diff --git a/sage/.run.term-0.term b/sage/.run.term-0.term
index c122d07..652b263 100644
--- a/sage/.run.term-0.term
+++ b/sage/.run.term-0.term
@@ -1,26716 +1,4 @@
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----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [51], in <cell line: 1>()
-----> 1 load('tests.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:4, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:14, in <module>
-
-File <string>:24, in group_action_matrices_holo(AS)
-
-File <string>:12, in group_action_matrices(space, list_of_group_elements)
-
-TypeError: unsupported operand type(s) for +=: 'sage.matrix.matrix_modn_dense_float.Matrix_modn_dense_float' and 'list'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lmagmathis(A, B)[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lG[?7h[?12l[?25h[?25l[?7lF[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l3[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(),[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l3[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l3[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: matrix(GF(3), 3, 3)

-[?7h[?12l[?25h[?2004l[?7h[0 0 0]
-[0 0 0]
-[0 0 0]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.fct_field[?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l2[?7h[?12l[?25h[?25l[?7l}[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lmatrix(GF(3), 3, 3)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAmatrix(GF(3), 3, 3)[?7h[?12l[?25h[?25l[?7l matrix(GF(3), 3, 3)[?7h[?12l[?25h[?25l[?7l=matrix(GF(3), 3, 3)[?7h[?12l[?25h[?25l[?7l matrix(GF(3), 3, 3)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: A = matrix(GF(3), 3, 3)

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA = matrix(GF(3), 3, 3)[?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7lsage: A[1, 2]

-[?7h[?12l[?25h[?2004l[?7h0
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA[1, 2][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l3[?7h[?12l[?25h[?25l[?7lsage: A[1, 2] = 3

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA[1, 2] = 3[?7h[?12l[?25h[?25l[?7lsage: A

-[?7h[?12l[?25h[?2004l[?7h[0 0 0]
-[0 0 0]
-[0 0 0]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7l[1, 2] = 3[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l2[?7h[?12l[?25h[?25l[?7lsage: A[1, 2] = 2

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA[1, 2] = 2[?7h[?12l[?25h[?25l[?7lsage: A

-[?7h[?12l[?25h[?2004l[?7h[0 0 0]
-[0 0 2]
-[0 0 0]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7l[1, 2] = 2[?7h[?12l[?25h[?25l[?7l:[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l2[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lv[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[)[?7h[?12l[?25h[?25l[?7l1)[?7h[?12l[?25h[?25l[?7l,)[?7h[?12l[?25h[?25l[?7l )[?7h[?12l[?25h[?25l[?7l1)[?7h[?12l[?25h[?25l[?7l,)[?7h[?12l[?25h[?25l[?7l )[?7h[?12l[?25h[?25l[?7l1)[?7h[?12l[?25h[?25l[?7l])[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: A[:, 2] = vector([1, 1, 1])

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA[:, 2] = vector([1, 1, 1])[?7h[?12l[?25h[?25l[?7lsage: A

-[?7h[?12l[?25h[?2004l[?7h[0 0 1]
-[0 0 1]
-[0 0 1]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[1;3S[?7h[?12l[?25h]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ sage
-┌────────────────────────────────────────────────────────────────────┐
-│ SageMath version 9.7, Release Date: 2022-09-19                     │
-│ Using Python 3.10.5. Type "help()" for help.                       │
-└────────────────────────────────────────────────────────────────────┘
-]0;IPython: DeRhamComputation/sage[?2004h[?1l[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('tests.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l'[?7h[?12l[?25h[?25l[?7lini.sage')[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l(it.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-NameError                                 Traceback (most recent call last)
-Input In [1], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:7, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:2, in <module>
-
-File <string>:73, in as_form()
-
-NameError: name 'AS' is not defined
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-NameError                                 Traceback (most recent call last)
-Input In [2], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:7, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:2, in <module>
-
-File <string>:73, in as_form()
-
-NameError: name 'AS' is not defined
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-NameError                                 Traceback (most recent call last)
-Input In [3], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:7, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:2, in <module>
-
-File <string>:73, in as_form()
-
-NameError: name 'self' is not defined
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l'[?7h[?12l[?25h[?25l[?7ltess.sage')[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7l(sts.sage')[?7h[?12l[?25h[?25l[?7lsage: load('tests.sage')

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-AttributeError                            Traceback (most recent call last)
-Input In [5], in <cell line: 1>()
-----> 1 load('tests.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:4, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:14, in <module>
-
-File <string>:21, in group_action_matrices_holo(AS)
-
-File <string>:10, in group_action_matrices(space, list_of_group_elements)
-
-File <string>:77, in coordinates(self, basis)
-
-AttributeError: 'as_form' object has no attribute 'holomorphic_differentials_basis'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('tests.sage')[?7h[?12l[?25h[?25l[?7lini.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7ltess.sage')[?7h[?12l[?25h[?25l[?7lsage: load('tests.sage')

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [7], in <cell line: 1>()
-----> 1 load('tests.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:4, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:14, in <module>
-
-File <string>:21, in group_action_matrices_holo(AS)
-
-File <string>:11, in group_action_matrices(space, list_of_group_elements)
-
-TypeError: list indices must be integers or slices, not tuple
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('tests.sage')[?7h[?12l[?25h[?25l[?7lini.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7ltess.sage')[?7h[?12l[?25h[?25l[?7lsage: load('tests.sage')

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-IndexError                                Traceback (most recent call last)
-Input In [9], in <cell line: 1>()
-----> 1 load('tests.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:4, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:14, in <module>
-
-File <string>:21, in group_action_matrices_holo(AS)
-
-File <string>:11, in group_action_matrices(space, list_of_group_elements)
-
-IndexError: list index out of range
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('tests.sage')[?7h[?12l[?25h[?25l[?7lini.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7ltess.sage')[?7h[?12l[?25h[?25l[?7lsage: load('tests.sage')

-[?7h[?12l[?25h[?2004l]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ sage
-┌────────────────────────────────────────────────────────────────────┐
-│ SageMath version 9.7, Release Date: 2022-09-19                     │
-│ Using Python 3.10.5. Type "help()" for help.                       │
-└────────────────────────────────────────────────────────────────────┘
-]0;IPython: DeRhamComputation/sage[?2004h[?1l[?25l[?7lsage: [?7h[?12l[?25h[?7h[?2004lWARNING: your terminal doesn't support cursor position requests (CPR).

-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('tests.sage')[?7h[?12l[?25h[?25l[?7lini.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7ltess.sage')[?7h[?12l[?25h[?25l[?7lsage: load('tests.sage')

-[?7h[?12l[?25h[?2004l^C^C
-KeyboardInterrupt
-
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('tests.sage')[?7h[?12l[?25h[?25l[?7lsage: load('tests.sage')

-[?7h[?12l[?25h[?2004l^C^C
-KeyboardInterrupt
-
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('tests.sage')[?7h[?12l[?25h[?25l[?7lini.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7ltess.sage')[?7h[?12l[?25h[?25l[?7lsage: load('tests.sage')

-[?7h[?12l[?25h[?2004l0 0 [1, 0] (1) * dx
-0 1 [1, 0] (z1) * dx
-0 2 [1, 0] (z1^2) * dx
-0 3 [1, 0] (z1^3) * dx
-0 4 [1, 0] ((-3*x^2*z0^5*z1 - 2*x^2*z0^5 + 2*x^3*z0^3*z1 + 2*x^3*z0^3 + 3*x^4*z0*z1 + 3*x^2*y*z0^2*z1 - 3*x^4*z0 + 2*x^3*y*z1 + y*z1^4 + 3*x^3*y)/y) * dx
-0 5 [1, 0] ((x^2*z0^5*z1 - x^2*z0^5 - 3*x^3*z0^3*z1 - x*z0*z1^5 + x^3*z0^3 - x^4*z0*z1 - x^2*y*z0^2*z1 + y*z1^5 + 2*x^4*z0 - 3*x^3*y*z1 - 2*x^3*y)/y) * dx
-0 6 [1, 0] ((-3*z0^3*z1^6 - 3*x^2*z0^5*z1 + 2*x*z0*z1^6 - 3*x^2*z0^5 + 2*x^3*z0^3*z1 + y*z1^6 + 3*x^3*z0^3 + 3*x^4*z0*z1 + 3*x^2*y*z0^2*z1 - x^4*z0 + 2*x^3*y*z1 + x^3*y)/y) * dx
-0 7 [1, 0] (z0) * dx
-0 8 [1, 0] (z0*z1) * dx
-0 9 [1, 0] (z0*z1^2) * dx
-0 10 [1, 0] ((-x^2*z1^3 + y*z0*z1^3)/y) * dx
-0 11 [1, 0] ((3*x^2*z0^6*z1 + 2*x^2*z0^6 - 3*x^3*z0^4*z1 - 3*x^3*z0^4 - 2*x^4*z0^2*z1 + x^2*y*z0^3*z1 + 2*x^4*z0^2 - x^5*z1 + 2*x^3*y*z0*z1 - x^2*z1^4 + y*z0*z1^4 + 3*x^5 + 3*x^3*y*z0 - x^2*z1^3)/y) * dx
-0 12 [1, 0] ((-x^2*z0^6*z1 + x^2*z0^6 + x^3*z0^4*z1 + 3*x*z0^2*z1^5 + 2*x^3*z0^4 + 3*x^4*z0^2*z1 + 2*x^2*y*z0^3*z1 + 3*x^2*z1^5 + y*z0*z1^5 + x^4*z0^2 - 2*x^5*z1 - 3*x^3*y*z0*z1 - 2*x^5 - 2*x^3*y*z0 + x^2*z1^3)/y) * dx
-0 13 [1, 0] ((z0^4*z1^6 + 3*x^2*z0^6*z1 + x*z0^2*z1^6 + 3*x^2*z0^6 - 3*x^3*z0^4*z1 - 3*x^2*z1^6 + y*z0*z1^6 - x^3*z0^4 - 2*x^4*z0^2*z1 + x^2*y*z0^3*z1 + 3*x^4*z0^2 - x^5*z1 + 2*x^3*y*z0*z1 + x^5 + x^3*y*z0 + x^2*z1^3)/y) * dx
-0 14 [1, 0] (z0^2) * dx
-0 15 [1, 0] (z0^2*z1) * dx
-0 16 [1, 0] ((-x^2*z0*z1^2 + y*z0^2*z1^2)/y) * dx
-0 17 [1, 0] ((3*x*z0^3*z1^3 + 3*x^2*z0*z1^3 + y*z0^2*z1^3)/y) * dx
-0 18 [1, 0] ((-3*x^3*z0^5*z1 - 3*x*y*z0^6*z1 + 3*x^3*z0^5 - 3*x^4*z0^3*z1 - 3*x^2*y*z0^4*z1 + 3*x*z0^3*z1^4 + 2*x^4*z0^3 - x^2*y*z0^4 - 3*x^5*z0*z1 - 3*x^3*y*z0^2*z1 - 3*x*z0^3*z1^3 + 3*x^2*z0*z1^4 + y*z0^2*z1^4 + x^5*z0 - 2*x^3*y*z0^2 - 3*x^4*y*z1 + 3*x^2*z0*z1^3 - 3*x^4*y + x^2*z0*z1^2)/y) * dx
-0 19 [1, 0] ((-2*x^3*z0^5*z1 - 2*x*y*z0^6*z1 + 2*x*z0^3*z1^5 - 3*x^3*z0^5 - 2*x^4*z0^3*z1 - 2*x^2*y*z0^4*z1 - x^2*z0*z1^5 + y*z0^2*z1^5 - 2*x^4*z0^3 + x^2*y*z0^4 - 2*x^5*z0*z1 - 2*x^3*y*z0^2*z1 + x*z0^3*z1^3 - 2*x*y*z1^5 - x^5*z0 + 2*x^3*y*z0^2 - 2*x^4*y*z1 - x^2*z0*z1^3 + 3*x^4*y - 2*x^2*z0*z1^2)/y) * dx
-0 20 [1, 0] ((-z0^5*z1^6 + 3*x*z0^3*z1^6 - x^3*z0^5*z1 - x*y*z0^6*z1 + x^2*z0*z1^6 + y*z0^2*z1^6 - 2*x^3*z0^5 - x^4*z0^3*z1 - x^2*y*z0^4*z1 + 3*x*y*z1^6 + x^4*z0^3 + 3*x^2*y*z0^4 - x^5*z0*z1 - x^3*y*z0^2*z1 + x*z0^3*z1^3 - 3*x^5*z0 - x^3*y*z0^2 - x^4*y*z1 - x^2*z0*z1^3 + 2*x^4*y + 3*x^2*z0*z1^2)/y) * dx
-0 21 [1, 0] (z0^3) * dx
-0 22 [1, 0] ((y*z0^3*z1 - x^3*z1)/y) * dx
-0 23 [1, 0] ((2*x^2*z0^2*z1^2 + y*z0^3*z1^2 - 3*x^3*z1^2)/y) * dx
-0 24 [1, 0] ((-3*x*z0^4*z1^3 + x^2*z0^2*z1^3 + y*z0^3*z1^3 + x^3*z1^3)/y) * dx
-0 25 [1, 0] ((-2*x*z0^4*z1^4 + 2*x^2*z0^2*z1^4 + y*z0^3*z1^4 - 2*x^3*z1^4 + x*y*z0*z1^4)/y) * dx
-0 26 [1, 0] ((-2*x*z0^4*z1^5 + x^3*z0^6 + 3*x*z0^4*z1^4 + 2*x^2*z0^2*z1^5 + y*z0^3*z1^5 + x^4*z0^4 + x^2*y*z0^5 - 3*x*z0^4*z1^3 + 3*x^2*z0^2*z1^4 - 2*x^3*z1^5 + x*y*z0*z1^5 + x^5*z0^2 + x^3*y*z0^3 - x^2*z0^2*z1^3 - 2*x^3*z1^4 + 3*x*y*z0*z1^4 + x^6 + x^4*y*z0 + 3*x^2*z0^2*z1^2 - 3*x^3*z1^3 - 3*x^3*z1^2 + 2*x^3*z1)/y) * dx
-0 27 [1, 0] ((3*z0^6*z1^6 - 3*x*z0^4*z1^6 - 2*x^2*z0^2*z1^6 + y*z0^3*z1^6 + 2*x^3*z0^6 - 2*x*z0^4*z1^4 - x^3*z1^6 + 2*x*y*z0*z1^6 + 2*x^4*z0^4 + 2*x^2*y*z0^5 - 2*x*z0^4*z1^3 - 2*x^2*z0^2*z1^4 + 2*x^5*z0^2 + 2*x^3*y*z0^3 - 3*x^2*z0^2*z1^3 - x^3*z1^4 - 2*x*y*z0*z1^4 + 2*x^6 + 2*x^4*y*z0 - 3*x^2*z0^2*z1^2 - 2*x^3*z1^3 + 3*x^3*z1^2 + 3*x^3*z1)/y) * dx
-0 28 [1, 0] ((y*z0^4 - x^3*z0)/y) * dx
-0 29 [1, 0] ((2*x^2*z0^3*z1 + y*z0^4*z1 - 3*x^3*z0*z1)/y) * dx
-0 30 [1, 0] ((-2*x^2*z0^3*z1^2 + y*z0^4*z1^2 + 2*x^3*z0*z1^2 - x^2*y*z1^2)/y) * dx
-0 31 [1, 0] ((-x*z0^5*z1^3 - x^2*z0^3*z1^3 + y*z0^4*z1^3 - 3*x^3*z0*z1^3 - 3*x^2*y*z1^3)/y) * dx
-0 32 [1, 0] ((-3*x*z0^5*z1^4 - 2*x^2*z0^3*z1^4 + y*z0^4*z1^4 - x^3*z0*z1^4 + 2*x*y*z0^2*z1^4 + 3*x^2*y*z1^4)/y) * dx
-0 33 [1, 0] ((-x^2*z0^4 + y*z0^5 + 3*x^3*z0^2 - 3*x^4)/y) * dx
-0 34 [1, 0] ((-x^2*z0^4*z1 + y*z0^5*z1 + x^2*z0^4 + 3*x^3*z0^2*z1 - 2*x^3*z0^2 - 3*x^4*z1 + x^4)/y) * dx
-0 35 [1, 0] ((x^2*z0^4*z1^2 + y*z0^5*z1^2 - 2*x^3*z0^2*z1^2 - 3*x^2*z0^4 - 2*x^4*z1^2 + 2*x^2*y*z0*z1^2 - x^3*z0^2 - 3*x^4)/y) * dx
-0 36 [1, 0] ((-2*x*z0^6*z1^3 - 3*x^2*z0^4*z1^3 + y*z0^5*z1^3 + 3*x^3*z0^2*z1^3 + 2*x^4*z1^3 - x^2*y*z0*z1^3 + x^2*z0^4 - 2*x^3*z0^2 + x^4)/y) * dx
-0 37 [1, 0] ((x*z0^6*z1^4 + x^2*z0^4*z1^4 + y*z0^5*z1^4 + x^3*z0^2*z1^4 + x*y*z0^3*z1^4 + x^4*z1^4 + x^2*y*z0*z1^4 - x^2*z0^4 + 2*x^3*z0^2 - x^4)/y) * dx
-0 38 [1, 0] ((3*x^2*z0^5 + y*z0^6 - x^3*z0^3 + 3*x^4*z0 + x^3*y)/y) * dx
-0 39 [1, 0] ((-3*x^2*z0^5*z1 + y*z0^6*z1 + 3*x^3*z0^3*z1 + 2*x^4*z0*z1 - x^2*y*z0^2*z1 - 2*x^3*y*z1)/y) * dx
-0 40 [1, 0] ((-3*x^2*z0^5*z1^2 + y*z0^6*z1^2 - 2*x^2*z0^5*z1 + 3*x^3*z0^3*z1^2 + 3*x^2*z0^5 - x^3*z0^3*z1 + 2*x^4*z0*z1^2 - x^2*y*z0^2*z1^2 - 3*x^3*z0^3 + 2*x^4*z0*z1 + 2*x^2*y*z0^2*z1 - 2*x^3*y*z1^2 + x^4*z0 - x^3*y*z1 - x^3*y)/y) * dx
-0 41 [1, 0] ((x^2*z0^5*z1^3 + y*z0^6*z1^3 + x^3*z0^3*z1^3 + x*y*z0^4*z1^3 + 3*x^2*z0^5*z1 + x^4*z0*z1^3 + x^2*y*z0^2*z1^3 + x^2*z0^5 - 2*x^3*z0^3*z1 + x^3*y*z1^3 - x^3*z0^3 - 3*x^4*z0*z1 - 3*x^2*y*z0^2*z1 - 2*x^4*z0 - 2*x^3*y*z1 + 2*x^3*y)/y) * dx
-0 42 [1, 0] (1/y) * dx
-0 43 [1, 0] (z1/y) * dx
-0 44 [1, 0] (z1^2/y) * dx
-0 45 [1, 0] (z1^3/y) * dx
-0 46 [1, 0] (z1^4/y) * dx
-0 47 [1, 0] (z1^5/y) * dx
-0 48 [1, 0] (z1^6/y) * dx
-0 49 [1, 0] (z0/y) * dx
-0 50 [1, 0] (z0*z1/y) * dx
-0 51 [1, 0] (z0*z1^2/y) * dx
-0 52 [1, 0] (z0*z1^3/y) * dx
-0 53 [1, 0] (z0*z1^4/y) * dx
-0 54 [1, 0] (z0*z1^5/y) * dx
-0 55 [1, 0] (z0*z1^6/y) * dx
-0 56 [1, 0] (z0^2/y) * dx
-0 57 [1, 0] (z0^2*z1/y) * dx
-0 58 [1, 0] (z0^2*z1^2/y) * dx
-0 59 [1, 0] (z0^2*z1^3/y) * dx
-0 60 [1, 0] (z0^2*z1^4/y) * dx
-0 61 [1, 0] ((z0^2*z1^5 - x^2*z0^4 + 2*x^3*z0^2 - x^4)/y) * dx
-0 62 [1, 0] ((z0^2*z1^6 - x*z1^6 - x^2*z0^4 + 2*x^3*z0^2 - x^4)/y) * dx
-0 63 [1, 0] (z0^3/y) * dx
-0 64 [1, 0] (z0^3*z1/y) * dx
-0 65 [1, 0] (z0^3*z1^2/y) * dx
-0 66 [1, 0] (z0^3*z1^3/y) * dx
-0 67 [1, 0] ((-3*x^2*z0^5*z1 - 2*x^2*z0^5 + 2*x^3*z0^3*z1 + z0^3*z1^4 + 2*x^3*z0^3 + 3*x^4*z0*z1 + 3*x^2*y*z0^2*z1 - 3*x^4*z0 + 2*x^3*y*z1 + 3*x^3*y)/y) * dx
-0 68 [1, 0] ((-2*x^2*z0^5*z1 + z0^3*z1^5 + 2*x^2*z0^5 - x^3*z0^3*z1 - x*z0*z1^5 - 2*x^3*z0^3 + 2*x^4*z0*z1 + 2*x^2*y*z0^2*z1 + 3*x^4*z0 - x^3*y*z1 - 3*x^3*y)/y) * dx
-0 69 [1, 0] (z0^4/y) * dx
-0 70 [1, 0] (z0^4*z1/y) * dx
-0 71 [1, 0] (z0^4*z1^2/y) * dx
-0 72 [1, 0] ((z0^4*z1^3 - x^2*z1^3)/y) * dx
-0 73 [1, 0] ((-2*x^2*z0^6*z1 + x^2*z0^6 + 2*x^3*z0^4*z1 + z0^4*z1^4 + 2*x^3*z0^4 - x^4*z0^2*z1 - 3*x^2*y*z0^3*z1 + x^4*z0^2 + 3*x^5*z1 + x^3*y*z0*z1 - x^2*z1^4 - 2*x^5 - 2*x^3*y*z0 + 3*x^2*z1^3)/y) * dx
-0 74 [1, 0] ((x^2*z0^6*z1 + z0^4*z1^5 - x^2*z0^6 - x^3*z0^4*z1 - 2*x*z0^2*z1^5 - 2*x^3*z0^4 - 3*x^4*z0^2*z1 - 2*x^2*y*z0^3*z1 + x^2*z1^5 - x^4*z0^2 + 2*x^5*z1 + 3*x^3*y*z0*z1 + 2*x^5 + 2*x^3*y*z0 - x^2*z1^3)/y) * dx
-0 75 [1, 0] (z0^5/y) * dx
-0 76 [1, 0] (z0^5*z1/y) * dx
-0 77 [1, 0] ((z0^5*z1^2 - x^2*z0*z1^2)/y) * dx
-0 78 [1, 0] ((z0^5*z1^3 - 2*x*z0^3*z1^3 + x^2*z0*z1^3)/y) * dx
-0 79 [1, 0] ((3*x^3*z0^5*z1 + 3*x*y*z0^6*z1 + z0^5*z1^4 - 3*x^3*z0^5 + 3*x^4*z0^3*z1 + 3*x^2*y*z0^4*z1 - 2*x*z0^3*z1^4 - 2*x^4*z0^3 + x^2*y*z0^4 + 3*x^5*z0*z1 + 3*x^3*y*z0^2*z1 + 3*x*z0^3*z1^3 + x^2*z0*z1^4 - x^5*z0 + 2*x^3*y*z0^2 + 3*x^4*y*z1 - 3*x^2*z0*z1^3 + 3*x^4*y - x^2*z0*z1^2)/y) * dx
-0 80 [1, 0] ((z0^5*z1^5 - 2*x^3*z0^5*z1 - 2*x*y*z0^6*z1 - x*z0^3*z1^5 - 3*x^3*z0^5 - 2*x^4*z0^3*z1 - 2*x^2*y*z0^4*z1 - 2*x^2*z0*z1^5 - 2*x^4*z0^3 + x^2*y*z0^4 - 2*x^5*z0*z1 - 2*x^3*y*z0^2*z1 + x*z0^3*z1^3 + 2*x*y*z1^5 - x^5*z0 + 2*x^3*y*z0^2 - 2*x^4*y*z1 - x^2*z0*z1^3 + 3*x^4*y - 2*x^2*z0*z1^2)/y) * dx
-0 81 [1, 0] (z0^6/y) * dx
-0 82 [1, 0] ((z0^6*z1 - x^3*z1)/y) * dx
-0 83 [1, 0] ((z0^6*z1^2 - 3*x^2*z0^2*z1^2 + 2*x^3*z1^2)/y) * dx
-0 84 [1, 0] ((z0^6*z1^3 - 3*x*z0^4*z1^3 + 3*x^2*z0^2*z1^3 - x^3*z1^3)/y) * dx
-0 85 [1, 0] ((z0^6*z1^4 + 2*x*z0^4*z1^4 + x^2*z0^2*z1^4 - 2*x^3*z1^4 - 2*x*y*z0*z1^4)/y) * dx
-0 86 [1, 0] ((z0^6*z1^5 + 2*x*z0^4*z1^5 + 2*x^3*z0^6 - x*z0^4*z1^4 + x^2*z0^2*z1^5 + 2*x^4*z0^4 + 2*x^2*y*z0^5 + x*z0^4*z1^3 - x^2*z0^2*z1^4 - 2*x^3*z1^5 - 2*x*y*z0*z1^5 + 2*x^5*z0^2 + 2*x^3*y*z0^3 - 2*x^2*z0^2*z1^3 + 3*x^3*z1^4 - x*y*z0*z1^4 + 2*x^6 + 2*x^4*y*z0 - x^2*z0^2*z1^2 + x^3*z1^3 + x^3*z1^2 - 3*x^3*z1)/y) * dx
-0 87 [1, 0] (x) * dx
-0 88 [1, 0] (x*z1) * dx
-0 89 [1, 0] ((-x^2*z0*z1^2 + x*y*z1^2)/y) * dx
-0 90 [1, 0] ((-3*x*z0^3*z1^3 + 2*x^2*z0*z1^3 + x*y*z1^3)/y) * dx
-0 91 [1, 0] ((2*x^3*z0^5*z1 + 2*x*y*z0^6*z1 - 2*x^3*z0^5 + 2*x^4*z0^3*z1 + 2*x^2*y*z0^4*z1 - 3*x*z0^3*z1^4 + x^4*z0^3 + 3*x^2*y*z0^4 + 2*x^5*z0*z1 + 2*x^3*y*z0^2*z1 + 2*x*z0^3*z1^3 + 2*x^2*z0*z1^4 - 3*x^5*z0 - x^3*y*z0^2 + 2*x^4*y*z1 - 2*x^2*z0*z1^3 + x*y*z1^4 + 2*x^4*y - 3*x^2*z0*z1^2)/y) * dx
-0 92 [1, 0] (x*z0) * dx
-0 93 [1, 0] ((-x^3*z1 + x*y*z0*z1)/y) * dx
-0 94 [1, 0] ((3*x^2*z0^2*z1^2 + 3*x^3*z1^2 + x*y*z0*z1^2)/y) * dx
-0 95 [1, 0] ((x*z0^4*z1^3 + x^2*z0^2*z1^3 - 3*x^3*z1^3 + x*y*z0*z1^3)/y) * dx
-0 96 [1, 0] ((-x^3*z0 + x*y*z0^2)/y) * dx
-0 97 [1, 0] ((3*x^2*z0^3*z1 + 3*x^3*z0*z1 + x*y*z0^2*z1)/y) * dx
-0 98 [1, 0] ((2*x^2*z0^3*z1^2 - x^3*z0*z1^2 + x*y*z0^2*z1^2 - 2*x^2*y*z1^2)/y) * dx
-0 99 [1, 0] ((-x*z0^5*z1^3 + 3*x^2*z0^3*z1^3 + x^3*z0*z1^3 + x*y*z0^2*z1^3 + 3*x^2*y*z1^3)/y) * dx
-0 100 [1, 0] ((-3*x^2*z0^4 + x^3*z0^2 + x*y*z0^3 + x^4)/y) * dx
-0 101 [1, 0] ((-3*x^2*z0^4*z1 - 3*x^2*z0^4 + x^3*z0^2*z1 + x*y*z0^3*z1 - x^3*z0^2 + x^4*z1 - 3*x^4)/y) * dx
-0 102 [1, 0] ((-2*x^2*z0^4*z1^2 + 2*x^3*z0^2*z1^2 + x*y*z0^3*z1^2 + x^2*z0^4 - 2*x^4*z1^2 + x^2*y*z0*z1^2 - 2*x^3*z0^2 + x^4)/y) * dx
-0 103 [1, 0] ((3*x*z0^6*z1^3 - 3*x^2*z0^4*z1^3 - 2*x^3*z0^2*z1^3 + x*y*z0^3*z1^3 - x^4*z1^3 + 2*x^2*y*z0*z1^3 - x^2*z0^4 + 2*x^3*z0^2 - x^4)/y) * dx
-0 104 [1, 0] ((-x^2*z0^5 - x^3*z0^3 + x*y*z0^4 - 3*x^4*z0 - 3*x^3*y)/y) * dx
-0 105 [1, 0] ((-3*x^2*z0^5*z1 - 2*x^3*z0^3*z1 + x*y*z0^4*z1 - x^4*z0*z1 + 2*x^2*y*z0^2*z1 + 3*x^3*y*z1)/y) * dx
-0 106 [1, 0] ((-3*x^2*z0^5*z1^2 + 2*x^2*z0^5*z1 - 2*x^3*z0^3*z1^2 + x*y*z0^4*z1^2 - 3*x^2*z0^5 + x^3*z0^3*z1 - x^4*z0*z1^2 + 2*x^2*y*z0^2*z1^2 + 3*x^3*z0^3 - 2*x^4*z0*z1 - 2*x^2*y*z0^2*z1 + 3*x^3*y*z1^2 - x^4*z0 + x^3*y*z1 + x^3*y)/y) * dx
-0 107 [1, 0] ((-2*x^2*z0^6 - 3*x^3*z0^4 + x*y*z0^5 + 3*x^4*z0^2 + 2*x^5 - x^3*y*z0)/y) * dx
-0 108 [1, 0] ((x^2*z0^6*z1 + x^3*z0^4*z1 + x*y*z0^5*z1 + x^4*z0^2*z1 + x^2*y*z0^3*z1 + x^5*z1 + x^3*y*z0*z1)/y) * dx
-0 109 [1, 0] ((x^2*z0^6*z1^2 - 3*x^2*z0^6*z1 + x^3*z0^4*z1^2 + x*y*z0^5*z1^2 + x^2*z0^6 + 3*x^3*z0^4*z1 + x^4*z0^2*z1^2 + x^2*y*z0^3*z1^2 + 2*x^3*z0^4 + 2*x^4*z0^2*z1 - x^2*y*z0^3*z1 + x^5*z1^2 + x^3*y*z0*z1^2 + x^4*z0^2 + x^5*z1 - 2*x^3*y*z0*z1 - 2*x^5 - 2*x^3*y*z0 + 2*x^2*z1^3)/y) * dx
-0 110 [1, 0] ((x^3*z0^5 + x*y*z0^6 + x^4*z0^3 + x^2*y*z0^4 + x^5*z0 + x^3*y*z0^2 + x^4*y)/y) * dx
-0 111 [1, 0] (x/y) * dx
-0 112 [1, 0] (x*z1/y) * dx
-0 113 [1, 0] (x*z1^2/y) * dx
-0 114 [1, 0] (x*z1^3/y) * dx
-0 115 [1, 0] (x*z1^4/y) * dx
-0 116 [1, 0] ((-x^2*z0^4 + x*z1^5 + 2*x^3*z0^2 - x^4)/y) * dx
-0 117 [1, 0] (x*z0/y) * dx
-0 118 [1, 0] (x*z0*z1/y) * dx
-0 119 [1, 0] (x*z0*z1^2/y) * dx
-0 120 [1, 0] (x*z0*z1^3/y) * dx
-0 121 [1, 0] ((-3*x^2*z0^5*z1 - 2*x^2*z0^5 + 2*x^3*z0^3*z1 + 2*x^3*z0^3 + 3*x^4*z0*z1 + 3*x^2*y*z0^2*z1 + x*z0*z1^4 - 3*x^4*z0 + 2*x^3*y*z1 + 3*x^3*y)/y) * dx
-0 122 [1, 0] (x*z0^2/y) * dx
-0 123 [1, 0] (x*z0^2*z1/y) * dx
-0 124 [1, 0] (x*z0^2*z1^2/y) * dx
-0 125 [1, 0] ((x*z0^2*z1^3 - x^2*z1^3)/y) * dx
-0 126 [1, 0] ((-x^2*z0^6*z1 - 3*x^2*z0^6 + x^3*z0^4*z1 + x^3*z0^4 + 3*x^4*z0^2*z1 + 2*x^2*y*z0^3*z1 + x*z0^2*z1^4 - 3*x^4*z0^2 - 2*x^5*z1 - 3*x^3*y*z0*z1 - x^2*z1^4 - x^5 - x^3*y*z0 - 2*x^2*z1^3)/y) * dx
-0 127 [1, 0] (x*z0^3/y) * dx
-0 128 [1, 0] (x*z0^3*z1/y) * dx
-0 129 [1, 0] ((x*z0^3*z1^2 - x^2*z0*z1^2)/y) * dx
-0 130 [1, 0] (x*z0^4/y) * dx
-0 131 [1, 0] ((x*z0^4*z1 - x^3*z1)/y) * dx
-0 132 [1, 0] ((x*z0^4*z1^2 - 2*x^2*z0^2*z1^2 + x^3*z1^2)/y) * dx
-0 133 [1, 0] ((x*z0^5 - x^3*z0)/y) * dx
-0 134 [1, 0] ((x*z0^5*z1 - 2*x^2*z0^3*z1 + x^3*z0*z1)/y) * dx
-0 135 [1, 0] ((x*z0^5*z1^2 - x^2*z0^3*z1^2 - 2*x^3*z0*z1^2 + 2*x^2*y*z1^2)/y) * dx
-0 136 [1, 0] ((x*z0^6 - 3*x^2*z0^4 + 3*x^3*z0^2 - x^4)/y) * dx
-0 137 [1, 0] ((x*z0^6*z1 - 3*x^2*z0^4*z1 - x^2*z0^4 + 3*x^3*z0^2*z1 + 2*x^3*z0^2 - x^4*z1 - x^4)/y) * dx
-0 138 [1, 0] ((x*z0^6*z1^2 + 2*x^2*z0^4*z1^2 + x^3*z0^2*z1^2 + 2*x^2*z0^4 - 2*x^4*z1^2 - 2*x^2*y*z0*z1^2 + 3*x^3*z0^2 + 2*x^4)/y) * dx
-0 139 [1, 0] ((-x^3*z0 + x^2*y)/y) * dx
-0 140 [1, 0] ((-3*x^2*z0^3*z1 + 2*x^3*z0*z1 + x^2*y*z1)/y) * dx
-0 141 [1, 0] ((x^2*z0^4 + x^3*z0^2 - 3*x^4 + x^2*y*z0)/y) * dx
-0 142 [1, 0] ((x^2*z0^4*z1 + 3*x^2*z0^4 + x^3*z0^2*z1 + x^3*z0^2 - 3*x^4*z1 + x^2*y*z0*z1 + 3*x^4)/y) * dx
-0 143 [1, 0] ((-x^2*z0^5 + 3*x^3*z0^3 + x^4*z0 + x^2*y*z0^2 + 3*x^3*y)/y) * dx
-0 144 [1, 0] ((3*x^2*z0^6 - 3*x^3*z0^4 - 2*x^4*z0^2 + x^2*y*z0^3 - x^5 + 2*x^3*y*z0)/y) * dx
-0 145 [1, 0] (x^2/y) * dx
-0 146 [1, 0] (x^2*z1/y) * dx
-0 147 [1, 0] (x^2*z1^2/y) * dx
-0 148 [1, 0] (x^2*z0/y) * dx
-0 149 [1, 0] (x^2*z0*z1/y) * dx
-0 150 [1, 0] (x^2*z0^2/y) * dx
-0 151 [1, 0] ((x^2*z0^2*z1 - x^3*z1)/y) * dx
-0 152 [1, 0] ((x^2*z0^3 - x^3*z0)/y) * dx
-0 153 [1, 0] (x^3/y) * dx
-1 0 [0, 1] (1) * dx
-1 1 [0, 1] (z1) * dx
-1 2 [0, 1] (z1^2) * dx
-1 3 [0, 1] (z1^3) * dx
-1 4 [0, 1] ((-3*x^2*z0^5*z1 - 2*x^2*z0^5 + 2*x^3*z0^3*z1 + 2*x^3*z0^3 + 3*x^4*z0*z1 + 3*x^2*y*z0^2*z1 - 3*x^4*z0 + 2*x^3*y*z1 + y*z1^4 + 3*x^3*y)/y) * dx
-1 5 [0, 1] ((x^2*z0^5*z1 - x^2*z0^5 - 3*x^3*z0^3*z1 - x*z0*z1^5 + x^3*z0^3 - x^4*z0*z1 - x^2*y*z0^2*z1 + y*z1^5 + 2*x^4*z0 - 3*x^3*y*z1 - 2*x^3*y)/y) * dx
-1 6 [0, 1] ((-3*z0^3*z1^6 - 3*x^2*z0^5*z1 + 2*x*z0*z1^6 - 3*x^2*z0^5 + 2*x^3*z0^3*z1 + y*z1^6 + 3*x^3*z0^3 + 3*x^4*z0*z1 + 3*x^2*y*z0^2*z1 - x^4*z0 + 2*x^3*y*z1 + x^3*y)/y) * dx
-1 7 [0, 1] (z0) * dx
-1 8 [0, 1] (z0*z1) * dx
-1 9 [0, 1] (z0*z1^2) * dx
-1 10 [0, 1] ((-x^2*z1^3 + y*z0*z1^3)/y) * dx
-1 11 [0, 1] ((3*x^2*z0^6*z1 + 2*x^2*z0^6 - 3*x^3*z0^4*z1 - 3*x^3*z0^4 - 2*x^4*z0^2*z1 + x^2*y*z0^3*z1 + 2*x^4*z0^2 - x^5*z1 + 2*x^3*y*z0*z1 - x^2*z1^4 + y*z0*z1^4 + 3*x^5 + 3*x^3*y*z0 - x^2*z1^3)/y) * dx
-1 12 [0, 1] ((-x^2*z0^6*z1 + x^2*z0^6 + x^3*z0^4*z1 + 3*x*z0^2*z1^5 + 2*x^3*z0^4 + 3*x^4*z0^2*z1 + 2*x^2*y*z0^3*z1 + 3*x^2*z1^5 + y*z0*z1^5 + x^4*z0^2 - 2*x^5*z1 - 3*x^3*y*z0*z1 - 2*x^5 - 2*x^3*y*z0 + x^2*z1^3)/y) * dx
-1 13 [0, 1] ((z0^4*z1^6 + 3*x^2*z0^6*z1 + x*z0^2*z1^6 + 3*x^2*z0^6 - 3*x^3*z0^4*z1 - 3*x^2*z1^6 + y*z0*z1^6 - x^3*z0^4 - 2*x^4*z0^2*z1 + x^2*y*z0^3*z1 + 3*x^4*z0^2 - x^5*z1 + 2*x^3*y*z0*z1 + x^5 + x^3*y*z0 + x^2*z1^3)/y) * dx
-1 14 [0, 1] (z0^2) * dx
-1 15 [0, 1] (z0^2*z1) * dx
-1 16 [0, 1] ((-x^2*z0*z1^2 + y*z0^2*z1^2)/y) * dx
-1 17 [0, 1] ((3*x*z0^3*z1^3 + 3*x^2*z0*z1^3 + y*z0^2*z1^3)/y) * dx
-1 18 [0, 1] ((-3*x^3*z0^5*z1 - 3*x*y*z0^6*z1 + 3*x^3*z0^5 - 3*x^4*z0^3*z1 - 3*x^2*y*z0^4*z1 + 3*x*z0^3*z1^4 + 2*x^4*z0^3 - x^2*y*z0^4 - 3*x^5*z0*z1 - 3*x^3*y*z0^2*z1 - 3*x*z0^3*z1^3 + 3*x^2*z0*z1^4 + y*z0^2*z1^4 + x^5*z0 - 2*x^3*y*z0^2 - 3*x^4*y*z1 + 3*x^2*z0*z1^3 - 3*x^4*y + x^2*z0*z1^2)/y) * dx
-1 19 [0, 1] ((-2*x^3*z0^5*z1 - 2*x*y*z0^6*z1 + 2*x*z0^3*z1^5 - 3*x^3*z0^5 - 2*x^4*z0^3*z1 - 2*x^2*y*z0^4*z1 - x^2*z0*z1^5 + y*z0^2*z1^5 - 2*x^4*z0^3 + x^2*y*z0^4 - 2*x^5*z0*z1 - 2*x^3*y*z0^2*z1 + x*z0^3*z1^3 - 2*x*y*z1^5 - x^5*z0 + 2*x^3*y*z0^2 - 2*x^4*y*z1 - x^2*z0*z1^3 + 3*x^4*y - 2*x^2*z0*z1^2)/y) * dx
-1 20 [0, 1] ((-z0^5*z1^6 + 3*x*z0^3*z1^6 - x^3*z0^5*z1 - x*y*z0^6*z1 + x^2*z0*z1^6 + y*z0^2*z1^6 - 2*x^3*z0^5 - x^4*z0^3*z1 - x^2*y*z0^4*z1 + 3*x*y*z1^6 + x^4*z0^3 + 3*x^2*y*z0^4 - x^5*z0*z1 - x^3*y*z0^2*z1 + x*z0^3*z1^3 - 3*x^5*z0 - x^3*y*z0^2 - x^4*y*z1 - x^2*z0*z1^3 + 2*x^4*y + 3*x^2*z0*z1^2)/y) * dx
-1 21 [0, 1] (z0^3) * dx
-1 22 [0, 1] ((y*z0^3*z1 - x^3*z1)/y) * dx
-1 23 [0, 1] ((2*x^2*z0^2*z1^2 + y*z0^3*z1^2 - 3*x^3*z1^2)/y) * dx
-1 24 [0, 1] ((-3*x*z0^4*z1^3 + x^2*z0^2*z1^3 + y*z0^3*z1^3 + x^3*z1^3)/y) * dx
-1 25 [0, 1] ((-2*x*z0^4*z1^4 + 2*x^2*z0^2*z1^4 + y*z0^3*z1^4 - 2*x^3*z1^4 + x*y*z0*z1^4)/y) * dx
-1 26 [0, 1] ((-2*x*z0^4*z1^5 + x^3*z0^6 + 3*x*z0^4*z1^4 + 2*x^2*z0^2*z1^5 + y*z0^3*z1^5 + x^4*z0^4 + x^2*y*z0^5 - 3*x*z0^4*z1^3 + 3*x^2*z0^2*z1^4 - 2*x^3*z1^5 + x*y*z0*z1^5 + x^5*z0^2 + x^3*y*z0^3 - x^2*z0^2*z1^3 - 2*x^3*z1^4 + 3*x*y*z0*z1^4 + x^6 + x^4*y*z0 + 3*x^2*z0^2*z1^2 - 3*x^3*z1^3 - 3*x^3*z1^2 + 2*x^3*z1)/y) * dx
-1 27 [0, 1] ((3*z0^6*z1^6 - 3*x*z0^4*z1^6 - 2*x^2*z0^2*z1^6 + y*z0^3*z1^6 + 2*x^3*z0^6 - 2*x*z0^4*z1^4 - x^3*z1^6 + 2*x*y*z0*z1^6 + 2*x^4*z0^4 + 2*x^2*y*z0^5 - 2*x*z0^4*z1^3 - 2*x^2*z0^2*z1^4 + 2*x^5*z0^2 + 2*x^3*y*z0^3 - 3*x^2*z0^2*z1^3 - x^3*z1^4 - 2*x*y*z0*z1^4 + 2*x^6 + 2*x^4*y*z0 - 3*x^2*z0^2*z1^2 - 2*x^3*z1^3 + 3*x^3*z1^2 + 3*x^3*z1)/y) * dx
-1 28 [0, 1] ((y*z0^4 - x^3*z0)/y) * dx
-1 29 [0, 1] ((2*x^2*z0^3*z1 + y*z0^4*z1 - 3*x^3*z0*z1)/y) * dx
-1 30 [0, 1] ((-2*x^2*z0^3*z1^2 + y*z0^4*z1^2 + 2*x^3*z0*z1^2 - x^2*y*z1^2)/y) * dx
-1 31 [0, 1] ((-x*z0^5*z1^3 - x^2*z0^3*z1^3 + y*z0^4*z1^3 - 3*x^3*z0*z1^3 - 3*x^2*y*z1^3)/y) * dx
-1 32 [0, 1] ((-3*x*z0^5*z1^4 - 2*x^2*z0^3*z1^4 + y*z0^4*z1^4 - x^3*z0*z1^4 + 2*x*y*z0^2*z1^4 + 3*x^2*y*z1^4)/y) * dx
-1 33 [0, 1] ((-x^2*z0^4 + y*z0^5 + 3*x^3*z0^2 - 3*x^4)/y) * dx
-1 34 [0, 1] ((-x^2*z0^4*z1 + y*z0^5*z1 + x^2*z0^4 + 3*x^3*z0^2*z1 - 2*x^3*z0^2 - 3*x^4*z1 + x^4)/y) * dx
-1 35 [0, 1] ((x^2*z0^4*z1^2 + y*z0^5*z1^2 - 2*x^3*z0^2*z1^2 - 3*x^2*z0^4 - 2*x^4*z1^2 + 2*x^2*y*z0*z1^2 - x^3*z0^2 - 3*x^4)/y) * dx
-1 36 [0, 1] ((-2*x*z0^6*z1^3 - 3*x^2*z0^4*z1^3 + y*z0^5*z1^3 + 3*x^3*z0^2*z1^3 + 2*x^4*z1^3 - x^2*y*z0*z1^3 + x^2*z0^4 - 2*x^3*z0^2 + x^4)/y) * dx
-1 37 [0, 1] ((x*z0^6*z1^4 + x^2*z0^4*z1^4 + y*z0^5*z1^4 + x^3*z0^2*z1^4 + x*y*z0^3*z1^4 + x^4*z1^4 + x^2*y*z0*z1^4 - x^2*z0^4 + 2*x^3*z0^2 - x^4)/y) * dx
-1 38 [0, 1] ((3*x^2*z0^5 + y*z0^6 - x^3*z0^3 + 3*x^4*z0 + x^3*y)/y) * dx
-1 39 [0, 1] ((-3*x^2*z0^5*z1 + y*z0^6*z1 + 3*x^3*z0^3*z1 + 2*x^4*z0*z1 - x^2*y*z0^2*z1 - 2*x^3*y*z1)/y) * dx
-1 40 [0, 1] ((-3*x^2*z0^5*z1^2 + y*z0^6*z1^2 - 2*x^2*z0^5*z1 + 3*x^3*z0^3*z1^2 + 3*x^2*z0^5 - x^3*z0^3*z1 + 2*x^4*z0*z1^2 - x^2*y*z0^2*z1^2 - 3*x^3*z0^3 + 2*x^4*z0*z1 + 2*x^2*y*z0^2*z1 - 2*x^3*y*z1^2 + x^4*z0 - x^3*y*z1 - x^3*y)/y) * dx
-1 41 [0, 1] ((x^2*z0^5*z1^3 + y*z0^6*z1^3 + x^3*z0^3*z1^3 + x*y*z0^4*z1^3 + 3*x^2*z0^5*z1 + x^4*z0*z1^3 + x^2*y*z0^2*z1^3 + x^2*z0^5 - 2*x^3*z0^3*z1 + x^3*y*z1^3 - x^3*z0^3 - 3*x^4*z0*z1 - 3*x^2*y*z0^2*z1 - 2*x^4*z0 - 2*x^3*y*z1 + 2*x^3*y)/y) * dx
-1 42 [0, 1] (1/y) * dx
-1 43 [0, 1] (z1/y) * dx
-1 44 [0, 1] (z1^2/y) * dx
-1 45 [0, 1] (z1^3/y) * dx
-1 46 [0, 1] (z1^4/y) * dx
-1 47 [0, 1] (z1^5/y) * dx
-1 48 [0, 1] (z1^6/y) * dx
-1 49 [0, 1] (z0/y) * dx
-1 50 [0, 1] (z0*z1/y) * dx
-1 51 [0, 1] (z0*z1^2/y) * dx
-1 52 [0, 1] (z0*z1^3/y) * dx
-1 53 [0, 1] (z0*z1^4/y) * dx
-1 54 [0, 1] (z0*z1^5/y) * dx
-1 55 [0, 1] (z0*z1^6/y) * dx
-1 56 [0, 1] (z0^2/y) * dx
-1 57 [0, 1] (z0^2*z1/y) * dx
-1 58 [0, 1] (z0^2*z1^2/y) * dx
-1 59 [0, 1] (z0^2*z1^3/y) * dx
-1 60 [0, 1] (z0^2*z1^4/y) * dx
-1 61 [0, 1] ((z0^2*z1^5 - x^2*z0^4 + 2*x^3*z0^2 - x^4)/y) * dx
-1 62 [0, 1] ((z0^2*z1^6 - x*z1^6 - x^2*z0^4 + 2*x^3*z0^2 - x^4)/y) * dx
-1 63 [0, 1] (z0^3/y) * dx
-1 64 [0, 1] (z0^3*z1/y) * dx
-1 65 [0, 1] (z0^3*z1^2/y) * dx
-1 66 [0, 1] (z0^3*z1^3/y) * dx
-1 67 [0, 1] ((-3*x^2*z0^5*z1 - 2*x^2*z0^5 + 2*x^3*z0^3*z1 + z0^3*z1^4 + 2*x^3*z0^3 + 3*x^4*z0*z1 + 3*x^2*y*z0^2*z1 - 3*x^4*z0 + 2*x^3*y*z1 + 3*x^3*y)/y) * dx
-1 68 [0, 1] ((-2*x^2*z0^5*z1 + z0^3*z1^5 + 2*x^2*z0^5 - x^3*z0^3*z1 - x*z0*z1^5 - 2*x^3*z0^3 + 2*x^4*z0*z1 + 2*x^2*y*z0^2*z1 + 3*x^4*z0 - x^3*y*z1 - 3*x^3*y)/y) * dx
-1 69 [0, 1] (z0^4/y) * dx
-1 70 [0, 1] (z0^4*z1/y) * dx
-1 71 [0, 1] (z0^4*z1^2/y) * dx
-1 72 [0, 1] ((z0^4*z1^3 - x^2*z1^3)/y) * dx
-1 73 [0, 1] ((-2*x^2*z0^6*z1 + x^2*z0^6 + 2*x^3*z0^4*z1 + z0^4*z1^4 + 2*x^3*z0^4 - x^4*z0^2*z1 - 3*x^2*y*z0^3*z1 + x^4*z0^2 + 3*x^5*z1 + x^3*y*z0*z1 - x^2*z1^4 - 2*x^5 - 2*x^3*y*z0 + 3*x^2*z1^3)/y) * dx
-1 74 [0, 1] ((x^2*z0^6*z1 + z0^4*z1^5 - x^2*z0^6 - x^3*z0^4*z1 - 2*x*z0^2*z1^5 - 2*x^3*z0^4 - 3*x^4*z0^2*z1 - 2*x^2*y*z0^3*z1 + x^2*z1^5 - x^4*z0^2 + 2*x^5*z1 + 3*x^3*y*z0*z1 + 2*x^5 + 2*x^3*y*z0 - x^2*z1^3)/y) * dx
-1 75 [0, 1] (z0^5/y) * dx
-1 76 [0, 1] (z0^5*z1/y) * dx
-1 77 [0, 1] ((z0^5*z1^2 - x^2*z0*z1^2)/y) * dx
-1 78 [0, 1] ((z0^5*z1^3 - 2*x*z0^3*z1^3 + x^2*z0*z1^3)/y) * dx
-1 79 [0, 1] ((3*x^3*z0^5*z1 + 3*x*y*z0^6*z1 + z0^5*z1^4 - 3*x^3*z0^5 + 3*x^4*z0^3*z1 + 3*x^2*y*z0^4*z1 - 2*x*z0^3*z1^4 - 2*x^4*z0^3 + x^2*y*z0^4 + 3*x^5*z0*z1 + 3*x^3*y*z0^2*z1 + 3*x*z0^3*z1^3 + x^2*z0*z1^4 - x^5*z0 + 2*x^3*y*z0^2 + 3*x^4*y*z1 - 3*x^2*z0*z1^3 + 3*x^4*y - x^2*z0*z1^2)/y) * dx
-1 80 [0, 1] ((z0^5*z1^5 - 2*x^3*z0^5*z1 - 2*x*y*z0^6*z1 - x*z0^3*z1^5 - 3*x^3*z0^5 - 2*x^4*z0^3*z1 - 2*x^2*y*z0^4*z1 - 2*x^2*z0*z1^5 - 2*x^4*z0^3 + x^2*y*z0^4 - 2*x^5*z0*z1 - 2*x^3*y*z0^2*z1 + x*z0^3*z1^3 + 2*x*y*z1^5 - x^5*z0 + 2*x^3*y*z0^2 - 2*x^4*y*z1 - x^2*z0*z1^3 + 3*x^4*y - 2*x^2*z0*z1^2)/y) * dx
-1 81 [0, 1] (z0^6/y) * dx
-1 82 [0, 1] ((z0^6*z1 - x^3*z1)/y) * dx
-1 83 [0, 1] ((z0^6*z1^2 - 3*x^2*z0^2*z1^2 + 2*x^3*z1^2)/y) * dx
-1 84 [0, 1] ((z0^6*z1^3 - 3*x*z0^4*z1^3 + 3*x^2*z0^2*z1^3 - x^3*z1^3)/y) * dx
-1 85 [0, 1] ((z0^6*z1^4 + 2*x*z0^4*z1^4 + x^2*z0^2*z1^4 - 2*x^3*z1^4 - 2*x*y*z0*z1^4)/y) * dx
-1 86 [0, 1] ((z0^6*z1^5 + 2*x*z0^4*z1^5 + 2*x^3*z0^6 - x*z0^4*z1^4 + x^2*z0^2*z1^5 + 2*x^4*z0^4 + 2*x^2*y*z0^5 + x*z0^4*z1^3 - x^2*z0^2*z1^4 - 2*x^3*z1^5 - 2*x*y*z0*z1^5 + 2*x^5*z0^2 + 2*x^3*y*z0^3 - 2*x^2*z0^2*z1^3 + 3*x^3*z1^4 - x*y*z0*z1^4 + 2*x^6 + 2*x^4*y*z0 - x^2*z0^2*z1^2 + x^3*z1^3 + x^3*z1^2 - 3*x^3*z1)/y) * dx
-1 87 [0, 1] (x) * dx
-1 88 [0, 1] (x*z1) * dx
-1 89 [0, 1] ((-x^2*z0*z1^2 + x*y*z1^2)/y) * dx
-1 90 [0, 1] ((-3*x*z0^3*z1^3 + 2*x^2*z0*z1^3 + x*y*z1^3)/y) * dx
-1 91 [0, 1] ((2*x^3*z0^5*z1 + 2*x*y*z0^6*z1 - 2*x^3*z0^5 + 2*x^4*z0^3*z1 + 2*x^2*y*z0^4*z1 - 3*x*z0^3*z1^4 + x^4*z0^3 + 3*x^2*y*z0^4 + 2*x^5*z0*z1 + 2*x^3*y*z0^2*z1 + 2*x*z0^3*z1^3 + 2*x^2*z0*z1^4 - 3*x^5*z0 - x^3*y*z0^2 + 2*x^4*y*z1 - 2*x^2*z0*z1^3 + x*y*z1^4 + 2*x^4*y - 3*x^2*z0*z1^2)/y) * dx
-1 92 [0, 1] (x*z0) * dx
-1 93 [0, 1] ((-x^3*z1 + x*y*z0*z1)/y) * dx
-1 94 [0, 1] ((3*x^2*z0^2*z1^2 + 3*x^3*z1^2 + x*y*z0*z1^2)/y) * dx
-1 95 [0, 1] ((x*z0^4*z1^3 + x^2*z0^2*z1^3 - 3*x^3*z1^3 + x*y*z0*z1^3)/y) * dx
-1 96 [0, 1] ((-x^3*z0 + x*y*z0^2)/y) * dx
-1 97 [0, 1] ((3*x^2*z0^3*z1 + 3*x^3*z0*z1 + x*y*z0^2*z1)/y) * dx
-1 98 [0, 1] ((2*x^2*z0^3*z1^2 - x^3*z0*z1^2 + x*y*z0^2*z1^2 - 2*x^2*y*z1^2)/y) * dx
-1 99 [0, 1] ((-x*z0^5*z1^3 + 3*x^2*z0^3*z1^3 + x^3*z0*z1^3 + x*y*z0^2*z1^3 + 3*x^2*y*z1^3)/y) * dx
-1 100 [0, 1] ((-3*x^2*z0^4 + x^3*z0^2 + x*y*z0^3 + x^4)/y) * dx
-1 101 [0, 1] ((-3*x^2*z0^4*z1 - 3*x^2*z0^4 + x^3*z0^2*z1 + x*y*z0^3*z1 - x^3*z0^2 + x^4*z1 - 3*x^4)/y) * dx
-1 102 [0, 1] ((-2*x^2*z0^4*z1^2 + 2*x^3*z0^2*z1^2 + x*y*z0^3*z1^2 + x^2*z0^4 - 2*x^4*z1^2 + x^2*y*z0*z1^2 - 2*x^3*z0^2 + x^4)/y) * dx
-1 103 [0, 1] ((3*x*z0^6*z1^3 - 3*x^2*z0^4*z1^3 - 2*x^3*z0^2*z1^3 + x*y*z0^3*z1^3 - x^4*z1^3 + 2*x^2*y*z0*z1^3 - x^2*z0^4 + 2*x^3*z0^2 - x^4)/y) * dx
-1 104 [0, 1] ((-x^2*z0^5 - x^3*z0^3 + x*y*z0^4 - 3*x^4*z0 - 3*x^3*y)/y) * dx
-1 105 [0, 1] ((-3*x^2*z0^5*z1 - 2*x^3*z0^3*z1 + x*y*z0^4*z1 - x^4*z0*z1 + 2*x^2*y*z0^2*z1 + 3*x^3*y*z1)/y) * dx
-1 106 [0, 1] ((-3*x^2*z0^5*z1^2 + 2*x^2*z0^5*z1 - 2*x^3*z0^3*z1^2 + x*y*z0^4*z1^2 - 3*x^2*z0^5 + x^3*z0^3*z1 - x^4*z0*z1^2 + 2*x^2*y*z0^2*z1^2 + 3*x^3*z0^3 - 2*x^4*z0*z1 - 2*x^2*y*z0^2*z1 + 3*x^3*y*z1^2 - x^4*z0 + x^3*y*z1 + x^3*y)/y) * dx
-1 107 [0, 1] ((-2*x^2*z0^6 - 3*x^3*z0^4 + x*y*z0^5 + 3*x^4*z0^2 + 2*x^5 - x^3*y*z0)/y) * dx
-1 108 [0, 1] ((x^2*z0^6*z1 + x^3*z0^4*z1 + x*y*z0^5*z1 + x^4*z0^2*z1 + x^2*y*z0^3*z1 + x^5*z1 + x^3*y*z0*z1)/y) * dx
-1 109 [0, 1] ((x^2*z0^6*z1^2 - 3*x^2*z0^6*z1 + x^3*z0^4*z1^2 + x*y*z0^5*z1^2 + x^2*z0^6 + 3*x^3*z0^4*z1 + x^4*z0^2*z1^2 + x^2*y*z0^3*z1^2 + 2*x^3*z0^4 + 2*x^4*z0^2*z1 - x^2*y*z0^3*z1 + x^5*z1^2 + x^3*y*z0*z1^2 + x^4*z0^2 + x^5*z1 - 2*x^3*y*z0*z1 - 2*x^5 - 2*x^3*y*z0 + 2*x^2*z1^3)/y) * dx
-1 110 [0, 1] ((x^3*z0^5 + x*y*z0^6 + x^4*z0^3 + x^2*y*z0^4 + x^5*z0 + x^3*y*z0^2 + x^4*y)/y) * dx
-1 111 [0, 1] (x/y) * dx
-1 112 [0, 1] (x*z1/y) * dx
-1 113 [0, 1] (x*z1^2/y) * dx
-1 114 [0, 1] (x*z1^3/y) * dx
-1 115 [0, 1] (x*z1^4/y) * dx
-1 116 [0, 1] ((-x^2*z0^4 + x*z1^5 + 2*x^3*z0^2 - x^4)/y) * dx
-1 117 [0, 1] (x*z0/y) * dx
-1 118 [0, 1] (x*z0*z1/y) * dx
-1 119 [0, 1] (x*z0*z1^2/y) * dx
-1 120 [0, 1] (x*z0*z1^3/y) * dx
-1 121 [0, 1] ((-3*x^2*z0^5*z1 - 2*x^2*z0^5 + 2*x^3*z0^3*z1 + 2*x^3*z0^3 + 3*x^4*z0*z1 + 3*x^2*y*z0^2*z1 + x*z0*z1^4 - 3*x^4*z0 + 2*x^3*y*z1 + 3*x^3*y)/y) * dx
-1 122 [0, 1] (x*z0^2/y) * dx
-1 123 [0, 1] (x*z0^2*z1/y) * dx
-1 124 [0, 1] (x*z0^2*z1^2/y) * dx
-1 125 [0, 1] ((x*z0^2*z1^3 - x^2*z1^3)/y) * dx
-1 126 [0, 1] ((-x^2*z0^6*z1 - 3*x^2*z0^6 + x^3*z0^4*z1 + x^3*z0^4 + 3*x^4*z0^2*z1 + 2*x^2*y*z0^3*z1 + x*z0^2*z1^4 - 3*x^4*z0^2 - 2*x^5*z1 - 3*x^3*y*z0*z1 - x^2*z1^4 - x^5 - x^3*y*z0 - 2*x^2*z1^3)/y) * dx
-1 127 [0, 1] (x*z0^3/y) * dx
-1 128 [0, 1] (x*z0^3*z1/y) * dx
-1 129 [0, 1] ((x*z0^3*z1^2 - x^2*z0*z1^2)/y) * dx
-1 130 [0, 1] (x*z0^4/y) * dx
-1 131 [0, 1] ((x*z0^4*z1 - x^3*z1)/y) * dx
-1 132 [0, 1] ((x*z0^4*z1^2 - 2*x^2*z0^2*z1^2 + x^3*z1^2)/y) * dx
-1 133 [0, 1] ((x*z0^5 - x^3*z0)/y) * dx
-1 134 [0, 1] ((x*z0^5*z1 - 2*x^2*z0^3*z1 + x^3*z0*z1)/y) * dx
-1 135 [0, 1] ((x*z0^5*z1^2 - x^2*z0^3*z1^2 - 2*x^3*z0*z1^2 + 2*x^2*y*z1^2)/y) * dx
-1 136 [0, 1] ((x*z0^6 - 3*x^2*z0^4 + 3*x^3*z0^2 - x^4)/y) * dx
-1 137 [0, 1] ((x*z0^6*z1 - 3*x^2*z0^4*z1 - x^2*z0^4 + 3*x^3*z0^2*z1 + 2*x^3*z0^2 - x^4*z1 - x^4)/y) * dx
-1 138 [0, 1] ((x*z0^6*z1^2 + 2*x^2*z0^4*z1^2 + x^3*z0^2*z1^2 + 2*x^2*z0^4 - 2*x^4*z1^2 - 2*x^2*y*z0*z1^2 + 3*x^3*z0^2 + 2*x^4)/y) * dx
-1 139 [0, 1] ((-x^3*z0 + x^2*y)/y) * dx
-1 140 [0, 1] ((-3*x^2*z0^3*z1 + 2*x^3*z0*z1 + x^2*y*z1)/y) * dx
-1 141 [0, 1] ((x^2*z0^4 + x^3*z0^2 - 3*x^4 + x^2*y*z0)/y) * dx
-1 142 [0, 1] ((x^2*z0^4*z1 + 3*x^2*z0^4 + x^3*z0^2*z1 + x^3*z0^2 - 3*x^4*z1 + x^2*y*z0*z1 + 3*x^4)/y) * dx
-1 143 [0, 1] ((-x^2*z0^5 + 3*x^3*z0^3 + x^4*z0 + x^2*y*z0^2 + 3*x^3*y)/y) * dx
-1 144 [0, 1] ((3*x^2*z0^6 - 3*x^3*z0^4 - 2*x^4*z0^2 + x^2*y*z0^3 - x^5 + 2*x^3*y*z0)/y) * dx
-1 145 [0, 1] (x^2/y) * dx
-1 146 [0, 1] (x^2*z1/y) * dx
-1 147 [0, 1] (x^2*z1^2/y) * dx
-1 148 [0, 1] (x^2*z0/y) * dx
-1 149 [0, 1] (x^2*z0*z1/y) * dx
-1 150 [0, 1] (x^2*z0^2/y) * dx
-1 151 [0, 1] ((x^2*z0^2*z1 - x^3*z1)/y) * dx
-1 152 [0, 1] ((x^2*z0^3 - x^3*z0)/y) * dx
-1 153 [0, 1] (x^3/y) * dx
-True
-True
-True
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('tests.sage')[?7h[?12l[?25h[?25l[?7lini.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7ltess.sage')[?7h[?12l[?25h[?25l[?7lsage: load('tests.sage')

-[?7h[?12l[?25h[?2004lTrue
-True
-True
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7lS.fct_field[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lde_rham_basis(threshold = 20)[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('tests.sage')[?7h[?12l[?25h[?25l[?7lini.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7lS.fct_field[?7h[?12l[?25h[?25l[?7lsage: AS

-[?7h[?12l[?25h[?2004l[?7h(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field in a of size 2^2 with the equations:
-z0^2 - z0 = x^3
-z1^2 - z1 = a*x^3
-
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lgroup_action_matrices_dR(AS)[?7h[?12l[?25h[?25l[?7lsage: group_action_matrices_dR(AS)

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-NameError                                 Traceback (most recent call last)
-Input In [10], in <cell line: 1>()
-----> 1 group_action_matrices_dR(AS)
-
-File <string>:29, in group_action_matrices_dR(AS)
-
-NameError: name 'threshold' is not defined
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lgroup_action_matrices_dR(AS)[?7h[?12l[?25h[?25l[?7lAS[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lgroup_action_matrices_dR(AS)[?7h[?12l[?25h[?25l[?7lsage: group_action_matrices_dR(AS)

-[?7h[?12l[?25h[?2004lz1/x
-/ext/sage/9.7/src/sage/rings/polynomial/polynomial_singular_interface.py:372:
-********************************************************************************
-Denominators of fraction field elements are sometimes dropped without warning.
-This issue is being tracked at https://trac.sagemath.org/sage_trac/ticket/17696.
-********************************************************************************
-z0*z1/x
-z0*z1/x^2
-[?7h[
-[    1 a + 1     0     0     0     a]  [1 1 0 0 0 1]
-[    0     1     0     0     0     0]  [0 1 0 0 0 0]
-[    0     0     1     0     a     0]  [0 0 1 0 1 0]
-[    0     0     0     1     1     0]  [0 0 0 1 a 0]
-[    0     0     0     0     1     0]  [0 0 0 0 1 0]
-[    0     0     0     0     0     1], [0 0 0 0 0 1]
-]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lgroup_action_matrices_dR(AS)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAgroup_action_matrices_dR(AS)[?7h[?12l[?25h[?25l[?7l,group_action_matrices_dR(AS)[?7h[?12l[?25h[?25l[?7l group_action_matrices_dR(AS)[?7h[?12l[?25h[?25l[?7lBgroup_action_matrices_dR(AS)[?7h[?12l[?25h[?25l[?7l group_action_matrices_dR(AS)[?7h[?12l[?25h[?25l[?7l=group_action_matrices_dR(AS)[?7h[?12l[?25h[?25l[?7l group_action_matrices_dR(AS)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: A, B = group_action_matrices_dR(AS)

-[?7h[?12l[?25h[?2004lz1/x
-z0*z1/x
-z0*z1/x^2
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lparent(f)[?7h[?12l[?25h[?25l[?7lsage: p

-[?7h[?12l[?25h[?2004l[?7h2
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA, B = group_action_matrices_dR(AS)[?7h[?12l[?25h[?25l[?7l^[?7h[?12l[?25h[?25l[?7l2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lin[?7h[?12l[?25h[?25l[?7lind[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lin[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lgroup_action_matrices_dR(AS)[?7h[?12l[?25h[?25l[?7l = x + y^2[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lg[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: g = AS.genus()

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lg = AS.genus()[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7lg = AS.genus()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA, B = group_action_matrices_dR(AS)[?7h[?12l[?25h[?25l[?7l = matrix(GF(3), 3, 3)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l^[?7h[?12l[?25h[?25l[?7l2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lin[?7h[?12l[?25h[?25l[?7lind[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7ly[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lin[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lid[?7h[?12l[?25h[?25l[?7lide[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7ly[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lG[?7h[?12l[?25h[?25l[?7lF[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lG[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lF[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l6[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: A^2 == identity_matrix(F, 6)

-[?7h[?12l[?25h[?2004l[?7hTrue
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA^2 == identity_matrix(F, 6)[?7h[?12l[?25h[?25l[?7l*[?7h[?12l[?25h[?25l[?7lB[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lB[?7h[?12l[?25h[?25l[?7l&[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l*[?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7lsage: A*B == B*A

-[?7h[?12l[?25h[?2004l[?7hTrue
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA*B == B*A[?7h[?12l[?25h[?25l[?7l^2identity_matrix(F, 6)[?7h[?12l[?25h[?25l[?7lg =AS.genus()[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA, B = group_action_matrices_dR(AS)[?7h[?12l[?25h[?25l[?7lgroup_actionmarices_dR(AS)[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lgroup_action_matrices_dR(AS)[?7h[?12l[?25h[?25l[?7lA, B = groupacion_matrices_dR(AS)[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7lg = AS.genus()[?7h[?12l[?25h[?25l[?7lA^2== identity_matrix(F, 6)[?7h[?12l[?25h[?25l[?7l*BB*A[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA*B == B*A[?7h[?12l[?25h[?25l[?7l^2identity_matrix(F, 6)[?7h[?12l[?25h[?25l[?7lg =AS.genus()[?7h[?12l[?25h[?25l[?7lA^2== identity_matrix(F, 6)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l^2 = identity_matrix(F, 6)[?7h[?12l[?25h[?25l[?7lB^2 = identity_matrix(F, 6)[?7h[?12l[?25h[?25l[?7lsage: B^2 == identity_matrix(F, 6)

-[?7h[?12l[?25h[?2004l[?7hTrue
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lmatrix(GF(3), 3, 3)[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lgmathisA, B)[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7lathis(A, B)[?7h[?12l[?25h[?25l[?7lsage: magmathis(A, B)

-[?7h[?12l[?25h[?2004l>> A := MatrixAlgebra<GF(4),6|[1, a + 1, 0, 0, 0, a, 0, 1, 0, 0, 0, 0, 0, 0, 1
-                                  ^
-User error: Identifier 'a' has not been declared or assigned
->> , 0, 1, 0, 0, 0, 0, 0, 0, 1]>;M := RModule(RSpace(GF(4),6), A);Indecomposab
-                                                               ^
-User error: Identifier 'A' has not been declared or assigned
->> ,6), A);IndecomposableSummands(M);
-                                  ^
-User error: Identifier 'M' has not been declared or assigned
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lFF = GF(4, 'a')[?7h[?12l[?25h[?25l[?7lsage: F

-[?7h[?12l[?25h[?2004l[?7hFinite Field in a of size 2^2
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lF[?7h[?12l[?25h[?25l[?7lmagmathis(A, B)[?7h[?12l[?25h[?25l[?7lB^2 == dentity_matrix(F, 6)[?7h[?12l[?25h[?25l[?7lmagmaths(A, B)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l,)[?7h[?12l[?25h[?25l[?7l )[?7h[?12l[?25h[?25l[?7lt)[?7h[?12l[?25h[?25l[?7le)[?7h[?12l[?25h[?25l[?7lx)[?7h[?12l[?25h[?25l[?7lt)[?7h[?12l[?25h[?25l[?7l=)[?7h[?12l[?25h[?25l[?7lT)[?7h[?12l[?25h[?25l[?7lr)[?7h[?12l[?25h[?25l[?7lu)[?7h[?12l[?25h[?25l[?7lTrue)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7lsage: magmathis(A, B, text=True)

-[?7h[?12l[?25h[?2004l[?7h'A := MatrixAlgebra<GF(4),6|[1, a + 1, 0, 0, 0, a, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, a, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1],[1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, a, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1]>;M := RModule(RSpace(GF(4),6), A);IndecomposableSummands(M);'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lmagmathis(A, B, text=True)[?7h[?12l[?25h[?25l[?7lF[?7h[?12l[?25h[?25l[?7lmagmathis(A, B)[?7h[?12l[?25h[?25l[?7lB^2 == dentity_matrix(F, 6)[?7h[?12l[?25h[?25l[?7lA*BB*A[?7h[?12l[?25h[?25l[?7l^2identity_matrix(F, 6)[?7h[?12l[?25h[?25l[?7lg =AS.genus()[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7lA, B = group_action_matrices_dR(AS)[?7h[?12l[?25h[?25l[?7lgroup_actionmarices_dR(AS)[?7h[?12l[?25h[?25l[?7lA, B = groupacion_matrices_dR(AS)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(AS)[?7h[?12l[?25h[?25l[?7l(AS)[?7h[?12l[?25h[?25l[?7lh(AS)[?7h[?12l[?25h[?25l[?7lo(AS)[?7h[?12l[?25h[?25l[?7ll(AS)[?7h[?12l[?25h[?25l[?7lo(AS)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: A, B = group_action_matrices_holo(AS)

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA, B = group_action_matrices_holo(AS)[?7h[?12l[?25h[?25l[?7lmagmathis(A, B, text=True)[?7h[?12l[?25h[?25l[?7lsage: magmathis(A, B, text=True)

-[?7h[?12l[?25h[?2004l[?7h'A := MatrixAlgebra<GF(4),3|[1, a + 1, 0, 0, 1, 0, 0, 0, 1],[1, 1, 0, 0, 1, 0, 0, 0, 1]>;M := RModule(RSpace(GF(4),3), A);IndecomposableSummands(M);'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lmagmathis(A, B, text=True)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [24], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:69, in coordinates(self, threshold, basis)
-
-File <string>:84, in coordinates(self, basis)
-
-File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
-    895 if mor is not None:
-    896     if no_extra_args:
---> 897         return mor._call_(x)
-    898     else:
-    899         return mor._call_with_args(x, args, kwds)
-
-File /ext/sage/9.7/src/sage/categories/map.pyx:788, in sage.categories.map.Map._call_()
-    786     return self._call_with_args(x, args, kwds)
-    787 
---> 788 cpdef Element _call_(self, x):
-    789     """
-    790     Call method with a single argument, not implemented in the base class.
-
-File /ext/sage/9.7/src/sage/rings/fraction_field.py:1254, in FractionFieldEmbeddingSection._call_(self, x, check)
-   1249     return num
-   1250 if check and not den.is_unit():
-   1251     # This should probably be a ValueError.
-   1252     # However, too much existing code is expecting this to throw a
-   1253     # TypeError, so we decided to keep it for the time being.
--> 1254     raise TypeError("fraction must have unit denominator")
-   1255 return num * den.inverse_of_unit()
-
-TypeError: fraction must have unit denominator
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-(1) * dx
-(z1) * dx
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx
-(z0 + 1) * dx
-(z0*z1 + z1) * dx
-(z0^2 - z0 + 1) * dx
-(x) * dx
-(-x*z0^2 + x*z0 + x*z1 - x) * dx
-(x*z0 + x) * dx
-(x^2) * dx
-(0) * dx
-(0) * dx
-(x^2) * dx
-(x^2 - z0*z1 + z1) * dx
-(x^2) * dx
-(x^2*z0 + z0^2*z1 + z1^2) * dx
-(x*z0 - x) * dx
-(x*z0^2 - x*z1) * dx
-(x*z0^2 - x*z0 - x*z1 + x) * dx
-((x^4 - x^2*z0*z1 + x^2*z1 + z1^2 + z1)/x^2) * dx
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [25], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:70, in coordinates(self, threshold, basis)
-
-File <string>:84, in coordinates(self, basis)
-
-File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
-    895 if mor is not None:
-    896     if no_extra_args:
---> 897         return mor._call_(x)
-    898     else:
-    899         return mor._call_with_args(x, args, kwds)
-
-File /ext/sage/9.7/src/sage/categories/map.pyx:788, in sage.categories.map.Map._call_()
-    786     return self._call_with_args(x, args, kwds)
-    787 
---> 788 cpdef Element _call_(self, x):
-    789     """
-    790     Call method with a single argument, not implemented in the base class.
-
-File /ext/sage/9.7/src/sage/rings/fraction_field.py:1254, in FractionFieldEmbeddingSection._call_(self, x, check)
-   1249     return num
-   1250 if check and not den.is_unit():
-   1251     # This should probably be a ValueError.
-   1252     # However, too much existing code is expecting this to throw a
-   1253     # TypeError, so we decided to keep it for the time being.
--> 1254     raise TypeError("fraction must have unit denominator")
-   1255 return num * den.inverse_of_unit()
-
-TypeError: fraction must have unit denominator
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA, B = group_action_matrices_holo(AS)[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.fct_field[?7h[?12l[?25h[?25l[?7lholomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7lomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lsage: AS.holomorphic_differentials_basis()

-[?7h[?12l[?25h[?2004l[?7h[(1) * dx,
- (z1) * dx,
- (x^2*z0 + z0^2*z1 + z1^2) * dx,
- (z0) * dx,
- (z0*z1) * dx,
- (z0^2) * dx,
- (x) * dx,
- (-x*z0^2 + x*z1) * dx,
- (x*z0) * dx,
- (x^2) * dx]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7la = f.parent().base_ring().gens()[0][?7h[?12l[?25h[?25l[?7las_reductionAS, AAA)[?7h[?12l[?25h[?25l[?7las_[?7h[?12l[?25h[?25l[?7lreduction(AS, AAA)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7las[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lq[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: quit()

-[?7h[?12l[?25h[?2004l
-]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ cd ..
-]0;~/Research/2021 De Rham/DeRhamComputation~/Research/2021 De Rham/DeRhamComputation$ git status
-On branch master
-Your branch is up to date with 'origin/master'.
-
-Changes not staged for commit:
-  (use "git add <file>..." to update what will be committed)
-  (use "git restore <file>..." to discard changes in working directory)
-	modified:   sage/.run.term-0.term
-	modified:   sage/as_covers/as_cech_class.sage
-	modified:   sage/as_covers/as_cover_class.sage
-	modified:   sage/as_covers/as_form_class.sage
-	modified:   sage/as_covers/group_action_matrices.sage
-	modified:   sage/as_covers/tests/group_action_matrices_test.sage
-	modified:   sage/init.sage
-	modified:   sage/tests.sage
-
-Untracked files:
-  (use "git add <file>..." to include in what will be committed)
-	.crystalline_p2.ipynb.sage-jupyter2
-	.deRhamComputation.ipynb.sage-jupyter2
-	.elementary_covers_of_superelliptic_curves.ipynb.sage-jupyter2
-	.git.x11-0.term
-	.superelliptic.ipynb.sage-jupyter2
-	.superelliptic_alpha.ipynb.sage-jupyter2
-	.superelliptic_arbitrary_field.ipynb.sage-jupyter2
-	git.x11
-	sage/as_covers/as_reduction.sage
-	sage/drafty/better_trace.sage
-	sage/drafty/draft4.sage
-	sage/drafty/draft5.sage
-	sage/drafty/draft6.sage
-	sage/drafty/draft8.sage
-	sage/drafty/lift_to_de_rham.sage
-	sage/drafty/pole_numbers.sage
-	superelliptic_arbitrary_field.ipynb
-
-no changes added to commit (use "git add" and/or "git commit -a")
-]0;~/Research/2021 De Rham/DeRhamComputation~/Research/2021 De Rham/DeRhamComputation$ git add sage/as_covers/as_reduction.sage 
-]0;~/Research/2021 De Rham/DeRhamComputation~/Research/2021 De Rham/DeRhamComputation$ git add -u
-]0;~/Research/2021 De Rham/DeRhamComputation~/Research/2021 De Rham/DeRhamComputation$ git commit -m ""a"s" "r"e"d"u"c"t"i"o"n" "("s"r"a"""t"a"r"e")" "p"l"u"s" "m"a"c"i"e"r"z" "d"z"i"a"l"a"n"i"a" "n"a" "b"a"z"i"e" "d"R" "p"r"a"w"i"e" "d"z"i"a"l"a"
-[master 6494187] as reduction (stare) plus macierz dzialania na bazie dR prawie dziala
- 9 files changed, 1155 insertions(+), 14959 deletions(-)
- rewrite sage/.run.term-0.term (97%)
- create mode 100644 sage/as_covers/as_reduction.sage
-]0;~/Research/2021 De Rham/DeRhamComputation~/Research/2021 De Rham/DeRhamComputation$ ]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ git commit -m "as reduction (stare) plus macierz dzialania na bazie dR prawie dziala"
add -ucommit -m "as reduction (stare) plus macierz dzialania na bazie dR prawie dziala"
sage
-┌────────────────────────────────────────────────────────────────────┐
-│ SageMath version 9.7, Release Date: 2022-09-19                     │
-│ Using Python 3.10.5. Type "help()" for help.                       │
-└────────────────────────────────────────────────────────────────────┘
-]0;IPython: DeRhamComputation/sage[?2004h[?1l[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-(1) * dx
-(1) * dx
-(z1) * dx
-(z1) * dx
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx
-(z0 + 1) * dx
-(z0 + 1) * dx
-(z0*z1 + z1) * dx
-(z0*z1 + z1) * dx
-(z0^2 - z0 + 1) * dx
-(z0^2 - z0 + 1) * dx
-(x) * dx
-(x) * dx
-(-x*z0^2 + x*z0 + x*z1 - x) * dx
-(-x*z0^2 + x*z0 + x*z1 - x) * dx
-(x*z0 + x) * dx
-(x*z0 + x) * dx
-(x^2) * dx
-(x^2) * dx
-(0) * dx
-(0) * dx
-(0) * dx
-(0) * dx
-(x^2) * dx
-(x^2) * dx
-(x^2 - z0*z1 + z1) * dx
-(x^2 - z0*z1 + z1) * dx
-(x^2) * dx
-(x^2) * dx
-(x^2*z0 + z0^2*z1 + z1^2) * dx
-(x^2*z0 + z0^2*z1 + z1^2) * dx
-(x*z0 - x) * dx
-(x*z0 - x) * dx
-(x*z0^2 - x*z1) * dx
-(x*z0^2 - x*z1) * dx
-(x*z0^2 - x*z0 - x*z1 + x) * dx
-(x*z0^2 - x*z0 - x*z1 + x) * dx
-((x^4 - x^2*z0*z1 + x^2*z1 + z1^2 + z1)/x^2) * dx
-((x^4 - x^2*z0*z1 + x^2*z1 + z1^2 + z1)/x^2) * dx
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [1], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:71, in coordinates(self, threshold, basis)
-
-File <string>:84, in coordinates(self, basis)
-
-File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
-    895 if mor is not None:
-    896     if no_extra_args:
---> 897         return mor._call_(x)
-    898     else:
-    899         return mor._call_with_args(x, args, kwds)
-
-File /ext/sage/9.7/src/sage/categories/map.pyx:788, in sage.categories.map.Map._call_()
-    786     return self._call_with_args(x, args, kwds)
-    787 
---> 788 cpdef Element _call_(self, x):
-    789     """
-    790     Call method with a single argument, not implemented in the base class.
-
-File /ext/sage/9.7/src/sage/rings/fraction_field.py:1254, in FractionFieldEmbeddingSection._call_(self, x, check)
-   1249     return num
-   1250 if check and not den.is_unit():
-   1251     # This should probably be a ValueError.
-   1252     # However, too much existing code is expecting this to throw a
-   1253     # TypeError, so we decided to keep it for the time being.
--> 1254     raise TypeError("fraction must have unit denominator")
-   1255 return num * den.inverse_of_unit()
-
-TypeError: fraction must have unit denominator
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7lsage: AS

-[?7h[?12l[?25h[?2004l[?7h(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lh[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7lomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lsage: AS.holomorphic_differentials_basis()

-[?7h[?12l[?25h[?2004l[?7h[(1) * dx,
- (z1) * dx,
- (x^2*z0 + z0^2*z1 + z1^2) * dx,
- (z0) * dx,
- (z0*z1) * dx,
- (z0^2) * dx,
- (x) * dx,
- (-x*z0^2 + x*z1) * dx,
- (x*z0) * dx,
- (x^2) * dx]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ sage
-┌────────────────────────────────────────────────────────────────────┐
-│ SageMath version 9.7, Release Date: 2022-09-19                     │
-│ Using Python 3.10.5. Type "help()" for help.                       │
-└────────────────────────────────────────────────────────────────────┘
-]0;IPython: DeRhamComputation/sage[?2004h[?1l[?25l[?7lsage: [?7h[?12l[?25h[?7h[?2004lWARNING: your terminal doesn't support cursor position requests (CPR).

-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-(1) * dx
-(1) * dx
-(z1) * dx
-(z1) * dx
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx
-(z0 + 1) * dx
-(z0 + 1) * dx
-(z0*z1 + z1) * dx
-(z0*z1 + z1) * dx
-(z0^2 - z0 + 1) * dx
-(z0^2 - z0 + 1) * dx
-(x) * dx
-(x) * dx
-(-x*z0^2 + x*z0 + x*z1 - x) * dx
-(-x*z0^2 + x*z0 + x*z1 - x) * dx
-(x*z0 + x) * dx
-(x*z0 + x) * dx
-(x^2) * dx
-(x^2) * dx
-(0) * dx
-(0) * dx
-(0) * dx
-(0) * dx
-(x^2) * dx
-(x^2) * dx
-(x^2 - z0*z1 + z1) * dx
-(x^2 - z0*z1 + z1) * dx
-(x^2) * dx
-(x^2) * dx
-(x^2*z0 + z0^2*z1 + z1^2) * dx
-(x^2*z0 + z0^2*z1 + z1^2) * dx
-(x*z0 - x) * dx
-(x*z0 - x) * dx
-(x*z0^2 - x*z1) * dx
-(x*z0^2 - x*z1) * dx
-(x*z0^2 - x*z0 - x*z1 + x) * dx
-(x*z0^2 - x*z0 - x*z1 + x) * dx
-((x^4 - x^2*z0*z1 + x^2*z1 + z1^2 + z1)/x^2) * dx
-((x^4 - x^2*z0*z1 + x^2*z1 + z1^2 + z1)/x^2) * dx
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [1], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:71, in coordinates(self, threshold, basis)
-
-File <string>:84, in coordinates(self, basis)
-
-File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
-    895 if mor is not None:
-    896     if no_extra_args:
---> 897         return mor._call_(x)
-    898     else:
-    899         return mor._call_with_args(x, args, kwds)
-
-File /ext/sage/9.7/src/sage/categories/map.pyx:788, in sage.categories.map.Map._call_()
-    786     return self._call_with_args(x, args, kwds)
-    787 
---> 788 cpdef Element _call_(self, x):
-    789     """
-    790     Call method with a single argument, not implemented in the base class.
-
-File /ext/sage/9.7/src/sage/rings/fraction_field.py:1254, in FractionFieldEmbeddingSection._call_(self, x, check)
-   1249     return num
-   1250 if check and not den.is_unit():
-   1251     # This should probably be a ValueError.
-   1252     # However, too much existing code is expecting this to throw a
-   1253     # TypeError, so we decided to keep it for the time being.
--> 1254     raise TypeError("fraction must have unit denominator")
-   1255 return num * den.inverse_of_unit()
-
-TypeError: fraction must have unit denominator
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lmagmathis(A, B, text=True)[?7h[?12l[?25h[?25l[?7l()l[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lT[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-(1) * dx
-(1) * dx
-(z1) * dx
-(z1) * dx
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx
-(z0 + 1) * dx
-(z0 + 1) * dx
-(z0*z1 + z1) * dx
-(z0*z1 + z1) * dx
-(z0^2 - z0 + 1) * dx
-(z0^2 - z0 + 1) * dx
-(x) * dx
-(x) * dx
-(-x*z0^2 + x*z0 + x*z1 - x) * dx
-(-x*z0^2 + x*z0 + x*z1 - x) * dx
-(x*z0 + x) * dx
-(x*z0 + x) * dx
-(x^2) * dx
-(x^2) * dx
-(0) * dx
-(0) * dx
-(0) * dx
-(0) * dx
-(x^2) * dx
-(x^2) * dx
-(x^2 - z0*z1 + z1) * dx
-(x^2 - z0*z1 + z1) * dx
-(x^2) * dx
-(x^2) * dx
-(x^2*z0 + z0^2*z1 + z1^2) * dx
-(x^2*z0 + z0^2*z1 + z1^2) * dx
-(x*z0 - x) * dx
-(x*z0 - x) * dx
-(x*z0^2 - x*z1) * dx
-(x*z0^2 - x*z1) * dx
-(x*z0^2 - x*z0 - x*z1 + x) * dx
-(x*z0^2 - x*z0 - x*z1 + x) * dx
-((x^4 - x^2*z0*z1 + x^2*z1 + z1^2 + z1)/x^2) * dx
-((x^4 - x^2*z0*z1 + x^2*z1 + z1^2 + z1)/x^2) * dx
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [2], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:71, in coordinates(self, threshold, basis)
-
-File <string>:84, in coordinates(self, basis)
-
-File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
-    895 if mor is not None:
-    896     if no_extra_args:
---> 897         return mor._call_(x)
-    898     else:
-    899         return mor._call_with_args(x, args, kwds)
-
-File /ext/sage/9.7/src/sage/categories/map.pyx:788, in sage.categories.map.Map._call_()
-    786     return self._call_with_args(x, args, kwds)
-    787 
---> 788 cpdef Element _call_(self, x):
-    789     """
-    790     Call method with a single argument, not implemented in the base class.
-
-File /ext/sage/9.7/src/sage/rings/fraction_field.py:1254, in FractionFieldEmbeddingSection._call_(self, x, check)
-   1249     return num
-   1250 if check and not den.is_unit():
-   1251     # This should probably be a ValueError.
-   1252     # However, too much existing code is expecting this to throw a
-   1253     # TypeError, so we decided to keep it for the time being.
--> 1254     raise TypeError("fraction must have unit denominator")
-   1255 return num * den.inverse_of_unit()
-
-TypeError: fraction must have unit denominator
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7lsage: AS.x

-[?7h[?12l[?25h[?2004l[?7hx
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.x[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7ly[?7h[?12l[?25h[?25l[?7lsage: AS.y

-[?7h[?12l[?25h[?2004l[?7hy
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.y[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lz[?7h[?12l[?25h[?25l[?7lsage: AS.z

-[?7h[?12l[?25h[?2004l[?7h[z0, z1]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.z[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lz[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-(1) * dx
-(1) * dx
-(z1) * dx
-(z1) * dx
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx
-(z0 + 1) * dx
-(z0 + 1) * dx
-(z0*z1 + z1) * dx
-(z0*z1 + z1) * dx
-(z0^2 - z0 + 1) * dx
-(z0^2 - z0 + 1) * dx
-(x) * dx
-(x) * dx
-(-x*z0^2 + x*z0 + x*z1 - x) * dx
-(-x*z0^2 + x*z0 + x*z1 - x) * dx
-(x*z0 + x) * dx
-(x*z0 + x) * dx
-(x^2) * dx
-(x^2) * dx
-(0) * dx
-(0) * dx
-(0) * dx
-(0) * dx
-(x^2) * dx
-(x^2) * dx
-(x^2 - z0*z1 + z1) * dx
-(x^2 - z0*z1 + z1) * dx
-(x^2) * dx
-(x^2) * dx
-(x^2*z0 + z0^2*z1 + z1^2) * dx
-(x^2*z0 + z0^2*z1 + z1^2) * dx
-(x*z0 - x) * dx
-(x*z0 - x) * dx
-(x*z0^2 - x*z1) * dx
-(x*z0^2 - x*z1) * dx
-(x*z0^2 - x*z0 - x*z1 + x) * dx
-(x*z0^2 - x*z0 - x*z1 + x) * dx
-((x^4 - x^2*z0*z1 + x^2*z1 + z1^2 + z1)/x^2) * dx
-((x^4 - x^2*z0*z1 + x^2*z1 + z1^2 + z1)/x^2) * dx
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [6], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:71, in coordinates(self, threshold, basis)
-
-File <string>:84, in coordinates(self, basis)
-
-File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
-    895 if mor is not None:
-    896     if no_extra_args:
---> 897         return mor._call_(x)
-    898     else:
-    899         return mor._call_with_args(x, args, kwds)
-
-File /ext/sage/9.7/src/sage/categories/map.pyx:788, in sage.categories.map.Map._call_()
-    786     return self._call_with_args(x, args, kwds)
-    787 
---> 788 cpdef Element _call_(self, x):
-    789     """
-    790     Call method with a single argument, not implemented in the base class.
-
-File /ext/sage/9.7/src/sage/rings/fraction_field.py:1254, in FractionFieldEmbeddingSection._call_(self, x, check)
-   1249     return num
-   1250 if check and not den.is_unit():
-   1251     # This should probably be a ValueError.
-   1252     # However, too much existing code is expecting this to throw a
-   1253     # TypeError, so we decided to keep it for the time being.
--> 1254     raise TypeError("fraction must have unit denominator")
-   1255 return num * den.inverse_of_unit()
-
-TypeError: fraction must have unit denominator
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lzmag = AS.magical_element(threshold = 18)[0][?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[]^[?7h[?12l[?25h[?25l[?7l2[?7h[?12l[?25h[?25l[?7l/[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.z[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lz[?7h[?12l[?25h[?25l[?7l[1][?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[]^[?7h[?12l[?25h[?25l[?7l2[?7h[?12l[?25h[?25l[?7l/[?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7lX[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l.x[?7h[?12l[?25h[?25l[?7lS.x[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l*[?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7lsage: AS.z[1]^2/AS.x*AS.dx

-[?7h[?12l[?25h[?2004l[?7h(z1^2/x) * dx
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.z[1]^2/AS.x*AS.dx[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(AS.z[1]^2/AS.x*AS.dx)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l().[?7h[?12l[?25h[?25l[?7lv[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l*[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: (AS.z[1]^2/AS.x*AS.dx).valuation()

-[?7h[?12l[?25h[?2004l[?7h3
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(AS.z[1]^2/AS.x*AS.dx).valuation()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lAS.z[1]^2/AS.x*AS.dx[?7h[?12l[?25h[?25l[?7l(AS.z[1]^2/AS.x*AS.dx).valuation()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7l('init.sage')[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-0
-(1) * dx
-(1) * dx
-0
-(z1) * dx
-(z1) * dx
-0
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx
-0
-(z0 + 1) * dx
-(z0 + 1) * dx
-0
-(z0*z1 + z1) * dx
-(z0*z1 + z1) * dx
-0
-(z0^2 - z0 + 1) * dx
-(z0^2 - z0 + 1) * dx
-0
-(x) * dx
-(x) * dx
-0
-(-x*z0^2 + x*z0 + x*z1 - x) * dx
-(-x*z0^2 + x*z0 + x*z1 - x) * dx
-0
-(x*z0 + x) * dx
-(x*z0 + x) * dx
-0
-(x^2) * dx
-(x^2) * dx
-0
-(0) * dx
-(0) * dx
-0
-(0) * dx
-(0) * dx
-0
-(x^2) * dx
-(x^2) * dx
-0
-(x^2 - z0*z1 + z1) * dx
-(x^2 - z0*z1 + z1) * dx
-0
-(x^2) * dx
-(x^2) * dx
-0
-(x^2*z0 + z0^2*z1 + z1^2) * dx
-(x^2*z0 + z0^2*z1 + z1^2) * dx
-0
-(x*z0 - x) * dx
-(x*z0 - x) * dx
-0
-(x*z0^2 - x*z1) * dx
-(x*z0^2 - x*z1) * dx
-0
-(x*z0^2 - x*z0 - x*z1 + x) * dx
-(x*z0^2 - x*z0 - x*z1 + x) * dx
-(x^2*z1 - z0*z1^2 + z1^2)/x^3
-((x^4 - x^2*z0*z1 + x^2*z1 + z1^2 + z1)/x^2) * dx
-((x^4 - x^2*z0*z1 + x^2*z1 + z1^2 + z1)/x^2) * dx
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [9], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:71, in coordinates(self, threshold, basis)
-
-File <string>:84, in coordinates(self, basis)
-
-File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
-    895 if mor is not None:
-    896     if no_extra_args:
---> 897         return mor._call_(x)
-    898     else:
-    899         return mor._call_with_args(x, args, kwds)
-
-File /ext/sage/9.7/src/sage/categories/map.pyx:788, in sage.categories.map.Map._call_()
-    786     return self._call_with_args(x, args, kwds)
-    787 
---> 788 cpdef Element _call_(self, x):
-    789     """
-    790     Call method with a single argument, not implemented in the base class.
-
-File /ext/sage/9.7/src/sage/rings/fraction_field.py:1254, in FractionFieldEmbeddingSection._call_(self, x, check)
-   1249     return num
-   1250 if check and not den.is_unit():
-   1251     # This should probably be a ValueError.
-   1252     # However, too much existing code is expecting this to throw a
-   1253     # TypeError, so we decided to keep it for the time being.
--> 1254     raise TypeError("fraction must have unit denominator")
-   1255 return num * den.inverse_of_unit()
-
-TypeError: fraction must have unit denominator
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7l(AS.z[1]^2/AS.x*AS.dx).valuation()[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-0
----------------------------------------------------------------------------
-AttributeError                            Traceback (most recent call last)
-Input In [10], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:68, in coordinates(self, threshold, basis)
-
-File /ext/sage/9.7/src/sage/misc/functional.py:1388, in numerator(x)
-   1386 if isinstance(x, int):
-   1387     return x
--> 1388 return x.numerator()
-
-AttributeError: 'as_function' object has no attribute 'numerator'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-(x^2*z1 - z0*z1^2 + z1^2)/x^3
-(x^2*z1 - z0*z1^2)/x^3
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [11], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:77, in coordinates(self, threshold, basis)
-
-File <string>:84, in coordinates(self, basis)
-
-File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
-    895 if mor is not None:
-    896     if no_extra_args:
---> 897         return mor._call_(x)
-    898     else:
-    899         return mor._call_with_args(x, args, kwds)
-
-File /ext/sage/9.7/src/sage/categories/map.pyx:788, in sage.categories.map.Map._call_()
-    786     return self._call_with_args(x, args, kwds)
-    787 
---> 788 cpdef Element _call_(self, x):
-    789     """
-    790     Call method with a single argument, not implemented in the base class.
-
-File /ext/sage/9.7/src/sage/rings/fraction_field.py:1254, in FractionFieldEmbeddingSection._call_(self, x, check)
-   1249     return num
-   1250 if check and not den.is_unit():
-   1251     # This should probably be a ValueError.
-   1252     # However, too much existing code is expecting this to throw a
-   1253     # TypeError, so we decided to keep it for the time being.
--> 1254     raise TypeError("fraction must have unit denominator")
-   1255 return num * den.inverse_of_unit()
-
-TypeError: fraction must have unit denominator
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(x^2*z1 - z0*z1^2)/x^3[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lAx^2*z1 - z0*z1^2)/x^3[?7h[?12l[?25h[?25l[?7lSx^2*z1 - z0*z1^2)/x^3[?7h[?12l[?25h[?25l[?7l.x^2*z1 - z0*z1^2)/x^3[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAz1 - z0*z1^2)/x^3[?7h[?12l[?25h[?25l[?7lSz1 - z0*z1^2)/x^3[?7h[?12l[?25h[?25l[?7l.z1 - z0*z1^2)/x^3[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[1 - z0*z1^2)/x^3[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[] - z0*z1^2)/x^3[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAz0*z1^2)/x^3[?7h[?12l[?25h[?25l[?7lSz0*z1^2)/x^3[?7h[?12l[?25h[?25l[?7l.z0*z1^2)/x^3[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[0*z1^2)/x^3[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[]*z1^2)/x^3[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7lAz1^2)/x^3[?7h[?12l[?25h[?25l[?7lSz1^2)/x^3[?7h[?12l[?25h[?25l[?7l.z1^2)/x^3[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[1^2)/x^3[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[]^2)/x^3[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lAx^3[?7h[?12l[?25h[?25l[?7lSx^3[?7h[?12l[?25h[?25l[?7l.x^3[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l)^3[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(AS.x)^3[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: (AS.x^2*AS.z[1] - AS.z[0]*AS.z[1]^2)/(AS.x)^3

-[?7h[?12l[?25h[?2004l[?7h(x^2*z1 - z0*z1^2)/x^3
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(AS.x^2*AS.z[1] - AS.z[0]*AS.z[1]^2)/(AS.x)^3[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l((AS.x^2*AS.z[1] - AS.z[0]*AS.z[1]^2)/(AS.x)^3)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l().[?7h[?12l[?25h[?25l[?7lv[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: ((AS.x^2*AS.z[1] - AS.z[0]*AS.z[1]^2)/(AS.x)^3).valuation()

-[?7h[?12l[?25h[?2004l[?7h1
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lR.<x1,x2,y1,y2> = QQ[][?7h[?12l[?25h[?25l[?7lxy[?7h[?12l[?25h[?25l[?7ly[?7h[?12l[?25h[?25l[?7lsage: Rxy

-[?7h[?12l[?25h[?2004l[?7hMultivariate Polynomial Ring in x, y over Finite Field of size 3
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7l = Rxy(x^2 + y^3)[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7lRxy(x^2 + y^3)[?7h[?12l[?25h[?25l[?7lsage: f = Rxy(x^2 + y^3)

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lg = AS.genus()[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7lR[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7ly[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l^[?7h[?12l[?25h[?25l[?7l5[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l6[?7h[?12l[?25h[?25l[?7lx6[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l+[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l*[?7h[?12l[?25h[?25l[?7ly[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: g = Rxy(x^5 + x*y)

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lg = Rxy(x^5 + x*y)[?7h[?12l[?25h[?25l[?7l.parent()[?7h[?12l[?25h[?25l[?7lq[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: g.quo_rem(f)

-[?7h[?12l[?25h[?2004l[?7h(0, x^5 + x*y)
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lx^2*z1 - z0*z1^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[1 - z0*z1^2[?7h[?12l[?25h[?25l[?7l[] - z0*z1^2[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[0*z1^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[]*z1^2[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[1^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[]^2[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: x^2*z[1] - z[0]*z[1]^2

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-NameError                                 Traceback (most recent call last)
-Input In [18], in <cell line: 1>()
-----> 1 x**Integer(2)*z[Integer(1)] - z[Integer(0)]*z[Integer(1)]**Integer(2)
-
-NameError: name 'z' is not defined
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lRxy[?7h[?12l[?25h[?25l[?7l.<x1,x2,y1,y2> = QQ[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lxy[?7h[?12l[?25h[?25l[?7ly[?7h[?12l[?25h[?25l[?7lzQ, Rxyz, x, y, z = AS.fct_field[?7h[?12l[?25h[?25l[?7l.<>[?7h[?12l[?25h[?25l[?7lx>[?7h[?12l[?25h[?25l[?7l,>[?7h[?12l[?25h[?25l[?7l >[?7h[?12l[?25h[?25l[?7ly>[?7h[?12l[?25h[?25l[?7l,>[?7h[?12l[?25h[?25l[?7l >[?7h[?12l[?25h[?25l[?7lz>[?7h[?12l[?25h[?25l[?7l0>[?7h[?12l[?25h[?25l[?7l,>[?7h[?12l[?25h[?25l[?7l >[?7h[?12l[?25h[?25l[?7lz>[?7h[?12l[?25h[?25l[?7l1>[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lP[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7ly[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7lR[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lg[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lG[?7h[?12l[?25h[?25l[?7lF[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l3[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(),[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l4[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: Rxyz.<x, y, z0, z1> = PolynomialRing(GF(3), 4)

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lx^2*z[1] - z[0]*z[1]^2[?7h[?12l[?25h[?25l[?7l, y = Rxyz.gens()[:2][?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7ly[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lz[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lz[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lR[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7ly[?7h[?12l[?25h[?25l[?7lz[?7h[?12l[?25h[?25l[?7l.g[?7h[?12l[?25h[?25l[?7lens[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: x, y, z0, z1 = Rxyz.gens()

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lx, y, z0, z1 = Rxyz.gens()[?7h[?12l[?25h[?25l[?7lRxyz.<x, y, z0, z1> = PolynomialRing(GF(3), 4)[?7h[?12l[?25h[?25l[?7lx^2*z[1]- z[0]*[1]^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[^2[?7h[?12l[?25h[?25l[?7l^2[?7h[?12l[?25h[?25l[?7l^2[?7h[?12l[?25h[?25l[?7l1^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[*z1^2[?7h[?12l[?25h[?25l[?7l*z1^2[?7h[?12l[?25h[?25l[?7l*z1^2[?7h[?12l[?25h[?25l[?7l0*z1^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[ - z0*z1^2[?7h[?12l[?25h[?25l[?7l - z0*z1^2[?7h[?12l[?25h[?25l[?7l - z0*z1^2[?7h[?12l[?25h[?25l[?7l1 - z0*z1^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(x^2*z1 - z0*z1^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l().[?7h[?12l[?25h[?25l[?7lq[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l^[?7h[?12l[?25h[?25l[?7l2[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: (x^2*z1 - z0*z1^2).quo_rem(x^2)

-[?7h[?12l[?25h[?2004l[?7h(z1, -z0*z1^2)
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(x^2*z1 - z0*z1^2).quo_rem(x^2)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-(x^2*z1 - z0*z1^2 + z1^2)/x^3
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [22], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:75, in coordinates(self, threshold, basis)
-
-File <string>:84, in coordinates(self, basis)
-
-File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
-    895 if mor is not None:
-    896     if no_extra_args:
---> 897         return mor._call_(x)
-    898     else:
-    899         return mor._call_with_args(x, args, kwds)
-
-File /ext/sage/9.7/src/sage/categories/map.pyx:788, in sage.categories.map.Map._call_()
-    786     return self._call_with_args(x, args, kwds)
-    787 
---> 788 cpdef Element _call_(self, x):
-    789     """
-    790     Call method with a single argument, not implemented in the base class.
-
-File /ext/sage/9.7/src/sage/rings/fraction_field.py:1254, in FractionFieldEmbeddingSection._call_(self, x, check)
-   1249     return num
-   1250 if check and not den.is_unit():
-   1251     # This should probably be a ValueError.
-   1252     # However, too much existing code is expecting this to throw a
-   1253     # TypeError, so we decided to keep it for the time being.
--> 1254     raise TypeError("fraction must have unit denominator")
-   1255 return num * den.inverse_of_unit()
-
-TypeError: fraction must have unit denominator
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(x^2*z1 - z0*z1^2 + z1^2)/x^3[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l((x^2*z1 - z0*z1^2 + z1^2)/x^3[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lAx^2*z1 - z0*z1^2 + z1^2)/x^3[?7h[?12l[?25h[?25l[?7lSx^2*z1 - z0*z1^2 + z1^2)/x^3[?7h[?12l[?25h[?25l[?7l.x^2*z1 - z0*z1^2 + z1^2)/x^3[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAz1 - z0*z1^2 + z1^2)/x^3[?7h[?12l[?25h[?25l[?7lSz1 - z0*z1^2 + z1^2)/x^3[?7h[?12l[?25h[?25l[?7l.z1 - z0*z1^2 + z1^2)/x^3[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[1 - z0*z1^2 + z1^2)/x^3[?7h[?12l[?25h[?25l[?7lp1 - z0*z1^2 + z1^2)/x^3[?7h[?12l[?25h[?25l[?7l1 - z0*z1^2 + z1^2)/x^3[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[] - z0*z1^2 + z1^2)/x^3[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAz0*z1^2 + z1^2)/x^3[?7h[?12l[?25h[?25l[?7lSz0*z1^2 + z1^2)/x^3[?7h[?12l[?25h[?25l[?7l.z0*z1^2 + z1^2)/x^3[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[0*z1^2 + z1^2)/x^3[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[]*z1^2 + z1^2)/x^3[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAz1^2 + z1^2)/x^3[?7h[?12l[?25h[?25l[?7lSz1^2 + z1^2)/x^3[?7h[?12l[?25h[?25l[?7l.z1^2 + z1^2)/x^3[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[1^2 + z1^2)/x^3[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[]^2 + z1^2)/x^3[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAz1^2)/x^3[?7h[?12l[?25h[?25l[?7lSz1^2)/x^3[?7h[?12l[?25h[?25l[?7l.z1^2)/x^3[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[1^2)/x^3[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[]^2)/x^3[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lAx^3[?7h[?12l[?25h[?25l[?7lSx^3[?7h[?12l[?25h[?25l[?7l.x^3[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l().[?7h[?12l[?25h[?25l[?7lv[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: ((AS.x^2*AS.z[1] - AS.z[0]*AS.z[1]^2 + AS.z[1]^2)/AS.x^3).valuation()

-[?7h[?12l[?25h[?2004l[?7h1
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l((AS.x^2*AS.z[1] - AS.z[0]*AS.z[1]^2 + AS.z[1]^2)/AS.x^3).valuation()[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-0
-0 0
-0
-0 0
-0
-0 0
-0
-0 0
-0
-0 0
-0
-0 0
-0
-0 0
-0
-0 0
-0
-0 0
-0
-0 0
-0
-0 0
-0
-0 0
-0
-0 0
-0
-0 0
-0
-0 0
-0
-0 0
-0
-0 0
-0
-0 0
-0
-0 0
-(x^2*z1 - z0*z1^2 + z1^2)/x^3
-0 0
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [24], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:76, in coordinates(self, threshold, basis)
-
-File <string>:84, in coordinates(self, basis)
-
-File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
-    895 if mor is not None:
-    896     if no_extra_args:
---> 897         return mor._call_(x)
-    898     else:
-    899         return mor._call_with_args(x, args, kwds)
-
-File /ext/sage/9.7/src/sage/categories/map.pyx:788, in sage.categories.map.Map._call_()
-    786     return self._call_with_args(x, args, kwds)
-    787 
---> 788 cpdef Element _call_(self, x):
-    789     """
-    790     Call method with a single argument, not implemented in the base class.
-
-File /ext/sage/9.7/src/sage/rings/fraction_field.py:1254, in FractionFieldEmbeddingSection._call_(self, x, check)
-   1249     return num
-   1250 if check and not den.is_unit():
-   1251     # This should probably be a ValueError.
-   1252     # However, too much existing code is expecting this to throw a
-   1253     # TypeError, so we decided to keep it for the time being.
--> 1254     raise TypeError("fraction must have unit denominator")
-   1255 return num * den.inverse_of_unit()
-
-TypeError: fraction must have unit denominator
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-0
-! 0 0
-0
-! 0 0
-0
-! 0 0
-0
-! 0 0
-0
-! 0 0
-0
-! 0 0
-0
-! 0 0
-0
-! 0 0
-0
-! 0 0
-0
-! 0 0
-0
-! 0 0
-0
-! 0 0
-0
-! 0 0
-0
-! 0 0
-0
-! 0 0
-0
-! 0 0
-0
-! 0 0
-0
-! 0 0
-0
-! 0 0
-(x^2*z1 - z0*z1^2 + z1^2)/x^3
-! 0 0
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [25], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:76, in coordinates(self, threshold, basis)
-
-File <string>:84, in coordinates(self, basis)
-
-File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
-    895 if mor is not None:
-    896     if no_extra_args:
---> 897         return mor._call_(x)
-    898     else:
-    899         return mor._call_with_args(x, args, kwds)
-
-File /ext/sage/9.7/src/sage/categories/map.pyx:788, in sage.categories.map.Map._call_()
-    786     return self._call_with_args(x, args, kwds)
-    787 
---> 788 cpdef Element _call_(self, x):
-    789     """
-    790     Call method with a single argument, not implemented in the base class.
-
-File /ext/sage/9.7/src/sage/rings/fraction_field.py:1254, in FractionFieldEmbeddingSection._call_(self, x, check)
-   1249     return num
-   1250 if check and not den.is_unit():
-   1251     # This should probably be a ValueError.
-   1252     # However, too much existing code is expecting this to throw a
-   1253     # TypeError, so we decided to keep it for the time being.
--> 1254     raise TypeError("fraction must have unit denominator")
-   1255 return num * den.inverse_of_unit()
-
-TypeError: fraction must have unit denominator
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-? 0
-! 0 0
-? 0
-! 0 0
-? 0
-! 0 0
-? 0
-! 0 0
-? 0
-! 0 0
-? 0
-! 0 0
-? 0
-! 0 0
-? 0
-! 0 0
-? 0
-! 0 0
-? 0
-! 0 0
-? 0
-! 0 0
-? 0
-! 0 0
-? 0
-! 0 0
-? 0
-! 0 0
-? 0
-! 0 0
-? 0
-! 0 0
-? 0
-! 0 0
-? 0
-! 0 0
-? 0
-! 0 0
-? (x^2*z1 - z0*z1^2 + z1^2)/x^3
-! 0 0
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [26], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:76, in coordinates(self, threshold, basis)
-
-File <string>:84, in coordinates(self, basis)
-
-File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
-    895 if mor is not None:
-    896     if no_extra_args:
---> 897         return mor._call_(x)
-    898     else:
-    899         return mor._call_with_args(x, args, kwds)
-
-File /ext/sage/9.7/src/sage/categories/map.pyx:788, in sage.categories.map.Map._call_()
-    786     return self._call_with_args(x, args, kwds)
-    787 
---> 788 cpdef Element _call_(self, x):
-    789     """
-    790     Call method with a single argument, not implemented in the base class.
-
-File /ext/sage/9.7/src/sage/rings/fraction_field.py:1254, in FractionFieldEmbeddingSection._call_(self, x, check)
-   1249     return num
-   1250 if check and not den.is_unit():
-   1251     # This should probably be a ValueError.
-   1252     # However, too much existing code is expecting this to throw a
-   1253     # TypeError, so we decided to keep it for the time being.
--> 1254     raise TypeError("fraction must have unit denominator")
-   1255 return num * den.inverse_of_unit()
-
-TypeError: fraction must have unit denominator
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lsage: 

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004lTraceback (most recent call last):
-
-  File /ext/sage/9.7/local/var/lib/sage/venv-python3.10.5/lib/python3.10/site-packages/IPython/core/interactiveshell.py:3398 in run_code
-    exec(code_obj, self.user_global_ns, self.user_ns)
-
-  Input In [27] in <cell line: 1>
-    load('init.sage')
-
-  File sage/misc/persist.pyx:175 in sage.misc.persist.load
-    sage.repl.load.load(filename, globals())
-
-  File /ext/sage/9.7/src/sage/repl/load.py:272 in load
-    exec(preparse_file(f.read()) + "\n", globals)
-
-  File <string>:8 in <module>
-
-  File sage/misc/persist.pyx:175 in sage.misc.persist.load
-    sage.repl.load.load(filename, globals())
-
-  File /ext/sage/9.7/src/sage/repl/load.py:272 in load
-    exec(preparse_file(f.read()) + "\n", globals)
-
-  File <string>:72
-    print('!', self.f.function - rem/f_den, '!!:' quo)
-                                            ^
-SyntaxError: invalid syntax. Perhaps you forgot a comma?
-
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-? 0
-! 0 !!: 0
-? 0
-! 0 !!: 0
-? 0
-! 0 !!: 0
-? 0
-! 0 !!: 0
-? 0
-! 0 !!: 0
-? 0
-! 0 !!: 0
-? 0
-! 0 !!: 0
-? 0
-! 0 !!: 0
-? 0
-! 0 !!: 0
-? 0
-! 0 !!: 0
-? 0
-! 0 !!: 0
-? 0
-! 0 !!: 0
-? 0
-! 0 !!: 0
-? 0
-! 0 !!: 0
-? 0
-! 0 !!: 0
-? 0
-! 0 !!: 0
-? 0
-! 0 !!: 0
-? 0
-! 0 !!: 0
-? 0
-! 0 !!: 0
-? (x^2*z1 - z0*z1^2 + z1^2)/x^3
-! 0 !!: 0
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [28], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:76, in coordinates(self, threshold, basis)
-
-File <string>:84, in coordinates(self, basis)
-
-File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
-    895 if mor is not None:
-    896     if no_extra_args:
---> 897         return mor._call_(x)
-    898     else:
-    899         return mor._call_with_args(x, args, kwds)
-
-File /ext/sage/9.7/src/sage/categories/map.pyx:788, in sage.categories.map.Map._call_()
-    786     return self._call_with_args(x, args, kwds)
-    787 
---> 788 cpdef Element _call_(self, x):
-    789     """
-    790     Call method with a single argument, not implemented in the base class.
-
-File /ext/sage/9.7/src/sage/rings/fraction_field.py:1254, in FractionFieldEmbeddingSection._call_(self, x, check)
-   1249     return num
-   1250 if check and not den.is_unit():
-   1251     # This should probably be a ValueError.
-   1252     # However, too much existing code is expecting this to throw a
-   1253     # TypeError, so we decided to keep it for the time being.
--> 1254     raise TypeError("fraction must have unit denominator")
-   1255 return num * den.inverse_of_unit()
-
-TypeError: fraction must have unit denominator
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lsage: 

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7l((AS.x^2*AS.z[1] - AS.z[0]*AS.z[1]^2 + AS.z[1]^2)/AS.x^3).valuation()[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7l((AS.x^2*AS.z[1] - AS.z[0]*AS.z[1]^2 + AS.z[1]^2)/AS.x^3).valuation()[?7h[?12l[?25h[?25l[?7l()l[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: ((AS.x^2*AS.z[1] - AS.z[0]*AS.z[1]^2 + AS.z[1]^2)/AS.x^3).valuation()

-[?7h[?12l[?25h[?2004l[?7h1
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-? 0
-q r: 0 0
-! 0 !!: 0
-? 0
-q r: 0 0
-! 0 !!: 0
-? 0
-q r: 0 0
-! 0 !!: 0
-? 0
-q r: 0 0
-! 0 !!: 0
-? 0
-q r: 0 0
-! 0 !!: 0
-? 0
-q r: 0 0
-! 0 !!: 0
-? 0
-q r: 0 0
-! 0 !!: 0
-? 0
-q r: 0 0
-! 0 !!: 0
-? 0
-q r: 0 0
-! 0 !!: 0
-? 0
-q r: 0 0
-! 0 !!: 0
-? 0
-q r: 0 0
-! 0 !!: 0
-? 0
-q r: 0 0
-! 0 !!: 0
-? 0
-q r: 0 0
-! 0 !!: 0
-? 0
-q r: 0 0
-! 0 !!: 0
-? 0
-q r: 0 0
-! 0 !!: 0
-? 0
-q r: 0 0
-! 0 !!: 0
-? 0
-q r: 0 0
-! 0 !!: 0
-? 0
-q r: 0 0
-! 0 !!: 0
-? 0
-q r: 0 0
-! 0 !!: 0
-? (x^2*z1 - z0*z1^2 + z1^2)/x^3
-q r: 0 x^2*z1 - z0*z1^2 + z1^2
-! 0 !!: 0
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [30], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:77, in coordinates(self, threshold, basis)
-
-File <string>:84, in coordinates(self, basis)
-
-File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
-    895 if mor is not None:
-    896     if no_extra_args:
---> 897         return mor._call_(x)
-    898     else:
-    899         return mor._call_with_args(x, args, kwds)
-
-File /ext/sage/9.7/src/sage/categories/map.pyx:788, in sage.categories.map.Map._call_()
-    786     return self._call_with_args(x, args, kwds)
-    787 
---> 788 cpdef Element _call_(self, x):
-    789     """
-    790     Call method with a single argument, not implemented in the base class.
-
-File /ext/sage/9.7/src/sage/rings/fraction_field.py:1254, in FractionFieldEmbeddingSection._call_(self, x, check)
-   1249     return num
-   1250 if check and not den.is_unit():
-   1251     # This should probably be a ValueError.
-   1252     # However, too much existing code is expecting this to throw a
-   1253     # TypeError, so we decided to keep it for the time being.
--> 1254     raise TypeError("fraction must have unit denominator")
-   1255 return num * den.inverse_of_unit()
-
-TypeError: fraction must have unit denominator
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-? 0
-0 q r: 0 0
-! 0 !!: 0
-? 0
-0 q r: 0 0
-! 0 !!: 0
-? 0
-0 q r: 0 0
-! 0 !!: 0
-? 0
-0 q r: 0 0
-! 0 !!: 0
-? 0
-0 q r: 0 0
-! 0 !!: 0
-? 0
-0 q r: 0 0
-! 0 !!: 0
-? 0
-0 q r: 0 0
-! 0 !!: 0
-? 0
-0 q r: 0 0
-! 0 !!: 0
-? 0
-0 q r: 0 0
-! 0 !!: 0
-? 0
-0 q r: 0 0
-! 0 !!: 0
-? 0
-0 q r: 0 0
-! 0 !!: 0
-^C---------------------------------------------------------------------------
-KeyboardInterrupt                         Traceback (most recent call last)
-Input In [31], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:77, in coordinates(self, threshold, basis)
-
-File <string>:77, in coordinates(self, basis)
-
-File <string>:137, in holomorphic_differentials_basis(self, threshold)
-
-File <string>:399, in holomorphic_combinations(S)
-
-File src/cysignals/signals.pyx:310, in cysignals.signals.python_check_interrupt()
-
-KeyboardInterrupt: 
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7l((AS.x^2*AS.z[1] - AS.z[0]*AS.z[1]^2 + AS.z[1]^2)/AS.x^3).valuation()[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-? 0
-0 q r: 0 0
-! 0 !!: 0
-? 0
-0 q r: 0 0
-! 0 !!: 0
-? 0
-0 q r: 0 0
-! 0 !!: 0
-? 0
-0 q r: 0 0
-! 0 !!: 0
-? 0
-0 q r: 0 0
-! 0 !!: 0
-? 0
-0 q r: 0 0
-! 0 !!: 0
-? 0
-0 q r: 0 0
-! 0 !!: 0
-? 0
-0 q r: 0 0
-! 0 !!: 0
-? 0
-0 q r: 0 0
-! 0 !!: 0
-? 0
-0 q r: 0 0
-! 0 !!: 0
-? 0
-0 q r: 0 0
-! 0 !!: 0
-? 0
-0 q r: 0 0
-! 0 !!: 0
-? 0
-0 q r: 0 0
-! 0 !!: 0
-? 0
-0 q r: 0 0
-! 0 !!: 0
-? 0
-0 q r: 0 0
-! 0 !!: 0
-? 0
-0 q r: 0 0
-! 0 !!: 0
-? 0
-0 q r: 0 0
-! 0 !!: 0
-? 0
-0 q r: 0 0
-! 0 !!: 0
-? 0
-0 q r: 0 0
-! 0 !!: 0
-? (x^2*z1 - z0*z1^2 + z1^2)/x^3
-(x^2*z1 - z0*z1^2 + z1^2)/x^3 q r: 0 x^2*z1 - z0*z1^2 + z1^2
-! 0 !!: 0
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [32], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:77, in coordinates(self, threshold, basis)
-
-File <string>:84, in coordinates(self, basis)
-
-File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
-    895 if mor is not None:
-    896     if no_extra_args:
---> 897         return mor._call_(x)
-    898     else:
-    899         return mor._call_with_args(x, args, kwds)
-
-File /ext/sage/9.7/src/sage/categories/map.pyx:788, in sage.categories.map.Map._call_()
-    786     return self._call_with_args(x, args, kwds)
-    787 
---> 788 cpdef Element _call_(self, x):
-    789     """
-    790     Call method with a single argument, not implemented in the base class.
-
-File /ext/sage/9.7/src/sage/rings/fraction_field.py:1254, in FractionFieldEmbeddingSection._call_(self, x, check)
-   1249     return num
-   1250 if check and not den.is_unit():
-   1251     # This should probably be a ValueError.
-   1252     # However, too much existing code is expecting this to throw a
-   1253     # TypeError, so we decided to keep it for the time being.
--> 1254     raise TypeError("fraction must have unit denominator")
-   1255 return num * den.inverse_of_unit()
-
-TypeError: fraction must have unit denominator
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: 

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-? (x^2*z1 - z0*z1^2 + z1^2)/x^3
-(x^2*z1 - z0*z1^2 + z1^2)/x^3 q r: 0 x^2*z1 - z0*z1^2 + z1^2
-if (x^2*z1 - z0*z1^2 + z1^2)/x^3 True
-! 0 !!: 0
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [33], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:78, in coordinates(self, threshold, basis)
-
-File <string>:84, in coordinates(self, basis)
-
-File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
-    895 if mor is not None:
-    896     if no_extra_args:
---> 897         return mor._call_(x)
-    898     else:
-    899         return mor._call_with_args(x, args, kwds)
-
-File /ext/sage/9.7/src/sage/categories/map.pyx:788, in sage.categories.map.Map._call_()
-    786     return self._call_with_args(x, args, kwds)
-    787 
---> 788 cpdef Element _call_(self, x):
-    789     """
-    790     Call method with a single argument, not implemented in the base class.
-
-File /ext/sage/9.7/src/sage/rings/fraction_field.py:1254, in FractionFieldEmbeddingSection._call_(self, x, check)
-   1249     return num
-   1250 if check and not den.is_unit():
-   1251     # This should probably be a ValueError.
-   1252     # However, too much existing code is expecting this to throw a
-   1253     # TypeError, so we decided to keep it for the time being.
--> 1254     raise TypeError("fraction must have unit denominator")
-   1255 return num * den.inverse_of_unit()
-
-TypeError: fraction must have unit denominator
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lsage: 

-[?7h[?12l[?25h[?2004l[?7h[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? (x^2*z1 - z0*z1^2 + z1^2)/x^3
-(x^2*z1 - z0*z1^2 + z1^2)/x^3 q r: 0 x^2*z1 - z0*z1^2 + z1^2
-if (x^2*z1 - z0*z1^2 + z1^2)/x^3 True
-! 0 !!: 0
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [34], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:79, in coordinates(self, threshold, basis)
-
-File <string>:84, in coordinates(self, basis)
-
-File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
-    895 if mor is not None:
-    896     if no_extra_args:
---> 897         return mor._call_(x)
-    898     else:
-    899         return mor._call_with_args(x, args, kwds)
-
-File /ext/sage/9.7/src/sage/categories/map.pyx:788, in sage.categories.map.Map._call_()
-    786     return self._call_with_args(x, args, kwds)
-    787 
---> 788 cpdef Element _call_(self, x):
-    789     """
-    790     Call method with a single argument, not implemented in the base class.
-
-File /ext/sage/9.7/src/sage/rings/fraction_field.py:1254, in FractionFieldEmbeddingSection._call_(self, x, check)
-   1249     return num
-   1250 if check and not den.is_unit():
-   1251     # This should probably be a ValueError.
-   1252     # However, too much existing code is expecting this to throw a
-   1253     # TypeError, so we decided to keep it for the time being.
--> 1254     raise TypeError("fraction must have unit denominator")
-   1255 return num * den.inverse_of_unit()
-
-TypeError: fraction must have unit denominator
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lsage: 

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lsage: 

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lsage: 

-[?7h[?12l[?25h[?2004l[?7h[?7h[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lsage: 

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lsage: 

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lsage: 

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lsage: 

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lsage: 

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: 

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lsage: 

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? (x^2*z1 - z0*z1^2 + z1^2)/x^3
-(x^2*z1 - z0*z1^2 + z1^2)/x^3 q r: 0 x^2*z1 - z0*z1^2 + z1^2
-if (x^2*z1 - z0*z1^2 + z1^2)/x^3 True
-! 0 !!: 0
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [35], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:79, in coordinates(self, threshold, basis)
-
-File <string>:84, in coordinates(self, basis)
-
-File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
-    895 if mor is not None:
-    896     if no_extra_args:
---> 897         return mor._call_(x)
-    898     else:
-    899         return mor._call_with_args(x, args, kwds)
-
-File /ext/sage/9.7/src/sage/categories/map.pyx:788, in sage.categories.map.Map._call_()
-    786     return self._call_with_args(x, args, kwds)
-    787 
---> 788 cpdef Element _call_(self, x):
-    789     """
-    790     Call method with a single argument, not implemented in the base class.
-
-File /ext/sage/9.7/src/sage/rings/fraction_field.py:1254, in FractionFieldEmbeddingSection._call_(self, x, check)
-   1249     return num
-   1250 if check and not den.is_unit():
-   1251     # This should probably be a ValueError.
-   1252     # However, too much existing code is expecting this to throw a
-   1253     # TypeError, so we decided to keep it for the time being.
--> 1254     raise TypeError("fraction must have unit denominator")
-   1255 return num * den.inverse_of_unit()
-
-TypeError: fraction must have unit denominator
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-^C^C
-KeyboardInterrupt
-
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? (x^2*z1 - z0*z1^2 + z1^2)/x^3
-(x^2*z1 - z0*z1^2 + z1^2)/x^3 q r: 0 x^2*z1 - z0*z1^2 + z1^2
-if (x^2*z1 - z0*z1^2 + z1^2)/x^3 True
-! 0 !!: 0
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [37], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:79, in coordinates(self, threshold, basis)
-
-File <string>:84, in coordinates(self, basis)
-
-File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
-    895 if mor is not None:
-    896     if no_extra_args:
---> 897         return mor._call_(x)
-    898     else:
-    899         return mor._call_with_args(x, args, kwds)
-
-File /ext/sage/9.7/src/sage/categories/map.pyx:788, in sage.categories.map.Map._call_()
-    786     return self._call_with_args(x, args, kwds)
-    787 
---> 788 cpdef Element _call_(self, x):
-    789     """
-    790     Call method with a single argument, not implemented in the base class.
-
-File /ext/sage/9.7/src/sage/rings/fraction_field.py:1254, in FractionFieldEmbeddingSection._call_(self, x, check)
-   1249     return num
-   1250 if check and not den.is_unit():
-   1251     # This should probably be a ValueError.
-   1252     # However, too much existing code is expecting this to throw a
-   1253     # TypeError, so we decided to keep it for the time being.
--> 1254     raise TypeError("fraction must have unit denominator")
-   1255 return num * den.inverse_of_unit()
-
-TypeError: fraction must have unit denominator
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? (x^2*z1 - z0*z1^2 + z1^2)/x^3
-(x^2*z1 - z0*z1^2 + z1^2)/x^3 q r: 0 x^2*z1 - z0*z1^2 + z1^2
-if (x^2*z1 - z0*z1^2 + z1^2)/x^3 True
-! 0 !!: 0
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [38], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:79, in coordinates(self, threshold, basis)
-
-File <string>:84, in coordinates(self, basis)
-
-File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
-    895 if mor is not None:
-    896     if no_extra_args:
---> 897         return mor._call_(x)
-    898     else:
-    899         return mor._call_with_args(x, args, kwds)
-
-File /ext/sage/9.7/src/sage/categories/map.pyx:788, in sage.categories.map.Map._call_()
-    786     return self._call_with_args(x, args, kwds)
-    787 
---> 788 cpdef Element _call_(self, x):
-    789     """
-    790     Call method with a single argument, not implemented in the base class.
-
-File /ext/sage/9.7/src/sage/rings/fraction_field.py:1254, in FractionFieldEmbeddingSection._call_(self, x, check)
-   1249     return num
-   1250 if check and not den.is_unit():
-   1251     # This should probably be a ValueError.
-   1252     # However, too much existing code is expecting this to throw a
-   1253     # TypeError, so we decided to keep it for the time being.
--> 1254     raise TypeError("fraction must have unit denominator")
-   1255 return num * den.inverse_of_unit()
-
-TypeError: fraction must have unit denominator
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-^C---------------------------------------------------------------------------
-KeyboardInterrupt                         Traceback (most recent call last)
-Input In [39], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:56, in coordinates(self, threshold, basis)
-
-File /ext/sage/9.7/src/sage/misc/functional.py:585, in symbolic_sum(expression, *args, **kwds)
-    583     return expression.sum(*args, **kwds)
-    584 elif max(len(args),len(kwds)) <= 1:
---> 585     return sum(expression, *args, **kwds)
-    586 else:
-    587     from sage.symbolic.ring import SR
-
-File <string>:56, in <genexpr>(.0)
-
-File <string>:47, in __mul__(self, other)
-
-File <string>:3, in __init__(self, C, g)
-
-File src/cysignals/signals.pyx:310, in cysignals.signals.python_check_interrupt()
-
-KeyboardInterrupt: 
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lq[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: quit()

-[?7h[?12l[?25h[?2004l
-]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ sage
-┌────────────────────────────────────────────────────────────────────┐
-│ SageMath version 9.7, Release Date: 2022-09-19                     │
-│ Using Python 3.10.5. Type "help()" for help.                       │
-└────────────────────────────────────────────────────────────────────┘
-]0;IPython: DeRhamComputation/sage[?2004h[?1l[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? (x^2*z1 - z0*z1^2 + z1^2)/x^3
-(x^2*z1 - z0*z1^2 + z1^2)/x^3 q r: 0 x^2*z1 - z0*z1^2 + z1^2
-if (x^2*z1 - z0*z1^2 + z1^2)/x^3 True
-! 0 !!: 0
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [1], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:79, in coordinates(self, threshold, basis)
-
-File <string>:84, in coordinates(self, basis)
-
-File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
-    895 if mor is not None:
-    896     if no_extra_args:
---> 897         return mor._call_(x)
-    898     else:
-    899         return mor._call_with_args(x, args, kwds)
-
-File /ext/sage/9.7/src/sage/categories/map.pyx:788, in sage.categories.map.Map._call_()
-    786     return self._call_with_args(x, args, kwds)
-    787 
---> 788 cpdef Element _call_(self, x):
-    789     """
-    790     Call method with a single argument, not implemented in the base class.
-
-File /ext/sage/9.7/src/sage/rings/fraction_field.py:1254, in FractionFieldEmbeddingSection._call_(self, x, check)
-   1249     return num
-   1250 if check and not den.is_unit():
-   1251     # This should probably be a ValueError.
-   1252     # However, too much existing code is expecting this to throw a
-   1253     # TypeError, so we decided to keep it for the time being.
--> 1254     raise TypeError("fraction must have unit denominator")
-   1255 return num * den.inverse_of_unit()
-
-TypeError: fraction must have unit denominator
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? (x^2*z1 - z0*z1^2 + z1^2)/x^3
-(x^2*z1 - z0*z1^2 + z1^2)/x^3 q r: 0 x^2*z1 - z0*z1^2 + z1^2
-if (x^2*z1 - z0*z1^2 + z1^2)/x^3 True
-! 0 !!: 0
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [2], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:79, in coordinates(self, threshold, basis)
-
-File <string>:84, in coordinates(self, basis)
-
-File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
-    895 if mor is not None:
-    896     if no_extra_args:
---> 897         return mor._call_(x)
-    898     else:
-    899         return mor._call_with_args(x, args, kwds)
-
-File /ext/sage/9.7/src/sage/categories/map.pyx:788, in sage.categories.map.Map._call_()
-    786     return self._call_with_args(x, args, kwds)
-    787 
---> 788 cpdef Element _call_(self, x):
-    789     """
-    790     Call method with a single argument, not implemented in the base class.
-
-File /ext/sage/9.7/src/sage/rings/fraction_field.py:1254, in FractionFieldEmbeddingSection._call_(self, x, check)
-   1249     return num
-   1250 if check and not den.is_unit():
-   1251     # This should probably be a ValueError.
-   1252     # However, too much existing code is expecting this to throw a
-   1253     # TypeError, so we decided to keep it for the time being.
--> 1254     raise TypeError("fraction must have unit denominator")
-   1255 return num * den.inverse_of_unit()
-
-TypeError: fraction must have unit denominator
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-
-? (x^2*z1 - z0*z1^2 + z1^2)/x^3
-(x^2*z1 - z0*z1^2 + z1^2)/x^3 q r: 0 x^2*z1 - z0*z1^2 + z1^2
-if (x^2*z1 - z0*z1^2 + z1^2)/x^3 True
-! 0 !!: 0
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [3], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:79, in coordinates(self, threshold, basis)
-
-File <string>:84, in coordinates(self, basis)
-
-File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
-    895 if mor is not None:
-    896     if no_extra_args:
---> 897         return mor._call_(x)
-    898     else:
-    899         return mor._call_with_args(x, args, kwds)
-
-File /ext/sage/9.7/src/sage/categories/map.pyx:788, in sage.categories.map.Map._call_()
-    786     return self._call_with_args(x, args, kwds)
-    787 
---> 788 cpdef Element _call_(self, x):
-    789     """
-    790     Call method with a single argument, not implemented in the base class.
-
-File /ext/sage/9.7/src/sage/rings/fraction_field.py:1254, in FractionFieldEmbeddingSection._call_(self, x, check)
-   1249     return num
-   1250 if check and not den.is_unit():
-   1251     # This should probably be a ValueError.
-   1252     # However, too much existing code is expecting this to throw a
-   1253     # TypeError, so we decided to keep it for the time being.
--> 1254     raise TypeError("fraction must have unit denominator")
-   1255 return num * den.inverse_of_unit()
-
-TypeError: fraction must have unit denominator
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ ]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ sage
-┌────────────────────────────────────────────────────────────────────┐
-│ SageMath version 9.7, Release Date: 2022-09-19                     │
-│ Using Python 3.10.5. Type "help()" for help.                       │
-└────────────────────────────────────────────────────────────────────┘
-]0;IPython: DeRhamComputation/sage[?2004h[?1l[?25l[?7lsage: [?7h[?12l[?25h[?7h[?2004lWARNING: your terminal doesn't support cursor position requests (CPR).

-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-nowe!!!! ( (1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-nowe!!!! ( (z1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-nowe!!!! ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-nowe!!!! ( (z0 + 1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-nowe!!!! ( (z0*z1 + z1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-nowe!!!! ( (z0^2 - z0 + 1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-nowe!!!! ( (x) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-nowe!!!! ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-nowe!!!! ( (x*z0 + x) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-nowe!!!! ( (x^2) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-nowe!!!! ( ((-x^4 - z1)/x^2) * dx, z1/x )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-nowe!!!! ( ((-z1^2)/x^2) * dx, z1^2/x )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-nowe!!!! ( ((x^2*z1 - z0*z1 - z1)/x^2) * dx, (z0*z1 + z1)/x )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-nowe!!!! ( ((x^4*z0 + x^2*z0^2*z1 + x^4 - x^2*z0*z1 + x^2*z1^2 + x^2*z1 - z0*z1^2 - z1^2)/x^2) * dx, (z0*z1^2 + z1^2)/x )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-nowe!!!! ( ((-x^2*z0*z1 - x^2*z1 - z0^2*z1 + z0*z1 - z1)/x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-nowe!!!! ( ((-z0^2*z1^2 + z0*z1^2 - z1^2)/x^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-nowe!!!! ( ((-x^4*z0^2 + x^4*z0 + x^4*z1 - x^4 + z1^2)/x^3) * dx, z1^2/x^2 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-nowe!!!! ( ((x^2*z1^2 + z0*z1^2 + z1^2)/x^3) * dx, (z0*z1^2 + z1^2)/x^2 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-nowe!!!! ( ((x^4*z0^2 - x^4*z0 - x^2*z0*z1^2 + x^4 - x^2*z1^2 + z0^2*z1^2 - z0*z1^2 + z1^2)/x^3) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-nowe!!!! ( ((-z0*z1^2 - z1^2)/x^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 )
-? (x^2*z1 - z0*z1^2 + z1^2)/x^3
-(x^2*z1 - z0*z1^2 + z1^2)/x^3 q r: 0 x^2*z1 - z0*z1^2 + z1^2
-if (x^2*z1 - z0*z1^2 + z1^2)/x^3 True
-! 0 !!: 0
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [1], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:79, in coordinates(self, threshold, basis)
-
-File <string>:84, in coordinates(self, basis)
-
-File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
-    895 if mor is not None:
-    896     if no_extra_args:
---> 897         return mor._call_(x)
-    898     else:
-    899         return mor._call_with_args(x, args, kwds)
-
-File /ext/sage/9.7/src/sage/categories/map.pyx:788, in sage.categories.map.Map._call_()
-    786     return self._call_with_args(x, args, kwds)
-    787 
---> 788 cpdef Element _call_(self, x):
-    789     """
-    790     Call method with a single argument, not implemented in the base class.
-
-File /ext/sage/9.7/src/sage/rings/fraction_field.py:1254, in FractionFieldEmbeddingSection._call_(self, x, check)
-   1249     return num
-   1250 if check and not den.is_unit():
-   1251     # This should probably be a ValueError.
-   1252     # However, too much existing code is expecting this to throw a
-   1253     # TypeError, so we decided to keep it for the time being.
--> 1254     raise TypeError("fraction must have unit denominator")
-   1255 return num * den.inverse_of_unit()
-
-TypeError: fraction must have unit denominator
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-nowe!!!! ( (1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (1) * dx, 0 )
-nowe!!!! ( (z1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (z1) * dx, 0 )
-nowe!!!! ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 )
-nowe!!!! ( (z0 + 1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (z0 + 1) * dx, 0 )
-nowe!!!! ( (z0*z1 + z1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (z0*z1 + z1) * dx, 0 )
-nowe!!!! ( (z0^2 - z0 + 1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (z0^2 - z0 + 1) * dx, 0 )
-nowe!!!! ( (x) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (x) * dx, 0 )
-nowe!!!! ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 )
-nowe!!!! ( (x*z0 + x) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (x*z0 + x) * dx, 0 )
-nowe!!!! ( (x^2) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (x^2) * dx, 0 )
-nowe!!!! ( ((-x^4 - z1)/x^2) * dx, z1/x )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (0) * dx, 0 )
-nowe!!!! ( ((-z1^2)/x^2) * dx, z1^2/x )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (0) * dx, 0 )
-nowe!!!! ( ((x^2*z1 - z0*z1 - z1)/x^2) * dx, (z0*z1 + z1)/x )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (x^2) * dx, 0 )
-nowe!!!! ( ((x^4*z0 + x^2*z0^2*z1 + x^4 - x^2*z0*z1 + x^2*z1^2 + x^2*z1 - z0*z1^2 - z1^2)/x^2) * dx, (z0*z1^2 + z1^2)/x )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (x^2 - z0*z1 + z1) * dx, 0 )
-nowe!!!! ( ((-x^2*z0*z1 - x^2*z1 - z0^2*z1 + z0*z1 - z1)/x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (x^2) * dx, 0 )
-nowe!!!! ( ((-z0^2*z1^2 + z0*z1^2 - z1^2)/x^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (x^2*z0 + z0^2*z1 + z1^2) * dx, 0 )
-nowe!!!! ( ((-x^4*z0^2 + x^4*z0 + x^4*z1 - x^4 + z1^2)/x^3) * dx, z1^2/x^2 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (x*z0 - x) * dx, 0 )
-nowe!!!! ( ((x^2*z1^2 + z0*z1^2 + z1^2)/x^3) * dx, (z0*z1^2 + z1^2)/x^2 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (x*z0^2 - x*z1) * dx, 0 )
-nowe!!!! ( ((x^4*z0^2 - x^4*z0 - x^2*z0*z1^2 + x^4 - x^2*z1^2 + z0^2*z1^2 - z0*z1^2 + z1^2)/x^3) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (x*z0^2 - x*z0 - x*z1 + x) * dx, 0 )
-nowe!!!! ( ((-z0*z1^2 - z1^2)/x^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 )
-? (x^2*z1 - z0*z1^2 + z1^2)/x^3
-(x^2*z1 - z0*z1^2 + z1^2)/x^3 q r: 0 x^2*z1 - z0*z1^2 + z1^2
-if (x^2*z1 - z0*z1^2 + z1^2)/x^3 True
-! 0 !!: 0
-selfik ( ((-x^4 - z1^2 - z1)/x^2) * dx, 0 )
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [2], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:80, in coordinates(self, threshold, basis)
-
-File <string>:84, in coordinates(self, basis)
-
-File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
-    895 if mor is not None:
-    896     if no_extra_args:
---> 897         return mor._call_(x)
-    898     else:
-    899         return mor._call_with_args(x, args, kwds)
-
-File /ext/sage/9.7/src/sage/categories/map.pyx:788, in sage.categories.map.Map._call_()
-    786     return self._call_with_args(x, args, kwds)
-    787 
---> 788 cpdef Element _call_(self, x):
-    789     """
-    790     Call method with a single argument, not implemented in the base class.
-
-File /ext/sage/9.7/src/sage/rings/fraction_field.py:1254, in FractionFieldEmbeddingSection._call_(self, x, check)
-   1249     return num
-   1250 if check and not den.is_unit():
-   1251     # This should probably be a ValueError.
-   1252     # However, too much existing code is expecting this to throw a
-   1253     # TypeError, so we decided to keep it for the time being.
--> 1254     raise TypeError("fraction must have unit denominator")
-   1255 return num * den.inverse_of_unit()
-
-TypeError: fraction must have unit denominator
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-nowe!!!! ( (1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (1) * dx, 0 )
-nowe!!!! ( (z1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (z1) * dx, 0 )
-nowe!!!! ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 )
-nowe!!!! ( (z0 + 1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (z0 + 1) * dx, 0 )
-nowe!!!! ( (z0*z1 + z1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (z0*z1 + z1) * dx, 0 )
-nowe!!!! ( (z0^2 - z0 + 1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (z0^2 - z0 + 1) * dx, 0 )
-nowe!!!! ( (x) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (x) * dx, 0 )
-nowe!!!! ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 )
-nowe!!!! ( (x*z0 + x) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (x*z0 + x) * dx, 0 )
-nowe!!!! ( (x^2) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (x^2) * dx, 0 )
-nowe!!!! ( ((-x^4 - z1)/x^2) * dx, z1/x )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (0) * dx, 0 )
-nowe!!!! ( ((-z1^2)/x^2) * dx, z1^2/x )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (0) * dx, 0 )
-nowe!!!! ( ((x^2*z1 - z0*z1 - z1)/x^2) * dx, (z0*z1 + z1)/x )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (x^2) * dx, 0 )
-nowe!!!! ( ((x^4*z0 + x^2*z0^2*z1 + x^4 - x^2*z0*z1 + x^2*z1^2 + x^2*z1 - z0*z1^2 - z1^2)/x^2) * dx, (z0*z1^2 + z1^2)/x )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (x^2 - z0*z1 + z1) * dx, 0 )
-nowe!!!! ( ((-x^2*z0*z1 - x^2*z1 - z0^2*z1 + z0*z1 - z1)/x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (x^2) * dx, 0 )
-nowe!!!! ( ((-z0^2*z1^2 + z0*z1^2 - z1^2)/x^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (x^2*z0 + z0^2*z1 + z1^2) * dx, 0 )
-nowe!!!! ( ((-x^4*z0^2 + x^4*z0 + x^4*z1 - x^4 + z1^2)/x^3) * dx, z1^2/x^2 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (x*z0 - x) * dx, 0 )
-nowe!!!! ( ((x^2*z1^2 + z0*z1^2 + z1^2)/x^3) * dx, (z0*z1^2 + z1^2)/x^2 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (x*z0^2 - x*z1) * dx, 0 )
-nowe!!!! ( ((x^4*z0^2 - x^4*z0 - x^2*z0*z1^2 + x^4 - x^2*z1^2 + z0^2*z1^2 - z0*z1^2 + z1^2)/x^3) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (x*z0^2 - x*z0 - x*z1 + x) * dx, 0 )
-nowe!!!! ( ((-z0*z1^2 - z1^2)/x^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 )
-? (x^2*z1 - z0*z1^2 + z1^2)/x^3
-(x^2*z1 - z0*z1^2 + z1^2)/x^3 q r: 0 x^2*z1 - z0*z1^2 + z1^2
-if (x^2*z1 - z0*z1^2 + z1^2)/x^3 True
-! 0 !!: 0
-selfik ( ((-x^4 - z1^2 - z1)/x^2) * dx, 0 )
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [3], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:80, in coordinates(self, threshold, basis)
-
-File <string>:84, in coordinates(self, basis)
-
-File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
-    895 if mor is not None:
-    896     if no_extra_args:
---> 897         return mor._call_(x)
-    898     else:
-    899         return mor._call_with_args(x, args, kwds)
-
-File /ext/sage/9.7/src/sage/categories/map.pyx:788, in sage.categories.map.Map._call_()
-    786     return self._call_with_args(x, args, kwds)
-    787 
---> 788 cpdef Element _call_(self, x):
-    789     """
-    790     Call method with a single argument, not implemented in the base class.
-
-File /ext/sage/9.7/src/sage/rings/fraction_field.py:1254, in FractionFieldEmbeddingSection._call_(self, x, check)
-   1249     return num
-   1250 if check and not den.is_unit():
-   1251     # This should probably be a ValueError.
-   1252     # However, too much existing code is expecting this to throw a
-   1253     # TypeError, so we decided to keep it for the time being.
--> 1254     raise TypeError("fraction must have unit denominator")
-   1255 return num * den.inverse_of_unit()
-
-TypeError: fraction must have unit denominator
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-nowe!!!! ( (1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (1) * dx, 0 )
-nowe!!!! ( (z1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (z1) * dx, 0 )
-nowe!!!! ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 )
-nowe!!!! ( (z0 + 1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (z0 + 1) * dx, 0 )
-nowe!!!! ( (z0*z1 + z1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (z0*z1 + z1) * dx, 0 )
-nowe!!!! ( (z0^2 - z0 + 1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (z0^2 - z0 + 1) * dx, 0 )
-nowe!!!! ( (x) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (x) * dx, 0 )
-nowe!!!! ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 )
-nowe!!!! ( (x*z0 + x) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (x*z0 + x) * dx, 0 )
-nowe!!!! ( (x^2) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (x^2) * dx, 0 )
-nowe!!!! ( ((-x^4 - z1)/x^2) * dx, z1/x )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (0) * dx, 0 )
-nowe!!!! ( ((-z1^2)/x^2) * dx, z1^2/x )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (0) * dx, 0 )
-nowe!!!! ( ((x^2*z1 - z0*z1 - z1)/x^2) * dx, (z0*z1 + z1)/x )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (x^2) * dx, 0 )
-nowe!!!! ( ((x^4*z0 + x^2*z0^2*z1 + x^4 - x^2*z0*z1 + x^2*z1^2 + x^2*z1 - z0*z1^2 - z1^2)/x^2) * dx, (z0*z1^2 + z1^2)/x )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (x^2 - z0*z1 + z1) * dx, 0 )
-nowe!!!! ( ((-x^2*z0*z1 - x^2*z1 - z0^2*z1 + z0*z1 - z1)/x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (x^2) * dx, 0 )
-nowe!!!! ( ((-z0^2*z1^2 + z0*z1^2 - z1^2)/x^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (x^2*z0 + z0^2*z1 + z1^2) * dx, 0 )
-nowe!!!! ( ((-x^4*z0^2 + x^4*z0 + x^4*z1 - x^4 + z1^2)/x^3) * dx, z1^2/x^2 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (x*z0 - x) * dx, 0 )
-nowe!!!! ( ((x^2*z1^2 + z0*z1^2 + z1^2)/x^3) * dx, (z0*z1^2 + z1^2)/x^2 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (x*z0^2 - x*z1) * dx, 0 )
-nowe!!!! ( ((x^4*z0^2 - x^4*z0 - x^2*z0*z1^2 + x^4 - x^2*z1^2 + z0^2*z1^2 - z0*z1^2 + z1^2)/x^3) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (x*z0^2 - x*z0 - x*z1 + x) * dx, 0 )
-nowe!!!! ( ((-z0*z1^2 - z1^2)/x^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 )
-? (x^2*z1 - z0*z1^2 + z1^2)/x^3
-(x^2*z1 - z0*z1^2 + z1^2)/x^3 q r: 0 x^2*z1 - z0*z1^2 + z1^2
-if (x^2*z1 - z0*z1^2 + z1^2)/x^3 True
-! 0 !!: 0
-selfik ( ((-x^4 - z1^2 - z1)/x^2) * dx, 0 )
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [4], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:80, in coordinates(self, threshold, basis)
-
-File <string>:84, in coordinates(self, basis)
-
-File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
-    895 if mor is not None:
-    896     if no_extra_args:
---> 897         return mor._call_(x)
-    898     else:
-    899         return mor._call_with_args(x, args, kwds)
-
-File /ext/sage/9.7/src/sage/categories/map.pyx:788, in sage.categories.map.Map._call_()
-    786     return self._call_with_args(x, args, kwds)
-    787 
---> 788 cpdef Element _call_(self, x):
-    789     """
-    790     Call method with a single argument, not implemented in the base class.
-
-File /ext/sage/9.7/src/sage/rings/fraction_field.py:1254, in FractionFieldEmbeddingSection._call_(self, x, check)
-   1249     return num
-   1250 if check and not den.is_unit():
-   1251     # This should probably be a ValueError.
-   1252     # However, too much existing code is expecting this to throw a
-   1253     # TypeError, so we decided to keep it for the time being.
--> 1254     raise TypeError("fraction must have unit denominator")
-   1255 return num * den.inverse_of_unit()
-
-TypeError: fraction must have unit denominator
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: 

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lsage: 

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: 

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: 

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-nowe!!!! ( (1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (1) * dx, 0 )
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (z1) * dx, 0 )
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 )
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0 + 1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (z0 + 1) * dx, 0 )
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0*z1 + z1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (z0*z1 + z1) * dx, 0 )
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0^2 - z0 + 1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (z0^2 - z0 + 1) * dx, 0 )
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (x) * dx, 0 )
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 )
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x*z0 + x) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (x*z0 + x) * dx, 0 )
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (x^2) * dx, 0 )
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-x^4 - z1)/x^2) * dx, z1/x )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (0) * dx, 0 )
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-z1^2)/x^2) * dx, z1^2/x )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (0) * dx, 0 )
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((x^2*z1 - z0*z1 - z1)/x^2) * dx, (z0*z1 + z1)/x )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (x^2) * dx, 0 )
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((x^4*z0 + x^2*z0^2*z1 + x^4 - x^2*z0*z1 + x^2*z1^2 + x^2*z1 - z0*z1^2 - z1^2)/x^2) * dx, (z0*z1^2 + z1^2)/x )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (x^2 - z0*z1 + z1) * dx, 0 )
-(x^2 - z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-x^2*z0*z1 - x^2*z1 - z0^2*z1 + z0*z1 - z1)/x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (x^2) * dx, 0 )
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-z0^2*z1^2 + z0*z1^2 - z1^2)/x^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (x^2*z0 + z0^2*z1 + z1^2) * dx, 0 )
-(x^2*z0 + z0^2*z1 + z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-x^4*z0^2 + x^4*z0 + x^4*z1 - x^4 + z1^2)/x^3) * dx, z1^2/x^2 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (x*z0 - x) * dx, 0 )
-(x*z0 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((x^2*z1^2 + z0*z1^2 + z1^2)/x^3) * dx, (z0*z1^2 + z1^2)/x^2 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (x*z0^2 - x*z1) * dx, 0 )
-(x*z0^2 - x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((x^4*z0^2 - x^4*z0 - x^2*z0*z1^2 + x^4 - x^2*z1^2 + z0^2*z1^2 - z0*z1^2 + z1^2)/x^3) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 )
-? 0
-0 q r: 0 0
-if 0 True
-! 0 !!: 0
-selfik ( (x*z0^2 - x*z0 - x*z1 + x) * dx, 0 )
-(x*z0^2 - x*z0 - x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-z0*z1^2 - z1^2)/x^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 )
-? (x^2*z1 - z0*z1^2 + z1^2)/x^3
-(x^2*z1 - z0*z1^2 + z1^2)/x^3 q r: 0 x^2*z1 - z0*z1^2 + z1^2
-if (x^2*z1 - z0*z1^2 + z1^2)/x^3 True
-! 0 !!: 0
-selfik ( ((-x^4 - z1^2 - z1)/x^2) * dx, 0 )
-((-x^4 - z1^2 - z1)/x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [5], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:80, in coordinates(self, threshold, basis)
-
-File <string>:85, in coordinates(self, basis)
-
-File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
-    895 if mor is not None:
-    896     if no_extra_args:
---> 897         return mor._call_(x)
-    898     else:
-    899         return mor._call_with_args(x, args, kwds)
-
-File /ext/sage/9.7/src/sage/categories/map.pyx:788, in sage.categories.map.Map._call_()
-    786     return self._call_with_args(x, args, kwds)
-    787 
---> 788 cpdef Element _call_(self, x):
-    789     """
-    790     Call method with a single argument, not implemented in the base class.
-
-File /ext/sage/9.7/src/sage/rings/fraction_field.py:1254, in FractionFieldEmbeddingSection._call_(self, x, check)
-   1249     return num
-   1250 if check and not den.is_unit():
-   1251     # This should probably be a ValueError.
-   1252     # However, too much existing code is expecting this to throw a
-   1253     # TypeError, so we decided to keep it for the time being.
--> 1254     raise TypeError("fraction must have unit denominator")
-   1255 return num * den.inverse_of_unit()
-
-TypeError: fraction must have unit denominator
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-nowe!!!! ( (1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (1) * dx, 0 )
----------------------------------------------------------------------------
-AttributeError                            Traceback (most recent call last)
-Input In [6], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:77, in coordinates(self, threshold, basis)
-
-File <string>:133, in diffn(self)
-
-File /ext/sage/9.7/src/sage/structure/element.pyx:494, in sage.structure.element.Element.__getattr__()
-    492         AttributeError: 'LeftZeroSemigroup_with_category.element_class' object has no attribute 'blah_blah'
-    493     """
---> 494     return self.getattr_from_category(name)
-    495 
-    496 cdef getattr_from_category(self, name):
-
-File /ext/sage/9.7/src/sage/structure/element.pyx:507, in sage.structure.element.Element.getattr_from_category()
-    505     else:
-    506         cls = P._abstract_element_class
---> 507     return getattr_from_other_class(self, cls, name)
-    508 
-    509 def __dir__(self):
-
-File /ext/sage/9.7/src/sage/cpython/getattr.pyx:361, in sage.cpython.getattr.getattr_from_other_class()
-    359     dummy_error_message.cls = type(self)
-    360     dummy_error_message.name = name
---> 361     raise AttributeError(dummy_error_message)
-    362 attribute = <object>attr
-    363 # Check for a descriptor (__get__ in Python)
-
-AttributeError: 'sage.rings.integer.Integer' object has no attribute 'derivative'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-nowe!!!! ( (1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (1) * dx, 0 )
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (z1) * dx, 0 )
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 )
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0 + 1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (z0 + 1) * dx, 0 )
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0*z1 + z1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (z0*z1 + z1) * dx, 0 )
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0^2 - z0 + 1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (z0^2 - z0 + 1) * dx, 0 )
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (x) * dx, 0 )
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 )
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x*z0 + x) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (x*z0 + x) * dx, 0 )
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (x^2) * dx, 0 )
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-x^4 - z1)/x^2) * dx, z1/x )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (0) * dx, 0 )
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-z1^2)/x^2) * dx, z1^2/x )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (0) * dx, 0 )
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((x^2*z1 - z0*z1 - z1)/x^2) * dx, (z0*z1 + z1)/x )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (x^2) * dx, 0 )
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((x^4*z0 + x^2*z0^2*z1 + x^4 - x^2*z0*z1 + x^2*z1^2 + x^2*z1 - z0*z1^2 - z1^2)/x^2) * dx, (z0*z1^2 + z1^2)/x )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (x^2 - z0*z1 + z1) * dx, 0 )
-(x^2 - z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-x^2*z0*z1 - x^2*z1 - z0^2*z1 + z0*z1 - z1)/x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (x^2) * dx, 0 )
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-z0^2*z1^2 + z0*z1^2 - z1^2)/x^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (x^2*z0 + z0^2*z1 + z1^2) * dx, 0 )
-(x^2*z0 + z0^2*z1 + z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-x^4*z0^2 + x^4*z0 + x^4*z1 - x^4 + z1^2)/x^3) * dx, z1^2/x^2 )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (x*z0 - x) * dx, 0 )
-(x*z0 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((x^2*z1^2 + z0*z1^2 + z1^2)/x^3) * dx, (z0*z1^2 + z1^2)/x^2 )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (x*z0^2 - x*z1) * dx, 0 )
-(x*z0^2 - x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((x^4*z0^2 - x^4*z0 - x^2*z0*z1^2 + x^4 - x^2*z1^2 + z0^2*z1^2 - z0*z1^2 + z1^2)/x^3) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (x*z0^2 - x*z0 - x*z1 + x) * dx, 0 )
-(x*z0^2 - x*z0 - x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-z0*z1^2 - z1^2)/x^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 )
-? (x^2*z1 - z0*z1^2 + z1^2)/x^3
-(x^2*z1 - z0*z1^2 + z1^2)/x^3 q r: 0 x^2*z1 - z0*z1^2 + z1^2
-if (x^2*z1 - z0*z1^2 + z1^2)/x^3 True
-selfik ( ((-x^4 - z1^2 - z1)/x^2) * dx, 0 )
-((-x^4 - z1^2 - z1)/x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [7], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:80, in coordinates(self, threshold, basis)
-
-File <string>:85, in coordinates(self, basis)
-
-File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
-    895 if mor is not None:
-    896     if no_extra_args:
---> 897         return mor._call_(x)
-    898     else:
-    899         return mor._call_with_args(x, args, kwds)
-
-File /ext/sage/9.7/src/sage/categories/map.pyx:788, in sage.categories.map.Map._call_()
-    786     return self._call_with_args(x, args, kwds)
-    787 
---> 788 cpdef Element _call_(self, x):
-    789     """
-    790     Call method with a single argument, not implemented in the base class.
-
-File /ext/sage/9.7/src/sage/rings/fraction_field.py:1254, in FractionFieldEmbeddingSection._call_(self, x, check)
-   1249     return num
-   1250 if check and not den.is_unit():
-   1251     # This should probably be a ValueError.
-   1252     # However, too much existing code is expecting this to throw a
-   1253     # TypeError, so we decided to keep it for the time being.
--> 1254     raise TypeError("fraction must have unit denominator")
-   1255 return num * den.inverse_of_unit()
-
-TypeError: fraction must have unit denominator
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-nowe!!!! ( (1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (1) * dx, 0 )
----------------------------------------------------------------------------
-AttributeError                            Traceback (most recent call last)
-Input In [8], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:78, in coordinates(self, threshold, basis)
-
-File <string>:133, in diffn(self)
-
-AttributeError: 'as_function' object has no attribute 'derivative'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7l((AS.x^2*AS.z[1] - AS.z[0]*AS.z[1]^2 + AS.z[1]^2)/AS.x^3).valuation()[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-nowe!!!! ( (1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (1) * dx, 0 )
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (z1) * dx, 0 )
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 )
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0 + 1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (z0 + 1) * dx, 0 )
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0*z1 + z1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (z0*z1 + z1) * dx, 0 )
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0^2 - z0 + 1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (z0^2 - z0 + 1) * dx, 0 )
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (x) * dx, 0 )
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 )
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x*z0 + x) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (x*z0 + x) * dx, 0 )
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (x^2) * dx, 0 )
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-x^4 - z1)/x^2) * dx, z1/x )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (0) * dx, 0 )
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-z1^2)/x^2) * dx, z1^2/x )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (0) * dx, 0 )
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((x^2*z1 - z0*z1 - z1)/x^2) * dx, (z0*z1 + z1)/x )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (x^2) * dx, 0 )
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((x^4*z0 + x^2*z0^2*z1 + x^4 - x^2*z0*z1 + x^2*z1^2 + x^2*z1 - z0*z1^2 - z1^2)/x^2) * dx, (z0*z1^2 + z1^2)/x )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (x^2 - z0*z1 + z1) * dx, 0 )
-(x^2 - z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-x^2*z0*z1 - x^2*z1 - z0^2*z1 + z0*z1 - z1)/x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (x^2) * dx, 0 )
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-z0^2*z1^2 + z0*z1^2 - z1^2)/x^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (x^2*z0 + z0^2*z1 + z1^2) * dx, 0 )
-(x^2*z0 + z0^2*z1 + z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-x^4*z0^2 + x^4*z0 + x^4*z1 - x^4 + z1^2)/x^3) * dx, z1^2/x^2 )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (x*z0 - x) * dx, 0 )
-(x*z0 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((x^2*z1^2 + z0*z1^2 + z1^2)/x^3) * dx, (z0*z1^2 + z1^2)/x^2 )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (x*z0^2 - x*z1) * dx, 0 )
-(x*z0^2 - x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((x^4*z0^2 - x^4*z0 - x^2*z0*z1^2 + x^4 - x^2*z1^2 + z0^2*z1^2 - z0*z1^2 + z1^2)/x^3) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (x*z0^2 - x*z0 - x*z1 + x) * dx, 0 )
-(x*z0^2 - x*z0 - x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-z0*z1^2 - z1^2)/x^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 )
-? (x^2*z1 - z0*z1^2 + z1^2)/x^3
-(x^2*z1 - z0*z1^2 + z1^2)/x^3 q r: 0 x^2*z1 - z0*z1^2 + z1^2
-if (x^2*z1 - z0*z1^2 + z1^2)/x^3 True
-selfik ( ((-x^4 - z1^2 - z1)/x^2) * dx, 0 )
-((-x^4 - z1^2 - z1)/x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [9], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:80, in coordinates(self, threshold, basis)
-
-File <string>:85, in coordinates(self, basis)
-
-File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
-    895 if mor is not None:
-    896     if no_extra_args:
---> 897         return mor._call_(x)
-    898     else:
-    899         return mor._call_with_args(x, args, kwds)
-
-File /ext/sage/9.7/src/sage/categories/map.pyx:788, in sage.categories.map.Map._call_()
-    786     return self._call_with_args(x, args, kwds)
-    787 
---> 788 cpdef Element _call_(self, x):
-    789     """
-    790     Call method with a single argument, not implemented in the base class.
-
-File /ext/sage/9.7/src/sage/rings/fraction_field.py:1254, in FractionFieldEmbeddingSection._call_(self, x, check)
-   1249     return num
-   1250 if check and not den.is_unit():
-   1251     # This should probably be a ValueError.
-   1252     # However, too much existing code is expecting this to throw a
-   1253     # TypeError, so we decided to keep it for the time being.
--> 1254     raise TypeError("fraction must have unit denominator")
-   1255 return num * den.inverse_of_unit()
-
-TypeError: fraction must have unit denominator
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: 

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-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-nowe!!!! ( (1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (1) * dx, 0 )
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (z1) * dx, 0 )
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 )
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0 + 1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (z0 + 1) * dx, 0 )
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0*z1 + z1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (z0*z1 + z1) * dx, 0 )
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0^2 - z0 + 1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (z0^2 - z0 + 1) * dx, 0 )
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (x) * dx, 0 )
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 )
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x*z0 + x) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (x*z0 + x) * dx, 0 )
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (x^2) * dx, 0 )
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-x^4 - z1)/x^2) * dx, z1/x )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (0) * dx, 0 )
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-z1^2)/x^2) * dx, z1^2/x )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (0) * dx, 0 )
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((x^2*z1 - z0*z1 - z1)/x^2) * dx, (z0*z1 + z1)/x )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (x^2) * dx, 0 )
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((x^4*z0 + x^2*z0^2*z1 + x^4 - x^2*z0*z1 + x^2*z1^2 + x^2*z1 - z0*z1^2 - z1^2)/x^2) * dx, (z0*z1^2 + z1^2)/x )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (x^2 - z0*z1 + z1) * dx, 0 )
-(x^2 - z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-x^2*z0*z1 - x^2*z1 - z0^2*z1 + z0*z1 - z1)/x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (x^2) * dx, 0 )
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-z0^2*z1^2 + z0*z1^2 - z1^2)/x^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (x^2*z0 + z0^2*z1 + z1^2) * dx, 0 )
-(x^2*z0 + z0^2*z1 + z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-x^4*z0^2 + x^4*z0 + x^4*z1 - x^4 + z1^2)/x^3) * dx, z1^2/x^2 )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (x*z0 - x) * dx, 0 )
-(x*z0 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((x^2*z1^2 + z0*z1^2 + z1^2)/x^3) * dx, (z0*z1^2 + z1^2)/x^2 )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (x*z0^2 - x*z1) * dx, 0 )
-(x*z0^2 - x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((x^4*z0^2 - x^4*z0 - x^2*z0*z1^2 + x^4 - x^2*z1^2 + z0^2*z1^2 - z0*z1^2 + z1^2)/x^3) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 )
-? 0
-0 q r: 0 0
-if 0 True
-selfik ( (x*z0^2 - x*z0 - x*z1 + x) * dx, 0 )
-(x*z0^2 - x*z0 - x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-z0*z1^2 - z1^2)/x^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 )
-? (x^2*z1 - z0*z1^2 + z1^2)/x^3
-(x^2*z1 - z0*z1^2 + z1^2)/x^3 q r: 0 x^2*z1 - z0*z1^2 + z1^2
-if (x^2*z1 - z0*z1^2 + z1^2)/x^3 True
-selfik ( ((-x^4 - z1^2 - z1)/x^2) * dx, 0 )
-((-x^4 - z1^2 - z1)/x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [10], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:80, in coordinates(self, threshold, basis)
-
-File <string>:85, in coordinates(self, basis)
-
-File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
-    895 if mor is not None:
-    896     if no_extra_args:
---> 897         return mor._call_(x)
-    898     else:
-    899         return mor._call_with_args(x, args, kwds)
-
-File /ext/sage/9.7/src/sage/categories/map.pyx:788, in sage.categories.map.Map._call_()
-    786     return self._call_with_args(x, args, kwds)
-    787 
---> 788 cpdef Element _call_(self, x):
-    789     """
-    790     Call method with a single argument, not implemented in the base class.
-
-File /ext/sage/9.7/src/sage/rings/fraction_field.py:1254, in FractionFieldEmbeddingSection._call_(self, x, check)
-   1249     return num
-   1250 if check and not den.is_unit():
-   1251     # This should probably be a ValueError.
-   1252     # However, too much existing code is expecting this to throw a
-   1253     # TypeError, so we decided to keep it for the time being.
--> 1254     raise TypeError("fraction must have unit denominator")
-   1255 return num * den.inverse_of_unit()
-
-TypeError: fraction must have unit denominator
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7l((AS.x^2*AS.z[1] - AS.z[0]*AS.z[1]^2 + AS.z[1]^2)/AS.x^3).valuation()[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7l((AS.x^2*AS.z[1] - AS.z[0]*AS.z[1]^2 + AS.z[1]^2)/AS.x^3).valuation()[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7l((AS.x^2*AS.z[1] - AS.z[0]*AS.z[1]^2 + AS.z[1]^2)/AS.x^3).valuation()[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-nowe!!!! ( (1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (1) * dx
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (z1) * dx
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0 + 1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (z0 + 1) * dx
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0*z1 + z1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (z0*z1 + z1) * dx
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0^2 - z0 + 1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (z0^2 - z0 + 1) * dx
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x) * dx
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (-x*z0^2 + x*z0 + x*z1 - x) * dx
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x*z0 + x) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x*z0 + x) * dx
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-x^4 - z1)/x^2) * dx, z1/x )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-z1^2)/x^2) * dx, z1^2/x )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((x^2*z1 - z0*z1 - z1)/x^2) * dx, (z0*z1 + z1)/x )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((x^4*z0 + x^2*z0^2*z1 + x^4 - x^2*z0*z1 + x^2*z1^2 + x^2*z1 - z0*z1^2 - z1^2)/x^2) * dx, (z0*z1^2 + z1^2)/x )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2 - z0*z1 + z1) * dx
-(x^2 - z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-x^2*z0*z1 - x^2*z1 - z0^2*z1 + z0*z1 - z1)/x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-z0^2*z1^2 + z0*z1^2 - z1^2)/x^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2*z0 + z0^2*z1 + z1^2) * dx
-(x^2*z0 + z0^2*z1 + z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-x^4*z0^2 + x^4*z0 + x^4*z1 - x^4 + z1^2)/x^3) * dx, z1^2/x^2 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x*z0 - x) * dx
-(x*z0 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((x^2*z1^2 + z0*z1^2 + z1^2)/x^3) * dx, (z0*z1^2 + z1^2)/x^2 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x*z0^2 - x*z1) * dx
-(x*z0^2 - x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((x^4*z0^2 - x^4*z0 - x^2*z0*z1^2 + x^4 - x^2*z1^2 + z0^2*z1^2 - z0*z1^2 + z1^2)/x^3) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x*z0^2 - x*z0 - x*z1 + x) * dx
-(x*z0^2 - x*z0 - x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-z0*z1^2 - z1^2)/x^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 )
-? (x^2*z1 - z0*z1^2 + z1^2)/x^3
-(x^2*z1 - z0*z1^2 + z1^2)/x^3 q r: 0 x^2*z1 - z0*z1^2 + z1^2
-if (x^2*z1 - z0*z1^2 + z1^2)/x^3 True
-hol_form ((-x^4 - z1^2 - z1)/x^2) * dx
-((-x^4 - z1^2 - z1)/x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [11], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:80, in coordinates(self, threshold, basis)
-
-File <string>:85, in coordinates(self, basis)
-
-File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
-    895 if mor is not None:
-    896     if no_extra_args:
---> 897         return mor._call_(x)
-    898     else:
-    899         return mor._call_with_args(x, args, kwds)
-
-File /ext/sage/9.7/src/sage/categories/map.pyx:788, in sage.categories.map.Map._call_()
-    786     return self._call_with_args(x, args, kwds)
-    787 
---> 788 cpdef Element _call_(self, x):
-    789     """
-    790     Call method with a single argument, not implemented in the base class.
-
-File /ext/sage/9.7/src/sage/rings/fraction_field.py:1254, in FractionFieldEmbeddingSection._call_(self, x, check)
-   1249     return num
-   1250 if check and not den.is_unit():
-   1251     # This should probably be a ValueError.
-   1252     # However, too much existing code is expecting this to throw a
-   1253     # TypeError, so we decided to keep it for the time being.
--> 1254     raise TypeError("fraction must have unit denominator")
-   1255 return num * den.inverse_of_unit()
-
-TypeError: fraction must have unit denominator
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.z[1]^2/AS.x*AS.dx[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lholomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7llomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lsage: AS.holomorphic_differentials_basis()

-[?7h[?12l[?25h[?2004l[?7h[(1) * dx,
- (z1) * dx,
- (x^2*z0 + z0^2*z1 + z1^2) * dx,
- (z0) * dx,
- (z0*z1) * dx,
- (z0^2) * dx,
- (x) * dx,
- (-x*z0^2 + x*z1) * dx,
- (x*z0) * dx,
- (x^2) * dx]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ sage
-┌────────────────────────────────────────────────────────────────────┐
-│ SageMath version 9.7, Release Date: 2022-09-19                     │
-│ Using Python 3.10.5. Type "help()" for help.                       │
-└────────────────────────────────────────────────────────────────────┘
-]0;IPython: DeRhamComputation/sage[?2004h[?1l[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-nowe!!!! ( (1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (1) * dx
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (z1) * dx
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0 + 1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (z0 + 1) * dx
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0*z1 + z1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (z0*z1 + z1) * dx
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0^2 - z0 + 1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (z0^2 - z0 + 1) * dx
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x) * dx
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (-x*z0^2 + x*z0 + x*z1 - x) * dx
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x*z0 + x) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x*z0 + x) * dx
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-x^4 - z1)/x^2) * dx, z1/x )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-z1^2)/x^2) * dx, z1^2/x )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((x^2*z1 - z0*z1 - z1)/x^2) * dx, (z0*z1 + z1)/x )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((x^4*z0 + x^2*z0^2*z1 + x^4 - x^2*z0*z1 + x^2*z1^2 + x^2*z1 - z0*z1^2 - z1^2)/x^2) * dx, (z0*z1^2 + z1^2)/x )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2 - z0*z1 + z1) * dx
-(x^2 - z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-x^2*z0*z1 - x^2*z1 - z0^2*z1 + z0*z1 - z1)/x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-z0^2*z1^2 + z0*z1^2 - z1^2)/x^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2*z0 + z0^2*z1 + z1^2) * dx
-(x^2*z0 + z0^2*z1 + z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-x^4*z0^2 + x^4*z0 + x^4*z1 - x^4 + z1^2)/x^3) * dx, z1^2/x^2 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x*z0 - x) * dx
-(x*z0 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((x^2*z1^2 + z0*z1^2 + z1^2)/x^3) * dx, (z0*z1^2 + z1^2)/x^2 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x*z0^2 - x*z1) * dx
-(x*z0^2 - x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((x^4*z0^2 - x^4*z0 - x^2*z0*z1^2 + x^4 - x^2*z1^2 + z0^2*z1^2 - z0*z1^2 + z1^2)/x^3) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x*z0^2 - x*z0 - x*z1 + x) * dx
-(x*z0^2 - x*z0 - x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-z0*z1^2 - z1^2)/x^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 )
-? (x^2*z1 - z0*z1^2 + z1^2)/x^3
-(x^2*z1 - z0*z1^2 + z1^2)/x^3 q r: 0 x^2*z1 - z0*z1^2 + z1^2
-if (x^2*z1 - z0*z1^2 + z1^2)/x^3 True
-hol_form ((-x^4 - z1^2 - z1)/x^2) * dx
-((-x^4 - z1^2 - z1)/x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [1], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:80, in coordinates(self, threshold, basis)
-
-File <string>:85, in coordinates(self, basis)
-
-File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
-    895 if mor is not None:
-    896     if no_extra_args:
---> 897         return mor._call_(x)
-    898     else:
-    899         return mor._call_with_args(x, args, kwds)
-
-File /ext/sage/9.7/src/sage/categories/map.pyx:788, in sage.categories.map.Map._call_()
-    786     return self._call_with_args(x, args, kwds)
-    787 
---> 788 cpdef Element _call_(self, x):
-    789     """
-    790     Call method with a single argument, not implemented in the base class.
-
-File /ext/sage/9.7/src/sage/rings/fraction_field.py:1254, in FractionFieldEmbeddingSection._call_(self, x, check)
-   1249     return num
-   1250 if check and not den.is_unit():
-   1251     # This should probably be a ValueError.
-   1252     # However, too much existing code is expecting this to throw a
-   1253     # TypeError, so we decided to keep it for the time being.
--> 1254     raise TypeError("fraction must have unit denominator")
-   1255 return num * den.inverse_of_unit()
-
-TypeError: fraction must have unit denominator
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lom[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7l = AS.holomorphic_differentials_basis()[1][?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l AS.holomorphic_differentials_basis()[1][?7h[?12l[?25h[?25l[?7lsage: om = AS.holomorphic_differentials_basis()[1]

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lf = Rxy(x^2 + y^3)[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l = Rxy(x^2 + y^3)[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7lh[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lh[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lg[?7h[?12l[?25h[?25l[?7ly[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7lsage: f = AS.cohomology_of s

-  sage                             sage_globals                     sageobj                          save_session                     scilab                           
 

-  sage0                            sage_input                       sample                           %sc                              %%script                         
 

-  sage0_version                    sage_mode                        sandpiles                        scatter_plot                     search_def                       
>

-  sage_eval                        sage_wraps                       save                             schonheim                        search_doc                       
 

- [?7h[?12l[?25h[?25l[?7l

-

-

-

-[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l_of_structure_sheaf_basis[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7lsage: f = AS.cohomology_of_structure_sheaf_basis()[1]

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lsage: 

-

-

-

- [?7h[?12l[?25h[?25l[?7lom = AS.holomorphic_differentials_basis()[1][?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lrre_duality_pairing[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: om.serre_duality_pairing(f)

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: 

-

-

- [?7h[?12l[?25h[?25l[?7lom.serre_duality_pairing(f)[?7h[?12l[?25h[?25l[?7lf = AS.cohomology_of_structure_sheaf_basis()[1][?7h[?12l[?25h[?25l[?7lom = AS.holomorphic_differentials_basis()[1][?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-nowe!!!! ( (1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (1) * dx
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (z1) * dx
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0 + 1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (z0 + 1) * dx
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0*z1 + z1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (z0*z1 + z1) * dx
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0^2 - z0 + 1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (z0^2 - z0 + 1) * dx
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x) * dx
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (-x*z0^2 + x*z0 + x*z1 - x) * dx
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x*z0 + x) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x*z0 + x) * dx
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-x^4 - z1)/x^2) * dx, z1/x )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-z1^2)/x^2) * dx, z1^2/x )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((x^2*z1 - z0*z1 - z1)/x^2) * dx, (z0*z1 + z1)/x )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((x^4*z0 + x^2*z0^2*z1 + x^4 - x^2*z0*z1 + x^2*z1^2 + x^2*z1 - z0*z1^2 - z1^2)/x^2) * dx, (z0*z1^2 + z1^2)/x )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2 - z0*z1 + z1) * dx
-(x^2 - z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-x^2*z0*z1 - x^2*z1 - z0^2*z1 + z0*z1 - z1)/x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-z0^2*z1^2 + z0*z1^2 - z1^2)/x^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2*z0 + z0^2*z1 + z1^2) * dx
-(x^2*z0 + z0^2*z1 + z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-x^4*z0^2 + x^4*z0 + x^4*z1 - x^4 + z1^2)/x^3) * dx, z1^2/x^2 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x*z0 - x) * dx
-(x*z0 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((x^2*z1^2 + z0*z1^2 + z1^2)/x^3) * dx, (z0*z1^2 + z1^2)/x^2 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x*z0^2 - x*z1) * dx
-(x*z0^2 - x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((x^4*z0^2 - x^4*z0 - x^2*z0*z1^2 + x^4 - x^2*z1^2 + z0^2*z1^2 - z0*z1^2 + z1^2)/x^3) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x*z0^2 - x*z0 - x*z1 + x) * dx
-(x*z0^2 - x*z0 - x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-z0*z1^2 - z1^2)/x^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 )
-? (x^2*z1 - z0*z1^2 + z1^2)/x^3
-(x^2*z1 - z0*z1^2 + z1^2)/x^3 q r: 0 x^2*z1 - z0*z1^2 + z1^2
-if (x^2*z1 - z0*z1^2 + z1^2)/x^3 True
-hol_form ((-x^4 - z1^2 - z1)/x^2) * dx
-((-x^4 - z1^2 - z1)/x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [5], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:80, in coordinates(self, threshold, basis)
-
-File <string>:85, in coordinates(self, basis)
-
-File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
-    895 if mor is not None:
-    896     if no_extra_args:
---> 897         return mor._call_(x)
-    898     else:
-    899         return mor._call_with_args(x, args, kwds)
-
-File /ext/sage/9.7/src/sage/categories/map.pyx:788, in sage.categories.map.Map._call_()
-    786     return self._call_with_args(x, args, kwds)
-    787 
---> 788 cpdef Element _call_(self, x):
-    789     """
-    790     Call method with a single argument, not implemented in the base class.
-
-File /ext/sage/9.7/src/sage/rings/fraction_field.py:1254, in FractionFieldEmbeddingSection._call_(self, x, check)
-   1249     return num
-   1250 if check and not den.is_unit():
-   1251     # This should probably be a ValueError.
-   1252     # However, too much existing code is expecting this to throw a
-   1253     # TypeError, so we decided to keep it for the time being.
--> 1254     raise TypeError("fraction must have unit denominator")
-   1255 return num * den.inverse_of_unit()
-
-TypeError: fraction must have unit denominator
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lom.serre_duality_pairing(f)[?7h[?12l[?25h[?25l[?7lf = AS.cohomology_of_structure_sheaf_basis()[1][?7h[?12l[?25h[?25l[?7lom = AS.holomorphic_differentials_basis()[1][?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lom = AS.holomorphic_differentials_basis()[1][?7h[?12l[?25h[?25l[?7lsage: om = AS.holomorphic_differentials_basis()[1]

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lom = AS.holomorphic_differentials_basis()[1][?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lom.serre_duality_pairing(f)[?7h[?12l[?25h[?25l[?7lf = AS.cohomology_of_structure_sheaf_basis()[1][?7h[?12l[?25h[?25l[?7lsage: f = AS.cohomology_of_structure_sheaf_basis()[1]

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lom = AS.holomorphic_differentials_basis()[1][?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7l.serre_duality_pairng(f)[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7lerre_duality_pairing(f)[?7h[?12l[?25h[?25l[?7lsage: om.serre_duality_pairing(f)

-[?7h[?12l[?25h[?2004l[?7h0
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lf = AS.cohomology_of_structure_sheaf_basis()[1][?7h[?12l[?25h[?25l[?7lori, j in enumerate(lll):[?7h[?12l[?25h[?25l[?7lfor[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lin[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lh[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lmology_of_structure_sheaf_basis[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l():[?7h[?12l[?25h[?25l[?7lsage: for f in AS.cohomology_of_structure_sheaf_basis():

-....: [?7h[?12l[?25h[?25l[?7lprint(i, j)[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lprint[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lrre_duality_pairing[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l....:     print(om.serre_duality_pairing(f))

-....: [?7h[?12l[?25h[?25l[?7lsage: for f in AS.cohomology_of_structure_sheaf_basis():

-....:     print(om.serre_duality_pairing(f))

-....: 

-[?7h[?12l[?25h[?2004l0
-0
-0
-0
-2
-0
-0
-0
-0
-0
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lfor f in AS.cohomology_of_structure_sheaf_basis():[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lfor[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7lf in AS.cohomology_of_structure_sheaf_basis():[?7h[?12l[?25h[?25l[?7lsage: for f in AS.cohomology_of_structure_sheaf_basis():

-....: [?7h[?12l[?25h[?25l[?7lfor b in [3, 5, 7, 13, 23, 67, 89, 397, 683, 2113]:[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lfor[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lg[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lin[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lh[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lmorphic_differentials_basis[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l():[?7h[?12l[?25h[?25l[?7l....:     for omega in AS.holomorphic_differentials_basis():

-....: [?7h[?12l[?25h[?25l[?7lprint(a)[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lprint[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7l_duality_pairing[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l....:         print(om.serre_duality_pairing(f))

-....: [?7h[?12l[?25h[?25l[?7lsage: for f in AS.cohomology_of_structure_sheaf_basis():

-....:     for omega in AS.holomorphic_differentials_basis():

-....:         print(om.serre_duality_pairing(f))

-....: 

-[?7h[?12l[?25h[?2004l0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-0
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: for f in AS.cohomology_of_structure_sheaf_basis():

-....:     for omega in AS.holomorphic_differentials_basis():

-....:         print(om.serre_duality_pairing(f))[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lif in AS.cohomology_of_structure_sheaf_basis():[?7h[?12l[?25h[?25l[?7li,f in AS.cohomology_of_structure_sheaf_basis():[?7h[?12l[?25h[?25l[?7l f in AS.cohomology_of_structure_sheaf_basis():[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7leAS.cohomology_of_structure_sheaf_basis():[?7h[?12l[?25h[?25l[?7lnAS.cohomology_of_structure_sheaf_basis():[?7h[?12l[?25h[?25l[?7luAS.cohomology_of_structure_sheaf_basis():[?7h[?12l[?25h[?25l[?7lmAS.cohomology_of_structure_sheaf_basis():[?7h[?12l[?25h[?25l[?7leAS.cohomology_of_structure_sheaf_basis():[?7h[?12l[?25h[?25l[?7lrAS.cohomology_of_structure_sheaf_basis():[?7h[?12l[?25h[?25l[?7laAS.cohomology_of_structure_sheaf_basis():[?7h[?12l[?25h[?25l[?7ltAS.cohomology_of_structure_sheaf_basis():[?7h[?12l[?25h[?25l[?7leAS.cohomology_of_structure_sheaf_basis():[?7h[?12l[?25h[?25l[?7lenumerate(AS.cohomology_of_structure_sheaf_basis():[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l

-[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l(()):[?7h[?12l[?25h[?25l[?7l()

-[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ljomega in AS.holomorphic_diferentials_basis():[?7h[?12l[?25h[?25l[?7l,omega in AS.holomorphic_diferentials_basis():[?7h[?12l[?25h[?25l[?7l omega in AS.holomorphic_diferentials_basis():[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7leAS.holomorphic_diferentials_basis():[?7h[?12l[?25h[?25l[?7lnAS.holomorphic_diferentials_basis():[?7h[?12l[?25h[?25l[?7luAS.holomorphic_diferentials_basis():[?7h[?12l[?25h[?25l[?7lmAS.holomorphic_diferentials_basis():[?7h[?12l[?25h[?25l[?7leAS.holomorphic_diferentials_basis():[?7h[?12l[?25h[?25l[?7lrAS.holomorphic_diferentials_basis():[?7h[?12l[?25h[?25l[?7laAS.holomorphic_diferentials_basis():[?7h[?12l[?25h[?25l[?7ltAS.holomorphic_diferentials_basis():[?7h[?12l[?25h[?25l[?7leAS.holomorphic_diferentials_basis():[?7h[?12l[?25h[?25l[?7lenumerate(AS.holomorphic_diferentials_basis():[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l

-()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l(()):[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l

-()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lprin(om.sere_duality_pairing(f))[?7h[?12l[?25h[?25l[?7l(om.sere_duality_pairing(f))[?7h[?12l[?25h[?25l[?7l(om.sere_duality_pairing(f))[?7h[?12l[?25h[?25l[?7l(om.sere_duality_pairing(f))[?7h[?12l[?25h[?25l[?7l(om.sere_duality_pairing(f))[?7h[?12l[?25h[?25l[?7li(om.sere_duality_pairing(f))[?7h[?12l[?25h[?25l[?7lif(om.sere_duality_pairing(f))[?7h[?12l[?25h[?25l[?7l (om.sere_duality_pairing(f))[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l![?7h[?12l[?25h[?25l[?7l!=[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7lL[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l:[?7h[?12l[?25h[?25l[?7l....:         if (om.serre_duality_pairing(f)) != 0:

-....: [?7h[?12l[?25h[?25l[?7lprint("Collision")[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lprint[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lj[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l....:             print(i, j)

-....: [?7h[?12l[?25h[?25l[?7lsage: for i, f in enumerate(AS.cohomology_of_structure_sheaf_basis()):

-....:     for j, omega in enumerate(AS.holomorphic_differentials_basis()):

-....:         if (om.serre_duality_pairing(f)) != 0:

-....:             print(i, j)

-....: 

-[?7h[?12l[?25h[?2004l4 0
-4 1
-4 2
-4 3
-4 4
-4 5
-4 6
-4 7
-4 8
-4 9
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-(0, 0, 2, 0, 0, 0, 0, 0, 0, 0)
-(0, 0, 0, 0, 0, 2, 0, 0, 0, 0)
-(0, 0, 0, 0, 2, 0, 0, 0, 0, 0)
-(0, 0, 0, 2, 0, 0, 0, 0, 0, 0)
-(0, 2, 2, 0, 0, 0, 0, 0, 0, 0)
-(2, 0, 2, 0, 0, 2, 0, 0, 0, 0)
-(0, 0, 0, 0, 0, 0, 0, 1, 0, 0)
-(0, 0, 0, 0, 0, 0, 0, 0, 2, 0)
-(0, 0, 0, 0, 0, 0, 2, 1, 0, 0)
-(0, 0, 0, 0, 0, 0, 0, 0, 0, 2)
-(0, 0, 2, 0, 0, 0, 0, 0, 0, 0)
-(0, 0, 0, 0, 0, 2, 0, 0, 0, 0)
-(0, 0, 0, 0, 2, 0, 0, 0, 0, 0)
-(0, 0, 0, 2, 0, 0, 0, 0, 0, 0)
-(0, 2, 2, 0, 0, 0, 0, 0, 0, 0)
-(2, 0, 2, 0, 0, 2, 0, 0, 0, 0)
-(0, 0, 0, 0, 0, 0, 0, 1, 0, 0)
-(0, 0, 0, 0, 0, 0, 0, 0, 2, 0)
-(0, 0, 0, 0, 0, 0, 2, 1, 0, 0)
-(0, 0, 0, 0, 0, 0, 0, 0, 0, 2)
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-nowe!!!! ( (1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (1) * dx
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (z1) * dx
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0 + 1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (z0 + 1) * dx
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0*z1 + z1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (z0*z1 + z1) * dx
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0^2 - z0 + 1) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (z0^2 - z0 + 1) * dx
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x) * dx
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (-x*z0^2 + x*z0 + x*z1 - x) * dx
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x*z0 + x) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x*z0 + x) * dx
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2) * dx, 0 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-x^4 - z1)/x^2) * dx, z1/x )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-z1^2)/x^2) * dx, z1^2/x )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((x^2*z1 - z0*z1 - z1)/x^2) * dx, (z0*z1 + z1)/x )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((x^4*z0 + x^2*z0^2*z1 + x^4 - x^2*z0*z1 + x^2*z1^2 + x^2*z1 - z0*z1^2 - z1^2)/x^2) * dx, (z0*z1^2 + z1^2)/x )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2 - z0*z1 + z1) * dx
-(x^2 - z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-x^2*z0*z1 - x^2*z1 - z0^2*z1 + z0*z1 - z1)/x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-z0^2*z1^2 + z0*z1^2 - z1^2)/x^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2*z0 + z0^2*z1 + z1^2) * dx
-(x^2*z0 + z0^2*z1 + z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-x^4*z0^2 + x^4*z0 + x^4*z1 - x^4 + z1^2)/x^3) * dx, z1^2/x^2 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x*z0 - x) * dx
-(x*z0 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((x^2*z1^2 + z0*z1^2 + z1^2)/x^3) * dx, (z0*z1^2 + z1^2)/x^2 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x*z0^2 - x*z1) * dx
-(x*z0^2 - x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((x^4*z0^2 - x^4*z0 - x^2*z0*z1^2 + x^4 - x^2*z1^2 + z0^2*z1^2 - z0*z1^2 + z1^2)/x^3) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 )
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x*z0^2 - x*z0 - x*z1 + x) * dx
-(x*z0^2 - x*z0 - x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-z0*z1^2 - z1^2)/x^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 )
-? (x^2*z1 - z0*z1^2 + z1^2)/x^3
-(x^2*z1 - z0*z1^2 + z1^2)/x^3 q r: 0 x^2*z1 - z0*z1^2 + z1^2
-if (x^2*z1 - z0*z1^2 + z1^2)/x^3 True
-hol_form ((-x^4 - z1^2 - z1)/x^2) * dx
-((-x^4 - z1^2 - z1)/x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [12], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:80, in coordinates(self, threshold, basis)
-
-File <string>:85, in coordinates(self, basis)
-
-File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
-    895 if mor is not None:
-    896     if no_extra_args:
---> 897         return mor._call_(x)
-    898     else:
-    899         return mor._call_with_args(x, args, kwds)
-
-File /ext/sage/9.7/src/sage/categories/map.pyx:788, in sage.categories.map.Map._call_()
-    786     return self._call_with_args(x, args, kwds)
-    787 
---> 788 cpdef Element _call_(self, x):
-    789     """
-    790     Call method with a single argument, not implemented in the base class.
-
-File /ext/sage/9.7/src/sage/rings/fraction_field.py:1254, in FractionFieldEmbeddingSection._call_(self, x, check)
-   1249     return num
-   1250 if check and not den.is_unit():
-   1251     # This should probably be a ValueError.
-   1252     # However, too much existing code is expecting this to throw a
-   1253     # TypeError, so we decided to keep it for the time being.
--> 1254     raise TypeError("fraction must have unit denominator")
-   1255 return num * den.inverse_of_unit()
-
-TypeError: fraction must have unit denominator
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: for i, f in enumerate(AS.cohomology_of_structure_sheaf_basis()):

-....:     for j, omega in enumerate(AS.holomorphic_differentials_basis()):

-....:         if (om.serre_duality_pairing(f)) != 0:

-....:             print(i, j)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l

-()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l

-[?7h[?12l[?25h[?25l[?7l

-()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l....:             print(i, j)

-....: [?7h[?12l[?25h[?25l[?7lsage: for i, f in enumerate(AS.cohomology_of_structure_sheaf_basis()):

-....:     for j, omega in enumerate(AS.holomorphic_differentials_basis()):

-....:         if (om.serre_duality_pairing(f)) != 0:

-....:             print(i, j)

-....: 

-[?7h[?12l[?25h[?2004l(0, 0, 2, 0, 0, 0, 0, 0, 0, 0)
-(0, 0, 0, 0, 0, 2, 0, 0, 0, 0)
-(0, 0, 0, 0, 2, 0, 0, 0, 0, 0)
-(0, 0, 0, 2, 0, 0, 0, 0, 0, 0)
-(0, 2, 2, 0, 0, 0, 0, 0, 0, 0)
-(2, 0, 2, 0, 0, 2, 0, 0, 0, 0)
-(0, 0, 0, 0, 0, 0, 0, 1, 0, 0)
-(0, 0, 0, 0, 0, 0, 0, 0, 2, 0)
-(0, 0, 0, 0, 0, 0, 2, 1, 0, 0)
-(0, 0, 0, 0, 0, 0, 0, 0, 0, 2)
----------------------------------------------------------------------------
-AttributeError                            Traceback (most recent call last)
-Input In [13], in <cell line: 1>()
-      1 for i, f in enumerate(AS.cohomology_of_structure_sheaf_basis()):
-      2     for j, omega in enumerate(AS.holomorphic_differentials_basis()):
-----> 3         if (om.serre_duality_pairing(f)) != Integer(0):
-      4             print(i, j)
-
-File <string>:117, in serre_duality_pairing(self, fct)
-
-File /ext/sage/9.7/src/sage/misc/functional.py:585, in symbolic_sum(expression, *args, **kwds)
-    583     return expression.sum(*args, **kwds)
-    584 elif max(len(args),len(kwds)) <= 1:
---> 585     return sum(expression, *args, **kwds)
-    586 else:
-    587     from sage.symbolic.ring import SR
-
-File <string>:117, in <genexpr>(.0)
-
-AttributeError: 'NoneType' object has no attribute 'residue'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lcohlogy_of_structure_hef_basis()[?7h[?12l[?25h[?25l[?7lh[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lmology_of_structure_sheaf_basis()[?7h[?12l[?25h[?25l[?7lsage: AS.cohomology_of_structure_sheaf_basis()

-[?7h[?12l[?25h[?2004l(0, 0, 2, 0, 0, 0, 0, 0, 0, 0)
-(0, 0, 0, 0, 0, 2, 0, 0, 0, 0)
-(0, 0, 0, 0, 2, 0, 0, 0, 0, 0)
-(0, 0, 0, 2, 0, 0, 0, 0, 0, 0)
-(0, 2, 2, 0, 0, 0, 0, 0, 0, 0)
-(2, 0, 2, 0, 0, 2, 0, 0, 0, 0)
-(0, 0, 0, 0, 0, 0, 0, 1, 0, 0)
-(0, 0, 0, 0, 0, 0, 0, 0, 2, 0)
-(0, 0, 0, 0, 0, 0, 2, 1, 0, 0)
-(0, 0, 0, 0, 0, 0, 0, 0, 0, 2)
-[?7h[z1/x,
- z1^2/x,
- z0*z1/x,
- z0*z1^2/x,
- z0^2*z1/x,
- z0^2*z1^2/x,
- z1^2/x^2,
- z0*z1^2/x^2,
- z0^2*z1^2/x^2,
- z0^2*z1^2/x^3]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.cohomology_of_structure_sheaf_basis()[?7h[?12l[?25h[?25l[?7l()[[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7lsage: AS.cohomology_of_structure_sheaf_basis()[1]

-[?7h[?12l[?25h[?2004l(0, 0, 2, 0, 0, 0, 0, 0, 0, 0)
-(0, 0, 0, 0, 0, 2, 0, 0, 0, 0)
-(0, 0, 0, 0, 2, 0, 0, 0, 0, 0)
-(0, 0, 0, 2, 0, 0, 0, 0, 0, 0)
-(0, 2, 2, 0, 0, 0, 0, 0, 0, 0)
-(2, 0, 2, 0, 0, 2, 0, 0, 0, 0)
-(0, 0, 0, 0, 0, 0, 0, 1, 0, 0)
-(0, 0, 0, 0, 0, 0, 0, 0, 2, 0)
-(0, 0, 0, 0, 0, 0, 2, 1, 0, 0)
-(0, 0, 0, 0, 0, 0, 0, 0, 0, 2)
-[?7hz1^2/x
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.cohomology_of_structure_sheaf_basis()[1][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l()[][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.cohomology_of_structure_sheaf_basis()[1][?7h[?12l[?25h[?25l[?7l AS.cohomology_of_structure_sheaf_basis()[1][?7h[?12l[?25h[?25l[?7l=AS.cohomology_of_structure_sheaf_basis()[1][?7h[?12l[?25h[?25l[?7l AS.cohomology_of_structure_sheaf_basis()[1][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: A = AS.cohomology_of_structure_sheaf_basis()[1]

-[?7h[?12l[?25h[?2004l(0, 0, 2, 0, 0, 0, 0, 0, 0, 0)
-(0, 0, 0, 0, 0, 2, 0, 0, 0, 0)
-(0, 0, 0, 0, 2, 0, 0, 0, 0, 0)
-(0, 0, 0, 2, 0, 0, 0, 0, 0, 0)
-(0, 2, 2, 0, 0, 0, 0, 0, 0, 0)
-(2, 0, 2, 0, 0, 2, 0, 0, 0, 0)
-(0, 0, 0, 0, 0, 0, 0, 1, 0, 0)
-(0, 0, 0, 0, 0, 0, 0, 0, 2, 0)
-(0, 0, 0, 0, 0, 0, 2, 1, 0, 0)
-(0, 0, 0, 0, 0, 0, 0, 0, 0, 2)
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lom.serre_duality_pairing(f)[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7l = AS.holomorphic_dfferentials_basis()[1][?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis()[1][?7h[?12l[?25h[?25l[?7lsage: om = AS.holomorphic_differentials_basis()[1]

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lom = AS.holomorphic_differentials_basis()[1][?7h[?12l[?25h[?25l[?7lm.serre_duality_pairng(f)[?7h[?12l[?25h[?25l[?7lserre_duality_pairing(f)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7lA)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7lsage: om.serre_duality_pairing(A)

-[?7h[?12l[?25h[?2004l[?7h0
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lom.serre_duality_pairing(A)[?7h[?12l[?25h[?25l[?7l = AS.holomorphic_dfferentials_basis()[1][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l2][?7h[?12l[?25h[?25l[?7lsage: om = AS.holomorphic_differentials_basis()[2]

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lom = AS.holomorphic_differentials_basis()[2][?7h[?12l[?25h[?25l[?7l.serre_duality_pairng(A)[?7h[?12l[?25h[?25l[?7lsage: om.serre_duality_pairing(A)

-[?7h[?12l[?25h[?2004l[?7h0
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lom.serre_duality_pairing(A)[?7h[?12l[?25h[?25l[?7l = AS.holomorphic_dfferentials_basis()[2][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l3][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7lsage: om = AS.holomorphic_differentials_basis()[3]

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: 

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lom = AS.holomorphic_differentials_basis()[3][?7h[?12l[?25h[?25l[?7l.serre_duality_pairng(A)[?7h[?12l[?25h[?25l[?7lsage: om.serre_duality_pairing(A)

-[?7h[?12l[?25h[?2004l[?7h0
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lom.serre_duality_pairing(A)[?7h[?12l[?25h[?25l[?7l = AS.holomorphic_dfferentials_basis()[3][?7h[?12l[?25h[?25l[?7l[];[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lduality_pairing[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: om = AS.holomorphic_differentials_basis()[3]; om.serre_duality_pairing(A)

-[?7h[?12l[?25h[?2004l[?7h0
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lom = AS.holomorphic_differentials_basis()[3]; om.serre_duality_pairing(A)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l()[][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l]; om.sere_duality_pairing(A)[?7h[?12l[?25h[?25l[?7l4]; om.sere_duality_pairing(A)[?7h[?12l[?25h[?25l[?7lsage: om = AS.holomorphic_differentials_basis()[4]; om.serre_duality_pairing(A)

-[?7h[?12l[?25h[?2004l[?7h0
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA = AS.cohomology_of_structure_sheaf_basis()[1][?7h[?12l[?25h[?25l[?7lS.cohomlgy_f_strucure_shaf_bsis()[1][?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lhlrphic_differential_bsis()[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7llomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lmorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lsage: AS.holomorphic_differentials_basis()

-[?7h[?12l[?25h[?2004l[?7h[(1) * dx,
- (z1) * dx,
- (x^2*z0 + z0^2*z1 + z1^2) * dx,
- (z0) * dx,
- (z0*z1) * dx,
- (z0^2) * dx,
- (x) * dx,
- (-x*z0^2 + x*z1) * dx,
- (x*z0) * dx,
- (x^2) * dx]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lom = AS.holomorphic_differentils_basis()[4]; om.serre_duality_pairing(A)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l()[][?7h[?12l[?25h[?25l[?7l()[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l]; om.sere_duality_pairing(A)[?7h[?12l[?25h[?25l[?7l5]; om.sere_duality_pairing(A)[?7h[?12l[?25h[?25l[?7lsage: om = AS.holomorphic_differentials_basis()[5]; om.serre_duality_pairing(A)

-[?7h[?12l[?25h[?2004l[?7h2
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lom = AS.holomorphic_differentials_basis()[5]; om.serre_duality_pairing(A)[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_bsis()[?7h[?12l[?25h[?25l[?7lom = AS.holomorphic_differentils_basis()[4]; om.serre_duality_pairing(A)[?7h[?12l[?25h[?25l[?7l3[?7h[?12l[?25h[?25l[?7l.serre_duality_pairng(A)[?7h[?12l[?25h[?25l[?7l = AS.holomorphic_dfferentials_basis()[3][?7h[?12l[?25h[?25l[?7l.serre_duality_pairng(A)[?7h[?12l[?25h[?25l[?7l = AS.holomorphic_dfferentials_basis()[2][?7h[?12l[?25h[?25l[?7l.serre_duality_pairng(A)[?7h[?12l[?25h[?25l[?7l = AS.holomorphic_dfferentials_basis()[1][?7h[?12l[?25h[?25l[?7lA = AS.cohomology_of_structure_sheaf_basis()[1][?7h[?12l[?25h[?25l[?7lS.cohomlgy_f_strucure_shaf_bsis()[1][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: for i, f in enumerate(AS.cohomology_of_structure_sheaf_basis()):

-....:     for j, omega in enumerate(AS.holomorphic_differentials_basis()):

-....:         if (om.serre_duality_pairing(f)) != 0:

-....:             print(i, j)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')

- 

- 

- [?7h[?12l[?25h[?25l[?7lfor i, f in enumerate(AS.cohomology_of_structure_sheaf_basis()):

-....:     for j, omega in enumerate(AS.holomorphic_differentials_basis()):

-....:         if (om.serre_duality_pairing(f)) != 0:

-....:             print(i, j)[?7h[?12l[?25h[?25l[?7lload('init.sage')

- 

- 

- [?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004lTraceback (most recent call last):
-
-  File /ext/sage/9.7/local/var/lib/sage/venv-python3.10.5/lib/python3.10/site-packages/IPython/core/interactiveshell.py:3398 in run_code
-    exec(code_obj, self.user_global_ns, self.user_ns)
-
-  Input In [27] in <cell line: 1>
-    load('init.sage')
-
-  File sage/misc/persist.pyx:175 in sage.misc.persist.load
-    sage.repl.load.load(filename, globals())
-
-  File /ext/sage/9.7/src/sage/repl/load.py:272 in load
-    exec(preparse_file(f.read()) + "\n", globals)
-
-  File <string>:8 in <module>
-
-  File sage/misc/persist.pyx:175 in sage.misc.persist.load
-    sage.repl.load.load(filename, globals())
-
-  File /ext/sage/9.7/src/sage/repl/load.py:272 in load
-    exec(preparse_file(f.read()) + "\n", globals)
-
-  File <string>:68
-    print('products:' [omega.serre_duality_pairing(self.f) for omega in AS.holomorphic_differentials_basis()])
-          ^
-SyntaxError: invalid syntax. Perhaps you forgot a comma?
-
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-nowe!!!! ( (1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (1) * dx
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (z1) * dx
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0 + 1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (z0 + 1) * dx
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0*z1 + z1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (z0*z1 + z1) * dx
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0^2 - z0 + 1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (z0^2 - z0 + 1) * dx
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x) * dx
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (-x*z0^2 + x*z0 + x*z1 - x) * dx
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x*z0 + x) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x*z0 + x) * dx
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-x^4 - z1)/x^2) * dx, z1/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-z1^2)/x^2) * dx, z1^2/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((x^2*z1 - z0*z1 - z1)/x^2) * dx, (z0*z1 + z1)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((x^4*z0 + x^2*z0^2*z1 + x^4 - x^2*z0*z1 + x^2*z1^2 + x^2*z1 - z0*z1^2 - z1^2)/x^2) * dx, (z0*z1^2 + z1^2)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2 - z0*z1 + z1) * dx
-(x^2 - z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-x^2*z0*z1 - x^2*z1 - z0^2*z1 + z0*z1 - z1)/x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-z0^2*z1^2 + z0*z1^2 - z1^2)/x^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2*z0 + z0^2*z1 + z1^2) * dx
-(x^2*z0 + z0^2*z1 + z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-x^4*z0^2 + x^4*z0 + x^4*z1 - x^4 + z1^2)/x^3) * dx, z1^2/x^2 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x*z0 - x) * dx
-(x*z0 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((x^2*z1^2 + z0*z1^2 + z1^2)/x^3) * dx, (z0*z1^2 + z1^2)/x^2 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x*z0^2 - x*z1) * dx
-(x*z0^2 - x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((x^4*z0^2 - x^4*z0 - x^2*z0*z1^2 + x^4 - x^2*z1^2 + z0^2*z1^2 - z0*z1^2 + z1^2)/x^3) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x*z0^2 - x*z0 - x*z1 + x) * dx
-(x*z0^2 - x*z0 - x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( ((-z0*z1^2 - z1^2)/x^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? (x^2*z1 - z0*z1^2 + z1^2)/x^3
-(x^2*z1 - z0*z1^2 + z1^2)/x^3 q r: 0 x^2*z1 - z0*z1^2 + z1^2
-if (x^2*z1 - z0*z1^2 + z1^2)/x^3 True
-hol_form ((-x^4 - z1^2 - z1)/x^2) * dx
-((-x^4 - z1^2 - z1)/x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [28], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:81, in coordinates(self, threshold, basis)
-
-File <string>:85, in coordinates(self, basis)
-
-File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
-    895 if mor is not None:
-    896     if no_extra_args:
---> 897         return mor._call_(x)
-    898     else:
-    899         return mor._call_with_args(x, args, kwds)
-
-File /ext/sage/9.7/src/sage/categories/map.pyx:788, in sage.categories.map.Map._call_()
-    786     return self._call_with_args(x, args, kwds)
-    787 
---> 788 cpdef Element _call_(self, x):
-    789     """
-    790     Call method with a single argument, not implemented in the base class.
-
-File /ext/sage/9.7/src/sage/rings/fraction_field.py:1254, in FractionFieldEmbeddingSection._call_(self, x, check)
-   1249     return num
-   1250 if check and not den.is_unit():
-   1251     # This should probably be a ValueError.
-   1252     # However, too much existing code is expecting this to throw a
-   1253     # TypeError, so we decided to keep it for the time being.
--> 1254     raise TypeError("fraction must have unit denominator")
-   1255 return num * den.inverse_of_unit()
-
-TypeError: fraction must have unit denominator
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ldR = AS.de_rham_basis(threshold = 20)[?7h[?12l[?25h[?25l[?7le_rham_coodinate(AS, dR[0])[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7lh[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7lbasis(AS)[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7lis(AS)[?7h[?12l[?25h[?25l[?7lsage: de_rham_basis(AS)

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-NameError                                 Traceback (most recent call last)
-Input In [29], in <cell line: 1>()
-----> 1 de_rham_basis(AS)
-
-NameError: name 'de_rham_basis' is not defined
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lde_rham_basis(AS)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAde_rham_basis()[?7h[?12l[?25h[?25l[?7lSde_rham_basis()[?7h[?12l[?25h[?25l[?7l.de_rham_basis()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: AS.de_rham_basis()

-[?7h[?12l[?25h[?2004lz1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-[?7h[( (1) * dx, 0 ),
- ( (z1) * dx, 0 ),
- ( (x^2*z0 + z0^2*z1 + z1^2) * dx, 0 ),
- ( (z0) * dx, 0 ),
- ( (z0*z1) * dx, 0 ),
- ( (z0^2) * dx, 0 ),
- ( (x) * dx, 0 ),
- ( (-x*z0^2 + x*z1) * dx, 0 ),
- ( (x*z0) * dx, 0 ),
- ( (x^2) * dx, 0 ),
- ( ((-x^4 - z1)/x^2) * dx, z1/x ),
- ( ((-z1^2)/x^2) * dx, z1^2/x ),
- ( ((x^2*z1 - z0*z1)/x^2) * dx, z0*z1/x ),
- ( ((x^4*z0 + x^2*z0^2*z1 + x^2*z1^2 - z0*z1^2)/x^2) * dx, z0*z1^2/x ),
- ( ((-x^2*z0*z1 - z0^2*z1)/x^2) * dx, z0^2*z1/x ),
- ( ((-z0^2*z1^2)/x^2) * dx, z0^2*z1^2/x ),
- ( ((-x^4*z0^2 + x^4*z1 + z1^2)/x^3) * dx, z1^2/x^2 ),
- ( ((x^2*z1^2 + z0*z1^2)/x^3) * dx, z0*z1^2/x^2 ),
- ( ((x^4*z0^2 - x^2*z0*z1^2 + z0^2*z1^2)/x^3) * dx, z0^2*z1^2/x^2 ),
- ( ((-z0*z1^2)/x^2) * dx, z0^2*z1^2/x^3 )]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.de_rham_basis()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lgnus()[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: AS.genus()

-[?7h[?12l[?25h[?2004l[?7h10
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-nowe!!!! ( (1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (1) * dx
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (z1) * dx
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0 + 1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (z0 + 1) * dx
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0*z1 + z1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (z0*z1 + z1) * dx
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0^2 - z0 + 1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (z0^2 - z0 + 1) * dx
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x) * dx
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (-x*z0^2 + x*z0 + x*z1 - x) * dx
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x*z0 + x) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x*z0 + x) * dx
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (0) * dx, z1/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x^2*z1) * dx, z1^2/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2*z0 + x^2) * dx, (z0*z1 + z1)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x^2*z0*z1 + x^2*z0 - x^2*z1 + z0^2*z1 + x^2 - z0*z1 + z1) * dx, (z0*z1^2 + z1^2)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2 - z0*z1 + z1) * dx
-(x^2 - z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2*z0^2 - x^2*z0 + x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x^2*z0^2*z1 + x^2*z0*z1 - x^2*z1 + z0*z1^2 + z1^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2*z0 + z0^2*z1 + z1^2) * dx
-(x^2*z0 + z0^2*z1 + z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0^2 + x*z0 - x) * dx, z1^2/x^2 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x*z0 - x) * dx
-(x*z0 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0*z1 - x*z1) * dx, (z0*z1^2 + z1^2)/x^2 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x*z0^2 - x*z1) * dx
-(x*z0^2 - x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0^2*z1 + x*z0^2 + x*z0*z1 - x*z0 - x*z1 + x) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x*z0^2 - x*z0 - x*z1 + x) * dx
-(x*z0^2 - x*z0 - x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-z0^2*z1 + z0*z1 - z1) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? (x^2*z1 - z0*z1^2 + z1^2)/x^3
-(x^2*z1 - z0*z1^2 + z1^2)/x^3 q r: 0 x^2*z1 - z0*z1^2 + z1^2
-if (x^2*z1 - z0*z1^2 + z1^2)/x^3 True
-hol_form (z0*z1 - z1) * dx
-(z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (1) * dx
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z1 + 1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (z1 + 1) * dx
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (z0) * dx
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0*z1 + z0) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (z0*z1 + z0) * dx
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0^2) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (z0^2) * dx
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x) * dx
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0^2 + x*z1 + x) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (-x*z0^2 + x*z1 + x) * dx
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x*z0) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x*z0) * dx
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (0) * dx, (z1 + 1)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 1/x
-1/x q r: 0 1
-if 1/x True
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x^2*z1 - x^2) * dx, (z1^2 - z1 + 1)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 1/x
-1/x q r: 0 1
-if 1/x True
-hol_form (-x^2) * dx
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2*z0) * dx, (z0*z1 + z0)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? z0/x
-z0/x q r: 0 z0
-if z0/x True
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x^2*z0*z1 + z0^2*z1 + z0^2) * dx, (z0*z1^2 - z0*z1 + z0)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? z0/x
-z0/x q r: 0 z0
-if z0/x True
-hol_form (z0^2) * dx
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2*z0^2) * dx, (z0^2*z1 + z0^2)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? (z0^2 - z1)/x
-(z0^2 - z1)/x q r: 0 z0^2 - z1
-if (z0^2 - z1)/x True
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x^2*z0^2*z1 - x^2*z0^2 + z0*z1^2 - z0*z1 + z0) * dx, (z0^2*z1^2 - z0^2*z1 + z0^2)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? (z0^2 - z1)/x
-(z0^2 - z1)/x q r: 0 z0^2 - z1
-if (z0^2 - z1)/x True
-hol_form (-z0*z1 + z0) * dx
-(-z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0^2) * dx, (z1^2 - z1 + 1)/x^2 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? (-z1 + 1)/x^2
-(-z1 + 1)/x^2 q r: 0 -z1 + 1
-if (-z1 + 1)/x^2 True
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0*z1 - x*z0) * dx, (z0*z1^2 - z0*z1 + z0)/x^2 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? (-z0*z1 + z0)/x^2
-(-z0*z1 + z0)/x^2 q r: 0 -z0*z1 + z0
-if (-z0*z1 + z0)/x^2 True
-hol_form (-x*z0) * dx
-(-x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0^2*z1) * dx, (z0^2*z1^2 - z0^2*z1 + z0^2)/x^2 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? (-z0^2*z1 + z0^2 - z1^2)/x^2
-(-z0^2*z1 + z0^2 - z1^2)/x^2 q r: 0 -z0^2*z1 + z0^2 - z1^2
-if (-z0^2*z1 + z0^2 - z1^2)/x^2 False
----------------------------------------------------------------------------
-ValueError                                Traceback (most recent call last)
-Input In [32], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:82, in coordinates(self, threshold, basis)
-
-ValueError: I arrived at a form (omega, 0), in which omega is not regular on U0. I hoped this wouldn t happen.
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-nowe!!!! ( (1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (1) * dx
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (z1) * dx
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0 + 1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (z0 + 1) * dx
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0*z1 + z1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (z0*z1 + z1) * dx
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0^2 - z0 + 1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (z0^2 - z0 + 1) * dx
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x) * dx
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (-x*z0^2 + x*z0 + x*z1 - x) * dx
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x*z0 + x) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x*z0 + x) * dx
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (0) * dx, z1/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x^2*z1) * dx, z1^2/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2*z0 + x^2) * dx, (z0*z1 + z1)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x^2*z0*z1 + x^2*z0 - x^2*z1 + z0^2*z1 + x^2 - z0*z1 + z1) * dx, (z0*z1^2 + z1^2)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2 - z0*z1 + z1) * dx
-(x^2 - z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2*z0^2 - x^2*z0 + x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x^2*z0^2*z1 + x^2*z0*z1 - x^2*z1 + z0*z1^2 + z1^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2*z0 + z0^2*z1 + z1^2) * dx
-(x^2*z0 + z0^2*z1 + z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0^2 + x*z0 - x) * dx, z1^2/x^2 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x*z0 - x) * dx
-(x*z0 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0*z1 - x*z1) * dx, (z0*z1^2 + z1^2)/x^2 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x*z0^2 - x*z1) * dx
-(x*z0^2 - x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0^2*z1 + x*z0^2 + x*z0*z1 - x*z0 - x*z1 + x) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x*z0^2 - x*z0 - x*z1 + x) * dx
-(x*z0^2 - x*z0 - x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-z0^2*z1 + z0*z1 - z1) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? (x^2*z1 - z0*z1^2 + z1^2)/x^3
-(x^2*z1 - z0*z1^2 + z1^2)/x^3 q r: 0 x^2*z1 - z0*z1^2 + z1^2
-if (x^2*z1 - z0*z1^2 + z1^2)/x^3 True
-hol_form (z0*z1 - z1) * dx
-(z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (1) * dx
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z1 + 1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (z1 + 1) * dx
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (z0) * dx
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0*z1 + z0) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (z0*z1 + z0) * dx
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0^2) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (z0^2) * dx
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x) * dx
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0^2 + x*z1 + x) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (-x*z0^2 + x*z1 + x) * dx
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x*z0) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x*z0) * dx
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (0) * dx, (z1 + 1)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 1/x
-1/x q r: 0 1
-if 1/x True
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x^2*z1 - x^2) * dx, (z1^2 - z1 + 1)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 1/x
-1/x q r: 0 1
-if 1/x True
-hol_form (-x^2) * dx
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2*z0) * dx, (z0*z1 + z0)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? z0/x
-z0/x q r: 0 z0
-if z0/x True
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x^2*z0*z1 + z0^2*z1 + z0^2) * dx, (z0*z1^2 - z0*z1 + z0)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? z0/x
-z0/x q r: 0 z0
-if z0/x True
-hol_form (z0^2) * dx
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2*z0^2) * dx, (z0^2*z1 + z0^2)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? (z0^2 - z1)/x
-(z0^2 - z1)/x q r: 0 z0^2 - z1
-if (z0^2 - z1)/x True
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x^2*z0^2*z1 - x^2*z0^2 + z0*z1^2 - z0*z1 + z0) * dx, (z0^2*z1^2 - z0^2*z1 + z0^2)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? (z0^2 - z1)/x
-(z0^2 - z1)/x q r: 0 z0^2 - z1
-if (z0^2 - z1)/x True
-hol_form (-z0*z1 + z0) * dx
-(-z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0^2) * dx, (z1^2 - z1 + 1)/x^2 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? (-z1 + 1)/x^2
-(-z1 + 1)/x^2 q r: 0 -z1 + 1
-if (-z1 + 1)/x^2 True
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0*z1 - x*z0) * dx, (z0*z1^2 - z0*z1 + z0)/x^2 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? (-z0*z1 + z0)/x^2
-(-z0*z1 + z0)/x^2 q r: 0 -z0*z1 + z0
-if (-z0*z1 + z0)/x^2 True
-hol_form (-x*z0) * dx
-(-x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0^2*z1) * dx, (z0^2*z1^2 - z0^2*z1 + z0^2)/x^2 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? (-z0^2*z1 + z0^2 - z1^2)/x^2
-(-z0^2*z1 + z0^2 - z1^2)/x^2 q r: 0 -z0^2*z1 + z0^2 - z1^2
-if (-z0^2*z1 + z0^2 - z1^2)/x^2 False
----------------------------------------------------------------------------
-ValueError                                Traceback (most recent call last)
-Input In [33], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:82, in coordinates(self, threshold, basis)
-
-ValueError: I arrived at a form (omega, 0), in which omega is not regular on U0. I hoped this wouldn t happen.
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.genus()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lholomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7llomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lmorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7l().[?7h[?12l[?25h[?25l[?7lg[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[].[?7h[?12l[?25h[?25l[?7lg[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lon[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l].group_action[?7h[?12l[?25h[?25l[?7l1].group_action[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[)[?7h[?12l[?25h[?25l[?7l])[?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l1])[?7h[?12l[?25h[?25l[?7l,])[?7h[?12l[?25h[?25l[?7l ])[?7h[?12l[?25h[?25l[?7l0])[?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: AS.holomorphic_differentials_basis()[1].group_action([1, 0])

-[?7h[?12l[?25h[?2004l[?7h(z1) * dx
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis()[1].group_action([1, 0])[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l])[?7h[?12l[?25h[?25l[?7l])[?7h[?12l[?25h[?25l[?7l])[?7h[?12l[?25h[?25l[?7l])[?7h[?12l[?25h[?25l[?7l0])[?7h[?12l[?25h[?25l[?7l,])[?7h[?12l[?25h[?25l[?7l ])[?7h[?12l[?25h[?25l[?7l1])[?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: AS.holomorphic_differentials_basis()[1].group_action([0, 1])

-[?7h[?12l[?25h[?2004l[?7h(z1 + 1) * dx
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis()[1].group_action([0, 1])[?7h[?12l[?25h[?25l[?7l10[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-nowe!!!! ( (1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (1) * dx
-hol_form (1) * dx
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (z1) * dx
-hol_form (z1) * dx
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx
-hol_form (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0 + 1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (z0 + 1) * dx
-hol_form (z0 + 1) * dx
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0*z1 + z1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (z0*z1 + z1) * dx
-hol_form (z0*z1 + z1) * dx
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0^2 - z0 + 1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (z0^2 - z0 + 1) * dx
-hol_form (z0^2 - z0 + 1) * dx
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x) * dx
-hol_form (x) * dx
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (-x*z0^2 + x*z0 + x*z1 - x) * dx
-hol_form (-x*z0^2 + x*z0 + x*z1 - x) * dx
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x*z0 + x) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x*z0 + x) * dx
-hol_form (x*z0 + x) * dx
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x^2) * dx
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (0) * dx, z1/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (0) * dx
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x^2*z1) * dx, z1^2/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (0) * dx
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2*z0 + x^2) * dx, (z0*z1 + z1)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x^2) * dx
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x^2*z0*z1 + x^2*z0 - x^2*z1 + z0^2*z1 + x^2 - z0*z1 + z1) * dx, (z0*z1^2 + z1^2)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x^2 - z0*z1 + z1) * dx
-hol_form (x^2 - z0*z1 + z1) * dx
-(x^2 - z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2*z0^2 - x^2*z0 + x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x^2) * dx
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x^2*z0^2*z1 + x^2*z0*z1 - x^2*z1 + z0*z1^2 + z1^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x^2*z0 + z0^2*z1 + z1^2) * dx
-hol_form (x^2*z0 + z0^2*z1 + z1^2) * dx
-(x^2*z0 + z0^2*z1 + z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0^2 + x*z0 - x) * dx, z1^2/x^2 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x*z0 - x) * dx
-hol_form (x*z0 - x) * dx
-(x*z0 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0*z1 - x*z1) * dx, (z0*z1^2 + z1^2)/x^2 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x*z0^2 - x*z1) * dx
-hol_form (x*z0^2 - x*z1) * dx
-(x*z0^2 - x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0^2*z1 + x*z0^2 + x*z0*z1 - x*z0 - x*z1 + x) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x*z0^2 - x*z0 - x*z1 + x) * dx
-hol_form (x*z0^2 - x*z0 - x*z1 + x) * dx
-(x*z0^2 - x*z0 - x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-z0^2*z1 + z0*z1 - z1) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? (x^2*z1 - z0*z1^2 + z1^2)/x^3
-(x^2*z1 - z0*z1^2 + z1^2)/x^3 q r: 0 x^2*z1 - z0*z1^2 + z1^2
-if (x^2*z1 - z0*z1^2 + z1^2)/x^3 True
-omega - df ((x^4 - x^2*z0*z1 + x^2*z1 + z1^2 + z1)/x^2) * dx
-hol_form (z0*z1 - z1) * dx
-(z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (1) * dx
-hol_form (1) * dx
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z1 + 1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (z1 + 1) * dx
-hol_form (z1 + 1) * dx
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx
-hol_form (x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (z0) * dx
-hol_form (z0) * dx
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0*z1 + z0) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (z0*z1 + z0) * dx
-hol_form (z0*z1 + z0) * dx
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0^2) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (z0^2) * dx
-hol_form (z0^2) * dx
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x) * dx
-hol_form (x) * dx
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0^2 + x*z1 + x) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (-x*z0^2 + x*z1 + x) * dx
-hol_form (-x*z0^2 + x*z1 + x) * dx
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x*z0) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x*z0) * dx
-hol_form (x*z0) * dx
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x^2) * dx
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (0) * dx, (z1 + 1)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 1/x
-1/x q r: 0 1
-if 1/x True
-omega - df (1/x^2) * dx
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x^2*z1 - x^2) * dx, (z1^2 - z1 + 1)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 1/x
-1/x q r: 0 1
-if 1/x True
-omega - df ((-x^4 + 1)/x^2) * dx
-hol_form (-x^2) * dx
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2*z0) * dx, (z0*z1 + z0)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? z0/x
-z0/x q r: 0 z0
-if z0/x True
-omega - df ((-x^2 + z0)/x^2) * dx
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x^2*z0*z1 + z0^2*z1 + z0^2) * dx, (z0*z1^2 - z0*z1 + z0)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? z0/x
-z0/x q r: 0 z0
-if z0/x True
-omega - df ((x^2*z0^2 - x^2 + z0)/x^2) * dx
-hol_form (z0^2) * dx
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2*z0^2) * dx, (z0^2*z1 + z0^2)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? (z0^2 - z1)/x
-(z0^2 - z1)/x q r: 0 z0^2 - z1
-if (z0^2 - z1)/x True
-omega - df ((-x^4 + x^2*z0 + z0^2 - z1)/x^2) * dx
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x^2*z0^2*z1 - x^2*z0^2 + z0*z1^2 - z0*z1 + z0) * dx, (z0^2*z1^2 - z0^2*z1 + z0^2)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? (z0^2 - z1)/x
-(z0^2 - z1)/x q r: 0 z0^2 - z1
-if (z0^2 - z1)/x True
-omega - df ((-x^4 - x^2*z0*z1 - x^2*z0 + z0^2 - z1)/x^2) * dx
-hol_form (-z0*z1 + z0) * dx
-(-z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0^2) * dx, (z1^2 - z1 + 1)/x^2 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? (-z1 + 1)/x^2
-(-z1 + 1)/x^2 q r: 0 -z1 + 1
-if (-z1 + 1)/x^2 True
-omega - df ((-x^4 + z1 - 1)/x^3) * dx
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0*z1 - x*z0) * dx, (z0*z1^2 - z0*z1 + z0)/x^2 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? (-z0*z1 + z0)/x^2
-(-z0*z1 + z0)/x^2 q r: 0 -z0*z1 + z0
-if (-z0*z1 + z0)/x^2 True
-omega - df ((x^4*z0 + x^2*z1 - x^2 + z0*z1 - z0)/x^3) * dx
-hol_form (-x*z0) * dx
-(-x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0^2*z1) * dx, (z0^2*z1^2 - z0^2*z1 + z0^2)/x^2 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? (-z0^2*z1 + z0^2 - z1^2)/x^2
-(-z0^2*z1 + z0^2 - z1^2)/x^2 q r: 0 -z0^2*z1 + z0^2 - z1^2
-if (-z0^2*z1 + z0^2 - z1^2)/x^2 False
-omega - df ((-x^4*z0^2 + x^4*z1 - x^2*z0*z1 + x^2*z0 + z0^2*z1 - z0^2 + z1^2)/x^3) * dx
----------------------------------------------------------------------------
-ValueError                                Traceback (most recent call last)
-Input In [36], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:83, in coordinates(self, threshold, basis)
-
-ValueError: I arrived at a form (omega, 0), in which omega is not regular on U0. I hoped this wouldn t happen.
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis()[1].group_action([0, 1])[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lde_rham_basis()[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7l_rham_basis()[?7h[?12l[?25h[?25l[?7lsage: AS.de_rham_basis()

-[?7h[?12l[?25h[?2004lz1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-[?7h[( (1) * dx, 0 ),
- ( (z1) * dx, 0 ),
- ( (x^2*z0 + z0^2*z1 + z1^2) * dx, 0 ),
- ( (z0) * dx, 0 ),
- ( (z0*z1) * dx, 0 ),
- ( (z0^2) * dx, 0 ),
- ( (x) * dx, 0 ),
- ( (-x*z0^2 + x*z1) * dx, 0 ),
- ( (x*z0) * dx, 0 ),
- ( (x^2) * dx, 0 ),
- ( (0) * dx, z1/x ),
- ( (-x^2*z1) * dx, z1^2/x ),
- ( (x^2*z0) * dx, z0*z1/x ),
- ( (-x^2*z0*z1 + x^2*z0 + z0^2*z1) * dx, z0*z1^2/x ),
- ( (x^2*z0^2) * dx, z0^2*z1/x ),
- ( (-x^2*z0^2*z1 + z0*z1^2) * dx, z0^2*z1^2/x ),
- ( (-x*z0^2) * dx, z1^2/x^2 ),
- ( (-x*z0*z1) * dx, z0*z1^2/x^2 ),
- ( (-x*z0^2*z1 + x*z0^2) * dx, z0^2*z1^2/x^2 ),
- ( (-z0^2*z1) * dx, z0^2*z1^2/x^3 )]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.de_rham_basis()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.de_rham_basis()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lomAS.de_rham_bais()[?7h[?12l[?25h[?25l[?7l,AS.de_rham_basis()[?7h[?12l[?25h[?25l[?7l AS.de_rham_basis()[?7h[?12l[?25h[?25l[?7lfAS.de_rham_basis()[?7h[?12l[?25h[?25l[?7l AS.de_rham_basis()[?7h[?12l[?25h[?25l[?7l=AS.de_rham_basis()[?7h[?12l[?25h[?25l[?7l AS.de_rham_basis()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[[?7h[?12l[?25h[?25l[?7l16[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7lsage: om, f = AS.de_rham_basis()[16]

-[?7h[?12l[?25h[?2004lz1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [38], in <cell line: 1>()
-----> 1 om, f = AS.de_rham_basis()[Integer(16)]
-
-TypeError: cannot unpack non-iterable as_cech object
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lom, f = AS.de_rham_basis()[16][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l= AS.de_rham_basis()[16][?7h[?12l[?25h[?25l[?7l= AS.de_rham_basis()[16][?7h[?12l[?25h[?25l[?7l= AS.de_rham_basis()[16][?7h[?12l[?25h[?25l[?7l= AS.de_rham_basis()[16][?7h[?12l[?25h[?25l[?7l= AS.de_rham_basis()[16][?7h[?12l[?25h[?25l[?7l= AS.de_rham_basis()[16][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lc= AS.de_rham_basis()[16][?7h[?12l[?25h[?25l[?7lc= AS.de_rham_basis()[16][?7h[?12l[?25h[?25l[?7l = AS.de_rham_basis()[16][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: cc = AS.de_rham_basis()[16]

-[?7h[?12l[?25h[?2004lz1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lcc = AS.de_rham_basis()[16][?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l[0][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l-[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[].[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7liffn[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: cc[0] - cc[1].diffn()

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [40], in <cell line: 1>()
-----> 1 cc[Integer(0)] - cc[Integer(1)].diffn()
-
-TypeError: 'as_cech' object is not subscriptable
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lcc[0] - cc[1].diffn()[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7lsage: cc

-[?7h[?12l[?25h[?2004l[?7h( (-x*z0^2) * dx, z1^2/x^2 )
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lcc[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[0] - cc[1].diffn()[?7h[?12l[?25h[?25l[?7l = AS.de_rham_basis()[16][?7h[?12l[?25h[?25l[?7l[0] - cc[1].diffn()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[ - c[1].difn()[?7h[?12l[?25h[?25l[?7l - c[1].difn()[?7h[?12l[?25h[?25l[?7l - c[1].difn()[?7h[?12l[?25h[?25l[?7l. - c[1].difn()[?7h[?12l[?25h[?25l[?7lom- cc[1].diffn()[?7h[?12l[?25h[?25l[?7le - c[1].difn()[?7h[?12l[?25h[?25l[?7lg - c[1].difn()[?7h[?12l[?25h[?25l[?7la - c[1].difn()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[1.difn()[?7h[?12l[?25h[?25l[?7l.difn()[?7h[?12l[?25h[?25l[?7l.difn()[?7h[?12l[?25h[?25l[?7l.difn()[?7h[?12l[?25h[?25l[?7lf.difn()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: cc.omega - cc.f.diffn()

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-AttributeError                            Traceback (most recent call last)
-Input In [42], in <cell line: 1>()
-----> 1 cc.omega - cc.f.diffn()
-
-AttributeError: 'as_cech' object has no attribute 'omega'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lcc.omega - cc.f.diffn()[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7lsage: cc

-[?7h[?12l[?25h[?2004l[?7h( (-x*z0^2) * dx, z1^2/x^2 )
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lcc[?7h[?12l[?25h[?25l[?7l.omega - cc.f.diffn()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l0 - c.f.difn()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: cc.omega0 - cc.f.diffn()

-[?7h[?12l[?25h[?2004l[?7h((-x^4*z0^2 - x^4*z1 - z1^2)/x^3) * dx
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lcc.omega0 - cc.f.diffn()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(c.omega0 - c.f.difn()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l().[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7ly[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: (cc.omega0 - cc.f.diffn()).expansion_at_infty()

-[?7h[?12l[?25h[?2004l[?7h2*t^-3 + t + 2*t^9 + t^13 + t^21 + 2*t^25 + t^29 + 2*t^45 + t^49 + 2*t^61 + 2*t^65 + 2*t^69 + t^73 + t^85 + 2*t^93 + t^97 + t^113 + t^121 + t^129 + 2*t^133 + t^137 + t^141 + 2*t^153 + t^157 + 2*t^169 + 2*t^173 + 2*t^177 + t^189 + t^193 + 2*t^201 + 2*t^205 + t^217 + 2*t^221 + 2*t^225 + 2*t^229 + t^237 + t^241 + 2*t^249 + t^265 + 2*t^273 + t^277 + t^289 + 2*t^297 + t^301 + 2*t^309 + t^313 + t^325 + 2*t^333 + t^345 + t^349 + 2*t^353 + t^357 + t^361 + t^365 + t^373 + 2*t^385 + 2*t^389 + t^397 + t^421 + 2*t^433 + t^437 + t^441 + t^445 + t^453 + t^457 + t^461 + t^465 + 2*t^477 + t^481 + 2*t^489 + 2*t^493 + 2*t^501 + 2*t^505 + t^513 + t^517 + 2*t^525 + 2*t^537 + t^541 + 2*t^545 + 2*t^549 + 2*t^561 + t^565 + t^569 + 2*t^573 + t^577 + t^585 + t^589 + 2*t^597 + 2*t^601 + t^609 + t^613 + 2*t^621 + t^625 + 2*t^633 + t^637 + 2*t^645 + 2*t^649 + t^657 + t^661 + 2*t^669 + t^685 + 2*t^689 + 2*t^693 + 2*t^697 + t^705 + t^709 + 2*t^717 + 2*t^721 + t^729 + t^733 + 2*t^741 + 2*t^745 + t^757 + 2*t^765 + 2*t^777 + t^781 + t^785 + 2*t^789 + 2*t^793 + t^805 + 2*t^813 + t^817 + t^829 + 2*t^837 + t^853 + 2*t^861 + t^877 + 2*t^885 + 2*t^897 + t^901 + 2*t^909 + t^913 + t^921 + t^925 + t^929 + 2*t^933 + 2*t^945 + t^949 + 2*t^957 + 2*t^961 + O(t^969)
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ls.coefficient_matrix()[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-omega val 0
-z1^2/x
-omega val 12
-z0*z1/x
-omega val 6
-z0*z1^2/x
-omega val 2
-z0^2*z1/x
-omega val 0
-z0^2*z1^2/x
-omega val 0
-z1^2/x^2
-omega val 1
-z0*z1^2/x^2
-omega val 3
-z0^2*z1^2/x^2
-omega val 1
-z0^2*z1^2/x^3
-omega val 6
-nowe!!!! ( (1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (1) * dx
-hol_form (1) * dx
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (z1) * dx
-hol_form (z1) * dx
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx
-hol_form (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0 + 1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (z0 + 1) * dx
-hol_form (z0 + 1) * dx
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0*z1 + z1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (z0*z1 + z1) * dx
-hol_form (z0*z1 + z1) * dx
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0^2 - z0 + 1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (z0^2 - z0 + 1) * dx
-hol_form (z0^2 - z0 + 1) * dx
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x) * dx
-hol_form (x) * dx
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (-x*z0^2 + x*z0 + x*z1 - x) * dx
-hol_form (-x*z0^2 + x*z0 + x*z1 - x) * dx
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x*z0 + x) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x*z0 + x) * dx
-hol_form (x*z0 + x) * dx
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x^2) * dx
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (0) * dx, z1/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (0) * dx
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x^2*z1) * dx, z1^2/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (0) * dx
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2*z0 + x^2) * dx, (z0*z1 + z1)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x^2) * dx
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x^2*z0*z1 + x^2*z0 - x^2*z1 + z0^2*z1 + x^2 - z0*z1 + z1) * dx, (z0*z1^2 + z1^2)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x^2 - z0*z1 + z1) * dx
-hol_form (x^2 - z0*z1 + z1) * dx
-(x^2 - z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2*z0^2 - x^2*z0 + x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x^2) * dx
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x^2*z0^2*z1 + x^2*z0*z1 - x^2*z1 + z0*z1^2 + z1^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x^2*z0 + z0^2*z1 + z1^2) * dx
-hol_form (x^2*z0 + z0^2*z1 + z1^2) * dx
-(x^2*z0 + z0^2*z1 + z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0^2 + x*z0 - x) * dx, z1^2/x^2 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x*z0 - x) * dx
-hol_form (x*z0 - x) * dx
-(x*z0 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0*z1 - x*z1) * dx, (z0*z1^2 + z1^2)/x^2 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x*z0^2 - x*z1) * dx
-hol_form (x*z0^2 - x*z1) * dx
-(x*z0^2 - x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0^2*z1 + x*z0^2 + x*z0*z1 - x*z0 - x*z1 + x) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x*z0^2 - x*z0 - x*z1 + x) * dx
-hol_form (x*z0^2 - x*z0 - x*z1 + x) * dx
-(x*z0^2 - x*z0 - x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-z0^2*z1 + z0*z1 - z1) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? (x^2*z1 - z0*z1^2 + z1^2)/x^3
-(x^2*z1 - z0*z1^2 + z1^2)/x^3 q r: 0 x^2*z1 - z0*z1^2 + z1^2
-if (x^2*z1 - z0*z1^2 + z1^2)/x^3 True
-omega - df ((x^4 - x^2*z0*z1 + x^2*z1 + z1^2 + z1)/x^2) * dx
-hol_form (z0*z1 - z1) * dx
-(z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (1) * dx
-hol_form (1) * dx
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z1 + 1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (z1 + 1) * dx
-hol_form (z1 + 1) * dx
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx
-hol_form (x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (z0) * dx
-hol_form (z0) * dx
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0*z1 + z0) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (z0*z1 + z0) * dx
-hol_form (z0*z1 + z0) * dx
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0^2) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (z0^2) * dx
-hol_form (z0^2) * dx
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x) * dx
-hol_form (x) * dx
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0^2 + x*z1 + x) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (-x*z0^2 + x*z1 + x) * dx
-hol_form (-x*z0^2 + x*z1 + x) * dx
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x*z0) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x*z0) * dx
-hol_form (x*z0) * dx
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x^2) * dx
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (0) * dx, (z1 + 1)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 1/x
-1/x q r: 0 1
-if 1/x True
-omega - df (1/x^2) * dx
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x^2*z1 - x^2) * dx, (z1^2 - z1 + 1)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 1/x
-1/x q r: 0 1
-if 1/x True
-omega - df ((-x^4 + 1)/x^2) * dx
-hol_form (-x^2) * dx
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2*z0) * dx, (z0*z1 + z0)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? z0/x
-z0/x q r: 0 z0
-if z0/x True
-omega - df ((-x^2 + z0)/x^2) * dx
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x^2*z0*z1 + z0^2*z1 + z0^2) * dx, (z0*z1^2 - z0*z1 + z0)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? z0/x
-z0/x q r: 0 z0
-if z0/x True
-omega - df ((x^2*z0^2 - x^2 + z0)/x^2) * dx
-hol_form (z0^2) * dx
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2*z0^2) * dx, (z0^2*z1 + z0^2)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? (z0^2 - z1)/x
-(z0^2 - z1)/x q r: 0 z0^2 - z1
-if (z0^2 - z1)/x True
-omega - df ((-x^4 + x^2*z0 + z0^2 - z1)/x^2) * dx
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x^2*z0^2*z1 - x^2*z0^2 + z0*z1^2 - z0*z1 + z0) * dx, (z0^2*z1^2 - z0^2*z1 + z0^2)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? (z0^2 - z1)/x
-(z0^2 - z1)/x q r: 0 z0^2 - z1
-if (z0^2 - z1)/x True
-omega - df ((-x^4 - x^2*z0*z1 - x^2*z0 + z0^2 - z1)/x^2) * dx
-hol_form (-z0*z1 + z0) * dx
-(-z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0^2) * dx, (z1^2 - z1 + 1)/x^2 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? (-z1 + 1)/x^2
-(-z1 + 1)/x^2 q r: 0 -z1 + 1
-if (-z1 + 1)/x^2 True
-omega - df ((-x^4 + z1 - 1)/x^3) * dx
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0*z1 - x*z0) * dx, (z0*z1^2 - z0*z1 + z0)/x^2 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? (-z0*z1 + z0)/x^2
-(-z0*z1 + z0)/x^2 q r: 0 -z0*z1 + z0
-if (-z0*z1 + z0)/x^2 True
-omega - df ((x^4*z0 + x^2*z1 - x^2 + z0*z1 - z0)/x^3) * dx
-hol_form (-x*z0) * dx
-(-x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0^2*z1) * dx, (z0^2*z1^2 - z0^2*z1 + z0^2)/x^2 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? (-z0^2*z1 + z0^2 - z1^2)/x^2
-(-z0^2*z1 + z0^2 - z1^2)/x^2 q r: 0 -z0^2*z1 + z0^2 - z1^2
-if (-z0^2*z1 + z0^2 - z1^2)/x^2 False
-omega - df ((-x^4*z0^2 + x^4*z1 - x^2*z0*z1 + x^2*z0 + z0^2*z1 - z0^2 + z1^2)/x^3) * dx
----------------------------------------------------------------------------
-ValueError                                Traceback (most recent call last)
-Input In [46], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:84, in coordinates(self, threshold, basis)
-
-ValueError: I arrived at a form (omega, 0), in which omega is not regular on U0. I hoped this wouldn t happen.
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.de_rham_basis()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lgenus()[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: AS.genus()

-[?7h[?12l[?25h[?2004l[?7h10
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.genus()[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lAS.genus()[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7l(cc.omega0 - cc.f.diffn()).expansion_at_infty()[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-11 10
-omega val 0
-z1^2/x
-11 10
-omega val 12
-z0*z1/x
-11 10
-omega val 6
-z0*z1^2/x
-11 10
-omega val 2
-z0^2*z1/x
-11 10
-omega val 0
-z0^2*z1^2/x
-11 10
-omega val 0
-z1^2/x^2
-11 10
-omega val 1
-z0*z1^2/x^2
-11 10
-omega val 3
-z0^2*z1^2/x^2
-11 10
-omega val 1
-z0^2*z1^2/x^3
-11 10
-omega val 6
-nowe!!!! ( (1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (1) * dx
-hol_form (1) * dx
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (z1) * dx
-hol_form (z1) * dx
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx
-hol_form (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0 + 1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (z0 + 1) * dx
-hol_form (z0 + 1) * dx
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0*z1 + z1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (z0*z1 + z1) * dx
-hol_form (z0*z1 + z1) * dx
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0^2 - z0 + 1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (z0^2 - z0 + 1) * dx
-hol_form (z0^2 - z0 + 1) * dx
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x) * dx
-hol_form (x) * dx
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (-x*z0^2 + x*z0 + x*z1 - x) * dx
-hol_form (-x*z0^2 + x*z0 + x*z1 - x) * dx
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x*z0 + x) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x*z0 + x) * dx
-hol_form (x*z0 + x) * dx
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x^2) * dx
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (0) * dx, z1/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (0) * dx
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x^2*z1) * dx, z1^2/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (0) * dx
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2*z0 + x^2) * dx, (z0*z1 + z1)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x^2) * dx
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x^2*z0*z1 + x^2*z0 - x^2*z1 + z0^2*z1 + x^2 - z0*z1 + z1) * dx, (z0*z1^2 + z1^2)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x^2 - z0*z1 + z1) * dx
-hol_form (x^2 - z0*z1 + z1) * dx
-(x^2 - z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2*z0^2 - x^2*z0 + x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x^2) * dx
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x^2*z0^2*z1 + x^2*z0*z1 - x^2*z1 + z0*z1^2 + z1^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x^2*z0 + z0^2*z1 + z1^2) * dx
-hol_form (x^2*z0 + z0^2*z1 + z1^2) * dx
-(x^2*z0 + z0^2*z1 + z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0^2 + x*z0 - x) * dx, z1^2/x^2 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x*z0 - x) * dx
-hol_form (x*z0 - x) * dx
-(x*z0 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0*z1 - x*z1) * dx, (z0*z1^2 + z1^2)/x^2 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x*z0^2 - x*z1) * dx
-hol_form (x*z0^2 - x*z1) * dx
-(x*z0^2 - x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0^2*z1 + x*z0^2 + x*z0*z1 - x*z0 - x*z1 + x) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x*z0^2 - x*z0 - x*z1 + x) * dx
-hol_form (x*z0^2 - x*z0 - x*z1 + x) * dx
-(x*z0^2 - x*z0 - x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-z0^2*z1 + z0*z1 - z1) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? (x^2*z1 - z0*z1^2 + z1^2)/x^3
-(x^2*z1 - z0*z1^2 + z1^2)/x^3 q r: 0 x^2*z1 - z0*z1^2 + z1^2
-if (x^2*z1 - z0*z1^2 + z1^2)/x^3 True
-omega - df ((x^4 - x^2*z0*z1 + x^2*z1 + z1^2 + z1)/x^2) * dx
-hol_form (z0*z1 - z1) * dx
-(z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (1) * dx
-hol_form (1) * dx
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z1 + 1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (z1 + 1) * dx
-hol_form (z1 + 1) * dx
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx
-hol_form (x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (z0) * dx
-hol_form (z0) * dx
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0*z1 + z0) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (z0*z1 + z0) * dx
-hol_form (z0*z1 + z0) * dx
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (z0^2) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (z0^2) * dx
-hol_form (z0^2) * dx
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x) * dx
-hol_form (x) * dx
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0^2 + x*z1 + x) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (-x*z0^2 + x*z1 + x) * dx
-hol_form (-x*z0^2 + x*z1 + x) * dx
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x*z0) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x*z0) * dx
-hol_form (x*z0) * dx
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2) * dx, 0 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 0
-0 q r: 0 0
-if 0 True
-omega - df (x^2) * dx
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (0) * dx, (z1 + 1)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 1/x
-1/x q r: 0 1
-if 1/x True
-omega - df (1/x^2) * dx
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x^2*z1 - x^2) * dx, (z1^2 - z1 + 1)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? 1/x
-1/x q r: 0 1
-if 1/x True
-omega - df ((-x^4 + 1)/x^2) * dx
-hol_form (-x^2) * dx
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2*z0) * dx, (z0*z1 + z0)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? z0/x
-z0/x q r: 0 z0
-if z0/x True
-omega - df ((-x^2 + z0)/x^2) * dx
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x^2*z0*z1 + z0^2*z1 + z0^2) * dx, (z0*z1^2 - z0*z1 + z0)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? z0/x
-z0/x q r: 0 z0
-if z0/x True
-omega - df ((x^2*z0^2 - x^2 + z0)/x^2) * dx
-hol_form (z0^2) * dx
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (x^2*z0^2) * dx, (z0^2*z1 + z0^2)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? (z0^2 - z1)/x
-(z0^2 - z1)/x q r: 0 z0^2 - z1
-if (z0^2 - z1)/x True
-omega - df ((-x^4 + x^2*z0 + z0^2 - z1)/x^2) * dx
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x^2*z0^2*z1 - x^2*z0^2 + z0*z1^2 - z0*z1 + z0) * dx, (z0^2*z1^2 - z0^2*z1 + z0^2)/x )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? (z0^2 - z1)/x
-(z0^2 - z1)/x q r: 0 z0^2 - z1
-if (z0^2 - z1)/x True
-omega - df ((-x^4 - x^2*z0*z1 - x^2*z0 + z0^2 - z1)/x^2) * dx
-hol_form (-z0*z1 + z0) * dx
-(-z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0^2) * dx, (z1^2 - z1 + 1)/x^2 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? (-z1 + 1)/x^2
-(-z1 + 1)/x^2 q r: 0 -z1 + 1
-if (-z1 + 1)/x^2 True
-omega - df ((-x^4 + z1 - 1)/x^3) * dx
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0*z1 - x*z0) * dx, (z0*z1^2 - z0*z1 + z0)/x^2 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? (-z0*z1 + z0)/x^2
-(-z0*z1 + z0)/x^2 q r: 0 -z0*z1 + z0
-if (-z0*z1 + z0)/x^2 True
-omega - df ((x^4*z0 + x^2*z1 - x^2 + z0*z1 - z0)/x^3) * dx
-hol_form (-x*z0) * dx
-(-x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-nowe!!!! ( (-x*z0^2*z1) * dx, (z0^2*z1^2 - z0^2*z1 + z0^2)/x^2 )
-products: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-? (-z0^2*z1 + z0^2 - z1^2)/x^2
-(-z0^2*z1 + z0^2 - z1^2)/x^2 q r: 0 -z0^2*z1 + z0^2 - z1^2
-if (-z0^2*z1 + z0^2 - z1^2)/x^2 False
-omega - df ((-x^4*z0^2 + x^4*z1 - x^2*z0*z1 + x^2*z0 + z0^2*z1 - z0^2 + z1^2)/x^3) * dx
----------------------------------------------------------------------------
-ValueError                                Traceback (most recent call last)
-Input In [48], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:84, in coordinates(self, threshold, basis)
-
-ValueError: I arrived at a form (omega, 0), in which omega is not regular on U0. I hoped this wouldn t happen.
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-omega val 0
-z1^2/x
-omega val 12
-z0*z1/x
-omega val 6
-z0*z1^2/x
-omega val 2
-z0^2*z1/x
-omega val 0
-z0^2*z1^2/x
-omega val 0
-z1^2/x^2
-omega val 1
-z0*z1^2/x^2
-omega val 3
-z0^2*z1^2/x^2
-omega val 1
-z0^2*z1^2/x^3
-omega val 6
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 - z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
----------------------------------------------------------------------------
-ValueError                                Traceback (most recent call last)
-Input In [49], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:77, in coordinates(self, threshold, basis)
-
-ValueError: I arrived at a form (omega, 0), in which omega is not regular on U0. I hoped this wouldn t happen.
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.genus()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lcohomology_of_structure_sheaf_basis()[1][?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lhomology_of_structure_sheaf_basis()[1][?7h[?12l[?25h[?25l[?7lsage: AS.cohomology_of_structure_sheaf_basis()[1]

-[?7h[?12l[?25h[?2004l[?7hz1^2/x
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.cohomology_of_structure_sheaf_basis()[1][?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lfor i, f in enumerate(AS.cohomology_of_structure_sheaf_basis()):[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lfor[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lin[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7lh[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l():[?7h[?12l[?25h[?25l[?7lsage: for eta in AS.de_rham_basis():

-....: [?7h[?12l[?25h[?25l[?7lprint(om.serre_duality_pairing(f))[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lprint[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lg[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lg[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l8[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lv[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l....:     print(eta.omega0, eta.omega8.valuation())

-....: [?7h[?12l[?25h[?25l[?7lsage: for eta in AS.de_rham_basis():

-....:     print(eta.omega0, eta.omega8.valuation())

-....: 

-[?7h[?12l[?25h[?2004lz1/x
-omega val 0
-z1^2/x
-omega val 12
-z0*z1/x
-omega val 6
-z0*z1^2/x
-omega val 2
-z0^2*z1/x
-omega val 0
-z0^2*z1^2/x
-omega val 0
-z1^2/x^2
-omega val 1
-z0*z1^2/x^2
-omega val 3
-z0^2*z1^2/x^2
-omega val 1
-z0^2*z1^2/x^3
-omega val 6
-(1) * dx 18
-(z1) * dx 6
-(x^2*z0 + z0^2*z1 + z1^2) * dx 2
-(z0) * dx 12
-(z0*z1) * dx 0
-(z0^2) * dx 6
-(x) * dx 9
-(-x*z0^2 + x*z1) * dx 1
-(x*z0) * dx 3
-(x^2) * dx 0
-(0) * dx 0
-(x^2*z1) * dx 12
-(-x^2*z0) * dx 6
-(x^2*z0*z1 - x^2*z0 - z0^2*z1) * dx 2
-(-x^2*z0^2) * dx 0
-(x^2*z0^2*z1 - z0*z1^2) * dx 0
-(x*z0^2) * dx 1
-(x*z0*z1) * dx 3
-(x*z0^2*z1 - x*z0^2) * dx 1
-(z0^2*z1) * dx 6
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: for eta in AS.de_rham_basis():

-....:     print(eta.omega0, eta.omega8.valuation())[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lAS.cohomology_ofstructure_sheaf_basis()[1]

- [?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-hol_form (1) * dx
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-hol_form (z1) * dx
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-hol_form (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-hol_form (z0 + 1) * dx
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-hol_form (z0*z1 + z1) * dx
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-hol_form (z0^2 - z0 + 1) * dx
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-hol_form (x) * dx
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-hol_form (-x*z0^2 + x*z0 + x*z1 - x) * dx
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-hol_form (x*z0 + x) * dx
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-hol_form (-x^2) * dx
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-hol_form (-x^2 + z0*z1 - z1) * dx
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-hol_form (-x^2) * dx
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-hol_form (-x^2*z0 - z0^2*z1 - z1^2) * dx
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-hol_form (-x*z0 + x) * dx
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-hol_form (-x*z0^2 + x*z1) * dx
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-hol_form (-x*z0^2 + x*z0 + x*z1 - x) * dx
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-hol_form (-z0*z1 + z1) * dx
-(-z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-hol_form (1) * dx
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-hol_form (z1 + 1) * dx
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-hol_form (x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-hol_form (z0) * dx
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-hol_form (z0*z1 + z0) * dx
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-hol_form (z0^2) * dx
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-hol_form (x) * dx
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-hol_form (-x*z0^2 + x*z1 + x) * dx
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-hol_form (x*z0) * dx
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-hol_form (-z0^2) * dx
-(-z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-hol_form (z0*z1 - z0) * dx
-(z0*z1 - z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-hol_form (x*z0) * dx
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
----------------------------------------------------------------------------
-ValueError                                Traceback (most recent call last)
-Input In [52], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:78, in coordinates(self, threshold, basis)
-
-ValueError: I arrived at a form (omega, 0), in which omega is not regular on U0. I hoped this wouldn t happen.
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.cohomology_of_structure_sheaf_basis()[1][?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lhlrphic_differential_bsis()[1].group_action([0, 1])[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7lomorphic_differentials_basis()[1].group_action([0, 1])[?7h[?12l[?25h[?25l[?7l([][?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ls()[1].group_action([0, 1])[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: AS.holomorphic_differentials_basis()

-[?7h[?12l[?25h[?2004l[?7h[(1) * dx,
- (z1) * dx,
- (x^2*z0 + z0^2*z1 + z1^2) * dx,
- (z0) * dx,
- (z0*z1) * dx,
- (z0^2) * dx,
- (x) * dx,
- (-x*z0^2 + x*z1) * dx,
- (x*z0) * dx,
- (x^2) * dx]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-( (1) * dx, 0 )
-hol_form (1) * dx
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-( (z1) * dx, 0 )
-hol_form (z1) * dx
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 )
-hol_form (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-( (z0 + 1) * dx, 0 )
-hol_form (z0 + 1) * dx
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-( (z0*z1 + z1) * dx, 0 )
-hol_form (z0*z1 + z1) * dx
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-( (z0^2 - z0 + 1) * dx, 0 )
-hol_form (z0^2 - z0 + 1) * dx
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-( (x) * dx, 0 )
-hol_form (x) * dx
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 )
-hol_form (-x*z0^2 + x*z0 + x*z1 - x) * dx
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-( (x*z0 + x) * dx, 0 )
-hol_form (x*z0 + x) * dx
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-( (x^2) * dx, 0 )
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-( (0) * dx, 0 )
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-( (0) * dx, 0 )
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-( (-x^2) * dx, 0 )
-hol_form (-x^2) * dx
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-( (-x^2 + z0*z1 - z1) * dx, 0 )
-hol_form (-x^2 + z0*z1 - z1) * dx
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-( (-x^2) * dx, 0 )
-hol_form (-x^2) * dx
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-( (-x^2*z0 - z0^2*z1 - z1^2) * dx, 0 )
-hol_form (-x^2*z0 - z0^2*z1 - z1^2) * dx
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-( (-x*z0 + x) * dx, 0 )
-hol_form (-x*z0 + x) * dx
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-( (-x*z0^2 + x*z1) * dx, 0 )
-hol_form (-x*z0^2 + x*z1) * dx
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 )
-hol_form (-x*z0^2 + x*z0 + x*z1 - x) * dx
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-( (-z0*z1 + z1) * dx, (x^2*z1 - z0*z1^2 + z1^2)/x^3 )
-hol_form (-z0*z1 + z1) * dx
-(-z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-( (1) * dx, 0 )
-hol_form (1) * dx
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-( (z1 + 1) * dx, 0 )
-hol_form (z1 + 1) * dx
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-( (x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx, 0 )
-hol_form (x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-( (z0) * dx, 0 )
-hol_form (z0) * dx
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-( (z0*z1 + z0) * dx, 0 )
-hol_form (z0*z1 + z0) * dx
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-( (z0^2) * dx, 0 )
-hol_form (z0^2) * dx
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-( (x) * dx, 0 )
-hol_form (x) * dx
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-( (-x*z0^2 + x*z1 + x) * dx, 0 )
-hol_form (-x*z0^2 + x*z1 + x) * dx
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-( (x*z0) * dx, 0 )
-hol_form (x*z0) * dx
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-( (x^2) * dx, 0 )
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-( (0) * dx, 1/x )
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-( (x^2) * dx, 1/x )
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-( (0) * dx, z0/x )
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-( (-z0^2) * dx, z0/x )
-hol_form (-z0^2) * dx
-(-z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-( (0) * dx, (z0^2 - z1)/x )
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-( (z0*z1 - z0) * dx, (z0^2 - z1)/x )
-hol_form (z0*z1 - z0) * dx
-(z0*z1 - z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-( (0) * dx, (-z1 + 1)/x^2 )
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-( (x*z0) * dx, (-z0*z1 + z0)/x^2 )
-hol_form (x*z0) * dx
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-( (0) * dx, (-z0^2*z1 + z0^2 - z1^2)/x^2 )
----------------------------------------------------------------------------
-ValueError                                Traceback (most recent call last)
-Input In [54], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:79, in coordinates(self, threshold, basis)
-
-ValueError: I arrived at a form (omega, 0), in which omega is not regular on U0. I hoped this wouldn t happen.
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: 

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(-z0^2*z1 + z0^2 - z1^2)/x^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAx^2[?7h[?12l[?25h[?25l[?7lSx^2[?7h[?12l[?25h[?25l[?7l.x^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAz1^2)/AS.x^2[?7h[?12l[?25h[?25l[?7lSz1^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l.z1^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[1^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAz0^2 - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7lSz0^2 - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l.z0^2 - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[0^2 - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[]^2 - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAz0^2*z1 + AS.z[0]^2 - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7lSz0^2*z1 + AS.z[0]^2 - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l.z0^2*z1 + AS.z[0]^2 - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[0^2*z1 + AS.z[0]^2 - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[]^2*z1 + AS.z[0]^2 - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAz1 + AS.z[0]^2 - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7lSz1 + AS.z[0]^2 - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l.z1 + AS.z[0]^2 - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[1 + AS.z[0]^2 - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[] + AS.z[0]^2 - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: (-AS.z[0]^2*AS.z[1] + AS.z[0]^2 - AS.z[1]^2)/AS.x^2

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [55], in <cell line: 1>()
-----> 1 (-AS.z[Integer(0)]**Integer(2)*AS.z[Integer(1)] + AS.z[Integer(0)]**Integer(2) - AS.z[Integer(1)]**Integer(2))/AS.x**Integer(2)
-
-TypeError: bad operand type for unary -: 'as_function'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(-AS.z[0]^2*AS.z[1] + AS.z[0]^2 - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l1AS.z[0]^2*AS.z[1] + AS.z[0]^2 - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(-1AS.z[0]^2*AS.z[1] + AS.z[0]^2 - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()AS.z[0]^2*AS.z[1] + AS.z[0]^2 - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l()*AS.z[0]^2*AS.z[1] + AS.z[0]^2 - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: ((-1)*AS.z[0]^2*AS.z[1] + AS.z[0]^2 - AS.z[1]^2)/AS.x^2

-[?7h[?12l[?25h[?2004l[?7h(-z0^2*z1 + z0^2 - z1^2)/x^2
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l((-1)*AS.z[0]^2*AS.z[1] + AS.z[0]^2 - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(((-1)*AS.z[0]^2*AS.z[1] + AS.z[0]^2 - AS.z[1]^2)/AS.x^2)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l().[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7ly[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lsage: (((-1)*AS.z[0]^2*AS.z[1] + AS.z[0]^2 - AS.z[1]^2)/AS.x^2).expansion_at_infty()

-[?7h[?12l[?25h[?2004l[?7ht^-6 + 2*t^2 + 2*t^10 + 2*t^14 + 2*t^18 + t^26 + 2*t^30 + 2*t^38 + 2*t^46 + 2*t^54 + t^58 + t^62 + t^66 + 2*t^78 + 2*t^90 + 2*t^94 + t^98 + 2*t^102 + t^118 + t^122 + 2*t^134 + 2*t^138 + 2*t^142 + 2*t^146 + 2*t^154 + t^158 + 2*t^162 + 2*t^166 + t^170 + 2*t^182 + 2*t^186 + t^190 + 2*t^202 + 2*t^206 + 2*t^218 + t^222 + t^230 + 2*t^234 + t^238 + t^246 + 2*t^250 + 2*t^262 + 2*t^266 + t^278 + 2*t^282 + t^286 + 2*t^298 + t^310 + 2*t^314 + 2*t^318 + t^326 + 2*t^330 + 2*t^334 + t^338 + 2*t^346 + t^350 + t^354 + t^370 + 2*t^374 + t^382 + 2*t^386 + t^390 + 2*t^394 + t^402 + 2*t^410 + 2*t^414 + t^418 + t^422 + t^426 + 2*t^434 + t^446 + 2*t^450 + t^458 + 2*t^462 + t^466 + 2*t^470 + 2*t^474 + 2*t^478 + 2*t^482 + 2*t^486 + t^490 + t^494 + t^498 + 2*t^510 + 2*t^514 + t^522 + 2*t^526 + 2*t^530 + 2*t^538 + 2*t^542 + 2*t^546 + 2*t^554 + 2*t^558 + 2*t^562 + 2*t^574 + 2*t^578 + 2*t^586 + 2*t^590 + 2*t^594 + 2*t^602 + 2*t^606 + 2*t^610 + t^618 + 2*t^622 + 2*t^638 + 2*t^642 + 2*t^650 + 2*t^654 + 2*t^670 + t^682 + 2*t^686 + 2*t^698 + 2*t^702 + t^714 + 2*t^718 + t^730 + 2*t^734 + t^746 + 2*t^750 + t^762 + 2*t^766 + 2*t^770 + t^778 + 2*t^782 + 2*t^786 + 2*t^798 + 2*t^802 + 2*t^814 + t^818 + t^826 + 2*t^830 + 2*t^834 + t^842 + 2*t^846 + 2*t^850 + t^858 + 2*t^862 + 2*t^866 + t^874 + 2*t^878 + 2*t^882 + t^890 + 2*t^894 + 2*t^898 + t^906 + 2*t^910 + t^914 + t^922 + 2*t^926 + t^930 + 2*t^942 + t^946 + 2*t^958 + 2*t^966 + t^970 + t^978 + t^982 + 2*t^986 + O(t^994)
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(((-1)*AS.z[0]^2*AS.z[1] + AS.z[0]^2 - AS.z[1]^2)/AS.x^2).expansion_at_infty()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)/AS.x^2).expansion_at_infty()[?7h[?12l[?25h[?25l[?7l)/AS.x^2).expansion_at_infty()[?7h[?12l[?25h[?25l[?7l)/AS.x^2).expansion_at_infty()[?7h[?12l[?25h[?25l[?7l)/AS.x^2).expansion_at_infty()[?7h[?12l[?25h[?25l[?7l)/AS.x^2).expansion_at_infty()[?7h[?12l[?25h[?25l[?7l)/AS.x^2).expansion_at_infty()[?7h[?12l[?25h[?25l[?7l)/AS.x^2).expansion_at_infty()[?7h[?12l[?25h[?25l[?7l)/AS.x^2).expansion_at_infty()[?7h[?12l[?25h[?25l[?7l)/AS.x^2).expansion_at_infty()[?7h[?12l[?25h[?25l[?7l)/AS.x^2).expansion_at_infty()[?7h[?12l[?25h[?25l[?7l)/AS.x^2).expansion_at_infty()[?7h[?12l[?25h[?25l[?7l)/AS.x^2).expansion_at_infty()[?7h[?12l[?25h[?25l[?7lsage: (((-1)*AS.z[0]^2*AS.z[1] + AS.z[0]^2)/AS.x^2).expansion_at_infty()

-[?7h[?12l[?25h[?2004l[?7h2*t^-6 + 2*t^-2 + 2*t^6 + t^10 + 2*t^14 + t^18 + 2*t^22 + t^30 + 2*t^34 + 2*t^38 + t^46 + 2*t^50 + t^54 + 2*t^58 + t^70 + t^74 + t^82 + t^86 + t^90 + t^98 + 2*t^102 + 2*t^106 + t^114 + t^122 + 2*t^126 + 2*t^130 + t^134 + t^138 + 2*t^146 + t^154 + t^162 + t^166 + t^174 + t^178 + 2*t^182 + t^194 + t^198 + 2*t^206 + t^210 + 2*t^214 + t^222 + t^226 + t^242 + t^246 + t^258 + t^270 + t^274 + 2*t^278 + t^286 + t^290 + t^294 + t^302 + t^306 + 2*t^322 + 2*t^326 + t^330 + 2*t^338 + 2*t^342 + t^346 + t^350 + 2*t^358 + t^362 + 2*t^366 + t^374 + 2*t^378 + 2*t^382 + t^386 + 2*t^394 + t^398 + t^402 + t^406 + 2*t^410 + t^414 + t^418 + t^422 + 2*t^430 + t^434 + t^438 + t^442 + t^446 + 2*t^454 + 2*t^458 + t^462 + 2*t^470 + t^478 + t^486 + t^490 + t^502 + 2*t^506 + 2*t^514 + t^518 + t^534 + t^546 + t^550 + t^554 + t^566 + t^582 + t^586 + t^594 + t^598 + t^602 + t^610 + t^614 + 2*t^618 + t^626 + t^630 + t^642 + t^646 + t^650 + t^662 + 2*t^666 + t^674 + t^678 + t^694 + t^698 + 2*t^706 + t^710 + 2*t^722 + t^726 + 2*t^738 + t^742 + t^754 + t^758 + 2*t^762 + t^770 + t^774 + 2*t^778 + t^790 + 2*t^794 + t^806 + t^810 + 2*t^818 + t^822 + t^826 + 2*t^834 + t^838 + t^842 + 2*t^850 + t^854 + t^858 + 2*t^866 + t^870 + t^874 + 2*t^882 + t^886 + t^890 + t^898 + t^902 + t^914 + t^918 + t^934 + t^950 + 2*t^954 + 2*t^962 + 2*t^966 + 2*t^990 + O(t^994)
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(((-1)*AS.z[0]^2*AS.z[1] + AS.z[0]^2)/AS.x^2).expansion_at_infty()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(((-1)*AS.z[0]^2*AS.z[1] + AS.z[0]^2 - AS.z[1]^2)/AS.x^2).expansion_at_infty()[?7h[?12l[?25h[?25l[?7l-1)*AS.z[0]^2*AS.z[1] + AS.z[0]^2 - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l-AS.z[0]^2*AS.z[1] + AS.z[0]^2 - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
----------------------------------------------------------------------------
-IndexError                                Traceback (most recent call last)
-Input In [59], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:55, in coordinates(self, threshold, basis)
-
-IndexError: list assignment index out of range
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [60], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:61, in coordinates(self, threshold, basis)
-
-File <string>:61, in <listcomp>(.0)
-
-File /ext/sage/9.7/src/sage/modules/free_module_element.pyx:493, in sage.modules.free_module_element.vector()
-    491     pass
-    492 else:
---> 493     v = arg0_vector_(arg1)
-    494     if immutable:
-    495         v.set_immutable()
-
-TypeError: IntegerMod_int._vector_() takes no arguments (1 given)
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-[0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [61], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:61, in coordinates(self, threshold, basis)
-
-File <string>:61, in <listcomp>(.0)
-
-File /ext/sage/9.7/src/sage/modules/free_module_element.pyx:493, in sage.modules.free_module_element.vector()
-    491     pass
-    492 else:
---> 493     v = arg0_vector_(arg1)
-    494     if immutable:
-    495         v.set_immutable()
-
-TypeError: IntegerMod_int._vector_() takes no arguments (1 given)
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (1) * dx, 0 ) []
-hol_form (1) * dx
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (z1) * dx, 0 ) []
-hol_form (z1) * dx
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 ) []
-hol_form (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (z0 + 1) * dx, 0 ) []
-hol_form (z0 + 1) * dx
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (z0*z1 + z1) * dx, 0 ) []
-hol_form (z0*z1 + z1) * dx
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (z0^2 - z0 + 1) * dx, 0 ) []
-hol_form (z0^2 - z0 + 1) * dx
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (x) * dx, 0 ) []
-hol_form (x) * dx
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 ) []
-hol_form (-x*z0^2 + x*z0 + x*z1 - x) * dx
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (x*z0 + x) * dx, 0 ) []
-hol_form (x*z0 + x) * dx
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (x^2) * dx, 0 ) []
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (0) * dx, 0 ) []
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (0) * dx, 0 ) []
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-x^2) * dx, 0 ) []
-hol_form (-x^2) * dx
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-x^2 + z0*z1 - z1) * dx, 0 ) []
-hol_form (-x^2 + z0*z1 - z1) * dx
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-x^2) * dx, 0 ) []
-hol_form (-x^2) * dx
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-x^2*z0 - z0^2*z1 - z1^2) * dx, 0 ) []
-hol_form (-x^2*z0 - z0^2*z1 - z1^2) * dx
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-x*z0 + x) * dx, 0 ) []
-hol_form (-x*z0 + x) * dx
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-x*z0^2 + x*z1) * dx, 0 ) []
-hol_form (-x*z0^2 + x*z1) * dx
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 ) []
-hol_form (-x*z0^2 + x*z0 + x*z1 - x) * dx
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-z0*z1 + z1) * dx, (x^2*z1 - z0*z1^2 + z1^2)/x^3 ) []
----------------------------------------------------------------------------
-NameError                                 Traceback (most recent call last)
-Input In [62], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:70, in coordinates(self, threshold, basis)
-
-NameError: name 'v_f_den' is not defined
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (1) * dx, 0 ) []
----------------------------------------------------------------------------
-AttributeError                            Traceback (most recent call last)
-File /ext/sage/9.7/src/sage/rings/fraction_field.py:706, in FractionField_generic._element_constructor_(self, x, y, coerce)
-    705 try:
---> 706     x, y = resolve_fractions(x0, y0)
-    707 except (AttributeError, TypeError):
-
-File /ext/sage/9.7/src/sage/rings/fraction_field.py:683, in FractionField_generic._element_constructor_.<locals>.resolve_fractions(x, y)
-    682 def resolve_fractions(x, y):
---> 683     xn = x.numerator()
-    684     xd = x.denominator()
-
-AttributeError: 'function' object has no attribute 'numerator'
-
-During handling of the above exception, another exception occurred:
-
-TypeError                                 Traceback (most recent call last)
-Input In [63], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:69, in coordinates(self, threshold, basis)
-
-File <string>:14, in __init__(self, C, g)
-
-File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
-    895 if mor is not None:
-    896     if no_extra_args:
---> 897         return mor._call_(x)
-    898     else:
-    899         return mor._call_with_args(x, args, kwds)
-
-File /ext/sage/9.7/src/sage/structure/coerce_maps.pyx:161, in sage.structure.coerce_maps.DefaultConvertMap_unique._call_()
-    159             print(type(C), C)
-    160             print(type(C._element_constructor), C._element_constructor)
---> 161         raise
-    162 
-    163 cpdef Element _call_with_args(self, x, args=(), kwds={}):
-
-File /ext/sage/9.7/src/sage/structure/coerce_maps.pyx:156, in sage.structure.coerce_maps.DefaultConvertMap_unique._call_()
-    154 cdef Parent C = self._codomain
-    155 try:
---> 156     return C._element_constructor(x)
-    157 except Exception:
-    158     if print_warnings:
-
-File /ext/sage/9.7/src/sage/rings/fraction_field.py:708, in FractionField_generic._element_constructor_(self, x, y, coerce)
-    706     x, y = resolve_fractions(x0, y0)
-    707 except (AttributeError, TypeError):
---> 708     raise TypeError("cannot convert {!r}/{!r} to an element of {}".format(
-    709                     x0, y0, self))
-    710 try:
-    711     return self._element_class(self, x, y, coerce=coerce)
-
-TypeError: cannot convert <function denominator at 0x7f71d01e8820>/1 to an element of Fraction Field of Multivariate Polynomial Ring in x, y, z0, z1 over Finite Field of size 3
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (1) * dx, 0 ) []
-hol_form (1) * dx
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (z1) * dx, 0 ) []
-hol_form (z1) * dx
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 ) []
-hol_form (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (z0 + 1) * dx, 0 ) []
-hol_form (z0 + 1) * dx
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (z0*z1 + z1) * dx, 0 ) []
-hol_form (z0*z1 + z1) * dx
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (z0^2 - z0 + 1) * dx, 0 ) []
-hol_form (z0^2 - z0 + 1) * dx
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (x) * dx, 0 ) []
-hol_form (x) * dx
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 ) []
-hol_form (-x*z0^2 + x*z0 + x*z1 - x) * dx
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (x*z0 + x) * dx, 0 ) []
-hol_form (x*z0 + x) * dx
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (x^2) * dx, 0 ) []
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (0) * dx, 0 ) []
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (0) * dx, 0 ) []
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-x^2) * dx, 0 ) []
-hol_form (-x^2) * dx
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-x^2 + z0*z1 - z1) * dx, 0 ) []
-hol_form (-x^2 + z0*z1 - z1) * dx
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-x^2) * dx, 0 ) []
-hol_form (-x^2) * dx
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-x^2*z0 - z0^2*z1 - z1^2) * dx, 0 ) []
-hol_form (-x^2*z0 - z0^2*z1 - z1^2) * dx
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-x*z0 + x) * dx, 0 ) []
-hol_form (-x*z0 + x) * dx
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-x*z0^2 + x*z1) * dx, 0 ) []
-hol_form (-x*z0^2 + x*z1) * dx
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 ) []
-hol_form (-x*z0^2 + x*z0 + x*z1 - x) * dx
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-z0*z1 + z1) * dx, (x^2*z1 - z0*z1^2 + z1^2)/x^3 ) []
-hol_form (-z0*z1 + z1) * dx
-(-z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (1) * dx, 0 ) []
-hol_form (1) * dx
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (z1 + 1) * dx, 0 ) []
-hol_form (z1 + 1) * dx
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx, 0 ) []
-hol_form (x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (z0) * dx, 0 ) []
-hol_form (z0) * dx
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (z0*z1 + z0) * dx, 0 ) []
-hol_form (z0*z1 + z0) * dx
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (z0^2) * dx, 0 ) []
-hol_form (z0^2) * dx
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (x) * dx, 0 ) []
-hol_form (x) * dx
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-x*z0^2 + x*z1 + x) * dx, 0 ) []
-hol_form (-x*z0^2 + x*z1 + x) * dx
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (x*z0) * dx, 0 ) []
-hol_form (x*z0) * dx
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (x^2) * dx, 0 ) []
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (0) * dx, 1/x ) []
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (x^2) * dx, 1/x ) []
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (0) * dx, z0/x ) []
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-z0^2) * dx, z0/x ) []
-hol_form (-z0^2) * dx
-(-z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (0) * dx, (z0^2 - z1)/x ) []
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (z0*z1 - z0) * dx, (z0^2 - z1)/x ) []
-hol_form (z0*z1 - z0) * dx
-(z0*z1 - z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (0) * dx, (-z1 + 1)/x^2 ) []
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (x*z0) * dx, (-z0*z1 + z0)/x^2 ) []
-hol_form (x*z0) * dx
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (0) * dx, (-z0^2*z1 + z0^2 - z1^2)/x^2 ) []
----------------------------------------------------------------------------
-ValueError                                Traceback (most recent call last)
-Input In [64], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:82, in coordinates(self, threshold, basis)
-
-ValueError: I arrived at a form (omega, 0), in which omega is not regular on U0. I hoped this wouldn t happen.
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7l(((-1)*AS.z[0]^2*AS.z[1] + AS.z[0]^2)/AS.x^2).expansion_at_infty()[?7h[?12l[?25h[?25l[?7l - AS.z[1]^2)/AS.x^2).expansion_at_infty()[?7h[?12l[?25h[?25l[?7l)/AS.x^2).expansion_at_infty()[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7l(((-1)*AS.z[0]^2*AS.z[1] + AS.z[0]^2)/AS.x^2).expansion_at_infty()[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (1) * dx, 0 ) []
-hol_form (1) * dx
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (z1) * dx, 0 ) []
-hol_form (z1) * dx
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 ) []
-hol_form (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (z0 + 1) * dx, 0 ) []
-hol_form (z0 + 1) * dx
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (z0*z1 + z1) * dx, 0 ) []
-hol_form (z0*z1 + z1) * dx
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (z0^2 - z0 + 1) * dx, 0 ) []
-hol_form (z0^2 - z0 + 1) * dx
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (x) * dx, 0 ) []
-hol_form (x) * dx
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 ) []
-hol_form (-x*z0^2 + x*z0 + x*z1 - x) * dx
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (x*z0 + x) * dx, 0 ) []
-hol_form (x*z0 + x) * dx
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (x^2) * dx, 0 ) []
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (0) * dx, 0 ) []
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (0) * dx, 0 ) []
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-x^2) * dx, 0 ) []
-hol_form (-x^2) * dx
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-x^2 + z0*z1 - z1) * dx, 0 ) []
-hol_form (-x^2 + z0*z1 - z1) * dx
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-x^2) * dx, 0 ) []
-hol_form (-x^2) * dx
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-x^2*z0 - z0^2*z1 - z1^2) * dx, 0 ) []
-hol_form (-x^2*z0 - z0^2*z1 - z1^2) * dx
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-x*z0 + x) * dx, 0 ) []
-hol_form (-x*z0 + x) * dx
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-x*z0^2 + x*z1) * dx, 0 ) []
-hol_form (-x*z0^2 + x*z1) * dx
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 ) []
-hol_form (-x*z0^2 + x*z0 + x*z1 - x) * dx
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-z0*z1 + z1) * dx, (x^2*z1 - z0*z1^2 + z1^2)/x^3 ) []
-hol_form (-z0*z1 + z1) * dx
-(-z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (1) * dx, 0 ) []
-hol_form (1) * dx
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (z1 + 1) * dx, 0 ) []
-hol_form (z1 + 1) * dx
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx, 0 ) []
-hol_form (x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (z0) * dx, 0 ) []
-hol_form (z0) * dx
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (z0*z1 + z0) * dx, 0 ) []
-hol_form (z0*z1 + z0) * dx
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (z0^2) * dx, 0 ) []
-hol_form (z0^2) * dx
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (x) * dx, 0 ) []
-hol_form (x) * dx
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-x*z0^2 + x*z1 + x) * dx, 0 ) []
-hol_form (-x*z0^2 + x*z1 + x) * dx
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (x*z0) * dx, 0 ) []
-hol_form (x*z0) * dx
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (x^2) * dx, 0 ) []
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (0) * dx, 1/x ) []
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (x^2) * dx, 1/x ) []
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (0) * dx, z0/x ) []
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-z0^2) * dx, z0/x ) []
-hol_form (-z0^2) * dx
-(-z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (0) * dx, (z0^2 - z1)/x ) []
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (z0*z1 - z0) * dx, (z0^2 - z1)/x ) []
-hol_form (z0*z1 - z0) * dx
-(z0*z1 - z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (0) * dx, (-z1 + 1)/x^2 ) []
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (x*z0) * dx, (-z0*z1 + z0)/x^2 ) []
-hol_form (x*z0) * dx
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (0) * dx, (-z0^2*z1 + z0^2 - z1^2)/x^2 ) []
-( (0) * dx, (-z0^2*z1 - z1^2)/x^2 )
----------------------------------------------------------------------------
-ValueError                                Traceback (most recent call last)
-Input In [65], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:83, in coordinates(self, threshold, basis)
-
-ValueError: I arrived at a form (omega, 0), in which omega is not regular on U0. I hoped this wouldn t happen.
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lg.quo_rem(f)[?7h[?12l[?25h[?25l[?7lg =[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(-z0^2*z1 - z1^2)/x^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAx^2[?7h[?12l[?25h[?25l[?7lSx^2[?7h[?12l[?25h[?25l[?7l.x^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAz1^2)/AS.x^2[?7h[?12l[?25h[?25l[?7lSz1^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l.z1^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[1^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lAz0^2*z1 - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7lSz0^2*z1 - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l.z0^2*z1 - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[0^2*z1 - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[]^2*z1 - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAz1 - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7lSz1 - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l/z1 - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lz1 - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l.z1 - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[1 - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[] - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: (-AS.z[0]^2*AS.z[1] - AS.z[1]^2)/AS.x^2

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [66], in <cell line: 1>()
-----> 1 (-AS.z[Integer(0)]**Integer(2)*AS.z[Integer(1)] - AS.z[Integer(1)]**Integer(2))/AS.x**Integer(2)
-
-TypeError: bad operand type for unary -: 'as_function'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(-AS.z[0]^2*AS.z[1] - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l1AS.z[0]^2*AS.z[1] - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l()AS.z[0]^2*AS.z[1] - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(-1)AS.z[0]^2*AS.z[1] - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: ((-1)AS.z[0]^2*AS.z[1] - AS.z[1]^2)/AS.x^2

-[?7h[?12l[?25h[?2004l  Input In [67]
-    ((-Integer(1))AS.z[Integer(0)]**Integer(2)*AS.z[Integer(1)] - AS.z[Integer(1)]**Integer(2))/AS.x**Integer(2)
-      ^
-SyntaxError: invalid syntax. Perhaps you forgot a comma?
-
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l((-1)AS.z[0]^2*AS.z[1] - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()*AS.z[0]^2*AS.z[1] - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7lsage: ((-1)*AS.z[0]^2*AS.z[1] - AS.z[1]^2)/AS.x^2

-[?7h[?12l[?25h[?2004l[?7h(-z0^2*z1 - z1^2)/x^2
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l((-1)*AS.z[0]^2*AS.z[1] - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l2.[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lnsion[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7ly[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: ((-1)*AS.z[0]^2*AS.z[1] - AS.z[1]^2)/AS.x^2.expansion_at_infty()

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-AttributeError                            Traceback (most recent call last)
-Input In [69], in <cell line: 1>()
-----> 1 ((-Integer(1))*AS.z[Integer(0)]**Integer(2)*AS.z[Integer(1)] - AS.z[Integer(1)]**Integer(2))/AS.x**Integer(2).expansion_at_infty()
-
-File /ext/sage/9.7/src/sage/structure/element.pyx:494, in sage.structure.element.Element.__getattr__()
-    492         AttributeError: 'LeftZeroSemigroup_with_category.element_class' object has no attribute 'blah_blah'
-    493     """
---> 494     return self.getattr_from_category(name)
-    495 
-    496 cdef getattr_from_category(self, name):
-
-File /ext/sage/9.7/src/sage/structure/element.pyx:507, in sage.structure.element.Element.getattr_from_category()
-    505     else:
-    506         cls = P._abstract_element_class
---> 507     return getattr_from_other_class(self, cls, name)
-    508 
-    509 def __dir__(self):
-
-File /ext/sage/9.7/src/sage/cpython/getattr.pyx:361, in sage.cpython.getattr.getattr_from_other_class()
-    359     dummy_error_message.cls = type(self)
-    360     dummy_error_message.name = name
---> 361     raise AttributeError(dummy_error_message)
-    362 attribute = <object>attr
-    363 # Check for a descriptor (__get__ in Python)
-
-AttributeError: 'sage.rings.integer.Integer' object has no attribute 'expansion_at_infty'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l((-1)*AS.z[0]^2*AS.z[1] - AS.z[1]^2)/AS.x^2.expansion_at_infty()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l2).expansion_at_infty()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(((-1)*AS.z[0]^2*AS.z[1] - AS.z[1]^2)/AS.x^2).expansion_at_infty()[?7h[?12l[?25h[?25l[?7lsage: (((-1)*AS.z[0]^2*AS.z[1] - AS.z[1]^2)/AS.x^2).expansion_at_infty()

-[?7h[?12l[?25h[?2004l[?7ht^-6 + 2*t^2 + 2*t^6 + 2*t^10 + 2*t^14 + 2*t^18 + 2*t^22 + t^26 + 2*t^30 + t^38 + 2*t^42 + 2*t^46 + 2*t^54 + t^62 + t^66 + 2*t^74 + t^98 + 2*t^102 + t^106 + t^110 + 2*t^114 + t^118 + 2*t^122 + t^126 + 2*t^130 + 2*t^134 + 2*t^138 + t^146 + 2*t^154 + 2*t^158 + 2*t^162 + 2*t^166 + t^170 + t^174 + 2*t^182 + 2*t^190 + 2*t^198 + 2*t^214 + t^246 + 2*t^254 + 2*t^262 + 2*t^270 + t^278 + t^294 + 2*t^302 + 2*t^310 + t^318 + 2*t^326 + t^330 + t^334 + t^338 + t^342 + t^346 + t^354 + t^358 + 2*t^362 + 2*t^366 + t^370 + t^378 + 2*t^386 + t^390 + 2*t^398 + t^422 + 2*t^426 + t^430 + t^434 + 2*t^438 + t^442 + 2*t^446 + t^450 + 2*t^454 + 2*t^458 + 2*t^462 + t^470 + 2*t^474 + 2*t^478 + t^482 + 2*t^486 + t^490 + t^494 + t^514 + t^522 + t^530 + 2*t^538 + 2*t^546 + 2*t^554 + 2*t^562 + t^570 + 2*t^578 + 2*t^618 + t^626 + t^634 + t^658 + t^666 + t^674 + 2*t^682 + 2*t^762 + 2*t^770 + 2*t^778 + 2*t^786 + t^794 + 2*t^802 + 2*t^810 + t^818 + 2*t^906 + 2*t^914 + 2*t^922 + 2*t^930 + t^938 + 2*t^946 + 2*t^954 + t^962 + 2*t^966 + t^974 + t^978 + t^982 + t^986 + t^990 + O(t^994)
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(((-1)*AS.z[0]^2*AS.z[1] - AS.z[1]^2)/AS.x^2).expansion_at_infty()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)/AS.x^2).expansion_at_infty()[?7h[?12l[?25h[?25l[?7l)/AS.x^2).expansion_at_infty()[?7h[?12l[?25h[?25l[?7l)/AS.x^2).expansion_at_infty()[?7h[?12l[?25h[?25l[?7l)/AS.x^2).expansion_atinfty()[?7h[?12l[?25h[?25l[?7l)/AS.x^2).expansion_at_infty()[?7h[?12l[?25h[?25l[?7l)/AS.x^2).expansion_at_infty()[?7h[?12l[?25h[?25l[?7l)/AS.x^2).expansion_at_infty()[?7h[?12l[?25h[?25l[?7l)/AS.x^2).expansion_at_infty()[?7h[?12l[?25h[?25l[?7l)/AS.x^2).expansion_at_infty()[?7h[?12l[?25h[?25l[?7l)/AS.x^2).expansion_at_infty()[?7h[?12l[?25h[?25l[?7lsage: (((-1)*AS.z[0]^2*AS.z[1])/AS.x^2).expansion_at_infty()

-[?7h[?12l[?25h[?2004l[?7h2*t^-6 + 2*t^-2 + t^6 + t^10 + 2*t^14 + t^18 + t^22 + t^30 + 2*t^34 + t^38 + 2*t^42 + t^46 + 2*t^50 + t^54 + t^58 + t^70 + t^78 + t^82 + t^86 + 2*t^90 + t^94 + t^98 + 2*t^102 + t^110 + 2*t^122 + t^130 + t^134 + t^138 + t^142 + t^146 + t^154 + t^158 + t^162 + t^166 + 2*t^174 + t^178 + 2*t^182 + t^186 + t^190 + t^194 + t^202 + t^210 + t^214 + t^218 + t^226 + 2*t^230 + t^234 + 2*t^238 + t^242 + t^246 + t^250 + 2*t^254 + t^258 + t^266 + t^274 + 2*t^278 + t^282 + t^290 + 2*t^294 + t^298 + t^306 + t^310 + t^314 + 2*t^318 + 2*t^322 + 2*t^334 + 2*t^338 + t^366 + 2*t^374 + t^382 + t^386 + t^406 + 2*t^414 + t^422 + t^426 + 2*t^442 + 2*t^446 + 2*t^450 + t^454 + t^462 + 2*t^466 + t^470 + t^478 + 2*t^482 + t^486 + t^490 + 2*t^498 + t^502 + 2*t^506 + t^510 + t^514 + t^518 + t^526 + 2*t^530 + t^534 + t^542 + t^546 + t^550 + t^554 + t^558 + t^566 + t^570 + t^574 + t^582 + 2*t^586 + t^590 + 2*t^594 + t^598 + 2*t^602 + t^606 + 2*t^610 + t^614 + t^622 + 2*t^626 + t^630 + t^634 + t^638 + 2*t^642 + t^646 + 2*t^650 + t^654 + t^658 + t^662 + t^670 + 2*t^674 + t^678 + t^682 + t^686 + t^694 + 2*t^698 + t^702 + 2*t^706 + t^710 + 2*t^714 + t^718 + 2*t^722 + t^726 + 2*t^730 + t^734 + 2*t^738 + t^742 + 2*t^746 + t^750 + t^754 + t^758 + t^766 + t^770 + t^774 + t^782 + t^790 + t^798 + t^806 + t^814 + 2*t^818 + t^822 + t^830 + t^838 + t^846 + t^854 + t^862 + t^870 + t^878 + t^886 + t^894 + 2*t^898 + t^902 + t^906 + t^910 + 2*t^914 + t^918 + t^922 + t^926 + t^930 + t^934 + t^938 + t^942 + t^946 + t^950 + t^954 + t^958 + 2*t^966 + 2*t^970 + t^974 + 2*t^986 + O(t^994)
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(-z0^2*z1 - z1^2)/x^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(((-1)*AS.z[0]^2*AS.z[1])/AS.x^2).expansion_at_infty()[?7h[?12l[?25h[?25l[?7l - AS.z[1]^2)/AS.x^2).expansion_at_infty()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l().expansion_at_infty()[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: (((-1)*AS.z[0]^2*AS.z[1] - AS.z[1]^2)/AS.x^2).diffn()

-[?7h[?12l[?25h[?2004l[?7h((x^4*z0^2 - x^4*z1 + x^2*z0*z1 - z0^2*z1 - z1^2)/x^3) * dx
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(((-1)*AS.z[0]^2*AS.z[1] - AS.z[1]^2)/AS.x^2).diffn()[?7h[?12l[?25h[?25l[?7l)/AS.x^2).expansion_at_nty()[?7h[?12l[?25h[?25l[?7l - AS.z[1]^2)/AS.x^2).expansion_at_infty()[?7h[?12l[?25h[?25l[?7l-1)*AS.z[0]^2*AS.z[1] - AS.z[1]^2)/AS.x^2.expansion_at_infty()[?7h[?12l[?25h[?25l[?7l2[?7h[?12l[?25h[?25l[?7lAS.z[0]^2*AS.z[1] - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l-AS.z[0]^2*AS.z[1] - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7l(((-1)*AS.z[0]^2*AS.z[1] + AS.z[0]^2)/AS.x^2).expansion_at_infty()[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (1) * dx, 0 ) []
-hol_form (1) * dx
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (z1) * dx, 0 ) []
-hol_form (z1) * dx
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 ) []
-hol_form (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (z0 + 1) * dx, 0 ) []
-hol_form (z0 + 1) * dx
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (z0*z1 + z1) * dx, 0 ) []
-hol_form (z0*z1 + z1) * dx
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (z0^2 - z0 + 1) * dx, 0 ) []
-hol_form (z0^2 - z0 + 1) * dx
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (x) * dx, 0 ) []
-hol_form (x) * dx
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 ) []
-hol_form (-x*z0^2 + x*z0 + x*z1 - x) * dx
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (x*z0 + x) * dx, 0 ) []
-hol_form (x*z0 + x) * dx
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (x^2) * dx, 0 ) []
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (0) * dx, 0 ) []
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (0) * dx, 0 ) []
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-x^2) * dx, 0 ) []
-hol_form (-x^2) * dx
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-x^2 + z0*z1 - z1) * dx, 0 ) []
-hol_form (-x^2 + z0*z1 - z1) * dx
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-x^2) * dx, 0 ) []
-hol_form (-x^2) * dx
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-x^2*z0 - z0^2*z1 - z1^2) * dx, 0 ) []
-hol_form (-x^2*z0 - z0^2*z1 - z1^2) * dx
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-x*z0 + x) * dx, 0 ) []
-hol_form (-x*z0 + x) * dx
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-x*z0^2 + x*z1) * dx, 0 ) []
-hol_form (-x*z0^2 + x*z1) * dx
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 ) []
-hol_form (-x*z0^2 + x*z0 + x*z1 - x) * dx
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-z0*z1 + z1) * dx, (x^2*z1 - z0*z1^2 + z1^2)/x^3 ) []
-hol_form (-z0*z1 + z1) * dx
-(-z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (1) * dx, 0 ) []
-hol_form (1) * dx
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (z1 + 1) * dx, 0 ) []
-hol_form (z1 + 1) * dx
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx, 0 ) []
-hol_form (x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (z0) * dx, 0 ) []
-hol_form (z0) * dx
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (z0*z1 + z0) * dx, 0 ) []
-hol_form (z0*z1 + z0) * dx
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (z0^2) * dx, 0 ) []
-hol_form (z0^2) * dx
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (x) * dx, 0 ) []
-hol_form (x) * dx
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-x*z0^2 + x*z1 + x) * dx, 0 ) []
-hol_form (-x*z0^2 + x*z1 + x) * dx
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (x*z0) * dx, 0 ) []
-hol_form (x*z0) * dx
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (x^2) * dx, 0 ) []
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (0) * dx, 1/x ) []
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (x^2) * dx, 1/x ) []
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (0) * dx, z0/x ) []
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-z0^2) * dx, z0/x ) []
-hol_form (-z0^2) * dx
-(-z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (0) * dx, (z0^2 - z1)/x ) []
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (z0*z1 - z0) * dx, (z0^2 - z1)/x ) []
-hol_form (z0*z1 - z0) * dx
-(z0*z1 - z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (0) * dx, (-z1 + 1)/x^2 ) []
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (x*z0) * dx, (-z0*z1 + z0)/x^2 ) []
-hol_form (x*z0) * dx
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (0) * dx, (-z0^2*z1 + z0^2 - z1^2)/x^2 ) []
-( (0) * dx, (-z0^2*z1 - z1^2)/x^2 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
----------------------------------------------------------------------------
-ValueError                                Traceback (most recent call last)
-Input In [73], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:83, in coordinates(self, threshold, basis)
-
-ValueError: I arrived at a form (omega, 0), in which omega is not regular on U0. I hoped this wouldn t happen.
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7l(((-1)*AS.z[0]^2*AS.z[1] - AS.z[1]^2)/AS.x^2).diffn()[?7h[?12l[?25h[?25l[?7l)/AS.x^2).expansion_at_nty()[?7h[?12l[?25h[?25l[?7l - AS.z[1]^2)/AS.x^2).dfn()[?7h[?12l[?25h[?25l[?7lsage: (((-1)*AS.z[0]^2*AS.z[1] - AS.z[1]^2)/AS.x^2).diffn()

-[?7h[?12l[?25h[?2004l[?7h((x^4*z0^2 - x^4*z1 + x^2*z0*z1 - z0^2*z1 - z1^2)/x^3) * dx
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ sage
-┌────────────────────────────────────────────────────────────────────┐
-│ SageMath version 9.7, Release Date: 2022-09-19                     │
-│ Using Python 3.10.5. Type "help()" for help.                       │
-└────────────────────────────────────────────────────────────────────┘
-]0;IPython: DeRhamComputation/sage[?2004h[?1l[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (1) * dx, 0 ) []
-hol_form (1) * dx
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (z1) * dx, 0 ) []
-hol_form (z1) * dx
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 ) []
-hol_form (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (z0 + 1) * dx, 0 ) []
-hol_form (z0 + 1) * dx
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (z0*z1 + z1) * dx, 0 ) []
-hol_form (z0*z1 + z1) * dx
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (z0^2 - z0 + 1) * dx, 0 ) []
-hol_form (z0^2 - z0 + 1) * dx
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (x) * dx, 0 ) []
-hol_form (x) * dx
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 ) []
-hol_form (-x*z0^2 + x*z0 + x*z1 - x) * dx
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (x*z0 + x) * dx, 0 ) []
-hol_form (x*z0 + x) * dx
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (x^2) * dx, 0 ) []
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (0) * dx, 0 ) []
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (0) * dx, 0 ) []
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-x^2) * dx, 0 ) []
-hol_form (-x^2) * dx
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-x^2 + z0*z1 - z1) * dx, 0 ) []
-hol_form (-x^2 + z0*z1 - z1) * dx
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-x^2) * dx, 0 ) []
-hol_form (-x^2) * dx
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-x^2*z0 - z0^2*z1 - z1^2) * dx, 0 ) []
-hol_form (-x^2*z0 - z0^2*z1 - z1^2) * dx
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-x*z0 + x) * dx, 0 ) []
-hol_form (-x*z0 + x) * dx
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-x*z0^2 + x*z1) * dx, 0 ) []
-hol_form (-x*z0^2 + x*z1) * dx
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 ) []
-hol_form (-x*z0^2 + x*z0 + x*z1 - x) * dx
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-z0*z1 + z1) * dx, (x^2*z1 - z0*z1^2 + z1^2)/x^3 ) []
-hol_form (-z0*z1 + z1) * dx
-(-z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (1) * dx, 0 ) []
-hol_form (1) * dx
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (z1 + 1) * dx, 0 ) []
-hol_form (z1 + 1) * dx
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx, 0 ) []
-hol_form (x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (z0) * dx, 0 ) []
-hol_form (z0) * dx
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (z0*z1 + z0) * dx, 0 ) []
-hol_form (z0*z1 + z0) * dx
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (z0^2) * dx, 0 ) []
-hol_form (z0^2) * dx
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (x) * dx, 0 ) []
-hol_form (x) * dx
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-x*z0^2 + x*z1 + x) * dx, 0 ) []
-hol_form (-x*z0^2 + x*z1 + x) * dx
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (x*z0) * dx, 0 ) []
-hol_form (x*z0) * dx
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (x^2) * dx, 0 ) []
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (0) * dx, 1/x ) []
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (x^2) * dx, 1/x ) []
-hol_form (x^2) * dx
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (0) * dx, z0/x ) []
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (-z0^2) * dx, z0/x ) []
-hol_form (-z0^2) * dx
-(-z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (0) * dx, (z0^2 - z1)/x ) []
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (z0*z1 - z0) * dx, (z0^2 - z1)/x ) []
-hol_form (z0*z1 - z0) * dx
-(z0*z1 - z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (0) * dx, (-z1 + 1)/x^2 ) []
-hol_form (0) * dx
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (x*z0) * dx, (-z0*z1 + z0)/x^2 ) []
-hol_form (x*z0) * dx
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (0) * dx, (-z0^2*z1 + z0^2 - z1^2)/x^2 ) []
-( (0) * dx, (-z0^2*z1 - z1^2)/x^2 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
----------------------------------------------------------------------------
-ValueError                                Traceback (most recent call last)
-Input In [1], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:85, in coordinates(self, threshold, basis)
-
-ValueError: I arrived at a form (omega, 0), in which omega is not regular on U0. I hoped this wouldn t happen.
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(-z0^2*z1 - z1^2)/x^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAz0^2*z1 - z1^2)/x^2[?7h[?12l[?25h[?25l[?7lSz0^2*z1 - z1^2)/x^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(-ASz0^2*z1 - z1^2)/x^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l1ASz0^2*z1 - z1^2)/x^2[?7h[?12l[?25h[?25l[?7l()ASz0^2*z1 - z1^2)/x^2[?7h[?12l[?25h[?25l[?7l()*ASz0^2*z1 - z1^2)/x^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l.z0^2*z1 - z1^2)/x^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[0^2*z1 - z1^2)/x^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[]^2*z1 - z1^2)/x^2[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAz1 - z1^2)/x^2[?7h[?12l[?25h[?25l[?7lSz1 - z1^2)/x^2[?7h[?12l[?25h[?25l[?7l.z1 - z1^2)/x^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[1 - z1^2)/x^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[] - z1^2)/x^2[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAz1^2)/x^2[?7h[?12l[?25h[?25l[?7lSz1^2)/x^2[?7h[?12l[?25h[?25l[?7l.z1^2)/x^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[1^2)/x^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[]^2)/x^2[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lAx^2[?7h[?12l[?25h[?25l[?7lSx^2[?7h[?12l[?25h[?25l[?7l.x^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l.expansion_at_infty()[?7h[?12l[?25h[?25l[?7l2.expansion_at_infty()[?7h[?12l[?25h[?25l[?7lsage: ((-1)*AS.z[0]^2*AS.z[1] - AS.z[1]^2)/AS.x^2.expansion_at_infty()

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-AttributeError                            Traceback (most recent call last)
-Input In [2], in <cell line: 1>()
-----> 1 ((-Integer(1))*AS.z[Integer(0)]**Integer(2)*AS.z[Integer(1)] - AS.z[Integer(1)]**Integer(2))/AS.x**Integer(2).expansion_at_infty()
-
-File /ext/sage/9.7/src/sage/structure/element.pyx:494, in sage.structure.element.Element.__getattr__()
-    492         AttributeError: 'LeftZeroSemigroup_with_category.element_class' object has no attribute 'blah_blah'
-    493     """
---> 494     return self.getattr_from_category(name)
-    495 
-    496 cdef getattr_from_category(self, name):
-
-File /ext/sage/9.7/src/sage/structure/element.pyx:507, in sage.structure.element.Element.getattr_from_category()
-    505     else:
-    506         cls = P._abstract_element_class
---> 507     return getattr_from_other_class(self, cls, name)
-    508 
-    509 def __dir__(self):
-
-File /ext/sage/9.7/src/sage/cpython/getattr.pyx:361, in sage.cpython.getattr.getattr_from_other_class()
-    359     dummy_error_message.cls = type(self)
-    360     dummy_error_message.name = name
---> 361     raise AttributeError(dummy_error_message)
-    362 attribute = <object>attr
-    363 # Check for a descriptor (__get__ in Python)
-
-AttributeError: 'sage.rings.integer.Integer' object has no attribute 'expansion_at_infty'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l((-1)*AS.z[0]^2*AS.z[1] - AS.z[1]^2)/AS.x^2.expansion_at_infty()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l2[?7h[?12l[?25h[?25l[?7lsage: ((-1)*AS.z[0]^2*AS.z[1] - AS.z[1]^2)/AS.x^2

-[?7h[?12l[?25h[?2004l[?7h(-z0^2*z1 - z1^2)/x^2
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l((-1)*AS.z[0]^2*AS.z[1] - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(((-1)*AS.z[0]^2*AS.z[1] - AS.z[1]^2)/AS.x^2)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l2.)[?7h[?12l[?25h[?25l[?7l2)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l().diffn()[?7h[?12l[?25h[?25l[?7lexpasion_at_infty()[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ldiffn()[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: (((-1)*AS.z[0]^2*AS.z[1] - AS.z[1]^2)/AS.x^2).diffn()

-[?7h[?12l[?25h[?2004l[?7h((x^4*z0^2 - x^4*z1 + x^2*z0*z1 - z0^2*z1 - z1^2)/x^3) * dx
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lh[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7lomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lsage: AS.holomorphic_differentials_basis()

-[?7h[?12l[?25h[?2004l[?7h[(1) * dx,
- (z1) * dx,
- (x^2*z0 + z0^2*z1 + z1^2) * dx,
- (z0) * dx,
- (z0*z1) * dx,
- (z0^2) * dx,
- (x) * dx,
- (-x*z0^2 + x*z1) * dx,
- (x*z0) * dx,
- (x^2) * dx]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7l(((-1)*AS.z[0]^2*AS.z[1] - AS.z[1]^2)/AS.x^2).diffn()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)/AS.x^2).difn()[?7h[?12l[?25h[?25l[?7l)/AS.x^2).difn()[?7h[?12l[?25h[?25l[?7l)/AS.x^2).difn()[?7h[?12l[?25h[?25l[?7l)/AS.x^2).difn()[?7h[?12l[?25h[?25l[?7l)/AS.x^2).difn()[?7h[?12l[?25h[?25l[?7l)/AS.x^2).difn()[?7h[?12l[?25h[?25l[?7l)/AS.x^2).difn()[?7h[?12l[?25h[?25l[?7l)/AS.x^2).difn()[?7h[?12l[?25h[?25l[?7l)/AS.x^2).difn()[?7h[?12l[?25h[?25l[?7l)/AS.x^2).difn()[?7h[?12l[?25h[?25l[?7l)/AS.x^2).difn()[?7h[?12l[?25h[?25l[?7l)/AS.x^2).difn()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lv()[?7h[?12l[?25h[?25l[?7la()[?7h[?12l[?25h[?25l[?7ll()[?7h[?12l[?25h[?25l[?7lu()[?7h[?12l[?25h[?25l[?7la()[?7h[?12l[?25h[?25l[?7lt()[?7h[?12l[?25h[?25l[?7li()[?7h[?12l[?25h[?25l[?7lo()[?7h[?12l[?25h[?25l[?7ln()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: (((-1)*AS.z[0]^2*AS.z[1])/AS.x^2).valuation()

-[?7h[?12l[?25h[?2004l[?7h-6
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(((-1)*AS.z[0]^2*AS.z[1])/AS.x^2).valuation()[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l(((-1)*AS.z[0]^2*AS.z[1] - AS.z[1]^2)/AS.x^2).diffn()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[]- AS.z[1]^2)/AS.x^2).difn()[?7h[?12l[?25h[?25l[?7l[- AS.z[1]^2)/AS.x^2).difn()[?7h[?12l[?25h[?25l[?7l- AS.z[1]^2)/AS.x^2).difn()[?7h[?12l[?25h[?25l[?7l- AS.z[1]^2)/AS.x^2).difn()[?7h[?12l[?25h[?25l[?7l- AS.z[1]^2)/AS.x^2).difn()[?7h[?12l[?25h[?25l[?7l- AS.z[1]^2)/AS.x^2).difn()[?7h[?12l[?25h[?25l[?7l- AS.z[1]^2)/AS.x^2).difn()[?7h[?12l[?25h[?25l[?7l- AS.z[1]^2)/AS.x^2).difn()[?7h[?12l[?25h[?25l[?7l- AS.z[1]^2)/AS.x^2).difn()[?7h[?12l[?25h[?25l[?7l- AS.z[1]^2)/AS.x^2).difn()[?7h[?12l[?25h[?25l[?7l[]- AS.z[1]^2)/AS.x^2).difn()[?7h[?12l[?25h[?25l[?7l[- AS.z[1]^2)/AS.x^2).difn()[?7h[?12l[?25h[?25l[?7l- AS.z[1]^2)/AS.x^2).difn()[?7h[?12l[?25h[?25l[?7l- AS.z[1]^2)/AS.x^2).difn()[?7h[?12l[?25h[?25l[?7l- AS.z[1]^2)/AS.x^2).difn()[?7h[?12l[?25h[?25l[?7l- AS.z[1]^2)/AS.x^2).difn()[?7h[?12l[?25h[?25l[?7l- AS.z[1]^2)/AS.x^2).difn()[?7h[?12l[?25h[?25l[?7l- AS.z[1]^2)/AS.x^2).difn()[?7h[?12l[?25h[?25l[?7l()- AS.z[1]^2)/AS.x^2).difn()[?7h[?12l[?25h[?25l[?7l(- AS.z[1]^2)/AS.x^2).difn()[?7h[?12l[?25h[?25l[?7l- AS.z[1]^2)/AS.x^2).difn()[?7h[?12l[?25h[?25l[?7l AS.z[1]^2)/AS.x^2).difn()[?7h[?12l[?25h[?25l[?7l- AS.z[1]^2)/AS.x^2).difn()[?7h[?12l[?25h[?25l[?7lsage: ((- AS.z[1]^2)/AS.x^2).diffn()

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [7], in <cell line: 1>()
-----> 1 ((- AS.z[Integer(1)]**Integer(2))/AS.x**Integer(2)).diffn()
-
-TypeError: bad operand type for unary -: 'as_function'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l((- AS.z[1]^2)/AS.x^2).diffn()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(- AS.z[1]^2)/AS.x^2).difn()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l1 AS.z[1]^2)/AS.x^2).difn()[?7h[?12l[?25h[?25l[?7l() AS.z[1]^2)/AS.x^2).difn()[?7h[?12l[?25h[?25l[?7l()* AS.z[1]^2)/AS.x^2).difn()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: (((-1)* AS.z[1]^2)/AS.x^2).diffn()

-[?7h[?12l[?25h[?2004l[?7h((-x^4*z1 - z1^2)/x^3) * dx
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(((-1)* AS.z[1]^2)/AS.x^2).diffn()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lv[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: (((-1)* AS.z[1]^2)/AS.x^2).valuation()

-[?7h[?12l[?25h[?2004l[?7h-6
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7lsage: p

-[?7h[?12l[?25h[?2004l[?7h3
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7lsage: AS

-[?7h[?12l[?25h[?2004l[?7h(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(-z0^2*z1 - z1^2)/x^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lf(-z0^2*z1 - z1^2)/x^2[?7h[?12l[?25h[?25l[?7lf(-z0^2*z1 - z1^2)/x^2[?7h[?12l[?25h[?25l[?7l (-z0^2*z1 - z1^2)/x^2[?7h[?12l[?25h[?25l[?7l=(-z0^2*z1 - z1^2)/x^2[?7h[?12l[?25h[?25l[?7l (-z0^2*z1 - z1^2)/x^2[?7h[?12l[?25h[?25l[?7la(-z0^2*z1 - z1^2)/x^2[?7h[?12l[?25h[?25l[?7las(-z0^2*z1 - z1^2)/x^2[?7h[?12l[?25h[?25l[?7las_(-z0^2*z1 - z1^2)/x^2[?7h[?12l[?25h[?25l[?7lf(-z0^2*z1 - z1^2)/x^2[?7h[?12l[?25h[?25l[?7lu(-z0^2*z1 - z1^2)/x^2[?7h[?12l[?25h[?25l[?7ln(-z0^2*z1 - z1^2)/x^2[?7h[?12l[?25h[?25l[?7lc(-z0^2*z1 - z1^2)/x^2[?7h[?12l[?25h[?25l[?7lt(-z0^2*z1 - z1^2)/x^2[?7h[?12l[?25h[?25l[?7li(-z0^2*z1 - z1^2)/x^2[?7h[?12l[?25h[?25l[?7lo(-z0^2*z1 - z1^2)/x^2[?7h[?12l[?25h[?25l[?7ln(-z0^2*z1 - z1^2)/x^2[?7h[?12l[?25h[?25l[?7l((-z0^2*z1 - z1^2)/x^2[?7h[?12l[?25h[?25l[?7lA(-z0^2*z1 - z1^2)/x^2[?7h[?12l[?25h[?25l[?7lS(-z0^2*z1 - z1^2)/x^2[?7h[?12l[?25h[?25l[?7l,(-z0^2*z1 - z1^2)/x^2[?7h[?12l[?25h[?25l[?7l (-z0^2*z1 - z1^2)/x^2[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lRf = as_function(AS, (-z0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7lxf = as_function(AS, (-z0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7lyf = as_function(AS, (-z0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7lzf = as_function(AS, (-z0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7lQf = as_function(AS, (-z0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7l,f = as_function(AS, (-z0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7l f = as_function(AS, (-z0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7lRf = as_function(AS, (-z0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7lxf = as_function(AS, (-z0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7lyf = as_function(AS, (-z0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7lzf = as_function(AS, (-z0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7l,f = as_function(AS, (-z0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7l f = as_function(AS, (-z0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7lxf = as_function(AS, (-z0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7l,f = as_function(AS, (-z0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7l f = as_function(AS, (-z0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7lyf = as_function(AS, (-z0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7l,f = as_function(AS, (-z0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7lzf = as_function(AS, (-z0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7l f = as_function(AS, (-z0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7l=f = as_function(AS, (-z0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7l f = as_function(AS, (-z0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7lAf = as_function(AS, (-z0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7lSf = as_function(AS, (-z0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7l.f = as_function(AS, (-z0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7lf = as_function(AS, (-z0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7lcf = as_function(AS, (-z0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7ltf = as_function(AS, (-z0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7l_f = as_function(AS, (-z0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7lf = as_function(AS, (-z0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7lif = as_function(AS, (-z0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7lef = as_function(AS, (-z0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7llf = as_function(AS, (-z0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7ldf = as_function(AS, (-z0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7l(f = as_function(AS, (-z0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7l()f = as_function(AS, (-z0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7l();f = as_function(AS, (-z0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7l f = as_function(AS, (-z0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: RxyzQ, Rxyz, x, y,z = AS.fct_field(); ff = as_function(AS, (-z0^2*z1 - z1^2)/x^2)

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [12], in <cell line: 1>()
-----> 1 RxyzQ, Rxyz, x, y,z = AS.fct_field(); ff = as_function(AS, (-z0**Integer(2)*z1 - z1**Integer(2))/x**Integer(2))
-
-TypeError: 'tuple' object is not callable
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lRxyzQ, Rxyz, x, y,z = AS.fct_field(); ff = as_function(AS, (-z0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l(; f = as_function(AS, (-z0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7l; f = as_function(AS, (-z0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7lsage: RxyzQ, Rxyz, x, y,z = AS.fct_field; ff = as_function(AS, (-z0^2*z1 - z1^2)/x^2)

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-NameError                                 Traceback (most recent call last)
-Input In [13], in <cell line: 1>()
-----> 1 RxyzQ, Rxyz, x, y,z = AS.fct_field; ff = as_function(AS, (-z0**Integer(2)*z1 - z1**Integer(2))/x**Integer(2))
-
-NameError: name 'z0' is not defined
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lRxyzQ, Rxyz, x, y,z = AS.fct_field; ff = as_function(AS, (-z0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[]^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[] - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[1^2)/x^2)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[]^2)/x^2)[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l*z[1] - z[1]^2)/x^2)[?7h[?12l[?25h[?25l[?7l3*z[1] - z[1]^2)/x^2)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7lz[1]^2)/x^2)[?7h[?12l[?25h[?25l[?7l[z[1]^2)/x^2)[?7h[?12l[?25h[?25l[?7l[]z[1]^2)/x^2)[?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l0]z[1]^2)/x^2)[?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[]*z[1]^2)/x^2)[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(x^2)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l*))[?7h[?12l[?25h[?25l[?7lz))[?7h[?12l[?25h[?25l[?7l[))[?7h[?12l[?25h[?25l[?7l0))[?7h[?12l[?25h[?25l[?7l]))[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: RxyzQ, Rxyz, x, y,z = AS.fct_field; ff = as_function(AS, (-z[0]^3*z[1] - z[0]*z[1]^2)/(x^2*z[0]))

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lfor eta in AS.de_rham_basis():[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lfor eta in AS.de_rham_basis():[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7las[?7h[?12l[?25h[?25l[?7las_[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7lh[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7las[?7h[?12l[?25h[?25l[?7las_[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(),[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: fff = as_cech(AS, as_form(AS, 0), ff)

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lfff = as_cech(AS, as_form(AS, 0), ff)[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: fff.

- fff.coordinates  fff.group_action

- fff.curve        fff.omega0      

- fff.f            fff.omega8      

-

- [?7h[?12l[?25h[?25l[?7lcoordinates

- fff.coordinates 

-

-

- <unknown> [?7h[?12l[?25h[?25l[?7l

-

-

-

-[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: fff.coordinates()

-[?7h[?12l[?25h[?2004lz1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (0) * dx, (-z0^2*z1 - z1^2)/x^2 ) []
-( (0) * dx, (-z0^2*z1 - z1^2)/x^2 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
----------------------------------------------------------------------------
-ValueError                                Traceback (most recent call last)
-Input In [16], in <cell line: 1>()
-----> 1 fff.coordinates()
-
-File <string>:85, in coordinates(self, threshold, basis)
-
-ValueError: I arrived at a form (omega, 0), in which omega is not regular on U0. I hoped this wouldn t happen.
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lfff.coordinates()[?7h[?12l[?25h[?25l[?7l = as_cech(AS, as_form(AS, 0), ff)[?7h[?12l[?25h[?25l[?7lRxyzQ, Rxyz, x, y,z = AS.fct_field; ff = as_function(AS, (-z[0]^3*z[1] - z[0]*z[1]^2)/(x^2*z[0]))[?7h[?12l[?25h[?25l[?7lfff = as_cech(AS, as_form(AS, 0), ff)[?7h[?12l[?25h[?25l[?7l.coordinates()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7lsage: AS

-[?7h[?12l[?25h[?2004l[?7h(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lfct_field[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lfor[?7h[?12l[?25h[?25l[?7lform[?7h[?12l[?25h[?25l[?7lfor[?7h[?12l[?25h[?25l[?7lfo[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS[?7h[?12l[?25h[?25l[?7lfff.coordinates()[?7h[?12l[?25h[?25l[?7l = as_cech(AS, as_form(AS, 0), ff)[?7h[?12l[?25h[?25l[?7lRxyzQ, Rxyz, x, y,z = AS.fct_field; ff = as_function(AS, (-z[0]^3*z[1] - z[0]*z[1]^2)/(x^2*z[0]))[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l(z[0]^3*z[1] - z[0]*z[1]^2)/(x^2*z[0])[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()*z[1] - z[0]*z[1]^2)/(x^2*z[0])[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l+)*z[1] - z[0]*z[1]^2)/(x^2*z[0])[?7h[?12l[?25h[?25l[?7lx)*z[1] - z[0]*z[1]^2)/(x^2*z[0])[?7h[?12l[?25h[?25l[?7l^)*z[1] - z[0]*z[1]^2)/(x^2*z[0])[?7h[?12l[?25h[?25l[?7l2)*z[1] - z[0]*z[1]^2)/(x^2*z[0])[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l+x^2)*z[1] - z[0]*z[1]^2)/(x^2*z[0])[?7h[?12l[?25h[?25l[?7l[]+x^2)*z[1] - z[0]*z[1]^2)/(x^2*z[0])[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: RxyzQ, Rxyz, x, y,z = AS.fct_field; ff = as_function(AS, (-(z[0]+x^2)*z[1] - z[0]*z[1]^2)/(x^2*z[0]))

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lRxyzQ, Rxyz, x, y,z = AS.fct_field; ff = as_function(AS, (-(z[0]+x^2)*z[1] - z[0]*z[1]^2)/(x^2*z[0]))[?7h[?12l[?25h[?25l[?7lAS[?7h[?12l[?25h[?25l[?7lfff.coordinates()[?7h[?12l[?25h[?25l[?7l = as_cech(AS, as_form(AS, 0), ff)[?7h[?12l[?25h[?25l[?7lsage: fff = as_cech(AS, as_form(AS, 0), ff)

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lfff = as_cech(AS, as_form(AS, 0), ff)[?7h[?12l[?25h[?25l[?7lRxyzQ, Rxyz, x, y,z = AS.fct_field; ff = as_function(AS, (-(z[0]+x^2)*z[1] - z[0]*z[1]^2)/(x^2*z[0]))[?7h[?12l[?25h[?25l[?7lAS[?7h[?12l[?25h[?25l[?7lfff.coordinates()[?7h[?12l[?25h[?25l[?7l = as_cech(AS, as_form(AS, 0), ff)[?7h[?12l[?25h[?25l[?7lRxyzQ, Rxyz, x, y,z = AS.fct_field; ff = as_function(AS, (-z[0]^3*z[1] - z[0]*z[1]^2)/(x^2*z[0]))[?7h[?12l[?25h[?25l[?7l0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7l(); ff= as_function(AS, (-z0^2*z1- z1^2)/x^2)[?7h[?12l[?25h[?25l[?7lAS[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7l(((-1)* AS.z[1]^2)/AS.x^2).valuation()[?7h[?12l[?25h[?25l[?7ldiffn()[?7h[?12l[?25h[?25l[?7l- AS.z[1]^2)/AS.x^2).diffn()[?7h[?12l[?25h[?25l[?7l(-1)*AS.z[0]^2*AS.z[1])/AS.x^2).valuation()[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7l(((-1)*AS.z[0]^2*AS.z[1] - AS.z[1]^2)/AS.x^2).diffn()[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7l(((-1)*AS.z[0]^2*AS.z[1])/AS.x^2).valuation()[?7h[?12l[?25h[?25l[?7l- AS.z[1]^2)/AS.x^2).diffn()[?7h[?12l[?25h[?25l[?7l(-1)* AS.z[1]^2)/AS.x^2).diffn()[?7h[?12l[?25h[?25l[?7lvaluation()[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7lAS[?7h[?12l[?25h[?25l[?7lRxyzQ, Rxyz, x, y,z = AS.fct_field(); ff = as_function(AS, (-z0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7l; ff =as_function(AS, (-z0^2*z1 -z1^2)/x^2)[?7h[?12l[?25h[?25l[?7l[0]^3*z[1] - z[0]*z[1]^2)/(x^2*z[0]))[?7h[?12l[?25h[?25l[?7lfff = as_cech(AS, as_form(AS, 0), ff)[?7h[?12l[?25h[?25l[?7lRxyzQ, Rxyz, x, y,z = AS.fct_field; ff = as_function(AS, (-(z[0]+x^2)*z[1] - z[0]*z[1]^2)/(x^2*z[0]))[?7h[?12l[?25h[?25l[?7lfff = as_cech(AS, as_form(AS, 0), ff)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lfff = as_cech(AS, as_form(AS, 0), ff)[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7l.coordinates()[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lrdinates()[?7h[?12l[?25h[?25l[?7lsage: fff.coordinates()

-[?7h[?12l[?25h[?2004lz1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (0) * dx, (-x^2*z1 - z0*z1^2 - z0*z1)/(x^2*z0) ) []
-( (0) * dx, (-x^2*z1 - z0*z1^2)/(x^2*z0) ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
----------------------------------------------------------------------------
-ValueError                                Traceback (most recent call last)
-Input In [20], in <cell line: 1>()
-----> 1 fff.coordinates()
-
-File <string>:85, in coordinates(self, threshold, basis)
-
-ValueError: I arrived at a form (omega, 0), in which omega is not regular on U0. I hoped this wouldn t happen.
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lfff.coordinates()[?7h[?12l[?25h[?25l[?7l = as_cech(AS, as_form(AS, 0), ff)[?7h[?12l[?25h[?25l[?7lRxyzQ, Rxyz, x, y,z = AS.fct_field; ff = as_function(AS, (-(z[0]+x^2)*z[1] - z[0]*z[1]^2)/(x^2*z[0]))[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: RxyzQ, Rxyz, x, y,z = AS.fct_field; ff = as_function(AS, (-(z[0]+x^2)*z[1] - z[0]*z[1]^2)/(x^2*z[0]))

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7lsage: AS

-[?7h[?12l[?25h[?2004l[?7h(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS[?7h[?12l[?25h[?25l[?7lRxyzQ, Rxyz, x, y,z = AS.fct_field; ff = as_function(AS, (-(z[0]+x^2)*z[1] - z[0]*z[1]^2)/(x^2*z[0]))[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[]^ - z[0]*z[1]^2)/(x^2*z[0])[?7h[?12l[?25h[?25l[?7l2 - z[0]*z[1]^2)/(x^2*z[0])[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)/(x^2*z[0])[?7h[?12l[?25h[?25l[?7l)/(x^2*z[0])[?7h[?12l[?25h[?25l[?7l)/(x^2*z[0])[?7h[?12l[?25h[?25l[?7l)/(x^2*z[0])[?7h[?12l[?25h[?25l[?7l)/(x^2*z[0])[?7h[?12l[?25h[?25l[?7l)/(x^2*z[0])[?7h[?12l[?25h[?25l[?7l(()/(x^2*z[0])[?7h[?12l[?25h[?25l[?7l(())/(x^2*z[0])[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7lz))/(x^2*z[0])[?7h[?12l[?25h[?25l[?7l[))/(x^2*z[0])[?7h[?12l[?25h[?25l[?7l]))/(x^2*z[0])[?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l1])/(x^2*z[0])[?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l+))/(x^2*z[0])[?7h[?12l[?25h[?25l[?7lx))/(x^2*z[0])[?7h[?12l[?25h[?25l[?7l^))/(x^2*z[0])[?7h[?12l[?25h[?25l[?7l4))/(x^2*z[0])[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l*))[?7h[?12l[?25h[?25l[?7lz))[?7h[?12l[?25h[?25l[?7l[))[?7h[?12l[?25h[?25l[?7l1))[?7h[?12l[?25h[?25l[?7l]))[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: RxyzQ, Rxyz, x, y,z = AS.fct_field; ff = as_function(AS, (-(z[0]+x^2)*z[1]^2 - z[0]*(z[1]+x^4))/(x^2*z[0]*z[1]))

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lRxyzQ, Rxyz, x, y,z = AS.fct_field; ff = as_function(AS, (-(z[0]+x^2)*z[1]^2 - z[0]*(z[1]+x^4))/(x^2*z[0]*z[1]))[?7h[?12l[?25h[?25l[?7lAS[?7h[?12l[?25h[?25l[?7lRxyzQ, Rxyz, x, y,z = AS.fct_field; ff = as_function(AS, (-(z[0]+x^2)*z[1] - z[0]*z[1]^2)/(x^2*z[0]))[?7h[?12l[?25h[?25l[?7lfff.coordinates()[?7h[?12l[?25h[?25l[?7l = as_cech(AS, as_form(AS, 0), ff)[?7h[?12l[?25h[?25l[?7lsage: fff = as_cech(AS, as_form(AS, 0), ff)

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lfff = as_cech(AS, as_form(AS, 0), ff)[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7l.coordinates()[?7h[?12l[?25h[?25l[?7lcoordinates()[?7h[?12l[?25h[?25l[?7lsage: fff.coordinates()

-[?7h[?12l[?25h[?2004lz1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-( (0) * dx, (-x^4*z0 - x^2*z1^2 - z0*z1^2 - z0*z1)/(x^2*z0*z1) ) []
-( (0) * dx, (-x^2*z0 - z1^2)/(z0*z1) ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
----------------------------------------------------------------------------
-ValueError                                Traceback (most recent call last)
-Input In [25], in <cell line: 1>()
-----> 1 fff.coordinates()
-
-File <string>:85, in coordinates(self, threshold, basis)
-
-ValueError: I arrived at a form (omega, 0), in which omega is not regular on U0. I hoped this wouldn t happen.
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: 

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lq[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7l9[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: quit()

-[?7h[?12l[?25h[?2004l]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ cd ..
-]0;~/Research/2021 De Rham/DeRhamComputation~/Research/2021 De Rham/DeRhamComputation$ git add -u
-]0;~/Research/2021 De Rham/DeRhamComputation~/Research/2021 De Rham/DeRhamComputation$ git commit -cm "praca nad as_cech coordinate; przed poprawa drugiej czecsci"
-[master d77adde] praca nad as_cech coordinate; przed poprawa drugiej czesci
- 5 files changed, 11731 insertions(+), 54 deletions(-)
-]0;~/Research/2021 De Rham/DeRhamComputation~/Research/2021 De Rham/DeRhamComputation$ git push
-Username for 'https://git.wmi.amu.edu.pl': jgare  rnek
-Password for 'https://jgarnek@git.wmi.amu.edu.pl': 
-Enumerating objects: 35, done.
-Counting objects:   2% (1/35)
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Counting objects: 100% (35/35), done.
-Delta compression using up to 4 threads
-Compressing objects:   4% (1/23)
Compressing objects:   8% (2/23)
Compressing objects:  13% (3/23)
Compressing objects:  17% (4/23)
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Compressing objects: 100% (23/23), done.
-Writing objects:   4% (1/23)
Writing objects:   8% (2/23)
Writing objects:  13% (3/23)
Writing objects:  17% (4/23)
Writing objects:  21% (5/23)
Writing objects:  26% (6/23)
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Writing objects:  34% (8/23)
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Writing objects: 100% (23/23)
Writing objects: 100% (23/23), 66.79 KiB | 250.00 KiB/s, done.
-Total 23 (delta 19), reused 0 (delta 0)
-remote: . Processing 1 references
-remote: Processed 1 references in total
-To https://git.wmi.amu.edu.pl/jgarnek/DeRhamComputation.git
-   c098f37..d77adde  master -> master
-]0;~/Research/2021 De Rham/DeRhamComputation~/Research/2021 De Rham/DeRhamComputation$ sacd sage/
-]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ sage
-┌────────────────────────────────────────────────────────────────────┐
-│ SageMath version 9.7, Release Date: 2022-09-19                     │
-│ Using Python 3.10.5. Type "help()" for help.                       │
-└────────────────────────────────────────────────────────────────────┘
-]0;IPython: DeRhamComputation/sage[?2004h[?1l[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lfff.coordinates()[?7h[?12l[?25h[?25l[?7l = as_cech(AS, as_form(AS, 0), ff)[?7h[?12l[?25h[?25l[?7lRxyzQ, Rxyz, x, y,z = AS.fct_field; ff = as_function(AS, (-(z[0]+x^2)*z[1]^2 - z[0]*(z[1]+x^4))/(x^2*z[0]*z[1]))[?7h[?12l[?25h[?25l[?7lAS[?7h[?12l[?25h[?25l[?7lRxyzQ, Rxyz, x, y,z = AS.fct_field; ff = as_function(AS, (-(z[0]+x^2)*z[1] - z[0]*z[1]^2)/(x^2*z[0]))[?7h[?12l[?25h[?25l[?7lfff.coordinates()[?7h[?12l[?25h[?25l[?7l = as_cech(AS, as_form(AS, 0), ff)[?7h[?12l[?25h[?25l[?7lRxyzQ, Rxyz, x, y,z = AS.fct_field; ff = as_function(AS, (-(z[0]+x^2)*z[1] - z[0]*z[1]^2)/(x^2*z[0]))[?7h[?12l[?25h[?25l[?7lAS[?7h[?12l[?25h[?25l[?7lfff.coordinates()[?7h[?12l[?25h[?25l[?7l = as_cech(AS, as_form(AS, 0), ff)[?7h[?12l[?25h[?25l[?7lRxyzQ, Rxyz, x, y,z = AS.fct_field; ff = as_function(AS, (-z[0]^3*z[1] - z[0]*z[1]^2)/(x^2*z[0]))[?7h[?12l[?25h[?25l[?7l0^2*z1 - z1^2)/x^2)[?7h[?12l[?25h[?25l[?7l(); ff= as_function(AS, (-z0^2*z1- z1^2)/x^2)[?7h[?12l[?25h[?25l[?7lAS[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7l(((-1)* AS.z[1]^2)/AS.x^2).valuation()[?7h[?12l[?25h[?25l[?7ldiffn()[?7h[?12l[?25h[?25l[?7l- AS.z[1]^2)/AS.x^2).diffn()[?7h[?12l[?25h[?25l[?7l(-1)*AS.z[0]^2*AS.z[1])/AS.x^2).valuation()[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7l(((-1)*AS.z[0]^2*AS.z[1] - AS.z[1]^2)/AS.x^2).diffn()[?7h[?12l[?25h[?25l[?7l-1)*AS.z[0]^2*AS.z[1] - AS.z[1]^2)/AS.x^2[?7h[?12l[?25h[?25l[?7l2.expansion_at_infty()[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7l(((-1)*AS.z[0]^2*AS.z[1] - AS.z[1]^2)/AS.x^2).diffn()[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
----------------------------------------------------------------------------
-AttributeError                            Traceback (most recent call last)
-Input In [1], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:83, in coordinates(self, threshold, basis)
-
-AttributeError: 'as_cech' object has no attribute 'form'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [2], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:69, in coordinates(self, threshold, basis)
-
-File /ext/sage/9.7/src/sage/rings/integer.pyx:1964, in sage.rings.integer.Integer.__mul__()
-   1962         return y
-   1963 
--> 1964     return coercion_model.bin_op(left, right, operator.mul)
-   1965 
-   1966 cpdef _mul_(self, right):
-
-File /ext/sage/9.7/src/sage/structure/coerce.pyx:1242, in sage.structure.coerce.CoercionModel.bin_op()
-   1240 mul_method = getattr(y, '__r%s__'%op_name, None)
-   1241 if mul_method is not None:
--> 1242     res = mul_method(x)
-   1243     if res is not None and res is not NotImplemented:
-   1244         return res
-
-File /ext/sage/9.7/src/sage/structure/parent.pyx:989, in sage.structure.parent.Parent.__mul__()
-    987         pass
-    988 if _mul_ is None:
---> 989     raise TypeError(_LazyString("For implementing multiplication, provide the method '_mul_' for %s resp. %s", (self, x), {}))
-    990 if switch:
-    991     return _mul_(self, switch_sides=True)
-
-TypeError: For implementing multiplication, provide the method '_mul_' for 10 resp. R Interpreter
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
----------------------------------------------------------------------------
-NameError                                 Traceback (most recent call last)
-Input In [3], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:74, in coordinates(self, threshold, basis)
-
-NameError: name 'pr' is not defined
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [4], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:72, in coordinates(self, threshold, basis)
-
-TypeError: 'function' object cannot be interpreted as an integer
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
----------------------------------------------------------------------------
-UnboundLocalError                         Traceback (most recent call last)
-Input In [5], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:9, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:79, in coordinates(self, threshold, basis)
-
-UnboundLocalError: local variable 'S' referenced before assignment
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-z1/x
-z1^2/x
-z0*z1/x
-z0*z1^2/x
-z0^2*z1/x
-z0^2*z1^2/x
-z1^2/x^2
-z0*z1^2/x^2
-z0^2*z1^2/x^2
-z0^2*z1^2/x^3
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]]
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [6], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:30, in group_action_matrices_dR(AS, threshold)
-
-File <string>:10, in group_action_matrices(space, list_of_group_elements, basis)
-
-File /ext/sage/9.7/src/sage/modules/free_module_element.pyx:580, in sage.modules.free_module_element.vector()
-    578         sparse = False
-    579 
---> 580 v, R = prepare(v, R, degree)
-    581 
-    582 M = FreeModule(R, len(v), bool(sparse))
-
-File /ext/sage/9.7/src/sage/modules/free_module_element.pyx:678, in sage.modules.free_module_element.prepare()
-    676     except TypeError:
-    677         pass
---> 678 v = Sequence(v, universe=R, use_sage_types=True)
-    679 ring = v.universe()
-    680 if not is_Ring(ring):
-
-File /ext/sage/9.7/src/sage/structure/sequence.py:232, in Sequence(x, universe, check, immutable, cr, cr_str, use_sage_types)
-    230 if universe is None:
-    231     orig_x = x
---> 232     x = list(x)  # make a copy even if x is a list, we're going to change it
-    234     if len(x) == 0:
-    235         from sage.categories.objects import Objects
-
-TypeError: 'NoneType' object is not iterable
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[1 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[1 0 0 0 0 0 0 0 0 0]
-[0 1 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[1 0 0 0 0 0 0 0 0 0]
-[0 1 1 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 2 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[1 0 0 1 0 0 0 0 0 0]
-[0 1 1 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 0 0 0 0 0]
-[0 0 2 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[1 0 0 1 0 0 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 0 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[1 0 0 1 0 1 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 2 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[1 0 0 1 0 1 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 2 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[1 0 0 1 0 1 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 2 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 2 0 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 1 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[1 0 0 1 0 1 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 2 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 2 1 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 1 1 0]
-[0 0 1 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[1 0 0 1 0 1 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 2 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 2 1 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 1 1 0]
-[0 0 1 0 0 0 0 0 0 1], [0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[1 0 0 1 0 1 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 2 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 2 1 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 1 1 0]
-[0 0 1 0 0 0 0 0 0 1], [1 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[1 0 0 1 0 1 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 2 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 2 1 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 1 1 0]
-[0 0 1 0 0 0 0 0 0 1], [1 1 0 0 0 0 0 0 0 0]
-[0 1 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[1 0 0 1 0 1 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 2 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 2 1 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 1 1 0]
-[0 0 1 0 0 0 0 0 0 1], [1 1 1 0 0 0 0 0 0 0]
-[0 1 2 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[1 0 0 1 0 1 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 2 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 2 1 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 1 1 0]
-[0 0 1 0 0 0 0 0 0 1], [1 1 1 0 0 0 0 0 0 0]
-[0 1 2 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[1 0 0 1 0 1 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 2 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 2 1 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 1 1 0]
-[0 0 1 0 0 0 0 0 0 1], [1 1 1 0 0 0 0 0 0 0]
-[0 1 2 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 1 0 0 0 0 0]
-[0 0 0 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[1 0 0 1 0 1 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 2 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 2 1 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 1 1 0]
-[0 0 1 0 0 0 0 0 0 1], [1 1 1 0 0 0 0 0 0 0]
-[0 1 2 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 1 0 0 0 0 0]
-[0 0 0 0 1 0 0 0 0 0]
-[0 0 1 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[1 0 0 1 0 1 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 2 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 2 1 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 1 1 0]
-[0 0 1 0 0 0 0 0 0 1], [1 1 1 0 0 0 0 0 0 0]
-[0 1 2 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 1 0 0 0 0 0]
-[0 0 0 0 1 0 0 0 0 0]
-[0 0 1 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[1 0 0 1 0 1 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 2 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 2 1 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 1 1 0]
-[0 0 1 0 0 0 0 0 0 1], [1 1 1 0 0 0 0 0 0 0]
-[0 1 2 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 1 0 0 0 0 0]
-[0 0 0 0 1 0 0 0 0 0]
-[0 0 1 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 1 0 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[[1 0 0 1 0 1 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 2 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 2 1 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 1 1 0]
-[0 0 1 0 0 0 0 0 0 1], [1 1 1 0 0 0 0 0 0 0]
-[0 1 2 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 1 0 0 0 0 0]
-[0 0 0 0 1 0 0 0 0 0]
-[0 0 1 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 1 0 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 0 1 0]
-[0 0 0 0 0 0 0 0 0 0]]
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-[20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [7], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:31, in group_action_matrices_dR(AS, threshold)
-
-File <string>:11, in group_action_matrices(space, list_of_group_elements, basis)
-
-File /ext/sage/9.7/src/sage/modules/free_module_element.pyx:580, in sage.modules.free_module_element.vector()
-    578         sparse = False
-    579 
---> 580 v, R = prepare(v, R, degree)
-    581 
-    582 M = FreeModule(R, len(v), bool(sparse))
-
-File /ext/sage/9.7/src/sage/modules/free_module_element.pyx:678, in sage.modules.free_module_element.prepare()
-    676     except TypeError:
-    677         pass
---> 678 v = Sequence(v, universe=R, use_sage_types=True)
-    679 ring = v.universe()
-    680 if not is_Ring(ring):
-
-File /ext/sage/9.7/src/sage/structure/sequence.py:232, in Sequence(x, universe, check, immutable, cr, cr_str, use_sage_types)
-    230 if universe is None:
-    231     orig_x = x
---> 232     x = list(x)  # make a copy even if x is a list, we're going to change it
-    234     if len(x) == 0:
-    235         from sage.categories.objects import Objects
-
-TypeError: 'NoneType' object is not iterable
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 0 [[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-2: 0 0 [[1 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 1 [[1 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-2: 0 1 [[1 0 0 0 0 0 0 0 0 0]
-[0 1 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 2 [[1 0 0 0 0 0 0 0 0 0]
-[0 1 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-2: 0 2 [[1 0 0 0 0 0 0 0 0 0]
-[0 1 1 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 2 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 3 [[1 0 0 0 0 0 0 0 0 0]
-[0 1 1 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 2 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-2: 0 3 [[1 0 0 1 0 0 0 0 0 0]
-[0 1 1 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 0 0 0 0 0]
-[0 0 2 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 4 [[1 0 0 1 0 0 0 0 0 0]
-[0 1 1 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 0 0 0 0 0]
-[0 0 2 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-2: 0 4 [[1 0 0 1 0 0 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 0 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 5 [[1 0 0 1 0 0 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 0 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-2: 0 5 [[1 0 0 1 0 1 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 2 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 6 [[1 0 0 1 0 1 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 2 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-2: 0 6 [[1 0 0 1 0 1 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 2 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 7 [[1 0 0 1 0 1 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 2 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-2: 0 7 [[1 0 0 1 0 1 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 2 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 2 0 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 1 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 8 [[1 0 0 1 0 1 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 2 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 2 0 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 1 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-2: 0 8 [[1 0 0 1 0 1 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 2 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 2 1 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 1 1 0]
-[0 0 1 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 9 [[1 0 0 1 0 1 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 2 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 2 1 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 1 1 0]
-[0 0 1 0 0 0 0 0 0 0], [0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-2: 0 9 [[1 0 0 1 0 1 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 2 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 2 1 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 1 1 0]
-[0 0 1 0 0 0 0 0 0 1], [0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-1 0 [[1 0 0 1 0 1 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 2 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 2 1 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 1 1 0]
-[0 0 1 0 0 0 0 0 0 1], [0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-2: 1 0 [[1 0 0 1 0 1 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 2 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 2 1 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 1 1 0]
-[0 0 1 0 0 0 0 0 0 1], [1 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-1 1 [[1 0 0 1 0 1 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 2 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 2 1 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 1 1 0]
-[0 0 1 0 0 0 0 0 0 1], [1 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-2: 1 1 [[1 0 0 1 0 1 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 2 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 2 1 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 1 1 0]
-[0 0 1 0 0 0 0 0 0 1], [1 1 0 0 0 0 0 0 0 0]
-[0 1 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-1 2 [[1 0 0 1 0 1 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 2 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 2 1 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 1 1 0]
-[0 0 1 0 0 0 0 0 0 1], [1 1 0 0 0 0 0 0 0 0]
-[0 1 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-2: 1 2 [[1 0 0 1 0 1 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 2 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 2 1 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 1 1 0]
-[0 0 1 0 0 0 0 0 0 1], [1 1 1 0 0 0 0 0 0 0]
-[0 1 2 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-1 3 [[1 0 0 1 0 1 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 2 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 2 1 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 1 1 0]
-[0 0 1 0 0 0 0 0 0 1], [1 1 1 0 0 0 0 0 0 0]
-[0 1 2 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-2: 1 3 [[1 0 0 1 0 1 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 2 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 2 1 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 1 1 0]
-[0 0 1 0 0 0 0 0 0 1], [1 1 1 0 0 0 0 0 0 0]
-[0 1 2 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-1 4 [[1 0 0 1 0 1 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 2 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 2 1 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 1 1 0]
-[0 0 1 0 0 0 0 0 0 1], [1 1 1 0 0 0 0 0 0 0]
-[0 1 2 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-2: 1 4 [[1 0 0 1 0 1 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 2 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 2 1 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 1 1 0]
-[0 0 1 0 0 0 0 0 0 1], [1 1 1 0 0 0 0 0 0 0]
-[0 1 2 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 1 0 0 0 0 0]
-[0 0 0 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-1 5 [[1 0 0 1 0 1 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 2 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 2 1 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 1 1 0]
-[0 0 1 0 0 0 0 0 0 1], [1 1 1 0 0 0 0 0 0 0]
-[0 1 2 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 1 0 0 0 0 0]
-[0 0 0 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-2: 1 5 [[1 0 0 1 0 1 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 2 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 2 1 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 1 1 0]
-[0 0 1 0 0 0 0 0 0 1], [1 1 1 0 0 0 0 0 0 0]
-[0 1 2 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 1 0 0 0 0 0]
-[0 0 0 0 1 0 0 0 0 0]
-[0 0 1 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-1 6 [[1 0 0 1 0 1 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 2 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 2 1 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 1 1 0]
-[0 0 1 0 0 0 0 0 0 1], [1 1 1 0 0 0 0 0 0 0]
-[0 1 2 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 1 0 0 0 0 0]
-[0 0 0 0 1 0 0 0 0 0]
-[0 0 1 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-2: 1 6 [[1 0 0 1 0 1 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 2 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 2 1 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 1 1 0]
-[0 0 1 0 0 0 0 0 0 1], [1 1 1 0 0 0 0 0 0 0]
-[0 1 2 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 1 0 0 0 0 0]
-[0 0 0 0 1 0 0 0 0 0]
-[0 0 1 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-1 7 [[1 0 0 1 0 1 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 2 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 2 1 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 1 1 0]
-[0 0 1 0 0 0 0 0 0 1], [1 1 1 0 0 0 0 0 0 0]
-[0 1 2 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 1 0 0 0 0 0]
-[0 0 0 0 1 0 0 0 0 0]
-[0 0 1 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-2: 1 7 [[1 0 0 1 0 1 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 2 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 2 1 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 1 1 0]
-[0 0 1 0 0 0 0 0 0 1], [1 1 1 0 0 0 0 0 0 0]
-[0 1 2 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 1 0 0 0 0 0]
-[0 0 0 0 1 0 0 0 0 0]
-[0 0 1 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 1 0 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-1 8 [[1 0 0 1 0 1 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 2 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 2 1 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 1 1 0]
-[0 0 1 0 0 0 0 0 0 1], [1 1 1 0 0 0 0 0 0 0]
-[0 1 2 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 1 0 0 0 0 0]
-[0 0 0 0 1 0 0 0 0 0]
-[0 0 1 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 1 0 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]]
-2: 1 8 [[1 0 0 1 0 1 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 2 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 2 1 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 1 1 0]
-[0 0 1 0 0 0 0 0 0 1], [1 1 1 0 0 0 0 0 0 0]
-[0 1 2 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 1 0 0 0 0 0]
-[0 0 0 0 1 0 0 0 0 0]
-[0 0 1 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 1 0 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 0 1 0]
-[0 0 0 0 0 0 0 0 0 0]]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-1 9 [[1 0 0 1 0 1 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 2 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 2 1 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 1 1 0]
-[0 0 1 0 0 0 0 0 0 1], [1 1 1 0 0 0 0 0 0 0]
-[0 1 2 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 1 0 0 0 0 0]
-[0 0 0 0 1 0 0 0 0 0]
-[0 0 1 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 1 0 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 0 1 0]
-[0 0 0 0 0 0 0 0 0 0]]
-2: 1 9 [[1 0 0 1 0 1 0 0 0 0]
-[0 1 1 0 1 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 0 2 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 2 1 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 1 1 0]
-[0 0 1 0 0 0 0 0 0 1], [1 1 1 0 0 0 0 0 0 0]
-[0 1 2 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 0 0 1 1 0 0 0 0 0]
-[0 0 0 0 1 0 0 0 0 0]
-[0 0 1 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 1 0 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 0 1 0]
-[0 0 0 0 0 0 0 0 0 1]]
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 3 over GF(3),
-RModule of dimension 6 over GF(3)
-]
-None
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 0 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-2: 0 0 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 1 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-2: 0 1 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 2 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-2: 0 2 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 3 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-2: 0 3 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 4 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-2: 0 4 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 5 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-2: 0 5 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 6 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-2: 0 6 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 7 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-2: 0 7 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 8 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-2: 0 8 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 9 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-2: 0 9 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 10 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-2: 0 10 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 11 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-2: 0 11 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 12 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-2: 0 12 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 13 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-2: 0 13 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 14 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-2: 0 14 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 15 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-2: 0 15 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 16 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-2: 0 16 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 17 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-2: 0 17 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 18 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-2: 0 18 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-0 19 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [8], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:32, in group_action_matrices_dR(AS, threshold)
-
-File <string>:11, in group_action_matrices(space, list_of_group_elements, basis)
-
-File /ext/sage/9.7/src/sage/modules/free_module_element.pyx:580, in sage.modules.free_module_element.vector()
-    578         sparse = False
-    579 
---> 580 v, R = prepare(v, R, degree)
-    581 
-    582 M = FreeModule(R, len(v), bool(sparse))
-
-File /ext/sage/9.7/src/sage/modules/free_module_element.pyx:678, in sage.modules.free_module_element.prepare()
-    676     except TypeError:
-    677         pass
---> 678 v = Sequence(v, universe=R, use_sage_types=True)
-    679 ring = v.universe()
-    680 if not is_Ring(ring):
-
-File /ext/sage/9.7/src/sage/structure/sequence.py:232, in Sequence(x, universe, check, immutable, cr, cr_str, use_sage_types)
-    230 if universe is None:
-    231     orig_x = x
---> 232     x = list(x)  # make a copy even if x is a list, we're going to change it
-    234     if len(x) == 0:
-    235         from sage.categories.objects import Objects
-
-TypeError: 'NoneType' object is not iterable
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 0 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-2: 0 0 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 1 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-2: 0 1 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 2 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-2: 0 2 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 3 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-2: 0 3 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 4 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-2: 0 4 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 5 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-2: 0 5 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 6 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-2: 0 6 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 7 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-2: 0 7 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 8 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-2: 0 8 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 9 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-2: 0 9 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 10 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-2: 0 10 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 11 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-2: 0 11 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 12 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-2: 0 12 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 13 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-2: 0 13 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 14 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-2: 0 14 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 15 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-2: 0 15 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 16 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-2: 0 16 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 17 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-2: 0 17 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 18 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-2: 0 18 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-0 19 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [9], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:32, in group_action_matrices_dR(AS, threshold)
-
-File <string>:11, in group_action_matrices(space, list_of_group_elements, basis)
-
-File /ext/sage/9.7/src/sage/modules/free_module_element.pyx:580, in sage.modules.free_module_element.vector()
-    578         sparse = False
-    579 
---> 580 v, R = prepare(v, R, degree)
-    581 
-    582 M = FreeModule(R, len(v), bool(sparse))
-
-File /ext/sage/9.7/src/sage/modules/free_module_element.pyx:678, in sage.modules.free_module_element.prepare()
-    676     except TypeError:
-    677         pass
---> 678 v = Sequence(v, universe=R, use_sage_types=True)
-    679 ring = v.universe()
-    680 if not is_Ring(ring):
-
-File /ext/sage/9.7/src/sage/structure/sequence.py:232, in Sequence(x, universe, check, immutable, cr, cr_str, use_sage_types)
-    230 if universe is None:
-    231     orig_x = x
---> 232     x = list(x)  # make a copy even if x is a list, we're going to change it
-    234     if len(x) == 0:
-    235         from sage.categories.objects import Objects
-
-TypeError: 'NoneType' object is not iterable
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 0 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 0 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 1 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 1 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 2 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 2 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 3 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 3 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 4 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 4 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 5 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 5 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 6 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 6 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 7 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 7 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 8 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 8 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 9 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 9 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 10 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 10 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 11 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-[0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 11 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 12 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-[1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 12 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 13 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-[0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 13 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 14 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-[1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 14 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 15 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-[0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 15 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 16 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-[0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 16 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 17 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-[0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 17 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 18 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-[0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 18 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-0 19 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-None
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [10], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:34, in group_action_matrices_dR(AS, threshold)
-
-File <string>:13, in group_action_matrices(space, list_of_group_elements, basis)
-
-File /ext/sage/9.7/src/sage/modules/free_module_element.pyx:580, in sage.modules.free_module_element.vector()
-    578         sparse = False
-    579 
---> 580 v, R = prepare(v, R, degree)
-    581 
-    582 M = FreeModule(R, len(v), bool(sparse))
-
-File /ext/sage/9.7/src/sage/modules/free_module_element.pyx:678, in sage.modules.free_module_element.prepare()
-    676     except TypeError:
-    677         pass
---> 678 v = Sequence(v, universe=R, use_sage_types=True)
-    679 ring = v.universe()
-    680 if not is_Ring(ring):
-
-File /ext/sage/9.7/src/sage/structure/sequence.py:232, in Sequence(x, universe, check, immutable, cr, cr_str, use_sage_types)
-    230 if universe is None:
-    231     orig_x = x
---> 232     x = list(x)  # make a copy even if x is a list, we're going to change it
-    234     if len(x) == 0:
-    235         from sage.categories.objects import Objects
-
-TypeError: 'NoneType' object is not iterable
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 0 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 0 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 1 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 1 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 2 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 2 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 3 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 3 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 4 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 4 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 5 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 5 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 6 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 6 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 7 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 7 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 8 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 8 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 9 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 9 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 10 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 10 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 11 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-[0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 11 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 12 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-[1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 12 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2]
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 13 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-[0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 13 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 14 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-[1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 14 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0]
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 15 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-[0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 15 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0]
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 16 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-[0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 16 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 17 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-[0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 17 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 18 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-[0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 18 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-0 19 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-None
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [11], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:34, in group_action_matrices_dR(AS, threshold)
-
-File <string>:13, in group_action_matrices(space, list_of_group_elements, basis)
-
-File /ext/sage/9.7/src/sage/modules/free_module_element.pyx:580, in sage.modules.free_module_element.vector()
-    578         sparse = False
-    579 
---> 580 v, R = prepare(v, R, degree)
-    581 
-    582 M = FreeModule(R, len(v), bool(sparse))
-
-File /ext/sage/9.7/src/sage/modules/free_module_element.pyx:678, in sage.modules.free_module_element.prepare()
-    676     except TypeError:
-    677         pass
---> 678 v = Sequence(v, universe=R, use_sage_types=True)
-    679 ring = v.universe()
-    680 if not is_Ring(ring):
-
-File /ext/sage/9.7/src/sage/structure/sequence.py:232, in Sequence(x, universe, check, immutable, cr, cr_str, use_sage_types)
-    230 if universe is None:
-    231     orig_x = x
---> 232     x = list(x)  # make a copy even if x is a list, we're going to change it
-    234     if len(x) == 0:
-    235         from sage.categories.objects import Objects
-
-TypeError: 'NoneType' object is not iterable
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 0 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (1) * dx, 0 ) ( (1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 0 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 1 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z1) * dx, 0 ) ( (z1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]
-[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 1 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 2 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z0 + z0^2*z1 + z1^2) * dx, 0 ) ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1]
-[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 2 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 3 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0) * dx, 0 ) ( (z0 + 1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0]
-[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 3 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 4 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0*z1) * dx, 0 ) ( (z0*z1 + z1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]
-[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 4 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 5 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0^2) * dx, 0 ) ( (z0^2 - z0 + 1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0]
-[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 5 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 6 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x) * dx, 0 ) ( (x) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]
-[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 6 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 7 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (-x*z0^2 + x*z1) * dx, 0 ) ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 7 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 8 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0) * dx, 0 ) ( (x*z0 + x) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0]
-[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 8 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 9 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2) * dx, 0 ) ( (x^2) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
-[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 9 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 10 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (0) * dx, z1/x ) ( (0) * dx, z1/x ) [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 10 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 11 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z1) * dx, z1^2/x ) ( (x^2*z1) * dx, z1^2/x ) [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-[0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 11 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 12 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (-x^2*z0) * dx, z0*z1/x ) ( (-x^2*z0 - x^2) * dx, (z0*z1 + z1)/x ) [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-[1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 12 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2]
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 13 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z0*z1 - x^2*z0 - z0^2*z1) * dx, z0*z1^2/x ) ( (x^2*z0*z1 - x^2*z0 + x^2*z1 - z0^2*z1 - x^2 + z0*z1 - z1) * dx, (z0*z1^2 + z1^2)/x ) [0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2]
-[0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 13 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 14 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (-x^2*z0^2) * dx, z0^2*z1/x ) ( (-x^2*z0^2 + x^2*z0 - x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x ) [1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-[1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 14 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0]
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 15 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z0^2*z1 - z0*z1^2) * dx, z0^2*z1^2/x ) ( (x^2*z0^2*z1 - x^2*z0*z1 + x^2*z1 - z0*z1^2 - z1^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x ) [0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0]
-[0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 15 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0]
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 16 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0^2) * dx, z1^2/x^2 ) ( (x*z0^2 - x*z0 + x) * dx, z1^2/x^2 ) [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0]
-[0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 16 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 17 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0*z1) * dx, z0*z1^2/x^2 ) ( (x*z0*z1 + x*z1) * dx, (z0*z1^2 + z1^2)/x^2 ) [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]
-[0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 17 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-0 18 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0^2*z1 - x*z0^2) * dx, z0^2*z1^2/x^2 ) ( (x*z0^2*z1 - x*z0^2 - x*z0*z1 + x*z0 + x*z1 - x) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 ) [0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-[0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-2: 0 18 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3]
-0 19 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0^2*z1) * dx, z0^2*z1^2/x^3 ) ( (z0^2*z1 - z0*z1 + z1) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 ) None
-None
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
-[0]
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [12], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:34, in group_action_matrices_dR(AS, threshold)
-
-File <string>:13, in group_action_matrices(space, list_of_group_elements, basis)
-
-File /ext/sage/9.7/src/sage/modules/free_module_element.pyx:580, in sage.modules.free_module_element.vector()
-    578         sparse = False
-    579 
---> 580 v, R = prepare(v, R, degree)
-    581 
-    582 M = FreeModule(R, len(v), bool(sparse))
-
-File /ext/sage/9.7/src/sage/modules/free_module_element.pyx:678, in sage.modules.free_module_element.prepare()
-    676     except TypeError:
-    677         pass
---> 678 v = Sequence(v, universe=R, use_sage_types=True)
-    679 ring = v.universe()
-    680 if not is_Ring(ring):
-
-File /ext/sage/9.7/src/sage/structure/sequence.py:232, in Sequence(x, universe, check, immutable, cr, cr_str, use_sage_types)
-    230 if universe is None:
-    231     orig_x = x
---> 232     x = list(x)  # make a copy even if x is a list, we're going to change it
-    234     if len(x) == 0:
-    235         from sage.categories.objects import Objects
-
-TypeError: 'NoneType' object is not iterable
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 0 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (1) * dx, 0 ) ( (1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 1 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z1) * dx, 0 ) ( (z1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 2 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z0 + z0^2*z1 + z1^2) * dx, 0 ) ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 3 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0) * dx, 0 ) ( (z0 + 1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 4 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0*z1) * dx, 0 ) ( (z0*z1 + z1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 5 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0^2) * dx, 0 ) ( (z0^2 - z0 + 1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 6 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x) * dx, 0 ) ( (x) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 7 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (-x*z0^2 + x*z1) * dx, 0 ) ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 8 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0) * dx, 0 ) ( (x*z0 + x) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 9 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2) * dx, 0 ) ( (x^2) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 10 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (0) * dx, z1/x ) ( (0) * dx, z1/x ) [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 11 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z1) * dx, z1^2/x ) ( (x^2*z1) * dx, z1^2/x ) [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 12 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (-x^2*z0) * dx, z0*z1/x ) ( (-x^2*z0 - x^2) * dx, (z0*z1 + z1)/x ) [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2]
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 13 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z0*z1 - x^2*z0 - z0^2*z1) * dx, z0*z1^2/x ) ( (x^2*z0*z1 - x^2*z0 + x^2*z1 - z0^2*z1 - x^2 + z0*z1 - z1) * dx, (z0*z1^2 + z1^2)/x ) [0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 14 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (-x^2*z0^2) * dx, z0^2*z1/x ) ( (-x^2*z0^2 + x^2*z0 - x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x ) [1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0]
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 15 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z0^2*z1 - z0*z1^2) * dx, z0^2*z1^2/x ) ( (x^2*z0^2*z1 - x^2*z0*z1 + x^2*z1 - z0*z1^2 - z1^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x ) [0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0]
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0]
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 16 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0^2) * dx, z1^2/x^2 ) ( (x*z0^2 - x*z0 + x) * dx, z1^2/x^2 ) [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0]
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 17 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0*z1) * dx, z0*z1^2/x^2 ) ( (x*z0*z1 + x*z1) * dx, (z0*z1^2 + z1^2)/x^2 ) [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 18 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0^2*z1 - x*z0^2) * dx, z0^2*z1^2/x^2 ) ( (x*z0^2*z1 - x*z0^2 - x*z0*z1 + x*z0 + x*z1 - x) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 ) [0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-mm: 0 19 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0^2*z1) * dx, z0^2*z1^2/x^3 ) ( (z0^2*z1 - z0*z1 + z1) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 ) None
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [13], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:31, in group_action_matrices_dR(AS, threshold)
-
-File <string>:11, in group_action_matrices(space, list_of_group_elements, basis)
-
-File /ext/sage/9.7/src/sage/modules/free_module_element.pyx:580, in sage.modules.free_module_element.vector()
-    578         sparse = False
-    579 
---> 580 v, R = prepare(v, R, degree)
-    581 
-    582 M = FreeModule(R, len(v), bool(sparse))
-
-File /ext/sage/9.7/src/sage/modules/free_module_element.pyx:678, in sage.modules.free_module_element.prepare()
-    676     except TypeError:
-    677         pass
---> 678 v = Sequence(v, universe=R, use_sage_types=True)
-    679 ring = v.universe()
-    680 if not is_Ring(ring):
-
-File /ext/sage/9.7/src/sage/structure/sequence.py:232, in Sequence(x, universe, check, immutable, cr, cr_str, use_sage_types)
-    230 if universe is None:
-    231     orig_x = x
---> 232     x = list(x)  # make a copy even if x is a list, we're going to change it
-    234     if len(x) == 0:
-    235         from sage.categories.objects import Objects
-
-TypeError: 'NoneType' object is not iterable
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-nowe: ( (1) * dx, 0 )
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 0 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (1) * dx, 0 ) ( (1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-nowe: ( (z1) * dx, 0 )
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 1 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z1) * dx, 0 ) ( (z1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]
-nowe: ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 )
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 2 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z0 + z0^2*z1 + z1^2) * dx, 0 ) ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1]
-nowe: ( (z0 + 1) * dx, 0 )
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 3 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0) * dx, 0 ) ( (z0 + 1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0]
-nowe: ( (z0*z1 + z1) * dx, 0 )
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 4 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0*z1) * dx, 0 ) ( (z0*z1 + z1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]
-nowe: ( (z0^2 - z0 + 1) * dx, 0 )
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 5 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0^2) * dx, 0 ) ( (z0^2 - z0 + 1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0]
-nowe: ( (x) * dx, 0 )
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 6 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x) * dx, 0 ) ( (x) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]
-nowe: ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 )
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 7 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (-x*z0^2 + x*z1) * dx, 0 ) ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-nowe: ( (x*z0 + x) * dx, 0 )
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 8 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0) * dx, 0 ) ( (x*z0 + x) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0]
-nowe: ( (x^2) * dx, 0 )
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 9 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2) * dx, 0 ) ( (x^2) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
-nowe: ( (0) * dx, z1/x )
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 10 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (0) * dx, z1/x ) ( (0) * dx, z1/x ) [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-nowe: ( (x^2*z1) * dx, z1^2/x )
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 11 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z1) * dx, z1^2/x ) ( (x^2*z1) * dx, z1^2/x ) [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-nowe: ( (-x^2*z0 - x^2) * dx, (z0*z1 + z1)/x )
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 12 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (-x^2*z0) * dx, z0*z1/x ) ( (-x^2*z0 - x^2) * dx, (z0*z1 + z1)/x ) [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-nowe: ( (x^2*z0*z1 - x^2*z0 + x^2*z1 - z0^2*z1 - x^2 + z0*z1 - z1) * dx, (z0*z1^2 + z1^2)/x )
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2]
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 13 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z0*z1 - x^2*z0 - z0^2*z1) * dx, z0*z1^2/x ) ( (x^2*z0*z1 - x^2*z0 + x^2*z1 - z0^2*z1 - x^2 + z0*z1 - z1) * dx, (z0*z1^2 + z1^2)/x ) [0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2]
-nowe: ( (-x^2*z0^2 + x^2*z0 - x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x )
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 14 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (-x^2*z0^2) * dx, z0^2*z1/x ) ( (-x^2*z0^2 + x^2*z0 - x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x ) [1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-nowe: ( (x^2*z0^2*z1 - x^2*z0*z1 + x^2*z1 - z0*z1^2 - z1^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x )
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0]
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 15 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z0^2*z1 - z0*z1^2) * dx, z0^2*z1^2/x ) ( (x^2*z0^2*z1 - x^2*z0*z1 + x^2*z1 - z0*z1^2 - z1^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x ) [0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0]
-nowe: ( (x*z0^2 - x*z0 + x) * dx, z1^2/x^2 )
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0]
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 16 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0^2) * dx, z1^2/x^2 ) ( (x*z0^2 - x*z0 + x) * dx, z1^2/x^2 ) [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0]
-nowe: ( (x*z0*z1 + x*z1) * dx, (z0*z1^2 + z1^2)/x^2 )
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 17 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0*z1) * dx, z0*z1^2/x^2 ) ( (x*z0*z1 + x*z1) * dx, (z0*z1^2 + z1^2)/x^2 ) [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]
-nowe: ( (x*z0^2*z1 - x*z0^2 - x*z0*z1 + x*z0 + x*z1 - x) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 )
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 18 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0^2*z1 - x*z0^2) * dx, z0^2*z1^2/x^2 ) ( (x*z0^2*z1 - x*z0^2 - x*z0*z1 + x*z0 + x*z1 - x) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 ) [0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-nowe: ( (z0^2*z1 - z0*z1 + z1) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 )
-mm: 0 19 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0^2*z1) * dx, z0^2*z1^2/x^3 ) ( (z0^2*z1 - z0*z1 + z1) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 ) None
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [14], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:31, in group_action_matrices_dR(AS, threshold)
-
-File <string>:11, in group_action_matrices(space, list_of_group_elements, basis)
-
-File /ext/sage/9.7/src/sage/modules/free_module_element.pyx:580, in sage.modules.free_module_element.vector()
-    578         sparse = False
-    579 
---> 580 v, R = prepare(v, R, degree)
-    581 
-    582 M = FreeModule(R, len(v), bool(sparse))
-
-File /ext/sage/9.7/src/sage/modules/free_module_element.pyx:678, in sage.modules.free_module_element.prepare()
-    676     except TypeError:
-    677         pass
---> 678 v = Sequence(v, universe=R, use_sage_types=True)
-    679 ring = v.universe()
-    680 if not is_Ring(ring):
-
-File /ext/sage/9.7/src/sage/structure/sequence.py:232, in Sequence(x, universe, check, immutable, cr, cr_str, use_sage_types)
-    230 if universe is None:
-    231     orig_x = x
---> 232     x = list(x)  # make a copy even if x is a list, we're going to change it
-    234     if len(x) == 0:
-    235         from sage.categories.objects import Objects
-
-TypeError: 'NoneType' object is not iterable
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-( (1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (1) * dx, 0 )
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 0 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (1) * dx, 0 ) ( (1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-( (z1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z1) * dx, 0 )
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 1 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z1) * dx, 0 ) ( (z1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]
-( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 )
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 2 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z0 + z0^2*z1 + z1^2) * dx, 0 ) ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1]
-( (z0 + 1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z0 + 1) * dx, 0 )
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 3 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0) * dx, 0 ) ( (z0 + 1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0]
-( (z0*z1 + z1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z0*z1 + z1) * dx, 0 )
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 4 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0*z1) * dx, 0 ) ( (z0*z1 + z1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]
-( (z0^2 - z0 + 1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z0^2 - z0 + 1) * dx, 0 )
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 5 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0^2) * dx, 0 ) ( (z0^2 - z0 + 1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0]
-( (x) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x) * dx, 0 )
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 6 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x) * dx, 0 ) ( (x) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]
-( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 )
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 7 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (-x*z0^2 + x*z1) * dx, 0 ) ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-( (x*z0 + x) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x*z0 + x) * dx, 0 )
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 8 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0) * dx, 0 ) ( (x*z0 + x) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0]
-( (x^2) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x^2) * dx, 0 )
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 9 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2) * dx, 0 ) ( (x^2) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
-( (0) * dx, z1/x ) <class '__main__.as_cech'>
-nowe: ( (0) * dx, z1/x )
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 10 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (0) * dx, z1/x ) ( (0) * dx, z1/x ) [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-( (x^2*z1) * dx, z1^2/x ) <class '__main__.as_cech'>
-nowe: ( (x^2*z1) * dx, z1^2/x )
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 11 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z1) * dx, z1^2/x ) ( (x^2*z1) * dx, z1^2/x ) [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-( (-x^2*z0 - x^2) * dx, (z0*z1 + z1)/x ) <class '__main__.as_cech'>
-nowe: ( (-x^2*z0 - x^2) * dx, (z0*z1 + z1)/x )
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 12 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (-x^2*z0) * dx, z0*z1/x ) ( (-x^2*z0 - x^2) * dx, (z0*z1 + z1)/x ) [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-( (x^2*z0*z1 - x^2*z0 + x^2*z1 - z0^2*z1 - x^2 + z0*z1 - z1) * dx, (z0*z1^2 + z1^2)/x ) <class '__main__.as_cech'>
-nowe: ( (x^2*z0*z1 - x^2*z0 + x^2*z1 - z0^2*z1 - x^2 + z0*z1 - z1) * dx, (z0*z1^2 + z1^2)/x )
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2]
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 13 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z0*z1 - x^2*z0 - z0^2*z1) * dx, z0*z1^2/x ) ( (x^2*z0*z1 - x^2*z0 + x^2*z1 - z0^2*z1 - x^2 + z0*z1 - z1) * dx, (z0*z1^2 + z1^2)/x ) [0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2]
-( (-x^2*z0^2 + x^2*z0 - x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x ) <class '__main__.as_cech'>
-nowe: ( (-x^2*z0^2 + x^2*z0 - x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x )
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 14 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (-x^2*z0^2) * dx, z0^2*z1/x ) ( (-x^2*z0^2 + x^2*z0 - x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x ) [1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-( (x^2*z0^2*z1 - x^2*z0*z1 + x^2*z1 - z0*z1^2 - z1^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x ) <class '__main__.as_cech'>
-nowe: ( (x^2*z0^2*z1 - x^2*z0*z1 + x^2*z1 - z0*z1^2 - z1^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x )
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0]
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 15 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z0^2*z1 - z0*z1^2) * dx, z0^2*z1^2/x ) ( (x^2*z0^2*z1 - x^2*z0*z1 + x^2*z1 - z0*z1^2 - z1^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x ) [0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0]
-( (x*z0^2 - x*z0 + x) * dx, z1^2/x^2 ) <class '__main__.as_cech'>
-nowe: ( (x*z0^2 - x*z0 + x) * dx, z1^2/x^2 )
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0]
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 16 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0^2) * dx, z1^2/x^2 ) ( (x*z0^2 - x*z0 + x) * dx, z1^2/x^2 ) [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0]
-( (x*z0*z1 + x*z1) * dx, (z0*z1^2 + z1^2)/x^2 ) <class '__main__.as_cech'>
-nowe: ( (x*z0*z1 + x*z1) * dx, (z0*z1^2 + z1^2)/x^2 )
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 17 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0*z1) * dx, z0*z1^2/x^2 ) ( (x*z0*z1 + x*z1) * dx, (z0*z1^2 + z1^2)/x^2 ) [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]
-( (x*z0^2*z1 - x*z0^2 - x*z0*z1 + x*z0 + x*z1 - x) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 ) <class '__main__.as_cech'>
-nowe: ( (x*z0^2*z1 - x*z0^2 - x*z0*z1 + x*z0 + x*z1 - x) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 )
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 18 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0^2*z1 - x*z0^2) * dx, z0^2*z1^2/x^2 ) ( (x*z0^2*z1 - x*z0^2 - x*z0*z1 + x*z0 + x*z1 - x) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 ) [0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-( (z0^2*z1 - z0*z1 + z1) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 ) <class '__main__.as_cech'>
-nowe: ( (z0^2*z1 - z0*z1 + z1) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 )
-mm: 0 19 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0^2*z1) * dx, z0^2*z1^2/x^3 ) ( (z0^2*z1 - z0*z1 + z1) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 ) None
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [15], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:32, in group_action_matrices_dR(AS, threshold)
-
-File <string>:12, in group_action_matrices(space, list_of_group_elements, basis)
-
-File /ext/sage/9.7/src/sage/modules/free_module_element.pyx:580, in sage.modules.free_module_element.vector()
-    578         sparse = False
-    579 
---> 580 v, R = prepare(v, R, degree)
-    581 
-    582 M = FreeModule(R, len(v), bool(sparse))
-
-File /ext/sage/9.7/src/sage/modules/free_module_element.pyx:678, in sage.modules.free_module_element.prepare()
-    676     except TypeError:
-    677         pass
---> 678 v = Sequence(v, universe=R, use_sage_types=True)
-    679 ring = v.universe()
-    680 if not is_Ring(ring):
-
-File /ext/sage/9.7/src/sage/structure/sequence.py:232, in Sequence(x, universe, check, immutable, cr, cr_str, use_sage_types)
-    230 if universe is None:
-    231     orig_x = x
---> 232     x = list(x)  # make a copy even if x is a list, we're going to change it
-    234     if len(x) == 0:
-    235         from sage.categories.objects import Objects
-
-TypeError: 'NoneType' object is not iterable
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-( (1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (1) * dx, 0 )
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 0 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (1) * dx, 0 ) ( (1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-( (z1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z1) * dx, 0 )
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 1 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z1) * dx, 0 ) ( (z1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]
-( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 )
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 2 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z0 + z0^2*z1 + z1^2) * dx, 0 ) ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1]
-( (z0 + 1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z0 + 1) * dx, 0 )
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 3 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0) * dx, 0 ) ( (z0 + 1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0]
-( (z0*z1 + z1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z0*z1 + z1) * dx, 0 )
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 4 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0*z1) * dx, 0 ) ( (z0*z1 + z1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]
-( (z0^2 - z0 + 1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z0^2 - z0 + 1) * dx, 0 )
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 5 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0^2) * dx, 0 ) ( (z0^2 - z0 + 1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0]
-( (x) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x) * dx, 0 )
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 6 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x) * dx, 0 ) ( (x) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]
-( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 )
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 7 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (-x*z0^2 + x*z1) * dx, 0 ) ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-( (x*z0 + x) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x*z0 + x) * dx, 0 )
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 8 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0) * dx, 0 ) ( (x*z0 + x) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0]
-( (x^2) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x^2) * dx, 0 )
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 9 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2) * dx, 0 ) ( (x^2) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
-( (0) * dx, z1/x ) <class '__main__.as_cech'>
-nowe: ( (0) * dx, z1/x )
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 10 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (0) * dx, z1/x ) ( (0) * dx, z1/x ) [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-( (x^2*z1) * dx, z1^2/x ) <class '__main__.as_cech'>
-nowe: ( (x^2*z1) * dx, z1^2/x )
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 11 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z1) * dx, z1^2/x ) ( (x^2*z1) * dx, z1^2/x ) [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-( (-x^2*z0 - x^2) * dx, (z0*z1 + z1)/x ) <class '__main__.as_cech'>
-nowe: ( (-x^2*z0 - x^2) * dx, (z0*z1 + z1)/x )
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 12 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (-x^2*z0) * dx, z0*z1/x ) ( (-x^2*z0 - x^2) * dx, (z0*z1 + z1)/x ) [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-( (x^2*z0*z1 - x^2*z0 + x^2*z1 - z0^2*z1 - x^2 + z0*z1 - z1) * dx, (z0*z1^2 + z1^2)/x ) <class '__main__.as_cech'>
-nowe: ( (x^2*z0*z1 - x^2*z0 + x^2*z1 - z0^2*z1 - x^2 + z0*z1 - z1) * dx, (z0*z1^2 + z1^2)/x )
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2]
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 13 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z0*z1 - x^2*z0 - z0^2*z1) * dx, z0*z1^2/x ) ( (x^2*z0*z1 - x^2*z0 + x^2*z1 - z0^2*z1 - x^2 + z0*z1 - z1) * dx, (z0*z1^2 + z1^2)/x ) [0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2]
-( (-x^2*z0^2 + x^2*z0 - x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x ) <class '__main__.as_cech'>
-nowe: ( (-x^2*z0^2 + x^2*z0 - x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x )
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 14 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (-x^2*z0^2) * dx, z0^2*z1/x ) ( (-x^2*z0^2 + x^2*z0 - x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x ) [1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-( (x^2*z0^2*z1 - x^2*z0*z1 + x^2*z1 - z0*z1^2 - z1^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x ) <class '__main__.as_cech'>
-nowe: ( (x^2*z0^2*z1 - x^2*z0*z1 + x^2*z1 - z0*z1^2 - z1^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x )
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0]
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 15 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z0^2*z1 - z0*z1^2) * dx, z0^2*z1^2/x ) ( (x^2*z0^2*z1 - x^2*z0*z1 + x^2*z1 - z0*z1^2 - z1^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x ) [0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0]
-( (x*z0^2 - x*z0 + x) * dx, z1^2/x^2 ) <class '__main__.as_cech'>
-nowe: ( (x*z0^2 - x*z0 + x) * dx, z1^2/x^2 )
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0]
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 16 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0^2) * dx, z1^2/x^2 ) ( (x*z0^2 - x*z0 + x) * dx, z1^2/x^2 ) [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0]
-( (x*z0*z1 + x*z1) * dx, (z0*z1^2 + z1^2)/x^2 ) <class '__main__.as_cech'>
-nowe: ( (x*z0*z1 + x*z1) * dx, (z0*z1^2 + z1^2)/x^2 )
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 17 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0*z1) * dx, z0*z1^2/x^2 ) ( (x*z0*z1 + x*z1) * dx, (z0*z1^2 + z1^2)/x^2 ) [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]
-( (x*z0^2*z1 - x*z0^2 - x*z0*z1 + x*z0 + x*z1 - x) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 ) <class '__main__.as_cech'>
-nowe: ( (x*z0^2*z1 - x*z0^2 - x*z0*z1 + x*z0 + x*z1 - x) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 )
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 18 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0^2*z1 - x*z0^2) * dx, z0^2*z1^2/x^2 ) ( (x*z0^2*z1 - x*z0^2 - x*z0*z1 + x*z0 + x*z1 - x) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 ) [0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-( (z0^2*z1 - z0*z1 + z1) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 ) <class '__main__.as_cech'>
-nowe: ( (z0^2*z1 - z0*z1 + z1) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 )
-333:
-mm: 0 19 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0^2*z1) * dx, z0^2*z1^2/x^3 ) ( (z0^2*z1 - z0*z1 + z1) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 ) None
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [16], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:32, in group_action_matrices_dR(AS, threshold)
-
-File <string>:12, in group_action_matrices(space, list_of_group_elements, basis)
-
-File /ext/sage/9.7/src/sage/modules/free_module_element.pyx:580, in sage.modules.free_module_element.vector()
-    578         sparse = False
-    579 
---> 580 v, R = prepare(v, R, degree)
-    581 
-    582 M = FreeModule(R, len(v), bool(sparse))
-
-File /ext/sage/9.7/src/sage/modules/free_module_element.pyx:678, in sage.modules.free_module_element.prepare()
-    676     except TypeError:
-    677         pass
---> 678 v = Sequence(v, universe=R, use_sage_types=True)
-    679 ring = v.universe()
-    680 if not is_Ring(ring):
-
-File /ext/sage/9.7/src/sage/structure/sequence.py:232, in Sequence(x, universe, check, immutable, cr, cr_str, use_sage_types)
-    230 if universe is None:
-    231     orig_x = x
---> 232     x = list(x)  # make a copy even if x is a list, we're going to change it
-    234     if len(x) == 0:
-    235         from sage.categories.objects import Objects
-
-TypeError: 'NoneType' object is not iterable
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-( (1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (1) * dx, 0 )
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 0 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (1) * dx, 0 ) ( (1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-( (z1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z1) * dx, 0 )
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 1 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z1) * dx, 0 ) ( (z1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]
-( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 )
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 2 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z0 + z0^2*z1 + z1^2) * dx, 0 ) ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1]
-( (z0 + 1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z0 + 1) * dx, 0 )
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 3 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0) * dx, 0 ) ( (z0 + 1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0]
-( (z0*z1 + z1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z0*z1 + z1) * dx, 0 )
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 4 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0*z1) * dx, 0 ) ( (z0*z1 + z1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]
-( (z0^2 - z0 + 1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z0^2 - z0 + 1) * dx, 0 )
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 5 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0^2) * dx, 0 ) ( (z0^2 - z0 + 1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0]
-( (x) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x) * dx, 0 )
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 6 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x) * dx, 0 ) ( (x) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]
-( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 )
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 7 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (-x*z0^2 + x*z1) * dx, 0 ) ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-( (x*z0 + x) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x*z0 + x) * dx, 0 )
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 8 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0) * dx, 0 ) ( (x*z0 + x) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0]
-( (x^2) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x^2) * dx, 0 )
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 9 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2) * dx, 0 ) ( (x^2) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
-( (0) * dx, z1/x ) <class '__main__.as_cech'>
-nowe: ( (0) * dx, z1/x )
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 10 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (0) * dx, z1/x ) ( (0) * dx, z1/x ) [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-( (x^2*z1) * dx, z1^2/x ) <class '__main__.as_cech'>
-nowe: ( (x^2*z1) * dx, z1^2/x )
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 11 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z1) * dx, z1^2/x ) ( (x^2*z1) * dx, z1^2/x ) [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-( (-x^2*z0 - x^2) * dx, (z0*z1 + z1)/x ) <class '__main__.as_cech'>
-nowe: ( (-x^2*z0 - x^2) * dx, (z0*z1 + z1)/x )
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 12 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (-x^2*z0) * dx, z0*z1/x ) ( (-x^2*z0 - x^2) * dx, (z0*z1 + z1)/x ) [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-( (x^2*z0*z1 - x^2*z0 + x^2*z1 - z0^2*z1 - x^2 + z0*z1 - z1) * dx, (z0*z1^2 + z1^2)/x ) <class '__main__.as_cech'>
-nowe: ( (x^2*z0*z1 - x^2*z0 + x^2*z1 - z0^2*z1 - x^2 + z0*z1 - z1) * dx, (z0*z1^2 + z1^2)/x )
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2]
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 13 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z0*z1 - x^2*z0 - z0^2*z1) * dx, z0*z1^2/x ) ( (x^2*z0*z1 - x^2*z0 + x^2*z1 - z0^2*z1 - x^2 + z0*z1 - z1) * dx, (z0*z1^2 + z1^2)/x ) [0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2]
-( (-x^2*z0^2 + x^2*z0 - x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x ) <class '__main__.as_cech'>
-nowe: ( (-x^2*z0^2 + x^2*z0 - x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x )
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 14 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (-x^2*z0^2) * dx, z0^2*z1/x ) ( (-x^2*z0^2 + x^2*z0 - x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x ) [1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-( (x^2*z0^2*z1 - x^2*z0*z1 + x^2*z1 - z0*z1^2 - z1^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x ) <class '__main__.as_cech'>
-nowe: ( (x^2*z0^2*z1 - x^2*z0*z1 + x^2*z1 - z0*z1^2 - z1^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x )
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0]
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 15 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z0^2*z1 - z0*z1^2) * dx, z0^2*z1^2/x ) ( (x^2*z0^2*z1 - x^2*z0*z1 + x^2*z1 - z0*z1^2 - z1^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x ) [0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0]
-( (x*z0^2 - x*z0 + x) * dx, z1^2/x^2 ) <class '__main__.as_cech'>
-nowe: ( (x*z0^2 - x*z0 + x) * dx, z1^2/x^2 )
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0]
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 16 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0^2) * dx, z1^2/x^2 ) ( (x*z0^2 - x*z0 + x) * dx, z1^2/x^2 ) [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0]
-( (x*z0*z1 + x*z1) * dx, (z0*z1^2 + z1^2)/x^2 ) <class '__main__.as_cech'>
-nowe: ( (x*z0*z1 + x*z1) * dx, (z0*z1^2 + z1^2)/x^2 )
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 17 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0*z1) * dx, z0*z1^2/x^2 ) ( (x*z0*z1 + x*z1) * dx, (z0*z1^2 + z1^2)/x^2 ) [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]
-( (x*z0^2*z1 - x*z0^2 - x*z0*z1 + x*z0 + x*z1 - x) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 ) <class '__main__.as_cech'>
-nowe: ( (x*z0^2*z1 - x*z0^2 - x*z0*z1 + x*z0 + x*z1 - x) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 )
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 18 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0^2*z1 - x*z0^2) * dx, z0^2*z1^2/x^2 ) ( (x*z0^2*z1 - x*z0^2 - x*z0*z1 + x*z0 + x*z1 - x) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 ) [0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-( (z0^2*z1 - z0*z1 + z1) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 ) <class '__main__.as_cech'>
-nowe: ( (z0^2*z1 - z0*z1 + z1) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 )
----------------------------------------------------------------------------
-IndexError                                Traceback (most recent call last)
-Input In [17], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:32, in group_action_matrices_dR(AS, threshold)
-
-File <string>:10, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:80, in coordinates(self, threshold, basis)
-
-File <string>:155, in holomorphic_combinations_fcts(S, pole_order)
-
-IndexError: list index out of range
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-( (1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (1) * dx, 0 )
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 0 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (1) * dx, 0 ) ( (1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-( (z1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z1) * dx, 0 )
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 1 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z1) * dx, 0 ) ( (z1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]
-( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 )
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 2 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z0 + z0^2*z1 + z1^2) * dx, 0 ) ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1]
-( (z0 + 1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z0 + 1) * dx, 0 )
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 3 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0) * dx, 0 ) ( (z0 + 1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0]
-( (z0*z1 + z1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z0*z1 + z1) * dx, 0 )
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 4 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0*z1) * dx, 0 ) ( (z0*z1 + z1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]
-( (z0^2 - z0 + 1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z0^2 - z0 + 1) * dx, 0 )
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 5 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0^2) * dx, 0 ) ( (z0^2 - z0 + 1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0]
-( (x) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x) * dx, 0 )
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 6 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x) * dx, 0 ) ( (x) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]
-( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 )
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 7 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (-x*z0^2 + x*z1) * dx, 0 ) ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-( (x*z0 + x) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x*z0 + x) * dx, 0 )
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 8 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0) * dx, 0 ) ( (x*z0 + x) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0]
-( (x^2) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x^2) * dx, 0 )
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 9 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2) * dx, 0 ) ( (x^2) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
-( (0) * dx, z1/x ) <class '__main__.as_cech'>
-nowe: ( (0) * dx, z1/x )
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 10 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (0) * dx, z1/x ) ( (0) * dx, z1/x ) [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-( (x^2*z1) * dx, z1^2/x ) <class '__main__.as_cech'>
-nowe: ( (x^2*z1) * dx, z1^2/x )
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 11 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z1) * dx, z1^2/x ) ( (x^2*z1) * dx, z1^2/x ) [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-( (-x^2*z0 - x^2) * dx, (z0*z1 + z1)/x ) <class '__main__.as_cech'>
-nowe: ( (-x^2*z0 - x^2) * dx, (z0*z1 + z1)/x )
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 12 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (-x^2*z0) * dx, z0*z1/x ) ( (-x^2*z0 - x^2) * dx, (z0*z1 + z1)/x ) [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-( (x^2*z0*z1 - x^2*z0 + x^2*z1 - z0^2*z1 - x^2 + z0*z1 - z1) * dx, (z0*z1^2 + z1^2)/x ) <class '__main__.as_cech'>
-nowe: ( (x^2*z0*z1 - x^2*z0 + x^2*z1 - z0^2*z1 - x^2 + z0*z1 - z1) * dx, (z0*z1^2 + z1^2)/x )
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2]
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 13 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z0*z1 - x^2*z0 - z0^2*z1) * dx, z0*z1^2/x ) ( (x^2*z0*z1 - x^2*z0 + x^2*z1 - z0^2*z1 - x^2 + z0*z1 - z1) * dx, (z0*z1^2 + z1^2)/x ) [0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2]
-( (-x^2*z0^2 + x^2*z0 - x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x ) <class '__main__.as_cech'>
-nowe: ( (-x^2*z0^2 + x^2*z0 - x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x )
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 14 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (-x^2*z0^2) * dx, z0^2*z1/x ) ( (-x^2*z0^2 + x^2*z0 - x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x ) [1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-( (x^2*z0^2*z1 - x^2*z0*z1 + x^2*z1 - z0*z1^2 - z1^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x ) <class '__main__.as_cech'>
-nowe: ( (x^2*z0^2*z1 - x^2*z0*z1 + x^2*z1 - z0*z1^2 - z1^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x )
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0]
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 15 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z0^2*z1 - z0*z1^2) * dx, z0^2*z1^2/x ) ( (x^2*z0^2*z1 - x^2*z0*z1 + x^2*z1 - z0*z1^2 - z1^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x ) [0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0]
-( (x*z0^2 - x*z0 + x) * dx, z1^2/x^2 ) <class '__main__.as_cech'>
-nowe: ( (x*z0^2 - x*z0 + x) * dx, z1^2/x^2 )
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0]
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 16 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0^2) * dx, z1^2/x^2 ) ( (x*z0^2 - x*z0 + x) * dx, z1^2/x^2 ) [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0]
-( (x*z0*z1 + x*z1) * dx, (z0*z1^2 + z1^2)/x^2 ) <class '__main__.as_cech'>
-nowe: ( (x*z0*z1 + x*z1) * dx, (z0*z1^2 + z1^2)/x^2 )
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 17 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0*z1) * dx, z0*z1^2/x^2 ) ( (x*z0*z1 + x*z1) * dx, (z0*z1^2 + z1^2)/x^2 ) [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]
-( (x*z0^2*z1 - x*z0^2 - x*z0*z1 + x*z0 + x*z1 - x) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 ) <class '__main__.as_cech'>
-nowe: ( (x*z0^2*z1 - x*z0^2 - x*z0*z1 + x*z0 + x*z1 - x) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 )
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 18 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0^2*z1 - x*z0^2) * dx, z0^2*z1^2/x^2 ) ( (x*z0^2*z1 - x*z0^2 - x*z0*z1 + x*z0 + x*z1 - x) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 ) [0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-( (z0^2*z1 - z0*z1 + z1) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 ) <class '__main__.as_cech'>
-nowe: ( (z0^2*z1 - z0*z1 + z1) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 )
-A0: 0
----------------------------------------------------------------------------
-IndexError                                Traceback (most recent call last)
-Input In [18], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:32, in group_action_matrices_dR(AS, threshold)
-
-File <string>:10, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:81, in coordinates(self, threshold, basis)
-
-File <string>:155, in holomorphic_combinations_fcts(S, pole_order)
-
-IndexError: list index out of range
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-( (1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (1) * dx, 0 )
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 0 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (1) * dx, 0 ) ( (1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-( (z1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z1) * dx, 0 )
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 1 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z1) * dx, 0 ) ( (z1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]
-( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 )
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 2 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z0 + z0^2*z1 + z1^2) * dx, 0 ) ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1]
-( (z0 + 1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z0 + 1) * dx, 0 )
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 3 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0) * dx, 0 ) ( (z0 + 1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0]
-( (z0*z1 + z1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z0*z1 + z1) * dx, 0 )
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 4 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0*z1) * dx, 0 ) ( (z0*z1 + z1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]
-( (z0^2 - z0 + 1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z0^2 - z0 + 1) * dx, 0 )
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 5 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0^2) * dx, 0 ) ( (z0^2 - z0 + 1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0]
-( (x) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x) * dx, 0 )
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 6 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x) * dx, 0 ) ( (x) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]
-( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 )
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 7 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (-x*z0^2 + x*z1) * dx, 0 ) ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-( (x*z0 + x) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x*z0 + x) * dx, 0 )
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 8 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0) * dx, 0 ) ( (x*z0 + x) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0]
-( (x^2) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x^2) * dx, 0 )
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 9 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2) * dx, 0 ) ( (x^2) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
-( (0) * dx, z1/x ) <class '__main__.as_cech'>
-nowe: ( (0) * dx, z1/x )
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 10 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (0) * dx, z1/x ) ( (0) * dx, z1/x ) [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-( (x^2*z1) * dx, z1^2/x ) <class '__main__.as_cech'>
-nowe: ( (x^2*z1) * dx, z1^2/x )
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 11 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z1) * dx, z1^2/x ) ( (x^2*z1) * dx, z1^2/x ) [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-( (-x^2*z0 - x^2) * dx, (z0*z1 + z1)/x ) <class '__main__.as_cech'>
-nowe: ( (-x^2*z0 - x^2) * dx, (z0*z1 + z1)/x )
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 12 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (-x^2*z0) * dx, z0*z1/x ) ( (-x^2*z0 - x^2) * dx, (z0*z1 + z1)/x ) [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-( (x^2*z0*z1 - x^2*z0 + x^2*z1 - z0^2*z1 - x^2 + z0*z1 - z1) * dx, (z0*z1^2 + z1^2)/x ) <class '__main__.as_cech'>
-nowe: ( (x^2*z0*z1 - x^2*z0 + x^2*z1 - z0^2*z1 - x^2 + z0*z1 - z1) * dx, (z0*z1^2 + z1^2)/x )
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2]
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 13 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z0*z1 - x^2*z0 - z0^2*z1) * dx, z0*z1^2/x ) ( (x^2*z0*z1 - x^2*z0 + x^2*z1 - z0^2*z1 - x^2 + z0*z1 - z1) * dx, (z0*z1^2 + z1^2)/x ) [0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2]
-( (-x^2*z0^2 + x^2*z0 - x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x ) <class '__main__.as_cech'>
-nowe: ( (-x^2*z0^2 + x^2*z0 - x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x )
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 14 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (-x^2*z0^2) * dx, z0^2*z1/x ) ( (-x^2*z0^2 + x^2*z0 - x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x ) [1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-( (x^2*z0^2*z1 - x^2*z0*z1 + x^2*z1 - z0*z1^2 - z1^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x ) <class '__main__.as_cech'>
-nowe: ( (x^2*z0^2*z1 - x^2*z0*z1 + x^2*z1 - z0*z1^2 - z1^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x )
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0]
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 15 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z0^2*z1 - z0*z1^2) * dx, z0^2*z1^2/x ) ( (x^2*z0^2*z1 - x^2*z0*z1 + x^2*z1 - z0*z1^2 - z1^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x ) [0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0]
-( (x*z0^2 - x*z0 + x) * dx, z1^2/x^2 ) <class '__main__.as_cech'>
-nowe: ( (x*z0^2 - x*z0 + x) * dx, z1^2/x^2 )
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0]
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 16 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0^2) * dx, z1^2/x^2 ) ( (x*z0^2 - x*z0 + x) * dx, z1^2/x^2 ) [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0]
-( (x*z0*z1 + x*z1) * dx, (z0*z1^2 + z1^2)/x^2 ) <class '__main__.as_cech'>
-nowe: ( (x*z0*z1 + x*z1) * dx, (z0*z1^2 + z1^2)/x^2 )
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 17 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0*z1) * dx, z0*z1^2/x^2 ) ( (x*z0*z1 + x*z1) * dx, (z0*z1^2 + z1^2)/x^2 ) [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]
-( (x*z0^2*z1 - x*z0^2 - x*z0*z1 + x*z0 + x*z1 - x) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 ) <class '__main__.as_cech'>
-nowe: ( (x*z0^2*z1 - x*z0^2 - x*z0*z1 + x*z0 + x*z1 - x) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 )
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 18 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0^2*z1 - x*z0^2) * dx, z0^2*z1^2/x^2 ) ( (x*z0^2*z1 - x*z0^2 - x*z0*z1 + x*z0 + x*z1 - x) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 ) [0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-( (z0^2*z1 - z0*z1 + z1) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 ) <class '__main__.as_cech'>
-nowe: ( (z0^2*z1 - z0*z1 + z1) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 )
-10 1 [[0, 1, 2], [0, 1, 2]]
-A0: 0
----------------------------------------------------------------------------
-IndexError                                Traceback (most recent call last)
-Input In [19], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:32, in group_action_matrices_dR(AS, threshold)
-
-File <string>:10, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:82, in coordinates(self, threshold, basis)
-
-File <string>:155, in holomorphic_combinations_fcts(S, pole_order)
-
-IndexError: list index out of range
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-( (1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (1) * dx, 0 )
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 0 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (1) * dx, 0 ) ( (1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-( (z1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z1) * dx, 0 )
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 1 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z1) * dx, 0 ) ( (z1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]
-( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 )
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 2 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z0 + z0^2*z1 + z1^2) * dx, 0 ) ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1]
-( (z0 + 1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z0 + 1) * dx, 0 )
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 3 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0) * dx, 0 ) ( (z0 + 1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0]
-( (z0*z1 + z1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z0*z1 + z1) * dx, 0 )
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 4 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0*z1) * dx, 0 ) ( (z0*z1 + z1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]
-( (z0^2 - z0 + 1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z0^2 - z0 + 1) * dx, 0 )
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 5 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0^2) * dx, 0 ) ( (z0^2 - z0 + 1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0]
-( (x) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x) * dx, 0 )
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 6 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x) * dx, 0 ) ( (x) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]
-( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 )
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 7 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (-x*z0^2 + x*z1) * dx, 0 ) ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-( (x*z0 + x) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x*z0 + x) * dx, 0 )
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 8 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0) * dx, 0 ) ( (x*z0 + x) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0]
-( (x^2) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x^2) * dx, 0 )
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 9 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2) * dx, 0 ) ( (x^2) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
-( (0) * dx, z1/x ) <class '__main__.as_cech'>
-nowe: ( (0) * dx, z1/x )
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 10 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (0) * dx, z1/x ) ( (0) * dx, z1/x ) [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-( (x^2*z1) * dx, z1^2/x ) <class '__main__.as_cech'>
-nowe: ( (x^2*z1) * dx, z1^2/x )
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 11 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z1) * dx, z1^2/x ) ( (x^2*z1) * dx, z1^2/x ) [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-( (-x^2*z0 - x^2) * dx, (z0*z1 + z1)/x ) <class '__main__.as_cech'>
-nowe: ( (-x^2*z0 - x^2) * dx, (z0*z1 + z1)/x )
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 12 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (-x^2*z0) * dx, z0*z1/x ) ( (-x^2*z0 - x^2) * dx, (z0*z1 + z1)/x ) [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-( (x^2*z0*z1 - x^2*z0 + x^2*z1 - z0^2*z1 - x^2 + z0*z1 - z1) * dx, (z0*z1^2 + z1^2)/x ) <class '__main__.as_cech'>
-nowe: ( (x^2*z0*z1 - x^2*z0 + x^2*z1 - z0^2*z1 - x^2 + z0*z1 - z1) * dx, (z0*z1^2 + z1^2)/x )
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2]
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 13 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z0*z1 - x^2*z0 - z0^2*z1) * dx, z0*z1^2/x ) ( (x^2*z0*z1 - x^2*z0 + x^2*z1 - z0^2*z1 - x^2 + z0*z1 - z1) * dx, (z0*z1^2 + z1^2)/x ) [0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2]
-( (-x^2*z0^2 + x^2*z0 - x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x ) <class '__main__.as_cech'>
-nowe: ( (-x^2*z0^2 + x^2*z0 - x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x )
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 14 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (-x^2*z0^2) * dx, z0^2*z1/x ) ( (-x^2*z0^2 + x^2*z0 - x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x ) [1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-( (x^2*z0^2*z1 - x^2*z0*z1 + x^2*z1 - z0*z1^2 - z1^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x ) <class '__main__.as_cech'>
-nowe: ( (x^2*z0^2*z1 - x^2*z0*z1 + x^2*z1 - z0*z1^2 - z1^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x )
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0]
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 15 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z0^2*z1 - z0*z1^2) * dx, z0^2*z1^2/x ) ( (x^2*z0^2*z1 - x^2*z0*z1 + x^2*z1 - z0*z1^2 - z1^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x ) [0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0]
-( (x*z0^2 - x*z0 + x) * dx, z1^2/x^2 ) <class '__main__.as_cech'>
-nowe: ( (x*z0^2 - x*z0 + x) * dx, z1^2/x^2 )
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0]
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 16 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0^2) * dx, z1^2/x^2 ) ( (x*z0^2 - x*z0 + x) * dx, z1^2/x^2 ) [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0]
-( (x*z0*z1 + x*z1) * dx, (z0*z1^2 + z1^2)/x^2 ) <class '__main__.as_cech'>
-nowe: ( (x*z0*z1 + x*z1) * dx, (z0*z1^2 + z1^2)/x^2 )
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 17 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0*z1) * dx, z0*z1^2/x^2 ) ( (x*z0*z1 + x*z1) * dx, (z0*z1^2 + z1^2)/x^2 ) [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]
-( (x*z0^2*z1 - x*z0^2 - x*z0*z1 + x*z0 + x*z1 - x) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 ) <class '__main__.as_cech'>
-nowe: ( (x*z0^2*z1 - x*z0^2 - x*z0*z1 + x*z0 + x*z1 - x) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 )
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 18 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0^2*z1 - x*z0^2) * dx, z0^2*z1^2/x^2 ) ( (x*z0^2*z1 - x*z0^2 - x*z0*z1 + x*z0 + x*z1 - x) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 ) [0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-( (z0^2*z1 - z0*z1 + z1) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 ) <class '__main__.as_cech'>
-nowe: ( (z0^2*z1 - z0*z1 + z1) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 )
-10 1 [[0, 1, 2], [0, 1, 2]]
-A0: 0
----------------------------------------------------------------------------
-IndexError                                Traceback (most recent call last)
-Input In [20], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:32, in group_action_matrices_dR(AS, threshold)
-
-File <string>:10, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:83, in coordinates(self, threshold, basis)
-
-File <string>:155, in holomorphic_combinations_fcts(S, pole_order)
-
-IndexError: list index out of range
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7lrint(len(AS1.at_most_poles(M, threshold=20)))[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7lsage: product

-[?7h[?12l[?25h[?2004l[?7h<function symbolic_prod at 0x7f38b8be4e50>
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lfff.coordinates()[?7h[?12l[?25h[?25l[?7lor eta in AS.de_rham_basis():[?7h[?12l[?25h[?25l[?7lfor[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7lk[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lin[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l*[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l():[?7h[?12l[?25h[?25l[?7lsage: for k in product(*pr):

-....: [?7h[?12l[?25h[?25l[?7lprint(eta.omega0, eta.omega8.valuation())[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lnt(eta.omega0, eta.omega8.valuation())[?7h[?12l[?25h[?25l[?7lprint[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lk[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l....:     print(k)

-....: [?7h[?12l[?25h[?25l[?7lsage: for k in product(*pr):

-....:     print(k)

-....: 

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-NameError                                 Traceback (most recent call last)
-Input In [22], in <cell line: 1>()
-----> 1 for k in product(*pr):
-      2     print(k)
-
-NameError: name 'pr' is not defined
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: for k in product(*pr):

-....:     print(k)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lproduct

- [?7h[?12l[?25h[?25l[?7lloa('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-( (1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (1) * dx, 0 )
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 0 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (1) * dx, 0 ) ( (1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-( (z1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z1) * dx, 0 )
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 1 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z1) * dx, 0 ) ( (z1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]
-( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 )
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 2 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z0 + z0^2*z1 + z1^2) * dx, 0 ) ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1]
-( (z0 + 1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z0 + 1) * dx, 0 )
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 3 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0) * dx, 0 ) ( (z0 + 1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0]
-( (z0*z1 + z1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z0*z1 + z1) * dx, 0 )
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 4 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0*z1) * dx, 0 ) ( (z0*z1 + z1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]
-( (z0^2 - z0 + 1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z0^2 - z0 + 1) * dx, 0 )
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 5 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0^2) * dx, 0 ) ( (z0^2 - z0 + 1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0]
-( (x) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x) * dx, 0 )
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 6 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x) * dx, 0 ) ( (x) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]
-( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 )
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 7 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (-x*z0^2 + x*z1) * dx, 0 ) ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-( (x*z0 + x) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x*z0 + x) * dx, 0 )
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 8 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0) * dx, 0 ) ( (x*z0 + x) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0]
-( (x^2) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x^2) * dx, 0 )
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 9 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2) * dx, 0 ) ( (x^2) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
-( (0) * dx, z1/x ) <class '__main__.as_cech'>
-nowe: ( (0) * dx, z1/x )
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 10 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (0) * dx, z1/x ) ( (0) * dx, z1/x ) [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-( (x^2*z1) * dx, z1^2/x ) <class '__main__.as_cech'>
-nowe: ( (x^2*z1) * dx, z1^2/x )
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 11 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z1) * dx, z1^2/x ) ( (x^2*z1) * dx, z1^2/x ) [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-( (-x^2*z0 - x^2) * dx, (z0*z1 + z1)/x ) <class '__main__.as_cech'>
-nowe: ( (-x^2*z0 - x^2) * dx, (z0*z1 + z1)/x )
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 12 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (-x^2*z0) * dx, z0*z1/x ) ( (-x^2*z0 - x^2) * dx, (z0*z1 + z1)/x ) [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-( (x^2*z0*z1 - x^2*z0 + x^2*z1 - z0^2*z1 - x^2 + z0*z1 - z1) * dx, (z0*z1^2 + z1^2)/x ) <class '__main__.as_cech'>
-nowe: ( (x^2*z0*z1 - x^2*z0 + x^2*z1 - z0^2*z1 - x^2 + z0*z1 - z1) * dx, (z0*z1^2 + z1^2)/x )
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2]
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 13 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z0*z1 - x^2*z0 - z0^2*z1) * dx, z0*z1^2/x ) ( (x^2*z0*z1 - x^2*z0 + x^2*z1 - z0^2*z1 - x^2 + z0*z1 - z1) * dx, (z0*z1^2 + z1^2)/x ) [0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2]
-( (-x^2*z0^2 + x^2*z0 - x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x ) <class '__main__.as_cech'>
-nowe: ( (-x^2*z0^2 + x^2*z0 - x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x )
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 14 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (-x^2*z0^2) * dx, z0^2*z1/x ) ( (-x^2*z0^2 + x^2*z0 - x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x ) [1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-( (x^2*z0^2*z1 - x^2*z0*z1 + x^2*z1 - z0*z1^2 - z1^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x ) <class '__main__.as_cech'>
-nowe: ( (x^2*z0^2*z1 - x^2*z0*z1 + x^2*z1 - z0*z1^2 - z1^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x )
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0]
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 15 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z0^2*z1 - z0*z1^2) * dx, z0^2*z1^2/x ) ( (x^2*z0^2*z1 - x^2*z0*z1 + x^2*z1 - z0*z1^2 - z1^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x ) [0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0]
-( (x*z0^2 - x*z0 + x) * dx, z1^2/x^2 ) <class '__main__.as_cech'>
-nowe: ( (x*z0^2 - x*z0 + x) * dx, z1^2/x^2 )
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0]
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 16 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0^2) * dx, z1^2/x^2 ) ( (x*z0^2 - x*z0 + x) * dx, z1^2/x^2 ) [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0]
-( (x*z0*z1 + x*z1) * dx, (z0*z1^2 + z1^2)/x^2 ) <class '__main__.as_cech'>
-nowe: ( (x*z0*z1 + x*z1) * dx, (z0*z1^2 + z1^2)/x^2 )
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 17 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0*z1) * dx, z0*z1^2/x^2 ) ( (x*z0*z1 + x*z1) * dx, (z0*z1^2 + z1^2)/x^2 ) [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]
-( (x*z0^2*z1 - x*z0^2 - x*z0*z1 + x*z0 + x*z1 - x) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 ) <class '__main__.as_cech'>
-nowe: ( (x*z0^2*z1 - x*z0^2 - x*z0*z1 + x*z0 + x*z1 - x) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 )
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 18 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0^2*z1 - x*z0^2) * dx, z0^2*z1^2/x^2 ) ( (x*z0^2*z1 - x*z0^2 - x*z0*z1 + x*z0 + x*z1 - x) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 ) [0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-( (z0^2*z1 - z0*z1 + z1) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 ) <class '__main__.as_cech'>
-nowe: ( (z0^2*z1 - z0*z1 + z1) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 )
-10 1 [[0, 1, 2], [0, 1, 2]]
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-A0: 90
-A: 1
-B: 2
-333:
-mm: 0 19 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0^2*z1) * dx, z0^2*z1^2/x^3 ) ( (z0^2*z1 - z0*z1 + z1) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 ) None
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [23], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:32, in group_action_matrices_dR(AS, threshold)
-
-File <string>:12, in group_action_matrices(space, list_of_group_elements, basis)
-
-File /ext/sage/9.7/src/sage/modules/free_module_element.pyx:580, in sage.modules.free_module_element.vector()
-    578         sparse = False
-    579 
---> 580 v, R = prepare(v, R, degree)
-    581 
-    582 M = FreeModule(R, len(v), bool(sparse))
-
-File /ext/sage/9.7/src/sage/modules/free_module_element.pyx:678, in sage.modules.free_module_element.prepare()
-    676     except TypeError:
-    677         pass
---> 678 v = Sequence(v, universe=R, use_sage_types=True)
-    679 ring = v.universe()
-    680 if not is_Ring(ring):
-
-File /ext/sage/9.7/src/sage/structure/sequence.py:232, in Sequence(x, universe, check, immutable, cr, cr_str, use_sage_types)
-    230 if universe is None:
-    231     orig_x = x
---> 232     x = list(x)  # make a copy even if x is a list, we're going to change it
-    234     if len(x) == 0:
-    235         from sage.categories.objects import Objects
-
-TypeError: 'NoneType' object is not iterable
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-( (1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (1) * dx, 0 )
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 0 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (1) * dx, 0 ) ( (1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-( (z1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z1) * dx, 0 )
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 1 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z1) * dx, 0 ) ( (z1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]
-( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 )
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 2 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z0 + z0^2*z1 + z1^2) * dx, 0 ) ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1]
-( (z0 + 1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z0 + 1) * dx, 0 )
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 3 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0) * dx, 0 ) ( (z0 + 1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0]
-( (z0*z1 + z1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z0*z1 + z1) * dx, 0 )
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 4 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0*z1) * dx, 0 ) ( (z0*z1 + z1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]
-( (z0^2 - z0 + 1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z0^2 - z0 + 1) * dx, 0 )
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 5 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0^2) * dx, 0 ) ( (z0^2 - z0 + 1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0]
-( (x) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x) * dx, 0 )
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 6 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x) * dx, 0 ) ( (x) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]
-( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 )
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 7 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (-x*z0^2 + x*z1) * dx, 0 ) ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-( (x*z0 + x) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x*z0 + x) * dx, 0 )
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 8 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0) * dx, 0 ) ( (x*z0 + x) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0]
-( (x^2) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x^2) * dx, 0 )
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 9 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2) * dx, 0 ) ( (x^2) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
-( (0) * dx, z1/x ) <class '__main__.as_cech'>
-nowe: ( (0) * dx, z1/x )
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 10 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (0) * dx, z1/x ) ( (0) * dx, z1/x ) [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-( (x^2*z1) * dx, z1^2/x ) <class '__main__.as_cech'>
-nowe: ( (x^2*z1) * dx, z1^2/x )
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 11 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z1) * dx, z1^2/x ) ( (x^2*z1) * dx, z1^2/x ) [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-( (-x^2*z0 - x^2) * dx, (z0*z1 + z1)/x ) <class '__main__.as_cech'>
-nowe: ( (-x^2*z0 - x^2) * dx, (z0*z1 + z1)/x )
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 12 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (-x^2*z0) * dx, z0*z1/x ) ( (-x^2*z0 - x^2) * dx, (z0*z1 + z1)/x ) [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-( (x^2*z0*z1 - x^2*z0 + x^2*z1 - z0^2*z1 - x^2 + z0*z1 - z1) * dx, (z0*z1^2 + z1^2)/x ) <class '__main__.as_cech'>
-nowe: ( (x^2*z0*z1 - x^2*z0 + x^2*z1 - z0^2*z1 - x^2 + z0*z1 - z1) * dx, (z0*z1^2 + z1^2)/x )
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2]
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 13 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z0*z1 - x^2*z0 - z0^2*z1) * dx, z0*z1^2/x ) ( (x^2*z0*z1 - x^2*z0 + x^2*z1 - z0^2*z1 - x^2 + z0*z1 - z1) * dx, (z0*z1^2 + z1^2)/x ) [0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2]
-( (-x^2*z0^2 + x^2*z0 - x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x ) <class '__main__.as_cech'>
-nowe: ( (-x^2*z0^2 + x^2*z0 - x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x )
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 14 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (-x^2*z0^2) * dx, z0^2*z1/x ) ( (-x^2*z0^2 + x^2*z0 - x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x ) [1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-( (x^2*z0^2*z1 - x^2*z0*z1 + x^2*z1 - z0*z1^2 - z1^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x ) <class '__main__.as_cech'>
-nowe: ( (x^2*z0^2*z1 - x^2*z0*z1 + x^2*z1 - z0*z1^2 - z1^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x )
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0]
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 15 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z0^2*z1 - z0*z1^2) * dx, z0^2*z1^2/x ) ( (x^2*z0^2*z1 - x^2*z0*z1 + x^2*z1 - z0*z1^2 - z1^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x ) [0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0]
-( (x*z0^2 - x*z0 + x) * dx, z1^2/x^2 ) <class '__main__.as_cech'>
-nowe: ( (x*z0^2 - x*z0 + x) * dx, z1^2/x^2 )
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0]
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 16 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0^2) * dx, z1^2/x^2 ) ( (x*z0^2 - x*z0 + x) * dx, z1^2/x^2 ) [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0]
-( (x*z0*z1 + x*z1) * dx, (z0*z1^2 + z1^2)/x^2 ) <class '__main__.as_cech'>
-nowe: ( (x*z0*z1 + x*z1) * dx, (z0*z1^2 + z1^2)/x^2 )
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 17 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0*z1) * dx, z0*z1^2/x^2 ) ( (x*z0*z1 + x*z1) * dx, (z0*z1^2 + z1^2)/x^2 ) [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]
-( (x*z0^2*z1 - x*z0^2 - x*z0*z1 + x*z0 + x*z1 - x) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 ) <class '__main__.as_cech'>
-nowe: ( (x*z0^2*z1 - x*z0^2 - x*z0*z1 + x*z0 + x*z1 - x) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 )
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 18 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0^2*z1 - x*z0^2) * dx, z0^2*z1^2/x^2 ) ( (x*z0^2*z1 - x*z0^2 - x*z0*z1 + x*z0 + x*z1 - x) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 ) [0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-( (z0^2*z1 - z0*z1 + z1) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 ) <class '__main__.as_cech'>
-nowe: ( (z0^2*z1 - z0*z1 + z1) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 )
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [24], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:32, in group_action_matrices_dR(AS, threshold)
-
-File <string>:10, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:86, in coordinates(self, threshold, basis)
-
-TypeError: unsupported operand type(s) for -: 'sage.rings.fraction_field_element.FractionFieldElement' and 'as_function'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-( (1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (1) * dx, 0 )
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 0 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (1) * dx, 0 ) ( (1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-( (z1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z1) * dx, 0 )
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 1 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z1) * dx, 0 ) ( (z1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]
-( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 )
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 2 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z0 + z0^2*z1 + z1^2) * dx, 0 ) ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1]
-( (z0 + 1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z0 + 1) * dx, 0 )
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 3 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0) * dx, 0 ) ( (z0 + 1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0]
-( (z0*z1 + z1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z0*z1 + z1) * dx, 0 )
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 4 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0*z1) * dx, 0 ) ( (z0*z1 + z1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]
-( (z0^2 - z0 + 1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z0^2 - z0 + 1) * dx, 0 )
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 5 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0^2) * dx, 0 ) ( (z0^2 - z0 + 1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0]
-( (x) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x) * dx, 0 )
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 6 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x) * dx, 0 ) ( (x) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]
-( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 )
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 7 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (-x*z0^2 + x*z1) * dx, 0 ) ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-( (x*z0 + x) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x*z0 + x) * dx, 0 )
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 8 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0) * dx, 0 ) ( (x*z0 + x) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0]
-( (x^2) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x^2) * dx, 0 )
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 9 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2) * dx, 0 ) ( (x^2) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
-( (0) * dx, z1/x ) <class '__main__.as_cech'>
-nowe: ( (0) * dx, z1/x )
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 10 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (0) * dx, z1/x ) ( (0) * dx, z1/x ) [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-( (x^2*z1) * dx, z1^2/x ) <class '__main__.as_cech'>
-nowe: ( (x^2*z1) * dx, z1^2/x )
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 11 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z1) * dx, z1^2/x ) ( (x^2*z1) * dx, z1^2/x ) [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-( (-x^2*z0 - x^2) * dx, (z0*z1 + z1)/x ) <class '__main__.as_cech'>
-nowe: ( (-x^2*z0 - x^2) * dx, (z0*z1 + z1)/x )
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 12 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (-x^2*z0) * dx, z0*z1/x ) ( (-x^2*z0 - x^2) * dx, (z0*z1 + z1)/x ) [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-( (x^2*z0*z1 - x^2*z0 + x^2*z1 - z0^2*z1 - x^2 + z0*z1 - z1) * dx, (z0*z1^2 + z1^2)/x ) <class '__main__.as_cech'>
-nowe: ( (x^2*z0*z1 - x^2*z0 + x^2*z1 - z0^2*z1 - x^2 + z0*z1 - z1) * dx, (z0*z1^2 + z1^2)/x )
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2]
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 13 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z0*z1 - x^2*z0 - z0^2*z1) * dx, z0*z1^2/x ) ( (x^2*z0*z1 - x^2*z0 + x^2*z1 - z0^2*z1 - x^2 + z0*z1 - z1) * dx, (z0*z1^2 + z1^2)/x ) [0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2]
-( (-x^2*z0^2 + x^2*z0 - x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x ) <class '__main__.as_cech'>
-nowe: ( (-x^2*z0^2 + x^2*z0 - x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x )
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 14 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (-x^2*z0^2) * dx, z0^2*z1/x ) ( (-x^2*z0^2 + x^2*z0 - x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x ) [1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-( (x^2*z0^2*z1 - x^2*z0*z1 + x^2*z1 - z0*z1^2 - z1^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x ) <class '__main__.as_cech'>
-nowe: ( (x^2*z0^2*z1 - x^2*z0*z1 + x^2*z1 - z0*z1^2 - z1^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x )
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0]
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 15 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z0^2*z1 - z0*z1^2) * dx, z0^2*z1^2/x ) ( (x^2*z0^2*z1 - x^2*z0*z1 + x^2*z1 - z0*z1^2 - z1^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x ) [0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0]
-( (x*z0^2 - x*z0 + x) * dx, z1^2/x^2 ) <class '__main__.as_cech'>
-nowe: ( (x*z0^2 - x*z0 + x) * dx, z1^2/x^2 )
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0]
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 16 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0^2) * dx, z1^2/x^2 ) ( (x*z0^2 - x*z0 + x) * dx, z1^2/x^2 ) [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0]
-( (x*z0*z1 + x*z1) * dx, (z0*z1^2 + z1^2)/x^2 ) <class '__main__.as_cech'>
-nowe: ( (x*z0*z1 + x*z1) * dx, (z0*z1^2 + z1^2)/x^2 )
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 17 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0*z1) * dx, z0*z1^2/x^2 ) ( (x*z0*z1 + x*z1) * dx, (z0*z1^2 + z1^2)/x^2 ) [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]
-( (x*z0^2*z1 - x*z0^2 - x*z0*z1 + x*z0 + x*z1 - x) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 ) <class '__main__.as_cech'>
-nowe: ( (x*z0^2*z1 - x*z0^2 - x*z0*z1 + x*z0 + x*z1 - x) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 )
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 18 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0^2*z1 - x*z0^2) * dx, z0^2*z1^2/x^2 ) ( (x*z0^2*z1 - x*z0^2 - x*z0*z1 + x*z0 + x*z1 - x) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 ) [0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-( (z0^2*z1 - z0*z1 + z1) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 ) <class '__main__.as_cech'>
-nowe: ( (z0^2*z1 - z0*z1 + z1) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 )
----------------------------------------------------------------------------
-NameError                                 Traceback (most recent call last)
-Input In [25], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:32, in group_action_matrices_dR(AS, threshold)
-
-File <string>:10, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:88, in coordinates(self, threshold, basis)
-
-NameError: name 'coordinates' is not defined
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-( (1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (1) * dx, 0 )
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 0 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (1) * dx, 0 ) ( (1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-( (z1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z1) * dx, 0 )
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 1 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z1) * dx, 0 ) ( (z1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]
-( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 )
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 2 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z0 + z0^2*z1 + z1^2) * dx, 0 ) ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1]
-( (z0 + 1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z0 + 1) * dx, 0 )
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 3 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0) * dx, 0 ) ( (z0 + 1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0]
-( (z0*z1 + z1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z0*z1 + z1) * dx, 0 )
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 4 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0*z1) * dx, 0 ) ( (z0*z1 + z1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]
-( (z0^2 - z0 + 1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z0^2 - z0 + 1) * dx, 0 )
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 5 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0^2) * dx, 0 ) ( (z0^2 - z0 + 1) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0]
-( (x) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x) * dx, 0 )
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 6 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x) * dx, 0 ) ( (x) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]
-( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 )
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 7 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (-x*z0^2 + x*z1) * dx, 0 ) ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-( (x*z0 + x) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x*z0 + x) * dx, 0 )
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 8 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0) * dx, 0 ) ( (x*z0 + x) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0]
-( (x^2) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x^2) * dx, 0 )
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 9 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2) * dx, 0 ) ( (x^2) * dx, 0 ) [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
-( (0) * dx, z1/x ) <class '__main__.as_cech'>
-nowe: ( (0) * dx, z1/x )
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 10 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (0) * dx, z1/x ) ( (0) * dx, z1/x ) [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-( (x^2*z1) * dx, z1^2/x ) <class '__main__.as_cech'>
-nowe: ( (x^2*z1) * dx, z1^2/x )
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 11 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z1) * dx, z1^2/x ) ( (x^2*z1) * dx, z1^2/x ) [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-( (-x^2*z0 - x^2) * dx, (z0*z1 + z1)/x ) <class '__main__.as_cech'>
-nowe: ( (-x^2*z0 - x^2) * dx, (z0*z1 + z1)/x )
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 12 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (-x^2*z0) * dx, z0*z1/x ) ( (-x^2*z0 - x^2) * dx, (z0*z1 + z1)/x ) [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-( (x^2*z0*z1 - x^2*z0 + x^2*z1 - z0^2*z1 - x^2 + z0*z1 - z1) * dx, (z0*z1^2 + z1^2)/x ) <class '__main__.as_cech'>
-nowe: ( (x^2*z0*z1 - x^2*z0 + x^2*z1 - z0^2*z1 - x^2 + z0*z1 - z1) * dx, (z0*z1^2 + z1^2)/x )
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2]
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 13 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z0*z1 - x^2*z0 - z0^2*z1) * dx, z0*z1^2/x ) ( (x^2*z0*z1 - x^2*z0 + x^2*z1 - z0^2*z1 - x^2 + z0*z1 - z1) * dx, (z0*z1^2 + z1^2)/x ) [0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2]
-( (-x^2*z0^2 + x^2*z0 - x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x ) <class '__main__.as_cech'>
-nowe: ( (-x^2*z0^2 + x^2*z0 - x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x )
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 14 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (-x^2*z0^2) * dx, z0^2*z1/x ) ( (-x^2*z0^2 + x^2*z0 - x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x ) [1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-( (x^2*z0^2*z1 - x^2*z0*z1 + x^2*z1 - z0*z1^2 - z1^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x ) <class '__main__.as_cech'>
-nowe: ( (x^2*z0^2*z1 - x^2*z0*z1 + x^2*z1 - z0*z1^2 - z1^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x )
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0]
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 15 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x^2*z0^2*z1 - z0*z1^2) * dx, z0^2*z1^2/x ) ( (x^2*z0^2*z1 - x^2*z0*z1 + x^2*z1 - z0*z1^2 - z1^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x ) [0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0]
-( (x*z0^2 - x*z0 + x) * dx, z1^2/x^2 ) <class '__main__.as_cech'>
-nowe: ( (x*z0^2 - x*z0 + x) * dx, z1^2/x^2 )
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0]
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 16 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0^2) * dx, z1^2/x^2 ) ( (x*z0^2 - x*z0 + x) * dx, z1^2/x^2 ) [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0]
-( (x*z0*z1 + x*z1) * dx, (z0*z1^2 + z1^2)/x^2 ) <class '__main__.as_cech'>
-nowe: ( (x*z0*z1 + x*z1) * dx, (z0*z1^2 + z1^2)/x^2 )
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 17 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0*z1) * dx, z0*z1^2/x^2 ) ( (x*z0*z1 + x*z1) * dx, (z0*z1^2 + z1^2)/x^2 ) [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]
-( (x*z0^2*z1 - x*z0^2 - x*z0*z1 + x*z0 + x*z1 - x) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 ) <class '__main__.as_cech'>
-nowe: ( (x*z0^2*z1 - x*z0^2 - x*z0*z1 + x*z0 + x*z1 - x) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 )
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 18 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (x*z0^2*z1 - x*z0^2) * dx, z0^2*z1^2/x^2 ) ( (x*z0^2*z1 - x*z0^2 - x*z0*z1 + x*z0 + x*z1 - x) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 ) [0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-( (z0^2*z1 - z0*z1 + z1) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 ) <class '__main__.as_cech'>
-nowe: ( (z0^2*z1 - z0*z1 + z1) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 )
-nowe: ( (-z0*z1 + z1) * dx, 0 )
-(-z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0]
-(-z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-111: [2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0]
-nowe: ( (-z0*z1 + z1) * dx, 0 )
-(-z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0]
-(-z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 19 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (z0^2*z1) * dx, z0^2*z1^2/x^3 ) ( (z0^2*z1 - z0*z1 + z1) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 ) [2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0]
----------------------------------------------------------------------------
-IndexError                                Traceback (most recent call last)
-Input In [26], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:32, in group_action_matrices_dR(AS, threshold)
-
-File <string>:12, in group_action_matrices(space, list_of_group_elements, basis)
-
-File /ext/sage/9.7/src/sage/matrix/matrix0.pyx:1504, in sage.matrix.matrix0.Matrix.__setitem__()
-   1502         raise IndexError("value does not have the right number of columns")
-   1503     elif single_col and row_list_len != len(value_list):
--> 1504         raise IndexError("value does not have the right number of rows")
-   1505 else:
-   1506     if row_list_len != len(value_list):
-
-IndexError: value does not have the right number of rows
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-( (1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (1) * dx, 0 )
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-mm: 0 0 [20 x 20 dense matrix over Finite Field of size 3, 20 x 20 dense matrix over Finite Field of size 3] ( (1) * dx, 0 ) ( (1) * dx, 0 ) (1, 0, 0, 0, 0, 0, 0, 0, 0, 0)
----------------------------------------------------------------------------
-IndexError                                Traceback (most recent call last)
-Input In [27], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:32, in group_action_matrices_dR(AS, threshold)
-
-File <string>:12, in group_action_matrices(space, list_of_group_elements, basis)
-
-File /ext/sage/9.7/src/sage/matrix/matrix0.pyx:1504, in sage.matrix.matrix0.Matrix.__setitem__()
-   1502         raise IndexError("value does not have the right number of columns")
-   1503     elif single_col and row_list_len != len(value_list):
--> 1504         raise IndexError("value does not have the right number of rows")
-   1505 else:
-   1506     if row_list_len != len(value_list):
-
-IndexError: value does not have the right number of rows
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-( (1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (1) * dx, 0 )
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (1, 0, 0, 0, 0, 0, 0, 0, 0, 0)
----------------------------------------------------------------------------
-IndexError                                Traceback (most recent call last)
-Input In [28], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:32, in group_action_matrices_dR(AS, threshold)
-
-File <string>:12, in group_action_matrices(space, list_of_group_elements, basis)
-
-File /ext/sage/9.7/src/sage/matrix/matrix0.pyx:1504, in sage.matrix.matrix0.Matrix.__setitem__()
-   1502         raise IndexError("value does not have the right number of columns")
-   1503     elif single_col and row_list_len != len(value_list):
--> 1504         raise IndexError("value does not have the right number of rows")
-   1505 else:
-   1506     if row_list_len != len(value_list):
-
-IndexError: value does not have the right number of rows
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-( (1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (1) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [29], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:32, in group_action_matrices_dR(AS, threshold)
-
-File <string>:10, in group_action_matrices(space, list_of_group_elements, basis)
-
-File <string>:94, in coordinates(self, threshold, basis)
-
-File /ext/sage/9.7/src/sage/structure/element.pyx:1233, in sage.structure.element.Element.__add__()
-   1231 # Left and right are Sage elements => use coercion model
-   1232 if BOTH_ARE_ELEMENT(cl):
--> 1233     return coercion_model.bin_op(left, right, add)
-   1234 
-   1235 cdef long value
-
-File /ext/sage/9.7/src/sage/structure/coerce.pyx:1248, in sage.structure.coerce.CoercionModel.bin_op()
-   1246     # We should really include the underlying error.
-   1247     # This causes so much headache.
--> 1248     raise bin_op_exception(op, x, y)
-   1249 
-   1250 cpdef canonical_coercion(self, x, y):
-
-TypeError: unsupported operand parent(s) for +: 'Vector space of dimension 10 over Finite Field of size 3' and 'Vector space of dimension 20 over Finite Field of size 3'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-( (1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (1) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-( (z1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z1) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-( (z0 + 1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z0 + 1) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-( (z0*z1 + z1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z0*z1 + z1) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-( (z0^2 - z0 + 1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z0^2 - z0 + 1) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-( (x) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-( (x*z0 + x) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x*z0 + x) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-( (x^2) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x^2) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-( (0) * dx, z1/x ) <class '__main__.as_cech'>
-nowe: ( (0) * dx, z1/x )
-cc: [1, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-( (x^2*z1) * dx, z1^2/x ) <class '__main__.as_cech'>
-nowe: ( (x^2*z1) * dx, z1^2/x )
-cc: [0, 1, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0)
-( (-x^2*z0 - x^2) * dx, (z0*z1 + z1)/x ) <class '__main__.as_cech'>
-nowe: ( (-x^2*z0 - x^2) * dx, (z0*z1 + z1)/x )
-cc: [1, 0, 1, 0, 0, 0, 0, 0, 0, 0] 20
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0)
-( (x^2*z0*z1 - x^2*z0 + x^2*z1 - z0^2*z1 - x^2 + z0*z1 - z1) * dx, (z0*z1^2 + z1^2)/x ) <class '__main__.as_cech'>
-nowe: ( (x^2*z0*z1 - x^2*z0 + x^2*z1 - z0^2*z1 - x^2 + z0*z1 - z1) * dx, (z0*z1^2 + z1^2)/x )
-cc: [0, 1, 0, 1, 0, 0, 0, 0, 0, 0] 20
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2]
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0)
-( (-x^2*z0^2 + x^2*z0 - x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x ) <class '__main__.as_cech'>
-nowe: ( (-x^2*z0^2 + x^2*z0 - x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x )
-cc: [1, 0, 2, 0, 1, 0, 0, 0, 0, 0] 20
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0)
-( (x^2*z0^2*z1 - x^2*z0*z1 + x^2*z1 - z0*z1^2 - z1^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x ) <class '__main__.as_cech'>
-nowe: ( (x^2*z0^2*z1 - x^2*z0*z1 + x^2*z1 - z0*z1^2 - z1^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x )
-cc: [0, 1, 0, 2, 0, 1, 0, 0, 0, 0] 20
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0]
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0)
-( (x*z0^2 - x*z0 + x) * dx, z1^2/x^2 ) <class '__main__.as_cech'>
-nowe: ( (x*z0^2 - x*z0 + x) * dx, z1^2/x^2 )
-cc: [0, 0, 0, 0, 0, 0, 1, 0, 0, 0] 20
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0]
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0)
-( (x*z0*z1 + x*z1) * dx, (z0*z1^2 + z1^2)/x^2 ) <class '__main__.as_cech'>
-nowe: ( (x*z0*z1 + x*z1) * dx, (z0*z1^2 + z1^2)/x^2 )
-cc: [0, 0, 0, 0, 0, 0, 1, 1, 0, 0] 20
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0)
-( (x*z0^2*z1 - x*z0^2 - x*z0*z1 + x*z0 + x*z1 - x) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 ) <class '__main__.as_cech'>
-nowe: ( (x*z0^2*z1 - x*z0^2 - x*z0*z1 + x*z0 + x*z1 - x) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 )
-cc: [0, 0, 0, 0, 0, 0, 1, 2, 1, 0] 20
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0)
-( (z0^2*z1 - z0*z1 + z1) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 ) <class '__main__.as_cech'>
-nowe: ( (z0^2*z1 - z0*z1 + z1) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 )
-cc: [2, 0, 0, 0, 0, 0, 0, 0, 0, 1] 20
-nowe: ( (-z0*z1 + z1) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(-z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0]
-(-z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-111: (0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1)
-nowe: ( (-z0*z1 + z1) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(-z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0]
-(-z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1)
-( (1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (1) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-( (z1 + 1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z1 + 1) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-( (x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0]
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-( (z0) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z0) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0]
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-( (z0*z1 + z0) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z0*z1 + z0) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0]
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-( (z0^2) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z0^2) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-( (x) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-( (-x*z0^2 + x*z1 + x) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (-x*z0^2 + x*z1 + x) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0]
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-( (x*z0) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x*z0) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-( (x^2) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x^2) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-( (0) * dx, (z1 + 1)/x ) <class '__main__.as_cech'>
-nowe: ( (0) * dx, (z1 + 1)/x )
-cc: [1, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-nowe: ( (0) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-111: (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-nowe: ( (0) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-( (x^2*z1 + x^2) * dx, (z1^2 - z1 + 1)/x ) <class '__main__.as_cech'>
-nowe: ( (x^2*z1 + x^2) * dx, (z1^2 - z1 + 1)/x )
-cc: [2, 1, 0, 0, 0, 0, 0, 0, 0, 0] 20
-nowe: ( (x^2) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-111: (0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0)
-nowe: ( (x^2) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0)
-( (-x^2*z0) * dx, (z0*z1 + z0)/x ) <class '__main__.as_cech'>
-nowe: ( (-x^2*z0) * dx, (z0*z1 + z0)/x )
-cc: [0, 0, 1, 0, 0, 0, 0, 0, 0, 0] 20
-nowe: ( (0) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-111: (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0)
-nowe: ( (0) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0)
-( (x^2*z0*z1 - z0^2*z1 - z0^2) * dx, (z0*z1^2 - z0*z1 + z0)/x ) <class '__main__.as_cech'>
-nowe: ( (x^2*z0*z1 - z0^2*z1 - z0^2) * dx, (z0*z1^2 - z0*z1 + z0)/x )
-cc: [0, 0, 2, 1, 0, 0, 0, 0, 0, 0] 20
-nowe: ( (-z0^2) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(-z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0]
-(-z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-111: (0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0)
-nowe: ( (-z0^2) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(-z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0]
-(-z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0)
-( (-x^2*z0^2) * dx, (z0^2*z1 + z0^2)/x ) <class '__main__.as_cech'>
-nowe: ( (-x^2*z0^2) * dx, (z0^2*z1 + z0^2)/x )
-cc: [1, 0, 0, 0, 1, 0, 0, 0, 0, 0] 20
-nowe: ( (0) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-111: (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0)
-nowe: ( (0) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0)
-( (x^2*z0^2*z1 + x^2*z0^2 - z0*z1^2 + z0*z1 - z0) * dx, (z0^2*z1^2 - z0^2*z1 + z0^2)/x ) <class '__main__.as_cech'>
-nowe: ( (x^2*z0^2*z1 + x^2*z0^2 - z0*z1^2 + z0*z1 - z0) * dx, (z0^2*z1^2 - z0^2*z1 + z0^2)/x )
-cc: [1, 0, 0, 0, 2, 1, 0, 0, 0, 0] 20
-nowe: ( (z0*z1 - z0) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(z0*z1 - z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0]
-(z0*z1 - z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-111: (0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0)
-nowe: ( (z0*z1 - z0) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(z0*z1 - z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0]
-(z0*z1 - z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0)
-( (x*z0^2) * dx, (z1^2 - z1 + 1)/x^2 ) <class '__main__.as_cech'>
-nowe: ( (x*z0^2) * dx, (z1^2 - z1 + 1)/x^2 )
-cc: [0, 0, 0, 0, 0, 0, 1, 0, 0, 0] 20
-nowe: ( (0) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-111: (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0)
-nowe: ( (0) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0)
-( (x*z0*z1 + x*z0) * dx, (z0*z1^2 - z0*z1 + z0)/x^2 ) <class '__main__.as_cech'>
-nowe: ( (x*z0*z1 + x*z0) * dx, (z0*z1^2 - z0*z1 + z0)/x^2 )
-cc: [0, 0, 0, 0, 0, 0, 0, 1, 0, 0] 20
-nowe: ( (x*z0) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-111: (0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0)
-nowe: ( (x*z0) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0)
-( (x*z0^2*z1) * dx, (z0^2*z1^2 - z0^2*z1 + z0^2)/x^2 ) <class '__main__.as_cech'>
-nowe: ( (x*z0^2*z1) * dx, (z0^2*z1^2 - z0^2*z1 + z0^2)/x^2 )
-cc: [0, 0, 0, 0, 0, 0, 1, 0, 1, 0] 20
-nowe: ( (0) * dx, z0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(-x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0]
-(-x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-111: (0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0)
-nowe: ( (0) * dx, z0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(-x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0]
-(-x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0)
-( (z0^2*z1 + z0^2) * dx, (z0^2*z1^2 - z0^2*z1 + z0^2)/x^3 ) <class '__main__.as_cech'>
-nowe: ( (z0^2*z1 + z0^2) * dx, (z0^2*z1^2 - z0^2*z1 + z0^2)/x^3 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 1] 20
-nowe: ( (z0^2) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-111: (0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1)
-nowe: ( (z0^2) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1)
-[
-RModule of dimension 6 over GF(3),
-RModule of dimension 14 over GF(3)
-]
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [30], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:17, in <module>
-
-TypeError: 'text' is an invalid keyword argument for print()
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-( (1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (1) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-( (z1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z1) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-( (z0 + 1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z0 + 1) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-( (z0*z1 + z1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z0*z1 + z1) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-( (z0^2 - z0 + 1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z0^2 - z0 + 1) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-( (x) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (-x*z0^2 + x*z0 + x*z1 - x) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-( (x*z0 + x) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x*z0 + x) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-( (x^2) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x^2) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-( (0) * dx, z1/x ) <class '__main__.as_cech'>
-nowe: ( (0) * dx, z1/x )
-cc: [1, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-( (x^2*z1) * dx, z1^2/x ) <class '__main__.as_cech'>
-nowe: ( (x^2*z1) * dx, z1^2/x )
-cc: [0, 1, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0)
-( (-x^2*z0 - x^2) * dx, (z0*z1 + z1)/x ) <class '__main__.as_cech'>
-nowe: ( (-x^2*z0 - x^2) * dx, (z0*z1 + z1)/x )
-cc: [1, 0, 1, 0, 0, 0, 0, 0, 0, 0] 20
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0)
-( (x^2*z0*z1 - x^2*z0 + x^2*z1 - z0^2*z1 - x^2 + z0*z1 - z1) * dx, (z0*z1^2 + z1^2)/x ) <class '__main__.as_cech'>
-nowe: ( (x^2*z0*z1 - x^2*z0 + x^2*z1 - z0^2*z1 - x^2 + z0*z1 - z1) * dx, (z0*z1^2 + z1^2)/x )
-cc: [0, 1, 0, 1, 0, 0, 0, 0, 0, 0] 20
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2]
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0)
-( (-x^2*z0^2 + x^2*z0 - x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x ) <class '__main__.as_cech'>
-nowe: ( (-x^2*z0^2 + x^2*z0 - x^2) * dx, (z0^2*z1 - z0*z1 + z1)/x )
-cc: [1, 0, 2, 0, 1, 0, 0, 0, 0, 0] 20
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0)
-( (x^2*z0^2*z1 - x^2*z0*z1 + x^2*z1 - z0*z1^2 - z1^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x ) <class '__main__.as_cech'>
-nowe: ( (x^2*z0^2*z1 - x^2*z0*z1 + x^2*z1 - z0*z1^2 - z1^2) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x )
-cc: [0, 1, 0, 2, 0, 1, 0, 0, 0, 0] 20
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0]
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0)
-( (x*z0^2 - x*z0 + x) * dx, z1^2/x^2 ) <class '__main__.as_cech'>
-nowe: ( (x*z0^2 - x*z0 + x) * dx, z1^2/x^2 )
-cc: [0, 0, 0, 0, 0, 0, 1, 0, 0, 0] 20
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0]
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0)
-( (x*z0*z1 + x*z1) * dx, (z0*z1^2 + z1^2)/x^2 ) <class '__main__.as_cech'>
-nowe: ( (x*z0*z1 + x*z1) * dx, (z0*z1^2 + z1^2)/x^2 )
-cc: [0, 0, 0, 0, 0, 0, 1, 1, 0, 0] 20
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0)
-( (x*z0^2*z1 - x*z0^2 - x*z0*z1 + x*z0 + x*z1 - x) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 ) <class '__main__.as_cech'>
-nowe: ( (x*z0^2*z1 - x*z0^2 - x*z0*z1 + x*z0 + x*z1 - x) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^2 )
-cc: [0, 0, 0, 0, 0, 0, 1, 2, 1, 0] 20
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0)
-( (z0^2*z1 - z0*z1 + z1) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 ) <class '__main__.as_cech'>
-nowe: ( (z0^2*z1 - z0*z1 + z1) * dx, (z0^2*z1^2 - z0*z1^2 + z1^2)/x^3 )
-cc: [2, 0, 0, 0, 0, 0, 0, 0, 0, 1] 20
-nowe: ( (-z0*z1 + z1) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(-z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0]
-(-z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-111: (0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1)
-nowe: ( (-z0*z1 + z1) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(-z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0]
-(-z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1)
-( (1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (1) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-( (z1 + 1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z1 + 1) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-( (x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0]
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-( (z0) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z0) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0]
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-( (z0*z1 + z0) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z0*z1 + z0) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0]
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-( (z0^2) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (z0^2) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-( (x) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-( (-x*z0^2 + x*z1 + x) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (-x*z0^2 + x*z1 + x) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0]
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-( (x*z0) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x*z0) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-( (x^2) * dx, 0 ) <class '__main__.as_cech'>
-nowe: ( (x^2) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-( (0) * dx, (z1 + 1)/x ) <class '__main__.as_cech'>
-nowe: ( (0) * dx, (z1 + 1)/x )
-cc: [1, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-nowe: ( (0) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-111: (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-nowe: ( (0) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0)
-( (x^2*z1 + x^2) * dx, (z1^2 - z1 + 1)/x ) <class '__main__.as_cech'>
-nowe: ( (x^2*z1 + x^2) * dx, (z1^2 - z1 + 1)/x )
-cc: [2, 1, 0, 0, 0, 0, 0, 0, 0, 0] 20
-nowe: ( (x^2) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-111: (0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0)
-nowe: ( (x^2) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0)
-( (-x^2*z0) * dx, (z0*z1 + z0)/x ) <class '__main__.as_cech'>
-nowe: ( (-x^2*z0) * dx, (z0*z1 + z0)/x )
-cc: [0, 0, 1, 0, 0, 0, 0, 0, 0, 0] 20
-nowe: ( (0) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-111: (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0)
-nowe: ( (0) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0)
-( (x^2*z0*z1 - z0^2*z1 - z0^2) * dx, (z0*z1^2 - z0*z1 + z0)/x ) <class '__main__.as_cech'>
-nowe: ( (x^2*z0*z1 - z0^2*z1 - z0^2) * dx, (z0*z1^2 - z0*z1 + z0)/x )
-cc: [0, 0, 2, 1, 0, 0, 0, 0, 0, 0] 20
-nowe: ( (-z0^2) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(-z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0]
-(-z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-111: (0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0)
-nowe: ( (-z0^2) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(-z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0]
-(-z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0)
-( (-x^2*z0^2) * dx, (z0^2*z1 + z0^2)/x ) <class '__main__.as_cech'>
-nowe: ( (-x^2*z0^2) * dx, (z0^2*z1 + z0^2)/x )
-cc: [1, 0, 0, 0, 1, 0, 0, 0, 0, 0] 20
-nowe: ( (0) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-111: (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0)
-nowe: ( (0) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0)
-( (x^2*z0^2*z1 + x^2*z0^2 - z0*z1^2 + z0*z1 - z0) * dx, (z0^2*z1^2 - z0^2*z1 + z0^2)/x ) <class '__main__.as_cech'>
-nowe: ( (x^2*z0^2*z1 + x^2*z0^2 - z0*z1^2 + z0*z1 - z0) * dx, (z0^2*z1^2 - z0^2*z1 + z0^2)/x )
-cc: [1, 0, 0, 0, 2, 1, 0, 0, 0, 0] 20
-nowe: ( (z0*z1 - z0) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(z0*z1 - z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0]
-(z0*z1 - z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-111: (0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0)
-nowe: ( (z0*z1 - z0) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(z0*z1 - z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0]
-(z0*z1 - z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0)
-( (x*z0^2) * dx, (z1^2 - z1 + 1)/x^2 ) <class '__main__.as_cech'>
-nowe: ( (x*z0^2) * dx, (z1^2 - z1 + 1)/x^2 )
-cc: [0, 0, 0, 0, 0, 0, 1, 0, 0, 0] 20
-nowe: ( (0) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-111: (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0)
-nowe: ( (0) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0)
-( (x*z0*z1 + x*z0) * dx, (z0*z1^2 - z0*z1 + z0)/x^2 ) <class '__main__.as_cech'>
-nowe: ( (x*z0*z1 + x*z0) * dx, (z0*z1^2 - z0*z1 + z0)/x^2 )
-cc: [0, 0, 0, 0, 0, 0, 0, 1, 0, 0] 20
-nowe: ( (x*z0) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-111: (0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0)
-nowe: ( (x*z0) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0)
-( (x*z0^2*z1) * dx, (z0^2*z1^2 - z0^2*z1 + z0^2)/x^2 ) <class '__main__.as_cech'>
-nowe: ( (x*z0^2*z1) * dx, (z0^2*z1^2 - z0^2*z1 + z0^2)/x^2 )
-cc: [0, 0, 0, 0, 0, 0, 1, 0, 1, 0] 20
-nowe: ( (0) * dx, z0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(-x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0]
-(-x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-111: (0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0)
-nowe: ( (0) * dx, z0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(-x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0]
-(-x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0)
-( (z0^2*z1 + z0^2) * dx, (z0^2*z1^2 - z0^2*z1 + z0^2)/x^3 ) <class '__main__.as_cech'>
-nowe: ( (z0^2*z1 + z0^2) * dx, (z0^2*z1^2 - z0^2*z1 + z0^2)/x^3 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 1] 20
-nowe: ( (z0^2) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-111: (0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1)
-nowe: ( (z0^2) * dx, 0 )
-cc: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] 20
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-222: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-20 wek: (0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1)
-[
-RModule of dimension 6 over GF(3),
-RModule of dimension 14 over GF(3)
-]
-None
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^4
-
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + x^2 - z0*z1 + z1^2 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2 - z0 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x^2 + z0*z1 - z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x^2*z0 - z0^2*z1 - z1^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z0 + x*z1 - x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-z0*z1 + z1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2*z0 + z0^2*z1 + z0^2 + z1^2 - z1 + 1) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 + z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x*z0^2 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0*z1 - z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(x*z0) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(-x) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-(z0^2) * dx [(1) * dx, (z1) * dx, (x^2*z0 + z0^2*z1 + z1^2) * dx, (z0) * dx, (z0*z1) * dx, (z0^2) * dx, (x) * dx, (-x*z0^2 + x*z1) * dx, (x*z0) * dx, (x^2) * dx]
-[
-RModule of dimension 6 over GF(3),
-RModule of dimension 14 over GF(3)
-]
-None
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ git add -u
-]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ git commit -m ""o"b"l"i"c"z"e""a"n"i"e" "d"z"i"a"l"a"n"i"a" "n"a" "d"R" "c"h"y"b"a" "d"z"i"a"l"a"
-[master f7a04c6] obliczanie dzialania na dR chyba dziala
- 3 files changed, 7256 insertions(+), 23 deletions(-)
-]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ sage
-┌────────────────────────────────────────────────────────────────────┐
-│ SageMath version 9.7, Release Date: 2022-09-19                     │
-│ Using Python 3.10.5. Type "help()" for help.                       │
-└────────────────────────────────────────────────────────────────────┘
-]0;IPython: DeRhamComputation/sage[?2004h[?1l[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 2 with the equations:
-z0^2 - z0 = x^3
-z1^2 - z1 = x^5
-
-(1) * dx [(1) * dx, (x*z0 + z1) * dx, (z0) * dx, (x) * dx, (x^2) * dx]
-(x*z0 + x + z1) * dx [(1) * dx, (x*z0 + z1) * dx, (z0) * dx, (x) * dx, (x^2) * dx]
-(z0 + 1) * dx [(1) * dx, (x*z0 + z1) * dx, (z0) * dx, (x) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (x*z0 + z1) * dx, (z0) * dx, (x) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (x*z0 + z1) * dx, (z0) * dx, (x) * dx, (x^2) * dx]
-(1) * dx [(1) * dx, (x*z0 + z1) * dx, (z0) * dx, (x) * dx, (x^2) * dx]
-(x*z0 + z1 + 1) * dx [(1) * dx, (x*z0 + z1) * dx, (z0) * dx, (x) * dx, (x^2) * dx]
-(z0) * dx [(1) * dx, (x*z0 + z1) * dx, (z0) * dx, (x) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (x*z0 + z1) * dx, (z0) * dx, (x) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (x*z0 + z1) * dx, (z0) * dx, (x) * dx, (x^2) * dx]
-[
-RModule of dimension 1 over GF(2),
-RModule of dimension 4 over GF(2)
-]
-(1) * dx [(1) * dx, (x*z0 + z1) * dx, (z0) * dx, (x) * dx, (x^2) * dx]
-(x*z0 + x + z1) * dx [(1) * dx, (x*z0 + z1) * dx, (z0) * dx, (x) * dx, (x^2) * dx]
-(z0 + 1) * dx [(1) * dx, (x*z0 + z1) * dx, (z0) * dx, (x) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (x*z0 + z1) * dx, (z0) * dx, (x) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (x*z0 + z1) * dx, (z0) * dx, (x) * dx, (x^2) * dx]
-(0) * dx [(1) * dx, (x*z0 + z1) * dx, (z0) * dx, (x) * dx, (x^2) * dx]
-(0) * dx [(1) * dx, (x*z0 + z1) * dx, (z0) * dx, (x) * dx, (x^2) * dx]
-(0) * dx [(1) * dx, (x*z0 + z1) * dx, (z0) * dx, (x) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (x*z0 + z1) * dx, (z0) * dx, (x) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (x*z0 + z1) * dx, (z0) * dx, (x) * dx, (x^2) * dx]
-(1) * dx [(1) * dx, (x*z0 + z1) * dx, (z0) * dx, (x) * dx, (x^2) * dx]
-(x*z0 + z1 + 1) * dx [(1) * dx, (x*z0 + z1) * dx, (z0) * dx, (x) * dx, (x^2) * dx]
-(z0) * dx [(1) * dx, (x*z0 + z1) * dx, (z0) * dx, (x) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (x*z0 + z1) * dx, (z0) * dx, (x) * dx, (x^2) * dx]
-(x^2) * dx [(1) * dx, (x*z0 + z1) * dx, (z0) * dx, (x) * dx, (x^2) * dx]
-(0) * dx [(1) * dx, (x*z0 + z1) * dx, (z0) * dx, (x) * dx, (x^2) * dx]
-(0) * dx [(1) * dx, (x*z0 + z1) * dx, (z0) * dx, (x) * dx, (x^2) * dx]
-(x) * dx [(1) * dx, (x*z0 + z1) * dx, (z0) * dx, (x) * dx, (x^2) * dx]
-(1) * dx [(1) * dx, (x*z0 + z1) * dx, (z0) * dx, (x) * dx, (x^2) * dx]
-(0) * dx [(1) * dx, (x*z0 + z1) * dx, (z0) * dx, (x) * dx, (x^2) * dx]
-[
-RModule of dimension 2 over GF(2),
-RModule of dimension 2 over GF(2),
-RModule of dimension 3 over GF(2),
-RModule of dimension 3 over GF(2)
-]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: A

-[?7h[?12l[?25h[?2004l[?7h[1 0 1 0 0 0 0 0 0 0]
-[0 1 0 0 0 0 0 0 0 0]
-[0 0 1 0 0 0 0 0 0 0]
-[0 1 0 1 0 0 0 0 0 1]
-[0 0 0 0 1 0 0 0 1 0]
-[0 0 0 0 0 1 0 1 0 0]
-[0 0 0 0 0 0 1 0 1 0]
-[0 0 0 0 0 0 0 1 0 0]
-[0 0 0 0 0 0 0 0 1 0]
-[0 0 0 0 0 0 0 0 0 1]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7l^2 == identity_matrix(F, 6)[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7l.coefficient_matrix()[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: A.dimensions()

-[?7h[?12l[?25h[?2004l[?7h(10, 10)
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA.dimensions()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lgenus()[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: AS.genus()

-[?7h[?12l[?25h[?2004l[?7h5
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.genus()[?7h[?12l[?25h[?25l[?7l.dimenions()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7l.dimensions()[?7h[?12l[?25h[?25l[?7lS.genu()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.genus()[?7h[?12l[?25h[?25l[?7l^2 == identity_matrix(F, 6)[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lid[?7h[?12l[?25h[?25l[?7lide[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7ly[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: A^p == identity_matrix(10)

-[?7h[?12l[?25h[?2004l[?7hTrue
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA^p == identity_matrix(10)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l^p = identity_matrix(10)[?7h[?12l[?25h[?25l[?7lB^p = identity_matrix(10)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: B^p == identity_matrix(10)

-[?7h[?12l[?25h[?2004l[?7hTrue
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA^p == identity_matrix(10)[?7h[?12l[?25h[?25l[?7l*BB*A[?7h[?12l[?25h[?25l[?7lB[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7l== B*A[?7h[?12l[?25h[?25l[?7lsage: A*B == B*A

-[?7h[?12l[?25h[?2004l[?7hTrue
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA*B == B*A[?7h[?12l[?25h[?25l[?7lB^pidentity_matrix(10)[?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7lS.genus()[?7h[?12l[?25h[?25l[?7l.dimenions()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 2 with the equations:
-z0^2 - z0 = x^7
-z1^2 - z1 = x^5
-
-(1) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(z1) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(x*z1) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(x^2*z1 + x*z0 + x) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(x^3) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(1) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(z0) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(x*z1 + x) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(x^2*z1 + x^2 + x*z0) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(x^3) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-[
-RModule of dimension 1 over GF(2),
-RModule of dimension 3 over GF(2),
-RModule of dimension 4 over GF(2)
-]
-(1) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(z1) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(x*z1) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(x^2*z1 + x*z0 + x) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(x^3) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(0) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(0) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(x^3) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(0) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(0) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(0) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(0) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(1) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(1) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(z0) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(x*z1 + x) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(x^2*z1 + x^2 + x*z0) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(x^3) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(0) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(0) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(0) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(0) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(0) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(0) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(x^3) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x*z1) * dx, (x^2*z1 + x*z0) * dx, (x^2) * dx, (x^3) * dx]
-[
-RModule of dimension 2 over GF(2),
-RModule of dimension 2 over GF(2),
-RModule of dimension 3 over GF(2),
-RModule of dimension 3 over GF(2),
-RModule of dimension 3 over GF(2),
-RModule of dimension 3 over GF(2)
-]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 2 with the equations:
-z0^2 - z0 = x^7
-z1^2 - z1 = x^9
-
-(1) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(z1) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(x^2*z0 + x^2 + x*z1) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(x^3*z0 + x^3 + x^2*z1) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(x^3) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(x^4) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(x^5) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(1) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(z0) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(x^2*z0 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(x*z0) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(x^3*z0 + x^2*z1 + x^2) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(x^3) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(x^4) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(x^5) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-[
-RModule of dimension 1 over GF(2),
-RModule of dimension 1 over GF(2),
-RModule of dimension 3 over GF(2),
-RModule of dimension 6 over GF(2)
-]
-(1) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(z1) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(z0 + 1) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(x^2*z0 + x^2 + x*z1) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(x*z0 + x) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(x^3*z0 + x^3 + x^2*z1) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(x^3) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(x^4) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(x^5) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(0) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(0) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(0) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(0) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(0) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(0) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(0) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(x^5 + x^4) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(x^4) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(x^3 + x^2) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(1) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(z1 + 1) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(z0) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(x) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(x^2*z0 + x*z1 + x) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(x*z0) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(x^3*z0 + x^2*z1 + x^2) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(x^3) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(x^4) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(x^5) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(0) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(0) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(x^5) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(0) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(0) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(0) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(0) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(x^3) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(x^2) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(0) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-(1) * dx [(1) * dx, (z1) * dx, (z0) * dx, (x) * dx, (x^2*z0 + x*z1) * dx, (x*z0) * dx, (x^2) * dx, (x^3*z0 + x^2*z1) * dx, (x^3) * dx, (x^4) * dx, (x^5) * dx]
-[
-RModule of dimension 2 over GF(2),
-RModule of dimension 2 over GF(2),
-RModule of dimension 3 over GF(2),
-RModule of dimension 3 over GF(2),
-RModule of dimension 3 over GF(2),
-RModule of dimension 3 over GF(2),
-RModule of dimension 3 over GF(2),
-RModule of dimension 3 over GF(2)
-]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lA*B == B*A[?7h[?12l[?25h[?25l[?7lB^pidentity_matrix(10)[?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7lS.genus()[?7h[?12l[?25h[?25l[?7l.dimenions()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7lsage: A

-[?7h[?12l[?25h[?2004l[?7h22 x 22 dense matrix over Finite Field of size 2 (use the '.str()' method to see the entries)
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 2 with the equations:
-z0^2 - z0 = x^11
-z1^2 - z1 = x^9
-
-[
-RModule of dimension 1 over GF(2),
-RModule of dimension 1 over GF(2),
-RModule of dimension 3 over GF(2),
-RModule of dimension 3 over GF(2),
-RModule of dimension 6 over GF(2)
-]
----------------------------------------------------------------------------
-ValueError                                Traceback (most recent call last)
-Input In [11], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:29, in group_action_matrices_dR(AS, threshold)
-
-File <string>:378, in de_rham_basis(self, threshold)
-
-File <string>:366, in lift_to_de_rham(self, fct, threshold)
-
-ValueError: Increase threshold!
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 2 with the equations:
-z0^2 - z0 = x^11
-z1^2 - z1 = x^9
-
-[
-RModule of dimension 1 over GF(2),
-RModule of dimension 1 over GF(2),
-RModule of dimension 3 over GF(2),
-RModule of dimension 3 over GF(2),
-RModule of dimension 6 over GF(2)
-]
-[
-RModule of dimension 2 over GF(2),
-RModule of dimension 2 over GF(2),
-RModule of dimension 3 over GF(2),
-RModule of dimension 3 over GF(2),
-RModule of dimension 3 over GF(2),
-RModule of dimension 3 over GF(2),
-RModule of dimension 3 over GF(2),
-RModule of dimension 3 over GF(2),
-RModule of dimension 3 over GF(2),
-RModule of dimension 3 over GF(2)
-]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ sage
-┌────────────────────────────────────────────────────────────────────┐
-│ SageMath version 9.7, Release Date: 2022-09-19                     │
-│ Using Python 3.10.5. Type "help()" for help.                       │
-└────────────────────────────────────────────────────────────────────┘
-]0;IPython: DeRhamComputation/sage[?2004h[?1l[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 5 with the equation:
- z^5 - z = x^3
----------------------------------------------------------------------------
-ValueError                                Traceback (most recent call last)
-Input In [1], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:14, in <module>
-
-ValueError: not enough values to unpack (expected 2, got 1)
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 5 with the equation:
- z^5 - z = x^3
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [2], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File /ext/sage/9.7/src/sage/matrix/special.py:922, in identity_matrix(ring, n, sparse)
-    920     n = ring
-    921     ring = ZZ
---> 922 return matrix_space.MatrixSpace(ring, n, n, sparse)(1)
-
-File /ext/sage/9.7/src/sage/misc/classcall_metaclass.pyx:320, in sage.misc.classcall_metaclass.ClasscallMetaclass.__call__()
-    318 """
-    319 if cls.classcall is not None:
---> 320     return cls.classcall(cls, *args, **kwds)
-    321 else:
-    322     # Fast version of type.__call__(cls, *args, **kwds)
-
-File /ext/sage/9.7/src/sage/matrix/matrix_space.py:561, in MatrixSpace.__classcall__(cls, base_ring, nrows, ncols, sparse, implementation, **kwds)
-    516 """
-    517 Normalize the arguments to call the ``__init__`` constructor.
-    518 
-   (...)
-    558     False
-    559 """
-    560 if base_ring not in _Rings:
---> 561     raise TypeError("base_ring (=%s) must be a ring"%base_ring)
-    562 nrows = int(nrows)
-    563 if ncols is None:
-
-TypeError: base_ring (=8) must be a ring
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 5 with the equation:
- z^5 - z = x^3
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7l.dimensions()[?7h[?12l[?25h[?25l[?7lj[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7l.dimensions()[?7h[?12l[?25h[?25l[?7lj[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l_)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: A.jordan_form()

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-AttributeError                            Traceback (most recent call last)
-Input In [4], in <cell line: 1>()
-----> 1 A.jordan_form()
-
-AttributeError: 'list' object has no attribute 'jordan_form'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA.jordan_form()[?7h[?12l[?25h[?25l[?7lsage: A

-[?7h[?12l[?25h[?2004l[?7h[
-[1 1 1 0 0 0 0 3]
-[0 1 2 0 0 0 0 4]
-[0 0 1 0 0 0 0 4]
-[0 0 0 1 4 1 3 0]
-[0 0 0 0 1 3 1 0]
-[0 0 0 0 0 1 4 0]
-[0 0 0 0 0 0 1 0]
-[0 0 0 0 0 0 0 1]
-]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7l = AS.cohomology_of_structure_sheaf_basis()[1][?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7lsage: A = A[0]

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA = A[0][?7h[?12l[?25h[?25l[?7l.jordan_form()[?7h[?12l[?25h[?25l[?7lj[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ldan_form()[?7h[?12l[?25h[?25l[?7lan_form()[?7h[?12l[?25h[?25l[?7lsage: A.jordan_form()

-[?7h[?12l[?25h[?2004l[?7h[1 1 0 0|0 0 0 0]
-[0 1 1 0|0 0 0 0]
-[0 0 1 1|0 0 0 0]
-[0 0 0 1|0 0 0 0]
-[-------+-------]
-[0 0 0 0|1 1 0 0]
-[0 0 0 0|0 1 1 0]
-[0 0 0 0|0 0 1 1]
-[0 0 0 0|0 0 0 1]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA.jordan_form()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lb()[?7h[?12l[?25h[?25l[?7ll()[?7h[?12l[?25h[?25l[?7lo()[?7h[?12l[?25h[?25l[?7lc()[?7h[?12l[?25h[?25l[?7lk()[?7h[?12l[?25h[?25l[?7ls()[?7h[?12l[?25h[?25l[?7lsage: A.jordan_blocks()

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-AttributeError                            Traceback (most recent call last)
-Input In [8], in <cell line: 1>()
-----> 1 A.jordan_blocks()
-
-File /ext/sage/9.7/src/sage/structure/element.pyx:494, in sage.structure.element.Element.__getattr__()
-    492         AttributeError: 'LeftZeroSemigroup_with_category.element_class' object has no attribute 'blah_blah'
-    493     """
---> 494     return self.getattr_from_category(name)
-    495 
-    496 cdef getattr_from_category(self, name):
-
-File /ext/sage/9.7/src/sage/structure/element.pyx:507, in sage.structure.element.Element.getattr_from_category()
-    505     else:
-    506         cls = P._abstract_element_class
---> 507     return getattr_from_other_class(self, cls, name)
-    508 
-    509 def __dir__(self):
-
-File /ext/sage/9.7/src/sage/cpython/getattr.pyx:361, in sage.cpython.getattr.getattr_from_other_class()
-    359     dummy_error_message.cls = type(self)
-    360     dummy_error_message.name = name
---> 361     raise AttributeError(dummy_error_message)
-    362 attribute = <object>attr
-    363 # Check for a descriptor (__get__ in Python)
-
-AttributeError: 'sage.matrix.matrix_modn_dense_float.Matrix_modn_dense_float' object has no attribute 'jordan_blocks'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA.jordan_blocks()[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lsage: A.jordan_blocks()

-  A.C                                 A.QR                                A.add_multiple_of_row               A.adjoint_classical                  

-  A.H                                 A.T                                 A.add_to_entry                      A.adjugate                           

-  A.LLL_gram                          A.act_on_polynomial                 A.additive_order                    A.anticommutator                    >

-  A.LU                                A.add_multiple_of_column            A.adjoint                           A.antitranspose                      

- [?7h[?12l[?25h[?25l[?7lC

- A.C                                

-

-

-

- <unknown> [?7h[?12l[?25h[?25l[?7lQR

- A.C                                 A.QR                               [?7h[?12l[?25h[?25l[?7lC

- A.C                                 A.QR                               [?7h[?12l[?25h[?25l[?7l

-

-

-

-

-[?7h[?12l[?25h[?25l[?7ljordan_blocks()[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l_blocks()[?7h[?12l[?25h[?25l[?7l()[[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7lsage: A.jordan_blocks()[0]

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-AttributeError                            Traceback (most recent call last)
-Input In [9], in <cell line: 1>()
-----> 1 A.jordan_blocks()[Integer(0)]
-
-File /ext/sage/9.7/src/sage/structure/element.pyx:494, in sage.structure.element.Element.__getattr__()
-    492         AttributeError: 'LeftZeroSemigroup_with_category.element_class' object has no attribute 'blah_blah'
-    493     """
---> 494     return self.getattr_from_category(name)
-    495 
-    496 cdef getattr_from_category(self, name):
-
-File /ext/sage/9.7/src/sage/structure/element.pyx:507, in sage.structure.element.Element.getattr_from_category()
-    505     else:
-    506         cls = P._abstract_element_class
---> 507     return getattr_from_other_class(self, cls, name)
-    508 
-    509 def __dir__(self):
-
-File /ext/sage/9.7/src/sage/cpython/getattr.pyx:361, in sage.cpython.getattr.getattr_from_other_class()
-    359     dummy_error_message.cls = type(self)
-    360     dummy_error_message.name = name
---> 361     raise AttributeError(dummy_error_message)
-    362 attribute = <object>attr
-    363 # Check for a descriptor (__get__ in Python)
-
-AttributeError: 'sage.matrix.matrix_modn_dense_float.Matrix_modn_dense_float' object has no attribute 'jordan_blocks'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA.jordan_blocks()[0][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l()[][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[0][?7h[?12l[?25h[?25l[?7l()[0][?7h[?12l[?25h[?25l[?7l()[0][?7h[?12l[?25h[?25l[?7l()[0][?7h[?12l[?25h[?25l[?7l()[0][?7h[?12l[?25h[?25l[?7l()[0][?7h[?12l[?25h[?25l[?7lf()[0][?7h[?12l[?25h[?25l[?7lo()[0][?7h[?12l[?25h[?25l[?7lr()[0][?7h[?12l[?25h[?25l[?7lm()[0][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: A.jordan_form()[0]

-[?7h[?12l[?25h[?2004l[?7h(1, 1, 0, 0, 0, 0, 0, 0)
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA.jordan_form()[0][?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lm()[0][?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7lsage: A.jordan_form(sub

- subdivide=  

- subfactorial

- subsets     

-

- [?7h[?12l[?25h[?25l[?7ldivide=

- subdivide=  

-

-

- <unknown> [?7h[?12l[?25h[?25l[?7l

-

-

-

-[?7h[?12l[?25h[?25l[?7lT[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7lTrue[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: A.jordan_form(subdivide=True)

-[?7h[?12l[?25h[?2004l[?7h[1 1 0 0|0 0 0 0]
-[0 1 1 0|0 0 0 0]
-[0 0 1 1|0 0 0 0]
-[0 0 0 1|0 0 0 0]
-[-------+-------]
-[0 0 0 0|1 1 0 0]
-[0 0 0 0|0 1 1 0]
-[0 0 0 0|0 0 1 1]
-[0 0 0 0|0 0 0 1]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA.jordan_form(subdivide=True)[?7h[?12l[?25h[?25l[?7l()[[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7lsage: A.jordan_form(subdivide=True)[0]

-[?7h[?12l[?25h[?2004l[?7h(1, 1, 0, 0, 0, 0, 0, 0)
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA.jordan_form(subdivide=True)[0][?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: A.jordan_form(subdivide=True)

-[?7h[?12l[?25h[?2004l[?7h[1 1 0 0|0 0 0 0]
-[0 1 1 0|0 0 0 0]
-[0 0 1 1|0 0 0 0]
-[0 0 0 1|0 0 0 0]
-[-------+-------]
-[0 0 0 0|1 1 0 0]
-[0 0 0 0|0 1 1 0]
-[0 0 0 0|0 0 1 1]
-[0 0 0 0|0 0 0 1]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA.jordan_form(subdivide=True)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA.jordan_form(subdivide=True)[?7h[?12l[?25h[?25l[?7l()[0][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: A.jordan_form(subdivide=True)

-[?7h[?12l[?25h[?2004l[?7h[1 1 0 0|0 0 0 0]
-[0 1 1 0|0 0 0 0]
-[0 0 1 1|0 0 0 0]
-[0 0 0 1|0 0 0 0]
-[-------+-------]
-[0 0 0 0|1 1 0 0]
-[0 0 0 0|0 1 1 0]
-[0 0 0 0|0 0 1 1]
-[0 0 0 0|0 0 0 1]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA.jordan_form(subdivide=True)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ltA.jordan_form(subdivide=True)[?7h[?12l[?25h[?25l[?7lyA.jordan_form(subdivide=True)[?7h[?12l[?25h[?25l[?7lpA.jordan_form(subdivide=True)[?7h[?12l[?25h[?25l[?7leA.jordan_form(subdivide=True)[?7h[?12l[?25h[?25l[?7ltype(A.jordan_form(subdivide=True)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7lsage: type(A.jordan_form(subdivide=True))

-[?7h[?12l[?25h[?2004l[?7h<class 'sage.matrix.matrix_modn_dense_float.Matrix_modn_dense_float'>
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ltype(A.jordan_form(subdivide=True))[?7h[?12l[?25h[?25l[?7l()[[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7lsage: type(A.jordan_form(subdivide=True))[0]

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [16], in <cell line: 1>()
-----> 1 type(A.jordan_form(subdivide=True))[Integer(0)]
-
-TypeError: 'sage.misc.inherit_comparison.InheritComparisonMetaclass' object is not subscriptable
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ltype(A.jordan_form(subdivide=True))[0][?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lTru[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: type(A.jordan_form(

-  base_ring=                                   subdivide=                                   AA                                            

-  check_input=                                 transformation=                              AS                                            

-  eigenvalues=                                 %%!                                          AbelianGroup                                 >

-  sparse=                                      A                                            AbelianGroupMorphism                          

- [?7h[?12l[?25h[?25l[?7lbase_ring=

- base_ring=                                  

-

-

-

- <unknown> [?7h[?12l[?25h[?25l[?7lsubdivde

- base_ring=                                   subdivide=                                  [?7h[?12l[?25h[?25l[?7lAA

- subdivide=                                   AA                                          [?7h[?12l[?25h[?25l[?7lbelianGroupWithValues

- subdivdeAA        belianGroupWithValues

- transformaion=AS             belianVariety

-<%%!         AbelianGroupdditiveAbelianGroup

- A      belianGroupMorphismdditiveAbelianGroupWrapper[?7h[?12l[?25h[?25l[?7ldditiveAbelianGroupWrapperElement

-AA        belianGroupWithValuesdditiveAbelianGroupWrapperElement

-AS             belianVarietydditiveMagmas

-AbelianGroupdditiveAbelianGroupffneCryptosystem  

-belianGroupMorphismdditiveAbelianGroupWrapperffneGroup                [?7h[?12l[?25h[?25l[?7lbelianGroupWithValues

- AbelianGroupWithValues                       AdditiveAbelianGroupWrapperElement          [?7h[?12l[?25h[?25l[?7ldditiveAbelianGroupWrapperElement

- AbelianGroupWithValues                       AdditiveAbelianGroupWrapperElement          [?7h[?12l[?25h[?25l[?7lffneHypersurface

-belianGroupWithValuesdditiveAbelianGroupWrapperElementffneHypersurface                

-belianVarietydditiveMagmasffneNilTeperleyLiebTypeA

-dditiveAbelianGroupffneCryptosystem  PermutationGroup

-dditiveAbelianGroupWrapperffneGroup                Space[?7h[?12l[?25h[?25l[?7lToricVaiety

-dditiveAbelianGroupWrapperElementffneHypersurface                ToricVaiety

-dditiveMagmasffneNilTeperleyLiebTypeAWeylGroups           

-ffneCryptosystem  PermutationGrouplarmInterrup        

-ffneGroup                Spacelgebra    [?7h[?12l[?25h[?25l[?7llgebraIdeals

-ffneHypersurface                ToricVaietylgebraIdeals     

-ffneNilTeperleyLiebTypeAWeylGroups           lgebraModules  

-PermutationGrouplarmInterrup        gebraicField

-Spacelgebra    icNumber[?7h[?12l[?25h[?25l[?7licReal

-ToricVaietylgebraIdeals     icReal

-WeylGroups           lgebraModules  icRealField

-larmInterrup        gebraicFields      

-lgebra    icNumbersWithBasis[?7h[?12l[?25h[?25l[?7llCusps

-lgebraIdeals     icReallCusps     

-lgebraModules  icRealFieldlExactCovers    

-gebraicFields      phabet

-icNumbersWithBasisphabeticString[?7h[?12l[?25h[?25l[?7lternatingGroup

-icReallCusps     ternatingGroup

-icRealFieldlExactCovers    ternaingSignMatrices

-s      phabetternaingSignMatrix

-sWithBasisphabeticStringrithmEror  [?7h[?12l[?25h[?25l[?7llCusps

- AllCusps                                     AlternatingGroup                            [?7h[?12l[?25h[?25l[?7lternatingGroup

- AllCusps                                     AlternatingGroup                            [?7h[?12l[?25h[?25l[?7lrithmecSubgroup_Permutation

-lCusps     ternatingGrouprithmecSubgroup_Permutation

-lExactCovers    ternaingSignMatricesrrangemets           

-phabetternaingSignMatrixrinGroup           

-phabeticStringrithmEror  ssertionEror [?7h[?12l[?25h[?25l[?7lssionGroupS

-ternatingGrouprithmecSubgroup_PermutationssionGroupS                  

-ternaingSignMatricesrrangemets           ssionGroupU

-ternaingSignMatrixrinGroup           symptoticRing

-rithmEror  ssertionEror tkinModulaCorrespondenceDatabase[?7h[?12l[?25h[?25l[?7lrithmeticSubgroup_Permutation

- ArithmeticSubgroup_Permutation               AssionGroupS                                [?7h[?12l[?25h[?25l[?7llternangGroup

- AlternatingGroup                             ArithmeticSubgroup_Permutation              [?7h[?12l[?25h[?25l[?7lrithmecSubgroup_Permutation

- AlternatingGroup                             ArithmeticSubgroup_Permutation              [?7h[?12l[?25h[?25l[?7lssionGroupS

- ArithmeticSubgroup_Permutation               AssionGroupS                                [?7h[?12l[?25h[?25l[?7ltknModularPolynomialDatabase

-rithmecSubgroup_PermutationssionGroupS                  tknModularPolynomialDatabase

-rrangemets           ssionGroupUttributeError

-rinGroup           symptoticRingugentedLatticeDiagramFilling

-ssertionEror tkinModulaCorrespondenceDatabaseutomaton                         [?7h[?12l[?25h[?25l[?7lxiom

-ssionGroupS                  tknModularPolynomialDatabasexiom                         

-ssionGroupUttributeErrorBackslashOperator

-symptoticRingugentedLatticeDiagramFillingBaseExcption                 

-tkinModulaCorrespondenceDatabaseutomaton                         BaxterPermutations[?7h[?12l[?25h[?25l[?7lBerkovich_Cp_Affine

-tknModularPolynomialDatabasexiom                         Berkovich_Cp_Affine

-ttributeErrorBackslashOperatorerovic_Cp_Prjective

-ugentedLatticeDiagramFillingBaseExcption                 esel       

-utomaton                         BaxterPermutationsezoutianQadraticForm[?7h[?12l[?25h[?25l[?7lialgebras

-xiom                         Berkovich_Cp_Affineialgebras         

-BackslashOperatorerovic_Cp_PrjectiveialgebrasWithBasis    

-BaseExcption                 esel       imodules

-BaxterPermutationsezoutianQadraticForminaryQF              [?7h[?12l[?25h[?25l[?7lnaryQF_reduced_representatives

-Berkovich_Cp_Affineialgebras         naryQF_reduced_representatives

-erovic_Cp_PrjectiveialgebrasWithBasis    naryRecurrenceSequence

-esel       imodulesnaryStrings

-ezoutianQadraticForminaryQF              Tree[?7h[?12l[?25h[?25l[?7lTrees

-ialgebras         naryQF_reduced_representativesTrees                     

-ialgebrasWithBasis    naryRecurrenceSequenceptiteGaph          

-imodulesnaryStringstset       

-inaryQF              TreelockDesign[?7h[?12l[?25h[?25l[?7lBlockingIOError

-naryQF_reduced_representativesTrees                     lockingIOError

-naryRecurrenceSequenceptiteGaph          ooleanPolynomialRing

-naryStringstset       raidGroup

-TreelockDesignranchingRule[?7h[?12l[?25h[?25l[?7lBrandtModule

-Trees                     lockingIOErrorrandtModule   

-ptiteGaph          ooleanPolynomialRingraurAlgebra        

-tset       raidGroupokenPipeError

-lockDesignranchingRuleuhatTitsQuotient[?7h[?12l[?25h[?25l[?7lBufferError

-lockingIOErrorrandtModule   ufferError 

-ooleanPolynomialRingraurAlgebra        ytesWarning 

-raidGroupokenPipeErrorCBF            

-ranchingRuleuhatTitsQuotientCC                [?7h[?12l[?25h[?25l[?7lCDF

-randtModule   ufferError CDF        

-raurAlgebra        ytesWarning CFiniteSequence

-okenPipeErrorCBF            FiniteSequences

-uhatTitsQuotientCC                IF[?7h[?12l[?25h[?25l[?7lL

-ufferError CDF        L

-ytesWarning CFiniteSequencePRFanoToricVariety

-CBF            FiniteSequencesRT             

-CC                IFRT_basis[?7h[?12l[?25h[?25l[?7lRT_list

-CDF        LRT_list

-CFiniteSequencePRFanoToricVarietyRT_vects        

-FiniteSequencesRT             _super

-IFRT_basisachedFunction[?7h[?12l[?25h[?25l[?7lallableSymbolicExpressionRing

-LRT_listallableSymbolicExpressionRing

-PRFanoToricVarietyRT_vects        artanMatix

-RT             _superartanType

-RT_basisachedFunctiontegory      [?7h[?12l[?25h[?25l[?7lhainComplex

-RT_listallableSymbolicExpressionRinghainComplex                  

-RT_vects        artanMatixhainCompleMorphism

-_superartanTypehainComlexes

-achedFunctiontegory      hi     [?7h[?12l[?25h[?25l[?7lChildProcessError

-allableSymbolicExpressionRinghainComplex                  ildProcessError

-artanMatixhainCompleMorphismi                  

-artanTypehainComlexeslssFunction 

-tegory      hi     lassicalCrystals[?7h[?12l[?25h[?25l[?7lClassicalModularPolynomialDatabase

-hainComplex                  ildProcessErrorlassicalModularPolynomialDatabase

-hainCompleMorphismi                  liffordAlgebra

-hainComlexeslssFunction uterAlgebra

-hi     lassicalCrystalsuterComplex   [?7h[?12l[?25h[?25l[?7luterQuiver

-ildProcessErrorlassicalModularPolynomialDatabaseuterQuiver                     

-i                  liffordAlgebrausteSeed    

-lssFunction uterAlgebraoalgbras    

-lassicalCrystalsuterComplex   oalgbrasWithBasis[?7h[?12l[?25h[?25l[?7lolor

-lassicalModularPolynomialDatabaseuterQuiver                     olor        

-liffordAlgebrausteSeed    olordPrmutations

-uterAlgebraoalgbras    mbinations

-uterComplex   oalgbrasWithBasismbinatorialCls [?7h[?12l[?25h[?25l[?7lmbinatorialFreeModule

-uterQuiver                     olor        mbinatorialFreeModule

-usteSeed    olordPrmutationsmbinatoialObject

-oalgbras    mbinationsorialPolyhedron

-oalgbrasWithBasismbinatorialCls Species[?7h[?12l[?25h[?25l[?7lmutiveAdditiveGroups

-olor        mbinatorialFreeModulemutiveAdditiveGroups

-olordPrmutationsmbinatoialObjectmutiveAdditiveMonoids

-mbinationsorialPolyhedronmutiveAdditivSemigroups

-mbinatorialCls SpeciesmutiveAgebraElement[?7h[?12l[?25h[?25l[?7llgebraIdeals

-mbinatorialFreeModulemutiveAdditiveGroupslgebraIdeals 

-mbinatoialObjectmutiveAdditiveMonoidslgebras       

-orialPolyhedronmutiveAdditivSemigroupsRing              

-SpeciesmutiveAgebraElementRingElement   [?7h[?12l[?25h[?25l[?7lRingIdeals

-mutiveAdditiveGroupslgebraIdeals RingIdeals   

-mutiveAdditiveMonoidslgebras       Rings   

-mutiveAdditivSemigroupsRing              pleteDiscreteValuationFields

-mutiveAgebraElementRingElement   pleteDiscreteValuaionRings[?7h[?12l[?25h[?25l[?7lAlgebraIdeals

- CommutativeAlgebraIdeals                     CommutativeRingIdeals                       [?7h[?12l[?25h[?25l[?7ldditiveGroups

- CommutativeAdditiveGroups                    CommutativeAlgebraIdeals                    [?7h[?12l[?25h[?25l[?7lbinorialFreeModule

-binorialFreeModule  dditiveGroupsAlgebraIdeals

-binorialObject       dditiveMonoidsAlgebras

-binorialPolyhdron      AdditiveSemigroupsmutativeRing                

-binoriaSpecies     AlgebraElementmutativeRingElemen        [?7h[?12l[?25h[?25l[?7llor

-lor                  binorialFreeModule  dditiveGroups

-loredPemutationsbinorialObject       dditiveMonoids

-ions           binorialPolyhdron      AdditiveSemigroups

-Class  binoriaSpecies     AlgebraElement[?7h[?12l[?25h[?25l[?7llusterQuiver

-lusterQuiverlor                  binorialFreeModule  

-lustrSed        loredPemutationsbinorialObject       

-algebras  ions           binorialPolyhdron      

-algebrasWithBisClass  binoriaSpecies     [?7h[?12l[?25h[?25l[?7lasicalModularPolynomialDatabase

-asicalModularPolynomialDatabaselusterQuiverlor                  

-iffodAlgebralustrSed        loredPemutations

-lustrAlgebraalgebras  ions           

-lustrComplex     algebrasWithBisClass  [?7h[?12l[?25h[?25l[?7lChildProcessError

-hildProcessError                 asicalModularPolynomialDatabaselusterQuiver

-i             iffodAlgebralustrSed        

-asFunction lustrAlgebraalgebras  

-asicalCrystalslustrComplex     algebrasWithBis[?7h[?12l[?25h[?25l[?7lChainComplex

-ainComplex     hildProcessError                 asicalModularPolynomialDatabase

-hainComplexMorphismi             iffodAlgebra

-hinComplexesasFunction lustrAlgebra

-hi              asicalCrystalslustrComplex     [?7h[?12l[?25h[?25l[?7lallableSymbolicExpressionRing

-allableSymbolicExpressionRingainComplex     hildProcessError                 

-artanMatri        hainComplexMorphismi             

-artanTye    hinComplexesasFunction 

-ategoryhi              asicalCrystals[?7h[?12l[?25h[?25l[?7lRT_list

-RT_list                      allableSymbolicExpressionRingainComplex     

-RT_vectos artanMatri        hainComplexMorphism

-_super   artanTye    hinComplexes

-chedFunctionategoryhi              [?7h[?12l[?25h[?25l[?7lLF

-LF     RT_list                      allableSymbolicExpressionRing

-PRFanoTicVarietyRT_vectos artanMatri        

-RT    _super   artanTye    

-RT_basis     chedFunctionategory[?7h[?12l[?25h[?25l[?7lD

-DLF     RT_list                      

-FiniteSequence    PRFanoTicVarietyRT_vectos 

-FiniteSequencesRT    _super   

-IF      RT_basis     chedFunction[?7h[?12l[?25h[?25l[?7lBufferError

-BufferErrorDLF     

-BytesWarning   FiniteSequence    PRFanoTicVariety

-BF             FiniteSequencesRT    

-C IF      RT_basis     [?7h[?12l[?25h[?25l[?7lBrandtModule

-randtModuleBufferErrorD

-rauerAlgebraBytesWarning   FiniteSequence    

-BrokenPipeErrorBF             FiniteSequences

-BruhatTitsQuotientC IF      [?7h[?12l[?25h[?25l[?7lBlockingIOError

-lockingIOErrorrandtModuleBufferError

-oolanPolynomialRingrauerAlgebraBytesWarning   

-aidGroup     BrokenPipeErrorBF             

-anchingRule     BruhatTitsQuotientC [?7h[?12l[?25h[?25l[?7lBlockingIOErro

-

-

-

-

-[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l().[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lvision([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7lsage: type(A.jordan_form().subdivision())

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [17], in <cell line: 1>()
-----> 1 type(A.jordan_form().subdivision())
-
-File /ext/sage/9.7/src/sage/matrix/matrix2.pyx:8845, in sage.matrix.matrix2.Matrix.subdivision()
-   8843         self._subdivisions = (l_row, l_col)
-   8844 
--> 8845 def subdivision(self, i, j):
-   8846     """
-   8847     Returns an immutable copy of the (i,j)th submatrix of self,
-
-TypeError: subdivision() takes exactly 2 positional arguments (0 given)
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ltype(A.jordan_form().subdivision())[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7li))[?7h[?12l[?25h[?25l[?7l,))[?7h[?12l[?25h[?25l[?7l ))[?7h[?12l[?25h[?25l[?7li))[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l, i)[?7h[?12l[?25h[?25l[?7l1, i)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l))[?7h[?12l[?25h[?25l[?7l1))[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: type(A.jordan_form().subdivision(1, 1))

-[?7h[?12l[?25h[?2004l[?7h<class 'sage.matrix.matrix_modn_dense_float.Matrix_modn_dense_float'>
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ltype(A.jordan_form().subdivision(1, 1))[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7ltyp(A.jordan_form().subdivision(1, 1))[?7h[?12l[?25h[?25l[?7l(A.jordan_form().subdivision(1, 1))[?7h[?12l[?25h[?25l[?7l(A.jordan_form().subdivision(1, 1))[?7h[?12l[?25h[?25l[?7l(A.jordan_form().subdivision(1, 1))[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ls(A.jordan_form().subdivision(1, 1))[?7h[?12l[?25h[?25l[?7lt(A.jordan_form().subdivision(1, 1))[?7h[?12l[?25h[?25l[?7lstr(A.jordan_form().subdivision(1, 1))[?7h[?12l[?25h[?25l[?7lsage: str(A.jordan_form().subdivision(1, 1))

-[?7h[?12l[?25h[?2004l[?7h'[1 1 0 0]\n[0 1 1 0]\n[0 0 1 1]\n[0 0 0 1]'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ sage
-┌────────────────────────────────────────────────────────────────────┐
-│ SageMath version 9.7, Release Date: 2022-09-19                     │
-│ Using Python 3.10.5. Type "help()" for help.                       │
-└────────────────────────────────────────────────────────────────────┘
-]0;IPython: DeRhamComputation/sage[?2004h[?1l[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)-cover of Superelliptic curve with the equation y^1 = x over Finite Field in a of size 2^2 with the equation:
- z^2 - z = x^3
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field in a of size 2^2 with the equations:
-z0^2 - z0 = x^3
-z1^2 - z1 = a*x^3
-
-/ext/sage/9.7/src/sage/rings/polynomial/polynomial_singular_interface.py:372:
-********************************************************************************
-Denominators of fraction field elements are sometimes dropped without warning.
-This issue is being tracked at https://trac.sagemath.org/sage_trac/ticket/17696.
-********************************************************************************
->> A := MatrixAlgebra<GF(4),6|[1, a + 1, 0, 0, 0, a, 0, 1, 0, 0, 0, 0, 0, 0, 1
-                                  ^
-User error: Identifier 'a' has not been declared or assigned
->> , 0, 1, 0, 0, 0, 0, 0, 0, 1]>;M := RModule(RSpace(GF(4),6), A);Indecomposab
-                                                               ^
-User error: Identifier 'A' has not been declared or assigned
->> ,6), A);IndecomposableSummands(M);
-                                  ^
-User error: Identifier 'M' has not been declared or assigned
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field in a of size 2^2 with the equations:
-z0^2 - z0 = x^3
-z1^2 - z1 = a*x^3
-
----------------------------------------------------------------------------
-NameError                                 Traceback (most recent call last)
-Input In [3], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:19, in <module>
-
-NameError: name 'T' is not defined
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field in a of size 2^2 with the equations:
-z0^2 - z0 = x^3
-z1^2 - z1 = a*x^3
-
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA.jordan_form(subdivide=True)[?7h[?12l[?25h[?25l[?7lS.genus()[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA.jordan_form(subdivide=True)[?7h[?12l[?25h[?25l[?7lsage: A

-[?7h[?12l[?25h[?2004l[?7h[    1 a + 1     0     0     0     a]
-[    0     1     0     0     0     0]
-[    0     0     1     0     a     0]
-[    0     0     0     1     1     0]
-[    0     0     0     0     1     0]
-[    0     0     0     0     0     1]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lB^p == identity_matrix(10)[?7h[?12l[?25h[?25l[?7lsage: B

-[?7h[?12l[?25h[?2004l[?7h[1 1 0 0 0 1]
-[0 1 0 0 0 0]
-[0 0 1 0 1 0]
-[0 0 0 1 a 0]
-[0 0 0 0 1 0]
-[0 0 0 0 0 1]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lmagmathis(A, B, text=True)[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lgmathis(A, B, text=True)[?7h[?12l[?25h[?25l[?7lsage: magmathis(A, B, text=True)

-[?7h[?12l[?25h[?2004l[?7h'A := MatrixAlgebra<GF(4),6|[1, a + 1, 0, 0, 0, a, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, a, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1],[1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, a, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1]>;M := RModule(RSpace(GF(4),6), A);IndecomposableSummands(M);'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7lS.genus()[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lg[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: AS.genus()

-[?7h[?12l[?25h[?2004l[?7h3
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lAS.genus()[?7h[?12l[?25h[?25l[?7lmagmathis(A, B, text=True)[?7h[?12l[?25h[?25l[?7lB[?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 2 with the equations:
-z0^2 - z0 = x^3
-z1^2 - z1 = x^13
-
-[
-RModule of dimension 2 over GF(2),
-RModule of dimension 2 over GF(2),
-RModule of dimension 2 over GF(2),
-RModule of dimension 2 over GF(2),
-RModule of dimension 2 over GF(2),
-RModule of dimension 2 over GF(2),
-RModule of dimension 2 over GF(2),
-RModule of dimension 2 over GF(2),
-RModule of dimension 2 over GF(2),
-RModule of dimension 2 over GF(2),
-RModule of dimension 3 over GF(2),
-RModule of dimension 3 over GF(2)
-]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ sage
-┌────────────────────────────────────────────────────────────────────┐
-│ SageMath version 9.7, Release Date: 2022-09-19                     │
-│ Using Python 3.10.5. Type "help()" for help.                       │
-└────────────────────────────────────────────────────────────────────┘
-]0;IPython: DeRhamComputation/sage[?2004h[?1l[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lare_equivalent_matrix(A1, A2, q)[?7h[?12l[?25h[?25l[?7lsage: q = 5

-....: p = q.factor()[0][0]

-....: n = 2

-....: A1 = matrix(ZZ, [[1, 3], [3, 4]])

-....: A2 = matrix(ZZ, [[2, 3], [2, 2]])

-....: print((identity_matrix(n) + A1.transpose()*A1).determinant()%p)

-....: print((identity_matrix(n) + A2.transpose()*A2).determinant()%p)[?7h[?12l[?25h[?25l[?7lare_equivalent_matrix(A1, A2, q)

- 

- 

- 

- 

- 

- [?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7llista_np = [2*i+1 for i in range(q//2)][?7h[?12l[?25h[?25l[?7load('init.sage')[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = x^5
-
-[
-RModule of dimension 6 over GF(3),
-RModule of dimension 6 over GF(3),
-RModule of dimension 14 over GF(3)
-]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA2 = matrix(ZZ, [[2, 3], [2, 2]])[?7h[?12l[?25h[?25l[?7lS.genus()[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lmagical_element()[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lgical_element()[?7h[?12l[?25h[?25l[?7lsage: AS.magical_element()

-[?7h[?12l[?25h[?2004l[?7h[x^4*z0 + x^3*z1 + z0^2*z1^2]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.magical_element()[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lare_equivalent_matrix(A1, A2, q)[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004lno  20 -th root; divide by 2
----------------------------------------------------------------------------
-ValueError                                Traceback (most recent call last)
-Input In [3], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:13, in <module>
-
-File <string>:44, in __init__(self, C, list_of_fcts, prec)
-
-ValueError: not enough values to unpack (expected 4, got 2)
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004lno  14 -th root; divide by 2
----------------------------------------------------------------------------
-ValueError                                Traceback (most recent call last)
-Input In [4], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:13, in <module>
-
-File <string>:44, in __init__(self, C, list_of_fcts, prec)
-
-ValueError: not enough values to unpack (expected 4, got 2)
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^5
-z1^3 - z1 = x^11
-
-I haven't found all forms.
----------------------------------------------------------------------------
-NameError                                 Traceback (most recent call last)
-Input In [5], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:17, in <module>
-
-File <string>:29, in group_action_matrices_dR(AS, threshold)
-
-File <string>:145, in holomorphic_differentials_basis(self, threshold)
-
-NameError: name 'holomorphic_differentials_basis' is not defined
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^5
-z1^3 - z1 = x^11
-
-I haven't found all forms.
----------------------------------------------------------------------------
-NameError                                 Traceback (most recent call last)
-Input In [6], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:17, in <module>
-
-File <string>:29, in group_action_matrices_dR(AS, threshold)
-
-File <string>:145, in holomorphic_differentials_basis(self, threshold)
-
-NameError: name 'holomorphic_differentials_basis' is not defined
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^5
-z1^3 - z1 = x^11
-
-I haven't found all forms.
----------------------------------------------------------------------------
-NameError                                 Traceback (most recent call last)
-Input In [7], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:17, in <module>
-
-File <string>:29, in group_action_matrices_dR(AS, threshold)
-
-File <string>:145, in holomorphic_differentials_basis(self, threshold)
-
-NameError: name 'holomorphic_differentials_basis' is not defined
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004lno  20 -th root; divide by 2
----------------------------------------------------------------------------
-ValueError                                Traceback (most recent call last)
-Input In [8], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:13, in <module>
-
-File <string>:44, in __init__(self, C, list_of_fcts, prec)
-
-ValueError: not enough values to unpack (expected 4, got 2)
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = 2*x^8
-
-[
-RModule of dimension 6 over GF(3),
-RModule of dimension 6 over GF(3),
-RModule of dimension 6 over GF(3),
-RModule of dimension 6 over GF(3),
-RModule of dimension 6 over GF(3),
-RModule of dimension 14 over GF(3)
-]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equations:
-z0^3 - z0 = x^2
-z1^3 - z1 = 2*x^11
-
-[
-RModule of dimension 6 over GF(3),
-RModule of dimension 6 over GF(3),
-RModule of dimension 6 over GF(3),
-RModule of dimension 6 over GF(3),
-RModule of dimension 6 over GF(3),
-RModule of dimension 6 over GF(3),
-RModule of dimension 6 over GF(3),
-RModule of dimension 6 over GF(3),
-RModule of dimension 14 over GF(3)
-]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: 

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lsage: 

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ sage
-┌────────────────────────────────────────────────────────────────────┐
-│ SageMath version 9.7, Release Date: 2022-09-19                     │
-│ Using Python 3.10.5. Type "help()" for help.                       │
-└────────────────────────────────────────────────────────────────────┘
-]0;IPython: DeRhamComputation/sage[?2004h[?1l[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 5 with the equations:
-z0^5 - z0 = x^2
-z1^5 - z1 = x^7
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-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lsage: 

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lsage: 

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lAS.magical_element()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7lsage: AS

-[?7h[?12l[?25h[?2004l[?7h(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 5 with the equations:
-z0^5 - z0 = x^2
-z1^5 - z1 = x^7
-
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.magical_element()[?7h[?12l[?25h[?25l[?7lmagical_element()[?7h[?12l[?25h[?25l[?7lsage: AS.magical_element()

-[?7h[?12l[?25h[?2004l[?7h[x^6*z0^3 + x^5*z0^2*z1 + z0^4*z1^4 + x^4*z0*z1^2 + x^3*z1^3]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.magical_element()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lde_rhmbasis()[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7l_rham_basis()[?7h[?12l[?25h[?25l[?7lsage: AS.de_rham_basis()

-[?7h[?12l[?25h[?2004l[?7h[( (1) * dx, 0 ),
- ( (z1) * dx, 0 ),
- ( (z1^2) * dx, 0 ),
- ( (z1^3) * dx, 0 ),
- ( (2*x^4*z0^4 - 2*x^3*z0^3*z1 - x^2*z0^2*z1^2 + z1^4) * dx, 0 ),
- ( (z0) * dx, 0 ),
- ( (z0*z1) * dx, 0 ),
- ( (z0*z1^2) * dx, 0 ),
- ( (z0*z1^3) * dx, 0 ),
- ( (x^3*z0^4*z1 + x^2*z0^3*z1^2 + x^6 + x*z0^2*z1^3 + z0*z1^4) * dx, 0 ),
- ( (z0^2) * dx, 0 ),
- ( (z0^2*z1) * dx, 0 ),
- ( (z0^2*z1^2) * dx, 0 ),
- ( (-x^5 + z0^2*z1^3) * dx, 0 ),
- ( (z0^3) * dx, 0 ),
- ( (z0^3*z1) * dx, 0 ),
- ( (z0^3*z1^2) * dx, 0 ),
- ( (2*x^5*z0 + z0^3*z1^3 + 2*x^4*z1) * dx, 0 ),
- ( (z0^4) * dx, 0 ),
- ( (z0^4*z1) * dx, 0 ),
- ( (z0^4*z1^2) * dx, 0 ),
- ( (-x^5*z0^2 + z0^4*z1^3 - 2*x^4*z0*z1 + 2*x^3*z1^2) * dx, 0 ),
- ( (x) * dx, 0 ),
- ( (x*z1) * dx, 0 ),
- ( (x*z1^2) * dx, 0 ),
- ( (-x^4*z0^3 + x*z1^3) * dx, 0 ),
- ( (x*z0) * dx, 0 ),
- ( (x*z0*z1) * dx, 0 ),
- ( (x*z0*z1^2) * dx, 0 ),
- ( (-x^4*z0^4 - 2*x^3*z0^3*z1 + 2*x^2*z0^2*z1^2 + x*z0*z1^3) * dx, 0 ),
- ( (x*z0^2) * dx, 0 ),
- ( (x*z0^2*z1) * dx, 0 ),
- ( (x*z0^2*z1^2) * dx, 0 ),
- ( (x*z0^3) * dx, 0 ),
- ( (x*z0^3*z1) * dx, 0 ),
- ( (x*z0^3*z1^2 - x^5) * dx, 0 ),
- ( (x*z0^4) * dx, 0 ),
- ( (x*z0^4*z1) * dx, 0 ),
- ( (x*z0^4*z1^2 + x^5*z0 - 2*x^4*z1) * dx, 0 ),
- ( (x^2) * dx, 0 ),
- ( (x^2*z1) * dx, 0 ),
- ( (x^2*z1^2) * dx, 0 ),
- ( (x^2*z0) * dx, 0 ),
- ( (x^2*z0*z1) * dx, 0 ),
- ( (-x^4*z0^3 + x^2*z0*z1^2) * dx, 0 ),
- ( (x^2*z0^2) * dx, 0 ),
- ( (x^2*z0^2*z1) * dx, 0 ),
- ( (x^2*z0^3) * dx, 0 ),
- ( (x^2*z0^3*z1) * dx, 0 ),
- ( (x^2*z0^4) * dx, 0 ),
- ( (x^2*z0^4*z1 - x^5) * dx, 0 ),
- ( (x^3) * dx, 0 ),
- ( (x^3*z1) * dx, 0 ),
- ( (x^3*z0) * dx, 0 ),
- ( (x^3*z0*z1) * dx, 0 ),
- ( (x^3*z0^2) * dx, 0 ),
- ( (-x^4*z0^3 + x^3*z0^2*z1) * dx, 0 ),
- ( (x^3*z0^3) * dx, 0 ),
- ( (x^3*z0^4) * dx, 0 ),
- ( (x^4) * dx, 0 ),
- ( (x^4*z0) * dx, 0 ),
- ( (x^4*z0^2) * dx, 0 ),
- ( (-2*x^5) * dx, z1/x ),
- ( (x^5*z1) * dx, z1^2/x ),
- ( (-x^5*z1^2) * dx, z1^3/x ),
- ( (2*x^5*z1^3) * dx, z1^4/x ),
- ( (-2*x^5*z0) * dx, z0*z1/x ),
- ( (x^5*z0*z1) * dx, z0*z1^2/x ),
- ( (-x^5*z0*z1^2) * dx, z0*z1^3/x ),
- ( (2*x^5*z0*z1^3 - x^4*z0^4 + x^3*z0^3*z1 - 2*x^2*z0^2*z1^2) * dx, z0*z1^4/x ),
- ( (-2*x^5*z0^2) * dx, z0^2*z1/x ),
- ( (x^5*z0^2*z1) * dx, z0^2*z1^2/x ),
- ( (-x^5*z0^2*z1^2) * dx, z0^2*z1^3/x ),
- ( (2*x^5*z0^2*z1^3 - x^3*z0^4*z1 - x^2*z0^3*z1^2 - x^6 - x*z0^2*z1^3) * dx, z0^2*z1^4/x ),
- ( (0) * dx, z0^3/x ),
- ( (-2*x^5*z0^3) * dx, z0^3*z1/x ),
- ( (x^5*z0^3*z1) * dx, z0^3*z1^2/x ),
- ( (-x^5*z0^3*z1^2 - x^5) * dx, z0^3*z1^3/x ),
- ( (2*x^5*z0^3*z1^3 - z0^2*z1^4) * dx, z0^3*z1^4/x ),
- ( (0) * dx, z0^4/x ),
- ( (-2*x^5*z0^4) * dx, z0^4*z1/x ),
- ( (x^5*z0^4*z1) * dx, z0^4*z1^2/x ),
- ( (-x^5*z0^4*z1^2 + x^5*z0 + x^4*z1) * dx, z0^4*z1^3/x ),
- ( (2*x^5*z0^4*z1^3 - x^4*z0^3 + 2*z0^3*z1^4) * dx, z0^4*z1^4/x ),
- ( (x^4*z1) * dx, z1^2/x^2 ),
- ( (-x^4*z1^2) * dx, z1^3/x^2 ),
- ( (2*x^4*z1^3) * dx, z1^4/x^2 ),
- ( (x^4*z0*z1) * dx, z0*z1^2/x^2 ),
- ( (-x^4*z0*z1^2) * dx, z0*z1^3/x^2 ),
- ( (2*x^4*z0*z1^3) * dx, z0*z1^4/x^2 ),
- ( (x^4*z0^2*z1) * dx, z0^2*z1^2/x^2 ),
- ( (-x^4*z0^2*z1^2) * dx, z0^2*z1^3/x^2 ),
- ( (2*x^4*z0^2*z1^3 + x^5) * dx, z0^2*z1^4/x^2 ),
- ( (-2*x^4*z0^3) * dx, z0^3*z1/x^2 ),
- ( (x^4*z0^3*z1) * dx, z0^3*z1^2/x^2 ),
- ( (-x^4*z0^3*z1^2) * dx, z0^3*z1^3/x^2 ),
- ( (2*x^4*z0^3*z1^3 - 2*x^5*z0 + x^4*z1) * dx, z0^3*z1^4/x^2 ),
- ( (-2*x^4*z0^4) * dx, z0^4*z1/x^2 ),
- ( (x^4*z0^4*z1) * dx, z0^4*z1^2/x^2 ),
- ( (-x^4*z0^4*z1^2) * dx, z0^4*z1^3/x^2 ),
- ( (2*x^4*z0^4*z1^3 + x^5*z0^2 - x^4*z0*z1 + 2*x^3*z1^2) * dx, z0^4*z1^4/x^2 ),
- ( (-x^3*z1^2) * dx, z1^3/x^3 ),
- ( (2*x^3*z1^3) * dx, z1^4/x^3 ),
- ( (-x^3*z0*z1^2) * dx, z0*z1^3/x^3 ),
- ( (2*x^3*z0*z1^3) * dx, z0*z1^4/x^3 ),
- ( (-x^3*z0^2*z1^2) * dx, z0^2*z1^3/x^3 ),
- ( (2*x^3*z0^2*z1^3) * dx, z0^2*z1^4/x^3 ),
- ( (x^3*z0^3*z1) * dx, z0^3*z1^2/x^3 ),
- ( (-x^3*z0^3*z1^2) * dx, z0^3*z1^3/x^3 ),
- ( (2*x^3*z0^3*z1^3) * dx, z0^3*z1^4/x^3 ),
- ( (x^3*z0^4*z1) * dx, z0^4*z1^2/x^3 ),
- ( (-x^3*z0^4*z1^2) * dx, z0^4*z1^3/x^3 ),
- ( (2*x^3*z0^4*z1^3) * dx, z0^4*z1^4/x^3 ),
- ( (2*x^2*z1^3) * dx, z1^4/x^4 ),
- ( (2*x^2*z0*z1^3) * dx, z0*z1^4/x^4 ),
- ( (-x^2*z0^2*z1^2) * dx, z0^2*z1^3/x^4 ),
- ( (2*x^2*z0^2*z1^3) * dx, z0^2*z1^4/x^4 ),
- ( (-x^2*z0^3*z1^2) * dx, z0^3*z1^3/x^4 ),
- ( (2*x^2*z0^3*z1^3) * dx, z0^3*z1^4/x^4 ),
- ( (-x^2*z0^4*z1^2) * dx, z0^4*z1^3/x^4 ),
- ( (2*x^2*z0^4*z1^3) * dx, z0^4*z1^4/x^4 ),
- ( (2*x*z0^2*z1^3) * dx, z0^2*z1^4/x^5 ),
- ( (2*x*z0^3*z1^3) * dx, z0^3*z1^4/x^5 ),
- ( (2*x*z0^4*z1^3) * dx, z0^4*z1^4/x^5 )]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lAS.de_rham_basis()[?7h[?12l[?25h[?25l[?7l, B = group_action_matrices_holo(AS)[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7lB[?7h[?12l[?25h[?25l[?7l = group_action_matrices_holo(AS)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(AS)[?7h[?12l[?25h[?25l[?7l(AS)[?7h[?12l[?25h[?25l[?7l(AS)[?7h[?12l[?25h[?25l[?7l(AS)[?7h[?12l[?25h[?25l[?7l(AS)[?7h[?12l[?25h[?25l[?7l_(AS)[?7h[?12l[?25h[?25l[?7ld(AS)[?7h[?12l[?25h[?25l[?7lr(AS)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(AS)[?7h[?12l[?25h[?25l[?7lR(AS)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l();[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lg[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7lsage: A, B = group_action_matrices_dR(AS); magma

- magma     

- magma_free

- magmathis 

-

- [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l

- magma     

-

-

- <unknown> [?7h[?12l[?25h[?25l[?7l_free

- magma     

- magma_free[?7h[?12l[?25h[?25l[?7lthis

-

- magma_free

- magmathis [?7h[?12l[?25h[?25l[?7l

-

-

-

-[?7h[?12l[?25h[?25l[?7l*[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lB[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: A, B = group_action_matrices_dR(AS); magmathis(A, B)

-[?7h[?12l[?25h[?2004l
-
-^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[24;1R^[[25;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R
-
-^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[24;1R^[[25;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[28;1R^[[2
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: 

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lsage: 

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: 

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lsage: 

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: 

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lsage: 

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lsage: 

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lsage: 

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [1;3S[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ sage
-┌────────────────────────────────────────────────────────────────────┐
-│ SageMath version 9.7, Release Date: 2022-09-19                     │
-│ Using Python 3.10.5. Type "help()" for help.                       │
-└────────────────────────────────────────────────────────────────────┘
-]0;IPython: DeRhamComputation/sage[?2004h[?1l[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 2 with the equations:
-z0^2 - z0 = x^3
-z1^2 - z1 = x^5
-
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA, B = group_action_matrices_dR(AS); magmathis(A, B)[?7h[?12l[?25h[?25l[?7lS.de_rham_basis()[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7ljumps[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7lsage: AS.jumps

-[?7h[?12l[?25h[?2004l[?7h[[3, 7]]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.jumps[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lraification_jumps()[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lfication_jumps()[?7h[?12l[?25h[?25l[?7lsage: AS.ramification_jumps()

-[?7h[?12l[?25h[?2004l[?7h[3, 7]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.ramification_jumps()[?7h[?12l[?25h[?25l[?7ljups[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 2 with the equations:
-z0^2 - z0 = x^3
-z1^2 - z1 = x^7
-
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lAS.ramification_jumps()[?7h[?12l[?25h[?25l[?7ljups[?7h[?12l[?25h[?25l[?7lsage: AS.jumps

-[?7h[?12l[?25h[?2004l[?7h[[3, 11]]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.jumps[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l1 3 [[3, 11]] 1 5
-^C---------------------------------------------------------------------------
-KeyboardInterrupt                         Traceback (most recent call last)
-Input In [6], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-File <string>:44, in __init__(self, C, list_of_fcts, prec)
-
-File <string>:134, in artin_schreier_transform(power_series, prec)
-
-File <string>:12, in new_reverse(power_series, prec)
-
-File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:1831, in sage.rings.laurent_series_ring_element.LaurentSeries.__call__()
-   1829 if x:
-   1830     raise ValueError("must not specify %s keyword and positional argument" % name)
--> 1831 a = self(kwds[name])
-   1832 del kwds[name]
-   1833 try:
-
-File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:1852, in sage.rings.laurent_series_ring_element.LaurentSeries.__call__()
-   1850         x = x[0]
-   1851 
--> 1852     return self.__u(*x)*(x[0]**self.__n)
-   1853 
-   1854 def __pari__(self):
-
-File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:365, in sage.rings.power_series_poly.PowerSeries_poly.__call__()
-    363         x[0] = a
-    364         x = tuple(x)
---> 365     return self.__f(x)
-    366 
-    367 def _unsafe_mutate(self, i, value):
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_element.pyx:898, in sage.rings.polynomial.polynomial_element.Polynomial.__call__()
-    896             return result
-    897         pol._compiled = CompiledPolynomialFunction(pol.list())
---> 898     return pol._compiled.eval(a)
-    899 
-    900 def compose_trunc(self, Polynomial other, long n):
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:125, in sage.rings.polynomial.polynomial_compiled.CompiledPolynomialFunction.eval()
-    123 cdef object temp
-    124 try:
---> 125     pd_eval(self._dag, x, self._coeffs)  #see further down
-    126     temp = self._dag.value               #for an explanation
-    127     pd_clean(self._dag)                  #of these 3 lines
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:353, in sage.rings.polynomial.polynomial_compiled.pd_eval()
-    351 cdef inline int pd_eval(generic_pd pd, object vars, object coeffs) except -2:
-    352     if pd.value is None:
---> 353         pd.eval(vars, coeffs)
-    354     pd.hits += 1
-    355 
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:507, in sage.rings.polynomial.polynomial_compiled.abc_pd.eval()
-    505 
-    506     cdef int eval(abc_pd self, object vars, object coeffs) except -2:
---> 507         pd_eval(self.left, vars, coeffs)
-    508         pd_eval(self.right, vars, coeffs)
-    509         self.value = self.left.value * self.right.value + coeffs[self.index]
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:353, in sage.rings.polynomial.polynomial_compiled.pd_eval()
-    351 cdef inline int pd_eval(generic_pd pd, object vars, object coeffs) except -2:
-    352     if pd.value is None:
---> 353         pd.eval(vars, coeffs)
-    354     pd.hits += 1
-    355 
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:507, in sage.rings.polynomial.polynomial_compiled.abc_pd.eval()
-    505 
-    506     cdef int eval(abc_pd self, object vars, object coeffs) except -2:
---> 507         pd_eval(self.left, vars, coeffs)
-    508         pd_eval(self.right, vars, coeffs)
-    509         self.value = self.left.value * self.right.value + coeffs[self.index]
-
-    [... skipping similar frames: sage.rings.polynomial.polynomial_compiled.pd_eval at line 353 (96 times), sage.rings.polynomial.polynomial_compiled.abc_pd.eval at line 507 (95 times)]
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:507, in sage.rings.polynomial.polynomial_compiled.abc_pd.eval()
-    505 
-    506     cdef int eval(abc_pd self, object vars, object coeffs) except -2:
---> 507         pd_eval(self.left, vars, coeffs)
-    508         pd_eval(self.right, vars, coeffs)
-    509         self.value = self.left.value * self.right.value + coeffs[self.index]
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:353, in sage.rings.polynomial.polynomial_compiled.pd_eval()
-    351 cdef inline int pd_eval(generic_pd pd, object vars, object coeffs) except -2:
-    352     if pd.value is None:
---> 353         pd.eval(vars, coeffs)
-    354     pd.hits += 1
-    355 
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:509, in sage.rings.polynomial.polynomial_compiled.abc_pd.eval()
-    507 pd_eval(self.left, vars, coeffs)
-    508 pd_eval(self.right, vars, coeffs)
---> 509 self.value = self.left.value * self.right.value + coeffs[self.index]
-    510 pd_clean(self.left)
-    511 pd_clean(self.right)
-
-File /ext/sage/9.7/src/sage/structure/element.pyx:1233, in sage.structure.element.Element.__add__()
-   1231 # Left and right are Sage elements => use coercion model
-   1232 if BOTH_ARE_ELEMENT(cl):
--> 1233     return coercion_model.bin_op(left, right, add)
-   1234 
-   1235 cdef long value
-
-File /ext/sage/9.7/src/sage/structure/coerce.pyx:1204, in sage.structure.coerce.CoercionModel.bin_op()
-   1202     self._record_exception()
-   1203 else:
--> 1204     return PyObject_CallObject(op, xy)
-   1205 
-   1206 if op is mul:
-
-File /ext/sage/9.7/src/sage/structure/element.pyx:1230, in sage.structure.element.Element.__add__()
-   1228 cdef int cl = classify_elements(left, right)
-   1229 if HAVE_SAME_PARENT(cl):
--> 1230     return (<Element>left)._add_(right)
-   1231 # Left and right are Sage elements => use coercion model
-   1232 if BOTH_ARE_ELEMENT(cl):
-
-File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:764, in sage.rings.laurent_series_ring_element.LaurentSeries._add_()
-    762 elif self.__n > right.__n:
-    763     m = right.__n
---> 764     f1 = self.__u << self.__n - m
-    765     f2 = right.__u
-    766 else:
-
-File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:583, in sage.rings.power_series_poly.PowerSeries_poly.__lshift__()
-    581 """
-    582 if n:
---> 583     return PowerSeries_poly(self._parent, self.__f << n, self._prec + n)
-    584 else:
-    585     return self
-
-File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:44, in sage.rings.power_series_poly.PowerSeries_poly.__init__()
-     42     ValueError: series has negative valuation
-     43 """
----> 44 R = parent._poly_ring()
-     45 if isinstance(f, Element):
-     46     if (<Element>f)._parent is R:
-
-File /ext/sage/9.7/src/sage/rings/power_series_ring.py:961, in PowerSeriesRing_generic._poly_ring(self)
-    958         pass
-    959     return False
---> 961 def _poly_ring(self):
-    962     """
-    963     Return the underlying polynomial ring used to represent elements of
-    964     this power series ring.
-   (...)
-    970         Univariate Polynomial Ring in t over Integer Ring
-    971     """
-    972     return self.__poly_ring
-
-File src/cysignals/signals.pyx:310, in cysignals.signals.python_check_interrupt()
-
-KeyboardInterrupt: 
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l1 3 [[3, 11]] 1 5
-1 5 [[3, 11]] 1 9
-1 7 [[3, 11]] 1 13
-1 9 [[3, 11]] 1 17
-1 11 [[3, 11]] 1 21
-1 13 [[3, 11]] 1 25
-3 5 [[3, 11]] 3 7
-3 7 [[3, 11]] 3 11
-3 9 [[3, 11]] 3 15
-3 11 [[3, 11]] 3 19
-3 13 [[3, 11]] 3 23
-5 7 [[3, 11]] 5 9
-5 9 [[3, 11]] 5 13
-5 11 [[3, 11]] 5 17
-5 13 [[3, 11]] 5 21
-7 9 [[3, 11]] 7 11
-7 11 [[3, 11]] 7 15
-7 13 [[3, 11]] 7 19
-9 11 [[3, 11]] 9 13
-9 13 [[3, 11]] 9 17
-11 13 [[3, 11]] 11 15
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l1 3 [[1, 5]] 1 5
-1 5 [[1, 9]] 1 9
-1 7 [[1, 13]] 1 13
-1 9 [[1, 17]] 1 17
-1 11 [[1, 21]] 1 21
-1 13 [[1, 25]] 1 25
-3 5 [[3, 7]] 3 7
-3 7 [[3, 11]] 3 11
-3 9 [[3, 15]] 3 15
-3 11 [[3, 19]] 3 19
-3 13 [[3, 23]] 3 23
-5 7 [[5, 9]] 5 9
-5 9 [[5, 13]] 5 13
-5 11 [[5, 17]] 5 17
-5 13 [[5, 21]] 5 21
-7 9 [[7, 11]] 7 11
-7 11 [[7, 15]] 7 15
-7 13 [[7, 19]] 7 19
-9 11 [[9, 13]] 9 13
-9 13 [[9, 17]] 9 17
-11 13 [[11, 15]] 11 15
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.jumps[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7lsage: AS

-[?7h[?12l[?25h[?2004l[?7h(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 2 with the equations:
-z0^2 - z0 = x^11
-z1^2 - z1 = x^13
-
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.jumps[?7h[?12l[?25h[?25l[?7lraification_jumps()[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lfication_jumps()[?7h[?12l[?25h[?25l[?7lsage: AS.ramification_jumps()

-[?7h[?12l[?25h[?2004l[?7h[11, 15]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.ramification_jumps()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lexponent_of_different_prim()[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7lonent_of_different_prim()[?7h[?12l[?25h[?25l[?7lsage: AS.exponent_of_different_prim()

-[?7h[?12l[?25h[?2004l[?7h37
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l1 3 [[1, 5]] 1 5
-3 7
-1 5 [[1, 9]] 1 9
-7 11
-1 7 [[1, 13]] 1 13
-11 15
-1 9 [[1, 17]] 1 17
-15 19
-1 11 [[1, 21]] 1 21
-19 23
-1 13 [[1, 25]] 1 25
-23 27
-3 5 [[3, 7]] 3 7
-9 13
-3 7 [[3, 11]] 3 11
-13 17
-3 9 [[3, 15]] 3 15
-17 21
-3 11 [[3, 19]] 3 19
-21 25
-3 13 [[3, 23]] 3 23
-25 29
-5 7 [[5, 9]] 5 9
-15 19
-5 9 [[5, 13]] 5 13
-19 23
-5 11 [[5, 17]] 5 17
-23 27
-5 13 [[5, 21]] 5 21
-27 31
-7 9 [[7, 11]] 7 11
-21 25
-7 11 [[7, 15]] 7 15
-25 29
-7 13 [[7, 19]] 7 19
-29 33
-9 11 [[9, 13]] 9 13
-27 31
-9 13 [[9, 17]] 9 17
-31 35
-11 13 [[11, 15]] 11 15
-33 37
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l1 3 [[1, 5]] 1 5
-7 7
-1 5 [[1, 9]] 1 9
-11 11
-1 7 [[1, 13]] 1 13
-15 15
-1 9 [[1, 17]] 1 17
-19 19
-1 11 [[1, 21]] 1 21
-23 23
-1 13 [[1, 25]] 1 25
-27 27
-3 5 [[3, 7]] 3 7
-13 13
-3 7 [[3, 11]] 3 11
-17 17
-3 9 [[3, 15]] 3 15
-21 21
-3 11 [[3, 19]] 3 19
-25 25
-3 13 [[3, 23]] 3 23
-29 29
-5 7 [[5, 9]] 5 9
-19 19
-5 9 [[5, 13]] 5 13
-23 23
-5 11 [[5, 17]] 5 17
-27 27
-5 13 [[5, 21]] 5 21
-31 31
-7 9 [[7, 11]] 7 11
-25 25
-7 11 [[7, 15]] 7 15
-29 29
-7 13 [[7, 19]] 7 19
-33 33
-9 11 [[9, 13]] 9 13
-31 31
-9 13 [[9, 17]] 9 17
-35 35
-11 13 [[11, 15]] 11 15
-37 37
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lzmag = AS.magical_element(threshold = 18)[0][?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.exponent_of_different_prim()[?7h[?12l[?25h[?25l[?7l.jorda_form(subdivide=True)[?7h[?12l[?25h[?25l[?7lz[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.exponent_of_different_prim()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lz[1]^2/AS.x*AS.dx[?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[]*[?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lz[?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7lsage: AS.z[0]*AS.z[1]

-[?7h[?12l[?25h[?2004l[?7hz0*z1
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.z[0]*AS.z[1][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(AS.z[0]*AS.z[1][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l)][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l([)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l])[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l().[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: (AS.z[0]*AS.z[1]).norm()

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-AttributeError                            Traceback (most recent call last)
-Input In [15], in <cell line: 1>()
-----> 1 (AS.z[Integer(0)]*AS.z[Integer(1)]).norm()
-
-AttributeError: 'as_function' object has no attribute 'norm'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lprint((identity_matrix(n) + A2.transpose()*A2).determinant()%p)[?7h[?12l[?25h[?25l[?7l = q.factor()[0][0][?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.z[0]*AS.z[1][?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lmagical_element()[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lg[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7lal_element()[?7h[?12l[?25h[?25l[?7lsage: AS.magical_element()

-[?7h[?12l[?25h[?2004l[?7h[]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.magical_element()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7lt)[?7h[?12l[?25h[?25l[?7lh)[?7h[?12l[?25h[?25l[?7lr)[?7h[?12l[?25h[?25l[?7le)[?7h[?12l[?25h[?25l[?7ls)[?7h[?12l[?25h[?25l[?7lh)[?7h[?12l[?25h[?25l[?7lo)[?7h[?12l[?25h[?25l[?7ll)[?7h[?12l[?25h[?25l[?7ld)[?7h[?12l[?25h[?25l[?7l=)[?7h[?12l[?25h[?25l[?7l2)[?7h[?12l[?25h[?25l[?7l0)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7lsage: AS.magical_element(threshold=20)

-[?7h[?12l[?25h[?2004l[?7h[x^12 + z0*z1]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lare_equivalent_matrix(A1, A2, q)[?7h[?12l[?25h[?25l[?7lsage: a

-[?7h[?12l[?25h[?2004l[?7h13
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7lsage: b

-[?7h[?12l[?25h[?2004l[?7h13
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(AS.z[0]*AS.z[1]).norm()[?7h[?12l[?25h[?25l[?7la^8 + a^7 + a^5 + a^3 + a^2)^2[?7h[?12l[?25h[?25l[?7l+[?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()/[?7h[?12l[?25h[?25l[?7l2[?7h[?12l[?25h[?25l[?7lsage: (a+b)/2

-[?7h[?12l[?25h[?2004l[?7h13
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.magical_element(threshold=20)[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7lsage: AS

-[?7h[?12l[?25h[?2004l[?7h(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 2 with the equations:
-z0^2 - z0 = x^11
-z1^2 - z1 = x^13
-
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(a+b)/2[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l+[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l3[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()/[?7h[?12l[?25h[?25l[?7l2[?7h[?12l[?25h[?25l[?7lsage: (11+13)/2

-[?7h[?12l[?25h[?2004l[?7h12
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l1 3 [[1, 5]] 1 5
-7 7
-1 5 [[1, 9]] 1 9
-11 11
-1 7 [[1, 13]] 1 13
-15 15
-1 9 [[1, 17]] 1 17
-19 19
-1 11 [[1, 21]] 1 21
-23 23
-1 13 [[1, 25]] 1 25
-27 27
-3 5 [[3, 7]] 3 7
-13 13
-3 7 [[3, 11]] 3 11
-17 17
-3 9 [[3, 15]] 3 15
-21 21
-3 11 [[3, 19]] 3 19
-25 25
-3 13 [[3, 23]] 3 23
-29 29
-5 7 [[5, 9]] 5 9
-19 19
-5 9 [[5, 13]] 5 13
-23 23
-5 11 [[5, 17]] 5 17
-27 27
-5 13 [[5, 21]] 5 21
-31 31
-7 9 [[7, 11]] 7 11
-25 25
-7 11 [[7, 15]] 7 15
-29 29
-7 13 [[7, 19]] 7 19
-33 33
-9 11 [[9, 13]] 9 13
-31 31
-9 13 [[9, 17]] 9 17
-35 35
-11 13 [[11, 15]] 11 15
-37 37
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ sage
-┌────────────────────────────────────────────────────────────────────┐
-│ SageMath version 9.7, Release Date: 2022-09-19                     │
-│ Using Python 3.10.5. Type "help()" for help.                       │
-└────────────────────────────────────────────────────────────────────┘
-]0;IPython: DeRhamComputation/sage[?2004h[?1l[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.magical_element(threshold=20)[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lgical_element(threshold=20)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7lsage: AS.magical_element()

-[?7h[?12l[?25h[?2004l[?7h[(a + 1)*x^3 + z0*z1]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l16.factor()[0][0][?7h[?12l[?25h[?25l[?7l/(a^13 + a^12 + a^11 + a^9 + a^8 + a^4 + a^3 + a)[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l+[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: 1/(a+1)

-[?7h[?12l[?25h[?2004l[?7ha
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ sage
-┌────────────────────────────────────────────────────────────────────┐
-│ SageMath version 9.7, Release Date: 2022-09-19                     │
-│ Using Python 3.10.5. Type "help()" for help.                       │
-└────────────────────────────────────────────────────────────────────┘
-]0;IPython: DeRhamComputation/sage[?2004h[?1l[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7load('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[x^6*z0 + x^5*z1 + x^4*z0 + x^4*z2 + z0*z1*z2]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[x^7*z0 + x^6*z1 + x^5*z0 + x^4*z2 + z0*z1*z2]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[x^7*z0 + x^6*z0 + x^6*z1 + x^5*z0 + x^5*z1 + x^4*z2 + z0*z1*z2]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ sage
-┌────────────────────────────────────────────────────────────────────┐
-│ SageMath version 9.7, Release Date: 2022-09-19                     │
-│ Using Python 3.10.5. Type "help()" for help.                       │
-└────────────────────────────────────────────────────────────────────┘
-]0;IPython: DeRhamComputation/sage[?2004h[?1l[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l/ext/sage/9.7/src/sage/rings/polynomial/polynomial_singular_interface.py:372:
-********************************************************************************
-Denominators of fraction field elements are sometimes dropped without warning.
-This issue is being tracked at https://trac.sagemath.org/sage_trac/ticket/17696.
-********************************************************************************
->> A := MatrixAlgebra<GF(4),6|[1, a + 1, 0, 0, 0, a, 0, 1, 0, 0, 0, 0, 0, 0, 1
-                                  ^
-User error: Identifier 'a' has not been declared or assigned
->> , 0, 1, 0, 0, 0, 0, 0, 0, 1]>;M := RModule(RSpace(GF(4),6), A);Indecomposab
-                                                               ^
-User error: Identifier 'A' has not been declared or assigned
->> ,6), A);IndecomposableSummands(M);
-                                  ^
-User error: Identifier 'M' has not been declared or assigned
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[
-RModule of dimension 3 over GF(2^2),
-RModule of dimension 3 over GF(2^2)
-]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [4], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:16, in <module>
-
-TypeError: group_action_matrices_holo() got an unexpected keyword argument 'threshold'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[
-RModule of dimension 1 over GF(2^2),
-RModule of dimension 2 over GF(2^2)
-]
-[
-RModule of dimension 3 over GF(2^2),
-RModule of dimension 3 over GF(2^2)
-]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[
-RModule of dimension 1 over GF(2^2),
-RModule of dimension 2 over GF(2^2),
-RModule of dimension 3 over GF(2^2)
-]
-[
-RModule of dimension 3 over GF(2^2),
-RModule of dimension 3 over GF(2^2),
-RModule of dimension 3 over GF(2^2),
-RModule of dimension 3 over GF(2^2)
-]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[
-RModule of dimension 1 over GF(2^2),
-RModule of dimension 1 over GF(2^2),
-RModule of dimension 2 over GF(2^2),
-RModule of dimension 2 over GF(2^2),
-RModule of dimension 3 over GF(2^2)
-]
-[
-RModule of dimension 3 over GF(2^2),
-RModule of dimension 3 over GF(2^2),
-RModule of dimension 3 over GF(2^2),
-RModule of dimension 3 over GF(2^2),
-RModule of dimension 3 over GF(2^2),
-RModule of dimension 3 over GF(2^2)
-]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[
-RModule of dimension 1 over GF(2^2),
-RModule of dimension 2 over GF(2^2)
-]
-[
-RModule of dimension 3 over GF(2^2),
-RModule of dimension 3 over GF(2^2)
-]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[
-RModule of dimension 1 over GF(2^2),
-RModule of dimension 2 over GF(2^2)
-]
-F<a> := GF(4);A := MatrixAlgebra<GF(4),6|[1, a + 1, 0, 0, 0, a, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, a, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1],[1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, a, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1]>;M := RModule(RSpace(GF(4),6), A);IndecomposableSummands(M);
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[
-RModule of dimension 1 over GF(2),
-RModule of dimension 4 over GF(2)
-]
-F<a> := GF(4);A := MatrixAlgebra<GF(2),10|[1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1],[1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]>;M := RModule(RSpace(GF(2),10), A);IndecomposableSummands(M);
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[
-RModule of dimension 1 over GF(2),
-RModule of dimension 4 over GF(2)
-]
-[
-RModule of dimension 2 over GF(2),
-RModule of dimension 2 over GF(2),
-RModule of dimension 3 over GF(2),
-RModule of dimension 3 over GF(2)
-]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[
-RModule of dimension 1 over GF(2),
-RModule of dimension 4 over GF(2)
-]
-A := MatrixAlgebra<GF(2),10|[1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1],[1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]>;M := RModule(RSpace(GF(2),10), A);IndecomposableSummands(M);
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ sage
-┌────────────────────────────────────────────────────────────────────┐
-│ SageMath version 9.7, Release Date: 2022-09-19                     │
-│ Using Python 3.10.5. Type "help()" for help.                       │
-└────────────────────────────────────────────────────────────────────┘
-]0;IPython: DeRhamComputation/sage[?2004h[?1l[?25l[?7lsage: [?7h[?12l[?25h[?7h[?2004lWARNING: your terminal doesn't support cursor position requests (CPR).

-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[
-RModule of dimension 1 over GF(2),
-RModule of dimension 4 over GF(2)
-]
-^C^C
-KeyboardInterrupt
-
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l1 3 [[1, 5]] 1 5
-7 7
-1 5 [[1, 9]] 1 9
-11 11
-1 7 [[1, 13]] 1 13
-15 15
-^C---------------------------------------------------------------------------
-AttributeError                            Traceback (most recent call last)
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_zz_pex.pyx:280, in sage.rings.polynomial.polynomial_zz_pex.Polynomial_ZZ_pEX.__call__()
-    279 try:
---> 280     if a.parent() is not K:
-    281         a = K.coerce(a)
-
-AttributeError: 'tuple' object has no attribute 'parent'
-
-During handling of the above exception, another exception occurred:
-
-KeyboardInterrupt                         Traceback (most recent call last)
-Input In [2], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:26, in <module>
-
-File <string>:44, in __init__(self, C, list_of_fcts, prec)
-
-File <string>:134, in artin_schreier_transform(power_series, prec)
-
-File <string>:12, in new_reverse(power_series, prec)
-
-File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:1831, in sage.rings.laurent_series_ring_element.LaurentSeries.__call__()
-   1829 if x:
-   1830     raise ValueError("must not specify %s keyword and positional argument" % name)
--> 1831 a = self(kwds[name])
-   1832 del kwds[name]
-   1833 try:
-
-File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:1852, in sage.rings.laurent_series_ring_element.LaurentSeries.__call__()
-   1850         x = x[0]
-   1851 
--> 1852     return self.__u(*x)*(x[0]**self.__n)
-   1853 
-   1854 def __pari__(self):
-
-File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:365, in sage.rings.power_series_poly.PowerSeries_poly.__call__()
-    363         x[0] = a
-    364         x = tuple(x)
---> 365     return self.__f(x)
-    366 
-    367 def _unsafe_mutate(self, i, value):
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_zz_pex.pyx:283, in sage.rings.polynomial.polynomial_zz_pex.Polynomial_ZZ_pEX.__call__()
-    281         a = K.coerce(a)
-    282 except (TypeError, AttributeError, NotImplementedError):
---> 283     return Polynomial.__call__(self, a)
-    284 
-    285 _a = self._parent._modulus.ZZ_pE(list(a.polynomial()))
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_element.pyx:898, in sage.rings.polynomial.polynomial_element.Polynomial.__call__()
-    896             return result
-    897         pol._compiled = CompiledPolynomialFunction(pol.list())
---> 898     return pol._compiled.eval(a)
-    899 
-    900 def compose_trunc(self, Polynomial other, long n):
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:125, in sage.rings.polynomial.polynomial_compiled.CompiledPolynomialFunction.eval()
-    123 cdef object temp
-    124 try:
---> 125     pd_eval(self._dag, x, self._coeffs)  #see further down
-    126     temp = self._dag.value               #for an explanation
-    127     pd_clean(self._dag)                  #of these 3 lines
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:353, in sage.rings.polynomial.polynomial_compiled.pd_eval()
-    351 cdef inline int pd_eval(generic_pd pd, object vars, object coeffs) except -2:
-    352     if pd.value is None:
---> 353         pd.eval(vars, coeffs)
-    354     pd.hits += 1
-    355 
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:507, in sage.rings.polynomial.polynomial_compiled.abc_pd.eval()
-    505 
-    506     cdef int eval(abc_pd self, object vars, object coeffs) except -2:
---> 507         pd_eval(self.left, vars, coeffs)
-    508         pd_eval(self.right, vars, coeffs)
-    509         self.value = self.left.value * self.right.value + coeffs[self.index]
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:353, in sage.rings.polynomial.polynomial_compiled.pd_eval()
-    351 cdef inline int pd_eval(generic_pd pd, object vars, object coeffs) except -2:
-    352     if pd.value is None:
---> 353         pd.eval(vars, coeffs)
-    354     pd.hits += 1
-    355 
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:507, in sage.rings.polynomial.polynomial_compiled.abc_pd.eval()
-    505 
-    506     cdef int eval(abc_pd self, object vars, object coeffs) except -2:
---> 507         pd_eval(self.left, vars, coeffs)
-    508         pd_eval(self.right, vars, coeffs)
-    509         self.value = self.left.value * self.right.value + coeffs[self.index]
-
-    [... skipping similar frames: sage.rings.polynomial.polynomial_compiled.pd_eval at line 353 (10 times), sage.rings.polynomial.polynomial_compiled.abc_pd.eval at line 507 (9 times)]
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:507, in sage.rings.polynomial.polynomial_compiled.abc_pd.eval()
-    505 
-    506     cdef int eval(abc_pd self, object vars, object coeffs) except -2:
---> 507         pd_eval(self.left, vars, coeffs)
-    508         pd_eval(self.right, vars, coeffs)
-    509         self.value = self.left.value * self.right.value + coeffs[self.index]
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:353, in sage.rings.polynomial.polynomial_compiled.pd_eval()
-    351 cdef inline int pd_eval(generic_pd pd, object vars, object coeffs) except -2:
-    352     if pd.value is None:
---> 353         pd.eval(vars, coeffs)
-    354     pd.hits += 1
-    355 
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:509, in sage.rings.polynomial.polynomial_compiled.abc_pd.eval()
-    507 pd_eval(self.left, vars, coeffs)
-    508 pd_eval(self.right, vars, coeffs)
---> 509 self.value = self.left.value * self.right.value + coeffs[self.index]
-    510 pd_clean(self.left)
-    511 pd_clean(self.right)
-
-File /ext/sage/9.7/src/sage/structure/element.pyx:1514, in sage.structure.element.Element.__mul__()
-   1512 cdef int cl = classify_elements(left, right)
-   1513 if HAVE_SAME_PARENT(cl):
--> 1514     return (<Element>left)._mul_(right)
-   1515 if BOTH_ARE_ELEMENT(cl):
-   1516     return coercion_model.bin_op(left, right, mul)
-
-File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:912, in sage.rings.laurent_series_ring_element.LaurentSeries._mul_()
-    910 """
-    911 cdef LaurentSeries right = <LaurentSeries>right_r
---> 912 return type(self)(self._parent,
-    913                   self.__u * right.__u,
-    914                   self.__n + right.__n)
-
-File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:165, in sage.rings.laurent_series_ring_element.LaurentSeries.__init__()
-    163         self.__u = f
-    164 else:
---> 165     val = f.valuation()
-    166     if val is infinity:
-    167         self.__n = 0
-
-File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:134, in sage.rings.power_series_poly.PowerSeries_poly.valuation()
-    132         return self._prec
-    133 
---> 134     return self.__f.valuation()
-    135 
-    136 def degree(self):
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_element.pyx:9215, in sage.rings.polynomial.polynomial_element.Polynomial.valuation()
-   9213 if p is None:
-   9214     for k from 0 <= k <= self.degree():
--> 9215         if self.get_unsafe(k):
-   9216             return ZZ(k)
-   9217 if isinstance(p, Polynomial):
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_zz_pex.pyx:179, in sage.rings.polynomial.polynomial_zz_pex.Polynomial_ZZ_pEX.get_unsafe()
-    177     self._parent._modulus.restore()
-    178     cdef ZZ_pE_c c_pE = ZZ_pEX_coeff(self.x, i)
---> 179     return self._parent._base(ZZ_pE_c_to_list(c_pE))
-    180 
-    181 cpdef list list(self, bint copy=True):
-
-File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
-    895 if mor is not None:
-    896     if no_extra_args:
---> 897         return mor._call_(x)
-    898     else:
-    899         return mor._call_with_args(x, args, kwds)
-
-File /ext/sage/9.7/src/sage/structure/coerce_maps.pyx:156, in sage.structure.coerce_maps.DefaultConvertMap_unique._call_()
-    154 cdef Parent C = self._codomain
-    155 try:
---> 156     return C._element_constructor(x)
-    157 except Exception:
-    158     if print_warnings:
-
-File /ext/sage/9.7/src/sage/rings/finite_rings/finite_field_givaro.py:229, in FiniteField_givaro._element_constructor_(self, e)
-    211     """
-    212     Return a random element of ``self``.
-    213 
-   (...)
-    225         True
-    226     """
-    227     return self._cache.random_element()
---> 229 def _element_constructor_(self, e):
-    230     """
-    231     Coerces several data types to ``self``.
-    232 
-   (...)
-    368         2*a4^3 + 2*a4^2 + 1
-    369     """
-    370     return self._cache.element_from_data(e)
-
-File src/cysignals/signals.pyx:310, in cysignals.signals.python_check_interrupt()
-
-KeyboardInterrupt: 
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l1 2 [[1, 4]] 1 4
-7 14
-1 4 [[1, 10]] 1 10
-13 26
-^C---------------------------------------------------------------------------
-AttributeError                            Traceback (most recent call last)
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_zz_pex.pyx:280, in sage.rings.polynomial.polynomial_zz_pex.Polynomial_ZZ_pEX.__call__()
-    279 try:
---> 280     if a.parent() is not K:
-    281         a = K.coerce(a)
-
-AttributeError: 'tuple' object has no attribute 'parent'
-
-During handling of the above exception, another exception occurred:
-
-KeyboardInterrupt                         Traceback (most recent call last)
-Input In [3], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:26, in <module>
-
-File <string>:44, in __init__(self, C, list_of_fcts, prec)
-
-File <string>:134, in artin_schreier_transform(power_series, prec)
-
-File <string>:12, in new_reverse(power_series, prec)
-
-File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:1831, in sage.rings.laurent_series_ring_element.LaurentSeries.__call__()
-   1829 if x:
-   1830     raise ValueError("must not specify %s keyword and positional argument" % name)
--> 1831 a = self(kwds[name])
-   1832 del kwds[name]
-   1833 try:
-
-File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:1852, in sage.rings.laurent_series_ring_element.LaurentSeries.__call__()
-   1850         x = x[0]
-   1851 
--> 1852     return self.__u(*x)*(x[0]**self.__n)
-   1853 
-   1854 def __pari__(self):
-
-File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:365, in sage.rings.power_series_poly.PowerSeries_poly.__call__()
-    363         x[0] = a
-    364         x = tuple(x)
---> 365     return self.__f(x)
-    366 
-    367 def _unsafe_mutate(self, i, value):
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_zz_pex.pyx:283, in sage.rings.polynomial.polynomial_zz_pex.Polynomial_ZZ_pEX.__call__()
-    281         a = K.coerce(a)
-    282 except (TypeError, AttributeError, NotImplementedError):
---> 283     return Polynomial.__call__(self, a)
-    284 
-    285 _a = self._parent._modulus.ZZ_pE(list(a.polynomial()))
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_element.pyx:898, in sage.rings.polynomial.polynomial_element.Polynomial.__call__()
-    896             return result
-    897         pol._compiled = CompiledPolynomialFunction(pol.list())
---> 898     return pol._compiled.eval(a)
-    899 
-    900 def compose_trunc(self, Polynomial other, long n):
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:125, in sage.rings.polynomial.polynomial_compiled.CompiledPolynomialFunction.eval()
-    123 cdef object temp
-    124 try:
---> 125     pd_eval(self._dag, x, self._coeffs)  #see further down
-    126     temp = self._dag.value               #for an explanation
-    127     pd_clean(self._dag)                  #of these 3 lines
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:353, in sage.rings.polynomial.polynomial_compiled.pd_eval()
-    351 cdef inline int pd_eval(generic_pd pd, object vars, object coeffs) except -2:
-    352     if pd.value is None:
---> 353         pd.eval(vars, coeffs)
-    354     pd.hits += 1
-    355 
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:507, in sage.rings.polynomial.polynomial_compiled.abc_pd.eval()
-    505 
-    506     cdef int eval(abc_pd self, object vars, object coeffs) except -2:
---> 507         pd_eval(self.left, vars, coeffs)
-    508         pd_eval(self.right, vars, coeffs)
-    509         self.value = self.left.value * self.right.value + coeffs[self.index]
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:353, in sage.rings.polynomial.polynomial_compiled.pd_eval()
-    351 cdef inline int pd_eval(generic_pd pd, object vars, object coeffs) except -2:
-    352     if pd.value is None:
---> 353         pd.eval(vars, coeffs)
-    354     pd.hits += 1
-    355 
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:507, in sage.rings.polynomial.polynomial_compiled.abc_pd.eval()
-    505 
-    506     cdef int eval(abc_pd self, object vars, object coeffs) except -2:
---> 507         pd_eval(self.left, vars, coeffs)
-    508         pd_eval(self.right, vars, coeffs)
-    509         self.value = self.left.value * self.right.value + coeffs[self.index]
-
-    [... skipping similar frames: sage.rings.polynomial.polynomial_compiled.pd_eval at line 353 (13 times), sage.rings.polynomial.polynomial_compiled.abc_pd.eval at line 507 (12 times)]
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:507, in sage.rings.polynomial.polynomial_compiled.abc_pd.eval()
-    505 
-    506     cdef int eval(abc_pd self, object vars, object coeffs) except -2:
---> 507         pd_eval(self.left, vars, coeffs)
-    508         pd_eval(self.right, vars, coeffs)
-    509         self.value = self.left.value * self.right.value + coeffs[self.index]
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:353, in sage.rings.polynomial.polynomial_compiled.pd_eval()
-    351 cdef inline int pd_eval(generic_pd pd, object vars, object coeffs) except -2:
-    352     if pd.value is None:
---> 353         pd.eval(vars, coeffs)
-    354     pd.hits += 1
-    355 
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:509, in sage.rings.polynomial.polynomial_compiled.abc_pd.eval()
-    507 pd_eval(self.left, vars, coeffs)
-    508 pd_eval(self.right, vars, coeffs)
---> 509 self.value = self.left.value * self.right.value + coeffs[self.index]
-    510 pd_clean(self.left)
-    511 pd_clean(self.right)
-
-File /ext/sage/9.7/src/sage/structure/element.pyx:1514, in sage.structure.element.Element.__mul__()
-   1512 cdef int cl = classify_elements(left, right)
-   1513 if HAVE_SAME_PARENT(cl):
--> 1514     return (<Element>left)._mul_(right)
-   1515 if BOTH_ARE_ELEMENT(cl):
-   1516     return coercion_model.bin_op(left, right, mul)
-
-File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:913, in sage.rings.laurent_series_ring_element.LaurentSeries._mul_()
-    911 cdef LaurentSeries right = <LaurentSeries>right_r
-    912 return type(self)(self._parent,
---> 913                   self.__u * right.__u,
-    914                   self.__n + right.__n)
-    915 
-
-File /ext/sage/9.7/src/sage/structure/element.pyx:1514, in sage.structure.element.Element.__mul__()
-   1512 cdef int cl = classify_elements(left, right)
-   1513 if HAVE_SAME_PARENT(cl):
--> 1514     return (<Element>left)._mul_(right)
-   1515 if BOTH_ARE_ELEMENT(cl):
-   1516     return coercion_model.bin_op(left, right, mul)
-
-File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:539, in sage.rings.power_series_poly.PowerSeries_poly._mul_()
-    537     19*w^10 + 323*w^11 + O(w^12)
-    538 """
---> 539 prec = self._mul_prec(right_r)
-    540 return PowerSeries_poly(self._parent,
-    541                         self.__f * (<PowerSeries_poly>right_r).__f,
-
-File /ext/sage/9.7/src/sage/rings/power_series_ring_element.pyx:949, in sage.rings.power_series_ring_element.PowerSeries._mul_prec()
-    947         prec = sp + right.valuation()
-    948     else:
---> 949         prec = min(rp + self.valuation(), sp + right.valuation())
-    950 # endif
-    951 return prec
-
-File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:131, in sage.rings.power_series_poly.PowerSeries_poly.valuation()
-    129     +Infinity
-    130 """
---> 131 if self.__f == 0:
-    132     return self._prec
-    133 
-
-File /ext/sage/9.7/src/sage/structure/element.pyx:1112, in sage.structure.element.Element.__richcmp__()
-   1110         return (<Element>self)._richcmp_(other, op)
-   1111     else:
--> 1112         return coercion_model.richcmp(self, other, op)
-   1113 
-   1114 cpdef _richcmp_(left, right, int op):
-
-File /ext/sage/9.7/src/sage/structure/coerce.pyx:1973, in sage.structure.coerce.CoercionModel.richcmp()
-   1971 # Coerce to a common parent
-   1972 try:
--> 1973     x, y = self.canonical_coercion(x, y)
-   1974 except (TypeError, NotImplementedError):
-   1975     pass
-
-File /ext/sage/9.7/src/sage/structure/coerce.pyx:1315, in sage.structure.coerce.CoercionModel.canonical_coercion()
-   1313     x_elt = x
-   1314 if y_map is not None:
--> 1315     y_elt = (<Map>y_map)._call_(y)
-   1316 else:
-   1317     y_elt = y
-
-File /ext/sage/9.7/src/sage/categories/map.pyx:1692, in sage.categories.map.FormalCompositeMap._call_()
-   1690 """
-   1691 for f in self.__list:
--> 1692     x = f._call_(x)
-   1693 return x
-   1694 
-
-File /ext/sage/9.7/src/sage/structure/coerce_maps.pyx:153, in sage.structure.coerce_maps.DefaultConvertMap_unique._call_()
-    151 argument is assumed to be bound to the codomain).
-    152 """
---> 153 cpdef Element _call_(self, x):
-    154     cdef Parent C = self._codomain
-    155     try:
-
-File /ext/sage/9.7/src/sage/structure/coerce_maps.pyx:156, in sage.structure.coerce_maps.DefaultConvertMap_unique._call_()
-    154 cdef Parent C = self._codomain
-    155 try:
---> 156     return C._element_constructor(x)
-    157 except Exception:
-    158     if print_warnings:
-
-File /ext/sage/9.7/src/sage/rings/finite_rings/finite_field_givaro.py:229, in FiniteField_givaro._element_constructor_(self, e)
-    211     """
-    212     Return a random element of ``self``.
-    213 
-   (...)
-    225         True
-    226     """
-    227     return self._cache.random_element()
---> 229 def _element_constructor_(self, e):
-    230     """
-    231     Coerces several data types to ``self``.
-    232 
-   (...)
-    368         2*a4^3 + 2*a4^2 + 1
-    369     """
-    370     return self._cache.element_from_data(e)
-
-File src/cysignals/signals.pyx:310, in cysignals.signals.python_check_interrupt()
-
-KeyboardInterrupt: 
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004lTraceback (most recent call last):
-
-  File /ext/sage/9.7/local/var/lib/sage/venv-python3.10.5/lib/python3.10/site-packages/IPython/core/interactiveshell.py:3398 in run_code
-    exec(code_obj, self.user_global_ns, self.user_ns)
-
-  Input In [4] in <cell line: 1>
-    load('init.sage')
-
-  File sage/misc/persist.pyx:175 in sage.misc.persist.load
-    sage.repl.load.load(filename, globals())
-
-  File /ext/sage/9.7/src/sage/repl/load.py:272 in load
-    exec(preparse_file(f.read()) + "\n", globals)
-
-  File <string>:21 in <module>
-
-  File sage/misc/persist.pyx:175 in sage.misc.persist.load
-    sage.repl.load.load(filename, globals())
-
-  File /ext/sage/9.7/src/sage/repl/load.py:272 in load
-    exec(preparse_file(f.read()) + "\n", globals)
-
-  File <string>:28
-    print((p-_sage_const_1 )*(a+p*b, AS.exponent_of_different_prim())
-         ^
-SyntaxError: '(' was never closed
-
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l1 2 [[1, 4]] 1 4
-14 14
-1 4 [[1, 10]] 1 10
-26 26
-1 5 [[1, 13]] 1 13
-32 32
-1 7 [[1, 19]] 1 19
-44 44
-1 8 [[1, 22]] 1 22
-50 50
-1 10 [[1, 28]] 1 28
-62 62
-1 11 [[1, 31]] 1 31
-68 68
-^C---------------------------------------------------------------------------
-AttributeError                            Traceback (most recent call last)
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_zz_pex.pyx:280, in sage.rings.polynomial.polynomial_zz_pex.Polynomial_ZZ_pEX.__call__()
-    279 try:
---> 280     if a.parent() is not K:
-    281         a = K.coerce(a)
-
-AttributeError: 'tuple' object has no attribute 'parent'
-
-During handling of the above exception, another exception occurred:
-
-KeyboardInterrupt                         Traceback (most recent call last)
-Input In [5], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:26, in <module>
-
-File <string>:44, in __init__(self, C, list_of_fcts, prec)
-
-File <string>:134, in artin_schreier_transform(power_series, prec)
-
-File <string>:12, in new_reverse(power_series, prec)
-
-File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:1831, in sage.rings.laurent_series_ring_element.LaurentSeries.__call__()
-   1829 if x:
-   1830     raise ValueError("must not specify %s keyword and positional argument" % name)
--> 1831 a = self(kwds[name])
-   1832 del kwds[name]
-   1833 try:
-
-File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:1852, in sage.rings.laurent_series_ring_element.LaurentSeries.__call__()
-   1850         x = x[0]
-   1851 
--> 1852     return self.__u(*x)*(x[0]**self.__n)
-   1853 
-   1854 def __pari__(self):
-
-File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:365, in sage.rings.power_series_poly.PowerSeries_poly.__call__()
-    363         x[0] = a
-    364         x = tuple(x)
---> 365     return self.__f(x)
-    366 
-    367 def _unsafe_mutate(self, i, value):
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_zz_pex.pyx:283, in sage.rings.polynomial.polynomial_zz_pex.Polynomial_ZZ_pEX.__call__()
-    281         a = K.coerce(a)
-    282 except (TypeError, AttributeError, NotImplementedError):
---> 283     return Polynomial.__call__(self, a)
-    284 
-    285 _a = self._parent._modulus.ZZ_pE(list(a.polynomial()))
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_element.pyx:898, in sage.rings.polynomial.polynomial_element.Polynomial.__call__()
-    896             return result
-    897         pol._compiled = CompiledPolynomialFunction(pol.list())
---> 898     return pol._compiled.eval(a)
-    899 
-    900 def compose_trunc(self, Polynomial other, long n):
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:125, in sage.rings.polynomial.polynomial_compiled.CompiledPolynomialFunction.eval()
-    123 cdef object temp
-    124 try:
---> 125     pd_eval(self._dag, x, self._coeffs)  #see further down
-    126     temp = self._dag.value               #for an explanation
-    127     pd_clean(self._dag)                  #of these 3 lines
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:353, in sage.rings.polynomial.polynomial_compiled.pd_eval()
-    351 cdef inline int pd_eval(generic_pd pd, object vars, object coeffs) except -2:
-    352     if pd.value is None:
---> 353         pd.eval(vars, coeffs)
-    354     pd.hits += 1
-    355 
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:507, in sage.rings.polynomial.polynomial_compiled.abc_pd.eval()
-    505 
-    506     cdef int eval(abc_pd self, object vars, object coeffs) except -2:
---> 507         pd_eval(self.left, vars, coeffs)
-    508         pd_eval(self.right, vars, coeffs)
-    509         self.value = self.left.value * self.right.value + coeffs[self.index]
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:353, in sage.rings.polynomial.polynomial_compiled.pd_eval()
-    351 cdef inline int pd_eval(generic_pd pd, object vars, object coeffs) except -2:
-    352     if pd.value is None:
---> 353         pd.eval(vars, coeffs)
-    354     pd.hits += 1
-    355 
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:507, in sage.rings.polynomial.polynomial_compiled.abc_pd.eval()
-    505 
-    506     cdef int eval(abc_pd self, object vars, object coeffs) except -2:
---> 507         pd_eval(self.left, vars, coeffs)
-    508         pd_eval(self.right, vars, coeffs)
-    509         self.value = self.left.value * self.right.value + coeffs[self.index]
-
-    [... skipping similar frames: sage.rings.polynomial.polynomial_compiled.pd_eval at line 353 (5 times), sage.rings.polynomial.polynomial_compiled.abc_pd.eval at line 507 (4 times)]
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:507, in sage.rings.polynomial.polynomial_compiled.abc_pd.eval()
-    505 
-    506     cdef int eval(abc_pd self, object vars, object coeffs) except -2:
---> 507         pd_eval(self.left, vars, coeffs)
-    508         pd_eval(self.right, vars, coeffs)
-    509         self.value = self.left.value * self.right.value + coeffs[self.index]
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:353, in sage.rings.polynomial.polynomial_compiled.pd_eval()
-    351 cdef inline int pd_eval(generic_pd pd, object vars, object coeffs) except -2:
-    352     if pd.value is None:
---> 353         pd.eval(vars, coeffs)
-    354     pd.hits += 1
-    355 
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:509, in sage.rings.polynomial.polynomial_compiled.abc_pd.eval()
-    507 pd_eval(self.left, vars, coeffs)
-    508 pd_eval(self.right, vars, coeffs)
---> 509 self.value = self.left.value * self.right.value + coeffs[self.index]
-    510 pd_clean(self.left)
-    511 pd_clean(self.right)
-
-File /ext/sage/9.7/src/sage/structure/element.pyx:1233, in sage.structure.element.Element.__add__()
-   1231 # Left and right are Sage elements => use coercion model
-   1232 if BOTH_ARE_ELEMENT(cl):
--> 1233     return coercion_model.bin_op(left, right, add)
-   1234 
-   1235 cdef long value
-
-File /ext/sage/9.7/src/sage/structure/coerce.pyx:1200, in sage.structure.coerce.CoercionModel.bin_op()
-   1198 # Now coerce to a common parent and do the operation there
-   1199 try:
--> 1200     xy = self.canonical_coercion(x, y)
-   1201 except TypeError:
-   1202     self._record_exception()
-
-File /ext/sage/9.7/src/sage/structure/coerce.pyx:1315, in sage.structure.coerce.CoercionModel.canonical_coercion()
-   1313     x_elt = x
-   1314 if y_map is not None:
--> 1315     y_elt = (<Map>y_map)._call_(y)
-   1316 else:
-   1317     y_elt = y
-
-File /ext/sage/9.7/src/sage/categories/morphism.pyx:601, in sage.categories.morphism.SetMorphism._call_()
-    599         3
-    600     """
---> 601     return self._function(x)
-    602 
-    603 cpdef Element _call_with_args(self, x, args=(), kwds={}):
-
-File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:919, in sage.rings.laurent_series_ring_element.LaurentSeries._lmul_()
-    917     return type(self)(self._parent, self.__u._rmul_(c), self.__n)
-    918 
---> 919 cpdef _lmul_(self, Element c):
-    920     return type(self)(self._parent, self.__u._lmul_(c), self.__n)
-    921 
-
-File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:920, in sage.rings.laurent_series_ring_element.LaurentSeries._lmul_()
-    918 
-    919     cpdef _lmul_(self, Element c):
---> 920         return type(self)(self._parent, self.__u._lmul_(c), self.__n)
-    921 
-    922     def __pow__(_self, r, dummy):
-
-File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:569, in sage.rings.power_series_poly.PowerSeries_poly._lmul_()
-    567         2 + 6*t^4 + O(t^120)
-    568     """
---> 569     return PowerSeries_poly(self._parent, c * self.__f, self._prec, check=False)
-    570 
-    571 def __lshift__(PowerSeries_poly self, n):
-
-File /ext/sage/9.7/src/sage/structure/element.pyx:1516, in sage.structure.element.Element.__mul__()
-   1514     return (<Element>left)._mul_(right)
-   1515 if BOTH_ARE_ELEMENT(cl):
--> 1516     return coercion_model.bin_op(left, right, mul)
-   1517 
-   1518 cdef long value
-
-File /ext/sage/9.7/src/sage/structure/coerce.pyx:1194, in sage.structure.coerce.CoercionModel.bin_op()
-   1192 if action is not None:
-   1193     if (<Action>action)._is_left:
--> 1194         return (<Action>action)._act_(x, y)
-   1195     else:
-   1196         return (<Action>action)._act_(y, x)
-
-File /ext/sage/9.7/src/sage/structure/coerce_actions.pyx:612, in sage.structure.coerce_actions.LeftModuleAction._act_()
-    610 if self.extended_base is not None:
-    611     a = <ModuleElement?>self.extended_base(a)
---> 612 return (<ModuleElement>a)._rmul_(<Element>g)  # g * a
-    613 
-    614 
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_element.pyx:400, in sage.rings.polynomial.polynomial_element.Polynomial._rmul_()
-    398     if not right:
-    399         return self._parent.zero()
---> 400     return self * self._parent(right)
-    401 
-    402 def subs(self, *x, **kwds):
-
-File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
-    895 if mor is not None:
-    896     if no_extra_args:
---> 897         return mor._call_(x)
-    898     else:
-    899         return mor._call_with_args(x, args, kwds)
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_element.pyx:12221, in sage.rings.polynomial.polynomial_element.PolynomialBaseringInjection._call_()
-  12219         Univariate Polynomial Ring in x over Integer Ring
-  12220     """
-> 12221     return self._new_constant_poly_(x, self._codomain)
-  12222 
-  12223 cpdef Element _call_with_args(self, x, args=(), kwds={}):
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_element.pyx:5449, in sage.rings.polynomial.polynomial_element.Polynomial._new_constant_poly()
-   5447     return self.get_unsafe(0)
-   5448 
--> 5449 cpdef Polynomial _new_constant_poly(self, a, Parent P):
-   5450     """
-   5451     Create a new constant polynomial from a in P, which MUST be an
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_element.pyx:5463, in sage.rings.polynomial.polynomial_element.Polynomial._new_constant_poly()
-   5461     """
-   5462     t = type(self)
--> 5463     return t(P, [a] if a else [], check=False)
-   5464 
-   5465 def is_monic(self):
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_zz_pex.pyx:151, in sage.rings.polynomial.polynomial_zz_pex.Polynomial_ZZ_pEX.__init__()
-    149     # not do K.coerce(e) but K(e).
-    150     e = K(e)
---> 151     d = parent._modulus.ZZ_pE(list(e.polynomial()))
-    152     ZZ_pEX_SetCoeff(self.x, i, d.x)
-    153 return
-
-File /ext/sage/9.7/src/sage/libs/ntl/ntl_ZZ_pEContext.pyx:149, in sage.libs.ntl.ntl_ZZ_pEContext.ntl_ZZ_pEContext_class.ZZ_pE()
-    147     [4 3]
-    148 """
---> 149 from .ntl_ZZ_pE import ntl_ZZ_pE
-    150 return ntl_ZZ_pE(v,modulus=self)
-    151 
-
-File <frozen importlib._bootstrap>:404, in parent(self)
-
-File src/cysignals/signals.pyx:310, in cysignals.signals.python_check_interrupt()
-
-KeyboardInterrupt: 
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l1 2 [[1, 6]] 1 6
-44 44
-1 3 [[1, 11]] 1 11
-64 64
-1 4 [[1, 16]] 1 16
-84 84
-1 6 [[1, 26]] 1 26
-124 124
-1 7 [[1, 31]] 1 31
-144 144
-no  36 -th root; divide by 2
----------------------------------------------------------------------------
-ValueError                                Traceback (most recent call last)
-Input In [6], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:26, in <module>
-
-File <string>:44, in __init__(self, C, list_of_fcts, prec)
-
-ValueError: not enough values to unpack (expected 4, got 2)
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.magical_element()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7lsage: AS

-[?7h[?12l[?25h[?2004l[?7h(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field in a of size 5^2 with the equations:
-z0^5 - z0 = x
-z1^5 - z1 = x^7
-
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: AS

-[?7h[?12l[?25h[?2004l[?7h(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field in a of size 5^2 with the equations:
-z0^5 - z0 = x
-z1^5 - z1 = x^7
-
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lz[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.magical_element()[?7h[?12l[?25h[?25l[?7lz[0]*AS.z[1][?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l0]*AS.z[1][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[]^*AS.z[1][?7h[?12l[?25h[?25l[?7l(*AS.z[1][?7h[?12l[?25h[?25l[?7l()*AS.z[1][?7h[?12l[?25h[?25l[?7l()p*AS.z[1][?7h[?12l[?25h[?25l[?7l-*AS.z[1][?7h[?12l[?25h[?25l[?7l*AS.z[1][?7h[?12l[?25h[?25l[?7l()*AS.z[1][?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7lp)*AS.z[1][?7h[?12l[?25h[?25l[?7l-)*AS.z[1][?7h[?12l[?25h[?25l[?7l1)*AS.z[1][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004lno  8 -th root; divide by 2
----------------------------------------------------------------------------
-ValueError                                Traceback (most recent call last)
-Input In [9], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:37, in <module>
-
-File <string>:44, in __init__(self, C, list_of_fcts, prec)
-
-ValueError: not enough values to unpack (expected 4, got 2)
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7lsage: AS

-[?7h[?12l[?25h[?2004l[?7h(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 5 with the equations:
-z0^5 - z0 = x^3
-z1^5 - z1 = 3*x^4
-
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.magical_element()[?7h[?12l[?25h[?25l[?7lz[0]*AS.z[1][?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l-[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[]*AS.z[1][?7h[?12l[?25h[?25l[?7l[]^[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7lp)[?7h[?12l[?25h[?25l[?7l-)[?7h[?12l[?25h[?25l[?7l1)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()*[?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lz[?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[]^[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7l-[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: AS.z[0]^(p-1)*AS.z[1]^(p-1)

-[?7h[?12l[?25h[?2004l[?7hz0^4*z1^4
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.z[0]^(p-1)*AS.z[1]^(p-1)[?7h[?12l[?25h[?25l[?7l().[?7h[?12l[?25h[?25l[?7lv[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: AS.z[0]^(p-1)*AS.z[1]^(p-1).valuation()

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [13], in <cell line: 1>()
-----> 1 AS.z[Integer(0)]**(p-Integer(1))*AS.z[Integer(1)]**(p-Integer(1)).valuation()
-
-TypeError: Integer.valuation() takes exactly one argument (0 given)
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.z[0]^(p-1)*AS.z[1]^(p-1).valuation()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[]()[?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[]()[?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(AS.z[0]^(p-1)*AS.z[1]^(p-1).valuation()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(()).valuation()[?7h[?12l[?25h[?25l[?7l()()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: (AS.z[0]^(p-1)*AS.z[1]^(p-1)).valuation()

-[?7h[?12l[?25h[?2004l[?7h-140
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l4*Q[?7h[?12l[?25h[?25l[?7l*[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l-[?7h[?12l[?25h[?25l[?7l2[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l*[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.z[0]^(p-1)*AS.z[1]^(p-1).valuation()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lmagical_element()[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lg[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lcal_element()[?7h[?12l[?25h[?25l[?7lsage: AS.magical_element()

-[?7h[?12l[?25h[?2004l[?7h[z0^4*z1^4 + 2*x^3*z0^3*z1 - 2*x^2*z0^2*z1^3 + x^5*z0 - x^4*z1^2]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.magical_element()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lexponent_of_different_prim()[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7lonent_of_different_prim()[?7h[?12l[?25h[?25l[?7lsage: AS.exponent_of_different_prim()

-[?7h[?12l[?25h[?2004l[?7h92
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.exponent_of_different_prim()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lz[0]^(p-1)*AS.z[1]^(p-1).valuation()[?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[]^[?7h[?12l[?25h[?25l[?7l3[?7h[?12l[?25h[?25l[?7l*[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(AS.z[0]^3*[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7lA)[?7h[?12l[?25h[?25l[?7lS)[?7h[?12l[?25h[?25l[?7l.)[?7h[?12l[?25h[?25l[?7lz)[?7h[?12l[?25h[?25l[?7l[)[?7h[?12l[?25h[?25l[?7l1)[?7h[?12l[?25h[?25l[?7l])[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l().[?7h[?12l[?25h[?25l[?7lv[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: (AS.z[0]^3*AS.z[1]).valuation()

-[?7h[?12l[?25h[?2004l[?7h-65
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(AS.z[0]^3*AS.z[1]).valuation()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l^).valuation()[?7h[?12l[?25h[?25l[?7l3).valuation()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l*AS.z[1]^3).valuation()[?7h[?12l[?25h[?25l[?7l2*AS.z[1]^3).valuation()[?7h[?12l[?25h[?25l[?7lsage: (AS.z[0]^2*AS.z[1]^3).valuation()

-[?7h[?12l[?25h[?2004l[?7h-90
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7load('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004lno  18 -th root; divide by 3
----------------------------------------------------------------------------
-ValueError                                Traceback (most recent call last)
-Input In [19], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:37, in <module>
-
-File <string>:44, in __init__(self, C, list_of_fcts, prec)
-
-ValueError: not enough values to unpack (expected 4, got 2)
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l\[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l\[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7l(AS.z[0]^2*AS.z[1]^3).valuation()[?7h[?12l[?25h[?25l[?7l3).valuation()[?7h[?12l[?25h[?25l[?7lAS.exponent_of_different_prim[?7h[?12l[?25h[?25l[?7lsage: AS.exponent_of_different_prim()

-[?7h[?12l[?25h[?2004l[?7h132
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.exponent_of_different_prim()[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lAS.exponent_of_different_prim()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.exponent_of_different_prim()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lmagical_element()[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lg[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lcal_element()[?7h[?12l[?25h[?25l[?7lsage: AS.magical_element()

-[?7h[?12l[?25h[?2004l[?7h[x^6*z0^2 - x^3*z0^3*z1^2 + z0^4*z1^4 - 2*x^6*z1 + 2*x^3*z0*z1^3]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.magical_element()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(AS.z[0]^2*AS.z[1]^3).valuation()[?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.z[0]^2*AS.z[1]^3).valuation()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l*AS.z[1]^3).valuation()[?7h[?12l[?25h[?25l[?7l3*AS.z[1]^3).valuation()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l).valuation()[?7h[?12l[?25h[?25l[?7l2).valuation()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: (AS.z[0]^3*AS.z[1]^2).valuation()

-[?7h[?12l[?25h[?2004l[?7h-105
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(AS.z[0]^3*AS.z[1]^2).valuation()[?7h[?12l[?25h[?25l[?7lAS.magical_element()[?7h[?12l[?25h[?25l[?7lexponent_of_different_prim()[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.magical_element()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.magical_element()[?7h[?12l[?25h[?25l[?7lsage: AS.magical_element()

-[?7h[?12l[?25h[?2004l[?7h[]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.magical_element()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7lt)[?7h[?12l[?25h[?25l[?7lh)[?7h[?12l[?25h[?25l[?7lr)[?7h[?12l[?25h[?25l[?7le)[?7h[?12l[?25h[?25l[?7ls)[?7h[?12l[?25h[?25l[?7lh)[?7h[?12l[?25h[?25l[?7lo)[?7h[?12l[?25h[?25l[?7ll)[?7h[?12l[?25h[?25l[?7ld)[?7h[?12l[?25h[?25l[?7l=)[?7h[?12l[?25h[?25l[?7l2)[?7h[?12l[?25h[?25l[?7l0)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7lsage: AS.magical_element(threshold=20)

-[?7h[?12l[?25h[?2004l[?7h[x^8 + x^6*z0*z1 + x^4*z0^2*z1^2 + x^2*z0^3*z1^3 + z0^4*z1^4]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.magical_element(threshold=20)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7l(AS.z[0]^3*AS.z[1]^2).valuation()[?7h[?12l[?25h[?25l[?7lAS.magical_element()[?7h[?12l[?25h[?25l[?7lexponent_of_different_prim()[?7h[?12l[?25h[?25l[?7lsage: AS.exponent_of_different_prim()

-[?7h[?12l[?25h[?2004l[?7h152
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.exponent_of_different_prim()[?7h[?12l[?25h[?25l[?7lmagical_element(threshold=20)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7l(AS.z[0]^3*AS.z[1]^2).valuation()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l).valuation()[?7h[?12l[?25h[?25l[?7l3).valuation()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7lsage: (AS.z[0]^3*AS.z[1]^3).valuation()

-[?7h[?12l[?25h[?2004l[?7h-150
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7load('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.exponent_of_different_prim()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lmagical_element(threshold=20)[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lgical_element(threshold=20)[?7h[?12l[?25h[?25l[?7lsage: AS.magical_element(threshold=20)

-[?7h[?12l[?25h[?2004l[?7h[x^8 + x^4*z0*z1 + z0^2*z1^2]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.magical_element(threshold=20)[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.magical_element(threshold=20)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l.magical_element(threshold=20)[?7h[?12l[?25h[?25l[?7lexponent_of_different_prim()[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lponent_of_different_prim()[?7h[?12l[?25h[?25l[?7lonent_of_different_prim()[?7h[?12l[?25h[?25l[?7lsage: AS.exponent_of_different_prim()

-[?7h[?12l[?25h[?2004l[?7h52
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.exponent_of_different_prim()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lz[0]^(p-1)*AS.z[1]^(p-1).valuation()[?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l0]^(p-1)*AS.z[1]^(p-1).valuation()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()).valuation()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(AS.z[0]^(p-1)*AS.z[1]^(p-1).valuation()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[]()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l(*AS.z[1]^(p-1).valuation()[?7h[?12l[?25h[?25l[?7l*AS.z[1]^(p-1).valuation()[?7h[?12l[?25h[?25l[?7l*AS.z[1]^(p-1).valuation()[?7h[?12l[?25h[?25l[?7l*AS.z[1]^(p-1).valuation()[?7h[?12l[?25h[?25l[?7l*AS.z[1]^(p-1).valuation()[?7h[?12l[?25h[?25l[?7l[]*AS.z[1]^(p-1).valuation()[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[]()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l(().valuation()[?7h[?12l[?25h[?25l[?7l).valuation()[?7h[?12l[?25h[?25l[?7l).valuation()[?7h[?12l[?25h[?25l[?7l).valuation()[?7h[?12l[?25h[?25l[?7l().valuation()[?7h[?12l[?25h[?25l[?7l).valuation()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: (AS.z[0]*AS.z[1]).valuation()

-[?7h[?12l[?25h[?2004l[?7h-36
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7l(AS.z[0]*AS.z[1]).valuation()[?7h[?12l[?25h[?25l[?7lAS.exponent_of_differen_prim()[?7h[?12l[?25h[?25l[?7lmagical_element(threshold=20)[?7h[?12l[?25h[?25l[?7lsage: AS.magical_element(threshold=20)

-[?7h[?12l[?25h[?2004l[?7h[x^6*z0 + x^5*z1 + z0^2*z1^2]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7load('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[
-RModule of dimension 2 over GF(2),
-RModule of dimension 2 over GF(2),
-RModule of dimension 2 over GF(2),
-RModule of dimension 2 over GF(2),
-RModule of dimension 3 over GF(2),
-RModule of dimension 3 over GF(2)
-]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[
-RModule of dimension 2 over GF(2),
-RModule of dimension 2 over GF(2),
-RModule of dimension 2 over GF(2),
-RModule of dimension 2 over GF(2),
-RModule of dimension 2 over GF(2),
-RModule of dimension 2 over GF(2),
-RModule of dimension 3 over GF(2),
-RModule of dimension 3 over GF(2)
-]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.magical_element(threshold=20)[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lholomorphic_differentias_basis()[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lmorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lsage: AS.holomorphic_differentials_basis()

-[?7h[?12l[?25h[?2004l[?7h[(1) * dx,
- (x^3*z0 + z1) * dx,
- (z0) * dx,
- (x) * dx,
- (x*z0) * dx,
- (x^2) * dx,
- (x^2*z0) * dx,
- (x^3) * dx,
- (x^4) * dx]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7lsage: AS

-[?7h[?12l[?25h[?2004l[?7h(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 2 with the equations:
-z0^2 - z0 = x^3
-z1^2 - z1 = x^9
-
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ sage
-┌────────────────────────────────────────────────────────────────────┐
-│ SageMath version 9.7, Release Date: 2022-09-19                     │
-│ Using Python 3.10.5. Type "help()" for help.                       │
-└────────────────────────────────────────────────────────────────────┘
-]0;IPython: DeRhamComputation/sage[?2004h[?1l[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lgenus()[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lus()[?7h[?12l[?25h[?25l[?7lsage: AS.genus()

-[?7h[?12l[?25h[?2004l[?7h3
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.genus()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lholomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7lomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lsage: AS.holomorphic_differentials_basis()

-[?7h[?12l[?25h[?2004l[?7h[(1) * dx, ((a + 1)*z0 + z1) * dx, (x) * dx]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lde_rham_basis()[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7l_rham_basis()[?7h[?12l[?25h[?25l[?7lsage: AS.de_rham_basis()

-[?7h[?12l[?25h[?2004l/ext/sage/9.7/src/sage/rings/polynomial/polynomial_singular_interface.py:372:
-********************************************************************************
-Denominators of fraction field elements are sometimes dropped without warning.
-This issue is being tracked at https://trac.sagemath.org/sage_trac/ticket/17696.
-********************************************************************************
-[?7h[( (1) * dx, 0 ),
- ( ((a + 1)*z0 + z1) * dx, 0 ),
- ( (x) * dx, 0 ),
- ( (0) * dx, z1/x ),
- ( (a*x*z0 + x*z1) * dx, z0*z1/x ),
- ( (a*z0 + z1) * dx, z0*z1/x^2 )]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ sage
-┌────────────────────────────────────────────────────────────────────┐
-│ SageMath version 9.7, Release Date: 2022-09-19                     │
-│ Using Python 3.10.5. Type "help()" for help.                       │
-└────────────────────────────────────────────────────────────────────┘
-]0;IPython: DeRhamComputation/sage[?2004h[?1l[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l1/(a+1)[?7h[?12l[?25h[?25l[?7l/[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l(+1)[?7h[?12l[?25h[?25l[?7lsage: 1/(a+1)

-[?7h[?12l[?25h[?2004l[?7ha
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l1/(a+1)[?7h[?12l[?25h[?25l[?7lsage: 1/(a+1)

-[?7h[?12l[?25h[?2004l[?7ha
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l1/(a+1)[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004lno  3 -th root; divide by a^2 + a + 1
----------------------------------------------------------------------------
-ValueError                                Traceback (most recent call last)
-Input In [4], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:14, in <module>
-
-File <string>:44, in __init__(self, C, list_of_fcts, prec)
-
-ValueError: not enough values to unpack (expected 4, got 2)
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.de_rham_basis()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lde_rham_basis()[?7h[?12l[?25h[?25l[?7lsage: AS.de_rham_basis()

-[?7h[?12l[?25h[?2004l/ext/sage/9.7/src/sage/rings/polynomial/polynomial_singular_interface.py:372:
-********************************************************************************
-Denominators of fraction field elements are sometimes dropped without warning.
-This issue is being tracked at https://trac.sagemath.org/sage_trac/ticket/17696.
-********************************************************************************
-[?7h[( (1) * dx, 0 ),
- ( ((a^2 + a)*z0 + z1) * dx, 0 ),
- ( (x) * dx, 0 ),
- ( (0) * dx, z1/x ),
- ( (a*x*z0 + x*z1) * dx, z0*z1/x ),
- ( (a*z0 + z1) * dx, z0*z1/x^2 )]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l1/(a+1)[?7h[?12l[?25h[?25l[?7l/[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l^3 + a^12 + a^11 + a^9 + a^8 + a^4 + a^3 + a)[?7h[?12l[?25h[?25l[?7l2[?7h[?12l[?25h[?25l[?7l+[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: 1/(a^2+a)

-[?7h[?12l[?25h[?2004l[?7ha + 1
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l^3[?7h[?12l[?25h[?25l[?7l2[?7h[?12l[?25h[?25l[?7lsage: a^2

-[?7h[?12l[?25h[?2004l[?7ha^2
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7la^2[?7h[?12l[?25h[?25l[?7l1/(a^2+a)[?7h[?12l[?25h[?25l[?7l()^[?7h[?12l[?25h[?25l[?7l2[?7h[?12l[?25h[?25l[?7lsage: 1/(a^2+a)^2

-[?7h[?12l[?25h[?2004l[?7ha^2 + 1
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l1/(a^2+a)^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(a^2+a)^2[?7h[?12l[?25h[?25l[?7l(a^2+a)^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: (a^2+a)^2

-[?7h[?12l[?25h[?2004l[?7ha
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.de_rham_basis()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.de_rham_basis()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7lsage: AS.dx

-[?7h[?12l[?25h[?2004l[?7h(1) * dx
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.dx[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7lty[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: AS.dx.expansion_at_infty()

-[?7h[?12l[?25h[?2004l[?7h(a + 1)*t^4 + a*t^16 + t^22 + a^2*t^52 + t^64 + (a^2 + 1)*t^70 + (a^2 + a + 1)*t^76 + (a + 1)*t^88 + a^2*t^94 + (a^2 + 1)*t^196 + (a^2 + a)*t^208 + (a + 1)*t^214 + (a^2 + a + 1)*t^244 + (a + 1)*t^256 + a^2*t^262 + a*t^268 + (a^2 + 1)*t^280 + (a^2 + a + 1)*t^286 + (a^2 + a)*t^292 + O(t^295)
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.dx.expansion_at_infty()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7lsage: AS

-[?7h[?12l[?25h[?2004l[?7h(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field in a of size 2^3 with the equations:
-z0^2 - z0 = x^3
-z1^2 - z1 = a*x^3
-
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.dx.expansion_at_infty()[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS[?7h[?12l[?25h[?25l[?7l.dx.expansion_at_infty()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lx.expansion_at_infty()[?7h[?12l[?25h[?25l[?7lsage: AS.x.expansion_at_infty()

-[?7h[?12l[?25h[?2004l[?7ha*t^-4 + t^2 + (a + 1)*t^5 + (a^2 + 1)*t^8 + a*t^17 + (a^2 + a)*t^20 + t^23 + t^44 + (a^2 + 1)*t^50 + a^2*t^53 + (a^2 + a + 1)*t^56 + t^65 + (a^2 + 1)*t^71 + a^2*t^74 + (a^2 + a + 1)*t^77 + a*t^80 + (a + 1)*t^89 + (a^2 + 1)*t^92 + a^2*t^95 + (a^2 + a)*t^188 + (a + 1)*t^194 + (a^2 + 1)*t^197 + a^2*t^200 + (a^2 + a)*t^209 + t^212 + (a + 1)*t^215 + (a + 1)*t^236 + a^2*t^242 + (a^2 + a + 1)*t^245 + a*t^248 + (a + 1)*t^257 + a^2*t^263 + (a^2 + a + 1)*t^266 + a*t^269 + (a^2 + a)*t^272 + (a^2 + 1)*t^281 + (a^2 + a + 1)*t^287 + a*t^290 + (a^2 + a)*t^293 + O(t^296)
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.x.expansion_at_infty()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lexponet_fdifferent_prim()[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7lonent_of_different_prim()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: AS.exponent_of_differen()

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-AttributeError                            Traceback (most recent call last)
-Input In [15], in <cell line: 1>()
-----> 1 AS.exponent_of_differen()
-
-AttributeError: 'as_cover' object has no attribute 'exponent_of_differen'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.exponent_of_differen()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lt()[?7h[?12l[?25h[?25l[?7lsage: AS.exponent_of_different()

-[?7h[?12l[?25h[?2004l[?7h12
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.exponent_of_different()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lS.exponent_of_different()[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lz[0]^(p-1)*AS.z[1]^(p-1).valuation()[?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[].[?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lv[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: AS.z[0].valuation()

-[?7h[?12l[?25h[?2004l[?7h-6
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.z[0].valuation()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l].valuation()[?7h[?12l[?25h[?25l[?7l1].valuation()[?7h[?12l[?25h[?25l[?7lsage: AS.z[1].valuation()

-[?7h[?12l[?25h[?2004l[?7h-6
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-[?7h[?12l[?25h[?2004l[?7h((a*x^3 + z1)/x^2) * dx
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.z[1]/AS.x[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7lsage: AS

-[?7h[?12l[?25h[?2004l[?7h(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field in a of size 2^3 with the equations:
-z0^2 - z0 = x^3
-z1^2 - z1 = a*x^3
-
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS[?7h[?12l[?25h[?25l[?7l(AS.z[1]/AS.x).diffn()[?7h[?12l[?25h[?25l[?7lAS.z[1]/AS.x[?7h[?12l[?25h[?25l[?7l.valuation()[?7h[?12l[?25h[?25l[?7lx.expansion_at_infty()[?7h[?12l[?25h[?25l[?7l()aa[?7h[?12l[?25h[?25l[?7laa[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS[?7h[?12l[?25h[?25l[?7l.dx.expansion_at_infty()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l.expansion_at_infty()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.exponent_of_differen()[?7h[?12l[?25h[?25l[?7lt()[?7h[?12l[?25h[?25l[?7lz[0].valuation()[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l/AS.x[?7h[?12l[?25h[?25l[?7l(AS.z[1]/AS.x).diffn()[?7h[?12l[?25h[?25l[?7l().[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lv[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ltio[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: (AS.z[1]/AS.x).diffn().valuation()

-[?7h[?12l[?25h[?2004l[?7h0
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(AS.z[1]/AS.x).diffn().valuation()[?7h[?12l[?25h[?25l[?7lAS[?7h[?12l[?25h[?25l[?7l(AS.z[1]/AS.x).diffn().valuation()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l]/AS.x).difn([?7h[?12l[?25h[?25l[?7l0]/AS.x).difn([?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[]*/AS.x).difn([?7h[?12l[?25h[?25l[?7lA/AS.x).difn([?7h[?12l[?25h[?25l[?7lS/AS.x).difn([?7h[?12l[?25h[?25l[?7l./AS.x).difn([?7h[?12l[?25h[?25l[?7lz/AS.x).difn([?7h[?12l[?25h[?25l[?7l[/AS.x).difn([?7h[?12l[?25h[?25l[?7l1/AS.x).difn([?7h[?12l[?25h[?25l[?7l[]/AS.x).difn([?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l)([?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: (AS.z[0]*AS.z[1]/AS.x).diffn()

-[?7h[?12l[?25h[?2004l[?7h((a*x^3*z0 + x^3*z1 + z0*z1)/x^2) * dx
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(AS.z[0]*AS.z[1]/AS.x).diffn()[?7h[?12l[?25h[?25l[?7l1/x).diffn(valuation()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7lAS[?7h[?12l[?25h[?25l[?7l(AS.z[1]/AS.x).diffn().valuation()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l0*z[1]/AS.xdiffn()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(AS.x).difn()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()^.difn()[?7h[?12l[?25h[?25l[?7l2.difn()[?7h[?12l[?25h[?25l[?7l(2).difn()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: (AS.z[0]*AS.z[1]/(AS.x)^2).diffn()

-[?7h[?12l[?25h[?2004l[?7h(a*z0 + z1) * dx
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS[?7h[?12l[?25h[?25l[?7l, B = group_action_matrices_dR(AS); magmathis(A, B)[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7lB[?7h[?12l[?25h[?25l[?7l = group_action_matrices_dR(AS); magmathis(A, B)[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l(); magmathis(A, B)[?7h[?12l[?25h[?25l[?7lsage: A, B = group_action_matrices_dR(AS)

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA, B = group_action_matrices_dR(AS)[?7h[?12l[?25h[?25l[?7lsage: A

-[?7h[?12l[?25h[?2004l[?7h[      1 a^2 + a       0       0       0       a]
-[      0       1       0       0       0       0]
-[      0       0       1       0       a       0]
-[      0       0       0       1       1       0]
-[      0       0       0       0       1       0]
-[      0       0       0       0       0       1]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lenumerate(lll)[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7las[?7h[?12l[?25h[?25l[?7las_[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7lh[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l*[?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lz[?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[]/[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lAx)[?7h[?12l[?25h[?25l[?7lSx)[?7h[?12l[?25h[?25l[?7l.x)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(AS.z[1]/AS.x)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l()^[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l^)[?7h[?12l[?25h[?25l[?7l2)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: e1 = as_cech(AS, 0*AS.dx, (AS.z[1]/AS.x)^2)

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7le1 = as_cech(AS, 0*AS.dx, (AS.z[1]/AS.x)^2)[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7lsage: e1

-[?7h[?12l[?25h[?2004l[?7h( (0) * dx, z1^2/x^2 )
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7le1[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: e1.coordinates()

-[?7h[?12l[?25h[?2004l[?7h(a, 0, 0, 0, 0, 0)
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7le1.coordinates()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l = as_cech(AS, 0*AS.dx, (AS.z[1]/AS.x)^2)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l]/AS.x)^2)[?7h[?12l[?25h[?25l[?7l0]/AS.x)^2)[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[]*/AS.x)^2)[?7h[?12l[?25h[?25l[?7lA/AS.x)^2)[?7h[?12l[?25h[?25l[?7lS/AS.x)^2)[?7h[?12l[?25h[?25l[?7l./AS.x)^2)[?7h[?12l[?25h[?25l[?7lz/AS.x)^2)[?7h[?12l[?25h[?25l[?7lp/AS.x)^2)[?7h[?12l[?25h[?25l[?7l[/AS.x)^2)[?7h[?12l[?25h[?25l[?7l/AS.x)^2)[?7h[?12l[?25h[?25l[?7l/AS.x)^2)[?7h[?12l[?25h[?25l[?7l[/AS.x)^2)[?7h[?12l[?25h[?25l[?7l1/AS.x)^2)[?7h[?12l[?25h[?25l[?7l[]/AS.x)^2)[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: e1 = as_cech(AS, 0*AS.dx, (AS.z[0]*AS.z[1]/AS.x)^2)

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7le1 = as_cech(AS, 0*AS.dx, (AS.z[0]*AS.z[1]/AS.x)^2)[?7h[?12l[?25h[?25l[?7l.coordinates()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l = as_cech(AS, 0*AS.dx, (AS.z[1]/AS.x)^2)[?7h[?12l[?25h[?25l[?7lsage: e1 = as_cech(AS, 0*AS.dx, (AS.z[1]/AS.x)^2)

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7le1 = as_cech(AS, 0*AS.dx, (AS.z[1]/AS.x)^2)[?7h[?12l[?25h[?25l[?7l0*z[1]/AS.x)^2)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l = as_cech(AS, 0*AS.dx, (AS.z[0]*AS.z[1]/AS.x)^2)[?7h[?12l[?25h[?25l[?7l2 = as_cech(AS, 0*AS.dx, (AS.z[0]*AS.z[1]/AS.x)^2)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: e2 = as_cech(AS, 0*AS.dx, (AS.z[0]*AS.z[1]/AS.x)^2)

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7le2 = as_cech(AS, 0*AS.dx, (AS.z[0]*AS.z[1]/AS.x)^2)[?7h[?12l[?25h[?25l[?7l2[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7ldinates[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: e2.coordinates()

-[?7h[?12l[?25h[?2004l[?7h(0, 0, 0, 0, 0, 1)
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7le2.coordinates()[?7h[?12l[?25h[?25l[?7l3[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7las[?7h[?12l[?25h[?25l[?7las_[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7lh[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l*[?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7las[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7le2.coordinates()[?7h[?12l[?25h[?25l[?7l = as_cech(AS, 0*AS.dx, (AS.z[0]*AS.z[1]/AS.x)^2)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l^)^2)[?7h[?12l[?25h[?25l[?7l2)^2)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l = as_cech(AS, 0*AS.dx, (AS.z[0]*AS.z[1]/AS.x^2)^2)[?7h[?12l[?25h[?25l[?7l3 = as_cech(AS, 0*AS.dx, (AS.z[0]*AS.z[1]/AS.x^2)^2)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: e3 = as_cech(AS, 0*AS.dx, (AS.z[0]*AS.z[1]/AS.x^2)^2)

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7le3 = as_cech(AS, 0*AS.dx, (AS.z[0]*AS.z[1]/AS.x^2)^2)[?7h[?12l[?25h[?25l[?7l3[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: e3.coordinates()

-[?7h[?12l[?25h[?2004l[?7h(0, 0, 0, a^2 + a + 1, 0, 0)
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7la^2 + a + 1[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(a^2 + a + 1)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()^[?7h[?12l[?25h[?25l[?7l2[?7h[?12l[?25h[?25l[?7lsage: (a^2 + a + 1)^2

-[?7h[?12l[?25h[?2004l[?7ha + 1
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(a^2 + a + 1)^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l1(a^2 + a + 1)^2[?7h[?12l[?25h[?25l[?7l/(a^2 + a + 1)^2[?7h[?12l[?25h[?25l[?7lsage: 1/(a^2 + a + 1)^2

-[?7h[?12l[?25h[?2004l[?7ha^2 + a
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l1/(a^2 + a + 1)^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(a^2 + a + 1)^2[?7h[?12l[?25h[?25l[?7l(a^2 + a + 1)^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.z[1]/AS.x[?7h[?12l[?25h[?25l[?7ldx.expansion_at_infty()[?7h[?12l[?25h[?25l[?7le_rham_basis()[?7h[?12l[?25h[?25l[?7l_rham_basis()[?7h[?12l[?25h[?25l[?7lsage: AS.de_rham_basis()

-[?7h[?12l[?25h[?2004l[?7h[( (1) * dx, 0 ),
- ( ((a^2 + a)*z0 + z1) * dx, 0 ),
- ( (x) * dx, 0 ),
- ( (0) * dx, z1/x ),
- ( (a*x*z0 + x*z1) * dx, z0*z1/x ),
- ( (a*z0 + z1) * dx, z0*z1/x^2 )]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lmatrix(v0).transpose()[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lgmathis(A, B, text=True)[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7lathis(A, B, text=True)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7lTru)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l )[?7h[?12l[?25h[?25l[?7lp)[?7h[?12l[?25h[?25l[?7lr)[?7h[?12l[?25h[?25l[?7le)[?7h[?12l[?25h[?25l[?7lf)[?7h[?12l[?25h[?25l[?7li)[?7h[?12l[?25h[?25l[?7lx)[?7h[?12l[?25h[?25l[?7l=)[?7h[?12l[?25h[?25l[?7l")[?7h[?12l[?25h[?25l[?7l")[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lG")[?7h[?12l[?25h[?25l[?7lF")[?7h[?12l[?25h[?25l[?7l")[?7h[?12l[?25h[?25l[?7l")[?7h[?12l[?25h[?25l[?7lF")[?7h[?12l[?25h[?25l[?7l,")[?7h[?12l[?25h[?25l[?7la")[?7h[?12l[?25h[?25l[?7l.")[?7h[?12l[?25h[?25l[?7l")[?7h[?12l[?25h[?25l[?7l")[?7h[?12l[?25h[?25l[?7l")[?7h[?12l[?25h[?25l[?7l<")[?7h[?12l[?25h[?25l[?7la")[?7h[?12l[?25h[?25l[?7l>?")[?7h[?12l[?25h[?25l[?7l")[?7h[?12l[?25h[?25l[?7l ")[?7h[?12l[?25h[?25l[?7l:")[?7h[?12l[?25h[?25l[?7l=")[?7h[?12l[?25h[?25l[?7l ")[?7h[?12l[?25h[?25l[?7lG")[?7h[?12l[?25h[?25l[?7lF")[?7h[?12l[?25h[?25l[?7l(")[?7h[?12l[?25h[?25l[?7l4")[?7h[?12l[?25h[?25l[?7l()")[?7h[?12l[?25h[?25l[?7l();")[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: magmathis(A, B, prefix="F<a> := GF(4);")

-[?7h[?12l[?25h[?2004l[?7h>> F<a> := GF(4);A := MatrixAlgebra<GF(8),6|[1, a^2 + a, 0, 0, 0, a, 0, 1, 0,
-                                   ^
-Runtime error in MatrixAlgebra< ... >: Rhs argument 1 is invalid for this constructor
->> RModule(RSpace(GF(8),6), A);IndecomposableSummands(M);
-                            ^
-User error: Identifier 'A' has not been declared or assigned
->> RModule(RSpace(GF(8),6), A);IndecomposableSummands(M);
-                                                      ^
-User error: Identifier 'M' has not been declared or assigned
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.de_rham_basis()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7lsage: AS

-[?7h[?12l[?25h[?2004l[?7h(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field in a of size 2^3 with the equations:
-z0^2 - z0 = x^3
-z1^2 - z1 = a*x^3
-
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS[?7h[?12l[?25h[?25l[?7lmagmathis(A, B, prefix="F<a> := GF(4);")[?7h[?12l[?25h[?25l[?7lAS.de_rham_basis()[?7h[?12l[?25h[?25l[?7lmagmathis(A, B, prefix="F<a> := GF(4);")[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l);")[?7h[?12l[?25h[?25l[?7l8);")[?7h[?12l[?25h[?25l[?7lsage: magmathis(A, B, prefix="F<a> := GF(8);")

-[?7h[?12l[?25h[?2004l[?7h[
-RModule of dimension 3 over GF(2^3),
-RModule of dimension 3 over GF(2^3)
-]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS[?7h[?12l[?25h[?25l[?7lsage: A

-[?7h[?12l[?25h[?2004l[?7h[      1 a^2 + a       0       0       0       a]
-[      0       1       0       0       0       0]
-[      0       0       1       0       a       0]
-[      0       0       0       1       1       0]
-[      0       0       0       0       1       0]
-[      0       0       0       0       0       1]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lB[?7h[?12l[?25h[?25l[?7lsage: B

-[?7h[?12l[?25h[?2004l[?7h[    1     1     0     0     0     1]
-[    0     1     0     0     0     0]
-[    0     0     1     0     1     0]
-[    0     0     0     1 a + 1     0]
-[    0     0     0     0     1     0]
-[    0     0     0     0     0     1]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lB[?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7lmagmathis(A, B, prefix="F<a> := GF(8);")[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l,)[?7h[?12l[?25h[?25l[?7l )[?7h[?12l[?25h[?25l[?7lt)[?7h[?12l[?25h[?25l[?7le)[?7h[?12l[?25h[?25l[?7lx)[?7h[?12l[?25h[?25l[?7lt=)[?7h[?12l[?25h[?25l[?7lT)[?7h[?12l[?25h[?25l[?7lr)[?7h[?12l[?25h[?25l[?7lu)[?7h[?12l[?25h[?25l[?7lTrue)[?7h[?12l[?25h[?25l[?7lsage: magmathis(A, B, prefix="F<a> := GF(8);", text=True)

-[?7h[?12l[?25h[?2004l[?7h'F<a> := GF(8);A := MatrixAlgebra<GF(8),6|[1, a^2 + a, 0, 0, 0, a, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, a, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1],[1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, a + 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1]>;M := RModule(RSpace(GF(8),6), A);IndecomposableSummands(M);'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7l1 = matrix(ZZ, [[1, 3], [3, 4]])[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lB[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7l, B = group_action_matrices_dR(AS)[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7lB[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7l= group_action_matrices_dR(AS)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l1, B = group_action_matrices_dR(AS)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l1 = group_action_matrices_dR(AS)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(AS)[?7h[?12l[?25h[?25l[?7l(AS)[?7h[?12l[?25h[?25l[?7lh(AS)[?7h[?12l[?25h[?25l[?7lo(AS)[?7h[?12l[?25h[?25l[?7ll(AS)[?7h[?12l[?25h[?25l[?7lo(AS)[?7h[?12l[?25h[?25l[?7lsage: A1, B1 = group_action_matrices_holo(AS)

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA1, B1 = group_action_matrices_holo(AS)[?7h[?12l[?25h[?25l[?7lmagmathis(A, B, prefix="F<a> := GF(8);", text=True)[?7h[?12l[?25h[?25l[?7lsage: magmathis(A, B, prefix="F<a> := GF(8);", text=True)

-[?7h[?12l[?25h[?2004l[?7h'F<a> := GF(8);A := MatrixAlgebra<GF(8),6|[1, a^2 + a, 0, 0, 0, a, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, a, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1],[1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, a + 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1]>;M := RModule(RSpace(GF(8),6), A);IndecomposableSummands(M);'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lmagmathis(A, B, prefix="F<a> := GF(8);", text=True)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7lTru)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7lsage: magmathis(A, B, prefix="F<a> := GF(8);")

-[?7h[?12l[?25h[?2004l[?7h[
-RModule of dimension 3 over GF(2^3),
-RModule of dimension 3 over GF(2^3)
-]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lmagmathis(A, B, prefix="F<a> := GF(8);")[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l1, B, prefix="F<a> := GF(8);")[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l1, prefix="F<a> := GF(8);")[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: magmathis(A1, B1, prefix="F<a> := GF(8);")

-[?7h[?12l[?25h[?2004l[?7h[
-RModule of dimension 1 over GF(2^3),
-RModule of dimension 2 over GF(2^3)
-]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lmagmathis(A1, B1, prefix="F<a> := GF(8);")[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l,)[?7h[?12l[?25h[?25l[?7l )[?7h[?12l[?25h[?25l[?7lt)[?7h[?12l[?25h[?25l[?7le)[?7h[?12l[?25h[?25l[?7lxt)[?7h[?12l[?25h[?25l[?7l-)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l=)[?7h[?12l[?25h[?25l[?7lT)[?7h[?12l[?25h[?25l[?7lr)[?7h[?12l[?25h[?25l[?7lu)[?7h[?12l[?25h[?25l[?7lTrue)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7lsage: magmathis(A1, B1, prefix="F<a> := GF(8);", text=True)

-[?7h[?12l[?25h[?2004l[?7h'F<a> := GF(8);A := MatrixAlgebra<GF(8),3|[1, a^2 + a, 0, 0, 1, 0, 0, 0, 1],[1, 1, 0, 0, 1, 0, 0, 0, 1]>;M := RModule(RSpace(GF(8),3), A);IndecomposableSummands(M);'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lmagmathis(A1, B1, prefix="F<a> := GF(8);", text=True)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l, B, prefix="F<a> := GF(8);")[?7h[?12l[?25h[?25l[?7l, text=True)[?7h[?12l[?25h[?25l[?7lA1, B1 = group_action_matrices_holo(AS)[?7h[?12l[?25h[?25l[?7lsage: A1, B1 = group_action_matrices_holo(AS)

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA1, B1 = group_action_matrices_holo(AS)[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lmagmathis(A1, B1, prefix="F<a> := GF(8);", text=True)[?7h[?12l[?25h[?25l[?7lsage: magmathis(A1, B1, prefix="F<a> := GF(8);", text=True)

-[?7h[?12l[?25h[?2004l[?7h'F<a> := GF(8);A := MatrixAlgebra<GF(8),3|[1, a^2 + a + 1, 0, 0, 1, 0, 0, 0, 1],[1, 1, 0, 0, 1, 0, 0, 0, 1]>;M := RModule(RSpace(GF(8),3), A);IndecomposableSummands(M);'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lmagmathis(A1, B1, prefix="F<a> := GF(8);", text=True)[?7h[?12l[?25h[?25l[?7lA1, B1 = group_action_matrices_holo(AS)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(AS)[?7h[?12l[?25h[?25l[?7l(AS)[?7h[?12l[?25h[?25l[?7l(AS)[?7h[?12l[?25h[?25l[?7l(AS)[?7h[?12l[?25h[?25l[?7ld(AS)[?7h[?12l[?25h[?25l[?7lR(AS)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: A1, B1 = group_action_matrices_dR(AS)

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA1, B1 = group_action_matrices_dR(AS)[?7h[?12l[?25h[?25l[?7lmagmathis(A1, B1, prefix="F<a> := GF(8);", text=True)[?7h[?12l[?25h[?25l[?7lsage: magmathis(A1, B1, prefix="F<a> := GF(8);", text=True)

-[?7h[?12l[?25h[?2004l[?7h'F<a> := GF(8);A := MatrixAlgebra<GF(8),6|[1, a^2 + a + 1, 0, 0, 0, a + 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, a + 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1],[1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, a^2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1]>;M := RModule(RSpace(GF(8),6), A);IndecomposableSummands(M);'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lmagmathis(A1, B1, prefix="F<a> := GF(8);", text=True)[?7h[?12l[?25h[?25l[?7lA1, B1 = group_action_matrices_dR(AS)[?7h[?12l[?25h[?25l[?7lsage: A1, B1 = group_action_matrices_dR(AS)

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lmagmathis(A1, B1, prefix="F<a> := GF(8);", text=True)[?7h[?12l[?25h[?25l[?7lsage: magmathis(A1, B1, prefix="F<a> := GF(8);", text=True)

-[?7h[?12l[?25h[?2004l[?7h'F<a> := GF(8);A := MatrixAlgebra<GF(8),6|[1, a^2 + a, 0, 0, 0, a, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, a, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1],[1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, a + 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1]>;M := RModule(RSpace(GF(8),6), A);IndecomposableSummands(M);'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lmagmathis(A1, B1, prefix="F<a> := GF(8);", text=True)[?7h[?12l[?25h[?25l[?7lA1, B1 = group_action_matrices_dR(AS)[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lA1, B1 = group_action_matrices_dR(AS)[?7h[?12l[?25h[?25l[?7lmagmathis(A1, B1, prefix="F<a> := GF(8);", text=True)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lmagmathis(A1, B1, prefix="F<a> := GF(8);", text=True)[?7h[?12l[?25h[?25l[?7lA1, B1 = group_action_matrices_dR(AS)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(AS)[?7h[?12l[?25h[?25l[?7l(AS)[?7h[?12l[?25h[?25l[?7lh(AS)[?7h[?12l[?25h[?25l[?7lo(AS)[?7h[?12l[?25h[?25l[?7ll(AS)[?7h[?12l[?25h[?25l[?7lo(AS)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: A1, B1 = group_action_matrices_holo(AS)

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA1, B1 = group_action_matrices_holo(AS)[?7h[?12l[?25h[?25l[?7lmagmathis(A1, B1, prefix="F<a> := GF(8);", text=True)[?7h[?12l[?25h[?25l[?7lsage: magmathis(A1, B1, prefix="F<a> := GF(8);", text=True)

-[?7h[?12l[?25h[?2004l[?7h'F<a> := GF(8);A := MatrixAlgebra<GF(8),3|[1, a^2 + a, 0, 0, 1, 0, 0, 0, 1],[1, 1, 0, 0, 1, 0, 0, 0, 1]>;M := RModule(RSpace(GF(8),3), A);IndecomposableSummands(M);'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lmagmathis(A1, B1, prefix="F<a> := GF(8);", text=True)[?7h[?12l[?25h[?25l[?7lA1, B1 = group_action_matrices_holo(AS)[?7h[?12l[?25h[?25l[?7lsage: A1, B1 = group_action_matrices_holo(AS)

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA1, B1 = group_action_matrices_holo(AS)[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lmagmathis(A1, B1, prefix="F<a> := GF(8);", text=True)[?7h[?12l[?25h[?25l[?7lsage: magmathis(A1, B1, prefix="F<a> := GF(8);", text=True)

-[?7h[?12l[?25h[?2004l[?7h'F<a> := GF(8);A := MatrixAlgebra<GF(8),3|[1, a^2 + a + 1, 0, 0, 1, 0, 0, 0, 1],[1, 1, 0, 0, 1, 0, 0, 0, 1]>;M := RModule(RSpace(GF(8),3), A);IndecomposableSummands(M);'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7load('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA1, B1 = group_action_matrices_holo(AS)[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.de_rham_basis()[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7l_rham_basis()[?7h[?12l[?25h[?25l[?7lsage: AS.de_rham_basis()

-[?7h[?12l[?25h[?2004l[?7h[( (1) * dx, 0 ),
- ( ((a^2 + a)*z0 + z1) * dx, 0 ),
- ( (x) * dx, 0 ),
- ( (0) * dx, z1/x ),
- ( (a*x*z0 + x*z1) * dx, z0*z1/x ),
- ( (a*z0 + z1) * dx, z0*z1/x^2 )]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7le3.coordinates()[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l6[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7lrham_basis[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[[?7h[?12l[?25h[?25l[?7l5[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7lsage: eta6 = AS.de_rham_basis()[5]

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7leta6 = AS.de_rham_basis()[5][?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l6[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lg[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l().[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l*[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: eta6.group_action([1, 0]).coordinates()

-[?7h[?12l[?25h[?2004l[?7h(a, 0, 0, 0, 0, 1)
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7leta6.group_action([1, 0]).coordinates()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l, 0]).cordinates()[?7h[?12l[?25h[?25l[?7l0, 0]).cordinates()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l]).cordinates()[?7h[?12l[?25h[?25l[?7l1]).cordinates()[?7h[?12l[?25h[?25l[?7lsage: eta6.group_action([0, 1]).coordinates()

-[?7h[?12l[?25h[?2004l[?7h(1, 0, 0, 0, 0, 1)
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ sage
-┌────────────────────────────────────────────────────────────────────┐
-│ SageMath version 9.7, Release Date: 2022-09-19                     │
-│ Using Python 3.10.5. Type "help()" for help.                       │
-└────────────────────────────────────────────────────────────────────┘
-]0;IPython: DeRhamComputation/sage[?2004h[?1l[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[
-RModule M of dimension 2 over GF(2^2)
-]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004lF<a> := GF(4);A := MatrixAlgebra<GF(4),2|[1, 1, 0, 1],[1, a, 0, 1]>;M := RModule(RSpace(GF(4),2), A);IndecomposableSummands(M);
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004lF<a> := GF(4);A := MatrixAlgebra<GF(4),2|[1, 0, 1, 1],[1, 0, a, 1]>;M := RModule(RSpace(GF(4),2), A);IndecomposableSummands(M);
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l/ext/sage/9.7/src/sage/rings/polynomial/polynomial_singular_interface.py:372:
-********************************************************************************
-Denominators of fraction field elements are sometimes dropped without warning.
-This issue is being tracked at https://trac.sagemath.org/sage_trac/ticket/17696.
-********************************************************************************
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.de_rham_basis()[?7h[?12l[?25h[?25l[?7l, B = group_action_matrices_dR(AS)[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7lB[?7h[?12l[?25h[?25l[?7l = group_action_matrices_dR(AS)[?7h[?12l[?25h[?25l[?7l(); magmathis(A, B)[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7lagmathis(A, B)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l,)[?7h[?12l[?25h[?25l[?7l )[?7h[?12l[?25h[?25l[?7lp)[?7h[?12l[?25h[?25l[?7lr)[?7h[?12l[?25h[?25l[?7le)[?7h[?12l[?25h[?25l[?7lf)[?7h[?12l[?25h[?25l[?7li)[?7h[?12l[?25h[?25l[?7lx)[?7h[?12l[?25h[?25l[?7l=)[?7h[?12l[?25h[?25l[?7l")[?7h[?12l[?25h[?25l[?7l")[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lF")[?7h[?12l[?25h[?25l[?7l<")[?7h[?12l[?25h[?25l[?7l>")[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7la>")[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l:")[?7h[?12l[?25h[?25l[?7l=")[?7h[?12l[?25h[?25l[?7lG")[?7h[?12l[?25h[?25l[?7lF")[?7h[?12l[?25h[?25l[?7l(")[?7h[?12l[?25h[?25l[?7l4")[?7h[?12l[?25h[?25l[?7l()")[?7h[?12l[?25h[?25l[?7l();")[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l);")[?7h[?12l[?25h[?25l[?7l8);")[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7let6.group_action([0, 1]).coordinates()[?7h[?12l[?25h[?25l[?7llod('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004lF<a> := GF(8);A := MatrixAlgebra<GF(8),3|[1, a^2 + a, 0, 0, 1, 0, 0, 0, 1],[1, 1, 0, 0, 1, 0, 0, 0, 1]>;M := RModule(RSpace(GF(8),3), A);IndecomposableSummands(M);
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7la^2[?7h[?12l[?25h[?25l[?7lsage: a

-[?7h[?12l[?25h[?2004l[?7ha
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7lq[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: a.square_root()

-[?7h[?12l[?25h[?2004l[?7ha^2 + a
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(a^2 + a + 1)^2[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l^[?7h[?12l[?25h[?25l[?7l2[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l+a)^2[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l)^2[?7h[?12l[?25h[?25l[?7lsage: (a^2+a)^2

-[?7h[?12l[?25h[?2004l[?7ha
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004lF<a> := GF(8);A := MatrixAlgebra<GF(8),3|[1, a^2 + a, 0, 0, 1, 0, 0, 0, 1],[1, 1, 0, 0, 1, 0, 0, 0, 1]>;M := RModule(RSpace(GF(8),3), A);IndecomposableSummands(M);
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004lF<a> := GF(8);A := MatrixAlgebra<GF(8),3|[1, a^2 + a, 0, 0, 1, 0, 0, 0, 1],[1, 1, 0, 0, 1, 0, 0, 0, 1]>;M := RModule(RSpace(GF(8),3), A);IndecomposableSummands(M);
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004lF<a> := GF(8);A := MatrixAlgebra<GF(8),3|[1, a^2 + a, 0, 0, 1, 0, 0, 0, 1],[1, 1, 0, 0, 1, 0, 0, 0, 1]>;M := RModule(RSpace(GF(8),3), A);IndecomposableSummands(M);
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004lF<a> := GF(4);A := MatrixAlgebra<GF(8),2|[1, 1, 0, 1],[1, a, 0, 1]>;M := RModule(RSpace(GF(8),2), A);IndecomposableSummands(M);
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004lF<a> := GF(4);A := MatrixAlgebra<GF(8),2|[1, 0, 1, 1],[1, 0, a^2 + 1, 1]>;M := RModule(RSpace(GF(8),2), A);IndecomposableSummands(M);
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ sage
-┌────────────────────────────────────────────────────────────────────┐
-│ SageMath version 9.7, Release Date: 2022-09-19                     │
-│ Using Python 3.10.5. Type "help()" for help.                       │
-└────────────────────────────────────────────────────────────────────┘
-]0;IPython: DeRhamComputation/sage[?2004h[?1l[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004lF<a> := GF(8);A := MatrixAlgebra<GF(8),2|[1, 1, 0, 1],[1, a^2 + 1, 0, 1]>;M := RModule(RSpace(GF(8),2), A);IndecomposableSummands(M);
-F<a> := GF(8);A := MatrixAlgebra<GF(8),2|[1, 0, 1, 1],[1, 0, a^2 + 1, 1]>;M := RModule(RSpace(GF(8),2), A);IndecomposableSummands(M);
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004lF<a> := GF(8);A := MatrixAlgebra<GF(8),2|[1, 1, 0, 1],[1, a, 0, 1]>;M := RModule(RSpace(GF(8),2), A);IndecomposableSummands(M);
-F<a> := GF(8);A := MatrixAlgebra<GF(8),2|[1, 0, 1, 1],[1, 0, a, 1]>;M := RModule(RSpace(GF(8),2), A);IndecomposableSummands(M);
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7load('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l/ext/sage/9.7/src/sage/rings/polynomial/polynomial_singular_interface.py:372:
-********************************************************************************
-Denominators of fraction field elements are sometimes dropped without warning.
-This issue is being tracked at https://trac.sagemath.org/sage_trac/ticket/17696.
-********************************************************************************
-F<a> := GF(8);A := MatrixAlgebra<GF(8),3|[1, a^2 + a, 0, 0, 1, 0, 0, 0, 1],[1, 1, 0, 0, 1, 0, 0, 0, 1]>;M := RModule(RSpace(GF(8),3), A);IndecomposableSummands(M);
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l{
-[  1]
-}
-{
-[  1 a^4]
-[  0   1],
-[  1   1]
-[  0   1]
-}
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ sage
-┌────────────────────────────────────────────────────────────────────┐
-│ SageMath version 9.7, Release Date: 2022-09-19                     │
-│ Using Python 3.10.5. Type "help()" for help.                       │
-└────────────────────────────────────────────────────────────────────┘
-]0;IPython: DeRhamComputation/sage[?2004h[?1l[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l/ext/sage/9.7/src/sage/rings/polynomial/polynomial_singular_interface.py:372:
-********************************************************************************
-Denominators of fraction field elements are sometimes dropped without warning.
-This issue is being tracked at https://trac.sagemath.org/sage_trac/ticket/17696.
-********************************************************************************
-{
-[  1]
-}
-{
-[  1 a^4]
-[  0   1],
-[  1   1]
-[  0   1]
-}
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l{
-[1]
-}
-{
-[1 0 1 0]
-[0 1 0 0]
-[0 0 1 0]
-[0 1 0 1],
-[1 1 0 0]
-[0 1 0 0]
-[0 0 1 0]
-[0 0 0 1]
-}
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[
-RModule of dimension 1 over GF(2),
-RModule of dimension 4 over GF(2)
-]
-{
-[1]
-}
-{
-[1 0 1 0]
-[0 1 0 0]
-[0 0 1 0]
-[0 1 0 1],
-[1 1 0 0]
-[0 1 0 0]
-[0 0 1 0]
-[0 0 0 1]
-}
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[
-RModule of dimension 2 over GF(2),
-RModule of dimension 2 over GF(2),
-RModule of dimension 3 over GF(2),
-RModule of dimension 3 over GF(2)
-]
-{
-[1 1]
-[0 1],
-[1 0]
-[0 1]
-}
-{
-[1 0]
-[1 1],
-[1 0]
-[0 1]
-}
-{
-[1 1 0]
-[0 1 0]
-[0 0 1],
-[1 1 1]
-[0 1 0]
-[0 0 1]
-}
-{
-[1 0 1]
-[0 1 0]
-[0 0 1],
-[1 0 1]
-[0 1 1]
-[0 0 1]
-}
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004lno  7 -th root; divide by a
----------------------------------------------------------------------------
-ValueError                                Traceback (most recent call last)
-Input In [5], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:15, in <module>
-
-File <string>:44, in __init__(self, C, list_of_fcts, prec)
-
-ValueError: not enough values to unpack (expected 4, got 2)
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004lno  7 -th root; divide by a + 1
----------------------------------------------------------------------------
-ValueError                                Traceback (most recent call last)
-Input In [6], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:15, in <module>
-
-File <string>:44, in __init__(self, C, list_of_fcts, prec)
-
-ValueError: not enough values to unpack (expected 4, got 2)
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004lno  7 -th root; divide by a + 1
----------------------------------------------------------------------------
-ValueError                                Traceback (most recent call last)
-Input In [7], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:15, in <module>
-
-File <string>:44, in __init__(self, C, list_of_fcts, prec)
-
-ValueError: not enough values to unpack (expected 4, got 2)
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004lno  7 -th root; divide by a + 1
----------------------------------------------------------------------------
-ValueError                                Traceback (most recent call last)
-Input In [8], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:15, in <module>
-
-File <string>:44, in __init__(self, C, list_of_fcts, prec)
-
-ValueError: not enough values to unpack (expected 4, got 2)
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004lno  7 -th root; divide by a^2
----------------------------------------------------------------------------
-ValueError                                Traceback (most recent call last)
-Input In [9], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:15, in <module>
-
-File <string>:44, in __init__(self, C, list_of_fcts, prec)
-
-ValueError: not enough values to unpack (expected 4, got 2)
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004lno  7 -th root; divide by a^2 + a
----------------------------------------------------------------------------
-ValueError                                Traceback (most recent call last)
-Input In [10], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:15, in <module>
-
-File <string>:44, in __init__(self, C, list_of_fcts, prec)
-
-ValueError: not enough values to unpack (expected 4, got 2)
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[
-RModule of dimension 2 over GF(2^3),
-RModule of dimension 2 over GF(2^3),
-RModule of dimension 2 over GF(2^3),
-RModule of dimension 2 over GF(2^3),
-RModule of dimension 3 over GF(2^3),
-RModule of dimension 3 over GF(2^3)
-]
-{
-[  1   0]
-[a^2   1],
-[  1   0]
-[  0   1]
-}
-{
-[  1   0]
-[a^6   1],
-[  1   0]
-[  0   1]
-}
-{
-[  1   0]
-[a^2   1],
-[  1   0]
-[  0   1]
-}
-{
-[  1   0]
-[a^6   1],
-[  1   0]
-[  0   1]
-}
-{
-[  1 a^2   1]
-[  0   1   0]
-[  0   0   1],
-[  1   1   0]
-[  0   1   0]
-[  0   0   1]
-}
-{
-[  1   0 a^5]
-[  0   1 a^6]
-[  0   0   1],
-[  1   0 a^4]
-[  0   1 a^4]
-[  0   0   1]
-}
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7la.square_root()[?7h[?12l[?25h[?25l[?7lsage: a

-[?7h[?12l[?25h[?2004l[?7ha
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lmagmathis(A1, B1, prefix="F<a> := GF(8);", text=True)[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lmin[?7h[?12l[?25h[?25l[?7lmini[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7ly[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: minimal_polynomial(a)

-[?7h[?12l[?25h[?2004l[?7hx^3 + x + 1
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lminimal_polynomial(a)[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7l(a^2+a)^2[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[
-RModule of dimension 2 over GF(2^4),
-RModule of dimension 2 over GF(2^4),
-RModule of dimension 2 over GF(2^4),
-RModule of dimension 2 over GF(2^4),
-RModule of dimension 3 over GF(2^4),
-RModule of dimension 3 over GF(2^4)
-]
-{
-[   1    0]
-[   0    1],
-[   1    0]
-[   a    1]
-}
-{
-[   1    0]
-[   0    1],
-[   1    0]
-[   1    1]
-}
-{
-[   1  a^2]
-[   0    1],
-[   1    0]
-[   0    1]
-}
-{
-[   1    0]
-[a^14    1],
-[   1    0]
-[   0    1]
-}
-{
-[   1    1    0]
-[   0    1    0]
-[   0    0    1],
-[   1  a^5    1]
-[   0    1    0]
-[   0    0    1]
-}
-{
-[   1    0 a^12]
-[   0    1    0]
-[   0    0    1],
-[   1    0    a]
-[   0    1 a^14]
-[   0    0    1]
-}
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.de_rham_basis()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7ljumps[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7lsage: AS.jumps

-[?7h[?12l[?25h[?2004l[?7h[[3, 11]]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.jumps[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lraification_jumps()[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lmification_jumps()[?7h[?12l[?25h[?25l[?7lsage: AS.ramification_jumps()

-[?7h[?12l[?25h[?2004l[?7h[3, 11]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l>> F<a> := GF(16);A := MatrixAlgebra<GF(8),12|[1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0
-                                    ^
-Runtime error in MatrixAlgebra< ... >: Rhs argument 1 is invalid for this constructor
->> ;M := RModule(RSpace(GF(8),12), A);L := IndecomposableSummands(M); L;for i
-                                   ^
-User error: Identifier 'A' has not been declared or assigned
->> ;M := RModule(RSpace(GF(8),12), A);L := IndecomposableSummands(M); L;for i
-                                                                  ^
-User error: Identifier 'M' has not been declared or assigned
->> ;M := RModule(RSpace(GF(8),12), A);L := IndecomposableSummands(M); L;for i
-                                                                      ^
-User error: Identifier 'L' has not been declared or assigned
->> ummands(M); L;for i in [1 .. #L] do print(Generators(Action(L[i]))); end fo
-                                 ^
-User error: Identifier 'L' has not been declared or assigned
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[
-RModule of dimension 3 over GF(2^3),
-RModule of dimension 3 over GF(2^3),
-RModule of dimension 3 over GF(2^3),
-RModule of dimension 3 over GF(2^3)
-]
-{
-[  1   0 a^5]
-[  0   1 a^4]
-[  0   0   1],
-[  1   0 a^3]
-[  0   1 a^5]
-[  0   0   1]
-}
-{
-[  1   0 a^3]
-[  0   1 a^2]
-[  0   0   1],
-[  1   0   1]
-[  0   1   a]
-[  0   0   1]
-}
-{
-[  1   0   1]
-[  0   1   0]
-[  0   0   1],
-[  1   1   0]
-[  0   1   0]
-[  0   0   1]
-}
-{
-[  1   0   1]
-[  0   1   0]
-[  0   0   1],
-[  1   1   0]
-[  0   1   0]
-[  0   0   1]
-}
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.ramification_jumps()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7lsage: AS

-[?7h[?12l[?25h[?2004l[?7h(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field in a of size 2^3 with the equations:
-z0^2 - z0 = x^5
-z1^2 - z1 = a*x^5 + x^3
-
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.ramification_jumps()[?7h[?12l[?25h[?25l[?7lgenus()[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lus()[?7h[?12l[?25h[?25l[?7lsage: AS.genus()

-[?7h[?12l[?25h[?2004l[?7h6
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.genus()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.genus()[?7h[?12l[?25h[?25l[?7l, B = group_action_matrices_dR(AS)[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7lB = group_action_matrices_dR(AS)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(AS)[?7h[?12l[?25h[?25l[?7l(AS)[?7h[?12l[?25h[?25l[?7l(AS)[?7h[?12l[?25h[?25l[?7l_(AS)[?7h[?12l[?25h[?25l[?7lh(AS)[?7h[?12l[?25h[?25l[?7lo(AS)[?7h[?12l[?25h[?25l[?7ll(AS)[?7h[?12l[?25h[?25l[?7lo(AS)[?7h[?12l[?25h[?25l[?7lsage: A, B = group_action_matrices_holo(AS)

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lminimal_polynomial(a)[?7h[?12l[?25h[?25l[?7lagmathis(A1, B1, prefix="F<a> := GF(8);", text=True)[?7h[?12l[?25h[?25l[?7lg[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7lathis(A1, B1, prefix="F<a> := GF(8);", text=True)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lTru)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l(()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l, B)[?7h[?12l[?25h[?25l[?7l, B)[?7h[?12l[?25h[?25l[?7lA, B)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: magmathis(A, B)

-[?7h[?12l[?25h[?2004l[?7h>> 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, a^2 + a, 0, 0, 0, 0, 0, 1, 0, 0, 0,
-                                          ^
-User error: Identifier 'a' has not been declared or assigned
->>  0, 0, 1, 0, 0, 0, 0, 0, 0, 1]>;M := RModule(RSpace(GF(8),6), A);L := Indec
-                                                                 ^
-User error: Identifier 'A' has not been declared or assigned
->> 8),6), A);L := IndecomposableSummands(M); L;for i in [1 .. #L] do print(Gen
-                                         ^
-User error: Identifier 'M' has not been declared or assigned
->> 8),6), A);L := IndecomposableSummands(M); L;for i in [1 .. #L] do print(Gen
-                                             ^
-User error: Identifier 'L' has not been declared or assigned
->> 8),6), A);L := IndecomposableSummands(M); L;for i in [1 .. #L] do print(Gen
-                                                               ^
-User error: Identifier 'L' has not been declared or assigned
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA, B = group_action_matrices_holo(AS)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: A

-[?7h[?12l[?25h[?2004l[?7h[      1       0       1       0       0       0]
-[      0       1       0       0       0       0]
-[      0       0       1       0       0       0]
-[      0       0       0       1 a^2 + a       0]
-[      0       0       0       0       1       0]
-[      0       0       0       0       0       1]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lparent(A).base_ring().order()[?7h[?12l[?25h[?25l[?7lsage: parent(A).base_ring().order()

-[?7h[?12l[?25h[?2004l[?7h8
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l^C---------------------------------------------------------------------------
-AttributeError                            Traceback (most recent call last)
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_zz_pex.pyx:280, in sage.rings.polynomial.polynomial_zz_pex.Polynomial_ZZ_pEX.__call__()
-    279 try:
---> 280     if a.parent() is not K:
-    281         a = K.coerce(a)
-
-AttributeError: 'tuple' object has no attribute 'parent'
-
-During handling of the above exception, another exception occurred:
-
-KeyboardInterrupt                         Traceback (most recent call last)
-Input In [25], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:15, in <module>
-
-File <string>:44, in __init__(self, C, list_of_fcts, prec)
-
-File <string>:134, in artin_schreier_transform(power_series, prec)
-
-File <string>:12, in new_reverse(power_series, prec)
-
-File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:1831, in sage.rings.laurent_series_ring_element.LaurentSeries.__call__()
-   1829 if x:
-   1830     raise ValueError("must not specify %s keyword and positional argument" % name)
--> 1831 a = self(kwds[name])
-   1832 del kwds[name]
-   1833 try:
-
-File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:1852, in sage.rings.laurent_series_ring_element.LaurentSeries.__call__()
-   1850         x = x[0]
-   1851 
--> 1852     return self.__u(*x)*(x[0]**self.__n)
-   1853 
-   1854 def __pari__(self):
-
-File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:365, in sage.rings.power_series_poly.PowerSeries_poly.__call__()
-    363         x[0] = a
-    364         x = tuple(x)
---> 365     return self.__f(x)
-    366 
-    367 def _unsafe_mutate(self, i, value):
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_zz_pex.pyx:283, in sage.rings.polynomial.polynomial_zz_pex.Polynomial_ZZ_pEX.__call__()
-    281         a = K.coerce(a)
-    282 except (TypeError, AttributeError, NotImplementedError):
---> 283     return Polynomial.__call__(self, a)
-    284 
-    285 _a = self._parent._modulus.ZZ_pE(list(a.polynomial()))
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_element.pyx:898, in sage.rings.polynomial.polynomial_element.Polynomial.__call__()
-    896             return result
-    897         pol._compiled = CompiledPolynomialFunction(pol.list())
---> 898     return pol._compiled.eval(a)
-    899 
-    900 def compose_trunc(self, Polynomial other, long n):
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:125, in sage.rings.polynomial.polynomial_compiled.CompiledPolynomialFunction.eval()
-    123 cdef object temp
-    124 try:
---> 125     pd_eval(self._dag, x, self._coeffs)  #see further down
-    126     temp = self._dag.value               #for an explanation
-    127     pd_clean(self._dag)                  #of these 3 lines
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:353, in sage.rings.polynomial.polynomial_compiled.pd_eval()
-    351 cdef inline int pd_eval(generic_pd pd, object vars, object coeffs) except -2:
-    352     if pd.value is None:
---> 353         pd.eval(vars, coeffs)
-    354     pd.hits += 1
-    355 
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:507, in sage.rings.polynomial.polynomial_compiled.abc_pd.eval()
-    505 
-    506     cdef int eval(abc_pd self, object vars, object coeffs) except -2:
---> 507         pd_eval(self.left, vars, coeffs)
-    508         pd_eval(self.right, vars, coeffs)
-    509         self.value = self.left.value * self.right.value + coeffs[self.index]
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:353, in sage.rings.polynomial.polynomial_compiled.pd_eval()
-    351 cdef inline int pd_eval(generic_pd pd, object vars, object coeffs) except -2:
-    352     if pd.value is None:
---> 353         pd.eval(vars, coeffs)
-    354     pd.hits += 1
-    355 
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:507, in sage.rings.polynomial.polynomial_compiled.abc_pd.eval()
-    505 
-    506     cdef int eval(abc_pd self, object vars, object coeffs) except -2:
---> 507         pd_eval(self.left, vars, coeffs)
-    508         pd_eval(self.right, vars, coeffs)
-    509         self.value = self.left.value * self.right.value + coeffs[self.index]
-
-    [... skipping similar frames: sage.rings.polynomial.polynomial_compiled.pd_eval at line 353 (47 times), sage.rings.polynomial.polynomial_compiled.abc_pd.eval at line 507 (46 times)]
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:507, in sage.rings.polynomial.polynomial_compiled.abc_pd.eval()
-    505 
-    506     cdef int eval(abc_pd self, object vars, object coeffs) except -2:
---> 507         pd_eval(self.left, vars, coeffs)
-    508         pd_eval(self.right, vars, coeffs)
-    509         self.value = self.left.value * self.right.value + coeffs[self.index]
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:353, in sage.rings.polynomial.polynomial_compiled.pd_eval()
-    351 cdef inline int pd_eval(generic_pd pd, object vars, object coeffs) except -2:
-    352     if pd.value is None:
---> 353         pd.eval(vars, coeffs)
-    354     pd.hits += 1
-    355 
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:509, in sage.rings.polynomial.polynomial_compiled.abc_pd.eval()
-    507 pd_eval(self.left, vars, coeffs)
-    508 pd_eval(self.right, vars, coeffs)
---> 509 self.value = self.left.value * self.right.value + coeffs[self.index]
-    510 pd_clean(self.left)
-    511 pd_clean(self.right)
-
-File /ext/sage/9.7/src/sage/structure/element.pyx:1514, in sage.structure.element.Element.__mul__()
-   1512 cdef int cl = classify_elements(left, right)
-   1513 if HAVE_SAME_PARENT(cl):
--> 1514     return (<Element>left)._mul_(right)
-   1515 if BOTH_ARE_ELEMENT(cl):
-   1516     return coercion_model.bin_op(left, right, mul)
-
-File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:913, in sage.rings.laurent_series_ring_element.LaurentSeries._mul_()
-    911 cdef LaurentSeries right = <LaurentSeries>right_r
-    912 return type(self)(self._parent,
---> 913                   self.__u * right.__u,
-    914                   self.__n + right.__n)
-    915 
-
-File /ext/sage/9.7/src/sage/structure/element.pyx:1514, in sage.structure.element.Element.__mul__()
-   1512 cdef int cl = classify_elements(left, right)
-   1513 if HAVE_SAME_PARENT(cl):
--> 1514     return (<Element>left)._mul_(right)
-   1515 if BOTH_ARE_ELEMENT(cl):
-   1516     return coercion_model.bin_op(left, right, mul)
-
-File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:540, in sage.rings.power_series_poly.PowerSeries_poly._mul_()
-    538 """
-    539 prec = self._mul_prec(right_r)
---> 540 return PowerSeries_poly(self._parent,
-    541                         self.__f * (<PowerSeries_poly>right_r).__f,
-    542                         prec=prec,
-
-File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:44, in sage.rings.power_series_poly.PowerSeries_poly.__init__()
-     42     ValueError: series has negative valuation
-     43 """
----> 44 R = parent._poly_ring()
-     45 if isinstance(f, Element):
-     46     if (<Element>f)._parent is R:
-
-File /ext/sage/9.7/src/sage/rings/power_series_ring.py:961, in PowerSeriesRing_generic._poly_ring(self)
-    958         pass
-    959     return False
---> 961 def _poly_ring(self):
-    962     """
-    963     Return the underlying polynomial ring used to represent elements of
-    964     this power series ring.
-   (...)
-    970         Univariate Polynomial Ring in t over Integer Ring
-    971     """
-    972     return self.__poly_ring
-
-File src/cysignals/signals.pyx:310, in cysignals.signals.python_check_interrupt()
-
-KeyboardInterrupt: 
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lparent(A).base_ring().order()[?7h[?12l[?25h[?25l[?7lmgmahis(A, B)[?7h[?12l[?25h[?25l[?7lA, B = group_action_matrices_holo(AS)[?7h[?12l[?25h[?25l[?7lS.genus()[?7h[?12l[?25h[?25l[?7l, B = group_action_matrices_holo(AS)[?7h[?12l[?25h[?25l[?7lsage: A, B = group_action_matrices_holo(AS)

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA, B = group_action_matrices_holo(AS)[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lparent(A).base_ring().order()[?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7lmagmathis(A, B)[?7h[?12l[?25h[?25l[?7lsage: magmathis(A, B)

-[?7h[?12l[?25h[?2004l[?7h[
-RModule of dimension 1 over GF(2^3),
-RModule of dimension 2 over GF(2^3),
-RModule of dimension 3 over GF(2^3)
-]
-{
-[  1]
-}
-{
-[  1 a^4]
-[  0   1],
-[  1   1]
-[  0   1]
-}
-{
-[  1   0   1]
-[  0   1   0]
-[  0   0   1],
-[  1   1   0]
-[  0   1   0]
-[  0   0   1]
-}
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l12.factor()[1][0][?7h[?12l[?25h[?25l[?7l/(a^2 + a + 1)^2[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lsage: 1/a

-[?7h[?12l[?25h[?2004l[?7ha^2 + 1
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l^2[?7h[?12l[?25h[?25l[?7l4[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l8[?7h[?12l[?25h[?25l[?7lsage: a^8

-[?7h[?12l[?25h[?2004l[?7ha
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ losage
-┌────────────────────────────────────────────────────────────────────┐
-│ SageMath version 9.7, Release Date: 2022-09-19                     │
-│ Using Python 3.10.5. Type "help()" for help.                       │
-└────────────────────────────────────────────────────────────────────┘
-]0;IPython: DeRhamComputation/sage[?2004h[?1l[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(x-x^3)^2 - x^2[?7h[?12l[?25h[?25l[?7l(x-x^3) + (-x^3)^3)^2-x^2[?7h[?12l[?25h[?25l[?7lR.<x> = PolynomialRing(QQ)[?7h[?12l[?25h[?25l[?7l((x-x^3) + (x-x^3)^3)^2-x^2[?7h[?12l[?25h[?25l[?7lx-x^3)^2 - ^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[((1/y) dx, 0, (1/y) dx), ((x/y) dx, 2/x*y, ((-1)/(x*y)) dx)]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ sage
-┌────────────────────────────────────────────────────────────────────┐
-│ SageMath version 9.7, Release Date: 2022-09-19                     │
-│ Using Python 3.10.5. Type "help()" for help.                       │
-└────────────────────────────────────────────────────────────────────┘
-]0;IPython: DeRhamComputation/sage[?2004h[?1l[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lf.derivative()[?7h[?12l[?25h[?25l[?7lpatil_fraction_decomposition()[?7h[?12l[?25h[?25l[?7l = (x^2 + 1)/(x^2*(x^3 - x))[?7h[?12l[?25h[?25l[?7lsage: F.<x> = PolynomialRing(GF(3))

-....: FF = FractionField(F)[?7h[?12l[?25h[?25l[?7lf = (x^2 + 1)/(x^2*(x^3 - x)

- [?7h[?12l[?25h[?25l[?7l.partial_fraction_decomposition()[?7h[?12l[?25h[?25l[?7ldeivtive()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[((1/y) dx, 0, (1/y) dx), ((x/y) dx, 2/x*y, ((-1)/(x*y)) dx)]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lf.derivative()[?7h[?12l[?25h[?25l[?7l = (x^2 + 1)/(x^2*(x^3 - x))[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7ly[?7h[?12l[?25h[?25l[?7lsage: f = C.y

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-NameError                                 Traceback (most recent call last)
-Input In [2], in <cell line: 1>()
-----> 1 f = C.y
-
-NameError: name 'C' is not defined
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7lsage: C_super

-[?7h[?12l[?25h[?2004l[?7hSuperelliptic curve with the equation y^2 = x^3 + 2*x over Finite Field of size 3
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC_super[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7lsage: C_super.x

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-AttributeError                            Traceback (most recent call last)
-Input In [4], in <cell line: 1>()
-----> 1 C_super.x
-
-AttributeError: 'superelliptic' object has no attribute 'x'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC_super.x[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[((1/y) dx, 0, (1/y) dx), ((x/y) dx, 2/x*y, ((-1)/(x*y)) dx)]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC_super.x[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7lsage: C_super.x

-[?7h[?12l[?25h[?2004l[?7hx
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lx, y, z0, z1 = Rxyz.gens()[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC_super.x[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lxC_super.x[?7h[?12l[?25h[?25l[?7lxC_super.x[?7h[?12l[?25h[?25l[?7l,C_super.x[?7h[?12l[?25h[?25l[?7l C_super.x[?7h[?12l[?25h[?25l[?7lyC_super.x[?7h[?12l[?25h[?25l[?7lyC_super.x[?7h[?12l[?25h[?25l[?7l C_super.x[?7h[?12l[?25h[?25l[?7l=C_super.x[?7h[?12l[?25h[?25l[?7l C_super.x[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7ly[?7h[?12l[?25h[?25l[?7ly[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l, C.super.y[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l = C_super.x, C.super.y[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l, y = C_super.x, C.super.y[?7h[?12l[?25h[?25l[?7lsage: x, y = C_super.x, C.super.y

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-NameError                                 Traceback (most recent call last)
-Input In [7], in <cell line: 1>()
-----> 1 x, y = C_super.x, C.super.y
-
-NameError: name 'C' is not defined
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lx, y = C_super.x, C.super.y[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsuper.y[?7h[?12l[?25h[?25l[?7l_super.y[?7h[?12l[?25h[?25l[?7lsage: x, y = C_super.x, C_super.y

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lf = C.y[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lf = C.y[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7ly[?7h[?12l[?25h[?25l[?7l+[?7h[?12l[?25h[?25l[?7ly[?7h[?12l[?25h[?25l[?7l/[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l^[?7h[?12l[?25h[?25l[?7l2[?7h[?12l[?25h[?25l[?7lsage: f = y+y/x^2

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lf = y+y/x^2[?7h[?12l[?25h[?25l[?7l.derivative()[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7liscrimnant()[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lerivative()[?7h[?12l[?25h[?25l[?7lrivative()[?7h[?12l[?25h[?25l[?7lsage: f.derivative()

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-AttributeError                            Traceback (most recent call last)
-Input In [10], in <cell line: 1>()
-----> 1 f.derivative()
-
-AttributeError: 'superelliptic_function' object has no attribute 'derivative'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ld = f.degree()[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: diffn(f)

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-NameError                                 Traceback (most recent call last)
-Input In [11], in <cell line: 1>()
-----> 1 diffn(f)
-
-NameError: name 'diffn' is not defined
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ldiffn(f)[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lf.derivative()[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7liscrimnant()[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: f.diffn()

-[?7h[?12l[?25h[?2004l[?7h((-1)/y) dx
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lf.diffn()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7ldiffn(f)[?7h[?12l[?25h[?25l[?7lf.derivative()[?7h[?12l[?25h[?25l[?7l = y+y/x^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ly/x^2[?7h[?12l[?25h[?25l[?7l-y/x^2[?7h[?12l[?25h[?25l[?7lsage: f = y-y/x^2

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lf = y-y/x^2[?7h[?12l[?25h[?25l[?7l.diffn()[?7h[?12l[?25h[?25l[?7lsage: f.diffn()

-[?7h[?12l[?25h[?2004l[?7h0 dx
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lf.diffn()[?7h[?12l[?25h[?25l[?7l = y-y/x^2[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7ly[?7h[?12l[?25h[?25l[?7l*[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l^[?7h[?12l[?25h[?25l[?7l3[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l+[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l2[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l*x[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l+[?7h[?12l[?25h[?25l[?7l2[?7h[?12l[?25h[?25l[?7l/[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l^[?7h[?12l[?25h[?25l[?7l3[?7h[?12l[?25h[?25l[?7l+[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l/[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l^[?7h[?12l[?25h[?25l[?7l5[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: f = y*(x^3 + 2*x+2/x^3+1/x^5)

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [15], in <cell line: 1>()
-----> 1 f = y*(x**Integer(3) + Integer(2)*x+Integer(2)/x**Integer(3)+Integer(1)/x**Integer(5))
-
-File /ext/sage/9.7/src/sage/rings/integer.pyx:1964, in sage.rings.integer.Integer.__mul__()
-   1962         return y
-   1963 
--> 1964     return coercion_model.bin_op(left, right, operator.mul)
-   1965 
-   1966 cpdef _mul_(self, right):
-
-File /ext/sage/9.7/src/sage/structure/coerce.pyx:1248, in sage.structure.coerce.CoercionModel.bin_op()
-   1246     # We should really include the underlying error.
-   1247     # This causes so much headache.
--> 1248     raise bin_op_exception(op, x, y)
-   1249 
-   1250 cpdef canonical_coercion(self, x, y):
-
-TypeError: unsupported operand parent(s) for *: 'Integer Ring' and '<class '__main__.superelliptic_function'>'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lf = y*(x^3 + 2*x+2/x^3+1/x^5)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: f = y*(x^3 + 2*x+2/x^3+1/x^5)

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [16], in <cell line: 1>()
-----> 1 f = y*(x**Integer(3) + Integer(2)*x+Integer(2)/x**Integer(3)+Integer(1)/x**Integer(5))
-
-File /ext/sage/9.7/src/sage/rings/integer.pyx:1964, in sage.rings.integer.Integer.__mul__()
-   1962         return y
-   1963 
--> 1964     return coercion_model.bin_op(left, right, operator.mul)
-   1965 
-   1966 cpdef _mul_(self, right):
-
-File /ext/sage/9.7/src/sage/structure/coerce.pyx:1248, in sage.structure.coerce.CoercionModel.bin_op()
-   1246     # We should really include the underlying error.
-   1247     # This causes so much headache.
--> 1248     raise bin_op_exception(op, x, y)
-   1249 
-   1250 cpdef canonical_coercion(self, x, y):
-
-TypeError: unsupported operand parent(s) for *: 'Integer Ring' and '<class '__main__.superelliptic_function'>'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[((1/y) dx, 0, (1/y) dx), ((x/y) dx, 2/x*y, ((-1)/(x*y)) dx)]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lf = y*(x^3 + 2*x+2/x^3+1/x^5)[?7h[?12l[?25h[?25l[?7l.diffn()[?7h[?12l[?25h[?25l[?7l = y-y/x^2[?7h[?12l[?25h[?25l[?7l.diffn()[?7h[?12l[?25h[?25l[?7ldiffn(f)[?7h[?12l[?25h[?25l[?7lf.derivative()[?7h[?12l[?25h[?25l[?7l = y+y/x^2[?7h[?12l[?25h[?25l[?7lx, y = C_super.x, C_super.y[?7h[?12l[?25h[?25l[?7lsage: x, y = C_super.x, C_super.y

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lx, y = C_super.x, C_super.y[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lf = y*(x^3 + 2*x+2/x^3+1/x^5)[?7h[?12l[?25h[?25l[?7lsage: f = y*(x^3 + 2*x+2/x^3+1/x^5)

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-AttributeError                            Traceback (most recent call last)
-Input In [19], in <cell line: 1>()
-----> 1 f = y*(x**Integer(3) + Integer(2)*x+Integer(2)/x**Integer(3)+Integer(1)/x**Integer(5))
-
-File /ext/sage/9.7/src/sage/rings/integer.pyx:1964, in sage.rings.integer.Integer.__mul__()
-   1962         return y
-   1963 
--> 1964     return coercion_model.bin_op(left, right, operator.mul)
-   1965 
-   1966 cpdef _mul_(self, right):
-
-File /ext/sage/9.7/src/sage/structure/coerce.pyx:1242, in sage.structure.coerce.CoercionModel.bin_op()
-   1240 mul_method = getattr(y, '__r%s__'%op_name, None)
-   1241 if mul_method is not None:
--> 1242     res = mul_method(x)
-   1243     if res is not None and res is not NotImplemented:
-   1244         return res
-
-File <string>:53, in __rmul__(self, constant)
-
-File <string>:6, in __init__(self, C, g)
-
-AttributeError: 'superelliptic' object has no attribute 'height'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lf = y*(x^3 + 2*x+2/x^3+1/x^5)[?7h[?12l[?25h[?25l[?7lx, y = C_super., C_super.y[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[((1/y) dx, 0, (1/y) dx), ((x/y) dx, 2/x*y, ((-1)/(x*y)) dx)]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lf = y*(x^3 + 2*x+2/x^3+1/x^5)[?7h[?12l[?25h[?25l[?7lx, y = C_super., C_super.y[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lf = y*(x^3 + 2*x+2/x^3+1/x^5)[?7h[?12l[?25h[?25l[?7l.diffn()[?7h[?12l[?25h[?25l[?7l = y-y/x^2[?7h[?12l[?25h[?25l[?7l.diffn()[?7h[?12l[?25h[?25l[?7ldiffn(f)[?7h[?12l[?25h[?25l[?7lf.derivative()[?7h[?12l[?25h[?25l[?7l = y+y/x^2[?7h[?12l[?25h[?25l[?7lx, y = C_super.x, C_super.y[?7h[?12l[?25h[?25l[?7lsage: x, y = C_super.x, C_super.y

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lf = y*(x^3 + 2*x+2/x^3+1/x^5)[?7h[?12l[?25h[?25l[?7lsage: f = y*(x^3 + 2*x+2/x^3+1/x^5)

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [22], in <cell line: 1>()
-----> 1 f = y*(x**Integer(3) + Integer(2)*x+Integer(2)/x**Integer(3)+Integer(1)/x**Integer(5))
-
-File /ext/sage/9.7/src/sage/rings/integer.pyx:2037, in sage.rings.integer.Integer.__truediv__()
-   2035         return y
-   2036 
--> 2037     return coercion_model.bin_op(left, right, operator.truediv)
-   2038 
-   2039 cpdef _div_(self, right):
-
-File /ext/sage/9.7/src/sage/structure/coerce.pyx:1248, in sage.structure.coerce.CoercionModel.bin_op()
-   1246     # We should really include the underlying error.
-   1247     # This causes so much headache.
--> 1248     raise bin_op_exception(op, x, y)
-   1249 
-   1250 cpdef canonical_coercion(self, x, y):
-
-TypeError: unsupported operand parent(s) for /: 'Integer Ring' and '<class '__main__.superelliptic_function'>'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lf = y*(x^3 + 2*x+2/x^3+1/x^5)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lf = y*(x^3 + 2*x+2/x^3+1/x^5)[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsuperelliptic_function(C, g)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l_, g)[?7h[?12l[?25h[?25l[?7ls, g)[?7h[?12l[?25h[?25l[?7lu, g)[?7h[?12l[?25h[?25l[?7lp, g)[?7h[?12l[?25h[?25l[?7le, g)[?7h[?12l[?25h[?25l[?7lr, g)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l1)[?7h[?12l[?25h[?25l[?7lsage: f1 = superelliptic_function(C_super, 1)

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lf1 = superelliptic_function(C_super, 1)[?7h[?12l[?25h[?25l[?7l = y*(x^3 + 2*x+2/x^3+1/x^5)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lf1/x^5)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lf2/x^3+f1/x^5)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lx^3+f1/x^5)[?7h[?12l[?25h[?25l[?7lx^3+f1/x^5)[?7h[?12l[?25h[?25l[?7l1x^3+f1/x^5)[?7h[?12l[?25h[?25l[?7l/x^3+f1/x^5)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l2f1/x^3+f1/x^5)[?7h[?12l[?25h[?25l[?7l*f1/x^3+f1/x^5)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: f = y*(x^3 + 2*x+2*f1/x^3+f1/x^5)

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lf = y*(x^3 + 2*x+2*f1/x^3+f1/x^5)[?7h[?12l[?25h[?25l[?7l.diffn()[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: f.diffn()

-[?7h[?12l[?25h[?2004l[?7h0 dx
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lf.diffn()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l = y*(x^3 + 2*x+2*f1/x^3+f1/x^5)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7lsage: f = y*(x^3 + 2*x)

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lf = y*(x^3 + 2*x)[?7h[?12l[?25h[?25l[?7l.diffn()[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: f.diffn()

-[?7h[?12l[?25h[?2004l[?7h0 dx
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ly[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC_super.x[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7lrham_basis[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: C_super.de_rham_basis()

-[?7h[?12l[?25h[?2004lsage/rings/polynomial/polynomial_zmod_flint.pyx:7: DeprecationWarning: invalid escape sequence '\Z'
-  """
-sage/rings/polynomial/polynomial_zmod_flint.pyx:7: DeprecationWarning: invalid escape sequence '\Z'
-  """
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [28], in <cell line: 1>()
-----> 1 C_super.de_rham_basis()
-
-File <string>:94, in de_rham_basis(self)
-
-File <string>:86, in basis_de_rham_degrees(self)
-
-File <string>:150, in cut(f, i)
-
-File /ext/sage/9.7/src/sage/misc/functional.py:585, in symbolic_sum(expression, *args, **kwds)
-    583     return expression.sum(*args, **kwds)
-    584 elif max(len(args),len(kwds)) <= 1:
---> 585     return sum(expression, *args, **kwds)
-    586 else:
-    587     from sage.symbolic.ring import SR
-
-File <string>:150, in <genexpr>(.0)
-
-File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
-    895 if mor is not None:
-    896     if no_extra_args:
---> 897         return mor._call_(x)
-    898     else:
-    899         return mor._call_with_args(x, args, kwds)
-
-File /ext/sage/9.7/src/sage/structure/coerce_maps.pyx:161, in sage.structure.coerce_maps.DefaultConvertMap_unique._call_()
-    159             print(type(C), C)
-    160             print(type(C._element_constructor), C._element_constructor)
---> 161         raise
-    162 
-    163 cpdef Element _call_with_args(self, x, args=(), kwds={}):
-
-File /ext/sage/9.7/src/sage/structure/coerce_maps.pyx:156, in sage.structure.coerce_maps.DefaultConvertMap_unique._call_()
-    154 cdef Parent C = self._codomain
-    155 try:
---> 156     return C._element_constructor(x)
-    157 except Exception:
-    158     if print_warnings:
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_ring.py:469, in PolynomialRing_general._element_constructor_(self, x, check, is_gen, construct, **kwds)
-    467 elif isinstance(x, sage.rings.power_series_ring_element.PowerSeries):
-    468     x = x.truncate()
---> 469 return C(self, x, check, is_gen, construct=construct, **kwds)
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_zmod_flint.pyx:129, in sage.rings.polynomial.polynomial_zmod_flint.Polynomial_zmod_flint.__init__()
-    127         except AttributeError:
-    128             pass
---> 129     Polynomial_template.__init__(self, parent, x, check, is_gen, construct)
-    130 
-    131 cdef Polynomial_template _new(self):
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_template.pxi:176, in sage.rings.polynomial.polynomial_zmod_flint.Polynomial_template.__init__()
-    174     self.__class__.__init__(self, parent, x, check=check, is_gen=is_gen, construct=construct)
-    175 else:
---> 176     x = parent.base_ring()(x)
-    177     self.__class__.__init__(self, parent, x, check=check, is_gen=is_gen, construct=construct)
-    178 
-
-File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
-    895 if mor is not None:
-    896     if no_extra_args:
---> 897         return mor._call_(x)
-    898     else:
-    899         return mor._call_with_args(x, args, kwds)
-
-File /ext/sage/9.7/src/sage/structure/coerce_maps.pyx:161, in sage.structure.coerce_maps.DefaultConvertMap_unique._call_()
-    159             print(type(C), C)
-    160             print(type(C._element_constructor), C._element_constructor)
---> 161         raise
-    162 
-    163 cpdef Element _call_with_args(self, x, args=(), kwds={}):
-
-File /ext/sage/9.7/src/sage/structure/coerce_maps.pyx:156, in sage.structure.coerce_maps.DefaultConvertMap_unique._call_()
-    154 cdef Parent C = self._codomain
-    155 try:
---> 156     return C._element_constructor(x)
-    157 except Exception:
-    158     if print_warnings:
-
-File /ext/sage/9.7/src/sage/rings/finite_rings/integer_mod_ring.py:1185, in IntegerModRing_generic._element_constructor_(self, x)
-   1143 """
-   1144 TESTS::
-   1145 
-   (...)
-   1182     True
-   1183 """
-   1184 try:
--> 1185     return integer_mod.IntegerMod(self, x)
-   1186 except (NotImplementedError, PariError):
-   1187     raise TypeError("error coercing to finite field")
-
-File /ext/sage/9.7/src/sage/rings/finite_rings/integer_mod.pyx:201, in sage.rings.finite_rings.integer_mod.IntegerMod()
-    199         return a
-    200 t = modulus.element_class()
---> 201 return t(parent, value)
-    202 
-    203 
-
-File /ext/sage/9.7/src/sage/rings/finite_rings/integer_mod.pyx:391, in sage.rings.finite_rings.integer_mod.IntegerMod_abstract.__init__()
-    389             z = value % self.__modulus.sageInteger
-    390         else:
---> 391             raise
-    392 self.set_from_mpz(z.value)
-    393 
-
-File /ext/sage/9.7/src/sage/rings/finite_rings/integer_mod.pyx:380, in sage.rings.finite_rings.integer_mod.IntegerMod_abstract.__init__()
-    378 else:
-    379     try:
---> 380         z = integer_ring.Z(value)
-    381     except (TypeError, ValueError):
-    382         from sage.structure.element import Expression
-
-File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
-    895 if mor is not None:
-    896     if no_extra_args:
---> 897         return mor._call_(x)
-    898     else:
-    899         return mor._call_with_args(x, args, kwds)
-
-File /ext/sage/9.7/src/sage/structure/coerce_maps.pyx:161, in sage.structure.coerce_maps.DefaultConvertMap_unique._call_()
-    159             print(type(C), C)
-    160             print(type(C._element_constructor), C._element_constructor)
---> 161         raise
-    162 
-    163 cpdef Element _call_with_args(self, x, args=(), kwds={}):
-
-File /ext/sage/9.7/src/sage/structure/coerce_maps.pyx:156, in sage.structure.coerce_maps.DefaultConvertMap_unique._call_()
-    154 cdef Parent C = self._codomain
-    155 try:
---> 156     return C._element_constructor(x)
-    157 except Exception:
-    158     if print_warnings:
-
-File /ext/sage/9.7/src/sage/rings/integer.pyx:717, in sage.rings.integer.Integer.__init__()
-    715                 return
-    716 
---> 717             raise TypeError("unable to coerce %s to an integer" % type(x))
-    718 
-    719 def __reduce__(self):
-
-TypeError: unable to coerce <class '__main__.superelliptic_function'> to an integer
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[((1/y) dx, 0, (1/y) dx), ((x/y) dx, 2/x*y, ((-1)/(x*y)) dx)]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lC_super.de_rham_basis()[?7h[?12l[?25h[?25l[?7lsage: C_super.de_rham_basis()

-[?7h[?12l[?25h[?2004l[?7h[((1/y) dx, 0, (1/y) dx), ((x/y) dx, 2/x*y, ((-1)/(x*y)) dx)]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ sage
-┌────────────────────────────────────────────────────────────────────┐
-│ SageMath version 9.7, Release Date: 2022-09-19                     │
-│ Using Python 3.10.5. Type "help()" for help.                       │
-└────────────────────────────────────────────────────────────────────┘
-]0;IPython: DeRhamComputation/sage[?2004h[?1l[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lff.discriminant()%8[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7llista += [[e, f, g]][?7h[?12l[?25h[?25l[?7load('init.sage')[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-AttributeError                            Traceback (most recent call last)
-Input In [1], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:10, in <module>
-
-AttributeError: 'superelliptic' object has no attribute 'holo_basis'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC_super.de_rham_basis()[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7l.de_rham_basis()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: C_super.

-  C_super.a_number                               C_super.cartier_matrix                         C_super.degrees_de_rham1                        

-  C_super.base_ring                              C_super.characteristic                         C_super.degrees_holomorphic_differentials       

-  C_super.basis_de_rham_degrees                  C_super.de_rham_basis                          C_super.exponent                               >

-  C_super.basis_holomorphic_differentials_degree C_super.degrees_de_rham0                       C_super.final_type                              

- [?7h[?12l[?25h[?25l[?7la_number

- C_super.a_number                              

-

-

-

- <unknown> [?7h[?12l[?25h[?25l[?7lcartier_matrix

- C_super.a_number                               C_super.cartier_matrix                        [?7h[?12l[?25h[?25l[?7ldegresde_ham1

- C_super.cartier_matrix                         C_super.degrees_de_rham1                      [?7h[?12l[?25h[?25l[?7lfrobnius_matrix

- cartier_matrixdegresde_ham1frobnius_matrix

- characteristicdegees_holomorphic_differentialsgnus                            

-<de_rham_basis        exponent     holmorphic_differentials_basis

- degrees_de_rham0                      final_typ      is_smooth [?7h[?12l[?25h[?25l[?7lpolynomial

-degresde_ham1frobnius_matrixpolynomial       

-degees_holomorphic_differentialsgnus                            vrschiebung_matrix 

-exponent     holmorphic_differentials_basisx                               

-final_typ      is_smooth y         [?7h[?12l[?25h[?25l[?7lfrobenius_matrix

- C_super.frobenius_matrix                       C_super.polynomial                            [?7h[?12l[?25h[?25l[?7linal_type

- C_super.frobenius_matrix                      

-

-

- C_super.final_type                            [?7h[?12l[?25h[?25l[?7lrobenius_matrix

- C_super.frobenius_matrix                      

-

-

- C_super.final_type                            [?7h[?12l[?25h[?25l[?7lgenus

- C_super.frobenius_matrix                      

- C_super.genus                                 [?7h[?12l[?25h[?25l[?7lholomorphic_differentials_basis

-

- C_super.genus                                 

- C_super.holomorphic_differentials_basis       [?7h[?12l[?25h[?25l[?7l

-

-

-

-

-[?7h[?12l[?25h[?25l[?7lsage: C_super.holomorphic_differentials_basis

-[?7h[?12l[?25h[?2004l[?7h<bound method superelliptic.holomorphic_differentials_basis of Superelliptic curve with the equation y^2 = x^15 + x^13 + x^11 + 2*x^9 + 2*x^7 + 2*x^5 + 1 over Finite Field of size 3>
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lsage: 

-

- [?7h[?12l[?25h[?25l[?7lC_super.holomorphic_differentials_basis[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: C_super.holomorphic_differentials_basis()

-[?7h[?12l[?25h[?2004l[?7h[(1/y) dx,
- (x/y) dx,
- (x^2/y) dx,
- (x^3/y) dx,
- (x^4/y) dx,
- (x^5/y) dx,
- (x^6/y) dx]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC_super.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAC_super.holomorphic_diferentials_basis()[?7h[?12l[?25h[?25l[?7l C_super.holomorphic_diferentials_basis()[?7h[?12l[?25h[?25l[?7l=C_super.holomorphic_diferentials_basis()[?7h[?12l[?25h[?25l[?7l C_super.holomorphic_diferentials_basis()[?7h[?12l[?25h[?25l[?7lsage: A = C_super.holomorphic_differentials_basis()

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA = C_super.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7l[:, 2] = vector([1, 1, 1])[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7lsage: A[0]

-[?7h[?12l[?25h[?2004l[?7h(1/y) dx
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA[0][?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[].[?7h[?12l[?25h[?25l[?7lrun.term-0.term[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lrun.term-0.term[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lom, f = AS.de_rham_basis()[16][?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7l = AS.holomophic_differentials_basis()[5]; om.serre_duality_pairing(A)[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7lsage: om = A[0]

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lom = A[0][?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7l.serre_duality_pairing(A)[?7h[?12l[?25h[?25l[?7lsage: om.serre_duality_pairing(A)

- om.cartier              om.expansion_at_infty   om.is_regular_on_Uinfty

- om.coordinates          om.form                 om.jth_component       

- om.curve                om.is_regular_on_U0                            

-

- [?7h[?12l[?25h[?25l[?7lcartier

- om.cartier             

-

-

- <unknown> [?7h[?12l[?25h[?25l[?7lexpansion_at_infty

- om.cartier              om.expansion_at_infty  [?7h[?12l[?25h[?25l[?7lis_regular_on_Uinfty

- om.expansion_at_infty   om.is_regular_on_Uinfty[?7h[?12l[?25h[?25l[?7ljth_component

- om.is_regular_on_Uinfty

- om.jth_component       [?7h[?12l[?25h[?25l[?7lform

-

- om.form                 om.jth_component       [?7h[?12l[?25h[?25l[?7lis_regular_on_U0

-

- om.form                

- om.is_regular_on_U0    [?7h[?12l[?25h[?25l[?7lform

-

- om.form                

- om.is_regular_on_U0    [?7h[?12l[?25h[?25l[?7lexpansion_at_infty

- om.expansion_at_infty  

- om.form                [?7h[?12l[?25h[?25l[?7lcartier

- om.cartier              om.expansion_at_infty  [?7h[?12l[?25h[?25l[?7lexpansion_at_infty

- om.cartier              om.expansion_at_infty  [?7h[?12l[?25h[?25l[?7lform

- om.expansion_at_infty  

- om.form                [?7h[?12l[?25h[?25l[?7l

-

-

-

-[?7h[?12l[?25h[?25l[?7lsage: om.form

-[?7h[?12l[?25h[?2004l[?7h1/y
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lsage: 

-

-

- [?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004lTraceback (most recent call last):
-
-  File /ext/sage/9.7/local/var/lib/sage/venv-python3.10.5/lib/python3.10/site-packages/IPython/core/interactiveshell.py:3398 in run_code
-    exec(code_obj, self.user_global_ns, self.user_ns)
-
-  Input In [8] in <cell line: 1>
-    load('init.sage')
-
-  File sage/misc/persist.pyx:175 in sage.misc.persist.load
-    sage.repl.load.load(filename, globals())
-
-  File /ext/sage/9.7/src/sage/repl/load.py:272 in load
-    exec(preparse_file(f.read()) + "\n", globals)
-
-  File <string>:21 in <module>
-
-  File sage/misc/persist.pyx:175 in sage.misc.persist.load
-    sage.repl.load.load(filename, globals())
-
-  File /ext/sage/9.7/src/sage/repl/load.py:272 in load
-    exec(preparse_file(f.read()) + "\n", globals)
-
-  File <string>:15
-    return superelliptic_form(C1, f(x=x+_sage_const_1 , y))
-                                                         ^
-SyntaxError: positional argument follows keyword argument
-
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[(1/y) dx, (x/y) dx, (x^2/y) dx, (x^3/y) dx, (x^4/y) dx, (x^5/y) dx, (x^6/y) dx]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7la_lead = f.coefficients(sparse=False)[d][?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lom.form[?7h[?12l[?25h[?25l[?7l = A[0][?7h[?12l[?25h[?25l[?7lA[0][?7h[?12l[?25h[?25l[?7l = C_super.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lsage: A = C_super.holomorphic_differentials_basis()

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA = C_super.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA = C_super.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lom.form[?7h[?12l[?25h[?25l[?7l = A[0][?7h[?12l[?25h[?25l[?7lA[0][?7h[?12l[?25h[?25l[?7lom = A[0][?7h[?12l[?25h[?25l[?7lsage: om = A[0]

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7la_lead = f.coefficients(sparse=False)[d][?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: autom(om)

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-NameError                                 Traceback (most recent call last)
-Input In [12], in <cell line: 1>()
-----> 1 autom(om)
-
-File <string>:15, in autom(omega)
-
-NameError: name 'y' is not defined
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lautom(om)[?7h[?12l[?25h[?25l[?7lom = A[0][?7h[?12l[?25h[?25l[?7lA = C_super.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004lTraceback (most recent call last):
-
-  File /ext/sage/9.7/local/var/lib/sage/venv-python3.10.5/lib/python3.10/site-packages/IPython/core/interactiveshell.py:3398 in run_code
-    exec(code_obj, self.user_global_ns, self.user_ns)
-
-  Input In [13] in <cell line: 1>
-    load('init.sage')
-
-  File sage/misc/persist.pyx:175 in sage.misc.persist.load
-    sage.repl.load.load(filename, globals())
-
-  File /ext/sage/9.7/src/sage/repl/load.py:272 in load
-    exec(preparse_file(f.read()) + "\n", globals)
-
-  File <string>:21 in <module>
-
-  File sage/misc/persist.pyx:175 in sage.misc.persist.load
-    sage.repl.load.load(filename, globals())
-
-  File /ext/sage/9.7/src/sage/repl/load.py:272 in load
-    exec(preparse_file(f.read()) + "\n", globals)
-
-  File <string>:21
-    print [autom(omm) for omm in A]
-    ^
-SyntaxError: Missing parentheses in call to 'print'. Did you mean print(...)?
-
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [14], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File <string>:21, in <listcomp>(.0)
-
-File <string>:16, in autom(omega)
-
-File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
-    895 if mor is not None:
-    896     if no_extra_args:
---> 897         return mor._call_(x)
-    898     else:
-    899         return mor._call_with_args(x, args, kwds)
-
-File /ext/sage/9.7/src/sage/categories/map.pyx:788, in sage.categories.map.Map._call_()
-    786     return self._call_with_args(x, args, kwds)
-    787 
---> 788 cpdef Element _call_(self, x):
-    789     """
-    790     Call method with a single argument, not implemented in the base class.
-
-File /ext/sage/9.7/src/sage/rings/fraction_field.py:1254, in FractionFieldEmbeddingSection._call_(self, x, check)
-   1249     return num
-   1250 if check and not den.is_unit():
-   1251     # This should probably be a ValueError.
-   1252     # However, too much existing code is expecting this to throw a
-   1253     # TypeError, so we decided to keep it for the time being.
--> 1254     raise TypeError("fraction must have unit denominator")
-   1255 return num * den.inverse_of_unit()
-
-TypeError: fraction must have unit denominator
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[(1/y) dx, ((x + 1)/y) dx, ((x^2 - x + 1)/y) dx, ((x^3 + 1)/y) dx, ((x^4 + x^3 + x + 1)/y) dx, ((x^5 - x^4 + x^3 + x^2 - x + 1)/y) dx, ((x^6 - x^3 + 1)/y) dx]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[(1/y) dx, ((x + 1)/y) dx, ((x^2 - x + 1)/y) dx, ((x^3 + 1)/y) dx, ((x^4 + x^3 + x + 1)/y) dx, ((x^5 - x^4 + x^3 + x^2 - x + 1)/y) dx, ((x^6 - x^3 + 1)/y) dx]
-[(1, 0, 0, 0, 0, 0, 0), (1, 1, 0, 0, 0, 0, 0), (1, 2, 1, 0, 0, 0, 0), (1, 0, 0, 1, 0, 0, 0), (1, 1, 0, 1, 1, 0, 0), (1, 2, 1, 1, 2, 1, 0), (1, 0, 0, 2, 0, 0, 1)]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[(1/y) dx, ((x + 1)/y) dx, ((x^2 - x + 1)/y) dx, ((x^3 + 1)/y) dx, ((x^4 + x^3 + x + 1)/y) dx, ((x^5 - x^4 + x^3 + x^2 - x + 1)/y) dx, ((x^6 - x^3 + 1)/y) dx]
-[(1, 0, 0, 0, 0, 0, 0), (1, 1, 0, 0, 0, 0, 0), (1, 2, 1, 0, 0, 0, 0), (1, 0, 0, 1, 0, 0, 0), (1, 1, 0, 1, 1, 0, 0), (1, 2, 1, 1, 2, 1, 0), (1, 0, 0, 2, 0, 0, 1)]
-[1 1 1 1 1 1 1]
-[0 1 2 0 1 2 0]
-[0 0 1 0 0 1 0]
-[0 0 0 1 1 1 2]
-[0 0 0 0 1 2 0]
-[0 0 0 0 0 1 0]
-[0 0 0 0 0 0 1]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lM[?7h[?12l[?25h[?25l[?7lsage: M

-[?7h[?12l[?25h[?2004l[?7h[1 1 1 1 1 1 1]
-[0 1 2 0 1 2 0]
-[0 0 1 0 0 1 0]
-[0 0 0 1 1 1 2]
-[0 0 0 0 1 2 0]
-[0 0 0 0 0 1 0]
-[0 0 0 0 0 0 1]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lM[?7h[?12l[?25h[?25l[?7l.determinant()[?7h[?12l[?25h[?25l[?7lj[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: M.jordan_form()

-[?7h[?12l[?25h[?2004l[?7h[1 1 0|0 0 0|0]
-[0 1 1|0 0 0|0]
-[0 0 1|0 0 0|0]
-[-----+-----+-]
-[0 0 0|1 1 0|0]
-[0 0 0|0 1 1|0]
-[0 0 0|0 0 1|0]
-[-----+-----+-]
-[0 0 0|0 0 0|1]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC_super.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lsage: C

-[?7h[?12l[?25h[?2004l[?7hSuperelliptic curve with the equation y^2 = x^15 + x^13 + x^11 + 2*x^9 + 2*x^7 + 2*x^5 + 1 over Finite Field of size 3
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[(1/y) dx, ((x + 1)/y) dx, ((x^2 - x + 1)/y) dx, ((x^3 + 1)/y) dx, ((x^4 + x^3 + x + 1)/y) dx, ((x^5 - x^4 + x^3 + x^2 - x + 1)/y) dx, ((x^6 - x^3 + 1)/y) dx]
-[(1, 0, 0, 0, 0, 0, 0), (1, 1, 0, 0, 0, 0, 0), (1, 2, 1, 0, 0, 0, 0), (1, 0, 0, 1, 0, 0, 0), (1, 1, 0, 1, 1, 0, 0), (1, 2, 1, 1, 2, 1, 0), (1, 0, 0, 2, 0, 0, 1)]
-[1 1 1 1 1 1 1]
-[0 1 2 0 1 2 0]
-[0 0 1 0 0 1 0]
-[0 0 0 1 1 1 2]
-[0 0 0 0 1 2 0]
-[0 0 0 0 0 1 0]
-[0 0 0 0 0 0 1]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7lsage: Cf

-[?7h[?12l[?25h[?2004l[?7hSuperelliptic curve with the equation y^2 = x^5 + 1 over Finite Field of size 3
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lCf[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lg[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: Cf.genus()

-[?7h[?12l[?25h[?2004l[?7h2
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lCf.genus()[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lis[?7h[?12l[?25h[?25l[?7lis_[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7lh[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: Cf.is_smooth()

-[?7h[?12l[?25h[?2004l[?7h1
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lCf.is_smooth()[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lv[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7lschiebung_matrix[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: C.verschiebung_matrix()

-[?7h[?12l[?25h[?2004l[?7h[0 2 0 1 0 0 0 0 0 0 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0 0 0 0 0]
-[1 0 0 2 0 1 0 0 0 0 0 0 0 0]
-[0 0 2 0 1 0 0 0 0 0 0 0 0 0]
-[0 0 0 2 0 1 0 0 0 0 0 0 0 0]
-[0 1 0 0 2 0 1 0 0 0 0 0 0 0]
-[0 0 0 2 0 1 0 0 0 0 0 0 0 0]
-[0 1 0 2 0 0 0 0 0 0 0 0 0 0]
-[2 0 1 0 0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0 0 0 0 0]
-[1 0 2 0 0 0 0 0 0 0 0 0 0 0]
-[0 1 2 0 1 0 0 0 0 0 0 0 0 0]
-[0 1 0 2 0 0 0 0 0 0 0 0 0 0]
-[0 2 1 0 2 0 0 0 0 0 0 0 0 0]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC.verschiebung_matrix()[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7ltier_matrix[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: C.cartier_matrix()

-[?7h[?12l[?25h[?2004l[?7h[0 2 0 1 0 0 0]
-[0 0 2 0 1 0 0]
-[1 0 0 2 0 1 0]
-[0 0 2 0 1 0 0]
-[0 0 0 2 0 1 0]
-[0 1 0 0 2 0 1]
-[0 0 0 2 0 1 0]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lm = 7[?7h[?12l[?25h[?25l[?7lagmathis(A, B)[?7h[?12l[?25h[?25l[?7lg[?7h[?12l[?25h[?25l[?7lmathis(A, B)[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[(1/y) dx, ((x + 1)/y) dx, ((x^2 - x + 1)/y) dx, ((x^3 + 1)/y) dx, ((x^4 + x^3 + x + 1)/y) dx, ((x^5 - x^4 + x^3 + x^2 - x + 1)/y) dx, ((x^6 - x^3 + 1)/y) dx]
-[(1, 0, 0, 0, 0, 0, 0), (1, 1, 0, 0, 0, 0, 0), (1, 2, 1, 0, 0, 0, 0), (1, 0, 0, 1, 0, 0, 0), (1, 1, 0, 1, 1, 0, 0), (1, 2, 1, 1, 2, 1, 0), (1, 0, 0, 2, 0, 0, 1)]
-[1 1 1 1 1 1 1]
-[0 1 2 0 1 2 0]
-[0 0 1 0 0 1 0]
-[0 0 0 1 1 1 2]
-[0 0 0 0 1 2 0]
-[0 0 0 0 0 1 0]
-[0 0 0 0 0 0 1]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[1 1 1 1 1 1 1]
-[0 1 2 0 1 2 0]
-[0 0 1 0 0 1 0]
-[0 0 0 1 1 1 2]
-[0 0 0 0 1 2 0]
-[0 0 0 0 0 1 0]
-[0 0 0 0 0 0 1]
-[
-RModule M of dimension 7 over GF(3)
-]
-{
-[1 1 1 1 1 1 1]
-[0 1 2 0 1 2 0]
-[0 0 1 0 0 1 0]
-[0 0 0 1 1 1 2]
-[0 0 0 0 1 2 0]
-[0 0 0 0 0 1 0]
-[0 0 0 0 0 0 1],
-[0 2 0 1 0 0 0]
-[0 0 2 0 1 0 0]
-[1 0 0 2 0 1 0]
-[0 0 2 0 1 0 0]
-[0 0 0 2 0 1 0]
-[0 1 0 0 2 0 1]
-[0 0 0 2 0 1 0]
-}
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA = C_super.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7l[0][?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[].[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: A[0].cartier()

-[?7h[?12l[?25h[?2004l[?7h((x^3 - x)/y) dx
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA[0].cartier()[?7h[?12l[?25h[?25l[?7l().[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: A[0].cartier().coordinates()

-[?7h[?12l[?25h[?2004l[?7h(0, 2, 0, 1, 0, 0, 0)
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[1 1 1 1 1 1 1]
-[0 1 2 0 1 2 0]
-[0 0 1 0 0 1 0]
-[0 0 0 1 1 1 2]
-[0 0 0 0 1 2 0]
-[0 0 0 0 0 1 0]
-[0 0 0 0 0 0 1]
-[
-RModule M of dimension 7 over GF(3)
-]
-{
-[1 1 1 1 1 1 1]
-[0 1 2 0 1 2 0]
-[0 0 1 0 0 1 0]
-[0 0 0 1 1 1 2]
-[0 0 0 0 1 2 0]
-[0 0 0 0 0 1 0]
-[0 0 0 0 0 0 1],
-[0 0 1 0 0 0 0]
-[2 0 0 0 0 1 0]
-[0 2 0 2 0 0 0]
-[1 0 2 0 2 0 2]
-[0 1 0 1 0 2 0]
-[0 0 1 0 1 0 1]
-[0 0 0 0 0 1 0]
-}
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC.cartier_matrix()[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7lh[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: C.de_rham_basis()

-[?7h[?12l[?25h[?2004l[?7h[((1/y) dx, 0, (1/y) dx),
- ((x/y) dx, 0, (x/y) dx),
- ((x^2/y) dx, 0, (x^2/y) dx),
- ((x^3/y) dx, 0, (x^3/y) dx),
- ((x^4/y) dx, 0, (x^4/y) dx),
- ((x^5/y) dx, 0, (x^5/y) dx),
- ((x^6/y) dx, 0, (x^6/y) dx),
- (((x^13 - x^11 - x^7 + x^5)/y) dx, 2/x*y, ((-1)/(x^2*y)) dx),
- (((-x^12 + x^8 + x^6 - x^2)/y) dx, 2/x^2*y, (1/(x^3*y)) dx),
- (((x^9 - x^7 - x^3 + x)/y) dx, 2/x^3*y, 0 dx),
- (((x^10 - x^8 - x^4 + x^2)/y) dx, 2/x^4*y, ((-1)/(x^5*y)) dx),
- (((-x^9 + x^5 + x^3)/y) dx, 2/x^5*y, ((x^5 + 1)/(x^6*y)) dx),
- (((x^6 - x^4 - 1)/y) dx, 2/x^6*y, ((-1)/(x^2*y)) dx),
- (((x^7 - x^5 - x)/y) dx, 2/x^7*y, ((-x^7 - 1)/(x^8*y)) dx)]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-AttributeError                            Traceback (most recent call last)
-Input In [33], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:29, in <module>
-
-File <string>:17, in autom(omega)
-
-AttributeError: 'superelliptic_cech' object has no attribute 'form'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA[0].cartier().coordinates()[?7h[?12l[?25h[?25l[?7lsage: A

-[?7h[?12l[?25h[?2004l[?7h[((1/y) dx, 0, (1/y) dx),
- ((x/y) dx, 0, (x/y) dx),
- ((x^2/y) dx, 0, (x^2/y) dx),
- ((x^3/y) dx, 0, (x^3/y) dx),
- ((x^4/y) dx, 0, (x^4/y) dx),
- ((x^5/y) dx, 0, (x^5/y) dx),
- ((x^6/y) dx, 0, (x^6/y) dx),
- (((x^13 - x^11 - x^7 + x^5)/y) dx, 2/x*y, ((-1)/(x^2*y)) dx),
- (((-x^12 + x^8 + x^6 - x^2)/y) dx, 2/x^2*y, (1/(x^3*y)) dx),
- (((x^9 - x^7 - x^3 + x)/y) dx, 2/x^3*y, 0 dx),
- (((x^10 - x^8 - x^4 + x^2)/y) dx, 2/x^4*y, ((-1)/(x^5*y)) dx),
- (((-x^9 + x^5 + x^3)/y) dx, 2/x^5*y, ((x^5 + 1)/(x^6*y)) dx),
- (((x^6 - x^4 - 1)/y) dx, 2/x^6*y, ((-1)/(x^2*y)) dx),
- (((x^7 - x^5 - x)/y) dx, 2/x^7*y, ((-x^7 - 1)/(x^8*y)) dx)]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7l[0].cartier().coordinates()[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7lsage: A[0]

-[?7h[?12l[?25h[?2004l[?7h((1/y) dx, 0, (1/y) dx)
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lm = 7[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7lsage: mm = A[0]

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lmm = A[0][?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lsage: mm.

- mm.coordinates  mm.frobenius    mm.omega8      

- mm.curve        mm.is_cocycle   mm.verschiebung

- mm.f            mm.omega0                      

-

- [?7h[?12l[?25h[?25l[?7lf

-

-

-[?7h[?12l[?25h[?25l[?7lsage: mm.f

-[?7h[?12l[?25h[?2004l[?7h0
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lsage: 

-

-

- [?7h[?12l[?25h[?25l[?7lA[0][?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l-[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7lsage: A[-1]

-[?7h[?12l[?25h[?2004l[?7h(((x^7 - x^5 - x)/y) dx, 2/x^7*y, ((-x^7 - 1)/(x^8*y)) dx)
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lsage: 

- [?7h[?12l[?25h[?25l[?7lA[-1][?7h[?12l[?25h[?25l[?7l[].[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7lsage: A[-1].f

-[?7h[?12l[?25h[?2004l[?7h2/x^7*y
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA[-1].f[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7lsage: A[-1].f.fct

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-AttributeError                            Traceback (most recent call last)
-Input In [40], in <cell line: 1>()
-----> 1 A[-Integer(1)].f.fct
-
-AttributeError: 'superelliptic_function' object has no attribute 'fct'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA[-1].f.fct[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7luct[?7h[?12l[?25h[?25l[?7lnct[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lsage: A[-1].f.function

-[?7h[?12l[?25h[?2004l[?7h2/x^7*y
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lset(*lista2)[?7h[?12l[?25h[?25l[?7lubset_um_quadratic_form(A0, q)[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l?[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lsuper[?7h[?12l[?25h[?25l[?7lsupere[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7lh[?7h[?12l[?25h[?25l[?7lsage: ?superelliptic_cech

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-OSError                                   Traceback (most recent call last)
-Input In [42], in <cell line: 1>()
-----> 1 get_ipython().run_line_magic('pinfo', 'superelliptic_cech')
-
-File /ext/sage/9.7/local/var/lib/sage/venv-python3.10.5/lib/python3.10/site-packages/IPython/core/interactiveshell.py:2305, in InteractiveShell.run_line_magic(self, magic_name, line, _stack_depth)
-   2303     kwargs['local_ns'] = self.get_local_scope(stack_depth)
-   2304 with self.builtin_trap:
--> 2305     result = fn(*args, **kwargs)
-   2306 return result
-
-File /ext/sage/9.7/local/var/lib/sage/venv-python3.10.5/lib/python3.10/site-packages/IPython/core/magics/namespace.py:58, in NamespaceMagics.pinfo(self, parameter_s, namespaces)
-     56     self.psearch(oname)
-     57 else:
----> 58     self.shell._inspect('pinfo', oname, detail_level=detail_level,
-     59                         namespaces=namespaces)
-
-File /ext/sage/9.7/local/var/lib/sage/venv-python3.10.5/lib/python3.10/site-packages/IPython/core/interactiveshell.py:1685, in InteractiveShell._inspect(self, meth, oname, namespaces, **kw)
-   1683     pmethod(info.obj, oname, formatter)
-   1684 elif meth == 'pinfo':
--> 1685     pmethod(
-   1686         info.obj,
-   1687         oname,
-   1688         formatter,
-   1689         info,
-   1690         enable_html_pager=self.enable_html_pager,
-   1691         **kw,
-   1692     )
-   1693 else:
-   1694     pmethod(info.obj, oname)
-
-File /ext/sage/9.7/local/var/lib/sage/venv-python3.10.5/lib/python3.10/site-packages/IPython/core/oinspect.py:698, in Inspector.pinfo(self, obj, oname, formatter, info, detail_level, enable_html_pager, omit_sections)
-    665 def pinfo(
-    666     self,
-    667     obj,
-   (...)
-    673     omit_sections=(),
-    674 ):
-    675     """Show detailed information about an object.
-    676 
-    677     Optional arguments:
-   (...)
-    696     - omit_sections: set of section keys and titles to omit
-    697     """
---> 698     info = self._get_info(
-    699         obj, oname, formatter, info, detail_level, omit_sections=omit_sections
-    700     )
-    701     if not enable_html_pager:
-    702         del info['text/html']
-
-File /ext/sage/9.7/local/var/lib/sage/venv-python3.10.5/lib/python3.10/site-packages/IPython/core/oinspect.py:591, in Inspector._get_info(self, obj, oname, formatter, info, detail_level, omit_sections)
-    571 def _get_info(
-    572     self, obj, oname="", formatter=None, info=None, detail_level=0, omit_sections=()
-    573 ):
-    574     """Retrieve an info dict and format it.
-    575 
-    576     Parameters
-   (...)
-    588         Titles or keys to omit from output (can be set, tuple, etc., anything supporting `in`)
-    589     """
---> 591     info = self.info(obj, oname=oname, info=info, detail_level=detail_level)
-    593     _mime = {
-    594         'text/plain': [],
-    595         'text/html': '',
-    596     }
-    598     def append_field(bundle, title:str, key:str, formatter=None):
-
-File /ext/sage/9.7/local/var/lib/sage/venv-python3.10.5/lib/python3.10/site-packages/IPython/core/oinspect.py:762, in Inspector.info(self, obj, oname, info, detail_level)
-    760             ds += "\nDocstring:\n" + obj.__doc__
-    761 else:
---> 762     ds = getdoc(obj)
-    763     if ds is None:
-    764         ds = '<no docstring>'
-
-File /ext/sage/9.7/src/sage/misc/lazy_import.pyx:391, in sage.misc.lazy_import.LazyImport.__call__()
-    389         True
-    390     """
---> 391     return self.get_object()(*args, **kwds)
-    392 
-    393 def __repr__(self):
-
-File /ext/sage/9.7/src/sage/misc/sageinspect.py:2107, in sage_getdoc(obj, obj_name, embedded)
-   2105 r = sage_getdoc_original(obj)
-   2106 s = sage.misc.sagedoc.format(r, embedded=embedded)
--> 2107 f = sage_getfile(obj)
-   2108 if f and os.path.exists(f):
-   2109     from sage.doctest.control import skipfile
-
-File /ext/sage/9.7/src/sage/misc/sageinspect.py:1414, in sage_getfile(obj)
-   1412 # No go? fall back to inspect.
-   1413 try:
--> 1414     sourcefile = inspect.getabsfile(obj)
-   1415 except TypeError: # this happens for Python builtins
-   1416     return ''
-
-File /ext/sage/9.7/local/var/lib/sage/venv-python3.10.5/lib/python3.10/inspect.py:844, in getabsfile(object, _filename)
-    839 """Return an absolute path to the source or compiled file for an object.
-    840 
-    841 The idea is for each object to have a unique origin, so this routine
-    842 normalizes the result as much as possible."""
-    843 if _filename is None:
---> 844     _filename = getsourcefile(object) or getfile(object)
-    845 return os.path.normcase(os.path.abspath(_filename))
-
-File /ext/sage/9.7/local/var/lib/sage/venv-python3.10.5/lib/python3.10/inspect.py:817, in getsourcefile(object)
-    813 def getsourcefile(object):
-    814     """Return the filename that can be used to locate an object's source.
-    815     Return None if no way can be identified to get the source.
-    816     """
---> 817     filename = getfile(object)
-    818     all_bytecode_suffixes = importlib.machinery.DEBUG_BYTECODE_SUFFIXES[:]
-    819     all_bytecode_suffixes += importlib.machinery.OPTIMIZED_BYTECODE_SUFFIXES[:]
-
-File /ext/sage/9.7/local/var/lib/sage/venv-python3.10.5/lib/python3.10/inspect.py:785, in getfile(object)
-    783             return module.__file__
-    784         if object.__module__ == '__main__':
---> 785             raise OSError('source code not available')
-    786     raise TypeError('{!r} is a built-in class'.format(object))
-    787 if ismethod(object):
-
-OSError: source code not available
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l?superelliptic_cech[?7h[?12l[?25h[?25l[?7lA[-1].f.function[?7h[?12l[?25h[?25l[?7l?superelliptic_cech[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-UnboundLocalError                         Traceback (most recent call last)
-Input In [43], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:44, in <module>
-
-File <string>:33, in automdR(omega)
-
-UnboundLocalError: local variable 'om8' referenced before assignment
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[1 1 1 1 1 1 1 0 0 0 0 0 0 0]
-[0 1 2 0 1 2 0 0 0 0 0 0 0 0]
-[0 0 1 0 0 1 0 0 0 0 0 0 0 0]
-[0 0 0 1 1 1 2 0 0 0 0 0 0 0]
-[0 0 0 0 1 2 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 1 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0 0 0 0 0]
-[
-RModule of dimension 1 over GF(3),
-RModule of dimension 1 over GF(3),
-RModule of dimension 1 over GF(3),
-RModule of dimension 1 over GF(3),
-RModule of dimension 10 over GF(3)
-]
-{
-[0]
-}
-{
-[0]
-}
-{
-[0]
-}
-{
-[0]
-}
-{
-[1 1 1 1 1 1 1 0 0 0]
-[0 1 2 0 1 2 0 0 0 0]
-[0 0 1 0 0 1 0 0 0 0]
-[0 0 0 1 1 1 2 0 0 0]
-[0 0 0 0 1 2 0 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 1 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0],
-[0 0 1 0 0 0 0 0 2 0]
-[2 0 0 0 0 1 0 1 0 1]
-[0 2 0 2 0 0 0 0 1 2]
-[1 0 2 0 2 0 2 2 0 0]
-[0 1 0 1 0 2 0 0 0 1]
-[0 0 1 0 1 0 1 0 0 0]
-[0 0 0 0 0 1 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-[0 0 0 0 0 0 0 0 0 0]
-}
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [45], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:43, in <module>
-
-File <string>:75, in coordinates(self)
-
-File <string>:113, in degree_of_rational_fctn(f, F)
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_ring_constructor.py:554, in PolynomialRing(base_ring, *args, **kwds)
-     52 r"""
-     53 Return the globally unique univariate or multivariate polynomial
-     54 ring with given properties and variable name or names.
-   (...)
-    551     TypeError: unable to convert 'x' to an integer
-    552 """
-    553 if not ring.is_Ring(base_ring):
---> 554     raise TypeError("base_ring {!r} must be a ring".format(base_ring))
-    556 n = -1  # Unknown number of variables
-    557 names = None  # Unknown variable names
-
-TypeError: base_ring 3 must be a ring
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ sage
-┌────────────────────────────────────────────────────────────────────┐
-│ SageMath version 9.7, Release Date: 2022-09-19                     │
-│ Using Python 3.10.5. Type "help()" for help.                       │
-└────────────────────────────────────────────────────────────────────┘
-]0;IPython: DeRhamComputation/sage[?2004h[?1l[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7load('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[((1/y) dx, 0, (1/y) dx), ((x/y) dx, 2/x*y, ((-1)/(x*y)) dx)]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lx, y = C_super.x, C_super.y[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lx, y = C_super.x, C_super.y[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC.de_rham_basis()[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7lsage: C.x

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-NameError                                 Traceback (most recent call last)
-Input In [2], in <cell line: 1>()
-----> 1 C.x
-
-NameError: name 'C' is not defined
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC.x[?7h[?12l[?25h[?25l[?7l_super.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7lsage: C_super.x

-[?7h[?12l[?25h[?2004l[?7hx
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC_super.x[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ltC_super.x[?7h[?12l[?25h[?25l[?7lyC_super.x[?7h[?12l[?25h[?25l[?7lpC_super.x[?7h[?12l[?25h[?25l[?7leC_super.x[?7h[?12l[?25h[?25l[?7ltype(C_super.x[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: type(C_super.x)

-[?7h[?12l[?25h[?2004l[?7h<class '__main__.superelliptic_function'>
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ltype(C_super.x)[?7h[?12l[?25h[?25l[?7lC_super.x[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: C_super.x.diffn()

-[?7h[?12l[?25h[?2004l[?7h1 dx
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[((1/y) dx, 0, (1/y) dx), ((x/y) dx, 2/x*y, ((-1)/(x*y)) dx)]
----------------------------------------------------------------------------
-AttributeError                            Traceback (most recent call last)
-Input In [6], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:13, in <module>
-
-File <string>:46, in __mul__(self, other)
-
-AttributeError: 'superelliptic_form' object has no attribute 'function'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC_super.x.diffn()[?7h[?12l[?25h[?25l[?7l_super.x.diffn()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7liC_super.x[?7h[?12l[?25h[?25l[?7lsC_super.x[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l_C_super.x[?7h[?12l[?25h[?25l[?7liC_super.x[?7h[?12l[?25h[?25l[?7lsC_super.x[?7h[?12l[?25h[?25l[?7lC_super.x[?7h[?12l[?25h[?25l[?7lnC_super.x[?7h[?12l[?25h[?25l[?7lsC_super.x[?7h[?12l[?25h[?25l[?7ltC_super.x[?7h[?12l[?25h[?25l[?7laC_super.x[?7h[?12l[?25h[?25l[?7lnC_super.x[?7h[?12l[?25h[?25l[?7lcC_super.x[?7h[?12l[?25h[?25l[?7leC_super.x[?7h[?12l[?25h[?25l[?7l(C_super.x[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l,)[?7h[?12l[?25h[?25l[?7l )[?7h[?12l[?25h[?25l[?7ls)[?7h[?12l[?25h[?25l[?7lu)[?7h[?12l[?25h[?25l[?7lp)[?7h[?12l[?25h[?25l[?7le)[?7h[?12l[?25h[?25l[?7lsuper)[?7h[?12l[?25h[?25l[?7lsupere)[?7h[?12l[?25h[?25l[?7ll)[?7h[?12l[?25h[?25l[?7ll)[?7h[?12l[?25h[?25l[?7li)[?7h[?12l[?25h[?25l[?7lp)[?7h[?12l[?25h[?25l[?7lt)[?7h[?12l[?25h[?25l[?7li)[?7h[?12l[?25h[?25l[?7lc)[?7h[?12l[?25h[?25l[?7l_)[?7h[?12l[?25h[?25l[?7lf)[?7h[?12l[?25h[?25l[?7lu)[?7h[?12l[?25h[?25l[?7ln)[?7h[?12l[?25h[?25l[?7lc)[?7h[?12l[?25h[?25l[?7lt)[?7h[?12l[?25h[?25l[?7li)[?7h[?12l[?25h[?25l[?7lo)[?7h[?12l[?25h[?25l[?7ln)[?7h[?12l[?25h[?25l[?7lsage: is_instance(C_super.x, superelliptic_function)

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-NameError                                 Traceback (most recent call last)
-Input In [7], in <cell line: 1>()
-----> 1 is_instance(C_super.x, superelliptic_function)
-
-NameError: name 'is_instance' is not defined
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lis_instance(C_super.x, superelliptic_function)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lisinstance(C_super.x, supereliptic_function)[?7h[?12l[?25h[?25l[?7lsage: isinstance(C_super.x, superelliptic_function)

-[?7h[?12l[?25h[?2004l[?7hFalse
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lisinstance(C_super.x, superelliptic_function)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: isinstance(C_super.x, superelliptic_function)

-[?7h[?12l[?25h[?2004l[?7hFalse
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC_super.x.diffn()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ltype(C_super.x)[?7h[?12l[?25h[?25l[?7ly[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7ltype[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l(C_super.x)[?7h[?12l[?25h[?25l[?7lsage: type(C_super.x)

-[?7h[?12l[?25h[?2004l[?7h<class '__main__.superelliptic_function'>
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ltype(C_super.x)[?7h[?12l[?25h[?25l[?7lisinstance(C_super.x, superelliptic_function)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7lsuper)[?7h[?12l[?25h[?25l[?7lsupe)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7lsuperelliptic_function)[?7h[?12l[?25h[?25l[?7lsage: isinstance(C_super.x, superelliptic_function)

-[?7h[?12l[?25h[?2004l[?7hFalse
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7l('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[((1/y) dx, 0, (1/y) dx), ((x/y) dx, 2/x*y, ((-1)/(x*y)) dx)]
-!
-!
----------------------------------------------------------------------------
-AttributeError                            Traceback (most recent call last)
-Input In [12], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:13, in <module>
-
-File <string>:47, in __mul__(self, other)
-
-AttributeError: 'superelliptic_form' object has no attribute 'function'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[((1/y) dx, 0, (1/y) dx), ((x/y) dx, 2/x*y, ((-1)/(x*y)) dx)]
----------------------------------------------------------------------------
-AttributeError                            Traceback (most recent call last)
-Input In [13], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:13, in <module>
-
-File /ext/sage/9.7/src/sage/structure/element.pyx:494, in sage.structure.element.Element.__getattr__()
-    492         AttributeError: 'LeftZeroSemigroup_with_category.element_class' object has no attribute 'blah_blah'
-    493     """
---> 494     return self.getattr_from_category(name)
-    495 
-    496 cdef getattr_from_category(self, name):
-
-File /ext/sage/9.7/src/sage/structure/element.pyx:507, in sage.structure.element.Element.getattr_from_category()
-    505     else:
-    506         cls = P._abstract_element_class
---> 507     return getattr_from_other_class(self, cls, name)
-    508 
-    509 def __dir__(self):
-
-File /ext/sage/9.7/src/sage/cpython/getattr.pyx:361, in sage.cpython.getattr.getattr_from_other_class()
-    359     dummy_error_message.cls = type(self)
-    360     dummy_error_message.name = name
---> 361     raise AttributeError(dummy_error_message)
-    362 attribute = <object>attr
-    363 # Check for a descriptor (__get__ in Python)
-
-AttributeError: 'sage.rings.fraction_field_element.FractionFieldElement' object has no attribute 'diffn'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC_super.x.diffn()[?7h[?12l[?25h[?25l[?7l.x[?7h[?12l[?25h[?25l[?7lde_rham_basis()[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7lsage: C.dx

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-AttributeError                            Traceback (most recent call last)
-Input In [14], in <cell line: 1>()
-----> 1 C.dx
-
-AttributeError: 'superelliptic' object has no attribute 'dx'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[((1/y) dx, 0, (1/y) dx), ((x/y) dx, 2/x*y, ((-1)/(x*y)) dx)]
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [15], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:21, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:13, in <module>
-
-File /ext/sage/9.7/src/sage/rings/integer.pyx:2037, in sage.rings.integer.Integer.__truediv__()
-   2035         return y
-   2036 
--> 2037     return coercion_model.bin_op(left, right, operator.truediv)
-   2038 
-   2039 cpdef _div_(self, right):
-
-File /ext/sage/9.7/src/sage/structure/coerce.pyx:1248, in sage.structure.coerce.CoercionModel.bin_op()
-   1246     # We should really include the underlying error.
-   1247     # This causes so much headache.
--> 1248     raise bin_op_exception(op, x, y)
-   1249 
-   1250 cpdef canonical_coercion(self, x, y):
-
-TypeError: unsupported operand parent(s) for /: 'Integer Ring' and '<class '__main__.superelliptic_function'>'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004lTraceback (most recent call last):
-
-  File /ext/sage/9.7/local/var/lib/sage/venv-python3.10.5/lib/python3.10/site-packages/IPython/core/interactiveshell.py:3398 in run_code
-    exec(code_obj, self.user_global_ns, self.user_ns)
-
-  Input In [16] in <cell line: 1>
-    load('init.sage')
-
-  File sage/misc/persist.pyx:175 in sage.misc.persist.load
-    sage.repl.load.load(filename, globals())
-
-  File /ext/sage/9.7/src/sage/repl/load.py:272 in load
-    exec(preparse_file(f.read()) + "\n", globals)
-
-  File <string>:1 in <module>
-
-  File sage/misc/persist.pyx:175 in sage.misc.persist.load
-    sage.repl.load.load(filename, globals())
-
-  File /ext/sage/9.7/src/sage/repl/load.py:272 in load
-    exec(preparse_file(f.read()) + "\n", globals)
-
-  File <string>:21
-    self.gen(1) = superelliptic_function(self, Rxy(_sage_const_1 ))
-    ^
-SyntaxError: cannot assign to function call here. Maybe you meant '==' instead of '='?
-
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC.dx[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[((1/y) dx, 0, (1/y) dx), ((x/y) dx, 2/x*y, ((-1)/(x*y)) dx)]
-((x^11 - x^9 + x^7 - x^3 + y)/(x^5*y)) dx
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l((x^12 - x^10 + x^8 - x^4 - x^2 + 1)/(x^6*y)) dx
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: 

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: 

-

-

- [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lIfactors = I.factor()[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lg[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l9[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()([?7h[?12l[?25h[?25l[?7l5[?7h[?12l[?25h[?25l[?7l/[?7h[?12l[?25h[?25l[?7l2[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: Integers(9)(5/2)

-[?7h[?12l[?25h[?2004l[?7h7
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lsage: 

- [?7h[?12l[?25h[?25l[?7lIntegers(9)(5/2)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l/2)[?7h[?12l[?25h[?25l[?7l-/2)[?7h[?12l[?25h[?25l[?7l7/2)[?7h[?12l[?25h[?25l[?7lsage: Integers(9)(-7/2)

-[?7h[?12l[?25h[?2004l[?7h1
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(x^2-1)^4[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l^[?7h[?12l[?25h[?25l[?7l2[?7h[?12l[?25h[?25l[?7l/[?7h[?12l[?25h[?25l[?7ly[?7h[?12l[?25h[?25l[?7l^[?7h[?12l[?25h[?25l[?7l3[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l().[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7ly[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: (x^2/y^3).expansion_at_infty()

-[?7h[?12l[?25h[?2004l[?7ht^5 + O(t^15)
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(x^2/y^3).expansion_at_infty()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l/y^3).expansion_at_infty()[?7h[?12l[?25h[?25l[?7l4/y^3).expansion_at_infty()[?7h[?12l[?25h[?25l[?7lsage: (x^4/y^3).expansion_at_infty()

-[?7h[?12l[?25h[?2004l[?7ht + 2*t^5 + 2*t^9 + O(t^11)
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(x^4/y^3).expansion_at_infty()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(x^4/y^3).expansion_at_infty()[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l^[?7h[?12l[?25h[?25l[?7l2[?7h[?12l[?25h[?25l[?7l+[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l^[?7h[?12l[?25h[?25l[?7l3[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l4[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()*[?7h[?12l[?25h[?25l[?7ly[?7h[?12l[?25h[?25l[?7l^[?7h[?12l[?25h[?25l[?7l2[?7h[?12l[?25h[?25l[?7l*[?7h[?12l[?25h[?25l[?7ly[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: (x^2+x^4)*y^2*y.diffn()

-[?7h[?12l[?25h[?2004l[?7h((x^7 - x^3)/y) dx
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lom = A[0][?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(x^2+x^4)*y^2*y.diffn()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lp(x^2+x^4)*y^2*y.difn()[?7h[?12l[?25h[?25l[?7l(x^2+x^4)*y^2*y.difn()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lo(x^2+x^4)*y^2*y.difn()[?7h[?12l[?25h[?25l[?7lm(x^2+x^4)*y^2*y.difn()[?7h[?12l[?25h[?25l[?7l (x^2+x^4)*y^2*y.difn()[?7h[?12l[?25h[?25l[?7l=(x^2+x^4)*y^2*y.difn()[?7h[?12l[?25h[?25l[?7l (x^2+x^4)*y^2*y.difn()[?7h[?12l[?25h[?25l[?7lsage: om = (x^2+x^4)*y^2*y.diffn()

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lom = (x^2+x^4)*y^2*y.diffn()[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7l.form[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lsion_at_infty[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: om.expansion_at_infty()

-[?7h[?12l[?25h[?2004l[?7ht^-14 + O(t^-4)
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: 

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lP[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7lsage: P1

-[?7h[?12l[?25h[?2004l[?7hSuperelliptic curve with the equation y^1 = x over Finite Field of size 3
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC.dx[?7h[?12l[?25h[?25l[?7lsage: C

-[?7h[?12l[?25h[?2004l[?7h(Z/p)-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equation:
- z^3 - z = x^2
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7l.dx[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7le_rham_basis()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lgical_element[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: C.

-  C.at_most_poles                       C.cohomology_of_structure_sheaf_basis C.exponent_of_different               C.genus                               
 

-  C.at_most_poles_forms                 C.de_rham_basis                       C.exponent_of_different_prim          C.group                               
 

-  C.base_ring                           C.dx                                  C.fct_field                           C.height                              
>

-  C.characteristic                      C.dx_series                           C.functions                           C.holomorphic_differentials_basis     
 

- [?7h[?12l[?25h[?25l[?7lat_most_poles

- C.at_most_poles                      

-

-

-

- <unknown> [?7h[?12l[?25h[?25l[?7lcohomology_of_structure_sheaf_basis

- C.at_most_poles                       C.cohomology_of_structure_sheaf_basis[?7h[?12l[?25h[?25l[?7lexpnent_of_different

- C.cohomology_of_structure_sheaf_basis C.exponent_of_different              [?7h[?12l[?25h[?25l[?7lgenus

- C.exponent_of_different               C.genus                              [?7h[?12l[?25h[?25l[?7lith_ramification_gp

- cohomology_of_structure_sheaf_basisexpnent_of_different              genus                ith_ramification_gp

- derhambasi      exponent_of_different_primgroup                     jumps

-<dx       fct_fieldheight   lift_o_de_rham

- dx_seris     functionholomorphic_differentials_basismagical_element                [?7h[?12l[?25h[?25l[?7lnb_of_pts_at_nfty

-expnent_of_different              genus                ith_ramification_gpnb_of_pts_at_nfty 

-exponent_of_different_primgroup                     jumpsprec 

-fct_fieldheight   lift_o_de_rhampseudo_magical_element

-functionholomorphic_differentials_basismagical_element                quotient       [?7h[?12l[?25h[?25l[?7lramiicationjumps

-genus                ith_ramification_gpnb_of_pts_at_nfty ramiicationjumps

-group                     jumpsprec uniformizer

-height   lift_o_de_rhampseudo_magical_elementx                     

-holomorphic_differentials_basismagical_element                quotient       x_series[?7h[?12l[?25h[?25l[?7ly

-ith_ramification_gpnb_of_pts_at_nfty ramiicationjumpsy                  

-jumpsprec uniformizery_series    

-lift_o_de_rhampseudo_magical_elementx                     z 

-magical_element                quotient       x_seriesz 
[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l_series

- C.y                                  

- C.y_series                           [?7h[?12l[?25h[?25l[?7lz

-

- C.y_series                           

- C.z                                  [?7h[?12l[?25h[?25l[?7l_series

-

-

- C.z                                  

- C.z_series                           [?7h[?12l[?25h[?25l[?7l

- a_most_poles      cohmology_of_structure_sheaf_basisexponent_of_differentgenus 

- at_most_poles_formsde_rham_basisexponent_of_different_primgroup    

- basering      dx                    fct_fieldheight>

- characteristic dx_seriesfunctons C.holomorphic_differentials_basis     

-[?7h[?12l[?25h[?25l[?7l

-

-

-

-[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l

-  C                                  CFiniteSequence                    CPRFanoToricVariety                CRT_vectors                         

-  CBF                                CFiniteSequences                   CRT                                C_super                             

-  CC                                 CIF                                CRT_basis                          CachedFunction                     >

-  CDF                                CLF                                CRT_list                           CallableSymbolicExpressionRing      [?7h[?12l[?25h[?25l[?7l

- C                                 

-

-

-

- <unknown> [?7h[?12l[?25h[?25l[?7lFiniteSequence.

- C                                  CFiniteSequence                   [?7h[?12l[?25h[?25l[?7lPRFanoToricVariety.

- CFiniteSequence                    CPRFanoToricVariety               [?7h[?12l[?25h[?25l[?7l.

-

-

-

-

-[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7l.dx[?7h[?12l[?25h[?25l[?7l

-  C.at_most_poles                       C.cohomology_of_structure_sheaf_basis C.exponent_of_different               C.genus                               
 

-  C.at_most_poles_forms                 C.de_rham_basis                       C.exponent_of_different_prim          C.group                               
 

-  C.base_ring                           C.dx                                  C.fct_field                           C.height                              
>

-  C.characteristic                      C.dx_series                           C.functions                           C.holomorphic_differentials_basis     
 
[?7h[?12l[?25h[?25l[?7lat_most_poles

- C.at_most_poles                      

-

-

-

- <unknown> [?7h[?12l[?25h[?25l[?7l_forms

- C.at_most_poles                      

- C.at_most_poles_forms                [?7h[?12l[?25h[?25l[?7lbase_ring

-

- C.at_most_poles_forms                

- C.base_ring                          [?7h[?12l[?25h[?25l[?7lcharacteristic

-

-

- C.base_ring                          

- C.characteristic                     [?7h[?12l[?25h[?25l[?7lohomology_of_structure_sheaf_basis

- C.cohomology_of_structure_sheaf_basis

-

-

- C.characteristic                     [?7h[?12l[?25h[?25l[?7lde_rham_basis

- C.cohomology_of_structure_sheaf_basis

- C.de_rham_basis                      [?7h[?12l[?25h[?25l[?7lx

-

- C.de_rham_basis                      

- C.dx                                 [?7h[?12l[?25h[?25l[?7l_series

-

-

- C.dx                                 

- C.dx_series                          [?7h[?12l[?25h[?25l[?7leponent_of_different

- C.exponent_of_different              

-

-

- C.dx_series                          [?7h[?12l[?25h[?25l[?7l_prim

- C.exponent_of_different              

- C.exponent_of_different_prim         [?7h[?12l[?25h[?25l[?7lfct_field

-

- C.exponent_of_different_prim         

- C.fct_field                          [?7h[?12l[?25h[?25l[?7lunctons

-

-

- C.fct_field                          

- C.functions                          [?7h[?12l[?25h[?25l[?7lgeus

- C.genus                              

-

-

- C.functions                          [?7h[?12l[?25h[?25l[?7lrop

- C.genus                              

- C.group                              [?7h[?12l[?25h[?25l[?7lheight

-

- C.group                              

- C.height                             [?7h[?12l[?25h[?25l[?7lolomorphic_differentials_basis

-

-

- C.height                             

- C.holomorphic_differentials_basis    [?7h[?12l[?25h[?25l[?7lith_ramifaton_gp

- cohomology_of_structure_sheaf_basisexpnent_of_different              genus                 C.ith_ramification_gp                

- derhambasi      exponent_of_different_primgroup                     jumps

-<dx       fct_fieldheight   lift_o_de_rham

- dx_seris     functionholomorphic_differentials_basis C.magical_element                    [?7h[?12l[?25h[?25l[?7ljumps

- C.ith_ramification_gp                

- C.jumps                              [?7h[?12l[?25h[?25l[?7llift_to_de_rham

-

- C.jumps                              

- C.lift_to_de_rham                    [?7h[?12l[?25h[?25l[?7lmagicalelement

-

-

- C.lift_to_de_rham                    

- C.magical_element                    [?7h[?12l[?25h[?25l[?7lnb_of_pts_at_infty

-expnent_of_different              genus                ith_ramification_gp C.nb_of_pts_at_infty                 

-exponent_of_different_primgroup                     jumpsprec 

-fct_fieldheight   lift_o_de_rhampseudo_magical_element

-functionholomorphic_differentials_basismagical_element                 C.quotient                           [?7h[?12l[?25h[?25l[?7lprec

- C.nb_of_pts_at_infty                 

- C.prec                               [?7h[?12l[?25h[?25l[?7lsudo_magical_element

-

- C.prec                               

- C.pseudo_magical_element             [?7h[?12l[?25h[?25l[?7lquotient

-

-

- C.pseudo_magical_element             

- C.quotient                           [?7h[?12l[?25h[?25l[?7lramification_jumps

-genus                ith_ramification_gpnb_of_pts_at_nfty  C.ramification_jumps                 

-group                     jumpsprec uniformizer

-height   lift_o_de_rhampseudo_magical_elementx                     

-holomorphic_differentials_basismagical_element                quotient        C.x_series                           [?7h[?12l[?25h[?25l[?7luniformizer

- C.ramification_jumps                 

- C.uniformizer                        [?7h[?12l[?25h[?25l[?7lx

-

- C.uniformizer                        

- C.x                                  [?7h[?12l[?25h[?25l[?7l_series

-

-

- C.x                                  

- C.x_series                           [?7h[?12l[?25h[?25l[?7ly

-ith_ramification_gpnb_of_pts_at_nfty ramiicationjumps C.y                                   

-jumpsprec uniformizery_series    

-lift_o_de_rhampseudo_magical_elementx                     z 

-magical_element                quotient       x_series C.z_series                            
[?7h[?12l[?25h[?25l[?7l_series

- C.y                                  

- C.y_series                           [?7h[?12l[?25h[?25l[?7lz

-

- C.y_series                           

- C.z                                  [?7h[?12l[?25h[?25l[?7l_series

-

-

- C.z                                  

- C.z_series                           [?7h[?12l[?25h[?25l[?7l

- a_most_poles      cohmology_of_structure_sheaf_basisexponent_of_differentgenus 

- at_most_poles_formsde_rham_basisexponent_of_different_primgroup    

- basering      dx                    fct_fieldheight>

- characteristic dx_seriesfunctons C.holomorphic_differentials_basis     

-[?7h[?12l[?25h[?25l[?7lat_most_poles

- C.at_most_poles                      

-

-

-

- <unknown> [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lcohomology_of_structure_sheaf_basis

- C.at_most_poles                       C.cohomology_of_structure_sheaf_basis[?7h[?12l[?25h[?25l[?7lexpnent_of_different

- C.cohomology_of_structure_sheaf_basis C.exponent_of_different              [?7h[?12l[?25h[?25l[?7lgenus

- C.exponent_of_different               C.genus                              [?7h[?12l[?25h[?25l[?7lith_ramification_gp

- cohomology_of_structure_sheaf_basisexpnent_of_different              genus                ith_ramification_gp

- derhambasi      exponent_of_different_primgroup                     jumps

-<dx       fct_fieldheight   lift_o_de_rham

- dx_seris     functionholomorphic_differentials_basismagical_element                [?7h[?12l[?25h[?25l[?7lnb_of_pts_at_nfty

-expnent_of_different              genus                ith_ramification_gpnb_of_pts_at_nfty 

-exponent_of_different_primgroup                     jumpsprec 

-fct_fieldheight   lift_o_de_rhampseudo_magical_element

-functionholomorphic_differentials_basismagical_element                quotient       [?7h[?12l[?25h[?25l[?7lramiicationjumps

-genus                ith_ramification_gpnb_of_pts_at_nfty ramiicationjumps

-group                     jumpsprec uniformizer

-height   lift_o_de_rhampseudo_magical_elementx                     

-holomorphic_differentials_basismagical_element                quotient       x_series[?7h[?12l[?25h[?25l[?7ly

-ith_ramification_gpnb_of_pts_at_nfty ramiicationjumpsy                  

-jumpsprec uniformizery_series    

-lift_o_de_rhampseudo_magical_elementx                     z 

-magical_element                quotient       x_seriesz 
[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lramification_jumps

- C.ramification_jumps                  C.y                                  [?7h[?12l[?25h[?25l[?7luniformizer

- C.ramification_jumps                 

- C.uniformizer                        [?7h[?12l[?25h[?25l[?7lx

-

- C.uniformizer                        

- C.x                                  [?7h[?12l[?25h[?25l[?7lpseudo_magical_element

-

-

- C.pseudo_magical_element              C.x                                  [?7h[?12l[?25h[?25l[?7lquotient

-

-

- C.pseudo_magical_element             

- C.quotient                           [?7h[?12l[?25h[?25l[?7lpseudo_magical_element

-

-

- C.pseudo_magical_element             

- C.quotient                           [?7h[?12l[?25h[?25l[?7lrc

-

- C.prec                               

- C.pseudo_magical_element             [?7h[?12l[?25h[?25l[?7lnb_of_pts_at_infty

- C.nb_of_pts_at_infty                 

- C.prec                               [?7h[?12l[?25h[?25l[?7lith_ramificaton_gp

- C.ith_ramification_gp                 C.nb_of_pts_at_infty                 [?7h[?12l[?25h[?25l[?7ljumps

- C.ith_ramification_gp                

- C.jumps                              [?7h[?12l[?25h[?25l[?7llift_to_de_rham

-

- C.jumps                              

- C.lift_to_de_rham                    [?7h[?12l[?25h[?25l[?7lmagicalelement

-

-

- C.lift_to_de_rham                    

- C.magical_element                    [?7h[?12l[?25h[?25l[?7lholomorphic_differentials_basis

-genus              ith_ramificaton_gpnb_o_pts_atinftyramification_jumps 

-groupjumpsprec       uniformizer 

-heigh         lift_to_de_rham       pseudo_magical_elementx>

-holomorphic_differentials_basismagical_elementquotientx 
[?7h[?12l[?25h[?25l[?7leight

-

-

- C.height                             

- C.holomorphic_differentials_basis    [?7h[?12l[?25h[?25l[?7lgroup

-

- C.group                              

- C.height                             [?7h[?12l[?25h[?25l[?7lens

- C.genus                              

- C.group                              [?7h[?12l[?25h[?25l[?7lexponent_of_different

-exponent_of_differentgenus              ith_ramificaton_gpnb_o_pts_atinfty

-exponent_of_different_primgroupjumpsprec       

-fct_fieldheigh         lift_to_de_rham       pseudo_magical_element

-functions                      holomorphic_differentials_basismagical_elementquotient[?7h[?12l[?25h[?25l[?7l_prim

- C.exponent_of_different              

- C.exponent_of_different_prim         [?7h[?12l[?25h[?25l[?7lfct_field

-

- C.exponent_of_different_prim         

- C.fct_field                          [?7h[?12l[?25h[?25l[?7lunctons

-

-

- C.fct_field                          

- C.functions                          [?7h[?12l[?25h[?25l[?7ldx_serie

-cohmology_of_structure_sheaf_basisexponent_of_differentgenus              ith_ramificaton_gp

-de_rham_basis             exponent_of_different_primgroupjumps

-dx       fct_fieldheigh         lift_to_de_rham       

-dx_seriefunctions                      holomorphic_differentials_basismagical_element[?7h[?12l[?25h[?25l[?7lcharactristic

- at_most_poles                      cohmology_of_structure_sheaf_basisexponent_of_differentgenus              

- atmostpole_formsde_rham_basis             exponent_of_different_primgroup

- base_ringdx       fct_fieldheigh         

- charactristicdx_seriefunctions                      holomorphic_differentials_basis[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l

-

-

-

-

-[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[[1 2]
-[0 1]]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lsage: 

-

- [?7h[?12l[?25h[?25l[?7lIntegers(9)(-7/2)[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lg[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l9)(-7/2)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l/2)[?7h[?12l[?25h[?25l[?7l/2)[?7h[?12l[?25h[?25l[?7l5/2)[?7h[?12l[?25h[?25l[?7lsage: Integers(9)(5/2)

-[?7h[?12l[?25h[?2004l[?7h7
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l7[?7h[?12l[?25h[?25l[?7l%[?7h[?12l[?25h[?25l[?7l3[?7h[?12l[?25h[?25l[?7lsage: 7%3

-[?7h[?12l[?25h[?2004l[?7h1
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ sa
-bash: sa: command not found
-]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ gesage
-┌────────────────────────────────────────────────────────────────────┐
-│ SageMath version 9.7, Release Date: 2022-09-19                     │
-│ Using Python 3.10.5. Type "help()" for help.                       │
-└────────────────────────────────────────────────────────────────────┘
-]0;IPython: DeRhamComputation/sage[?2004h[?1l[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ sage
-┌────────────────────────────────────────────────────────────────────┐
-│ SageMath version 9.7, Release Date: 2022-09-19                     │
-│ Using Python 3.10.5. Type "help()" for help.                       │
-└────────────────────────────────────────────────────────────────────┘
-]0;IPython: DeRhamComputation/sage[?2004h[?1l[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7llista2 = [][?7h[?12l[?25h[?25l[?7load('init.sage')[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[[1 2]
-[0 1]]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7lsage: C

-[?7h[?12l[?25h[?2004l[?7h(Z/p)-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equation:
- z^3 - z = x^2
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7l.dx[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7lsage: C.x

-[?7h[?12l[?25h[?2004l[?7hx
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC.x[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lnsion_at_infty[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: C.x.expansion_at_infty()

-[?7h[?12l[?25h[?2004l[?7ht^-3 + t + t^5 + O(t^7)
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC.x.expansion_at_infty()[?7h[?12l[?25h[?25l[?7l()[[?7h[?12l[?25h[?25l[?7l-[?7h[?12l[?25h[?25l[?7l3[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7lsage: C.x.expansion_at_infty()[-3]

-[?7h[?12l[?25h[?2004l[?7h1
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC.x.expansion_at_infty()[-3][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l2][?7h[?12l[?25h[?25l[?7lsage: C.x.expansion_at_infty()[-2]

-[?7h[?12l[?25h[?2004l[?7h0
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC.x.expansion_at_infty()[-2][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l1][?7h[?12l[?25h[?25l[?7lsage: C.x.expansion_at_infty()[-1]

-[?7h[?12l[?25h[?2004l[?7h0
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC.x.expansion_at_infty()[-1][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l1][?7h[?12l[?25h[?25l[?7lsage: C.x.expansion_at_infty()[1]

-[?7h[?12l[?25h[?2004l[?7h1
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004lTraceback (most recent call last):
-
-  File /ext/sage/9.7/local/var/lib/sage/venv-python3.10.5/lib/python3.10/site-packages/IPython/core/interactiveshell.py:3398 in run_code
-    exec(code_obj, self.user_global_ns, self.user_ns)
-
-  Input In [9] in <cell line: 1>
-    load('init.sage')
-
-  File sage/misc/persist.pyx:175 in sage.misc.persist.load
-    sage.repl.load.load(filename, globals())
-
-  File /ext/sage/9.7/src/sage/repl/load.py:272 in load
-    exec(preparse_file(f.read()) + "\n", globals)
-
-  File <string>:21 in <module>
-
-  File sage/misc/persist.pyx:175 in sage.misc.persist.load
-    sage.repl.load.load(filename, globals())
-
-  File /ext/sage/9.7/src/sage/repl/load.py:272 in load
-    exec(preparse_file(f.read()) + "\n", globals)
-
-  File <string>:32
-    basis += [superelliptic_cohomology(C, Fxy(m*y**(m-j)/x**i)))]
-                                                               ^
-SyntaxError: closing parenthesis ')' does not match opening parenthesis '['
-
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[[1 2]
-[0 1]]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lsage: basis

- basis              

- basis_of_cohomology

-

-

- [?7h[?12l[?25h[?25l[?7l

- basis              

-

- <unknown> [?7h[?12l[?25h[?25l[?7l_of_cohomology

- basis              

- basis_of_cohomology[?7h[?12l[?25h[?25l[?7l

-

-

-[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: basis_of_cohomology(C)

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-AttributeError                            Traceback (most recent call last)
-Input In [11], in <cell line: 1>()
-----> 1 basis_of_cohomology(C)
-
-File <string>:18, in basis_of_cohomology(C)
-
-AttributeError: 'as_cover' object has no attribute 'exponent'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC.x.expansion_at_infty()[1][?7h[?12l[?25h[?25l[?7lsage: C

-[?7h[?12l[?25h[?2004l[?7h(Z/p)-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 3 with the equation:
- z^3 - z = x^2
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7lbasis_of_cohomology(C)[?7h[?12l[?25h[?25l[?7lsage: basis_of_cohomology(C)

-[?7h[?12l[?25h[?2004l[?7h[<__main__.superelliptic_cohomology object at 0x7f4110fc8a60>]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lbasis_of_cohomology(C)[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lbasis_of_cohomology(C)[?7h[?12l[?25h[?25l[?7lsage: basis_of_cohomology(C)

-[?7h[?12l[?25h[?2004l[?7h[[(-y)/x]]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7l.x.expansion_at_infty()[1][?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lsage: C.bas

- C.base_ring                             

- C.basis_de_rham_degrees                 

- C.basis_holomorphic_differentials_degree

-

- [?7h[?12l[?25h[?25l[?7l

-

-

-[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lh[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lmorphic_differentials_basis[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: C.holomorphic_differentials_basis()

-[?7h[?12l[?25h[?2004l[?7h[(1/y) dx]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lsage: 

-

-

- [?7h[?12l[?25h[?25l[?7lC.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lbasis_of_cohomology(C)[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004lTraceback (most recent call last):
-
-  File /ext/sage/9.7/local/var/lib/sage/venv-python3.10.5/lib/python3.10/site-packages/IPython/core/interactiveshell.py:3398 in run_code
-    exec(code_obj, self.user_global_ns, self.user_ns)
-
-  Input In [18] in <cell line: 1>
-    load('init.sage')
-
-  File sage/misc/persist.pyx:175 in sage.misc.persist.load
-    sage.repl.load.load(filename, globals())
-
-  File /ext/sage/9.7/src/sage/repl/load.py:272 in load
-    exec(preparse_file(f.read()) + "\n", globals)
-
-  File <string>:22 in <module>
-
-  File sage/misc/persist.pyx:175 in sage.misc.persist.load
-    sage.repl.load.load(filename, globals())
-
-  File /ext/sage/9.7/src/sage/repl/load.py:272 in load
-    exec(preparse_file(f.read()) + "\n", globals)
-
-  File <string>:10
-    print f.prod(omega)
-    ^
-SyntaxError: Missing parentheses in call to 'print'. Did you mean print(...)?
-
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-NameError                                 Traceback (most recent call last)
-Input In [19], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:22, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:9, in <module>
-
-NameError: name 'basis_cohomology' is not defined
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lbasis_of_cohomology(C)[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [20], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:22, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:10, in <module>
-
-File <string>:13, in prod(self, form)
-
-TypeError: unsupported operand type(s) for *: 'superelliptic_form' and 'superelliptic_cohomology'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7load('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [21], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:22, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:10, in <module>
-
-File <string>:14, in prod(self, form)
-
-File <string>:59, in __rmul__(self, constant)
-
-TypeError: unsupported operand type(s) for *: 'superelliptic_form' and 'PolynomialRing_field_with_category.element_class'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [22], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:22, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:10, in <module>
-
-File <string>:14, in prod(self, form)
-
-TypeError: superelliptic_form.expansion_at_infty() got an unexpected keyword argument 'place'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7load('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l2
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7load('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-IndexError                                Traceback (most recent call last)
-Input In [24], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:22, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:10, in <module>
-
-File <string>:14, in prod(self, form)
-
-File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:544, in sage.rings.laurent_series_ring_element.LaurentSeries.__getitem__()
-    542         return type(self)(self._parent, f, self.__n)
-    543 
---> 544     return self.__u[i - self.__n]
-    545 
-    546 def __iter__(self):
-
-File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:453, in sage.rings.power_series_poly.PowerSeries_poly.__getitem__()
-    451         return self.base_ring().zero()
-    452     else:
---> 453         raise IndexError("coefficient not known")
-    454 return self.__f[n]
-    455 
-
-IndexError: coefficient not known
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l2*t^-11 + O(t^-1)
----------------------------------------------------------------------------
-IndexError                                Traceback (most recent call last)
-Input In [25], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:22, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:10, in <module>
-
-File <string>:15, in prod(self, form)
-
-File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:544, in sage.rings.laurent_series_ring_element.LaurentSeries.__getitem__()
-    542         return type(self)(self._parent, f, self.__n)
-    543 
---> 544     return self.__u[i - self.__n]
-    545 
-    546 def __iter__(self):
-
-File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:453, in sage.rings.power_series_poly.PowerSeries_poly.__getitem__()
-    451         return self.base_ring().zero()
-    452     else:
---> 453         raise IndexError("coefficient not known")
-    454 return self.__f[n]
-    455 
-
-IndexError: coefficient not known
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7load('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l2*t^-11 + 2*t^5 + O(t^9)
-0
-2*t^-7 + 2*t^9 + O(t^13)
-0
-2*t^-3 + 2*t^13 + O(t^17)
-0
-2*t^-6 + t^10 + O(t^14)
-0
-2*t^-2 + t^14 + O(t^18)
-0
-2*t^-1 + O(t^19)
-2
-2*t^-6 + t^10 + O(t^14)
-0
-2*t^-2 + t^14 + O(t^18)
-0
-2*t^2 + t^18 + O(t^22)
-0
-2*t^-1 + O(t^19)
-2
-2*t^3 + O(t^23)
-0
-2*t^4 + t^20 + O(t^24)
-0
-2*t^-10 + t^6 + O(t^10)
-0
-2*t^-6 + t^10 + O(t^14)
-0
-2*t^-2 + t^14 + O(t^18)
-0
-2*t^-5 + O(t^15)
-0
-2*t^-1 + O(t^19)
-2
-2 + t^16 + O(t^20)
-0
-2*t^-1 + O(t^19)
-2
-2*t^3 + O(t^23)
-0
-2*t^7 + O(t^27)
-0
-2*t^4 + t^20 + O(t^24)
-0
-2*t^8 + t^24 + O(t^28)
-0
-2*t^9 + O(t^29)
-0
-2*t^-5 + O(t^15)
-0
-2*t^-1 + O(t^19)
-2
-2*t^3 + O(t^23)
-0
-2 + t^16 + O(t^20)
-0
-2*t^4 + t^20 + O(t^24)
-0
-2*t^5 + O(t^25)
-0
-2*t^-9 + O(t^11)
-0
-2*t^-5 + O(t^15)
-0
-2*t^-1 + O(t^19)
-2
-2*t^-4 + t^12 + O(t^16)
-0
-2 + t^16 + O(t^20)
-0
-2*t + O(t^21)
-0
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lsage: C

-[?7h[?12l[?25h[?2004l[?7hSuperelliptic curve with the equation y^4 = x^5 + x over Finite Field of size 3
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7l.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lholomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lsage: C.holomorphic_differentials_basis()

-[?7h[?12l[?25h[?2004l[?7h[(1/y) dx, (1/y^2) dx, (x/y^2) dx, (1/y^3) dx, (x/y^3) dx, (x^2/y^3) dx]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7l_of_pts_at_infty[?7h[?12l[?25h[?25l[?7lsage: C.nb_of_pts_at_infty

-[?7h[?12l[?25h[?2004l[?7h1
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC.nb_of_pts_at_infty[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lis[?7h[?12l[?25h[?25l[?7lis_smooth[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: C.is_smooth()

-[?7h[?12l[?25h[?2004l[?7h1
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lbasis_of_cohomology(C)[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7ls_of_cohomology(C)[?7h[?12l[?25h[?25l[?7lsage: basis_of_cohomology(C)

-[?7h[?12l[?25h[?2004l[?7h[[y^3/x], [y^3/x^2], [y^3/x^3], [y^2/x], [y^2/x^2], [y/x]]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lbasis_of_cohomology(C)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7labasis_of_cohomology(C)[0][?7h[?12l[?25h[?25l[?7l basis_of_cohomology(C)[0][?7h[?12l[?25h[?25l[?7l=basis_of_cohomology(C)[0][?7h[?12l[?25h[?25l[?7l basis_of_cohomology(C)[0][?7h[?12l[?25h[?25l[?7lsage: a = basis_of_cohomology(C)[0]

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7la = basis_of_cohomology(C)[0][?7h[?12l[?25h[?25l[?7l.squre_rot()[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lC.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7l()[[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7lsage: a.prod(C.holomorphic_differentials_basis()[0])

-[?7h[?12l[?25h[?2004l2*t^-11 + 2*t^5 + O(t^9)
-[?7h0
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7la.prod(C.holomorphic_differentials_basis()[0])[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l])[?7h[?12l[?25h[?25l[?7l1])[?7h[?12l[?25h[?25l[?7lsage: a.prod(C.holomorphic_differentials_basis()[1])

-[?7h[?12l[?25h[?2004l2*t^-6 + t^10 + O(t^14)
-[?7h0
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7la.prod(C.holomorphic_differentials_basis()[1])[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l])[?7h[?12l[?25h[?25l[?7l2])[?7h[?12l[?25h[?25l[?7lsage: a.prod(C.holomorphic_differentials_basis()[2])

-[?7h[?12l[?25h[?2004l2*t^-10 + t^6 + O(t^10)
-[?7h0
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7la.prod(C.holomorphic_differentials_basis()[2])[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l])[?7h[?12l[?25h[?25l[?7l3])[?7h[?12l[?25h[?25l[?7lsage: a.prod(C.holomorphic_differentials_basis()[3])

-[?7h[?12l[?25h[?2004l2*t^-1 + O(t^19)
-[?7h2
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC.is_smooth()[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lg[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: C.genus()

-[?7h[?12l[?25h[?2004l[?7h6
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l0
-0
-0
-0
-0
-2
-0
-0
-0
-2
-0
-0
-0
-0
-0
-0
-2
-0
-2
-0
-0
-0
-0
-0
-0
-2
-0
-0
-0
-0
-0
-0
-2
-0
-0
-0
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l0
-0
-0
-0
-0
-1
-0
-0
-0
-1
-0
-0
-0
-0
-0
-0
-1
-0
-1
-0
-0
-0
-0
-0
-0
-1
-0
-0
-0
-0
-0
-0
-1
-0
-0
-0
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lista2 = [][?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7llist[?7h[?12l[?25h[?25l[?7llista[?7h[?12l[?25h[?25l[?7l = [][?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l'[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l'[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l'[?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7l'[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l'[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7l'[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7lsage: lista = ['a', 'b', 'c']

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lfor a in lista2:[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lfor[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7lirange(0, p):[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lin[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l, f in enumerate(AS.cohomology_of_structure_sheaf_basis()):[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lin[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7lsage: for i, x in enum

- enum_affine_finite_field          enumerate_totallyreal_fields_all 

- enum_affine_rational_field        enumerate_totallyreal_fields_prim

- enumerate                         enumerate_totallyreal_fields_rel 

-

- [?7h[?12l[?25h[?25l[?7le

-

-

-[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7lenumerate[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7llist[?7h[?12l[?25h[?25l[?7llista[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l():[?7h[?12l[?25h[?25l[?7l

-....: [?7h[?12l[?25h[?25l[?7lprint(a, lista.count(a))[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lprint[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()

-....: [?7h[?12l[?25h[?25l[?7lsage: for i, x in enumerate(lista):

-....:     print(i, x)

-....: 

-[?7h[?12l[?25h[?2004l0 a
-1 b
-2 c
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7llista = ['a', 'b', 'c'][?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7load('init.sage')[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[0, 0, 0, 1, 0, 0]
-[0, 0, 0, 0, 1, 0]
-[0, 0, 0, 0, 0, 1]
-[0, 1, 0, 0, 0, 0]
-[0, 0, 1, 0, 0, 0]
-[1, 0, 0, 0, 0, 0]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[1, 0, 0, 0, 0, 0]
-[0, 1, 0, 0, 0, 0]
-[0, 0, 1, 0, 0, 0]
-[0, 0, 0, 1, 0, 0]
-[0, 0, 0, 0, 1, 0]
-[0, 0, 0, 0, 0, 1]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7load('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[1, 0, 0, 0, 0, 0]
-[0, 1, 0, 0, 0, 0]
-[0, 0, 1, 0, 0, 0]
-[0, 0, 0, 1, 0, 0]
-[0, 0, 0, 0, 1, 0]
-[0, 0, 0, 0, 0, 1]
----------------------------------------------------------------------------
-AttributeError                            Traceback (most recent call last)
-Input In [44], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:22, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:10, in <module>
-
-File <string>:59, in frobenius_matrix(C)
-
-File <string>:35, in frobenius(self)
-
-AttributeError: 'superelliptic_cohomology' object has no attribute 'base_ring'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[1, 0, 0, 0, 0, 0]
-[0, 1, 0, 0, 0, 0]
-[0, 0, 1, 0, 0, 0]
-[0, 0, 0, 1, 0, 0]
-[0, 0, 0, 0, 1, 0]
-[0, 0, 0, 0, 0, 1]
----------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [45], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:22, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:10, in <module>
-
-File <string>:59, in frobenius_matrix(C)
-
-File /ext/sage/9.7/src/sage/matrix/matrix0.pyx:1509, in sage.matrix.matrix0.Matrix.__setitem__()
-   1507     raise IndexError("value does not have the right number of rows")
-   1508 for value_row in value_list:
--> 1509     if col_list_len != len(value_row):
-   1510         raise IndexError("value does not have the right number of columns")
-   1511 
-
-TypeError: object of type 'sage.rings.finite_rings.integer_mod.IntegerMod_int' has no len()
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[1, 0, 0, 0, 0, 0]
-[0, 1, 0, 0, 0, 0]
-[0, 0, 1, 0, 0, 0]
-[0, 0, 0, 1, 0, 0]
-[0, 0, 0, 0, 1, 0]
-[0, 0, 0, 0, 0, 1]
----------------------------------------------------------------------------
-IndexError                                Traceback (most recent call last)
-Input In [46], in <cell line: 1>()
-----> 1 load('init.sage')
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:22, in <module>
-
-File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
-    173 
-    174     if sage.repl.load.is_loadable_filename(filename):
---> 175         sage.repl.load.load(filename, globals())
-    176         return
-    177 
-
-File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
-    270             add_attached_file(fpath)
-    271         with open(fpath) as f:
---> 272             exec(preparse_file(f.read()) + "\n", globals)
-    273 elif ext == '.spyx' or ext == '.pyx':
-    274     if attach:
-
-File <string>:10, in <module>
-
-File <string>:59, in frobenius_matrix(C)
-
-File <string>:29, in coordinates(self, basis, basis_holo)
-
-File <string>:14, in prod(self, form, prec)
-
-File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:544, in sage.rings.laurent_series_ring_element.LaurentSeries.__getitem__()
-    542         return type(self)(self._parent, f, self.__n)
-    543 
---> 544     return self.__u[i - self.__n]
-    545 
-    546 def __iter__(self):
-
-File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:453, in sage.rings.power_series_poly.PowerSeries_poly.__getitem__()
-    451         return self.base_ring().zero()
-    452     else:
---> 453         raise IndexError("coefficient not known")
-    454 return self.__f[n]
-    455 
-
-IndexError: coefficient not known
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[1, 0, 0, 0, 0, 0]
-[0, 1, 0, 0, 0, 0]
-[0, 0, 1, 0, 0, 0]
-[0, 0, 0, 1, 0, 0]
-[0, 0, 0, 0, 1, 0]
-[0, 0, 0, 0, 0, 1]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lM.jordan_form()[?7h[?12l[?25h[?25l[?7lsage: M

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-NameError                                 Traceback (most recent call last)
-Input In [48], in <cell line: 1>()
-----> 1 M
-
-NameError: name 'M' is not defined
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lfor i, x in enumerate(lista):[?7h[?12l[?25h[?25l[?7lrom itertools import product[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l9[?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: frobenius_matrix(C)

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-IndexError                                Traceback (most recent call last)
-Input In [49], in <cell line: 1>()
-----> 1 frobenius_matrix(C)
-
-File <string>:59, in frobenius_matrix(C, prec)
-
-File <string>:29, in coordinates(self, basis, basis_holo, prec)
-
-File <string>:14, in prod(self, form, prec)
-
-File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:544, in sage.rings.laurent_series_ring_element.LaurentSeries.__getitem__()
-    542         return type(self)(self._parent, f, self.__n)
-    543 
---> 544     return self.__u[i - self.__n]
-    545 
-    546 def __iter__(self):
-
-File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:453, in sage.rings.power_series_poly.PowerSeries_poly.__getitem__()
-    451         return self.base_ring().zero()
-    452     else:
---> 453         raise IndexError("coefficient not known")
-    454 return self.__f[n]
-    455 
-
-IndexError: coefficient not known
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lfrobenius_matrix(C)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l,)[?7h[?12l[?25h[?25l[?7l )[?7h[?12l[?25h[?25l[?7lp)[?7h[?12l[?25h[?25l[?7lr)[?7h[?12l[?25h[?25l[?7le)[?7h[?12l[?25h[?25l[?7lc)[?7h[?12l[?25h[?25l[?7l-)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l=)[?7h[?12l[?25h[?25l[?7l5)[?7h[?12l[?25h[?25l[?7l0)[?7h[?12l[?25h[?25l[?7lsage: frobenius_matrix(C, prec=50)

-[?7h[?12l[?25h[?2004l[?7h[0 0 0 1 0 0]
-[0 0 1 0 0 0]
-[0 1 0 0 0 0]
-[0 0 0 0 0 0]
-[0 0 0 0 0 0]
-[1 0 0 0 0 0]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lfrobenius_matrix(C, prec=50)[?7h[?12l[?25h[?25l[?7l(),[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC.genus()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lsuper[?7h[?12l[?25h[?25l[?7lsupere[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7lv[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l2[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l^[?7h[?12l[?25h[?25l[?7l3[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l-[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: C = superelliptic_curve(2, x^3 - x)

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-NameError                                 Traceback (most recent call last)
-Input In [51], in <cell line: 1>()
-----> 1 C = superelliptic_curve(Integer(2), x**Integer(3) - x)
-
-NameError: name 'superelliptic_curve' is not defined
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC = superelliptic_curve(2, x^3 - x)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(2, x^3 - x)[?7h[?12l[?25h[?25l[?7l(2, x^3 - x)[?7h[?12l[?25h[?25l[?7l(2, x^3 - x)[?7h[?12l[?25h[?25l[?7l(2, x^3 - x)[?7h[?12l[?25h[?25l[?7l(2, x^3 - x)[?7h[?12l[?25h[?25l[?7l(2, x^3 - x)[?7h[?12l[?25h[?25l[?7lsage: C = superelliptic(2, x^3 - x)

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_element.pyx:2441, in sage.rings.polynomial.polynomial_element.Polynomial.__pow__()
-   2440 try:
--> 2441     right = Integer(right)
-   2442 except TypeError:
-
-File /ext/sage/9.7/src/sage/rings/integer.pyx:658, in sage.rings.integer.Integer.__init__()
-    657 if otmp is not None:
---> 658     set_from_Integer(self, otmp(the_integer_ring))
-    659     return
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_element.pyx:1390, in sage.rings.polynomial.polynomial_element.Polynomial._scalar_conversion()
-   1389 if self.degree() > 0:
--> 1390     raise TypeError("cannot convert nonconstant polynomial")
-   1391 return R(self.get_coeff_c(0))
-
-TypeError: cannot convert nonconstant polynomial
-
-During handling of the above exception, another exception occurred:
-
-TypeError                                 Traceback (most recent call last)
-Input In [52], in <cell line: 1>()
-----> 1 C = superelliptic(Integer(2), x**Integer(3) - x)
-
-File <string>:19, in __init__(self, f, m)
-
-File <string>:13, in __init__(self, C, g)
-
-File <string>:188, in reduction(C, g)
-
-File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_element.pyx:2443, in sage.rings.polynomial.polynomial_element.Polynomial.__pow__()
-   2441         right = Integer(right)
-   2442     except TypeError:
--> 2443         raise TypeError("non-integral exponents not supported")
-   2444 
-   2445 d = self.degree()
-
-TypeError: non-integral exponents not supported
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC = superelliptic(2, x^3 - x)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lx^3 - x)[?7h[?12l[?25h[?25l[?7lx^3 - x)[?7h[?12l[?25h[?25l[?7lx^3 - x)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l,)[?7h[?12l[?25h[?25l[?7l )[?7h[?12l[?25h[?25l[?7l2)[?7h[?12l[?25h[?25l[?7lsage: C = superelliptic(x^3 - x, 2)

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC = superelliptic(x^3 - x, 2)[?7h[?12l[?25h[?25l[?7l.gens()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lfrobenius_matrix(C, prec=50)[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lus_matrix(C, prec=50)[?7h[?12l[?25h[?25l[?7lsage: frobenius_matrix(C, prec=50)

-[?7h[?12l[?25h[?2004l[?7h[0]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lfrobenius_matrix(C, prec=50)[?7h[?12l[?25h[?25l[?7lC = superelliptic(x^3 - x, 2)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l, 2)[?7h[?12l[?25h[?25l[?7l, 2)[?7h[?12l[?25h[?25l[?7l, 2)[?7h[?12l[?25h[?25l[?7l+, 2)[?7h[?12l[?25h[?25l[?7l , 2)[?7h[?12l[?25h[?25l[?7l1, 2)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: C = superelliptic(x^3 + 1, 2)

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lfrobenius_matrix(C, prec=50)[?7h[?12l[?25h[?25l[?7lsage: frobenius_matrix(C, prec=50)

-[?7h[?12l[?25h[?2004l[?7h[0]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lfrobenius_matrix(C, prec=50)[?7h[?12l[?25h[?25l[?7lC = superelliptic(x^3 + 1, 2)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l, 2)[?7h[?12l[?25h[?25l[?7lx, 2)[?7h[?12l[?25h[?25l[?7l , 2)[?7h[?12l[?25h[?25l[?7l+, 2)[?7h[?12l[?25h[?25l[?7l , 2)[?7h[?12l[?25h[?25l[?7l1, 2)[?7h[?12l[?25h[?25l[?7lsage: C = superelliptic(x^3 + x + 1, 2)

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC = superelliptic(x^3 + x + 1, 2)[?7h[?12l[?25h[?25l[?7lfrobenius_matrix(C, prec=50)[?7h[?12l[?25h[?25l[?7lsage: frobenius_matrix(C, prec=50)

-[?7h[?12l[?25h[?2004l[?7h[0]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lE.local_data(2)[?7h[?12l[?25h[?25l[?7l = ElipticCurve([0, 16])[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7lEllipticCurve([0, 16])[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7lG[0, 16])[?7h[?12l[?25h[?25l[?7lF[0, 16])[?7h[?12l[?25h[?25l[?7l([0, 16])[?7h[?12l[?25h[?25l[?7l)[0, 16])[?7h[?12l[?25h[?25l[?7l()[][?7h[?12l[?25h[?25l[?7l3)[0, 16])[?7h[?12l[?25h[?25l[?7l()[][?7h[?12l[?25h[?25l[?7l,[0, 16])[?7h[?12l[?25h[?25l[?7l [0, 16])[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l])[?7h[?12l[?25h[?25l[?7l])[?7h[?12l[?25h[?25l[?7l])[?7h[?12l[?25h[?25l[?7l])[?7h[?12l[?25h[?25l[?7l])[?7h[?12l[?25h[?25l[?7l1])[?7h[?12l[?25h[?25l[?7l,])[?7h[?12l[?25h[?25l[?7l ])[?7h[?12l[?25h[?25l[?7l1])[?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: E = EllipticCurve(GF(3), [1, 1])

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lE = EllipticCurve(GF(3), [1, 1])[?7h[?12l[?25h[?25l[?7l.loca_data(2)[?7h[?12l[?25h[?25l[?7lis_goo(3)[?7h[?12l[?25h[?25l[?7lis[?7h[?12l[?25h[?25l[?7lis_[?7h[?12l[?25h[?25l[?7lsingular(2)[?7h[?12l[?25h[?25l[?7lupersingular(2)[?7h[?12l[?25h[?25l[?7lpersingular(2)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7lsage: E.is_supersingular()

-[?7h[?12l[?25h[?2004l[?7hTrue
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lE.is_supersingular()[?7h[?12l[?25h[?25l[?7l = EllipticCurve(GF(3), [1, 1])[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l])[?7h[?12l[?25h[?25l[?7l2])[?7h[?12l[?25h[?25l[?7lsage: E = EllipticCurve(GF(3), [1, 2])

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lE = EllipticCurve(GF(3), [1, 2])[?7h[?12l[?25h[?25l[?7l.is_supersingular()[?7h[?12l[?25h[?25l[?7lsage: E.is_supersingular()

-[?7h[?12l[?25h[?2004l[?7hTrue
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lE.is_supersingular()[?7h[?12l[?25h[?25l[?7l = EllipticCurve(GF(3), [1, 2])[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l])[?7h[?12l[?25h[?25l[?7l0])[?7h[?12l[?25h[?25l[?7lsage: E = EllipticCurve(GF(3), [1, 0])

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lE = EllipticCurve(GF(3), [1, 0])[?7h[?12l[?25h[?25l[?7l.is_supersingular()[?7h[?12l[?25h[?25l[?7lsage: E.is_supersingular()

-[?7h[?12l[?25h[?2004l[?7hTrue
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lE.is_supersingular()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l = EllipticCurve(GF(3), [1, 0])[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l, 0])[?7h[?12l[?25h[?25l[?7l2, 0])[?7h[?12l[?25h[?25l[?7lsage: E = EllipticCurve(GF(3), [2, 0])

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lE = EllipticCurve(GF(3), [2, 0])[?7h[?12l[?25h[?25l[?7l.is_supersingular()[?7h[?12l[?25h[?25l[?7lsage: E.is_supersingular()

-[?7h[?12l[?25h[?2004l[?7hTrue
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lE.is_supersingular()[?7h[?12l[?25h[?25l[?7l = EllipticCurve(GF(3), [2, 0])[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l])[?7h[?12l[?25h[?25l[?7l2])[?7h[?12l[?25h[?25l[?7lsage: E = EllipticCurve(GF(3), [2, 2])

-[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lE = EllipticCurve(GF(3), [2, 2])[?7h[?12l[?25h[?25l[?7l.is_supersingular()[?7h[?12l[?25h[?25l[?7lsage: E.is_supersingular()

-[?7h[?12l[?25h[?2004l[?7hTrue
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[1, 0, 0, 0, 0, 0]
-[0, 1, 0, 0, 0, 0]
-[0, 0, 1, 0, 0, 0]
-[0, 0, 0, 1, 0, 0]
-[0, 0, 0, 0, 1, 0]
-[0, 0, 0, 0, 0, 1]
-[0 0 0 1 0 0]
-[0 0 1 0 0 0]
-[0 1 0 0 0 0]
-[0 0 0 0 0 0]
-[0 0 0 0 0 0]
-[1 0 0 0 0 0]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7load('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[0]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[5]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[5]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lkronecker_symbol(7, 8)[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lel[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lfrobenius_matrix(C, prec=50)[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lsage: frobenius_

- frobenius_kernel

- frobenius_matrix

-

-

- [?7h[?12l[?25h[?25l[?7lmatrix(C, prec=50)[?7h[?12l[?25h[?25l[?7lkernel

- frobenius_kernel

-

- <unknown> [?7h[?12l[?25h[?25l[?7l

-

-

-[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l5[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: frobenius_kernel(C, prec=50)

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-TypeError                                 Traceback (most recent call last)
-Input In [73], in <cell line: 1>()
-----> 1 frobenius_kernel(C, prec=Integer(50))
-
-File <string>:89, in frobenius_kernel(C, prec)
-
-File /ext/sage/9.7/src/sage/misc/functional.py:585, in symbolic_sum(expression, *args, **kwds)
-    583     return expression.sum(*args, **kwds)
-    584 elif max(len(args),len(kwds)) <= 1:
---> 585     return sum(expression, *args, **kwds)
-    586 else:
-    587     from sage.symbolic.ring import SR
-
-TypeError: unsupported operand type(s) for +: 'int' and 'superelliptic_function'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[5]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lfrobenius_kernel(C, prec=50)[?7h[?12l[?25h[?25l[?7lsage: frobenius_kernel(C, prec=50)

-[?7h[?12l[?25h[?2004l[?7h[1/x*y^3, 1/x^2*y^3]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lfrobenius_kernel(C, prec=50)[?7h[?12l[?25h[?25l[?7l().[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[].[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l().[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: frobenius_kernel(C, prec=50)[0].frobenius().coordinates()

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-AttributeError                            Traceback (most recent call last)
-Input In [76], in <cell line: 1>()
-----> 1 frobenius_kernel(C, prec=Integer(50))[Integer(0)].frobenius().coordinates()
-
-AttributeError: 'superelliptic_function' object has no attribute 'frobenius'
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[5]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lfrobenius_kernel(C, prec=50)[0].frobenius().coordinates()[?7h[?12l[?25h[?25l[?7lsage: frobenius_kernel(C, prec=50)[0].frobenius().coordinates()

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-IndexError                                Traceback (most recent call last)
-Input In [78], in <cell line: 1>()
-----> 1 frobenius_kernel(C, prec=Integer(50))[Integer(0)].frobenius().coordinates()
-
-File <string>:48, in coordinates(self, basis, basis_holo, prec)
-
-File <string>:14, in prod(self, form, prec)
-
-File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:544, in sage.rings.laurent_series_ring_element.LaurentSeries.__getitem__()
-    542         return type(self)(self._parent, f, self.__n)
-    543 
---> 544     return self.__u[i - self.__n]
-    545 
-    546 def __iter__(self):
-
-File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:453, in sage.rings.power_series_poly.PowerSeries_poly.__getitem__()
-    451         return self.base_ring().zero()
-    452     else:
---> 453         raise IndexError("coefficient not known")
-    454 return self.__f[n]
-    455 
-
-IndexError: coefficient not known
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lfrobenius_kernel(C, prec=50)[0].frobenius().coordinates()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7lp)[?7h[?12l[?25h[?25l[?7lr)[?7h[?12l[?25h[?25l[?7le)[?7h[?12l[?25h[?25l[?7lc)[?7h[?12l[?25h[?25l[?7l=)[?7h[?12l[?25h[?25l[?7l5)[?7h[?12l[?25h[?25l[?7l0)[?7h[?12l[?25h[?25l[?7lsage: frobenius_kernel(C, prec=50)[0].frobenius().coordinates(prec=50)

-[?7h[?12l[?25h[?2004l[?7h[1, 0, 0, 0, 0, 0]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lfrobenius_kernel(C, prec=50)[0].frobenius().coordinates(prec=50)[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: frobenius_kernel(C, prec=50)[0].frobenius()

-[?7h[?12l[?25h[?2004l[?7h[1/x^3*y^9]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lM[?7h[?12l[?25h[?25l[?7lsage: M

-[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
-NameError                                 Traceback (most recent call last)
-Input In [81], in <cell line: 1>()
-----> 1 M
-
-NameError: name 'M' is not defined
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[5]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lM[?7h[?12l[?25h[?25l[?7lfrobenius_kernel(C, prec=50)[0].frobenius()[?7h[?12l[?25h[?25l[?7lsage: frobenius_kernel(C, prec=50)[0].frobenius()

-[?7h[?12l[?25h[?2004l[?7h[1/x^6*y^9]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lfrobenius_kernel(C, prec=50)[0].frobenius()[?7h[?12l[?25h[?25l[?7l().coordinates(prec=50)[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ltes(prec=50)[?7h[?12l[?25h[?25l[?7lsage: frobenius_kernel(C, prec=50)[0].frobenius().coordinates(prec=50)

-[?7h[?12l[?25h[?2004l[?7h[0, 0, 0, 0, 0, 0]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lq = 5[?7h[?12l[?25h[?25l[?7luadratic_form(parity_quadratic_form(v0, q))[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: quit()

-[?7h[?12l[?25h[?2004l]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ ]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ sage
-┌────────────────────────────────────────────────────────────────────┐
-│ SageMath version 9.7, Release Date: 2022-09-19                     │
-│ Using Python 3.10.5. Type "help()" for help.                       │
-└────────────────────────────────────────────────────────────────────┘
-]0;IPython: DeRhamComputation/sage[?2004h[?1l[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

-[?7h[?12l[?25h[?2004l[5]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lfrobenius_kernel(C, prec=50)[0].frobenius().coordinates(prec=50)[?7h[?12l[?25h[?25l[?7lsage: frobenius_kernel(C, prec=50)[0].frobenius().coordinates(prec=50)

-[?7h[?12l[?25h[?2004l[?7h[0, 0, 0, 0, 0, 0]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lfrobenius_kernel(C, prec=50)[0].frobenius().coordinates(prec=50)[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7lsage: frobenius_kernel(C, prec=50)[0]

-[?7h[?12l[?25h[?2004l[?7h[1/x^2*y^3]
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC = superelliptic(x^3 + x + 1, 2)[?7h[?12l[?25h[?25l[?7l.gens()[?7h[?12l[?25h[?25l[?7ldx[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7lsage: C.dx

-[?7h[?12l[?25h[?2004l[?7h1 dx
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC.dx[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: C.dx.cartier()

-[?7h[?12l[?25h[?2004l[?7h0 dx
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(x^2+x^4)*y^2*y.diffn()[?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC.dx.cartier()[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lx.expansion_at_infty()[1][?7h[?12l[?25h[?25l[?7l*[?7h[?12l[?25h[?25l[?7lD[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(C.x*C.dx[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l().[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: (C.x*C.dx).cartier()

-[?7h[?12l[?25h[?2004l[?7h0 dx
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(C.x*C.dx).cartier()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC.dx).cartier()[?7h[?12l[?25h[?25l[?7lC.dx).cartier()[?7h[?12l[?25h[?25l[?7lC.dx).cartier()[?7h[?12l[?25h[?25l[?7l.dx).cartier()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lC.dx).cartier()[?7h[?12l[?25h[?25l[?7l.C.dx).cartier()[?7h[?12l[?25h[?25l[?7loC.dx).cartier()[?7h[?12l[?25h[?25l[?7lnC.dx).cartier()[?7h[?12l[?25h[?25l[?7leC.dx).cartier()[?7h[?12l[?25h[?25l[?7l.C.dx).cartier()[?7h[?12l[?25h[?25l[?7lC.dx).cartier()[?7h[?12l[?25h[?25l[?7l.dx).cartier()[?7h[?12l[?25h[?25l[?7lC.dx).cartier()[?7h[?12l[?25h[?25l[?7lC.dx).cartier()[?7h[?12l[?25h[?25l[?7leC.dx).cartier()[?7h[?12l[?25h[?25l[?7l/C.dx).cartier()[?7h[?12l[?25h[?25l[?7lC.dx).cartier()[?7h[?12l[?25h[?25l[?7l.C.dx).cartier()[?7h[?12l[?25h[?25l[?7lxC.dx).cartier()[?7h[?12l[?25h[?25l[?7l*C.dx).cartier()[?7h[?12l[?25h[?25l[?7lsage: (C.one/C.x*C.dx).cartier()

-[?7h[?12l[?25h[?2004l[?7h0 dx
-[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(C.one/C.x*C.dx).cartier()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lrun.term-0.term[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lv[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lfrobenius_kernel(C, prec=50)[0][?7h[?12l[?25h[?25l[?7lor i, x in eumerate(lista:[?7h[?12l[?25h[?25l[?7lfor[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l i, x in enumerate(lista):[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lin[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7lsage: for om in C.basis_

+5h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lv[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lfrobenius_kernel(C, prec=50)[0][?7h[?12l[?25h[?25l[?7lor i, x in eumerate(lista:[?7h[?12l[?25h[?25l[?7lfor[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l i, x in enumerate(lista):[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lin[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7lsage: for om in C.basis_

  C.basis_de_rham_degrees                 

  C.basis_holomorphic_differentials_degree

 

@@ -46095,4 +19383,14289 @@ Untracked files:
 	superelliptic_arbitrary_field.ipynb
 
 no changes added to commit (use "git add" and/or "git commit -a")
-]0;~/Research/2021 De Rham/DeRhamComputation~/Research/2021 De Rham/DeRhamComputation$ gigit add -
\ No newline at end of file
+]0;~/Research/2021 De Rham/DeRhamComputation~/Research/2021 De Rham/DeRhamComputation$ gigit add -u
+]0;~/Research/2021 De Rham/DeRhamComputation~/Research/2021 De Rham/DeRhamComputation$ git commit -m ""p"r"z"e"d" "d"o"d"a"n"i"e"m" "e"k"s"j"a"p"n"c""""""p"a"n"s"j"i" "w" "d"o"w"o"l"n"y"m" "p"u"n"k"c"i"e"
+[master b79484b] przed dodaniem ekspansji w dowolnym punkcie
+ 6 files changed, 3072 insertions(+), 12 deletions(-)
+]0;~/Research/2021 De Rham/DeRhamComputation~/Research/2021 De Rham/DeRhamComputation$ git push
+Username for 'https://git.wmi.amu.edu.pl': jgarnek
+Password for 'https://jgarnek@git.wmi.amu.edu.pl': 
+Enumerating objects: 22, done.
+Counting objects:   4% (1/22)
Counting objects:   9% (2/22)
Counting objects:  13% (3/22)
Counting objects:  18% (4/22)
Counting objects:  22% (5/22)
Counting objects:  27% (6/22)
Counting objects:  31% (7/22)
Counting objects:  36% (8/22)
Counting objects:  40% (9/22)
Counting objects:  45% (10/22)
Counting objects:  50% (11/22)
Counting objects:  54% (12/22)
Counting objects:  59% (13/22)
Counting objects:  63% (14/22)
Counting objects:  68% (15/22)
Counting objects:  72% (16/22)
Counting objects:  77% (17/22)
Counting objects:  81% (18/22)
Counting objects:  86% (19/22)
Counting objects:  90% (20/22)
Counting objects:  95% (21/22)
Counting objects: 100% (22/22)
Counting objects: 100% (22/22), done.
+Delta compression using up to 4 threads
+Compressing objects:   8% (1/12)
Compressing objects:  16% (2/12)
Compressing objects:  25% (3/12)
Compressing objects:  33% (4/12)
Compressing objects:  41% (5/12)
Compressing objects:  50% (6/12)
Compressing objects:  58% (7/12)
Compressing objects:  66% (8/12)
Compressing objects:  75% (9/12)
Compressing objects:  83% (10/12)
Compressing objects:  91% (11/12)
Compressing objects: 100% (12/12)
Compressing objects: 100% (12/12), done.
+Writing objects:   8% (1/12)
Writing objects:  16% (2/12)
Writing objects:  25% (3/12)
Writing objects:  33% (4/12)
Writing objects:  41% (5/12)
Writing objects:  50% (6/12)
Writing objects:  58% (7/12)
Writing objects:  66% (8/12)
Writing objects:  75% (9/12)
Writing objects:  83% (10/12)
Writing objects:  91% (11/12)
Writing objects: 100% (12/12)
Writing objects: 100% (12/12), 24.44 KiB | 287.00 KiB/s, done.
+Total 12 (delta 8), reused 0 (delta 0)
+remote: . Processing 1 references
+remote: Processed 1 references in total
+To https://git.wmi.amu.edu.pl/jgarnek/DeRhamComputation.git
+   7e8546b..b79484b  master -> master
+]0;~/Research/2021 De Rham/DeRhamComputation~/Research/2021 De Rham/DeRhamComputation$ cd sage/
+]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ sage
+┌────────────────────────────────────────────────────────────────────┐
+│ SageMath version 9.7, Release Date: 2022-09-19                     │
+│ Using Python 3.10.5. Type "help()" for help.                       │
+└────────────────────────────────────────────────────────────────────┘
+]0;IPython: DeRhamComputation/sage[?2004h[?1l[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l1 1
+4 + 2*t^2 + 4*t^4 + 3*t^10 + 4*t^12 + 3*t^14 + 2*t^20 + t^22 + 2*t^24 + t^30 + 3*t^32 + t^34 + t^50 + 3*t^52 + t^54 + 2*t^60 + t^62 + 2*t^64 + 3*t^70 + 4*t^72 + 3*t^74 + 4*t^80 + 2*t^82 + 4*t^84
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l1 1
+4 + 2*t^2 + 4*t^4 + 3*t^10 + 4*t^12 + 3*t^14 + 2*t^20 + t^22 + 2*t^24 + t^30 + 3*t^32 + t^34 + t^50 + 3*t^52 + t^54 + 2*t^60 + t^62 + 2*t^64 + 3*t^70 + 4*t^72 + 3*t^74 + 4*t^80 + 2*t^82 + 4*t^84
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l1 1
+4 + 2*t^2 + 4*t^4 + 3*t^10 + 4*t^12 + 3*t^14 + 2*t^20 + t^22 + 2*t^24 + t^30 + 3*t^32 + t^34 + t^50 + 3*t^52 + t^54 + 2*t^60 + t^62 + 2*t^64 + 3*t^70 + 4*t^72 + 3*t^74 + 4*t^80 + 2*t^82 + 4*t^84
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7l.nb_of_pts_at_infty[?7h[?12l[?25h[?25l[?7ldx.valuation()[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(C.dx[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()>[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l().[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l-[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7lsage: (C.dx).expansion((-1, 0))

+[?7h[?12l[?25h[?2004l[?7h4*t + t^3 + 3*t^11 + 2*t^13 + 2*t^21 + 3*t^23 + t^31 + 4*t^33 + t^51 + 4*t^53 + 2*t^61 + 3*t^63 + 3*t^71 + 2*t^73 + 4*t^81 + t^83
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(C.dx).expansion((-1, 0))[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lx).expansion(-1, 0)[?7h[?12l[?25h[?25l[?7lsage: (C.x).expansion((-1, 0))

+[?7h[?12l[?25h[?2004l[?7h4 + 2*t^2 + 4*t^4 + 3*t^10 + 4*t^12 + 3*t^14 + 2*t^20 + t^22 + 2*t^24 + t^30 + 3*t^32 + t^34 + t^50 + 3*t^52 + t^54 + 2*t^60 + t^62 + 2*t^64 + 3*t^70 + 4*t^72 + 3*t^74 + 4*t^80 + 2*t^82 + 4*t^84
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lreduction(C2, y^2*a.omega0.h1)/y^2[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lg[?7h[?12l[?25h[?25l[?7lrange[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l3[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l2range(0, 3)[?7h[?12l[?25h[?25l[?7l range(0, 3)[?7h[?12l[?25h[?25l[?7lirange(0, 3)[?7h[?12l[?25h[?25l[?7lnrange(0, 3)[?7h[?12l[?25h[?25l[?7lin range(0, 3)[?7h[?12l[?25h[?25l[?7lsage: 2 in range(0, 3)

+[?7h[?12l[?25h[?2004l[?7hTrue
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lreduction(C2, y^2*a.omega0.h1)/y^2[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lg[?7h[?12l[?25h[?25l[?7lrange[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l3[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lirange(0, 3)[?7h[?12l[?25h[?25l[?7lsrange(0, 3)[?7h[?12l[?25h[?25l[?7lirange(0, 3)[?7h[?12l[?25h[?25l[?7lnrange(0, 3)[?7h[?12l[?25h[?25l[?7lsrange(0, 3)[?7h[?12l[?25h[?25l[?7ltrange(0, 3)[?7h[?12l[?25h[?25l[?7larange(0, 3)[?7h[?12l[?25h[?25l[?7lnrange(0, 3)[?7h[?12l[?25h[?25l[?7lcrange(0, 3)[?7h[?12l[?25h[?25l[?7lerange(0, 3)[?7h[?12l[?25h[?25l[?7lisinstance(range(0, 3)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(),[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7llist[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: isinstance(range(0, 3), list)

+[?7h[?12l[?25h[?2004l[?7hFalse
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lisinstance(range(0, 3), list)[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7llis[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lisinstanc(range(0, 3))[?7h[?12l[?25h[?25l[?7l(range(0, 3))[?7h[?12l[?25h[?25l[?7l(range(0, 3))[?7h[?12l[?25h[?25l[?7l(range(0, 3))[?7h[?12l[?25h[?25l[?7l(range(0, 3))[?7h[?12l[?25h[?25l[?7l(range(0, 3))[?7h[?12l[?25h[?25l[?7l(range(0, 3))[?7h[?12l[?25h[?25l[?7lis(range(0, 3))[?7h[?12l[?25h[?25l[?7li(range(0, 3))[?7h[?12l[?25h[?25l[?7l(range(0, 3))[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ll(range(0, 3))[?7h[?12l[?25h[?25l[?7li(range(0, 3))[?7h[?12l[?25h[?25l[?7ls(range(0, 3))[?7h[?12l[?25h[?25l[?7llist(range(0, 3))[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: list(range(0, 3))

+[?7h[?12l[?25h[?2004l[?7h[0, 1, 2]
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7lsage: C

+[?7h[?12l[?25h[?2004l[?7hSuperelliptic curve with the equation y^2 = x^3 + 1 over Finite Field of size 5
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7llist(range(0, 3))[?7h[?12l[?25h[?25l[?7load'iit.sage'[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l1 1
+4 + 2*t^2 + 4*t^4 + 3*t^10 + 4*t^12 + 3*t^14 + 2*t^20 + t^22 + 2*t^24 + t^30 + 3*t^32 + t^34 + t^50 + 3*t^52 + t^54 + 2*t^60 + t^62 + 2*t^64 + 3*t^70 + 4*t^72 + 3*t^74 + 4*t^80 + 2*t^82 + 4*t^84
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS3.nb_of_pts_at_infty[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l = as_cover(C, [(C.x)^3 + (C.x)^5, (C.x) + (C.x)^7], prec = 50)[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7las_cover(C, [(C.x)^3 + (C.x)^5, (C.x) + (C.x)^7], prec = 50)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l], prec = 50)[?7h[?12l[?25h[?25l[?7l], prec = 50)[?7h[?12l[?25h[?25l[?7l], prec = 50)[?7h[?12l[?25h[?25l[?7l], prec = 50)[?7h[?12l[?25h[?25l[?7l], prec = 50)[?7h[?12l[?25h[?25l[?7l], prec = 50)[?7h[?12l[?25h[?25l[?7l], prec = 50)[?7h[?12l[?25h[?25l[?7l], prec = 50)[?7h[?12l[?25h[?25l[?7l], prec = 50)[?7h[?12l[?25h[?25l[?7l], prec = 50)[?7h[?12l[?25h[?25l[?7l], prec = 50)[?7h[?12l[?25h[?25l[?7l], prec = 50)[?7h[?12l[?25h[?25l[?7l], prec = 50)[?7h[?12l[?25h[?25l[?7l], prec = 50)[?7h[?12l[?25h[?25l[?7l], prec = 50)[?7h[?12l[?25h[?25l[?7l], prec = 50)[?7h[?12l[?25h[?25l[?7l], prec = 50)[?7h[?12l[?25h[?25l[?7l], prec = 50)[?7h[?12l[?25h[?25l[?7l], prec = 50)[?7h[?12l[?25h[?25l[?7l], prec = 50)[?7h[?12l[?25h[?25l[?7l], prec = 50)[?7h[?12l[?25h[?25l[?7l], prec = 50)[?7h[?12l[?25h[?25l[?7l], prec = 50)[?7h[?12l[?25h[?25l[?7l], prec = 50)[?7h[?12l[?25h[?25l[?7l], prec = 50)[?7h[?12l[?25h[?25l[?7l], prec = 50)[?7h[?12l[?25h[?25l[?7l], prec = 50)[?7h[?12l[?25h[?25l[?7l], prec = 50)[?7h[?12l[?25h[?25l[?7l], prec = 50)[?7h[?12l[?25h[?25l[?7l], prec = 50)[?7h[?12l[?25h[?25l[?7l], prec = 50)[?7h[?12l[?25h[?25l[?7l], prec = 50)[?7h[?12l[?25h[?25l[?7l], prec = 50)[?7h[?12l[?25h[?25l[?7l], prec = 50)[?7h[?12l[?25h[?25l[?7l], prec = 50)[?7h[?12l[?25h[?25l[?7l], prec = 50)[?7h[?12l[?25h[?25l[?7l[], prec = 50)[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l [], prec = 50)[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l(], prec = 50)[?7h[?12l[?25h[?25l[?7l)], prec = 50)[?7h[?12l[?25h[?25l[?7l[()][?7h[?12l[?25h[?25l[?7lC)], prec = 50)[?7h[?12l[?25h[?25l[?7l.)], prec = 50)[?7h[?12l[?25h[?25l[?7lx)], prec = 50)[?7h[?12l[?25h[?25l[?7l+)], prec = 50)[?7h[?12l[?25h[?25l[?7lC)], prec = 50)[?7h[?12l[?25h[?25l[?7l.)], prec = 50)[?7h[?12l[?25h[?25l[?7lo)], prec = 50)[?7h[?12l[?25h[?25l[?7ln)], prec = 50)[?7h[?12l[?25h[?25l[?7le)], prec = 50)[?7h[?12l[?25h[?25l[?7l[()][?7h[?12l[?25h[?25l[?7l^], prec = 50)[?7h[?12l[?25h[?25l[?7l(], prec = 50)[?7h[?12l[?25h[?25l[?7l)], prec = 50)[?7h[?12l[?25h[?25l[?7l[()][?7h[?12l[?25h[?25l[?7l0)], prec = 50)[?7h[?12l[?25h[?25l[?7l1)], prec = 50)[?7h[?12l[?25h[?25l[?7l)], prec = 50)[?7h[?12l[?25h[?25l[?7l)], prec = 50)[?7h[?12l[?25h[?25l[?7l-)], prec = 50)[?7h[?12l[?25h[?25l[?7l1)], prec = 50)[?7h[?12l[?25h[?25l[?7l[()][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l,)[?7h[?12l[?25h[?25l[?7l )[?7h[?12l[?25h[?25l[?7lb)[?7h[?12l[?25h[?25l[?7lr)[?7h[?12l[?25h[?25l[?7la)[?7h[?12l[?25h[?25l[?7ln)[?7h[?12l[?25h[?25l[?7lc)[?7h[?12l[?25h[?25l[?7lh)[?7h[?12l[?25h[?25l[?7l_)[?7h[?12l[?25h[?25l[?7lp)[?7h[?12l[?25h[?25l[?7lo)[?7h[?12l[?25h[?25l[?7li)[?7h[?12l[?25h[?25l[?7ln)[?7h[?12l[?25h[?25l[?7lt)[?7h[?12l[?25h[?25l[?7ls)[?7h[?12l[?25h[?25l[?7l )[?7h[?12l[?25h[?25l[?7l=)[?7h[?12l[?25h[?25l[?7l )[?7h[?12l[?25h[?25l[?7l[)[?7h[?12l[?25h[?25l[?7l])[?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l(])[?7h[?12l[?25h[?25l[?7l)])[?7h[?12l[?25h[?25l[?7l[()][?7h[?12l[?25h[?25l[?7l-)])[?7h[?12l[?25h[?25l[?7l1)])[?7h[?12l[?25h[?25l[?7l,)])[?7h[?12l[?25h[?25l[?7l )])[?7h[?12l[?25h[?25l[?7l9)])[?7h[?12l[?25h[?25l[?7l)])[?7h[?12l[?25h[?25l[?7l0)])[?7h[?12l[?25h[?25l[?7l[()][?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: AS = as_cover(C, [(C.x+C.one)^(-1)], prec = 50, branch_points = [(-1, 0)])

+[?7h[?12l[?25h[?2004lno  0 -th root; divide by 1
+---------------------------------------------------------------------------
+ValueError                                Traceback (most recent call last)
+Input In [11], in <cell line: 1>()
+----> 1 AS = as_cover(C, [(C.x+C.one)**(-Integer(1))], prec = Integer(50), branch_points = [(-Integer(1), Integer(0))])
+
+File <string>:45, in __init__(self, C, list_of_fcts, branch_points, prec)
+
+ValueError: not enough values to unpack (expected 4, got 2)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l{[?7h[?12l[?25h[?25l[?7l{}[?7h[?12l[?25h[?25l[?7l}[?7h[?12l[?25h[?25l[?7l'}[?7h[?12l[?25h[?25l[?7la}[?7h[?12l[?25h[?25l[?7l'}[?7h[?12l[?25h[?25l[?7l:}[?7h[?12l[?25h[?25l[?7l1}[?7h[?12l[?25h[?25l[?7l,}[?7h[?12l[?25h[?25l[?7l }[?7h[?12l[?25h[?25l[?7l2}[?7h[?12l[?25h[?25l[?7l:}[?7h[?12l[?25h[?25l[?7l'}[?7h[?12l[?25h[?25l[?7lb}[?7h[?12l[?25h[?25l[?7l'}[?7h[?12l[?25h[?25l[?7l}[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: lll = {'a':1, 2:'b'}

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7llll = {'a':1, 2:'b'}[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l'[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l'[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7lsage: lll['a']

+[?7h[?12l[?25h[?2004l[?7h1
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7llll['a'][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l'][?7h[?12l[?25h[?25l[?7lb'][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: lll['b']

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+KeyError                                  Traceback (most recent call last)
+Input In [14], in <cell line: 1>()
+----> 1 lll['b']
+
+KeyError: 'b'
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7llll['b'][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l2][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: lll[2]

+[?7h[?12l[?25h[?2004l[?7h'b'
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7lor a in xi.coordinates():[?7h[?12l[?25h[?25l[?7lfor[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lin[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7l:[?7h[?12l[?25h[?25l[?7lsage: for a in lll:

+....: [?7h[?12l[?25h[?25l[?7lprint(lift(a))[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lprint[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l....:     print(a)

+....: [?7h[?12l[?25h[?25l[?7lsage: for a in lll:

+....:     print(a)

+....: 

+[?7h[?12l[?25h[?2004la
+2
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7la.f[?7h[?12l[?25h[?25l[?7l = de_rham_witt_lift(A[2])[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7llll[2][?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7l = {'a':1, 2:'b'}[?7h[?12l[?25h[?25l[?7l+[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l{[?7h[?12l[?25h[?25l[?7l{}[?7h[?12l[?25h[?25l[?7l}[?7h[?12l[?25h[?25l[?7l'}[?7h[?12l[?25h[?25l[?7lc}[?7h[?12l[?25h[?25l[?7l'}[?7h[?12l[?25h[?25l[?7l:}[?7h[?12l[?25h[?25l[?7l3}[?7h[?12l[?25h[?25l[?7l}[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: lll + {'c':3}

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+TypeError                                 Traceback (most recent call last)
+Input In [17], in <cell line: 1>()
+----> 1 lll + {'c':Integer(3)}
+
+TypeError: unsupported operand type(s) for +: 'dict' and 'dict'
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7llll + {'c':3}[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7l[2][?7h[?12l[?25h[?25l[?7l'b'][?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7l'[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l3[?7h[?12l[?25h[?25l[?7lsage: lll['c'] = 3

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7llll['c'] = 3[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7lsage: lll

+[?7h[?12l[?25h[?2004l[?7h{'a': 1, 2: 'b', 'c': 3}
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7llll[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7l['c'] = 3[?7h[?12l[?25h[?25l[?7l'[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7l'[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l2[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l3[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7lsage: lll['d'] = [1, 2, 3]

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7llll['d'] = [1, 2, 3][?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7lsage: lll

+[?7h[?12l[?25h[?2004l[?7h{'a': 1, 2: 'b', 'c': 3, 'd': [1, 2, 3]}
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7llll[?7h[?12l[?25h[?25l[?7load('init.sage')[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l1 1
+4 + 2*t^2 + 4*t^4 + 3*t^10 + 4*t^12 + 3*t^14 + 2*t^20 + t^22 + 2*t^24 + t^30 + 3*t^32 + t^34 + t^50 + 3*t^52 + t^54 + 2*t^60 + t^62 + 2*t^64 + 3*t^70 + 4*t^72 + 3*t^74 + 4*t^80 + 2*t^82 + 4*t^84
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lll[?7h[?12l[?25h[?25l[?7l['d'] = [1, 2, 3][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l['c'] = 3[?7h[?12l[?25h[?25l[?7l + {'c':}[?7h[?12l[?25h[?25l[?7lsage: for a in lll:

+....:     print(a)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7llll[2]

+ [?7h[?12l[?25h[?25l[?7l'b'][?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l = {'a':1, 2:'b'}[?7h[?12l[?25h[?25l[?7lAS = as_cover(C, [(C.x+C.one)^(-1)], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: AS = as_cover(C, [(C.x+C.one)^(-1)], prec = 50, branch_points = [(-1, 0)])

+[?7h[?12l[?25h[?2004lno  0 -th root; divide by 1
+---------------------------------------------------------------------------
+ValueError                                Traceback (most recent call last)
+Input In [23], in <cell line: 1>()
+----> 1 AS = as_cover(C, [(C.x+C.one)**(-Integer(1))], prec = Integer(50), branch_points = [(-Integer(1), Integer(0))])
+
+File <string>:45, in __init__(self, C, list_of_fcts, branch_points, prec)
+
+ValueError: not enough values to unpack (expected 4, got 2)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7load('init.sage')[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004lTraceback (most recent call last):
+
+  File /ext/sage/9.7/local/var/lib/sage/venv-python3.10.5/lib/python3.10/site-packages/IPython/core/interactiveshell.py:3398 in run_code
+    exec(code_obj, self.user_global_ns, self.user_ns)
+
+  Input In [24] in <cell line: 1>
+    load('init.sage')
+
+  File sage/misc/persist.pyx:175 in sage.misc.persist.load
+    sage.repl.load.load(filename, globals())
+
+  File /ext/sage/9.7/src/sage/repl/load.py:272 in load
+    exec(preparse_file(f.read()) + "\n", globals)
+
+  File <string>:7 in <module>
+
+  File sage/misc/persist.pyx:175 in sage.misc.persist.load
+    sage.repl.load.load(filename, globals())
+
+  File /ext/sage/9.7/src/sage/repl/load.py:272 in load
+    exec(preparse_file(f.read()) + "\n", globals)
+
+  File <string>:26
+    if branch_points = []:
+       ^
+SyntaxError: invalid syntax. Maybe you meant '==' or ':=' instead of '='?
+
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l1 1
+4 + 2*t^2 + 4*t^4 + 3*t^10 + 4*t^12 + 3*t^14 + 2*t^20 + t^22 + 2*t^24 + t^30 + 3*t^32 + t^34 + t^50 + 3*t^52 + t^54 + 2*t^60 + t^62 + 2*t^64 + 3*t^70 + 4*t^72 + 3*t^74 + 4*t^80 + 2*t^82 + 4*t^84
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lAS = as_cover(C, [(C.x+C.one)^(-1)], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7lsage: AS = as_cover(C, [(C.x+C.one)^(-1)], prec = 50, branch_points = [(-1, 0)])

+[?7h[?12l[?25h[?2004lno  2 -th root; divide by 3
+---------------------------------------------------------------------------
+ValueError                                Traceback (most recent call last)
+Input In [26], in <cell line: 1>()
+----> 1 AS = as_cover(C, [(C.x+C.one)**(-Integer(1))], prec = Integer(50), branch_points = [(-Integer(1), Integer(0))])
+
+File <string>:48, in __init__(self, C, list_of_fcts, branch_points, prec)
+
+ValueError: not enough values to unpack (expected 4, got 2)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(C.x+C.one)^(-1)[?7h[?12l[?25h[?25l[?7lsage: (C.x+C.one)^(-1)

+[?7h[?12l[?25h[?2004l[?7h1/(x + 1)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(C.x+C.one)^(-1)[?7h[?12l[?25h[?25l[?7l())[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l((C.x+C.one)^(-1)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l().[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l-[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[(-1, 0))[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l])[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: ((C.x+C.one)^(-1)).expansion(pt=[(-1, 0)])

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+IndexError                                Traceback (most recent call last)
+Input In [28], in <cell line: 1>()
+----> 1 ((C.x+C.one)**(-Integer(1))).expansion(pt=[(-Integer(1), Integer(0))])
+
+File <string>:144, in expansion(self, pt, prec)
+
+IndexError: list index out of range
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l((C.x+C.one)^(-1)).expansion(pt=[(-1, 0)])[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(-1, 0))[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: ((C.x+C.one)^(-1)).expansion(pt=(-1, 0))

+[?7h[?12l[?25h[?2004l[?7h3*t^-2 + 4 + 2*t^2 + t^4 + t^6 + t^8 + t^12 + 4*t^14 + 4*t^16 + 3*t^18 + 4*t^20 + 3*t^22 + 4*t^28 + 2*t^30 + 4*t^32 + O(t^48)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l((C.x+C.one)^(-1)).expansion(pt=(-1, 0))[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l3C.x+C.one)^(-1).expansion(pt=(-1, 0)[?7h[?12l[?25h[?25l[?7l*C.x+C.one)^(-1).expansion(pt=(-1, 0)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l3C.one)^(-1).expansion(pt=(-1, 0)[?7h[?12l[?25h[?25l[?7l^C.one)^(-1).expansion(pt=(-1, 0)[?7h[?12l[?25h[?25l[?7lC.one)^(-1).expansion(pt=(-1, 0)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l((C.x+C.one)^(-1)).expansion(pt=[(-1, 0)])[?7h[?12l[?25h[?25l[?7lC.x+C.one)^(-1)[?7h[?12l[?25h[?25l[?7lAS = as_cover(C, [(C.x+C.one)^(-1)], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l[()][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[()][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[()][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[()][?7h[?12l[?25h[?25l[?7l[()][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l3C.x+C.one)^(-1)], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7l*C.x+C.one)^(-1)], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l3C.one)^(-1)], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7l*C.one)^(-1)], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: AS = as_cover(C, [(3*C.x+3*C.one)^(-1)], prec = 50, branch_points = [(-1, 0)])

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+TypeError                                 Traceback (most recent call last)
+Input In [30], in <cell line: 1>()
+----> 1 AS = as_cover(C, [(Integer(3)*C.x+Integer(3)*C.one)**(-Integer(1))], prec = Integer(50), branch_points = [(-Integer(1), Integer(0))])
+
+File <string>:78, in __init__(self, C, list_of_fcts, branch_points, prec)
+
+File <string>:78, in <dictcomp>(.0)
+
+TypeError: tuple indices must be integers or slices, not tuple
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lll[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7l + {'c':3}[?7h[?12l[?25h[?25l[?7l=a1, 2:'b'}[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7l{[?7h[?12l[?25h[?25l[?7l{'a':1, 2:'b'}[?7h[?12l[?25h[?25l[?7l}[?7h[?12l[?25h[?25l[?7l{}[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(2:'b'}[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l,:'b'}[?7h[?12l[?25h[?25l[?7l :'b'}[?7h[?12l[?25h[?25l[?7l1:'b'}[?7h[?12l[?25h[?25l[?7l():'b'}[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l{}[?7h[?12l[?25h[?25l[?7l}[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: lll = {'a':1, (2, 1):'b'}

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7llll = {'a':1, (2, 1):'b'}[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7lsage: lll

+[?7h[?12l[?25h[?2004l[?7h{'a': 1, (2, 1): 'b'}
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7llll[?7h[?12l[?25h[?25l[?7load('init.sage')[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l1 1
+4 + 2*t^2 + 4*t^4 + 3*t^10 + 4*t^12 + 3*t^14 + 2*t^20 + t^22 + 2*t^24 + t^30 + 3*t^32 + t^34 + t^50 + 3*t^52 + t^54 + 2*t^60 + t^62 + 2*t^64 + 3*t^70 + 4*t^72 + 3*t^74 + 4*t^80 + 2*t^82 + 4*t^84
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lll[?7h[?12l[?25h[?25l[?7l = {'a':1, (2, 1):'b'}[?7h[?12l[?25h[?25l[?7lAS = as_cover(C, [(3*C.x+3*C.one)^(-1)], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7lsage: AS = as_cover(C, [(3*C.x+3*C.one)^(-1)], prec = 50, branch_points = [(-1, 0)])

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS = as_cover(C, [(3*C.x+3*C.one)^(-1)], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7lsage: AS

+[?7h[?12l[?25h[?2004l[?7h(Z/p)-cover of Superelliptic curve with the equation y^2 = x^3 + 1 over Finite Field of size 5 with the equation:
+ z^5 - z = 2/(x + 1)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.nb_of_pts_at_infty[?7h[?12l[?25h[?25l[?7lgenus()[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: AS.genus()

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+KeyError                                  Traceback (most recent call last)
+Input In [36], in <cell line: 1>()
+----> 1 AS.genus()
+
+File <string>:100, in genus(self)
+
+File /ext/sage/9.7/src/sage/misc/functional.py:585, in symbolic_sum(expression, *args, **kwds)
+    583     return expression.sum(*args, **kwds)
+    584 elif max(len(args),len(kwds)) <= 1:
+--> 585     return sum(expression, *args, **kwds)
+    586 else:
+    587     from sage.symbolic.ring import SR
+
+File <string>:100, in <genexpr>(.0)
+
+KeyError: 0
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l1 1
+4 + 2*t^2 + 4*t^4 + 3*t^10 + 4*t^12 + 3*t^14 + 2*t^20 + t^22 + 2*t^24 + t^30 + 3*t^32 + t^34 + t^50 + 3*t^52 + t^54 + 2*t^60 + t^62 + 2*t^64 + 3*t^70 + 4*t^72 + 3*t^74 + 4*t^80 + 2*t^82 + 4*t^84
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lAS.genus()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l = as_cover(C, [(3*C.x+3*C.one)^(-1)], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7lsage: AS = as_cover(C, [(3*C.x+3*C.one)^(-1)], prec = 50, branch_points = [(-1, 0)])

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS = as_cover(C, [(3*C.x+3*C.one)^(-1)], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.genus()[?7h[?12l[?25h[?25l[?7lg[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: AS.genus()

+[?7h[?12l[?25h[?2004l[?7h7
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7lsage: C

+[?7h[?12l[?25h[?2004l[?7hSuperelliptic curve with the equation y^2 = x^3 + 1 over Finite Field of size 5
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.genus()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lh[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lmorphic_differentials_basis[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: AS.holomorphic_differentials_basis()

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+KeyError                                  Traceback (most recent call last)
+Input In [41], in <cell line: 1>()
+----> 1 AS.holomorphic_differentials_basis()
+
+File <string>:139, in holomorphic_differentials_basis(self, threshold)
+
+File <string>:23, in expansion_at_infty(self, place)
+
+KeyError: 0
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+AttributeError                            Traceback (most recent call last)
+Input In [42], in <cell line: 1>()
+----> 1 load('init.sage')
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:29, in <module>
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:10, in <module>
+
+File <string>:318, in a_number(self)
+
+File <string>:159, in cartier_matrix(self, prec)
+
+File <string>:139, in holomorphic_differentials_basis(self, threshold)
+
+AttributeError: 'as_form' object has no attribute 'expansion'
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7loa[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+TypeError                                 Traceback (most recent call last)
+Input In [43], in <cell line: 1>()
+----> 1 load('init.sage')
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:29, in <module>
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:10, in <module>
+
+File <string>:318, in a_number(self)
+
+File <string>:159, in cartier_matrix(self, prec)
+
+File <string>:139, in holomorphic_differentials_basis(self, threshold)
+
+TypeError: as_form.expansion() got an unexpected keyword argument 'prec'
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l1 1
+4 + 2*t^2 + 4*t^4 + 3*t^10 + 4*t^12 + 3*t^14 + 2*t^20 + t^22 + 2*t^24 + t^30 + 3*t^32 + t^34 + t^50 + 3*t^52 + t^54 + 2*t^60 + t^62 + 2*t^64 + 3*t^70 + 4*t^72 + 3*t^74 + 4*t^80 + 2*t^82 + 4*t^84
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7lAS.genus()[?7h[?12l[?25h[?25l[?7l = as_cover(C, [(3*C.x+3*C.one)^(-1)], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7lsage: AS = as_cover(C, [(3*C.x+3*C.one)^(-1)], prec = 50, branch_points = [(-1, 0)])

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS = as_cover(C, [(3*C.x+3*C.one)^(-1)], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.holomorphic_differentials_basis)[?7h[?12l[?25h[?25l[?7lh[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7lomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lsage: AS.holomorphic_differentials_basis()

+[?7h[?12l[?25h[?2004lIncrease precision.
+[?7h[(1) * dx,
+ (z0) * dx,
+ (z0^2) * dx,
+ (z0^3) * dx,
+ (z0^4) * dx,
+ (1/y) * dx,
+ (z0/y) * dx,
+ (z0^2/y) * dx,
+ (z0^3/y) * dx,
+ (z0^4/y) * dx,
+ (x) * dx,
+ (x*z0) * dx,
+ (x*z0^2) * dx,
+ (x*z0^3) * dx,
+ (x*z0^4) * dx,
+ (x/y) * dx,
+ (x*z0/y) * dx,
+ (x*z0^2/y) * dx,
+ (x*z0^3/y) * dx,
+ (x*z0^4/y) * dx,
+ (x^2) * dx,
+ (x^2*z0) * dx,
+ (x^2*z0^2) * dx,
+ (x^2*z0^3) * dx,
+ (x^2*z0^4) * dx,
+ (x^2/y) * dx,
+ (x^2*z0/y) * dx,
+ (x^2*z0^2/y) * dx,
+ (x^2*z0^3/y) * dx,
+ (x^2*z0^4/y) * dx,
+ (x^3) * dx,
+ (x^3*z0) * dx,
+ (x^3*z0^2) * dx,
+ (x^3*z0^3) * dx,
+ (x^3*z0^4) * dx,
+ (x^3/y) * dx,
+ (x^3*z0/y) * dx,
+ (x^3*z0^2/y) * dx,
+ (x^3*z0^3/y) * dx,
+ (x^3*z0^4/y) * dx,
+ (x^4) * dx,
+ (x^4*z0) * dx,
+ (x^4*z0^2) * dx,
+ (x^4*z0^3) * dx,
+ (x^4*z0^4) * dx,
+ (x^4/y) * dx,
+ (x^4*z0/y) * dx,
+ (x^4*z0^2/y) * dx,
+ (x^4*z0^3/y) * dx,
+ (x^4*z0^4/y) * dx,
+ (x^5) * dx,
+ (x^5*z0) * dx,
+ (x^5*z0^2) * dx,
+ (x^5*z0^3) * dx,
+ (x^5*z0^4) * dx,
+ (x^5/y) * dx,
+ (x^5*z0/y) * dx,
+ (x^5*z0^2/y) * dx,
+ (x^5*z0^3/y) * dx,
+ (x^5*z0^4/y) * dx,
+ (x^6) * dx,
+ (x^6*z0) * dx,
+ (x^6*z0^2) * dx,
+ (x^6*z0^3) * dx,
+ (x^6*z0^4) * dx,
+ (x^6/y) * dx,
+ (x^6*z0/y) * dx,
+ (x^6*z0^2/y) * dx,
+ (x^6*z0^3/y) * dx,
+ (x^6*z0^4/y) * dx,
+ (x^7) * dx,
+ (x^7*z0) * dx,
+ (x^7*z0^2) * dx,
+ (x^7*z0^3) * dx,
+ (x^7*z0^4) * dx,
+ (x^7/y) * dx,
+ (x^7*z0/y) * dx,
+ (x^7*z0^2/y) * dx,
+ (x^7*z0^3/y) * dx,
+ (x^7*z0^4/y) * dx,
+ (x^8) * dx,
+ (x^8*z0) * dx,
+ (x^8*z0^2) * dx,
+ (x^8*z0^3) * dx,
+ (x^8*z0^4) * dx,
+ (x^8/y) * dx,
+ (x^8*z0/y) * dx,
+ (x^8*z0^2/y) * dx,
+ (x^8*z0^3/y) * dx,
+ (x^8*z0^4/y) * dx,
+ (x^9) * dx,
+ (x^9*z0) * dx,
+ (x^9*z0^2) * dx,
+ (x^9*z0^3) * dx,
+ (x^9*z0^4) * dx,
+ (x^9/y) * dx,
+ (x^9*z0/y) * dx,
+ (x^9*z0^2/y) * dx,
+ (x^9*z0^3/y) * dx,
+ (x^9*z0^4/y) * dx,
+ (x^10) * dx,
+ (x^10*z0) * dx,
+ (x^10*z0^2) * dx,
+ (x^10*z0^3) * dx,
+ (x^10*z0^4) * dx,
+ (x^10/y) * dx,
+ (x^10*z0/y) * dx,
+ (x^10*z0^2/y) * dx,
+ (x^10*z0^3/y) * dx,
+ (x^10*z0^4/y) * dx,
+ (x^11) * dx,
+ (x^11*z0) * dx,
+ (x^11*z0^2) * dx,
+ (x^11*z0^3) * dx,
+ (x^11*z0^4) * dx,
+ (x^11/y) * dx,
+ (x^11*z0/y) * dx,
+ (x^11*z0^2/y) * dx,
+ (x^11*z0^3/y) * dx,
+ (x^11*z0^4/y) * dx,
+ (x^12) * dx,
+ (x^12*z0) * dx,
+ (x^12*z0^2) * dx,
+ (x^12*z0^3) * dx,
+ (x^12*z0^4) * dx,
+ (x^12/y) * dx,
+ (x^12*z0/y) * dx,
+ (x^12*z0^2/y) * dx,
+ (x^12*z0^3/y) * dx,
+ (x^12*z0^4/y) * dx,
+ (x^13) * dx,
+ (x^13*z0) * dx,
+ (x^13*z0^2) * dx,
+ (x^13*z0^3) * dx,
+ (x^13*z0^4) * dx,
+ (x^13/y) * dx,
+ (x^13*z0/y) * dx,
+ (x^13*z0^2/y) * dx,
+ (x^13*z0^3/y) * dx,
+ (x^13*z0^4/y) * dx,
+ (x^14) * dx,
+ (x^14*z0) * dx,
+ (x^14*z0^2) * dx,
+ (x^14*z0^3) * dx,
+ (x^14*z0^4) * dx,
+ (x^14/y) * dx,
+ (x^14*z0/y) * dx,
+ (x^14*z0^2/y) * dx,
+ (x^14*z0^3/y) * dx,
+ (x^14*z0^4/y) * dx,
+ (x^15) * dx,
+ (x^15*z0) * dx,
+ (x^15*z0^2) * dx,
+ (x^15*z0^3) * dx,
+ (x^15*z0^4) * dx,
+ (x^15/y) * dx,
+ (x^15*z0/y) * dx,
+ (x^15*z0^2/y) * dx,
+ (x^15*z0^3/y) * dx,
+ (x^15*z0^4/y) * dx,
+ (x^16) * dx,
+ (x^16*z0) * dx,
+ (x^16*z0^2) * dx,
+ (x^16*z0^3) * dx,
+ (x^16*z0^4) * dx,
+ (x^16/y) * dx,
+ (x^16*z0/y) * dx,
+ (x^16*z0^2/y) * dx,
+ (x^16*z0^3/y) * dx,
+ (x^16*z0^4/y) * dx,
+ (x^17) * dx,
+ (x^17*z0) * dx,
+ (x^17*z0^2) * dx,
+ (x^17*z0^3) * dx,
+ (x^17*z0^4) * dx,
+ (x^17/y) * dx,
+ (x^17*z0/y) * dx,
+ (x^17*z0^2/y) * dx,
+ (x^17*z0^3/y) * dx,
+ (x^17*z0^4/y) * dx,
+ (x^18) * dx,
+ (x^18*z0) * dx,
+ (x^18*z0^2) * dx,
+ (x^18*z0^3) * dx,
+ (x^18*z0^4) * dx,
+ (x^18/y) * dx,
+ (x^18*z0/y) * dx,
+ (x^18*z0^2/y) * dx,
+ (x^18*z0^3/y) * dx,
+ (x^18*z0^4/y) * dx,
+ (x^19) * dx,
+ (x^19*z0) * dx,
+ (x^19*z0^2) * dx,
+ (x^19*z0^3) * dx,
+ (x^19*z0^4) * dx,
+ (x^19/y) * dx,
+ (x^19*z0/y) * dx,
+ (x^19*z0^2/y) * dx,
+ (x^19*z0^3/y) * dx,
+ (x^19*z0^4/y) * dx,
+ (x^20) * dx,
+ (x^20*z0) * dx,
+ (x^20*z0^2) * dx,
+ (x^20*z0^3) * dx,
+ (x^20*z0^4) * dx,
+ (x^20/y) * dx,
+ (x^20*z0/y) * dx,
+ (x^20*z0^2/y) * dx,
+ (x^20*z0^3/y) * dx,
+ (x^20*z0^4/y) * dx,
+ (x^21) * dx,
+ (x^21*z0) * dx,
+ (x^21*z0^2) * dx,
+ (x^21*z0^3) * dx,
+ (x^21*z0^4) * dx,
+ (x^21/y) * dx,
+ (x^21*z0/y) * dx,
+ (x^21*z0^2/y) * dx,
+ (x^21*z0^3/y) * dx,
+ (x^21*z0^4/y) * dx,
+ (x^22) * dx,
+ (x^22*z0) * dx,
+ (x^22*z0^2) * dx,
+ (x^22*z0^3) * dx,
+ (x^22*z0^4) * dx,
+ (x^22/y) * dx,
+ (x^22*z0/y) * dx,
+ (x^22*z0^2/y) * dx,
+ (x^22*z0^3/y) * dx,
+ (x^22*z0^4/y) * dx,
+ (x^23) * dx,
+ (x^23*z0) * dx,
+ (x^23*z0^2) * dx,
+ (x^23*z0^3) * dx,
+ (x^23*z0^4) * dx,
+ (x^23/y) * dx,
+ (x^23*z0/y) * dx,
+ (x^23*z0^2/y) * dx,
+ (x^23*z0^3/y) * dx,
+ (x^23*z0^4/y) * dx]
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7l = as_cover(C, [(3*C.x+3*C.one)^(-1)], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l[()][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[()][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l0, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7l20, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7l0, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[()][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[()][?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: AS = as_cover(C, [(3*C.x+3*C.one)^(-1)], prec = 200, branch_points = [(-1, 0)])

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS = as_cover(C, [(3*C.x+3*C.one)^(-1)], prec = 200, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7l.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lsage: AS.holomorphic_differentials_basis()

+[?7h[?12l[?25h[?2004lIncrease precision.
+[?7h[(1) * dx,
+ (z0) * dx,
+ (z0^2) * dx,
+ (z0^3) * dx,
+ (z0^4) * dx,
+ (1/y) * dx,
+ (z0/y) * dx,
+ (z0^2/y) * dx,
+ (z0^3/y) * dx,
+ (z0^4/y) * dx,
+ (x) * dx,
+ (x*z0) * dx,
+ (x*z0^2) * dx,
+ (x*z0^3) * dx,
+ (x*z0^4) * dx,
+ (x/y) * dx,
+ (x*z0/y) * dx,
+ (x*z0^2/y) * dx,
+ (x*z0^3/y) * dx,
+ (x*z0^4/y) * dx,
+ (x^2) * dx,
+ (x^2*z0) * dx,
+ (x^2*z0^2) * dx,
+ (x^2*z0^3) * dx,
+ (x^2*z0^4) * dx,
+ (x^2/y) * dx,
+ (x^2*z0/y) * dx,
+ (x^2*z0^2/y) * dx,
+ (x^2*z0^3/y) * dx,
+ (x^2*z0^4/y) * dx,
+ (x^3) * dx,
+ (x^3*z0) * dx,
+ (x^3*z0^2) * dx,
+ (x^3*z0^3) * dx,
+ (x^3*z0^4) * dx,
+ (x^3/y) * dx,
+ (x^3*z0/y) * dx,
+ (x^3*z0^2/y) * dx,
+ (x^3*z0^3/y) * dx,
+ (x^3*z0^4/y) * dx,
+ (x^4) * dx,
+ (x^4*z0) * dx,
+ (x^4*z0^2) * dx,
+ (x^4*z0^3) * dx,
+ (x^4*z0^4) * dx,
+ (x^4/y) * dx,
+ (x^4*z0/y) * dx,
+ (x^4*z0^2/y) * dx,
+ (x^4*z0^3/y) * dx,
+ (x^4*z0^4/y) * dx,
+ (x^5) * dx,
+ (x^5*z0) * dx,
+ (x^5*z0^2) * dx,
+ (x^5*z0^3) * dx,
+ (x^5*z0^4) * dx,
+ (x^5/y) * dx,
+ (x^5*z0/y) * dx,
+ (x^5*z0^2/y) * dx,
+ (x^5*z0^3/y) * dx,
+ (x^5*z0^4/y) * dx,
+ (x^6) * dx,
+ (x^6*z0) * dx,
+ (x^6*z0^2) * dx,
+ (x^6*z0^3) * dx,
+ (x^6*z0^4) * dx,
+ (x^6/y) * dx,
+ (x^6*z0/y) * dx,
+ (x^6*z0^2/y) * dx,
+ (x^6*z0^3/y) * dx,
+ (x^6*z0^4/y) * dx,
+ (x^7) * dx,
+ (x^7*z0) * dx,
+ (x^7*z0^2) * dx,
+ (x^7*z0^3) * dx,
+ (x^7*z0^4) * dx,
+ (x^7/y) * dx,
+ (x^7*z0/y) * dx,
+ (x^7*z0^2/y) * dx,
+ (x^7*z0^3/y) * dx,
+ (x^7*z0^4/y) * dx,
+ (x^8) * dx,
+ (x^8*z0) * dx,
+ (x^8*z0^2) * dx,
+ (x^8*z0^3) * dx,
+ (x^8*z0^4) * dx,
+ (x^8/y) * dx,
+ (x^8*z0/y) * dx,
+ (x^8*z0^2/y) * dx,
+ (x^8*z0^3/y) * dx,
+ (x^8*z0^4/y) * dx,
+ (x^9) * dx,
+ (x^9*z0) * dx,
+ (x^9*z0^2) * dx,
+ (x^9*z0^3) * dx,
+ (x^9*z0^4) * dx,
+ (x^9/y) * dx,
+ (x^9*z0/y) * dx,
+ (x^9*z0^2/y) * dx,
+ (x^9*z0^3/y) * dx,
+ (x^9*z0^4/y) * dx,
+ (x^10) * dx,
+ (x^10*z0) * dx,
+ (x^10*z0^2) * dx,
+ (x^10*z0^3) * dx,
+ (x^10*z0^4) * dx,
+ (x^10/y) * dx,
+ (x^10*z0/y) * dx,
+ (x^10*z0^2/y) * dx,
+ (x^10*z0^3/y) * dx,
+ (x^10*z0^4/y) * dx,
+ (x^11) * dx,
+ (x^11*z0) * dx,
+ (x^11*z0^2) * dx,
+ (x^11*z0^3) * dx,
+ (x^11*z0^4) * dx,
+ (x^11/y) * dx,
+ (x^11*z0/y) * dx,
+ (x^11*z0^2/y) * dx,
+ (x^11*z0^3/y) * dx,
+ (x^11*z0^4/y) * dx,
+ (x^12) * dx,
+ (x^12*z0) * dx,
+ (x^12*z0^2) * dx,
+ (x^12*z0^3) * dx,
+ (x^12*z0^4) * dx,
+ (x^12/y) * dx,
+ (x^12*z0/y) * dx,
+ (x^12*z0^2/y) * dx,
+ (x^12*z0^3/y) * dx,
+ (x^12*z0^4/y) * dx,
+ (x^13) * dx,
+ (x^13*z0) * dx,
+ (x^13*z0^2) * dx,
+ (x^13*z0^3) * dx,
+ (x^13*z0^4) * dx,
+ (x^13/y) * dx,
+ (x^13*z0/y) * dx,
+ (x^13*z0^2/y) * dx,
+ (x^13*z0^3/y) * dx,
+ (x^13*z0^4/y) * dx,
+ (x^14) * dx,
+ (x^14*z0) * dx,
+ (x^14*z0^2) * dx,
+ (x^14*z0^3) * dx,
+ (x^14*z0^4) * dx,
+ (x^14/y) * dx,
+ (x^14*z0/y) * dx,
+ (x^14*z0^2/y) * dx,
+ (x^14*z0^3/y) * dx,
+ (x^14*z0^4/y) * dx,
+ (x^15) * dx,
+ (x^15*z0) * dx,
+ (x^15*z0^2) * dx,
+ (x^15*z0^3) * dx,
+ (x^15*z0^4) * dx,
+ (x^15/y) * dx,
+ (x^15*z0/y) * dx,
+ (x^15*z0^2/y) * dx,
+ (x^15*z0^3/y) * dx,
+ (x^15*z0^4/y) * dx,
+ (x^16) * dx,
+ (x^16*z0) * dx,
+ (x^16*z0^2) * dx,
+ (x^16*z0^3) * dx,
+ (x^16*z0^4) * dx,
+ (x^16/y) * dx,
+ (x^16*z0/y) * dx,
+ (x^16*z0^2/y) * dx,
+ (x^16*z0^3/y) * dx,
+ (x^16*z0^4/y) * dx,
+ (x^17) * dx,
+ (x^17*z0) * dx,
+ (x^17*z0^2) * dx,
+ (x^17*z0^3) * dx,
+ (x^17*z0^4) * dx,
+ (x^17/y) * dx,
+ (x^17*z0/y) * dx,
+ (x^17*z0^2/y) * dx,
+ (x^17*z0^3/y) * dx,
+ (x^17*z0^4/y) * dx,
+ (x^18) * dx,
+ (x^18*z0) * dx,
+ (x^18*z0^2) * dx,
+ (x^18*z0^3) * dx,
+ (x^18*z0^4) * dx,
+ (x^18/y) * dx,
+ (x^18*z0/y) * dx,
+ (x^18*z0^2/y) * dx,
+ (x^18*z0^3/y) * dx,
+ (x^18*z0^4/y) * dx,
+ (x^19) * dx,
+ (x^19*z0) * dx,
+ (x^19*z0^2) * dx,
+ (x^19*z0^3) * dx,
+ (x^19*z0^4) * dx,
+ (x^19/y) * dx,
+ (x^19*z0/y) * dx,
+ (x^19*z0^2/y) * dx,
+ (x^19*z0^3/y) * dx,
+ (x^19*z0^4/y) * dx,
+ (x^20) * dx,
+ (x^20*z0) * dx,
+ (x^20*z0^2) * dx,
+ (x^20*z0^3) * dx,
+ (x^20*z0^4) * dx,
+ (x^20/y) * dx,
+ (x^20*z0/y) * dx,
+ (x^20*z0^2/y) * dx,
+ (x^20*z0^3/y) * dx,
+ (x^20*z0^4/y) * dx,
+ (x^21) * dx,
+ (x^21*z0) * dx,
+ (x^21*z0^2) * dx,
+ (x^21*z0^3) * dx,
+ (x^21*z0^4) * dx,
+ (x^21/y) * dx,
+ (x^21*z0/y) * dx,
+ (x^21*z0^2/y) * dx,
+ (x^21*z0^3/y) * dx,
+ (x^21*z0^4/y) * dx,
+ (x^22) * dx,
+ (x^22*z0) * dx,
+ (x^22*z0^2) * dx,
+ (x^22*z0^3) * dx,
+ (x^22*z0^4) * dx,
+ (x^22/y) * dx,
+ (x^22*z0/y) * dx,
+ (x^22*z0^2/y) * dx,
+ (x^22*z0^3/y) * dx,
+ (x^22*z0^4/y) * dx,
+ (x^23) * dx,
+ (x^23*z0) * dx,
+ (x^23*z0^2) * dx,
+ (x^23*z0^3) * dx,
+ (x^23*z0^4) * dx,
+ (x^23/y) * dx,
+ (x^23*z0/y) * dx,
+ (x^23*z0^2/y) * dx,
+ (x^23*z0^3/y) * dx,
+ (x^23*z0^4/y) * dx]
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lde_rham_basis()[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l-[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7lsage: AS.dx.expansion(pt=(-1, 0))

+[?7h[?12l[?25h[?2004l[?7ht^17 + 2*t^25 + 3*t^33 + 4*t^41 + t^57 + 2*t^65 + 3*t^73 + 4*t^81 + t^97 + 2*t^105 + 3*t^113 + 4*t^121 + t^137 + 2*t^145 + 3*t^153 + 4*t^161 + t^177 + 2*t^185 + 3*t^193 + 4*t^201 + O(t^209)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7l.nb_of_pts_at_infty[?7h[?12l[?25h[?25l[?7lx.function[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lverschiebung()[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l-[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7lsage: C.x.expansion(pt=(-1, 0))

+[?7h[?12l[?25h[?2004l[?7h4 + 2*t^2 + 4*t^4 + 3*t^10 + 4*t^12 + 3*t^14 + 2*t^20 + t^22 + 2*t^24 + t^30 + 3*t^32 + t^34 + t^50 + 3*t^52 + t^54 + 2*t^60 + t^62 + 2*t^64 + 3*t^70 + 4*t^72 + 3*t^74 + 4*t^80 + 2*t^82 + 4*t^84
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC.x.expansion(pt=(-1, 0))[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ldx.expansion(pt=(-1, 0)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: C.dx.expansion(pt=(-1, 0))

+[?7h[?12l[?25h[?2004l[?7h4*t + t^3 + 3*t^11 + 2*t^13 + 2*t^21 + 3*t^23 + t^31 + 4*t^33 + t^51 + 4*t^53 + 2*t^61 + 3*t^63 + 3*t^71 + 2*t^73 + 4*t^81 + t^83
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l1 1
+4 + 2*t^2 + 4*t^4 + 3*t^10 + 4*t^12 + 3*t^14 + 2*t^20 + t^22 + 2*t^24 + t^30 + 3*t^32 + t^34 + t^50 + 3*t^52 + t^54 + 2*t^60 + t^62 + 2*t^64 + 3*t^70 + 4*t^72 + 3*t^74 + 4*t^80 + 2*t^82 + 4*t^84
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.dx.expansion(pt=(-1, 0))[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lC.dx.expansion(pt=(-1, 0))[?7h[?12l[?25h[?25l[?7lx.expansion(pt=(-1, 0))[?7h[?12l[?25h[?25l[?7lAS.dx.expansion(pt=(-1, 0))[?7h[?12l[?25h[?25l[?7lC.x.expansion(pt=(-1, 0))[?7h[?12l[?25h[?25l[?7ldx.expansion(pt=(-1, 0))[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.dx.expansion(pt=(-1, 0))[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lz[0]/AS.x[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7leries[?7h[?12l[?25h[?25l[?7lsage: AS.z_series

+[?7h[?12l[?25h[?2004l[?7h{(-1, 0): [t^-2]}
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.z_series[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lC.dx.expansion(pt=(-1, 0))[?7h[?12l[?25h[?25l[?7lx.expansion(pt=(-1, 0))[?7h[?12l[?25h[?25l[?7lAS.dx.expansion(pt=(-1, 0))[?7h[?12l[?25h[?25l[?7lholomorphc_differentials_basis()[?7h[?12l[?25h[?25l[?7l = as_cover(C, [(3*C.x+3*C.one)^(-1)], prec = 200, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7l.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7l = as_cover(C, [(3*C.x+3*C.one)^(-1)], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7lAS.genus()[?7h[?12l[?25h[?25l[?7l = as_cover(C, [(3*C.x+3*C.one)^(-1)], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7l.genus()[?7h[?12l[?25h[?25l[?7l = as_cover(C, [(3*C.x+3*C.one)^(-1)], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7lsage: AS = as_cover(C, [(3*C.x+3*C.one)^(-1)], prec = 50, branch_points = [(-1, 0)])

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS = as_cover(C, [(3*C.x+3*C.one)^(-1)], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7l.z_series[?7h[?12l[?25h[?25l[?7lsage: AS.z_series

+[?7h[?12l[?25h[?2004l[?7h{0: [2*t^2 + 2*t^4 + 2*t^6 + 4*t^8 + t^10 + 3*t^12 + t^14 + t^16 + 3*t^18 + t^20 + 3*t^22 + t^24 + 2*t^26 + 4*t^28 + 2*t^30 + 4*t^32 + 2*t^34 + 3*t^36 + t^38 + t^40 + t^46 + t^48 + 2*t^50 + O(t^52)],
+ (-1, 0): [t^-2]}
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(3*C.x+3*C.one)^(-1)[?7h[?12l[?25h[?25l[?7l())[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l((3*C.x+3*C.one)^(-1)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l().[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7ly[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: ((3*C.x+3*C.one)^(-1)).expansion_at_infty()

+[?7h[?12l[?25h[?2004l[?7h2*t^2 + 3*t^4 + 2*t^6 + 3*t^10 + 4*t^12 + 4*t^16 + 4*t^18 + O(t^22)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l((3*C.x+3*C.one)^(-1)).expansion_at_infty()[?7h[?12l[?25h[?25l[?7lAS.z_series[?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7lsage: AS.z_series[0]

+[?7h[?12l[?25h[?2004l[?7h[2*t^2 + 2*t^4 + 2*t^6 + 4*t^8 + t^10 + 3*t^12 + t^14 + t^16 + 3*t^18 + t^20 + 3*t^22 + t^24 + 2*t^26 + 4*t^28 + 2*t^30 + 4*t^32 + 2*t^34 + 3*t^36 + t^38 + t^40 + t^46 + t^48 + 2*t^50 + O(t^52)]
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.z_series[0][?7h[?12l[?25h[?25l[?7l[][[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7lsage: AS.z_series[0][0]

+[?7h[?12l[?25h[?2004l[?7h2*t^2 + 2*t^4 + 2*t^6 + 4*t^8 + t^10 + 3*t^12 + t^14 + t^16 + 3*t^18 + t^20 + 3*t^22 + t^24 + 2*t^26 + 4*t^28 + 2*t^30 + 4*t^32 + 2*t^34 + 3*t^36 + t^38 + t^40 + t^46 + t^48 + 2*t^50 + O(t^52)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.z_series[0][0][?7h[?12l[?25h[?25l[?7l[]^[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l5[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l-[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(3*C.x+3*C.one)^(-1)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.z_series[0][0][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l AS.z_series[0][0][?7h[?12l[?25h[?25l[?7l()AS.z_series[0][0][?7h[?12l[?25h[?25l[?7l( AS.z_series[0][0][?7h[?12l[?25h[?25l[?7l AS.z_series[0][0][?7h[?12l[?25h[?25l[?7l AS.z_series[0][0][?7h[?12l[?25h[?25l[?7l AS.z_series[0][0][?7h[?12l[?25h[?25l[?7l() AS.z_series[0][0][?7h[?12l[?25h[?25l[?7l( AS.z_series[0][0][?7h[?12l[?25h[?25l[?7l AS.z_series[0][0][?7h[?12l[?25h[?25l[?7l AS.z_series[0][0][?7h[?12l[?25h[?25l[?7l AS.z_series[0][0][?7h[?12l[?25h[?25l[?7l AS.z_series[0][0][?7h[?12l[?25h[?25l[?7l AS.z_series[0][0][?7h[?12l[?25h[?25l[?7l AS.z_series[0][0][?7h[?12l[?25h[?25l[?7l AS.z_series[0][0][?7h[?12l[?25h[?25l[?7l AS.z_series[0][0][?7h[?12l[?25h[?25l[?7l AS.z_series[0][0][?7h[?12l[?25h[?25l[?7l AS.z_series[0][0][?7h[?12l[?25h[?25l[?7l AS.z_series[0][0][?7h[?12l[?25h[?25l[?7l AS.z_series[0][0][?7h[?12l[?25h[?25l[?7l AS.z_series[0][0][?7h[?12l[?25h[?25l[?7l AS.z_series[0][0][?7h[?12l[?25h[?25l[?7lAS.z_series[0][0][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: AS.z_series[0][0]^5 - AS.z_series[0][0]

+[?7h[?12l[?25h[?2004l[?7h3*t^2 + 3*t^4 + 3*t^6 + t^8 + t^10 + 2*t^12 + 4*t^14 + 4*t^16 + 2*t^18 + t^20 + 2*t^22 + 4*t^24 + 3*t^26 + t^28 + t^32 + 3*t^34 + 2*t^36 + 4*t^38 + 3*t^40 + 4*t^46 + 4*t^48 + 4*t^50 + O(t^52)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC.dx.expansion(pt=(-1, 0))[?7h[?12l[?25h[?25l[?7lsage: C

+[?7h[?12l[?25h[?2004l[?7hSuperelliptic curve with the equation y^2 = x^3 + 1 over Finite Field of size 5
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7lAS.z_series[0][0]^5 - AS.z_series[0][0][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l((3*C.x+3*C.one)^(-1)).expansion_at_infty()[?7h[?12l[?25h[?25l[?7lAS.z_series[?7h[?12l[?25h[?25l[?7l = as_cover(C, [(3*C.x+3*C.one)^(-1)], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7l.z_series[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lC.dx.expansion(pt=(-1, 0))[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l1 1
+4 + 2*t^2 + 4*t^4 + 3*t^10 + 4*t^12 + 3*t^14 + 2*t^20 + t^22 + 2*t^24 + t^30 + 3*t^32 + t^34 + t^50 + 3*t^52 + t^54 + 2*t^60 + t^62 + 2*t^64 + 3*t^70 + 4*t^72 + 3*t^74 + 4*t^80 + 2*t^82 + 4*t^84
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7lAS.z_series[0][0]^5 - AS.z_series[0][0][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l((3*C.x+3*C.one)^(-1)).expansion_at_infty()[?7h[?12l[?25h[?25l[?7lAS.z_series[?7h[?12l[?25h[?25l[?7l = as_cover(C, [(3*C.x+3*C.one)^(-1)], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7l.z_series[?7h[?12l[?25h[?25l[?7l = as_cover(C, [(3*C.x+3*C.one)^(-1)], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7l.z_series[?7h[?12l[?25h[?25l[?7l((3*C.x+3*C.one)^(-1)).expansion_at_infty()[?7h[?12l[?25h[?25l[?7lAS.z_series[0][?7h[?12l[?25h[?25l[?7l[][0][?7h[?12l[?25h[?25l[?7l[]^5 - AS.z_series[0][0][?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7l = superelliptic(x^3 + 1, 2)[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7lsuperelliptic(x^3 + 1, 2)[?7h[?12l[?25h[?25l[?7lsage: C = superelliptic(x^3 + 1, 2)

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC = superelliptic(x^3 + 1, 2)[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7lAS.z_series[0][0]^5 - AS.z_series[0][0][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l((3*C.x+3*C.one)^(-1)).expansion_at_infty()[?7h[?12l[?25h[?25l[?7lAS.z_series[?7h[?12l[?25h[?25l[?7l = as_cover(C, [(3*C.x+3*C.one)^(-1)], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7lsage: AS = as_cover(C, [(3*C.x+3*C.one)^(-1)], prec = 50, branch_points = [(-1, 0)])

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS = as_cover(C, [(3*C.x+3*C.one)^(-1)], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7lC = superelliptic(x^3 + 1, 2)[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7lAS.z_series[0][0]^5 - AS.z_series[0][0][?7h[?12l[?25h[?25l[?7lsage: AS.z_series[0][0]^5 - AS.z_series[0][0]

+[?7h[?12l[?25h[?2004l[?7h2*t^2 + 3*t^4 + 2*t^6 + 3*t^10 + 4*t^12 + 4*t^16 + 4*t^18 + t^22 + t^30 + 4*t^34 + t^36 + 4*t^40 + 2*t^42 + t^46 + t^48 + O(t^52)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l((3*C.x+3*C.one)^(-1)).expansion_at_infty()[?7h[?12l[?25h[?25l[?7l(3*C.x+3*C.one)^(-1)[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l().expansion_at_infty()[?7h[?12l[?25h[?25l[?7lsage: ((3*C.x+3*C.one)^(-1)).expansion_at_infty()

+[?7h[?12l[?25h[?2004l[?7h2*t^2 + 3*t^4 + 2*t^6 + 3*t^10 + 4*t^12 + 4*t^16 + 4*t^18 + O(t^22)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.z_series[0][0]^5 - AS.z_series[0][0][?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lholomorphic_differential_basis()[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lmorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lsage: AS.holomorphic_differentials_basis()

+[?7h[?12l[?25h[?2004lIncrease precision.
+[?7h[(x^23*z0^4 + 2*x^23*z0^3 - x^22*z0^4 - 2*x^22*z0^3 + x^21*z0^4 + 2*x^21*z0^3 - 2*x^20*z0^4 - 2*x^20*z0^3 + x^19*z0^4 - x^19*z0^3 + x^20 + 1) * dx,
+ (2*x^23*z0^4 - 2*x^22*z0^4 + 2*x^21*z0^4 - 2*x^20*z0^4 - x^19*z0^4 - 2*x^19 + z0) * dx,
+ (z0^2) * dx,
+ (z0^3) * dx,
+ (z0^4) * dx,
+ (1/y) * dx,
+ (z0/y) * dx,
+ (z0^2/y) * dx,
+ (z0^3/y) * dx,
+ (z0^4/y) * dx,
+ (-x^23*z0^4 + x^23*z0^3 + x^22*z0^4 + x^23*z0^2 - x^22*z0^3 - 2*x^21*z0^4 - x^22*z0^2 + x^21*z0^3 + x^20*z0^4 + x^21*z0^2 + x^20*z0^3 - x^19*z0^4 - x^20*z0^2 - x^19*z0^3 + x^21 + 2*x^19*z0^2 + x) * dx,
+ (x^23*z0^4 + x^23*z0^3 - x^22*z0^4 - x^22*z0^3 + x^21*z0^4 + x^21*z0^3 + x^20*z0^4 - x^20*z0^3 - x^19*z0^4 + 2*x^19*z0^3 - 2*x^20 + 2*x^19 + x*z0) * dx,
+ (x^23*z0^4 - x^22*z0^4 + x^21*z0^4 - x^20*z0^4 + 2*x^19*z0^4 - x^19 + x*z0^2) * dx,
+ (x*z0^3) * dx,
+ (x*z0^4) * dx,
+ ((-2*x^23*z0^4 - x^23*z0^3 + 2*x^22*z0^4 + x^23*z0^2 + x^22*z0^3 + 2*x^21*z0^4 - x^22*z0^2 - x^21*z0^3 - 2*x^20*z0^4 + x^21*z0^2 - 2*x^20*z0^3 - 2*x^19*z0^4 - x^20*z0^2 + x^21 + 2*x^19*z0^2 - x^20 + x)/y) * dx,
+ (x*z0/y) * dx,
+ (x*z0^2/y) * dx,
+ (x*z0^3/y) * dx,
+ (x*z0^4/y) * dx,
+ (x^23*z0^4 + x^23*z0^3 - 2*x^22*z0^4 + 2*x^23*z0^2 - x^22*z0^3 + x^21*z0^4 - 2*x^23*z0 - 2*x^22*z0^2 - 2*x^21*z0^3 - x^20*z0^4 + 2*x^22*z0 + 2*x^21*z0^2 + 2*x^20*z0^3 + x^19*z0^4 + x^22 - 2*x^21*z0 - x^20*z0^2 - 2*x^19*z0^3 + 2*x^20*z0 + x^19*z0 + x^2) * dx,
+ (x^23*z0^4 + 2*x^23*z0^3 - x^22*z0^4 - 2*x^23*z0^2 - 2*x^22*z0^3 - 2*x^21*z0^4 + 2*x^22*z0^2 + 2*x^21*z0^3 + 2*x^20*z0^4 - 2*x^21*z0^2 - x^20*z0^3 - 2*x^19*z0^4 + 2*x^20*z0^2 - 2*x^21 + x^19*z0^2 + 2*x^20 - 2*x^19 + x^2*z0) * dx,
+ (2*x^23*z0^4 - 2*x^23*z0^3 - 2*x^22*z0^4 + 2*x^22*z0^3 + 2*x^21*z0^4 - 2*x^21*z0^3 - x^20*z0^4 + 2*x^20*z0^3 + x^19*z0^3 - x^20 + 2*x^19 + x^2*z0^2) * dx,
+ (-2*x^23*z0^4 + 2*x^22*z0^4 - 2*x^21*z0^4 + 2*x^20*z0^4 + x^19*z0^4 + 2*x^19 + x^2*z0^3) * dx,
+ (x^2*z0^4) * dx,
+ ((-x^23*z0^4 + 2*x^23*z0^3 + 2*x^23*z0^2 - 2*x^22*z0^3 - x^21*z0^4 - 2*x^23*z0 - 2*x^22*z0^2 - x^21*z0^3 - 2*x^20*z0^4 + 2*x^22*z0 + 2*x^21*z0^2 + x^20*z0^3 - x^19*z0^4 + x^22 - 2*x^21*z0 - x^20*z0^2 + 2*x^20*z0 - 2*x^20 + x^19*z0 + x^2)/y) * dx,
+ ((-x^23*z0^4 + 2*x^23*z0^3 + x^22*z0^4 - 2*x^23*z0^2 - 2*x^22*z0^3 + x^21*z0^4 + 2*x^22*z0^2 + 2*x^21*z0^3 - x^20*z0^4 - 2*x^21*z0^2 - x^20*z0^3 - x^19*z0^4 + 2*x^20*z0^2 - 2*x^21 + x^19*z0^2 + 2*x^20 + x^2*z0)/y) * dx,
+ (x^2*z0^2/y) * dx,
+ (x^2*z0^3/y) * dx,
+ (x^2*z0^4/y) * dx,
+ (-2*x^23*z0^4 + 2*x^23*z0^3 + x^22*z0^4 + x^23*z0^2 - x^21*z0^4 - 2*x^23*z0 - x^22*z0^2 + x^20*z0^4 + 2*x^22*z0 + 2*x^21*z0^2 - x^19*z0^4 + x^22 - 2*x^21*z0 + 2*x^20*z0^2 - x^21 - x^19*z0^2 + x^20 - x^19*z0 - 2*x^19 + x^3) * dx,
+ (2*x^23*z0^4 + x^23*z0^3 - 2*x^23*z0^2 - x^22*z0^3 - x^23*z0 + 2*x^22*z0^2 + 2*x^21*z0^3 + x^22*z0 - 2*x^21*z0^2 + 2*x^20*z0^3 - 2*x^22 - x^21*z0 - x^19*z0^3 + 2*x^21 + x^20*z0 - x^19*z0^2 - 2*x^20 - 2*x^19*z0 + 2*x^19 + x^3*z0) * dx,
+ (x^23*z0^4 - 2*x^23*z0^3 - x^22*z0^4 - x^23*z0^2 + 2*x^22*z0^3 + 2*x^21*z0^4 + x^22*z0^2 - 2*x^21*z0^3 + 2*x^20*z0^4 - x^21*z0^2 - x^19*z0^4 + x^20*z0^2 - x^19*z0^3 - x^21 - 2*x^19*z0^2 + 2*x^20 + 2*x^19 + x^3*z0^2) * dx,
+ (-2*x^23*z0^4 - x^23*z0^3 + 2*x^22*z0^4 + x^22*z0^3 - 2*x^21*z0^4 - x^21*z0^3 + x^20*z0^3 - x^19*z0^4 - 2*x^19*z0^3 + 2*x^20 - x^19 + x^3*z0^3) * dx,
+ (-x^23*z0^4 + x^22*z0^4 - x^21*z0^4 + x^20*z0^4 - 2*x^19*z0^4 + x^19 + x^3*z0^4) * dx,
+ ((x^23*z0^4 + 2*x^23*z0^3 - 2*x^22*z0^4 + x^23*z0^2 + 2*x^21*z0^4 - 2*x^23*z0 - x^22*z0^2 - 2*x^20*z0^4 + 2*x^22*z0 + 2*x^21*z0^2 + x^22 - 2*x^21*z0 + 2*x^20*z0^2 - x^21 - x^19*z0^2 + x^20 - x^19*z0 + x^3)/y) * dx,
+ ((-2*x^23*z0^4 - x^23*z0^3 - x^22*z0^4 - 2*x^23*z0^2 + x^22*z0^3 + x^21*z0^4 - x^23*z0 + 2*x^22*z0^2 + x^22*z0 - 2*x^21*z0^2 - x^20*z0^3 - 2*x^19*z0^4 - 2*x^22 - x^21*z0 + 2*x^21 + x^20*z0 - x^19*z0^2 + 2*x^20 - 2*x^19*z0 + x^3*z0)/y) * dx,
+ ((2*x^23*z0^4 + x^23*z0^3 - 2*x^22*z0^4 - x^23*z0^2 - x^22*z0^3 - 2*x^21*z0^4 + x^22*z0^2 + x^21*z0^3 + 2*x^20*z0^4 - x^21*z0^2 + 2*x^20*z0^3 + 2*x^19*z0^4 + x^20*z0^2 - x^21 - 2*x^19*z0^2 + x^20 + x^3*z0^2)/y) * dx,
+ (x^3*z0^3/y) * dx,
+ (x^3*z0^4/y) * dx,
+ (2*x^23*z0^4 - x^23*z0^3 - 2*x^22*z0^4 + x^22*z0^3 + 2*x^21*z0^4 + x^22*z0^2 - x^21*z0^3 - 2*x^20*z0^4 - 2*x^21*z0^2 + x^20*z0^3 - x^19*z0^4 - 2*x^21*z0 - 2*x^20*z0^2 + x^19*z0^3 + x^20*z0 + x^19*z0^2 - x^20 - 2*x^19*z0 + 2*x^19 + x^4) * dx,
+ (-x^23*z0^4 + x^22*z0^4 + x^22*z0^3 - x^21*z0^4 - 2*x^21*z0^3 + x^20*z0^4 - 2*x^21*z0^2 - 2*x^20*z0^3 + x^19*z0^4 + x^20*z0^2 + x^19*z0^3 - x^20*z0 - 2*x^19*z0^2 - x^19*z0 + x^4*z0) * dx,
+ (x^22*z0^4 - 2*x^21*z0^4 + 2*x^23*z0 - 2*x^21*z0^3 - 2*x^20*z0^4 - 2*x^22*z0 + x^20*z0^3 + x^19*z0^4 - x^22 + 2*x^21*z0 - x^20*z0^2 - 2*x^19*z0^3 + 2*x^21 - 2*x^20*z0 - x^19*z0^2 + 2*x^20 - x^19*z0 - x^19 + x^4*z0^2) * dx,
+ (2*x^23*z0^2 - 2*x^21*z0^4 - 2*x^22*z0^2 + x^20*z0^4 + 2*x^21*z0^2 - x^20*z0^3 - 2*x^19*z0^4 - 2*x^20*z0^2 - x^19*z0^3 + 2*x^21 - x^19*z0^2 - x^20 + 2*x^19 + x^4*z0^3) * dx,
+ (2*x^23*z0^3 - 2*x^22*z0^3 + 2*x^21*z0^3 - x^20*z0^4 - 2*x^20*z0^3 - x^19*z0^4 - x^19*z0^3 + x^20 + x^19 + x^4*z0^4) * dx,
+ ((x^23*z0^3 - x^22*z0^3 + x^22*z0^2 + x^21*z0^3 - x^20*z0^4 - 2*x^21*z0^2 - x^20*z0^3 - x^19*z0^4 - 2*x^21*z0 - 2*x^20*z0^2 + x^20*z0 + x^19*z0^2 - 2*x^19*z0 + x^4)/y) * dx,
+ ((2*x^23*z0^3 - x^22*z0^3 - x^20*z0^4 - 2*x^21*z0^2 + x^20*z0^3 + 2*x^19*z0^4 + x^20*z0^2 - x^20*z0 - 2*x^19*z0^2 + x^20 - x^19*z0 + x^4*z0)/y) * dx,
+ ((2*x^23*z0^4 + x^23*z0^3 - x^22*z0^4 - x^22*z0^3 + 2*x^23*z0 - x^21*z0^3 - 2*x^20*z0^4 - 2*x^22*z0 + 2*x^19*z0^4 - x^22 + 2*x^21*z0 - x^20*z0^2 + 2*x^21 - 2*x^20*z0 - x^19*z0^2 - x^19*z0 + x^4*z0^2)/y) * dx,
+ ((x^23*z0^4 - 2*x^23*z0^3 - x^22*z0^4 + 2*x^23*z0^2 + 2*x^22*z0^3 - x^21*z0^4 - 2*x^22*z0^2 - 2*x^21*z0^3 + x^20*z0^4 + 2*x^21*z0^2 + x^20*z0^3 + x^19*z0^4 - 2*x^20*z0^2 + 2*x^21 - x^19*z0^2 - 2*x^20 + x^4*z0^3)/y) * dx,
+ (x^4*z0^4/y) * dx,
+ (-2*x^23*z0^4 + 2*x^23*z0^3 + 2*x^22*z0^4 - 2*x^23*z0^2 - 2*x^22*z0^3 - 2*x^21*z0^4 + x^22*z0^2 + 2*x^21*z0^3 - x^20*z0^4 - 2*x^22*z0 - 2*x^19*z0^4 + x^21*z0 - x^20*z0^2 - 2*x^19*z0^3 - x^21 - 2*x^20*z0 - x^19*z0^2 + 2*x^20 + x^5) * dx,
+ (2*x^23*z0^4 - 2*x^23*z0^3 - 2*x^22*z0^4 + x^22*z0^3 + 2*x^21*z0^4 - 2*x^22*z0^2 + x^21*z0^2 - x^20*z0^3 - 2*x^19*z0^4 - x^21*z0 - 2*x^20*z0^2 - x^19*z0^3 - x^20*z0 - x^19 + x^5*z0) * dx,
+ (-2*x^23*z0^4 + x^22*z0^4 - 2*x^22*z0^3 - 2*x^23*z0 + x^21*z0^3 - x^20*z0^4 + 2*x^22*z0 - x^21*z0^2 - 2*x^20*z0^3 - x^19*z0^4 + x^22 - 2*x^21*z0 - x^20*z0^2 - 2*x^21 - x^20*z0 - 2*x^20 - 2*x^19*z0 + x^5*z0^2) * dx,
+ (-2*x^22*z0^4 - 2*x^23*z0^2 + x^21*z0^4 + x^23*z0 + 2*x^22*z0^2 - x^21*z0^3 - 2*x^20*z0^4 - x^22*z0 - 2*x^21*z0^2 - x^20*z0^3 + 2*x^22 + x^21*z0 - x^20*z0^2 - x^21 - x^20*z0 - 2*x^19*z0^2 + 2*x^20 + 2*x^19*z0 + x^5*z0^3) * dx,
+ (-2*x^23*z0^3 + x^23*z0^2 + 2*x^22*z0^3 - x^21*z0^4 - x^22*z0^2 - 2*x^21*z0^3 - x^20*z0^4 + x^21*z0^2 - x^20*z0^3 - x^20*z0^2 - 2*x^19*z0^3 + x^21 + 2*x^19*z0^2 + x^20 + x^5*z0^4) * dx,
+ ((x^23*z0^4 - 2*x^23*z0^3 - x^22*z0^4 - 2*x^23*z0^2 + 2*x^22*z0^3 + x^21*z0^4 + x^22*z0^2 - 2*x^21*z0^3 - 2*x^20*z0^4 - 2*x^22*z0 - x^20*z0^3 + x^19*z0^4 + x^21*z0 - x^20*z0^2 - x^21 - 2*x^20*z0 - x^19*z0^2 + x^5)/y) * dx,
+ ((x^23*z0^3 - 2*x^22*z0^3 - 2*x^22*z0^2 - 2*x^21*z0^3 - 2*x^20*z0^4 + x^21*z0^2 + x^20*z0^3 - x^21*z0 - 2*x^20*z0^2 - x^20*z0 - x^20 + x^5*z0)/y) * dx,
+ ((-2*x^23*z0^4 + x^22*z0^4 - 2*x^22*z0^3 - 2*x^23*z0 + x^21*z0^3 - x^20*z0^4 + 2*x^22*z0 - x^21*z0^2 - 2*x^20*z0^3 - x^19*z0^4 + x^22 - 2*x^21*z0 - x^20*z0^2 - 2*x^21 - x^20*z0 - 2*x^20 - 2*x^19*z0 + x^5*z0^2)/y) * dx,
+ ((-2*x^22*z0^4 - 2*x^23*z0^2 + x^21*z0^4 + x^23*z0 + 2*x^22*z0^2 - x^21*z0^3 - 2*x^20*z0^4 - x^22*z0 - 2*x^21*z0^2 - x^20*z0^3 + 2*x^22 + x^21*z0 - x^20*z0^2 - x^21 - x^20*z0 - 2*x^19*z0^2 + 2*x^20 + 2*x^19*z0 + x^5*z0^3)/y) * dx,
+ ((-2*x^23*z0^4 - x^23*z0^3 + 2*x^22*z0^4 + x^23*z0^2 + x^22*z0^3 + 2*x^21*z0^4 - x^22*z0^2 - x^21*z0^3 - 2*x^20*z0^4 + x^21*z0^2 - 2*x^20*z0^3 - 2*x^19*z0^4 - x^20*z0^2 + x^21 + 2*x^19*z0^2 - x^20 + x^5*z0^4)/y) * dx,
+ (2*x^23*z0^4 + 2*x^23*z0^3 - 2*x^22*z0^4 + 2*x^23*z0^2 - 2*x^22*z0^3 - x^21*z0^4 + 2*x^23*z0 - x^22*z0^2 - x^21*z0^3 - 2*x^20*z0^4 + 2*x^22*z0 - x^20*z0^3 + 2*x^19*z0^4 - x^22 + 2*x^21*z0 - 2*x^20*z0^2 + x^19*z0^3 + 2*x^21 + x^20*z0 - x^19*z0^2 - 2*x^19*z0 + x^6) * dx,
+ (2*x^23*z0^4 + 2*x^23*z0^3 - 2*x^22*z0^4 + 2*x^23*z0^2 - x^22*z0^3 - x^21*z0^4 + 2*x^22*z0^2 - x^20*z0^4 - x^22*z0 + 2*x^21*z0^2 - 2*x^20*z0^3 + x^19*z0^4 - x^21*z0 + x^20*z0^2 - x^19*z0^3 - 2*x^19*z0^2 - x^20 + x^19 + x^6*z0) * dx,
+ (2*x^23*z0^4 + 2*x^23*z0^3 - x^22*z0^4 + 2*x^22*z0^3 + 2*x^23*z0 - x^22*z0^2 + 2*x^21*z0^3 - 2*x^20*z0^4 - 2*x^22*z0 - x^21*z0^2 + x^20*z0^3 - x^19*z0^4 - x^22 - x^21*z0 - 2*x^19*z0^3 + 2*x^21 - 2*x^20*z0 + x^20 + 2*x^19*z0 + 2*x^19 + x^6*z0^2) * dx,
+ (2*x^23*z0^4 + 2*x^22*z0^4 + 2*x^23*z0^2 - x^22*z0^3 + 2*x^21*z0^4 - 2*x^23*z0 - 2*x^22*z0^2 - x^21*z0^3 + x^20*z0^4 + 2*x^22*z0 - x^21*z0^2 - 2*x^19*z0^4 + x^22 - 2*x^21*z0 - 2*x^20*z0^2 - 2*x^20*z0 + 2*x^19*z0^2 + 2*x^20 + 2*x^19*z0 + 2*x^19 + x^6*z0^3) * dx,
+ (2*x^23*z0^3 - x^22*z0^4 - 2*x^23*z0^2 - 2*x^22*z0^3 - x^21*z0^4 - 2*x^23*z0 + 2*x^22*z0^2 - x^21*z0^3 + 2*x^22*z0 - 2*x^21*z0^2 - 2*x^20*z0^3 + x^22 - 2*x^21*z0 - 2*x^20*z0^2 + 2*x^19*z0^3 + x^21 + 2*x^20*z0 + 2*x^19*z0^2 + x^19*z0 + x^6*z0^4) * dx,
+ ((-2*x^23*z0^4 - x^23*z0^3 + 2*x^22*z0^4 + 2*x^23*z0^2 + x^22*z0^3 + 2*x^23*z0 - x^22*z0^2 + x^21*z0^3 + x^20*z0^4 + 2*x^22*z0 + 2*x^20*z0^3 - 2*x^19*z0^4 - x^22 + 2*x^21*z0 - 2*x^20*z0^2 + 2*x^21 + x^20*z0 - x^19*z0^2 + x^20 - 2*x^19*z0 + x^6)/y) * dx,
+ ((2*x^23*z0^4 - 2*x^22*z0^4 + 2*x^23*z0^2 + x^22*z0^3 - x^21*z0^4 + 2*x^22*z0^2 - 2*x^21*z0^3 - x^22*z0 + 2*x^21*z0^2 + 2*x^19*z0^4 - x^21*z0 + x^20*z0^2 - 2*x^19*z0^2 - 2*x^20 + x^6*z0)/y) * dx,
+ ((2*x^23*z0^4 - 2*x^23*z0^3 - x^22*z0^4 + x^22*z0^3 + 2*x^23*z0 - x^22*z0^2 - 2*x^21*z0^3 - 2*x^22*z0 - x^21*z0^2 + x^19*z0^4 - x^22 - x^21*z0 + 2*x^21 - 2*x^20*z0 - x^20 + 2*x^19*z0 + x^6*z0^2)/y) * dx,
+ ((-x^23*z0^4 + 2*x^23*z0^2 - x^22*z0^3 - x^21*z0^4 - 2*x^23*z0 - 2*x^22*z0^2 - x^21*z0^3 - x^20*z0^4 + 2*x^22*z0 - x^21*z0^2 + 2*x^19*z0^4 + x^22 - 2*x^21*z0 - 2*x^20*z0^2 - 2*x^20*z0 + 2*x^19*z0^2 + 2*x^20 + 2*x^19*z0 + x^6*z0^3)/y) * dx,
+ ((2*x^23*z0^4 + x^23*z0^3 + 2*x^22*z0^4 - 2*x^23*z0^2 - x^22*z0^3 + x^21*z0^4 - 2*x^23*z0 + 2*x^22*z0^2 - 2*x^21*z0^3 + x^20*z0^4 + 2*x^22*z0 - 2*x^21*z0^2 - x^20*z0^3 + 2*x^19*z0^4 + x^22 - 2*x^21*z0 - 2*x^20*z0^2 + x^21 + 2*x^20*z0 + 2*x^19*z0^2 + 2*x^20 + x^19*z0 + x^6*z0^4)/y) * dx,
+ (-2*x^23*z0^4 - x^23*z0^3 - x^22*z0^4 - 2*x^22*z0^3 - 2*x^21*z0^4 - 2*x^23*z0 - x^22*z0^2 + 2*x^20*z0^4 + x^22*z0 - x^21*z0^2 - 2*x^19*z0^4 + x^22 + 2*x^21*z0 - 2*x^20*z0^2 + x^21 + 2*x^20*z0 - x^20 + 2*x^19 + x^7) * dx,
+ (-x^23*z0^4 - 2*x^22*z0^4 - 2*x^23*z0^2 - x^22*z0^3 + x^22*z0^2 - x^21*z0^3 - 2*x^22*z0 + 2*x^21*z0^2 - 2*x^20*z0^3 + x^21*z0 + 2*x^20*z0^2 - x^21 - x^20*z0 + x^20 + 2*x^19*z0 - x^19 + x^7*z0) * dx,
+ (-2*x^23*z0^3 - x^22*z0^4 + x^22*z0^3 - x^21*z0^4 - 2*x^23*z0 - 2*x^22*z0^2 + 2*x^21*z0^3 - 2*x^20*z0^4 - x^22*z0 + x^21*z0^2 + 2*x^20*z0^3 + x^22 - 2*x^21*z0 - x^20*z0^2 + 2*x^21 + 2*x^20*z0 + 2*x^19*z0^2 + x^20 - 2*x^19*z0 + x^19 + x^7*z0^2) * dx,
+ (-2*x^23*z0^4 + x^22*z0^4 - 2*x^23*z0^2 - 2*x^22*z0^3 + 2*x^21*z0^4 - 2*x^23*z0 - x^22*z0^2 + x^21*z0^3 + 2*x^20*z0^4 + 2*x^22*z0 - 2*x^21*z0^2 - x^20*z0^3 + x^22 - x^21*z0 + 2*x^20*z0^2 + 2*x^19*z0^3 + x^21 + x^20*z0 - 2*x^19*z0^2 - 2*x^20 - x^19*z0 + 2*x^19 + x^7*z0^3) * dx,
+ (-2*x^23*z0^3 - 2*x^22*z0^4 - 2*x^23*z0^2 - x^22*z0^3 + x^21*z0^4 + x^23*z0 + 2*x^22*z0^2 - 2*x^21*z0^3 - x^20*z0^4 - x^22*z0 - x^21*z0^2 + 2*x^20*z0^3 + 2*x^19*z0^4 + 2*x^22 + x^21*z0 + x^20*z0^2 - 2*x^19*z0^3 - x^21 + 2*x^20*z0 - x^19*z0^2 + x^20 + 2*x^19 + x^7*z0^4) * dx,
+ ((-x^23*z0^3 + 2*x^22*z0^4 - 2*x^22*z0^3 - 2*x^23*z0 - x^22*z0^2 + x^22*z0 - x^21*z0^2 + 2*x^19*z0^4 + x^22 + 2*x^21*z0 - 2*x^20*z0^2 + x^21 + 2*x^20*z0 - x^20 + x^7)/y) * dx,
+ ((-2*x^23*z0^4 - x^22*z0^4 - 2*x^23*z0^2 - x^22*z0^3 - x^21*z0^4 + x^22*z0^2 - x^21*z0^3 + x^20*z0^4 - 2*x^22*z0 + 2*x^21*z0^2 - 2*x^20*z0^3 - 2*x^19*z0^4 + x^21*z0 + 2*x^20*z0^2 - x^21 - x^20*z0 + x^20 + 2*x^19*z0 + x^7*z0)/y) * dx,
+ ((x^23*z0^4 - 2*x^23*z0^3 - 2*x^22*z0^4 + x^22*z0^3 - 2*x^23*z0 - 2*x^22*z0^2 + 2*x^21*z0^3 + 2*x^20*z0^4 - x^22*z0 + x^21*z0^2 + 2*x^20*z0^3 + 2*x^19*z0^4 + x^22 - 2*x^21*z0 - x^20*z0^2 + 2*x^21 + 2*x^20*z0 + 2*x^19*z0^2 + x^20 - 2*x^19*z0 + x^7*z0^2)/y) * dx,
+ ((2*x^23*z0^4 - x^23*z0^3 + 2*x^22*z0^4 - 2*x^23*z0^2 - x^22*z0^3 + x^21*z0^4 - 2*x^23*z0 - x^22*z0^2 + x^20*z0^4 + 2*x^22*z0 - 2*x^21*z0^2 + x^19*z0^4 + x^22 - x^21*z0 + 2*x^20*z0^2 + x^21 + x^20*z0 - 2*x^19*z0^2 - x^19*z0 + x^7*z0^3)/y) * dx,
+ ((-x^23*z0^3 - 2*x^22*z0^4 - 2*x^23*z0^2 - 2*x^22*z0^3 + x^21*z0^4 + x^23*z0 + 2*x^22*z0^2 - x^21*z0^3 + x^20*z0^4 - x^22*z0 - x^21*z0^2 + x^20*z0^3 - x^19*z0^4 + 2*x^22 + x^21*z0 + x^20*z0^2 - x^21 + 2*x^20*z0 - x^19*z0^2 - x^20 + x^7*z0^4)/y) * dx,
+ (-x^23*z0^4 + 2*x^23*z0^3 - 2*x^22*z0^4 + x^23*z0^2 + x^22*z0^3 + 2*x^21*z0^4 + x^23*z0 + 2*x^22*z0^2 - x^21*z0^3 - 2*x^20*z0^4 + 2*x^22*z0 + x^20*z0^3 + 2*x^19*z0^4 + 2*x^22 + 2*x^21*z0 - 2*x^20*z0^2 - x^19*z0^3 - 2*x^21 - x^19*z0^2 - 2*x^20 + 2*x^19*z0 - 2*x^19 + x^8) * dx,
+ (2*x^23*z0^4 + x^23*z0^3 + x^22*z0^4 + x^23*z0^2 + 2*x^22*z0^3 - x^21*z0^4 + 2*x^23*z0 + 2*x^22*z0^2 + x^20*z0^4 + 2*x^22*z0 + 2*x^21*z0^2 - 2*x^20*z0^3 - x^19*z0^4 - x^22 - 2*x^21*z0 - x^19*z0^3 + x^21 - 2*x^20*z0 + 2*x^19*z0^2 - x^20 - 2*x^19*z0 + x^19 + x^8*z0) * dx,
+ (x^23*z0^4 + x^23*z0^3 + 2*x^22*z0^4 + 2*x^23*z0^2 + 2*x^22*z0^3 - x^23*z0 + 2*x^22*z0^2 + 2*x^21*z0^3 - 2*x^20*z0^4 - 2*x^22*z0 - 2*x^21*z0^2 - x^19*z0^4 - 2*x^22 + 2*x^21*z0 - 2*x^20*z0^2 + 2*x^19*z0^3 - 2*x^20*z0 - 2*x^19*z0^2 + 2*x^20 + 2*x^19*z0 + x^19 + x^8*z0^2) * dx,
+ (x^23*z0^4 + 2*x^23*z0^3 + 2*x^22*z0^4 - x^23*z0^2 + 2*x^22*z0^3 + 2*x^21*z0^4 + x^23*z0 - 2*x^22*z0^2 - 2*x^21*z0^3 + 2*x^21*z0^2 - 2*x^20*z0^3 + 2*x^19*z0^4 + 2*x^22 - 2*x^20*z0^2 - 2*x^19*z0^3 + 2*x^21 + 2*x^19*z0^2 - 2*x^20 - 2*x^19 + x^8*z0^3) * dx,
+ (2*x^23*z0^4 - x^23*z0^3 + 2*x^22*z0^4 + x^23*z0^2 - 2*x^22*z0^3 - 2*x^21*z0^4 - 2*x^23*z0 + 2*x^21*z0^3 - 2*x^20*z0^4 + 2*x^22*z0 - 2*x^20*z0^3 - 2*x^19*z0^4 + x^22 + x^21*z0 + 2*x^19*z0^3 - x^21 + x^20*z0 - x^20 + 2*x^19*z0 + 2*x^19 + x^8*z0^4) * dx,
+ ((x^23*z0^4 + x^22*z0^4 + x^23*z0^2 - 2*x^22*z0^3 - x^21*z0^4 + x^23*z0 + 2*x^22*z0^2 + 2*x^21*z0^3 + 2*x^20*z0^4 + 2*x^22*z0 - 2*x^20*z0^3 + 2*x^19*z0^4 + 2*x^22 + 2*x^21*z0 - 2*x^20*z0^2 - 2*x^21 - x^19*z0^2 + 2*x^20 + 2*x^19*z0 + x^8)/y) * dx,
+ ((2*x^23*z0^4 - x^23*z0^3 + x^22*z0^4 + x^23*z0^2 - x^22*z0^3 - x^21*z0^4 + 2*x^23*z0 + 2*x^22*z0^2 - 2*x^21*z0^3 + 2*x^20*z0^4 + 2*x^22*z0 + 2*x^21*z0^2 - x^22 - 2*x^21*z0 + x^21 - 2*x^20*z0 + 2*x^19*z0^2 - 2*x^20 - 2*x^19*z0 + x^8*z0)/y) * dx,
+ ((-x^23*z0^4 - x^22*z0^4 + 2*x^23*z0^2 - 2*x^22*z0^3 - 2*x^21*z0^4 - x^23*z0 + 2*x^22*z0^2 + x^21*z0^3 - 2*x^20*z0^4 - 2*x^22*z0 - 2*x^21*z0^2 + x^20*z0^3 - 2*x^19*z0^4 - 2*x^22 + 2*x^21*z0 - 2*x^20*z0^2 - 2*x^20*z0 - 2*x^19*z0^2 - x^20 + 2*x^19*z0 + x^8*z0^2)/y) * dx,
+ ((2*x^23*z0^4 - 2*x^23*z0^3 + x^22*z0^4 - x^23*z0^2 + x^22*z0^3 - 2*x^21*z0^4 + x^23*z0 - 2*x^22*z0^2 - x^21*z0^3 + x^20*z0^4 + 2*x^21*z0^2 + 2*x^20*z0^3 + x^19*z0^4 + 2*x^22 - 2*x^20*z0^2 + 2*x^21 + 2*x^19*z0^2 + x^20 + x^8*z0^3)/y) * dx,
+ ((x^23*z0^4 - 2*x^23*z0^3 - 2*x^22*z0^4 + x^23*z0^2 - x^22*z0^3 + 2*x^21*z0^4 - 2*x^23*z0 + x^21*z0^3 + 2*x^20*z0^4 + 2*x^22*z0 - x^20*z0^3 - x^19*z0^4 + x^22 + x^21*z0 - x^21 + x^20*z0 + x^20 + 2*x^19*z0 + x^8*z0^4)/y) * dx,
+ (2*x^23*z0^4 - 2*x^23*z0^3 - 2*x^22*z0^4 - 2*x^23*z0^2 + 2*x^22*z0^3 + 2*x^21*z0^4 - x^22*z0^2 - 2*x^21*z0^3 - 2*x^20*z0^4 - x^22*z0 - x^21*z0^2 + 2*x^20*z0^3 - x^19*z0^4 - 2*x^21*z0 - 2*x^20*z0^2 + 2*x^19*z0^3 + x^21 - x^20*z0 + x^19*z0^2 + 2*x^19 + x^9) * dx,
+ (-2*x^23*z0^4 - 2*x^23*z0^3 + 2*x^22*z0^4 - x^22*z0^3 - 2*x^21*z0^4 - x^22*z0^2 - x^21*z0^3 + 2*x^20*z0^4 - 2*x^21*z0^2 - 2*x^20*z0^3 + 2*x^19*z0^4 + x^21*z0 - x^20*z0^2 + x^19*z0^3 - x^19*z0 + x^9*z0) * dx,
+ (-2*x^23*z0^4 - x^22*z0^4 - x^22*z0^3 - x^21*z0^4 - x^23*z0 - 2*x^21*z0^3 - 2*x^20*z0^4 + x^22*z0 + x^21*z0^2 - x^20*z0^3 + x^19*z0^4 - 2*x^22 - x^21*z0 - x^21 + x^20*z0 - x^19*z0^2 - x^20 - 2*x^19*z0 - 2*x^19 + x^9*z0^2) * dx,
+ (-x^22*z0^4 - x^23*z0^2 - 2*x^21*z0^4 + 2*x^23*z0 + x^22*z0^2 + x^21*z0^3 - x^20*z0^4 - 2*x^22*z0 - x^21*z0^2 - x^22 + 2*x^21*z0 + x^20*z0^2 - x^19*z0^3 + x^21 - 2*x^20*z0 - 2*x^19*z0^2 - 2*x^19*z0 - 2*x^19 + x^9*z0^3) * dx,
+ (-x^23*z0^3 + 2*x^23*z0^2 + x^22*z0^3 + x^21*z0^4 - 2*x^22*z0^2 - x^21*z0^3 - 2*x^22*z0 + 2*x^21*z0^2 + x^20*z0^3 - x^19*z0^4 - x^21*z0 - 2*x^20*z0^2 - 2*x^19*z0^3 - 2*x^21 - x^20*z0 - 2*x^19*z0^2 - 2*x^20 - 2*x^19*z0 + x^9*z0^4) * dx,
+ ((x^23*z0^4 + 2*x^23*z0^3 - x^22*z0^4 - 2*x^23*z0^2 - 2*x^22*z0^3 + x^21*z0^4 - x^22*z0^2 + 2*x^21*z0^3 + 2*x^20*z0^4 - x^22*z0 - x^21*z0^2 - 2*x^20*z0^3 - 2*x^21*z0 - 2*x^20*z0^2 + x^21 - x^20*z0 + x^19*z0^2 + 2*x^20 + x^9)/y) * dx,
+ ((-x^23*z0^4 + x^22*z0^4 + 2*x^22*z0^3 - x^21*z0^4 - x^22*z0^2 + x^21*z0^3 - 2*x^21*z0^2 + x^20*z0^3 - 2*x^19*z0^4 + x^21*z0 - x^20*z0^2 + x^20 - x^19*z0 + x^9*z0)/y) * dx,
+ ((x^23*z0^4 + x^22*z0^4 - x^22*z0^3 + 2*x^21*z0^4 - x^23*z0 - 2*x^21*z0^3 + x^22*z0 + x^21*z0^2 - x^20*z0^3 + 2*x^19*z0^4 - 2*x^22 - x^21*z0 - x^21 + x^20*z0 - x^19*z0^2 - x^20 - 2*x^19*z0 + x^9*z0^2)/y) * dx,
+ ((2*x^23*z0^4 - 2*x^23*z0^3 + 2*x^22*z0^4 - x^23*z0^2 + 2*x^22*z0^3 + 2*x^23*z0 + x^22*z0^2 - x^21*z0^3 - 2*x^20*z0^4 - 2*x^22*z0 - x^21*z0^2 + 2*x^20*z0^3 - x^22 + 2*x^21*z0 + x^20*z0^2 + x^21 - 2*x^20*z0 - 2*x^19*z0^2 - x^20 - 2*x^19*z0 + x^9*z0^3)/y) * dx,
+ ((-2*x^23*z0^4 + 2*x^22*z0^4 + 2*x^23*z0^2 - x^21*z0^4 - 2*x^22*z0^2 - x^20*z0^4 - 2*x^22*z0 + 2*x^21*z0^2 + 2*x^19*z0^4 - x^21*z0 - 2*x^20*z0^2 - 2*x^21 - x^20*z0 - 2*x^19*z0^2 + x^20 - 2*x^19*z0 + x^9*z0^4)/y) * dx,
+ (-2*x^23*z0^4 - 2*x^23*z0^3 + 2*x^22*z0^4 - 2*x^23*z0^2 + 2*x^22*z0^3 - 2*x^21*z0^4 - 2*x^23*z0 - 2*x^21*z0^3 - x^20*z0^4 - x^22*z0 + 2*x^21*z0^2 + x^20*z0^3 - 2*x^19*z0^4 + x^22 - 2*x^21*z0 + 2*x^20*z0^2 - x^19*z0^3 + x^20*z0 + 2*x^20 - 2*x^19*z0 + x^10) * dx,
+ (-2*x^23*z0^4 - 2*x^23*z0^3 + 2*x^22*z0^4 - 2*x^23*z0^2 - 2*x^21*z0^4 - x^22*z0^2 + 2*x^21*z0^3 + x^20*z0^4 + x^22*z0 - 2*x^21*z0^2 + 2*x^20*z0^3 - x^19*z0^4 + x^20*z0^2 - x^20*z0 - 2*x^19*z0^2 - x^19 + x^10*z0) * dx,
+ (-2*x^23*z0^4 - 2*x^23*z0^3 - x^22*z0^3 + 2*x^21*z0^4 + x^23*z0 + x^22*z0^2 - 2*x^21*z0^3 + 2*x^20*z0^4 - x^22*z0 + x^20*z0^3 + 2*x^22 + x^21*z0 - x^20*z0^2 - 2*x^19*z0^3 + x^21 - 2*x^20*z0 + x^20 + x^19*z0 + x^10*z0^2) * dx,
+ (-2*x^23*z0^4 - x^22*z0^4 + x^23*z0^2 + x^22*z0^3 - 2*x^21*z0^4 - x^22*z0^2 + x^20*z0^4 + x^21*z0^2 - x^20*z0^3 - 2*x^19*z0^4 - 2*x^20*z0^2 + x^21 + x^20*z0 + x^19*z0^2 + 2*x^20 + 2*x^19*z0 - 2*x^19 + x^10*z0^3) * dx,
+ (x^23*z0^3 + x^22*z0^4 - x^22*z0^3 - x^23*z0 + x^21*z0^3 - x^20*z0^4 - 2*x^22*z0 - 2*x^20*z0^3 - 2*x^22 + x^20*z0^2 + x^19*z0^3 - 2*x^21 + 2*x^20*z0 + 2*x^19*z0^2 + 2*x^19*z0 + x^10*z0^4) * dx,
+ ((2*x^23*z0^4 + x^23*z0^3 - 2*x^22*z0^4 - 2*x^23*z0^2 - x^22*z0^3 + 2*x^21*z0^4 - 2*x^23*z0 + x^21*z0^3 + x^20*z0^4 - x^22*z0 + 2*x^21*z0^2 - 2*x^20*z0^3 + 2*x^19*z0^4 + x^22 - 2*x^21*z0 + 2*x^20*z0^2 + x^20*z0 + x^20 - 2*x^19*z0 + x^10)/y) * dx,
+ ((2*x^23*z0^4 - 2*x^23*z0^3 - 2*x^22*z0^4 - 2*x^23*z0^2 + 2*x^21*z0^4 - x^22*z0^2 + 2*x^21*z0^3 + 2*x^20*z0^4 + x^22*z0 - 2*x^21*z0^2 + 2*x^20*z0^3 + 2*x^19*z0^4 + x^20*z0^2 - x^20*z0 - 2*x^19*z0^2 + x^10*z0)/y) * dx,
+ ((x^23*z0^4 - x^23*z0^3 + 2*x^22*z0^4 - 2*x^22*z0^3 + x^23*z0 + x^22*z0^2 - x^21*z0^3 + x^20*z0^4 - x^22*z0 - 2*x^19*z0^4 + 2*x^22 + x^21*z0 - x^20*z0^2 + x^21 - 2*x^20*z0 - x^20 + x^19*z0 + x^10*z0^2)/y) * dx,
+ ((x^23*z0^4 + x^22*z0^4 + x^23*z0^2 + x^22*z0^3 + x^21*z0^4 - x^22*z0^2 - 2*x^20*z0^4 + x^21*z0^2 - x^20*z0^3 - x^19*z0^4 - 2*x^20*z0^2 + x^21 + x^20*z0 + x^19*z0^2 + 2*x^20 + 2*x^19*z0 + x^10*z0^3)/y) * dx,
+ ((x^23*z0^4 - 2*x^23*z0^3 + 2*x^22*z0^3 + x^21*z0^4 - x^23*z0 - 2*x^21*z0^3 + 2*x^20*z0^4 - 2*x^22*z0 + x^20*z0^3 + x^19*z0^4 - 2*x^22 + x^20*z0^2 - 2*x^21 + 2*x^20*z0 + 2*x^19*z0^2 + x^20 + 2*x^19*z0 + x^10*z0^4)/y) * dx,
+ (2*x^23*z0^4 + x^23*z0^3 - 2*x^22*z0^4 - x^23*z0^2 - x^22*z0^3 - x^21*z0^4 - 2*x^23*z0 - 2*x^22*z0^2 - 2*x^20*z0^4 - x^22*z0 + x^21*z0^2 + 2*x^19*z0^4 + x^22 + x^20*z0^2 + x^21 - x^20*z0 + x^20 - 2*x^19 + x^11) * dx,
+ (x^23*z0^4 - x^23*z0^3 - x^22*z0^4 - 2*x^23*z0^2 - 2*x^22*z0^3 - x^22*z0^2 + x^21*z0^3 + x^22*z0 + x^20*z0^3 - 2*x^21*z0 - x^20*z0^2 + x^20*z0 - x^20 - 2*x^19*z0 + x^19 + x^11*z0) * dx,
+ (-x^23*z0^4 - 2*x^23*z0^3 - 2*x^22*z0^4 - x^22*z0^3 + x^21*z0^4 - x^23*z0 + x^22*z0^2 + x^20*z0^4 + x^22*z0 - 2*x^21*z0^2 - x^20*z0^3 - 2*x^22 - 2*x^21*z0 + x^20*z0^2 - x^21 + x^20*z0 - 2*x^19*z0^2 + 2*x^20 - x^19*z0 + 2*x^19 + x^11*z0^2) * dx,
+ (-2*x^23*z0^4 - x^22*z0^4 - x^23*z0^2 + x^22*z0^3 - 2*x^23*z0 + x^22*z0^2 - 2*x^21*z0^3 - x^20*z0^4 + 2*x^22*z0 - 2*x^21*z0^2 + x^20*z0^3 + x^22 - x^21*z0 + x^20*z0^2 - 2*x^19*z0^3 + 2*x^21 - x^20*z0 - x^19*z0^2 - 2*x^20 + x^19*z0 + x^19 + x^11*z0^3) * dx,
+ (-x^23*z0^3 + x^22*z0^4 - 2*x^23*z0^2 + x^22*z0^3 - 2*x^21*z0^4 - 2*x^23*z0 + 2*x^22*z0^2 - 2*x^21*z0^3 + x^20*z0^4 - x^21*z0^2 + x^20*z0^3 - 2*x^19*z0^4 + x^22 + 2*x^21*z0 - x^20*z0^2 - x^19*z0^3 + 2*x^21 + 2*x^20*z0 + x^19*z0^2 - 2*x^20 + x^19*z0 + x^11*z0^4) * dx,
+ ((x^23*z0^3 - x^23*z0^2 - x^22*z0^3 + 2*x^21*z0^4 - 2*x^23*z0 - 2*x^22*z0^2 - x^22*z0 + x^21*z0^2 - 2*x^19*z0^4 + x^22 + x^20*z0^2 + x^21 - x^20*z0 + x^20 + x^11)/y) * dx,
+ ((2*x^23*z0^4 - x^23*z0^3 - 2*x^22*z0^4 - 2*x^23*z0^2 - 2*x^22*z0^3 + x^21*z0^4 - x^22*z0^2 + x^21*z0^3 - x^20*z0^4 + x^22*z0 + x^20*z0^3 + 2*x^19*z0^4 - 2*x^21*z0 - x^20*z0^2 + x^20*z0 - x^20 - 2*x^19*z0 + x^11*z0)/y) * dx,
+ ((x^23*z0^4 - 2*x^23*z0^3 + x^22*z0^4 - x^22*z0^3 - 2*x^21*z0^4 - x^23*z0 + x^22*z0^2 - x^20*z0^4 + x^22*z0 - 2*x^21*z0^2 - x^20*z0^3 - x^19*z0^4 - 2*x^22 - 2*x^21*z0 + x^20*z0^2 - x^21 + x^20*z0 - 2*x^19*z0^2 + 2*x^20 - x^19*z0 + x^11*z0^2)/y) * dx,
+ ((2*x^23*z0^4 + x^23*z0^3 - x^23*z0^2 - x^21*z0^4 - 2*x^23*z0 + x^22*z0^2 - x^21*z0^3 + 2*x^20*z0^4 + 2*x^22*z0 - 2*x^21*z0^2 + x^22 - x^21*z0 + x^20*z0^2 + 2*x^21 - x^20*z0 - x^19*z0^2 + x^20 + x^19*z0 + x^11*z0^3)/y) * dx,
+ ((-x^23*z0^4 + 2*x^23*z0^3 + 2*x^22*z0^4 - 2*x^23*z0^2 - 2*x^22*z0^3 + 2*x^21*z0^4 - 2*x^23*z0 + 2*x^22*z0^2 + x^21*z0^3 - 2*x^20*z0^4 - x^21*z0^2 - 2*x^20*z0^3 + 2*x^19*z0^4 + x^22 + 2*x^21*z0 - x^20*z0^2 + 2*x^21 + 2*x^20*z0 + x^19*z0^2 + 2*x^20 + x^19*z0 + x^11*z0^4)/y) * dx,
+ (-2*x^23*z0^4 - x^22*z0^4 + x^23*z0^2 - x^22*z0^3 - 2*x^21*z0^4 + x^23*z0 - 2*x^22*z0^2 + x^21*z0^3 + 2*x^20*z0^4 - 2*x^22*z0 - x^21*z0^2 - x^20*z0^3 - 2*x^19*z0^4 + 2*x^22 + x^21*z0 + 2*x^20*z0^2 + x^19*z0^3 - 2*x^20*z0 + 2*x^19*z0^2 - x^20 + x^19*z0 - 2*x^19 + x^12) * dx,
+ (x^23*z0^3 - x^22*z0^4 + x^23*z0^2 - 2*x^22*z0^3 + x^21*z0^4 - 2*x^22*z0^2 - x^21*z0^3 - x^20*z0^4 - x^22*z0 + x^21*z0^2 + 2*x^20*z0^3 + x^19*z0^4 - 2*x^20*z0^2 + 2*x^19*z0^3 - x^21 - x^20*z0 + x^19*z0^2 + x^20 - 2*x^19*z0 - x^19 + x^12*z0) * dx,
+ (x^23*z0^4 + x^23*z0^3 - 2*x^22*z0^4 - 2*x^22*z0^3 - x^21*z0^4 + x^23*z0 - x^22*z0^2 + x^21*z0^3 + 2*x^20*z0^4 - 2*x^22*z0 - 2*x^20*z0^3 + 2*x^19*z0^4 + 2*x^22 + x^21*z0 - x^20*z0^2 + x^19*z0^3 - x^21 - x^20*z0 - 2*x^19*z0^2 + x^19*z0 + x^19 + x^12*z0^2) * dx,
+ (x^23*z0^4 - 2*x^22*z0^4 + x^23*z0^2 - x^22*z0^3 + x^21*z0^4 - x^23*z0 - 2*x^22*z0^2 - 2*x^20*z0^4 + 2*x^22*z0 + x^21*z0^2 - x^20*z0^3 + x^19*z0^4 - 2*x^22 + x^21*z0 - x^20*z0^2 - 2*x^19*z0^3 + 2*x^21 - x^20*z0 + x^19*z0^2 + 2*x^20 + x^19*z0 + x^19 + x^12*z0^3) * dx,
+ (x^23*z0^3 - x^22*z0^4 - x^23*z0^2 - 2*x^22*z0^3 - x^23*z0 + 2*x^22*z0^2 + x^21*z0^3 - x^20*z0^4 - 2*x^22*z0 + x^21*z0^2 - x^20*z0^3 - 2*x^19*z0^4 - 2*x^22 + x^21*z0 - x^20*z0^2 + x^19*z0^3 + 2*x^21 + 2*x^20*z0 + x^19*z0^2 + x^20 - x^19 + x^12*z0^4) * dx,
+ ((2*x^23*z0^4 + 2*x^23*z0^3 + x^23*z0^2 + 2*x^22*z0^3 + 2*x^21*z0^4 + x^23*z0 - 2*x^22*z0^2 - 2*x^21*z0^3 + 2*x^20*z0^4 - 2*x^22*z0 - x^21*z0^2 + 2*x^20*z0^3 + 2*x^22 + x^21*z0 + 2*x^20*z0^2 - 2*x^20*z0 + 2*x^19*z0^2 + x^19*z0 + x^12)/y) * dx,
+ ((x^23*z0^4 - 2*x^22*z0^4 + x^23*z0^2 - x^22*z0^3 + 2*x^21*z0^4 - 2*x^22*z0^2 - 2*x^21*z0^3 + x^20*z0^4 - x^22*z0 + x^21*z0^2 - 2*x^20*z0^3 + x^19*z0^4 - 2*x^20*z0^2 - x^21 - x^20*z0 + x^19*z0^2 - 2*x^20 - 2*x^19*z0 + x^12*z0)/y) * dx,
+ ((-2*x^23*z0^4 - 2*x^23*z0^3 + x^22*z0^4 + x^22*z0^3 + x^21*z0^4 + x^23*z0 - x^22*z0^2 - 2*x^21*z0^3 - x^20*z0^4 - 2*x^22*z0 + x^20*z0^3 + 2*x^22 + x^21*z0 - x^20*z0^2 - x^21 - x^20*z0 - 2*x^19*z0^2 + x^20 + x^19*z0 + x^12*z0^2)/y) * dx,
+ ((x^23*z0^3 - x^22*z0^4 + x^23*z0^2 - 2*x^22*z0^3 - x^23*z0 - 2*x^22*z0^2 + x^21*z0^3 + x^20*z0^4 + 2*x^22*z0 + x^21*z0^2 - 2*x^20*z0^3 + x^19*z0^4 - 2*x^22 + x^21*z0 - x^20*z0^2 + 2*x^21 - x^20*z0 + x^19*z0^2 + x^19*z0 + x^12*z0^3)/y) * dx,
+ ((-2*x^23*z0^3 - x^22*z0^4 - x^23*z0^2 + x^22*z0^3 - x^23*z0 + 2*x^22*z0^2 - 2*x^21*z0^3 - 2*x^20*z0^4 - 2*x^22*z0 + x^21*z0^2 + 2*x^20*z0^3 + 2*x^19*z0^4 - 2*x^22 + x^21*z0 - x^20*z0^2 + 2*x^21 + 2*x^20*z0 + x^19*z0^2 + 2*x^20 + x^12*z0^4)/y) * dx,
+ (-x^23*z0^4 - 2*x^23*z0^3 - 2*x^22*z0^4 - 2*x^23*z0^2 + 2*x^22*z0^3 + 2*x^21*z0^4 + x^23*z0 - x^22*z0^2 - 2*x^21*z0^3 - 2*x^20*z0^4 - 2*x^22*z0 + 2*x^21*z0^2 + 2*x^20*z0^3 + 2*x^19*z0^4 + 2*x^22 + x^21*z0 + 2*x^20*z0^2 - 2*x^19*z0^3 + 2*x^21 - 2*x^20*z0 - x^19*z0^2 + x^19 + x^13) * dx,
+ (-2*x^23*z0^4 - 2*x^23*z0^3 + 2*x^22*z0^4 + x^23*z0^2 - x^22*z0^3 - 2*x^21*z0^4 + 2*x^23*z0 - 2*x^22*z0^2 + 2*x^21*z0^3 + 2*x^20*z0^4 + 2*x^22*z0 + x^21*z0^2 + 2*x^20*z0^3 - 2*x^19*z0^4 - x^22 + 2*x^21*z0 - 2*x^20*z0^2 - x^19*z0^3 + x^21 - x^20 + x^19*z0 + x^19 + x^13*z0) * dx,
+ (-2*x^23*z0^4 + x^23*z0^3 - x^22*z0^4 + 2*x^23*z0^2 - 2*x^22*z0^3 + 2*x^21*z0^4 - 2*x^23*z0 + 2*x^22*z0^2 + x^21*z0^3 + 2*x^20*z0^4 + x^22*z0 + 2*x^21*z0^2 - 2*x^20*z0^3 - x^19*z0^4 + x^22 - x^21*z0 - 2*x^21 + x^20*z0 + x^19*z0^2 - 2*x^20 - x^19*z0 + x^19 + x^13*z0^2) * dx,
+ (x^23*z0^4 + 2*x^23*z0^3 - 2*x^22*z0^4 - 2*x^23*z0^2 + 2*x^22*z0^3 + x^21*z0^4 + x^22*z0^2 + 2*x^21*z0^3 - 2*x^20*z0^4 - 2*x^22*z0 - x^21*z0^2 + 2*x^21*z0 + x^20*z0^2 + x^19*z0^3 - x^21 - 2*x^20*z0 - x^19*z0^2 - x^20 + 2*x^19*z0 + x^19 + x^13*z0^3) * dx,
+ (2*x^23*z0^4 - 2*x^23*z0^3 + 2*x^22*z0^4 + x^22*z0^3 + 2*x^21*z0^4 - 2*x^22*z0^2 - x^21*z0^3 - x^22*z0 + 2*x^21*z0^2 + x^20*z0^3 + x^19*z0^4 - x^21*z0 - 2*x^20*z0^2 - x^19*z0^3 - 2*x^21 - 2*x^20*z0 + 2*x^19*z0^2 + 2*x^20 + x^19 + x^13*z0^4) * dx,
+ ((-2*x^23*z0^4 - x^23*z0^3 - x^22*z0^4 - 2*x^23*z0^2 + x^22*z0^3 + x^21*z0^4 + x^23*z0 - x^22*z0^2 - x^21*z0^3 + x^20*z0^4 - 2*x^22*z0 + 2*x^21*z0^2 + x^20*z0^3 + 2*x^19*z0^4 + 2*x^22 + x^21*z0 + 2*x^20*z0^2 + 2*x^21 - 2*x^20*z0 - x^19*z0^2 - 2*x^20 + x^13)/y) * dx,
+ ((-2*x^23*z0^4 + x^23*z0^3 + 2*x^22*z0^4 + x^23*z0^2 + x^22*z0^3 - 2*x^21*z0^4 + 2*x^23*z0 - 2*x^22*z0^2 - 2*x^20*z0^4 + 2*x^22*z0 + x^21*z0^2 - x^20*z0^3 - x^19*z0^4 - x^22 + 2*x^21*z0 - 2*x^20*z0^2 + x^21 - 2*x^20 + x^19*z0 + x^13*z0)/y) * dx,
+ ((-x^23*z0^4 + x^23*z0^3 - 2*x^22*z0^4 + 2*x^23*z0^2 - 2*x^22*z0^3 - 2*x^21*z0^4 - 2*x^23*z0 + 2*x^22*z0^2 + x^21*z0^3 + x^20*z0^4 + x^22*z0 + 2*x^21*z0^2 - 2*x^20*z0^3 + x^19*z0^4 + x^22 - x^21*z0 - 2*x^21 + x^20*z0 + x^19*z0^2 - 2*x^20 - x^19*z0 + x^13*z0^2)/y) * dx,
+ ((-2*x^23*z0^4 - x^23*z0^3 + x^22*z0^4 - 2*x^23*z0^2 - 2*x^21*z0^4 + x^22*z0^2 - x^21*z0^3 - 2*x^22*z0 - x^21*z0^2 - 2*x^20*z0^3 - 2*x^19*z0^4 + 2*x^21*z0 + x^20*z0^2 - x^21 - 2*x^20*z0 - x^19*z0^2 + 2*x^19*z0 + x^13*z0^3)/y) * dx,
+ ((2*x^23*z0^4 + x^23*z0^3 + 2*x^22*z0^4 - 2*x^22*z0^3 + 2*x^21*z0^4 - 2*x^22*z0^2 + 2*x^21*z0^3 + x^20*z0^4 - x^22*z0 + 2*x^21*z0^2 - 2*x^20*z0^3 + 2*x^19*z0^4 - x^21*z0 - 2*x^20*z0^2 - 2*x^21 - 2*x^20*z0 + 2*x^19*z0^2 + x^20 + x^13*z0^4)/y) * dx,
+ (-x^23*z0^4 - x^23*z0^3 + x^22*z0^4 - 2*x^23*z0^2 + x^22*z0^3 - x^21*z0^4 + 2*x^23*z0 - 2*x^22*z0^2 - x^21*z0^3 + x^20*z0^4 + 2*x^22*z0 + x^21*z0^2 + x^20*z0^3 - 2*x^19*z0^4 - x^22 + 2*x^21*z0 + x^19*z0^3 - 2*x^21 + x^20*z0 - 2*x^20 + 2*x^19*z0 + x^14) * dx,
+ (-x^23*z0^4 - 2*x^23*z0^3 + x^22*z0^4 + 2*x^23*z0^2 - 2*x^22*z0^3 - x^21*z0^4 + 2*x^22*z0^2 + x^21*z0^3 + x^20*z0^4 - x^22*z0 + 2*x^21*z0^2 + x^19*z0^4 - 2*x^21*z0 + x^20*z0^2 - 2*x^20*z0 + 2*x^19*z0^2 - x^19*z0 + x^14*z0) * dx,
+ (-2*x^23*z0^4 + 2*x^23*z0^3 - 2*x^22*z0^4 + 2*x^22*z0^3 + x^21*z0^4 + 2*x^23*z0 - x^22*z0^2 + 2*x^21*z0^3 - 2*x^22*z0 - 2*x^21*z0^2 + x^20*z0^3 - x^22 + 2*x^21*z0 - 2*x^20*z0^2 + 2*x^19*z0^3 + 2*x^21 - 2*x^20*z0 - x^19*z0^2 + 2*x^20 - x^19*z0 - x^19 + x^14*z0^2) * dx,
+ (2*x^23*z0^4 + 2*x^22*z0^4 + 2*x^23*z0^2 - x^22*z0^3 + 2*x^21*z0^4 + 2*x^23*z0 - 2*x^22*z0^2 - 2*x^21*z0^3 + x^20*z0^4 - 2*x^22*z0 + 2*x^21*z0^2 - 2*x^20*z0^3 + 2*x^19*z0^4 - x^22 + 2*x^21*z0 - 2*x^20*z0^2 - x^19*z0^3 - x^21 - 2*x^20*z0 - x^19*z0^2 + x^20 - 2*x^19*z0 + x^19 + x^14*z0^3) * dx,
+ (2*x^23*z0^3 - x^22*z0^4 + 2*x^23*z0^2 - 2*x^22*z0^3 - 2*x^21*z0^4 - x^23*z0 - 2*x^22*z0^2 + 2*x^21*z0^3 - 2*x^20*z0^4 - x^22*z0 + 2*x^21*z0^2 - 2*x^20*z0^3 - x^19*z0^4 - 2*x^22 - 2*x^21*z0 - 2*x^20*z0^2 - x^19*z0^3 + 2*x^21 - 2*x^19*z0^2 + x^20 + 2*x^19 + x^14*z0^4) * dx,
+ ((x^23*z0^3 - 2*x^23*z0^2 - x^22*z0^3 + 2*x^23*z0 - 2*x^22*z0^2 + x^21*z0^3 - x^20*z0^4 + 2*x^22*z0 + x^21*z0^2 - x^20*z0^3 - x^19*z0^4 - x^22 + 2*x^21*z0 - 2*x^21 + x^20*z0 - x^20 + 2*x^19*z0 + x^14)/y) * dx,
+ ((-x^23*z0^4 - 2*x^23*z0^3 + x^22*z0^4 + 2*x^23*z0^2 - 2*x^22*z0^3 - x^21*z0^4 + 2*x^22*z0^2 + x^21*z0^3 + x^20*z0^4 - x^22*z0 + 2*x^21*z0^2 + x^19*z0^4 - 2*x^21*z0 + x^20*z0^2 - 2*x^20*z0 + 2*x^19*z0^2 - x^19*z0 + x^14*z0)/y) * dx,
+ ((-x^23*z0^4 + x^23*z0^3 + 2*x^22*z0^4 - 2*x^22*z0^3 + 2*x^21*z0^4 + 2*x^23*z0 - x^22*z0^2 + x^21*z0^3 + 2*x^20*z0^4 - 2*x^22*z0 - 2*x^21*z0^2 + 2*x^20*z0^3 - x^22 + 2*x^21*z0 - 2*x^20*z0^2 + 2*x^21 - 2*x^20*z0 - x^19*z0^2 - x^20 - x^19*z0 + x^14*z0^2)/y) * dx,
+ ((2*x^23*z0^4 - 2*x^23*z0^3 + 2*x^22*z0^4 + 2*x^23*z0^2 + x^22*z0^3 + 2*x^21*z0^4 + 2*x^23*z0 - 2*x^22*z0^2 + x^21*z0^3 + 2*x^20*z0^4 - 2*x^22*z0 + 2*x^21*z0^2 - 2*x^19*z0^4 - x^22 + 2*x^21*z0 - 2*x^20*z0^2 - x^21 - 2*x^20*z0 - x^19*z0^2 - 2*x^19*z0 + x^14*z0^3)/y) * dx,
+ ((x^23*z0^4 - 2*x^22*z0^4 + 2*x^23*z0^2 - x^21*z0^4 - x^23*z0 - 2*x^22*z0^2 - 2*x^20*z0^4 - x^22*z0 + 2*x^21*z0^2 + 2*x^19*z0^4 - 2*x^22 - 2*x^21*z0 - 2*x^20*z0^2 + 2*x^21 - 2*x^19*z0^2 + x^14*z0^4)/y) * dx,
+ (x^23*z0^4 - 2*x^23*z0^3 - x^22*z0^4 + 2*x^22*z0^3 + x^21*z0^4 + x^23*z0 - x^22*z0^2 - 2*x^21*z0^3 - 2*x^20*z0^4 - 2*x^22*z0 + 2*x^21*z0^2 - x^20*z0^3 + x^19*z0^4 + 2*x^22 - 2*x^20*z0^2 - x^21 - 2*x^20*z0 + x^19*z0^2 - x^20 + x^19*z0 + 2*x^19 + x^15) * dx,
+ (-2*x^23*z0^4 + 2*x^22*z0^4 + x^23*z0^2 - x^22*z0^3 - 2*x^21*z0^4 - 2*x^22*z0^2 + 2*x^21*z0^3 - x^20*z0^4 + 2*x^22*z0 - 2*x^20*z0^3 - x^21*z0 - 2*x^20*z0^2 + x^19*z0^3 - 2*x^20*z0 + x^19*z0^2 + 2*x^19*z0 - 2*x^19 + x^15*z0) * dx,
+ (x^23*z0^3 - x^22*z0^4 - 2*x^22*z0^3 + 2*x^21*z0^4 - 2*x^23*z0 + 2*x^22*z0^2 - 2*x^20*z0^4 + 2*x^22*z0 - x^21*z0^2 - 2*x^20*z0^3 + x^19*z0^4 + x^22 - 2*x^21*z0 - 2*x^20*z0^2 + x^19*z0^3 - 2*x^21 - x^20*z0 + 2*x^19*z0^2 - 2*x^20 - 2*x^19*z0 + x^15*z0^2) * dx,
+ (x^23*z0^4 - 2*x^22*z0^4 - 2*x^23*z0^2 + 2*x^22*z0^3 - x^23*z0 + 2*x^22*z0^2 - x^21*z0^3 - 2*x^20*z0^4 + x^22*z0 - 2*x^21*z0^2 - 2*x^20*z0^3 + x^19*z0^4 - 2*x^22 - x^21*z0 - x^20*z0^2 + 2*x^19*z0^3 + 2*x^21 + 2*x^20*z0 - 2*x^19*z0^2 - 2*x^19 + x^15*z0^3) * dx,
+ (-2*x^23*z0^3 + 2*x^22*z0^4 - x^23*z0^2 + 2*x^22*z0^3 - x^21*z0^4 + x^22*z0^2 - 2*x^21*z0^3 - 2*x^20*z0^4 + 2*x^22*z0 - x^21*z0^2 - x^20*z0^3 + 2*x^19*z0^4 + x^21*z0 + 2*x^20*z0^2 - 2*x^19*z0^3 - 2*x^21 - x^20*z0 - 2*x^19*z0 - 2*x^19 + x^15*z0^4) * dx,
+ ((-2*x^23*z0^4 - 2*x^23*z0^3 + 2*x^22*z0^4 + 2*x^22*z0^3 - 2*x^21*z0^4 + x^23*z0 - x^22*z0^2 - 2*x^21*z0^3 + x^20*z0^4 - 2*x^22*z0 + 2*x^21*z0^2 - x^20*z0^3 + 2*x^22 - 2*x^20*z0^2 - x^21 - 2*x^20*z0 + x^19*z0^2 - x^20 + x^19*z0 + x^15)/y) * dx,
+ ((2*x^23*z0^4 + 2*x^23*z0^3 - 2*x^22*z0^4 + x^23*z0^2 + 2*x^22*z0^3 + 2*x^21*z0^4 - 2*x^22*z0^2 - x^21*z0^3 - x^20*z0^4 + 2*x^22*z0 + x^20*z0^3 + 2*x^19*z0^4 - x^21*z0 - 2*x^20*z0^2 - 2*x^20*z0 + x^19*z0^2 + x^20 + 2*x^19*z0 + x^15*z0)/y) * dx,
+ ((x^23*z0^4 - 2*x^23*z0^3 - 2*x^22*z0^4 + x^22*z0^3 - 2*x^21*z0^4 - 2*x^23*z0 + 2*x^22*z0^2 + 2*x^21*z0^3 + x^20*z0^4 + 2*x^22*z0 - x^21*z0^2 + x^20*z0^3 + 2*x^19*z0^4 + x^22 - 2*x^21*z0 - 2*x^20*z0^2 - 2*x^21 - x^20*z0 + 2*x^19*z0^2 - x^20 - 2*x^19*z0 + x^15*z0^2)/y) * dx,
+ ((x^23*z0^4 - x^23*z0^3 - 2*x^22*z0^4 - 2*x^23*z0^2 - 2*x^22*z0^3 - x^23*z0 + 2*x^22*z0^2 - 2*x^21*z0^3 + x^20*z0^4 + x^22*z0 - 2*x^21*z0^2 - x^20*z0^3 - x^19*z0^4 - 2*x^22 - x^21*z0 - x^20*z0^2 + 2*x^21 + 2*x^20*z0 - 2*x^19*z0^2 + 2*x^20 + x^15*z0^3)/y) * dx,
+ ((x^23*z0^4 - x^23*z0^3 + x^22*z0^4 - x^23*z0^2 + x^22*z0^3 + x^22*z0^2 - x^21*z0^3 - x^20*z0^4 + 2*x^22*z0 - x^21*z0^2 - 2*x^20*z0^3 + x^19*z0^4 + x^21*z0 + 2*x^20*z0^2 - 2*x^21 - x^20*z0 - 2*x^20 - 2*x^19*z0 + x^15*z0^4)/y) * dx,
+ (-x^23*z0^4 + x^22*z0^4 - 2*x^23*z0^2 - 2*x^21*z0^4 - 2*x^23*z0 - 2*x^22*z0^2 + 2*x^21*z0^3 + x^20*z0^4 + 2*x^21*z0^2 + 2*x^20*z0^3 - x^19*z0^4 + x^22 - 2*x^21*z0 + 2*x^20*z0^2 - 2*x^19*z0^3 + 2*x^21 + x^20*z0 - 2*x^19*z0^2 - x^20 - x^19*z0 + x^19 + x^16) * dx,
+ (-2*x^23*z0^3 - 2*x^23*z0^2 - 2*x^22*z0^3 + 2*x^21*z0^4 + 2*x^21*z0^3 + 2*x^20*z0^4 + x^22*z0 - 2*x^21*z0^2 + 2*x^20*z0^3 - 2*x^19*z0^4 + x^21*z0 + x^20*z0^2 - 2*x^19*z0^3 - x^20*z0 - x^19*z0^2 - 2*x^20 + x^19*z0 + 2*x^19 + x^16*z0) * dx,
+ (-2*x^23*z0^4 - 2*x^23*z0^3 - 2*x^22*z0^4 + 2*x^21*z0^4 + 2*x^23*z0 + x^22*z0^2 - 2*x^21*z0^3 + 2*x^20*z0^4 - 2*x^22*z0 + x^21*z0^2 + x^20*z0^3 - 2*x^19*z0^4 - x^22 - x^21*z0 - x^20*z0^2 - x^19*z0^3 + 2*x^21 - 2*x^20*z0 + x^19*z0^2 + x^20 + 2*x^19*z0 - x^19 + x^16*z0^2) * dx,
+ (-2*x^23*z0^4 + 2*x^23*z0^2 + x^22*z0^3 - 2*x^21*z0^4 - 2*x^22*z0^2 + x^21*z0^3 + x^20*z0^4 - x^21*z0^2 - x^20*z0^3 - x^19*z0^4 + x^21*z0 - 2*x^20*z0^2 + x^19*z0^3 + 2*x^21 + x^20*z0 + 2*x^19*z0^2 + x^20 - x^19*z0 - x^19 + x^16*z0^3) * dx,
+ (2*x^23*z0^3 + x^22*z0^4 - 2*x^22*z0^3 + x^21*z0^4 - x^23*z0 - x^21*z0^3 - x^20*z0^4 - x^22*z0 + x^21*z0^2 - 2*x^20*z0^3 + x^19*z0^4 - 2*x^22 + x^21*z0 + x^20*z0^2 + 2*x^19*z0^3 + x^20*z0 - x^19*z0^2 - 2*x^20 - x^19*z0 + x^16*z0^4 + 2*x^19) * dx,
+ ((-2*x^23*z0^4 + x^23*z0^3 + 2*x^22*z0^4 - 2*x^23*z0^2 - x^22*z0^3 + 2*x^21*z0^4 - 2*x^23*z0 - 2*x^22*z0^2 - 2*x^21*z0^3 - x^20*z0^4 + 2*x^21*z0^2 + x^20*z0^3 - x^19*z0^4 + x^22 - 2*x^21*z0 + 2*x^20*z0^2 + 2*x^21 + x^20*z0 - 2*x^19*z0^2 + 2*x^20 - x^19*z0 + x^16)/y) * dx,
+ ((-x^23*z0^3 - 2*x^23*z0^2 + 2*x^22*z0^3 + 2*x^21*z0^4 - 2*x^21*z0^3 - x^20*z0^4 + x^22*z0 - 2*x^21*z0^2 + x^20*z0^3 + x^21*z0 + x^20*z0^2 - x^20*z0 - x^19*z0^2 + x^20 + x^19*z0 + x^16*z0)/y) * dx,
+ ((x^23*z0^4 + x^23*z0^3 + 2*x^22*z0^3 + 2*x^23*z0 + x^22*z0^2 + x^21*z0^3 - 2*x^22*z0 + x^21*z0^2 - 2*x^20*z0^3 - x^22 - x^21*z0 - x^20*z0^2 + 2*x^21 - 2*x^20*z0 + x^19*z0^2 + 2*x^19*z0 + x^16*z0^2)/y) * dx,
+ ((-2*x^23*z0^4 + 2*x^23*z0^3 + 2*x^23*z0^2 - x^22*z0^3 - 2*x^21*z0^4 - 2*x^22*z0^2 - 2*x^21*z0^3 - x^21*z0^2 + 2*x^20*z0^3 - 2*x^19*z0^4 + x^21*z0 - 2*x^20*z0^2 + 2*x^21 + x^20*z0 + 2*x^19*z0^2 + 2*x^20 - x^19*z0 + x^16*z0^3)/y) * dx,
+ ((-x^23*z0^4 + x^23*z0^3 + 2*x^22*z0^4 - x^22*z0^3 - x^23*z0 - 2*x^21*z0^3 - 2*x^20*z0^4 - x^22*z0 + x^21*z0^2 - x^20*z0^3 + 2*x^19*z0^4 - 2*x^22 + x^21*z0 + x^20*z0^2 + x^20*z0 - x^19*z0^2 - x^19*z0 + x^16*z0^4)/y) * dx,
+ (x^23*z0^4 + 2*x^23*z0^3 - 2*x^22*z0^4 - 2*x^23*z0^2 + x^21*z0^4 - x^23*z0 + 2*x^22*z0^2 - x^21*z0^3 - x^20*z0^4 - x^22*z0 + 2*x^21*z0^2 + x^20*z0^3 + x^19*z0^4 - 2*x^22 - 2*x^20*z0^2 - x^19*z0^3 - 2*x^21 + 2*x^19*z0^2 + 2*x^20 - 2*x^19 + x^17) * dx,
+ (2*x^23*z0^4 - 2*x^23*z0^3 - x^23*z0^2 + 2*x^22*z0^3 - x^21*z0^4 - x^22*z0^2 + 2*x^21*z0^3 + x^20*z0^4 + 2*x^22*z0 - 2*x^20*z0^3 - x^19*z0^4 - 2*x^21*z0 + 2*x^19*z0^3 - 2*x^21 + 2*x^20*z0 + 2*x^20 - 2*x^19*z0 - 2*x^19 + x^17*z0) * dx,
+ (-2*x^23*z0^4 - x^23*z0^3 + 2*x^22*z0^4 - x^22*z0^3 + 2*x^21*z0^4 - 2*x^23*z0 + 2*x^22*z0^2 - 2*x^20*z0^4 - x^22*z0 - 2*x^21*z0^2 + 2*x^19*z0^4 + x^22 - 2*x^21*z0 + 2*x^20*z0^2 + 2*x^21 + 2*x^20*z0 - 2*x^19*z0^2 - 2*x^20 - 2*x^19*z0 + 2*x^19 + x^17*z0^2) * dx,
+ (-x^23*z0^4 - x^22*z0^4 - 2*x^23*z0^2 + 2*x^22*z0^3 + x^23*z0 - x^22*z0^2 - 2*x^21*z0^3 - 2*x^21*z0^2 + 2*x^20*z0^3 + 2*x^22 + 2*x^21*z0 + 2*x^20*z0^2 - 2*x^19*z0^3 + x^21 - 2*x^20*z0 - 2*x^19*z0^2 - x^20 + 2*x^19*z0 + x^17*z0^3 + x^19) * dx,
+ (-2*x^23*z0^3 + 2*x^22*z0^4 + x^23*z0^2 - x^22*z0^3 - 2*x^21*z0^4 - x^23*z0 - 2*x^21*z0^3 + 2*x^20*z0^4 + x^22*z0 + 2*x^21*z0^2 + 2*x^20*z0^3 - 2*x^19*z0^4 - 2*x^22 + x^21*z0 - 2*x^20*z0^2 - 2*x^19*z0^3 - x^20*z0 + 2*x^19*z0^2 + x^17*z0^4 + x^19*z0) * dx,
+ ((-2*x^23*z0^4 + x^22*z0^4 - 2*x^23*z0^2 + 2*x^22*z0^3 - 2*x^21*z0^4 - x^23*z0 + 2*x^22*z0^2 + 2*x^21*z0^3 - 2*x^20*z0^4 - x^22*z0 + 2*x^21*z0^2 - 2*x^20*z0^3 + x^19*z0^4 - 2*x^22 - 2*x^20*z0^2 - 2*x^21 + 2*x^19*z0^2 + x^20 + x^17)/y) * dx,
+ ((2*x^23*z0^4 + 2*x^23*z0^3 - x^23*z0^2 - 2*x^22*z0^3 - x^21*z0^4 - x^22*z0^2 + x^21*z0^3 - x^20*z0^4 + 2*x^22*z0 - x^20*z0^3 + 2*x^19*z0^4 - 2*x^21*z0 - 2*x^21 + 2*x^20*z0 - x^20 - 2*x^19*z0 + x^17*z0)/y) * dx,
+ ((-x^23*z0^3 - x^22*z0^3 - x^21*z0^4 - 2*x^23*z0 + 2*x^22*z0^2 + x^20*z0^4 - x^22*z0 - 2*x^21*z0^2 + x^19*z0^4 + x^22 - 2*x^21*z0 + 2*x^20*z0^2 + 2*x^21 + 2*x^20*z0 - 2*x^19*z0^2 - 2*x^20 - 2*x^19*z0 + x^17*z0^2)/y) * dx,
+ ((-2*x^23*z0^4 + x^23*z0^3 - 2*x^23*z0^2 + x^22*z0^3 - x^21*z0^4 + x^23*z0 - x^22*z0^2 - x^21*z0^3 - 2*x^20*z0^4 - 2*x^21*z0^2 + x^20*z0^3 + 2*x^22 + 2*x^21*z0 + 2*x^20*z0^2 + x^21 - 2*x^20*z0 - 2*x^19*z0^2 + 2*x^20 + 2*x^19*z0 + x^17*z0^3)/y) * dx,
+ ((-2*x^23*z0^4 - x^23*z0^3 - x^22*z0^4 + x^23*z0^2 - 2*x^22*z0^3 + x^21*z0^4 - x^23*z0 - x^21*z0^3 + x^20*z0^4 + x^22*z0 + 2*x^21*z0^2 + x^20*z0^3 + x^19*z0^4 - 2*x^22 + x^21*z0 - 2*x^20*z0^2 - x^20*z0 + 2*x^19*z0^2 + x^17*z0^4 - 2*x^20 + x^19*z0)/y) * dx,
+ (-2*x^23*z0^4 - 2*x^23*z0^3 + x^22*z0^4 - 2*x^23*z0^2 + x^22*z0^3 - x^21*z0^4 - 2*x^23*z0 + x^22*z0^2 - x^21*z0^3 + x^20*z0^4 + x^22*z0 - x^21*z0^2 + x^20*z0^3 - x^19*z0^4 + x^22 - x^21*z0 + x^20*z0^2 - x^19*z0^3 - x^21 + x^20*z0 - x^19*z0^2 + x^20 - x^19*z0 - x^19 + x^18) * dx,
+ (-2*x^23*z0^4 - 2*x^23*z0^3 + x^22*z0^4 - 2*x^23*z0^2 + x^22*z0^3 - x^21*z0^4 - x^23*z0 + x^22*z0^2 - x^21*z0^3 + x^20*z0^4 + x^22*z0 - x^21*z0^2 + x^20*z0^3 - x^19*z0^4 - 2*x^22 - x^21*z0 + x^20*z0^2 - x^19*z0^3 + 2*x^21 + x^20*z0 - x^19*z0^2 - 2*x^20 - x^19*z0 + 2*x^19 + x^18*z0) * dx,
+ (-2*x^23*z0^4 - 2*x^23*z0^3 + x^22*z0^4 - x^23*z0^2 + x^22*z0^3 - x^21*z0^4 - x^23*z0 + x^22*z0^2 - x^21*z0^3 + x^20*z0^4 - 2*x^22*z0 - x^21*z0^2 + x^20*z0^3 - x^19*z0^4 - 2*x^22 + 2*x^21*z0 + x^20*z0^2 - x^19*z0^3 + 2*x^21 - 2*x^20*z0 - x^19*z0^2 - 2*x^20 + 2*x^19*z0 + x^18*z0^2 + 2*x^19) * dx,
+ (-2*x^23*z0^4 - x^23*z0^3 + x^22*z0^4 - x^23*z0^2 + x^22*z0^3 - x^21*z0^4 - x^23*z0 - 2*x^22*z0^2 - x^21*z0^3 + x^20*z0^4 - 2*x^22*z0 + 2*x^21*z0^2 + x^20*z0^3 - x^19*z0^4 - 2*x^22 + 2*x^21*z0 - 2*x^20*z0^2 - x^19*z0^3 + 2*x^21 - 2*x^20*z0 + 2*x^19*z0^2 + x^18*z0^3 - 2*x^20 + 2*x^19*z0 + 2*x^19) * dx,
+ (-x^23*z0^4 - x^23*z0^3 + x^22*z0^4 - x^23*z0^2 - 2*x^22*z0^3 - x^21*z0^4 - x^23*z0 - 2*x^22*z0^2 + 2*x^21*z0^3 + x^20*z0^4 - 2*x^22*z0 + 2*x^21*z0^2 - 2*x^20*z0^3 - x^19*z0^4 - 2*x^22 + 2*x^21*z0 - 2*x^20*z0^2 + 2*x^19*z0^3 + x^18*z0^4 + 2*x^21 - 2*x^20*z0 + 2*x^19*z0^2 - 2*x^20 + 2*x^19*z0 + 2*x^19) * dx,
+ ((x^23*z0^4 + x^23*z0^3 - 2*x^22*z0^4 - 2*x^23*z0^2 - 2*x^22*z0^3 + 2*x^21*z0^4 - 2*x^23*z0 + x^22*z0^2 + 2*x^21*z0^3 - x^20*z0^4 + x^22*z0 - x^21*z0^2 - 2*x^20*z0^3 + x^19*z0^4 + x^22 - x^21*z0 + x^20*z0^2 - x^21 + x^20*z0 - x^19*z0^2 - x^19*z0 + x^18)/y) * dx,
+ ((-x^23*z0^4 + x^23*z0^3 - 2*x^23*z0^2 - 2*x^22*z0^3 - x^23*z0 + x^22*z0^2 + 2*x^21*z0^3 + x^20*z0^4 + x^22*z0 - x^21*z0^2 - 2*x^20*z0^3 + 2*x^19*z0^4 - 2*x^22 - x^21*z0 + x^20*z0^2 + 2*x^21 + x^20*z0 - x^19*z0^2 + 2*x^20 - x^19*z0 + x^18*z0)/y) * dx,
+ ((-x^23*z0^4 + x^23*z0^3 - x^23*z0^2 - 2*x^22*z0^3 - x^23*z0 + x^22*z0^2 + 2*x^21*z0^3 + x^20*z0^4 - 2*x^22*z0 - x^21*z0^2 - 2*x^20*z0^3 + 2*x^19*z0^4 - 2*x^22 + 2*x^21*z0 + x^20*z0^2 + 2*x^21 - 2*x^20*z0 - x^19*z0^2 + 2*x^20 + 2*x^19*z0 + x^18*z0^2)/y) * dx,
+ ((-x^23*z0^4 + 2*x^23*z0^3 - x^23*z0^2 - 2*x^22*z0^3 - x^23*z0 - 2*x^22*z0^2 + 2*x^21*z0^3 + x^20*z0^4 - 2*x^22*z0 + 2*x^21*z0^2 - 2*x^20*z0^3 + 2*x^19*z0^4 - 2*x^22 + 2*x^21*z0 - 2*x^20*z0^2 + 2*x^21 - 2*x^20*z0 + 2*x^19*z0^2 + x^18*z0^3 + 2*x^20 + 2*x^19*z0)/y) * dx,
+ ((-2*x^23*z0^4 - 2*x^23*z0^3 + 2*x^22*z0^4 - x^23*z0^2 - x^22*z0^3 - 2*x^21*z0^4 - x^23*z0 - 2*x^22*z0^2 + x^21*z0^3 - 2*x^22*z0 + 2*x^21*z0^2 - x^20*z0^3 - 2*x^22 + 2*x^21*z0 - 2*x^20*z0^2 + x^18*z0^4 + 2*x^21 - 2*x^20*z0 + 2*x^19*z0^2 + 2*x^19*z0)/y) * dx,
+ ((-x^23*z0^4 + x^22*z0^4 - x^21*z0^4 + x^20*z0^4 - 2*x^19*z0^4 + x^19)/y) * dx,
+ ((-x^23*z0^4 - 2*x^23*z0^3 + x^22*z0^4 + 2*x^22*z0^3 - x^21*z0^4 - 2*x^21*z0^3 + 2*x^20*z0^4 + 2*x^20*z0^3 - x^19*z0^4 + x^19*z0^3 - x^20)/y) * dx]
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7len(decompoition_omega0_omega8(fff))[?7h[?12l[?25h[?25l[?7llen[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lle[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l())[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7llAS.holomorphic_diferentials_basis()[?7h[?12l[?25h[?25l[?7leAS.holomorphic_diferentials_basis()[?7h[?12l[?25h[?25l[?7lnAS.holomorphic_diferentials_basis()[?7h[?12l[?25h[?25l[?7llen(AS.holomorphic_diferentials_basis()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: len(AS.holomorphic_differentials_basis())

+[?7h[?12l[?25h[?2004lIncrease precision.
+[?7h192
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7llen(AS.holomorphic_differentials_basis())[?7h[?12l[?25h[?25l[?7l(()[?7h[?12l[?25h[?25l[?7l()[[?7h[?12l[?25h[?25l[?7l-[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7llenAS.holomorphic_diferentials_basis()[-1][?7h[?12l[?25h[?25l[?7lAS.holomorphic_diferentials_basis()[-1][?7h[?12l[?25h[?25l[?7lAS.holomorphic_diferentials_basis()[-1][?7h[?12l[?25h[?25l[?7lAS.holomorphic_diferentials_basis()[-1][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7loAS.holomorphic_diferentials_basis()[-1][?7h[?12l[?25h[?25l[?7lmAS.holomorphic_diferentials_basis()[-1][?7h[?12l[?25h[?25l[?7l AS.holomorphic_diferentials_basis()[-1][?7h[?12l[?25h[?25l[?7l=AS.holomorphic_diferentials_basis()[-1][?7h[?12l[?25h[?25l[?7l AS.holomorphic_diferentials_basis()[-1][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: om = AS.holomorphic_differentials_basis()[-1]

+[?7h[?12l[?25h[?2004lIncrease precision.
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lom = AS.holomorphic_differentials_basis()[-1][?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7lsage: om

+[?7h[?12l[?25h[?2004l[?7h((-x^23*z0^4 - 2*x^23*z0^3 + x^22*z0^4 + 2*x^22*z0^3 - x^21*z0^4 - 2*x^21*z0^3 + 2*x^20*z0^4 + 2*x^20*z0^3 - x^19*z0^4 + x^19*z0^3 - x^20)/y) * dx
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lom[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7l.jth_component(1)[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: om.expansion(pt = 0)

+[?7h[?12l[?25h[?2004l[?7h3 + 2*t^6 + 4*t^8 + O(t^10)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lom.expansion(pt = 0)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l(()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l-))[?7h[?12l[?25h[?25l[?7l1))[?7h[?12l[?25h[?25l[?7l,))[?7h[?12l[?25h[?25l[?7l ))[?7h[?12l[?25h[?25l[?7l0))[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: om.expansion(pt = (-1, 0))

+[?7h[?12l[?25h[?2004l[?7ht^4 + 2*t^6 + 3*t^12 + 4*t^14 + t^16 + t^20 + 4*t^22 + 2*t^26 + 3*t^44 + O(t^46)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC = superelliptic(x^3 + 1, 2)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l((3*C.x+3*C.one)^(-1)).expansion_at_infty()[?7h[?12l[?25h[?25l[?7lC.x+C.one)^(-1[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7ly.teichmuller()).diffn().frobenius() == C.y^2*C.y.diffn()[?7h[?12l[?25h[?25l[?7l/[?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l().[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7ly[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: (C.y/C.x).expansion_at_infty()

+[?7h[?12l[?25h[?2004l[?7ht^-1 + 4*t^5 + 3*t^11 + 3*t^17 + O(t^19)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(C.y/C.x).expansion_at_infty()[?7h[?12l[?25h[?25l[?7lomexpansion(pt = (-1, 0))[?7h[?12l[?25h[?25l[?7l0)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l = AS.holomorphic_differentials_basis()[-1][?7h[?12l[?25h[?25l[?7llen(AS.holomorphic_diferentials_basis())[?7h[?12l[?25h[?25l[?7lAS.holomrphic_dfferentials_bais()[?7h[?12l[?25h[?25l[?7llen(AS.hlomorphc_differential_basis())[?7h[?12l[?25h[?25l[?7lom = AS.holomorphic_diferentials_basis()[-1][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l.expansion(pt = 0)[?7h[?12l[?25h[?25l[?7l(-1, 0))[?7h[?12l[?25h[?25l[?7l(Cy/C.x).expansion_at_infty()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(C.y/C.x).expansion_at_infty()[?7h[?12l[?25h[?25l[?7lomexpansion(pt = (-1, 0))[?7h[?12l[?25h[?25l[?7l0)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l = AS.holomorphic_differentials_basis()[-1][?7h[?12l[?25h[?25l[?7llen(AS.holomorphic_diferentials_basis())[?7h[?12l[?25h[?25l[?7lAS.holomrphic_dfferentials_bais()[?7h[?12l[?25h[?25l[?7l((3*C.x+3*C.one)^(-1)).expansion_at_infty()[?7h[?12l[?25h[?25l[?7lAS.z_series[0][0]^5 - AS.z_series[0][0][?7h[?12l[?25h[?25l[?7l = as_cover(C, [(3*C.x+3*C.on)^(-1)], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l[()][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[()][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[()][?7h[?12l[?25h[?25l[?7l[()][?7h[?12l[?25h[?25l[?7l], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7l], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7l], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7l], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7l], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7l], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7l], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7l], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7l], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7l], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7l], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7l], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7l], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7l], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7l], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7l], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7l], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7l], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7l], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7l], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7lC], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7l.], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7ly], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7l/], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7lC], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7l.], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7lx], prec = 50, branch_points = [(-1, 0)])[?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[()][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[()][?7h[?12l[?25h[?25l[?7l,])[?7h[?12l[?25h[?25l[?7l ])[?7h[?12l[?25h[?25l[?7l(])[?7h[?12l[?25h[?25l[?7l1])[?7h[?12l[?25h[?25l[?7l,])[?7h[?12l[?25h[?25l[?7l ])[?7h[?12l[?25h[?25l[?7l0])[?7h[?12l[?25h[?25l[?7l)])[?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: AS = as_cover(C, [C.y/C.x], prec = 50, branch_points = [(-1, 0), (1, 0)])

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS = as_cover(C, [C.y/C.x], prec = 50, branch_points = [(-1, 0), (1, 0)])[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lh[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7llomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lsage: AS.holomorphic_differentials_basis()

+[?7h[?12l[?25h[?2004lI haven't found all forms.
+---------------------------------------------------------------------------
+NameError                                 Traceback (most recent call last)
+Input In [74], in <cell line: 1>()
+----> 1 AS.holomorphic_differentials_basis()
+
+File <string>:147, in holomorphic_differentials_basis(self, threshold)
+
+NameError: name 'holomorphic_differentials_basis' is not defined
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7l = as_cover(C, [C.y/C.x], prec = 50, branch_points = [(-1, 0), (1, 0)])[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l[()][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[()][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l0, branch_points = [(-1, 0), (1, 0)])[?7h[?12l[?25h[?25l[?7l20, branch_points = [(-1, 0), (1, 0)])[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l0, branch_points = [(-1, 0), (1, 0)])[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: AS = as_cover(C, [C.y/C.x], prec = 200, branch_points = [(-1, 0), (1, 0)])

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS = as_cover(C, [C.y/C.x], prec = 200, branch_points = [(-1, 0), (1, 0)])[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lholomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lsage: AS.holomorphic_differentials_basis()

+[?7h[?12l[?25h[?2004lI haven't found all forms.
+---------------------------------------------------------------------------
+NameError                                 Traceback (most recent call last)
+Input In [76], in <cell line: 1>()
+----> 1 AS.holomorphic_differentials_basis()
+
+File <string>:147, in holomorphic_differentials_basis(self, threshold)
+
+NameError: name 'holomorphic_differentials_basis' is not defined
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7l = as_cover(C, [C.y/C.x], prec = 200, branch_points = [(-1, 0), (1, 0)])[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l[()][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[()][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l0, branch_points = [(-1, 0), (1, 0)])[?7h[?12l[?25h[?25l[?7l50, branch_points = [(-1, 0), (1, 0)])[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[()][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[()][?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: AS = as_cover(C, [C.y/C.x], prec = 500, branch_points = [(-1, 0), (1, 0)])

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS = as_cover(C, [C.y/C.x], prec = 500, branch_points = [(-1, 0), (1, 0)])[?7h[?12l[?25h[?25l[?7l.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lsage: AS.holomorphic_differentials_basis()

+[?7h[?12l[?25h[?2004lI haven't found all forms.
+---------------------------------------------------------------------------
+NameError                                 Traceback (most recent call last)
+Input In [78], in <cell line: 1>()
+----> 1 AS.holomorphic_differentials_basis()
+
+File <string>:147, in holomorphic_differentials_basis(self, threshold)
+
+NameError: name 'holomorphic_differentials_basis' is not defined
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7lt)[?7h[?12l[?25h[?25l[?7lh)[?7h[?12l[?25h[?25l[?7lr)[?7h[?12l[?25h[?25l[?7le)[?7h[?12l[?25h[?25l[?7ls)[?7h[?12l[?25h[?25l[?7lh)[?7h[?12l[?25h[?25l[?7lo)[?7h[?12l[?25h[?25l[?7ll)[?7h[?12l[?25h[?25l[?7ld)[?7h[?12l[?25h[?25l[?7l )[?7h[?12l[?25h[?25l[?7l=)[?7h[?12l[?25h[?25l[?7l )[?7h[?12l[?25h[?25l[?7l1)[?7h[?12l[?25h[?25l[?7l5)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: AS.holomorphic_differentials_basis(threshold = 15)

+[?7h[?12l[?25h[?2004lI haven't found all forms.
+---------------------------------------------------------------------------
+NameError                                 Traceback (most recent call last)
+Input In [79], in <cell line: 1>()
+----> 1 AS.holomorphic_differentials_basis(threshold = Integer(15))
+
+File <string>:147, in holomorphic_differentials_basis(self, threshold)
+
+NameError: name 'holomorphic_differentials_basis' is not defined
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis(threshold = 15)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l2)[?7h[?12l[?25h[?25l[?7l0)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: AS.holomorphic_differentials_basis(threshold = 20)

+[?7h[?12l[?25h[?2004lI haven't found all forms.
+---------------------------------------------------------------------------
+NameError                                 Traceback (most recent call last)
+Input In [80], in <cell line: 1>()
+----> 1 AS.holomorphic_differentials_basis(threshold = Integer(20))
+
+File <string>:147, in holomorphic_differentials_basis(self, threshold)
+
+NameError: name 'holomorphic_differentials_basis' is not defined
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis(threshold = 20)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l0)[?7h[?12l[?25h[?25l[?7l30)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: AS.holomorphic_differentials_basis(threshold = 30)

+[?7h[?12l[?25h[?2004lI haven't found all forms.
+---------------------------------------------------------------------------
+NameError                                 Traceback (most recent call last)
+Input In [81], in <cell line: 1>()
+----> 1 AS.holomorphic_differentials_basis(threshold = Integer(30))
+
+File <string>:147, in holomorphic_differentials_basis(self, threshold)
+
+NameError: name 'holomorphic_differentials_basis' is not defined
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis(threshold = 30)[?7h[?12l[?25h[?25l[?7l2[?7h[?12l[?25h[?25l[?7l3[?7h[?12l[?25h[?25l[?7l2[?7h[?12l[?25h[?25l[?7l15[?7h[?12l[?25h[?25l[?7l20[?7h[?12l[?25h[?25l[?7l3[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis(threshold = 30)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis(threshold = 30)[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7lseries[?7h[?12l[?25h[?25l[?7lsage: AS.x_series

+[?7h[?12l[?25h[?2004l[?7h{0: t^-10 + 3*t^-6 + t^-2 + t^20 + 4*t^24 + t^40 + 4*t^44 + 2*t^50 + t^60 + 4*t^64 + 4*t^70 + t^80 + 4*t^84 + t^90 + t^100 + 4*t^104 + 2*t^110 + 3*t^114 + 2*t^118 + t^120 + t^122 + 4*t^124 + 3*t^140 + 2*t^148 + 2*t^150 + 3*t^160 + 2*t^168 + 4*t^174 + 3*t^180 + 2*t^188 + 3*t^190 + 3*t^194 + 3*t^200 + 2*t^208 + 2*t^218 + 3*t^220 + t^222 + 2*t^228 + 4*t^230 + t^234 + t^244 + 4*t^248 + 2*t^250 + t^260 + 3*t^264 + 2*t^268 + t^270 + 4*t^272 + 3*t^274 + t^280 + 3*t^284 + 2*t^288 + t^290 + 4*t^292 + 4*t^294 + t^298 + t^300 + 3*t^304 + 2*t^308 + 4*t^312 + 3*t^314 + 4*t^318 + 4*t^320 + t^322 + 2*t^328 + t^330 + 4*t^332 + t^334 + 3*t^338 + 2*t^340 + 4*t^348 + 3*t^350 + 4*t^352 + 2*t^354 + 4*t^358 + 3*t^360 + 2*t^372 + 2*t^374 + 3*t^384 + 2*t^392 + 3*t^394 + 3*t^398 + 3*t^404 + 2*t^410 + 2*t^412 + 2*t^414 + 3*t^418 + 4*t^420 + t^422 + 4*t^424 + t^430 + 2*t^432 + 4*t^438 + 4*t^440 + 2*t^444 + 2*t^448 + 2*t^452 + t^454 + 2*t^458 + 4*t^460 + t^464 + t^468 + 2*t^470 + 4*t^472 + t^474 + t^488 + O(t^490),
+ (-1,
+  0): 4 + 2*t^2 + 4*t^4 + 3*t^10 + 4*t^12 + 3*t^14 + 2*t^20 + t^22 + 2*t^24 + t^30 + 3*t^32 + t^34 + t^50 + 3*t^52 + t^54 + 2*t^60 + t^62 + 2*t^64 + 3*t^70 + 4*t^72 + 3*t^74 + 4*t^80 + 2*t^82 + 4*t^84 + 3*t^250 + 4*t^252 + 3*t^254 + t^260 + 3*t^262 + t^264 + 4*t^270 + 2*t^272 + 4*t^274 + 2*t^280 + t^282 + 2*t^284 + 2*t^300 + t^302 + 2*t^304 + 4*t^310 + 2*t^312 + 4*t^314 + t^320 + 3*t^322 + t^324 + 3*t^330 + 4*t^332 + 3*t^334 + 2*t^500 + t^502 + 2*t^504 + 4*t^510 + 2*t^512 + 4*t^514 + t^520 + 3*t^522 + t^524 + 3*t^530 + 4*t^532 + 3*t^534 + 3*t^550 + 4*t^552 + 3*t^554 + t^560 + 3*t^562 + t^564 + 4*t^570 + 2*t^572 + 4*t^574 + 2*t^580 + t^582 + 2*t^584 + t^750 + 3*t^752 + t^754 + 2*t^760 + t^762 + 2*t^764 + 3*t^770 + 4*t^772 + 3*t^774 + 4*t^780 + 2*t^782 + 4*t^784 + 4*t^800 + 2*t^802 + 4*t^804 + 3*t^810 + 4*t^812 + 3*t^814 + 2*t^820 + t^822 + 2*t^824 + t^830 + 3*t^832 + t^834,
+ (1,
+  0): 1 + 3*t^2 + 4*t^4 + 4*t^6 + 4*t^8 + 4*t^10 + 4*t^12 + 4*t^14 + 4*t^16 + 4*t^18 + 4*t^20 + 4*t^22 + 4*t^24 + 4*t^26 + 4*t^28 + 4*t^30 + 4*t^32 + 4*t^34 + 4*t^36 + 4*t^38 + 4*t^40 + 4*t^42 + 4*t^44 + 4*t^46 + 4*t^48 + 4*t^50 + 4*t^52 + 4*t^54 + 4*t^56 + 4*t^58 + 4*t^60 + 4*t^62 + 4*t^64 + 4*t^66 + 4*t^68 + 4*t^70 + 4*t^72 + 4*t^74 + 4*t^76 + 4*t^78 + 4*t^80 + 4*t^82 + 4*t^84 + 4*t^86 + 4*t^88 + 4*t^90 + 4*t^92 + 4*t^94 + 4*t^96 + 4*t^98 + 4*t^100 + 4*t^102 + 4*t^104 + 4*t^106 + 4*t^108 + 4*t^110 + 4*t^112 + 4*t^114 + 4*t^116 + 4*t^118 + 4*t^120 + 4*t^122 + 4*t^124 + 4*t^126 + 4*t^128 + 4*t^130 + 4*t^132 + 4*t^134 + 4*t^136 + 4*t^138 + 4*t^140 + 4*t^142 + 4*t^144 + 4*t^146 + 4*t^148 + 4*t^150 + 4*t^152 + 4*t^154 + 4*t^156 + 4*t^158 + 4*t^160 + 4*t^162 + 4*t^164 + 4*t^166 + 4*t^168 + 4*t^170 + 4*t^172 + 4*t^174 + 4*t^176 + 4*t^178 + 4*t^180 + 4*t^182 + 4*t^184 + 4*t^186 + 4*t^188 + 4*t^190 + 4*t^192 + 4*t^194 + 4*t^196 + 4*t^198 + 4*t^200 + 4*t^202 + 4*t^204 + 4*t^206 + 4*t^208 + 4*t^210 + 4*t^212 + 4*t^214 + 4*t^216 + 4*t^218 + 4*t^220 + 4*t^222 + 4*t^224 + 4*t^226 + 4*t^228 + 4*t^230 + 4*t^232 + 4*t^234 + 4*t^236 + 4*t^238 + 4*t^240 + 4*t^242 + 4*t^244 + 4*t^246 + 4*t^248 + 4*t^250 + 4*t^252 + 4*t^254 + 4*t^256 + 4*t^258 + 4*t^260 + 4*t^262 + 4*t^264 + 4*t^266 + 4*t^268 + 4*t^270 + 4*t^272 + 4*t^274 + 4*t^276 + 4*t^278 + 4*t^280 + 4*t^282 + 4*t^284 + 4*t^286 + 4*t^288 + 4*t^290 + 4*t^292 + 4*t^294 + 4*t^296 + 4*t^298 + 4*t^300 + 4*t^302 + 4*t^304 + 4*t^306 + 4*t^308 + 4*t^310 + 4*t^312 + 4*t^314 + 4*t^316 + 4*t^318 + 4*t^320 + 4*t^322 + 4*t^324 + 4*t^326 + 4*t^328 + 4*t^330 + 4*t^332 + 4*t^334 + 4*t^336 + 4*t^338 + 4*t^340 + 4*t^342 + 4*t^344 + 4*t^346 + 4*t^348 + 4*t^350 + 4*t^352 + 4*t^354 + 4*t^356 + 4*t^358 + 4*t^360 + 4*t^362 + 4*t^364 + 4*t^366 + 4*t^368 + 4*t^370 + 4*t^372 + 4*t^374 + 4*t^376 + 4*t^378 + 4*t^380 + 4*t^382 + 4*t^384 + 4*t^386 + 4*t^388 + 4*t^390 + 4*t^392 + 4*t^394 + 4*t^396 + 4*t^398 + 4*t^400 + 4*t^402 + 4*t^404 + 4*t^406 + 4*t^408 + 4*t^410 + 4*t^412 + 4*t^414 + 4*t^416 + 4*t^418 + 4*t^420 + 4*t^422 + 4*t^424 + 4*t^426 + 4*t^428 + 4*t^430 + 4*t^432 + 4*t^434 + 4*t^436 + 4*t^438 + 4*t^440 + 4*t^442 + 4*t^444 + 4*t^446 + 4*t^448 + 4*t^450 + 4*t^452 + 4*t^454 + 4*t^456 + 4*t^458 + 4*t^460 + 4*t^462 + 4*t^464 + 4*t^466 + 4*t^468 + 4*t^470 + 4*t^472 + 4*t^474 + 4*t^476 + 4*t^478 + 4*t^480 + 4*t^482 + 4*t^484 + 4*t^486 + 4*t^488 + 4*t^490 + 4*t^492 + 4*t^494 + 4*t^496 + 4*t^498 + 4*t^500 + 4*t^502 + 4*t^504 + 4*t^506 + 4*t^508 + 4*t^510 + 4*t^512 + 4*t^514 + 4*t^516 + 4*t^518 + 4*t^520 + 4*t^522 + 4*t^524 + 4*t^526 + 4*t^528 + 4*t^530 + 4*t^532 + 4*t^534 + 4*t^536 + 4*t^538 + 4*t^540 + 4*t^542 + 4*t^544 + 4*t^546 + 4*t^548 + 4*t^550 + 4*t^552 + 4*t^554 + 4*t^556 + 4*t^558 + 4*t^560 + 4*t^562 + 4*t^564 + 4*t^566 + 4*t^568 + 4*t^570 + 4*t^572 + 4*t^574 + 4*t^576 + 4*t^578 + 4*t^580 + 4*t^582 + 4*t^584 + 4*t^586 + 4*t^588 + 4*t^590 + 4*t^592 + 4*t^594 + 4*t^596 + 4*t^598 + 4*t^600 + 4*t^602 + 4*t^604 + 4*t^606 + 4*t^608 + 4*t^610 + 4*t^612 + 4*t^614 + 4*t^616 + 4*t^618 + 4*t^620 + 4*t^622 + 4*t^624 + 4*t^626 + 4*t^628 + 4*t^630 + 4*t^632 + 4*t^634 + 4*t^636 + 4*t^638 + 4*t^640 + 4*t^642 + 4*t^644 + 4*t^646 + 4*t^648 + 4*t^650 + 4*t^652 + 4*t^654 + 4*t^656 + 4*t^658 + 4*t^660 + 4*t^662 + 4*t^664 + 4*t^666 + 4*t^668 + 4*t^670 + 4*t^672 + 4*t^674 + 4*t^676 + 4*t^678 + 4*t^680 + 4*t^682 + 4*t^684 + 4*t^686 + 4*t^688 + 4*t^690 + 4*t^692 + 4*t^694 + 4*t^696 + 4*t^698 + 4*t^700 + 4*t^702 + 4*t^704 + 4*t^706 + 4*t^708 + 4*t^710 + 4*t^712 + 4*t^714 + 4*t^716 + 4*t^718 + 4*t^720 + 4*t^722 + 4*t^724 + 4*t^726 + 4*t^728 + 4*t^730 + 4*t^732 + 4*t^734 + 4*t^736 + 4*t^738 + 4*t^740 + 4*t^742 + 4*t^744 + 4*t^746 + 4*t^748 + 4*t^750 + 4*t^752 + 4*t^754 + 4*t^756 + 4*t^758 + 4*t^760 + 4*t^762 + 4*t^764 + 4*t^766 + 4*t^768 + 4*t^770 + 4*t^772 + 4*t^774 + 4*t^776 + 4*t^778 + 4*t^780 + 4*t^782 + 4*t^784 + 4*t^786 + 4*t^788 + 4*t^790 + 4*t^792 + 4*t^794 + 4*t^796 + 4*t^798 + 4*t^800 + 4*t^802 + 4*t^804 + 4*t^806 + 4*t^808 + 4*t^810 + 4*t^812 + 4*t^814 + 4*t^816 + 4*t^818 + 4*t^820 + 4*t^822 + 4*t^824 + 4*t^826 + 4*t^828 + 4*t^830 + 4*t^832 + 4*t^834 + 4*t^836 + 4*t^838 + 4*t^840 + 4*t^842 + 4*t^844 + 4*t^846 + 4*t^848 + 4*t^850 + 4*t^852 + 4*t^854 + 4*t^856 + 4*t^858 + 4*t^860 + 4*t^862 + 4*t^864 + 4*t^866 + 4*t^868 + 4*t^870 + 4*t^872 + 4*t^874 + 4*t^876 + 4*t^878 + 4*t^880 + 4*t^882 + 4*t^884 + 4*t^886 + 4*t^888 + 4*t^890 + 4*t^892 + 4*t^894 + 4*t^896 + 4*t^898 + 4*t^900 + 4*t^902 + 4*t^904 + 4*t^906 + 4*t^908 + 4*t^910 + 4*t^912 + 4*t^914 + 4*t^916 + 4*t^918 + 4*t^920 + 4*t^922 + 4*t^924 + 4*t^926 + 4*t^928 + 4*t^930 + 4*t^932 + 4*t^934 + 4*t^936 + 4*t^938 + 4*t^940 + 4*t^942 + 4*t^944 + 4*t^946 + 4*t^948 + 4*t^950 + 4*t^952 + 4*t^954 + 4*t^956 + 4*t^958 + 4*t^960 + 4*t^962 + 4*t^964 + 4*t^966 + 4*t^968 + 4*t^970 + 4*t^972 + 4*t^974 + 4*t^976 + 4*t^978 + 4*t^980 + 4*t^982 + 4*t^984 + 4*t^986 + 4*t^988 + 4*t^990 + 4*t^992 + 4*t^994 + 4*t^996 + 4*t^998 + 4*t^1000}
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.x_series[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lz[0][0]^5 - AS.z_series[0][0][?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7lsage: AS.z_series

+[?7h[?12l[?25h[?2004l[?7h{0: [t^-1],
+ (-1,
+  0): [t + 2*t^3 + 4*t^5 + 4*t^7 + 4*t^11 + 3*t^13 + 4*t^15 + t^17 + 4*t^25 + 4*t^35 + 2*t^51 + 4*t^53 + 3*t^57 + 3*t^61 + t^63 + 2*t^65 + 2*t^67 + 4*t^75 + t^85 + 3*t^101 + t^103 + 4*t^105 + 2*t^107 + 2*t^111 + 4*t^113 + t^115 + 3*t^117 + 4*t^125 + 4*t^151 + 3*t^153 + 2*t^155 + t^157 + t^161 + 2*t^163 + 3*t^165 + 4*t^167 + 4*t^175 + 4*t^251 + 3*t^253 + 4*t^255 + t^257 + t^261 + 2*t^263 + 2*t^265 + 4*t^267 + 3*t^285 + 3*t^301 + t^303 + 2*t^305 + 2*t^307 + 2*t^311 + 4*t^313 + 2*t^315 + 3*t^317 + 2*t^325 + 2*t^335 + 2*t^351 + 4*t^353 + t^355 + 3*t^357 + 3*t^361 + t^363 + 4*t^365 + 2*t^367 + 4*t^375 + t^401 + 2*t^403 + 3*t^405 + 4*t^407 + 4*t^411 + 3*t^413 + 2*t^415 + t^417 + t^425 + O(t^501)],
+ (1,
+  0): [4*t + 3*t^3 + 4*t^5 + 2*t^7 + t^9 + t^11 + 2*t^13 + 3*t^15 + 3*t^17 + 4*t^19 + 4*t^21 + 3*t^23 + 4*t^25 + 2*t^27 + t^29 + t^31 + 2*t^33 + 2*t^35 + 3*t^37 + 4*t^39 + 4*t^41 + 3*t^43 + t^45 + 2*t^47 + t^49 + t^51 + 2*t^53 + t^55 + 3*t^57 + 4*t^59 + 4*t^61 + 3*t^63 + 2*t^65 + 2*t^67 + t^69 + t^71 + 2*t^73 + 3*t^75 + 3*t^77 + 4*t^79 + 4*t^81 + 3*t^83 + 3*t^85 + 2*t^87 + t^89 + t^91 + 2*t^93 + 4*t^95 + 3*t^97 + 4*t^99 + 4*t^101 + 3*t^103 + 4*t^105 + 2*t^107 + t^109 + t^111 + 2*t^113 + 3*t^115 + 3*t^117 + 4*t^119 + 4*t^121 + 3*t^123 + 4*t^125 + 2*t^127 + t^129 + t^131 + 2*t^133 + 2*t^135 + 3*t^137 + 4*t^139 + 4*t^141 + 3*t^143 + t^145 + 2*t^147 + t^149 + t^151 + 2*t^153 + t^155 + 3*t^157 + 4*t^159 + 4*t^161 + 3*t^163 + 2*t^165 + 2*t^167 + t^169 + t^171 + 2*t^173 + 2*t^175 + 3*t^177 + 4*t^179 + 4*t^181 + 3*t^183 + 3*t^185 + 2*t^187 + t^189 + t^191 + 2*t^193 + 4*t^195 + 3*t^197 + 4*t^199 + 4*t^201 + 3*t^203 + 4*t^205 + 2*t^207 + t^209 + t^211 + 2*t^213 + 3*t^215 + 3*t^217 + 4*t^219 + 4*t^221 + 3*t^223 + t^225 + 2*t^227 + t^229 + t^231 + 2*t^233 + 2*t^235 + 3*t^237 + 4*t^239 + 4*t^241 + 3*t^243 + t^245 + 2*t^247 + t^249 + t^251 + 2*t^253 + t^255 + 3*t^257 + 4*t^259 + 4*t^261 + 3*t^263 + 2*t^265 + 2*t^267 + t^269 + t^271 + 2*t^273 + t^275 + 3*t^277 + 4*t^279 + 4*t^281 + 3*t^283 + 3*t^285 + 2*t^287 + t^289 + t^291 + 2*t^293 + 4*t^295 + 3*t^297 + 4*t^299 + 4*t^301 + 3*t^303 + 4*t^305 + 2*t^307 + t^309 + t^311 + 2*t^313 + 3*t^315 + 3*t^317 + 4*t^319 + 4*t^321 + 3*t^323 + 2*t^325 + 2*t^327 + t^329 + t^331 + 2*t^333 + 2*t^335 + 3*t^337 + 4*t^339 + 4*t^341 + 3*t^343 + t^345 + 2*t^347 + t^349 + t^351 + 2*t^353 + t^355 + 3*t^357 + 4*t^359 + 4*t^361 + 3*t^363 + 2*t^365 + 2*t^367 + t^369 + t^371 + 2*t^373 + 3*t^375 + 3*t^377 + 4*t^379 + 4*t^381 + 3*t^383 + 3*t^385 + 2*t^387 + t^389 + t^391 + 2*t^393 + 4*t^395 + 3*t^397 + 4*t^399 + 4*t^401 + 3*t^403 + 4*t^405 + 2*t^407 + t^409 + t^411 + 2*t^413 + 3*t^415 + 3*t^417 + 4*t^419 + 4*t^421 + 3*t^423 + 3*t^425 + 2*t^427 + t^429 + t^431 + 2*t^433 + 2*t^435 + 3*t^437 + 4*t^439 + 4*t^441 + 3*t^443 + t^445 + 2*t^447 + t^449 + t^451 + 2*t^453 + t^455 + 3*t^457 + 4*t^459 + 4*t^461 + 3*t^463 + 2*t^465 + 2*t^467 + t^469 + t^471 + 2*t^473 + 4*t^475 + 3*t^477 + 4*t^479 + 4*t^481 + 3*t^483 + 3*t^485 + 2*t^487 + t^489 + t^491 + 2*t^493 + 4*t^495 + 3*t^497 + 4*t^499 + O(t^501)]}
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7llen(AS.holomorphic_differentials_basis())[?7h[?12l[?25h[?25l[?7load('init.sage')[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l1 1
+4 + 2*t^2 + 4*t^4 + 3*t^10 + 4*t^12 + 3*t^14 + 2*t^20 + t^22 + 2*t^24 + t^30 + 3*t^32 + t^34 + t^50 + 3*t^52 + t^54 + 2*t^60 + t^62 + 2*t^64 + 3*t^70 + 4*t^72 + 3*t^74 + 4*t^80 + 2*t^82 + 4*t^84
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lAS.z_series[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7lholomorphic_differentials_basis(threshold = 30)[?7h[?12l[?25h[?25l[?7l2[?7h[?12l[?25h[?25l[?7l15[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l = as_cover(C, [C.y/C.x], prec = 500, branch_points = [(-1, 0), (1, 0)])[?7h[?12l[?25h[?25l[?7l.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7l = as_cover(C, [C.y/C.x], prec = 200, branch_points = [(-1, 0), (1, 0)])[?7h[?12l[?25h[?25l[?7l.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7l = as_cover(C, [C.y/C.x], prec = 50, branch_points = [(-1, 0), (1, 0)])[?7h[?12l[?25h[?25l[?7l(C.y/C.x).expansion_at_infty()[?7h[?12l[?25h[?25l[?7lAS = as_cover(C, [C.y/C.x], prec = 50, branch_points = [(-1, 0), (1, 0)])[?7h[?12l[?25h[?25l[?7lsage: AS = as_cover(C, [C.y/C.x], prec = 50, branch_points = [(-1, 0), (1, 0)])

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS = as_cover(C, [C.y/C.x], prec = 50, branch_points = [(-1, 0), (1, 0)])[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lAS.z_series[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7lholomorphic_differentials_basis(threshold = 30)[?7h[?12l[?25h[?25l[?7lsage: AS.holomorphic_differentials_basis(threshold = 30)

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+TypeError                                 Traceback (most recent call last)
+Input In [86], in <cell line: 1>()
+----> 1 AS.holomorphic_differentials_basis(threshold = Integer(30))
+
+File <string>:146, in holomorphic_differentials_basis(self, threshold)
+
+TypeError: can only concatenate str (not "int") to str
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis(threshold = 30)[?7h[?12l[?25h[?25l[?7l = as_cover(C, [C.y/C.x], prec = 50, branch_points = [(-1, 0), (1, 0)])[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l1 1
+4 + 2*t^2 + 4*t^4 + 3*t^10 + 4*t^12 + 3*t^14 + 2*t^20 + t^22 + 2*t^24 + t^30 + 3*t^32 + t^34 + t^50 + 3*t^52 + t^54 + 2*t^60 + t^62 + 2*t^64 + 3*t^70 + 4*t^72 + 3*t^74 + 4*t^80 + 2*t^82 + 4*t^84
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis(threshold = 30)[?7h[?12l[?25h[?25l[?7l = as_cover(C, [C.y/C.x], prec = 50, branch_points = [(-1, 0), (1, 0)])[?7h[?12l[?25h[?25l[?7lsage: AS = as_cover(C, [C.y/C.x], prec = 50, branch_points = [(-1, 0), (1, 0)])

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS = as_cover(C, [C.y/C.x], prec = 50, branch_points = [(-1, 0), (1, 0)])[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis(threshold = 30)[?7h[?12l[?25h[?25l[?7lsage: AS.holomorphic_differentials_basis(threshold = 30)

+[?7h[?12l[?25h[?2004lI haven't found all forms, only  5  of  9
+---------------------------------------------------------------------------
+NameError                                 Traceback (most recent call last)
+Input In [89], in <cell line: 1>()
+----> 1 AS.holomorphic_differentials_basis(threshold = Integer(30))
+
+File <string>:147, in holomorphic_differentials_basis(self, threshold)
+
+NameError: name 'holomorphic_differentials_basis' is not defined
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis(threshold = 30)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l0)[?7h[?12l[?25h[?25l[?7l40)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: AS.holomorphic_differentials_basis(threshold = 40)

+[?7h[?12l[?25h[?2004lI haven't found all forms, only  5  of  9
+---------------------------------------------------------------------------
+NameError                                 Traceback (most recent call last)
+Input In [90], in <cell line: 1>()
+----> 1 AS.holomorphic_differentials_basis(threshold = Integer(40))
+
+File <string>:147, in holomorphic_differentials_basis(self, threshold)
+
+NameError: name 'holomorphic_differentials_basis' is not defined
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l1 1
+4 + 2*t^2 + 4*t^4 + 3*t^10 + 4*t^12 + 3*t^14 + 2*t^20 + t^22 + 2*t^24 + t^30 + 3*t^32 + t^34 + t^50 + 3*t^52 + t^54 + 2*t^60 + t^62 + 2*t^64 + 3*t^70 + 4*t^72 + 3*t^74 + 4*t^80 + 2*t^82 + 4*t^84
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis(threshold = 40)[?7h[?12l[?25h[?25l[?7l3[?7h[?12l[?25h[?25l[?7l = as_cover(C, [C.y/C.x], prec = 50, branch_points = [(-1, 0), (1, 0)])[?7h[?12l[?25h[?25l[?7lsage: AS = as_cover(C, [C.y/C.x], prec = 50, branch_points = [(-1, 0), (1, 0)])

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS = as_cover(C, [C.y/C.x], prec = 50, branch_points = [(-1, 0), (1, 0)])[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis(threshold = 40)[?7h[?12l[?25h[?25l[?7lsage: AS.holomorphic_differentials_basis(threshold = 40)

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+IndexError                                Traceback (most recent call last)
+Input In [93], in <cell line: 1>()
+----> 1 AS.holomorphic_differentials_basis(threshold = Integer(40))
+
+File <string>:143, in holomorphic_differentials_basis(self, threshold)
+
+File <string>:398, in holomorphic_combinations(S)
+
+IndexError: list index out of range
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis(threshold = 40)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l0)[?7h[?12l[?25h[?25l[?7l20)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: AS.holomorphic_differentials_basis(threshold = 20)

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+IndexError                                Traceback (most recent call last)
+Input In [94], in <cell line: 1>()
+----> 1 AS.holomorphic_differentials_basis(threshold = Integer(20))
+
+File <string>:143, in holomorphic_differentials_basis(self, threshold)
+
+File <string>:398, in holomorphic_combinations(S)
+
+IndexError: list index out of range
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis(threshold = 20)[?7h[?12l[?25h[?25l[?7l4[?7h[?12l[?25h[?25l[?7l = as_cover(C, [C.y/C.x], prec = 50, branch_points = [(-1, 0), (1, 0)])[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l[()][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[()][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l0, branch_points = [(-1, 0), (1, 0)])[?7h[?12l[?25h[?25l[?7l20, branch_points = [(-1, 0), (1, 0)])[?7h[?12l[?25h[?25l[?7l0, branch_points = [(-1, 0), (1, 0)])[?7h[?12l[?25h[?25l[?7l0, branch_points = [(-1, 0), (1, 0)])[?7h[?12l[?25h[?25l[?7l, branch_points = [(-1, 0), (1, 0)])[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[()][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[()][?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: AS = as_cover(C, [C.y/C.x], prec = 200, branch_points = [(-1, 0), (1, 0)])

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS = as_cover(C, [C.y/C.x], prec = 200, branch_points = [(-1, 0), (1, 0)])[?7h[?12l[?25h[?25l[?7l.holomorphic_differentials_basis(threshold = 20)[?7h[?12l[?25h[?25l[?7lsage: AS.holomorphic_differentials_basis(threshold = 20)

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+IndexError                                Traceback (most recent call last)
+Input In [96], in <cell line: 1>()
+----> 1 AS.holomorphic_differentials_basis(threshold = Integer(20))
+
+File <string>:143, in holomorphic_differentials_basis(self, threshold)
+
+File <string>:398, in holomorphic_combinations(S)
+
+IndexError: list index out of range
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l1 1
+4 + 2*t^2 + 4*t^4 + 3*t^10 + 4*t^12 + 3*t^14 + 2*t^20 + t^22 + 2*t^24 + t^30 + 3*t^32 + t^34 + t^50 + 3*t^52 + t^54 + 2*t^60 + t^62 + 2*t^64 + 3*t^70 + 4*t^72 + 3*t^74 + 4*t^80 + 2*t^82 + 4*t^84
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis(threshold = 20)[?7h[?12l[?25h[?25l[?7l = as_cover(C, [C.y/C.x], prec = 200, branch_points = [(-1, 0), (1, 0)])[?7h[?12l[?25h[?25l[?7lsage: AS = as_cover(C, [C.y/C.x], prec = 200, branch_points = [(-1, 0), (1, 0)])

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS = as_cover(C, [C.y/C.x], prec = 200, branch_points = [(-1, 0), (1, 0)])[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis(threshold = 20)[?7h[?12l[?25h[?25l[?7lsage: AS.holomorphic_differentials_basis(threshold = 20)

+[?7h[?12l[?25h[?2004lI haven't found all forms, only  5  of  9
+---------------------------------------------------------------------------
+NameError                                 Traceback (most recent call last)
+Input In [99], in <cell line: 1>()
+----> 1 AS.holomorphic_differentials_basis(threshold = Integer(20))
+
+File <string>:147, in holomorphic_differentials_basis(self, threshold)
+
+NameError: name 'holomorphic_differentials_basis' is not defined
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis(threshold = 20)[?7h[?12l[?25h[?25l[?7l = as_cover(C, [C.y/C.x], prec = 200, branch_points = [(-1, 0), (1, 0)])[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l[()][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[()][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l], prec = 20, branch_points = [(-1, 0), (1, 0)])[?7h[?12l[?25h[?25l[?7l], prec = 20, branch_points = [(-1, 0), (1, 0)])[?7h[?12l[?25h[?25l[?7l], prec = 20, branch_points = [(-1, 0), (1, 0)])[?7h[?12l[?25h[?25l[?7l], prec = 20, branch_points = [(-1, 0), (1, 0)])[?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[()][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[()][?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l(()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l(()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l0)[?7h[?12l[?25h[?25l[?7l0)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7lsage: AS = as_cover(C, [C.y], prec = 200)

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS = as_cover(C, [C.y], prec = 200)[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.holomorphic_differentials_basis(threshold = 20)[?7h[?12l[?25h[?25l[?7lholomorphic_differentials_basis(threshold = 20)[?7h[?12l[?25h[?25l[?7lsage: AS.holomorphic_differentials_basis(threshold = 20)

+[?7h[?12l[?25h[?2004l[?7h[(1) * dx,
+ (1/y) * dx,
+ (z0/y) * dx,
+ (z0^2/y) * dx,
+ (z0^3/y) * dx,
+ (z0^4/y) * dx,
+ (x/y) * dx,
+ (x*z0/y) * dx,
+ (x*z0^2/y) * dx]
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l1 1
+4 + 2*t^2 + 4*t^4 + 3*t^10 + 4*t^12 + 3*t^14 + 2*t^20 + t^22 + 2*t^24 + t^30 + 3*t^32 + t^34 + t^50 + 3*t^52 + t^54 + 2*t^60 + t^62 + 2*t^64 + 3*t^70 + 4*t^72 + 3*t^74 + 4*t^80 + 2*t^82 + 4*t^84
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis(threshold = 20)[?7h[?12l[?25h[?25l[?7lsage: AS.holomorphic_differentials_basis(threshold = 20)

+[?7h[?12l[?25h[?2004l[?7h[(1) * dx,
+ (1/y) * dx,
+ (z0/y) * dx,
+ (z0^2/y) * dx,
+ (z0^3/y) * dx,
+ (z0^4/y) * dx,
+ (x/y) * dx,
+ (x*z0/y) * dx,
+ (x*z0^2/y) * dx]
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis(threshold = 20)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l2(threshold = 20)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: AS.holomorphic_differentials_basis2(threshold = 20)

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+AttributeError                            Traceback (most recent call last)
+Input In [104], in <cell line: 1>()
+----> 1 AS.holomorphic_differentials_basis2(threshold = Integer(20))
+
+AttributeError: 'as_cover' object has no attribute 'holomorphic_differentials_basis2'
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7l('init.sage')[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l.sage')[?7h[?12l[?25h[?25l[?7l.sage')[?7h[?12l[?25h[?25l[?7l.sage')[?7h[?12l[?25h[?25l[?7l.sage')[?7h[?12l[?25h[?25l[?7ld.sage')[?7h[?12l[?25h[?25l[?7lr.sage')[?7h[?12l[?25h[?25l[?7la.sage')[?7h[?12l[?25h[?25l[?7ld.sage')[?7h[?12l[?25h[?25l[?7lt.sage')[?7h[?12l[?25h[?25l[?7l/.sage')[?7h[?12l[?25h[?25l[?7l.sage')[?7h[?12l[?25h[?25l[?7l.sage')[?7h[?12l[?25h[?25l[?7l.sage')[?7h[?12l[?25h[?25l[?7lf.sage')[?7h[?12l[?25h[?25l[?7lt.sage')[?7h[?12l[?25h[?25l[?7l/.sage')[?7h[?12l[?25h[?25l[?7l2.sage')[?7h[?12l[?25h[?25l[?7lg.sage')[?7h[?12l[?25h[?25l[?7lp.sage')[?7h[?12l[?25h[?25l[?7lc.sage')[?7h[?12l[?25h[?25l[?7lo.sage')[?7h[?12l[?25h[?25l[?7lv.sage')[?7h[?12l[?25h[?25l[?7le.sage')[?7h[?12l[?25h[?25l[?7lr.sage')[?7h[?12l[?25h[?25l[?7ls.sage')[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: load('draft/2gpcovers.sage')

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+OSError                                   Traceback (most recent call last)
+Input In [105], in <cell line: 1>()
+----> 1 load('draft/2gpcovers.sage')
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:244, in load(filename, globals, attach)
+    242         break
+    243 else:
+--> 244     raise IOError('did not find file %r to load or attach' % filename)
+    246 ext = os.path.splitext(fpath)[1].lower()
+    247 if ext == '.py':
+
+OSError: did not find file 'draft/2gpcovers.sage' to load or attach
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('draft/2gpcovers.sage')[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ly/2gpcovers.sage')[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: load('drafty/2gpcovers.sage')

+[?7h[?12l[?25h[?2004l1 1
+4 + 2*t^2 + 4*t^4 + 3*t^10 + 4*t^12 + 3*t^14 + 2*t^20 + t^22 + 2*t^24 + t^30 + 3*t^32 + t^34 + t^50 + 3*t^52 + t^54 + 2*t^60 + t^62 + 2*t^64 + 3*t^70 + 4*t^72 + 3*t^74 + 4*t^80 + 2*t^82 + 4*t^84
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('drafty/2gpcovers.sage')[?7h[?12l[?25h[?25l[?7l/2gpcovers.sage')[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis2(threshold = 20)[?7h[?12l[?25h[?25l[?7lsage: AS.holomorphic_differentials_basis2(threshold = 20)

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+AttributeError                            Traceback (most recent call last)
+Input In [107], in <cell line: 1>()
+----> 1 AS.holomorphic_differentials_basis2(threshold = Integer(20))
+
+AttributeError: 'as_cover' object has no attribute 'holomorphic_differentials_basis2'
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7las_cover.holomorphic_differentials_basis2 = holomorphic_differentials_basis2[?7h[?12l[?25h[?25l[?7lsage: as_cover.holomorphic_differentials_basis2 = holomorphic_differentials_basis2

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7las_cover.holomorphic_differentials_basis2 = holomorphic_differentials_basis2[?7h[?12l[?25h[?25l[?7lAS.hlomorphic_differentials_basi2(threshold = 20)[?7h[?12l[?25h[?25l[?7lsage: AS.holomorphic_differentials_basis2(threshold = 20)

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+AttributeError                            Traceback (most recent call last)
+Input In [109], in <cell line: 1>()
+----> 1 AS.holomorphic_differentials_basis2(threshold = Integer(20))
+
+AttributeError: 'as_cover' object has no attribute 'holomorphic_differentials_basis2'
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7las_cover.holomorphic_differentials_basis2 = holomorphic_differentials_basis2[?7h[?12l[?25h[?25l[?7las[?7h[?12l[?25h[?25l[?7las_[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lv[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lsage: as_cover(

+  C=                                           %%!                                          AS3                                           

+  branch_points=                               AA                                           AbelianGroup                                  

+  list_of_fcts=                                AS                                           AbelianGroupMorphism                         >

+  prec=                                        AS1                                          AbelianGroupWithValues                        

+ [?7h[?12l[?25h[?25l[?7l

+

+

+

+[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7las[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('drafty/2gpcovers.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lin[?7h[?12l[?25h[?25l[?7lini[?7h[?12l[?25h[?25l[?7lin[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l;[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l'drafty/2gpcovers.sage')[?7h[?12l[?25h[?25l[?7linit.sage')[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7l(t.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l1 1
+4 + 2*t^2 + 4*t^4 + 3*t^10 + 4*t^12 + 3*t^14 + 2*t^20 + t^22 + 2*t^24 + t^30 + 3*t^32 + t^34 + t^50 + 3*t^52 + t^54 + 2*t^60 + t^62 + 2*t^64 + 3*t^70 + 4*t^72 + 3*t^74 + 4*t^80 + 2*t^82 + 4*t^84
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lsage: 

+ [?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis2(threshold = 20)[?7h[?12l[?25h[?25l[?7las_cver.holomorphic_differential_basis2 = holomorphic_differentials_basis2[?7h[?12l[?25h[?25l[?7lsage: as_cover.holomorphic_differentials_basis2 = holomorphic_differentials_basis2

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7las_cover.holomorphic_differentials_basis2 = holomorphic_differentials_basis2[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis2(threshold = 20)[?7h[?12l[?25h[?25l[?7las_cver.holomorphic_differential_basis2 = holomorphic_differentials_basis2[?7h[?12l[?25h[?25l[?7lAS.hlomorphic_differentials_basi2(threshold = 20)[?7h[?12l[?25h[?25l[?7lload('drafty/2gpcovers.sage')[?7h[?12l[?25h[?25l[?7l/2gpcovers.sage')[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis2(threshold = 20)[?7h[?12l[?25h[?25l[?7l(threshold = 20)[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis(threshold = 20)[?7h[?12l[?25h[?25l[?7l = as_cover(C, [C.y], prec = 200)[?7h[?12l[?25h[?25l[?7lsage: AS = as_cover(C, [C.y], prec = 200)

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS = as_cover(C, [C.y], prec = 200)[?7h[?12l[?25h[?25l[?7las_cover.holomorphic_differentials_basis2 = holomorphic_differentials_basis2[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis2(threshold = 20)[?7h[?12l[?25h[?25l[?7lsage: AS.holomorphic_differentials_basis2(threshold = 20)

+[?7h[?12l[?25h[?2004l[?7h[(1) * dx,
+ (1/y) * dx,
+ (z0/y) * dx,
+ (z0^2/y) * dx,
+ (z0^3/y) * dx,
+ (z0^4/y) * dx,
+ (x/y) * dx,
+ (x*z0/y) * dx,
+ (x*z0^2/y) * dx]
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l1 1
+4 + 2*t^2 + 4*t^4 + 3*t^10 + 4*t^12 + 3*t^14 + 2*t^20 + t^22 + 2*t^24 + t^30 + 3*t^32 + t^34 + t^50 + 3*t^52 + t^54 + 2*t^60 + t^62 + 2*t^64 + 3*t^70 + 4*t^72 + 3*t^74 + 4*t^80 + 2*t^82 + 4*t^84
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis2(threshold = 20)[?7h[?12l[?25h[?25l[?7l = as_cover(C, [C.y], prec = 200)[?7h[?12l[?25h[?25l[?7las_cover.holomorphic_differentials_basis2 = holomorphic_differentials_basis2[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis2(threshold = 20)[?7h[?12l[?25h[?25l[?7las_cver.holomorphic_differential_basis2 = holomorphic_differentials_basis2[?7h[?12l[?25h[?25l[?7lAS.hlomorphic_differentials_basi2(threshold = 20)[?7h[?12l[?25h[?25l[?7lload('drafty/2gpcovers.sage')[?7h[?12l[?25h[?25l[?7l/2gpcovers.sage')[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis2(threshold = 20)[?7h[?12l[?25h[?25l[?7l(threshold = 20)[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis(threshold = 20)[?7h[?12l[?25h[?25l[?7l = as_cover(C, [C.y], prec = 200)[?7h[?12l[?25h[?25l[?7l.holomorphic_differentials_basis(threshold = 20)[?7h[?12l[?25h[?25l[?7l = as_cover(C, [C.y/C.x], prec = 200, branch_points = [(-1, 0), (1, 0)])[?7h[?12l[?25h[?25l[?7lsage: AS = as_cover(C, [C.y/C.x], prec = 200, branch_points = [(-1, 0), (1, 0)])

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS = as_cover(C, [C.y/C.x], prec = 200, branch_points = [(-1, 0), (1, 0)])[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis2(threshold = 20)[?7h[?12l[?25h[?25l[?7lsage: AS.holomorphic_differentials_basis2(threshold = 20)

+[?7h[?12l[?25h[?2004lIncrease precision.
+[?7h[((-x^61*z0^3 + x^58*y^2*z0^3 + 2*x^59*z0^3 + x^60*z0 + 2*x^58*z0^3 - 2*x^56*y^2*z0^3 - 2*x^59*z0 - x^57*y^2*z0 + x^57*z0^3 - x^55*y^2*z0^3 + 2*x^56*y^2*z0 - 2*x^56*z0^3 - x^54*y^2*z0^3 - x^57*z0 - 2*x^55*z0^3 + 2*x^56*z0 - x^54*z0^3 + 2*x^53*z0^3 + x^54*z0 + 2*x^52*z0^3 - 2*x^53*z0 + x^51*z0^3 - 2*x^50*z0^3 - x^51*z0 - 2*x^49*z0^3 + 2*x^50*z0 - x^48*z0^3 + 2*x^47*z0^3 + x^48*z0 + 2*x^46*z0^3 - 2*x^47*z0 + x^45*z0^3 - 2*x^44*z0^3 - x^45*z0 - 2*x^43*z0^3 + 2*x^44*z0 - x^42*z0^3 + x^41*z0^3 - x^39*y*z0^4 + x^42*z0 + 2*x^40*y*z0^2 + 2*x^40*z0^3 - 2*x^38*y*z0^4 - 2*x^41*z0 - x^39*z0^3 - 2*x^37*y*z0^4 + 2*x^40*z0 - x^38*y*z0^2 - 2*x^38*z0^3 + x^36*y*z0^4 - x^39*y + 2*x^37*z0^3 - 2*x^35*y*z0^4 - x^38*y + x^36*y*z0^2 + 2*x^36*z0^3 + 2*x^34*y*z0^4 - x^37*z0 + x^35*y*z0^2 + 2*x^35*z0^3 - x^33*y*z0^4 - x^36*y - x^36*z0 - 2*x^34*y*z0^2 - 2*x^34*z0^3 - 2*x^32*y*z0^4 + 2*x^35*y - 2*x^35*z0 + x^33*y*z0^2 - 2*x^31*y*z0^4 - 2*x^34*y - x^32*y*z0^2 - x^32*z0^3 - 2*x^33*y + 2*x^33*z0 - x^31*y*z0^2 + 2*x^31*z0^3 - x^29*y*z0^4 + x^32*z0 + x^30*z0^3 + x^28*y*z0^4 + 2*x^31*y + x^31*z0 + x^29*y*z0^2 - 2*x^29*z0^3 + 2*x^27*y*z0^4 - 2*x^30*y + x^30*z0 - 2*x^28*y*z0^2 + x^28*z0^3 + x^26*y*z0^4 - x^29*y - 2*x^27*y*z0^2 - 2*x^27*z0^3 - x^28*y + x^28*z0 - 2*x^26*y*z0^2 + 2*x^24*y*z0^4 - 2*x^27*y - x^27*z0 - 2*x^25*y*z0^2 - x^25*z0^3 - x^23*y*z0^4 - 2*x^26*y - x^26*z0 - 2*x^24*y*z0^2 - 2*x^24*z0^3 + x^22*y*z0^4 - x^25*y - x^25*z0 + 2*x^23*y*z0^2 - x^23*z0^3 - x^21*y*z0^4 - 2*x^24*y + 2*x^24*z0 - x^23*y - x^23*z0 + x^21*y*z0^2 - 2*x^21*z0^3 + x^19*y*z0^4 + 2*x^22*y + 2*x^21*y - 2*x^21*z0 - 2*x^19*y*z0^2 - 2*x^19*z0^3 - 2*x^20*y + x^20*z0 - x^18*y*z0^2 - 2*x^18*z0^3 + 2*x^16*y*z0^4 + 2*x^19*y - 2*x^19*z0 - 2*x^17*y*z0^2 - 2*x^17*z0^3 - 2*x^18*y + x^18*z0 - x^16*z0^3 - 2*x^14*y*z0^4 + x^17*y - 2*x^15*y*z0^2 + 2*x^13*y*z0^4 - 2*x^16*z0 - 2*x^14*y*z0^2 + 2*x^14*z0^3 + 2*x^12*y*z0^4 - 2*x^15*z0 + 2*x^13*y*z0^2 - x^13*z0^3 + 2*x^11*y*z0^4 - 2*x^14*y - 2*x^14*z0 - x^12*y*z0^2 + x^12*z0^3 + 2*x^10*y*z0^4 + 2*x^11*z0^3 - 2*x^12*y - 2*x^10*y*z0^2 + 2*x^10*z0^3 - x^8*y*z0^4 - 2*x^11*z0 + x^9*y*z0^2 - x^9*z0^3 - x^7*y*z0^4 - x^10*y - 2*x^10*z0 + x^8*y*z0^2 + x^6*y*z0^4 + x^9*y - x^9*z0 + x^7*y*z0^2 + x^7*z0^3 + x^5*y*z0^4 + 2*x^8*y - x^8*z0 - 2*x^6*y*z0^2 + 2*x^6*z0^3 + 2*x^4*y*z0^4 + 2*x^7*y + x^7*z0 + x^5*z0^3 - 2*x^3*y*z0^4 - x^6*y + x^4*y*z0^2 + 2*x^4*z0^3 - 2*x^2*y*z0^4 + 2*x^5*y - 2*x^5*z0 - 2*x^3*y*z0^2 + 2*x^3*z0^3 + 2*x^4*y - 2*x^4*z0 - x^2*y*z0^2 - 2*x^2*z0^3 + 2*x^3*y - 2*x^3*z0 + 2*x^2*z0 + y)/y) * dx,
+ ((x^61*z0^4 - 2*x^60*z0^4 - x^58*y^2*z0^4 - 2*x^59*z0^4 + 2*x^57*y^2*z0^4 - 2*x^60*z0^2 - x^58*z0^4 + 2*x^56*y^2*z0^4 - 2*x^61 + 2*x^57*y^2*z0^2 + 2*x^57*z0^4 + x^60 + 2*x^58*y^2 + 2*x^56*z0^4 - x^57*y^2 + 2*x^57*z0^2 + x^55*z0^4 + 2*x^58 - 2*x^54*z0^4 - x^57 - 2*x^53*z0^4 - 2*x^54*z0^2 - x^52*z0^4 - 2*x^55 + 2*x^51*z0^4 + x^54 + 2*x^50*z0^4 + 2*x^51*z0^2 + x^49*z0^4 + 2*x^52 - 2*x^48*z0^4 - x^51 - 2*x^47*z0^4 - 2*x^48*z0^2 - x^46*z0^4 - 2*x^49 + 2*x^45*z0^4 + x^48 + 2*x^44*z0^4 + 2*x^45*z0^2 + x^43*z0^4 + 2*x^46 - 2*x^42*z0^4 - x^45 - 2*x^41*z0^4 - 2*x^42*z0^2 - 2*x^40*y*z0^3 + 2*x^40*z0^4 - 2*x^43 + x^39*z0^4 + x^42 - x^38*y*z0^3 - x^39*y*z0 + 2*x^39*z0^2 - x^37*y*z0^3 + x^37*z0^4 - 2*x^40 + x^38*y*z0 + 2*x^36*z0^4 + 2*x^39 + x^37*y*z0 - x^37*z0^2 + x^35*y*z0^3 - x^35*z0^4 + x^38 + 2*x^36*y*z0 - 2*x^36*z0^2 - 2*x^34*y*z0^3 - 2*x^34*z0^4 - 2*x^37 - x^35*y*z0 - 2*x^35*z0^2 + 2*x^33*y*z0^3 + x^33*z0^4 - x^36 + 2*x^34*y*z0 - x^34*z0^2 + 2*x^35 - 2*x^33*y*z0 + x^31*y*z0^3 - x^31*z0^4 - x^34 + 2*x^32*y*z0 + 2*x^32*z0^2 - x^30*y*z0^3 - x^31*z0^2 - 2*x^29*y*z0^3 + 2*x^29*z0^4 - 2*x^32 + x^30*y*z0 + x^30*z0^2 + x^28*y*z0^3 - x^28*z0^4 + x^31 - 2*x^29*y*z0 + x^27*y*z0^3 + x^27*z0^4 - x^28*y*z0 + x^28*z0^2 + 2*x^26*y*z0^3 + 2*x^27*y*z0 - 2*x^27*z0^2 - x^28 - x^26*y*z0 - 2*x^26*z0^2 + x^24*y*z0^3 - x^24*z0^4 - x^25*z0^2 + 2*x^23*y*z0^3 + x^23*z0^4 - x^26 + x^24*y*z0 - 2*x^24*z0^2 + x^22*z0^4 + x^23*y*z0 - 2*x^23*z0^2 + x^21*y*z0^3 - 2*x^21*z0^4 + x^24 + 2*x^22*y*z0 - 2*x^20*y*z0^3 - 2*x^20*z0^4 + x^23 - x^21*y*z0 + x^21*z0^2 - 2*x^19*y*z0^3 - x^19*z0^4 - 2*x^22 - x^18*z0^4 - x^21 - x^19*y*z0 - 2*x^19*z0^2 + x^17*y*z0^3 + x^17*z0^4 - x^20 - 2*x^18*y*z0 - 2*x^18*z0^2 - x^16*y*z0^3 + 2*x^16*z0^4 + 2*x^19 + x^17*y*z0 + x^17*z0^2 - x^15*y*z0^3 + x^15*z0^4 - x^18 + x^16*y*z0 - x^14*y*z0^3 + x^14*z0^4 - x^17 + 2*x^15*y*z0 - x^15*z0^2 + 2*x^13*z0^4 + x^14*y*z0 - x^14*z0^2 - 2*x^12*y*z0^3 + x^12*z0^4 + x^15 - 2*x^13*y*z0 - x^13*z0^2 + x^11*y*z0^3 + 2*x^11*z0^4 + x^14 - 2*x^12*y*z0 + x^12*z0^2 + 2*x^10*y*z0^3 - 2*x^13 - 2*x^9*y*z0^3 + x^9*z0^4 - x^12 + x^10*z0^2 + 2*x^8*y*z0^3 + x^8*z0^4 - 2*x^11 + x^9*y*z0 + 2*x^9*z0^2 + x^7*y*z0^3 + x^10 - 2*x^8*y*z0 + 2*x^8*z0^2 - 2*x^6*y*z0^3 - x^6*z0^4 + x^9 + 2*x^7*y*z0 - 2*x^7*z0^2 - x^5*y*z0^3 - x^8 + x^6*y*z0 + x^6*z0^2 + 2*x^4*y*z0^3 - x^7 + 2*x^5*y*z0 + x^3*y*z0^3 + x^3*z0^4 - 2*x^6 + x^4*z0^2 - 2*x^2*y*z0^3 + x^2*z0^4 + 2*x^5 + x^3*z0^2 - 2*x^2*y*z0 + 2*x^2*z0^2 - 2*x^3 + 2*x^2 + y*z0)/y) * dx,
+ ((2*x^61*z0^3 + x^60*z0^3 - 2*x^58*y^2*z0^3 - 2*x^61*z0 + x^59*z0^3 - x^57*y^2*z0^3 - 2*x^60*z0 + 2*x^58*y^2*z0 + x^58*z0^3 - x^56*y^2*z0^3 - x^59*z0 + 2*x^57*y^2*z0 + x^57*z0^3 + 2*x^55*y^2*z0^3 + 2*x^58*z0 + x^56*y^2*z0 - x^56*z0^3 - 2*x^54*y^2*z0^3 + 2*x^57*z0 - x^55*z0^3 + x^56*z0 - x^54*z0^3 - 2*x^55*z0 + x^53*z0^3 - 2*x^54*z0 + x^52*z0^3 - x^53*z0 + x^51*z0^3 + 2*x^52*z0 - x^50*z0^3 + 2*x^51*z0 - x^49*z0^3 + x^50*z0 - x^48*z0^3 - 2*x^49*z0 + x^47*z0^3 - 2*x^48*z0 + x^46*z0^3 - x^47*z0 + x^45*z0^3 + 2*x^46*z0 - x^44*z0^3 + 2*x^45*z0 - x^43*z0^3 + x^44*z0 - x^42*z0^3 - 2*x^43*z0 - 2*x^41*z0^3 + 2*x^39*y*z0^4 - 2*x^42*z0 + x^40*y*z0^2 + x^40*z0^3 - 2*x^38*y*z0^4 + 2*x^41*z0 - 2*x^39*y*z0^2 + x^37*y*z0^4 - x^40*y - 2*x^40*z0 + 2*x^38*y*z0^2 - x^38*z0^3 - 2*x^36*y*z0^4 + 2*x^39*z0 - x^37*y*z0^2 + x^37*z0^3 - x^38*y + x^38*z0 + 2*x^36*y*z0^2 - 2*x^36*z0^3 - 2*x^34*y*z0^4 - 2*x^37*y + x^35*y*z0^2 + 2*x^33*y*z0^4 + 2*x^36*y - x^34*y*z0^2 - 2*x^34*z0^3 - x^32*y*z0^4 - x^35*y + 2*x^35*z0 + 2*x^33*y*z0^2 + x^33*z0^3 + 2*x^31*y*z0^4 - 2*x^34*y + x^34*z0 - 2*x^32*y*z0^2 - x^32*z0^3 + 2*x^30*y*z0^4 + x^33*y - x^33*z0 - 2*x^31*y*z0^2 - 2*x^31*z0^3 - x^29*y*z0^4 + x^32*y + 2*x^32*z0 + x^30*y*z0^2 + x^30*z0^3 - 2*x^28*y*z0^4 - 2*x^31*z0 - 2*x^29*y*z0^2 + x^29*z0^3 + x^27*y*z0^4 - x^28*y*z0^2 - 2*x^26*y*z0^4 + x^29*y + x^29*z0 + 2*x^27*y*z0^2 + 2*x^25*y*z0^4 - x^28*y - x^28*z0 + x^26*z0^3 + 2*x^27*y - 2*x^27*z0 - 2*x^23*y*z0^4 - 2*x^26*y + 2*x^26*z0 - x^24*y*z0^2 + x^24*z0^3 + x^25*y + 2*x^23*y*z0^2 - x^24*y + x^24*z0 + 2*x^22*z0^3 - 2*x^20*y*z0^4 + 2*x^23*y - 2*x^23*z0 - 2*x^21*z0^3 + 2*x^19*y*z0^4 - 2*x^22*y + 2*x^22*z0 - x^20*y*z0^2 - 2*x^20*z0^3 + x^21*z0 - x^19*y*z0^2 - x^17*y*z0^4 + x^20*y - 2*x^18*y*z0^2 + x^18*z0^3 + 2*x^16*y*z0^4 + 2*x^19*y - x^17*y*z0^2 - 2*x^17*z0^3 - x^15*y*z0^4 - 2*x^18*y - x^18*z0 + 2*x^16*y*z0^2 - 2*x^16*z0^3 - 2*x^14*y*z0^4 - x^17*z0 - x^15*y*z0^2 - x^16*y - 2*x^16*z0 + x^14*z0^3 + 2*x^12*y*z0^4 - 2*x^15*y + x^15*z0 + 2*x^13*y*z0^2 - 2*x^11*y*z0^4 - x^14*z0 + 2*x^12*z0^3 + 2*x^10*y*z0^4 + 2*x^13*y + x^13*z0 - x^11*y*z0^2 + 2*x^11*z0^3 + x^10*z0^3 + 2*x^8*y*z0^4 - 2*x^9*y*z0^2 - 2*x^9*z0^3 + x^7*y*z0^4 + x^10*y - 2*x^10*z0 + x^8*y*z0^2 + x^8*z0^3 + 2*x^6*y*z0^4 - x^9*z0 + x^7*y*z0^2 + x^7*z0^3 + 2*x^5*y*z0^4 - x^8*z0 + x^6*y*z0^2 + 2*x^6*z0^3 - 2*x^4*y*z0^4 + 2*x^7*z0 + 2*x^5*z0^3 + 2*x^3*y*z0^4 + 2*x^6*z0 - x^4*y*z0^2 + x^2*y*z0^4 + 2*x^5*z0 + x^3*y*z0^2 - 2*x^3*z0^3 - 2*x^4*y + 2*x^2*z0^3 - x^2*y + y*z0^2)/y) * dx,
+ ((2*x^61*z0^4 - 2*x^58*y^2*z0^4 + 2*x^61*z0^2 - x^59*z0^4 - x^60*z0^2 - 2*x^58*y^2*z0^2 - 2*x^58*z0^4 + x^56*y^2*z0^4 + x^61 + x^57*y^2*z0^2 - x^58*y^2 - 2*x^58*z0^2 + x^56*z0^4 + x^57*z0^2 + 2*x^55*z0^4 - x^58 + 2*x^55*z0^2 - x^53*z0^4 - x^54*z0^2 - 2*x^52*z0^4 + x^55 - 2*x^52*z0^2 + x^50*z0^4 + x^51*z0^2 + 2*x^49*z0^4 - x^52 + 2*x^49*z0^2 - x^47*z0^4 - x^48*z0^2 - 2*x^46*z0^4 + x^49 - 2*x^46*z0^2 + x^44*z0^4 + x^45*z0^2 + 2*x^43*z0^4 - x^46 + 2*x^43*z0^2 - x^41*z0^4 - x^42*z0^2 + x^40*y*z0^3 - 2*x^40*z0^4 + x^43 + 2*x^41*z0^2 + 2*x^39*y*z0^3 + x^40*y*z0 - 2*x^40*z0^2 - 2*x^38*y*z0^3 - x^39*z0^2 + 2*x^37*y*z0^3 - 2*x^37*z0^4 + 2*x^40 - x^38*z0^2 + x^36*y*z0^3 + 2*x^36*z0^4 - x^39 - x^37*y*z0 + x^37*z0^2 + x^35*y*z0^3 - 2*x^35*z0^4 - 2*x^38 - 2*x^36*y*z0 + x^36*z0^2 - x^34*y*z0^3 - 2*x^34*z0^4 + x^37 - x^35*y*z0 - x^33*y*z0^3 - 2*x^33*z0^4 + 2*x^36 + x^34*y*z0 - 2*x^32*y*z0^3 + x^32*z0^4 - x^35 - x^33*y*z0 + 2*x^33*z0^2 + x^31*y*z0^3 - x^31*z0^4 + x^34 + 2*x^32*y*z0 + 2*x^32*z0^2 + 2*x^30*y*z0^3 + x^30*z0^4 + x^33 + x^31*z0^2 + 2*x^29*y*z0^3 - 2*x^30*z0^2 - 2*x^28*y*z0^3 + x^28*z0^4 - x^31 - 2*x^29*y*z0 - x^29*z0^2 + x^27*y*z0^3 - 2*x^27*z0^4 - x^30 - x^28*y*z0 - x^28*z0^2 - x^26*z0^4 - 2*x^29 + x^27*y*z0 + 2*x^27*z0^2 - 2*x^25*z0^4 - x^28 - x^26*y*z0 + 2*x^26*z0^2 - 2*x^24*y*z0^3 - x^24*z0^4 - x^27 + x^25*y*z0 - x^25*z0^2 - 2*x^23*y*z0^3 + 2*x^23*z0^4 - x^24*y*z0 - 2*x^24*z0^2 - 2*x^22*y*z0^3 - 2*x^22*z0^4 + 2*x^25 - 2*x^23*y*z0 - x^23*z0^2 - 2*x^21*y*z0^3 - 2*x^21*z0^4 - 2*x^24 - x^22*y*z0 + x^20*z0^4 + x^23 + x^21*y*z0 + x^21*z0^2 - x^19*y*z0^3 + x^19*z0^4 + 2*x^22 + 2*x^20*y*z0 - x^18*z0^4 - 2*x^21 - 2*x^19*z0^2 + x^17*z0^4 + 2*x^20 - x^18*y*z0 + 2*x^18*z0^2 - x^16*y*z0^3 - x^16*z0^4 - x^19 + 2*x^17*y*z0 - x^17*z0^2 - x^15*y*z0^3 - 2*x^15*z0^4 + 2*x^18 + 2*x^16*y*z0 + 2*x^16*z0^2 - x^14*y*z0^3 - 2*x^14*z0^4 - 2*x^17 - x^15*y*z0 + x^15*z0^2 - x^13*y*z0^3 + 2*x^13*z0^4 + 2*x^16 + x^14*y*z0 + 2*x^14*z0^2 + 2*x^12*y*z0^3 + x^15 - 2*x^13*y*z0 - 2*x^13*z0^2 - 2*x^11*y*z0^3 - 2*x^12*y*z0 - x^12*z0^2 + 2*x^10*y*z0^3 - x^10*z0^4 - 2*x^13 + 2*x^11*y*z0 - 2*x^9*z0^4 + x^12 - x^10*z0^2 + x^8*y*z0^3 - 2*x^8*z0^4 + x^11 - 2*x^9*y*z0 + x^7*y*z0^3 + 2*x^7*z0^4 - 2*x^10 + x^8*y*z0 - x^8*z0^2 + x^6*y*z0^3 - 2*x^6*z0^4 + x^9 - x^7*y*z0 - x^7*z0^2 + 2*x^5*y*z0^3 + 2*x^5*z0^4 + x^6*y*z0 + 2*x^4*y*z0^3 - x^4*z0^4 - 2*x^7 + 2*x^5*z0^2 + x^3*y*z0^3 - x^3*z0^4 + x^6 + 2*x^4*y*z0 + 2*x^4*z0^2 - 2*x^2*z0^4 + x^3*z0^2 - 2*x^2*y*z0 + x^2*z0^2 + y*z0^3 - 2*x^2)/y) * dx,
+ ((-2*x^61*z0^3 + 2*x^60*z0^3 + 2*x^58*y^2*z0^3 + 2*x^61*z0 + x^59*z0^3 - 2*x^57*y^2*z0^3 + x^60*z0 - 2*x^58*y^2*z0 - x^56*y^2*z0^3 - x^59*z0 - x^57*y^2*z0 + 2*x^57*z0^3 + 2*x^55*y^2*z0^3 - 2*x^58*z0 + x^56*y^2*z0 - x^56*z0^3 + x^54*y^2*z0^3 - x^57*z0 + x^56*z0 - 2*x^54*z0^3 + 2*x^55*z0 + x^53*z0^3 + x^54*z0 - x^53*z0 + 2*x^51*z0^3 - 2*x^52*z0 - x^50*z0^3 - x^51*z0 + x^50*z0 - 2*x^48*z0^3 + 2*x^49*z0 + x^47*z0^3 + x^48*z0 - x^47*z0 + 2*x^45*z0^3 - 2*x^46*z0 - x^44*z0^3 - x^45*z0 + x^44*z0 - 2*x^42*z0^3 + 2*x^43*z0 - x^41*z0^3 - 2*x^39*y*z0^4 + x^42*z0 - x^40*y*z0^2 - 2*x^40*z0^3 + x^41*z0 + 2*x^39*y*z0^2 + x^37*y*z0^4 + x^40*y - 2*x^40*z0 + x^38*y*z0^2 + x^38*z0^3 + x^36*y*z0^4 - x^39*y - 2*x^37*y*z0^2 + 2*x^37*z0^3 - x^35*y*z0^4 + x^38*y - x^38*z0 - x^36*y*z0^2 - 2*x^36*z0^3 + 2*x^34*y*z0^4 + 2*x^37*y + 2*x^37*z0 + x^33*y*z0^4 + x^36*y + 2*x^36*z0 + 2*x^34*y*z0^2 + x^34*z0^3 + x^32*y*z0^4 - x^35*y + 2*x^35*z0 + x^33*z0^3 - 2*x^31*y*z0^4 + x^34*y + 2*x^34*z0 - x^32*y*z0^2 + 2*x^32*z0^3 - 2*x^30*y*z0^4 + x^33*z0 + 2*x^31*y*z0^2 - 2*x^29*y*z0^4 + 2*x^32*y - x^32*z0 + x^30*z0^3 - x^31*y + 2*x^31*z0 + 2*x^29*y*z0^2 - x^27*y*z0^4 + x^30*y - 2*x^30*z0 + x^28*y*z0^2 - x^28*z0^3 - 2*x^26*y*z0^4 - 2*x^29*y + 2*x^27*z0^3 - x^25*y*z0^4 - x^28*y - x^28*z0 - x^26*y*z0^2 - 2*x^26*z0^3 - 2*x^24*y*z0^4 - x^27*y - 2*x^27*z0 + x^25*y*z0^2 + 2*x^25*z0^3 + 2*x^23*y*z0^4 + 2*x^26*y + 2*x^26*z0 + x^24*z0^3 - x^25*y + x^25*z0 + x^23*y*z0^2 + x^23*z0^3 - x^21*y*z0^4 - x^24*y - x^24*z0 + x^22*y*z0^2 - x^22*z0^3 + x^20*y*z0^4 + x^23*y + 2*x^21*y*z0^2 - 2*x^21*z0^3 - x^19*y*z0^4 - 2*x^22*y - x^22*z0 + x^20*y*z0^2 + 2*x^20*z0^3 - x^18*y*z0^4 - 2*x^21*z0 - 2*x^19*z0^3 + x^17*y*z0^4 + x^20*y - 2*x^20*z0 + 2*x^18*y*z0^2 + x^18*z0^3 + 2*x^16*y*z0^4 + 2*x^19*y + 2*x^19*z0 - x^17*y*z0^2 + x^15*y*z0^4 + 2*x^18*y + 2*x^18*z0 + 2*x^16*y*z0^2 + 2*x^16*z0^3 - 2*x^14*y*z0^4 + 2*x^17*y - 2*x^17*z0 + 2*x^15*z0^3 - 2*x^13*y*z0^4 + 2*x^16*y - x^14*y*z0^2 + x^14*z0^3 + 2*x^12*y*z0^4 + 2*x^15*y + 2*x^15*z0 - x^13*y*z0^2 + 2*x^13*z0^3 - 2*x^11*y*z0^4 + 2*x^14*y - 2*x^14*z0 - x^12*y*z0^2 - x^12*z0^3 + 2*x^10*y*z0^4 + 2*x^13*y - 2*x^13*z0 - x^11*y*z0^2 + x^11*z0^3 - x^9*y*z0^4 + 2*x^12*y + x^12*z0 - 2*x^10*y*z0^2 - 2*x^10*z0^3 + x^8*y*z0^4 + 2*x^11*y - 2*x^11*z0 + 2*x^9*y*z0^2 + 2*x^9*z0^3 - 2*x^7*y*z0^4 - 2*x^10*y + 2*x^8*y*z0^2 + 2*x^8*z0^3 - x^6*y*z0^4 + 2*x^9*y - 2*x^7*y*z0^2 + x^7*z0^3 + x^8*y - 2*x^8*z0 - x^6*z0^3 + 2*x^7*y - x^7*z0 - x^5*y*z0^2 - x^5*z0^3 + 2*x^3*y*z0^4 - 2*x^6*y - 2*x^6*z0 + x^4*y*z0^2 + 2*x^4*z0^3 + 2*x^5*z0 + x^3*y*z0^2 - x^3*z0^3 + x^4*y + x^4*z0 + 2*x^2*y*z0^2 - x^2*z0^3 + y*z0^4 + x^3*y - x^3*z0 + x^2*y + x^2*z0)/y) * dx,
+ ((-x^3 + y^2)/y) * dx,
+ ((-x^3*z0 + y^2*z0)/y) * dx,
+ ((-x^3*z0^2 + y^2*z0^2)/y) * dx,
+ ((-x^3*z0^3 + y^2*z0^3)/y) * dx,
+ ((-x^3*z0^4 + y^2*z0^4)/y) * dx,
+ ((x^61*z0^3 - x^60*z0^3 - x^58*y^2*z0^3 - 2*x^61*z0 - 2*x^59*z0^3 + x^57*y^2*z0^3 - 2*x^60*z0 + 2*x^58*y^2*z0 + 2*x^56*y^2*z0^3 - x^59*z0 + 2*x^57*y^2*z0 - x^55*y^2*z0^3 + 2*x^58*z0 + x^56*y^2*z0 + 2*x^56*z0^3 + x^54*y^2*z0^3 + 2*x^57*z0 + x^56*z0 - 2*x^55*z0 - 2*x^53*z0^3 - 2*x^54*z0 - x^53*z0 + 2*x^52*z0 + 2*x^50*z0^3 + 2*x^51*z0 + x^50*z0 - 2*x^49*z0 - 2*x^47*z0^3 - 2*x^48*z0 - x^47*z0 + 2*x^46*z0 + 2*x^44*z0^3 + 2*x^45*z0 + x^44*z0 - 2*x^43*z0 - x^41*z0^3 + x^39*y*z0^4 - 2*x^42*z0 - 2*x^40*y*z0^2 - 2*x^40*z0^3 - x^38*y*z0^4 + 2*x^41*z0 - 2*x^39*y*z0^2 - x^39*z0^3 - 2*x^37*y*z0^4 - x^40*y + x^40*z0 - x^38*y*z0^2 + 2*x^38*z0^3 - x^36*y*z0^4 - 2*x^39*y + 2*x^39*z0 + x^37*y*z0^2 - 2*x^37*z0^3 - 2*x^35*y*z0^4 + x^38*y + x^38*z0 + 2*x^36*y*z0^2 + 2*x^34*y*z0^4 - 2*x^37*y + x^37*z0 + 2*x^35*z0^3 + 2*x^33*y*z0^4 - x^36*y - x^34*y*z0^2 - x^34*z0^3 - 2*x^32*y*z0^4 + 2*x^35*y + 2*x^35*z0 + x^33*y*z0^2 + 2*x^33*z0^3 - x^31*y*z0^4 + x^34*z0 - 2*x^32*z0^3 + 2*x^33*y - 2*x^33*z0 + 2*x^31*z0^3 + x^29*y*z0^4 - 2*x^32*z0 + 2*x^30*z0^3 - x^28*y*z0^4 - x^31*y - 2*x^31*z0 + 2*x^29*y*z0^2 - x^29*z0^3 + 2*x^27*y*z0^4 - 2*x^30*y + x^30*z0 + 2*x^28*y*z0^2 - x^28*z0^3 + x^26*y*z0^4 - x^29*y - x^29*z0 + 2*x^27*y*z0^2 - x^27*z0^3 - x^25*y*z0^4 + x^28*y - 2*x^26*y*z0^2 + 2*x^26*z0^3 + x^24*y*z0^4 - 2*x^27*z0 + x^25*y*z0^2 - 2*x^25*z0^3 - x^23*y*z0^4 + x^26*y - x^26*z0 - x^24*y*z0^2 + x^24*z0^3 - x^22*y*z0^4 - x^25*y - 2*x^25*z0 + 2*x^23*y*z0^2 + 2*x^23*z0^3 + x^21*y*z0^4 + 2*x^24*y + x^24*z0 - x^22*y*z0^2 + 2*x^20*y*z0^4 + 2*x^23*y - x^23*z0 - x^21*y*z0^2 - x^21*z0^3 - 2*x^19*y*z0^4 + x^22*y - 2*x^22*z0 - x^20*y*z0^2 - x^20*z0^3 + x^21*y - x^21*z0 + 2*x^19*y*z0^2 + x^19*z0^3 - 2*x^17*y*z0^4 - 2*x^20*z0 + x^18*y*z0^2 - 2*x^18*z0^3 - x^16*y*z0^4 - 2*x^19*y - 2*x^19*z0 - x^17*y*z0^2 - 2*x^15*y*z0^4 + 2*x^18*y - 2*x^18*z0 - 2*x^16*y*z0^2 + x^14*y*z0^4 + x^17*y + 2*x^17*z0 + x^15*z0^3 + x^13*y*z0^4 - x^16*z0 - 2*x^14*y*z0^2 - 2*x^14*z0^3 + 2*x^12*y*z0^4 - x^15*y - 2*x^15*z0 + 2*x^13*y*z0^2 + 2*x^13*z0^3 + x^11*y*z0^4 + x^14*y - 2*x^14*z0 - 2*x^12*y*z0^2 + x^12*z0^3 + 2*x^10*y*z0^4 - 2*x^13*y - x^11*y*z0^2 - 2*x^9*y*z0^4 + x^12*y + x^12*z0 - x^10*y*z0^2 + 2*x^8*y*z0^4 + 2*x^11*z0 + 2*x^9*y*z0^2 + 2*x^9*z0^3 - x^7*y*z0^4 + 2*x^10*y - 2*x^10*z0 + 2*x^8*z0^3 + 2*x^6*y*z0^4 + x^9*y - 2*x^9*z0 + 2*x^7*y*z0^2 + x^7*z0^3 + x^5*y*z0^4 + 2*x^8*y + 2*x^8*z0 - x^6*y*z0^2 + x^4*y*z0^4 + 2*x^7*y - 2*x^5*y*z0^2 + 2*x^3*y*z0^4 - 2*x^6*y - x^6*z0 + 2*x^4*y*z0^2 + x^4*z0^3 - x^2*y*z0^4 + x^5*y + 2*x^5*z0 + x^3*y*z0^2 - 2*x^3*z0^3 + 2*x^4*y + 2*x^4*z0 + 2*x^2*z0^3 + 2*x^3*y - 2*x^3*z0 - x^2*y + x^2*z0 + x*y)/y) * dx,
+ ((-2*x^61*z0^4 + x^60*z0^4 + 2*x^58*y^2*z0^4 + 2*x^61*z0^2 + x^59*z0^4 - x^57*y^2*z0^4 + 2*x^60*z0^2 - 2*x^58*y^2*z0^2 + 2*x^58*z0^4 - x^56*y^2*z0^4 - 2*x^61 - 2*x^57*y^2*z0^2 - x^57*z0^4 + 2*x^58*y^2 - 2*x^58*z0^2 - x^56*z0^4 - 2*x^57*z0^2 - 2*x^55*z0^4 + 2*x^58 + x^54*z0^4 + 2*x^55*z0^2 + x^53*z0^4 + 2*x^54*z0^2 + 2*x^52*z0^4 - 2*x^55 - x^51*z0^4 - 2*x^52*z0^2 - x^50*z0^4 - 2*x^51*z0^2 - 2*x^49*z0^4 + 2*x^52 + x^48*z0^4 + 2*x^49*z0^2 + x^47*z0^4 + 2*x^48*z0^2 + 2*x^46*z0^4 - 2*x^49 - x^45*z0^4 - 2*x^46*z0^2 - x^44*z0^4 - 2*x^45*z0^2 - 2*x^43*z0^4 + 2*x^46 + x^42*z0^4 + 2*x^43*z0^2 - 2*x^41*z0^4 + 2*x^42*z0^2 - x^40*y*z0^3 + x^40*z0^4 - 2*x^43 + 2*x^41*z0^2 + 2*x^39*y*z0^3 + x^40*y*z0 + 2*x^40*z0^2 - x^38*z0^4 + 2*x^41 + 2*x^39*y*z0 + x^39*z0^2 + 2*x^37*y*z0^3 + 2*x^37*z0^4 + 2*x^40 - x^38*y*z0 - x^38*z0^2 + x^36*y*z0^3 - 2*x^36*z0^4 - 2*x^39 - x^37*y*z0 + x^35*z0^4 + x^38 + x^36*y*z0 - x^36*z0^2 + 2*x^34*y*z0^3 - x^37 + x^35*y*z0 + x^35*z0^2 - 2*x^33*y*z0^3 - 2*x^33*z0^4 + 2*x^36 + 2*x^34*y*z0 - 2*x^34*z0^2 + 2*x^32*z0^4 - 2*x^35 + 2*x^33*y*z0 - x^32*y*z0 + x^32*z0^2 + 2*x^30*y*z0^3 - x^33 - 2*x^31*y*z0 + 2*x^31*z0^2 - x^29*y*z0^3 + 2*x^29*z0^4 + x^32 - x^30*y*z0 - x^30*z0^2 - x^28*z0^4 + 2*x^29*y*z0 + x^27*y*z0^3 + x^30 + 2*x^28*z0^2 - 2*x^26*y*z0^3 - x^26*z0^4 + x^29 - 2*x^27*z0^2 - x^25*y*z0^3 + x^25*z0^4 - 2*x^28 - x^26*z0^2 - x^24*y*z0^3 - 2*x^25*y*z0 - x^25*z0^2 - x^23*z0^4 - 2*x^26 - 2*x^24*y*z0 + x^22*y*z0^3 + 2*x^25 + 2*x^23*y*z0 - x^23*z0^2 - x^21*y*z0^3 + x^21*z0^4 - 2*x^24 + 2*x^22*y*z0 - 2*x^20*y*z0^3 - x^20*z0^4 + 2*x^23 - 2*x^21*y*z0 - 2*x^21*z0^2 - 2*x^19*z0^4 + x^22 - x^20*y*z0 + 2*x^20*z0^2 + x^18*y*z0^3 - 2*x^18*z0^4 - 2*x^21 + x^19*y*z0 - x^19*z0^2 + x^17*y*z0^3 + x^17*z0^4 + x^20 + 2*x^18*y*z0 + 2*x^18*z0^2 + 2*x^16*y*z0^3 + 2*x^16*z0^4 - 2*x^19 + 2*x^15*z0^4 - 2*x^18 - 2*x^16*z0^2 - x^14*y*z0^3 + 2*x^14*z0^4 + 2*x^15*y*z0 - 2*x^15*z0^2 + 2*x^13*y*z0^3 + x^13*z0^4 - 2*x^16 - x^14*y*z0 + x^14*z0^2 - 2*x^12*y*z0^3 - x^12*z0^4 + x^15 - 2*x^13*y*z0 + 2*x^13*z0^2 + 2*x^11*y*z0^3 + x^11*z0^4 - x^14 - x^12*y*z0 + x^12*z0^2 + 2*x^10*y*z0^3 - 2*x^13 - 2*x^11*y*z0 + x^11*z0^2 - x^9*y*z0^3 + x^9*z0^4 - 2*x^10*y*z0 - 2*x^8*z0^4 + 2*x^11 - 2*x^9*z0^2 - 2*x^7*y*z0^3 - x^7*z0^4 - x^10 + x^8*y*z0 - x^8*z0^2 - x^6*y*z0^3 - 2*x^6*z0^4 + 2*x^9 + x^7*y*z0 - x^7*z0^2 - x^5*y*z0^3 - 2*x^5*z0^4 + x^6*y*z0 - x^6*z0^2 + x^7 - x^5*z0^2 - x^3*y*z0^3 - 2*x^3*z0^4 - x^6 - x^4*z0^2 - 2*x^2*y*z0^3 - x^2*z0^4 + x^3*y*z0 + x^3*z0^2 + 2*x^2*y*z0 + 2*x^2*z0^2 - x^3 + x*y*z0 + 2*x^2)/y) * dx,
+ ((-x^60*z0^3 + 2*x^61*z0 + x^59*z0^3 + x^57*y^2*z0^3 - x^60*z0 - 2*x^58*y^2*z0 - x^58*z0^3 - x^56*y^2*z0^3 + x^59*z0 + x^57*y^2*z0 - x^57*z0^3 + x^55*y^2*z0^3 - 2*x^58*z0 - x^56*y^2*z0 - x^56*z0^3 + 2*x^54*y^2*z0^3 + x^57*z0 + x^55*z0^3 - x^56*z0 + x^54*z0^3 + 2*x^55*z0 + x^53*z0^3 - x^54*z0 - x^52*z0^3 + x^53*z0 - x^51*z0^3 - 2*x^52*z0 - x^50*z0^3 + x^51*z0 + x^49*z0^3 - x^50*z0 + x^48*z0^3 + 2*x^49*z0 + x^47*z0^3 - x^48*z0 - x^46*z0^3 + x^47*z0 - x^45*z0^3 - 2*x^46*z0 - x^44*z0^3 + x^45*z0 + x^43*z0^3 - x^44*z0 + x^42*z0^3 + 2*x^43*z0 + x^41*z0^3 - x^42*z0 + x^40*z0^3 - 2*x^38*y*z0^4 - 2*x^41*z0 + 2*x^39*y*z0^2 + 2*x^39*z0^3 - x^37*y*z0^4 + x^40*y + x^40*z0 - 2*x^38*y*z0^2 + 2*x^36*y*z0^4 + 2*x^39*y + x^39*z0 + x^37*z0^3 + 2*x^35*y*z0^4 + 2*x^38*y - x^38*z0 - 2*x^36*y*z0^2 + x^36*z0^3 + 2*x^37*y + 2*x^37*z0 + 2*x^35*y*z0^2 - 2*x^35*z0^3 + 2*x^33*y*z0^4 - x^36*y + 2*x^36*z0 - 2*x^34*y*z0^2 - x^34*z0^3 - 2*x^32*y*z0^4 - 2*x^35*y + 2*x^35*z0 - x^33*z0^3 + x^31*y*z0^4 + 2*x^34*y - 2*x^32*y*z0^2 - x^32*z0^3 + x^30*y*z0^4 + x^33*y - 2*x^33*z0 + x^31*y*z0^2 + x^31*z0^3 - x^29*y*z0^4 + x^32*y - x^32*z0 - 2*x^30*y*z0^2 + 2*x^30*z0^3 - x^28*y*z0^4 - x^31*y + x^31*z0 + x^29*y*z0^2 - x^29*z0^3 + x^27*y*z0^4 + x^30*y - x^30*z0 + 2*x^28*y*z0^2 - 2*x^28*z0^3 - x^29*y - 2*x^29*z0 + 2*x^27*y*z0^2 - 2*x^27*z0^3 + 2*x^25*y*z0^4 + x^28*y + 2*x^28*z0 + 2*x^26*y*z0^2 + 2*x^26*z0^3 - x^24*y*z0^4 + 2*x^27*y - x^27*z0 + 2*x^25*y*z0^2 - 2*x^25*z0^3 - 2*x^23*y*z0^4 + x^26*y - x^26*z0 + x^25*z0 + x^23*y*z0^2 - x^24*y + x^24*z0 - 2*x^22*y*z0^2 + 2*x^22*z0^3 + x^23*y + 2*x^21*y*z0^2 + x^21*z0^3 + 2*x^19*y*z0^4 - x^22*z0 + x^20*y*z0^2 + 2*x^20*z0^3 - x^18*y*z0^4 + x^21*y - 2*x^21*z0 + x^19*y*z0^2 + 2*x^19*z0^3 + x^17*y*z0^4 + x^18*y*z0^2 + x^16*y*z0^4 - x^19*y + 2*x^19*z0 + x^17*y*z0^2 + 2*x^17*z0^3 - x^15*y*z0^4 + x^18*y + 2*x^18*z0 - 2*x^16*y*z0^2 - x^16*z0^3 - x^14*y*z0^4 - x^17*y + x^17*z0 + x^15*y*z0^2 - x^15*z0^3 - x^13*y*z0^4 + x^16*y - 2*x^16*z0 - x^14*y*z0^2 + x^14*z0^3 + x^12*y*z0^4 - 2*x^15*y - 2*x^15*z0 + 2*x^13*y*z0^2 - 2*x^13*z0^3 - x^11*y*z0^4 - 2*x^14*y + x^12*y*z0^2 - x^12*z0^3 + 2*x^10*y*z0^4 - 2*x^11*y*z0^2 + 2*x^11*z0^3 + 2*x^12*y + 2*x^12*z0 - 2*x^10*z0^3 - x^8*y*z0^4 - 2*x^11*z0 + x^9*y*z0^2 - x^9*z0^3 - 2*x^7*y*z0^4 - x^10*y + x^8*z0^3 + x^6*y*z0^4 - 2*x^9*z0 + x^7*y*z0^2 + 2*x^7*z0^3 + 2*x^5*y*z0^4 - 2*x^8*y - 2*x^8*z0 + 2*x^6*z0^3 + x^4*y*z0^4 + x^7*y - 2*x^7*z0 + 2*x^5*y*z0^2 - 2*x^5*z0^3 - 2*x^3*y*z0^4 - 2*x^6*y + x^6*z0 + 2*x^4*y*z0^2 - 2*x^2*y*z0^4 + 2*x^5*y - x^5*z0 - x^3*y*z0^2 + 2*x^3*z0^3 - 2*x^4*y + x^4*z0 - 2*x^2*z0^3 + x^3*y + x^3*z0 + x*y*z0^2 + 2*x^2*y)/y) * dx,
+ ((-x^60*z0^4 + x^57*y^2*z0^4 + x^60*z0^2 + 2*x^61 - x^57*y^2*z0^2 + x^57*z0^4 - 2*x^58*y^2 - x^57*z0^2 - 2*x^58 - x^54*z0^4 + x^54*z0^2 + 2*x^55 + x^51*z0^4 - x^51*z0^2 - 2*x^52 - x^48*z0^4 + x^48*z0^2 + 2*x^49 + x^45*z0^4 - x^45*z0^2 - 2*x^46 - x^42*z0^4 + x^41*z0^4 + x^42*z0^2 + x^40*z0^4 + 2*x^43 - x^39*z0^4 - 2*x^40*z0^2 + 2*x^38*z0^4 + x^41 - x^39*y*z0 - x^39*z0^2 + 2*x^37*y*z0^3 + x^37*z0^4 - 2*x^38*y*z0 + x^36*z0^4 - 2*x^39 - x^37*y*z0 + 2*x^37*z0^2 + 2*x^35*y*z0^3 + 2*x^38 - x^36*y*z0 + x^36*z0^2 + x^34*y*z0^3 + x^34*z0^4 + x^37 - 2*x^35*y*z0 + 2*x^35*z0^2 - 2*x^33*y*z0^3 + x^36 + 2*x^34*y*z0 + 2*x^34*z0^2 - x^32*y*z0^3 + 2*x^32*z0^4 - 2*x^33*y*z0 + 2*x^31*y*z0^3 - 2*x^31*z0^4 + x^34 - x^32*y*z0 - x^32*z0^2 + 2*x^30*z0^4 - x^33 - 2*x^31*y*z0 - x^29*y*z0^3 + 2*x^29*z0^4 - 2*x^32 - x^30*y*z0 - x^30*z0^2 - x^28*y*z0^3 + x^28*z0^4 - 2*x^31 + x^29*y*z0 - x^29*z0^2 - 2*x^27*y*z0^3 - x^27*z0^4 - x^30 - x^28*y*z0 + 2*x^28*z0^2 + x^26*y*z0^3 + x^26*z0^4 + x^29 + x^27*y*z0 + 2*x^27*z0^2 + 2*x^25*y*z0^3 + x^25*z0^4 + x^26*y*z0 + x^26*z0^2 + 2*x^24*y*z0^3 + 2*x^24*z0^4 - x^27 - 2*x^25*y*z0 - x^25*z0^2 - x^23*z0^4 + 2*x^26 - 2*x^24*y*z0 - 2*x^24*z0^2 - x^22*y*z0^3 - 2*x^22*z0^4 + 2*x^25 - x^23*y*z0 + x^23*z0^2 - x^21*z0^4 + x^22*y*z0 + x^22*z0^2 - x^20*y*z0^3 + x^20*z0^4 + x^23 + 2*x^21*y*z0 + 2*x^21*z0^2 + 2*x^19*y*z0^3 + x^22 + 2*x^20*y*z0 - x^20*z0^2 - 2*x^18*y*z0^3 - x^18*z0^4 - x^19*y*z0 + 2*x^19*z0^2 + x^17*y*z0^3 + 2*x^17*z0^4 - 2*x^20 + 2*x^16*y*z0^3 + x^16*z0^4 + x^17*y*z0 - x^15*y*z0^3 - x^15*z0^4 - x^14*y*z0^3 + x^17 - 2*x^15*y*z0 + 2*x^13*y*z0^3 + 2*x^13*z0^4 - x^16 + 2*x^14*y*z0 - 2*x^14*z0^2 - 2*x^12*y*z0^3 + 2*x^12*z0^4 + x^15 + x^13*z0^2 + 2*x^11*y*z0^3 + 2*x^11*z0^4 + x^14 - x^12*z0^2 - x^10*y*z0^3 - 2*x^11*y*z0 - x^11*z0^2 - x^9*y*z0^3 - x^9*z0^4 + 2*x^12 - 2*x^10*z0^2 - 2*x^8*y*z0^3 + 2*x^11 + x^9*y*z0 + 2*x^9*z0^2 + x^7*y*z0^3 - x^7*z0^4 - 2*x^10 + 2*x^8*y*z0 - x^6*z0^4 - 2*x^9 + 2*x^7*y*z0 + 2*x^5*y*z0^3 + x^5*z0^4 + 2*x^8 + x^6*y*z0 - 2*x^4*y*z0^3 + 2*x^4*z0^4 + x^5*y*z0 - 2*x^5*z0^2 - 2*x^3*y*z0^3 - x^3*z0^4 + 2*x^6 + 2*x^4*y*z0 - 2*x^4*z0^2 - 2*x^2*y*z0^3 - 2*x^2*z0^4 - 2*x^5 - 2*x^3*y*z0 - 2*x^3*z0^2 + x*y*z0^3 - 2*x^2*y*z0 - x^3 + 2*x^2)/y) * dx,
+ ((-2*x^61*z0^3 + x^60*z0^3 + 2*x^58*y^2*z0^3 + 2*x^61*z0 - x^59*z0^3 - x^57*y^2*z0^3 + x^60*z0 - 2*x^58*y^2*z0 - 2*x^58*z0^3 + x^56*y^2*z0^3 + 2*x^59*z0 - x^57*y^2*z0 + 2*x^57*z0^3 - x^55*y^2*z0^3 - 2*x^58*z0 - 2*x^56*y^2*z0 + x^56*z0^3 + 2*x^54*y^2*z0^3 - x^57*z0 + 2*x^55*z0^3 - 2*x^56*z0 - 2*x^54*z0^3 + 2*x^55*z0 - x^53*z0^3 + x^54*z0 - 2*x^52*z0^3 + 2*x^53*z0 + 2*x^51*z0^3 - 2*x^52*z0 + x^50*z0^3 - x^51*z0 + 2*x^49*z0^3 - 2*x^50*z0 - 2*x^48*z0^3 + 2*x^49*z0 - x^47*z0^3 + x^48*z0 - 2*x^46*z0^3 + 2*x^47*z0 + 2*x^45*z0^3 - 2*x^46*z0 + x^44*z0^3 - x^45*z0 + 2*x^43*z0^3 - 2*x^44*z0 - 2*x^42*z0^3 + 2*x^43*z0 + 2*x^41*z0^3 - 2*x^39*y*z0^4 + x^42*z0 - x^40*y*z0^2 - x^40*z0^3 - 2*x^38*y*z0^4 - x^41*z0 + 2*x^39*y*z0^2 - x^39*z0^3 + 2*x^37*y*z0^4 + x^40*y + 2*x^40*z0 + x^38*y*z0^2 + x^38*z0^3 + 2*x^36*y*z0^4 + x^39*y + x^39*z0 + x^37*y*z0^2 + 2*x^37*z0^3 - x^35*y*z0^4 - x^38*y - x^38*z0 - 2*x^36*z0^3 - x^34*y*z0^4 + 2*x^37*y - x^37*z0 + 2*x^35*y*z0^2 - 2*x^35*z0^3 - 2*x^33*y*z0^4 + 2*x^36*y - x^34*y*z0^2 - 2*x^34*z0^3 + x^32*y*z0^4 - 2*x^35*y - 2*x^35*z0 - x^33*y*z0^2 - x^33*z0^3 + x^31*y*z0^4 + x^34*y + 2*x^34*z0 + 2*x^32*y*z0^2 - 2*x^30*y*z0^4 + x^33*y + x^33*z0 - 2*x^31*y*z0^2 - x^31*z0^3 + x^29*y*z0^4 - x^30*y*z0^2 - x^30*z0^3 + 2*x^28*y*z0^4 + x^31*y - 2*x^31*z0 - x^27*y*z0^4 + x^30*y + 2*x^30*z0 - x^28*z0^3 - x^26*y*z0^4 - x^29*y - x^29*z0 + x^25*y*z0^4 - x^28*y + x^26*y*z0^2 + x^26*z0^3 - x^24*y*z0^4 + 2*x^27*y + 2*x^25*y*z0^2 - 2*x^25*z0^3 - x^23*y*z0^4 + x^26*y + x^24*y*z0^2 + x^24*z0^3 + 2*x^25*y - x^23*y*z0^2 + 2*x^23*z0^3 - x^21*y*z0^4 + x^24*y + x^24*z0 + 2*x^22*y*z0^2 + x^22*z0^3 + x^20*y*z0^4 - 2*x^23*y + 2*x^21*y*z0^2 - x^21*z0^3 + x^19*y*z0^4 + 2*x^22*y + x^20*y*z0^2 + 2*x^20*z0^3 + x^21*y - x^21*z0 - 2*x^19*y*z0^2 + 2*x^19*z0^3 - 2*x^20*z0 + 2*x^18*y*z0^2 - 2*x^18*z0^3 - x^16*y*z0^4 - 2*x^19*z0 - 2*x^17*y*z0^2 + 2*x^17*z0^3 + 2*x^15*y*z0^4 + 2*x^18*z0 + x^16*y*z0^2 + 2*x^14*y*z0^4 + x^17*y + x^17*z0 + 2*x^15*y*z0^2 + 2*x^15*z0^3 + 2*x^13*y*z0^4 - x^16*z0 - x^14*z0^3 - x^12*y*z0^4 - 2*x^15*z0 - x^13*y*z0^2 - x^11*y*z0^4 + 2*x^14*y + 2*x^14*z0 + x^12*y*z0^2 + x^12*z0^3 + x^10*y*z0^4 - 2*x^13*y - 2*x^13*z0 + 2*x^11*y*z0^2 + x^9*y*z0^4 - x^12*z0 + 2*x^10*y*z0^2 - 2*x^10*z0^3 - x^8*y*z0^4 - x^11*y + 2*x^11*z0 - 2*x^9*z0^3 + 2*x^7*y*z0^4 - x^10*z0 + 2*x^8*y*z0^2 + x^8*z0^3 - 2*x^9*y - x^9*z0 + x^7*y*z0^2 - 2*x^7*z0^3 - x^5*y*z0^4 - x^8*y - x^6*y*z0^2 - 2*x^6*z0^3 - x^4*y*z0^4 + 2*x^7*y - x^7*z0 - x^5*y*z0^2 + 2*x^5*z0^3 - 2*x^6*y + x^4*y*z0^2 - x^4*z0^3 + x^2*y*z0^4 + 2*x^5*y - x^5*z0 + x^3*z0^3 + x*y*z0^4 - 2*x^4*y + x^2*y*z0^2 - 2*x^3*z0 - x^2*y + x^2*z0)/y) * dx,
+ ((x^61*z0^4 - x^58*y^2*z0^4 + 2*x^61*z0^2 - 2*x^59*z0^4 + 2*x^60*z0^2 - 2*x^58*y^2*z0^2 - x^58*z0^4 + 2*x^56*y^2*z0^4 - x^61 - 2*x^57*y^2*z0^2 + 2*x^60 + x^58*y^2 - 2*x^58*z0^2 + 2*x^56*z0^4 - 2*x^57*y^2 - 2*x^57*z0^2 + x^55*z0^4 + x^58 - 2*x^57 + 2*x^55*z0^2 - 2*x^53*z0^4 + 2*x^54*z0^2 - x^52*z0^4 - x^55 + 2*x^54 - 2*x^52*z0^2 + 2*x^50*z0^4 - 2*x^51*z0^2 + x^49*z0^4 + x^52 - 2*x^51 + 2*x^49*z0^2 - 2*x^47*z0^4 + 2*x^48*z0^2 - x^46*z0^4 - x^49 + 2*x^48 - 2*x^46*z0^2 + 2*x^44*z0^4 - 2*x^45*z0^2 + x^43*z0^4 + x^46 - 2*x^45 + 2*x^43*z0^2 + x^41*z0^4 + 2*x^42*z0^2 - 2*x^40*y*z0^3 - x^43 + 2*x^41*z0^2 + 2*x^39*y*z0^3 + 2*x^42 + x^40*y*z0 - 2*x^40*z0^2 - x^38*y*z0^3 + x^38*z0^4 - 2*x^41 + x^39*y*z0 + x^39*z0^2 - 2*x^37*y*z0^3 + 2*x^37*z0^4 + x^40 - 2*x^38*y*z0 - x^38*z0^2 + x^36*y*z0^3 + 2*x^36*z0^4 - 2*x^39 + 2*x^37*y*z0 + 2*x^37*z0^2 - x^35*y*z0^3 + x^35*z0^4 + 2*x^38 - x^36*y*z0 - x^36*z0^2 + 2*x^34*y*z0^3 + 2*x^34*z0^4 - x^37 - 2*x^35*y*z0 - x^33*y*z0^3 + 2*x^33*z0^4 + x^36 - x^34*y*z0 + 2*x^34*z0^2 + x^32*y*z0^3 + 2*x^35 - x^33*y*z0 - x^33*z0^2 + x^31*y*z0^3 - x^31*z0^4 + 2*x^34 - 2*x^32*z0^2 - x^30*y*z0^3 + x^30*z0^4 + 2*x^33 + x^31*y*z0 + x^31*z0^2 + x^29*y*z0^3 + x^29*z0^4 - 2*x^32 + 2*x^28*y*z0^3 - 2*x^28*z0^4 + 2*x^31 - x^29*y*z0 - 2*x^29*z0^2 + x^27*y*z0^3 + 2*x^27*z0^4 + x^30 - 2*x^28*z0^2 + 2*x^29 - 2*x^27*y*z0 + 2*x^27*z0^2 - 2*x^25*y*z0^3 - 2*x^25*z0^4 + 2*x^28 - x^26*y*z0 - x^26*z0^2 - x^24*y*z0^3 - 2*x^24*z0^4 + 2*x^27 + 2*x^25*z0^2 - x^23*y*z0^3 + x^23*z0^4 - 2*x^26 + 2*x^24*y*z0 + x^22*z0^4 + x^21*y*z0^3 - 2*x^21*z0^4 - x^24 + 2*x^22*y*z0 - 2*x^20*y*z0^3 - x^23 + 2*x^21*y*z0 - 2*x^21*z0^2 - x^19*y*z0^3 + x^19*z0^4 + 2*x^22 + x^20*y*z0 + 2*x^20*z0^2 + x^18*y*z0^3 - 2*x^18*z0^4 - 2*x^21 - 2*x^19*y*z0 - 2*x^19*z0^2 + x^17*y*z0^3 - 2*x^17*z0^4 - 2*x^20 + 2*x^18*y*z0 + x^18*z0^2 + 2*x^16*y*z0^3 + 2*x^16*z0^4 - 2*x^17*y*z0 + 2*x^17*z0^2 + x^15*y*z0^3 + 2*x^15*z0^4 + 2*x^18 + x^16*y*z0 + x^16*z0^2 + x^14*y*z0^3 - 2*x^14*z0^4 - 2*x^17 - 2*x^15*y*z0 + 2*x^15*z0^2 + x^13*z0^4 - 2*x^16 - 2*x^14*z0^2 - x^12*z0^4 - x^13*z0^2 + x^11*z0^4 + 2*x^14 - 2*x^12*z0^2 + 2*x^10*z0^4 - 2*x^13 - x^11*z0^2 - 2*x^9*y*z0^3 - x^9*z0^4 + x^10*y*z0 + x^8*y*z0^3 + x^8*z0^4 + x^11 + x^9*y*z0 + x^7*y*z0^3 + 2*x^7*z0^4 - 2*x^10 - 2*x^8*y*z0 + 2*x^8*z0^2 - 2*x^6*y*z0^3 - 2*x^6*z0^4 - x^9 - 2*x^7*y*z0 + 2*x^7*z0^2 - x^5*y*z0^3 + 2*x^8 + 2*x^6*z0^2 - 2*x^4*z0^4 - 2*x^7 - 2*x^5*y*z0 - x^5*z0^2 - 2*x^3*y*z0^3 - 2*x^3*z0^4 + x^6 - x^4*y*z0 - x^4*z0^2 - 2*x^2*y*z0^3 - 2*x^2*z0^4 + x^5 - 2*x^3*y*z0 + x^3*z0^2 + x^2*y*z0 + x^2*z0^2 + x*y^2)/y) * dx,
+ ((-2*x^61*z0^3 - x^60*z0^3 + 2*x^58*y^2*z0^3 - x^61*z0 - x^59*z0^3 + x^57*y^2*z0^3 + x^58*y^2*z0 - x^58*z0^3 + x^56*y^2*z0^3 - 2*x^59*z0 - x^57*z0^3 - 2*x^55*y^2*z0^3 + x^58*z0 + 2*x^56*y^2*z0 + x^56*z0^3 + 2*x^54*y^2*z0^3 + x^55*z0^3 + 2*x^56*z0 + x^54*z0^3 - x^55*z0 - x^53*z0^3 - x^52*z0^3 - 2*x^53*z0 - x^51*z0^3 + x^52*z0 + x^50*z0^3 + x^49*z0^3 + 2*x^50*z0 + x^48*z0^3 - x^49*z0 - x^47*z0^3 - x^46*z0^3 - 2*x^47*z0 - x^45*z0^3 + x^46*z0 + x^44*z0^3 + x^43*z0^3 + 2*x^44*z0 + x^42*z0^3 - x^43*z0 + 2*x^41*z0^3 - 2*x^39*y*z0^4 - x^40*y*z0^2 - x^38*y*z0^4 + 2*x^41*z0 - x^39*y*z0^2 + 2*x^39*z0^3 + 2*x^37*y*z0^4 + 2*x^40*y + 2*x^40*z0 - x^38*y*z0^2 + x^38*z0^3 + 2*x^36*y*z0^4 + 2*x^39*z0 + 2*x^37*y*z0^2 + x^37*z0^3 - 2*x^38*z0 - 2*x^36*y*z0^2 + 2*x^34*y*z0^4 - x^37*y + 2*x^37*z0 + x^35*y*z0^2 + x^35*z0^3 + 2*x^33*y*z0^4 - 2*x^36*y + 2*x^36*z0 + 2*x^34*y*z0^2 + 2*x^34*z0^3 + 2*x^35*y + 2*x^33*y*z0^2 - x^33*z0^3 + 2*x^34*y - x^32*y*z0^2 - 2*x^32*z0^3 - 2*x^33*y + 2*x^33*z0 + x^31*y*z0^2 + x^31*z0^3 - x^29*y*z0^4 - x^32*y - 2*x^30*y*z0^2 - 2*x^30*z0^3 + x^28*y*z0^4 - x^31*y + x^31*z0 - x^29*y*z0^2 + x^29*z0^3 + x^27*y*z0^4 - x^30*y - x^30*z0 - x^28*z0^3 + 2*x^26*y*z0^4 - x^29*y - x^29*z0 - 2*x^27*y*z0^2 + 2*x^27*z0^3 + 2*x^25*y*z0^4 + 2*x^28*y - 2*x^28*z0 - x^26*z0^3 + x^27*y + 2*x^27*z0 + 2*x^25*y*z0^2 - 2*x^25*z0^3 - 2*x^26*z0 + x^24*y*z0^2 + 2*x^22*y*z0^4 + x^25*y + 2*x^25*z0 - 2*x^23*y*z0^2 - 2*x^23*z0^3 - 2*x^21*y*z0^4 + x^24*y + x^24*z0 + x^22*y*z0^2 - 2*x^20*y*z0^4 - 2*x^23*y + x^21*y*z0^2 - x^21*z0^3 - x^19*y*z0^4 - x^22*y + 2*x^22*z0 + 2*x^18*y*z0^4 - 2*x^21*y + x^21*z0 - x^19*y*z0^2 + 2*x^19*z0^3 + 2*x^17*y*z0^4 + 2*x^20*y - x^20*z0 - x^18*y*z0^2 - x^18*z0^3 - 2*x^16*y*z0^4 + 2*x^19*z0 + 2*x^17*y*z0^2 - 2*x^17*z0^3 - x^15*y*z0^4 - 2*x^18*y - x^18*z0 + x^16*y*z0^2 + x^14*y*z0^4 - x^17*y + 2*x^17*z0 - x^15*z0^3 - 2*x^13*y*z0^4 - x^16*y - 2*x^16*z0 - 2*x^14*y*z0^2 - x^14*z0^3 + 2*x^12*y*z0^4 - 2*x^15*z0 + x^13*y*z0^2 - 2*x^14*y + 2*x^14*z0 - 2*x^12*y*z0^2 + x^10*y*z0^4 + x^13*y + x^11*y*z0^2 + x^9*y*z0^4 - x^12*z0 + x^10*y*z0^2 + 2*x^10*z0^3 + 2*x^8*y*z0^4 + x^11*y - 2*x^11*z0 + 2*x^9*y*z0^2 + x^7*y*z0^4 - 2*x^10*y - 2*x^10*z0 - 2*x^8*y*z0^2 + 2*x^8*z0^3 + 2*x^6*y*z0^4 + x^9*y - 2*x^9*z0 - x^7*y*z0^2 + 2*x^7*z0^3 - x^5*y*z0^4 + x^8*y + x^8*z0 + x^6*y*z0^2 - 2*x^4*y*z0^4 + 2*x^7*y - 2*x^7*z0 - x^5*y*z0^2 + 2*x^5*z0^3 + 2*x^3*y*z0^4 - 2*x^6*y + x^4*y*z0^2 - 2*x^4*z0^3 + 2*x^2*y*z0^4 + x^5*y + 2*x^5*z0 - 2*x^3*y*z0^2 - x^3*z0^3 + x^4*y + 2*x^4*z0 - 2*x^2*y*z0^2 + x^2*z0^3 + 2*x^3*y - x^3*z0 + x*y^2*z0 + x^2*y - x^2*z0)/y) * dx,
+ ((2*x^61*z0^4 - 2*x^60*z0^4 - 2*x^58*y^2*z0^4 - 2*x^61*z0^2 - x^59*z0^4 + 2*x^57*y^2*z0^4 + x^60*z0^2 + 2*x^58*y^2*z0^2 - 2*x^58*z0^4 + x^56*y^2*z0^4 - x^57*y^2*z0^2 + 2*x^57*z0^4 - x^60 + 2*x^58*z0^2 + x^56*z0^4 + x^57*y^2 - x^57*z0^2 + 2*x^55*z0^4 - 2*x^54*z0^4 + x^57 - 2*x^55*z0^2 - x^53*z0^4 + x^54*z0^2 - 2*x^52*z0^4 + 2*x^51*z0^4 - x^54 + 2*x^52*z0^2 + x^50*z0^4 - x^51*z0^2 + 2*x^49*z0^4 - 2*x^48*z0^4 + x^51 - 2*x^49*z0^2 - x^47*z0^4 + x^48*z0^2 - 2*x^46*z0^4 + 2*x^45*z0^4 - x^48 + 2*x^46*z0^2 + x^44*z0^4 - x^45*z0^2 + 2*x^43*z0^4 - 2*x^42*z0^4 + x^45 - 2*x^43*z0^2 + x^41*z0^4 + x^42*z0^2 + x^40*y*z0^3 + x^40*z0^4 - 2*x^41*z0^2 - 2*x^39*y*z0^3 + x^39*z0^4 - x^42 - x^40*y*z0 - 2*x^40*z0^2 - x^38*z0^4 + 2*x^41 - 2*x^39*y*z0 + x^39*z0^2 - x^37*y*z0^3 - 2*x^37*z0^4 - x^40 + 2*x^38*y*z0 + x^38*z0^2 - x^36*y*z0^3 + 2*x^36*z0^4 - 2*x^39 + x^37*y*z0 - 2*x^35*y*z0^3 - 2*x^35*z0^4 + 2*x^38 + x^36*y*z0 - x^36*z0^2 + x^34*y*z0^3 - x^37 - x^35*y*z0 - 2*x^35*z0^2 + 2*x^33*y*z0^3 - x^34*y*z0 + x^32*y*z0^3 + 2*x^35 - 2*x^33*z0^2 - 2*x^31*y*z0^3 - 2*x^31*z0^4 + 2*x^34 + 2*x^32*z0^2 + 2*x^30*y*z0^3 - x^30*z0^4 - x^33 + 2*x^31*y*z0 - 2*x^31*z0^2 + x^29*y*z0^3 + x^29*z0^4 - 2*x^32 - 2*x^30*y*z0 + 2*x^28*y*z0^3 + 2*x^28*z0^4 - x^29*y*z0 - x^29*z0^2 + 2*x^27*y*z0^3 - 2*x^27*z0^4 - 2*x^30 - x^28*y*z0 + 2*x^26*y*z0^3 + 2*x^26*z0^4 + 2*x^27*y*z0 + x^27*z0^2 + x^25*y*z0^3 + 2*x^28 - 2*x^26*y*z0 + x^26*z0^2 + 2*x^24*y*z0^3 + x^24*z0^4 + 2*x^27 + x^25*y*z0 - 2*x^25*z0^2 - x^23*y*z0^3 + x^23*z0^4 + 2*x^26 - 2*x^24*y*z0 + 2*x^24*z0^2 + 2*x^22*y*z0^3 - x^22*z0^4 + 2*x^25 + x^23*y*z0 - 2*x^23*z0^2 - x^21*y*z0^3 - 2*x^22*y*z0 - x^22*z0^2 - x^20*y*z0^3 + 2*x^20*z0^4 + 2*x^21*y*z0 - x^21*z0^2 - x^19*y*z0^3 - x^19*z0^4 - x^20*y*z0 + x^20*z0^2 + x^18*y*z0^3 + 2*x^18*z0^4 - 2*x^21 - 2*x^19*y*z0 - x^17*y*z0^3 + 2*x^17*z0^4 - 2*x^18*z0^2 - 2*x^16*y*z0^3 - 2*x^19 + 2*x^17*y*z0 + 2*x^17*z0^2 - x^15*y*z0^3 - 2*x^18 + 2*x^16*z0^2 - x^14*y*z0^3 + 2*x^14*z0^4 + x^17 - x^15*y*z0 - x^13*y*z0^3 - x^13*z0^4 + x^16 - 2*x^14*y*z0 + x^12*y*z0^3 + x^15 - 2*x^13*y*z0 - 2*x^13*z0^2 + x^11*y*z0^3 + x^11*z0^4 - x^10*y*z0^3 - x^10*z0^4 - x^11*y*z0 + 2*x^9*y*z0^3 - 2*x^9*z0^4 + 2*x^12 - x^10*y*z0 + x^10*z0^2 + 2*x^8*y*z0^3 + 2*x^8*z0^4 + 2*x^7*y*z0^3 + x^7*z0^4 + 2*x^10 + 2*x^8*z0^2 - 2*x^6*y*z0^3 - 2*x^6*z0^4 + 2*x^9 - x^7*y*z0 + 2*x^7*z0^2 + 2*x^5*z0^4 - x^8 + 2*x^6*y*z0 + x^6*z0^2 + x^4*y*z0^3 + 2*x^4*z0^4 - 2*x^7 + x^5*y*z0 - 2*x^3*y*z0^3 + 2*x^3*z0^4 - x^6 + 2*x^4*y*z0 - 2*x^4*z0^2 - x^2*y*z0^3 - 2*x^2*z0^4 + x^3*y*z0 - x^3*z0^2 + x*y^2*z0^2 + x^2*z0^2 + x^3 - x^2)/y) * dx,
+ ((-2*x^61*z0^3 + 2*x^58*y^2*z0^3 - 2*x^61*z0 - x^59*z0^3 + x^60*z0 + 2*x^58*y^2*z0 + x^58*z0^3 + x^56*y^2*z0^3 - 2*x^59*z0 - x^57*y^2*z0 + x^55*y^2*z0^3 + 2*x^58*z0 + 2*x^56*y^2*z0 + x^56*z0^3 - x^57*z0 - x^55*z0^3 + 2*x^56*z0 - 2*x^55*z0 - x^53*z0^3 + x^54*z0 + x^52*z0^3 - 2*x^53*z0 + 2*x^52*z0 + x^50*z0^3 - x^51*z0 - x^49*z0^3 + 2*x^50*z0 - 2*x^49*z0 - x^47*z0^3 + x^48*z0 + x^46*z0^3 - 2*x^47*z0 + 2*x^46*z0 + x^44*z0^3 - x^45*z0 - x^43*z0^3 + 2*x^44*z0 - 2*x^43*z0 + 2*x^41*z0^3 - 2*x^39*y*z0^4 + x^42*z0 - x^40*y*z0^2 + x^40*z0^3 + x^41*z0 - 2*x^39*y*z0^2 - 2*x^39*z0^3 - x^37*y*z0^4 - x^40*y - 2*x^40*z0 + x^38*y*z0^2 + x^38*z0^3 + 2*x^36*y*z0^4 - 2*x^39*y + 2*x^39*z0 + x^37*y*z0^2 - 2*x^38*y + x^38*z0 - x^36*z0^3 + x^34*y*z0^4 - 2*x^37*y + 2*x^37*z0 + 2*x^35*y*z0^2 - x^35*z0^3 - x^33*y*z0^4 - x^36*y + 2*x^36*z0 - 2*x^34*y*z0^2 - x^34*z0^3 + 2*x^32*y*z0^4 - 2*x^35*y + x^35*z0 + x^33*z0^3 + x^31*y*z0^4 - x^34*z0 + x^32*z0^3 + 2*x^30*y*z0^4 + x^33*y - 2*x^33*z0 + x^31*z0^3 + x^29*y*z0^4 - x^32*y + x^32*z0 - x^30*z0^3 - 2*x^31*y + x^31*z0 + x^29*y*z0^2 - 2*x^27*y*z0^4 + 2*x^30*y + 2*x^30*z0 + x^28*y*z0^2 - x^28*z0^3 - 2*x^26*y*z0^4 + 2*x^29*z0 + x^28*y - x^28*z0 + x^26*y*z0^2 - x^26*z0^3 - 2*x^24*y*z0^4 + 2*x^27*y + x^27*z0 + x^25*y*z0^2 + 2*x^25*z0^3 + x^23*y*z0^4 + x^26*y - x^26*z0 - 2*x^24*y*z0^2 - x^25*y + 2*x^23*y*z0^2 + 2*x^23*z0^3 + x^24*y - x^24*z0 - 2*x^22*y*z0^2 - x^22*z0^3 - 2*x^20*y*z0^4 - x^23*z0 + x^21*y*z0^2 - x^21*z0^3 - 2*x^19*y*z0^4 + 2*x^22*y - x^22*z0 + x^20*z0^3 + x^18*y*z0^4 + 2*x^21*y - 2*x^21*z0 + x^19*y*z0^2 + x^19*z0^3 + x^17*y*z0^4 + x^20*y + 2*x^20*z0 + x^18*z0^3 - 2*x^16*y*z0^4 - x^19*y + x^17*y*z0^2 + x^17*z0^3 + x^15*y*z0^4 + x^18*y + 2*x^18*z0 - 2*x^16*z0^3 + x^14*y*z0^4 + 2*x^15*y*z0^2 - 2*x^15*z0^3 - 2*x^16*y - x^14*z0^3 - 2*x^12*y*z0^4 + x^15*y + x^13*y*z0^2 + 2*x^11*y*z0^4 - 2*x^14*z0 + x^12*y*z0^2 - x^12*z0^3 - x^13*y - x^13*z0 + 2*x^11*y*z0^2 - 2*x^11*z0^3 - 2*x^9*y*z0^4 + x^10*y*z0^2 + x^10*z0^3 - x^8*y*z0^4 + x^11*y - x^11*z0 + 2*x^9*y*z0^2 + 2*x^7*y*z0^4 + 2*x^10*y + 2*x^10*z0 - x^8*z0^3 + x^6*y*z0^4 - x^9*z0 + x^7*y*z0^2 + x^7*z0^3 - x^5*y*z0^4 + 2*x^8*y + x^8*z0 - 2*x^6*y*z0^2 + 2*x^6*z0^3 - x^4*y*z0^4 - x^7*y - 2*x^5*y*z0^2 - x^5*z0^3 - x^3*y*z0^4 + 2*x^6*z0 - 2*x^4*y*z0^2 + x^5*y - 2*x^3*z0^3 + x*y^2*z0^3 - 2*x^4*y + x^4*z0 - x^2*y*z0^2 + 2*x^2*z0^3 + x^3*y + 2*x^3*z0 - x^2*y - x^2*z0)/y) * dx,
+ ((-x^60*z0^4 - 2*x^61*z0^2 + 2*x^59*z0^4 + x^57*y^2*z0^4 + x^60*z0^2 + 2*x^58*y^2*z0^2 - 2*x^56*y^2*z0^4 - x^57*y^2*z0^2 + x^57*z0^4 - 2*x^60 + 2*x^58*z0^2 - 2*x^56*z0^4 + 2*x^57*y^2 - x^57*z0^2 - x^54*z0^4 + 2*x^57 - 2*x^55*z0^2 + 2*x^53*z0^4 + x^54*z0^2 + x^51*z0^4 - 2*x^54 + 2*x^52*z0^2 - 2*x^50*z0^4 - x^51*z0^2 - x^48*z0^4 + 2*x^51 - 2*x^49*z0^2 + 2*x^47*z0^4 + x^48*z0^2 + x^45*z0^4 - 2*x^48 + 2*x^46*z0^2 - 2*x^44*z0^4 - x^45*z0^2 - x^42*z0^4 + 2*x^45 - 2*x^43*z0^2 + 2*x^41*z0^4 + x^42*z0^2 - x^40*z0^4 - 2*x^41*z0^2 - 2*x^39*y*z0^3 + x^39*z0^4 - 2*x^42 - x^40*y*z0 + x^40*z0^2 + x^38*y*z0^3 + 2*x^39*y*z0 + x^39*z0^2 - x^37*y*z0^3 - x^40 + x^38*z0^2 - x^36*y*z0^3 + 2*x^36*z0^4 - 2*x^39 + x^37*y*z0 - 2*x^37*z0^2 - 2*x^35*y*z0^3 - x^35*z0^4 - x^38 + 2*x^36*y*z0 - x^36*z0^2 + x^34*y*z0^3 + 2*x^34*z0^4 + x^37 - 2*x^35*y*z0 + x^35*z0^2 - x^33*y*z0^3 - 2*x^33*z0^4 + 2*x^36 - 2*x^34*y*z0 + x^34*z0^2 - 2*x^32*y*z0^3 - x^35 + 2*x^33*y*z0 + 2*x^33*z0^2 + x^31*y*z0^3 + x^31*z0^4 - 2*x^34 + x^32*z0^2 - x^30*y*z0^3 + 2*x^30*z0^4 + x^33 - x^31*y*z0 - x^31*z0^2 + x^29*z0^4 + x^30*y*z0 - 2*x^28*y*z0^3 + 2*x^28*z0^4 + 2*x^29*y*z0 + x^29*z0^2 + x^30 + 2*x^28*y*z0 - x^28*z0^2 + x^26*y*z0^3 - 2*x^26*z0^4 - x^27*y*z0 - 2*x^27*z0^2 + x^25*y*z0^3 - x^25*z0^4 - x^28 + 2*x^24*y*z0^3 - 2*x^24*z0^4 - x^23*y*z0^3 + x^23*z0^4 - 2*x^26 + x^24*y*z0 - x^24*z0^2 - 2*x^22*y*z0^3 + 2*x^25 - x^23*y*z0 + x^23*z0^2 - x^21*y*z0^3 + x^21*z0^4 + 2*x^24 + x^22*y*z0 - x^20*y*z0^3 + x^20*z0^4 - x^23 - x^21*y*z0 + x^21*z0^2 - x^19*y*z0^3 - x^19*z0^4 - 2*x^22 - x^20*y*z0 + 2*x^20*z0^2 + x^18*y*z0^3 + x^18*z0^4 + x^21 - x^19*y*z0 + 2*x^20 - x^18*y*z0 - x^18*z0^2 + 2*x^16*y*z0^3 - 2*x^16*z0^4 + x^19 + x^17*y*z0 - x^15*y*z0^3 - 2*x^15*z0^4 + x^18 + 2*x^16*y*z0 + 2*x^16*z0^2 - 2*x^14*z0^4 + 2*x^15*y*z0 - 2*x^15*z0^2 - 2*x^13*y*z0^3 - 2*x^13*z0^4 - x^16 + x^14*z0^2 + x^12*y*z0^3 + 2*x^12*z0^4 + 2*x^13*y*z0 - 2*x^13*z0^2 - x^11*y*z0^3 - 2*x^11*z0^4 + x^14 + x^12*y*z0 - x^10*y*z0^3 - 2*x^10*z0^4 - 2*x^13 - 2*x^11*y*z0 + 2*x^11*z0^2 + x^12 + x^8*y*z0^3 - 2*x^8*z0^4 - 2*x^11 + x^9*z0^2 - x^7*y*z0^3 + x^7*z0^4 - x^8*y*z0 - x^8*z0^2 + x^6*y*z0^3 - 2*x^6*z0^4 - 2*x^9 - x^7*y*z0 - 2*x^5*z0^4 - 2*x^8 + x^6*y*z0 + x^4*y*z0^3 - x^4*z0^4 - 2*x^5*y*z0 - x^3*y*z0^3 + x^3*z0^4 + x*y^2*z0^4 + 2*x^6 - 2*x^4*y*z0 - x^4*z0^2 + 2*x^2*z0^4 + 2*x^3*y*z0 + 2*x^3*z0^2 - 2*x^2*y*z0)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^5 + x^2*y^2 + x^2)/y) * dx,
+ ((-x^5*z0 + x^2*y^2*z0 + x^2*z0)/y) * dx,
+ ((-x^5*z0^2 + x^2*y^2*z0^2 + x^2*z0^2)/y) * dx,
+ ((-x^5*z0^3 + x^2*y^2*z0^3 + x^2*z0^3)/y) * dx,
+ ((-x^5*z0^4 + x^2*y^2*z0^4 + x^2*z0^4)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^6 + x^3*y^2 + x^3)/y) * dx,
+ ((-x^6*z0 + x^3*y^2*z0 + x^3*z0)/y) * dx,
+ ((-x^6*z0^2 + x^3*y^2*z0^2 + x^3*z0^2)/y) * dx,
+ ((-x^6*z0^3 + x^3*y^2*z0^3 + x^3*z0^3)/y) * dx,
+ ((-x^6*z0^4 + x^3*y^2*z0^4 + x^3*z0^4)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^61*z0^4 + x^58*y^2*z0^4 - 2*x^61*z0^2 + 2*x^59*z0^4 - 2*x^60*z0^2 + 2*x^58*y^2*z0^2 + x^58*z0^4 - 2*x^56*y^2*z0^4 + x^61 + 2*x^57*y^2*z0^2 - 2*x^60 - x^58*y^2 + 2*x^58*z0^2 - 2*x^56*z0^4 + 2*x^57*y^2 + 2*x^57*z0^2 - x^55*z0^4 - x^58 + 2*x^57 - 2*x^55*z0^2 + 2*x^53*z0^4 - 2*x^54*z0^2 + x^52*z0^4 + x^55 - 2*x^54 + 2*x^52*z0^2 - 2*x^50*z0^4 + 2*x^51*z0^2 - x^49*z0^4 - x^52 + 2*x^51 - 2*x^49*z0^2 + 2*x^47*z0^4 - 2*x^48*z0^2 + x^46*z0^4 + x^49 - 2*x^48 + 2*x^46*z0^2 - 2*x^44*z0^4 + 2*x^45*z0^2 - x^43*z0^4 - x^46 + 2*x^45 - 2*x^43*z0^2 - x^41*z0^4 - 2*x^42*z0^2 + 2*x^40*y*z0^3 + x^43 - 2*x^41*z0^2 - 2*x^39*y*z0^3 - 2*x^42 - x^40*y*z0 + 2*x^40*z0^2 + x^38*y*z0^3 - x^38*z0^4 + 2*x^41 - x^39*y*z0 - x^39*z0^2 + 2*x^37*y*z0^3 - 2*x^37*z0^4 - x^40 + 2*x^38*y*z0 + x^38*z0^2 - x^36*y*z0^3 - 2*x^36*z0^4 + 2*x^39 - 2*x^37*y*z0 - 2*x^37*z0^2 + x^35*y*z0^3 - x^35*z0^4 - 2*x^38 + x^36*y*z0 + x^36*z0^2 - 2*x^34*y*z0^3 - 2*x^34*z0^4 + x^37 + 2*x^35*y*z0 + x^33*y*z0^3 - 2*x^33*z0^4 - x^36 + x^34*y*z0 - 2*x^34*z0^2 - x^32*y*z0^3 - 2*x^35 + x^33*y*z0 + x^33*z0^2 - x^31*y*z0^3 + x^31*z0^4 - 2*x^34 + 2*x^32*z0^2 + x^30*y*z0^3 - x^30*z0^4 - 2*x^33 - x^31*y*z0 - x^31*z0^2 - x^29*y*z0^3 - x^29*z0^4 + 2*x^32 - 2*x^28*y*z0^3 + 2*x^28*z0^4 - 2*x^31 + x^29*y*z0 + 2*x^29*z0^2 - x^27*y*z0^3 - 2*x^27*z0^4 - x^30 + 2*x^28*z0^2 - 2*x^29 + 2*x^27*y*z0 - 2*x^27*z0^2 + 2*x^25*y*z0^3 + 2*x^25*z0^4 - 2*x^28 + x^26*y*z0 + x^26*z0^2 + x^24*y*z0^3 + 2*x^24*z0^4 - 2*x^27 - 2*x^25*z0^2 + x^23*y*z0^3 - x^23*z0^4 + 2*x^26 - 2*x^24*y*z0 - x^22*z0^4 - x^21*y*z0^3 + 2*x^21*z0^4 + x^24 - 2*x^22*y*z0 + 2*x^20*y*z0^3 + x^23 - 2*x^21*y*z0 + 2*x^21*z0^2 + x^19*y*z0^3 - x^19*z0^4 - 2*x^22 - x^20*y*z0 - 2*x^20*z0^2 - x^18*y*z0^3 + 2*x^18*z0^4 + 2*x^21 + 2*x^19*y*z0 + 2*x^19*z0^2 - x^17*y*z0^3 + 2*x^17*z0^4 + 2*x^20 - 2*x^18*y*z0 - x^18*z0^2 - 2*x^16*y*z0^3 - 2*x^16*z0^4 + 2*x^17*y*z0 - 2*x^17*z0^2 - x^15*y*z0^3 - 2*x^15*z0^4 - 2*x^18 - x^16*y*z0 - x^16*z0^2 - x^14*y*z0^3 + 2*x^14*z0^4 + 2*x^17 + 2*x^15*y*z0 - 2*x^15*z0^2 - x^13*z0^4 + 2*x^16 + 2*x^14*z0^2 + x^12*z0^4 + x^13*z0^2 - x^11*z0^4 - 2*x^14 + 2*x^12*z0^2 - 2*x^10*z0^4 + 2*x^13 + x^11*z0^2 + 2*x^9*y*z0^3 + x^9*z0^4 - x^10*y*z0 - x^8*y*z0^3 - x^8*z0^4 - x^11 - x^9*y*z0 - x^7*y*z0^3 - 2*x^7*z0^4 + 2*x^10 + 2*x^8*y*z0 - 2*x^8*z0^2 + 2*x^6*y*z0^3 + 2*x^6*z0^4 + x^9 + 2*x^7*y*z0 - 2*x^7*z0^2 + x^5*y*z0^3 - 2*x^8 - 2*x^6*z0^2 + 2*x^4*z0^4 + x^7 + 2*x^5*y*z0 + x^5*z0^2 + 2*x^3*y*z0^3 + 2*x^3*z0^4 - x^6 + x^4*y^2 + x^4*y*z0 + x^4*z0^2 + 2*x^2*y*z0^3 + 2*x^2*z0^4 - x^5 + 2*x^3*y*z0 - x^3*z0^2 - x^2*y*z0 - x^2*z0^2)/y) * dx,
+ ((2*x^61*z0^3 + x^60*z0^3 - 2*x^58*y^2*z0^3 + x^61*z0 + x^59*z0^3 - x^57*y^2*z0^3 - x^58*y^2*z0 + x^58*z0^3 - x^56*y^2*z0^3 + 2*x^59*z0 + x^57*z0^3 + 2*x^55*y^2*z0^3 - x^58*z0 - 2*x^56*y^2*z0 - x^56*z0^3 - 2*x^54*y^2*z0^3 - x^55*z0^3 - 2*x^56*z0 - x^54*z0^3 + x^55*z0 + x^53*z0^3 + x^52*z0^3 + 2*x^53*z0 + x^51*z0^3 - x^52*z0 - x^50*z0^3 - x^49*z0^3 - 2*x^50*z0 - x^48*z0^3 + x^49*z0 + x^47*z0^3 + x^46*z0^3 + 2*x^47*z0 + x^45*z0^3 - x^46*z0 - x^44*z0^3 - x^43*z0^3 - 2*x^44*z0 - x^42*z0^3 + x^43*z0 - 2*x^41*z0^3 + 2*x^39*y*z0^4 + x^40*y*z0^2 + x^38*y*z0^4 - 2*x^41*z0 + x^39*y*z0^2 - 2*x^39*z0^3 - 2*x^37*y*z0^4 - 2*x^40*y - 2*x^40*z0 + x^38*y*z0^2 - x^38*z0^3 - 2*x^36*y*z0^4 - 2*x^39*z0 - 2*x^37*y*z0^2 - x^37*z0^3 + 2*x^38*z0 + 2*x^36*y*z0^2 - 2*x^34*y*z0^4 + x^37*y - 2*x^37*z0 - x^35*y*z0^2 - x^35*z0^3 - 2*x^33*y*z0^4 + 2*x^36*y - 2*x^36*z0 - 2*x^34*y*z0^2 - 2*x^34*z0^3 - 2*x^35*y - 2*x^33*y*z0^2 + x^33*z0^3 - 2*x^34*y + x^32*y*z0^2 + 2*x^32*z0^3 + 2*x^33*y - 2*x^33*z0 - x^31*y*z0^2 - x^31*z0^3 + x^29*y*z0^4 + x^32*y + 2*x^30*y*z0^2 + 2*x^30*z0^3 - x^28*y*z0^4 + x^31*y - x^31*z0 + x^29*y*z0^2 - x^29*z0^3 - x^27*y*z0^4 + x^30*y + x^30*z0 + x^28*z0^3 - 2*x^26*y*z0^4 + x^29*y + x^29*z0 + 2*x^27*y*z0^2 - 2*x^27*z0^3 - 2*x^25*y*z0^4 - 2*x^28*y + 2*x^28*z0 + x^26*z0^3 - x^27*y - 2*x^27*z0 - 2*x^25*y*z0^2 + 2*x^25*z0^3 + 2*x^26*z0 - x^24*y*z0^2 - 2*x^22*y*z0^4 - x^25*y - 2*x^25*z0 + 2*x^23*y*z0^2 + 2*x^23*z0^3 + 2*x^21*y*z0^4 - x^24*y - x^24*z0 - x^22*y*z0^2 + 2*x^20*y*z0^4 + 2*x^23*y - x^21*y*z0^2 + x^21*z0^3 + x^19*y*z0^4 + x^22*y - 2*x^22*z0 - 2*x^18*y*z0^4 + 2*x^21*y - x^21*z0 + x^19*y*z0^2 - 2*x^19*z0^3 - 2*x^17*y*z0^4 - 2*x^20*y + x^20*z0 + x^18*y*z0^2 + x^18*z0^3 + 2*x^16*y*z0^4 - 2*x^19*z0 - 2*x^17*y*z0^2 + 2*x^17*z0^3 + x^15*y*z0^4 + 2*x^18*y + x^18*z0 - x^16*y*z0^2 - x^14*y*z0^4 + x^17*y - 2*x^17*z0 + x^15*z0^3 + 2*x^13*y*z0^4 + x^16*y + 2*x^16*z0 + 2*x^14*y*z0^2 + x^14*z0^3 - 2*x^12*y*z0^4 + 2*x^15*z0 - x^13*y*z0^2 + 2*x^14*y - 2*x^14*z0 + 2*x^12*y*z0^2 - x^10*y*z0^4 - x^13*y - x^11*y*z0^2 - x^9*y*z0^4 + x^12*z0 - x^10*y*z0^2 - 2*x^10*z0^3 - 2*x^8*y*z0^4 - x^11*y + 2*x^11*z0 - 2*x^9*y*z0^2 - x^7*y*z0^4 + 2*x^10*y + 2*x^10*z0 + 2*x^8*y*z0^2 - 2*x^8*z0^3 - 2*x^6*y*z0^4 - x^9*y + 2*x^9*z0 + x^7*y*z0^2 - 2*x^7*z0^3 + x^5*y*z0^4 - x^8*y - x^8*z0 - x^6*y*z0^2 + 2*x^4*y*z0^4 - 2*x^7*y + x^7*z0 + x^5*y*z0^2 - 2*x^5*z0^3 - 2*x^3*y*z0^4 + 2*x^6*y + x^4*y^2*z0 - x^4*y*z0^2 + 2*x^4*z0^3 - 2*x^2*y*z0^4 - x^5*y - 2*x^5*z0 + 2*x^3*y*z0^2 + x^3*z0^3 - x^4*y - 2*x^4*z0 + 2*x^2*y*z0^2 - x^2*z0^3 - 2*x^3*y + x^3*z0 - x^2*y + x^2*z0)/y) * dx,
+ ((-2*x^61*z0^4 + 2*x^60*z0^4 + 2*x^58*y^2*z0^4 + 2*x^61*z0^2 + x^59*z0^4 - 2*x^57*y^2*z0^4 - x^60*z0^2 - 2*x^58*y^2*z0^2 + 2*x^58*z0^4 - x^56*y^2*z0^4 + x^57*y^2*z0^2 - 2*x^57*z0^4 + x^60 - 2*x^58*z0^2 - x^56*z0^4 - x^57*y^2 + x^57*z0^2 - 2*x^55*z0^4 + 2*x^54*z0^4 - x^57 + 2*x^55*z0^2 + x^53*z0^4 - x^54*z0^2 + 2*x^52*z0^4 - 2*x^51*z0^4 + x^54 - 2*x^52*z0^2 - x^50*z0^4 + x^51*z0^2 - 2*x^49*z0^4 + 2*x^48*z0^4 - x^51 + 2*x^49*z0^2 + x^47*z0^4 - x^48*z0^2 + 2*x^46*z0^4 - 2*x^45*z0^4 + x^48 - 2*x^46*z0^2 - x^44*z0^4 + x^45*z0^2 - 2*x^43*z0^4 + 2*x^42*z0^4 - x^45 + 2*x^43*z0^2 - x^41*z0^4 - x^42*z0^2 - x^40*y*z0^3 - x^40*z0^4 + 2*x^41*z0^2 + 2*x^39*y*z0^3 - x^39*z0^4 + x^42 + x^40*y*z0 + 2*x^40*z0^2 + x^38*z0^4 - 2*x^41 + 2*x^39*y*z0 - x^39*z0^2 + x^37*y*z0^3 + 2*x^37*z0^4 + x^40 - 2*x^38*y*z0 - x^38*z0^2 + x^36*y*z0^3 - 2*x^36*z0^4 + 2*x^39 - x^37*y*z0 + 2*x^35*y*z0^3 + 2*x^35*z0^4 - 2*x^38 - x^36*y*z0 + x^36*z0^2 - x^34*y*z0^3 + x^37 + x^35*y*z0 + 2*x^35*z0^2 - 2*x^33*y*z0^3 + x^34*y*z0 - x^32*y*z0^3 - 2*x^35 + 2*x^33*z0^2 + 2*x^31*y*z0^3 + 2*x^31*z0^4 - 2*x^34 - 2*x^32*z0^2 - 2*x^30*y*z0^3 + x^30*z0^4 + x^33 - 2*x^31*y*z0 + 2*x^31*z0^2 - x^29*y*z0^3 - x^29*z0^4 + 2*x^32 + 2*x^30*y*z0 - 2*x^28*y*z0^3 - 2*x^28*z0^4 + x^29*y*z0 + x^29*z0^2 - 2*x^27*y*z0^3 + 2*x^27*z0^4 + 2*x^30 + x^28*y*z0 - 2*x^26*y*z0^3 - 2*x^26*z0^4 - 2*x^27*y*z0 - x^27*z0^2 - x^25*y*z0^3 - 2*x^28 + 2*x^26*y*z0 - x^26*z0^2 - 2*x^24*y*z0^3 - x^24*z0^4 - 2*x^27 - x^25*y*z0 + 2*x^25*z0^2 + x^23*y*z0^3 - x^23*z0^4 - 2*x^26 + 2*x^24*y*z0 - 2*x^24*z0^2 - 2*x^22*y*z0^3 + x^22*z0^4 - 2*x^25 - x^23*y*z0 + 2*x^23*z0^2 + x^21*y*z0^3 + 2*x^22*y*z0 + x^22*z0^2 + x^20*y*z0^3 - 2*x^20*z0^4 - 2*x^21*y*z0 + x^21*z0^2 + x^19*y*z0^3 + x^19*z0^4 + x^20*y*z0 - x^20*z0^2 - x^18*y*z0^3 - 2*x^18*z0^4 + 2*x^21 + 2*x^19*y*z0 + x^17*y*z0^3 - 2*x^17*z0^4 + 2*x^18*z0^2 + 2*x^16*y*z0^3 + 2*x^19 - 2*x^17*y*z0 - 2*x^17*z0^2 + x^15*y*z0^3 + 2*x^18 - 2*x^16*z0^2 + x^14*y*z0^3 - 2*x^14*z0^4 - x^17 + x^15*y*z0 + x^13*y*z0^3 + x^13*z0^4 - x^16 + 2*x^14*y*z0 - x^12*y*z0^3 - x^15 + 2*x^13*y*z0 + 2*x^13*z0^2 - x^11*y*z0^3 - x^11*z0^4 + x^10*y*z0^3 + x^10*z0^4 + x^11*y*z0 - 2*x^9*y*z0^3 + 2*x^9*z0^4 - 2*x^12 + x^10*y*z0 - x^10*z0^2 - 2*x^8*y*z0^3 - 2*x^8*z0^4 - 2*x^7*y*z0^3 - x^7*z0^4 - 2*x^10 - 2*x^8*z0^2 + 2*x^6*y*z0^3 + 2*x^6*z0^4 - 2*x^9 + x^7*y*z0 + 2*x^7*z0^2 - 2*x^5*z0^4 + x^8 - 2*x^6*y*z0 - x^6*z0^2 + x^4*y^2*z0^2 - x^4*y*z0^3 - 2*x^4*z0^4 + 2*x^7 - x^5*y*z0 + 2*x^3*y*z0^3 - 2*x^3*z0^4 + x^6 - 2*x^4*y*z0 + 2*x^4*z0^2 + x^2*y*z0^3 + 2*x^2*z0^4 - x^3*y*z0 + x^3*z0^2 - x^2*z0^2 - x^3 + x^2)/y) * dx,
+ ((2*x^61*z0^3 - 2*x^58*y^2*z0^3 + 2*x^61*z0 + x^59*z0^3 - x^60*z0 - 2*x^58*y^2*z0 - x^58*z0^3 - x^56*y^2*z0^3 + 2*x^59*z0 + x^57*y^2*z0 - x^55*y^2*z0^3 - 2*x^58*z0 - 2*x^56*y^2*z0 - x^56*z0^3 + x^57*z0 + x^55*z0^3 - 2*x^56*z0 + 2*x^55*z0 + x^53*z0^3 - x^54*z0 - x^52*z0^3 + 2*x^53*z0 - 2*x^52*z0 - x^50*z0^3 + x^51*z0 + x^49*z0^3 - 2*x^50*z0 + 2*x^49*z0 + x^47*z0^3 - x^48*z0 - x^46*z0^3 + 2*x^47*z0 - 2*x^46*z0 - x^44*z0^3 + x^45*z0 + x^43*z0^3 - 2*x^44*z0 + 2*x^43*z0 - 2*x^41*z0^3 + 2*x^39*y*z0^4 - x^42*z0 + x^40*y*z0^2 - x^40*z0^3 - x^41*z0 + 2*x^39*y*z0^2 + 2*x^39*z0^3 + x^37*y*z0^4 + x^40*y + 2*x^40*z0 - x^38*y*z0^2 - x^38*z0^3 - 2*x^36*y*z0^4 + 2*x^39*y - 2*x^39*z0 - x^37*y*z0^2 + 2*x^38*y - x^38*z0 + x^36*z0^3 - x^34*y*z0^4 + 2*x^37*y - 2*x^37*z0 - 2*x^35*y*z0^2 + x^35*z0^3 + x^33*y*z0^4 + x^36*y - 2*x^36*z0 + 2*x^34*y*z0^2 + x^34*z0^3 - 2*x^32*y*z0^4 + 2*x^35*y - x^35*z0 - x^33*z0^3 - x^31*y*z0^4 + x^34*z0 - x^32*z0^3 - 2*x^30*y*z0^4 - x^33*y + 2*x^33*z0 - x^31*z0^3 - x^29*y*z0^4 + x^32*y - x^32*z0 + x^30*z0^3 + 2*x^31*y - x^31*z0 - x^29*y*z0^2 + 2*x^27*y*z0^4 - 2*x^30*y - 2*x^30*z0 - x^28*y*z0^2 + x^28*z0^3 + 2*x^26*y*z0^4 - 2*x^29*z0 - x^28*y + x^28*z0 - x^26*y*z0^2 + x^26*z0^3 + 2*x^24*y*z0^4 - 2*x^27*y - x^27*z0 - x^25*y*z0^2 - 2*x^25*z0^3 - x^23*y*z0^4 - x^26*y + x^26*z0 + 2*x^24*y*z0^2 + x^25*y - 2*x^23*y*z0^2 - 2*x^23*z0^3 - x^24*y + x^24*z0 + 2*x^22*y*z0^2 + x^22*z0^3 + 2*x^20*y*z0^4 + x^23*z0 - x^21*y*z0^2 + x^21*z0^3 + 2*x^19*y*z0^4 - 2*x^22*y + x^22*z0 - x^20*z0^3 - x^18*y*z0^4 - 2*x^21*y + 2*x^21*z0 - x^19*y*z0^2 - x^19*z0^3 - x^17*y*z0^4 - x^20*y - 2*x^20*z0 - x^18*z0^3 + 2*x^16*y*z0^4 + x^19*y - x^17*y*z0^2 - x^17*z0^3 - x^15*y*z0^4 - x^18*y - 2*x^18*z0 + 2*x^16*z0^3 - x^14*y*z0^4 - 2*x^15*y*z0^2 + 2*x^15*z0^3 + 2*x^16*y + x^14*z0^3 + 2*x^12*y*z0^4 - x^15*y - x^13*y*z0^2 - 2*x^11*y*z0^4 + 2*x^14*z0 - x^12*y*z0^2 + x^12*z0^3 + x^13*y + x^13*z0 - 2*x^11*y*z0^2 + 2*x^11*z0^3 + 2*x^9*y*z0^4 - x^10*y*z0^2 - x^10*z0^3 + x^8*y*z0^4 - x^11*y + x^11*z0 - 2*x^9*y*z0^2 - 2*x^7*y*z0^4 - 2*x^10*y - 2*x^10*z0 + x^8*z0^3 - x^6*y*z0^4 + x^9*z0 - x^7*y*z0^2 - 2*x^7*z0^3 + x^5*y*z0^4 - 2*x^8*y - x^8*z0 + 2*x^6*y*z0^2 - 2*x^6*z0^3 + x^4*y^2*z0^3 + x^4*y*z0^4 + x^7*y + 2*x^5*y*z0^2 + x^5*z0^3 + x^3*y*z0^4 - 2*x^6*z0 + 2*x^4*y*z0^2 - x^5*y + 2*x^3*z0^3 + 2*x^4*y - x^4*z0 + x^2*y*z0^2 - 2*x^2*z0^3 - x^3*y - 2*x^3*z0 + x^2*y + x^2*z0)/y) * dx,
+ ((x^60*z0^4 + 2*x^61*z0^2 - 2*x^59*z0^4 - x^57*y^2*z0^4 - x^60*z0^2 - 2*x^58*y^2*z0^2 + 2*x^56*y^2*z0^4 + x^57*y^2*z0^2 - x^57*z0^4 + 2*x^60 - 2*x^58*z0^2 + 2*x^56*z0^4 - 2*x^57*y^2 + x^57*z0^2 + x^54*z0^4 - 2*x^57 + 2*x^55*z0^2 - 2*x^53*z0^4 - x^54*z0^2 - x^51*z0^4 + 2*x^54 - 2*x^52*z0^2 + 2*x^50*z0^4 + x^51*z0^2 + x^48*z0^4 - 2*x^51 + 2*x^49*z0^2 - 2*x^47*z0^4 - x^48*z0^2 - x^45*z0^4 + 2*x^48 - 2*x^46*z0^2 + 2*x^44*z0^4 + x^45*z0^2 + x^42*z0^4 - 2*x^45 + 2*x^43*z0^2 - 2*x^41*z0^4 - x^42*z0^2 + x^40*z0^4 + 2*x^41*z0^2 + 2*x^39*y*z0^3 - x^39*z0^4 + 2*x^42 + x^40*y*z0 - x^40*z0^2 - x^38*y*z0^3 - 2*x^39*y*z0 - x^39*z0^2 + x^37*y*z0^3 + x^40 - x^38*z0^2 + x^36*y*z0^3 - 2*x^36*z0^4 + 2*x^39 - x^37*y*z0 + 2*x^37*z0^2 + 2*x^35*y*z0^3 + x^35*z0^4 + x^38 - 2*x^36*y*z0 + x^36*z0^2 - x^34*y*z0^3 - 2*x^34*z0^4 - x^37 + 2*x^35*y*z0 - x^35*z0^2 + x^33*y*z0^3 + 2*x^33*z0^4 - 2*x^36 + 2*x^34*y*z0 - x^34*z0^2 + 2*x^32*y*z0^3 + x^35 - 2*x^33*y*z0 - 2*x^33*z0^2 - x^31*y*z0^3 - x^31*z0^4 + 2*x^34 - x^32*z0^2 + x^30*y*z0^3 - 2*x^30*z0^4 - x^33 + x^31*y*z0 + x^31*z0^2 - x^29*z0^4 - x^30*y*z0 + 2*x^28*y*z0^3 - 2*x^28*z0^4 - 2*x^29*y*z0 - x^29*z0^2 - x^30 - 2*x^28*y*z0 + x^28*z0^2 - x^26*y*z0^3 + 2*x^26*z0^4 + x^27*y*z0 + 2*x^27*z0^2 - x^25*y*z0^3 + x^25*z0^4 + x^28 - 2*x^24*y*z0^3 + 2*x^24*z0^4 + x^23*y*z0^3 - x^23*z0^4 + 2*x^26 - x^24*y*z0 + x^24*z0^2 + 2*x^22*y*z0^3 - 2*x^25 + x^23*y*z0 - x^23*z0^2 + x^21*y*z0^3 - x^21*z0^4 - 2*x^24 - x^22*y*z0 + x^20*y*z0^3 - x^20*z0^4 + x^23 + x^21*y*z0 - x^21*z0^2 + x^19*y*z0^3 + x^19*z0^4 + 2*x^22 + x^20*y*z0 - 2*x^20*z0^2 - x^18*y*z0^3 - x^18*z0^4 - x^21 + x^19*y*z0 - 2*x^20 + x^18*y*z0 + x^18*z0^2 - 2*x^16*y*z0^3 + 2*x^16*z0^4 - x^19 - x^17*y*z0 + x^15*y*z0^3 + 2*x^15*z0^4 - x^18 - 2*x^16*y*z0 - 2*x^16*z0^2 + 2*x^14*z0^4 - 2*x^15*y*z0 + 2*x^15*z0^2 + 2*x^13*y*z0^3 + 2*x^13*z0^4 + x^16 - x^14*z0^2 - x^12*y*z0^3 - 2*x^12*z0^4 - 2*x^13*y*z0 + 2*x^13*z0^2 + x^11*y*z0^3 + 2*x^11*z0^4 - x^14 - x^12*y*z0 + x^10*y*z0^3 + 2*x^10*z0^4 + 2*x^13 + 2*x^11*y*z0 - 2*x^11*z0^2 - x^12 - x^8*y*z0^3 + 2*x^8*z0^4 + 2*x^11 - x^9*z0^2 + x^7*y*z0^3 - 2*x^7*z0^4 + x^8*y*z0 + x^8*z0^2 - x^6*y*z0^3 + 2*x^6*z0^4 + x^4*y^2*z0^4 + 2*x^9 + x^7*y*z0 + 2*x^5*z0^4 + 2*x^8 - x^6*y*z0 - x^4*y*z0^3 + x^4*z0^4 + 2*x^5*y*z0 + x^3*y*z0^3 - x^3*z0^4 - 2*x^6 + 2*x^4*y*z0 + x^4*z0^2 - 2*x^2*z0^4 - 2*x^3*y*z0 - 2*x^3*z0^2 + 2*x^2*y*z0)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^8 + x^5*y^2 + x^5 - x^2)/y) * dx,
+ ((-x^8*z0 + x^5*y^2*z0 + x^5*z0 - x^2*z0)/y) * dx,
+ ((-x^8*z0^2 + x^5*y^2*z0^2 + x^5*z0^2 - x^2*z0^2)/y) * dx,
+ ((-x^8*z0^3 + x^5*y^2*z0^3 + x^5*z0^3 - x^2*z0^3)/y) * dx,
+ ((-x^8*z0^4 + x^5*y^2*z0^4 + x^5*z0^4 - x^2*z0^4)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^9 + x^6*y^2 + x^6 - x^3)/y) * dx,
+ ((-x^9*z0 + x^6*y^2*z0 + x^6*z0 - x^3*z0)/y) * dx,
+ ((-x^9*z0^2 + x^6*y^2*z0^2 + x^6*z0^2 - x^3*z0^2)/y) * dx,
+ ((-x^9*z0^3 + x^6*y^2*z0^3 + x^6*z0^3 - x^3*z0^3)/y) * dx,
+ ((-x^9*z0^4 + x^6*y^2*z0^4 + x^6*z0^4 - x^3*z0^4)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((x^61*z0^4 - x^58*y^2*z0^4 + 2*x^61*z0^2 - 2*x^59*z0^4 + 2*x^60*z0^2 - 2*x^58*y^2*z0^2 - x^58*z0^4 + 2*x^56*y^2*z0^4 - x^61 - 2*x^57*y^2*z0^2 + 2*x^60 + x^58*y^2 - 2*x^58*z0^2 + 2*x^56*z0^4 - 2*x^57*y^2 - 2*x^57*z0^2 + x^55*z0^4 + x^58 - 2*x^57 + 2*x^55*z0^2 - 2*x^53*z0^4 + 2*x^54*z0^2 - x^52*z0^4 - x^55 + 2*x^54 - 2*x^52*z0^2 + 2*x^50*z0^4 - 2*x^51*z0^2 + x^49*z0^4 + x^52 - 2*x^51 + 2*x^49*z0^2 - 2*x^47*z0^4 + 2*x^48*z0^2 - x^46*z0^4 - x^49 + 2*x^48 - 2*x^46*z0^2 + 2*x^44*z0^4 - 2*x^45*z0^2 + x^43*z0^4 + x^46 - 2*x^45 + 2*x^43*z0^2 + x^41*z0^4 + 2*x^42*z0^2 - 2*x^40*y*z0^3 - x^43 + 2*x^41*z0^2 + 2*x^39*y*z0^3 + 2*x^42 + x^40*y*z0 - 2*x^40*z0^2 - x^38*y*z0^3 + x^38*z0^4 - 2*x^41 + x^39*y*z0 + x^39*z0^2 - 2*x^37*y*z0^3 + 2*x^37*z0^4 + x^40 - 2*x^38*y*z0 - x^38*z0^2 + x^36*y*z0^3 + 2*x^36*z0^4 - 2*x^39 + 2*x^37*y*z0 + 2*x^37*z0^2 - x^35*y*z0^3 + x^35*z0^4 + 2*x^38 - x^36*y*z0 - x^36*z0^2 + 2*x^34*y*z0^3 + 2*x^34*z0^4 - x^37 - 2*x^35*y*z0 - x^33*y*z0^3 + 2*x^33*z0^4 + x^36 - x^34*y*z0 + 2*x^34*z0^2 + x^32*y*z0^3 + 2*x^35 - x^33*y*z0 - x^33*z0^2 + x^31*y*z0^3 - x^31*z0^4 + 2*x^34 - 2*x^32*z0^2 - x^30*y*z0^3 + x^30*z0^4 + 2*x^33 + x^31*y*z0 + x^31*z0^2 + x^29*y*z0^3 + x^29*z0^4 - 2*x^32 + 2*x^28*y*z0^3 - 2*x^28*z0^4 + 2*x^31 - x^29*y*z0 - 2*x^29*z0^2 + x^27*y*z0^3 + 2*x^27*z0^4 + x^30 - 2*x^28*z0^2 + 2*x^29 - 2*x^27*y*z0 + 2*x^27*z0^2 - 2*x^25*y*z0^3 - 2*x^25*z0^4 + 2*x^28 - x^26*y*z0 - x^26*z0^2 - x^24*y*z0^3 - 2*x^24*z0^4 + 2*x^27 + 2*x^25*z0^2 - x^23*y*z0^3 + x^23*z0^4 - 2*x^26 + 2*x^24*y*z0 + x^22*z0^4 + x^21*y*z0^3 - 2*x^21*z0^4 - x^24 + 2*x^22*y*z0 - 2*x^20*y*z0^3 - x^23 + 2*x^21*y*z0 - 2*x^21*z0^2 - x^19*y*z0^3 + x^19*z0^4 + 2*x^22 + x^20*y*z0 + 2*x^20*z0^2 + x^18*y*z0^3 - 2*x^18*z0^4 - 2*x^21 - 2*x^19*y*z0 - 2*x^19*z0^2 + x^17*y*z0^3 - 2*x^17*z0^4 - 2*x^20 + 2*x^18*y*z0 + x^18*z0^2 + 2*x^16*y*z0^3 + 2*x^16*z0^4 - 2*x^17*y*z0 + 2*x^17*z0^2 + x^15*y*z0^3 + 2*x^15*z0^4 + 2*x^18 + x^16*y*z0 + x^16*z0^2 + x^14*y*z0^3 - 2*x^14*z0^4 - 2*x^17 - 2*x^15*y*z0 + 2*x^15*z0^2 + x^13*z0^4 - 2*x^16 - 2*x^14*z0^2 - x^12*z0^4 - x^13*z0^2 + x^11*z0^4 + 2*x^14 - 2*x^12*z0^2 + 2*x^10*z0^4 - 2*x^13 - x^11*z0^2 - 2*x^9*y*z0^3 - x^9*z0^4 + x^10*y*z0 + x^8*y*z0^3 + x^8*z0^4 + x^11 + x^9*y*z0 + x^7*y*z0^3 + 2*x^7*z0^4 + 2*x^10 - 2*x^8*y*z0 + 2*x^8*z0^2 - 2*x^6*y*z0^3 - 2*x^6*z0^4 - x^9 + x^7*y^2 - 2*x^7*y*z0 + 2*x^7*z0^2 - x^5*y*z0^3 + 2*x^8 + 2*x^6*z0^2 - 2*x^4*z0^4 - x^7 - 2*x^5*y*z0 - x^5*z0^2 - 2*x^3*y*z0^3 - 2*x^3*z0^4 + x^6 - x^4*y*z0 - x^4*z0^2 - 2*x^2*y*z0^3 - 2*x^2*z0^4 + x^5 - 2*x^3*y*z0 + x^3*z0^2 + x^2*y*z0 + x^2*z0^2)/y) * dx,
+ ((-2*x^61*z0^3 - x^60*z0^3 + 2*x^58*y^2*z0^3 - x^61*z0 - x^59*z0^3 + x^57*y^2*z0^3 + x^58*y^2*z0 - x^58*z0^3 + x^56*y^2*z0^3 - 2*x^59*z0 - x^57*z0^3 - 2*x^55*y^2*z0^3 + x^58*z0 + 2*x^56*y^2*z0 + x^56*z0^3 + 2*x^54*y^2*z0^3 + x^55*z0^3 + 2*x^56*z0 + x^54*z0^3 - x^55*z0 - x^53*z0^3 - x^52*z0^3 - 2*x^53*z0 - x^51*z0^3 + x^52*z0 + x^50*z0^3 + x^49*z0^3 + 2*x^50*z0 + x^48*z0^3 - x^49*z0 - x^47*z0^3 - x^46*z0^3 - 2*x^47*z0 - x^45*z0^3 + x^46*z0 + x^44*z0^3 + x^43*z0^3 + 2*x^44*z0 + x^42*z0^3 - x^43*z0 + 2*x^41*z0^3 - 2*x^39*y*z0^4 - x^40*y*z0^2 - x^38*y*z0^4 + 2*x^41*z0 - x^39*y*z0^2 + 2*x^39*z0^3 + 2*x^37*y*z0^4 + 2*x^40*y + 2*x^40*z0 - x^38*y*z0^2 + x^38*z0^3 + 2*x^36*y*z0^4 + 2*x^39*z0 + 2*x^37*y*z0^2 + x^37*z0^3 - 2*x^38*z0 - 2*x^36*y*z0^2 + 2*x^34*y*z0^4 - x^37*y + 2*x^37*z0 + x^35*y*z0^2 + x^35*z0^3 + 2*x^33*y*z0^4 - 2*x^36*y + 2*x^36*z0 + 2*x^34*y*z0^2 + 2*x^34*z0^3 + 2*x^35*y + 2*x^33*y*z0^2 - x^33*z0^3 + 2*x^34*y - x^32*y*z0^2 - 2*x^32*z0^3 - 2*x^33*y + 2*x^33*z0 + x^31*y*z0^2 + x^31*z0^3 - x^29*y*z0^4 - x^32*y - 2*x^30*y*z0^2 - 2*x^30*z0^3 + x^28*y*z0^4 - x^31*y + x^31*z0 - x^29*y*z0^2 + x^29*z0^3 + x^27*y*z0^4 - x^30*y - x^30*z0 - x^28*z0^3 + 2*x^26*y*z0^4 - x^29*y - x^29*z0 - 2*x^27*y*z0^2 + 2*x^27*z0^3 + 2*x^25*y*z0^4 + 2*x^28*y - 2*x^28*z0 - x^26*z0^3 + x^27*y + 2*x^27*z0 + 2*x^25*y*z0^2 - 2*x^25*z0^3 - 2*x^26*z0 + x^24*y*z0^2 + 2*x^22*y*z0^4 + x^25*y + 2*x^25*z0 - 2*x^23*y*z0^2 - 2*x^23*z0^3 - 2*x^21*y*z0^4 + x^24*y + x^24*z0 + x^22*y*z0^2 - 2*x^20*y*z0^4 - 2*x^23*y + x^21*y*z0^2 - x^21*z0^3 - x^19*y*z0^4 - x^22*y + 2*x^22*z0 + 2*x^18*y*z0^4 - 2*x^21*y + x^21*z0 - x^19*y*z0^2 + 2*x^19*z0^3 + 2*x^17*y*z0^4 + 2*x^20*y - x^20*z0 - x^18*y*z0^2 - x^18*z0^3 - 2*x^16*y*z0^4 + 2*x^19*z0 + 2*x^17*y*z0^2 - 2*x^17*z0^3 - x^15*y*z0^4 - 2*x^18*y - x^18*z0 + x^16*y*z0^2 + x^14*y*z0^4 - x^17*y + 2*x^17*z0 - x^15*z0^3 - 2*x^13*y*z0^4 - x^16*y - 2*x^16*z0 - 2*x^14*y*z0^2 - x^14*z0^3 + 2*x^12*y*z0^4 - 2*x^15*z0 + x^13*y*z0^2 - 2*x^14*y + 2*x^14*z0 - 2*x^12*y*z0^2 + x^10*y*z0^4 + x^13*y + x^11*y*z0^2 + x^9*y*z0^4 - x^12*z0 + x^10*y*z0^2 + 2*x^10*z0^3 + 2*x^8*y*z0^4 + x^11*y - 2*x^11*z0 + 2*x^9*y*z0^2 + x^7*y*z0^4 - 2*x^10*y + 2*x^10*z0 - 2*x^8*y*z0^2 + 2*x^8*z0^3 + 2*x^6*y*z0^4 + x^9*y - 2*x^9*z0 + x^7*y^2*z0 - x^7*y*z0^2 + 2*x^7*z0^3 - x^5*y*z0^4 + x^8*y + x^8*z0 + x^6*y*z0^2 - 2*x^4*y*z0^4 + 2*x^7*y - x^7*z0 - x^5*y*z0^2 + 2*x^5*z0^3 + 2*x^3*y*z0^4 - 2*x^6*y + x^4*y*z0^2 - 2*x^4*z0^3 + 2*x^2*y*z0^4 + x^5*y + 2*x^5*z0 - 2*x^3*y*z0^2 - x^3*z0^3 + x^4*y + 2*x^4*z0 - 2*x^2*y*z0^2 + x^2*z0^3 + 2*x^3*y - x^3*z0 + x^2*y - x^2*z0)/y) * dx,
+ ((2*x^61*z0^4 - 2*x^60*z0^4 - 2*x^58*y^2*z0^4 - 2*x^61*z0^2 - x^59*z0^4 + 2*x^57*y^2*z0^4 + x^60*z0^2 + 2*x^58*y^2*z0^2 - 2*x^58*z0^4 + x^56*y^2*z0^4 - x^57*y^2*z0^2 + 2*x^57*z0^4 - x^60 + 2*x^58*z0^2 + x^56*z0^4 + x^57*y^2 - x^57*z0^2 + 2*x^55*z0^4 - 2*x^54*z0^4 + x^57 - 2*x^55*z0^2 - x^53*z0^4 + x^54*z0^2 - 2*x^52*z0^4 + 2*x^51*z0^4 - x^54 + 2*x^52*z0^2 + x^50*z0^4 - x^51*z0^2 + 2*x^49*z0^4 - 2*x^48*z0^4 + x^51 - 2*x^49*z0^2 - x^47*z0^4 + x^48*z0^2 - 2*x^46*z0^4 + 2*x^45*z0^4 - x^48 + 2*x^46*z0^2 + x^44*z0^4 - x^45*z0^2 + 2*x^43*z0^4 - 2*x^42*z0^4 + x^45 - 2*x^43*z0^2 + x^41*z0^4 + x^42*z0^2 + x^40*y*z0^3 + x^40*z0^4 - 2*x^41*z0^2 - 2*x^39*y*z0^3 + x^39*z0^4 - x^42 - x^40*y*z0 - 2*x^40*z0^2 - x^38*z0^4 + 2*x^41 - 2*x^39*y*z0 + x^39*z0^2 - x^37*y*z0^3 - 2*x^37*z0^4 - x^40 + 2*x^38*y*z0 + x^38*z0^2 - x^36*y*z0^3 + 2*x^36*z0^4 - 2*x^39 + x^37*y*z0 - 2*x^35*y*z0^3 - 2*x^35*z0^4 + 2*x^38 + x^36*y*z0 - x^36*z0^2 + x^34*y*z0^3 - x^37 - x^35*y*z0 - 2*x^35*z0^2 + 2*x^33*y*z0^3 - x^34*y*z0 + x^32*y*z0^3 + 2*x^35 - 2*x^33*z0^2 - 2*x^31*y*z0^3 - 2*x^31*z0^4 + 2*x^34 + 2*x^32*z0^2 + 2*x^30*y*z0^3 - x^30*z0^4 - x^33 + 2*x^31*y*z0 - 2*x^31*z0^2 + x^29*y*z0^3 + x^29*z0^4 - 2*x^32 - 2*x^30*y*z0 + 2*x^28*y*z0^3 + 2*x^28*z0^4 - x^29*y*z0 - x^29*z0^2 + 2*x^27*y*z0^3 - 2*x^27*z0^4 - 2*x^30 - x^28*y*z0 + 2*x^26*y*z0^3 + 2*x^26*z0^4 + 2*x^27*y*z0 + x^27*z0^2 + x^25*y*z0^3 + 2*x^28 - 2*x^26*y*z0 + x^26*z0^2 + 2*x^24*y*z0^3 + x^24*z0^4 + 2*x^27 + x^25*y*z0 - 2*x^25*z0^2 - x^23*y*z0^3 + x^23*z0^4 + 2*x^26 - 2*x^24*y*z0 + 2*x^24*z0^2 + 2*x^22*y*z0^3 - x^22*z0^4 + 2*x^25 + x^23*y*z0 - 2*x^23*z0^2 - x^21*y*z0^3 - 2*x^22*y*z0 - x^22*z0^2 - x^20*y*z0^3 + 2*x^20*z0^4 + 2*x^21*y*z0 - x^21*z0^2 - x^19*y*z0^3 - x^19*z0^4 - x^20*y*z0 + x^20*z0^2 + x^18*y*z0^3 + 2*x^18*z0^4 - 2*x^21 - 2*x^19*y*z0 - x^17*y*z0^3 + 2*x^17*z0^4 - 2*x^18*z0^2 - 2*x^16*y*z0^3 - 2*x^19 + 2*x^17*y*z0 + 2*x^17*z0^2 - x^15*y*z0^3 - 2*x^18 + 2*x^16*z0^2 - x^14*y*z0^3 + 2*x^14*z0^4 + x^17 - x^15*y*z0 - x^13*y*z0^3 - x^13*z0^4 + x^16 - 2*x^14*y*z0 + x^12*y*z0^3 + x^15 - 2*x^13*y*z0 - 2*x^13*z0^2 + x^11*y*z0^3 + x^11*z0^4 - x^10*y*z0^3 - x^10*z0^4 - x^11*y*z0 + 2*x^9*y*z0^3 - 2*x^9*z0^4 + 2*x^12 - x^10*y*z0 + 2*x^8*y*z0^3 + 2*x^8*z0^4 + x^7*y^2*z0^2 + 2*x^7*y*z0^3 + x^7*z0^4 + 2*x^10 + 2*x^8*z0^2 - 2*x^6*y*z0^3 - 2*x^6*z0^4 + 2*x^9 - x^7*y*z0 - 2*x^7*z0^2 + 2*x^5*z0^4 - x^8 + 2*x^6*y*z0 + x^6*z0^2 + x^4*y*z0^3 + 2*x^4*z0^4 - 2*x^7 + x^5*y*z0 - 2*x^3*y*z0^3 + 2*x^3*z0^4 - x^6 + 2*x^4*y*z0 - 2*x^4*z0^2 - x^2*y*z0^3 - 2*x^2*z0^4 + x^3*y*z0 - x^3*z0^2 + x^2*z0^2 + x^3 - x^2)/y) * dx,
+ ((-2*x^61*z0^3 + 2*x^58*y^2*z0^3 - 2*x^61*z0 - x^59*z0^3 + x^60*z0 + 2*x^58*y^2*z0 + x^58*z0^3 + x^56*y^2*z0^3 - 2*x^59*z0 - x^57*y^2*z0 + x^55*y^2*z0^3 + 2*x^58*z0 + 2*x^56*y^2*z0 + x^56*z0^3 - x^57*z0 - x^55*z0^3 + 2*x^56*z0 - 2*x^55*z0 - x^53*z0^3 + x^54*z0 + x^52*z0^3 - 2*x^53*z0 + 2*x^52*z0 + x^50*z0^3 - x^51*z0 - x^49*z0^3 + 2*x^50*z0 - 2*x^49*z0 - x^47*z0^3 + x^48*z0 + x^46*z0^3 - 2*x^47*z0 + 2*x^46*z0 + x^44*z0^3 - x^45*z0 - x^43*z0^3 + 2*x^44*z0 - 2*x^43*z0 + 2*x^41*z0^3 - 2*x^39*y*z0^4 + x^42*z0 - x^40*y*z0^2 + x^40*z0^3 + x^41*z0 - 2*x^39*y*z0^2 - 2*x^39*z0^3 - x^37*y*z0^4 - x^40*y - 2*x^40*z0 + x^38*y*z0^2 + x^38*z0^3 + 2*x^36*y*z0^4 - 2*x^39*y + 2*x^39*z0 + x^37*y*z0^2 - 2*x^38*y + x^38*z0 - x^36*z0^3 + x^34*y*z0^4 - 2*x^37*y + 2*x^37*z0 + 2*x^35*y*z0^2 - x^35*z0^3 - x^33*y*z0^4 - x^36*y + 2*x^36*z0 - 2*x^34*y*z0^2 - x^34*z0^3 + 2*x^32*y*z0^4 - 2*x^35*y + x^35*z0 + x^33*z0^3 + x^31*y*z0^4 - x^34*z0 + x^32*z0^3 + 2*x^30*y*z0^4 + x^33*y - 2*x^33*z0 + x^31*z0^3 + x^29*y*z0^4 - x^32*y + x^32*z0 - x^30*z0^3 - 2*x^31*y + x^31*z0 + x^29*y*z0^2 - 2*x^27*y*z0^4 + 2*x^30*y + 2*x^30*z0 + x^28*y*z0^2 - x^28*z0^3 - 2*x^26*y*z0^4 + 2*x^29*z0 + x^28*y - x^28*z0 + x^26*y*z0^2 - x^26*z0^3 - 2*x^24*y*z0^4 + 2*x^27*y + x^27*z0 + x^25*y*z0^2 + 2*x^25*z0^3 + x^23*y*z0^4 + x^26*y - x^26*z0 - 2*x^24*y*z0^2 - x^25*y + 2*x^23*y*z0^2 + 2*x^23*z0^3 + x^24*y - x^24*z0 - 2*x^22*y*z0^2 - x^22*z0^3 - 2*x^20*y*z0^4 - x^23*z0 + x^21*y*z0^2 - x^21*z0^3 - 2*x^19*y*z0^4 + 2*x^22*y - x^22*z0 + x^20*z0^3 + x^18*y*z0^4 + 2*x^21*y - 2*x^21*z0 + x^19*y*z0^2 + x^19*z0^3 + x^17*y*z0^4 + x^20*y + 2*x^20*z0 + x^18*z0^3 - 2*x^16*y*z0^4 - x^19*y + x^17*y*z0^2 + x^17*z0^3 + x^15*y*z0^4 + x^18*y + 2*x^18*z0 - 2*x^16*z0^3 + x^14*y*z0^4 + 2*x^15*y*z0^2 - 2*x^15*z0^3 - 2*x^16*y - x^14*z0^3 - 2*x^12*y*z0^4 + x^15*y + x^13*y*z0^2 + 2*x^11*y*z0^4 - 2*x^14*z0 + x^12*y*z0^2 - x^12*z0^3 - x^13*y - x^13*z0 + 2*x^11*y*z0^2 - 2*x^11*z0^3 - 2*x^9*y*z0^4 + x^10*y*z0^2 - x^8*y*z0^4 + x^11*y - x^11*z0 + 2*x^9*y*z0^2 + x^7*y^2*z0^3 + 2*x^7*y*z0^4 + 2*x^10*y + 2*x^10*z0 - x^8*z0^3 + x^6*y*z0^4 - x^9*z0 + x^7*y*z0^2 + 2*x^7*z0^3 - x^5*y*z0^4 + 2*x^8*y + x^8*z0 - 2*x^6*y*z0^2 + 2*x^6*z0^3 - x^4*y*z0^4 - x^7*y - 2*x^5*y*z0^2 - x^5*z0^3 - x^3*y*z0^4 + 2*x^6*z0 - 2*x^4*y*z0^2 + x^5*y - 2*x^3*z0^3 - 2*x^4*y + x^4*z0 - x^2*y*z0^2 + 2*x^2*z0^3 + x^3*y + 2*x^3*z0 - x^2*y - x^2*z0)/y) * dx,
+ ((-x^60*z0^4 - 2*x^61*z0^2 + 2*x^59*z0^4 + x^57*y^2*z0^4 + x^60*z0^2 + 2*x^58*y^2*z0^2 - 2*x^56*y^2*z0^4 - x^57*y^2*z0^2 + x^57*z0^4 - 2*x^60 + 2*x^58*z0^2 - 2*x^56*z0^4 + 2*x^57*y^2 - x^57*z0^2 - x^54*z0^4 + 2*x^57 - 2*x^55*z0^2 + 2*x^53*z0^4 + x^54*z0^2 + x^51*z0^4 - 2*x^54 + 2*x^52*z0^2 - 2*x^50*z0^4 - x^51*z0^2 - x^48*z0^4 + 2*x^51 - 2*x^49*z0^2 + 2*x^47*z0^4 + x^48*z0^2 + x^45*z0^4 - 2*x^48 + 2*x^46*z0^2 - 2*x^44*z0^4 - x^45*z0^2 - x^42*z0^4 + 2*x^45 - 2*x^43*z0^2 + 2*x^41*z0^4 + x^42*z0^2 - x^40*z0^4 - 2*x^41*z0^2 - 2*x^39*y*z0^3 + x^39*z0^4 - 2*x^42 - x^40*y*z0 + x^40*z0^2 + x^38*y*z0^3 + 2*x^39*y*z0 + x^39*z0^2 - x^37*y*z0^3 - x^40 + x^38*z0^2 - x^36*y*z0^3 + 2*x^36*z0^4 - 2*x^39 + x^37*y*z0 - 2*x^37*z0^2 - 2*x^35*y*z0^3 - x^35*z0^4 - x^38 + 2*x^36*y*z0 - x^36*z0^2 + x^34*y*z0^3 + 2*x^34*z0^4 + x^37 - 2*x^35*y*z0 + x^35*z0^2 - x^33*y*z0^3 - 2*x^33*z0^4 + 2*x^36 - 2*x^34*y*z0 + x^34*z0^2 - 2*x^32*y*z0^3 - x^35 + 2*x^33*y*z0 + 2*x^33*z0^2 + x^31*y*z0^3 + x^31*z0^4 - 2*x^34 + x^32*z0^2 - x^30*y*z0^3 + 2*x^30*z0^4 + x^33 - x^31*y*z0 - x^31*z0^2 + x^29*z0^4 + x^30*y*z0 - 2*x^28*y*z0^3 + 2*x^28*z0^4 + 2*x^29*y*z0 + x^29*z0^2 + x^30 + 2*x^28*y*z0 - x^28*z0^2 + x^26*y*z0^3 - 2*x^26*z0^4 - x^27*y*z0 - 2*x^27*z0^2 + x^25*y*z0^3 - x^25*z0^4 - x^28 + 2*x^24*y*z0^3 - 2*x^24*z0^4 - x^23*y*z0^3 + x^23*z0^4 - 2*x^26 + x^24*y*z0 - x^24*z0^2 - 2*x^22*y*z0^3 + 2*x^25 - x^23*y*z0 + x^23*z0^2 - x^21*y*z0^3 + x^21*z0^4 + 2*x^24 + x^22*y*z0 - x^20*y*z0^3 + x^20*z0^4 - x^23 - x^21*y*z0 + x^21*z0^2 - x^19*y*z0^3 - x^19*z0^4 - 2*x^22 - x^20*y*z0 + 2*x^20*z0^2 + x^18*y*z0^3 + x^18*z0^4 + x^21 - x^19*y*z0 + 2*x^20 - x^18*y*z0 - x^18*z0^2 + 2*x^16*y*z0^3 - 2*x^16*z0^4 + x^19 + x^17*y*z0 - x^15*y*z0^3 - 2*x^15*z0^4 + x^18 + 2*x^16*y*z0 + 2*x^16*z0^2 - 2*x^14*z0^4 + 2*x^15*y*z0 - 2*x^15*z0^2 - 2*x^13*y*z0^3 - 2*x^13*z0^4 - x^16 + x^14*z0^2 + x^12*y*z0^3 + 2*x^12*z0^4 + 2*x^13*y*z0 - 2*x^13*z0^2 - x^11*y*z0^3 - 2*x^11*z0^4 + x^14 + x^12*y*z0 - x^10*y*z0^3 + 2*x^10*z0^4 - 2*x^13 - 2*x^11*y*z0 + 2*x^11*z0^2 + x^7*y^2*z0^4 + x^12 + x^8*y*z0^3 - 2*x^8*z0^4 - 2*x^11 + x^9*z0^2 - x^7*y*z0^3 + 2*x^7*z0^4 - x^8*y*z0 - x^8*z0^2 + x^6*y*z0^3 - 2*x^6*z0^4 - 2*x^9 - x^7*y*z0 - 2*x^5*z0^4 - 2*x^8 + x^6*y*z0 + x^4*y*z0^3 - x^4*z0^4 - 2*x^5*y*z0 - x^3*y*z0^3 + x^3*z0^4 + 2*x^6 - 2*x^4*y*z0 - x^4*z0^2 + 2*x^2*z0^4 + 2*x^3*y*z0 + 2*x^3*z0^2 - 2*x^2*y*z0)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^11 + x^8*y^2 + x^8 - x^5 + x^2)/y) * dx,
+ ((-x^11*z0 + x^8*y^2*z0 + x^8*z0 - x^5*z0 + x^2*z0)/y) * dx,
+ ((-x^11*z0^2 + x^8*y^2*z0^2 + x^8*z0^2 - x^5*z0^2 + x^2*z0^2)/y) * dx,
+ ((-x^11*z0^3 + x^8*y^2*z0^3 + x^8*z0^3 - x^5*z0^3 + x^2*z0^3)/y) * dx,
+ ((-x^11*z0^4 + x^8*y^2*z0^4 + x^8*z0^4 - x^5*z0^4 + x^2*z0^4)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^12 + x^9*y^2 + x^9 - x^6 + x^3)/y) * dx,
+ ((-x^12*z0 + x^9*y^2*z0 + x^9*z0 - x^6*z0 + x^3*z0)/y) * dx,
+ ((-x^12*z0^2 + x^9*y^2*z0^2 + x^9*z0^2 - x^6*z0^2 + x^3*z0^2)/y) * dx,
+ ((-x^12*z0^3 + x^9*y^2*z0^3 + x^9*z0^3 - x^6*z0^3 + x^3*z0^3)/y) * dx,
+ ((-x^12*z0^4 + x^9*y^2*z0^4 + x^9*z0^4 - x^6*z0^4 + x^3*z0^4)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^61*z0^4 + x^58*y^2*z0^4 - 2*x^61*z0^2 + 2*x^59*z0^4 - 2*x^60*z0^2 + 2*x^58*y^2*z0^2 + x^58*z0^4 - 2*x^56*y^2*z0^4 + x^61 + 2*x^57*y^2*z0^2 - 2*x^60 - x^58*y^2 + 2*x^58*z0^2 - 2*x^56*z0^4 + 2*x^57*y^2 + 2*x^57*z0^2 - x^55*z0^4 - x^58 + 2*x^57 - 2*x^55*z0^2 + 2*x^53*z0^4 - 2*x^54*z0^2 + x^52*z0^4 + x^55 - 2*x^54 + 2*x^52*z0^2 - 2*x^50*z0^4 + 2*x^51*z0^2 - x^49*z0^4 - x^52 + 2*x^51 - 2*x^49*z0^2 + 2*x^47*z0^4 - 2*x^48*z0^2 + x^46*z0^4 + x^49 - 2*x^48 + 2*x^46*z0^2 - 2*x^44*z0^4 + 2*x^45*z0^2 - x^43*z0^4 - x^46 + 2*x^45 - 2*x^43*z0^2 - x^41*z0^4 - 2*x^42*z0^2 + 2*x^40*y*z0^3 + x^43 - 2*x^41*z0^2 - 2*x^39*y*z0^3 - 2*x^42 - x^40*y*z0 + 2*x^40*z0^2 + x^38*y*z0^3 - x^38*z0^4 + 2*x^41 - x^39*y*z0 - x^39*z0^2 + 2*x^37*y*z0^3 - 2*x^37*z0^4 - x^40 + 2*x^38*y*z0 + x^38*z0^2 - x^36*y*z0^3 - 2*x^36*z0^4 + 2*x^39 - 2*x^37*y*z0 - 2*x^37*z0^2 + x^35*y*z0^3 - x^35*z0^4 - 2*x^38 + x^36*y*z0 + x^36*z0^2 - 2*x^34*y*z0^3 - 2*x^34*z0^4 + x^37 + 2*x^35*y*z0 + x^33*y*z0^3 - 2*x^33*z0^4 - x^36 + x^34*y*z0 - 2*x^34*z0^2 - x^32*y*z0^3 - 2*x^35 + x^33*y*z0 + x^33*z0^2 - x^31*y*z0^3 + x^31*z0^4 - 2*x^34 + 2*x^32*z0^2 + x^30*y*z0^3 - x^30*z0^4 - 2*x^33 - x^31*y*z0 - x^31*z0^2 - x^29*y*z0^3 - x^29*z0^4 + 2*x^32 - 2*x^28*y*z0^3 + 2*x^28*z0^4 - 2*x^31 + x^29*y*z0 + 2*x^29*z0^2 - x^27*y*z0^3 - 2*x^27*z0^4 - x^30 + 2*x^28*z0^2 - 2*x^29 + 2*x^27*y*z0 - 2*x^27*z0^2 + 2*x^25*y*z0^3 + 2*x^25*z0^4 - 2*x^28 + x^26*y*z0 + x^26*z0^2 + x^24*y*z0^3 + 2*x^24*z0^4 - 2*x^27 - 2*x^25*z0^2 + x^23*y*z0^3 - x^23*z0^4 + 2*x^26 - 2*x^24*y*z0 - x^22*z0^4 - x^21*y*z0^3 + 2*x^21*z0^4 + x^24 - 2*x^22*y*z0 + 2*x^20*y*z0^3 + x^23 - 2*x^21*y*z0 + 2*x^21*z0^2 + x^19*y*z0^3 - x^19*z0^4 - 2*x^22 - x^20*y*z0 - 2*x^20*z0^2 - x^18*y*z0^3 + 2*x^18*z0^4 + 2*x^21 + 2*x^19*y*z0 + 2*x^19*z0^2 - x^17*y*z0^3 + 2*x^17*z0^4 + 2*x^20 - 2*x^18*y*z0 - x^18*z0^2 - 2*x^16*y*z0^3 - 2*x^16*z0^4 + 2*x^17*y*z0 - 2*x^17*z0^2 - x^15*y*z0^3 - 2*x^15*z0^4 - 2*x^18 - x^16*y*z0 - x^16*z0^2 - x^14*y*z0^3 + 2*x^14*z0^4 + 2*x^17 + 2*x^15*y*z0 - 2*x^15*z0^2 - x^13*z0^4 + 2*x^16 + 2*x^14*z0^2 + x^12*z0^4 + x^13*z0^2 - x^11*z0^4 - 2*x^14 + 2*x^12*z0^2 - 2*x^10*z0^4 + x^13 + x^11*z0^2 + 2*x^9*y*z0^3 + x^9*z0^4 + x^10*y^2 - x^10*y*z0 - x^8*y*z0^3 - x^8*z0^4 - x^11 - x^9*y*z0 - x^7*y*z0^3 - 2*x^7*z0^4 - 2*x^10 + 2*x^8*y*z0 - 2*x^8*z0^2 + 2*x^6*y*z0^3 + 2*x^6*z0^4 + x^9 + 2*x^7*y*z0 - 2*x^7*z0^2 + x^5*y*z0^3 - 2*x^8 - 2*x^6*z0^2 + 2*x^4*z0^4 + x^7 + 2*x^5*y*z0 + x^5*z0^2 + 2*x^3*y*z0^3 + 2*x^3*z0^4 - x^6 + x^4*y*z0 + x^4*z0^2 + 2*x^2*y*z0^3 + 2*x^2*z0^4 - x^5 + 2*x^3*y*z0 - x^3*z0^2 - x^2*y*z0 - x^2*z0^2)/y) * dx,
+ ((2*x^61*z0^3 + x^60*z0^3 - 2*x^58*y^2*z0^3 + x^61*z0 + x^59*z0^3 - x^57*y^2*z0^3 - x^58*y^2*z0 + x^58*z0^3 - x^56*y^2*z0^3 + 2*x^59*z0 + x^57*z0^3 + 2*x^55*y^2*z0^3 - x^58*z0 - 2*x^56*y^2*z0 - x^56*z0^3 - 2*x^54*y^2*z0^3 - x^55*z0^3 - 2*x^56*z0 - x^54*z0^3 + x^55*z0 + x^53*z0^3 + x^52*z0^3 + 2*x^53*z0 + x^51*z0^3 - x^52*z0 - x^50*z0^3 - x^49*z0^3 - 2*x^50*z0 - x^48*z0^3 + x^49*z0 + x^47*z0^3 + x^46*z0^3 + 2*x^47*z0 + x^45*z0^3 - x^46*z0 - x^44*z0^3 - x^43*z0^3 - 2*x^44*z0 - x^42*z0^3 + x^43*z0 - 2*x^41*z0^3 + 2*x^39*y*z0^4 + x^40*y*z0^2 + x^38*y*z0^4 - 2*x^41*z0 + x^39*y*z0^2 - 2*x^39*z0^3 - 2*x^37*y*z0^4 - 2*x^40*y - 2*x^40*z0 + x^38*y*z0^2 - x^38*z0^3 - 2*x^36*y*z0^4 - 2*x^39*z0 - 2*x^37*y*z0^2 - x^37*z0^3 + 2*x^38*z0 + 2*x^36*y*z0^2 - 2*x^34*y*z0^4 + x^37*y - 2*x^37*z0 - x^35*y*z0^2 - x^35*z0^3 - 2*x^33*y*z0^4 + 2*x^36*y - 2*x^36*z0 - 2*x^34*y*z0^2 - 2*x^34*z0^3 - 2*x^35*y - 2*x^33*y*z0^2 + x^33*z0^3 - 2*x^34*y + x^32*y*z0^2 + 2*x^32*z0^3 + 2*x^33*y - 2*x^33*z0 - x^31*y*z0^2 - x^31*z0^3 + x^29*y*z0^4 + x^32*y + 2*x^30*y*z0^2 + 2*x^30*z0^3 - x^28*y*z0^4 + x^31*y - x^31*z0 + x^29*y*z0^2 - x^29*z0^3 - x^27*y*z0^4 + x^30*y + x^30*z0 + x^28*z0^3 - 2*x^26*y*z0^4 + x^29*y + x^29*z0 + 2*x^27*y*z0^2 - 2*x^27*z0^3 - 2*x^25*y*z0^4 - 2*x^28*y + 2*x^28*z0 + x^26*z0^3 - x^27*y - 2*x^27*z0 - 2*x^25*y*z0^2 + 2*x^25*z0^3 + 2*x^26*z0 - x^24*y*z0^2 - 2*x^22*y*z0^4 - x^25*y - 2*x^25*z0 + 2*x^23*y*z0^2 + 2*x^23*z0^3 + 2*x^21*y*z0^4 - x^24*y - x^24*z0 - x^22*y*z0^2 + 2*x^20*y*z0^4 + 2*x^23*y - x^21*y*z0^2 + x^21*z0^3 + x^19*y*z0^4 + x^22*y - 2*x^22*z0 - 2*x^18*y*z0^4 + 2*x^21*y - x^21*z0 + x^19*y*z0^2 - 2*x^19*z0^3 - 2*x^17*y*z0^4 - 2*x^20*y + x^20*z0 + x^18*y*z0^2 + x^18*z0^3 + 2*x^16*y*z0^4 - 2*x^19*z0 - 2*x^17*y*z0^2 + 2*x^17*z0^3 + x^15*y*z0^4 + 2*x^18*y + x^18*z0 - x^16*y*z0^2 - x^14*y*z0^4 + x^17*y - 2*x^17*z0 + x^15*z0^3 + 2*x^13*y*z0^4 + x^16*y + 2*x^16*z0 + 2*x^14*y*z0^2 + x^14*z0^3 - 2*x^12*y*z0^4 + 2*x^15*z0 - x^13*y*z0^2 + 2*x^14*y - 2*x^14*z0 + 2*x^12*y*z0^2 - x^10*y*z0^4 - x^13*y - x^13*z0 - x^11*y*z0^2 - x^9*y*z0^4 + x^12*z0 + x^10*y^2*z0 - x^10*y*z0^2 - 2*x^10*z0^3 - 2*x^8*y*z0^4 - x^11*y + 2*x^11*z0 - 2*x^9*y*z0^2 - x^7*y*z0^4 + 2*x^10*y - 2*x^10*z0 + 2*x^8*y*z0^2 - 2*x^8*z0^3 - 2*x^6*y*z0^4 - x^9*y + 2*x^9*z0 + x^7*y*z0^2 - 2*x^7*z0^3 + x^5*y*z0^4 - x^8*y - x^8*z0 - x^6*y*z0^2 + 2*x^4*y*z0^4 - 2*x^7*y + x^7*z0 + x^5*y*z0^2 - 2*x^5*z0^3 - 2*x^3*y*z0^4 + 2*x^6*y - x^4*y*z0^2 + 2*x^4*z0^3 - 2*x^2*y*z0^4 - x^5*y - 2*x^5*z0 + 2*x^3*y*z0^2 + x^3*z0^3 - x^4*y - 2*x^4*z0 + 2*x^2*y*z0^2 - x^2*z0^3 - 2*x^3*y + x^3*z0 - x^2*y + x^2*z0)/y) * dx,
+ ((-2*x^61*z0^4 + 2*x^60*z0^4 + 2*x^58*y^2*z0^4 + 2*x^61*z0^2 + x^59*z0^4 - 2*x^57*y^2*z0^4 - x^60*z0^2 - 2*x^58*y^2*z0^2 + 2*x^58*z0^4 - x^56*y^2*z0^4 + x^57*y^2*z0^2 - 2*x^57*z0^4 + x^60 - 2*x^58*z0^2 - x^56*z0^4 - x^57*y^2 + x^57*z0^2 - 2*x^55*z0^4 + 2*x^54*z0^4 - x^57 + 2*x^55*z0^2 + x^53*z0^4 - x^54*z0^2 + 2*x^52*z0^4 - 2*x^51*z0^4 + x^54 - 2*x^52*z0^2 - x^50*z0^4 + x^51*z0^2 - 2*x^49*z0^4 + 2*x^48*z0^4 - x^51 + 2*x^49*z0^2 + x^47*z0^4 - x^48*z0^2 + 2*x^46*z0^4 - 2*x^45*z0^4 + x^48 - 2*x^46*z0^2 - x^44*z0^4 + x^45*z0^2 - 2*x^43*z0^4 + 2*x^42*z0^4 - x^45 + 2*x^43*z0^2 - x^41*z0^4 - x^42*z0^2 - x^40*y*z0^3 - x^40*z0^4 + 2*x^41*z0^2 + 2*x^39*y*z0^3 - x^39*z0^4 + x^42 + x^40*y*z0 + 2*x^40*z0^2 + x^38*z0^4 - 2*x^41 + 2*x^39*y*z0 - x^39*z0^2 + x^37*y*z0^3 + 2*x^37*z0^4 + x^40 - 2*x^38*y*z0 - x^38*z0^2 + x^36*y*z0^3 - 2*x^36*z0^4 + 2*x^39 - x^37*y*z0 + 2*x^35*y*z0^3 + 2*x^35*z0^4 - 2*x^38 - x^36*y*z0 + x^36*z0^2 - x^34*y*z0^3 + x^37 + x^35*y*z0 + 2*x^35*z0^2 - 2*x^33*y*z0^3 + x^34*y*z0 - x^32*y*z0^3 - 2*x^35 + 2*x^33*z0^2 + 2*x^31*y*z0^3 + 2*x^31*z0^4 - 2*x^34 - 2*x^32*z0^2 - 2*x^30*y*z0^3 + x^30*z0^4 + x^33 - 2*x^31*y*z0 + 2*x^31*z0^2 - x^29*y*z0^3 - x^29*z0^4 + 2*x^32 + 2*x^30*y*z0 - 2*x^28*y*z0^3 - 2*x^28*z0^4 + x^29*y*z0 + x^29*z0^2 - 2*x^27*y*z0^3 + 2*x^27*z0^4 + 2*x^30 + x^28*y*z0 - 2*x^26*y*z0^3 - 2*x^26*z0^4 - 2*x^27*y*z0 - x^27*z0^2 - x^25*y*z0^3 - 2*x^28 + 2*x^26*y*z0 - x^26*z0^2 - 2*x^24*y*z0^3 - x^24*z0^4 - 2*x^27 - x^25*y*z0 + 2*x^25*z0^2 + x^23*y*z0^3 - x^23*z0^4 - 2*x^26 + 2*x^24*y*z0 - 2*x^24*z0^2 - 2*x^22*y*z0^3 + x^22*z0^4 - 2*x^25 - x^23*y*z0 + 2*x^23*z0^2 + x^21*y*z0^3 + 2*x^22*y*z0 + x^22*z0^2 + x^20*y*z0^3 - 2*x^20*z0^4 - 2*x^21*y*z0 + x^21*z0^2 + x^19*y*z0^3 + x^19*z0^4 + x^20*y*z0 - x^20*z0^2 - x^18*y*z0^3 - 2*x^18*z0^4 + 2*x^21 + 2*x^19*y*z0 + x^17*y*z0^3 - 2*x^17*z0^4 + 2*x^18*z0^2 + 2*x^16*y*z0^3 + 2*x^19 - 2*x^17*y*z0 - 2*x^17*z0^2 + x^15*y*z0^3 + 2*x^18 - 2*x^16*z0^2 + x^14*y*z0^3 - 2*x^14*z0^4 - x^17 + x^15*y*z0 + x^13*y*z0^3 + x^13*z0^4 - x^16 + 2*x^14*y*z0 - x^12*y*z0^3 - x^15 + 2*x^13*y*z0 + x^13*z0^2 - x^11*y*z0^3 - x^11*z0^4 + x^10*y^2*z0^2 + x^10*y*z0^3 + x^10*z0^4 + x^11*y*z0 - 2*x^9*y*z0^3 + 2*x^9*z0^4 - 2*x^12 + x^10*y*z0 - 2*x^8*y*z0^3 - 2*x^8*z0^4 - 2*x^7*y*z0^3 - x^7*z0^4 - 2*x^10 - 2*x^8*z0^2 + 2*x^6*y*z0^3 + 2*x^6*z0^4 - 2*x^9 + x^7*y*z0 + 2*x^7*z0^2 - 2*x^5*z0^4 + x^8 - 2*x^6*y*z0 - x^6*z0^2 - x^4*y*z0^3 - 2*x^4*z0^4 + 2*x^7 - x^5*y*z0 + 2*x^3*y*z0^3 - 2*x^3*z0^4 + x^6 - 2*x^4*y*z0 + 2*x^4*z0^2 + x^2*y*z0^3 + 2*x^2*z0^4 - x^3*y*z0 + x^3*z0^2 - x^2*z0^2 - x^3 + x^2)/y) * dx,
+ ((2*x^61*z0^3 - 2*x^58*y^2*z0^3 + 2*x^61*z0 + x^59*z0^3 - x^60*z0 - 2*x^58*y^2*z0 - x^58*z0^3 - x^56*y^2*z0^3 + 2*x^59*z0 + x^57*y^2*z0 - x^55*y^2*z0^3 - 2*x^58*z0 - 2*x^56*y^2*z0 - x^56*z0^3 + x^57*z0 + x^55*z0^3 - 2*x^56*z0 + 2*x^55*z0 + x^53*z0^3 - x^54*z0 - x^52*z0^3 + 2*x^53*z0 - 2*x^52*z0 - x^50*z0^3 + x^51*z0 + x^49*z0^3 - 2*x^50*z0 + 2*x^49*z0 + x^47*z0^3 - x^48*z0 - x^46*z0^3 + 2*x^47*z0 - 2*x^46*z0 - x^44*z0^3 + x^45*z0 + x^43*z0^3 - 2*x^44*z0 + 2*x^43*z0 - 2*x^41*z0^3 + 2*x^39*y*z0^4 - x^42*z0 + x^40*y*z0^2 - x^40*z0^3 - x^41*z0 + 2*x^39*y*z0^2 + 2*x^39*z0^3 + x^37*y*z0^4 + x^40*y + 2*x^40*z0 - x^38*y*z0^2 - x^38*z0^3 - 2*x^36*y*z0^4 + 2*x^39*y - 2*x^39*z0 - x^37*y*z0^2 + 2*x^38*y - x^38*z0 + x^36*z0^3 - x^34*y*z0^4 + 2*x^37*y - 2*x^37*z0 - 2*x^35*y*z0^2 + x^35*z0^3 + x^33*y*z0^4 + x^36*y - 2*x^36*z0 + 2*x^34*y*z0^2 + x^34*z0^3 - 2*x^32*y*z0^4 + 2*x^35*y - x^35*z0 - x^33*z0^3 - x^31*y*z0^4 + x^34*z0 - x^32*z0^3 - 2*x^30*y*z0^4 - x^33*y + 2*x^33*z0 - x^31*z0^3 - x^29*y*z0^4 + x^32*y - x^32*z0 + x^30*z0^3 + 2*x^31*y - x^31*z0 - x^29*y*z0^2 + 2*x^27*y*z0^4 - 2*x^30*y - 2*x^30*z0 - x^28*y*z0^2 + x^28*z0^3 + 2*x^26*y*z0^4 - 2*x^29*z0 - x^28*y + x^28*z0 - x^26*y*z0^2 + x^26*z0^3 + 2*x^24*y*z0^4 - 2*x^27*y - x^27*z0 - x^25*y*z0^2 - 2*x^25*z0^3 - x^23*y*z0^4 - x^26*y + x^26*z0 + 2*x^24*y*z0^2 + x^25*y - 2*x^23*y*z0^2 - 2*x^23*z0^3 - x^24*y + x^24*z0 + 2*x^22*y*z0^2 + x^22*z0^3 + 2*x^20*y*z0^4 + x^23*z0 - x^21*y*z0^2 + x^21*z0^3 + 2*x^19*y*z0^4 - 2*x^22*y + x^22*z0 - x^20*z0^3 - x^18*y*z0^4 - 2*x^21*y + 2*x^21*z0 - x^19*y*z0^2 - x^19*z0^3 - x^17*y*z0^4 - x^20*y - 2*x^20*z0 - x^18*z0^3 + 2*x^16*y*z0^4 + x^19*y - x^17*y*z0^2 - x^17*z0^3 - x^15*y*z0^4 - x^18*y - 2*x^18*z0 + 2*x^16*z0^3 - x^14*y*z0^4 - 2*x^15*y*z0^2 + 2*x^15*z0^3 + 2*x^16*y + x^14*z0^3 + 2*x^12*y*z0^4 - x^15*y - x^13*y*z0^2 - x^13*z0^3 - 2*x^11*y*z0^4 + 2*x^14*z0 - x^12*y*z0^2 + x^12*z0^3 + x^10*y^2*z0^3 + x^13*y + x^13*z0 - 2*x^11*y*z0^2 + 2*x^11*z0^3 + 2*x^9*y*z0^4 - x^10*y*z0^2 + x^8*y*z0^4 - x^11*y + x^11*z0 - 2*x^9*y*z0^2 - 2*x^7*y*z0^4 - 2*x^10*y - 2*x^10*z0 + x^8*z0^3 - x^6*y*z0^4 + x^9*z0 - x^7*y*z0^2 - 2*x^7*z0^3 + x^5*y*z0^4 - 2*x^8*y - x^8*z0 + 2*x^6*y*z0^2 - 2*x^6*z0^3 + x^4*y*z0^4 + x^7*y + 2*x^5*y*z0^2 + x^5*z0^3 + x^3*y*z0^4 - 2*x^6*z0 + 2*x^4*y*z0^2 - x^5*y + 2*x^3*z0^3 + 2*x^4*y - x^4*z0 + x^2*y*z0^2 - 2*x^2*z0^3 - x^3*y - 2*x^3*z0 + x^2*y + x^2*z0)/y) * dx,
+ ((x^60*z0^4 + 2*x^61*z0^2 - 2*x^59*z0^4 - x^57*y^2*z0^4 - x^60*z0^2 - 2*x^58*y^2*z0^2 + 2*x^56*y^2*z0^4 + x^57*y^2*z0^2 - x^57*z0^4 + 2*x^60 - 2*x^58*z0^2 + 2*x^56*z0^4 - 2*x^57*y^2 + x^57*z0^2 + x^54*z0^4 - 2*x^57 + 2*x^55*z0^2 - 2*x^53*z0^4 - x^54*z0^2 - x^51*z0^4 + 2*x^54 - 2*x^52*z0^2 + 2*x^50*z0^4 + x^51*z0^2 + x^48*z0^4 - 2*x^51 + 2*x^49*z0^2 - 2*x^47*z0^4 - x^48*z0^2 - x^45*z0^4 + 2*x^48 - 2*x^46*z0^2 + 2*x^44*z0^4 + x^45*z0^2 + x^42*z0^4 - 2*x^45 + 2*x^43*z0^2 - 2*x^41*z0^4 - x^42*z0^2 + x^40*z0^4 + 2*x^41*z0^2 + 2*x^39*y*z0^3 - x^39*z0^4 + 2*x^42 + x^40*y*z0 - x^40*z0^2 - x^38*y*z0^3 - 2*x^39*y*z0 - x^39*z0^2 + x^37*y*z0^3 + x^40 - x^38*z0^2 + x^36*y*z0^3 - 2*x^36*z0^4 + 2*x^39 - x^37*y*z0 + 2*x^37*z0^2 + 2*x^35*y*z0^3 + x^35*z0^4 + x^38 - 2*x^36*y*z0 + x^36*z0^2 - x^34*y*z0^3 - 2*x^34*z0^4 - x^37 + 2*x^35*y*z0 - x^35*z0^2 + x^33*y*z0^3 + 2*x^33*z0^4 - 2*x^36 + 2*x^34*y*z0 - x^34*z0^2 + 2*x^32*y*z0^3 + x^35 - 2*x^33*y*z0 - 2*x^33*z0^2 - x^31*y*z0^3 - x^31*z0^4 + 2*x^34 - x^32*z0^2 + x^30*y*z0^3 - 2*x^30*z0^4 - x^33 + x^31*y*z0 + x^31*z0^2 - x^29*z0^4 - x^30*y*z0 + 2*x^28*y*z0^3 - 2*x^28*z0^4 - 2*x^29*y*z0 - x^29*z0^2 - x^30 - 2*x^28*y*z0 + x^28*z0^2 - x^26*y*z0^3 + 2*x^26*z0^4 + x^27*y*z0 + 2*x^27*z0^2 - x^25*y*z0^3 + x^25*z0^4 + x^28 - 2*x^24*y*z0^3 + 2*x^24*z0^4 + x^23*y*z0^3 - x^23*z0^4 + 2*x^26 - x^24*y*z0 + x^24*z0^2 + 2*x^22*y*z0^3 - 2*x^25 + x^23*y*z0 - x^23*z0^2 + x^21*y*z0^3 - x^21*z0^4 - 2*x^24 - x^22*y*z0 + x^20*y*z0^3 - x^20*z0^4 + x^23 + x^21*y*z0 - x^21*z0^2 + x^19*y*z0^3 + x^19*z0^4 + 2*x^22 + x^20*y*z0 - 2*x^20*z0^2 - x^18*y*z0^3 - x^18*z0^4 - x^21 + x^19*y*z0 - 2*x^20 + x^18*y*z0 + x^18*z0^2 - 2*x^16*y*z0^3 + 2*x^16*z0^4 - x^19 - x^17*y*z0 + x^15*y*z0^3 + 2*x^15*z0^4 - x^18 - 2*x^16*y*z0 - 2*x^16*z0^2 + 2*x^14*z0^4 - 2*x^15*y*z0 + 2*x^15*z0^2 + 2*x^13*y*z0^3 + x^13*z0^4 + x^16 - x^14*z0^2 - x^12*y*z0^3 - 2*x^12*z0^4 + x^10*y^2*z0^4 - 2*x^13*y*z0 + 2*x^13*z0^2 + x^11*y*z0^3 + 2*x^11*z0^4 - x^14 - x^12*y*z0 + x^10*y*z0^3 - 2*x^10*z0^4 + 2*x^13 + 2*x^11*y*z0 - 2*x^11*z0^2 - x^12 - x^8*y*z0^3 + 2*x^8*z0^4 + 2*x^11 - x^9*z0^2 + x^7*y*z0^3 - 2*x^7*z0^4 + x^8*y*z0 + x^8*z0^2 - x^6*y*z0^3 + 2*x^6*z0^4 + 2*x^9 + x^7*y*z0 + 2*x^5*z0^4 + 2*x^8 - x^6*y*z0 - x^4*y*z0^3 + x^4*z0^4 + 2*x^5*y*z0 + x^3*y*z0^3 - x^3*z0^4 - 2*x^6 + 2*x^4*y*z0 + x^4*z0^2 - 2*x^2*z0^4 - 2*x^3*y*z0 - 2*x^3*z0^2 + 2*x^2*y*z0)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^14 + x^11*y^2 + x^11 - x^8 + x^5 - x^2)/y) * dx,
+ ((-x^14*z0 + x^11*y^2*z0 + x^11*z0 - x^8*z0 + x^5*z0 - x^2*z0)/y) * dx,
+ ((-x^14*z0^2 + x^11*y^2*z0^2 + x^11*z0^2 - x^8*z0^2 + x^5*z0^2 - x^2*z0^2)/y) * dx,
+ ((-x^14*z0^3 + x^11*y^2*z0^3 + x^11*z0^3 - x^8*z0^3 + x^5*z0^3 - x^2*z0^3)/y) * dx,
+ ((-x^14*z0^4 + x^11*y^2*z0^4 + x^11*z0^4 - x^8*z0^4 + x^5*z0^4 - x^2*z0^4)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^15 + x^12*y^2 + x^12 - x^9 + x^6 - x^3)/y) * dx,
+ ((-x^15*z0 + x^12*y^2*z0 + x^12*z0 - x^9*z0 + x^6*z0 - x^3*z0)/y) * dx,
+ ((-x^15*z0^2 + x^12*y^2*z0^2 + x^12*z0^2 - x^9*z0^2 + x^6*z0^2 - x^3*z0^2)/y) * dx,
+ ((-x^15*z0^3 + x^12*y^2*z0^3 + x^12*z0^3 - x^9*z0^3 + x^6*z0^3 - x^3*z0^3)/y) * dx,
+ ((-x^15*z0^4 + x^12*y^2*z0^4 + x^12*z0^4 - x^9*z0^4 + x^6*z0^4 - x^3*z0^4)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((x^61*z0^4 - x^58*y^2*z0^4 + 2*x^61*z0^2 - 2*x^59*z0^4 + 2*x^60*z0^2 - 2*x^58*y^2*z0^2 - x^58*z0^4 + 2*x^56*y^2*z0^4 - x^61 - 2*x^57*y^2*z0^2 + 2*x^60 + x^58*y^2 - 2*x^58*z0^2 + 2*x^56*z0^4 - 2*x^57*y^2 - 2*x^57*z0^2 + x^55*z0^4 + x^58 - 2*x^57 + 2*x^55*z0^2 - 2*x^53*z0^4 + 2*x^54*z0^2 - x^52*z0^4 - x^55 + 2*x^54 - 2*x^52*z0^2 + 2*x^50*z0^4 - 2*x^51*z0^2 + x^49*z0^4 + x^52 - 2*x^51 + 2*x^49*z0^2 - 2*x^47*z0^4 + 2*x^48*z0^2 - x^46*z0^4 - x^49 + 2*x^48 - 2*x^46*z0^2 + 2*x^44*z0^4 - 2*x^45*z0^2 + x^43*z0^4 + x^46 - 2*x^45 + 2*x^43*z0^2 + x^41*z0^4 + 2*x^42*z0^2 - 2*x^40*y*z0^3 - x^43 + 2*x^41*z0^2 + 2*x^39*y*z0^3 + 2*x^42 + x^40*y*z0 - 2*x^40*z0^2 - x^38*y*z0^3 + x^38*z0^4 - 2*x^41 + x^39*y*z0 + x^39*z0^2 - 2*x^37*y*z0^3 + 2*x^37*z0^4 + x^40 - 2*x^38*y*z0 - x^38*z0^2 + x^36*y*z0^3 + 2*x^36*z0^4 - 2*x^39 + 2*x^37*y*z0 + 2*x^37*z0^2 - x^35*y*z0^3 + x^35*z0^4 + 2*x^38 - x^36*y*z0 - x^36*z0^2 + 2*x^34*y*z0^3 + 2*x^34*z0^4 - x^37 - 2*x^35*y*z0 - x^33*y*z0^3 + 2*x^33*z0^4 + x^36 - x^34*y*z0 + 2*x^34*z0^2 + x^32*y*z0^3 + 2*x^35 - x^33*y*z0 - x^33*z0^2 + x^31*y*z0^3 - x^31*z0^4 + 2*x^34 - 2*x^32*z0^2 - x^30*y*z0^3 + x^30*z0^4 + 2*x^33 + x^31*y*z0 + x^31*z0^2 + x^29*y*z0^3 + x^29*z0^4 - 2*x^32 + 2*x^28*y*z0^3 - 2*x^28*z0^4 + 2*x^31 - x^29*y*z0 - 2*x^29*z0^2 + x^27*y*z0^3 + 2*x^27*z0^4 + x^30 - 2*x^28*z0^2 + 2*x^29 - 2*x^27*y*z0 + 2*x^27*z0^2 - 2*x^25*y*z0^3 - 2*x^25*z0^4 + 2*x^28 - x^26*y*z0 - x^26*z0^2 - x^24*y*z0^3 - 2*x^24*z0^4 + 2*x^27 + 2*x^25*z0^2 - x^23*y*z0^3 + x^23*z0^4 - 2*x^26 + 2*x^24*y*z0 + x^22*z0^4 + x^21*y*z0^3 - 2*x^21*z0^4 - x^24 + 2*x^22*y*z0 - 2*x^20*y*z0^3 - x^23 + 2*x^21*y*z0 - 2*x^21*z0^2 - x^19*y*z0^3 + x^19*z0^4 + 2*x^22 + x^20*y*z0 + 2*x^20*z0^2 + x^18*y*z0^3 - 2*x^18*z0^4 - 2*x^21 - 2*x^19*y*z0 - 2*x^19*z0^2 + x^17*y*z0^3 - 2*x^17*z0^4 - 2*x^20 + 2*x^18*y*z0 + x^18*z0^2 + 2*x^16*y*z0^3 + 2*x^16*z0^4 - 2*x^17*y*z0 + 2*x^17*z0^2 + x^15*y*z0^3 + 2*x^15*z0^4 + 2*x^18 + x^16*y*z0 + x^16*z0^2 + x^14*y*z0^3 - 2*x^14*z0^4 - 2*x^17 - 2*x^15*y*z0 + 2*x^15*z0^2 + x^13*z0^4 + 2*x^16 - 2*x^14*z0^2 - x^12*z0^4 + x^13*y^2 - x^13*z0^2 + x^11*z0^4 + 2*x^14 - 2*x^12*z0^2 + 2*x^10*z0^4 - x^13 - x^11*z0^2 - 2*x^9*y*z0^3 - x^9*z0^4 + x^10*y*z0 + x^8*y*z0^3 + x^8*z0^4 + x^11 + x^9*y*z0 + x^7*y*z0^3 + 2*x^7*z0^4 + 2*x^10 - 2*x^8*y*z0 + 2*x^8*z0^2 - 2*x^6*y*z0^3 - 2*x^6*z0^4 - x^9 - 2*x^7*y*z0 + 2*x^7*z0^2 - x^5*y*z0^3 + 2*x^8 + 2*x^6*z0^2 - 2*x^4*z0^4 - x^7 - 2*x^5*y*z0 - x^5*z0^2 - 2*x^3*y*z0^3 - 2*x^3*z0^4 + x^6 - x^4*y*z0 - x^4*z0^2 - 2*x^2*y*z0^3 - 2*x^2*z0^4 + x^5 - 2*x^3*y*z0 + x^3*z0^2 + x^2*y*z0 + x^2*z0^2)/y) * dx,
+ ((-2*x^61*z0^3 - x^60*z0^3 + 2*x^58*y^2*z0^3 - x^61*z0 - x^59*z0^3 + x^57*y^2*z0^3 + x^58*y^2*z0 - x^58*z0^3 + x^56*y^2*z0^3 - 2*x^59*z0 - x^57*z0^3 - 2*x^55*y^2*z0^3 + x^58*z0 + 2*x^56*y^2*z0 + x^56*z0^3 + 2*x^54*y^2*z0^3 + x^55*z0^3 + 2*x^56*z0 + x^54*z0^3 - x^55*z0 - x^53*z0^3 - x^52*z0^3 - 2*x^53*z0 - x^51*z0^3 + x^52*z0 + x^50*z0^3 + x^49*z0^3 + 2*x^50*z0 + x^48*z0^3 - x^49*z0 - x^47*z0^3 - x^46*z0^3 - 2*x^47*z0 - x^45*z0^3 + x^46*z0 + x^44*z0^3 + x^43*z0^3 + 2*x^44*z0 + x^42*z0^3 - x^43*z0 + 2*x^41*z0^3 - 2*x^39*y*z0^4 - x^40*y*z0^2 - x^38*y*z0^4 + 2*x^41*z0 - x^39*y*z0^2 + 2*x^39*z0^3 + 2*x^37*y*z0^4 + 2*x^40*y + 2*x^40*z0 - x^38*y*z0^2 + x^38*z0^3 + 2*x^36*y*z0^4 + 2*x^39*z0 + 2*x^37*y*z0^2 + x^37*z0^3 - 2*x^38*z0 - 2*x^36*y*z0^2 + 2*x^34*y*z0^4 - x^37*y + 2*x^37*z0 + x^35*y*z0^2 + x^35*z0^3 + 2*x^33*y*z0^4 - 2*x^36*y + 2*x^36*z0 + 2*x^34*y*z0^2 + 2*x^34*z0^3 + 2*x^35*y + 2*x^33*y*z0^2 - x^33*z0^3 + 2*x^34*y - x^32*y*z0^2 - 2*x^32*z0^3 - 2*x^33*y + 2*x^33*z0 + x^31*y*z0^2 + x^31*z0^3 - x^29*y*z0^4 - x^32*y - 2*x^30*y*z0^2 - 2*x^30*z0^3 + x^28*y*z0^4 - x^31*y + x^31*z0 - x^29*y*z0^2 + x^29*z0^3 + x^27*y*z0^4 - x^30*y - x^30*z0 - x^28*z0^3 + 2*x^26*y*z0^4 - x^29*y - x^29*z0 - 2*x^27*y*z0^2 + 2*x^27*z0^3 + 2*x^25*y*z0^4 + 2*x^28*y - 2*x^28*z0 - x^26*z0^3 + x^27*y + 2*x^27*z0 + 2*x^25*y*z0^2 - 2*x^25*z0^3 - 2*x^26*z0 + x^24*y*z0^2 + 2*x^22*y*z0^4 + x^25*y + 2*x^25*z0 - 2*x^23*y*z0^2 - 2*x^23*z0^3 - 2*x^21*y*z0^4 + x^24*y + x^24*z0 + x^22*y*z0^2 - 2*x^20*y*z0^4 - 2*x^23*y + x^21*y*z0^2 - x^21*z0^3 - x^19*y*z0^4 - x^22*y + 2*x^22*z0 + 2*x^18*y*z0^4 - 2*x^21*y + x^21*z0 - x^19*y*z0^2 + 2*x^19*z0^3 + 2*x^17*y*z0^4 + 2*x^20*y - x^20*z0 - x^18*y*z0^2 - x^18*z0^3 - 2*x^16*y*z0^4 + 2*x^19*z0 + 2*x^17*y*z0^2 - 2*x^17*z0^3 - x^15*y*z0^4 - 2*x^18*y - x^18*z0 + x^16*y*z0^2 + x^14*y*z0^4 - x^17*y + 2*x^17*z0 - x^15*z0^3 - 2*x^13*y*z0^4 - x^16*y + 2*x^16*z0 - 2*x^14*y*z0^2 - x^14*z0^3 + 2*x^12*y*z0^4 - 2*x^15*z0 + x^13*y^2*z0 + x^13*y*z0^2 - 2*x^14*y + 2*x^14*z0 - 2*x^12*y*z0^2 + x^10*y*z0^4 + x^13*y + x^13*z0 + x^11*y*z0^2 + x^9*y*z0^4 - x^12*z0 + x^10*y*z0^2 + 2*x^10*z0^3 + 2*x^8*y*z0^4 + x^11*y - 2*x^11*z0 + 2*x^9*y*z0^2 + x^7*y*z0^4 - 2*x^10*y + 2*x^10*z0 - 2*x^8*y*z0^2 + 2*x^8*z0^3 + 2*x^6*y*z0^4 + x^9*y - 2*x^9*z0 - x^7*y*z0^2 + 2*x^7*z0^3 - x^5*y*z0^4 + x^8*y + x^8*z0 + x^6*y*z0^2 - 2*x^4*y*z0^4 + 2*x^7*y - x^7*z0 - x^5*y*z0^2 + 2*x^5*z0^3 + 2*x^3*y*z0^4 - 2*x^6*y + x^4*y*z0^2 - 2*x^4*z0^3 + 2*x^2*y*z0^4 + x^5*y + 2*x^5*z0 - 2*x^3*y*z0^2 - x^3*z0^3 + x^4*y + 2*x^4*z0 - 2*x^2*y*z0^2 + x^2*z0^3 + 2*x^3*y - x^3*z0 + x^2*y - x^2*z0)/y) * dx,
+ ((2*x^61*z0^4 - 2*x^60*z0^4 - 2*x^58*y^2*z0^4 - 2*x^61*z0^2 - x^59*z0^4 + 2*x^57*y^2*z0^4 + x^60*z0^2 + 2*x^58*y^2*z0^2 - 2*x^58*z0^4 + x^56*y^2*z0^4 - x^57*y^2*z0^2 + 2*x^57*z0^4 - x^60 + 2*x^58*z0^2 + x^56*z0^4 + x^57*y^2 - x^57*z0^2 + 2*x^55*z0^4 - 2*x^54*z0^4 + x^57 - 2*x^55*z0^2 - x^53*z0^4 + x^54*z0^2 - 2*x^52*z0^4 + 2*x^51*z0^4 - x^54 + 2*x^52*z0^2 + x^50*z0^4 - x^51*z0^2 + 2*x^49*z0^4 - 2*x^48*z0^4 + x^51 - 2*x^49*z0^2 - x^47*z0^4 + x^48*z0^2 - 2*x^46*z0^4 + 2*x^45*z0^4 - x^48 + 2*x^46*z0^2 + x^44*z0^4 - x^45*z0^2 + 2*x^43*z0^4 - 2*x^42*z0^4 + x^45 - 2*x^43*z0^2 + x^41*z0^4 + x^42*z0^2 + x^40*y*z0^3 + x^40*z0^4 - 2*x^41*z0^2 - 2*x^39*y*z0^3 + x^39*z0^4 - x^42 - x^40*y*z0 - 2*x^40*z0^2 - x^38*z0^4 + 2*x^41 - 2*x^39*y*z0 + x^39*z0^2 - x^37*y*z0^3 - 2*x^37*z0^4 - x^40 + 2*x^38*y*z0 + x^38*z0^2 - x^36*y*z0^3 + 2*x^36*z0^4 - 2*x^39 + x^37*y*z0 - 2*x^35*y*z0^3 - 2*x^35*z0^4 + 2*x^38 + x^36*y*z0 - x^36*z0^2 + x^34*y*z0^3 - x^37 - x^35*y*z0 - 2*x^35*z0^2 + 2*x^33*y*z0^3 - x^34*y*z0 + x^32*y*z0^3 + 2*x^35 - 2*x^33*z0^2 - 2*x^31*y*z0^3 - 2*x^31*z0^4 + 2*x^34 + 2*x^32*z0^2 + 2*x^30*y*z0^3 - x^30*z0^4 - x^33 + 2*x^31*y*z0 - 2*x^31*z0^2 + x^29*y*z0^3 + x^29*z0^4 - 2*x^32 - 2*x^30*y*z0 + 2*x^28*y*z0^3 + 2*x^28*z0^4 - x^29*y*z0 - x^29*z0^2 + 2*x^27*y*z0^3 - 2*x^27*z0^4 - 2*x^30 - x^28*y*z0 + 2*x^26*y*z0^3 + 2*x^26*z0^4 + 2*x^27*y*z0 + x^27*z0^2 + x^25*y*z0^3 + 2*x^28 - 2*x^26*y*z0 + x^26*z0^2 + 2*x^24*y*z0^3 + x^24*z0^4 + 2*x^27 + x^25*y*z0 - 2*x^25*z0^2 - x^23*y*z0^3 + x^23*z0^4 + 2*x^26 - 2*x^24*y*z0 + 2*x^24*z0^2 + 2*x^22*y*z0^3 - x^22*z0^4 + 2*x^25 + x^23*y*z0 - 2*x^23*z0^2 - x^21*y*z0^3 - 2*x^22*y*z0 - x^22*z0^2 - x^20*y*z0^3 + 2*x^20*z0^4 + 2*x^21*y*z0 - x^21*z0^2 - x^19*y*z0^3 - x^19*z0^4 - x^20*y*z0 + x^20*z0^2 + x^18*y*z0^3 + 2*x^18*z0^4 - 2*x^21 - 2*x^19*y*z0 - x^17*y*z0^3 + 2*x^17*z0^4 - 2*x^18*z0^2 - 2*x^16*y*z0^3 - 2*x^19 + 2*x^17*y*z0 + 2*x^17*z0^2 - x^15*y*z0^3 - 2*x^18 + x^16*z0^2 - x^14*y*z0^3 + 2*x^14*z0^4 + x^17 - x^15*y*z0 + x^13*y^2*z0^2 - x^13*y*z0^3 - x^13*z0^4 + x^16 - 2*x^14*y*z0 + x^12*y*z0^3 + x^15 - 2*x^13*y*z0 - x^13*z0^2 + x^11*y*z0^3 + x^11*z0^4 - x^10*y*z0^3 - x^10*z0^4 - x^11*y*z0 + 2*x^9*y*z0^3 - 2*x^9*z0^4 + 2*x^12 - x^10*y*z0 + 2*x^8*y*z0^3 + 2*x^8*z0^4 + 2*x^7*y*z0^3 + x^7*z0^4 + 2*x^10 + 2*x^8*z0^2 - 2*x^6*y*z0^3 - 2*x^6*z0^4 + 2*x^9 - x^7*y*z0 - 2*x^7*z0^2 + 2*x^5*z0^4 - x^8 + 2*x^6*y*z0 + x^6*z0^2 + x^4*y*z0^3 + 2*x^4*z0^4 - 2*x^7 + x^5*y*z0 - 2*x^3*y*z0^3 + 2*x^3*z0^4 - x^6 + 2*x^4*y*z0 - 2*x^4*z0^2 - x^2*y*z0^3 - 2*x^2*z0^4 + x^3*y*z0 - x^3*z0^2 + x^2*z0^2 + x^3 - x^2)/y) * dx,
+ ((-2*x^61*z0^3 + 2*x^58*y^2*z0^3 - 2*x^61*z0 - x^59*z0^3 + x^60*z0 + 2*x^58*y^2*z0 + x^58*z0^3 + x^56*y^2*z0^3 - 2*x^59*z0 - x^57*y^2*z0 + x^55*y^2*z0^3 + 2*x^58*z0 + 2*x^56*y^2*z0 + x^56*z0^3 - x^57*z0 - x^55*z0^3 + 2*x^56*z0 - 2*x^55*z0 - x^53*z0^3 + x^54*z0 + x^52*z0^3 - 2*x^53*z0 + 2*x^52*z0 + x^50*z0^3 - x^51*z0 - x^49*z0^3 + 2*x^50*z0 - 2*x^49*z0 - x^47*z0^3 + x^48*z0 + x^46*z0^3 - 2*x^47*z0 + 2*x^46*z0 + x^44*z0^3 - x^45*z0 - x^43*z0^3 + 2*x^44*z0 - 2*x^43*z0 + 2*x^41*z0^3 - 2*x^39*y*z0^4 + x^42*z0 - x^40*y*z0^2 + x^40*z0^3 + x^41*z0 - 2*x^39*y*z0^2 - 2*x^39*z0^3 - x^37*y*z0^4 - x^40*y - 2*x^40*z0 + x^38*y*z0^2 + x^38*z0^3 + 2*x^36*y*z0^4 - 2*x^39*y + 2*x^39*z0 + x^37*y*z0^2 - 2*x^38*y + x^38*z0 - x^36*z0^3 + x^34*y*z0^4 - 2*x^37*y + 2*x^37*z0 + 2*x^35*y*z0^2 - x^35*z0^3 - x^33*y*z0^4 - x^36*y + 2*x^36*z0 - 2*x^34*y*z0^2 - x^34*z0^3 + 2*x^32*y*z0^4 - 2*x^35*y + x^35*z0 + x^33*z0^3 + x^31*y*z0^4 - x^34*z0 + x^32*z0^3 + 2*x^30*y*z0^4 + x^33*y - 2*x^33*z0 + x^31*z0^3 + x^29*y*z0^4 - x^32*y + x^32*z0 - x^30*z0^3 - 2*x^31*y + x^31*z0 + x^29*y*z0^2 - 2*x^27*y*z0^4 + 2*x^30*y + 2*x^30*z0 + x^28*y*z0^2 - x^28*z0^3 - 2*x^26*y*z0^4 + 2*x^29*z0 + x^28*y - x^28*z0 + x^26*y*z0^2 - x^26*z0^3 - 2*x^24*y*z0^4 + 2*x^27*y + x^27*z0 + x^25*y*z0^2 + 2*x^25*z0^3 + x^23*y*z0^4 + x^26*y - x^26*z0 - 2*x^24*y*z0^2 - x^25*y + 2*x^23*y*z0^2 + 2*x^23*z0^3 + x^24*y - x^24*z0 - 2*x^22*y*z0^2 - x^22*z0^3 - 2*x^20*y*z0^4 - x^23*z0 + x^21*y*z0^2 - x^21*z0^3 - 2*x^19*y*z0^4 + 2*x^22*y - x^22*z0 + x^20*z0^3 + x^18*y*z0^4 + 2*x^21*y - 2*x^21*z0 + x^19*y*z0^2 + x^19*z0^3 + x^17*y*z0^4 + x^20*y + 2*x^20*z0 + x^18*z0^3 - 2*x^16*y*z0^4 - x^19*y + x^17*y*z0^2 + x^17*z0^3 + x^15*y*z0^4 + x^18*y + 2*x^18*z0 + 2*x^16*z0^3 + x^14*y*z0^4 + 2*x^15*y*z0^2 - 2*x^15*z0^3 + x^13*y^2*z0^3 - 2*x^16*y - x^14*z0^3 - 2*x^12*y*z0^4 + x^15*y + x^13*y*z0^2 + x^13*z0^3 + 2*x^11*y*z0^4 - 2*x^14*z0 + x^12*y*z0^2 - x^12*z0^3 - x^13*y - x^13*z0 + 2*x^11*y*z0^2 - 2*x^11*z0^3 - 2*x^9*y*z0^4 + x^10*y*z0^2 - x^8*y*z0^4 + x^11*y - x^11*z0 + 2*x^9*y*z0^2 + 2*x^7*y*z0^4 + 2*x^10*y + 2*x^10*z0 - x^8*z0^3 + x^6*y*z0^4 - x^9*z0 + x^7*y*z0^2 + 2*x^7*z0^3 - x^5*y*z0^4 + 2*x^8*y + x^8*z0 - 2*x^6*y*z0^2 + 2*x^6*z0^3 - x^4*y*z0^4 - x^7*y - 2*x^5*y*z0^2 - x^5*z0^3 - x^3*y*z0^4 + 2*x^6*z0 - 2*x^4*y*z0^2 + x^5*y - 2*x^3*z0^3 - 2*x^4*y + x^4*z0 - x^2*y*z0^2 + 2*x^2*z0^3 + x^3*y + 2*x^3*z0 - x^2*y - x^2*z0)/y) * dx,
+ ((-x^60*z0^4 - 2*x^61*z0^2 + 2*x^59*z0^4 + x^57*y^2*z0^4 + x^60*z0^2 + 2*x^58*y^2*z0^2 - 2*x^56*y^2*z0^4 - x^57*y^2*z0^2 + x^57*z0^4 - 2*x^60 + 2*x^58*z0^2 - 2*x^56*z0^4 + 2*x^57*y^2 - x^57*z0^2 - x^54*z0^4 + 2*x^57 - 2*x^55*z0^2 + 2*x^53*z0^4 + x^54*z0^2 + x^51*z0^4 - 2*x^54 + 2*x^52*z0^2 - 2*x^50*z0^4 - x^51*z0^2 - x^48*z0^4 + 2*x^51 - 2*x^49*z0^2 + 2*x^47*z0^4 + x^48*z0^2 + x^45*z0^4 - 2*x^48 + 2*x^46*z0^2 - 2*x^44*z0^4 - x^45*z0^2 - x^42*z0^4 + 2*x^45 - 2*x^43*z0^2 + 2*x^41*z0^4 + x^42*z0^2 - x^40*z0^4 - 2*x^41*z0^2 - 2*x^39*y*z0^3 + x^39*z0^4 - 2*x^42 - x^40*y*z0 + x^40*z0^2 + x^38*y*z0^3 + 2*x^39*y*z0 + x^39*z0^2 - x^37*y*z0^3 - x^40 + x^38*z0^2 - x^36*y*z0^3 + 2*x^36*z0^4 - 2*x^39 + x^37*y*z0 - 2*x^37*z0^2 - 2*x^35*y*z0^3 - x^35*z0^4 - x^38 + 2*x^36*y*z0 - x^36*z0^2 + x^34*y*z0^3 + 2*x^34*z0^4 + x^37 - 2*x^35*y*z0 + x^35*z0^2 - x^33*y*z0^3 - 2*x^33*z0^4 + 2*x^36 - 2*x^34*y*z0 + x^34*z0^2 - 2*x^32*y*z0^3 - x^35 + 2*x^33*y*z0 + 2*x^33*z0^2 + x^31*y*z0^3 + x^31*z0^4 - 2*x^34 + x^32*z0^2 - x^30*y*z0^3 + 2*x^30*z0^4 + x^33 - x^31*y*z0 - x^31*z0^2 + x^29*z0^4 + x^30*y*z0 - 2*x^28*y*z0^3 + 2*x^28*z0^4 + 2*x^29*y*z0 + x^29*z0^2 + x^30 + 2*x^28*y*z0 - x^28*z0^2 + x^26*y*z0^3 - 2*x^26*z0^4 - x^27*y*z0 - 2*x^27*z0^2 + x^25*y*z0^3 - x^25*z0^4 - x^28 + 2*x^24*y*z0^3 - 2*x^24*z0^4 - x^23*y*z0^3 + x^23*z0^4 - 2*x^26 + x^24*y*z0 - x^24*z0^2 - 2*x^22*y*z0^3 + 2*x^25 - x^23*y*z0 + x^23*z0^2 - x^21*y*z0^3 + x^21*z0^4 + 2*x^24 + x^22*y*z0 - x^20*y*z0^3 + x^20*z0^4 - x^23 - x^21*y*z0 + x^21*z0^2 - x^19*y*z0^3 - x^19*z0^4 - 2*x^22 - x^20*y*z0 + 2*x^20*z0^2 + x^18*y*z0^3 + x^18*z0^4 + x^21 - x^19*y*z0 + 2*x^20 - x^18*y*z0 - x^18*z0^2 + 2*x^16*y*z0^3 + 2*x^16*z0^4 + x^19 + x^17*y*z0 - x^15*y*z0^3 - 2*x^15*z0^4 + x^13*y^2*z0^4 + x^18 + 2*x^16*y*z0 + 2*x^16*z0^2 - 2*x^14*z0^4 + 2*x^15*y*z0 - 2*x^15*z0^2 - 2*x^13*y*z0^3 - x^13*z0^4 - x^16 + x^14*z0^2 + x^12*y*z0^3 + 2*x^12*z0^4 + 2*x^13*y*z0 - 2*x^13*z0^2 - x^11*y*z0^3 - 2*x^11*z0^4 + x^14 + x^12*y*z0 - x^10*y*z0^3 + 2*x^10*z0^4 - 2*x^13 - 2*x^11*y*z0 + 2*x^11*z0^2 + x^12 + x^8*y*z0^3 - 2*x^8*z0^4 - 2*x^11 + x^9*z0^2 - x^7*y*z0^3 + 2*x^7*z0^4 - x^8*y*z0 - x^8*z0^2 + x^6*y*z0^3 - 2*x^6*z0^4 - 2*x^9 - x^7*y*z0 - 2*x^5*z0^4 - 2*x^8 + x^6*y*z0 + x^4*y*z0^3 - x^4*z0^4 - 2*x^5*y*z0 - x^3*y*z0^3 + x^3*z0^4 + 2*x^6 - 2*x^4*y*z0 - x^4*z0^2 + 2*x^2*z0^4 + 2*x^3*y*z0 + 2*x^3*z0^2 - 2*x^2*y*z0)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^17 + x^14*y^2 + x^14 - x^11 + x^8 - x^5 + x^2)/y) * dx,
+ ((-x^17*z0 + x^14*y^2*z0 + x^14*z0 - x^11*z0 + x^8*z0 - x^5*z0 + x^2*z0)/y) * dx,
+ ((-x^17*z0^2 + x^14*y^2*z0^2 + x^14*z0^2 - x^11*z0^2 + x^8*z0^2 - x^5*z0^2 + x^2*z0^2)/y) * dx,
+ ((-x^17*z0^3 + x^14*y^2*z0^3 + x^14*z0^3 - x^11*z0^3 + x^8*z0^3 - x^5*z0^3 + x^2*z0^3)/y) * dx,
+ ((-x^17*z0^4 + x^14*y^2*z0^4 + x^14*z0^4 - x^11*z0^4 + x^8*z0^4 - x^5*z0^4 + x^2*z0^4)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^18 + x^15*y^2 + x^15 - x^12 + x^9 - x^6 + x^3)/y) * dx,
+ ((-x^18*z0 + x^15*y^2*z0 + x^15*z0 - x^12*z0 + x^9*z0 - x^6*z0 + x^3*z0)/y) * dx,
+ ((-x^18*z0^2 + x^15*y^2*z0^2 + x^15*z0^2 - x^12*z0^2 + x^9*z0^2 - x^6*z0^2 + x^3*z0^2)/y) * dx,
+ ((-x^18*z0^3 + x^15*y^2*z0^3 + x^15*z0^3 - x^12*z0^3 + x^9*z0^3 - x^6*z0^3 + x^3*z0^3)/y) * dx,
+ ((-x^18*z0^4 + x^15*y^2*z0^4 + x^15*z0^4 - x^12*z0^4 + x^9*z0^4 - x^6*z0^4 + x^3*z0^4)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^61*z0^4 + x^58*y^2*z0^4 - 2*x^61*z0^2 + 2*x^59*z0^4 - 2*x^60*z0^2 + 2*x^58*y^2*z0^2 + x^58*z0^4 - 2*x^56*y^2*z0^4 + x^61 + 2*x^57*y^2*z0^2 - 2*x^60 - x^58*y^2 + 2*x^58*z0^2 - 2*x^56*z0^4 + 2*x^57*y^2 + 2*x^57*z0^2 - x^55*z0^4 - x^58 + 2*x^57 - 2*x^55*z0^2 + 2*x^53*z0^4 - 2*x^54*z0^2 + x^52*z0^4 + x^55 - 2*x^54 + 2*x^52*z0^2 - 2*x^50*z0^4 + 2*x^51*z0^2 - x^49*z0^4 - x^52 + 2*x^51 - 2*x^49*z0^2 + 2*x^47*z0^4 - 2*x^48*z0^2 + x^46*z0^4 + x^49 - 2*x^48 + 2*x^46*z0^2 - 2*x^44*z0^4 + 2*x^45*z0^2 - x^43*z0^4 - x^46 + 2*x^45 - 2*x^43*z0^2 - x^41*z0^4 - 2*x^42*z0^2 + 2*x^40*y*z0^3 + x^43 - 2*x^41*z0^2 - 2*x^39*y*z0^3 - 2*x^42 - x^40*y*z0 + 2*x^40*z0^2 + x^38*y*z0^3 - x^38*z0^4 + 2*x^41 - x^39*y*z0 - x^39*z0^2 + 2*x^37*y*z0^3 - 2*x^37*z0^4 - x^40 + 2*x^38*y*z0 + x^38*z0^2 - x^36*y*z0^3 - 2*x^36*z0^4 + 2*x^39 - 2*x^37*y*z0 - 2*x^37*z0^2 + x^35*y*z0^3 - x^35*z0^4 - 2*x^38 + x^36*y*z0 + x^36*z0^2 - 2*x^34*y*z0^3 - 2*x^34*z0^4 + x^37 + 2*x^35*y*z0 + x^33*y*z0^3 - 2*x^33*z0^4 - x^36 + x^34*y*z0 - 2*x^34*z0^2 - x^32*y*z0^3 - 2*x^35 + x^33*y*z0 + x^33*z0^2 - x^31*y*z0^3 + x^31*z0^4 - 2*x^34 + 2*x^32*z0^2 + x^30*y*z0^3 - x^30*z0^4 - 2*x^33 - x^31*y*z0 - x^31*z0^2 - x^29*y*z0^3 - x^29*z0^4 + 2*x^32 - 2*x^28*y*z0^3 + 2*x^28*z0^4 - 2*x^31 + x^29*y*z0 + 2*x^29*z0^2 - x^27*y*z0^3 - 2*x^27*z0^4 - x^30 + 2*x^28*z0^2 - 2*x^29 + 2*x^27*y*z0 - 2*x^27*z0^2 + 2*x^25*y*z0^3 + 2*x^25*z0^4 - 2*x^28 + x^26*y*z0 + x^26*z0^2 + x^24*y*z0^3 + 2*x^24*z0^4 - 2*x^27 - 2*x^25*z0^2 + x^23*y*z0^3 - x^23*z0^4 + 2*x^26 - 2*x^24*y*z0 - x^22*z0^4 - x^21*y*z0^3 + 2*x^21*z0^4 + x^24 - 2*x^22*y*z0 + 2*x^20*y*z0^3 + x^23 - 2*x^21*y*z0 + 2*x^21*z0^2 + x^19*y*z0^3 - x^19*z0^4 - 2*x^22 - x^20*y*z0 - 2*x^20*z0^2 - x^18*y*z0^3 + 2*x^18*z0^4 + 2*x^21 + 2*x^19*y*z0 + 2*x^19*z0^2 - x^17*y*z0^3 + 2*x^17*z0^4 + 2*x^20 - 2*x^18*y*z0 - x^18*z0^2 - 2*x^16*y*z0^3 - 2*x^16*z0^4 - x^19 + 2*x^17*y*z0 - 2*x^17*z0^2 - x^15*y*z0^3 - 2*x^15*z0^4 - 2*x^18 + x^16*y^2 - x^16*y*z0 - x^16*z0^2 - x^14*y*z0^3 + 2*x^14*z0^4 + 2*x^17 + 2*x^15*y*z0 - 2*x^15*z0^2 - x^13*z0^4 - 2*x^16 + 2*x^14*z0^2 + x^12*z0^4 + x^13*z0^2 - x^11*z0^4 - 2*x^14 + 2*x^12*z0^2 - 2*x^10*z0^4 + x^13 + x^11*z0^2 + 2*x^9*y*z0^3 + x^9*z0^4 - x^10*y*z0 - x^8*y*z0^3 - x^8*z0^4 - x^11 - x^9*y*z0 - x^7*y*z0^3 - 2*x^7*z0^4 - 2*x^10 + 2*x^8*y*z0 - 2*x^8*z0^2 + 2*x^6*y*z0^3 + 2*x^6*z0^4 + x^9 + 2*x^7*y*z0 - 2*x^7*z0^2 + x^5*y*z0^3 - 2*x^8 - 2*x^6*z0^2 + 2*x^4*z0^4 + x^7 + 2*x^5*y*z0 + x^5*z0^2 + 2*x^3*y*z0^3 + 2*x^3*z0^4 - x^6 + x^4*y*z0 + x^4*z0^2 + 2*x^2*y*z0^3 + 2*x^2*z0^4 - x^5 + 2*x^3*y*z0 - x^3*z0^2 - x^2*y*z0 - x^2*z0^2)/y) * dx,
+ ((2*x^61*z0^3 + x^60*z0^3 - 2*x^58*y^2*z0^3 + x^61*z0 + x^59*z0^3 - x^57*y^2*z0^3 - x^58*y^2*z0 + x^58*z0^3 - x^56*y^2*z0^3 + 2*x^59*z0 + x^57*z0^3 + 2*x^55*y^2*z0^3 - x^58*z0 - 2*x^56*y^2*z0 - x^56*z0^3 - 2*x^54*y^2*z0^3 - x^55*z0^3 - 2*x^56*z0 - x^54*z0^3 + x^55*z0 + x^53*z0^3 + x^52*z0^3 + 2*x^53*z0 + x^51*z0^3 - x^52*z0 - x^50*z0^3 - x^49*z0^3 - 2*x^50*z0 - x^48*z0^3 + x^49*z0 + x^47*z0^3 + x^46*z0^3 + 2*x^47*z0 + x^45*z0^3 - x^46*z0 - x^44*z0^3 - x^43*z0^3 - 2*x^44*z0 - x^42*z0^3 + x^43*z0 - 2*x^41*z0^3 + 2*x^39*y*z0^4 + x^40*y*z0^2 + x^38*y*z0^4 - 2*x^41*z0 + x^39*y*z0^2 - 2*x^39*z0^3 - 2*x^37*y*z0^4 - 2*x^40*y - 2*x^40*z0 + x^38*y*z0^2 - x^38*z0^3 - 2*x^36*y*z0^4 - 2*x^39*z0 - 2*x^37*y*z0^2 - x^37*z0^3 + 2*x^38*z0 + 2*x^36*y*z0^2 - 2*x^34*y*z0^4 + x^37*y - 2*x^37*z0 - x^35*y*z0^2 - x^35*z0^3 - 2*x^33*y*z0^4 + 2*x^36*y - 2*x^36*z0 - 2*x^34*y*z0^2 - 2*x^34*z0^3 - 2*x^35*y - 2*x^33*y*z0^2 + x^33*z0^3 - 2*x^34*y + x^32*y*z0^2 + 2*x^32*z0^3 + 2*x^33*y - 2*x^33*z0 - x^31*y*z0^2 - x^31*z0^3 + x^29*y*z0^4 + x^32*y + 2*x^30*y*z0^2 + 2*x^30*z0^3 - x^28*y*z0^4 + x^31*y - x^31*z0 + x^29*y*z0^2 - x^29*z0^3 - x^27*y*z0^4 + x^30*y + x^30*z0 + x^28*z0^3 - 2*x^26*y*z0^4 + x^29*y + x^29*z0 + 2*x^27*y*z0^2 - 2*x^27*z0^3 - 2*x^25*y*z0^4 - 2*x^28*y + 2*x^28*z0 + x^26*z0^3 - x^27*y - 2*x^27*z0 - 2*x^25*y*z0^2 + 2*x^25*z0^3 + 2*x^26*z0 - x^24*y*z0^2 - 2*x^22*y*z0^4 - x^25*y - 2*x^25*z0 + 2*x^23*y*z0^2 + 2*x^23*z0^3 + 2*x^21*y*z0^4 - x^24*y - x^24*z0 - x^22*y*z0^2 + 2*x^20*y*z0^4 + 2*x^23*y - x^21*y*z0^2 + x^21*z0^3 + x^19*y*z0^4 + x^22*y - 2*x^22*z0 - 2*x^18*y*z0^4 + 2*x^21*y - x^21*z0 + x^19*y*z0^2 - 2*x^19*z0^3 - 2*x^17*y*z0^4 - 2*x^20*y + x^20*z0 + x^18*y*z0^2 + x^18*z0^3 + 2*x^16*y*z0^4 + 2*x^19*z0 - 2*x^17*y*z0^2 + 2*x^17*z0^3 + x^15*y*z0^4 + 2*x^18*y + x^18*z0 + x^16*y^2*z0 - x^16*y*z0^2 - x^14*y*z0^4 + x^17*y - 2*x^17*z0 + x^15*z0^3 + 2*x^13*y*z0^4 + x^16*y - 2*x^16*z0 + 2*x^14*y*z0^2 + x^14*z0^3 - 2*x^12*y*z0^4 + 2*x^15*z0 - x^13*y*z0^2 + 2*x^14*y - 2*x^14*z0 + 2*x^12*y*z0^2 - x^10*y*z0^4 - x^13*y - x^13*z0 - x^11*y*z0^2 - x^9*y*z0^4 + x^12*z0 - x^10*y*z0^2 - 2*x^10*z0^3 - 2*x^8*y*z0^4 - x^11*y + 2*x^11*z0 - 2*x^9*y*z0^2 - x^7*y*z0^4 + 2*x^10*y - 2*x^10*z0 + 2*x^8*y*z0^2 - 2*x^8*z0^3 - 2*x^6*y*z0^4 - x^9*y + 2*x^9*z0 + x^7*y*z0^2 - 2*x^7*z0^3 + x^5*y*z0^4 - x^8*y - x^8*z0 - x^6*y*z0^2 + 2*x^4*y*z0^4 - 2*x^7*y + x^7*z0 + x^5*y*z0^2 - 2*x^5*z0^3 - 2*x^3*y*z0^4 + 2*x^6*y - x^4*y*z0^2 + 2*x^4*z0^3 - 2*x^2*y*z0^4 - x^5*y - 2*x^5*z0 + 2*x^3*y*z0^2 + x^3*z0^3 - x^4*y - 2*x^4*z0 + 2*x^2*y*z0^2 - x^2*z0^3 - 2*x^3*y + x^3*z0 - x^2*y + x^2*z0)/y) * dx,
+ ((-2*x^61*z0^4 + 2*x^60*z0^4 + 2*x^58*y^2*z0^4 + 2*x^61*z0^2 + x^59*z0^4 - 2*x^57*y^2*z0^4 - x^60*z0^2 - 2*x^58*y^2*z0^2 + 2*x^58*z0^4 - x^56*y^2*z0^4 + x^57*y^2*z0^2 - 2*x^57*z0^4 + x^60 - 2*x^58*z0^2 - x^56*z0^4 - x^57*y^2 + x^57*z0^2 - 2*x^55*z0^4 + 2*x^54*z0^4 - x^57 + 2*x^55*z0^2 + x^53*z0^4 - x^54*z0^2 + 2*x^52*z0^4 - 2*x^51*z0^4 + x^54 - 2*x^52*z0^2 - x^50*z0^4 + x^51*z0^2 - 2*x^49*z0^4 + 2*x^48*z0^4 - x^51 + 2*x^49*z0^2 + x^47*z0^4 - x^48*z0^2 + 2*x^46*z0^4 - 2*x^45*z0^4 + x^48 - 2*x^46*z0^2 - x^44*z0^4 + x^45*z0^2 - 2*x^43*z0^4 + 2*x^42*z0^4 - x^45 + 2*x^43*z0^2 - x^41*z0^4 - x^42*z0^2 - x^40*y*z0^3 - x^40*z0^4 + 2*x^41*z0^2 + 2*x^39*y*z0^3 - x^39*z0^4 + x^42 + x^40*y*z0 + 2*x^40*z0^2 + x^38*z0^4 - 2*x^41 + 2*x^39*y*z0 - x^39*z0^2 + x^37*y*z0^3 + 2*x^37*z0^4 + x^40 - 2*x^38*y*z0 - x^38*z0^2 + x^36*y*z0^3 - 2*x^36*z0^4 + 2*x^39 - x^37*y*z0 + 2*x^35*y*z0^3 + 2*x^35*z0^4 - 2*x^38 - x^36*y*z0 + x^36*z0^2 - x^34*y*z0^3 + x^37 + x^35*y*z0 + 2*x^35*z0^2 - 2*x^33*y*z0^3 + x^34*y*z0 - x^32*y*z0^3 - 2*x^35 + 2*x^33*z0^2 + 2*x^31*y*z0^3 + 2*x^31*z0^4 - 2*x^34 - 2*x^32*z0^2 - 2*x^30*y*z0^3 + x^30*z0^4 + x^33 - 2*x^31*y*z0 + 2*x^31*z0^2 - x^29*y*z0^3 - x^29*z0^4 + 2*x^32 + 2*x^30*y*z0 - 2*x^28*y*z0^3 - 2*x^28*z0^4 + x^29*y*z0 + x^29*z0^2 - 2*x^27*y*z0^3 + 2*x^27*z0^4 + 2*x^30 + x^28*y*z0 - 2*x^26*y*z0^3 - 2*x^26*z0^4 - 2*x^27*y*z0 - x^27*z0^2 - x^25*y*z0^3 - 2*x^28 + 2*x^26*y*z0 - x^26*z0^2 - 2*x^24*y*z0^3 - x^24*z0^4 - 2*x^27 - x^25*y*z0 + 2*x^25*z0^2 + x^23*y*z0^3 - x^23*z0^4 - 2*x^26 + 2*x^24*y*z0 - 2*x^24*z0^2 - 2*x^22*y*z0^3 + x^22*z0^4 - 2*x^25 - x^23*y*z0 + 2*x^23*z0^2 + x^21*y*z0^3 + 2*x^22*y*z0 + x^22*z0^2 + x^20*y*z0^3 - 2*x^20*z0^4 - 2*x^21*y*z0 + x^21*z0^2 + x^19*y*z0^3 + x^19*z0^4 + x^20*y*z0 - x^20*z0^2 - x^18*y*z0^3 - 2*x^18*z0^4 + 2*x^21 + 2*x^19*y*z0 - x^19*z0^2 + x^17*y*z0^3 - 2*x^17*z0^4 + 2*x^18*z0^2 + x^16*y^2*z0^2 + 2*x^16*y*z0^3 + 2*x^19 - 2*x^17*y*z0 - 2*x^17*z0^2 + x^15*y*z0^3 + 2*x^18 - x^16*z0^2 + x^14*y*z0^3 - 2*x^14*z0^4 - x^17 + x^15*y*z0 + x^13*y*z0^3 + x^13*z0^4 - x^16 + 2*x^14*y*z0 - x^12*y*z0^3 - x^15 + 2*x^13*y*z0 + x^13*z0^2 - x^11*y*z0^3 - x^11*z0^4 + x^10*y*z0^3 + x^10*z0^4 + x^11*y*z0 - 2*x^9*y*z0^3 + 2*x^9*z0^4 - 2*x^12 + x^10*y*z0 - 2*x^8*y*z0^3 - 2*x^8*z0^4 - 2*x^7*y*z0^3 - x^7*z0^4 - 2*x^10 - 2*x^8*z0^2 + 2*x^6*y*z0^3 + 2*x^6*z0^4 - 2*x^9 + x^7*y*z0 + 2*x^7*z0^2 - 2*x^5*z0^4 + x^8 - 2*x^6*y*z0 - x^6*z0^2 - x^4*y*z0^3 - 2*x^4*z0^4 + 2*x^7 - x^5*y*z0 + 2*x^3*y*z0^3 - 2*x^3*z0^4 + x^6 - 2*x^4*y*z0 + 2*x^4*z0^2 + x^2*y*z0^3 + 2*x^2*z0^4 - x^3*y*z0 + x^3*z0^2 - x^2*z0^2 - x^3 + x^2)/y) * dx,
+ ((2*x^61*z0^3 - 2*x^58*y^2*z0^3 + 2*x^61*z0 + x^59*z0^3 - x^60*z0 - 2*x^58*y^2*z0 - x^58*z0^3 - x^56*y^2*z0^3 + 2*x^59*z0 + x^57*y^2*z0 - x^55*y^2*z0^3 - 2*x^58*z0 - 2*x^56*y^2*z0 - x^56*z0^3 + x^57*z0 + x^55*z0^3 - 2*x^56*z0 + 2*x^55*z0 + x^53*z0^3 - x^54*z0 - x^52*z0^3 + 2*x^53*z0 - 2*x^52*z0 - x^50*z0^3 + x^51*z0 + x^49*z0^3 - 2*x^50*z0 + 2*x^49*z0 + x^47*z0^3 - x^48*z0 - x^46*z0^3 + 2*x^47*z0 - 2*x^46*z0 - x^44*z0^3 + x^45*z0 + x^43*z0^3 - 2*x^44*z0 + 2*x^43*z0 - 2*x^41*z0^3 + 2*x^39*y*z0^4 - x^42*z0 + x^40*y*z0^2 - x^40*z0^3 - x^41*z0 + 2*x^39*y*z0^2 + 2*x^39*z0^3 + x^37*y*z0^4 + x^40*y + 2*x^40*z0 - x^38*y*z0^2 - x^38*z0^3 - 2*x^36*y*z0^4 + 2*x^39*y - 2*x^39*z0 - x^37*y*z0^2 + 2*x^38*y - x^38*z0 + x^36*z0^3 - x^34*y*z0^4 + 2*x^37*y - 2*x^37*z0 - 2*x^35*y*z0^2 + x^35*z0^3 + x^33*y*z0^4 + x^36*y - 2*x^36*z0 + 2*x^34*y*z0^2 + x^34*z0^3 - 2*x^32*y*z0^4 + 2*x^35*y - x^35*z0 - x^33*z0^3 - x^31*y*z0^4 + x^34*z0 - x^32*z0^3 - 2*x^30*y*z0^4 - x^33*y + 2*x^33*z0 - x^31*z0^3 - x^29*y*z0^4 + x^32*y - x^32*z0 + x^30*z0^3 + 2*x^31*y - x^31*z0 - x^29*y*z0^2 + 2*x^27*y*z0^4 - 2*x^30*y - 2*x^30*z0 - x^28*y*z0^2 + x^28*z0^3 + 2*x^26*y*z0^4 - 2*x^29*z0 - x^28*y + x^28*z0 - x^26*y*z0^2 + x^26*z0^3 + 2*x^24*y*z0^4 - 2*x^27*y - x^27*z0 - x^25*y*z0^2 - 2*x^25*z0^3 - x^23*y*z0^4 - x^26*y + x^26*z0 + 2*x^24*y*z0^2 + x^25*y - 2*x^23*y*z0^2 - 2*x^23*z0^3 - x^24*y + x^24*z0 + 2*x^22*y*z0^2 + x^22*z0^3 + 2*x^20*y*z0^4 + x^23*z0 - x^21*y*z0^2 + x^21*z0^3 + 2*x^19*y*z0^4 - 2*x^22*y + x^22*z0 - x^20*z0^3 - x^18*y*z0^4 - 2*x^21*y + 2*x^21*z0 - x^19*y*z0^2 - 2*x^19*z0^3 - x^17*y*z0^4 - x^20*y - 2*x^20*z0 - x^18*z0^3 + x^16*y^2*z0^3 + 2*x^16*y*z0^4 + x^19*y - x^17*y*z0^2 - x^17*z0^3 - x^15*y*z0^4 - x^18*y - 2*x^18*z0 - 2*x^16*z0^3 - x^14*y*z0^4 - 2*x^15*y*z0^2 + 2*x^15*z0^3 + 2*x^16*y + x^14*z0^3 + 2*x^12*y*z0^4 - x^15*y - x^13*y*z0^2 - x^13*z0^3 - 2*x^11*y*z0^4 + 2*x^14*z0 - x^12*y*z0^2 + x^12*z0^3 + x^13*y + x^13*z0 - 2*x^11*y*z0^2 + 2*x^11*z0^3 + 2*x^9*y*z0^4 - x^10*y*z0^2 + x^8*y*z0^4 - x^11*y + x^11*z0 - 2*x^9*y*z0^2 - 2*x^7*y*z0^4 - 2*x^10*y - 2*x^10*z0 + x^8*z0^3 - x^6*y*z0^4 + x^9*z0 - x^7*y*z0^2 - 2*x^7*z0^3 + x^5*y*z0^4 - 2*x^8*y - x^8*z0 + 2*x^6*y*z0^2 - 2*x^6*z0^3 + x^4*y*z0^4 + x^7*y + 2*x^5*y*z0^2 + x^5*z0^3 + x^3*y*z0^4 - 2*x^6*z0 + 2*x^4*y*z0^2 - x^5*y + 2*x^3*z0^3 + 2*x^4*y - x^4*z0 + x^2*y*z0^2 - 2*x^2*z0^3 - x^3*y - 2*x^3*z0 + x^2*y + x^2*z0)/y) * dx,
+ ((x^60*z0^4 + 2*x^61*z0^2 - 2*x^59*z0^4 - x^57*y^2*z0^4 - x^60*z0^2 - 2*x^58*y^2*z0^2 + 2*x^56*y^2*z0^4 + x^57*y^2*z0^2 - x^57*z0^4 + 2*x^60 - 2*x^58*z0^2 + 2*x^56*z0^4 - 2*x^57*y^2 + x^57*z0^2 + x^54*z0^4 - 2*x^57 + 2*x^55*z0^2 - 2*x^53*z0^4 - x^54*z0^2 - x^51*z0^4 + 2*x^54 - 2*x^52*z0^2 + 2*x^50*z0^4 + x^51*z0^2 + x^48*z0^4 - 2*x^51 + 2*x^49*z0^2 - 2*x^47*z0^4 - x^48*z0^2 - x^45*z0^4 + 2*x^48 - 2*x^46*z0^2 + 2*x^44*z0^4 + x^45*z0^2 + x^42*z0^4 - 2*x^45 + 2*x^43*z0^2 - 2*x^41*z0^4 - x^42*z0^2 + x^40*z0^4 + 2*x^41*z0^2 + 2*x^39*y*z0^3 - x^39*z0^4 + 2*x^42 + x^40*y*z0 - x^40*z0^2 - x^38*y*z0^3 - 2*x^39*y*z0 - x^39*z0^2 + x^37*y*z0^3 + x^40 - x^38*z0^2 + x^36*y*z0^3 - 2*x^36*z0^4 + 2*x^39 - x^37*y*z0 + 2*x^37*z0^2 + 2*x^35*y*z0^3 + x^35*z0^4 + x^38 - 2*x^36*y*z0 + x^36*z0^2 - x^34*y*z0^3 - 2*x^34*z0^4 - x^37 + 2*x^35*y*z0 - x^35*z0^2 + x^33*y*z0^3 + 2*x^33*z0^4 - 2*x^36 + 2*x^34*y*z0 - x^34*z0^2 + 2*x^32*y*z0^3 + x^35 - 2*x^33*y*z0 - 2*x^33*z0^2 - x^31*y*z0^3 - x^31*z0^4 + 2*x^34 - x^32*z0^2 + x^30*y*z0^3 - 2*x^30*z0^4 - x^33 + x^31*y*z0 + x^31*z0^2 - x^29*z0^4 - x^30*y*z0 + 2*x^28*y*z0^3 - 2*x^28*z0^4 - 2*x^29*y*z0 - x^29*z0^2 - x^30 - 2*x^28*y*z0 + x^28*z0^2 - x^26*y*z0^3 + 2*x^26*z0^4 + x^27*y*z0 + 2*x^27*z0^2 - x^25*y*z0^3 + x^25*z0^4 + x^28 - 2*x^24*y*z0^3 + 2*x^24*z0^4 + x^23*y*z0^3 - x^23*z0^4 + 2*x^26 - x^24*y*z0 + x^24*z0^2 + 2*x^22*y*z0^3 - 2*x^25 + x^23*y*z0 - x^23*z0^2 + x^21*y*z0^3 - x^21*z0^4 - 2*x^24 - x^22*y*z0 + x^20*y*z0^3 - x^20*z0^4 + x^23 + x^21*y*z0 - x^21*z0^2 + x^19*y*z0^3 + 2*x^22 + x^20*y*z0 - 2*x^20*z0^2 - x^18*y*z0^3 - x^18*z0^4 + x^16*y^2*z0^4 - x^21 + x^19*y*z0 - 2*x^20 + x^18*y*z0 + x^18*z0^2 - 2*x^16*y*z0^3 - 2*x^16*z0^4 - x^19 - x^17*y*z0 + x^15*y*z0^3 + 2*x^15*z0^4 - x^18 - 2*x^16*y*z0 - 2*x^16*z0^2 + 2*x^14*z0^4 - 2*x^15*y*z0 + 2*x^15*z0^2 + 2*x^13*y*z0^3 + x^13*z0^4 + x^16 - x^14*z0^2 - x^12*y*z0^3 - 2*x^12*z0^4 - 2*x^13*y*z0 + 2*x^13*z0^2 + x^11*y*z0^3 + 2*x^11*z0^4 - x^14 - x^12*y*z0 + x^10*y*z0^3 - 2*x^10*z0^4 + 2*x^13 + 2*x^11*y*z0 - 2*x^11*z0^2 - x^12 - x^8*y*z0^3 + 2*x^8*z0^4 + 2*x^11 - x^9*z0^2 + x^7*y*z0^3 - 2*x^7*z0^4 + x^8*y*z0 + x^8*z0^2 - x^6*y*z0^3 + 2*x^6*z0^4 + 2*x^9 + x^7*y*z0 + 2*x^5*z0^4 + 2*x^8 - x^6*y*z0 - x^4*y*z0^3 + x^4*z0^4 + 2*x^5*y*z0 + x^3*y*z0^3 - x^3*z0^4 - 2*x^6 + 2*x^4*y*z0 + x^4*z0^2 - 2*x^2*z0^4 - 2*x^3*y*z0 - 2*x^3*z0^2 + 2*x^2*y*z0)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^20 + x^17*y^2 + x^17 - x^14 + x^11 - x^8 + x^5 - x^2)/y) * dx,
+ ((-x^20*z0 + x^17*y^2*z0 + x^17*z0 - x^14*z0 + x^11*z0 - x^8*z0 + x^5*z0 - x^2*z0)/y) * dx,
+ ((-x^20*z0^2 + x^17*y^2*z0^2 + x^17*z0^2 - x^14*z0^2 + x^11*z0^2 - x^8*z0^2 + x^5*z0^2 - x^2*z0^2)/y) * dx,
+ ((-x^20*z0^3 + x^17*y^2*z0^3 + x^17*z0^3 - x^14*z0^3 + x^11*z0^3 - x^8*z0^3 + x^5*z0^3 - x^2*z0^3)/y) * dx,
+ ((-x^20*z0^4 + x^17*y^2*z0^4 + x^17*z0^4 - x^14*z0^4 + x^11*z0^4 - x^8*z0^4 + x^5*z0^4 - x^2*z0^4)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^21 + x^18*y^2 + x^18 - x^15 + x^12 - x^9 + x^6 - x^3)/y) * dx,
+ ((-x^21*z0 + x^18*y^2*z0 + x^18*z0 - x^15*z0 + x^12*z0 - x^9*z0 + x^6*z0 - x^3*z0)/y) * dx,
+ ((-x^21*z0^2 + x^18*y^2*z0^2 + x^18*z0^2 - x^15*z0^2 + x^12*z0^2 - x^9*z0^2 + x^6*z0^2 - x^3*z0^2)/y) * dx,
+ ((-x^21*z0^3 + x^18*y^2*z0^3 + x^18*z0^3 - x^15*z0^3 + x^12*z0^3 - x^9*z0^3 + x^6*z0^3 - x^3*z0^3)/y) * dx,
+ ((-x^21*z0^4 + x^18*y^2*z0^4 + x^18*z0^4 - x^15*z0^4 + x^12*z0^4 - x^9*z0^4 + x^6*z0^4 - x^3*z0^4)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((x^61*z0^4 - x^58*y^2*z0^4 + 2*x^61*z0^2 - 2*x^59*z0^4 + 2*x^60*z0^2 - 2*x^58*y^2*z0^2 - x^58*z0^4 + 2*x^56*y^2*z0^4 - x^61 - 2*x^57*y^2*z0^2 + 2*x^60 + x^58*y^2 - 2*x^58*z0^2 + 2*x^56*z0^4 - 2*x^57*y^2 - 2*x^57*z0^2 + x^55*z0^4 + x^58 - 2*x^57 + 2*x^55*z0^2 - 2*x^53*z0^4 + 2*x^54*z0^2 - x^52*z0^4 - x^55 + 2*x^54 - 2*x^52*z0^2 + 2*x^50*z0^4 - 2*x^51*z0^2 + x^49*z0^4 + x^52 - 2*x^51 + 2*x^49*z0^2 - 2*x^47*z0^4 + 2*x^48*z0^2 - x^46*z0^4 - x^49 + 2*x^48 - 2*x^46*z0^2 + 2*x^44*z0^4 - 2*x^45*z0^2 + x^43*z0^4 + x^46 - 2*x^45 + 2*x^43*z0^2 + x^41*z0^4 + 2*x^42*z0^2 - 2*x^40*y*z0^3 - x^43 + 2*x^41*z0^2 + 2*x^39*y*z0^3 + 2*x^42 + x^40*y*z0 - 2*x^40*z0^2 - x^38*y*z0^3 + x^38*z0^4 - 2*x^41 + x^39*y*z0 + x^39*z0^2 - 2*x^37*y*z0^3 + 2*x^37*z0^4 + x^40 - 2*x^38*y*z0 - x^38*z0^2 + x^36*y*z0^3 + 2*x^36*z0^4 - 2*x^39 + 2*x^37*y*z0 + 2*x^37*z0^2 - x^35*y*z0^3 + x^35*z0^4 + 2*x^38 - x^36*y*z0 - x^36*z0^2 + 2*x^34*y*z0^3 + 2*x^34*z0^4 - x^37 - 2*x^35*y*z0 - x^33*y*z0^3 + 2*x^33*z0^4 + x^36 - x^34*y*z0 + 2*x^34*z0^2 + x^32*y*z0^3 + 2*x^35 - x^33*y*z0 - x^33*z0^2 + x^31*y*z0^3 - x^31*z0^4 + 2*x^34 - 2*x^32*z0^2 - x^30*y*z0^3 + x^30*z0^4 + 2*x^33 + x^31*y*z0 + x^31*z0^2 + x^29*y*z0^3 + x^29*z0^4 - 2*x^32 + 2*x^28*y*z0^3 - 2*x^28*z0^4 + 2*x^31 - x^29*y*z0 - 2*x^29*z0^2 + x^27*y*z0^3 + 2*x^27*z0^4 + x^30 - 2*x^28*z0^2 + 2*x^29 - 2*x^27*y*z0 + 2*x^27*z0^2 - 2*x^25*y*z0^3 - 2*x^25*z0^4 + 2*x^28 - x^26*y*z0 - x^26*z0^2 - x^24*y*z0^3 - 2*x^24*z0^4 + 2*x^27 + 2*x^25*z0^2 - x^23*y*z0^3 + x^23*z0^4 - 2*x^26 + 2*x^24*y*z0 + x^22*z0^4 + x^21*y*z0^3 - 2*x^21*z0^4 - x^24 + 2*x^22*y*z0 - 2*x^20*y*z0^3 - x^23 + 2*x^21*y*z0 - 2*x^21*z0^2 - x^19*y*z0^3 + x^19*z0^4 + x^22 + x^20*y*z0 + 2*x^20*z0^2 + x^18*y*z0^3 - 2*x^18*z0^4 - 2*x^21 + x^19*y^2 - 2*x^19*y*z0 - 2*x^19*z0^2 + x^17*y*z0^3 - 2*x^17*z0^4 - 2*x^20 + 2*x^18*y*z0 + x^18*z0^2 + 2*x^16*y*z0^3 + 2*x^16*z0^4 + x^19 - 2*x^17*y*z0 + 2*x^17*z0^2 + x^15*y*z0^3 + 2*x^15*z0^4 + 2*x^18 + x^16*y*z0 + x^16*z0^2 + x^14*y*z0^3 - 2*x^14*z0^4 - 2*x^17 - 2*x^15*y*z0 + 2*x^15*z0^2 + x^13*z0^4 + 2*x^16 - 2*x^14*z0^2 - x^12*z0^4 - x^13*z0^2 + x^11*z0^4 + 2*x^14 - 2*x^12*z0^2 + 2*x^10*z0^4 - x^13 - x^11*z0^2 - 2*x^9*y*z0^3 - x^9*z0^4 + x^10*y*z0 + x^8*y*z0^3 + x^8*z0^4 + x^11 + x^9*y*z0 + x^7*y*z0^3 + 2*x^7*z0^4 + 2*x^10 - 2*x^8*y*z0 + 2*x^8*z0^2 - 2*x^6*y*z0^3 - 2*x^6*z0^4 - x^9 - 2*x^7*y*z0 + 2*x^7*z0^2 - x^5*y*z0^3 + 2*x^8 + 2*x^6*z0^2 - 2*x^4*z0^4 - x^7 - 2*x^5*y*z0 - x^5*z0^2 - 2*x^3*y*z0^3 - 2*x^3*z0^4 + x^6 - x^4*y*z0 - x^4*z0^2 - 2*x^2*y*z0^3 - 2*x^2*z0^4 + x^5 - 2*x^3*y*z0 + x^3*z0^2 + x^2*y*z0 + x^2*z0^2)/y) * dx,
+ ((-2*x^61*z0^3 - x^60*z0^3 + 2*x^58*y^2*z0^3 - x^61*z0 - x^59*z0^3 + x^57*y^2*z0^3 + x^58*y^2*z0 - x^58*z0^3 + x^56*y^2*z0^3 - 2*x^59*z0 - x^57*z0^3 - 2*x^55*y^2*z0^3 + x^58*z0 + 2*x^56*y^2*z0 + x^56*z0^3 + 2*x^54*y^2*z0^3 + x^55*z0^3 + 2*x^56*z0 + x^54*z0^3 - x^55*z0 - x^53*z0^3 - x^52*z0^3 - 2*x^53*z0 - x^51*z0^3 + x^52*z0 + x^50*z0^3 + x^49*z0^3 + 2*x^50*z0 + x^48*z0^3 - x^49*z0 - x^47*z0^3 - x^46*z0^3 - 2*x^47*z0 - x^45*z0^3 + x^46*z0 + x^44*z0^3 + x^43*z0^3 + 2*x^44*z0 + x^42*z0^3 - x^43*z0 + 2*x^41*z0^3 - 2*x^39*y*z0^4 - x^40*y*z0^2 - x^38*y*z0^4 + 2*x^41*z0 - x^39*y*z0^2 + 2*x^39*z0^3 + 2*x^37*y*z0^4 + 2*x^40*y + 2*x^40*z0 - x^38*y*z0^2 + x^38*z0^3 + 2*x^36*y*z0^4 + 2*x^39*z0 + 2*x^37*y*z0^2 + x^37*z0^3 - 2*x^38*z0 - 2*x^36*y*z0^2 + 2*x^34*y*z0^4 - x^37*y + 2*x^37*z0 + x^35*y*z0^2 + x^35*z0^3 + 2*x^33*y*z0^4 - 2*x^36*y + 2*x^36*z0 + 2*x^34*y*z0^2 + 2*x^34*z0^3 + 2*x^35*y + 2*x^33*y*z0^2 - x^33*z0^3 + 2*x^34*y - x^32*y*z0^2 - 2*x^32*z0^3 - 2*x^33*y + 2*x^33*z0 + x^31*y*z0^2 + x^31*z0^3 - x^29*y*z0^4 - x^32*y - 2*x^30*y*z0^2 - 2*x^30*z0^3 + x^28*y*z0^4 - x^31*y + x^31*z0 - x^29*y*z0^2 + x^29*z0^3 + x^27*y*z0^4 - x^30*y - x^30*z0 - x^28*z0^3 + 2*x^26*y*z0^4 - x^29*y - x^29*z0 - 2*x^27*y*z0^2 + 2*x^27*z0^3 + 2*x^25*y*z0^4 + 2*x^28*y - 2*x^28*z0 - x^26*z0^3 + x^27*y + 2*x^27*z0 + 2*x^25*y*z0^2 - 2*x^25*z0^3 - 2*x^26*z0 + x^24*y*z0^2 + 2*x^22*y*z0^4 + x^25*y + 2*x^25*z0 - 2*x^23*y*z0^2 - 2*x^23*z0^3 - 2*x^21*y*z0^4 + x^24*y + x^24*z0 + x^22*y*z0^2 - 2*x^20*y*z0^4 - 2*x^23*y + x^21*y*z0^2 - x^21*z0^3 - x^19*y*z0^4 - x^22*y + x^22*z0 + 2*x^18*y*z0^4 - 2*x^21*y + x^21*z0 + x^19*y^2*z0 - x^19*y*z0^2 + 2*x^19*z0^3 + 2*x^17*y*z0^4 + 2*x^20*y - x^20*z0 - x^18*y*z0^2 - x^18*z0^3 - 2*x^16*y*z0^4 - 2*x^19*z0 + 2*x^17*y*z0^2 - 2*x^17*z0^3 - x^15*y*z0^4 - 2*x^18*y - x^18*z0 + x^16*y*z0^2 + x^14*y*z0^4 - x^17*y + 2*x^17*z0 - x^15*z0^3 - 2*x^13*y*z0^4 - x^16*y + 2*x^16*z0 - 2*x^14*y*z0^2 - x^14*z0^3 + 2*x^12*y*z0^4 - 2*x^15*z0 + x^13*y*z0^2 - 2*x^14*y + 2*x^14*z0 - 2*x^12*y*z0^2 + x^10*y*z0^4 + x^13*y + x^13*z0 + x^11*y*z0^2 + x^9*y*z0^4 - x^12*z0 + x^10*y*z0^2 + 2*x^10*z0^3 + 2*x^8*y*z0^4 + x^11*y - 2*x^11*z0 + 2*x^9*y*z0^2 + x^7*y*z0^4 - 2*x^10*y + 2*x^10*z0 - 2*x^8*y*z0^2 + 2*x^8*z0^3 + 2*x^6*y*z0^4 + x^9*y - 2*x^9*z0 - x^7*y*z0^2 + 2*x^7*z0^3 - x^5*y*z0^4 + x^8*y + x^8*z0 + x^6*y*z0^2 - 2*x^4*y*z0^4 + 2*x^7*y - x^7*z0 - x^5*y*z0^2 + 2*x^5*z0^3 + 2*x^3*y*z0^4 - 2*x^6*y + x^4*y*z0^2 - 2*x^4*z0^3 + 2*x^2*y*z0^4 + x^5*y + 2*x^5*z0 - 2*x^3*y*z0^2 - x^3*z0^3 + x^4*y + 2*x^4*z0 - 2*x^2*y*z0^2 + x^2*z0^3 + 2*x^3*y - x^3*z0 + x^2*y - x^2*z0)/y) * dx,
+ ((2*x^61*z0^4 - 2*x^60*z0^4 - 2*x^58*y^2*z0^4 - 2*x^61*z0^2 - x^59*z0^4 + 2*x^57*y^2*z0^4 + x^60*z0^2 + 2*x^58*y^2*z0^2 - 2*x^58*z0^4 + x^56*y^2*z0^4 - x^57*y^2*z0^2 + 2*x^57*z0^4 - x^60 + 2*x^58*z0^2 + x^56*z0^4 + x^57*y^2 - x^57*z0^2 + 2*x^55*z0^4 - 2*x^54*z0^4 + x^57 - 2*x^55*z0^2 - x^53*z0^4 + x^54*z0^2 - 2*x^52*z0^4 + 2*x^51*z0^4 - x^54 + 2*x^52*z0^2 + x^50*z0^4 - x^51*z0^2 + 2*x^49*z0^4 - 2*x^48*z0^4 + x^51 - 2*x^49*z0^2 - x^47*z0^4 + x^48*z0^2 - 2*x^46*z0^4 + 2*x^45*z0^4 - x^48 + 2*x^46*z0^2 + x^44*z0^4 - x^45*z0^2 + 2*x^43*z0^4 - 2*x^42*z0^4 + x^45 - 2*x^43*z0^2 + x^41*z0^4 + x^42*z0^2 + x^40*y*z0^3 + x^40*z0^4 - 2*x^41*z0^2 - 2*x^39*y*z0^3 + x^39*z0^4 - x^42 - x^40*y*z0 - 2*x^40*z0^2 - x^38*z0^4 + 2*x^41 - 2*x^39*y*z0 + x^39*z0^2 - x^37*y*z0^3 - 2*x^37*z0^4 - x^40 + 2*x^38*y*z0 + x^38*z0^2 - x^36*y*z0^3 + 2*x^36*z0^4 - 2*x^39 + x^37*y*z0 - 2*x^35*y*z0^3 - 2*x^35*z0^4 + 2*x^38 + x^36*y*z0 - x^36*z0^2 + x^34*y*z0^3 - x^37 - x^35*y*z0 - 2*x^35*z0^2 + 2*x^33*y*z0^3 - x^34*y*z0 + x^32*y*z0^3 + 2*x^35 - 2*x^33*z0^2 - 2*x^31*y*z0^3 - 2*x^31*z0^4 + 2*x^34 + 2*x^32*z0^2 + 2*x^30*y*z0^3 - x^30*z0^4 - x^33 + 2*x^31*y*z0 - 2*x^31*z0^2 + x^29*y*z0^3 + x^29*z0^4 - 2*x^32 - 2*x^30*y*z0 + 2*x^28*y*z0^3 + 2*x^28*z0^4 - x^29*y*z0 - x^29*z0^2 + 2*x^27*y*z0^3 - 2*x^27*z0^4 - 2*x^30 - x^28*y*z0 + 2*x^26*y*z0^3 + 2*x^26*z0^4 + 2*x^27*y*z0 + x^27*z0^2 + x^25*y*z0^3 + 2*x^28 - 2*x^26*y*z0 + x^26*z0^2 + 2*x^24*y*z0^3 + x^24*z0^4 + 2*x^27 + x^25*y*z0 - 2*x^25*z0^2 - x^23*y*z0^3 + x^23*z0^4 + 2*x^26 - 2*x^24*y*z0 + 2*x^24*z0^2 + 2*x^22*y*z0^3 - x^22*z0^4 + 2*x^25 + x^23*y*z0 - 2*x^23*z0^2 - x^21*y*z0^3 - 2*x^22*y*z0 - 2*x^22*z0^2 - x^20*y*z0^3 + 2*x^20*z0^4 + 2*x^21*y*z0 - x^21*z0^2 + x^19*y^2*z0^2 - x^19*y*z0^3 - x^19*z0^4 - x^20*y*z0 + x^20*z0^2 + x^18*y*z0^3 + 2*x^18*z0^4 - 2*x^21 - 2*x^19*y*z0 + x^19*z0^2 - x^17*y*z0^3 + 2*x^17*z0^4 - 2*x^18*z0^2 - 2*x^16*y*z0^3 - 2*x^19 + 2*x^17*y*z0 + 2*x^17*z0^2 - x^15*y*z0^3 - 2*x^18 + x^16*z0^2 - x^14*y*z0^3 + 2*x^14*z0^4 + x^17 - x^15*y*z0 - x^13*y*z0^3 - x^13*z0^4 + x^16 - 2*x^14*y*z0 + x^12*y*z0^3 + x^15 - 2*x^13*y*z0 - x^13*z0^2 + x^11*y*z0^3 + x^11*z0^4 - x^10*y*z0^3 - x^10*z0^4 - x^11*y*z0 + 2*x^9*y*z0^3 - 2*x^9*z0^4 + 2*x^12 - x^10*y*z0 + 2*x^8*y*z0^3 + 2*x^8*z0^4 + 2*x^7*y*z0^3 + x^7*z0^4 + 2*x^10 + 2*x^8*z0^2 - 2*x^6*y*z0^3 - 2*x^6*z0^4 + 2*x^9 - x^7*y*z0 - 2*x^7*z0^2 + 2*x^5*z0^4 - x^8 + 2*x^6*y*z0 + x^6*z0^2 + x^4*y*z0^3 + 2*x^4*z0^4 - 2*x^7 + x^5*y*z0 - 2*x^3*y*z0^3 + 2*x^3*z0^4 - x^6 + 2*x^4*y*z0 - 2*x^4*z0^2 - x^2*y*z0^3 - 2*x^2*z0^4 + x^3*y*z0 - x^3*z0^2 + x^2*z0^2 + x^3 - x^2)/y) * dx,
+ ((-2*x^61*z0^3 + 2*x^58*y^2*z0^3 - 2*x^61*z0 - x^59*z0^3 + x^60*z0 + 2*x^58*y^2*z0 + x^58*z0^3 + x^56*y^2*z0^3 - 2*x^59*z0 - x^57*y^2*z0 + x^55*y^2*z0^3 + 2*x^58*z0 + 2*x^56*y^2*z0 + x^56*z0^3 - x^57*z0 - x^55*z0^3 + 2*x^56*z0 - 2*x^55*z0 - x^53*z0^3 + x^54*z0 + x^52*z0^3 - 2*x^53*z0 + 2*x^52*z0 + x^50*z0^3 - x^51*z0 - x^49*z0^3 + 2*x^50*z0 - 2*x^49*z0 - x^47*z0^3 + x^48*z0 + x^46*z0^3 - 2*x^47*z0 + 2*x^46*z0 + x^44*z0^3 - x^45*z0 - x^43*z0^3 + 2*x^44*z0 - 2*x^43*z0 + 2*x^41*z0^3 - 2*x^39*y*z0^4 + x^42*z0 - x^40*y*z0^2 + x^40*z0^3 + x^41*z0 - 2*x^39*y*z0^2 - 2*x^39*z0^3 - x^37*y*z0^4 - x^40*y - 2*x^40*z0 + x^38*y*z0^2 + x^38*z0^3 + 2*x^36*y*z0^4 - 2*x^39*y + 2*x^39*z0 + x^37*y*z0^2 - 2*x^38*y + x^38*z0 - x^36*z0^3 + x^34*y*z0^4 - 2*x^37*y + 2*x^37*z0 + 2*x^35*y*z0^2 - x^35*z0^3 - x^33*y*z0^4 - x^36*y + 2*x^36*z0 - 2*x^34*y*z0^2 - x^34*z0^3 + 2*x^32*y*z0^4 - 2*x^35*y + x^35*z0 + x^33*z0^3 + x^31*y*z0^4 - x^34*z0 + x^32*z0^3 + 2*x^30*y*z0^4 + x^33*y - 2*x^33*z0 + x^31*z0^3 + x^29*y*z0^4 - x^32*y + x^32*z0 - x^30*z0^3 - 2*x^31*y + x^31*z0 + x^29*y*z0^2 - 2*x^27*y*z0^4 + 2*x^30*y + 2*x^30*z0 + x^28*y*z0^2 - x^28*z0^3 - 2*x^26*y*z0^4 + 2*x^29*z0 + x^28*y - x^28*z0 + x^26*y*z0^2 - x^26*z0^3 - 2*x^24*y*z0^4 + 2*x^27*y + x^27*z0 + x^25*y*z0^2 + 2*x^25*z0^3 + x^23*y*z0^4 + x^26*y - x^26*z0 - 2*x^24*y*z0^2 - x^25*y + 2*x^23*y*z0^2 + 2*x^23*z0^3 + x^24*y - x^24*z0 - 2*x^22*y*z0^2 - 2*x^22*z0^3 - 2*x^20*y*z0^4 - x^23*z0 + x^21*y*z0^2 - x^21*z0^3 + x^19*y^2*z0^3 - 2*x^19*y*z0^4 + 2*x^22*y - x^22*z0 + x^20*z0^3 + x^18*y*z0^4 + 2*x^21*y - 2*x^21*z0 + x^19*y*z0^2 + 2*x^19*z0^3 + x^17*y*z0^4 + x^20*y + 2*x^20*z0 + x^18*z0^3 - 2*x^16*y*z0^4 - x^19*y + x^17*y*z0^2 + x^17*z0^3 + x^15*y*z0^4 + x^18*y + 2*x^18*z0 + 2*x^16*z0^3 + x^14*y*z0^4 + 2*x^15*y*z0^2 - 2*x^15*z0^3 - 2*x^16*y - x^14*z0^3 - 2*x^12*y*z0^4 + x^15*y + x^13*y*z0^2 + x^13*z0^3 + 2*x^11*y*z0^4 - 2*x^14*z0 + x^12*y*z0^2 - x^12*z0^3 - x^13*y - x^13*z0 + 2*x^11*y*z0^2 - 2*x^11*z0^3 - 2*x^9*y*z0^4 + x^10*y*z0^2 - x^8*y*z0^4 + x^11*y - x^11*z0 + 2*x^9*y*z0^2 + 2*x^7*y*z0^4 + 2*x^10*y + 2*x^10*z0 - x^8*z0^3 + x^6*y*z0^4 - x^9*z0 + x^7*y*z0^2 + 2*x^7*z0^3 - x^5*y*z0^4 + 2*x^8*y + x^8*z0 - 2*x^6*y*z0^2 + 2*x^6*z0^3 - x^4*y*z0^4 - x^7*y - 2*x^5*y*z0^2 - x^5*z0^3 - x^3*y*z0^4 + 2*x^6*z0 - 2*x^4*y*z0^2 + x^5*y - 2*x^3*z0^3 - 2*x^4*y + x^4*z0 - x^2*y*z0^2 + 2*x^2*z0^3 + x^3*y + 2*x^3*z0 - x^2*y - x^2*z0)/y) * dx,
+ ((-x^60*z0^4 - 2*x^61*z0^2 + 2*x^59*z0^4 + x^57*y^2*z0^4 + x^60*z0^2 + 2*x^58*y^2*z0^2 - 2*x^56*y^2*z0^4 - x^57*y^2*z0^2 + x^57*z0^4 - 2*x^60 + 2*x^58*z0^2 - 2*x^56*z0^4 + 2*x^57*y^2 - x^57*z0^2 - x^54*z0^4 + 2*x^57 - 2*x^55*z0^2 + 2*x^53*z0^4 + x^54*z0^2 + x^51*z0^4 - 2*x^54 + 2*x^52*z0^2 - 2*x^50*z0^4 - x^51*z0^2 - x^48*z0^4 + 2*x^51 - 2*x^49*z0^2 + 2*x^47*z0^4 + x^48*z0^2 + x^45*z0^4 - 2*x^48 + 2*x^46*z0^2 - 2*x^44*z0^4 - x^45*z0^2 - x^42*z0^4 + 2*x^45 - 2*x^43*z0^2 + 2*x^41*z0^4 + x^42*z0^2 - x^40*z0^4 - 2*x^41*z0^2 - 2*x^39*y*z0^3 + x^39*z0^4 - 2*x^42 - x^40*y*z0 + x^40*z0^2 + x^38*y*z0^3 + 2*x^39*y*z0 + x^39*z0^2 - x^37*y*z0^3 - x^40 + x^38*z0^2 - x^36*y*z0^3 + 2*x^36*z0^4 - 2*x^39 + x^37*y*z0 - 2*x^37*z0^2 - 2*x^35*y*z0^3 - x^35*z0^4 - x^38 + 2*x^36*y*z0 - x^36*z0^2 + x^34*y*z0^3 + 2*x^34*z0^4 + x^37 - 2*x^35*y*z0 + x^35*z0^2 - x^33*y*z0^3 - 2*x^33*z0^4 + 2*x^36 - 2*x^34*y*z0 + x^34*z0^2 - 2*x^32*y*z0^3 - x^35 + 2*x^33*y*z0 + 2*x^33*z0^2 + x^31*y*z0^3 + x^31*z0^4 - 2*x^34 + x^32*z0^2 - x^30*y*z0^3 + 2*x^30*z0^4 + x^33 - x^31*y*z0 - x^31*z0^2 + x^29*z0^4 + x^30*y*z0 - 2*x^28*y*z0^3 + 2*x^28*z0^4 + 2*x^29*y*z0 + x^29*z0^2 + x^30 + 2*x^28*y*z0 - x^28*z0^2 + x^26*y*z0^3 - 2*x^26*z0^4 - x^27*y*z0 - 2*x^27*z0^2 + x^25*y*z0^3 - x^25*z0^4 - x^28 + 2*x^24*y*z0^3 - 2*x^24*z0^4 - x^23*y*z0^3 + x^23*z0^4 - 2*x^26 + x^24*y*z0 - x^24*z0^2 - 2*x^22*y*z0^3 - x^22*z0^4 + 2*x^25 - x^23*y*z0 + x^23*z0^2 - x^21*y*z0^3 + x^21*z0^4 + x^19*y^2*z0^4 + 2*x^24 + x^22*y*z0 - x^20*y*z0^3 + x^20*z0^4 - x^23 - x^21*y*z0 + x^21*z0^2 - x^19*y*z0^3 - 2*x^22 - x^20*y*z0 + 2*x^20*z0^2 + x^18*y*z0^3 + x^18*z0^4 + x^21 - x^19*y*z0 + 2*x^20 - x^18*y*z0 - x^18*z0^2 + 2*x^16*y*z0^3 + 2*x^16*z0^4 + x^19 + x^17*y*z0 - x^15*y*z0^3 - 2*x^15*z0^4 + x^18 + 2*x^16*y*z0 + 2*x^16*z0^2 - 2*x^14*z0^4 + 2*x^15*y*z0 - 2*x^15*z0^2 - 2*x^13*y*z0^3 - x^13*z0^4 - x^16 + x^14*z0^2 + x^12*y*z0^3 + 2*x^12*z0^4 + 2*x^13*y*z0 - 2*x^13*z0^2 - x^11*y*z0^3 - 2*x^11*z0^4 + x^14 + x^12*y*z0 - x^10*y*z0^3 + 2*x^10*z0^4 - 2*x^13 - 2*x^11*y*z0 + 2*x^11*z0^2 + x^12 + x^8*y*z0^3 - 2*x^8*z0^4 - 2*x^11 + x^9*z0^2 - x^7*y*z0^3 + 2*x^7*z0^4 - x^8*y*z0 - x^8*z0^2 + x^6*y*z0^3 - 2*x^6*z0^4 - 2*x^9 - x^7*y*z0 - 2*x^5*z0^4 - 2*x^8 + x^6*y*z0 + x^4*y*z0^3 - x^4*z0^4 - 2*x^5*y*z0 - x^3*y*z0^3 + x^3*z0^4 + 2*x^6 - 2*x^4*y*z0 - x^4*z0^2 + 2*x^2*z0^4 + 2*x^3*y*z0 + 2*x^3*z0^2 - 2*x^2*y*z0)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^23 + x^20*y^2 + x^20 - x^17 + x^14 - x^11 + x^8 - x^5 + x^2)/y) * dx,
+ ((-x^23*z0 + x^20*y^2*z0 + x^20*z0 - x^17*z0 + x^14*z0 - x^11*z0 + x^8*z0 - x^5*z0 + x^2*z0)/y) * dx,
+ ((-x^23*z0^2 + x^20*y^2*z0^2 + x^20*z0^2 - x^17*z0^2 + x^14*z0^2 - x^11*z0^2 + x^8*z0^2 - x^5*z0^2 + x^2*z0^2)/y) * dx,
+ ((-x^23*z0^3 + x^20*y^2*z0^3 + x^20*z0^3 - x^17*z0^3 + x^14*z0^3 - x^11*z0^3 + x^8*z0^3 - x^5*z0^3 + x^2*z0^3)/y) * dx,
+ ((-x^23*z0^4 + x^20*y^2*z0^4 + x^20*z0^4 - x^17*z0^4 + x^14*z0^4 - x^11*z0^4 + x^8*z0^4 - x^5*z0^4 + x^2*z0^4)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((x^61*z0^4 + x^60*z0^4 - x^58*y^2*z0^4 - x^59*z0^4 - x^57*y^2*z0^4 + 2*x^60*z0^2 - x^58*z0^4 + x^56*y^2*z0^4 + 2*x^61 - 2*x^57*y^2*z0^2 - x^57*z0^4 - 2*x^58*y^2 + x^56*z0^4 - 2*x^57*z0^2 + x^55*z0^4 - 2*x^58 + x^54*z0^4 - x^53*z0^4 + 2*x^54*z0^2 - x^52*z0^4 + 2*x^55 - x^51*z0^4 + x^50*z0^4 - 2*x^51*z0^2 + x^49*z0^4 - 2*x^52 + x^48*z0^4 - x^47*z0^4 + 2*x^48*z0^2 - x^46*z0^4 + 2*x^49 - x^45*z0^4 + x^44*z0^4 - 2*x^45*z0^2 + x^43*z0^4 - 2*x^46 + x^42*z0^4 + x^41*z0^4 + 2*x^42*z0^2 - 2*x^40*y*z0^3 + 2*x^43 - x^39*z0^4 + 2*x^40*z0^2 - x^38*z0^4 + 2*x^41 + 2*x^39*y*z0 - 2*x^39*z0^2 + x^37*y*z0^3 + 2*x^37*z0^4 + 2*x^40 + x^38*y*z0 - 2*x^36*z0^4 - 2*x^39 - x^37*y*z0 - 2*x^37*z0^2 - x^35*y*z0^3 + 2*x^38 + 2*x^36*y*z0 + 2*x^36*z0^2 + 2*x^34*y*z0^3 + 2*x^35*y*z0 - x^35*z0^2 + x^33*y*z0^3 + x^33*z0^4 - x^36 - x^34*y*z0 - 2*x^32*y*z0^3 + x^35 + x^33*z0^2 + x^31*y*z0^3 - 2*x^31*z0^4 - 2*x^32*y*z0 - x^32*z0^2 - x^30*y*z0^3 + 2*x^30*z0^4 - 2*x^33 - 2*x^31*y*z0 - 2*x^29*y*z0^3 - 2*x^29*z0^4 + x^30*y*z0 - x^30*z0^2 - 2*x^28*y*z0^3 + x^28*z0^4 - x^31 - x^29*y*z0 - 2*x^29*z0^2 + x^27*y*z0^3 + 2*x^27*z0^4 + 2*x^30 - 2*x^28*y*z0 - x^26*y*z0^3 - x^26*z0^4 + x^27*y*z0 + x^25*z0^4 - x^28 - x^26*y*z0 - 2*x^26*z0^2 - x^24*y*z0^3 - x^24*z0^4 + 2*x^27 + x^25*y*z0 - x^25*z0^2 - 2*x^23*y*z0^3 - x^23*z0^4 + x^24*y*z0 - x^22*y*z0^3 - 2*x^22*z0^4 + x^23*y*z0 - x^23*z0^2 - x^21*y*z0^3 + x^21*z0^4 + x^24 - x^22*z0^2 + 2*x^20*y*z0^3 - 2*x^20*z0^4 + x^21*y^2 - x^21*y*z0 + 2*x^21*z0^2 + 2*x^19*y*z0^3 + x^19*z0^4 - x^22 - x^20*z0^2 + 2*x^18*z0^4 - x^21 + 2*x^19*z0^2 - 2*x^17*y*z0^3 + x^17*z0^4 - x^20 - 2*x^18*y*z0 + x^18*z0^2 + 2*x^16*y*z0^3 + x^17*z0^2 + x^15*y*z0^3 + x^15*z0^4 + 2*x^18 + 2*x^16*y*z0 - 2*x^14*z0^4 + 2*x^17 - 2*x^15*z0^2 + x^13*y*z0^3 - x^13*z0^4 + 2*x^16 + 2*x^14*y*z0 + 2*x^12*y*z0^3 + 2*x^12*z0^4 + x^15 - 2*x^13*y*z0 + x^13*z0^2 + x^11*y*z0^3 + x^11*z0^4 - 2*x^14 + x^12*y*z0 - x^12*z0^2 - 2*x^10*y*z0^3 + x^10*z0^4 - x^13 + x^11*y*z0 - 2*x^11*z0^2 - x^9*y*z0^3 + 2*x^9*z0^4 + x^12 - x^10*y*z0 - x^8*y*z0^3 - 2*x^8*z0^4 - x^11 - x^9*y*z0 + 2*x^9*z0^2 + 2*x^7*y*z0^3 + x^10 - 2*x^8*y*z0 + x^8*z0^2 - x^6*y*z0^3 + x^6*z0^4 - x^9 - 2*x^7*y*z0 - x^7*z0^2 + x^5*y*z0^3 - x^5*z0^4 + 2*x^8 - 2*x^4*y*z0^3 - x^7 + x^5*y*z0 - 2*x^3*y*z0^3 - 2*x^6 - x^4*y*z0 + 2*x^4*z0^2 - 2*x^2*y*z0^3 - 2*x^2*z0^4 - 2*x^5 - x^3*y*z0 + x^3*z0^2 - x^2*y*z0 + 2*x^2*z0^2 - x^3 - x^2)/y) * dx,
+ ((-x^61*z0^3 - 2*x^60*z0^3 + x^58*y^2*z0^3 + 2*x^61*z0 + 2*x^59*z0^3 + 2*x^57*y^2*z0^3 - 2*x^58*y^2*z0 - 2*x^58*z0^3 - 2*x^56*y^2*z0^3 + 2*x^59*z0 + x^57*z0^3 - 2*x^55*y^2*z0^3 - 2*x^58*z0 - 2*x^56*y^2*z0 - 2*x^56*z0^3 + x^54*y^2*z0^3 + 2*x^55*z0^3 - 2*x^56*z0 - x^54*z0^3 + 2*x^55*z0 + 2*x^53*z0^3 - 2*x^52*z0^3 + 2*x^53*z0 + x^51*z0^3 - 2*x^52*z0 - 2*x^50*z0^3 + 2*x^49*z0^3 - 2*x^50*z0 - x^48*z0^3 + 2*x^49*z0 + 2*x^47*z0^3 - 2*x^46*z0^3 + 2*x^47*z0 + x^45*z0^3 - 2*x^46*z0 - 2*x^44*z0^3 + 2*x^43*z0^3 - 2*x^44*z0 - x^42*z0^3 + 2*x^43*z0 + x^41*z0^3 - x^39*y*z0^4 + 2*x^40*y*z0^2 - 2*x^40*z0^3 - x^38*y*z0^4 - x^41*z0 + 2*x^39*y*z0^2 - 2*x^39*z0^3 + x^40*y + 2*x^40*z0 + 2*x^38*y*z0^2 - 2*x^38*z0^3 + x^36*y*z0^4 - 2*x^39*y + 2*x^39*z0 + 2*x^37*y*z0^2 + x^37*z0^3 - x^35*y*z0^4 - x^38*z0 - 2*x^36*z0^3 + 2*x^34*y*z0^4 + 2*x^37*y + x^37*z0 + x^35*y*z0^2 - x^35*z0^3 - 2*x^33*y*z0^4 + x^36*y - x^36*z0 - 2*x^34*y*z0^2 + 2*x^32*y*z0^4 - 2*x^35*y + x^35*z0 - x^33*y*z0^2 - 2*x^34*y + 2*x^32*y*z0^2 - x^32*z0^3 - x^33*y - 2*x^31*z0^3 - x^29*y*z0^4 - x^32*y + x^32*z0 + x^30*y*z0^2 - x^31*y - x^31*z0 - x^29*y*z0^2 - x^29*z0^3 + 2*x^27*y*z0^4 + 2*x^30*y + x^30*z0 - x^28*y*z0^2 - x^28*z0^3 + x^26*y*z0^4 + 2*x^29*y + 2*x^27*y*z0^2 - x^27*z0^3 - x^25*y*z0^4 + x^28*y - 2*x^28*z0 - 2*x^26*z0^3 + 2*x^24*y*z0^4 + 2*x^27*y + x^27*z0 - x^25*y*z0^2 - x^25*z0^3 - 2*x^26*y + x^26*z0 - x^24*y*z0^2 - x^24*z0^3 + 2*x^22*y*z0^4 - x^25*y - 2*x^25*z0 - 2*x^23*y*z0^2 + 2*x^23*z0^3 - 2*x^21*y*z0^4 - 2*x^24*y + 2*x^22*z0^3 + x^20*y*z0^4 - 2*x^23*y - 2*x^23*z0 + x^21*y^2*z0 - x^21*y*z0^2 - 2*x^21*z0^3 - x^19*y*z0^4 - x^22*y + x^22*z0 - x^20*y*z0^2 + x^20*z0^3 - x^18*y*z0^4 - 2*x^21*y - 2*x^21*z0 - x^19*z0^3 + x^17*y*z0^4 + x^20*y - x^18*y*z0^2 - 2*x^16*y*z0^4 + 2*x^19*z0 + x^17*y*z0^2 - 2*x^17*z0^3 - x^15*y*z0^4 + 2*x^18*y - 2*x^16*y*z0^2 - x^16*z0^3 + 2*x^14*y*z0^4 - x^17*y - 2*x^17*z0 + x^15*y*z0^2 + x^15*z0^3 + x^13*y*z0^4 + x^14*y*z0^2 + 2*x^14*z0^3 + x^15*y + x^15*z0 - x^13*y*z0^2 - 2*x^13*z0^3 - 2*x^11*y*z0^4 + 2*x^14*y + x^14*z0 - 2*x^12*y*z0^2 - 2*x^10*y*z0^4 + 2*x^13*y - 2*x^13*z0 - 2*x^11*z0^3 - 2*x^9*y*z0^4 + 2*x^12*z0 + x^10*y*z0^2 - 2*x^8*y*z0^4 - 2*x^11*z0 + 2*x^9*y*z0^2 + 2*x^7*y*z0^4 + x^10*y + 2*x^8*y*z0^2 + 2*x^6*y*z0^4 + 2*x^9*y - 2*x^9*z0 + x^7*y*z0^2 + x^7*z0^3 + x^5*y*z0^4 + 2*x^8*y - x^8*z0 + 2*x^6*y*z0^2 + 2*x^6*z0^3 + 2*x^4*y*z0^4 - 2*x^7*y + x^7*z0 + x^5*z0^3 + 2*x^3*y*z0^4 + 2*x^6*y + 2*x^6*z0 - 2*x^4*y*z0^2 - x^5*y - 2*x^5*z0 + x^3*y*z0^2 - x^3*z0^3 - 2*x^4*z0 - x^2*z0^3 - 2*x^3*y - 2*x^3*z0 + 2*x^2*y - x^2*z0)/y) * dx,
+ ((x^61*z0^4 + x^60*z0^4 - x^58*y^2*z0^4 - 2*x^61*z0^2 - 2*x^59*z0^4 - x^57*y^2*z0^4 - x^60*z0^2 + 2*x^58*y^2*z0^2 - x^58*z0^4 + 2*x^56*y^2*z0^4 + x^57*y^2*z0^2 - x^57*z0^4 + x^60 + 2*x^58*z0^2 + 2*x^56*z0^4 - x^57*y^2 + x^57*z0^2 + x^55*z0^4 + x^54*z0^4 - x^57 - 2*x^55*z0^2 - 2*x^53*z0^4 - x^54*z0^2 - x^52*z0^4 - x^51*z0^4 + x^54 + 2*x^52*z0^2 + 2*x^50*z0^4 + x^51*z0^2 + x^49*z0^4 + x^48*z0^4 - x^51 - 2*x^49*z0^2 - 2*x^47*z0^4 - x^48*z0^2 - x^46*z0^4 - x^45*z0^4 + x^48 + 2*x^46*z0^2 + 2*x^44*z0^4 + x^45*z0^2 + x^43*z0^4 + x^42*z0^4 - x^45 - 2*x^43*z0^2 - x^41*z0^4 - x^42*z0^2 - 2*x^40*y*z0^3 - x^40*z0^4 - 2*x^41*z0^2 - 2*x^39*y*z0^3 + x^39*z0^4 + x^42 - x^40*y*z0 - 2*x^40*z0^2 - x^38*y*z0^3 + 2*x^38*z0^4 + x^41 - 2*x^39*z0^2 - 2*x^40 + x^38*y*z0 + x^38*z0^2 - x^36*y*z0^3 + 2*x^36*z0^4 - 2*x^39 + x^37*y*z0 + 2*x^37*z0^2 + 2*x^35*y*z0^3 + 2*x^35*z0^4 - 2*x^38 - x^36*y*z0 + 2*x^36*z0^2 - x^34*y*z0^3 - 2*x^34*z0^4 - x^37 - 2*x^35*z0^2 - 2*x^33*y*z0^3 - 2*x^33*z0^4 + x^36 + x^34*y*z0 + 2*x^34*z0^2 + 2*x^32*y*z0^3 - 2*x^32*z0^4 + 2*x^35 + 2*x^33*y*z0 - x^33*z0^2 + x^31*y*z0^3 - 2*x^32*y*z0 + x^31*y*z0 + x^31*z0^2 + x^29*y*z0^3 - x^29*z0^4 + x^32 + 2*x^30*y*z0 + x^30*z0^2 - 2*x^31 - x^29*y*z0 + 2*x^29*z0^2 - 2*x^27*y*z0^3 + x^27*z0^4 - x^30 - 2*x^28*y*z0 - x^28*z0^2 + 2*x^26*y*z0^3 + 2*x^27*y*z0 + 2*x^25*y*z0^3 + 2*x^25*z0^4 - x^28 - x^26*y*z0 - 2*x^24*y*z0^3 + x^24*z0^4 - x^25*y*z0 + x^25*z0^2 + x^23*y*z0^3 + 2*x^24*y*z0 + x^24*z0^2 + 2*x^22*z0^4 + 2*x^25 + x^21*y^2*z0^2 - x^21*y*z0^3 + 2*x^21*z0^4 - 2*x^24 + x^22*y*z0 + x^22*z0^2 - 2*x^20*y*z0^3 - x^20*z0^4 + 2*x^21*y*z0 - 2*x^21*z0^2 + x^19*y*z0^3 + 2*x^19*z0^4 + 2*x^22 - x^20*y*z0 + x^20*z0^2 - x^18*z0^4 - x^21 + x^19*y*z0 + 2*x^19*z0^2 + 2*x^17*y*z0^3 - x^17*z0^4 - 2*x^18*y*z0 - 2*x^18*z0^2 - x^16*y*z0^3 + x^16*z0^4 + 2*x^19 + 2*x^17*y*z0 + x^17*z0^2 - 2*x^15*y*z0^3 + x^15*z0^4 + 2*x^18 - x^16*y*z0 + 2*x^16*z0^2 + 2*x^14*y*z0^3 + 2*x^14*z0^4 - x^17 - x^15*y*z0 - x^15*z0^2 - x^13*y*z0^3 - x^13*z0^4 + x^16 - x^14*z0^2 + 2*x^12*y*z0^3 - 2*x^12*z0^4 + x^15 + 2*x^13*z0^2 - x^11*z0^4 + x^14 - x^12*y*z0 + 2*x^12*z0^2 - x^10*y*z0^3 + x^10*z0^4 - 2*x^13 - 2*x^11*y*z0 + x^11*z0^2 - 2*x^9*y*z0^3 - x^9*z0^4 + 2*x^12 + x^10*z0^2 - 2*x^8*y*z0^3 - 2*x^8*z0^4 + 2*x^11 + x^9*y*z0 + x^7*y*z0^3 + 2*x^7*z0^4 - 2*x^10 + 2*x^8*y*z0 - x^8*z0^2 + 2*x^6*y*z0^3 + x^6*z0^4 + 2*x^9 - x^7*y*z0 + x^7*z0^2 + 2*x^5*y*z0^3 - x^8 + x^6*y*z0 - 2*x^6*z0^2 + x^4*z0^4 - x^7 - 2*x^5*y*z0 - 2*x^5*z0^2 - 2*x^3*y*z0^3 + x^3*z0^4 + x^6 + x^4*y*z0 + 2*x^4*z0^2 - x^2*y*z0^3 + 2*x^2*z0^4 - x^3*z0^2 + 2*x^2*y*z0 + 2*x^2*z0^2 - x^2)/y) * dx,
+ ((x^61*z0^3 + x^60*z0^3 - x^58*y^2*z0^3 - x^61*z0 - 2*x^59*z0^3 - x^57*y^2*z0^3 - x^60*z0 + x^58*y^2*z0 + 2*x^58*z0^3 + 2*x^56*y^2*z0^3 + x^59*z0 + x^57*y^2*z0 + 2*x^57*z0^3 + 2*x^55*y^2*z0^3 + x^58*z0 - x^56*y^2*z0 + 2*x^56*z0^3 + 2*x^54*y^2*z0^3 + x^57*z0 - 2*x^55*z0^3 - x^56*z0 - 2*x^54*z0^3 - x^55*z0 - 2*x^53*z0^3 - x^54*z0 + 2*x^52*z0^3 + x^53*z0 + 2*x^51*z0^3 + x^52*z0 + 2*x^50*z0^3 + x^51*z0 - 2*x^49*z0^3 - x^50*z0 - 2*x^48*z0^3 - x^49*z0 - 2*x^47*z0^3 - x^48*z0 + 2*x^46*z0^3 + x^47*z0 + 2*x^45*z0^3 + x^46*z0 + 2*x^44*z0^3 + x^45*z0 - 2*x^43*z0^3 - x^44*z0 - 2*x^42*z0^3 - x^43*z0 - x^41*z0^3 + x^39*y*z0^4 - x^42*z0 - 2*x^40*y*z0^2 - 2*x^40*z0^3 - x^39*y*z0^2 - 2*x^39*z0^3 + 2*x^40*y + 2*x^40*z0 + x^38*y*z0^2 + 2*x^38*z0^3 - x^36*y*z0^4 - x^39*y - x^39*z0 - x^37*z0^3 - 2*x^35*y*z0^4 + 2*x^38*y - 2*x^38*z0 - x^36*y*z0^2 + x^36*z0^3 - x^37*y + x^37*z0 + x^35*y*z0^2 - 2*x^35*z0^3 - x^33*y*z0^4 + x^36*y - x^36*z0 - 2*x^34*y*z0^2 - x^34*z0^3 - 2*x^35*y - x^35*z0 + x^33*y*z0^2 + 2*x^33*z0^3 + x^34*y + 2*x^34*z0 + 2*x^32*y*z0^2 - 2*x^32*z0^3 - x^30*y*z0^4 - 2*x^33*z0 - 2*x^31*y*z0^2 + 2*x^29*y*z0^4 - 2*x^32*y - x^30*y*z0^2 + 2*x^28*y*z0^4 - 2*x^31*y + x^31*z0 + x^29*y*z0^2 - 2*x^29*z0^3 + 2*x^27*y*z0^4 - 2*x^30*y + 2*x^28*y*z0^2 + x^28*z0^3 + x^26*y*z0^4 + x^29*y - x^29*z0 - x^27*y*z0^2 + 2*x^27*z0^3 - 2*x^25*y*z0^4 + 2*x^28*y + x^28*z0 + 2*x^26*y*z0^2 - 2*x^26*z0^3 + 2*x^24*y*z0^4 + x^27*y + 2*x^27*z0 - x^25*y*z0^2 + x^25*z0^3 + x^26*y - 2*x^24*z0^3 + x^25*y + x^25*z0 - x^23*z0^3 + x^21*y^2*z0^3 + x^21*y*z0^4 + 2*x^24*y - x^24*z0 - x^22*y*z0^2 - 2*x^22*z0^3 - 2*x^23*z0 + 2*x^21*y*z0^2 - x^22*y + x^22*z0 - 2*x^20*y*z0^2 + 2*x^20*z0^3 + x^18*y*z0^4 + 2*x^21*y + 2*x^19*y*z0^2 + 2*x^19*z0^3 - 2*x^17*y*z0^4 - x^20*y + x^20*z0 + 2*x^18*y*z0^2 + 2*x^18*z0^3 + 2*x^16*y*z0^4 - 2*x^19*y - 2*x^19*z0 - x^17*y*z0^2 + 2*x^15*y*z0^4 + x^16*y*z0^2 + 2*x^16*z0^3 - 2*x^17*y + x^15*y*z0^2 + 2*x^15*z0^3 + 2*x^13*y*z0^4 + 2*x^16*y + x^16*z0 - x^14*y*z0^2 - 2*x^14*z0^3 - x^12*y*z0^4 - x^15*y + 2*x^13*y*z0^2 - x^13*z0^3 + x^11*y*z0^4 - x^14*z0 + x^12*y*z0^2 + 2*x^12*z0^3 + x^13*y - x^13*z0 + x^11*y*z0^2 - 2*x^9*y*z0^4 + x^12*y + x^12*z0 - x^10*z0^3 - 2*x^8*y*z0^4 + x^11*y + 2*x^11*z0 + 2*x^9*y*z0^2 + x^10*y + x^10*z0 - x^8*z0^3 - 2*x^9*y - 2*x^7*y*z0^2 + 2*x^7*z0^3 - x^5*y*z0^4 - x^8*y + 2*x^6*y*z0^2 + 2*x^6*z0^3 - 2*x^4*y*z0^4 + x^7*y - x^5*y*z0^2 + 2*x^5*z0^3 + x^3*y*z0^4 + 2*x^6*y + 2*x^6*z0 + x^4*y*z0^2 + 2*x^4*z0^3 + 2*x^5*y + 2*x^5*z0 + 2*x^3*y*z0^2 + x^3*z0^3 + x^4*y - 2*x^4*z0 - x^2*y*z0^2 + 2*x^2*z0^3 - 2*x^3*y - x^2*z0)/y) * dx,
+ ((-x^61*z0^4 + 2*x^60*z0^4 + x^58*y^2*z0^4 - x^59*z0^4 - 2*x^57*y^2*z0^4 + 2*x^60*z0^2 + x^58*z0^4 + x^56*y^2*z0^4 - 2*x^57*y^2*z0^2 - 2*x^57*z0^4 + x^60 + x^56*z0^4 - x^57*y^2 - 2*x^57*z0^2 - x^55*z0^4 + 2*x^54*z0^4 - x^57 - x^53*z0^4 + 2*x^54*z0^2 + x^52*z0^4 - 2*x^51*z0^4 + x^54 + x^50*z0^4 - 2*x^51*z0^2 - x^49*z0^4 + 2*x^48*z0^4 - x^51 - x^47*z0^4 + 2*x^48*z0^2 + x^46*z0^4 - 2*x^45*z0^4 + x^48 + x^44*z0^4 - 2*x^45*z0^2 - x^43*z0^4 + 2*x^42*z0^4 - x^45 - 2*x^41*z0^4 + 2*x^42*z0^2 + 2*x^40*y*z0^3 - 2*x^40*z0^4 - x^39*z0^4 + x^42 - x^40*z0^2 - x^38*y*z0^3 - 2*x^38*z0^4 - x^41 - x^39*y*z0 - 2*x^39*z0^2 - x^37*y*z0^3 - x^37*z0^4 + 2*x^40 + 2*x^36*z0^4 + x^39 + x^37*y*z0 - x^37*z0^2 + 2*x^35*y*z0^3 + x^38 + x^36*y*z0 + 2*x^36*z0^2 + 2*x^34*y*z0^3 + 2*x^34*z0^4 + 2*x^35*y*z0 + x^35*z0^2 + x^33*y*z0^3 - x^33*z0^4 - 2*x^36 - 2*x^34*y*z0 + x^34*z0^2 + 2*x^32*y*z0^3 - x^32*z0^4 + x^33*y*z0 + 2*x^33*z0^2 - x^31*y*z0^3 - 2*x^31*z0^4 - x^32*y*z0 + 2*x^30*y*z0^3 - x^30*z0^4 + 2*x^33 + x^31*y*z0 + x^29*y*z0^3 + 2*x^29*z0^4 - x^32 + 2*x^30*z0^2 - x^28*y*z0^3 - x^28*z0^4 - 2*x^31 + 2*x^29*y*z0 + 2*x^29*z0^2 + x^27*z0^4 - 2*x^28*y*z0 + x^28*z0^2 + x^26*y*z0^3 - x^26*z0^4 + 2*x^29 - 2*x^27*y*z0 + 2*x^27*z0^2 - 2*x^25*z0^4 + x^28 - x^24*y*z0^3 + 2*x^25*y*z0 - x^25*z0^2 + x^23*y*z0^3 - x^23*z0^4 + x^21*y^2*z0^4 + 2*x^26 + 2*x^24*z0^2 - 2*x^22*y*z0^3 - 2*x^22*z0^4 + x^25 - 2*x^23*y*z0 - x^23*z0^2 + x^21*y*z0^3 + 2*x^21*z0^4 + 2*x^22*y*z0 - 2*x^22*z0^2 + 2*x^20*z0^4 + x^23 + 2*x^21*y*z0 - x^21*z0^2 - x^19*y*z0^3 + x^19*z0^4 + 2*x^22 + x^20*y*z0 - x^20*z0^2 + x^18*y*z0^3 + x^18*z0^4 + 2*x^21 - x^19*z0^2 - 2*x^17*y*z0^3 - 2*x^17*z0^4 - 2*x^18*y*z0 - 2*x^18*z0^2 - x^16*y*z0^3 - 2*x^16*z0^4 + 2*x^19 - x^17*y*z0 + x^15*y*z0^3 + x^15*z0^4 + x^18 - 2*x^16*y*z0 - x^16*z0^2 - 2*x^14*y*z0^3 + x^17 - x^15*y*z0 + x^15*z0^2 + 2*x^13*z0^4 + x^16 - 2*x^14*y*z0 + x^14*z0^2 + x^12*y*z0^3 + 2*x^12*z0^4 + 2*x^15 - 2*x^13*y*z0 - x^11*y*z0^3 - 2*x^11*z0^4 + 2*x^14 - x^12*y*z0 + 2*x^12*z0^2 + 2*x^10*y*z0^3 + 2*x^10*z0^4 + 2*x^11*y*z0 - 2*x^11*z0^2 - 2*x^9*y*z0^3 - x^9*z0^4 - x^12 + 2*x^10*y*z0 + 2*x^10*z0^2 + 2*x^8*z0^4 - 2*x^9*y*z0 + x^7*y*z0^3 + x^7*z0^4 - 2*x^10 + 2*x^8*y*z0 + 2*x^8*z0^2 - x^6*y*z0^3 + 2*x^6*z0^4 - x^9 - 2*x^7*y*z0 - x^7*z0^2 + x^5*y*z0^3 - x^8 + 2*x^4*y*z0^3 - x^4*z0^4 - x^7 - x^5*y*z0 + x^5*z0^2 - x^3*y*z0^3 - x^3*z0^4 + x^6 + x^4*y*z0 + x^4*z0^2 - x^2*y*z0^3 + 2*x^5 - 2*x^3*y*z0 + x^3*z0^2 - x^2*y*z0 - 2*x^2*z0^2 - x^3 - x^2)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^61*z0^4 + x^60*z0^4 + x^58*y^2*z0^4 - x^61*z0^2 - x^59*z0^4 - x^57*y^2*z0^4 - x^60*z0^2 + x^58*y^2*z0^2 + x^58*z0^4 + x^56*y^2*z0^4 + x^57*y^2*z0^2 - x^57*z0^4 + x^60 + x^58*z0^2 + x^56*z0^4 - x^57*y^2 + x^57*z0^2 - x^55*z0^4 + x^54*z0^4 - x^57 - x^55*z0^2 - x^53*z0^4 - x^54*z0^2 + x^52*z0^4 - x^51*z0^4 + x^54 + x^52*z0^2 + x^50*z0^4 + x^51*z0^2 - x^49*z0^4 + x^48*z0^4 - x^51 - x^49*z0^2 - x^47*z0^4 - x^48*z0^2 + x^46*z0^4 - x^45*z0^4 + x^48 + x^46*z0^2 + x^44*z0^4 + x^45*z0^2 - x^43*z0^4 + x^42*z0^4 - x^45 - x^43*z0^2 - 2*x^41*z0^4 - x^42*z0^2 + 2*x^40*y*z0^3 + x^40*z0^4 - x^41*z0^2 - x^39*y*z0^3 + x^42 + 2*x^40*y*z0 - 2*x^38*y*z0^3 - 2*x^38*z0^4 - x^41 + x^39*y*z0 + 2*x^39*z0^2 - x^37*z0^4 + 2*x^40 - 2*x^38*z0^2 + 2*x^36*y*z0^3 + x^36*z0^4 - x^39 - 2*x^37*y*z0 - x^37*z0^2 + x^35*y*z0^3 + 2*x^35*z0^4 + x^38 - x^36*y*z0 - 2*x^36*z0^2 - x^34*y*z0^3 - 2*x^34*z0^4 - 2*x^37 - 2*x^35*y*z0 - x^35*z0^2 - x^33*y*z0^3 + 2*x^33*z0^4 - x^36 - 2*x^34*z0^2 - 2*x^32*y*z0^3 - 2*x^32*z0^4 + x^35 + x^33*y*z0 + x^33*z0^2 + x^31*y*z0^3 - x^31*z0^4 - 2*x^34 - 2*x^32*y*z0 + x^32*z0^2 - 2*x^30*y*z0^3 - 2*x^33 - x^29*y*z0^3 + 2*x^29*z0^4 + x^30*y*z0 - x^28*y*z0^3 - x^28*z0^4 + x^31 + x^29*y*z0 + x^29*z0^2 + x^27*y*z0^3 - x^27*z0^4 - 2*x^28*z0^2 - x^26*z0^4 - x^29 + x^27*y*z0 - 2*x^27*z0^2 - 2*x^25*y*z0^3 - x^25*z0^4 - 2*x^28 + 2*x^26*y*z0 + x^26*z0^2 - 2*x^24*y*z0^3 - 2*x^24*z0^4 + x^27 - 2*x^25*y*z0 + x^25*z0^2 + x^23*y*z0^3 + 2*x^23*z0^4 - 2*x^26 - 2*x^24*y*z0 + 2*x^22*y*z0^3 - 2*x^22*z0^4 + 2*x^23*y*z0 + 2*x^23*z0^2 + x^21*y*z0^3 + 2*x^24 + x^22*y^2 - 2*x^22*y*z0 + x^22*z0^2 - x^20*y*z0^3 - 2*x^20*z0^4 - 2*x^23 + x^21*y*z0 - 2*x^21*z0^2 + 2*x^19*y*z0^3 - x^19*z0^4 - x^20*y*z0 + 2*x^20*z0^2 + 2*x^18*y*z0^3 + 2*x^18*z0^4 + 2*x^19*y*z0 + x^17*y*z0^3 + 2*x^20 - 2*x^18*y*z0 + 2*x^18*z0^2 + x^16*y*z0^3 - 2*x^16*z0^4 - 2*x^17*y*z0 - 2*x^17*z0^2 + 2*x^15*z0^4 + 2*x^18 + 2*x^16*y*z0 - 2*x^16*z0^2 + x^14*y*z0^3 - 2*x^14*z0^4 - x^17 - x^15*z0^2 + 2*x^13*y*z0^3 - x^13*z0^4 - 2*x^16 + 2*x^14*y*z0 + 2*x^14*z0^2 - x^12*y*z0^3 - x^12*z0^4 - x^15 - x^13*y*z0 + 2*x^13*z0^2 - 2*x^11*z0^4 - 2*x^14 - 2*x^12*y*z0 + x^12*z0^2 + 2*x^10*z0^4 - 2*x^13 + x^11*y*z0 - 2*x^11*z0^2 - 2*x^9*y*z0^3 - 2*x^9*z0^4 - x^12 + 2*x^10*y*z0 + x^10*z0^2 - 2*x^8*y*z0^3 + 2*x^8*z0^4 + x^11 + x^9*y*z0 + x^9*z0^2 + 2*x^7*y*z0^3 + x^7*z0^4 + 2*x^8*y*z0 + 2*x^6*y*z0^3 - x^6*z0^4 + x^7*z0^2 - 2*x^5*y*z0^3 - x^5*z0^4 + x^8 - x^6*y*z0 + 2*x^6*z0^2 + x^4*y*z0^3 + x^7 - 2*x^5*y*z0 + x^3*y*z0^3 - x^3*z0^4 - x^6 - 2*x^4*y*z0 - x^4*z0^2 - 2*x^2*y*z0^3 - 2*x^2*z0^4 - x^3*z0^2 - x^2*y*z0 - x^2*z0^2 + 2*x^3)/y) * dx,
+ ((-2*x^60*z0^3 + 2*x^61*z0 + 2*x^57*y^2*z0^3 + x^60*z0 - 2*x^58*y^2*z0 + x^59*z0 - x^57*y^2*z0 - 2*x^58*z0 - x^56*y^2*z0 + 2*x^54*y^2*z0^3 - x^57*z0 - x^56*z0 + 2*x^55*z0 + x^54*z0 + x^53*z0 - 2*x^52*z0 - x^51*z0 - x^50*z0 + 2*x^49*z0 + x^48*z0 + x^47*z0 - 2*x^46*z0 - x^45*z0 - x^44*z0 + 2*x^43*z0 + x^42*z0 + x^40*z0^3 + 2*x^38*y*z0^4 - 2*x^41*z0 + 2*x^39*y*z0^2 + x^39*z0^3 + x^40*y - x^40*z0 + 2*x^38*y*z0^2 - x^39*y - x^39*z0 + x^37*z0^3 + 2*x^35*y*z0^4 - x^38*z0 - 2*x^36*y*z0^2 - x^36*z0^3 + 2*x^37*y - x^37*z0 + x^35*y*z0^2 + 2*x^35*z0^3 - 2*x^33*y*z0^4 + 2*x^36*y - x^36*z0 - x^34*z0^3 - 2*x^32*y*z0^4 - 2*x^35*y + x^35*z0 + 2*x^33*y*z0^2 + x^33*z0^3 - x^32*y*z0^2 - x^32*z0^3 - 2*x^30*y*z0^4 - 2*x^33*y - 2*x^33*z0 + x^31*y*z0^2 - 2*x^31*z0^3 + x^29*y*z0^4 + x^32*y - 2*x^32*z0 + 2*x^30*y*z0^2 - 2*x^30*z0^3 - 2*x^31*y - x^31*z0 + x^29*z0^3 - 2*x^27*y*z0^4 + x^30*y - 2*x^30*z0 + 2*x^28*y*z0^2 + 2*x^28*z0^3 + 2*x^26*y*z0^4 - x^29*y + x^29*z0 + 2*x^27*y*z0^2 + 2*x^27*z0^3 + 2*x^25*y*z0^4 - x^28*z0 - x^26*y*z0^2 + x^26*z0^3 - x^27*y + x^27*z0 - x^25*y*z0^2 - x^25*z0^3 - x^23*y*z0^4 - 2*x^26*z0 - x^24*y*z0^2 + x^24*z0^3 - x^22*y*z0^4 - x^25*y - x^25*z0 + 2*x^23*z0^3 + 2*x^21*y*z0^4 - x^24*z0 + x^22*y^2*z0 + x^22*y*z0^2 - 2*x^22*z0^3 - x^20*y*z0^4 - x^23*y + 2*x^23*z0 - x^21*z0^3 + x^19*y*z0^4 - x^22*z0 + x^20*y*z0^2 - 2*x^20*z0^3 - 2*x^18*y*z0^4 + x^21*y - 2*x^19*y*z0^2 - x^17*y*z0^4 - x^20*y + x^18*y*z0^2 + 2*x^19*y - x^19*z0 + 2*x^17*y*z0^2 - 2*x^17*z0^3 - 2*x^15*y*z0^4 - 2*x^18*z0 - x^16*y*z0^2 + x^14*y*z0^4 - x^17*y - 2*x^13*y*z0^4 - x^16*y - x^16*z0 + x^14*y*z0^2 - 2*x^12*y*z0^4 - 2*x^13*y*z0^2 - 2*x^11*y*z0^4 + x^14*y - 2*x^14*z0 + 2*x^12*z0^3 - x^10*y*z0^4 - x^13*y + 2*x^13*z0 - x^11*y*z0^2 - 2*x^11*z0^3 + x^9*y*z0^4 + x^12*z0 + 2*x^8*y*z0^4 - 2*x^7*y*z0^4 - 2*x^10*y + x^10*z0 - x^8*y*z0^2 - x^8*z0^3 - 2*x^9*z0 + 2*x^7*y*z0^2 + x^7*z0^3 + x^8*y + 2*x^8*z0 - x^6*y*z0^2 + 2*x^4*y*z0^4 - x^7*y - x^7*z0 + 2*x^5*y*z0^2 - 2*x^5*z0^3 + 2*x^6*y - x^6*z0 - 2*x^4*y*z0^2 - x^4*z0^3 - 2*x^2*y*z0^4 + x^5*y - x^3*y*z0^2 - 2*x^4*y - 2*x^2*y*z0^2 - x^2*z0^3 + x^3*z0 - 2*x^2*y - 2*x^2*z0)/y) * dx,
+ ((x^61*z0^4 + 2*x^60*z0^4 - x^58*y^2*z0^4 + x^61*z0^2 - 2*x^57*y^2*z0^4 + x^60*z0^2 - x^58*y^2*z0^2 - x^58*z0^4 - x^61 - x^57*y^2*z0^2 - 2*x^57*z0^4 - 2*x^60 + x^58*y^2 - x^58*z0^2 + 2*x^57*y^2 - x^57*z0^2 + x^55*z0^4 + x^58 + 2*x^54*z0^4 + 2*x^57 + x^55*z0^2 + x^54*z0^2 - x^52*z0^4 - x^55 - 2*x^51*z0^4 - 2*x^54 - x^52*z0^2 - x^51*z0^2 + x^49*z0^4 + x^52 + 2*x^48*z0^4 + 2*x^51 + x^49*z0^2 + x^48*z0^2 - x^46*z0^4 - x^49 - 2*x^45*z0^4 - 2*x^48 - x^46*z0^2 - x^45*z0^2 + x^43*z0^4 + x^46 + 2*x^42*z0^4 + 2*x^45 + x^43*z0^2 - 2*x^41*z0^4 + x^42*z0^2 - 2*x^40*y*z0^3 - x^43 + x^41*z0^2 + x^39*y*z0^3 - x^39*z0^4 - 2*x^42 - 2*x^40*y*z0 - x^40*z0^2 + x^38*z0^4 - 2*x^41 + 2*x^39*y*z0 - 2*x^39*z0^2 + x^37*y*z0^3 - x^37*z0^4 - 2*x^38*y*z0 + 2*x^38*z0^2 - 2*x^36*y*z0^3 - 2*x^36*z0^4 - 2*x^39 + x^37*y*z0 + x^37*z0^2 + 2*x^35*y*z0^3 + 2*x^35*z0^4 + x^38 + 2*x^36*y*z0 + 2*x^36*z0^2 + x^34*y*z0^3 + x^34*z0^4 + 2*x^37 - x^35*z0^2 - 2*x^33*y*z0^3 + 2*x^33*z0^4 + 2*x^36 - x^34*y*z0 + x^34*z0^2 - x^32*y*z0^3 - 2*x^32*z0^4 + x^35 - x^33*y*z0 + 2*x^33*z0^2 + 2*x^31*y*z0^3 - 2*x^31*z0^4 + 2*x^34 + 2*x^32*y*z0 + x^32*z0^2 - 2*x^30*y*z0^3 - x^30*z0^4 - 2*x^31*y*z0 + 2*x^31*z0^2 - 2*x^29*z0^4 - 2*x^32 + 2*x^30*y*z0 + 2*x^28*y*z0^3 - x^31 - 2*x^27*y*z0^3 + 2*x^27*z0^4 + 2*x^30 + 2*x^28*y*z0 - x^28*z0^2 + x^26*y*z0^3 + x^26*z0^4 - x^29 + x^27*y*z0 + x^25*y*z0^3 - x^25*z0^4 + 2*x^28 - 2*x^26*z0^2 + 2*x^24*y*z0^3 - x^24*z0^4 - x^25*y*z0 - x^25*z0^2 - x^23*y*z0^3 - x^23*z0^4 + x^26 - x^24*z0^2 + x^22*y^2*z0^2 + x^22*y*z0^3 - 2*x^22*z0^4 - x^25 + x^23*y*z0 - x^21*y*z0^3 + 2*x^24 - 2*x^22*y*z0 + x^20*y*z0^3 + 2*x^20*z0^4 + 2*x^23 + 2*x^21*y*z0 - 2*x^21*z0^2 + x^19*y*z0^3 - x^19*z0^4 + 2*x^22 - 2*x^20*y*z0 - x^18*y*z0^3 - 2*x^18*z0^4 + x^21 + 2*x^19*z0^2 - x^17*y*z0^3 - x^17*z0^4 - 2*x^20 + 2*x^18*y*z0 - 2*x^16*y*z0^3 - 2*x^16*z0^4 + x^19 - x^17*y*z0 + 2*x^17*z0^2 + 2*x^15*y*z0^3 + x^15*z0^4 - x^16*z0^2 - x^17 + x^15*y*z0 - x^15*z0^2 + x^13*y*z0^3 - 2*x^13*z0^4 - x^16 - 2*x^14*z0^2 - x^12*y*z0^3 - x^12*z0^4 - 2*x^13*y*z0 + 2*x^13*z0^2 - 2*x^11*y*z0^3 + x^11*z0^4 - 2*x^10*y*z0^3 - x^10*z0^4 - 2*x^13 - 2*x^11*z0^2 - 2*x^9*y*z0^3 - x^9*z0^4 + x^12 + x^10*y*z0 - x^8*y*z0^3 + 2*x^8*z0^4 + 2*x^11 - x^7*y*z0^3 + x^7*z0^4 + x^10 - 2*x^8*z0^2 - 2*x^6*y*z0^3 + 2*x^6*z0^4 + 2*x^5*z0^4 + x^6*z0^2 + 2*x^7 + 2*x^5*z0^2 + 2*x^3*y*z0^3 + 2*x^3*z0^4 + x^6 + x^4*z0^2 - 2*x^2*y*z0^3 + 2*x^2*z0^4 + x^5 - 2*x^3*y*z0 + 2*x^3*z0^2 - 2*x^2*y*z0 - x^2*z0^2 + 2*x^3)/y) * dx,
+ ((-2*x^60*z0^3 - x^59*z0^3 + 2*x^57*y^2*z0^3 - x^60*z0 - 2*x^58*z0^3 + x^56*y^2*z0^3 + 2*x^59*z0 + x^57*y^2*z0 + x^57*z0^3 + 2*x^55*y^2*z0^3 - 2*x^56*y^2*z0 + x^56*z0^3 + x^54*y^2*z0^3 + x^57*z0 + 2*x^55*z0^3 - 2*x^56*z0 - x^54*z0^3 - x^53*z0^3 - x^54*z0 - 2*x^52*z0^3 + 2*x^53*z0 + x^51*z0^3 + x^50*z0^3 + x^51*z0 + 2*x^49*z0^3 - 2*x^50*z0 - x^48*z0^3 - x^47*z0^3 - x^48*z0 - 2*x^46*z0^3 + 2*x^47*z0 + x^45*z0^3 + x^44*z0^3 + x^45*z0 + 2*x^43*z0^3 - 2*x^44*z0 - x^42*z0^3 - x^41*z0^3 - x^42*z0 + x^40*z0^3 - 2*x^38*y*z0^4 + 2*x^41*z0 + x^39*z0^3 + 2*x^37*y*z0^4 + x^40*z0 - 2*x^38*y*z0^2 - 2*x^36*y*z0^4 - x^39*y - 2*x^37*y*z0^2 + 2*x^37*z0^3 + x^35*y*z0^4 + 2*x^38*y - x^36*y*z0^2 + x^36*z0^3 + x^37*z0 + x^35*z0^3 + x^33*y*z0^4 - x^36*y + x^36*z0 + 2*x^34*y*z0^2 + x^34*z0^3 + 2*x^35*y + 2*x^35*z0 + x^33*y*z0^2 + x^33*z0^3 + x^31*y*z0^4 - 2*x^34*y + 2*x^34*z0 + 2*x^32*y*z0^2 - x^32*z0^3 - 2*x^30*y*z0^4 + 2*x^33*y + x^29*y*z0^4 + 2*x^32*y + 2*x^30*z0^3 + x^28*y*z0^4 + 2*x^31*y + 2*x^31*z0 + x^29*y*z0^2 + 2*x^29*z0^3 - 2*x^27*y*z0^4 - x^30*y - 2*x^30*z0 + 2*x^28*z0^3 + 2*x^26*y*z0^4 + x^29*y + x^29*z0 - 2*x^27*y*z0^2 - x^27*z0^3 - x^25*y*z0^4 - 2*x^28*y - x^26*y*z0^2 + 2*x^26*z0^3 + x^24*y*z0^4 + 2*x^27*y + 2*x^27*z0 + 2*x^25*y*z0^2 + x^25*z0^3 - x^23*y*z0^4 + x^26*y + 2*x^26*z0 + 2*x^24*y*z0^2 + 2*x^24*z0^3 + x^22*y^2*z0^3 + x^22*y*z0^4 + x^25*y - 2*x^23*y*z0^2 + 2*x^23*z0^3 - x^21*y*z0^4 + x^24*y + 2*x^24*z0 + x^22*y*z0^2 - x^22*z0^3 + 2*x^20*y*z0^4 - x^23*y + x^21*z0^3 - x^22*y - x^20*z0^3 + 2*x^18*y*z0^4 - x^21*z0 - x^19*y*z0^2 - 2*x^19*z0^3 + 2*x^17*y*z0^4 - x^20*y + 2*x^20*z0 - 2*x^18*z0^3 + 2*x^16*y*z0^4 - 2*x^19*y + x^17*y*z0^2 + x^17*z0^3 + x^15*y*z0^4 + x^18*y - 2*x^18*z0 + 2*x^14*y*z0^4 - 2*x^17*y - x^17*z0 + 2*x^15*y*z0^2 + 2*x^15*z0^3 - 2*x^13*y*z0^4 + x^16*y + 2*x^16*z0 - x^14*y*z0^2 - x^14*z0^3 - x^12*y*z0^4 - 2*x^15*y - 2*x^13*y*z0^2 + 2*x^12*y*z0^2 + x^12*z0^3 - x^10*y*z0^4 + 2*x^13*y - 2*x^13*z0 + x^11*y*z0^2 + x^11*z0^3 + 2*x^10*y*z0^2 - x^8*y*z0^4 - 2*x^11*y + x^9*y*z0^2 - x^9*z0^3 + x^7*y*z0^4 + 2*x^10*y + 2*x^10*z0 - 2*x^8*y*z0^2 - x^8*z0^3 - 2*x^9*y + x^9*z0 - 2*x^7*z0^3 + x^8*y - x^8*z0 + x^6*z0^3 + x^4*y*z0^4 + 2*x^7*z0 + x^5*y*z0^2 - x^5*z0^3 - 2*x^6*y + 2*x^6*z0 - x^4*y*z0^2 - 2*x^4*z0^3 + x^5*y - 2*x^5*z0 + 2*x^3*z0^3 + x^4*y - x^4*z0 + x^2*y*z0^2 + 2*x^2*z0^3 - x^3*y + 2*x^3*z0 + 2*x^2*y - x^2*z0)/y) * dx,
+ ((-x^60*z0^4 + x^57*y^2*z0^4 + x^60*z0^2 - x^57*y^2*z0^2 + x^57*z0^4 - x^60 + x^57*y^2 - x^57*z0^2 - x^54*z0^4 + x^57 + x^54*z0^2 + x^51*z0^4 - x^54 - x^51*z0^2 - x^48*z0^4 + x^51 + x^48*z0^2 + x^45*z0^4 - x^48 - x^45*z0^2 - x^42*z0^4 + x^45 + x^42*z0^2 + x^40*z0^4 - x^39*z0^4 - x^42 - 2*x^40*z0^2 - x^38*y*z0^3 + 2*x^39*y*z0 - x^39*z0^2 + 2*x^37*y*z0^3 + x^37*z0^4 - x^40 + x^38*y*z0 + 2*x^36*z0^4 + x^39 + x^37*y*z0 - x^37*z0^2 - x^35*y*z0^3 - 2*x^36*y*z0 + x^36*z0^2 + x^34*y*z0^3 + 2*x^34*z0^4 + x^37 + 2*x^35*y*z0 + 2*x^33*z0^4 + 2*x^36 + x^34*y*z0 + x^32*y*z0^3 - 2*x^32*z0^4 + x^35 - 2*x^33*y*z0 + 2*x^33*z0^2 + 2*x^31*y*z0^3 - 2*x^31*z0^4 + 2*x^34 - 2*x^32*y*z0 + x^32*z0^2 + 2*x^30*y*z0^3 + x^30*z0^4 + x^33 - x^31*y*z0 + 2*x^31*z0^2 - 2*x^29*y*z0^3 + x^29*z0^4 - x^32 + x^30*y*z0 + x^28*y*z0^3 - 2*x^28*z0^4 + 2*x^31 + x^29*y*z0 + 2*x^29*z0^2 + 2*x^27*y*z0^3 + x^27*z0^4 + 2*x^30 - x^28*y*z0 - 2*x^26*y*z0^3 + x^26*z0^4 + 2*x^29 - x^27*y*z0 - 2*x^25*y*z0^3 - 2*x^28 - x^26*y*z0 - x^26*z0^2 + 2*x^24*y*z0^3 + 2*x^24*z0^4 + x^22*y^2*z0^4 - 2*x^27 - 2*x^25*y*z0 - x^25*z0^2 + 2*x^23*y*z0^3 + x^23*z0^4 - x^26 + x^24*y*z0 - 2*x^24*z0^2 + x^22*z0^4 + x^25 - x^23*y*z0 - x^23*z0^2 + x^21*y*z0^3 + 2*x^22*z0^2 + 2*x^20*y*z0^3 - 2*x^23 - 2*x^21*y*z0 - x^21*z0^2 - x^19*z0^4 + 2*x^22 + x^20*y*z0 + 2*x^20*z0^2 - 2*x^18*y*z0^3 - x^21 + 2*x^19*y*z0 - 2*x^17*z0^4 + x^20 - x^18*y*z0 - x^18*z0^2 - x^16*y*z0^3 + x^16*z0^4 - 2*x^19 + x^17*y*z0 + x^17*z0^2 - 2*x^15*y*z0^3 + 2*x^15*z0^4 + 2*x^18 + x^16*y*z0 - x^16*z0^2 - 2*x^14*z0^4 + 2*x^17 - 2*x^15*y*z0 - x^15*z0^2 + 2*x^13*y*z0^3 - 2*x^13*z0^4 + x^14*z0^2 - x^12*y*z0^3 - 2*x^12*z0^4 - x^15 + x^13*y*z0 + 2*x^13*z0^2 - 2*x^11*z0^4 - 2*x^14 - x^12*y*z0 + x^12*z0^2 + 2*x^10*y*z0^3 + x^10*z0^4 - 2*x^13 + x^11*y*z0 + 2*x^11*z0^2 + 2*x^9*z0^4 + x^12 - 2*x^10*y*z0 - x^10*z0^2 - 2*x^8*z0^4 + x^9*y*z0 - x^7*y*z0^3 - 2*x^7*z0^4 - x^8*z0^2 + 2*x^6*z0^4 + 2*x^9 - 2*x^7*y*z0 + 2*x^5*y*z0^3 + 2*x^5*z0^4 + x^8 - x^6*y*z0 + x^6*z0^2 - x^4*y*z0^3 - x^4*z0^4 - 2*x^7 + x^5*y*z0 - 2*x^5*z0^2 - 2*x^3*y*z0^3 + x^3*z0^4 + x^6 + x^4*y*z0 - x^4*z0^2 - 2*x^2*z0^4 + 2*x^3*y*z0 - x^3*z0^2 + 2*x^2*y*z0 - x^3 + 2*x^2)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((2*x^61*z0^4 - 2*x^60*z0^4 - 2*x^58*y^2*z0^4 - x^61*z0^2 + 2*x^59*z0^4 + 2*x^57*y^2*z0^4 + 2*x^60*z0^2 + x^58*y^2*z0^2 - 2*x^58*z0^4 - 2*x^56*y^2*z0^4 + 2*x^61 - 2*x^57*y^2*z0^2 + 2*x^57*z0^4 - 2*x^58*y^2 + x^58*z0^2 - 2*x^56*z0^4 - 2*x^57*z0^2 + 2*x^55*z0^4 - 2*x^58 - 2*x^54*z0^4 - x^55*z0^2 + 2*x^53*z0^4 + 2*x^54*z0^2 - 2*x^52*z0^4 + 2*x^55 + 2*x^51*z0^4 + x^52*z0^2 - 2*x^50*z0^4 - 2*x^51*z0^2 + 2*x^49*z0^4 - 2*x^52 - 2*x^48*z0^4 - x^49*z0^2 + 2*x^47*z0^4 + 2*x^48*z0^2 - 2*x^46*z0^4 + 2*x^49 + 2*x^45*z0^4 + x^46*z0^2 - 2*x^44*z0^4 - 2*x^45*z0^2 + 2*x^43*z0^4 - 2*x^46 - 2*x^42*z0^4 - x^43*z0^2 + 2*x^42*z0^2 + x^40*y*z0^3 + 2*x^43 - x^41*z0^2 - x^39*y*z0^3 + 2*x^39*z0^4 + 2*x^40*y*z0 + 2*x^40*z0^2 - 2*x^38*y*z0^3 + x^38*z0^4 - 2*x^41 - x^39*z0^2 + x^37*y*z0^3 - 2*x^37*z0^4 + 2*x^40 - 2*x^38*z0^2 + 2*x^36*y*z0^3 - x^36*z0^4 + x^39 + x^37*y*z0 + x^37*z0^2 + x^35*z0^4 - 2*x^36*y*z0 + x^36*z0^2 + 2*x^34*y*z0^3 - x^37 + 2*x^35*y*z0 - 2*x^35*z0^2 - 2*x^33*y*z0^3 + 2*x^33*z0^4 + 2*x^34*y*z0 + x^32*y*z0^3 + x^32*z0^4 - x^35 - 2*x^33*y*z0 + 2*x^33*z0^2 - x^31*y*z0^3 + 2*x^31*z0^4 - 2*x^34 - 2*x^32*z0^2 - 2*x^30*y*z0^3 + 2*x^30*z0^4 + 2*x^33 - 2*x^29*y*z0^3 - x^29*z0^4 + x^32 - 2*x^30*y*z0 - x^30*z0^2 - x^28*y*z0^3 - x^29*y*z0 + 2*x^29*z0^2 + x^27*y*z0^3 + 2*x^30 - x^28*y*z0 - 2*x^28*z0^2 + 2*x^26*y*z0^3 - x^26*z0^4 - 2*x^27*z0^2 - 2*x^25*y*z0^3 + 2*x^25*z0^4 + 2*x^28 - x^26*z0^2 - x^24*y*z0^3 - x^24*z0^4 + x^27 - 2*x^25*y*z0 - x^23*y*z0^3 - x^23*z0^4 - x^26 - 2*x^24*y*z0 - 2*x^22*y*z0^3 - 2*x^22*z0^4 - 2*x^25 + x^23*y^2 - 2*x^23*y*z0 + x^23*z0^2 + 2*x^21*y*z0^3 - x^21*z0^4 - x^22*y*z0 + x^22*z0^2 - x^20*y*z0^3 - x^20*z0^4 + 2*x^23 + x^21*y*z0 - x^21*z0^2 - x^19*y*z0^3 - 2*x^19*z0^4 + x^22 - 2*x^20*y*z0 - x^20*z0^2 + 2*x^18*z0^4 + x^21 + 2*x^19*z0^2 + x^17*y*z0^3 - x^17*z0^4 - x^20 + 2*x^18*y*z0 - x^18*z0^2 - 2*x^16*z0^4 - 2*x^19 + 2*x^17*y*z0 - x^17*z0^2 - 2*x^15*y*z0^3 - 2*x^15*z0^4 + 2*x^18 - x^16*y*z0 + x^16*z0^2 + 2*x^14*y*z0^3 - x^14*z0^4 + x^17 - 2*x^15*z0^2 - x^13*y*z0^3 + 2*x^13*z0^4 - x^16 - x^14*y*z0 + x^14*z0^2 + 2*x^12*y*z0^3 - x^12*z0^4 - x^15 - 2*x^13*y*z0 - x^13*z0^2 + 2*x^11*z0^4 - 2*x^14 - 2*x^10*y*z0^3 - 2*x^10*z0^4 + x^13 + 2*x^11*y*z0 - 2*x^11*z0^2 + 2*x^9*y*z0^3 + 2*x^9*z0^4 + 2*x^12 - 2*x^10*y*z0 + x^10*z0^2 - x^8*y*z0^3 + 2*x^8*z0^4 + 2*x^11 - 2*x^9*y*z0 - x^7*y*z0^3 + x^7*z0^4 - x^10 + 2*x^8*y*z0 - x^8*z0^2 + x^6*y*z0^3 - x^6*z0^4 + x^9 - x^7*y*z0 + 2*x^7*z0^2 - x^5*y*z0^3 - 2*x^5*z0^4 - x^8 + x^6*y*z0 - 2*x^6*z0^2 + 2*x^4*y*z0^3 + 2*x^4*z0^4 + 2*x^7 + x^5*z0^2 + 2*x^3*y*z0^3 + 2*x^3*z0^4 + x^4*y*z0 - 2*x^4*z0^2 - x^2*y*z0^3 - x^2*z0^4 - 2*x^5 + 2*x^3*z0^2 - 2*x^2*y*z0 + x^2*z0^2 - x^3 + 2*x^2)/y) * dx,
+ ((-2*x^61*z0^3 - 2*x^60*z0^3 + 2*x^58*y^2*z0^3 - 2*x^61*z0 + 2*x^57*y^2*z0^3 + x^60*z0 + 2*x^58*y^2*z0 + x^58*z0^3 + 2*x^59*z0 - x^57*y^2*z0 - x^57*z0^3 + x^55*y^2*z0^3 + 2*x^58*z0 - 2*x^56*y^2*z0 - 2*x^54*y^2*z0^3 - x^57*z0 - x^55*z0^3 - 2*x^56*z0 + x^54*z0^3 - 2*x^55*z0 + x^54*z0 + x^52*z0^3 + 2*x^53*z0 - x^51*z0^3 + 2*x^52*z0 - x^51*z0 - x^49*z0^3 - 2*x^50*z0 + x^48*z0^3 - 2*x^49*z0 + x^48*z0 + x^46*z0^3 + 2*x^47*z0 - x^45*z0^3 + 2*x^46*z0 - x^45*z0 - x^43*z0^3 - 2*x^44*z0 + x^42*z0^3 - 2*x^43*z0 - 2*x^41*z0^3 - 2*x^39*y*z0^4 + x^42*z0 - x^40*y*z0^2 + 2*x^40*z0^3 + x^38*y*z0^4 - 2*x^39*y*z0^2 - 2*x^39*z0^3 - 2*x^37*y*z0^4 - x^40*y + x^40*z0 + x^38*y*z0^2 + x^38*z0^3 - x^36*y*z0^4 + 2*x^39*y - 2*x^37*y*z0^2 - 2*x^37*z0^3 - x^35*y*z0^4 - x^38*y + x^38*z0 - 2*x^36*y*z0^2 + 2*x^36*z0^3 + x^34*y*z0^4 - 2*x^37*y - 2*x^37*z0 - x^35*y*z0^2 - 2*x^35*z0^3 + x^33*y*z0^4 - x^36*y + x^36*z0 - x^34*y*z0^2 + x^34*z0^3 - 2*x^35*y - x^35*z0 + x^33*y*z0^2 - 2*x^33*z0^3 + x^31*y*z0^4 + 2*x^34*y + x^34*z0 + x^32*y*z0^2 + 2*x^32*z0^3 + x^33*y + 2*x^33*z0 - x^31*y*z0^2 + 2*x^29*y*z0^4 + 2*x^32*y + 2*x^32*z0 - 2*x^30*z0^3 + x^31*y + 2*x^31*z0 - x^29*y*z0^2 + x^29*z0^3 - x^30*y + 2*x^28*y*z0^2 - 2*x^26*y*z0^4 + 2*x^29*y - 2*x^27*y*z0^2 - 2*x^27*z0^3 - 2*x^25*y*z0^4 + 2*x^28*y + x^28*z0 + x^26*z0^3 + 2*x^24*y*z0^4 + 2*x^27*y + x^27*z0 - 2*x^25*y*z0^2 + x^25*z0^3 - x^26*y - 2*x^26*z0 + x^24*y*z0^2 - x^25*y + x^23*y^2*z0 + 2*x^23*y*z0^2 - 2*x^23*z0^3 - 2*x^21*y*z0^4 - x^22*y*z0^2 + x^22*z0^3 - x^23*y - 2*x^23*z0 + 2*x^21*y*z0^2 + x^21*z0^3 + 2*x^19*y*z0^4 - 2*x^22*y + 2*x^20*y*z0^2 - 2*x^20*z0^3 - 2*x^21*y + x^19*y*z0^2 - x^19*z0^3 - 2*x^20*y + x^18*y*z0^2 - 2*x^18*z0^3 + x^19*y - x^19*z0 + x^17*z0^3 - 2*x^15*y*z0^4 + x^18*y + x^16*y*z0^2 + x^16*z0^3 + x^14*y*z0^4 + 2*x^17*y + 2*x^17*z0 - 2*x^15*y*z0^2 - x^15*z0^3 + x^16*y - 2*x^14*y*z0^2 - 2*x^12*y*z0^4 - 2*x^15*z0 - 2*x^13*y*z0^2 + 2*x^13*z0^3 + x^11*y*z0^4 - 2*x^14*y + 2*x^14*z0 + x^12*y*z0^2 - 2*x^12*z0^3 + 2*x^10*y*z0^4 + x^13*y + 2*x^13*z0 + x^11*y*z0^2 + 2*x^11*z0^3 - 2*x^9*y*z0^4 + 2*x^10*y*z0^2 + 2*x^9*y*z0^2 + x^9*z0^3 - x^8*y*z0^2 - 2*x^8*z0^3 + x^6*y*z0^4 + x^9*z0 - 2*x^7*y*z0^2 - x^7*z0^3 - 2*x^5*y*z0^4 - x^8*y - 2*x^8*z0 + x^6*y*z0^2 - x^6*z0^3 + 2*x^4*y*z0^4 + 2*x^7*z0 + x^3*y*z0^4 - 2*x^6*y + 2*x^6*z0 + 2*x^4*z0^3 - 2*x^5*y + 2*x^5*z0 - x^3*z0^3 - 2*x^4*z0 - 2*x^2*y*z0^2 + 2*x^2*z0^3 - 2*x^3*y + x^3*z0 - 2*x^2*y + x^2*z0)/y) * dx,
+ ((2*x^61*z0^4 - x^60*z0^4 - 2*x^58*y^2*z0^4 + 2*x^61*z0^2 - x^59*z0^4 + x^57*y^2*z0^4 + x^60*z0^2 - 2*x^58*y^2*z0^2 - 2*x^58*z0^4 + x^56*y^2*z0^4 + x^61 - x^57*y^2*z0^2 + x^57*z0^4 - 2*x^60 - x^58*y^2 - 2*x^58*z0^2 + x^56*z0^4 + 2*x^57*y^2 - x^57*z0^2 + 2*x^55*z0^4 - x^58 - x^54*z0^4 + 2*x^57 + 2*x^55*z0^2 - x^53*z0^4 + x^54*z0^2 - 2*x^52*z0^4 + x^55 + x^51*z0^4 - 2*x^54 - 2*x^52*z0^2 + x^50*z0^4 - x^51*z0^2 + 2*x^49*z0^4 - x^52 - x^48*z0^4 + 2*x^51 + 2*x^49*z0^2 - x^47*z0^4 + x^48*z0^2 - 2*x^46*z0^4 + x^49 + x^45*z0^4 - 2*x^48 - 2*x^46*z0^2 + x^44*z0^4 - x^45*z0^2 + 2*x^43*z0^4 - x^46 - x^42*z0^4 + 2*x^45 + 2*x^43*z0^2 - x^41*z0^4 + x^42*z0^2 + x^40*y*z0^3 + 2*x^40*z0^4 + x^43 + 2*x^41*z0^2 + 2*x^39*y*z0^3 + 2*x^39*z0^4 - 2*x^42 + x^40*y*z0 + x^38*y*z0^3 + 2*x^39*y*z0 + 2*x^39*z0^2 + x^37*y*z0^3 + x^37*z0^4 + 2*x^40 - x^38*y*z0 - x^38*z0^2 + x^36*y*z0^3 + 2*x^36*z0^4 - 2*x^39 - 2*x^37*y*z0 - x^37*z0^2 + 2*x^35*y*z0^3 - 2*x^38 + x^36*y*z0 - 2*x^36*z0^2 + x^34*y*z0^3 - x^37 + x^35*y*z0 + x^33*y*z0^3 + x^34*y*z0 - x^34*z0^2 + x^32*y*z0^3 - x^32*z0^4 + x^35 - x^33*y*z0 - x^33*z0^2 + x^31*y*z0^3 - x^34 + x^32*y*z0 - x^32*z0^2 + x^30*y*z0^3 + 2*x^33 + 2*x^31*y*z0 + 2*x^31*z0^2 + x^29*z0^4 + 2*x^32 + 2*x^30*y*z0 + x^30*z0^2 + x^28*z0^4 - x^29*z0^2 - 2*x^27*y*z0^3 + x^27*z0^4 - x^30 - 2*x^28*y*z0 + 2*x^28*z0^2 + x^26*y*z0^3 + 2*x^29 - x^27*y*z0 - x^27*z0^2 - 2*x^25*y*z0^3 - x^25*z0^4 - x^28 + 2*x^26*y*z0 - x^26*z0^2 + 2*x^24*y*z0^3 + x^24*z0^4 + x^27 - x^25*y*z0 + 2*x^25*z0^2 + x^23*y^2*z0^2 + 2*x^23*y*z0^3 - 2*x^24*y*z0 + x^24*z0^2 + x^22*y*z0^3 + x^22*z0^4 - x^25 - 2*x^23*y*z0 + 2*x^23*z0^2 - 2*x^21*y*z0^3 + 2*x^21*z0^4 + 2*x^24 + 2*x^22*y*z0 - x^20*y*z0^3 - x^20*z0^4 + 2*x^21*y*z0 + x^21*z0^2 + 2*x^19*z0^4 - x^22 - 2*x^18*y*z0^3 + x^21 - 2*x^19*y*z0 - x^19*z0^2 - x^17*y*z0^3 - 2*x^17*z0^4 + 2*x^18*z0^2 - 2*x^16*y*z0^3 - 2*x^16*z0^4 + 2*x^19 + x^17*z0^2 - x^15*y*z0^3 + 2*x^18 - 2*x^16*y*z0 - x^16*z0^2 + 2*x^14*y*z0^3 - 2*x^17 - x^15*z0^2 - 2*x^14*y*z0 + x^14*z0^2 - 2*x^12*y*z0^3 - 2*x^15 + 2*x^13*z0^2 - 2*x^11*y*z0^3 + 2*x^11*z0^4 + 2*x^14 + 2*x^12*y*z0 - 2*x^10*y*z0^3 - 2*x^13 + 2*x^11*y*z0 + 2*x^11*z0^2 + 2*x^9*y*z0^3 + x^9*z0^4 - 2*x^12 + x^9*y*z0 + x^9*z0^2 + x^7*z0^4 + x^10 - 2*x^8*y*z0 - x^6*y*z0^3 + x^6*z0^4 + 2*x^9 + x^7*y*z0 - 2*x^7*z0^2 - x^5*y*z0^3 + x^5*z0^4 + x^6*y*z0 - x^6*z0^2 - x^4*y*z0^3 - 2*x^7 + x^5*y*z0 - x^3*y*z0^3 + x^6 + x^4*y*z0 + x^4*z0^2 - x^2*y*z0^3 - 2*x^2*z0^4 - 2*x^5 - x^3*y*z0 - x^3*z0^2 + x^2*z0^2 - x^3 + 2*x^2)/y) * dx,
+ ((x^61*z0^3 - x^58*y^2*z0^3 - x^61*z0 + x^59*z0^3 + x^58*y^2*z0 - x^56*y^2*z0^3 - 2*x^59*z0 + x^57*z0^3 - x^55*y^2*z0^3 + x^58*z0 + 2*x^56*y^2*z0 - x^56*z0^3 - x^54*y^2*z0^3 + 2*x^56*z0 - x^54*z0^3 - x^55*z0 + x^53*z0^3 - 2*x^53*z0 + x^51*z0^3 + x^52*z0 - x^50*z0^3 + 2*x^50*z0 - x^48*z0^3 - x^49*z0 + x^47*z0^3 - 2*x^47*z0 + x^45*z0^3 + x^46*z0 - x^44*z0^3 + 2*x^44*z0 - x^42*z0^3 - x^43*z0 + 2*x^41*z0^3 + x^39*y*z0^4 - 2*x^40*y*z0^2 + 2*x^40*z0^3 + x^38*y*z0^4 + 2*x^41*z0 - x^39*y*z0^2 + 2*x^37*y*z0^4 + 2*x^40*y - 2*x^40*z0 - 2*x^38*y*z0^2 + 2*x^38*z0^3 + x^39*y + 2*x^39*z0 - 2*x^37*y*z0^2 + x^37*z0^3 - x^35*y*z0^4 + 2*x^38*y - 2*x^38*z0 - 2*x^36*y*z0^2 - 2*x^36*z0^3 - 2*x^34*y*z0^4 - x^37*y + x^37*z0 - x^35*y*z0^2 - x^33*y*z0^4 + 2*x^36*z0 + 2*x^34*y*z0^2 - x^34*z0^3 - 2*x^32*y*z0^4 - 2*x^33*z0^3 + 2*x^31*y*z0^4 - 2*x^34*y + x^34*z0 - 2*x^32*y*z0^2 - 2*x^32*z0^3 + 2*x^33*y + 2*x^33*z0 + x^31*y*z0^2 + 2*x^31*z0^3 + 2*x^29*y*z0^4 - x^32*y - 2*x^32*z0 - 2*x^30*y*z0^2 + 2*x^30*z0^3 - 2*x^28*y*z0^4 - 2*x^31*y + 2*x^31*z0 + 2*x^29*y*z0^2 - x^29*z0^3 - x^30*y - x^28*y*z0^2 + x^28*z0^3 + x^26*y*z0^4 + 2*x^29*y + 2*x^29*z0 + x^27*y*z0^2 + x^27*z0^3 + x^25*y*z0^4 - 2*x^28*z0 - x^26*y*z0^2 - 2*x^27*y + 2*x^25*z0^3 + x^23*y^2*z0^3 - x^23*y*z0^4 - x^26*z0 + x^24*y*z0^2 - 2*x^24*z0^3 - x^22*y*z0^4 + 2*x^25*y - 2*x^23*y*z0^2 + 2*x^21*y*z0^4 - x^24*y + x^24*z0 - 2*x^22*y*z0^2 - x^22*z0^3 - 2*x^20*y*z0^4 + 2*x^23*y + x^23*z0 - x^21*y*z0^2 - 2*x^21*z0^3 - x^22*y + 2*x^22*z0 + x^20*y*z0^2 + 2*x^18*y*z0^4 + 2*x^21*y + x^21*z0 + 2*x^19*y*z0^2 - 2*x^19*z0^3 - 2*x^17*y*z0^4 - 2*x^20*z0 - x^18*y*z0^2 - 2*x^18*z0^3 + 2*x^19*y + 2*x^19*z0 - 2*x^17*z0^3 - x^15*y*z0^4 - 2*x^18*y + x^16*y*z0^2 - 2*x^16*z0^3 + 2*x^14*y*z0^4 + x^17*y + 2*x^17*z0 + 2*x^15*y*z0^2 - x^15*z0^3 - x^13*y*z0^4 + x^16*y - 2*x^16*z0 - 2*x^14*y*z0^2 - x^12*y*z0^4 + x^15*y - x^15*z0 - x^13*y*z0^2 - x^13*z0^3 + 2*x^11*y*z0^4 + 2*x^14*y + 2*x^14*z0 + x^10*y*z0^4 + x^13*y + x^13*z0 + x^11*y*z0^2 + 2*x^11*z0^3 + x^9*y*z0^4 - 2*x^12*y + 2*x^10*y*z0^2 + x^10*z0^3 - x^8*y*z0^4 + x^11*y + x^9*y*z0^2 + x^9*z0^3 - 2*x^7*y*z0^4 + x^10*y - x^10*z0 - 2*x^8*y*z0^2 + 2*x^9*y - 2*x^7*y*z0^2 + x^5*y*z0^4 - x^8*y + 2*x^8*z0 - x^6*y*z0^2 - 2*x^6*z0^3 - x^4*y*z0^4 + x^7*y - x^5*y*z0^2 - x^5*z0^3 + x^6*y - x^6*z0 + 2*x^4*y*z0^2 + 2*x^4*z0^3 - x^2*y*z0^4 + x^3*z0^3 + x^4*z0 + 2*x^2*y*z0^2 + x^3*y + x^2*y + 2*x^2*z0)/y) * dx,
+ ((x^60*z0^4 + x^61*z0^2 - x^59*z0^4 - x^57*y^2*z0^4 + x^60*z0^2 - x^58*y^2*z0^2 + x^56*y^2*z0^4 + x^61 - x^57*y^2*z0^2 - x^57*z0^4 - x^60 - x^58*y^2 - x^58*z0^2 + x^56*z0^4 + x^57*y^2 - x^57*z0^2 - x^58 + x^54*z0^4 + x^57 + x^55*z0^2 - x^53*z0^4 + x^54*z0^2 + x^55 - x^51*z0^4 - x^54 - x^52*z0^2 + x^50*z0^4 - x^51*z0^2 - x^52 + x^48*z0^4 + x^51 + x^49*z0^2 - x^47*z0^4 + x^48*z0^2 + x^49 - x^45*z0^4 - x^48 - x^46*z0^2 + x^44*z0^4 - x^45*z0^2 - x^46 + x^42*z0^4 + x^45 + x^43*z0^2 + 2*x^41*z0^4 + x^42*z0^2 + x^40*z0^4 + x^43 + x^41*z0^2 + x^39*y*z0^3 - x^39*z0^4 - x^42 - 2*x^40*y*z0 - 2*x^40*z0^2 - 2*x^38*y*z0^3 + x^38*z0^4 - 2*x^41 - x^39*y*z0 - 2*x^39*z0^2 + x^37*y*z0^3 + x^37*z0^4 - x^40 + 2*x^38*y*z0 + 2*x^38*z0^2 - 2*x^36*y*z0^3 - x^36*z0^4 - 2*x^39 + 2*x^37*y*z0 - x^37*z0^2 + x^35*y*z0^3 + 2*x^35*z0^4 - x^38 - 2*x^36*y*z0 + 2*x^36*z0^2 + x^34*y*z0^3 + x^34*z0^4 + 2*x^37 + x^35*z0^2 - 2*x^33*y*z0^3 + x^33*z0^4 - 2*x^36 - 2*x^34*y*z0 + 2*x^34*z0^2 - 2*x^32*y*z0^3 + 2*x^32*z0^4 + 2*x^35 - x^33*y*z0 - x^33*z0^2 + 2*x^31*y*z0^3 + x^31*z0^4 + x^32*y*z0 - x^32*z0^2 - 2*x^30*y*z0^3 - x^30*z0^4 - 2*x^33 + x^31*y*z0 - 2*x^31*z0^2 - 2*x^29*y*z0^3 + x^29*z0^4 + x^30*y*z0 - x^30*z0^2 - x^28*z0^4 - 2*x^31 + 2*x^29*y*z0 + 2*x^29*z0^2 - 2*x^27*y*z0^3 - 2*x^27*z0^4 + 2*x^30 + 2*x^28*y*z0 - x^28*z0^2 + 2*x^26*z0^4 + 2*x^29 + x^27*y*z0 + 2*x^27*z0^2 - 2*x^25*y*z0^3 + x^23*y^2*z0^4 - x^28 + x^26*y*z0 + 2*x^26*z0^2 + 2*x^24*y*z0^3 + 2*x^24*z0^4 - 2*x^27 - x^25*y*z0 + x^25*z0^2 - 2*x^23*y*z0^3 + 2*x^23*z0^4 + x^26 - x^24*y*z0 + x^24*z0^2 + 2*x^22*y*z0^3 - 2*x^22*z0^4 + 2*x^25 - x^23*y*z0 - x^23*z0^2 - x^21*y*z0^3 - 2*x^21*z0^4 + 2*x^24 + x^22*y*z0 + 2*x^22*z0^2 + x^20*y*z0^3 - 2*x^20*z0^4 + 2*x^21*y*z0 - 2*x^21*z0^2 - 2*x^19*y*z0^3 + x^22 - x^20*y*z0 + 2*x^20*z0^2 + 2*x^18*z0^4 + x^21 + x^19*y*z0 - 2*x^18*y*z0 + x^18*z0^2 - 2*x^16*y*z0^3 + 2*x^16*z0^4 - x^19 - x^17*y*z0 - x^17*z0^2 + 2*x^15*z0^4 - x^18 + 2*x^16*y*z0 - x^16*z0^2 + x^14*y*z0^3 - 2*x^17 + 2*x^15*y*z0 + x^15*z0^2 + x^13*y*z0^3 - x^13*z0^4 + 2*x^16 + x^12*y*z0^3 - x^12*z0^4 + 2*x^15 + x^13*y*z0 - x^11*y*z0^3 - 2*x^11*z0^4 - 2*x^14 + x^12*y*z0 - x^10*z0^4 + x^13 + 2*x^11*y*z0 + x^11*z0^2 - x^9*y*z0^3 - 2*x^9*z0^4 - x^12 + 2*x^10*y*z0 - 2*x^8*z0^4 - 2*x^11 + x^9*y*z0 - x^9*z0^2 + x^7*y*z0^3 - 2*x^7*z0^4 - x^10 + x^8*z0^2 + x^6*y*z0^3 + x^6*z0^4 + x^9 - 2*x^7*y*z0 + 2*x^7*z0^2 - x^5*y*z0^3 - 2*x^5*z0^4 + 2*x^8 - x^6*z0^2 + 2*x^4*y*z0^3 - 2*x^4*z0^4 - 2*x^7 - 2*x^5*y*z0 + 2*x^3*y*z0^3 - x^3*z0^4 - 2*x^6 - 2*x^4*z0^2 - 2*x^2*y*z0^3 + x^2*z0^4 - x^5 - x^3*y*z0 - 2*x^3*z0^2 - 2*x^2*z0^2 + 2*x^3 + x^2)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-2*x^61*z0^4 - x^60*z0^4 + 2*x^58*y^2*z0^4 - 2*x^61*z0^2 + x^57*y^2*z0^4 + 2*x^58*y^2*z0^2 + 2*x^58*z0^4 + x^61 + x^57*z0^4 + 2*x^60 - x^58*y^2 + 2*x^58*z0^2 - 2*x^57*y^2 - 2*x^55*z0^4 - x^58 - x^54*z0^4 - 2*x^57 - 2*x^55*z0^2 + 2*x^52*z0^4 + x^55 + x^51*z0^4 + 2*x^54 + 2*x^52*z0^2 - 2*x^49*z0^4 - x^52 - x^48*z0^4 - 2*x^51 - 2*x^49*z0^2 + 2*x^46*z0^4 + x^49 + x^45*z0^4 + 2*x^48 + 2*x^46*z0^2 - 2*x^43*z0^4 - x^46 - x^42*z0^4 - 2*x^45 - 2*x^43*z0^2 + x^41*z0^4 - x^40*y*z0^3 + 2*x^40*z0^4 + x^43 - 2*x^41*z0^2 - 2*x^39*y*z0^3 + x^39*z0^4 + 2*x^42 - x^40*y*z0 + 2*x^40*z0^2 - x^38*y*z0^3 + 2*x^38*z0^4 + x^41 - x^39*y*z0 + 2*x^39*z0^2 + 2*x^37*y*z0^3 - x^37*z0^4 + x^40 + x^38*y*z0 + x^38*z0^2 - x^36*y*z0^3 + 2*x^36*z0^4 + x^39 + 2*x^37*y*z0 - 2*x^37*z0^2 - 2*x^35*y*z0^3 + x^35*z0^4 + 2*x^38 - x^36*y*z0 - 2*x^36*z0^2 + 2*x^34*z0^4 + x^37 + 2*x^35*z0^2 - x^33*y*z0^3 - x^34*y*z0 - x^34*z0^2 - x^32*y*z0^3 + x^32*z0^4 - x^35 - 2*x^33*y*z0 - x^31*z0^4 - x^32*y*z0 - x^32*z0^2 - x^30*z0^4 - 2*x^33 - x^31*y*z0 - x^31*z0^2 + x^29*y*z0^3 + x^29*z0^4 - 2*x^32 + x^30*y*z0 + x^28*y*z0^3 - x^28*z0^4 - x^31 + x^29*z0^2 + 2*x^27*y*z0^3 + 2*x^30 - x^28*y*z0 - x^28*z0^2 - x^26*y*z0^3 - 2*x^29 + 2*x^27*y*z0 + x^27*z0^2 - 2*x^25*y*z0^3 - x^25*z0^4 + x^28 + x^26*z0^2 - x^27 - x^25*y*z0 - 2*x^25*z0^2 - 2*x^23*y*z0^3 - 2*x^23*z0^4 - x^26 + x^24*y^2 + 2*x^24*y*z0 + 2*x^24*z0^2 + 2*x^22*y*z0^3 + x^22*z0^4 - 2*x^25 - 2*x^23*y*z0 + x^23*z0^2 + 2*x^24 + x^22*y*z0 - x^22*z0^2 - x^20*y*z0^3 - x^20*z0^4 - 2*x^23 + 2*x^21*z0^2 + x^19*y*z0^3 + 2*x^19*z0^4 + x^22 + 2*x^20*y*z0 - 2*x^20*z0^2 + 2*x^18*y*z0^3 - x^18*z0^4 + 2*x^21 + 2*x^19*z0^2 + 2*x^17*y*z0^3 + 2*x^17*z0^4 - 2*x^20 + x^18*y*z0 + 2*x^16*y*z0^3 + x^16*z0^4 - 2*x^19 + x^17*y*z0 + x^17*z0^2 + 2*x^15*y*z0^3 - 2*x^15*z0^4 + 2*x^18 - 2*x^16*y*z0 - x^14*y*z0^3 + x^17 + x^15*y*z0 - x^15*z0^2 - 2*x^13*y*z0^3 - x^13*z0^4 + 2*x^16 - x^14*y*z0 - x^14*z0^2 - 2*x^12*y*z0^3 + 2*x^12*z0^4 + x^13*y*z0 - x^13*z0^2 - 2*x^11*y*z0^3 + 2*x^11*z0^4 - 2*x^14 + x^12*y*z0 + x^12*z0^2 - x^10*z0^4 + 2*x^13 + x^11*y*z0 - 2*x^9*y*z0^3 + 2*x^9*z0^4 - 2*x^12 + 2*x^8*z0^4 + x^11 + 2*x^9*y*z0 + 2*x^9*z0^2 + 2*x^7*y*z0^3 + 2*x^7*z0^4 + 2*x^10 - 2*x^8*y*z0 + x^8*z0^2 - x^6*z0^4 + 2*x^7*y*z0 + 2*x^7*z0^2 - x^5*y*z0^3 - x^5*z0^4 + x^6*y*z0 + x^4*y*z0^3 + x^4*z0^4 - 2*x^7 - 2*x^5*y*z0 + 2*x^3*y*z0^3 + 2*x^3*z0^4 + x^6 + x^4*y*z0 + 2*x^4*z0^2 - x^2*y*z0^3 - x^2*z0^4 - x^5 + 2*x^3*y*z0 + 2*x^3*z0^2 + x^2*y*z0 - 2*x^2*z0^2 + 2*x^2)/y) * dx,
+ ((-x^61*z0^3 + 2*x^60*z0^3 + x^58*y^2*z0^3 + x^61*z0 - 2*x^59*z0^3 - 2*x^57*y^2*z0^3 + x^60*z0 - x^58*y^2*z0 - 2*x^58*z0^3 + 2*x^56*y^2*z0^3 - x^57*y^2*z0 - 2*x^55*y^2*z0^3 - x^58*z0 + 2*x^56*z0^3 - 2*x^54*y^2*z0^3 - x^57*z0 + 2*x^55*z0^3 + x^55*z0 - 2*x^53*z0^3 + x^54*z0 - 2*x^52*z0^3 - x^52*z0 + 2*x^50*z0^3 - x^51*z0 + 2*x^49*z0^3 + x^49*z0 - 2*x^47*z0^3 + x^48*z0 - 2*x^46*z0^3 - x^46*z0 + 2*x^44*z0^3 - x^45*z0 + 2*x^43*z0^3 + x^43*z0 + 2*x^41*z0^3 - x^39*y*z0^4 + x^42*z0 + 2*x^40*y*z0^2 - 2*x^40*z0^3 + x^38*y*z0^4 + x^41*z0 + x^39*y*z0^2 + 2*x^39*z0^3 + 2*x^37*y*z0^4 - 2*x^40*y + x^40*z0 - x^38*y*z0^2 - 2*x^38*z0^3 - 2*x^36*y*z0^4 - 2*x^39*z0 + x^37*y*z0^2 - x^37*z0^3 + x^35*y*z0^4 - x^38*y + 2*x^38*z0 - 2*x^36*y*z0^2 + 2*x^36*z0^3 + 2*x^34*y*z0^4 + x^37*y - x^37*z0 + 2*x^35*y*z0^2 - 2*x^33*y*z0^4 + 2*x^36*z0 + x^34*y*z0^2 + x^34*z0^3 - 2*x^32*y*z0^4 - 2*x^35*z0 - 2*x^33*y*z0^2 + 2*x^33*z0^3 + 2*x^31*y*z0^4 + x^34*z0 + 2*x^32*y*z0^2 - x^32*z0^3 + 2*x^30*y*z0^4 - 2*x^33*y + x^33*z0 + 2*x^31*y*z0^2 + x^31*z0^3 + x^29*y*z0^4 + 2*x^32*y + x^32*z0 - x^30*y*z0^2 - 2*x^30*z0^3 - x^28*y*z0^4 + x^31*z0 + x^29*y*z0^2 - x^29*z0^3 - x^27*y*z0^4 + x^30*y - 2*x^28*y*z0^2 - 2*x^28*z0^3 - 2*x^26*y*z0^4 - 2*x^29*y - 2*x^29*z0 - x^27*z0^3 - x^28*y - 2*x^28*z0 + 2*x^26*y*z0^2 + x^24*y*z0^4 - 2*x^27*y - x^25*z0^3 + x^23*y*z0^4 + 2*x^26*z0 + x^24*y^2*z0 + 2*x^24*y*z0^2 - 2*x^24*z0^3 + 2*x^22*y*z0^4 - x^25*y + 2*x^25*z0 + x^23*y*z0^2 - x^23*z0^3 + x^21*y*z0^4 + 2*x^24*y - x^24*z0 - 2*x^22*y*z0^2 - 2*x^22*z0^3 - x^20*y*z0^4 + x^23*y - x^23*z0 + 2*x^21*y*z0^2 + 2*x^21*z0^3 + x^22*y + x^22*z0 + x^20*y*z0^2 - x^19*z0^3 - 2*x^17*y*z0^4 + x^20*z0 + x^18*y*z0^2 - x^18*z0^3 - 2*x^16*y*z0^4 + x^19*y - x^17*y*z0^2 - 2*x^17*z0^3 + 2*x^15*y*z0^4 - x^18*y - 2*x^18*z0 + 2*x^16*y*z0^2 + 2*x^16*z0^3 + 2*x^14*y*z0^4 + x^17*y - x^17*z0 + x^15*y*z0^2 - 2*x^15*z0^3 - x^16*y + 2*x^16*z0 + 2*x^14*y*z0^2 - 2*x^14*z0^3 + 2*x^15*y + x^15*z0 - 2*x^13*z0^3 - 2*x^11*y*z0^4 + 2*x^14*y - 2*x^12*y*z0^2 + x^13*z0 + 2*x^11*y*z0^2 - 2*x^11*z0^3 + x^9*y*z0^4 - 2*x^12*y + 2*x^10*y*z0^2 - x^10*z0^3 + 2*x^8*y*z0^4 - x^11*y - x^9*y*z0^2 - 2*x^9*z0^3 + x^7*y*z0^4 + 2*x^10*y + x^10*z0 - 2*x^8*y*z0^2 - 2*x^8*z0^3 + x^6*y*z0^4 + x^9*y + x^7*y*z0^2 + 2*x^5*y*z0^4 - x^8*z0 - x^6*y*z0^2 - 2*x^6*z0^3 - x^7*y + 2*x^7*z0 + 2*x^5*z0^3 - 2*x^3*y*z0^4 - x^6*y - x^6*z0 + 2*x^2*y*z0^4 + x^5*y + x^5*z0 - x^3*y*z0^2 + 2*x^3*z0^3 - x^4*y - 2*x^2*z0^3 + x^3*z0 + 2*x^2*y)/y) * dx,
+ ((x^61*z0^4 - x^58*y^2*z0^4 - x^59*z0^4 - 2*x^60*z0^2 - x^58*z0^4 + x^56*y^2*z0^4 - 2*x^61 + 2*x^57*y^2*z0^2 + x^60 + 2*x^58*y^2 + x^56*z0^4 - x^57*y^2 + 2*x^57*z0^2 + x^55*z0^4 + 2*x^58 - x^57 - x^53*z0^4 - 2*x^54*z0^2 - x^52*z0^4 - 2*x^55 + x^54 + x^50*z0^4 + 2*x^51*z0^2 + x^49*z0^4 + 2*x^52 - x^51 - x^47*z0^4 - 2*x^48*z0^2 - x^46*z0^4 - 2*x^49 + x^48 + x^44*z0^4 + 2*x^45*z0^2 + x^43*z0^4 + 2*x^46 - x^45 - x^41*z0^4 - 2*x^42*z0^2 - 2*x^40*y*z0^3 + x^40*z0^4 - 2*x^43 + x^39*z0^4 + x^42 + 2*x^40*z0^2 - x^38*y*z0^3 + 2*x^39*z0^2 - 2*x^37*y*z0^3 - 2*x^37*z0^4 + 2*x^40 + x^38*y*z0 - 2*x^39 + 2*x^37*y*z0 - x^37*z0^2 + x^35*y*z0^3 - 2*x^38 - 2*x^36*y*z0 - 2*x^36*z0^2 - 2*x^34*y*z0^3 - x^35*y*z0 - 2*x^35*z0^2 + 2*x^33*y*z0^3 - x^33*z0^4 - x^36 + 2*x^34*y*z0 + 2*x^34*z0^2 - x^32*z0^4 + 2*x^35 - 2*x^33*y*z0 - x^33*z0^2 - 2*x^31*y*z0^3 - 2*x^31*z0^4 - x^32*y*z0 - 2*x^32*z0^2 - 2*x^30*y*z0^3 - 2*x^33 + x^31*y*z0 - 2*x^29*y*z0^3 + x^29*z0^4 + 2*x^30*y*z0 + 2*x^30*z0^2 - x^28*y*z0^3 - x^28*z0^4 + 2*x^31 - x^29*y*z0 + 2*x^27*y*z0^3 - x^30 + 2*x^28*y*z0 - 2*x^26*y*z0^3 + x^29 + 2*x^27*y*z0 + x^27*z0^2 - 2*x^25*y*z0^3 + 2*x^25*z0^4 - 2*x^28 - 2*x^26*y*z0 - 2*x^26*z0^2 + x^24*y^2*z0^2 + x^24*y*z0^3 - 2*x^24*z0^4 - x^27 + 2*x^25*y*z0 - 2*x^25*z0^2 + 2*x^23*y*z0^3 - 2*x^23*z0^4 - x^26 + x^24*y*z0 + x^24*z0^2 - x^22*y*z0^3 + x^23*y*z0 + x^23*z0^2 + x^21*y*z0^3 - x^21*z0^4 + 2*x^24 - 2*x^22*y*z0 - 2*x^22*z0^2 - x^20*y*z0^3 - x^20*z0^4 + 2*x^23 - x^21*y*z0 + x^21*z0^2 + x^19*z0^4 + 2*x^22 + x^20*y*z0 + 2*x^20*z0^2 - x^19*y*z0 - x^17*z0^4 - x^18*z0^2 + 2*x^16*y*z0^3 - 2*x^16*z0^4 - x^19 + 2*x^17*y*z0 - x^17*z0^2 + x^15*y*z0^3 + 2*x^18 - x^16*y*z0 + 2*x^14*z0^4 + 2*x^17 - x^15*y*z0 + x^13*y*z0^3 - 2*x^14*y*z0 - x^14*z0^2 - 2*x^12*y*z0^3 + 2*x^15 + 2*x^13*y*z0 - x^13*z0^2 + 2*x^11*y*z0^3 + x^11*z0^4 - 2*x^14 + x^12*y*z0 - x^12*z0^2 + 2*x^10*z0^4 + 2*x^13 - 2*x^11*y*z0 - x^9*y*z0^3 + x^9*z0^4 + x^12 - x^10*y*z0 + 2*x^10*z0^2 - x^8*y*z0^3 - 2*x^11 + x^9*z0^2 + x^7*y*z0^3 - 2*x^7*z0^4 - x^10 + x^8*y*z0 - x^8*z0^2 + 2*x^6*y*z0^3 - 2*x^9 + 2*x^7*y*z0 + x^7*z0^2 + 2*x^5*y*z0^3 - x^5*z0^4 - x^8 + 2*x^6*y*z0 - 2*x^6*z0^2 + 2*x^4*y*z0^3 + x^4*z0^4 - 2*x^7 + 2*x^5*y*z0 + x^5*z0^2 + x^3*y*z0^3 + x^3*z0^4 + 2*x^6 - 2*x^4*z0^2 - x^2*y*z0^3 - x^2*z0^4 + x^5 - 2*x^3*y*z0 + x^3*z0^2 - x^2*y*z0 + x^2*z0^2 - x^3 - x^2)/y) * dx,
+ ((-2*x^61*z0^3 + x^60*z0^3 + 2*x^58*y^2*z0^3 + x^61*z0 - 2*x^59*z0^3 - x^57*y^2*z0^3 + x^60*z0 - x^58*y^2*z0 + x^58*z0^3 + 2*x^56*y^2*z0^3 - x^59*z0 - x^57*y^2*z0 - 2*x^57*z0^3 + x^55*y^2*z0^3 - x^58*z0 + x^56*y^2*z0 + 2*x^56*z0^3 + x^54*y^2*z0^3 - x^57*z0 - x^55*z0^3 + x^56*z0 + 2*x^54*z0^3 + x^55*z0 - 2*x^53*z0^3 + x^54*z0 + x^52*z0^3 - x^53*z0 - 2*x^51*z0^3 - x^52*z0 + 2*x^50*z0^3 - x^51*z0 - x^49*z0^3 + x^50*z0 + 2*x^48*z0^3 + x^49*z0 - 2*x^47*z0^3 + x^48*z0 + x^46*z0^3 - x^47*z0 - 2*x^45*z0^3 - x^46*z0 + 2*x^44*z0^3 - x^45*z0 - x^43*z0^3 + x^44*z0 + 2*x^42*z0^3 + x^43*z0 + x^41*z0^3 - 2*x^39*y*z0^4 + x^42*z0 - x^40*y*z0^2 + x^40*z0^3 - x^38*y*z0^4 + x^39*y*z0^2 - 2*x^37*y*z0^4 - 2*x^40*y + x^38*y*z0^2 + x^38*z0^3 + x^39*y + x^39*z0 - 2*x^37*y*z0^2 + x^35*y*z0^4 - x^38*y + 2*x^38*z0 + x^36*y*z0^2 - x^36*z0^3 - x^34*y*z0^4 + x^37*y + x^35*y*z0^2 + x^35*z0^3 + 2*x^33*y*z0^4 - x^36*y + x^36*z0 + 2*x^34*y*z0^2 + 2*x^34*z0^3 - x^32*y*z0^4 + x^35*y + x^35*z0 - 2*x^33*z0^3 - 2*x^31*y*z0^4 - x^34*y + x^34*z0 + x^32*y*z0^2 - x^32*z0^3 - x^33*y - 2*x^31*y*z0^2 + x^31*z0^3 - 2*x^29*y*z0^4 - x^32*z0 + x^30*y*z0^2 + 2*x^30*z0^3 + 2*x^28*y*z0^4 - 2*x^31*z0 + 2*x^27*y*z0^4 - x^28*z0^3 - 2*x^26*y*z0^4 - x^29*y + x^29*z0 - 2*x^27*y*z0^2 - x^27*z0^3 + x^25*y*z0^4 - 2*x^28*y - x^28*z0 - x^26*y*z0^2 + 2*x^26*z0^3 + x^24*y^2*z0^3 + x^27*y - x^27*z0 + 2*x^25*y*z0^2 - x^23*y*z0^4 + 2*x^26*y + x^26*z0 - x^22*y*z0^4 - 2*x^25*z0 - x^23*y*z0^2 - 2*x^21*y*z0^4 + 2*x^24*y - x^24*z0 + 2*x^22*z0^3 + 2*x^23*y + 2*x^19*y*z0^4 - 2*x^22*z0 + x^20*y*z0^2 + 2*x^20*z0^3 + 2*x^18*y*z0^4 + x^21*z0 - x^19*z0^3 - 2*x^17*y*z0^4 + x^20*y + x^20*z0 + x^18*y*z0^2 + 2*x^18*z0^3 + x^16*y*z0^4 - 2*x^19*y - 2*x^19*z0 + 2*x^17*z0^3 - x^15*y*z0^4 - x^18*z0 + 2*x^16*y*z0^2 + 2*x^16*z0^3 - x^14*y*z0^4 - x^17*y + 2*x^17*z0 - 2*x^15*y*z0^2 - 2*x^15*z0^3 - 2*x^13*y*z0^4 - 2*x^16*z0 + x^14*y*z0^2 - 2*x^14*z0^3 + x^12*y*z0^4 + x^15*z0 - x^13*y*z0^2 + x^13*z0^3 - x^14*y + 2*x^14*z0 + 2*x^12*z0^3 + 2*x^10*y*z0^4 + x^13*y - 2*x^13*z0 + x^11*y*z0^2 + x^11*z0^3 - x^9*y*z0^4 - x^12*y + x^12*z0 + x^10*z0^3 - 2*x^8*y*z0^4 + 2*x^11*y + 2*x^11*z0 - 2*x^9*y*z0^2 + 2*x^9*z0^3 + 2*x^7*y*z0^4 - x^10*y - x^10*z0 + 2*x^8*y*z0^2 - 2*x^8*z0^3 - 2*x^6*y*z0^4 + x^9*y + 2*x^7*y*z0^2 + 2*x^7*z0^3 - x^5*y*z0^4 + x^8*y + x^8*z0 + 2*x^6*y*z0^2 + x^4*y*z0^4 + x^7*z0 - x^5*y*z0^2 - 2*x^5*z0^3 + x^3*y*z0^4 - x^6*y - 2*x^6*z0 - 2*x^4*z0^3 - x^2*y*z0^4 - x^5*y - x^5*z0 + 2*x^3*y*z0^2 - 2*x^3*z0^3 + 2*x^4*z0 + 2*x^2*y*z0^2 + 2*x^3*y + 2*x^3*z0 - 2*x^2*y)/y) * dx,
+ ((-2*x^61*z0^4 + x^60*z0^4 + 2*x^58*y^2*z0^4 + 2*x^61*z0^2 + x^59*z0^4 - x^57*y^2*z0^4 + x^60*z0^2 - 2*x^58*y^2*z0^2 + 2*x^58*z0^4 - x^56*y^2*z0^4 - x^61 - x^57*y^2*z0^2 - x^57*z0^4 - 2*x^60 + x^58*y^2 - 2*x^58*z0^2 - x^56*z0^4 + 2*x^57*y^2 - x^57*z0^2 - 2*x^55*z0^4 + x^58 + x^54*z0^4 + 2*x^57 + 2*x^55*z0^2 + x^53*z0^4 + x^54*z0^2 + 2*x^52*z0^4 - x^55 - x^51*z0^4 - 2*x^54 - 2*x^52*z0^2 - x^50*z0^4 - x^51*z0^2 - 2*x^49*z0^4 + x^52 + x^48*z0^4 + 2*x^51 + 2*x^49*z0^2 + x^47*z0^4 + x^48*z0^2 + 2*x^46*z0^4 - x^49 - x^45*z0^4 - 2*x^48 - 2*x^46*z0^2 - x^44*z0^4 - x^45*z0^2 - 2*x^43*z0^4 + x^46 + x^42*z0^4 + 2*x^45 + 2*x^43*z0^2 + x^41*z0^4 + x^42*z0^2 - x^40*y*z0^3 - 2*x^40*z0^4 - x^43 + 2*x^41*z0^2 + 2*x^39*y*z0^3 - 2*x^42 + x^40*y*z0 + x^38*y*z0^3 - 2*x^39*y*z0 + 2*x^39*z0^2 + 2*x^40 - x^38*z0^2 + x^36*y*z0^3 - x^39 - 2*x^37*y*z0 - 2*x^37*z0^2 + x^35*y*z0^3 - x^35*z0^4 + 2*x^38 - x^36*y*z0 - 2*x^36*z0^2 + x^34*y*z0^3 - 2*x^34*z0^4 + x^37 + x^35*y*z0 + 2*x^33*y*z0^3 - x^33*z0^4 - x^36 + x^34*z0^2 - x^32*y*z0^3 - 2*x^32*z0^4 + 2*x^35 + x^33*z0^2 + 2*x^31*y*z0^3 - x^31*z0^4 + 2*x^34 + x^32*y*z0 - 2*x^32*z0^2 + 2*x^30*y*z0^3 - x^30*z0^4 - 2*x^33 - x^31*y*z0 + x^31*z0^2 + x^29*y*z0^3 - x^29*z0^4 - x^32 - 2*x^30*y*z0 - x^30*z0^2 - x^28*y*z0^3 + 2*x^28*z0^4 + 2*x^31 + 2*x^29*z0^2 - x^27*z0^4 - 2*x^30 - x^28*z0^2 + x^26*y*z0^3 - x^26*z0^4 + x^24*y^2*z0^4 - 2*x^29 - 2*x^27*y*z0 - 2*x^27*z0^2 - x^25*y*z0^3 + x^25*z0^4 + 2*x^28 + x^26*y*z0 + x^26*z0^2 + 2*x^24*y*z0^3 - 2*x^24*z0^4 + x^25*y*z0 + 2*x^26 - x^24*y*z0 + 2*x^24*z0^2 - 2*x^22*y*z0^3 - x^22*z0^4 + 2*x^23*y*z0 - x^23*z0^2 + x^21*y*z0^3 - x^21*z0^4 - x^24 + 2*x^22*y*z0 - x^22*z0^2 + x^20*y*z0^3 + 2*x^20*z0^4 + 2*x^21*y*z0 - 2*x^21*z0^2 + 2*x^19*y*z0^3 + 2*x^19*z0^4 + 2*x^22 + 2*x^20*y*z0 - x^20*z0^2 - 2*x^18*y*z0^3 + x^18*z0^4 + 2*x^21 + 2*x^19*y*z0 + x^19*z0^2 - x^17*y*z0^3 + 2*x^17*z0^4 - x^20 - 2*x^18*y*z0 - x^18*z0^2 - 2*x^16*y*z0^3 + x^16*z0^4 - x^19 - x^17*y*z0 + 2*x^17*z0^2 - 2*x^15*z0^4 + 2*x^18 + x^16*y*z0 + x^16*z0^2 + x^14*y*z0^3 - x^14*z0^4 - 2*x^15*z0^2 + x^13*y*z0^3 - x^13*z0^4 - 2*x^16 - 2*x^14*y*z0 - 2*x^12*y*z0^3 - 2*x^12*z0^4 + x^15 + x^13*z0^2 - 2*x^11*y*z0^3 - x^11*z0^4 + 2*x^14 - x^12*z0^2 - 2*x^10*y*z0^3 + x^13 + 2*x^11*z0^2 + 2*x^9*y*z0^3 + x^9*z0^4 + 2*x^12 - 2*x^10*y*z0 + x^10*z0^2 + x^8*y*z0^3 - 2*x^8*z0^4 + 2*x^11 - 2*x^9*y*z0 + 2*x^9*z0^2 - 2*x^7*y*z0^3 - x^10 + 2*x^8*y*z0 - x^6*y*z0^3 + 2*x^6*z0^4 + x^9 - 2*x^7*y*z0 - 2*x^7*z0^2 + x^5*y*z0^3 + 2*x^5*z0^4 + 2*x^8 - x^6*y*z0 - x^6*z0^2 - x^4*y*z0^3 - x^4*z0^4 + x^5*y*z0 + 2*x^5*z0^2 - x^3*z0^4 - x^6 + 2*x^4*y*z0 + 2*x^4*z0^2 - x^2*z0^4 - x^5 + x^3*y*z0 - x^3*z0^2 + x^2*y*z0 - x^2*z0^2 - 2*x^3 - x^2)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^61*z0^4 - x^60*z0^4 + x^58*y^2*z0^4 + 2*x^61*z0^2 + x^59*z0^4 + x^57*y^2*z0^4 - x^60*z0^2 - 2*x^58*y^2*z0^2 + x^58*z0^4 - x^56*y^2*z0^4 + 2*x^61 + x^57*y^2*z0^2 + x^57*z0^4 + 2*x^60 - 2*x^58*y^2 - 2*x^58*z0^2 - x^56*z0^4 - 2*x^57*y^2 + x^57*z0^2 - x^55*z0^4 - 2*x^58 - x^54*z0^4 - 2*x^57 + 2*x^55*z0^2 + x^53*z0^4 - x^54*z0^2 + x^52*z0^4 + 2*x^55 + x^51*z0^4 + 2*x^54 - 2*x^52*z0^2 - x^50*z0^4 + x^51*z0^2 - x^49*z0^4 - 2*x^52 - x^48*z0^4 - 2*x^51 + 2*x^49*z0^2 + x^47*z0^4 - x^48*z0^2 + x^46*z0^4 + 2*x^49 + x^45*z0^4 + 2*x^48 - 2*x^46*z0^2 - x^44*z0^4 + x^45*z0^2 - x^43*z0^4 - 2*x^46 - x^42*z0^4 - 2*x^45 + 2*x^43*z0^2 + x^41*z0^4 - x^42*z0^2 + 2*x^40*y*z0^3 + 2*x^43 + 2*x^41*z0^2 + 2*x^39*y*z0^3 + x^39*z0^4 + 2*x^42 + x^40*y*z0 - x^40*z0^2 - x^38*y*z0^3 + 2*x^39*y*z0 - x^39*z0^2 + 2*x^37*y*z0^3 + x^37*z0^4 + x^40 - x^38*y*z0 - x^38*z0^2 + x^36*y*z0^3 + x^39 - x^37*y*z0 - 2*x^37*z0^2 - 2*x^35*y*z0^3 + 2*x^35*z0^4 + 2*x^38 + x^36*z0^2 - x^34*y*z0^3 + 2*x^37 + 2*x^35*y*z0 - x^35*z0^2 - 2*x^33*z0^4 - x^36 - 2*x^34*y*z0 + 2*x^34*z0^2 - x^32*y*z0^3 + x^32*z0^4 + 2*x^33*y*z0 + x^33*z0^2 - 2*x^31*y*z0^3 - x^34 - x^30*z0^4 - 2*x^33 - x^31*y*z0 + 2*x^31*z0^2 - x^29*y*z0^3 + x^29*z0^4 - 2*x^32 - 2*x^30*y*z0 + 2*x^30*z0^2 - 2*x^28*y*z0^3 + 2*x^28*z0^4 - 2*x^31 - 2*x^29*y*z0 + x^29*z0^2 - 2*x^27*y*z0^3 + x^27*z0^4 + x^28*y*z0 - x^28*z0^2 - x^26*y*z0^3 - 2*x^26*z0^4 - x^29 + 2*x^27*y*z0 - 2*x^27*z0^2 - 2*x^25*y*z0^3 - x^25*z0^4 + 2*x^28 + x^26*y*z0 - x^26*z0^2 - 2*x^24*y*z0^3 + x^24*z0^4 + x^27 + x^25*y^2 - 2*x^25*y*z0 + 2*x^25*z0^2 - 2*x^23*y*z0^3 - x^23*z0^4 - 2*x^24*y*z0 + 2*x^22*z0^4 - 2*x^25 + 2*x^23*y*z0 + x^23*z0^2 - 2*x^21*y*z0^3 + x^21*z0^4 + x^24 - x^22*y*z0 + x^22*z0^2 - x^20*y*z0^3 + x^20*z0^4 + x^23 + x^21*y*z0 + 2*x^21*z0^2 - x^19*y*z0^3 + x^19*z0^4 - 2*x^22 - x^20*y*z0 - x^18*y*z0^3 - x^18*z0^4 - 2*x^21 + 2*x^19*y*z0 - 2*x^19*z0^2 + x^17*z0^4 - x^20 - 2*x^18*y*z0 - x^18*z0^2 - 2*x^16*y*z0^3 - x^16*z0^4 - 2*x^19 - 2*x^17*z0^2 - 2*x^15*z0^4 - x^18 + x^16*z0^2 + x^14*y*z0^3 - 2*x^14*z0^4 - 2*x^17 - 2*x^15*y*z0 - 2*x^15*z0^2 + x^13*y*z0^3 - 2*x^13*z0^4 + 2*x^16 + x^14*z0^2 - x^12*y*z0^3 + x^12*z0^4 + 2*x^15 - 2*x^13*y*z0 - 2*x^13*z0^2 + x^11*y*z0^3 - x^14 + x^12*y*z0 + x^12*z0^2 + x^10*y*z0^3 + 2*x^10*z0^4 - x^11*y*z0 + 2*x^11*z0^2 - x^9*z0^4 + 2*x^10*y*z0 - x^10*z0^2 - 2*x^8*y*z0^3 - x^8*z0^4 - 2*x^9*y*z0 - 2*x^9*z0^2 - 2*x^7*y*z0^3 - 2*x^7*z0^4 + x^10 + 2*x^8*y*z0 + x^6*z0^4 - 2*x^9 - x^7*y*z0 + 2*x^7*z0^2 - x^5*y*z0^3 + 2*x^5*z0^4 + x^8 + x^6*y*z0 - x^6*z0^2 + x^4*y*z0^3 + x^4*z0^4 - x^5*z0^2 - x^3*y*z0^3 + 2*x^3*z0^4 + 2*x^6 - x^4*y*z0 + 2*x^4*z0^2 - 2*x^2*z0^4 - 2*x^3*y*z0 + 2*x^2*y*z0 + 2*x^2*z0^2)/y) * dx,
+ ((-x^61*z0^3 - x^60*z0^3 + x^58*y^2*z0^3 + x^59*z0^3 + x^57*y^2*z0^3 - x^60*z0 + x^58*z0^3 - x^56*y^2*z0^3 + x^59*z0 + x^57*y^2*z0 + x^57*z0^3 - x^56*y^2*z0 - x^56*z0^3 + x^57*z0 - x^55*z0^3 - x^56*z0 - x^54*z0^3 + x^53*z0^3 - x^54*z0 + x^52*z0^3 + x^53*z0 + x^51*z0^3 - x^50*z0^3 + x^51*z0 - x^49*z0^3 - x^50*z0 - x^48*z0^3 + x^47*z0^3 - x^48*z0 + x^46*z0^3 + x^47*z0 + x^45*z0^3 - x^44*z0^3 + x^45*z0 - x^43*z0^3 - x^44*z0 - x^42*z0^3 - x^39*y*z0^4 - x^42*z0 + 2*x^40*y*z0^2 - 2*x^40*z0^3 + x^41*z0 + x^37*y*z0^4 + 2*x^40*z0 - 2*x^38*z0^3 - x^36*y*z0^4 + x^39*y - 2*x^39*z0 - 2*x^37*y*z0^2 + 2*x^35*y*z0^4 - x^38*y + 2*x^36*y*z0^2 - 2*x^36*z0^3 - 2*x^34*y*z0^4 - x^37*z0 + x^35*y*z0^2 + 2*x^35*z0^3 - x^33*y*z0^4 - 2*x^34*y*z0^2 - x^34*z0^3 + 2*x^32*y*z0^4 + x^35*y + x^33*y*z0^2 + 2*x^31*y*z0^4 - 2*x^34*y + 2*x^34*z0 + x^30*y*z0^4 - x^33*y - x^33*z0 - x^31*y*z0^2 + 2*x^31*z0^3 + x^29*y*z0^4 - 2*x^30*z0^3 + 2*x^28*y*z0^4 + 2*x^31*y + x^31*z0 - 2*x^29*y*z0^2 + 2*x^29*z0^3 + 2*x^27*y*z0^4 + x^30*y - x^30*z0 - 2*x^28*y*z0^2 - x^28*z0^3 - x^26*y*z0^4 + 2*x^29*y - 2*x^29*z0 - x^27*z0^3 - x^25*y*z0^4 - 2*x^28*y + x^28*z0 - 2*x^27*y + x^27*z0 + x^25*y^2*z0 - 2*x^25*y*z0^2 - 2*x^25*z0^3 - x^26*y + x^24*z0^3 + 2*x^22*y*z0^4 - x^25*y - 2*x^23*y*z0^2 + x^23*z0^3 - x^21*y*z0^4 - x^24*y - 2*x^24*z0 - 2*x^22*y*z0^2 + 2*x^22*z0^3 - x^20*y*z0^4 + x^23*z0 + 2*x^19*y*z0^4 - x^20*z0^3 + x^18*y*z0^4 - 2*x^21*y + x^21*z0 - 2*x^19*y*z0^2 - x^17*y*z0^4 - 2*x^20*z0 + x^18*y*z0^2 + 2*x^18*z0^3 + x^19*y - x^17*y*z0^2 - 2*x^17*z0^3 - 2*x^15*y*z0^4 + x^18*y - x^18*z0 + x^16*y*z0^2 + x^16*z0^3 + x^17*y - x^15*y*z0^2 - 2*x^15*z0^3 + x^13*y*z0^4 + x^16*z0 + 2*x^14*y*z0^2 + x^14*z0^3 + x^15*z0 - x^13*y*z0^2 - 2*x^12*y*z0^2 + x^10*y*z0^4 - x^13*y - 2*x^11*z0^3 - x^12*y - 2*x^12*z0 + x^10*y*z0^2 + x^8*y*z0^4 + 2*x^11*y + x^11*z0 - 2*x^9*y*z0^2 - 2*x^9*z0^3 - x^10*y + 2*x^10*z0 + 2*x^8*y*z0^2 - 2*x^8*z0^3 + x^9*y - x^9*z0 - x^7*y*z0^2 - x^7*z0^3 + 2*x^8*y + x^8*z0 + x^6*y*z0^2 + 2*x^6*z0^3 - 2*x^7*y - x^7*z0 - x^5*z0^3 + x^3*y*z0^4 - 2*x^6*z0 - 2*x^4*y*z0^2 + 2*x^4*z0^3 - x^5*y - x^3*y*z0^2 + x^4*y - 2*x^4*z0 + x^2*y*z0^2 + 2*x^2*z0^3 - 2*x^3*y + x^3*z0 + x^2*z0)/y) * dx,
+ ((2*x^61*z0^4 - 2*x^60*z0^4 - 2*x^58*y^2*z0^4 + 2*x^57*y^2*z0^4 - 2*x^60*z0^2 - 2*x^58*z0^4 - 2*x^61 + 2*x^57*y^2*z0^2 + 2*x^57*z0^4 + x^60 + 2*x^58*y^2 - x^57*y^2 + 2*x^57*z0^2 + 2*x^55*z0^4 + 2*x^58 - 2*x^54*z0^4 - x^57 - 2*x^54*z0^2 - 2*x^52*z0^4 - 2*x^55 + 2*x^51*z0^4 + x^54 + 2*x^51*z0^2 + 2*x^49*z0^4 + 2*x^52 - 2*x^48*z0^4 - x^51 - 2*x^48*z0^2 - 2*x^46*z0^4 - 2*x^49 + 2*x^45*z0^4 + x^48 + 2*x^45*z0^2 + 2*x^43*z0^4 + 2*x^46 - 2*x^42*z0^4 - x^45 + x^41*z0^4 - 2*x^42*z0^2 + x^40*y*z0^3 - x^40*z0^4 - 2*x^43 - x^39*z0^4 + x^42 + 2*x^38*y*z0^3 + 2*x^38*z0^4 + x^41 + x^39*y*z0 + 2*x^39*z0^2 - 2*x^37*y*z0^3 - 2*x^37*z0^4 - 2*x^40 - 2*x^38*y*z0 - x^39 - 2*x^37*y*z0 - x^37*z0^2 + x^35*y*z0^3 - x^35*z0^4 + 2*x^38 + 2*x^36*y*z0 - 2*x^36*z0^2 - 2*x^34*y*z0^3 + 2*x^37 + x^35*y*z0 - 2*x^35*z0^2 - x^33*y*z0^3 - x^33*z0^4 + x^34*z0^2 + x^32*y*z0^3 - 2*x^32*z0^4 + x^33*y*z0 + x^33*z0^2 - x^34 + 2*x^32*y*z0 - 2*x^32*z0^2 + x^30*y*z0^3 + x^33 + x^31*z0^2 + 2*x^29*z0^4 + x^30*y*z0 - 2*x^30*z0^2 - x^28*y*z0^3 + x^28*z0^4 - 2*x^31 + 2*x^29*y*z0 + 2*x^29*z0^2 - x^27*y*z0^3 - x^27*z0^4 - 2*x^30 - x^28*y*z0 + 2*x^28*z0^2 + 2*x^26*y*z0^3 + x^26*z0^4 + 2*x^29 - x^27*y*z0 + x^27*z0^2 + x^25*y^2*z0^2 - x^25*y*z0^3 - x^25*z0^4 + x^28 - x^26*y*z0 + x^26*z0^2 + x^24*y*z0^3 + x^24*z0^4 - x^27 + x^25*y*z0 - 2*x^25*z0^2 + x^23*y*z0^3 + x^23*z0^4 + x^26 - 2*x^24*y*z0 + 2*x^24*z0^2 - 2*x^22*y*z0^3 - x^22*z0^4 - 2*x^25 + 2*x^23*y*z0 + 2*x^23*z0^2 + x^21*y*z0^3 - 2*x^21*z0^4 + 2*x^22*y*z0 + x^20*y*z0^3 - x^20*z0^4 - 2*x^23 - 2*x^21*y*z0 - x^21*z0^2 + 2*x^19*y*z0^3 + 2*x^19*z0^4 - 2*x^22 - 2*x^20*y*z0 + x^20*z0^2 - 2*x^18*y*z0^3 + 2*x^18*z0^4 + x^21 - 2*x^19*y*z0 - 2*x^19*z0^2 - 2*x^17*y*z0^3 + 2*x^20 + x^18*y*z0 + 2*x^18*z0^2 + 2*x^16*y*z0^3 - 2*x^16*z0^4 + 2*x^19 - x^17*y*z0 - x^17*z0^2 + 2*x^15*y*z0^3 + 2*x^15*z0^4 - 2*x^18 - x^16*y*z0 + 2*x^16*z0^2 - x^14*y*z0^3 - x^17 - 2*x^15*y*z0 + 2*x^13*z0^4 + 2*x^16 - x^14*y*z0 + x^12*y*z0^3 + 2*x^12*z0^4 - 2*x^13*y*z0 + 2*x^13*z0^2 - 2*x^11*y*z0^3 + x^11*z0^4 - 2*x^12*y*z0 - x^12*z0^2 - x^10*y*z0^3 - x^10*z0^4 - x^13 - x^11*y*z0 - 2*x^11*z0^2 + x^9*y*z0^3 + 2*x^9*z0^4 - x^12 - 2*x^10*y*z0 - x^8*y*z0^3 + 2*x^11 + x^9*y*z0 + 2*x^9*z0^2 - 2*x^7*y*z0^3 + 2*x^8*y*z0 + x^8*z0^2 - x^6*y*z0^3 + 2*x^6*z0^4 + 2*x^9 - x^7*z0^2 - x^5*y*z0^3 + x^5*z0^4 - x^6*y*z0 - x^4*y*z0^3 + x^4*z0^4 - x^7 + 2*x^5*y*z0 - 2*x^5*z0^2 + x^3*y*z0^3 + x^6 + x^4*y*z0 - 2*x^2*y*z0^3 - x^2*z0^4 + x^3*y*z0 + x^3*z0^2 - 2*x^2*y*z0 - x^2*z0^2 - 2*x^3 + x^2)/y) * dx,
+ ((-2*x^61*z0^3 + x^60*z0^3 + 2*x^58*y^2*z0^3 + x^61*z0 + 2*x^59*z0^3 - x^57*y^2*z0^3 + 2*x^60*z0 - x^58*y^2*z0 - 2*x^56*y^2*z0^3 + x^59*z0 - 2*x^57*y^2*z0 + 2*x^57*z0^3 + 2*x^55*y^2*z0^3 - x^58*z0 - x^56*y^2*z0 - 2*x^56*z0^3 + 2*x^54*y^2*z0^3 - 2*x^57*z0 - x^56*z0 - 2*x^54*z0^3 + x^55*z0 + 2*x^53*z0^3 + 2*x^54*z0 + x^53*z0 + 2*x^51*z0^3 - x^52*z0 - 2*x^50*z0^3 - 2*x^51*z0 - x^50*z0 - 2*x^48*z0^3 + x^49*z0 + 2*x^47*z0^3 + 2*x^48*z0 + x^47*z0 + 2*x^45*z0^3 - x^46*z0 - 2*x^44*z0^3 - 2*x^45*z0 - x^44*z0 - 2*x^42*z0^3 + x^43*z0 - 2*x^39*y*z0^4 + 2*x^42*z0 - x^40*y*z0^2 - 2*x^40*z0^3 + 2*x^38*y*z0^4 + 2*x^41*z0 + x^39*y*z0^2 - x^39*z0^3 - x^37*y*z0^4 - 2*x^40*y + 2*x^40*z0 - 2*x^38*y*z0^2 + x^38*z0^3 - 2*x^36*y*z0^4 + x^39*y - x^39*z0 + x^35*y*z0^4 + 2*x^38*z0 + 2*x^36*z0^3 + x^34*y*z0^4 + x^37*y - 2*x^37*z0 - 2*x^35*y*z0^2 - x^35*z0^3 + x^33*y*z0^4 + 2*x^36*y - x^36*z0 + x^34*y*z0^2 - 2*x^34*z0^3 + 2*x^32*y*z0^4 + 2*x^35*y + 2*x^35*z0 + 2*x^33*z0^3 - x^31*y*z0^4 + x^34*y - x^32*z0^3 + x^30*y*z0^4 + 2*x^33*z0 + x^31*y*z0^2 + 2*x^31*z0^3 - x^29*y*z0^4 - x^32*y - x^32*z0 - x^30*y*z0^2 + 2*x^30*z0^3 + x^28*y*z0^4 + x^31*z0 + 2*x^29*y*z0^2 + 2*x^29*z0^3 - x^27*y*z0^4 - x^30*y + x^30*z0 - 2*x^28*y*z0^2 - 2*x^28*z0^3 - 2*x^26*y*z0^4 - 2*x^29*y + x^29*z0 - 2*x^27*z0^3 + x^25*y^2*z0^3 + 2*x^28*y - 2*x^28*z0 + x^26*y*z0^2 + 2*x^26*z0^3 - 2*x^27*y - x^27*z0 + x^25*y*z0^2 + 2*x^23*y*z0^4 + 2*x^26*z0 + x^24*y*z0^2 - x^24*z0^3 - x^22*y*z0^4 - x^25*y + x^25*z0 + x^23*y*z0^2 + 2*x^23*z0^3 - 2*x^24*y - 2*x^24*z0 + x^22*y*z0^2 + 2*x^22*z0^3 - 2*x^20*y*z0^4 - 2*x^23*y - x^23*z0 + x^21*y*z0^2 + 2*x^19*y*z0^4 - 2*x^22*y + x^22*z0 + 2*x^20*y*z0^2 + x^20*z0^3 - x^18*y*z0^4 - x^21*y - x^19*y*z0^2 + 2*x^17*y*z0^4 - x^20*y - 2*x^18*y*z0^2 - 2*x^16*y*z0^4 + 2*x^19*y - 2*x^19*z0 + x^17*z0^3 - 2*x^15*y*z0^4 + 2*x^18*y + x^18*z0 + x^16*z0^3 + 2*x^14*y*z0^4 - 2*x^17*y + 2*x^15*y*z0^2 + x^13*y*z0^4 + 2*x^16*y - 2*x^16*z0 + x^14*y*z0^2 + 2*x^14*z0^3 + 2*x^15*y + 2*x^15*z0 - 2*x^13*z0^3 - 2*x^11*y*z0^4 + 2*x^12*y*z0^2 + 2*x^12*z0^3 - 2*x^13*y - x^11*y*z0^2 - x^11*z0^3 - 2*x^12*y + 2*x^12*z0 + x^10*y*z0^2 - x^10*z0^3 - 2*x^8*y*z0^4 - 2*x^11*y - x^11*z0 + x^9*y*z0^2 + 2*x^9*z0^3 - 2*x^7*y*z0^4 - x^10*y - x^10*z0 + x^8*y*z0^2 + 2*x^8*z0^3 - x^6*y*z0^4 - x^9*y + 2*x^9*z0 + 2*x^7*y*z0^2 - x^7*z0^3 - 2*x^8*y - x^8*z0 - x^6*y*z0^2 - x^6*z0^3 + 2*x^4*y*z0^4 - x^7*y - x^7*z0 - x^5*y*z0^2 - 2*x^5*z0^3 + x^3*y*z0^4 - x^6*y + 2*x^4*y*z0^2 + 2*x^4*z0^3 + 2*x^2*y*z0^4 + 2*x^5*y + 2*x^5*z0 - 2*x^3*y*z0^2 - x^3*z0^3 - x^4*y + 2*x^4*z0 + 2*x^3*y + 2*x^3*z0)/y) * dx,
+ ((x^61*z0^4 + x^60*z0^4 - x^58*y^2*z0^4 + 2*x^61*z0^2 - 2*x^59*z0^4 - x^57*y^2*z0^4 - 2*x^58*y^2*z0^2 - x^58*z0^4 + 2*x^56*y^2*z0^4 + x^61 - x^57*z0^4 - 2*x^60 - x^58*y^2 - 2*x^58*z0^2 + 2*x^56*z0^4 + 2*x^57*y^2 + x^55*z0^4 - x^58 + x^54*z0^4 + 2*x^57 + 2*x^55*z0^2 - 2*x^53*z0^4 - x^52*z0^4 + x^55 - x^51*z0^4 - 2*x^54 - 2*x^52*z0^2 + 2*x^50*z0^4 + x^49*z0^4 - x^52 + x^48*z0^4 + 2*x^51 + 2*x^49*z0^2 - 2*x^47*z0^4 - x^46*z0^4 + x^49 - x^45*z0^4 - 2*x^48 - 2*x^46*z0^2 + 2*x^44*z0^4 + x^43*z0^4 - x^46 + x^42*z0^4 + 2*x^45 + 2*x^43*z0^2 + 2*x^41*z0^4 - 2*x^40*y*z0^3 + x^40*z0^4 + x^43 + 2*x^41*z0^2 + 2*x^39*y*z0^3 - x^39*z0^4 - 2*x^42 + x^40*y*z0 + x^38*y*z0^3 - 2*x^38*z0^4 - x^41 + x^39*y*z0 - 2*x^39*z0^2 - x^37*y*z0^3 - x^37*z0^4 - 2*x^40 + 2*x^38*y*z0 - x^38*z0^2 + x^36*y*z0^3 + 2*x^36*z0^4 + 2*x^39 + 2*x^37*y*z0 - 2*x^37*z0^2 - x^35*y*z0^3 - x^35*z0^4 - x^38 + 2*x^36*y*z0 + 2*x^36*z0^2 + x^34*z0^4 - x^37 + x^35*y*z0 - 2*x^35*z0^2 - x^33*y*z0^3 + 2*x^33*z0^4 - x^36 - 2*x^34*y*z0 + 2*x^34*z0^2 - x^32*z0^4 - x^33*y*z0 - x^33*z0^2 + x^31*y*z0^3 + 2*x^31*z0^4 + 2*x^32*y*z0 + 2*x^32*z0^2 - x^30*y*z0^3 + x^30*z0^4 - x^33 + 2*x^31*y*z0 + x^31*z0^2 + 2*x^29*y*z0^3 - x^29*z0^4 - 2*x^32 - 2*x^30*y*z0 - 2*x^30*z0^2 + 2*x^28*z0^4 - 2*x^31 - 2*x^29*z0^2 + 2*x^27*y*z0^3 - 2*x^27*z0^4 + x^25*y^2*z0^4 + x^30 + x^28*y*z0 + x^26*y*z0^3 - x^26*z0^4 + x^29 - x^27*y*z0 - x^27*z0^2 - 2*x^25*z0^4 - x^28 + x^26*y*z0 - 2*x^26*z0^2 - 2*x^27 - 2*x^25*y*z0 - x^25*z0^2 - x^23*y*z0^3 - x^23*z0^4 - 2*x^26 + x^24*y*z0 + x^24*z0^2 + 2*x^22*y*z0^3 + x^22*z0^4 + x^25 + 2*x^23*y*z0 - x^23*z0^2 - 2*x^21*y*z0^3 - x^22*z0^2 - x^20*y*z0^3 - x^20*z0^4 - 2*x^23 - x^19*y*z0^3 + x^19*z0^4 + 2*x^22 - 2*x^20*y*z0 - 2*x^20*z0^2 + 2*x^18*y*z0^3 - 2*x^18*z0^4 + x^21 - x^19*y*z0 - 2*x^19*z0^2 + x^17*y*z0^3 + x^17*z0^4 + 2*x^18*y*z0 + 2*x^18*z0^2 - 2*x^16*z0^4 - x^19 + 2*x^17*y*z0 - x^15*z0^4 + x^18 + 2*x^16*y*z0 + x^16*z0^2 - 2*x^14*y*z0^3 - 2*x^14*z0^4 - x^17 - x^15*y*z0 + 2*x^15*z0^2 - 2*x^13*z0^4 + x^16 - x^14*z0^2 - 2*x^12*y*z0^3 - x^12*z0^4 - x^15 - x^13*y*z0 + 2*x^13*z0^2 + 2*x^11*y*z0^3 - 2*x^11*z0^4 - x^14 - 2*x^12*y*z0 - 2*x^12*z0^2 - x^10*y*z0^3 + 2*x^10*z0^4 - 2*x^13 + 2*x^11*y*z0 - 2*x^11*z0^2 + x^9*y*z0^3 - x^12 + 2*x^8*y*z0^3 - 2*x^8*z0^4 - 2*x^9*y*z0 - x^9*z0^2 + 2*x^7*y*z0^3 - 2*x^7*z0^4 + x^10 + 2*x^8*y*z0 + 2*x^8*z0^2 + 2*x^6*y*z0^3 + x^6*z0^4 - x^9 + x^7*y*z0 - x^7*z0^2 - x^5*y*z0^3 - 2*x^5*z0^4 - 2*x^8 - 2*x^6*y*z0 + 2*x^4*y*z0^3 - 2*x^7 + 2*x^5*y*z0 - 2*x^5*z0^2 - 2*x^3*y*z0^3 - 2*x^3*z0^4 - 2*x^4*y*z0 - x^4*z0^2 + x^2*y*z0^3 - 2*x^2*z0^4 + 2*x^5 - x^3*y*z0 - 2*x^3*z0^2 + x^3 - 2*x^2)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-2*x^60*z0^4 + 2*x^61*z0^2 - x^59*z0^4 + 2*x^57*y^2*z0^4 + 2*x^60*z0^2 - 2*x^58*y^2*z0^2 + x^56*y^2*z0^4 - x^61 - 2*x^57*y^2*z0^2 + 2*x^57*z0^4 - 2*x^60 + x^58*y^2 - 2*x^58*z0^2 + x^56*z0^4 + 2*x^57*y^2 - 2*x^57*z0^2 + x^58 - 2*x^54*z0^4 + 2*x^57 + 2*x^55*z0^2 - x^53*z0^4 + 2*x^54*z0^2 - x^55 + 2*x^51*z0^4 - 2*x^54 - 2*x^52*z0^2 + x^50*z0^4 - 2*x^51*z0^2 + x^52 - 2*x^48*z0^4 + 2*x^51 + 2*x^49*z0^2 - x^47*z0^4 + 2*x^48*z0^2 - x^49 + 2*x^45*z0^4 - 2*x^48 - 2*x^46*z0^2 + x^44*z0^4 - 2*x^45*z0^2 + x^46 - 2*x^42*z0^4 + 2*x^45 + 2*x^43*z0^2 + x^41*z0^4 + 2*x^42*z0^2 - x^40*z0^4 - x^43 + 2*x^41*z0^2 + 2*x^39*y*z0^3 + 2*x^39*z0^4 - 2*x^42 + x^40*y*z0 - x^40*z0^2 - x^38*y*z0^3 - x^38*z0^4 + 2*x^41 - 2*x^39*y*z0 + x^39*z0^2 + x^37*y*z0^3 - 2*x^37*z0^4 - x^40 + 2*x^38*y*z0 - x^38*z0^2 + x^36*y*z0^3 + 2*x^36*z0^4 - x^37*y*z0 - x^37*z0^2 + x^35*y*z0^3 - 2*x^35*z0^4 + 2*x^38 + x^36*y*z0 - x^36*z0^2 + 2*x^34*y*z0^3 + x^34*z0^4 - x^37 + 2*x^35*z0^2 - x^33*y*z0^3 + 2*x^33*z0^4 + 2*x^36 - 2*x^34*y*z0 + x^34*z0^2 - x^32*z0^4 + x^35 - x^33*y*z0 - x^33*z0^2 - 2*x^31*z0^4 + 2*x^34 + 2*x^32*y*z0 + x^32*z0^2 + x^30*y*z0^3 + x^30*z0^4 - 2*x^33 + 2*x^31*z0^2 - x^29*y*z0^3 + 2*x^29*z0^4 + x^32 + 2*x^30*y*z0 + x^30*z0^2 + 2*x^28*y*z0^3 - 2*x^28*z0^4 - x^31 - x^29*y*z0 - x^29*z0^2 + x^27*y*z0^3 - 2*x^30 + x^28*y*z0 + x^26*y*z0^3 + 2*x^26*z0^4 - x^27*z0^2 - x^25*y*z0^3 - 2*x^25*z0^4 + x^26*y^2 + 2*x^26*y*z0 + x^26*z0^2 - x^24*y*z0^3 + 2*x^24*z0^4 + x^27 + x^25*y*z0 + x^25*z0^2 + 2*x^23*y*z0^3 + x^24*y*z0 - x^24*z0^2 + 2*x^22*y*z0^3 - 2*x^22*z0^4 + x^25 + 2*x^23*y*z0 + x^23*z0^2 - 2*x^21*y*z0^3 - 2*x^21*z0^4 + x^24 + x^22*y*z0 - x^20*y*z0^3 - 2*x^21*y*z0 + x^19*y*z0^3 + x^19*z0^4 + x^22 + x^20*y*z0 + x^20*z0^2 - x^18*z0^4 - x^21 + x^19*y*z0 + 2*x^17*z0^4 + 2*x^20 + x^18*y*z0 + x^18*z0^2 - 2*x^16*y*z0^3 + 2*x^16*z0^4 - x^17*y*z0 + x^17*z0^2 - 2*x^15*y*z0^3 - 2*x^15*z0^4 + x^18 + x^16*y*z0 - 2*x^16*z0^2 + 2*x^14*y*z0^3 - x^14*z0^4 + 2*x^17 + 2*x^15*y*z0 + x^15*z0^2 - x^13*y*z0^3 + 2*x^13*z0^4 + x^16 + 2*x^14*y*z0 + x^14*z0^2 - 2*x^12*y*z0^3 + x^13*y*z0 - 2*x^13*z0^2 + x^11*y*z0^3 + x^11*z0^4 - x^14 - 2*x^12*y*z0 + 2*x^10*y*z0^3 - 2*x^13 + x^11*y*z0 + x^11*z0^2 - x^9*y*z0^3 - x^9*z0^4 + x^12 + 2*x^10*y*z0 - 2*x^10*z0^2 + 2*x^8*y*z0^3 + x^8*z0^4 + x^11 + x^9*z0^2 - x^7*y*z0^3 + 2*x^7*z0^4 - 2*x^8*z0^2 + x^6*y*z0^3 + x^6*z0^4 + x^9 + 2*x^7*y*z0 - 2*x^7*z0^2 - 2*x^5*y*z0^3 + x^5*z0^4 + 2*x^8 + x^6*y*z0 + 2*x^6*z0^2 + x^4*y*z0^3 + x^4*z0^4 - 2*x^7 + x^5*y*z0 - x^5*z0^2 + 2*x^3*z0^4 - x^6 + x^4*z0^2 - x^2*y*z0^3 + 2*x^2*z0^4 + x^5 - 2*x^3*y*z0 + 2*x^3*z0^2 - 2*x^2*z0^2 + x^3 - 2*x^2)/y) * dx,
+ ((2*x^61*z0^3 - 2*x^60*z0^3 - 2*x^58*y^2*z0^3 + x^61*z0 - x^59*z0^3 + 2*x^57*y^2*z0^3 - x^58*y^2*z0 + x^58*z0^3 + x^56*y^2*z0^3 - 2*x^59*z0 + 2*x^57*z0^3 + 2*x^55*y^2*z0^3 - x^58*z0 + 2*x^56*y^2*z0 + x^56*z0^3 - x^55*z0^3 + 2*x^56*z0 - 2*x^54*z0^3 + x^55*z0 - x^53*z0^3 + x^52*z0^3 - 2*x^53*z0 + 2*x^51*z0^3 - x^52*z0 + x^50*z0^3 - x^49*z0^3 + 2*x^50*z0 - 2*x^48*z0^3 + x^49*z0 - x^47*z0^3 + x^46*z0^3 - 2*x^47*z0 + 2*x^45*z0^3 - x^46*z0 + x^44*z0^3 - x^43*z0^3 + 2*x^44*z0 - 2*x^42*z0^3 + x^43*z0 + x^41*z0^3 + 2*x^39*y*z0^4 + x^40*y*z0^2 - x^40*z0^3 - x^41*z0 + x^39*y*z0^2 + x^39*z0^3 + 2*x^37*y*z0^4 - 2*x^40*y + x^38*y*z0^2 - x^38*z0^3 - x^36*y*z0^4 + x^39*y + 2*x^37*y*z0^2 + x^37*z0^3 + x^35*y*z0^4 - 2*x^38*y + 2*x^38*z0 - x^36*y*z0^2 + x^36*z0^3 - x^34*y*z0^4 + x^37*y + 2*x^37*z0 - 2*x^35*y*z0^2 - 2*x^35*z0^3 - x^33*y*z0^4 + 2*x^36*y - x^36*z0 + 2*x^34*y*z0^2 - x^32*y*z0^4 - x^35*y + 2*x^35*z0 + x^33*y*z0^2 + 2*x^33*z0^3 - 2*x^31*y*z0^4 + x^34*y - 2*x^34*z0 + 2*x^32*y*z0^2 + x^32*z0^3 - 2*x^30*y*z0^4 + 2*x^33*y + x^33*z0 + x^31*z0^3 - 2*x^32*z0 - 2*x^30*y*z0^2 + 2*x^30*z0^3 + 2*x^28*y*z0^4 + 2*x^31*y + x^31*z0 + 2*x^29*y*z0^2 + 2*x^29*z0^3 + 2*x^27*y*z0^4 + 2*x^30*y - 2*x^30*z0 + x^28*y*z0^2 - 2*x^28*z0^3 - 2*x^29*y - x^29*z0 - x^27*y*z0^2 - 2*x^27*z0^3 + x^25*y*z0^4 - 2*x^28*y + 2*x^28*z0 + x^26*y^2*z0 + 2*x^26*z0^3 - x^24*y*z0^4 - x^27*y - 2*x^27*z0 + 2*x^25*y*z0^2 - x^25*z0^3 + x^26*y - 2*x^26*z0 + x^24*y*z0^2 + 2*x^24*z0^3 - 2*x^22*y*z0^4 - x^25*z0 + 2*x^23*y*z0^2 + x^23*z0^3 - 2*x^21*y*z0^4 + x^24*y + 2*x^20*y*z0^4 - 2*x^23*y + x^23*z0 - x^21*y*z0^2 + x^21*z0^3 - 2*x^19*y*z0^4 + x^22*z0 + 2*x^20*y*z0^2 - 2*x^20*z0^3 + 2*x^21*y + x^19*y*z0^2 - x^19*z0^3 - x^18*y*z0^2 + x^18*z0^3 - 2*x^16*y*z0^4 - 2*x^17*y*z0^2 - 2*x^17*z0^3 - 2*x^15*y*z0^4 + 2*x^16*y*z0^2 + x^16*z0^3 - 2*x^17*y + x^15*y*z0^2 - 2*x^16*y + x^16*z0 + 2*x^14*y*z0^2 - x^14*z0^3 - x^12*y*z0^4 - 2*x^15*y - x^13*y*z0^2 + 2*x^13*z0^3 + 2*x^11*y*z0^4 - 2*x^14*y - x^14*z0 - 2*x^12*z0^3 + 2*x^13*y + x^13*z0 - 2*x^11*y*z0^2 + x^11*z0^3 + x^9*y*z0^4 - x^12*z0 - 2*x^10*y*z0^2 - x^10*z0^3 - x^8*y*z0^4 - x^11*y + x^11*z0 + x^9*y*z0^2 + x^9*z0^3 - 2*x^7*y*z0^4 - 2*x^10*y - 2*x^10*z0 + x^8*y*z0^2 + 2*x^8*z0^3 - 2*x^6*y*z0^4 - x^9*y + x^9*z0 + x^7*y*z0^2 + x^7*z0^3 - x^5*y*z0^4 - 2*x^8*z0 + 2*x^6*y*z0^2 - x^6*z0^3 + x^4*y*z0^4 + 2*x^7*y + 2*x^7*z0 - 2*x^5*y*z0^2 - x^5*z0^3 + x^3*y*z0^4 + x^6*y + x^6*z0 - 2*x^4*z0^3 - x^2*y*z0^4 - x^5*y + x^5*z0 - 2*x^3*y*z0^2 - x^4*y + x^2*y*z0^2 + 2*x^2*z0^3 + x^3*z0)/y) * dx,
+ ((-2*x^61*z0^4 - x^60*z0^4 + 2*x^58*y^2*z0^4 + x^61*z0^2 + x^57*y^2*z0^4 - x^60*z0^2 - x^58*y^2*z0^2 + 2*x^58*z0^4 + 2*x^61 + x^57*y^2*z0^2 + x^57*z0^4 + 2*x^60 - 2*x^58*y^2 - x^58*z0^2 - 2*x^57*y^2 + x^57*z0^2 - 2*x^55*z0^4 - 2*x^58 - x^54*z0^4 - 2*x^57 + x^55*z0^2 - x^54*z0^2 + 2*x^52*z0^4 + 2*x^55 + x^51*z0^4 + 2*x^54 - x^52*z0^2 + x^51*z0^2 - 2*x^49*z0^4 - 2*x^52 - x^48*z0^4 - 2*x^51 + x^49*z0^2 - x^48*z0^2 + 2*x^46*z0^4 + 2*x^49 + x^45*z0^4 + 2*x^48 - x^46*z0^2 + x^45*z0^2 - 2*x^43*z0^4 - 2*x^46 - x^42*z0^4 - 2*x^45 + x^43*z0^2 - x^41*z0^4 - x^42*z0^2 - x^40*y*z0^3 + 2*x^40*z0^4 + 2*x^43 + x^41*z0^2 + x^39*y*z0^3 + 2*x^42 - 2*x^40*y*z0 + 2*x^40*z0^2 + x^38*y*z0^3 - 2*x^38*z0^4 - x^41 - x^37*y*z0^3 + x^37*z0^4 + 2*x^40 + 2*x^38*z0^2 - 2*x^36*y*z0^3 - 2*x^36*z0^4 + x^39 - 2*x^37*y*z0 + x^37*z0^2 - 2*x^35*y*z0^3 - x^35*z0^4 - 2*x^38 + 2*x^36*y*z0 - x^34*y*z0^3 + x^37 + 2*x^35*y*z0 - 2*x^35*z0^2 - x^33*y*z0^3 + 2*x^33*z0^4 - x^34*y*z0 - 2*x^32*y*z0^3 + 2*x^32*z0^4 + 2*x^35 + x^33*y*z0 - x^33*z0^2 + x^31*y*z0^3 + 2*x^31*z0^4 - x^34 + x^32*y*z0 + 2*x^32*z0^2 + 2*x^33 - 2*x^31*y*z0 - x^31*z0^2 + x^29*y*z0^3 - x^29*z0^4 + 2*x^32 + 2*x^30*z0^2 - 2*x^28*y*z0^3 - x^28*z0^4 + x^31 - 2*x^29*z0^2 + x^27*y*z0^3 + x^27*z0^4 + 2*x^30 + 2*x^28*z0^2 + x^26*y^2*z0^2 + 2*x^26*y*z0^3 - 2*x^26*z0^4 + 2*x^27*y*z0 + x^27*z0^2 - x^25*y*z0^3 - x^25*z0^4 - x^28 + 2*x^26*y*z0 - 2*x^24*y*z0^3 + x^24*z0^4 - x^25*y*z0 + 2*x^25*z0^2 + x^23*y*z0^3 + 2*x^23*z0^4 + 2*x^26 + 2*x^24*y*z0 - 2*x^24*z0^2 + 2*x^22*y*z0^3 - x^25 - 2*x^23*y*z0 + x^23*z0^2 + x^21*z0^4 - 2*x^24 + 2*x^22*y*z0 - x^22*z0^2 - x^20*z0^4 + 2*x^23 - x^21*z0^2 + x^19*y*z0^3 - x^20*y*z0 - x^18*y*z0^3 + x^18*z0^4 + 2*x^21 + x^19*y*z0 - 2*x^19*z0^2 + x^17*y*z0^3 - x^17*z0^4 + 2*x^20 - 2*x^16*y*z0^3 + 2*x^16*z0^4 + x^19 - x^17*y*z0 + x^17*z0^2 - 2*x^15*y*z0^3 + 2*x^15*z0^4 - 2*x^18 - 2*x^16*y*z0 - 2*x^16*z0^2 + 2*x^14*y*z0^3 - x^14*z0^4 - x^17 + x^15*y*z0 + x^15*z0^2 + x^13*z0^4 + 2*x^14*y*z0 + 2*x^12*y*z0^3 - 2*x^12*z0^4 - 2*x^13*y*z0 + 2*x^13*z0^2 + x^11*y*z0^3 + x^11*z0^4 - 2*x^12*y*z0 - 2*x^12*z0^2 - 2*x^10*y*z0^3 - x^10*z0^4 + x^13 + x^11*y*z0 + x^11*z0^2 - 2*x^9*y*z0^3 + 2*x^9*z0^4 + 2*x^10*y*z0 - x^10*z0^2 + x^8*y*z0^3 + x^11 + x^9*z0^2 - 2*x^7*y*z0^3 + 2*x^7*z0^4 + x^10 - 2*x^8*y*z0 - 2*x^8*z0^2 - x^6*y*z0^3 + x^6*z0^4 + 2*x^9 - x^7*y*z0 - 2*x^7*z0^2 - x^5*y*z0^3 + x^5*z0^4 + 2*x^8 + 2*x^6*y*z0 + x^6*z0^2 + 2*x^4*y*z0^3 - x^4*z0^4 + x^7 - x^5*z0^2 - 2*x^3*z0^4 + 2*x^4*y*z0 - x^4*z0^2 + x^5 - x^3*y*z0 + x^3*z0^2 - 2*x^2*y*z0 + x^2*z0^2 + x^3 + x^2)/y) * dx,
+ ((-x^61*z0^3 - 2*x^60*z0^3 + x^58*y^2*z0^3 + 2*x^57*y^2*z0^3 - 2*x^60*z0 + x^58*z0^3 + x^59*z0 + 2*x^57*y^2*z0 - x^56*y^2*z0 + 2*x^54*y^2*z0^3 + 2*x^57*z0 - x^55*z0^3 - x^56*z0 - 2*x^54*z0 + x^52*z0^3 + x^53*z0 + 2*x^51*z0 - x^49*z0^3 - x^50*z0 - 2*x^48*z0 + x^46*z0^3 + x^47*z0 + 2*x^45*z0 - x^43*z0^3 - x^44*z0 - x^41*z0^3 - x^39*y*z0^4 - 2*x^42*z0 + 2*x^40*y*z0^2 - 2*x^40*z0^3 + x^41*z0 + 2*x^39*z0^3 + 2*x^37*y*z0^4 - x^40*z0 - 2*x^38*y*z0^2 - 2*x^38*z0^3 + 2*x^36*y*z0^4 - 2*x^39*y - x^39*z0 + 2*x^37*y*z0^2 + 2*x^37*z0^3 - 2*x^35*y*z0^4 + x^38*y + 2*x^36*y*z0^2 - 2*x^36*z0^3 + 2*x^37*z0 + 2*x^35*y*z0^2 - x^33*y*z0^4 - x^36*y - x^36*z0 + 2*x^34*y*z0^2 - x^34*z0^3 + x^32*y*z0^4 - 2*x^35*z0 + 2*x^33*y*z0^2 - 2*x^33*z0^3 + 2*x^31*y*z0^4 - x^34*z0 - 2*x^32*y*z0^2 + x^32*z0^3 - x^30*y*z0^4 + 2*x^33*y + x^33*z0 + 2*x^31*y*z0^2 + x^29*y*z0^4 + 2*x^32*y + 2*x^32*z0 + 2*x^30*y*z0^2 - 2*x^30*z0^3 - x^28*y*z0^4 + x^31*y - 2*x^29*y*z0^2 - 2*x^29*z0^3 - x^30*y - x^30*z0 + x^26*y^2*z0^3 + x^29*y + 2*x^29*z0 - x^27*y*z0^2 - 2*x^27*z0^3 - x^28*y + 2*x^26*y*z0^2 - 2*x^26*z0^3 + 2*x^27*z0 - x^25*y*z0^2 - 2*x^25*z0^3 - x^23*y*z0^4 - x^26*y - x^26*z0 - 2*x^24*y*z0^2 - x^24*z0^3 - 2*x^22*y*z0^4 - 2*x^25*y + x^25*z0 - 2*x^23*y*z0^2 - 2*x^23*z0^3 - x^21*y*z0^4 - 2*x^22*y*z0^2 + 2*x^22*z0^3 + 2*x^23*y - x^21*y*z0^2 + 2*x^21*z0^3 - x^19*y*z0^4 - 2*x^22*y + x^22*z0 + 2*x^20*y*z0^2 + x^20*z0^3 + x^18*y*z0^4 + 2*x^21*y + x^21*z0 + 2*x^19*y*z0^2 - 2*x^19*z0^3 - x^17*y*z0^4 + x^20*y + 2*x^20*z0 + x^18*z0^3 + x^19*y - 2*x^19*z0 - 2*x^17*y*z0^2 - 2*x^15*y*z0^4 + 2*x^18*y + x^18*z0 + x^16*y*z0^2 + 2*x^16*z0^3 - x^14*y*z0^4 + 2*x^17*y - 2*x^17*z0 + 2*x^15*z0^3 + 2*x^13*y*z0^4 - 2*x^16*y + x^16*z0 + 2*x^14*y*z0^2 + x^14*z0^3 + 2*x^12*y*z0^4 + 2*x^15*y - 2*x^15*z0 + x^13*y*z0^2 + 2*x^13*z0^3 + x^11*y*z0^4 - 2*x^14*y + x^14*z0 + x^12*z0^3 + 2*x^10*y*z0^4 - x^13*y - 2*x^13*z0 + x^11*y*z0^2 + x^11*z0^3 + 2*x^9*y*z0^4 + 2*x^12*y - 2*x^12*z0 + 2*x^10*y*z0^2 - 2*x^10*z0^3 - 2*x^8*y*z0^4 + 2*x^11*z0 - x^9*z0^3 - 2*x^7*y*z0^4 - 2*x^10*y - x^10*z0 - 2*x^8*y*z0^2 - 2*x^8*z0^3 - x^6*y*z0^4 - 2*x^9*y - 2*x^9*z0 + x^7*y*z0^2 - 2*x^5*y*z0^4 + 2*x^8*y + x^8*z0 + 2*x^6*z0^3 + x^7*y + 2*x^7*z0 - 2*x^5*y*z0^2 + 2*x^5*z0^3 - x^3*y*z0^4 + 2*x^6*z0 + x^4*y*z0^2 - x^2*y*z0^4 - x^5*y + 2*x^3*y*z0^2 + 2*x^3*z0^3 - x^4*y - x^4*z0 - 2*x^2*y*z0^2 - x^3*y - 2*x^3*z0 + 2*x^2*y)/y) * dx,
+ ((-2*x^61*z0^4 + x^60*z0^4 + 2*x^58*y^2*z0^4 + 2*x^61*z0^2 + x^59*z0^4 - x^57*y^2*z0^4 + x^60*z0^2 - 2*x^58*y^2*z0^2 + 2*x^58*z0^4 - x^56*y^2*z0^4 - x^61 - x^57*y^2*z0^2 - x^57*z0^4 - x^60 + x^58*y^2 - 2*x^58*z0^2 - x^56*z0^4 + x^57*y^2 - x^57*z0^2 - 2*x^55*z0^4 + x^58 + x^54*z0^4 + x^57 + 2*x^55*z0^2 + x^53*z0^4 + x^54*z0^2 + 2*x^52*z0^4 - x^55 - x^51*z0^4 - x^54 - 2*x^52*z0^2 - x^50*z0^4 - x^51*z0^2 - 2*x^49*z0^4 + x^52 + x^48*z0^4 + x^51 + 2*x^49*z0^2 + x^47*z0^4 + x^48*z0^2 + 2*x^46*z0^4 - x^49 - x^45*z0^4 - x^48 - 2*x^46*z0^2 - x^44*z0^4 - x^45*z0^2 - 2*x^43*z0^4 + x^46 + x^42*z0^4 + x^45 + 2*x^43*z0^2 + x^41*z0^4 + x^42*z0^2 - x^40*y*z0^3 - 2*x^40*z0^4 - x^43 + 2*x^41*z0^2 + 2*x^39*y*z0^3 + 2*x^39*z0^4 - x^42 + x^40*y*z0 - 2*x^40*z0^2 - x^38*y*z0^3 - 2*x^39*y*z0 + 2*x^39*z0^2 - x^40 + 2*x^38*y*z0 - x^38*z0^2 + x^36*y*z0^3 + 2*x^36*z0^4 + x^39 + 2*x^35*y*z0^3 - x^35*z0^4 + 2*x^38 - x^36*y*z0 - 2*x^36*z0^2 + x^34*y*z0^3 + 2*x^34*z0^4 + 2*x^37 - x^35*y*z0 + 2*x^35*z0^2 + 2*x^33*z0^4 - 2*x^36 + x^34*y*z0 + 2*x^32*y*z0^3 - x^32*z0^4 - x^35 - x^33*z0^2 + 2*x^31*y*z0^3 + 2*x^31*z0^4 + x^34 + x^32*y*z0 - x^32*z0^2 - x^30*y*z0^3 - 2*x^33 + 2*x^31*y*z0 + 2*x^31*z0^2 + 2*x^29*y*z0^3 - x^29*z0^4 + 2*x^30*y*z0 - 2*x^30*z0^2 - 2*x^28*y*z0^3 + x^28*z0^4 + x^26*y^2*z0^4 - x^31 + x^29*y*z0 - 2*x^29*z0^2 - x^27*y*z0^3 + 2*x^27*z0^4 - x^30 - x^26*y*z0^3 + x^29 + 2*x^27*y*z0 + 2*x^27*z0^2 + x^25*y*z0^3 + x^25*z0^4 + 2*x^28 + 2*x^26*y*z0 + x^26*z0^2 + 2*x^24*y*z0^3 - x^27 - 2*x^25*y*z0 + 2*x^23*y*z0^3 + x^26 + x^24*y*z0 + x^22*z0^4 - x^25 + x^23*y*z0 + 2*x^23*z0^2 + 2*x^21*y*z0^3 - x^21*z0^4 - x^24 + 2*x^22*y*z0 - x^22*z0^2 + 2*x^20*y*z0^3 + 2*x^21*y*z0 + x^21*z0^2 + 2*x^19*z0^4 - 2*x^22 - x^20*z0^2 + x^18*y*z0^3 - x^18*z0^4 + 2*x^21 + x^19*y*z0 - x^19*z0^2 - 2*x^17*z0^4 - 2*x^18*y*z0 - x^18*z0^2 + x^16*y*z0^3 + x^16*z0^4 - x^19 - 2*x^17*y*z0 + 2*x^17*z0^2 + x^15*y*z0^3 - 2*x^15*z0^4 - x^18 + 2*x^16*y*z0 - 2*x^16*z0^2 - 2*x^14*y*z0^3 - x^17 - x^15*y*z0 + 2*x^15*z0^2 - 2*x^13*y*z0^3 + x^13*z0^4 + 2*x^16 - 2*x^14*y*z0 - 2*x^14*z0^2 - 2*x^12*y*z0^3 - x^12*z0^4 - x^15 - x^13*y*z0 + 2*x^13*z0^2 - 2*x^11*y*z0^3 - 2*x^11*z0^4 - x^14 + 2*x^12*y*z0 - x^10*y*z0^3 - x^10*z0^4 + 2*x^13 - 2*x^11*z0^2 - x^9*y*z0^3 - 2*x^9*z0^4 + 2*x^12 + 2*x^10*y*z0 - x^8*y*z0^3 + 2*x^8*z0^4 - x^11 - 2*x^9*y*z0 - 2*x^9*z0^2 + x^7*y*z0^3 + 2*x^7*z0^4 - 2*x^8*y*z0 - 2*x^6*y*z0^3 - x^7*y*z0 - x^7*z0^2 - x^5*y*z0^3 + 2*x^8 - 2*x^6*y*z0 - 2*x^6*z0^2 - x^4*y*z0^3 - 2*x^5*y*z0 + 2*x^5*z0^2 - x^3*y*z0^3 + 2*x^3*z0^4 + x^6 - 2*x^4*y*z0 + x^4*z0^2 + 2*x^2*y*z0^3 - x^2*z0^4 - 2*x^5 - x^3*z0^2 - 2*x^2*y*z0 + 2*x^2*z0^2 - 2*x^3 + x^2)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-2*x^61*z0^4 + 2*x^58*y^2*z0^4 - x^61*z0^2 + x^58*y^2*z0^2 + 2*x^58*z0^4 - x^61 - x^60 + x^58*y^2 + x^58*z0^2 + x^57*y^2 - 2*x^55*z0^4 + x^58 + x^57 - x^55*z0^2 + 2*x^52*z0^4 - x^55 - x^54 + x^52*z0^2 - 2*x^49*z0^4 + x^52 + x^51 - x^49*z0^2 + 2*x^46*z0^4 - x^49 - x^48 + x^46*z0^2 - 2*x^43*z0^4 + x^46 + x^45 - x^43*z0^2 - x^40*y*z0^3 - x^43 - x^41*z0^2 - x^39*y*z0^3 + x^39*z0^4 - x^42 + 2*x^40*y*z0 - x^40*z0^2 + 2*x^38*y*z0^3 + x^39*z0^2 - 2*x^37*z0^4 + 2*x^40 - 2*x^38*z0^2 + 2*x^36*y*z0^3 + 2*x^39 - 2*x^37*y*z0 - 2*x^37*z0^2 - 2*x^35*z0^4 - x^36*z0^2 + 2*x^34*z0^4 + 2*x^37 - 2*x^35*y*z0 + 2*x^35*z0^2 + 2*x^33*y*z0^3 - x^33*z0^4 + 2*x^36 - x^34*y*z0 - 2*x^34*z0^2 - x^32*y*z0^3 - 2*x^32*z0^4 + x^35 + 2*x^33*y*z0 - 2*x^33*z0^2 - x^31*y*z0^3 - x^31*z0^4 + x^32*y*z0 + 2*x^32*z0^2 - 2*x^30*z0^4 - x^33 + 2*x^31*y*z0 - x^31*z0^2 + 2*x^29*y*z0^3 - x^32 - x^30*y*z0 - x^30*z0^2 - 2*x^31 - 2*x^29*y*z0 + x^29*z0^2 - 2*x^27*z0^4 + 2*x^28*y*z0 + x^28*z0^2 - 2*x^26*y*z0^3 + x^29 + x^27*y^2 + 2*x^27*z0^2 + x^25*y*z0^3 - 2*x^25*z0^4 + x^28 - x^26*y*z0 + x^26*z0^2 - 2*x^24*z0^4 + 2*x^27 - 2*x^25*y*z0 - x^25*z0^2 - x^23*y*z0^3 + x^23*z0^4 + 2*x^26 - 2*x^24*y*z0 - x^24*z0^2 - x^22*z0^4 - x^25 + x^23*y*z0 + 2*x^23*z0^2 - x^21*y*z0^3 + x^24 - 2*x^22*z0^2 + 2*x^20*y*z0^3 - 2*x^20*z0^4 - 2*x^21*y*z0 + 2*x^21*z0^2 - 2*x^19*y*z0^3 + x^19*z0^4 + 2*x^20*y*z0 + x^20*z0^2 + x^18*y*z0^3 + 2*x^18*z0^4 - 2*x^21 - 2*x^19*y*z0 + x^19*z0^2 + x^17*y*z0^3 - x^17*z0^4 - 2*x^20 - x^18*y*z0 + 2*x^18*z0^2 + 2*x^16*y*z0^3 - 2*x^16*z0^4 + 2*x^19 + x^17*y*z0 - x^17*z0^2 + x^15*y*z0^3 - x^15*z0^4 + 2*x^18 + x^16*z0^2 - 2*x^14*y*z0^3 - 2*x^14*z0^4 + x^15*y*z0 - 2*x^15*z0^2 - x^13*y*z0^3 + 2*x^13*z0^4 - 2*x^16 + 2*x^14*y*z0 - x^14*z0^2 + x^12*z0^4 - x^15 - 2*x^13*y*z0 + 2*x^13*z0^2 + x^11*z0^4 + 2*x^14 + x^12*y*z0 - x^12*z0^2 - 2*x^10*y*z0^3 + x^10*z0^4 - 2*x^11*y*z0 + x^11*z0^2 - 2*x^9*y*z0^3 + 2*x^9*z0^4 + 2*x^12 + 2*x^10*y*z0 + x^10*z0^2 + 2*x^8*y*z0^3 - 2*x^8*z0^4 + x^11 - 2*x^9*y*z0 - x^9*z0^2 - x^7*y*z0^3 + 2*x^7*z0^4 - x^8*y*z0 - 2*x^8*z0^2 - 2*x^6*y*z0^3 + x^6*z0^4 - x^7*y*z0 + x^7*z0^2 + 2*x^5*y*z0^3 + 2*x^5*z0^4 - x^8 + 2*x^6*y*z0 + 2*x^6*z0^2 - x^4*y*z0^3 + 2*x^4*z0^4 + 2*x^5*y*z0 - 2*x^5*z0^2 - x^3*y*z0^3 - 2*x^6 - x^2*y*z0^3 + 2*x^2*z0^4 - x^5 - 2*x^3*y*z0 + x^3*z0^2 - x^2*y*z0 + 2*x^2*z0^2 - x^3 + x^2)/y) * dx,
+ ((2*x^61*z0^3 + 2*x^60*z0^3 - 2*x^58*y^2*z0^3 + x^61*z0 - x^59*z0^3 - 2*x^57*y^2*z0^3 - x^58*y^2*z0 - x^58*z0^3 + x^56*y^2*z0^3 - 2*x^59*z0 + x^57*z0^3 - x^55*y^2*z0^3 - x^58*z0 + 2*x^56*y^2*z0 + x^56*z0^3 + 2*x^54*y^2*z0^3 + x^55*z0^3 + 2*x^56*z0 - x^54*z0^3 + x^55*z0 - x^53*z0^3 - x^52*z0^3 - 2*x^53*z0 + x^51*z0^3 - x^52*z0 + x^50*z0^3 + x^49*z0^3 + 2*x^50*z0 - x^48*z0^3 + x^49*z0 - x^47*z0^3 - x^46*z0^3 - 2*x^47*z0 + x^45*z0^3 - x^46*z0 + x^44*z0^3 + x^43*z0^3 + 2*x^44*z0 - x^42*z0^3 + x^43*z0 + x^41*z0^3 + 2*x^39*y*z0^4 + x^40*y*z0^2 - 2*x^38*y*z0^4 - x^41*z0 + x^39*y*z0^2 - 2*x^40*y - x^40*z0 + x^38*y*z0^2 - x^38*z0^3 - x^36*y*z0^4 - 2*x^39*y + 2*x^37*y*z0^2 + x^37*z0^3 + x^35*y*z0^4 - 2*x^38*y + 2*x^38*z0 - x^36*y*z0^2 + 2*x^36*z0^3 + x^37*y + x^37*z0 + x^35*y*z0^2 + 2*x^35*z0^3 + x^36*y - x^36*z0 + 2*x^34*y*z0^2 - 2*x^34*z0^3 - x^35*y + 2*x^35*z0 - 2*x^33*y*z0^2 - 2*x^33*z0^3 + 2*x^31*y*z0^4 - 2*x^34*y + 2*x^34*z0 - 2*x^32*y*z0^2 - 2*x^32*z0^3 - 2*x^33*y - x^33*z0 + x^31*y*z0^2 + x^31*z0^3 - x^29*y*z0^4 - 2*x^32*y + x^32*z0 - 2*x^30*y*z0^2 - 2*x^31*z0 - x^29*y*z0^2 + x^29*z0^3 - 2*x^27*y*z0^4 + x^30*y - 2*x^30*z0 + x^28*z0^3 + 2*x^26*y*z0^4 - 2*x^29*y - 2*x^29*z0 + x^27*y^2*z0 + 2*x^27*y*z0^2 - x^25*y*z0^4 + 2*x^28*z0 + 2*x^26*y*z0^2 + x^26*z0^3 + x^24*y*z0^4 + 2*x^27*z0 + x^25*y*z0^2 - 2*x^23*y*z0^4 - x^26*y - 2*x^26*z0 + x^24*y*z0^2 - x^24*z0^3 + x^22*y*z0^4 + 2*x^25*y - x^25*z0 - x^23*y*z0^2 - 2*x^23*z0^3 - 2*x^21*y*z0^4 + x^24*y - 2*x^24*z0 - x^22*z0^3 + x^20*y*z0^4 - 2*x^23*y - x^23*z0 + 2*x^21*y*z0^2 + x^21*z0^3 + 2*x^22*y - 2*x^20*y*z0^2 + x^20*z0^3 + 2*x^21*y + x^21*z0 - x^19*y*z0^2 + 2*x^19*z0^3 + x^20*y - x^20*z0 - 2*x^18*y*z0^2 + 2*x^16*y*z0^4 + x^19*y + 2*x^19*z0 + x^17*y*z0^2 - 2*x^17*z0^3 + 2*x^15*y*z0^4 + x^18*y + x^18*z0 - 2*x^16*z0^3 + x^14*y*z0^4 - 2*x^17*y - x^17*z0 + x^15*y*z0^2 - 2*x^16*y + x^16*z0 - 2*x^14*y*z0^2 - x^14*z0^3 + 2*x^12*y*z0^4 + 2*x^15*y + x^13*z0^3 + x^11*y*z0^4 + x^14*y - 2*x^14*z0 + x^12*y*z0^2 - x^12*z0^3 - 2*x^13*z0 - x^11*y*z0^2 - x^11*z0^3 - 2*x^12*y - 2*x^12*z0 - 2*x^10*y*z0^2 + x^10*z0^3 + 2*x^8*y*z0^4 - 2*x^11*y - x^11*z0 - x^9*y*z0^2 + x^10*y + x^10*z0 + 2*x^8*y*z0^2 + x^8*z0^3 + x^9*y + x^7*z0^3 - 2*x^8*y - 2*x^8*z0 - x^6*z0^3 + x^4*y*z0^4 + x^7*y + 2*x^7*z0 + 2*x^5*y*z0^2 + x^5*z0^3 - 2*x^6*y + 2*x^6*z0 - 2*x^4*y*z0^2 + 2*x^4*z0^3 - 2*x^2*y*z0^4 + x^5*y - 2*x^5*z0 - x^3*z0^3 - 2*x^4*z0 + 2*x^2*y*z0^2 - 2*x^3*y - 2*x^3*z0 + 2*x^2*y)/y) * dx,
+ ((-2*x^60*z0^4 + x^59*z0^4 + 2*x^57*y^2*z0^4 - x^60*z0^2 - x^56*y^2*z0^4 - 2*x^61 + x^57*y^2*z0^2 + 2*x^57*z0^4 - 2*x^60 + 2*x^58*y^2 - x^56*z0^4 + 2*x^57*y^2 + x^57*z0^2 + 2*x^58 - 2*x^54*z0^4 + 2*x^57 + x^53*z0^4 - x^54*z0^2 - 2*x^55 + 2*x^51*z0^4 - 2*x^54 - x^50*z0^4 + x^51*z0^2 + 2*x^52 - 2*x^48*z0^4 + 2*x^51 + x^47*z0^4 - x^48*z0^2 - 2*x^49 + 2*x^45*z0^4 - 2*x^48 - x^44*z0^4 + x^45*z0^2 + 2*x^46 - 2*x^42*z0^4 + 2*x^45 - x^42*z0^2 - 2*x^40*z0^4 - 2*x^43 + 2*x^39*z0^4 - 2*x^42 - 2*x^40*z0^2 - x^38*y*z0^3 - 2*x^38*z0^4 - x^41 + 2*x^39*y*z0 + x^39*z0^2 + 2*x^37*y*z0^3 + x^37*z0^4 - 2*x^38*y*z0 - 2*x^36*z0^4 - x^39 - 2*x^37*y*z0 - x^37*z0^2 + x^35*y*z0^3 + x^35*z0^4 + 2*x^36*y*z0 - x^36*z0^2 - x^34*y*z0^3 - 2*x^34*z0^4 - x^37 + x^35*y*z0 - x^35*z0^2 + x^33*y*z0^3 + 2*x^33*z0^4 + x^36 + x^34*y*z0 - 2*x^34*z0^2 + x^35 + 2*x^33*y*z0 - 2*x^33*z0^2 + 2*x^34 - 2*x^32*y*z0 + x^30*z0^4 - x^33 + 2*x^31*y*z0 - x^31*z0^2 - x^29*y*z0^3 + 2*x^32 - x^30*y*z0 - 2*x^30*z0^2 + x^28*y*z0^3 + x^28*z0^4 - x^31 - 2*x^29*y*z0 - x^29*z0^2 + x^27*y^2*z0^2 + x^27*z0^4 - 2*x^30 - x^28*y*z0 - x^26*y*z0^3 - x^26*z0^4 - x^29 + x^27*y*z0 + 2*x^25*y*z0^3 + x^25*z0^4 - x^28 + x^26*y*z0 - x^26*z0^2 - 2*x^24*y*z0^3 + x^24*z0^4 + 2*x^27 + x^23*y*z0^3 + x^23*z0^4 - 2*x^24*y*z0 + 2*x^24*z0^2 + x^22*y*z0^3 + 2*x^22*z0^4 - 2*x^23*y*z0 + x^23*z0^2 - 2*x^21*y*z0^3 - x^21*z0^4 + x^24 + 2*x^22*z0^2 + x^20*z0^4 - 2*x^21*y*z0 - x^21*z0^2 - x^19*y*z0^3 + 2*x^19*z0^4 + x^22 - 2*x^20*y*z0 - 2*x^20*z0^2 + x^18*y*z0^3 - x^18*z0^4 + x^21 - 2*x^19*y*z0 - x^19*z0^2 + x^17*y*z0^3 + 2*x^17*z0^4 + x^20 + 2*x^18*y*z0 - x^18*z0^2 + 2*x^19 + 2*x^17*y*z0 - 2*x^17*z0^2 + x^15*y*z0^3 + 2*x^15*z0^4 - x^18 + x^16*y*z0 + x^16*z0^2 - 2*x^14*y*z0^3 + x^14*z0^4 - x^17 + x^15*y*z0 + 2*x^13*z0^4 - 2*x^16 + x^14*z0^2 + 2*x^12*y*z0^3 - 2*x^12*z0^4 - x^15 + x^13*y*z0 + 2*x^13*z0^2 - x^11*y*z0^3 + 2*x^11*z0^4 + 2*x^14 - x^12*y*z0 + 2*x^10*y*z0^3 - x^10*z0^4 + 2*x^13 - x^11*z0^2 - 2*x^9*y*z0^3 + x^9*z0^4 + x^10*y*z0 + x^10*z0^2 - x^11 - 2*x^9*y*z0 - x^9*z0^2 + 2*x^7*y*z0^3 - 2*x^7*z0^4 - 2*x^10 - 2*x^8*z0^2 + x^6*z0^4 - x^9 + x^7*y*z0 - x^7*z0^2 - x^5*y*z0^3 + 2*x^5*z0^4 - x^8 - x^6*y*z0 + x^6*z0^2 + x^4*y*z0^3 + 2*x^4*z0^4 - 2*x^7 - 2*x^5*y*z0 - x^3*y*z0^3 + 2*x^4*y*z0 + 2*x^2*y*z0^3 + 2*x^2*z0^4 + x^5 + x^3*y*z0 + 2*x^3*z0^2 - 2*x^2*z0^2 - x^3)/y) * dx,
+ ((x^61*z0^3 - x^58*y^2*z0^3 - 2*x^61*z0 + x^59*z0^3 - x^60*z0 + 2*x^58*y^2*z0 - x^56*y^2*z0^3 - 2*x^59*z0 + x^57*y^2*z0 - 2*x^57*z0^3 - x^55*y^2*z0^3 + 2*x^58*z0 + 2*x^56*y^2*z0 - x^56*z0^3 + 2*x^54*y^2*z0^3 + x^57*z0 + 2*x^56*z0 + 2*x^54*z0^3 - 2*x^55*z0 + x^53*z0^3 - x^54*z0 - 2*x^53*z0 - 2*x^51*z0^3 + 2*x^52*z0 - x^50*z0^3 + x^51*z0 + 2*x^50*z0 + 2*x^48*z0^3 - 2*x^49*z0 + x^47*z0^3 - x^48*z0 - 2*x^47*z0 - 2*x^45*z0^3 + 2*x^46*z0 - x^44*z0^3 + x^45*z0 + 2*x^44*z0 + 2*x^42*z0^3 - 2*x^43*z0 + 2*x^41*z0^3 + x^39*y*z0^4 - x^42*z0 - 2*x^40*y*z0^2 - 2*x^40*z0^3 - x^38*y*z0^4 + x^41*z0 - 2*x^39*y*z0^2 + 2*x^39*z0^3 + 2*x^37*y*z0^4 - x^40*y - x^40*z0 + x^38*y*z0^2 + 2*x^38*z0^3 + x^39*y - x^39*z0 - 2*x^37*y*z0^2 + x^37*z0^3 + 2*x^35*y*z0^4 + x^38*y + x^38*z0 + x^36*z0^3 + x^34*y*z0^4 - 2*x^37*y - x^37*z0 + x^35*y*z0^2 - x^35*z0^3 + x^33*y*z0^4 - x^36*y + x^34*y*z0^2 - 2*x^34*z0^3 + 2*x^35*y + 2*x^35*z0 + x^33*y*z0^2 - x^33*z0^3 + 2*x^31*y*z0^4 - x^34*y - x^34*z0 - 2*x^32*y*z0^2 + 2*x^32*z0^3 + 2*x^30*y*z0^4 + 2*x^33*y - x^33*z0 - 2*x^31*y*z0^2 + 2*x^31*z0^3 - x^29*y*z0^4 - 2*x^32*z0 + 2*x^30*y*z0^2 - x^28*y*z0^4 + x^31*y + x^31*z0 + 2*x^29*z0^3 + x^27*y^2*z0^3 - x^27*y*z0^4 + x^30*y - x^28*y*z0^2 - x^28*z0^3 + x^29*y - 2*x^29*z0 + 2*x^27*y*z0^2 - 2*x^27*z0^3 - x^25*y*z0^4 + 2*x^28*y - 2*x^28*z0 + x^26*y*z0^2 + 2*x^26*z0^3 + x^24*y*z0^4 + x^27*z0 - x^25*z0^3 - 2*x^23*y*z0^4 - 2*x^26*y - x^24*y*z0^2 + x^24*z0^3 - 2*x^22*y*z0^4 - x^25*y + 2*x^23*y*z0^2 + 2*x^23*z0^3 - x^24*y + 2*x^24*z0 - x^22*y*z0^2 + x^22*z0^3 + 2*x^20*y*z0^4 + x^23*z0 + x^21*y*z0^2 + x^21*z0^3 + 2*x^19*y*z0^4 + 2*x^22*z0 + x^20*z0^3 + x^18*y*z0^4 + 2*x^21*y + 2*x^21*z0 + x^17*y*z0^4 - 2*x^20*y + 2*x^20*z0 - 2*x^18*y*z0^2 - x^16*y*z0^4 - 2*x^19*y - x^19*z0 - 2*x^17*y*z0^2 - 2*x^17*z0^3 - 2*x^15*y*z0^4 - 2*x^18*y + 2*x^18*z0 - x^16*y*z0^2 - x^16*z0^3 + x^14*y*z0^4 - 2*x^17*y + 2*x^17*z0 - 2*x^15*y*z0^2 + x^15*z0^3 - 2*x^13*y*z0^4 + 2*x^16*y - x^16*z0 + x^14*y*z0^2 + x^14*z0^3 - 2*x^15*z0 + x^13*y*z0^2 + x^13*z0^3 - 2*x^11*y*z0^4 + 2*x^14*z0 - x^12*y*z0^2 + 2*x^12*z0^3 - x^13*y - x^11*z0^3 + 2*x^9*y*z0^4 + 2*x^12*y - 2*x^12*z0 - x^10*z0^3 - 2*x^8*y*z0^4 + x^11*z0 + x^9*y*z0^2 - 2*x^7*y*z0^4 - x^10*y - x^10*z0 - x^8*y*z0^2 - x^8*z0^3 + 2*x^6*y*z0^4 - x^9*y - x^7*y*z0^2 + 2*x^7*z0^3 - x^8*y - x^8*z0 - 2*x^6*y*z0^2 + x^6*z0^3 + 2*x^4*y*z0^4 - 2*x^7*y - 2*x^7*z0 + 2*x^5*y*z0^2 - x^5*z0^3 - x^3*y*z0^4 - 2*x^6*y + 2*x^6*z0 - 2*x^4*y*z0^2 + 2*x^2*y*z0^4 - x^3*y*z0^2 - 2*x^3*z0^3 + 2*x^4*y + x^4*z0 + 2*x^2*y*z0^2 - 2*x^2*z0^3 + x^3*y - x^2*y + 2*x^2*z0)/y) * dx,
+ ((2*x^61*z0^4 + x^60*z0^4 - 2*x^58*y^2*z0^4 + 2*x^61*z0^2 - x^57*y^2*z0^4 - x^60*z0^2 - 2*x^58*y^2*z0^2 - 2*x^58*z0^4 - 2*x^61 + x^57*y^2*z0^2 - x^57*z0^4 + 2*x^58*y^2 - 2*x^58*z0^2 + x^57*z0^2 + 2*x^55*z0^4 + 2*x^58 + x^54*z0^4 + 2*x^55*z0^2 - x^54*z0^2 - 2*x^52*z0^4 - 2*x^55 - x^51*z0^4 - 2*x^52*z0^2 + x^51*z0^2 + 2*x^49*z0^4 + 2*x^52 + x^48*z0^4 + 2*x^49*z0^2 - x^48*z0^2 - 2*x^46*z0^4 - 2*x^49 - x^45*z0^4 - 2*x^46*z0^2 + x^45*z0^2 + 2*x^43*z0^4 + 2*x^46 + x^42*z0^4 + 2*x^43*z0^2 + x^41*z0^4 - x^42*z0^2 + x^40*y*z0^3 - 2*x^43 + 2*x^41*z0^2 + 2*x^39*y*z0^3 - x^39*z0^4 + x^40*y*z0 + x^40*z0^2 + x^38*y*z0^3 + 2*x^38*z0^4 + x^41 - x^39*z0^2 + x^37*y*z0^3 - x^37*z0^4 - 2*x^40 - 2*x^38*y*z0 - x^38*z0^2 + x^36*y*z0^3 + x^36*z0^4 - 2*x^39 - x^37*y*z0 + 2*x^37*z0^2 + 2*x^35*z0^4 + 2*x^38 - 2*x^36*y*z0 + x^36*z0^2 - x^34*y*z0^3 + 2*x^34*z0^4 + x^37 - x^35*y*z0 + 2*x^33*y*z0^3 - 2*x^33*z0^4 - 2*x^36 - 2*x^34*y*z0 + 2*x^34*z0^2 + 2*x^32*y*z0^3 + x^32*z0^4 + x^35 - 2*x^33*z0^2 + 2*x^31*y*z0^3 - 2*x^34 + 2*x^32*y*z0 + 2*x^30*y*z0^3 - 2*x^30*z0^4 - 2*x^33 - 2*x^31*y*z0 + 2*x^31*z0^2 + x^27*y^2*z0^4 + x^32 + x^30*z0^2 + x^28*z0^4 + 2*x^31 - 2*x^29*y*z0 - x^29*z0^2 + x^27*y*z0^3 - 2*x^27*z0^4 - 2*x^30 + x^28*y*z0 + x^28*z0^2 + x^26*y*z0^3 - x^27*y*z0 + 2*x^27*z0^2 - 2*x^25*y*z0^3 + x^25*z0^4 + x^28 - x^26*y*z0 - x^26*z0^2 - 2*x^24*y*z0^3 + x^24*z0^4 - x^27 - x^25*y*z0 - 2*x^25*z0^2 - x^23*y*z0^3 + 2*x^26 + 2*x^24*y*z0 + x^22*y*z0^3 - x^25 + 2*x^23*y*z0 + 2*x^23*z0^2 - 2*x^21*y*z0^3 + x^21*z0^4 - 2*x^22*y*z0 + x^22*z0^2 + 2*x^20*y*z0^3 - 2*x^20*z0^4 + 2*x^23 - x^19*y*z0^3 + 2*x^19*z0^4 + x^22 + 2*x^20*z0^2 - 2*x^18*z0^4 - x^19*y*z0 - 2*x^19*z0^2 - 2*x^20 - x^18*y*z0 + x^18*z0^2 + x^16*y*z0^3 + 2*x^16*z0^4 + x^19 - 2*x^17*y*z0 + 2*x^17*z0^2 + 2*x^15*y*z0^3 - 2*x^15*z0^4 - x^16*y*z0 + 2*x^16*z0^2 - x^14*y*z0^3 + 2*x^15*y*z0 + x^13*y*z0^3 + x^13*z0^4 - x^16 - 2*x^14*y*z0 - 2*x^14*z0^2 - 2*x^12*y*z0^3 + x^12*z0^4 + 2*x^15 + 2*x^13*y*z0 + x^13*z0^2 + x^11*y*z0^3 + 2*x^11*z0^4 + 2*x^14 - x^12*y*z0 - x^12*z0^2 - x^10*y*z0^3 + 2*x^10*z0^4 - x^13 - x^11*y*z0 - x^11*z0^2 + x^9*y*z0^3 - x^12 - 2*x^10*y*z0 + 2*x^10*z0^2 - 2*x^8*y*z0^3 + 2*x^11 + x^9*y*z0 - 2*x^9*z0^2 + x^7*y*z0^3 + 2*x^7*z0^4 - x^10 - 2*x^8*y*z0 - x^8*z0^2 - 2*x^6*z0^4 + 2*x^9 + x^7*y*z0 + x^7*z0^2 + 2*x^5*y*z0^3 - 2*x^5*z0^4 + x^8 - 2*x^6*y*z0 - 2*x^6*z0^2 - x^4*y*z0^3 - x^4*z0^4 - x^7 - x^5*y*z0 - x^5*z0^2 + x^3*z0^4 - 2*x^6 + x^4*z0^2 - 2*x^2*y*z0^3 - x^2*z0^4 + x^5 - x^2*z0^2 + 2*x^3 + x^2)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((x^61*z0^4 - x^58*y^2*z0^4 + x^61*z0^2 + 2*x^59*z0^4 + x^60*z0^2 - x^58*y^2*z0^2 - x^58*z0^4 - 2*x^56*y^2*z0^4 + x^61 - x^57*y^2*z0^2 + x^60 - x^58*y^2 - x^58*z0^2 - 2*x^56*z0^4 - x^57*y^2 - x^57*z0^2 + x^55*z0^4 - x^58 - x^57 + x^55*z0^2 + 2*x^53*z0^4 + x^54*z0^2 - x^52*z0^4 + x^55 + x^54 - x^52*z0^2 - 2*x^50*z0^4 - x^51*z0^2 + x^49*z0^4 - x^52 - x^51 + x^49*z0^2 + 2*x^47*z0^4 + x^48*z0^2 - x^46*z0^4 + x^49 + x^48 - x^46*z0^2 - 2*x^44*z0^4 - x^45*z0^2 + x^43*z0^4 - x^46 - x^45 + x^43*z0^2 + x^41*z0^4 + x^42*z0^2 - 2*x^40*y*z0^3 + x^40*z0^4 + x^43 + x^41*z0^2 + x^39*y*z0^3 - x^39*z0^4 + x^42 - 2*x^40*y*z0 - 2*x^40*z0^2 + 2*x^38*y*z0^3 - 2*x^38*z0^4 - x^41 - 2*x^39*y*z0 - 2*x^39*z0^2 - x^37*y*z0^3 + 2*x^37*z0^4 + x^40 + 2*x^38*y*z0 + 2*x^38*z0^2 - 2*x^36*y*z0^3 + x^36*z0^4 - x^39 - 2*x^37*y*z0 - 2*x^37*z0^2 - x^35*y*z0^3 + 2*x^35*z0^4 + 2*x^38 - 2*x^36*y*z0 + 2*x^36*z0^2 + x^34*y*z0^3 - x^34*z0^4 + 2*x^37 - x^35*y*z0 - x^33*z0^4 - x^34*y*z0 - 2*x^34*z0^2 + 2*x^32*y*z0^3 - x^35 + x^33*z0^2 + 2*x^31*z0^4 + 2*x^34 - x^32*y*z0 - 2*x^32*z0^2 - 2*x^30*y*z0^3 + x^31*y*z0 + 2*x^31*z0^2 + x^29*y*z0^3 - x^32 + x^30*z0^2 - x^28*y*z0^3 + 2*x^28*z0^4 - 2*x^31 - x^29*y*z0 - 2*x^29*z0^2 + x^27*y*z0^3 + x^27*z0^4 - 2*x^30 + x^28*y^2 + 2*x^28*y*z0 - 2*x^28*z0^2 + 2*x^26*y*z0^3 + 2*x^26*z0^4 + x^29 + x^27*y*z0 + x^27*z0^2 - 2*x^25*y*z0^3 - x^25*z0^4 - x^28 + 2*x^26*y*z0 + 2*x^24*y*z0^3 + x^27 - 2*x^25*z0^2 + x^23*y*z0^3 + 2*x^23*z0^4 - x^24*y*z0 + 2*x^24*z0^2 - x^22*y*z0^3 + 2*x^25 + 2*x^23*y*z0 + 2*x^21*y*z0^3 - 2*x^22*y*z0 - 2*x^22*z0^2 + 2*x^20*y*z0^3 + x^20*z0^4 - x^23 + x^21*y*z0 + 2*x^21*z0^2 + 2*x^19*y*z0^3 + 2*x^19*z0^4 - x^22 + x^20*y*z0 - x^20*z0^2 - 2*x^18*y*z0^3 + x^18*z0^4 - x^21 + x^19*y*z0 - x^19*z0^2 + x^17*y*z0^3 + 2*x^17*z0^4 - 2*x^20 - x^18*y*z0 - x^18*z0^2 + 2*x^16*y*z0^3 + 2*x^16*z0^4 - x^19 - 2*x^17*y*z0 - 2*x^17*z0^2 + x^15*z0^4 + 2*x^18 - 2*x^16*y*z0 - x^16*z0^2 + 2*x^14*y*z0^3 - 2*x^14*z0^4 + x^17 - 2*x^15*y*z0 + 2*x^15*z0^2 + x^13*z0^4 - x^16 - x^14*y*z0 - 2*x^14*z0^2 + x^12*z0^4 + x^15 - 2*x^13*y*z0 - x^13*z0^2 + 2*x^11*y*z0^3 + x^10*y*z0^3 + x^9*y*z0^3 + 2*x^9*z0^4 + x^12 - x^10*z0^2 + x^8*z0^4 + x^11 - 2*x^9*y*z0 - 2*x^9*z0^2 + 2*x^7*y*z0^3 + x^7*z0^4 + x^10 + 2*x^8*y*z0 - x^8*z0^2 - 2*x^6*y*z0^3 + 2*x^6*z0^4 - x^9 - x^7*y*z0 - 2*x^7*z0^2 + 2*x^5*z0^4 - 2*x^8 - x^6*z0^2 - x^4*y*z0^3 - x^4*z0^4 - 2*x^7 - 2*x^5*y*z0 + 2*x^5*z0^2 + x^3*z0^4 + 2*x^6 - x^4*y*z0 + x^4*z0^2 - x^2*y*z0^3 - x^2*z0^4 - x^5 - 2*x^3*z0^2 + 2*x^2*y*z0 + 2*x^2*z0^2 - x^3 - 2*x^2)/y) * dx,
+ ((-2*x^61*z0^3 + 2*x^60*z0^3 + 2*x^58*y^2*z0^3 - x^61*z0 - 2*x^57*y^2*z0^3 + x^58*y^2*z0 - 2*x^58*z0^3 - x^57*z0^3 - x^55*y^2*z0^3 + x^58*z0 - x^54*y^2*z0^3 + 2*x^55*z0^3 + x^54*z0^3 - x^55*z0 - 2*x^52*z0^3 - x^51*z0^3 + x^52*z0 + 2*x^49*z0^3 + x^48*z0^3 - x^49*z0 - 2*x^46*z0^3 - x^45*z0^3 + x^46*z0 + 2*x^43*z0^3 + x^42*z0^3 - x^43*z0 - 2*x^41*z0^3 - 2*x^39*y*z0^4 - x^40*y*z0^2 - x^41*z0 - x^39*y*z0^2 + x^39*z0^3 - 2*x^37*y*z0^4 + 2*x^40*y - x^38*y*z0^2 + x^38*z0^3 - x^36*y*z0^4 - x^39*y + x^39*z0 + 2*x^37*z0^3 - 2*x^35*y*z0^4 + x^38*y - 2*x^38*z0 + 2*x^36*y*z0^2 - x^36*z0^3 + x^34*y*z0^4 - x^37*y + x^37*z0 - x^35*z0^3 + 2*x^33*y*z0^4 - x^36*z0 - x^34*z0^3 + x^32*y*z0^4 - x^35*y - x^35*z0 + 2*x^33*y*z0^2 + x^33*z0^3 - x^31*y*z0^4 + 2*x^34*y - 2*x^32*y*z0^2 - 2*x^30*y*z0^4 - x^33*z0 - 2*x^31*z0^3 - 2*x^29*y*z0^4 - 2*x^32*y - 2*x^30*z0^3 - x^28*y*z0^4 - x^31*y + 2*x^31*z0 - x^27*y*z0^4 - x^30*y + 2*x^30*z0 + x^28*y^2*z0 - x^28*y*z0^2 - 2*x^28*z0^3 + 2*x^26*y*z0^4 + x^29*y - 2*x^27*y*z0^2 + x^27*z0^3 + 2*x^28*y - 2*x^28*z0 - x^26*z0^3 + 2*x^24*y*z0^4 - 2*x^27*y - x^27*z0 + x^25*z0^3 - 2*x^23*y*z0^4 + x^26*y - x^26*z0 - 2*x^24*z0^3 - x^22*y*z0^4 + 2*x^25*y - 2*x^25*z0 - 2*x^23*y*z0^2 + x^23*z0^3 + 2*x^21*y*z0^4 - x^24*z0 - x^22*z0^3 - x^20*y*z0^4 - x^23*y + 2*x^23*z0 + 2*x^21*y*z0^2 - x^21*z0^3 + x^22*y - 2*x^22*z0 - 2*x^20*y*z0^2 + x^18*y*z0^4 - 2*x^21*y - x^19*y*z0^2 - 2*x^19*z0^3 - x^17*y*z0^4 - x^20*y - x^20*z0 + x^18*y*z0^2 + x^18*z0^3 - 2*x^16*y*z0^4 - 2*x^19*y - 2*x^17*y*z0^2 - 2*x^17*z0^3 - x^15*y*z0^4 + 2*x^18*y - x^18*z0 + 2*x^16*z0^3 + 2*x^14*y*z0^4 - x^17*y - 2*x^17*z0 + 2*x^16*y - 2*x^16*z0 - 2*x^14*y*z0^2 + x^12*y*z0^4 - 2*x^15*y - x^15*z0 + x^13*z0^3 + x^11*y*z0^4 - 2*x^14*y - 2*x^14*z0 + x^12*y*z0^2 + 2*x^12*z0^3 - x^13*y + x^13*z0 - 2*x^11*y*z0^2 + x^9*y*z0^4 + x^12*y - x^12*z0 - 2*x^8*y*z0^4 - 2*x^11*y + 2*x^11*z0 + 2*x^9*y*z0^2 - 2*x^7*y*z0^4 + x^10*y + 2*x^10*z0 - x^8*y*z0^2 - 2*x^8*z0^3 + x^6*y*z0^4 - 2*x^9*y - 2*x^9*z0 - x^7*y*z0^2 + x^7*z0^3 + 2*x^5*y*z0^4 + x^8*y + x^6*y*z0^2 + 2*x^6*z0^3 - 2*x^4*y*z0^4 + x^7*z0 - x^5*y*z0^2 - 2*x^5*z0^3 + x^3*y*z0^4 - x^6*y - 2*x^6*z0 + x^4*y*z0^2 + 2*x^2*y*z0^4 + x^5*y + 2*x^5*z0 - 2*x^4*y - x^4*z0 - 2*x^2*z0^3 - x^3*y + x^3*z0 - 2*x^2*y + 2*x^2*z0)/y) * dx,
+ ((-2*x^61*z0^4 - 2*x^60*z0^4 + 2*x^58*y^2*z0^4 - x^61*z0^2 + 2*x^59*z0^4 + 2*x^57*y^2*z0^4 - 2*x^60*z0^2 + x^58*y^2*z0^2 + 2*x^58*z0^4 - 2*x^56*y^2*z0^4 - 2*x^61 + 2*x^57*y^2*z0^2 + 2*x^57*z0^4 - 2*x^60 + 2*x^58*y^2 + x^58*z0^2 - 2*x^56*z0^4 + 2*x^57*y^2 + 2*x^57*z0^2 - 2*x^55*z0^4 + 2*x^58 - 2*x^54*z0^4 + 2*x^57 - x^55*z0^2 + 2*x^53*z0^4 - 2*x^54*z0^2 + 2*x^52*z0^4 - 2*x^55 + 2*x^51*z0^4 - 2*x^54 + x^52*z0^2 - 2*x^50*z0^4 + 2*x^51*z0^2 - 2*x^49*z0^4 + 2*x^52 - 2*x^48*z0^4 + 2*x^51 - x^49*z0^2 + 2*x^47*z0^4 - 2*x^48*z0^2 + 2*x^46*z0^4 - 2*x^49 + 2*x^45*z0^4 - 2*x^48 + x^46*z0^2 - 2*x^44*z0^4 + 2*x^45*z0^2 - 2*x^43*z0^4 + 2*x^46 - 2*x^42*z0^4 + 2*x^45 - x^43*z0^2 - x^41*z0^4 - 2*x^42*z0^2 - x^40*y*z0^3 - 2*x^43 - x^41*z0^2 - x^39*y*z0^3 + x^39*z0^4 - 2*x^42 + 2*x^40*y*z0 - x^40*z0^2 + x^38*y*z0^3 - x^38*z0^4 + 2*x^41 - 2*x^39*y*z0 - 2*x^39*z0^2 - x^37*y*z0^3 + 2*x^37*z0^4 - 2*x^40 + x^38*y*z0 - 2*x^38*z0^2 + 2*x^36*y*z0^3 + 2*x^36*z0^4 - 2*x^37*y*z0 + x^37*z0^2 - x^35*y*z0^3 - x^35*z0^4 - 2*x^38 + 2*x^36*y*z0 + 2*x^36*z0^2 - 2*x^34*y*z0^3 + x^34*z0^4 + x^37 + 2*x^35*y*z0 + x^35*z0^2 + 2*x^33*y*z0^3 - 2*x^33*z0^4 - x^36 + x^34*z0^2 + 2*x^32*z0^4 + 2*x^35 - x^33*y*z0 - x^33*z0^2 + x^31*y*z0^3 + x^31*z0^4 - x^34 + 2*x^32*y*z0 - 2*x^32*z0^2 + 2*x^30*z0^4 + 2*x^33 + 2*x^31*y*z0 + x^31*z0^2 + 2*x^29*y*z0^3 + x^29*z0^4 + x^32 + x^28*y^2*z0^2 - 2*x^28*z0^4 + 2*x^31 - 2*x^29*y*z0 - 2*x^29*z0^2 + x^27*y*z0^3 + 2*x^27*z0^4 + x^30 + 2*x^28*y*z0 + x^26*z0^4 + 2*x^29 + x^27*y*z0 - 2*x^27*z0^2 - 2*x^25*y*z0^3 - 2*x^25*z0^4 - 2*x^26*y*z0 + 2*x^26*z0^2 + x^24*y*z0^3 - 2*x^24*z0^4 + 2*x^27 - 2*x^25*z0^2 + x^23*y*z0^3 + x^23*z0^4 - x^26 - x^24*y*z0 + x^24*z0^2 + 2*x^22*y*z0^3 - x^22*z0^4 - x^25 + 2*x^23*y*z0 + 2*x^23*z0^2 + x^21*y*z0^3 - 2*x^21*z0^4 + 2*x^24 + x^22*z0^2 - x^20*y*z0^3 - 2*x^20*z0^4 - 2*x^23 + x^21*z0^2 - 2*x^19*y*z0^3 + 2*x^19*z0^4 - 2*x^22 + x^20*y*z0 - x^20*z0^2 - x^18*y*z0^3 - x^18*z0^4 - 2*x^21 + x^19*y*z0 - x^17*y*z0^3 - x^17*z0^4 - x^20 - 2*x^18*y*z0 - 2*x^16*y*z0^3 - 2*x^19 - 2*x^17*y*z0 - x^17*z0^2 - x^15*y*z0^3 - 2*x^15*z0^4 - 2*x^18 - x^16*z0^2 - x^14*y*z0^3 + 2*x^17 - x^15*y*z0 + x^15*z0^2 + x^13*y*z0^3 + x^13*z0^4 + 2*x^16 - x^14*y*z0 + 2*x^14*z0^2 + x^12*y*z0^3 - x^12*z0^4 - x^15 + 2*x^13*y*z0 + x^11*y*z0^3 - 2*x^11*z0^4 - 2*x^14 - 2*x^12*y*z0 - 2*x^10*y*z0^3 + x^10*z0^4 - x^13 + 2*x^11*y*z0 - 2*x^9*y*z0^3 + 2*x^12 - x^10*y*z0 + x^10*z0^2 - 2*x^8*z0^4 - 2*x^11 + x^9*y*z0 + x^7*y*z0^3 - x^7*z0^4 + 2*x^10 + x^8*y*z0 + x^8*z0^2 - x^6*y*z0^3 + x^6*z0^4 - 2*x^9 - x^7*y*z0 - 2*x^7*z0^2 - x^5*y*z0^3 + 2*x^8 - 2*x^6*y*z0 - 2*x^6*z0^2 + x^4*y*z0^3 - 2*x^4*z0^4 + 2*x^7 + 2*x^5*y*z0 + x^5*z0^2 + 2*x^6 - x^4*z0^2 - 2*x^2*y*z0^3 + 2*x^2*z0^4 + x^5 - x^3*y*z0 + x^3*z0^2 - 2*x^2*y*z0 + x^2*z0^2 + x^2)/y) * dx,
+ ((x^61*z0^3 + 2*x^60*z0^3 - x^58*y^2*z0^3 + x^61*z0 - x^59*z0^3 - 2*x^57*y^2*z0^3 + 2*x^60*z0 - x^58*y^2*z0 + x^56*y^2*z0^3 - 2*x^59*z0 - 2*x^57*y^2*z0 - x^55*y^2*z0^3 - x^58*z0 + 2*x^56*y^2*z0 + x^56*z0^3 - 2*x^54*y^2*z0^3 - 2*x^57*z0 + 2*x^56*z0 + x^55*z0 - x^53*z0^3 + 2*x^54*z0 - 2*x^53*z0 - x^52*z0 + x^50*z0^3 - 2*x^51*z0 + 2*x^50*z0 + x^49*z0 - x^47*z0^3 + 2*x^48*z0 - 2*x^47*z0 - x^46*z0 + x^44*z0^3 - 2*x^45*z0 + 2*x^44*z0 + x^43*z0 + x^39*y*z0^4 + 2*x^42*z0 - 2*x^40*y*z0^2 - x^40*z0^3 - x^38*y*z0^4 - x^41*z0 + x^39*y*z0^2 + 2*x^37*y*z0^4 - 2*x^40*y - 2*x^40*z0 + 2*x^38*y*z0^2 + 2*x^38*z0^3 + x^36*y*z0^4 + 2*x^39*y - 2*x^39*z0 - 2*x^37*z0^3 - x^35*y*z0^4 + 2*x^38*y + 2*x^38*z0 - x^36*y*z0^2 + 2*x^36*z0^3 + x^34*y*z0^4 + x^37*y - 2*x^35*y*z0^2 + 2*x^35*z0^3 + x^33*y*z0^4 + x^36*y + x^36*z0 - x^34*y*z0^2 - 2*x^32*y*z0^4 - 2*x^35*y + x^35*z0 - 2*x^33*z0^3 - x^31*y*z0^4 - 2*x^34*z0 - x^32*y*z0^2 - x^32*z0^3 + x^30*y*z0^4 - 2*x^33*z0 - x^31*y*z0^2 - 2*x^31*z0^3 + 2*x^32*y + x^32*z0 + 2*x^30*y*z0^2 + x^30*z0^3 + x^28*y^2*z0^3 + 2*x^28*y*z0^4 + 2*x^31*y - x^31*z0 - 2*x^29*y*z0^2 - x^29*z0^3 - 2*x^30*y + x^30*z0 - 2*x^28*y*z0^2 - x^26*y*z0^4 + x^29*z0 + 2*x^27*z0^3 + x^25*y*z0^4 - 2*x^28*z0 - 2*x^26*y*z0^2 - 2*x^26*z0^3 - 2*x^24*y*z0^4 + x^27*y + 2*x^27*z0 + x^25*y*z0^2 + 2*x^25*z0^3 + 2*x^23*y*z0^4 + 2*x^26*z0 + x^22*y*z0^4 + 2*x^25*z0 - x^21*y*z0^4 + x^24*y + 2*x^24*z0 + x^22*y*z0^2 + x^22*z0^3 + 2*x^23*y - x^23*z0 - 2*x^21*y*z0^2 + x^21*z0^3 + x^19*y*z0^4 - 2*x^22*y + 2*x^22*z0 + x^20*y*z0^2 + 2*x^20*z0^3 - x^18*y*z0^4 - x^21*y - x^21*z0 - 2*x^19*y*z0^2 - x^19*z0^3 - x^17*y*z0^4 - 2*x^20*y - 2*x^18*y*z0^2 - 2*x^18*z0^3 - x^16*y*z0^4 - x^19*y + 2*x^19*z0 - x^17*z0^3 + x^15*y*z0^4 - x^18*y + 2*x^16*y*z0^2 + x^16*z0^3 + x^14*y*z0^4 + x^17*z0 - x^15*y*z0^2 - x^15*z0^3 - 2*x^13*y*z0^4 + x^16*y + 2*x^16*z0 + x^14*y*z0^2 - x^14*z0^3 - 2*x^15*y - 2*x^15*z0 + 2*x^11*y*z0^4 + 2*x^14*y + 2*x^14*z0 - x^12*y*z0^2 - x^12*z0^3 - x^10*y*z0^4 - x^13*y + x^13*z0 - x^11*z0^3 + 2*x^9*y*z0^4 - x^12*y + x^10*z0^3 - 2*x^8*y*z0^4 - x^11*y - 2*x^11*z0 + x^9*y*z0^2 + 2*x^9*z0^3 + 2*x^7*y*z0^4 - x^10*z0 - x^8*y*z0^2 + x^8*z0^3 + 2*x^9*y - x^9*z0 + x^7*y*z0^2 - x^5*y*z0^4 + x^8*y + x^6*y*z0^2 - 2*x^6*z0^3 + x^4*y*z0^4 + x^7*y + x^7*z0 + 2*x^5*y*z0^2 + x^5*z0^3 - x^3*y*z0^4 - 2*x^6*y + 2*x^6*z0 + 2*x^4*y*z0^2 - x^4*z0^3 - 2*x^5*y + x^5*z0 + 2*x^3*y*z0^2 - 2*x^3*z0^3 - 2*x^4*y + x^4*z0 - x^2*y*z0^2 + 2*x^2*z0^3 + x^3*y - 2*x^3*z0 + 2*x^2*y - 2*x^2*z0)/y) * dx,
+ ((x^61*z0^4 - x^58*y^2*z0^4 - 2*x^61*z0^2 + x^59*z0^4 + 2*x^60*z0^2 + 2*x^58*y^2*z0^2 - x^58*z0^4 - x^56*y^2*z0^4 - 2*x^57*y^2*z0^2 + 2*x^58*z0^2 - x^56*z0^4 - 2*x^57*z0^2 + x^55*z0^4 - 2*x^55*z0^2 + x^53*z0^4 + 2*x^54*z0^2 - x^52*z0^4 + 2*x^52*z0^2 - x^50*z0^4 - 2*x^51*z0^2 + x^49*z0^4 - 2*x^49*z0^2 + x^47*z0^4 + 2*x^48*z0^2 - x^46*z0^4 + 2*x^46*z0^2 - x^44*z0^4 - 2*x^45*z0^2 + x^43*z0^4 - 2*x^43*z0^2 + 2*x^41*z0^4 + 2*x^42*z0^2 - 2*x^40*y*z0^3 + x^40*z0^4 - 2*x^41*z0^2 - 2*x^39*y*z0^3 + x^39*z0^4 - x^40*y*z0 + 2*x^38*y*z0^3 + 2*x^38*z0^4 + x^41 + 2*x^39*y*z0 - 2*x^37*y*z0^3 - 2*x^40 + x^38*z0^2 - x^36*y*z0^3 + 2*x^36*z0^4 - 2*x^37*y*z0 - 2*x^37*z0^2 - x^35*y*z0^3 + 2*x^35*z0^4 - x^38 - 2*x^36*y*z0 + 2*x^34*y*z0^3 + x^34*z0^4 + x^37 + 2*x^35*z0^2 + x^33*y*z0^3 + 2*x^33*z0^4 - x^36 - x^34*y*z0 - 2*x^34*z0^2 + 2*x^32*y*z0^3 - 2*x^32*z0^4 - x^35 + x^33*z0^2 - x^31*y*z0^3 + x^31*z0^4 + x^34 + x^32*y*z0 - 2*x^32*z0^2 + 2*x^30*y*z0^3 + 2*x^30*z0^4 + x^28*y^2*z0^4 + x^33 + x^31*y*z0 - x^31*z0^2 - x^29*y*z0^3 + x^30*y*z0 + 2*x^28*z0^4 - 2*x^31 + 2*x^29*y*z0 + x^29*z0^2 - 2*x^27*y*z0^3 + x^27*z0^4 + x^28*z0^2 + 2*x^26*z0^4 + 2*x^27*y*z0 + 2*x^27*z0^2 + x^25*y*z0^3 - x^25*z0^4 - x^28 + 2*x^26*z0^2 - x^24*y*z0^3 - 2*x^24*z0^4 + x^23*y*z0^3 + 2*x^23*z0^4 + 2*x^26 + x^24*y*z0 - x^22*y*z0^3 + 2*x^22*z0^4 - 2*x^25 + 2*x^23*y*z0 + x^23*z0^2 + 2*x^21*y*z0^3 + 2*x^21*z0^4 + 2*x^22*y*z0 + 2*x^22*z0^2 - x^20*y*z0^3 - x^20*z0^4 + x^21*y*z0 - x^19*y*z0^3 - 2*x^19*z0^4 + 2*x^20*y*z0 + 2*x^18*y*z0^3 + x^18*z0^4 - x^21 - x^19*y*z0 + 2*x^17*z0^4 - x^20 - x^18*y*z0 - 2*x^18*z0^2 + 2*x^16*y*z0^3 - x^16*z0^4 - x^19 + 2*x^17*y*z0 + 2*x^17*z0^2 - x^15*y*z0^3 + 2*x^18 + 2*x^16*y*z0 + 2*x^16*z0^2 + 2*x^14*y*z0^3 - 2*x^17 + 2*x^15*y*z0 - x^15*z0^2 - x^13*y*z0^3 - 2*x^13*z0^4 + 2*x^16 - 2*x^14*y*z0 + x^14*z0^2 + 2*x^12*y*z0^3 + 2*x^12*z0^4 + x^15 - 2*x^13*y*z0 - 2*x^11*y*z0^3 + x^11*z0^4 + x^14 - 2*x^12*z0^2 + x^10*y*z0^3 - 2*x^10*z0^4 - 2*x^11*y*z0 + x^11*z0^2 + 2*x^9*y*z0^3 + x^12 - 2*x^10*y*z0 + x^10*z0^2 - 2*x^8*y*z0^3 + x^8*z0^4 + x^11 + 2*x^9*y*z0 + 2*x^9*z0^2 + 2*x^7*y*z0^3 - 2*x^7*z0^4 + 2*x^10 - x^8*y*z0 + 2*x^8*z0^2 + 2*x^7*y*z0 + x^7*z0^2 + 2*x^5*y*z0^3 + 2*x^5*z0^4 - 2*x^6*z0^2 - 2*x^4*y*z0^3 + x^4*z0^4 - x^7 + 2*x^5*z0^2 - 2*x^3*y*z0^3 + x^3*z0^4 - 2*x^6 - 2*x^4*y*z0 - x^4*z0^2 - 2*x^2*y*z0^3 - x^2*z0^4 - x^5 + x^3*y*z0 + 2*x^3*z0^2 - 2*x^2*y*z0 - x^3 - x^2)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^61*z0^4 - x^60*z0^4 + x^58*y^2*z0^4 - x^61*z0^2 + x^59*z0^4 + x^57*y^2*z0^4 - 2*x^60*z0^2 + x^58*y^2*z0^2 + x^58*z0^4 - x^56*y^2*z0^4 + 2*x^61 + 2*x^57*y^2*z0^2 + x^57*z0^4 - 2*x^60 - 2*x^58*y^2 + x^58*z0^2 - x^56*z0^4 + 2*x^57*y^2 + 2*x^57*z0^2 - x^55*z0^4 - 2*x^58 - x^54*z0^4 + 2*x^57 - x^55*z0^2 + x^53*z0^4 - 2*x^54*z0^2 + x^52*z0^4 + 2*x^55 + x^51*z0^4 - 2*x^54 + x^52*z0^2 - x^50*z0^4 + 2*x^51*z0^2 - x^49*z0^4 - 2*x^52 - x^48*z0^4 + 2*x^51 - x^49*z0^2 + x^47*z0^4 - 2*x^48*z0^2 + x^46*z0^4 + 2*x^49 + x^45*z0^4 - 2*x^48 + x^46*z0^2 - x^44*z0^4 + 2*x^45*z0^2 - x^43*z0^4 - 2*x^46 - x^42*z0^4 + 2*x^45 - x^43*z0^2 + x^41*z0^4 - 2*x^42*z0^2 + 2*x^40*y*z0^3 - x^40*z0^4 + 2*x^43 - x^41*z0^2 - x^39*y*z0^3 - 2*x^39*z0^4 - 2*x^42 + 2*x^40*y*z0 - x^40*z0^2 + 2*x^39*y*z0 - 2*x^39*z0^2 + x^37*y*z0^3 - 2*x^40 + 2*x^38*y*z0 - 2*x^38*z0^2 + 2*x^36*y*z0^3 + 2*x^36*z0^4 - 2*x^39 - 2*x^37*y*z0 - 2*x^37*z0^2 - x^35*y*z0^3 + 2*x^38 + 2*x^36*z0^2 - 2*x^34*y*z0^3 - 2*x^34*z0^4 - x^37 + x^35*y*z0 + x^35*z0^2 - 2*x^33*y*z0^3 - 2*x^33*z0^4 - 2*x^36 - x^34*y*z0 - 2*x^34*z0^2 - 2*x^32*y*z0^3 - 2*x^32*z0^4 - x^35 - x^33*z0^2 + x^31*y*z0^3 - x^31*z0^4 - x^34 - x^32*y*z0 + 2*x^30*y*z0^3 + x^30*z0^4 - 2*x^33 - x^31*y*z0 - x^31*z0^2 - 2*x^29*y*z0^3 + 2*x^29*z0^4 + 2*x^28*y*z0^3 + x^28*z0^4 - 2*x^31 + x^29*y^2 + 2*x^29*y*z0 - x^29*z0^2 + x^27*y*z0^3 + 2*x^27*z0^4 + x^30 + 2*x^28*z0^2 + 2*x^26*y*z0^3 - x^29 - x^27*y*z0 - x^27*z0^2 + x^25*y*z0^3 - x^25*z0^4 + 2*x^28 - 2*x^26*y*z0 - x^26*z0^2 + x^24*y*z0^3 - 2*x^24*z0^4 + 2*x^23*y*z0^3 + x^23*z0^4 + 2*x^26 + 2*x^24*z0^2 - 2*x^22*y*z0^3 - 2*x^22*z0^4 + x^25 - x^23*y*z0 - 2*x^23*z0^2 - 2*x^21*y*z0^3 - 2*x^21*z0^4 + x^24 + 2*x^22*z0^2 + x^20*y*z0^3 + 2*x^21*y*z0 + x^19*y*z0^3 + x^19*z0^4 - 2*x^22 - x^20*y*z0 + 2*x^20*z0^2 + x^18*z0^4 - x^21 - x^19*y*z0 - x^19*z0^2 + 2*x^17*y*z0^3 + 2*x^20 - 2*x^18*y*z0 - x^16*y*z0^3 - 2*x^16*z0^4 + 2*x^17*y*z0 - x^17*z0^2 - x^15*y*z0^3 - x^15*z0^4 + 2*x^18 - 2*x^16*y*z0 + 2*x^16*z0^2 + x^14*y*z0^3 + 2*x^14*z0^4 + x^17 + x^15*y*z0 - 2*x^13*y*z0^3 - x^13*z0^4 - x^14*y*z0 + 2*x^14*z0^2 - 2*x^12*y*z0^3 + x^15 - x^13*z0^2 - x^11*y*z0^3 - 2*x^11*z0^4 - x^14 - x^12*y*z0 - x^10*z0^4 - 2*x^13 + 2*x^11*y*z0 - x^11*z0^2 - 2*x^9*z0^4 - 2*x^12 + x^10*y*z0 + x^10*z0^2 - 2*x^8*y*z0^3 - 2*x^8*z0^4 - 2*x^11 - 2*x^9*y*z0 + 2*x^9*z0^2 - x^7*y*z0^3 + x^7*z0^4 + x^10 + x^8*y*z0 - x^8*z0^2 - x^6*y*z0^3 + 2*x^9 + 2*x^7*y*z0 - x^5*y*z0^3 - 2*x^5*z0^4 - x^8 - 2*x^6*z0^2 - x^4*y*z0^3 - 2*x^4*z0^4 - x^7 + 2*x^5*y*z0 - x^5*z0^2 - x^3*y*z0^3 - 2*x^3*z0^4 + 2*x^6 - 2*x^4*y*z0 + x^4*z0^2 - x^2*z0^4 - x^5 - 2*x^3*y*z0 + x^3*z0^2 - x^2*y*z0 + 2*x^2*z0^2)/y) * dx,
+ ((-x^60*z0^3 - x^59*z0^3 + x^57*y^2*z0^3 - x^60*z0 - 2*x^58*z0^3 + x^56*y^2*z0^3 + 2*x^59*z0 + x^57*y^2*z0 + x^57*z0^3 + 2*x^55*y^2*z0^3 - 2*x^56*y^2*z0 + x^56*z0^3 + x^57*z0 + 2*x^55*z0^3 - 2*x^56*z0 - x^54*z0^3 - x^53*z0^3 - x^54*z0 - 2*x^52*z0^3 + 2*x^53*z0 + x^51*z0^3 + x^50*z0^3 + x^51*z0 + 2*x^49*z0^3 - 2*x^50*z0 - x^48*z0^3 - x^47*z0^3 - x^48*z0 - 2*x^46*z0^3 + 2*x^47*z0 + x^45*z0^3 + x^44*z0^3 + x^45*z0 + 2*x^43*z0^3 - 2*x^44*z0 - x^42*z0^3 - x^41*z0^3 - x^42*z0 - 2*x^40*z0^3 + 2*x^41*z0 + x^39*z0^3 - x^37*y*z0^4 + 2*x^40*z0 - 2*x^38*y*z0^2 - 2*x^36*y*z0^4 + 2*x^39*y - 2*x^37*y*z0^2 - 2*x^37*z0^3 - x^35*y*z0^4 + 2*x^38*y - x^36*y*z0^2 + x^36*z0^3 - x^37*z0 + x^35*z0^3 + x^33*y*z0^4 - 2*x^36*y + x^36*z0 + 2*x^34*y*z0^2 + 2*x^35*y + 2*x^35*z0 + x^33*y*z0^2 + x^33*z0^3 - x^31*y*z0^4 - 2*x^34*y - x^34*z0 + 2*x^32*y*z0^2 - x^32*z0^3 - 2*x^30*y*z0^4 - 2*x^33*y + x^31*z0^3 + x^29*y*z0^4 + 2*x^32*y - x^32*z0 - 2*x^30*z0^3 + 2*x^28*y*z0^4 + 2*x^31*y + x^29*y^2*z0 + x^29*y*z0^2 + 2*x^29*z0^3 - x^27*y*z0^4 - 2*x^30*y + x^30*z0 + 2*x^28*z0^3 - x^26*y*z0^4 + 2*x^29*z0 - 2*x^27*y*z0^2 + 2*x^27*z0^3 - x^25*y*z0^4 - 2*x^28*y - x^28*z0 + 2*x^26*y*z0^2 + 2*x^26*z0^3 + x^24*y*z0^4 + 2*x^27*y + 2*x^27*z0 + 2*x^25*y*z0^2 + 2*x^25*z0^3 - x^26*y + 2*x^26*z0 + 2*x^24*y*z0^2 - x^24*z0^3 + 2*x^22*y*z0^4 + 2*x^25*y + x^23*y*z0^2 + 2*x^23*z0^3 - 2*x^21*y*z0^4 + x^24*y - x^24*z0 + x^22*y*z0^2 - 2*x^22*z0^3 + x^20*y*z0^4 - 2*x^23*y - 2*x^23*z0 - x^21*z0^3 + x^22*y + x^22*z0 + 2*x^20*y*z0^2 + 2*x^21*z0 - 2*x^19*y*z0^2 + 2*x^19*z0^3 - 2*x^17*y*z0^4 + 2*x^18*y*z0^2 - 2*x^19*y - 2*x^17*y*z0^2 - x^17*z0^3 + x^15*y*z0^4 + x^18*y + 2*x^16*y*z0^2 - 2*x^16*z0^3 - x^14*y*z0^4 - 2*x^17*z0 - 2*x^15*y*z0^2 + x^13*y*z0^4 + x^16*y + 2*x^16*z0 + x^14*y*z0^2 - x^14*z0^3 + x^12*y*z0^4 - x^15*y + x^15*z0 + x^13*y*z0^2 - x^13*z0^3 + x^14*y + x^14*z0 + x^12*y*z0^2 - x^12*z0^3 + x^10*y*z0^4 + 2*x^13*y + x^13*z0 - x^11*y*z0^2 - 2*x^11*z0^3 + x^9*y*z0^4 - 2*x^12*y - 2*x^12*z0 + 2*x^10*z0^3 + x^11*y + 2*x^11*z0 + x^9*z0^3 - x^7*y*z0^4 + 2*x^10*z0 + 2*x^8*y*z0^2 - 2*x^8*z0^3 + x^6*y*z0^4 + x^7*y*z0^2 + x^5*y*z0^4 - 2*x^8*y + x^8*z0 + x^6*z0^3 + 2*x^7*y - x^7*z0 + 2*x^5*z0^3 + x^3*y*z0^4 - 2*x^6*y + 2*x^6*z0 + 2*x^4*y*z0^2 - x^2*y*z0^4 - x^5*y - x^5*z0 + 2*x^3*y*z0^2 + 2*x^4*y - 2*x^4*z0 + x^2*y*z0^2 - 2*x^2*z0^3 - 2*x^3*y + x^3*z0 - x^2*z0)/y) * dx,
+ ((2*x^61*z0^4 + 2*x^60*z0^4 - 2*x^58*y^2*z0^4 + 2*x^61*z0^2 - x^59*z0^4 - 2*x^57*y^2*z0^4 - x^60*z0^2 - 2*x^58*y^2*z0^2 - 2*x^58*z0^4 + x^56*y^2*z0^4 - 2*x^61 + x^57*y^2*z0^2 - 2*x^57*z0^4 + 2*x^58*y^2 - 2*x^58*z0^2 + x^56*z0^4 + x^57*z0^2 + 2*x^55*z0^4 + 2*x^58 + 2*x^54*z0^4 + 2*x^55*z0^2 - x^53*z0^4 - x^54*z0^2 - 2*x^52*z0^4 - 2*x^55 - 2*x^51*z0^4 - 2*x^52*z0^2 + x^50*z0^4 + x^51*z0^2 + 2*x^49*z0^4 + 2*x^52 + 2*x^48*z0^4 + 2*x^49*z0^2 - x^47*z0^4 - x^48*z0^2 - 2*x^46*z0^4 - 2*x^49 - 2*x^45*z0^4 - 2*x^46*z0^2 + x^44*z0^4 + x^45*z0^2 + 2*x^43*z0^4 + 2*x^46 + 2*x^42*z0^4 + 2*x^43*z0^2 - x^42*z0^2 + x^40*y*z0^3 + 2*x^40*z0^4 - 2*x^43 + 2*x^41*z0^2 + 2*x^39*y*z0^3 + x^39*z0^4 + x^40*y*z0 + 2*x^40*z0^2 + x^38*y*z0^3 + 2*x^38*z0^4 + x^41 - 2*x^39*y*z0 - x^39*z0^2 + 2*x^37*y*z0^3 - x^38*y*z0 - x^38*z0^2 + x^36*y*z0^3 + x^36*z0^4 - 2*x^39 - x^37*y*z0 + 2*x^37*z0^2 - x^35*y*z0^3 + 2*x^35*z0^4 - 2*x^36*y*z0 + x^36*z0^2 - x^34*y*z0^3 - x^34*z0^4 + 2*x^37 - 2*x^35*y*z0 - 2*x^33*y*z0^3 - x^33*z0^4 + 2*x^34*y*z0 + x^34*z0^2 - 2*x^32*z0^4 + x^35 + 2*x^33*y*z0 - 2*x^33*z0^2 - 2*x^31*y*z0^3 + x^31*z0^4 - x^34 - x^32*y*z0 - 2*x^32*z0^2 - 2*x^30*y*z0^3 + 2*x^33 - x^31*y*z0 + 2*x^31*z0^2 + x^29*y^2*z0^2 + x^29*y*z0^3 - 2*x^29*z0^4 + x^32 - x^30*y*z0 - x^30*z0^2 + 2*x^28*y*z0^3 - 2*x^28*z0^4 + 2*x^31 + 2*x^29*y*z0 - 2*x^29*z0^2 - x^27*y*z0^3 + x^27*z0^4 + 2*x^30 + x^28*y*z0 + x^28*z0^2 + 2*x^26*z0^4 - x^29 - x^27*y*z0 - x^27*z0^2 + x^25*y*z0^3 + x^25*z0^4 - x^28 - 2*x^26*z0^2 - 2*x^24*y*z0^3 + 2*x^24*z0^4 - 2*x^27 - 2*x^25*y*z0 - x^25*z0^2 - x^23*y*z0^3 + x^23*z0^4 - 2*x^26 - 2*x^24*y*z0 - x^24*z0^2 + x^22*y*z0^3 - x^25 - 2*x^23*y*z0 + 2*x^23*z0^2 + 2*x^21*y*z0^3 + x^21*z0^4 + x^24 + x^22*y*z0 + x^22*z0^2 + x^20*y*z0^3 + x^20*z0^4 - 2*x^19*z0^4 + x^22 + 2*x^20*y*z0 + x^18*y*z0^3 + x^18*z0^4 - x^21 + x^19*y*z0 - x^19*z0^2 - 2*x^17*y*z0^3 + x^18*y*z0 + 2*x^18*z0^2 + x^16*y*z0^3 - 2*x^16*z0^4 + 2*x^17*z0^2 + 2*x^15*y*z0^3 + 2*x^15*z0^4 - 2*x^16*y*z0 - x^16*z0^2 + 2*x^14*y*z0^3 + 2*x^14*z0^4 - 2*x^15*z0^2 + x^13*y*z0^3 - 2*x^13*z0^4 - 2*x^16 + 2*x^14*y*z0 + x^14*z0^2 + 2*x^12*y*z0^3 + x^12*z0^4 - 2*x^15 - 2*x^13*y*z0 + x^13*z0^2 + x^11*z0^4 - 2*x^14 - x^12*y*z0 - x^12*z0^2 + 2*x^10*y*z0^3 + x^10*z0^4 + 2*x^13 + x^11*z0^2 - 2*x^9*y*z0^3 + 2*x^10*y*z0 - x^10*z0^2 - 2*x^8*y*z0^3 + x^8*z0^4 - x^11 - x^9*z0^2 + 2*x^7*y*z0^3 - x^7*z0^4 + 2*x^10 - 2*x^8*y*z0 - x^8*z0^2 + 2*x^6*z0^4 - x^9 + x^7*y*z0 + 2*x^7*z0^2 + x^5*y*z0^3 + x^5*z0^4 + x^6*y*z0 + x^6*z0^2 + 2*x^4*z0^4 - 2*x^7 + 2*x^5*y*z0 - 2*x^5*z0^2 + x^3*y*z0^3 + x^3*z0^4 - 2*x^6 - x^4*z0^2 - x^2*y*z0^3 + x^2*z0^4 - x^3*z0^2 - 2*x^2*y*z0 - x^3 + x^2)/y) * dx,
+ ((2*x^61*z0^3 + x^60*z0^3 - 2*x^58*y^2*z0^3 + 2*x^61*z0 + 2*x^59*z0^3 - x^57*y^2*z0^3 - x^60*z0 - 2*x^58*y^2*z0 + 2*x^58*z0^3 - 2*x^56*y^2*z0^3 - 2*x^59*z0 + x^57*y^2*z0 + x^57*z0^3 + x^55*y^2*z0^3 - 2*x^58*z0 + 2*x^56*y^2*z0 - 2*x^56*z0^3 - 2*x^54*y^2*z0^3 + x^57*z0 - 2*x^55*z0^3 + 2*x^56*z0 - x^54*z0^3 + 2*x^55*z0 + 2*x^53*z0^3 - x^54*z0 + 2*x^52*z0^3 - 2*x^53*z0 + x^51*z0^3 - 2*x^52*z0 - 2*x^50*z0^3 + x^51*z0 - 2*x^49*z0^3 + 2*x^50*z0 - x^48*z0^3 + 2*x^49*z0 + 2*x^47*z0^3 - x^48*z0 + 2*x^46*z0^3 - 2*x^47*z0 + x^45*z0^3 - 2*x^46*z0 - 2*x^44*z0^3 + x^45*z0 - 2*x^43*z0^3 + 2*x^44*z0 - x^42*z0^3 + 2*x^43*z0 - x^41*z0^3 + 2*x^39*y*z0^4 - x^42*z0 + x^40*y*z0^2 - x^40*z0^3 + 2*x^38*y*z0^4 + 2*x^39*y*z0^2 + x^39*z0^3 - x^37*y*z0^4 + x^40*y - 2*x^40*z0 - x^38*y*z0^2 - x^38*z0^3 + 2*x^37*z0^3 + x^35*y*z0^4 - 2*x^38*y - x^38*z0 + 2*x^36*y*z0^2 + 2*x^34*y*z0^4 + 2*x^37*y - x^37*z0 - x^35*y*z0^2 - 2*x^35*z0^3 - x^33*y*z0^4 + 2*x^36*y - x^36*z0 + x^34*y*z0^2 + 2*x^32*y*z0^4 + x^35*z0 + x^33*y*z0^2 - x^33*z0^3 + 2*x^31*y*z0^4 - 2*x^34*y + x^34*z0 + 2*x^32*z0^3 + x^30*y*z0^4 + 2*x^33*y - x^33*z0 + x^31*y*z0^2 - x^31*z0^3 + x^29*y^2*z0^3 + x^29*y*z0^4 - x^32*y - 2*x^32*z0 - 2*x^30*y*z0^2 + x^30*z0^3 - 2*x^28*y*z0^4 - 2*x^31*y - 2*x^29*y*z0^2 + 2*x^29*z0^3 - 2*x^27*y*z0^4 + 2*x^30*y + x^30*z0 - 2*x^28*y*z0^2 - 2*x^28*z0^3 + x^26*y*z0^4 - 2*x^29*z0 + 2*x^27*y*z0^2 + x^25*y*z0^4 + 2*x^28*y + x^28*z0 + 2*x^26*y*z0^2 + 2*x^26*z0^3 + 2*x^24*y*z0^4 - 2*x^27*y + 2*x^25*y*z0^2 - x^25*z0^3 + 2*x^23*y*z0^4 - 2*x^26*z0 - x^24*y*z0^2 + 2*x^24*z0^3 - x^22*y*z0^4 + 2*x^25*y - 2*x^25*z0 - 2*x^23*y*z0^2 - x^23*z0^3 - 2*x^21*y*z0^4 - 2*x^24*y - x^22*y*z0^2 + x^22*z0^3 + x^20*y*z0^4 + 2*x^23*y - 2*x^23*z0 + x^21*y*z0^2 - x^21*z0^3 - x^19*y*z0^4 - 2*x^22*y + x^22*z0 - 2*x^20*y*z0^2 + 2*x^20*z0^3 + 2*x^18*y*z0^4 - x^17*y*z0^4 - 2*x^20*y + x^20*z0 - 2*x^18*z0^3 - 2*x^16*y*z0^4 + x^19*y - 2*x^17*y*z0^2 + 2*x^15*y*z0^4 - x^18*y - x^16*y*z0^2 - x^16*z0^3 + 2*x^17*y - x^17*z0 - x^15*y*z0^2 - 2*x^15*z0^3 - x^13*y*z0^4 - 2*x^16*y - 2*x^16*z0 + x^14*z0^3 + 2*x^12*y*z0^4 - 2*x^15*y - x^13*y*z0^2 - 2*x^13*z0^3 + x^11*y*z0^4 - x^14*y - x^14*z0 - 2*x^12*z0^3 + x^10*y*z0^4 - x^11*y*z0^2 + 2*x^11*z0^3 + x^9*y*z0^4 - x^12*y + x^12*z0 - x^10*y*z0^2 - x^10*z0^3 - x^8*y*z0^4 + x^11*y - x^11*z0 + x^9*z0^3 - x^7*y*z0^4 - x^10*y + x^10*z0 + x^6*y*z0^4 - 2*x^9*y + x^9*z0 + 2*x^7*z0^3 + 2*x^5*y*z0^4 + x^8*y + x^6*y*z0^2 - x^6*z0^3 + x^4*y*z0^4 - x^5*y*z0^2 + 2*x^5*z0^3 - x^6*y + x^4*y*z0^2 - 2*x^4*z0^3 - x^2*y*z0^4 - x^5*y - x^5*z0 - 2*x^3*z0^3 + x^4*y - 2*x^2*y*z0^2 + x^2*z0)/y) * dx,
+ ((2*x^61*z0^4 - x^60*z0^4 - 2*x^58*y^2*z0^4 - 2*x^61*z0^2 - x^59*z0^4 + x^57*y^2*z0^4 + 2*x^58*y^2*z0^2 - 2*x^58*z0^4 + x^56*y^2*z0^4 - x^61 + x^57*z0^4 - 2*x^60 + x^58*y^2 + 2*x^58*z0^2 + x^56*z0^4 + 2*x^57*y^2 + 2*x^55*z0^4 + x^58 - x^54*z0^4 + 2*x^57 - 2*x^55*z0^2 - x^53*z0^4 - 2*x^52*z0^4 - x^55 + x^51*z0^4 - 2*x^54 + 2*x^52*z0^2 + x^50*z0^4 + 2*x^49*z0^4 + x^52 - x^48*z0^4 + 2*x^51 - 2*x^49*z0^2 - x^47*z0^4 - 2*x^46*z0^4 - x^49 + x^45*z0^4 - 2*x^48 + 2*x^46*z0^2 + x^44*z0^4 + 2*x^43*z0^4 + x^46 - x^42*z0^4 + 2*x^45 - 2*x^43*z0^2 - 2*x^41*z0^4 + x^40*y*z0^3 - x^43 - 2*x^41*z0^2 - 2*x^39*y*z0^3 - x^39*z0^4 - 2*x^42 - x^40*y*z0 - 2*x^40*z0^2 + x^38*y*z0^3 - 2*x^38*z0^4 - x^41 + 2*x^39*z0^2 + 2*x^37*y*z0^3 + 2*x^37*z0^4 - x^40 + 2*x^38*y*z0 + x^38*z0^2 - x^36*y*z0^3 - 2*x^39 - 2*x^37*y*z0 - x^37*z0^2 + x^35*y*z0^3 - 2*x^35*z0^4 + x^38 - 2*x^36*z0^2 - x^37 + 2*x^35*y*z0 - x^35*z0^2 + x^33*y*z0^3 + 2*x^33*z0^4 + x^34*y*z0 - 2*x^34*z0^2 - x^32*y*z0^3 + x^35 + 2*x^33*y*z0 + x^31*y*z0^3 - 2*x^31*z0^4 + x^29*y^2*z0^4 + 2*x^34 - x^32*y*z0 - 2*x^32*z0^2 - 2*x^30*y*z0^3 + x^30*z0^4 - x^33 - x^31*y*z0 - 2*x^31*z0^2 + x^29*y*z0^3 - x^29*z0^4 - 2*x^32 + 2*x^30*y*z0 + 2*x^30*z0^2 + x^28*y*z0^3 - x^28*z0^4 + 2*x^31 - x^29*y*z0 + 2*x^29*z0^2 + x^27*y*z0^3 + x^30 - 2*x^26*y*z0^3 - x^29 + x^27*y*z0 - x^27*z0^2 - 2*x^25*y*z0^3 - x^25*z0^4 - 2*x^28 - x^26*y*z0 + x^26*z0^2 + 2*x^24*z0^4 - x^25*z0^2 - 2*x^23*z0^4 - 2*x^26 - 2*x^24*y*z0 + 2*x^24*z0^2 + 2*x^22*y*z0^3 + 2*x^22*z0^4 + 2*x^25 + x^23*y*z0 + x^23*z0^2 + 2*x^21*y*z0^3 + 2*x^21*z0^4 + 2*x^20*y*z0^3 - 2*x^23 + 2*x^21*y*z0 - x^21*z0^2 + x^19*y*z0^3 - x^19*z0^4 + 2*x^22 - 2*x^20*y*z0 - 2*x^20*z0^2 + x^18*y*z0^3 - x^18*z0^4 + x^21 - x^19*y*z0 + 2*x^19*z0^2 + 2*x^17*y*z0^3 - x^20 - 2*x^18*y*z0 + x^18*z0^2 - 2*x^16*y*z0^3 + 2*x^16*z0^4 - x^19 - x^17*z0^2 - x^15*y*z0^3 + x^15*z0^4 - x^18 - 2*x^16*y*z0 + 2*x^16*z0^2 - x^14*y*z0^3 + 2*x^14*z0^4 + x^17 + 2*x^15*z0^2 - x^13*y*z0^3 - 2*x^13*z0^4 - 2*x^16 + 2*x^14*y*z0 + x^14*z0^2 + 2*x^12*z0^4 - x^15 - x^13*y*z0 + 2*x^11*z0^4 - 2*x^10*y*z0^3 + 2*x^10*z0^4 + 2*x^13 - 2*x^11*y*z0 - 2*x^11*z0^2 + 2*x^9*y*z0^3 - 2*x^12 - x^10*y*z0 - x^10*z0^2 + x^8*y*z0^3 - 2*x^11 - x^9*z0^2 - x^10 - 2*x^8*y*z0 + 2*x^6*y*z0^3 + x^6*z0^4 - x^7*y*z0 - 2*x^7*z0^2 + x^5*z0^4 + 2*x^6*y*z0 + 2*x^6*z0^2 - x^4*y*z0^3 + x^4*z0^4 - x^7 - x^5*y*z0 + x^5*z0^2 + 2*x^3*y*z0^3 - x^3*z0^4 - x^6 + 2*x^4*y*z0 - 2*x^4*z0^2 - x^2*y*z0^3 + 2*x^2*z0^4 - x^5 + x^3*z0^2 - 2*x^2*y*z0 - x^2*z0^2 - 2*x^3 - x^2)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-2*x^61*z0^4 - 2*x^60*z0^4 + 2*x^58*y^2*z0^4 - x^61*z0^2 + x^59*z0^4 + 2*x^57*y^2*z0^4 + x^58*y^2*z0^2 + 2*x^58*z0^4 - x^56*y^2*z0^4 - x^61 + 2*x^57*z0^4 + x^60 + x^58*y^2 + x^58*z0^2 - x^56*z0^4 - x^57*y^2 - 2*x^55*z0^4 + x^58 - 2*x^54*z0^4 - x^57 - x^55*z0^2 + x^53*z0^4 + 2*x^52*z0^4 - x^55 + 2*x^51*z0^4 + x^54 + x^52*z0^2 - x^50*z0^4 - 2*x^49*z0^4 + x^52 - 2*x^48*z0^4 - x^51 - x^49*z0^2 + x^47*z0^4 + 2*x^46*z0^4 - x^49 + 2*x^45*z0^4 + x^48 + x^46*z0^2 - x^44*z0^4 - 2*x^43*z0^4 + x^46 - 2*x^42*z0^4 - x^45 - x^43*z0^2 + x^41*z0^4 - x^40*y*z0^3 + x^40*z0^4 - x^43 - x^41*z0^2 - x^39*y*z0^3 - x^39*z0^4 + x^42 + 2*x^40*y*z0 - 2*x^40*z0^2 - 2*x^38*y*z0^3 - x^39*y*z0 + x^39*z0^2 - x^37*y*z0^3 + x^37*z0^4 + 2*x^40 + x^38*y*z0 - 2*x^38*z0^2 + 2*x^36*y*z0^3 - 2*x^36*z0^4 - x^39 + 2*x^37*z0^2 + x^35*z0^4 + 2*x^38 - 2*x^36*y*z0 - x^36*z0^2 + 2*x^37 + 2*x^35*y*z0 + x^35*z0^2 + x^33*z0^4 - x^36 - x^34*y*z0 - 2*x^34*z0^2 + x^32*y*z0^3 + x^32*z0^4 + x^33*y*z0 + x^33*z0^2 + 2*x^31*y*z0^3 - x^31*z0^4 - 2*x^34 + x^32*y*z0 - 2*x^30*y*z0^3 + 2*x^30*z0^4 - 2*x^31*y*z0 - x^31*z0^2 + x^29*y*z0^3 + 2*x^32 + x^30*y^2 - 2*x^30*y*z0 + x^30*z0^2 + x^28*y*z0^3 + 2*x^28*z0^4 + x^29*y*z0 - x^29*z0^2 + 2*x^27*y*z0^3 + 2*x^27*z0^4 - x^30 + x^28*y*z0 - x^26*z0^4 - 2*x^29 - 2*x^27*y*z0 + x^27*z0^2 - x^25*z0^4 - x^28 + x^26*z0^2 + x^24*z0^4 - 2*x^27 + x^25*y*z0 - 2*x^25*z0^2 - 2*x^23*y*z0^3 + x^23*z0^4 + 2*x^26 - x^24*y*z0 - x^24*z0^2 + x^22*y*z0^3 + 2*x^25 + x^23*y*z0 - x^21*y*z0^3 - 2*x^21*z0^4 - 2*x^24 - x^22*y*z0 + 2*x^22*z0^2 + x^20*z0^4 - x^23 - 2*x^21*y*z0 + x^21*z0^2 + 2*x^19*y*z0^3 - x^19*z0^4 - x^22 - x^18*y*z0^3 + 2*x^18*z0^4 + 2*x^21 + x^17*y*z0^3 + 2*x^17*z0^4 + 2*x^20 - x^18*y*z0 - x^18*z0^2 + 2*x^16*y*z0^3 - 2*x^16*z0^4 + x^19 + x^17*y*z0 + x^17*z0^2 - x^15*y*z0^3 - x^15*z0^4 + 2*x^18 - x^16*y*z0 - x^16*z0^2 + x^14*y*z0^3 + 2*x^17 + x^15*y*z0 - 2*x^15*z0^2 + x^13*y*z0^3 - x^13*z0^4 - x^16 + x^14*y*z0 - 2*x^14*z0^2 - 2*x^12*y*z0^3 - 2*x^12*z0^4 - 2*x^15 - x^13*z0^2 + x^11*y*z0^3 + x^11*z0^4 - x^14 - x^12*y*z0 + 2*x^12*z0^2 + 2*x^10*z0^4 - x^11*y*z0 - x^9*z0^4 + 2*x^12 + x^10*y*z0 - 2*x^10*z0^2 + x^8*y*z0^3 + 2*x^8*z0^4 - x^11 - 2*x^9*y*z0 - 2*x^9*z0^2 + 2*x^7*y*z0^3 - x^7*z0^4 - 2*x^8*y*z0 + 2*x^8*z0^2 - x^6*y*z0^3 + 2*x^6*z0^4 - x^9 - 2*x^7*y*z0 + x^7*z0^2 - 2*x^5*z0^4 - x^8 + x^6*y*z0 - x^6*z0^2 + x^7 - x^5*y*z0 - x^5*z0^2 + 2*x^3*y*z0^3 - 2*x^3*z0^4 + 2*x^6 - x^4*y*z0 + 2*x^4*z0^2 - x^2*y*z0^3 + x^2*z0^4 + 2*x^3*y*z0 + x^3*z0^2 + x^2*y*z0 - 2*x^2*z0^2 + x^2)/y) * dx,
+ ((2*x^61*z0^3 - 2*x^60*z0^3 - 2*x^58*y^2*z0^3 + 2*x^59*z0^3 + 2*x^57*y^2*z0^3 + x^60*z0 + x^58*z0^3 - 2*x^56*y^2*z0^3 - x^57*y^2*z0 + x^57*z0^3 + 2*x^55*y^2*z0^3 - 2*x^56*z0^3 + x^54*y^2*z0^3 - x^57*z0 - x^55*z0^3 - x^54*z0^3 + 2*x^53*z0^3 + x^54*z0 + x^52*z0^3 + x^51*z0^3 - 2*x^50*z0^3 - x^51*z0 - x^49*z0^3 - x^48*z0^3 + 2*x^47*z0^3 + x^48*z0 + x^46*z0^3 + x^45*z0^3 - 2*x^44*z0^3 - x^45*z0 - x^43*z0^3 - x^42*z0^3 - x^41*z0^3 + 2*x^39*y*z0^4 + x^42*z0 + x^40*y*z0^2 + x^40*z0^3 - x^38*y*z0^4 - 2*x^39*z0^3 + x^37*y*z0^4 - 2*x^38*y*z0^2 - x^38*z0^3 + x^39*y - x^39*z0 + 2*x^37*y*z0^2 + x^35*y*z0^4 - x^38*y - 2*x^36*z0^3 + 2*x^34*y*z0^4 - 2*x^37*z0 + 2*x^35*y*z0^2 - 2*x^35*z0^3 - 2*x^33*y*z0^4 + x^36*z0 + x^34*y*z0^2 + 2*x^34*z0^3 + x^32*y*z0^4 + 2*x^35*z0 + x^31*y*z0^4 - 2*x^34*y - 2*x^30*y*z0^4 + x^33*y + x^31*z0^3 + 2*x^29*y*z0^4 + x^32*y + x^30*y^2*z0 + 2*x^30*z0^3 + 2*x^28*y*z0^4 + x^31*y + x^31*z0 + x^29*y*z0^2 + x^27*y*z0^4 - x^28*y*z0^2 + x^28*z0^3 + 2*x^26*y*z0^4 - x^29*y - 2*x^29*z0 + 2*x^27*y*z0^2 - x^27*z0^3 + 2*x^25*y*z0^4 - x^26*y*z0^2 - x^26*z0^3 + 2*x^24*y*z0^4 - x^27*y + 2*x^25*y*z0^2 - 2*x^25*z0^3 + x^23*y*z0^4 + 2*x^26*z0 + 2*x^24*y*z0^2 - x^24*z0^3 + 2*x^22*y*z0^4 - 2*x^25*y + 2*x^25*z0 + 2*x^23*y*z0^2 - 2*x^23*z0^3 + x^21*y*z0^4 - 2*x^24*y - 2*x^24*z0 - x^22*y*z0^2 - 2*x^22*z0^3 - 2*x^20*y*z0^4 - 2*x^23*y - x^21*y*z0^2 - 2*x^21*z0^3 - 2*x^19*y*z0^4 - 2*x^22*y + x^22*z0 + 2*x^18*y*z0^4 - x^21*y + 2*x^21*z0 + x^19*y*z0^2 + x^19*z0^3 - x^17*y*z0^4 - 2*x^20*y - x^18*y*z0^2 + 2*x^18*z0^3 + x^16*y*z0^4 + x^19*y - 2*x^17*z0^3 - 2*x^15*y*z0^4 - x^18*y + x^18*z0 - x^16*y*z0^2 + x^16*z0^3 + 2*x^14*y*z0^4 + x^17*y - 2*x^17*z0 - x^15*y*z0^2 - x^15*z0^3 - x^16*y + 2*x^14*y*z0^2 + 2*x^14*z0^3 - 2*x^12*y*z0^4 + 2*x^15*y + 2*x^15*z0 - x^13*y*z0^2 - 2*x^13*z0^3 + 2*x^14*y + 2*x^10*y*z0^4 + x^11*z0^3 + 2*x^9*y*z0^4 - 2*x^12*y + x^12*z0 + 2*x^10*y*z0^2 + 2*x^10*z0^3 + 2*x^8*y*z0^4 + x^11*y - 2*x^11*z0 + x^9*y*z0^2 + x^7*y*z0^4 + 2*x^10*y + x^10*z0 + x^8*y*z0^2 + 2*x^8*z0^3 + x^9*y + x^9*z0 - x^5*y*z0^4 - x^8*y + 2*x^8*z0 + x^6*y*z0^2 + x^4*y*z0^4 + 2*x^7*y + 2*x^7*z0 - 2*x^5*y*z0^2 + x^5*z0^3 + x^3*y*z0^4 - x^6*y - 2*x^6*z0 - x^4*y*z0^2 - 2*x^4*z0^3 + 2*x^2*y*z0^4 + x^5*y + 2*x^5*z0 - 2*x^3*y*z0^2 + x^3*z0^3 - 2*x^4*y + 2*x^4*z0 + 2*x^3*y + x^3*z0 + 2*x^2*z0)/y) * dx,
+ ((x^61*z0^4 - 2*x^60*z0^4 - x^58*y^2*z0^4 - x^61*z0^2 + x^59*z0^4 + 2*x^57*y^2*z0^4 + x^58*y^2*z0^2 - x^58*z0^4 - x^56*y^2*z0^4 + x^61 + 2*x^57*z0^4 - 2*x^60 - x^58*y^2 + x^58*z0^2 - x^56*z0^4 + 2*x^57*y^2 + x^55*z0^4 - x^58 - 2*x^54*z0^4 + 2*x^57 - x^55*z0^2 + x^53*z0^4 - x^52*z0^4 + x^55 + 2*x^51*z0^4 - 2*x^54 + x^52*z0^2 - x^50*z0^4 + x^49*z0^4 - x^52 - 2*x^48*z0^4 + 2*x^51 - x^49*z0^2 + x^47*z0^4 - x^46*z0^4 + x^49 + 2*x^45*z0^4 - 2*x^48 + x^46*z0^2 - x^44*z0^4 + x^43*z0^4 - x^46 - 2*x^42*z0^4 + 2*x^45 - x^43*z0^2 - 2*x^40*y*z0^3 + 2*x^40*z0^4 + x^43 - x^41*z0^2 - x^39*y*z0^3 - 2*x^39*z0^4 - 2*x^42 + 2*x^40*y*z0 + x^40*z0^2 + x^38*y*z0^3 - 2*x^38*z0^4 - x^41 + 2*x^39*y*z0 + x^39*z0^2 + 2*x^37*y*z0^3 + 2*x^37*z0^4 - 2*x^38*z0^2 + 2*x^36*y*z0^3 + 2*x^36*z0^4 + 2*x^39 - x^37*y*z0 + 2*x^37*z0^2 - x^35*z0^4 + 2*x^36*y*z0 - x^36*z0^2 - 2*x^34*z0^4 - 2*x^35*y*z0 + x^33*y*z0^3 - x^33*z0^4 - 2*x^36 + x^34*y*z0 + 2*x^32*y*z0^3 - 2*x^33*y*z0 + x^33*z0^2 - x^31*y*z0^3 + x^31*z0^4 - 2*x^34 + x^32*y*z0 + x^32*z0^2 + x^30*y^2*z0^2 - 2*x^30*z0^4 + 2*x^33 + 2*x^31*y*z0 + 2*x^31*z0^2 - 2*x^29*y*z0^3 + x^29*z0^4 - x^32 - x^30*y*z0 + x^30*z0^2 - x^28*y*z0^3 - 2*x^28*z0^4 + 2*x^31 - 2*x^29*y*z0 + x^27*y*z0^3 - x^27*z0^4 - 2*x^30 + x^28*z0^2 - x^25*y*z0^3 + 2*x^25*z0^4 + x^28 - x^26*y*z0 + 2*x^26*z0^2 + 2*x^24*z0^4 - x^27 - 2*x^25*y*z0 - 2*x^25*z0^2 - x^26 - 2*x^24*y*z0 + 2*x^24*z0^2 - 2*x^22*y*z0^3 + x^22*z0^4 + x^25 + 2*x^23*y*z0 + 2*x^23*z0^2 - 2*x^21*z0^4 + x^24 - 2*x^22*z0^2 + x^20*y*z0^3 + 2*x^20*z0^4 - 2*x^23 - x^21*y*z0 - 2*x^21*z0^2 - x^19*y*z0^3 - 2*x^19*z0^4 + x^22 - x^20*y*z0 + 2*x^20*z0^2 - x^21 + x^19*y*z0 + 2*x^19*z0^2 - 2*x^17*y*z0^3 - x^17*z0^4 - 2*x^18*y*z0 + 2*x^18*z0^2 + x^16*y*z0^3 - x^16*z0^4 - x^17*z0^2 + x^15*y*z0^3 + 2*x^18 - 2*x^16*y*z0 - x^16*z0^2 + 2*x^14*y*z0^3 - x^17 + x^15*y*z0 - 2*x^15*z0^2 + x^13*y*z0^3 + x^13*z0^4 - x^16 - x^14*y*z0 + 2*x^14*z0^2 + 2*x^12*y*z0^3 + x^12*z0^4 - 2*x^15 - x^13*y*z0 - 2*x^11*y*z0^3 + x^14 + x^12*y*z0 - 2*x^12*z0^2 - 2*x^10*y*z0^3 - 2*x^10*z0^4 + x^11*y*z0 + x^11*z0^2 - 2*x^9*y*z0^3 - x^12 + 2*x^10*y*z0 - x^10*z0^2 + 2*x^8*y*z0^3 + 2*x^8*z0^4 - 2*x^11 + x^9*y*z0 + 2*x^9*z0^2 - x^7*y*z0^3 + x^10 - x^8*y*z0 - x^8*z0^2 - x^6*y*z0^3 - x^6*z0^4 + 2*x^9 - 2*x^7*y*z0 - x^7*z0^2 - 2*x^5*y*z0^3 + x^5*z0^4 + x^8 + 2*x^6*z0^2 + 2*x^7 + 2*x^5*y*z0 - x^5*z0^2 + 2*x^3*y*z0^3 + x^3*z0^4 + x^2*z0^4 + 2*x^5 - x^3*y*z0 + x^2*y*z0 - x^2*z0^2 - x^3 - x^2)/y) * dx,
+ ((2*x^61*z0^3 - x^60*z0^3 - 2*x^58*y^2*z0^3 + 2*x^59*z0^3 + x^57*y^2*z0^3 + 2*x^60*z0 + 2*x^58*z0^3 - 2*x^56*y^2*z0^3 - 2*x^59*z0 - 2*x^57*y^2*z0 - 2*x^57*z0^3 + x^55*y^2*z0^3 + 2*x^56*y^2*z0 - 2*x^56*z0^3 - 2*x^54*y^2*z0^3 - 2*x^57*z0 - 2*x^55*z0^3 + 2*x^56*z0 + 2*x^54*z0^3 + 2*x^53*z0^3 + 2*x^54*z0 + 2*x^52*z0^3 - 2*x^53*z0 - 2*x^51*z0^3 - 2*x^50*z0^3 - 2*x^51*z0 - 2*x^49*z0^3 + 2*x^50*z0 + 2*x^48*z0^3 + 2*x^47*z0^3 + 2*x^48*z0 + 2*x^46*z0^3 - 2*x^47*z0 - 2*x^45*z0^3 - 2*x^44*z0^3 - 2*x^45*z0 - 2*x^43*z0^3 + 2*x^44*z0 + 2*x^42*z0^3 - x^41*z0^3 + 2*x^39*y*z0^4 + 2*x^42*z0 + x^40*y*z0^2 + 2*x^40*z0^3 - x^38*y*z0^4 - 2*x^41*z0 - 2*x^39*z0^3 - 2*x^40*z0 - x^38*z0^3 - x^39*y - x^39*z0 + x^35*y*z0^4 + x^38*y + x^36*y*z0^2 - 2*x^36*z0^3 - 2*x^37*z0 - x^35*y*z0^2 - 2*x^33*y*z0^4 - 2*x^36*y - x^34*y*z0^2 - 2*x^34*z0^3 + x^32*y*z0^4 - x^35*y + 2*x^33*y*z0^2 + x^33*z0^3 + x^31*y*z0^4 - x^34*y + 2*x^34*z0 + 2*x^32*y*z0^2 + x^30*y^2*z0^3 - 2*x^30*y*z0^4 + x^33*y - x^33*z0 + 2*x^31*y*z0^2 + 2*x^29*y*z0^4 + 2*x^32*y - 2*x^32*z0 + x^30*y*z0^2 + x^28*y*z0^4 + x^31*y - 2*x^29*y*z0^2 + 2*x^30*y - 2*x^28*y*z0^2 + 2*x^28*z0^3 - 2*x^26*y*z0^4 + 2*x^29*z0 + x^27*z0^3 + x^25*y*z0^4 - 2*x^28*y + x^28*z0 - x^26*y*z0^2 - 2*x^26*z0^3 - 2*x^24*y*z0^4 - x^27*y + x^27*z0 + x^25*y*z0^2 + x^25*z0^3 - x^23*y*z0^4 + 2*x^26*y + x^26*z0 - x^24*z0^3 - 2*x^22*y*z0^4 + 2*x^25*y - 2*x^25*z0 - x^23*y*z0^2 + x^23*z0^3 - 2*x^21*y*z0^4 - 2*x^24*y - 2*x^24*z0 + 2*x^22*y*z0^2 + x^22*z0^3 - x^20*y*z0^4 - 2*x^23*y - 2*x^23*z0 + x^21*y*z0^2 - 2*x^21*z0^3 + x^19*y*z0^4 - 2*x^22*y - x^22*z0 - 2*x^20*y*z0^2 + x^18*y*z0^4 - x^21*z0 + 2*x^19*y*z0^2 + x^17*y*z0^4 + x^20*y - x^20*z0 - x^18*y*z0^2 - x^18*z0^3 - 2*x^19*y + x^19*z0 - x^17*y*z0^2 + x^17*z0^3 + 2*x^15*y*z0^4 - x^18*y + x^18*z0 + x^16*y*z0^2 + x^16*z0^3 - 2*x^17*y - 2*x^17*z0 + 2*x^15*y*z0^2 - x^15*z0^3 + x^13*y*z0^4 + 2*x^16*y - 2*x^16*z0 + x^14*y*z0^2 + 2*x^14*z0^3 + 2*x^12*y*z0^4 - 2*x^15*y - x^15*z0 + 2*x^13*y*z0^2 - 2*x^13*z0^3 - 2*x^11*y*z0^4 - x^14*y + x^14*z0 - 2*x^12*y*z0^2 - x^12*z0^3 + x^10*y*z0^4 + x^13*z0 + x^11*y*z0^2 - 2*x^11*z0^3 - x^12*y + x^12*z0 - 2*x^10*y*z0^2 - 2*x^10*z0^3 + x^8*y*z0^4 - x^11*y + 2*x^11*z0 + x^9*y*z0^2 - 2*x^9*z0^3 - x^7*y*z0^4 + 2*x^10*y + 2*x^8*y*z0^2 - 2*x^6*y*z0^4 - 2*x^9*z0 + x^7*y*z0^2 - 2*x^7*z0^3 - 2*x^5*y*z0^4 - x^8*z0 + 2*x^6*y*z0^2 - 2*x^6*z0^3 + x^7*y + 2*x^7*z0 - x^5*z0^3 - 2*x^3*y*z0^4 - 2*x^6*y - 2*x^6*z0 + 2*x^4*y*z0^2 + x^2*y*z0^4 - x^3*y*z0^2 + x^3*z0^3 - x^4*y - 2*x^4*z0 + x^2*y*z0^2 - 2*x^3*y + 2*x^3*z0 - x^2*z0)/y) * dx,
+ ((2*x^61*z0^4 + 2*x^60*z0^4 - 2*x^58*y^2*z0^4 + x^61*z0^2 + x^59*z0^4 - 2*x^57*y^2*z0^4 + 2*x^60*z0^2 - x^58*y^2*z0^2 - 2*x^58*z0^4 - x^56*y^2*z0^4 - 2*x^57*y^2*z0^2 - 2*x^57*z0^4 - 2*x^60 - x^58*z0^2 - x^56*z0^4 + 2*x^57*y^2 - 2*x^57*z0^2 + 2*x^55*z0^4 + 2*x^54*z0^4 + 2*x^57 + x^55*z0^2 + x^53*z0^4 + 2*x^54*z0^2 - 2*x^52*z0^4 - 2*x^51*z0^4 - 2*x^54 - x^52*z0^2 - x^50*z0^4 - 2*x^51*z0^2 + 2*x^49*z0^4 + 2*x^48*z0^4 + 2*x^51 + x^49*z0^2 + x^47*z0^4 + 2*x^48*z0^2 - 2*x^46*z0^4 - 2*x^45*z0^4 - 2*x^48 - x^46*z0^2 - x^44*z0^4 - 2*x^45*z0^2 + 2*x^43*z0^4 + 2*x^42*z0^4 + 2*x^45 + x^43*z0^2 - 2*x^41*z0^4 + 2*x^42*z0^2 + x^40*y*z0^3 + x^41*z0^2 + x^39*y*z0^3 - x^39*z0^4 - 2*x^42 - 2*x^40*y*z0 + 2*x^40*z0^2 - x^38*y*z0^3 - x^38*z0^4 + 2*x^41 + 2*x^39*z0^2 - 2*x^37*y*z0^3 - 2*x^37*z0^4 - x^38*y*z0 + 2*x^38*z0^2 - 2*x^36*y*z0^3 + x^36*z0^4 - 2*x^39 - x^37*y*z0 + 2*x^35*y*z0^3 + 2*x^35*z0^4 + x^38 - 2*x^36*y*z0 - 2*x^36*z0^2 + 2*x^34*y*z0^3 + x^34*z0^4 + x^37 + x^35*z0^2 - x^33*y*z0^3 + x^36 - 2*x^34*y*z0 + 2*x^32*y*z0^3 + x^32*z0^4 + x^30*y^2*z0^4 - 2*x^35 + 2*x^33*y*z0 - 2*x^33*z0^2 - x^31*y*z0^3 + 2*x^31*z0^4 - x^34 - x^32*z0^2 - 2*x^30*y*z0^3 - 2*x^30*z0^4 - x^31*y*z0 - 2*x^31*z0^2 + 2*x^29*y*z0^3 - 2*x^29*z0^4 - x^32 - 2*x^30*y*z0 - x^30*z0^2 - x^28*y*z0^3 - 2*x^28*z0^4 + 2*x^31 + 2*x^29*y*z0 + x^29*z0^2 + x^27*y*z0^3 - x^27*z0^4 + x^28*y*z0 + x^26*y*z0^3 - 2*x^29 - 2*x^27*z0^2 - x^25*y*z0^3 - x^25*z0^4 + x^28 - x^26*y*z0 + x^26*z0^2 - x^24*y*z0^3 - 2*x^24*z0^4 + x^27 - 2*x^25*y*z0 - 2*x^25*z0^2 - 2*x^23*z0^4 - x^26 + x^24*y*z0 - x^24*z0^2 + 2*x^22*y*z0^3 + x^22*z0^4 - 2*x^25 - x^23*y*z0 + 2*x^23*z0^2 - x^21*y*z0^3 - x^21*z0^4 + 2*x^24 - x^22*y*z0 - x^22*z0^2 - x^20*y*z0^3 - x^23 + x^21*y*z0 - 2*x^21*z0^2 + x^19*y*z0^3 - 2*x^19*z0^4 - x^22 + x^20*y*z0 - 2*x^20*z0^2 - 2*x^18*z0^4 - x^21 + x^19*y*z0 - 2*x^19*z0^2 - x^17*z0^4 - 2*x^20 - x^18*y*z0 + 2*x^18*z0^2 - 2*x^16*y*z0^3 - 2*x^16*z0^4 - x^19 + 2*x^17*y*z0 + 2*x^17*z0^2 - x^15*y*z0^3 + x^15*z0^4 + x^18 - 2*x^16*y*z0 + x^16*z0^2 + x^14*y*z0^3 + 2*x^15*z0^2 - x^13*y*z0^3 - x^13*z0^4 - x^16 - 2*x^14*y*z0 - x^14*z0^2 + 2*x^12*y*z0^3 + x^12*z0^4 - x^15 - x^13*y*z0 + 2*x^13*z0^2 - x^11*z0^4 - 2*x^14 - 2*x^12*y*z0 + x^12*z0^2 - x^10*y*z0^3 - x^10*z0^4 - x^13 + 2*x^11*y*z0 - 2*x^11*z0^2 - x^9*y*z0^3 + x^12 + x^10*y*z0 + 2*x^8*y*z0^3 - x^8*z0^4 + x^9*z0^2 + 2*x^7*y*z0^3 - 2*x^8*y*z0 + x^6*y*z0^3 + 2*x^6*z0^4 - 2*x^9 + x^7*z0^2 - 2*x^5*z0^4 - x^8 - x^6*y*z0 + x^6*z0^2 + 2*x^4*y*z0^3 - 2*x^4*z0^4 - x^7 + x^5*y*z0 + 2*x^5*z0^2 + 2*x^3*y*z0^3 + x^6 + 2*x^4*y*z0 + 2*x^4*z0^2 - 2*x^2*y*z0^3 + 2*x^2*z0^4 - 2*x^5 - 2*x^3*y*z0 + x^2*y*z0 + x^2*z0^2 + x^2)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^61*z0^4 - 2*x^60*z0^4 + x^58*y^2*z0^4 + x^59*z0^4 + 2*x^57*y^2*z0^4 - 2*x^60*z0^2 + x^58*z0^4 - x^56*y^2*z0^4 - 2*x^61 + 2*x^57*y^2*z0^2 + 2*x^57*z0^4 - 2*x^60 + 2*x^58*y^2 - x^56*z0^4 + 2*x^57*y^2 + 2*x^57*z0^2 - x^55*z0^4 + 2*x^58 - 2*x^54*z0^4 + 2*x^57 + x^53*z0^4 - 2*x^54*z0^2 + x^52*z0^4 - 2*x^55 + 2*x^51*z0^4 - 2*x^54 - x^50*z0^4 + 2*x^51*z0^2 - x^49*z0^4 + 2*x^52 - 2*x^48*z0^4 + 2*x^51 + x^47*z0^4 - 2*x^48*z0^2 + x^46*z0^4 - 2*x^49 + 2*x^45*z0^4 - 2*x^48 - x^44*z0^4 + 2*x^45*z0^2 - x^43*z0^4 + 2*x^46 - 2*x^42*z0^4 + 2*x^45 - x^41*z0^4 - 2*x^42*z0^2 + 2*x^40*y*z0^3 - 2*x^40*z0^4 - 2*x^43 - 2*x^39*z0^4 - 2*x^42 + x^40*z0^2 - x^38*y*z0^3 + x^38*z0^4 - 2*x^41 + 2*x^39*z0^2 - x^37*y*z0^3 + 2*x^37*z0^4 + 2*x^40 - 2*x^38*y*z0 + 2*x^36*z0^4 + x^39 - 2*x^37*z0^2 + x^35*y*z0^3 - 2*x^35*z0^4 - 2*x^38 + x^36*y*z0 - 2*x^36*z0^2 - 2*x^34*y*z0^3 - x^34*z0^4 + 2*x^37 - x^35*y*z0 + 2*x^35*z0^2 + x^33*y*z0^3 - x^36 + x^34*y*z0 - 2*x^34*z0^2 + x^32*z0^4 + x^33*y*z0 - 2*x^31*y*z0^3 + x^31*z0^4 + 2*x^34 - x^32*y*z0 - x^32*z0^2 + 2*x^30*y*z0^3 - x^30*z0^4 - 2*x^33 + x^31*y^2 + 2*x^31*y*z0 + x^31*z0^2 - 2*x^29*y*z0^3 + x^29*z0^4 - x^32 + x^30*y*z0 - x^28*y*z0^3 + 2*x^28*z0^4 + x^31 - x^29*y*z0 - x^29*z0^2 - 2*x^27*y*z0^3 - 2*x^27*z0^4 + x^28*y*z0 + 2*x^26*z0^4 - x^29 + x^27*y*z0 - x^25*y*z0^3 + x^28 - x^26*y*z0 + 2*x^26*z0^2 + x^24*y*z0^3 + 2*x^24*z0^4 - x^27 - 2*x^25*y*z0 + x^25*z0^2 - 2*x^23*y*z0^3 - 2*x^23*z0^4 - 2*x^24*y*z0 + 2*x^24*z0^2 - x^22*y*z0^3 - 2*x^25 - x^23*y*z0 + x^23*z0^2 + x^21*y*z0^3 + 2*x^21*z0^4 - x^24 + 2*x^22*y*z0 + x^20*y*z0^3 + 2*x^23 + x^21*y*z0 + x^19*y*z0^3 - 2*x^19*z0^4 - 2*x^20*y*z0 - x^20*z0^2 + 2*x^18*y*z0^3 - x^18*z0^4 + 2*x^21 - 2*x^19*y*z0 + x^19*z0^2 + x^17*y*z0^3 - x^17*z0^4 - 2*x^20 - x^18*y*z0 + 2*x^18*z0^2 + x^16*y*z0^3 + x^16*z0^4 - x^19 + x^17*y*z0 - 2*x^15*y*z0^3 - 2*x^15*z0^4 + 2*x^18 + 2*x^16*y*z0 + 2*x^16*z0^2 - 2*x^14*y*z0^3 + x^14*z0^4 - x^17 + 2*x^15*y*z0 - x^15*z0^2 - 2*x^13*y*z0^3 + 2*x^13*z0^4 + x^16 + x^14*y*z0 - x^14*z0^2 + 2*x^12*y*z0^3 - x^13*y*z0 + 2*x^13*z0^2 - x^11*y*z0^3 - x^11*z0^4 + 2*x^12*y*z0 - 2*x^10*y*z0^3 - 2*x^13 + 2*x^11*y*z0 - 2*x^12 - x^10*y*z0 - x^10*z0^2 - x^8*y*z0^3 - x^8*z0^4 + x^11 + x^9*y*z0 + x^7*z0^4 + 2*x^10 - x^8*z0^2 + 2*x^6*y*z0^3 + 2*x^6*z0^4 + 2*x^9 + x^7*y*z0 - 2*x^7*z0^2 - 2*x^5*y*z0^3 + x^8 - 2*x^6*y*z0 - 2*x^6*z0^2 - 2*x^4*y*z0^3 + x^4*z0^4 - 2*x^5*y*z0 - x^5*z0^2 + 2*x^3*y*z0^3 - 2*x^6 + 2*x^4*y*z0 - 2*x^2*y*z0^3 + 2*x^2*z0^4 - 2*x^5 - 2*x^3*y*z0 - x^3*z0^2 - x^2*y*z0 + 2*x^2*z0^2 - x^3 + x^2)/y) * dx,
+ ((x^61*z0^3 + 2*x^60*z0^3 - x^58*y^2*z0^3 - x^61*z0 - x^59*z0^3 - 2*x^57*y^2*z0^3 - x^60*z0 + x^58*y^2*z0 + x^56*y^2*z0^3 + 2*x^59*z0 + x^57*y^2*z0 + x^57*z0^3 - x^55*y^2*z0^3 + x^58*z0 - 2*x^56*y^2*z0 + x^56*z0^3 + 2*x^54*y^2*z0^3 + x^57*z0 - 2*x^56*z0 - x^54*z0^3 - x^55*z0 - x^53*z0^3 - x^54*z0 + 2*x^53*z0 + x^51*z0^3 + x^52*z0 + x^50*z0^3 + x^51*z0 - 2*x^50*z0 - x^48*z0^3 - x^49*z0 - x^47*z0^3 - x^48*z0 + 2*x^47*z0 + x^45*z0^3 + x^46*z0 + x^44*z0^3 + x^45*z0 - 2*x^44*z0 - x^42*z0^3 - x^43*z0 + x^39*y*z0^4 - x^42*z0 - 2*x^40*y*z0^2 - 2*x^40*z0^3 + 2*x^38*y*z0^4 + x^41*z0 - x^39*y*z0^2 - 2*x^37*y*z0^4 + 2*x^40*y - 2*x^40*z0 + x^38*y*z0^2 + 2*x^38*z0^3 + x^36*y*z0^4 + 2*x^39*y + x^39*z0 + x^37*y*z0^2 + x^37*z0^3 - x^35*y*z0^4 - 2*x^38*y - 2*x^38*z0 + x^36*y*z0^2 + 2*x^36*z0^3 - x^37*y + x^37*z0 - 2*x^35*y*z0^2 - x^35*z0^3 + 2*x^33*y*z0^4 - 2*x^36*y + 2*x^34*y*z0^2 + x^34*z0^3 - x^32*y*z0^4 + x^35*y + x^35*z0 + x^33*y*z0^2 - 2*x^33*z0^3 - 2*x^31*y*z0^4 - 2*x^34*y - x^32*y*z0^2 + x^32*z0^3 - x^33*y + x^33*z0 + x^31*y^2*z0 + x^31*y*z0^2 - 2*x^31*z0^3 + x^29*y*z0^4 + 2*x^32*y - x^32*z0 + 2*x^30*y*z0^2 + 2*x^30*z0^3 - 2*x^28*y*z0^4 + x^31*y + x^31*z0 - x^29*y*z0^2 + 2*x^29*z0^3 - x^27*y*z0^4 + x^30*y - 2*x^30*z0 + x^28*y*z0^2 + x^28*z0^3 - 2*x^26*y*z0^4 + x^29*y + x^29*z0 + 2*x^27*y*z0^2 - 2*x^27*z0^3 - 2*x^25*y*z0^4 + 2*x^28*y - 2*x^28*z0 - x^26*y*z0^2 - 2*x^26*z0^3 + x^24*y*z0^4 - 2*x^27*y + 2*x^27*z0 + x^25*y*z0^2 - x^23*y*z0^4 - x^26*y + 2*x^24*y*z0^2 - 2*x^24*z0^3 + 2*x^22*y*z0^4 - x^23*y*z0^2 + x^23*z0^3 + x^21*y*z0^4 + x^24*y - 2*x^24*z0 + 2*x^22*y*z0^2 - x^22*z0^3 + 2*x^20*y*z0^4 - x^23*z0 - x^21*z0^3 + x^22*y + 2*x^20*y*z0^2 + x^18*y*z0^4 - x^21*y + x^21*z0 + 2*x^19*y*z0^2 + x^17*y*z0^4 + 2*x^20*y + 2*x^20*z0 + 2*x^18*y*z0^2 - 2*x^16*y*z0^4 - 2*x^19*y + x^19*z0 + 2*x^17*y*z0^2 + x^17*z0^3 + 2*x^15*y*z0^4 - 2*x^18*z0 + 2*x^16*z0^3 + 2*x^14*y*z0^4 + x^17*y - x^17*z0 - 2*x^15*z0^3 + x^13*y*z0^4 + x^16*z0 - 2*x^14*y*z0^2 + 2*x^14*z0^3 - 2*x^12*y*z0^4 + 2*x^15*y - 2*x^15*z0 + 2*x^13*y*z0^2 - x^13*z0^3 - x^11*y*z0^4 - 2*x^12*y*z0^2 + 2*x^12*z0^3 - 2*x^10*y*z0^4 - x^13*y - 2*x^11*y*z0^2 + x^11*z0^3 + x^9*y*z0^4 - 2*x^12*y + 2*x^12*z0 - x^10*y*z0^2 - x^10*z0^3 + x^8*y*z0^4 - x^11*y + 2*x^11*z0 - x^9*z0^3 - x^7*y*z0^4 - 2*x^10*z0 - x^8*y*z0^2 + x^8*z0^3 - 2*x^9*y + x^9*z0 + x^7*y*z0^2 - x^7*z0^3 + 2*x^8*z0 - 2*x^6*z0^3 + 2*x^4*y*z0^4 + x^7*y - x^7*z0 + x^5*y*z0^2 - x^5*z0^3 + 2*x^3*y*z0^4 - 2*x^6*y - 2*x^6*z0 - 2*x^4*z0^3 + 2*x^5*y + 2*x^5*z0 - x^3*y*z0^2 + x^3*z0^3 - 2*x^4*y + x^4*z0 - 2*x^2*y*z0^2 - 2*x^2*z0^3 + x^3*y - x^3*z0 - 2*x^2*y + 2*x^2*z0)/y) * dx,
+ ((-x^60*z0^4 - x^61*z0^2 + x^57*y^2*z0^4 - 2*x^60*z0^2 + x^58*y^2*z0^2 - 2*x^61 + 2*x^57*y^2*z0^2 + x^57*z0^4 + 2*x^58*y^2 + x^58*z0^2 + 2*x^57*z0^2 + 2*x^58 - x^54*z0^4 - x^55*z0^2 - 2*x^54*z0^2 - 2*x^55 + x^51*z0^4 + x^52*z0^2 + 2*x^51*z0^2 + 2*x^52 - x^48*z0^4 - x^49*z0^2 - 2*x^48*z0^2 - 2*x^49 + x^45*z0^4 + x^46*z0^2 + 2*x^45*z0^2 + 2*x^46 - x^42*z0^4 - x^43*z0^2 - x^41*z0^4 - 2*x^42*z0^2 + x^40*z0^4 - 2*x^43 - x^41*z0^2 - x^39*y*z0^3 - 2*x^39*z0^4 + 2*x^40*y*z0 + x^40*z0^2 - 2*x^38*y*z0^3 - 2*x^38*z0^4 - x^41 - 2*x^39*z0^2 - 2*x^37*y*z0^3 + 2*x^37*z0^4 - x^40 - 2*x^38*z0^2 + 2*x^36*y*z0^3 + 2*x^36*z0^4 - 2*x^39 + x^37*y*z0 - x^35*z0^4 - 2*x^38 + 2*x^36*y*z0 + 2*x^36*z0^2 - 2*x^34*y*z0^3 + 2*x^37 + x^35*y*z0 - 2*x^33*y*z0^3 + x^33*z0^4 + x^36 + 2*x^34*y*z0 + x^34*z0^2 + x^32*y*z0^3 + 2*x^32*z0^4 + 2*x^35 + 2*x^33*y*z0 + 2*x^33*z0^2 + x^31*y^2*z0^2 - 2*x^34 - x^32*y*z0 + x^32*z0^2 - x^30*y*z0^3 - 2*x^33 - x^31*y*z0 - x^31*z0^2 - x^29*y*z0^3 + x^29*z0^4 + 2*x^32 + 2*x^30*y*z0 + x^28*y*z0^3 + 2*x^28*z0^4 + 2*x^29*y*z0 + 2*x^29*z0^2 - 2*x^27*y*z0^3 + x^27*z0^4 - 2*x^30 + 2*x^28*y*z0 - x^28*z0^2 + x^29 - 2*x^27*y*z0 - x^27*z0^2 - 2*x^25*y*z0^3 + x^25*z0^4 + 2*x^28 + x^26*y*z0 - 2*x^26*z0^2 + x^24*y*z0^3 - 2*x^24*z0^4 + 2*x^27 + 2*x^25*z0^2 - 2*x^23*y*z0^3 - x^23*z0^4 + 2*x^26 - 2*x^24*y*z0 - x^24*z0^2 + 2*x^22*y*z0^3 - x^22*z0^4 - 2*x^25 - 2*x^23*y*z0 + 2*x^21*y*z0^3 + 2*x^21*z0^4 + x^24 - 2*x^22*y*z0 + x^22*z0^2 + x^20*y*z0^3 + 2*x^20*z0^4 - 2*x^21*y*z0 - 2*x^21*z0^2 - 2*x^19*y*z0^3 - x^19*z0^4 + 2*x^18*y*z0^3 + x^21 - x^19*y*z0 + 2*x^19*z0^2 - 2*x^17*y*z0^3 + x^17*z0^4 - x^20 + x^18*y*z0 - x^18*z0^2 - 2*x^16*z0^4 + 2*x^19 - x^17*y*z0 - x^17*z0^2 + 2*x^15*y*z0^3 - 2*x^15*z0^4 + 2*x^16*y*z0 - x^16*z0^2 + x^14*y*z0^3 - 2*x^14*z0^4 + 2*x^15*y*z0 - x^15*z0^2 + 2*x^13*z0^4 - 2*x^16 - x^14*y*z0 + 2*x^14*z0^2 - x^12*y*z0^3 - 2*x^12*z0^4 - x^15 + x^13*y*z0 + 2*x^11*z0^4 - 2*x^14 - x^12*y*z0 - 2*x^12*z0^2 + 2*x^10*y*z0^3 - x^10*z0^4 + x^13 + x^11*y*z0 - 2*x^11*z0^2 - 2*x^9*y*z0^3 + 2*x^9*z0^4 - x^10*y*z0 - 2*x^10*z0^2 - 2*x^8*y*z0^3 - 2*x^8*z0^4 - 2*x^9*z0^2 - 2*x^7*y*z0^3 + 2*x^7*z0^4 - 2*x^10 + x^6*y*z0^3 + 2*x^6*z0^4 - x^9 + x^7*y*z0 - 2*x^7*z0^2 + x^5*y*z0^3 + 2*x^5*z0^4 - x^8 - 2*x^6*y*z0 - 2*x^6*z0^2 - 2*x^4*y*z0^3 - x^7 - 2*x^5*y*z0 - x^5*z0^2 - x^3*y*z0^3 + 2*x^3*z0^4 - x^6 - 2*x^4*z0^2 + x^2*y*z0^3 - x^2*z0^4 + x^2*z0^2 + 2*x^3 - 2*x^2)/y) * dx,
+ ((-2*x^61*z0^3 - x^60*z0^3 + 2*x^58*y^2*z0^3 + 2*x^59*z0^3 + x^57*y^2*z0^3 - x^60*z0 - 2*x^56*y^2*z0^3 + x^57*y^2*z0 + 2*x^55*y^2*z0^3 - 2*x^56*z0^3 + x^54*y^2*z0^3 + x^57*z0 + 2*x^53*z0^3 - x^54*z0 - 2*x^50*z0^3 + x^51*z0 + 2*x^47*z0^3 - x^48*z0 - 2*x^44*z0^3 + x^45*z0 - 2*x^39*y*z0^4 - x^42*z0 - x^40*y*z0^2 - x^40*z0^3 + x^39*z0^3 + x^37*y*z0^4 + 2*x^40*z0 + 2*x^38*y*z0^2 + x^38*z0^3 - 2*x^36*y*z0^4 + x^39*z0 - x^37*y*z0^2 - x^37*z0^3 + x^35*y*z0^4 - 2*x^34*y*z0^4 + x^37*z0 + x^35*y*z0^2 + 2*x^35*z0^3 + 2*x^33*y*z0^4 - x^36*z0 - x^34*y*z0^2 + x^34*z0^3 - 2*x^32*y*z0^4 + x^35*y - 2*x^35*z0 + 2*x^33*y*z0^2 + x^33*z0^3 + x^31*y^2*z0^3 + 2*x^31*y*z0^4 + x^32*y*z0^2 - 2*x^32*z0^3 + x^33*y - 2*x^33*z0 - x^31*y*z0^2 - 2*x^31*z0^3 - 2*x^29*y*z0^4 - 2*x^32*y + x^30*y*z0^2 - x^30*z0^3 - x^28*y*z0^4 + x^31*y + x^31*z0 + x^29*y*z0^2 + x^27*y*z0^4 + x^30*y + x^28*y*z0^2 + x^29*y + 2*x^29*z0 + x^27*z0^3 - x^25*y*z0^4 + 2*x^28*y + x^28*z0 - x^24*y*z0^4 - x^27*z0 + x^25*y*z0^2 - x^25*z0^3 - x^23*y*z0^4 - x^26*y + 2*x^26*z0 - 2*x^24*y*z0^2 + 2*x^24*z0^3 + x^22*y*z0^4 - x^25*y - x^25*z0 - 2*x^23*y*z0^2 - 2*x^23*z0^3 + x^21*y*z0^4 - 2*x^24*y + x^24*z0 - x^22*y*z0^2 + 2*x^22*z0^3 + x^20*y*z0^4 + x^23*y + x^23*z0 - x^21*y*z0^2 - 2*x^21*z0^3 + x^22*y - x^20*z0^3 - 2*x^18*y*z0^4 + 2*x^21*y - x^19*z0^3 - x^17*y*z0^4 + x^20*y + x^20*z0 + x^18*y*z0^2 - x^18*z0^3 + 2*x^16*y*z0^4 - 2*x^19*y + 2*x^19*z0 + 2*x^17*y*z0^2 + x^17*z0^3 + x^15*y*z0^4 + x^18*y - x^16*y*z0^2 + 2*x^17*y - x^17*z0 - x^15*z0^3 - 2*x^16*y + 2*x^16*z0 + 2*x^12*y*z0^4 + x^15*y - 2*x^15*z0 + 2*x^13*y*z0^2 + x^13*z0^3 - 2*x^14*y - x^14*z0 + x^12*y*z0^2 - x^12*z0^3 - x^10*y*z0^4 - 2*x^13*y - x^13*z0 + 2*x^11*y*z0^2 + 2*x^11*z0^3 - x^9*y*z0^4 - 2*x^12*y - x^10*y*z0^2 + 2*x^8*y*z0^4 - 2*x^11*z0 + x^9*y*z0^2 + x^9*z0^3 - 2*x^7*y*z0^4 + 2*x^10*y - x^6*y*z0^4 + 2*x^9*y - 2*x^9*z0 + x^7*y*z0^2 - 2*x^7*z0^3 + x^8*z0 - 2*x^6*y*z0^2 + x^6*z0^3 - 2*x^4*y*z0^4 + 2*x^7*y - 2*x^7*z0 + 2*x^5*y*z0^2 - 2*x^5*z0^3 + x^3*y*z0^4 + 2*x^6*y - 2*x^6*z0 + 2*x^4*y*z0^2 - 2*x^2*y*z0^4 - 2*x^5*y + x^5*z0 + 2*x^3*y*z0^2 + 2*x^3*z0^3 - 2*x^4*y + 2*x^4*z0 - 2*x^2*y*z0^2 - 2*x^2*z0^3 + 2*x^3*y - x^2*y + 2*x^2*z0)/y) * dx,
+ ((-2*x^61*z0^4 - 2*x^60*z0^4 + 2*x^58*y^2*z0^4 + x^59*z0^4 + 2*x^57*y^2*z0^4 - x^60*z0^2 + 2*x^58*z0^4 - x^56*y^2*z0^4 - x^61 + x^57*y^2*z0^2 + 2*x^57*z0^4 - x^60 + x^58*y^2 - x^56*z0^4 + x^57*y^2 + x^57*z0^2 - 2*x^55*z0^4 + x^58 - 2*x^54*z0^4 + x^57 + x^53*z0^4 - x^54*z0^2 + 2*x^52*z0^4 - x^55 + 2*x^51*z0^4 - x^54 - x^50*z0^4 + x^51*z0^2 - 2*x^49*z0^4 + x^52 - 2*x^48*z0^4 + x^51 + x^47*z0^4 - x^48*z0^2 + 2*x^46*z0^4 - x^49 + 2*x^45*z0^4 - x^48 - x^44*z0^4 + x^45*z0^2 - 2*x^43*z0^4 + x^46 - 2*x^42*z0^4 + x^45 + x^41*z0^4 - x^42*z0^2 - x^40*y*z0^3 - x^40*z0^4 - x^43 - x^42 + 2*x^40*z0^2 - x^39*y*z0 + x^39*z0^2 + 2*x^37*z0^4 - x^40 - x^36*z0^4 + 2*x^37*y*z0 - x^37*z0^2 - x^35*y*z0^3 - x^35*z0^4 + 2*x^38 - 2*x^36*y*z0 - x^36*z0^2 - x^34*y*z0^3 + x^34*z0^4 - x^37 + x^35*z0^2 - x^33*y*z0^3 + 2*x^33*z0^4 + x^31*y^2*z0^4 + x^36 + 2*x^34*y*z0 + 2*x^34*z0^2 - 2*x^32*y*z0^3 - x^32*z0^4 - 2*x^35 - x^33*y*z0 + x^33*z0^2 + 2*x^31*y*z0^3 - x^31*z0^4 - 2*x^34 - x^32*z0^2 + 2*x^30*y*z0^3 + x^30*z0^4 + x^33 - x^32 - x^30*y*z0 - x^30*z0^2 - 2*x^28*y*z0^3 + 2*x^31 + 2*x^29*y*z0 + x^29*z0^2 - x^27*y*z0^3 - 2*x^27*z0^4 - x^30 - 2*x^28*y*z0 + 2*x^28*z0^2 + x^26*y*z0^3 + x^27*z0^2 - 2*x^25*y*z0^3 + x^26*y*z0 - x^26*z0^2 - 2*x^24*y*z0^3 - 2*x^24*z0^4 + 2*x^27 + x^25*y*z0 - 2*x^23*y*z0^3 - 2*x^23*z0^4 + x^26 + x^24*z0^2 + 2*x^22*z0^4 - x^25 + 2*x^23*y*z0 - 2*x^23*z0^2 - x^21*y*z0^3 - 2*x^22*y*z0 + x^22*z0^2 + 2*x^20*y*z0^3 - 2*x^20*z0^4 + 2*x^21*y*z0 - 2*x^21*z0^2 + x^19*y*z0^3 + 2*x^19*z0^4 - 2*x^22 - x^20*z0^2 - 2*x^18*y*z0^3 - 2*x^18*z0^4 - x^21 + x^19*y*z0 + x^19*z0^2 + 2*x^17*y*z0^3 + x^17*z0^4 - 2*x^18*y*z0 - x^18*z0^2 + x^16*y*z0^3 + 2*x^16*z0^4 - x^17*y*z0 - x^17*z0^2 + 2*x^15*y*z0^3 + 2*x^16*z0^2 + x^14*y*z0^3 - 2*x^14*z0^4 + 2*x^17 - x^15*y*z0 - x^13*y*z0^3 + 2*x^13*z0^4 - x^16 + 2*x^14*y*z0 + x^12*y*z0^3 - 2*x^12*z0^4 - 2*x^15 - x^13*y*z0 - 2*x^13*z0^2 - 2*x^11*z0^4 + 2*x^14 - 2*x^12*z0^2 - x^10*y*z0^3 + x^10*z0^4 - x^13 + 2*x^11*y*z0 + x^11*z0^2 - 2*x^9*y*z0^3 - 2*x^9*z0^4 + x^12 - x^10*y*z0 - x^10*z0^2 - 2*x^8*y*z0^3 - x^11 + 2*x^9*y*z0 + 2*x^9*z0^2 + x^7*y*z0^3 + x^7*z0^4 - x^8*y*z0 + x^8*z0^2 - 2*x^6*y*z0^3 + 2*x^6*z0^4 - x^9 + x^7*y*z0 - 2*x^7*z0^2 + 2*x^5*y*z0^3 + x^5*z0^4 + 2*x^8 + 2*x^6*y*z0 + x^6*z0^2 - x^4*y*z0^3 - 2*x^7 - x^5*y*z0 + 2*x^5*z0^2 - 2*x^3*y*z0^3 + 2*x^3*z0^4 + x^6 - 2*x^4*y*z0 + x^4*z0^2 - 2*x^2*z0^4 - x^5 + x^3*y*z0 + x^3*z0^2 + x^2*y*z0 - 2*x^2*z0^2 + x^3)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((x^61*z0^4 + x^60*z0^4 - x^58*y^2*z0^4 - x^61*z0^2 + x^59*z0^4 - x^57*y^2*z0^4 + x^58*y^2*z0^2 - x^58*z0^4 - x^56*y^2*z0^4 + x^61 - x^57*z0^4 + x^60 - x^58*y^2 + x^58*z0^2 - x^56*z0^4 - x^57*y^2 + x^55*z0^4 - x^58 + x^54*z0^4 - x^57 - x^55*z0^2 + x^53*z0^4 - x^52*z0^4 + x^55 - x^51*z0^4 + x^54 + x^52*z0^2 - x^50*z0^4 + x^49*z0^4 - x^52 + x^48*z0^4 - x^51 - x^49*z0^2 + x^47*z0^4 - x^46*z0^4 + x^49 - x^45*z0^4 + x^48 + x^46*z0^2 - x^44*z0^4 + x^43*z0^4 - x^46 + x^42*z0^4 - x^45 - x^43*z0^2 - 2*x^40*y*z0^3 - 2*x^40*z0^4 + x^43 - x^41*z0^2 - x^39*y*z0^3 + x^39*z0^4 + x^42 + 2*x^40*y*z0 - 2*x^40*z0^2 - 2*x^38*z0^4 - x^41 + x^39*y*z0 + x^39*z0^2 + 2*x^37*y*z0^3 + 2*x^40 + 2*x^38*y*z0 - 2*x^38*z0^2 + 2*x^36*y*z0^3 + x^36*z0^4 - x^39 + x^37*y*z0 - 2*x^37*z0^2 + 2*x^35*y*z0^3 - 2*x^36*y*z0 - x^36*z0^2 - x^34*z0^4 + x^37 + x^35*y*z0 + x^35*z0^2 + x^33*y*z0^3 + 2*x^33*z0^4 + 2*x^36 - 2*x^34*y*z0 - x^34*z0^2 - x^32*y*z0^3 - x^32*z0^4 + 2*x^31*y*z0^3 + 2*x^34 + x^32*y^2 - x^32*z0^2 + x^30*y*z0^3 + 2*x^30*z0^4 - x^33 - 2*x^31*y*z0 + x^31*z0^2 + 2*x^29*y*z0^3 + x^29*z0^4 + x^30*y*z0 + x^30*z0^2 + x^28*y*z0^3 + 2*x^28*z0^4 - x^31 + x^29*y*z0 + x^29*z0^2 + 2*x^27*y*z0^3 - 2*x^27*z0^4 - x^30 - 2*x^28*y*z0 - 2*x^28*z0^2 - x^26*y*z0^3 + 2*x^26*z0^4 - 2*x^29 + 2*x^27*y*z0 - x^27*z0^2 + x^25*y*z0^3 - x^25*z0^4 - 2*x^28 + 2*x^26*y*z0 + 2*x^26*z0^2 - x^27 - 2*x^25*z0^2 + x^23*y*z0^3 + x^23*z0^4 - 2*x^26 + x^24*z0^2 - 2*x^22*y*z0^3 + x^22*z0^4 - 2*x^25 - 2*x^23*z0^2 + 2*x^21*y*z0^3 + 2*x^21*z0^4 - 2*x^24 - x^22*y*z0 + x^22*z0^2 - x^20*y*z0^3 + 2*x^20*z0^4 + x^23 - x^21*y*z0 - x^21*z0^2 + x^19*y*z0^3 + x^19*z0^4 - 2*x^22 + x^20*y*z0 - 2*x^20*z0^2 - x^21 - x^19*z0^2 - 2*x^17*y*z0^3 - 2*x^17*z0^4 + 2*x^20 + 2*x^18*y*z0 + 2*x^18*z0^2 - 2*x^16*y*z0^3 + x^16*z0^4 + x^19 + x^17*z0^2 + x^15*y*z0^3 + x^15*z0^4 + x^18 - 2*x^16*y*z0 + 2*x^16*z0^2 + 2*x^14*y*z0^3 + x^14*z0^4 - 2*x^17 - 2*x^15*y*z0 - 2*x^15*z0^2 + 2*x^13*z0^4 + x^12*y*z0^3 - x^12*z0^4 + 2*x^15 - x^13*y*z0 - 2*x^13*z0^2 - 2*x^11*y*z0^3 + 2*x^11*z0^4 - 2*x^14 - 2*x^12*y*z0 + x^12*z0^2 - x^10*y*z0^3 - 2*x^10*z0^4 + 2*x^9*z0^4 - 2*x^12 - 2*x^10*y*z0 - 2*x^10*z0^2 - 2*x^8*y*z0^3 + x^11 + 2*x^9*y*z0 - 2*x^9*z0^2 - 2*x^7*y*z0^3 - x^7*z0^4 - x^10 - x^8*y*z0 - x^6*y*z0^3 + x^6*z0^4 + x^9 + x^7*y*z0 + x^7*z0^2 + x^5*z0^4 + 2*x^8 + 2*x^6*y*z0 - 2*x^6*z0^2 - 2*x^4*y*z0^3 - x^7 + 2*x^5*y*z0 - 2*x^5*z0^2 - 2*x^3*z0^4 + x^6 + 2*x^4*y*z0 - x^4*z0^2 + x^2*y*z0^3 - 2*x^2*z0^4 - 2*x^3*y*z0 - 2*x^3*z0^2 - 2*x^2*z0^2 + 2*x^3 + 2*x^2)/y) * dx,
+ ((2*x^60*z0^3 - 2*x^61*z0 - x^59*z0^3 - 2*x^57*y^2*z0^3 + x^60*z0 + 2*x^58*y^2*z0 + x^56*y^2*z0^3 - x^57*y^2*z0 - x^57*z0^3 + 2*x^58*z0 + x^56*z0^3 - x^54*y^2*z0^3 - x^57*z0 + x^54*z0^3 - 2*x^55*z0 - x^53*z0^3 + x^54*z0 - x^51*z0^3 + 2*x^52*z0 + x^50*z0^3 - x^51*z0 + x^48*z0^3 - 2*x^49*z0 - x^47*z0^3 + x^48*z0 - x^45*z0^3 + 2*x^46*z0 + x^44*z0^3 - x^45*z0 + x^42*z0^3 - 2*x^43*z0 - x^41*z0^3 + x^42*z0 - x^38*y*z0^4 - 2*x^41*z0 - 2*x^39*y*z0^2 + 2*x^39*z0^3 + 2*x^37*y*z0^4 - x^40*y + 2*x^38*y*z0^2 - 2*x^36*y*z0^4 + x^39*y + x^39*z0 + 2*x^37*y*z0^2 - 2*x^37*z0^3 - 2*x^38*y + x^38*z0 - x^36*y*z0^2 + 2*x^34*y*z0^4 - 2*x^37*y - x^35*y*z0^2 + 2*x^35*z0^3 + x^33*y*z0^4 + x^36*y - x^36*z0 + x^34*y*z0^2 + 2*x^34*z0^3 + x^35*y - x^35*z0 + x^33*y*z0^2 - x^33*z0^3 - x^31*y*z0^4 + 2*x^34*y - x^34*z0 + x^32*y^2*z0 + 2*x^32*y*z0^2 + x^32*z0^3 + x^30*y*z0^4 - x^33*y - 2*x^31*y*z0^2 + x^31*z0^3 + 2*x^29*y*z0^4 - 2*x^32*y + x^32*z0 + x^30*y*z0^2 + x^30*z0^3 - x^28*y*z0^4 - 2*x^31*y + 2*x^31*z0 - 2*x^29*y*z0^2 - 2*x^29*z0^3 + 2*x^27*y*z0^4 - x^30*y + 2*x^30*z0 + 2*x^28*y*z0^2 + 2*x^28*z0^3 - 2*x^26*y*z0^4 - 2*x^29*y - x^27*y*z0^2 - 2*x^27*z0^3 - 2*x^25*y*z0^4 - 2*x^28*y + 2*x^28*z0 + 2*x^26*y*z0^2 + x^27*y + 2*x^25*y*z0^2 + 2*x^26*y + 2*x^26*z0 + 2*x^24*y*z0^2 - 2*x^24*z0^3 + x^22*y*z0^4 + 2*x^25*y - 2*x^25*z0 + x^23*y*z0^2 + x^21*y*z0^4 + x^24*y + 2*x^24*z0 - x^22*y*z0^2 + x^22*z0^3 + x^20*y*z0^4 - 2*x^23*y + x^23*z0 + x^21*z0^3 - x^19*y*z0^4 - x^22*y + 2*x^20*z0^3 + 2*x^18*y*z0^4 + 2*x^21*y - 2*x^21*z0 + x^19*y*z0^2 + x^19*z0^3 + x^17*y*z0^4 - x^20*y - 2*x^20*z0 + 2*x^18*z0^3 + 2*x^16*y*z0^4 - x^19*z0 - x^17*y*z0^2 - 2*x^17*z0^3 + 2*x^15*y*z0^4 - x^18*y - 2*x^18*z0 - 2*x^16*z0^3 + 2*x^14*y*z0^4 - x^17*y - 2*x^17*z0 - 2*x^15*y*z0^2 - 2*x^15*z0^3 + x^13*y*z0^4 + x^16*y - 2*x^16*z0 + 2*x^14*y*z0^2 - x^14*z0^3 + x^12*y*z0^4 + x^13*y*z0^2 - x^13*z0^3 - 2*x^11*y*z0^4 + x^14*y + 2*x^12*z0^3 + x^10*y*z0^4 - x^11*y*z0^2 + 2*x^11*z0^3 + 2*x^9*y*z0^4 - 2*x^12*y + 2*x^10*y*z0^2 - 2*x^10*z0^3 + x^8*y*z0^4 - x^11*z0 + 2*x^9*y*z0^2 - 2*x^9*z0^3 - x^7*y*z0^4 + 2*x^10*y + 2*x^10*z0 + 2*x^8*y*z0^2 - 2*x^8*z0^3 + 2*x^6*y*z0^4 + x^9*z0 + x^7*y*z0^2 - x^7*z0^3 + x^5*y*z0^4 + 2*x^8*y + 2*x^8*z0 - x^6*y*z0^2 + x^6*z0^3 + x^4*y*z0^4 + x^7*y - 2*x^7*z0 - x^5*y*z0^2 + 2*x^5*z0^3 - 2*x^3*y*z0^4 - 2*x^6*z0 + x^4*y*z0^2 + 2*x^4*z0^3 - 2*x^2*y*z0^4 + 2*x^5*z0 - 2*x^3*y*z0^2 - 2*x^3*z0^3 + x^2*y*z0^2 + x^2*z0^3 - 2*x^3*z0 + x^2*y + x^2*z0)/y) * dx,
+ ((x^61*z0^4 + 2*x^60*z0^4 - x^58*y^2*z0^4 - x^61*z0^2 - 2*x^59*z0^4 - 2*x^57*y^2*z0^4 + x^58*y^2*z0^2 - x^58*z0^4 + 2*x^56*y^2*z0^4 - 2*x^61 - 2*x^57*z0^4 - x^60 + 2*x^58*y^2 + x^58*z0^2 + 2*x^56*z0^4 + x^57*y^2 + x^55*z0^4 + 2*x^58 + 2*x^54*z0^4 + x^57 - x^55*z0^2 - 2*x^53*z0^4 - x^52*z0^4 - 2*x^55 - 2*x^51*z0^4 - x^54 + x^52*z0^2 + 2*x^50*z0^4 + x^49*z0^4 + 2*x^52 + 2*x^48*z0^4 + x^51 - x^49*z0^2 - 2*x^47*z0^4 - x^46*z0^4 - 2*x^49 - 2*x^45*z0^4 - x^48 + x^46*z0^2 + 2*x^44*z0^4 + x^43*z0^4 + 2*x^46 + 2*x^42*z0^4 + x^45 - x^43*z0^2 - 2*x^41*z0^4 - 2*x^40*y*z0^3 - 2*x^43 - x^41*z0^2 - x^39*y*z0^3 - 2*x^39*z0^4 - x^42 + 2*x^40*y*z0 + 2*x^38*y*z0^3 + x^39*y*z0 + x^39*z0^2 + x^37*z0^4 - x^40 + 2*x^38*y*z0 - 2*x^38*z0^2 + 2*x^36*y*z0^3 + 2*x^36*z0^4 + x^39 - x^37*y*z0 - 2*x^35*y*z0^3 + x^35*z0^4 + x^38 - x^36*z0^2 + x^34*z0^4 - x^37 - x^35*y*z0 + x^35*z0^2 - x^33*y*z0^3 - 2*x^33*z0^4 + 2*x^36 + 2*x^34*y*z0 - 2*x^34*z0^2 + x^32*y^2*z0^2 + 2*x^32*z0^4 - x^35 - 2*x^33*y*z0 - 2*x^33*z0^2 - 2*x^31*y*z0^3 - x^31*z0^4 - x^34 + x^32*y*z0 + 2*x^32*z0^2 + x^30*y*z0^3 - x^30*z0^4 + x^33 - 2*x^31*y*z0 + 2*x^31*z0^2 - x^29*y*z0^3 + 2*x^32 - x^30*y*z0 + x^30*z0^2 - 2*x^28*y*z0^3 + x^28*z0^4 + x^29*z0^2 - x^27*y*z0^3 - 2*x^30 + x^28*y*z0 + x^28*z0^2 + x^29 + 2*x^27*y*z0 + x^27*z0^2 - x^25*y*z0^3 + x^25*z0^4 + x^28 - x^26*y*z0 - 2*x^27 + 2*x^25*y*z0 + x^25*z0^2 - 2*x^23*y*z0^3 + 2*x^23*z0^4 + 2*x^26 + 2*x^22*z0^4 + 2*x^25 + 2*x^23*y*z0 - x^23*z0^2 - x^21*y*z0^3 - x^21*z0^4 - 2*x^24 - 2*x^22*y*z0 - 2*x^22*z0^2 - 2*x^23 - 2*x^21*y*z0 - x^21*z0^2 + 2*x^19*z0^4 - 2*x^22 + 2*x^20*y*z0 - x^20*z0^2 + x^18*z0^4 + 2*x^21 - 2*x^19*y*z0 - 2*x^19*z0^2 + 2*x^17*y*z0^3 - x^17*z0^4 - x^20 - 2*x^18*y*z0 + 2*x^18*z0^2 + 2*x^16*z0^4 + x^19 + 2*x^17*y*z0 - 2*x^17*z0^2 + x^15*y*z0^3 + 2*x^15*z0^4 + x^18 - 2*x^16*y*z0 - 2*x^14*y*z0^3 - x^14*z0^4 - x^17 + 2*x^15*z0^2 + x^13*y*z0^3 - 2*x^16 - x^12*y*z0^3 - 2*x^12*z0^4 - x^15 + x^13*y*z0 - x^13*z0^2 + 2*x^11*y*z0^3 + 2*x^11*z0^4 - 2*x^14 - 2*x^12*y*z0 + 2*x^12*z0^2 - 2*x^10*z0^4 - x^11*y*z0 + 2*x^11*z0^2 + 2*x^9*y*z0^3 + x^9*z0^4 + 2*x^12 + x^10*y*z0 - 2*x^10*z0^2 + 2*x^8*y*z0^3 + x^8*z0^4 - x^9*y*z0 + x^9*z0^2 + 2*x^7*y*z0^3 - x^7*z0^4 - x^10 - 2*x^8*y*z0 + 2*x^8*z0^2 - x^6*y*z0^3 + 2*x^6*z0^4 - 2*x^9 + 2*x^7*z0^2 + x^5*y*z0^3 + 2*x^5*z0^4 + 2*x^8 + 2*x^6*y*z0 + 2*x^6*z0^2 + x^4*z0^4 - 2*x^7 + x^5*y*z0 + x^5*z0^2 + 2*x^3*z0^4 + x^6 + 2*x^4*y*z0 - x^4*z0^2 - x^2*y*z0^3 - x^5 - x^3*y*z0 - x^3*z0^2 + x^2*z0^2 - x^3)/y) * dx,
+ ((-2*x^61*z0^3 - 2*x^60*z0^3 + 2*x^58*y^2*z0^3 - 2*x^61*z0 - x^59*z0^3 + 2*x^57*y^2*z0^3 - x^60*z0 + 2*x^58*y^2*z0 + x^56*y^2*z0^3 + x^57*y^2*z0 + 2*x^55*y^2*z0^3 + 2*x^58*z0 + x^56*z0^3 + 2*x^54*y^2*z0^3 + x^57*z0 - 2*x^55*z0 - x^53*z0^3 - x^54*z0 + 2*x^52*z0 + x^50*z0^3 + x^51*z0 - 2*x^49*z0 - x^47*z0^3 - x^48*z0 + 2*x^46*z0 + x^44*z0^3 + x^45*z0 - 2*x^43*z0 + 2*x^41*z0^3 - 2*x^39*y*z0^4 - x^42*z0 - x^40*y*z0^2 - 2*x^41*z0 - 2*x^39*y*z0^2 - 2*x^37*y*z0^4 - x^40*y + 2*x^40*z0 + 2*x^38*y*z0^2 + x^38*z0^3 + 2*x^36*y*z0^4 + 2*x^39*y - 2*x^39*z0 + x^37*y*z0^2 + 2*x^37*z0^3 + x^35*y*z0^4 - x^38*y + x^38*z0 - x^36*y*z0^2 + 2*x^36*z0^3 + x^34*y*z0^4 - 2*x^37*y - x^37*z0 + x^35*y*z0^2 + x^33*y*z0^4 + x^36*y + 2*x^36*z0 - x^34*y*z0^2 + 2*x^34*z0^3 + x^32*y^2*z0^3 - x^32*y*z0^4 + 2*x^35*y + x^35*z0 - x^33*y*z0^2 - 2*x^31*y*z0^4 - 2*x^34*z0 + x^32*y*z0^2 + 2*x^32*z0^3 + 2*x^30*y*z0^4 + x^33*z0 - 2*x^31*y*z0^2 + 2*x^31*z0^3 - 2*x^29*y*z0^4 - x^32*y + x^32*z0 - 2*x^28*y*z0^4 + x^31*z0 - x^29*y*z0^2 - 2*x^27*y*z0^4 - x^30*y + x^30*z0 + 2*x^28*y*z0^2 - x^28*z0^3 - x^26*y*z0^4 - x^29*y + 2*x^29*z0 + 2*x^27*y*z0^2 - x^27*z0^3 + 2*x^28*z0 - 2*x^26*y*z0^2 - 2*x^26*z0^3 - 2*x^24*y*z0^4 + x^27*y + x^27*z0 + x^25*y*z0^2 + x^25*z0^3 - x^23*y*z0^4 + 2*x^26*y + 2*x^26*z0 - 2*x^24*y*z0^2 - x^24*z0^3 - 2*x^22*y*z0^4 + x^25*y - x^23*y*z0^2 - 2*x^23*z0^3 + x^21*y*z0^4 + x^24*y - 2*x^24*z0 - x^22*y*z0^2 - x^20*y*z0^4 - x^23*z0 - 2*x^21*y*z0^2 - x^19*y*z0^4 + 2*x^22*y + 2*x^22*z0 + x^20*y*z0^2 + 2*x^20*z0^3 - 2*x^18*y*z0^4 - x^21*y + 2*x^21*z0 - 2*x^19*y*z0^2 - 2*x^19*z0^3 + x^17*y*z0^4 - x^20*y - 2*x^20*z0 + x^16*y*z0^4 - x^19*z0 + x^17*y*z0^2 - x^18*y + 2*x^18*z0 - x^16*y*z0^2 - 2*x^16*z0^3 + 2*x^14*y*z0^4 + x^17*y - x^17*z0 + x^15*y*z0^2 + 2*x^14*y*z0^2 - x^15*y + 2*x^15*z0 - 2*x^13*y*z0^2 - x^11*y*z0^4 - x^14*z0 + 2*x^12*z0^3 + x^10*y*z0^4 - 2*x^13*y + 2*x^13*z0 - x^11*y*z0^2 - x^11*z0^3 - x^9*y*z0^4 + 2*x^12*z0 + 2*x^10*y*z0^2 + x^10*z0^3 + 2*x^8*y*z0^4 - x^11*y - x^11*z0 + x^9*y*z0^2 + x^9*z0^3 + 2*x^7*y*z0^4 - x^10*y - 2*x^10*z0 - x^8*y*z0^2 - 2*x^8*z0^3 + 2*x^6*y*z0^4 + x^9*z0 + x^7*y*z0^2 + x^7*z0^3 + x^5*y*z0^4 + x^8*y + x^8*z0 - 2*x^6*y*z0^2 - 2*x^6*z0^3 + x^7*y - x^5*y*z0^2 + x^6*y + 2*x^6*z0 + 2*x^4*y*z0^2 + 2*x^4*z0^3 + 2*x^2*y*z0^4 - x^5*z0 + x^3*z0^3 - 2*x^4*z0 - 2*x^2*y*z0^2 - 2*x^2*z0^3 - 2*x^3*y - 2*x^3*z0 + x^2*y)/y) * dx,
+ ((-2*x^61*z0^4 + 2*x^58*y^2*z0^4 - x^60*z0^2 + 2*x^58*z0^4 + 2*x^61 + x^57*y^2*z0^2 - 2*x^58*y^2 + x^57*z0^2 - 2*x^55*z0^4 - 2*x^58 - x^54*z0^2 + 2*x^52*z0^4 + 2*x^55 + x^51*z0^2 - 2*x^49*z0^4 - 2*x^52 - x^48*z0^2 + 2*x^46*z0^4 + 2*x^49 + x^45*z0^2 - 2*x^43*z0^4 - 2*x^46 - x^41*z0^4 - x^42*z0^2 - x^40*y*z0^3 - 2*x^40*z0^4 + 2*x^43 - 2*x^38*z0^4 - x^41 - 2*x^39*y*z0 + x^39*z0^2 + x^37*y*z0^3 - x^37*z0^4 + x^40 - x^39 - 2*x^38 - x^36*y*z0 - x^36*z0^2 - x^34*y*z0^3 + x^34*z0^4 + x^32*y^2*z0^4 - 2*x^37 + 2*x^35*y*z0 - 2*x^35*z0^2 - x^33*z0^4 + x^36 + x^34*z0^2 + 2*x^32*z0^4 - 2*x^35 + 2*x^33*z0^2 - x^31*y*z0^3 + 2*x^34 - x^32*y*z0 + 2*x^32*z0^2 - x^30*y*z0^3 + x^33 + 2*x^31*y*z0 + x^31*z0^2 - x^29*y*z0^3 + 2*x^29*z0^4 + x^32 - 2*x^30*y*z0 - x^30*z0^2 + 2*x^28*z0^4 + 2*x^31 - 2*x^29*y*z0 + 2*x^27*y*z0^3 - x^27*z0^4 - x^30 - x^28*y*z0 - 2*x^26*y*z0^3 + 2*x^26*z0^4 + x^29 + x^27*y*z0 + x^27*z0^2 - 2*x^25*y*z0^3 - 2*x^25*z0^4 + 2*x^26*y*z0 + 2*x^26*z0^2 - 2*x^24*y*z0^3 + 2*x^24*z0^4 - x^27 + x^25*y*z0 + x^25*z0^2 - x^23*y*z0^3 - 2*x^23*z0^4 - x^26 - 2*x^24*z0^2 - 2*x^22*y*z0^3 + 2*x^22*z0^4 + x^25 - 2*x^23*y*z0 - x^21*y*z0^3 - x^21*z0^4 - 2*x^22*y*z0 - 2*x^22*z0^2 + x^20*y*z0^3 - 2*x^20*z0^4 - 2*x^23 - 2*x^21*y*z0 - 2*x^21*z0^2 + 2*x^19*y*z0^3 - 2*x^19*z0^4 - x^22 - 2*x^20*y*z0 - 2*x^20*z0^2 + 2*x^18*y*z0^3 + 2*x^21 - 2*x^19*y*z0 + 2*x^19*z0^2 + x^17*z0^4 - 2*x^20 + 2*x^18*y*z0 + x^18*z0^2 + 2*x^16*z0^4 - x^19 - 2*x^17*z0^2 + 2*x^15*y*z0^3 + 2*x^15*z0^4 + 2*x^18 + x^16*y*z0 + x^16*z0^2 + 2*x^14*y*z0^3 + 2*x^14*z0^4 + 2*x^17 - x^15*z0^2 + 2*x^13*z0^4 - 2*x^14*y*z0 + x^14*z0^2 + 2*x^12*y*z0^3 - x^12*z0^4 - x^13*y*z0 + x^13*z0^2 + 2*x^11*y*z0^3 - x^11*z0^4 - x^12*y*z0 - x^12*z0^2 + 2*x^10*y*z0^3 - x^10*z0^4 - 2*x^11*y*z0 - x^11*z0^2 - x^9*z0^4 + 2*x^12 + 2*x^10*y*z0 - x^10*z0^2 - x^8*y*z0^3 - x^11 + x^7*y*z0^3 + x^7*z0^4 - 2*x^10 - x^8*z0^2 - x^6*y*z0^3 - 2*x^7*z0^2 - 2*x^5*y*z0^3 - x^5*z0^4 + x^8 - x^6*y*z0 - x^6*z0^2 + x^4*y*z0^3 - 2*x^4*z0^4 - x^7 + x^5*y*z0 - x^5*z0^2 - 2*x^3*y*z0^3 - 2*x^3*z0^4 + 2*x^6 + x^4*y*z0 + 2*x^4*z0^2 - 2*x^2*y*z0^3 + 2*x^2*z0^4 - 2*x^5 + 2*x^3*z0^2 + 2*x^2*y*z0 + 2*x^3 + x^2)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((2*x^60*z0^4 - 2*x^61*z0^2 + 2*x^59*z0^4 - 2*x^57*y^2*z0^4 - x^60*z0^2 + 2*x^58*y^2*z0^2 - 2*x^56*y^2*z0^4 + 2*x^61 + x^57*y^2*z0^2 - 2*x^57*z0^4 - 2*x^60 - 2*x^58*y^2 + 2*x^58*z0^2 - 2*x^56*z0^4 + 2*x^57*y^2 + x^57*z0^2 - 2*x^58 + 2*x^54*z0^4 + 2*x^57 - 2*x^55*z0^2 + 2*x^53*z0^4 - x^54*z0^2 + 2*x^55 - 2*x^51*z0^4 - 2*x^54 + 2*x^52*z0^2 - 2*x^50*z0^4 + x^51*z0^2 - 2*x^52 + 2*x^48*z0^4 + 2*x^51 - 2*x^49*z0^2 + 2*x^47*z0^4 - x^48*z0^2 + 2*x^49 - 2*x^45*z0^4 - 2*x^48 + 2*x^46*z0^2 - 2*x^44*z0^4 + x^45*z0^2 - 2*x^46 + 2*x^42*z0^4 + 2*x^45 - 2*x^43*z0^2 - 2*x^41*z0^4 - x^42*z0^2 - x^40*z0^4 + 2*x^43 - 2*x^41*z0^2 - 2*x^39*y*z0^3 + x^39*z0^4 - 2*x^42 - x^40*y*z0 + 2*x^40*z0^2 + 2*x^38*z0^4 + x^41 - 2*x^39*y*z0 - 2*x^39*z0^2 - x^37*z0^4 - 2*x^40 + x^38*y*z0 + x^38*z0^2 - x^36*y*z0^3 + 2*x^36*z0^4 - x^39 - 2*x^37*y*z0 + 2*x^37*z0^2 - 2*x^35*y*z0^3 + x^35*z0^4 + x^38 - x^36*y*z0 + 2*x^36*z0^2 - x^34*y*z0^3 - 2*x^34*z0^4 + 2*x^37 - x^35*y*z0 + 2*x^35*z0^2 + x^33*z0^4 - 2*x^36 + 2*x^34*y*z0 + x^32*y*z0^3 + 2*x^32*z0^4 + x^33*y^2 - 2*x^31*y*z0^3 + x^31*z0^4 - 2*x^32*y*z0 - x^32*z0^2 + 2*x^30*y*z0^3 + 2*x^33 + 2*x^31*z0^2 - x^29*y*z0^3 + x^29*z0^4 + 2*x^32 + 2*x^28*y*z0^3 + x^28*z0^4 - 2*x^31 + 2*x^29*y*z0 + 2*x^29*z0^2 - 2*x^27*y*z0^3 + x^27*z0^4 + x^30 + x^28*z0^2 - x^26*y*z0^3 + x^29 + x^27*y*z0 + x^25*z0^4 - x^28 + x^26*y*z0 - x^26*z0^2 - 2*x^24*y*z0^3 - 2*x^24*z0^4 + 2*x^25*z0^2 + 2*x^23*y*z0^3 - 2*x^26 + 2*x^24*y*z0 + x^24*z0^2 - x^22*y*z0^3 - x^25 + x^23*y*z0 + x^21*y*z0^3 + 2*x^21*z0^4 + x^22*z0^2 - x^20*y*z0^3 - x^20*z0^4 - x^23 + 2*x^21*y*z0 - x^21*z0^2 - 2*x^19*y*z0^3 - 2*x^22 + 2*x^20*z0^2 - 2*x^18*y*z0^3 - x^18*z0^4 - x^19*y*z0 - x^19*z0^2 + 2*x^17*y*z0^3 - 2*x^17*z0^4 - x^18*z0^2 - x^16*y*z0^3 - x^19 - 2*x^17*y*z0 + x^17*z0^2 + 2*x^15*z0^4 - x^18 - 2*x^16*z0^2 + x^14*y*z0^3 + x^14*z0^4 - x^17 - x^15*y*z0 - 2*x^15*z0^2 + x^13*y*z0^3 + x^13*z0^4 + x^16 - 2*x^14*y*z0 - 2*x^12*z0^4 + 2*x^15 + 2*x^13*y*z0 + x^11*y*z0^3 + x^11*z0^4 + x^14 + x^12*y*z0 - x^12*z0^2 + 2*x^10*z0^4 - x^13 - 2*x^11*y*z0 - x^11*z0^2 - x^12 + 2*x^10*z0^2 + x^8*y*z0^3 - x^8*z0^4 - x^9*y*z0 + x^7*y*z0^3 - x^7*z0^4 - x^8*z0^2 - 2*x^6*y*z0^3 - 2*x^9 - x^7*y*z0 - 2*x^7*z0^2 + 2*x^5*y*z0^3 - 2*x^5*z0^4 + 2*x^8 + x^6*y*z0 - 2*x^6*z0^2 + x^4*y*z0^3 - x^4*z0^4 + x^7 + x^5*z0^2 - x^6 - 2*x^4*y*z0 + 2*x^4*z0^2 - x^2*y*z0^3 + x^2*z0^4 - x^3*y*z0 + 2*x^3*z0^2 + x^2*y*z0 + 2*x^2*z0^2 - 2*x^3)/y) * dx,
+ ((-x^61*z0^3 + x^58*y^2*z0^3 + 2*x^61*z0 - x^59*z0^3 - 2*x^60*z0 - 2*x^58*y^2*z0 + 2*x^58*z0^3 + x^56*y^2*z0^3 - x^59*z0 + 2*x^57*y^2*z0 + x^57*z0^3 - x^55*y^2*z0^3 - 2*x^58*z0 + x^56*y^2*z0 + x^56*z0^3 - x^54*y^2*z0^3 + 2*x^57*z0 - 2*x^55*z0^3 + x^56*z0 - x^54*z0^3 + 2*x^55*z0 - x^53*z0^3 - 2*x^54*z0 + 2*x^52*z0^3 - x^53*z0 + x^51*z0^3 - 2*x^52*z0 + x^50*z0^3 + 2*x^51*z0 - 2*x^49*z0^3 + x^50*z0 - x^48*z0^3 + 2*x^49*z0 - x^47*z0^3 - 2*x^48*z0 + 2*x^46*z0^3 - x^47*z0 + x^45*z0^3 - 2*x^46*z0 + x^44*z0^3 + 2*x^45*z0 - 2*x^43*z0^3 + x^44*z0 - x^42*z0^3 + 2*x^43*z0 - 2*x^41*z0^3 - x^39*y*z0^4 - 2*x^42*z0 + 2*x^40*y*z0^2 + 2*x^38*y*z0^4 + x^41*z0 + 2*x^39*y*z0^2 - x^39*z0^3 + x^37*y*z0^4 + x^40*y - 2*x^38*y*z0^2 - 2*x^38*z0^3 - x^39*y - 2*x^39*z0 + 2*x^37*z0^3 + 2*x^35*y*z0^4 - 2*x^38*y - x^38*z0 - x^36*y*z0^2 - 2*x^36*z0^3 + 2*x^37*y - 2*x^35*y*z0^2 - x^33*y*z0^4 - x^36*y - 2*x^36*z0 - x^34*y*z0^2 + x^34*z0^3 + x^35*z0 + x^33*y^2*z0 - 2*x^33*z0^3 - 2*x^31*y*z0^4 - 2*x^34*y + 2*x^34*z0 - x^32*y*z0^2 - x^32*z0^3 - 2*x^30*y*z0^4 + 2*x^33*y - 2*x^31*y*z0^2 + x^31*z0^3 + x^29*y*z0^4 - 2*x^32*z0 - x^30*y*z0^2 + 2*x^30*z0^3 + x^28*y*z0^4 - 2*x^31*y - x^29*y*z0^2 + 2*x^29*z0^3 + x^27*y*z0^4 - x^30*y + x^30*z0 + x^28*y*z0^2 - 2*x^28*z0^3 + x^26*y*z0^4 - x^29*y + x^29*z0 - x^27*y*z0^2 - x^27*z0^3 + 2*x^25*y*z0^4 - 2*x^28*y - 2*x^28*z0 + x^26*y*z0^2 + x^24*y*z0^4 + x^27*y + 2*x^27*z0 + 2*x^25*y*z0^2 + x^25*z0^3 - x^23*y*z0^4 - 2*x^26*y - 2*x^26*z0 - x^24*y*z0^2 + 2*x^24*z0^3 - x^22*y*z0^4 - 2*x^25*y + x^25*z0 + 2*x^23*y*z0^2 - x^23*z0^3 + 2*x^21*y*z0^4 + x^24*y - 2*x^24*z0 + 2*x^22*y*z0^2 - x^22*z0^3 - x^20*y*z0^4 - x^23*y + x^23*z0 - x^21*y*z0^2 + 2*x^21*z0^3 - 2*x^19*y*z0^4 + 2*x^22*y + x^18*y*z0^4 - 2*x^21*y - 2*x^21*z0 - 2*x^19*y*z0^2 - 2*x^17*y*z0^4 - 2*x^20*z0 - x^18*y*z0^2 - 2*x^18*z0^3 + 2*x^16*y*z0^4 + 2*x^19*y - x^19*z0 + x^17*y*z0^2 - 2*x^17*z0^3 - x^18*y - x^18*z0 + 2*x^16*y*z0^2 + 2*x^16*z0^3 - x^14*y*z0^4 + x^17*z0 + x^15*z0^3 + 2*x^16*y + x^16*z0 - x^14*y*z0^2 - x^14*z0^3 + x^15*y - 2*x^15*z0 - x^13*y*z0^2 + 2*x^13*z0^3 - 2*x^11*y*z0^4 + x^14*y - x^14*z0 - x^12*y*z0^2 + x^10*y*z0^4 + 2*x^13*y - 2*x^13*z0 - 2*x^11*z0^3 + x^9*y*z0^4 + x^12*y + 2*x^12*z0 + 2*x^10*y*z0^2 + 2*x^8*y*z0^4 + 2*x^11*y - 2*x^11*z0 - 2*x^9*y*z0^2 + x^9*z0^3 - 2*x^7*y*z0^4 - x^10*y - x^10*z0 + x^8*y*z0^2 + 2*x^8*z0^3 - x^9*y - 2*x^7*y*z0^2 + x^7*z0^3 - x^5*y*z0^4 + x^8*y + x^8*z0 + x^6*y*z0^2 + 2*x^6*z0^3 + 2*x^4*y*z0^4 - 2*x^7*z0 + x^5*y*z0^2 - 2*x^3*y*z0^4 - 2*x^6*y + x^4*y*z0^2 - 2*x^4*z0^3 - 2*x^2*y*z0^4 - x^5*y + x^5*z0 - x^3*y*z0^2 + x^3*z0^3 + x^4*y - x^4*z0 - x^2*y*z0^2 - x^2*z0^3 - x^3*y + 2*x^2*y)/y) * dx,
+ ((x^61*z0^4 - x^58*y^2*z0^4 - 2*x^61*z0^2 - x^59*z0^4 + 2*x^58*y^2*z0^2 - x^58*z0^4 + x^56*y^2*z0^4 + x^60 + 2*x^58*z0^2 + x^56*z0^4 - x^57*y^2 + x^55*z0^4 - x^57 - 2*x^55*z0^2 - x^53*z0^4 - x^52*z0^4 + x^54 + 2*x^52*z0^2 + x^50*z0^4 + x^49*z0^4 - x^51 - 2*x^49*z0^2 - x^47*z0^4 - x^46*z0^4 + x^48 + 2*x^46*z0^2 + x^44*z0^4 + x^43*z0^4 - x^45 - 2*x^43*z0^2 - 2*x^40*y*z0^3 - 2*x^41*z0^2 - 2*x^39*y*z0^3 - x^39*z0^4 + x^42 - x^40*y*z0 - x^40*z0^2 + x^38*y*z0^3 + 2*x^38*z0^4 + x^41 + 2*x^39*y*z0 + 2*x^39*z0^2 + x^37*y*z0^3 + x^37*z0^4 - x^40 + x^38*z0^2 - x^36*y*z0^3 + 2*x^36*z0^4 - 2*x^39 + x^37*y*z0 - 2*x^37*z0^2 + x^35*y*z0^3 - x^35*z0^4 - x^36*y*z0 + 2*x^36*z0^2 + x^37 - x^35*y*z0 + x^33*y^2*z0^2 + 2*x^33*y*z0^3 - x^36 + 2*x^34*y*z0 + x^34*z0^2 - x^32*y*z0^3 + 2*x^32*z0^4 + 2*x^33*y*z0 - 2*x^33*z0^2 - 2*x^31*y*z0^3 - x^34 + 2*x^32*y*z0 - 2*x^32*z0^2 - 2*x^30*y*z0^3 - 2*x^30*z0^4 + x^33 + x^31*y*z0 + x^31*z0^2 + x^29*y*z0^3 + 2*x^29*z0^4 - 2*x^30*y*z0 - x^30*z0^2 - 2*x^28*y*z0^3 - x^28*z0^4 - x^31 + 2*x^29*y*z0 - 2*x^29*z0^2 - x^27*y*z0^3 + x^27*z0^4 - x^30 - 2*x^28*y*z0 - 2*x^28*z0^2 - x^26*y*z0^3 - 2*x^26*z0^4 + x^29 + x^25*y*z0^3 + 2*x^25*z0^4 - 2*x^28 - 2*x^26*y*z0 - x^26*z0^2 - x^24*z0^4 - x^27 + 2*x^25*y*z0 - x^25*z0^2 + 2*x^23*z0^4 - x^26 + x^24*y*z0 + 2*x^22*z0^4 + 2*x^25 - x^23*y*z0 + 2*x^23*z0^2 - x^21*z0^4 + x^24 + x^22*y*z0 - x^22*z0^2 + 2*x^20*y*z0^3 + x^20*z0^4 - 2*x^23 + 2*x^21*z0^2 - x^19*y*z0^3 + 2*x^19*z0^4 - 2*x^22 + 2*x^20*y*z0 + x^20*z0^2 + 2*x^18*y*z0^3 + 2*x^18*z0^4 - x^21 - x^19*y*z0 - x^17*y*z0^3 + x^20 - 2*x^18*y*z0 - 2*x^18*z0^2 + 2*x^16*y*z0^3 - x^16*z0^4 - 2*x^19 + x^17*y*z0 + 2*x^17*z0^2 + x^15*y*z0^3 - x^15*z0^4 + 2*x^18 + x^16*y*z0 - x^16*z0^2 - 2*x^14*y*z0^3 - x^14*z0^4 + x^17 + x^15*z0^2 - 2*x^13*z0^4 - x^16 - 2*x^14*y*z0 + x^14*z0^2 + 2*x^12*y*z0^3 + x^12*z0^4 + 2*x^15 + x^13*y*z0 - 2*x^13*z0^2 - 2*x^11*y*z0^3 - x^11*z0^4 + x^14 - 2*x^12*z0^2 - 2*x^10*y*z0^3 - 2*x^13 + x^11*y*z0 + x^11*z0^2 + 2*x^9*y*z0^3 + x^9*z0^4 - 2*x^12 + x^10*y*z0 + x^10*z0^2 + 2*x^8*y*z0^3 + x^11 - x^9*y*z0 - x^9*z0^2 - 2*x^7*y*z0^3 + x^10 - x^8*y*z0 - x^8*z0^2 - x^6*z0^4 - x^9 + x^7*y*z0 - x^5*y*z0^3 + x^8 + x^6*y*z0 + x^6*z0^2 + x^4*z0^4 - 2*x^7 + x^5*z0^2 - x^3*y*z0^3 + x^3*z0^4 + 2*x^6 - x^4*y*z0 + 2*x^2*y*z0^3 + x^2*z0^4 + x^5 + 2*x^3*y*z0 + x^3*z0^2 + x^2*y*z0 + x^2*z0^2 - x^3 - x^2)/y) * dx,
+ ((-x^60*z0^3 + x^61*z0 + x^57*y^2*z0^3 + 2*x^60*z0 - x^58*y^2*z0 - 2*x^58*z0^3 - 2*x^57*y^2*z0 + 2*x^57*z0^3 + 2*x^55*y^2*z0^3 - x^58*z0 - x^54*y^2*z0^3 - 2*x^57*z0 + 2*x^55*z0^3 - 2*x^54*z0^3 + x^55*z0 + 2*x^54*z0 - 2*x^52*z0^3 + 2*x^51*z0^3 - x^52*z0 - 2*x^51*z0 + 2*x^49*z0^3 - 2*x^48*z0^3 + x^49*z0 + 2*x^48*z0 - 2*x^46*z0^3 + 2*x^45*z0^3 - x^46*z0 - 2*x^45*z0 + 2*x^43*z0^3 - 2*x^42*z0^3 + x^43*z0 + 2*x^42*z0 - 2*x^40*z0^3 - 2*x^38*y*z0^4 + x^41*z0 + x^39*y*z0^2 + 2*x^39*z0^3 - 2*x^37*y*z0^4 - 2*x^40*y - x^38*y*z0^2 + 2*x^39*y + 2*x^39*z0 + 2*x^37*y*z0^2 + 2*x^37*z0^3 - 2*x^35*y*z0^4 - 2*x^38*y + 2*x^38*z0 - 2*x^36*y*z0^2 + 2*x^36*z0^3 - 2*x^34*y*z0^4 + x^37*y + 2*x^37*z0 - x^35*y*z0^2 + 2*x^35*z0^3 + x^33*y^2*z0^3 + 2*x^33*y*z0^4 - 2*x^36*z0 + 2*x^34*y*z0^2 - 2*x^34*z0^3 + 2*x^32*y*z0^4 + x^33*y*z0^2 - x^33*z0^3 - x^31*y*z0^4 + x^34*y - x^34*z0 + x^32*y*z0^2 - x^32*z0^3 + 2*x^30*y*z0^4 - x^33*z0 + 2*x^31*y*z0^2 + x^31*z0^3 - 2*x^29*y*z0^4 + 2*x^30*z0^3 + x^28*y*z0^4 + x^31*y - 2*x^31*z0 + 2*x^29*z0^3 + x^27*y*z0^4 - 2*x^30*z0 - x^28*y*z0^2 + x^28*z0^3 + x^26*y*z0^4 + 2*x^29*y + x^29*z0 + x^27*y*z0^2 + x^27*z0^3 + 2*x^25*y*z0^4 + x^28*y - x^28*z0 + x^26*y*z0^2 - 2*x^26*z0^3 + x^24*y*z0^4 - 2*x^27*y - 2*x^27*z0 + x^25*y*z0^2 - x^25*z0^3 + x^23*y*z0^4 + 2*x^26*y - x^26*z0 - x^24*y*z0^2 + x^22*y*z0^4 - x^25*z0 + 2*x^23*y*z0^2 + 2*x^23*z0^3 - 2*x^21*y*z0^4 + x^24*z0 - x^22*y*z0^2 + 2*x^22*z0^3 + x^20*y*z0^4 - 2*x^23*z0 + x^21*y*z0^2 + 2*x^21*z0^3 - 2*x^19*y*z0^4 + 2*x^22*y + 2*x^22*z0 - 2*x^20*z0^3 + 2*x^21*y - 2*x^21*z0 - x^19*y*z0^2 + x^17*y*z0^4 + 2*x^20*y - x^20*z0 - 2*x^18*y*z0^2 + 2*x^19*y - 2*x^19*z0 + 2*x^17*z0^3 - 2*x^18*y + x^18*z0 + 2*x^16*y*z0^2 - 2*x^16*z0^3 - x^14*y*z0^4 + 2*x^17*y + x^17*z0 - 2*x^15*z0^3 + 2*x^16*y - 2*x^16*z0 + x^14*y*z0^2 - x^14*z0^3 + 2*x^12*y*z0^4 + x^15*y + 2*x^15*z0 - 2*x^13*y*z0^2 + 2*x^14*y + 2*x^12*y*z0^2 + 2*x^12*z0^3 + 2*x^10*y*z0^4 + 2*x^13*y + 2*x^13*z0 + x^11*y*z0^2 + 2*x^12*y - x^12*z0 + x^10*y*z0^2 + 2*x^10*z0^3 - x^8*y*z0^4 + x^11*y - 2*x^11*z0 + 2*x^9*y*z0^2 - 2*x^9*z0^3 + x^10*y + 2*x^10*z0 - x^8*y*z0^2 - x^9*y + x^9*z0 - 2*x^7*y*z0^2 - 2*x^7*z0^3 - 2*x^5*y*z0^4 + 2*x^8*y - x^8*z0 - 2*x^4*y*z0^4 - x^7*y + 2*x^5*y*z0^2 + 2*x^5*z0^3 - 2*x^3*y*z0^4 - 2*x^6*y + x^6*z0 + 2*x^4*z0^3 - x^2*y*z0^4 + 2*x^5*z0 - x^3*y*z0^2 + 2*x^3*z0^3 - 2*x^4*y - x^4*z0 + x^2*y*z0^2 + x^2*z0^3 - x^3*y + 2*x^3*z0 - 2*x^2*y - x^2*z0)/y) * dx,
+ ((-x^61*z0^4 + 2*x^60*z0^4 + x^58*y^2*z0^4 + 2*x^61*z0^2 - 2*x^57*y^2*z0^4 + 2*x^60*z0^2 - 2*x^58*y^2*z0^2 + x^58*z0^4 + 2*x^61 - 2*x^57*y^2*z0^2 - 2*x^57*z0^4 + 2*x^60 - 2*x^58*y^2 - 2*x^58*z0^2 - 2*x^57*y^2 - 2*x^57*z0^2 - x^55*z0^4 - 2*x^58 + 2*x^54*z0^4 - 2*x^57 + 2*x^55*z0^2 + 2*x^54*z0^2 + x^52*z0^4 + 2*x^55 - 2*x^51*z0^4 + 2*x^54 - 2*x^52*z0^2 - 2*x^51*z0^2 - x^49*z0^4 - 2*x^52 + 2*x^48*z0^4 - 2*x^51 + 2*x^49*z0^2 + 2*x^48*z0^2 + x^46*z0^4 + 2*x^49 - 2*x^45*z0^4 + 2*x^48 - 2*x^46*z0^2 - 2*x^45*z0^2 - x^43*z0^4 - 2*x^46 + 2*x^42*z0^4 - 2*x^45 + 2*x^43*z0^2 + 2*x^42*z0^2 + 2*x^40*y*z0^3 + 2*x^43 + 2*x^41*z0^2 + 2*x^39*y*z0^3 + x^39*z0^4 + 2*x^42 + x^40*y*z0 - 2*x^40*z0^2 + x^39*y*z0 + x^39*z0^2 - x^37*y*z0^3 + x^40 - x^38*y*z0 - x^38*z0^2 + x^36*y*z0^3 + x^36*z0^4 - 2*x^37*y*z0 + x^37*z0^2 + 2*x^35*y*z0^3 + 2*x^35*z0^4 + x^33*y^2*z0^4 - x^36*y*z0 - x^36*z0^2 + 2*x^34*y*z0^3 - x^37 + x^35*y*z0 - x^36 - 2*x^34*y*z0 - 2*x^34*z0^2 - x^32*y*z0^3 - x^35 - 2*x^33*y*z0 + x^33*z0^2 - x^31*z0^4 - 2*x^34 + x^32*y*z0 - 2*x^30*y*z0^3 + x^31*y*z0 + x^31*z0^2 + 2*x^29*y*z0^3 - 2*x^32 + 2*x^30*y*z0 + 2*x^30*z0^2 - 2*x^29*y*z0 - 2*x^29*z0^2 - x^27*y*z0^3 - 2*x^30 - 2*x^28*y*z0 + 2*x^28*z0^2 + x^26*y*z0^3 - 2*x^26*z0^4 - 2*x^29 + x^27*y*z0 + 2*x^27*z0^2 + x^25*y*z0^3 + 2*x^25*z0^4 + 2*x^26*y*z0 + x^26*z0^2 - x^24*y*z0^3 + x^27 + 2*x^25*y*z0 + x^23*z0^4 - 2*x^24*y*z0 + 2*x^24*z0^2 + x^22*y*z0^3 - 2*x^22*z0^4 + 2*x^25 + 2*x^23*y*z0 + x^23*z0^2 - 2*x^21*y*z0^3 + 2*x^24 + 2*x^22*y*z0 + 2*x^22*z0^2 + 2*x^20*y*z0^3 - 2*x^23 - 2*x^21*z0^2 - x^19*y*z0^3 + 2*x^19*z0^4 - 2*x^22 - 2*x^20*y*z0 - 2*x^18*y*z0^3 + 2*x^18*z0^4 - x^21 + 2*x^19*y*z0 - 2*x^19*z0^2 + x^17*y*z0^3 + x^17*z0^4 + 2*x^20 + 2*x^18*y*z0 + 2*x^18*z0^2 - x^16*y*z0^3 - x^16*z0^4 + 2*x^17*y*z0 - x^15*y*z0^3 - x^15*z0^4 + x^18 + x^16*z0^2 - 2*x^14*z0^4 + x^17 + 2*x^15*y*z0 + x^13*z0^4 - 2*x^16 + 2*x^14*y*z0 + 2*x^14*z0^2 - x^12*y*z0^3 - 2*x^12*z0^4 - x^15 - x^13*y*z0 + 2*x^13*z0^2 - x^11*z0^4 + 2*x^14 + x^12*y*z0 + 2*x^12*z0^2 + x^10*y*z0^3 + 2*x^10*z0^4 + 2*x^13 + 2*x^11*y*z0 + 2*x^11*z0^2 + x^9*y*z0^3 - 2*x^12 - 2*x^10*y*z0 + x^10*z0^2 + x^8*z0^4 + x^11 + x^7*y*z0^3 - 2*x^7*z0^4 - x^10 - x^8*y*z0 + x^8*z0^2 + x^6*y*z0^3 + x^6*z0^4 - 2*x^7*y*z0 + x^7*z0^2 + 2*x^5*y*z0^3 - x^5*z0^4 - 2*x^8 - 2*x^6*y*z0 + 2*x^6*z0^2 + x^4*y*z0^3 - 2*x^4*z0^4 - x^7 + x^5*y*z0 - 2*x^5*z0^2 - 2*x^3*y*z0^3 - 2*x^3*z0^4 - 2*x^6 - 2*x^4*y*z0 - x^4*z0^2 - 2*x^2*y*z0^3 - x^2*z0^4 - x^5 + 2*x^3*y*z0 - 2*x^2*y*z0 - x^2*z0^2 + x^3 + 2*x^2)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^61*z0^4 + 2*x^60*z0^4 + x^58*y^2*z0^4 - x^61*z0^2 - 2*x^59*z0^4 - 2*x^57*y^2*z0^4 + x^60*z0^2 + x^58*y^2*z0^2 + x^58*z0^4 + 2*x^56*y^2*z0^4 - x^61 - x^57*y^2*z0^2 - 2*x^57*z0^4 + 2*x^60 + x^58*y^2 + x^58*z0^2 + 2*x^56*z0^4 - 2*x^57*y^2 - x^57*z0^2 - x^55*z0^4 + x^58 + 2*x^54*z0^4 - 2*x^57 - x^55*z0^2 - 2*x^53*z0^4 + x^54*z0^2 + x^52*z0^4 - x^55 - 2*x^51*z0^4 + 2*x^54 + x^52*z0^2 + 2*x^50*z0^4 - x^51*z0^2 - x^49*z0^4 + x^52 + 2*x^48*z0^4 - 2*x^51 - x^49*z0^2 - 2*x^47*z0^4 + x^48*z0^2 + x^46*z0^4 - x^49 - 2*x^45*z0^4 + 2*x^48 + x^46*z0^2 + 2*x^44*z0^4 - x^45*z0^2 - x^43*z0^4 + x^46 + 2*x^42*z0^4 - 2*x^45 - x^43*z0^2 - x^41*z0^4 + x^42*z0^2 + 2*x^40*y*z0^3 - x^40*z0^4 - x^43 - x^41*z0^2 - x^39*y*z0^3 + 2*x^42 + 2*x^40*y*z0 + 2*x^40*z0^2 + x^38*y*z0^3 + 2*x^38*z0^4 + x^41 - 2*x^39*y*z0 - x^37*z0^4 - 2*x^38*y*z0 - 2*x^38*z0^2 + 2*x^36*y*z0^3 + 2*x^36*z0^4 + x^39 + 2*x^37*y*z0 + x^35*y*z0^3 + x^35*z0^4 - 2*x^38 + x^36*y*z0 + x^34*y*z0^3 + 2*x^34*z0^4 - 2*x^37 + 2*x^35*y*z0 - 2*x^33*y*z0^3 + 2*x^33*z0^4 + x^34*y^2 - 2*x^34*z0^2 - x^32*y*z0^3 - x^32*z0^4 - 2*x^35 + 2*x^33*y*z0 - 2*x^31*y*z0^3 - x^31*z0^4 - x^34 - x^32*y*z0 - x^32*z0^2 + x^30*y*z0^3 - 2*x^33 - 2*x^31*y*z0 - 2*x^29*y*z0^3 - 2*x^29*z0^4 + 2*x^30*y*z0 + x^30*z0^2 - 2*x^28*y*z0^3 + 2*x^31 - 2*x^29*y*z0 - x^28*z0^2 - x^26*y*z0^3 + x^26*z0^4 - 2*x^29 + 2*x^27*y*z0 + 2*x^27*z0^2 + x^25*y*z0^3 - x^25*z0^4 + x^26*y*z0 - 2*x^26*z0^2 + 2*x^24*y*z0^3 + x^24*z0^4 - x^27 - x^25*y*z0 - 2*x^23*y*z0^3 - x^23*z0^4 + x^26 + x^24*y*z0 + 2*x^24*z0^2 - 2*x^22*y*z0^3 + 2*x^22*z0^4 - 2*x^25 - x^23*y*z0 - x^23*z0^2 + 2*x^21*y*z0^3 + x^21*z0^4 + x^24 - x^22*y*z0 + 2*x^20*y*z0^3 + x^20*z0^4 - x^23 - x^21*z0^2 + 2*x^19*y*z0^3 + 2*x^19*z0^4 - x^22 - 2*x^20*z0^2 + x^18*y*z0^3 - 2*x^18*z0^4 - x^21 - x^19*y*z0 - 2*x^17*z0^4 - 2*x^20 + x^18*y*z0 + 2*x^18*z0^2 - 2*x^19 - 2*x^17*y*z0 + 2*x^17*z0^2 - 2*x^15*y*z0^3 + x^15*z0^4 + x^18 + x^16*z0^2 - x^14*y*z0^3 - x^14*z0^4 - x^17 - 2*x^15*y*z0 - 2*x^15*z0^2 - x^13*z0^4 - x^14*y*z0 + x^14*z0^2 + 2*x^12*y*z0^3 - x^12*z0^4 + 2*x^13*z0^2 - x^12*z0^2 - 2*x^10*y*z0^3 - x^10*z0^4 - 2*x^13 - 2*x^11*y*z0 + 2*x^11*z0^2 + 2*x^9*y*z0^3 - 2*x^9*z0^4 + 2*x^12 + x^10*y*z0 - x^8*y*z0^3 - 2*x^8*z0^4 + x^11 - 2*x^9*y*z0 + x^7*z0^4 - 2*x^8*z0^2 - 2*x^6*y*z0^3 - 2*x^6*z0^4 + x^9 - 2*x^7*y*z0 - x^7*z0^2 - x^5*y*z0^3 - x^5*z0^4 + x^6*y*z0 + 2*x^6*z0^2 - x^4*y*z0^3 + 2*x^7 + x^5*y*z0 + x^5*z0^2 - x^3*z0^4 - 2*x^6 + x^4*z0^2 - 2*x^2*y*z0^3 - x^2*z0^4 - x^5 - x^3*y*z0 + x^3*z0^2 - x^3)/y) * dx,
+ ((2*x^61*z0^3 + x^60*z0^3 - 2*x^58*y^2*z0^3 - x^57*y^2*z0^3 + 2*x^60*z0 + 2*x^58*z0^3 - x^59*z0 - 2*x^57*y^2*z0 - 2*x^57*z0^3 + x^55*y^2*z0^3 + x^56*y^2*z0 + x^54*y^2*z0^3 - 2*x^57*z0 - 2*x^55*z0^3 + x^56*z0 + 2*x^54*z0^3 + 2*x^54*z0 + 2*x^52*z0^3 - x^53*z0 - 2*x^51*z0^3 - 2*x^51*z0 - 2*x^49*z0^3 + x^50*z0 + 2*x^48*z0^3 + 2*x^48*z0 + 2*x^46*z0^3 - x^47*z0 - 2*x^45*z0^3 - 2*x^45*z0 - 2*x^43*z0^3 + x^44*z0 + 2*x^42*z0^3 + 2*x^41*z0^3 + 2*x^39*y*z0^4 + 2*x^42*z0 + x^40*y*z0^2 + x^40*z0^3 - 2*x^38*y*z0^4 - x^41*z0 - x^37*y*z0^4 - x^38*z0^3 + x^36*y*z0^4 + x^39*z0 - x^37*y*z0^2 + 2*x^37*z0^3 + 2*x^35*y*z0^4 - x^38*y - 2*x^36*y*z0^2 + 2*x^34*y*z0^4 - 2*x^37*z0 + x^35*y*z0^2 + x^35*z0^3 - x^33*y*z0^4 + x^36*y + x^36*z0 + x^34*y^2*z0 - 2*x^34*y*z0^2 - x^34*z0^3 + 2*x^35*z0 + 2*x^33*y*z0^2 + x^33*z0^3 - x^31*y*z0^4 - x^34*y - 2*x^34*z0 - x^32*y*z0^2 + x^32*z0^3 - x^33*y - x^31*y*z0^2 + x^31*z0^3 + 2*x^29*y*z0^4 - x^32*y + x^32*z0 + 2*x^30*y*z0^2 - 2*x^28*y*z0^4 - 2*x^31*y + x^29*y*z0^2 + 2*x^29*z0^3 + x^27*y*z0^4 + 2*x^30*z0 - x^28*y*z0^2 - 2*x^28*z0^3 - x^26*y*z0^4 + 2*x^29*y + 2*x^29*z0 + x^25*y*z0^4 - x^28*y + x^28*z0 + x^26*y*z0^2 - 2*x^26*z0^3 - x^24*y*z0^4 - 2*x^27*z0 + 2*x^25*y*z0^2 + 2*x^25*z0^3 + 2*x^23*y*z0^4 - x^26*y + 2*x^24*y*z0^2 + x^24*z0^3 + 2*x^22*y*z0^4 + 2*x^25*y - 2*x^25*z0 + x^23*y*z0^2 + x^23*z0^3 - x^24*z0 + x^22*y*z0^2 - x^22*z0^3 - 2*x^20*y*z0^4 - 2*x^23*y + 2*x^23*z0 - x^21*y*z0^2 + 2*x^19*y*z0^4 - 2*x^22*y - 2*x^22*z0 - 2*x^20*y*z0^2 - x^18*y*z0^4 - x^21*z0 - x^19*y*z0^2 + 2*x^19*z0^3 + 2*x^17*y*z0^4 + x^20*z0 + 2*x^18*y*z0^2 + 2*x^18*z0^3 + x^16*y*z0^4 - 2*x^19*y - 2*x^19*z0 + x^17*y*z0^2 + 2*x^17*z0^3 + x^15*y*z0^4 + 2*x^18*y - 2*x^18*z0 - x^16*y*z0^2 + 2*x^16*z0^3 - 2*x^14*y*z0^4 - 2*x^17*y - 2*x^17*z0 + 2*x^15*y*z0^2 - x^15*z0^3 + 2*x^13*y*z0^4 - 2*x^16*z0 - 2*x^14*y*z0^2 + x^12*y*z0^4 - x^15*y - x^15*z0 - 2*x^13*y*z0^2 - 2*x^13*z0^3 + 2*x^11*y*z0^4 - x^14*y + x^14*z0 - 2*x^12*y*z0^2 + 2*x^12*z0^3 + 2*x^10*y*z0^4 + 2*x^13*y - 2*x^13*z0 - x^11*y*z0^2 - x^11*z0^3 + x^10*y*z0^2 - 2*x^10*z0^3 - 2*x^8*y*z0^4 - 2*x^11*y + 2*x^11*z0 - 2*x^9*y*z0^2 + 2*x^9*z0^3 - 2*x^7*y*z0^4 + x^10*y + x^10*z0 + x^8*y*z0^2 + x^6*y*z0^4 - 2*x^9*y - 2*x^9*z0 + x^7*y*z0^2 - x^7*z0^3 + x^8*y + 2*x^8*z0 - x^6*z0^3 - 2*x^4*y*z0^4 - 2*x^7*y - 2*x^7*z0 + x^5*y*z0^2 - 2*x^5*z0^3 + 2*x^3*y*z0^4 - 2*x^6*y + x^6*z0 + 2*x^4*y*z0^2 - 2*x^4*z0^3 - 2*x^2*y*z0^4 + 2*x^5*y - 2*x^5*z0 - x^3*y*z0^2 - x^3*z0^3 - x^4*y - x^4*z0 + 2*x^2*y*z0^2 - x^3*y - 2*x^2*y - x^2*z0)/y) * dx,
+ ((2*x^61*z0^4 + x^60*z0^4 - 2*x^58*y^2*z0^4 - x^59*z0^4 - x^57*y^2*z0^4 - 2*x^60*z0^2 - 2*x^58*z0^4 + x^56*y^2*z0^4 + x^61 + 2*x^57*y^2*z0^2 - x^57*z0^4 - x^60 - x^58*y^2 + x^56*z0^4 + x^57*y^2 + 2*x^57*z0^2 + 2*x^55*z0^4 - x^58 + x^54*z0^4 + x^57 - x^53*z0^4 - 2*x^54*z0^2 - 2*x^52*z0^4 + x^55 - x^51*z0^4 - x^54 + x^50*z0^4 + 2*x^51*z0^2 + 2*x^49*z0^4 - x^52 + x^48*z0^4 + x^51 - x^47*z0^4 - 2*x^48*z0^2 - 2*x^46*z0^4 + x^49 - x^45*z0^4 - x^48 + x^44*z0^4 + 2*x^45*z0^2 + 2*x^43*z0^4 - x^46 + x^42*z0^4 + x^45 - x^41*z0^4 - 2*x^42*z0^2 + x^40*y*z0^3 + x^43 + 2*x^39*z0^4 - x^42 - 2*x^38*y*z0^3 - 2*x^39*y*z0 + 2*x^39*z0^2 - x^37*y*z0^3 + x^37*z0^4 + x^40 - x^38*y*z0 + x^36*z0^4 - x^39 + 2*x^37*y*z0 - 2*x^37*z0^2 + 2*x^35*y*z0^3 - 2*x^35*z0^4 - 2*x^38 - 2*x^36*z0^2 + x^34*y^2*z0^2 - 2*x^34*y*z0^3 - x^37 + 2*x^35*y*z0 - x^35*z0^2 - 2*x^33*y*z0^3 + 2*x^36 - 2*x^34*y*z0 - 2*x^34*z0^2 - x^32*z0^4 - x^35 + x^33*y*z0 + x^33*z0^2 - 2*x^31*y*z0^3 - 2*x^31*z0^4 - x^32*y*z0 - 2*x^32*z0^2 + 2*x^30*y*z0^3 - 2*x^30*z0^4 + 2*x^31*y*z0 - 2*x^29*y*z0^3 + x^29*z0^4 - 2*x^32 - 2*x^30*y*z0 - x^30*z0^2 - x^28*y*z0^3 - x^28*z0^4 - x^31 - x^29*z0^2 - 2*x^27*y*z0^3 + x^30 + x^28*y*z0 + 2*x^28*z0^2 + x^26*z0^4 - x^29 - 2*x^27*y*z0 + x^27*z0^2 + 2*x^25*z0^4 + 2*x^26*y*z0 - x^26*z0^2 + x^24*y*z0^3 - x^24*z0^4 + 2*x^25*y*z0 + 2*x^25*z0^2 + x^23*y*z0^3 - x^26 - x^24*y*z0 + 2*x^24*z0^2 - 2*x^22*y*z0^3 - 2*x^25 - 2*x^23*y*z0 - x^23*z0^2 + x^21*y*z0^3 - x^21*z0^4 - x^24 + 2*x^20*y*z0^3 - x^23 - x^21*y*z0 + 2*x^21*z0^2 - x^22 - 2*x^20*y*z0 + 2*x^20*z0^2 - 2*x^18*z0^4 - x^21 + 2*x^19*y*z0 - x^19*z0^2 + 2*x^17*y*z0^3 - 2*x^17*z0^4 - 2*x^20 - 2*x^18*y*z0 + x^18*z0^2 - 2*x^16*y*z0^3 + 2*x^16*z0^4 - 2*x^19 - x^17*y*z0 - x^17*z0^2 - 2*x^15*y*z0^3 - x^15*z0^4 + x^16*y*z0 + 2*x^16*z0^2 + 2*x^14*y*z0^3 + 2*x^14*z0^4 - x^17 - x^15*y*z0 + x^15*z0^2 - 2*x^13*y*z0^3 + x^13*z0^4 - 2*x^16 + 2*x^14*z0^2 - 2*x^12*z0^4 + 2*x^15 + x^13*y*z0 - x^11*y*z0^3 - 2*x^11*z0^4 - x^14 + x^12*y*z0 + 2*x^12*z0^2 + 2*x^10*y*z0^3 - 2*x^10*z0^4 - x^11*y*z0 + x^11*z0^2 - 2*x^9*y*z0^3 + 2*x^10*y*z0 - x^10*z0^2 - x^8*y*z0^3 + 2*x^11 + 2*x^9*y*z0 - x^9*z0^2 - 2*x^7*y*z0^3 - 2*x^10 - x^8*z0^2 + 2*x^6*y*z0^3 - 2*x^7*y*z0 - x^7*z0^2 + 2*x^6*y*z0 + 2*x^6*z0^2 + 2*x^4*y*z0^3 - x^4*z0^4 + x^7 - 2*x^5*y*z0 + x^5*z0^2 - x^3*y*z0^3 + x^6 - 2*x^4*y*z0 - x^4*z0^2 + x^2*y*z0^3 - x^2*z0^4 + x^5 - 2*x^3*z0^2 - x^2)/y) * dx,
+ ((2*x^61*z0^3 - 2*x^58*y^2*z0^3 + 2*x^61*z0 + x^59*z0^3 - x^60*z0 - 2*x^58*y^2*z0 + x^58*z0^3 - x^56*y^2*z0^3 - x^59*z0 + x^57*y^2*z0 + x^57*z0^3 + 2*x^55*y^2*z0^3 - 2*x^58*z0 + x^56*y^2*z0 - x^56*z0^3 - x^54*y^2*z0^3 + x^57*z0 - x^55*z0^3 + x^56*z0 - x^54*z0^3 + 2*x^55*z0 + x^53*z0^3 - x^54*z0 + x^52*z0^3 - x^53*z0 + x^51*z0^3 - 2*x^52*z0 - x^50*z0^3 + x^51*z0 - x^49*z0^3 + x^50*z0 - x^48*z0^3 + 2*x^49*z0 + x^47*z0^3 - x^48*z0 + x^46*z0^3 - x^47*z0 + x^45*z0^3 - 2*x^46*z0 - x^44*z0^3 + x^45*z0 - x^43*z0^3 + x^44*z0 - x^42*z0^3 + 2*x^43*z0 - 2*x^41*z0^3 + 2*x^39*y*z0^4 - x^42*z0 + x^40*y*z0^2 + x^40*z0^3 + x^41*z0 + 2*x^39*y*z0^2 - x^37*y*z0^4 + x^40*y + 2*x^40*z0 - x^38*y*z0^2 - x^38*z0^3 - 2*x^36*y*z0^4 + 2*x^39*y + 2*x^39*z0 - 2*x^37*y*z0^2 - 2*x^37*z0^3 + 2*x^35*y*z0^4 + 2*x^38*y - x^38*z0 - x^36*y*z0^2 - 2*x^36*z0^3 + x^34*y^2*z0^3 - 2*x^34*y*z0^4 + 2*x^37*y + x^37*z0 + 2*x^35*z0^3 - 2*x^36*y + 2*x^32*y*z0^4 - 2*x^35*z0 + 2*x^33*y*z0^2 - x^33*z0^3 - x^31*y*z0^4 - 2*x^34*y + 2*x^34*z0 - x^32*z0^3 + x^30*y*z0^4 - x^33*y - 2*x^33*z0 - 2*x^31*y*z0^2 + x^31*z0^3 - x^32*y + x^32*z0 - 2*x^30*y*z0^2 - x^30*z0^3 - x^28*y*z0^4 + 2*x^31*y + 2*x^31*z0 + 2*x^29*y*z0^2 - x^29*z0^3 - 2*x^27*y*z0^4 - 2*x^30*y + x^30*z0 - x^28*y*z0^2 - x^28*z0^3 - x^26*y*z0^4 - 2*x^29*y + 2*x^29*z0 + 2*x^27*y*z0^2 + 2*x^27*z0^3 - 2*x^25*y*z0^4 + x^28*z0 - x^27*y - 2*x^25*y*z0^2 - x^25*z0^3 + x^23*y*z0^4 - x^26*y - 2*x^26*z0 + x^24*y*z0^2 + x^24*z0^3 - 2*x^25*z0 + x^23*z0^3 - 2*x^21*y*z0^4 - x^24*y + x^24*z0 + 2*x^22*y*z0^2 + x^22*z0^3 - 2*x^20*y*z0^4 + 2*x^23*z0 - 2*x^21*y*z0^2 - 2*x^19*y*z0^4 + x^22*y + 2*x^22*z0 - 2*x^20*y*z0^2 + x^20*z0^3 + x^18*y*z0^4 - x^21*y - 2*x^19*z0^3 + 2*x^17*y*z0^4 - x^20*z0 + x^18*y*z0^2 - 2*x^16*y*z0^4 + 2*x^19*y - x^17*y*z0^2 + 2*x^18*y + 2*x^18*z0 + 2*x^16*y*z0^2 + x^16*z0^3 + 2*x^14*y*z0^4 - x^17*y + 2*x^15*y*z0^2 - x^15*z0^3 + x^14*y*z0^2 - 2*x^14*z0^3 + 2*x^12*y*z0^4 - 2*x^15*y + x^15*z0 - 2*x^11*y*z0^4 + x^14*y - x^14*z0 - x^12*y*z0^2 - x^12*z0^3 + x^10*y*z0^4 - 2*x^13*y - x^13*z0 - 2*x^11*y*z0^2 + 2*x^11*z0^3 - x^9*y*z0^4 + 2*x^12*y - 2*x^12*z0 + x^10*y*z0^2 + x^8*y*z0^4 + 2*x^11*y + x^11*z0 - x^9*y*z0^2 + x^9*z0^3 + 2*x^7*y*z0^4 - 2*x^10*y - 2*x^10*z0 + 2*x^8*y*z0^2 + x^8*z0^3 - x^9*y + x^7*y*z0^2 + x^7*z0^3 + 2*x^5*y*z0^4 - 2*x^8*y - x^6*y*z0^2 - 2*x^6*z0^3 + x^7*y - 2*x^5*y*z0^2 + x^5*z0^3 - 2*x^3*y*z0^4 + x^6*z0 - x^4*y*z0^2 - x^4*z0^3 - 2*x^2*y*z0^4 - 2*x^5*y - x^5*z0 + 2*x^3*z0^3 - 2*x^4*y + 2*x^2*y*z0^2 + 2*x^2*z0^3 - x^2*y)/y) * dx,
+ ((2*x^60*z0^4 - x^61*z0^2 - x^59*z0^4 - 2*x^57*y^2*z0^4 + x^60*z0^2 + x^58*y^2*z0^2 + x^56*y^2*z0^4 - x^61 - x^57*y^2*z0^2 - 2*x^57*z0^4 - x^60 + x^58*y^2 + x^58*z0^2 + x^56*z0^4 + x^57*y^2 - x^57*z0^2 + x^58 + 2*x^54*z0^4 + x^57 - x^55*z0^2 - x^53*z0^4 + x^54*z0^2 - x^55 - 2*x^51*z0^4 - x^54 + x^52*z0^2 + x^50*z0^4 - x^51*z0^2 + x^52 + 2*x^48*z0^4 + x^51 - x^49*z0^2 - x^47*z0^4 + x^48*z0^2 - x^49 - 2*x^45*z0^4 - x^48 + x^46*z0^2 + x^44*z0^4 - x^45*z0^2 + x^46 + 2*x^42*z0^4 + x^45 - x^43*z0^2 + x^41*z0^4 + x^42*z0^2 + x^40*z0^4 - x^43 - x^41*z0^2 - x^39*y*z0^3 - x^42 + 2*x^40*y*z0 - 2*x^40*z0^2 - x^38*z0^4 + 2*x^41 - x^40 - 2*x^38*y*z0 - 2*x^38*z0^2 + 2*x^36*y*z0^3 - 2*x^36*z0^4 + x^34*y^2*z0^4 + x^37*y*z0 - x^37*z0^2 - x^35*y*z0^3 - x^35*z0^4 + 2*x^38 - x^36*y*z0 + x^34*y*z0^3 + 2*x^34*z0^4 + x^35*y*z0 - x^35*z0^2 - x^33*z0^4 + 2*x^36 + x^34*y*z0 - 2*x^34*z0^2 - 2*x^32*y*z0^3 - x^32*z0^4 - 2*x^33*y*z0 - x^33*z0^2 + 2*x^31*y*z0^3 + x^31*z0^4 - 2*x^34 - 2*x^32*y*z0 + x^32*z0^2 - 2*x^30*y*z0^3 + x^30*z0^4 - x^33 + x^31*y*z0 + 2*x^31*z0^2 + x^29*y*z0^3 - x^29*z0^4 - x^30*y*z0 + x^30*z0^2 + x^28*y*z0^3 - x^28*z0^4 + 2*x^31 - 2*x^29*y*z0 + x^29*z0^2 + x^27*y*z0^3 - 2*x^30 - x^28*y*z0 - x^26*y*z0^3 + 2*x^27*y*z0 - 2*x^27*z0^2 - 2*x^25*z0^4 - x^26*y*z0 + x^26*z0^2 + 2*x^24*y*z0^3 + x^24*z0^4 - x^27 + x^25*y*z0 - x^25*z0^2 + x^23*y*z0^3 + x^23*z0^4 + x^24*y*z0 - x^24*z0^2 + 2*x^22*y*z0^3 + 2*x^22*z0^4 + 2*x^23*y*z0 - x^23*z0^2 + x^21*z0^4 + 2*x^24 - x^22*y*z0 + x^20*y*z0^3 + x^20*z0^4 + x^23 - x^21*y*z0 + x^21*z0^2 + 2*x^19*y*z0^3 - x^19*z0^4 + 2*x^22 + x^20*z0^2 - x^18*y*z0^3 - x^19*y*z0 - 2*x^17*y*z0^3 + 2*x^17*z0^4 - x^20 - 2*x^18*y*z0 - 2*x^16*y*z0^3 - x^16*z0^4 + x^19 + x^17*z0^2 - x^15*z0^4 - 2*x^18 + 2*x^16*y*z0 - x^14*y*z0^3 - x^14*z0^4 - x^17 + x^15*y*z0 - 2*x^15*z0^2 - x^13*y*z0^3 + 2*x^13*z0^4 + x^14*y*z0 - 2*x^12*y*z0^3 - x^12*z0^4 + x^15 - x^13*y*z0 - x^13*z0^2 - x^11*y*z0^3 + x^11*z0^4 + x^14 - x^12*z0^2 - 2*x^10*z0^4 + 2*x^13 + x^11*y*z0 + 2*x^9*y*z0^3 + 2*x^9*z0^4 + 2*x^12 + x^10*y*z0 - 2*x^10*z0^2 - 2*x^8*y*z0^3 - x^8*z0^4 - x^11 + x^9*y*z0 - x^7*y*z0^3 + 2*x^10 - x^8*z0^2 - 2*x^6*y*z0^3 + 2*x^6*z0^4 + 2*x^9 + x^7*y*z0 - x^7*z0^2 + 2*x^5*y*z0^3 - 2*x^5*z0^4 - x^8 - x^6*y*z0 - 2*x^4*y*z0^3 + x^4*z0^4 + x^7 - 2*x^5*y*z0 + x^5*z0^2 - x^3*z0^4 + 2*x^6 + 2*x^4*y*z0 + x^4*z0^2 - x^2*y*z0^3 - 2*x^2*z0^4 - x^5 - 2*x^3*y*z0 - x^3*z0^2 - x^2*y*z0 + 2*x^2*z0^2 + 2*x^3)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^61*z0^4 - x^60*z0^4 + x^58*y^2*z0^4 + 2*x^61*z0^2 + x^57*y^2*z0^4 - 2*x^60*z0^2 - 2*x^58*y^2*z0^2 + x^58*z0^4 - x^61 + 2*x^57*y^2*z0^2 + x^57*z0^4 + 2*x^60 + x^58*y^2 - 2*x^58*z0^2 - 2*x^57*y^2 + 2*x^57*z0^2 - x^55*z0^4 + x^58 - x^54*z0^4 - 2*x^57 + 2*x^55*z0^2 - 2*x^54*z0^2 + x^52*z0^4 - x^55 + x^51*z0^4 + 2*x^54 - 2*x^52*z0^2 + 2*x^51*z0^2 - x^49*z0^4 + x^52 - x^48*z0^4 - 2*x^51 + 2*x^49*z0^2 - 2*x^48*z0^2 + x^46*z0^4 - x^49 + x^45*z0^4 + 2*x^48 - 2*x^46*z0^2 + 2*x^45*z0^2 - x^43*z0^4 + x^46 - x^42*z0^4 - 2*x^45 + 2*x^43*z0^2 + x^41*z0^4 - 2*x^42*z0^2 + 2*x^40*y*z0^3 + 2*x^40*z0^4 - x^43 + 2*x^41*z0^2 + 2*x^39*y*z0^3 + 2*x^39*z0^4 + 2*x^42 + x^40*y*z0 - x^40*z0^2 + 2*x^38*z0^4 + x^41 - x^39*y*z0 + x^37*y*z0^3 - x^37*z0^4 + 2*x^40 - 2*x^38*y*z0 - x^38*z0^2 + x^36*y*z0^3 + x^36*z0^4 - x^39 - 2*x^37*y*z0 - 2*x^37*z0^2 - 2*x^35*y*z0^3 - 2*x^35*z0^4 + x^38 - x^36*y*z0 - 2*x^34*y*z0^3 - 2*x^37 + x^35*y^2 - 2*x^35*y*z0 + 2*x^35*z0^2 - x^33*y*z0^3 - 2*x^33*z0^4 + 2*x^36 - x^34*y*z0 + 2*x^34*z0^2 + x^32*y*z0^3 - 2*x^32*z0^4 - 2*x^33*y*z0 + 2*x^31*z0^4 + x^34 - x^32*y*z0 - x^32*z0^2 - 2*x^30*y*z0^3 - x^30*z0^4 + x^33 + x^31*y*z0 + 2*x^31*z0^2 + 2*x^29*y*z0^3 - x^29*z0^4 + 2*x^32 + x^30*y*z0 - x^28*y*z0^3 - 2*x^28*z0^4 - x^31 - x^29*y*z0 + x^27*y*z0^3 + x^27*z0^4 - 2*x^28*z0^2 + 2*x^26*y*z0^3 + x^26*z0^4 + 2*x^27*y*z0 - x^25*y*z0^3 + 2*x^28 - 2*x^26*y*z0 + 2*x^26*z0^2 + x^24*y*z0^3 + 2*x^24*z0^4 - 2*x^27 + x^25*y*z0 - x^25*z0^2 - 2*x^23*z0^4 + 2*x^26 + 2*x^24*y*z0 + x^24*z0^2 - x^22*y*z0^3 - x^25 + 2*x^23*y*z0 - x^23*z0^2 + 2*x^21*y*z0^3 - x^24 + 2*x^22*y*z0 + x^22*z0^2 + x^20*y*z0^3 - x^23 + 2*x^21*y*z0 + x^21*z0^2 - x^19*y*z0^3 - 2*x^22 - 2*x^20*y*z0 + 2*x^18*y*z0^3 - x^21 - 2*x^19*y*z0 - 2*x^19*z0^2 - x^17*y*z0^3 + x^17*z0^4 + 2*x^20 + x^18*y*z0 + 2*x^18*z0^2 + 2*x^16*y*z0^3 - 2*x^16*z0^4 + x^19 + x^17*y*z0 - x^17*z0^2 - 2*x^15*y*z0^3 + 2*x^15*z0^4 + 2*x^18 + 2*x^16*y*z0 - 2*x^16*z0^2 - x^17 + 2*x^15*y*z0 + x^15*z0^2 - 2*x^13*y*z0^3 + 2*x^16 - x^14*y*z0 - x^14*z0^2 - 2*x^12*y*z0^3 + 2*x^12*z0^4 + 2*x^15 + x^13*y*z0 - 2*x^13*z0^2 - 2*x^11*y*z0^3 - 2*x^11*z0^4 - x^12*y*z0 - 2*x^12*z0^2 - x^10*y*z0^3 - 2*x^10*z0^4 + x^13 + x^11*y*z0 + 2*x^11*z0^2 + x^9*y*z0^3 - x^9*z0^4 + x^10*y*z0 + 2*x^10*z0^2 + 2*x^8*z0^4 - 2*x^11 + x^9*y*z0 + 2*x^9*z0^2 - 2*x^7*y*z0^3 + x^7*z0^4 + 2*x^10 + x^8*y*z0 + x^8*z0^2 + x^6*y*z0^3 + 2*x^7*y*z0 + 2*x^5*y*z0^3 - 2*x^8 - 2*x^6*y*z0 + 2*x^6*z0^2 + 2*x^4*y*z0^3 + 2*x^4*z0^4 - x^7 - x^5*y*z0 - x^5*z0^2 + 2*x^3*y*z0^3 - 2*x^3*z0^4 - 2*x^6 + x^4*y*z0 + x^4*z0^2 + 2*x^2*z0^4 - x^3*y*z0 + x^3*z0^2 - x^2*y*z0 - 2*x^2*z0^2 - 2*x^3)/y) * dx,
+ ((-x^61*z0^3 - 2*x^60*z0^3 + x^58*y^2*z0^3 + 2*x^61*z0 + x^59*z0^3 + 2*x^57*y^2*z0^3 + 2*x^60*z0 - 2*x^58*y^2*z0 + 2*x^58*z0^3 - x^56*y^2*z0^3 - x^59*z0 - 2*x^57*y^2*z0 + 2*x^57*z0^3 - x^55*y^2*z0^3 - 2*x^58*z0 + x^56*y^2*z0 - x^56*z0^3 - 2*x^57*z0 - 2*x^55*z0^3 + x^56*z0 - 2*x^54*z0^3 + 2*x^55*z0 + x^53*z0^3 + 2*x^54*z0 + 2*x^52*z0^3 - x^53*z0 + 2*x^51*z0^3 - 2*x^52*z0 - x^50*z0^3 - 2*x^51*z0 - 2*x^49*z0^3 + x^50*z0 - 2*x^48*z0^3 + 2*x^49*z0 + x^47*z0^3 + 2*x^48*z0 + 2*x^46*z0^3 - x^47*z0 + 2*x^45*z0^3 - 2*x^46*z0 - x^44*z0^3 - 2*x^45*z0 - 2*x^43*z0^3 + x^44*z0 - 2*x^42*z0^3 + 2*x^43*z0 - x^39*y*z0^4 + 2*x^42*z0 + 2*x^40*y*z0^2 - 2*x^40*z0^3 + x^41*z0 + 2*x^39*y*z0^2 - x^39*z0^3 + x^37*y*z0^4 + x^40*y + x^40*z0 + x^38*y*z0^2 - 2*x^38*z0^3 - x^36*y*z0^4 - 2*x^39*y - x^39*z0 + x^37*y*z0^2 - 2*x^37*z0^3 - 2*x^38*y - 2*x^38*z0 - x^36*y*z0^2 - x^36*z0^3 + 2*x^34*y*z0^4 + 2*x^37*y + x^37*z0 + x^35*y^2*z0 - 2*x^36*y - 2*x^36*z0 - 2*x^34*y*z0^2 + 2*x^34*z0^3 - 2*x^32*y*z0^4 + x^35*y + x^33*z0^3 + x^31*y*z0^4 + x^34*y - 2*x^34*z0 - x^32*y*z0^2 + x^32*z0^3 - 2*x^33*y - x^33*z0 - x^31*y*z0^2 + 2*x^31*z0^3 - x^29*y*z0^4 + 2*x^32*z0 - 2*x^30*y*z0^2 + 2*x^30*z0^3 - 2*x^31*y - x^31*z0 - 2*x^29*y*z0^2 - x^29*z0^3 + 2*x^27*y*z0^4 - x^30*z0 + 2*x^28*y*z0^2 + 2*x^28*z0^3 + x^26*y*z0^4 + 2*x^29*y - 2*x^29*z0 + 2*x^27*y*z0^2 + x^25*y*z0^4 - x^28*y - 2*x^28*z0 - x^26*y*z0^2 - 2*x^24*y*z0^4 + x^27*y - 2*x^27*z0 + x^25*y*z0^2 - x^23*y*z0^4 + x^26*y + 2*x^26*z0 + 2*x^24*y*z0^2 + x^22*y*z0^4 - x^21*y*z0^4 - x^24*y - 2*x^24*z0 + 2*x^22*z0^3 + 2*x^20*y*z0^4 - x^23*y - x^21*y*z0^2 - 2*x^21*z0^3 - x^19*y*z0^4 + x^22*y + 2*x^22*z0 + 2*x^20*y*z0^2 + x^20*z0^3 - 2*x^18*y*z0^4 - x^21*y + 2*x^21*z0 - x^19*y*z0^2 + x^19*z0^3 + x^17*y*z0^4 - x^20*y - 2*x^20*z0 - x^18*y*z0^2 - 2*x^16*y*z0^4 + x^19*y - 2*x^19*z0 + 2*x^17*y*z0^2 + x^17*z0^3 + x^15*y*z0^4 + x^18*y + x^18*z0 - 2*x^16*y*z0^2 - x^16*z0^3 - x^14*y*z0^4 + x^17*y - 2*x^17*z0 - 2*x^15*y*z0^2 - 2*x^15*z0^3 - 2*x^16*y + x^16*z0 + 2*x^14*y*z0^2 + x^14*z0^3 + x^12*y*z0^4 - 2*x^15*z0 - x^13*y*z0^2 + 2*x^13*z0^3 + 2*x^11*y*z0^4 - 2*x^14*y + 2*x^14*z0 - x^12*z0^3 - x^10*y*z0^4 - 2*x^11*y*z0^2 - x^12*y - 2*x^12*z0 + x^10*y*z0^2 - x^10*z0^3 - 2*x^8*y*z0^4 + 2*x^11*y + x^9*y*z0^2 + x^9*z0^3 + 2*x^7*y*z0^4 - 2*x^10*z0 + x^8*y*z0^2 + x^8*z0^3 - 2*x^6*y*z0^4 - 2*x^9*y + x^9*z0 - 2*x^7*y*z0^2 + 2*x^7*z0^3 + 2*x^5*y*z0^4 + x^8*y + x^8*z0 - 2*x^6*y*z0^2 - x^6*z0^3 + 2*x^7*y + 2*x^7*z0 - 2*x^5*z0^3 + 2*x^3*y*z0^4 - x^6*y + x^6*z0 - 2*x^4*y*z0^2 - x^2*y*z0^4 - x^5*y + x^5*z0 + x^3*y*z0^2 - 2*x^3*z0^3 + x^4*y - 2*x^4*z0 - x^2*y*z0^2 - x^2*z0^3 - 2*x^3*y + x^3*z0 + x^2*y + 2*x^2*z0)/y) * dx,
+ ((x^61*z0^2 - 2*x^59*z0^4 - x^58*y^2*z0^2 + 2*x^56*y^2*z0^4 + 2*x^60 - x^58*z0^2 + 2*x^56*z0^4 - 2*x^57*y^2 - 2*x^57 + x^55*z0^2 - 2*x^53*z0^4 + 2*x^54 - x^52*z0^2 + 2*x^50*z0^4 - 2*x^51 + x^49*z0^2 - 2*x^47*z0^4 + 2*x^48 - x^46*z0^2 + 2*x^44*z0^4 - 2*x^45 + x^43*z0^2 - 2*x^41*z0^4 + x^40*z0^4 + x^41*z0^2 + x^39*y*z0^3 + 2*x^42 - 2*x^40*y*z0 - 2*x^40*z0^2 + x^38*y*z0^3 - x^39*z0^2 - 2*x^37*z0^4 - 2*x^40 + x^38*z0^2 - 2*x^36*y*z0^3 + 2*x^36*z0^4 + x^37*y*z0 + x^37*z0^2 + x^35*y^2*z0^2 - 2*x^35*y*z0^3 + x^35*z0^4 + x^38 + x^36*y*z0 + x^36*z0^2 - x^37 + x^35*z0^2 - x^33*y*z0^3 + 2*x^33*z0^4 - x^36 - x^34*y*z0 - 2*x^34*z0^2 - 2*x^32*y*z0^3 - 2*x^32*z0^4 - x^35 + x^33*y*z0 - x^33*z0^2 - 2*x^31*y*z0^3 - x^31*z0^4 - 2*x^32*y*z0 + 2*x^32*z0^2 - 2*x^30*y*z0^3 - x^31*y*z0 + x^31*z0^2 + 2*x^29*y*z0^3 - 2*x^29*z0^4 + 2*x^32 + x^30*z0^2 + 2*x^28*y*z0^3 + 2*x^28*z0^4 + 2*x^31 + 2*x^27*y*z0^3 - x^27*z0^4 - x^28*z0^2 + 2*x^26*y*z0^3 + 2*x^26*z0^4 + 2*x^29 + x^27*y*z0 + 2*x^27*z0^2 + 2*x^25*z0^4 + x^28 + 2*x^26*y*z0 + x^26*z0^2 + x^24*z0^4 - 2*x^27 - x^25*y*z0 - 2*x^25*z0^2 + 2*x^23*y*z0^3 - x^23*z0^4 - 2*x^26 + 2*x^24*y*z0 + x^24*z0^2 + x^22*y*z0^3 - 2*x^25 + 2*x^23*z0^2 + x^21*y*z0^3 + x^24 + 2*x^22*y*z0 + 2*x^20*y*z0^3 + 2*x^23 + 2*x^21*y*z0 - x^21*z0^2 - 2*x^19*z0^4 - 2*x^22 - x^20*y*z0 + x^20*z0^2 + 2*x^18*y*z0^3 - 2*x^18*z0^4 - 2*x^21 - 2*x^19*y*z0 + 2*x^19*z0^2 - 2*x^17*y*z0^3 - 2*x^17*z0^4 + 2*x^20 - x^18*y*z0 + 2*x^18*z0^2 + 2*x^16*y*z0^3 - 2*x^16*z0^4 - 2*x^19 + 2*x^17*y*z0 + 2*x^17*z0^2 - x^15*y*z0^3 + x^15*z0^4 - 2*x^18 - x^16*y*z0 + 2*x^16*z0^2 + x^14*z0^4 + x^17 + 2*x^15*y*z0 - 2*x^13*z0^4 + 2*x^16 + 2*x^14*y*z0 + 2*x^14*z0^2 + 2*x^12*y*z0^3 - x^13*y*z0 + x^13*z0^2 - 2*x^11*y*z0^3 - 2*x^11*z0^4 + 2*x^12*y*z0 - x^12*z0^2 + 2*x^10*y*z0^3 + x^10*z0^4 + 2*x^13 + 2*x^11*y*z0 - x^11*z0^2 - 2*x^9*y*z0^3 - 2*x^9*z0^4 + 2*x^10*z0^2 - 2*x^8*y*z0^3 - x^8*z0^4 + x^11 + x^9*y*z0 - x^7*y*z0^3 + x^7*z0^4 - 2*x^10 + 2*x^8*z0^2 + 2*x^7*y*z0 + x^7*z0^2 - 2*x^5*y*z0^3 - x^5*z0^4 + x^8 - 2*x^6*y*z0 - x^6*z0^2 + x^4*y*z0^3 - 2*x^4*z0^4 + 2*x^7 + 2*x^5*y*z0 - 2*x^5*z0^2 + 2*x^3*y*z0^3 + x^4*y*z0 - x^2*y*z0^3 + 2*x^2*z0^4 - x^5 + 2*x^3*y*z0 - x^3*z0^2 - x^2*y*z0 - 2*x^2)/y) * dx,
+ ((-2*x^61*z0^3 + 2*x^58*y^2*z0^3 - x^60*z0 - 2*x^58*z0^3 - 2*x^59*z0 + x^57*y^2*z0 + 2*x^57*z0^3 - x^55*y^2*z0^3 + 2*x^56*y^2*z0 - 2*x^54*y^2*z0^3 + x^57*z0 + 2*x^55*z0^3 + 2*x^56*z0 - 2*x^54*z0^3 - x^54*z0 - 2*x^52*z0^3 - 2*x^53*z0 + 2*x^51*z0^3 + x^51*z0 + 2*x^49*z0^3 + 2*x^50*z0 - 2*x^48*z0^3 - x^48*z0 - 2*x^46*z0^3 - 2*x^47*z0 + 2*x^45*z0^3 + x^45*z0 + 2*x^43*z0^3 + 2*x^44*z0 - 2*x^42*z0^3 - 2*x^41*z0^3 - 2*x^39*y*z0^4 - x^42*z0 - x^40*y*z0^2 - x^40*z0^3 + 2*x^38*y*z0^4 - 2*x^41*z0 + 2*x^39*z0^3 + x^37*y*z0^4 - 2*x^40*z0 + 2*x^38*y*z0^2 - x^36*y*z0^4 - 2*x^39*y + 2*x^39*z0 + 2*x^37*y*z0^2 + x^37*z0^3 + x^35*y^2*z0^3 + 2*x^35*y*z0^4 - 2*x^38*y + x^36*y*z0^2 - 2*x^36*z0^3 - 2*x^34*y*z0^4 + 2*x^35*y*z0^2 + 2*x^35*z0^3 - x^33*y*z0^4 - 2*x^36*y + 2*x^36*z0 + x^34*y*z0^2 - x^34*z0^3 - 2*x^32*y*z0^4 - x^35*z0 + 2*x^33*y*z0^2 - 2*x^33*z0^3 + x^31*y*z0^4 + x^34*y + 2*x^32*y*z0^2 + x^32*z0^3 + 2*x^30*y*z0^4 - 2*x^33*y + 2*x^33*z0 - 2*x^31*y*z0^2 - x^29*y*z0^4 + x^32*z0 + 2*x^30*z0^3 + x^31*y - 2*x^29*z0^3 + 2*x^27*y*z0^4 - 2*x^28*z0^3 + 2*x^26*y*z0^4 - x^29*z0 - x^27*y*z0^2 - x^27*z0^3 + 2*x^25*y*z0^4 + 2*x^28*z0 - x^26*y*z0^2 - x^26*z0^3 + x^24*y*z0^4 + x^27*y + 2*x^27*z0 - 2*x^25*y*z0^2 + x^25*z0^3 + 2*x^23*y*z0^4 + 2*x^26*y - x^26*z0 - x^24*y*z0^2 - x^24*z0^3 + x^25*y - 2*x^25*z0 - 2*x^23*y*z0^2 - 2*x^23*z0^3 + 2*x^21*y*z0^4 + 2*x^24*z0 - x^22*y*z0^2 - x^22*z0^3 + x^20*y*z0^4 - 2*x^23*y + x^23*z0 - 2*x^21*y*z0^2 - 2*x^21*z0^3 - x^19*y*z0^4 + 2*x^22*y - 2*x^22*z0 - 2*x^20*y*z0^2 + x^20*z0^3 - 2*x^18*y*z0^4 - 2*x^21*y - x^21*z0 + 2*x^19*y*z0^2 + x^19*z0^3 + 2*x^17*y*z0^4 - 2*x^20*y + x^20*z0 + x^19*y + x^19*z0 + x^17*y*z0^2 + 2*x^17*z0^3 + 2*x^15*y*z0^4 - x^18*y - x^16*z0^3 - x^14*y*z0^4 - 2*x^17*y + x^15*y*z0^2 + 2*x^15*z0^3 + 2*x^13*y*z0^4 + x^16*y + x^14*y*z0^2 - x^14*z0^3 + 2*x^15*y - 2*x^15*z0 - 2*x^13*y*z0^2 + x^11*y*z0^4 + 2*x^14*z0 + 2*x^12*y*z0^2 - x^12*z0^3 + 2*x^10*y*z0^4 + 2*x^13*y + x^11*y*z0^2 + 2*x^11*z0^3 - 2*x^9*y*z0^4 - x^12*y + 2*x^12*z0 - x^10*y*z0^2 - 2*x^8*y*z0^4 + x^11*y - 2*x^9*y*z0^2 + x^7*y*z0^4 + x^8*y*z0^2 + 2*x^8*z0^3 - x^6*y*z0^4 - 2*x^9*z0 - x^8*y + x^8*z0 + 2*x^6*y*z0^2 + 2*x^4*y*z0^4 + x^7*z0 + x^5*y*z0^2 - 2*x^5*z0^3 + x^3*y*z0^4 + x^6*y + x^6*z0 + 2*x^4*y*z0^2 - 2*x^2*y*z0^4 - 2*x^5*y - x^3*y*z0^2 + 2*x^3*z0^3 + 2*x^4*y + 2*x^4*z0 + x^2*y*z0^2 + 2*x^3*y - x^3*z0 + x^2*y + 2*x^2*z0)/y) * dx,
+ ((-x^61*z0^4 - 2*x^60*z0^4 + x^58*y^2*z0^4 + x^61*z0^2 - x^59*z0^4 + 2*x^57*y^2*z0^4 + 2*x^60*z0^2 - x^58*y^2*z0^2 + x^58*z0^4 + x^56*y^2*z0^4 + 2*x^61 - 2*x^57*y^2*z0^2 + 2*x^57*z0^4 - 2*x^58*y^2 - x^58*z0^2 + x^56*z0^4 - 2*x^57*z0^2 - x^55*z0^4 - 2*x^58 - 2*x^54*z0^4 + x^55*z0^2 - x^53*z0^4 + 2*x^54*z0^2 + x^52*z0^4 + 2*x^55 + 2*x^51*z0^4 - x^52*z0^2 + x^50*z0^4 - 2*x^51*z0^2 - x^49*z0^4 - 2*x^52 - 2*x^48*z0^4 + x^49*z0^2 - x^47*z0^4 + 2*x^48*z0^2 + x^46*z0^4 + 2*x^49 + 2*x^45*z0^4 - x^46*z0^2 + x^44*z0^4 - 2*x^45*z0^2 - x^43*z0^4 - 2*x^46 - 2*x^42*z0^4 + x^43*z0^2 - x^41*z0^4 + 2*x^42*z0^2 + 2*x^40*y*z0^3 + x^40*z0^4 + 2*x^43 + x^41*z0^2 + x^39*y*z0^3 - x^39*z0^4 - 2*x^40*y*z0 + x^40*z0^2 - x^38*y*z0^3 - x^38*z0^4 - x^39*y*z0 + 2*x^39*z0^2 + 2*x^37*y*z0^3 - 2*x^37*z0^4 + x^35*y^2*z0^4 - 2*x^38*y*z0 + 2*x^38*z0^2 - 2*x^36*y*z0^3 - 2*x^36*z0^4 + x^39 - 2*x^37*y*z0 - 2*x^35*z0^4 - 2*x^38 - x^36*y*z0 - 2*x^36*z0^2 + 2*x^34*y*z0^3 + x^37 + 2*x^35*y*z0 - x^33*z0^4 - 2*x^36 - x^34*z0^2 - 2*x^32*y*z0^3 - 2*x^32*z0^4 + x^33*z0^2 - 2*x^31*y*z0^3 - 2*x^31*z0^4 - 2*x^34 - 2*x^32*y*z0 - x^32*z0^2 - 2*x^30*y*z0^3 - x^33 + 2*x^31*y*z0 + x^31*z0^2 - x^29*y*z0^3 - x^29*z0^4 - 2*x^32 - x^30*y*z0 - x^30*z0^2 - x^28*y*z0^3 + x^28*z0^4 - x^31 + x^29*z0^2 - 2*x^30 + x^28*y*z0 + 2*x^28*z0^2 + x^26*y*z0^3 - 2*x^26*z0^4 - 2*x^29 + 2*x^27*z0^2 + x^25*y*z0^3 + 2*x^25*z0^4 - 2*x^26*y*z0 - x^26*z0^2 - x^24*y*z0^3 - x^24*z0^4 - 2*x^27 + x^25*y*z0 - 2*x^23*y*z0^3 - x^23*z0^4 + x^26 - x^24*z0^2 - x^22*y*z0^3 + 2*x^22*z0^4 - x^25 + x^23*y*z0 - x^23*z0^2 - 2*x^21*y*z0^3 - x^21*z0^4 + x^24 - 2*x^22*y*z0 + 2*x^20*y*z0^3 + 2*x^20*z0^4 - x^23 - 2*x^21*y*z0 - x^22 - 2*x^20*y*z0 + x^20*z0^2 + x^18*z0^4 - 2*x^21 + 2*x^19*y*z0 + 2*x^19*z0^2 - x^17*y*z0^3 + 2*x^17*z0^4 - x^20 - 2*x^18*y*z0 - x^18*z0^2 - 2*x^16*y*z0^3 + 2*x^16*z0^4 - 2*x^17*y*z0 - 2*x^17*z0^2 + 2*x^15*y*z0^3 - 2*x^15*z0^4 - x^18 - x^16*z0^2 + x^14*z0^4 + x^15*y*z0 + 2*x^15*z0^2 + x^13*y*z0^3 + x^13*z0^4 + 2*x^16 - 2*x^14*y*z0 + x^14*z0^2 + 2*x^12*y*z0^3 + x^12*z0^4 + x^11*z0^4 + 2*x^14 - 2*x^12*y*z0 - 2*x^12*z0^2 - 2*x^10*z0^4 + x^13 - x^11*y*z0 + 2*x^11*z0^2 + x^9*y*z0^3 - x^9*z0^4 - 2*x^12 + x^10*y*z0 + x^10*z0^2 + 2*x^8*y*z0^3 + 2*x^8*z0^4 + x^11 + 2*x^9*z0^2 + x^7*y*z0^3 + x^10 + 2*x^8*z0^2 + x^6*y*z0^3 + 2*x^6*z0^4 - x^9 - x^7*y*z0 - 2*x^7*z0^2 + 2*x^5*y*z0^3 + x^5*z0^4 + 2*x^8 + 2*x^6*y*z0 + x^6*z0^2 + 2*x^4*y*z0^3 - x^4*z0^4 + 2*x^7 + x^5*z0^2 + x^3*y*z0^3 - x^3*z0^4 - 2*x^6 + 2*x^4*y*z0 - 2*x^2*y*z0^3 + 2*x^2*z0^4 - x^5 + 2*x^3*y*z0 - 2*x^3*z0^2 + x^2*z0^2 + x^3 + 2*x^2)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^60*z0^4 + 2*x^61*z0^2 + 2*x^59*z0^4 + x^57*y^2*z0^4 - 2*x^58*y^2*z0^2 - 2*x^56*y^2*z0^4 + 2*x^61 + x^57*z0^4 + 2*x^60 - 2*x^58*y^2 - 2*x^58*z0^2 - 2*x^56*z0^4 - 2*x^57*y^2 - 2*x^58 - x^54*z0^4 - 2*x^57 + 2*x^55*z0^2 + 2*x^53*z0^4 + 2*x^55 + x^51*z0^4 + 2*x^54 - 2*x^52*z0^2 - 2*x^50*z0^4 - 2*x^52 - x^48*z0^4 - 2*x^51 + 2*x^49*z0^2 + 2*x^47*z0^4 + 2*x^49 + x^45*z0^4 + 2*x^48 - 2*x^46*z0^2 - 2*x^44*z0^4 - 2*x^46 - x^42*z0^4 - 2*x^45 + 2*x^43*z0^2 - 2*x^41*z0^4 + 2*x^43 + 2*x^41*z0^2 + 2*x^39*y*z0^3 + 2*x^39*z0^4 + 2*x^42 + x^40*y*z0 + x^40*z0^2 - x^38*y*z0^3 + 2*x^38*z0^4 + x^41 - x^39*y*z0 - 2*x^39*z0^2 - x^37*y*z0^3 - x^40 - x^38*z0^2 + x^36*y*z0^3 + 2*x^36*z0^4 - x^37*y*z0 - x^37*z0^2 + 2*x^35*y*z0^3 + 2*x^35*z0^4 + x^38 + x^36*y^2 - 2*x^36*y*z0 + 2*x^36*z0^2 - x^37 - 2*x^35*y*z0 + x^35*z0^2 + x^33*y*z0^3 + 2*x^33*z0^4 - x^36 + 2*x^34*y*z0 + 2*x^34*z0^2 + 2*x^32*y*z0^3 + x^35 + 2*x^33*z0^2 - 2*x^31*z0^4 + x^34 + 2*x^32*z0^2 + 2*x^30*y*z0^3 + 2*x^30*z0^4 - 2*x^33 + 2*x^31*y*z0 + 2*x^31*z0^2 + x^29*y*z0^3 + x^29*z0^4 + 2*x^30*y*z0 + x^30*z0^2 - 2*x^28*y*z0^3 - 2*x^28*z0^4 - x^31 - 2*x^29*y*z0 - x^29*z0^2 + x^27*z0^4 + x^30 + 2*x^28*z0^2 - x^26*y*z0^3 + 2*x^26*z0^4 + 2*x^27*y*z0 + 2*x^27*z0^2 - x^25*z0^4 + x^28 + 2*x^26*y*z0 + x^26*z0^2 - 2*x^24*z0^4 - 2*x^25*y*z0 + x^23*y*z0^3 + 2*x^23*z0^4 + x^26 - x^24*y*z0 - x^24*z0^2 + 2*x^22*z0^4 + 2*x^23*y*z0 + x^23*z0^2 - x^21*y*z0^3 + x^21*z0^4 + 2*x^24 + 2*x^22*y*z0 - x^22*z0^2 - x^20*y*z0^3 + 2*x^20*z0^4 - x^23 - 2*x^21*y*z0 + 2*x^21*z0^2 + 2*x^19*y*z0^3 + 2*x^19*z0^4 + 2*x^22 - 2*x^20*y*z0 + 2*x^20*z0^2 - x^18*y*z0^3 - 2*x^18*z0^4 + 2*x^21 - x^19*y*z0 + 2*x^19*z0^2 - x^17*z0^4 + x^20 + 2*x^18*y*z0 + 2*x^18*z0^2 - 2*x^16*y*z0^3 - 2*x^16*z0^4 + 2*x^19 + 2*x^17*y*z0 + 2*x^15*z0^4 + 2*x^18 - x^16*z0^2 - 2*x^17 + 2*x^15*y*z0 - x^13*z0^4 + 2*x^16 - 2*x^14*y*z0 + 2*x^14*z0^2 - 2*x^12*y*z0^3 + x^12*z0^4 + 2*x^15 + 2*x^13*y*z0 - x^13*z0^2 - 2*x^11*z0^4 + 2*x^14 - 2*x^12*y*z0 + 2*x^12*z0^2 - x^10*y*z0^3 + x^10*z0^4 + x^13 + x^11*y*z0 + 2*x^11*z0^2 - x^9*z0^4 - x^12 + 2*x^8*y*z0^3 - 2*x^9*y*z0 + 2*x^9*z0^2 + 2*x^7*y*z0^3 + x^10 + x^8*y*z0 - 2*x^8*z0^2 - 2*x^6*z0^4 - x^9 + x^7*y*z0 + x^7*z0^2 - x^5*z0^4 - x^8 + x^6*y*z0 - 2*x^6*z0^2 + 2*x^4*y*z0^3 + 2*x^4*z0^4 - x^7 + 2*x^5*y*z0 + 2*x^5*z0^2 + x^3*z0^4 + x^6 + 2*x^2*y*z0^3 - 2*x^5 + 2*x^3*z0^2 - x^2*y*z0 + x^2*z0^2 + 2*x^3)/y) * dx,
+ ((x^61*z0^3 - 2*x^60*z0^3 - x^58*y^2*z0^3 + x^61*z0 + 2*x^59*z0^3 + 2*x^57*y^2*z0^3 + 2*x^60*z0 - x^58*y^2*z0 + x^58*z0^3 - 2*x^56*y^2*z0^3 - 2*x^59*z0 - 2*x^57*y^2*z0 - 2*x^57*z0^3 - 2*x^55*y^2*z0^3 - x^58*z0 + 2*x^56*y^2*z0 - 2*x^56*z0^3 - x^54*y^2*z0^3 - 2*x^57*z0 - x^55*z0^3 + 2*x^56*z0 + 2*x^54*z0^3 + x^55*z0 + 2*x^53*z0^3 + 2*x^54*z0 + x^52*z0^3 - 2*x^53*z0 - 2*x^51*z0^3 - x^52*z0 - 2*x^50*z0^3 - 2*x^51*z0 - x^49*z0^3 + 2*x^50*z0 + 2*x^48*z0^3 + x^49*z0 + 2*x^47*z0^3 + 2*x^48*z0 + x^46*z0^3 - 2*x^47*z0 - 2*x^45*z0^3 - x^46*z0 - 2*x^44*z0^3 - 2*x^45*z0 - x^43*z0^3 + 2*x^44*z0 + 2*x^42*z0^3 + x^43*z0 - 2*x^41*z0^3 + x^39*y*z0^4 + 2*x^42*z0 - 2*x^40*y*z0^2 + 2*x^40*z0^3 + x^38*y*z0^4 - x^41*z0 + x^39*y*z0^2 - x^39*z0^3 - 2*x^40*y - x^40*z0 + 2*x^38*y*z0^2 + 2*x^38*z0^3 + 2*x^36*y*z0^4 + 2*x^39*z0 + 2*x^37*y*z0^2 + x^37*z0^3 - 2*x^35*y*z0^4 + 2*x^38*z0 + x^36*y^2*z0 - x^36*y*z0^2 + 2*x^36*z0^3 + x^37*y + 2*x^37*z0 + x^35*y*z0^2 + x^35*z0^3 - x^33*y*z0^4 + x^36*y + 2*x^36*z0 - x^34*y*z0^2 + x^34*z0^3 - x^32*y*z0^4 + x^35*z0 + 2*x^33*y*z0^2 + x^33*z0^3 + 2*x^31*y*z0^4 - x^34*y + 2*x^34*z0 - 2*x^32*z0^3 + 2*x^30*y*z0^4 + 2*x^33*z0 + x^31*y*z0^2 - x^31*z0^3 - 2*x^29*y*z0^4 + 2*x^32*y - x^30*y*z0^2 - 2*x^30*z0^3 + 2*x^28*y*z0^4 + x^31*y - 2*x^31*z0 - x^30*y - 2*x^30*z0 + x^28*z0^3 - 2*x^26*y*z0^4 + x^29*z0 + x^27*y*z0^2 + x^27*z0^3 - x^25*y*z0^4 + x^28*y - x^28*z0 - x^26*y*z0^2 + 2*x^26*z0^3 - 2*x^24*y*z0^4 - 2*x^27*y + 2*x^27*z0 + x^25*y*z0^2 + 2*x^25*z0^3 - x^23*y*z0^4 - 2*x^26*y + 2*x^26*z0 - x^24*z0^3 - x^25*y - x^25*z0 - 2*x^23*y*z0^2 - x^23*z0^3 - x^21*y*z0^4 - 2*x^24*y + x^24*z0 + 2*x^22*z0^3 - x^20*y*z0^4 - x^23*y - x^23*z0 + x^21*y*z0^2 - x^21*z0^3 + 2*x^19*y*z0^4 - 2*x^22*y + x^22*z0 + 2*x^20*y*z0^2 + x^20*z0^3 + x^21*y - 2*x^21*z0 + x^19*y*z0^2 - x^19*z0^3 - 2*x^17*y*z0^4 + x^20*y + x^20*z0 + 2*x^16*y*z0^4 - 2*x^19*z0 + 2*x^17*y*z0^2 - x^17*z0^3 - x^18*y - x^18*z0 - 2*x^16*y*z0^2 + x^16*z0^3 - x^17*y + 2*x^17*z0 - x^15*y*z0^2 - 2*x^15*z0^3 - 2*x^13*y*z0^4 + x^16*z0 + x^14*y*z0^2 - x^14*z0^3 + 2*x^12*y*z0^4 + x^15*z0 - 2*x^13*y*z0^2 + 2*x^13*z0^3 + x^14*y - x^14*z0 + 2*x^12*z0^3 + 2*x^10*y*z0^4 - 2*x^13*y - x^13*z0 - 2*x^11*y*z0^2 - x^11*z0^3 + x^9*y*z0^4 + 2*x^12*y + x^12*z0 + x^10*y*z0^2 + x^8*y*z0^4 - x^11*z0 - x^9*y*z0^2 - 2*x^9*z0^3 + x^7*y*z0^4 + x^10*y - 2*x^10*z0 - 2*x^8*y*z0^2 + 2*x^8*z0^3 + 2*x^6*y*z0^4 - 2*x^9*y + 2*x^9*z0 - 2*x^7*y*z0^2 + 2*x^5*y*z0^4 + x^8*y + 2*x^8*z0 + 2*x^6*z0^3 + x^4*y*z0^4 + x^7*y + x^7*z0 + x^5*y*z0^2 + 2*x^5*z0^3 + 2*x^3*y*z0^4 - x^6*y - 2*x^4*y*z0^2 + 2*x^4*z0^3 + x^2*y*z0^4 - 2*x^5*y - x^3*z0^3 + 2*x^4*y + 2*x^4*z0 - x^2*y*z0^2 + 2*x^2*z0^3 + 2*x^3*y - 2*x^3*z0 + 2*x^2*y + x^2*z0)/y) * dx,
+ ((-2*x^61*z0^4 + x^60*z0^4 + 2*x^58*y^2*z0^4 - x^61*z0^2 + x^59*z0^4 - x^57*y^2*z0^4 + 2*x^60*z0^2 + x^58*y^2*z0^2 + 2*x^58*z0^4 - x^56*y^2*z0^4 - x^61 - 2*x^57*y^2*z0^2 - x^57*z0^4 - 2*x^60 + x^58*y^2 + x^58*z0^2 - x^56*z0^4 + 2*x^57*y^2 - 2*x^57*z0^2 - 2*x^55*z0^4 + x^58 + x^54*z0^4 + 2*x^57 - x^55*z0^2 + x^53*z0^4 + 2*x^54*z0^2 + 2*x^52*z0^4 - x^55 - x^51*z0^4 - 2*x^54 + x^52*z0^2 - x^50*z0^4 - 2*x^51*z0^2 - 2*x^49*z0^4 + x^52 + x^48*z0^4 + 2*x^51 - x^49*z0^2 + x^47*z0^4 + 2*x^48*z0^2 + 2*x^46*z0^4 - x^49 - x^45*z0^4 - 2*x^48 + x^46*z0^2 - x^44*z0^4 - 2*x^45*z0^2 - 2*x^43*z0^4 + x^46 + x^42*z0^4 + 2*x^45 - x^43*z0^2 + x^41*z0^4 + 2*x^42*z0^2 - x^40*y*z0^3 - 2*x^40*z0^4 - x^43 - x^41*z0^2 - x^39*y*z0^3 - 2*x^42 + 2*x^40*y*z0 + x^40*z0^2 - 2*x^38*y*z0^3 - 2*x^39*y*z0 - 2*x^39*z0^2 - 2*x^37*y*z0^3 - 2*x^37*z0^4 - 2*x^40 + x^38*y*z0 - 2*x^38*z0^2 + x^36*y^2*z0^2 + 2*x^36*y*z0^3 - x^39 - 2*x^37*z0^2 + 2*x^35*y*z0^3 + x^35*z0^4 + 2*x^38 - x^36*y*z0 + 2*x^36*z0^2 + 2*x^34*y*z0^3 - 2*x^37 - 2*x^35*y*z0 - x^35*z0^2 + 2*x^33*y*z0^3 + 2*x^33*z0^4 - x^36 - x^34*z0^2 + x^32*z0^4 + 2*x^33*y*z0 + x^33*z0^2 + x^31*y*z0^3 + 2*x^31*z0^4 - 2*x^34 + 2*x^32*y*z0 + x^32*z0^2 - 2*x^30*z0^4 - 2*x^33 - 2*x^31*y*z0 + 2*x^31*z0^2 + x^29*y*z0^3 + x^29*z0^4 - x^32 + x^30*y*z0 - 2*x^30*z0^2 - x^28*y*z0^3 - x^28*z0^4 + 2*x^31 + 2*x^29*y*z0 + 2*x^29*z0^2 + 2*x^27*y*z0^3 + 2*x^27*z0^4 + x^30 - x^28*y*z0 - x^28*z0^2 - 2*x^26*y*z0^3 + x^26*z0^4 - x^29 + 2*x^27*y*z0 + x^27*z0^2 - x^25*y*z0^3 + x^25*z0^4 + 2*x^26*y*z0 - x^26*z0^2 - x^24*y*z0^3 + 2*x^24*z0^4 + x^27 + x^25*z0^2 + 2*x^23*z0^4 + x^26 - x^24*y*z0 - 2*x^24*z0^2 - x^22*y*z0^3 - 2*x^22*z0^4 - x^21*z0^4 + 2*x^24 - x^22*y*z0 + x^22*z0^2 - 2*x^20*y*z0^3 - x^20*z0^4 - x^21*y*z0 - x^19*y*z0^3 + 2*x^22 - x^20*y*z0 - x^20*z0^2 + 2*x^18*y*z0^3 + 2*x^18*z0^4 + x^21 + 2*x^19*z0^2 + 2*x^17*y*z0^3 - 2*x^20 - x^18*y*z0 + 2*x^18*z0^2 - 2*x^16*y*z0^3 + x^19 - 2*x^17*y*z0 + x^17*z0^2 + 2*x^15*y*z0^3 - x^15*z0^4 - 2*x^18 - x^16*y*z0 + x^16*z0^2 - 2*x^14*z0^4 - 2*x^15*y*z0 + 2*x^15*z0^2 + x^13*y*z0^3 + x^13*z0^4 + 2*x^14*y*z0 - 2*x^14*z0^2 + 2*x^12*y*z0^3 - 2*x^12*z0^4 - x^15 + x^13*y*z0 - x^13*z0^2 + 2*x^11*y*z0^3 - 2*x^14 + x^12*y*z0 - x^12*z0^2 - 2*x^10*y*z0^3 - 2*x^10*z0^4 - 2*x^13 + 2*x^11*z0^2 - 2*x^9*y*z0^3 - x^9*z0^4 + 2*x^12 + 2*x^10*y*z0 + x^8*y*z0^3 + x^8*z0^4 + 2*x^11 - 2*x^9*z0^2 + x^7*y*z0^3 + 2*x^7*z0^4 + x^10 + 2*x^8*y*z0 - x^8*z0^2 + 2*x^6*y*z0^3 - x^9 + 2*x^7*y*z0 + x^7*z0^2 - 2*x^5*y*z0^3 + 2*x^5*z0^4 - x^8 + x^6*y*z0 + x^4*y*z0^3 + 2*x^4*z0^4 - 2*x^7 - 2*x^5*y*z0 + x^5*z0^2 + x^3*y*z0^3 + x^3*z0^4 + x^6 + x^4*z0^2 + x^2*y*z0^3 - x^2*z0^4 + x^5 - x^3*y*z0 + 2*x^3*z0^2 - x^2*y*z0 - x^2*z0^2 - x^3 + 2*x^2)/y) * dx,
+ ((2*x^61*z0^3 + 2*x^60*z0^3 - 2*x^58*y^2*z0^3 + 2*x^59*z0^3 - 2*x^57*y^2*z0^3 + x^60*z0 - 2*x^56*y^2*z0^3 + 2*x^59*z0 - x^57*y^2*z0 - 2*x^57*z0^3 - 2*x^55*y^2*z0^3 - 2*x^56*y^2*z0 - 2*x^56*z0^3 - x^57*z0 - 2*x^56*z0 + 2*x^54*z0^3 + 2*x^53*z0^3 + x^54*z0 + 2*x^53*z0 - 2*x^51*z0^3 - 2*x^50*z0^3 - x^51*z0 - 2*x^50*z0 + 2*x^48*z0^3 + 2*x^47*z0^3 + x^48*z0 + 2*x^47*z0 - 2*x^45*z0^3 - 2*x^44*z0^3 - x^45*z0 - 2*x^44*z0 + 2*x^42*z0^3 - x^41*z0^3 + 2*x^39*y*z0^4 + x^42*z0 + x^40*y*z0^2 - 2*x^40*z0^3 + 2*x^38*y*z0^4 + 2*x^41*z0 + x^39*z0^3 + 2*x^37*y*z0^4 - x^40*z0 - 2*x^38*y*z0^2 - x^38*z0^3 + x^36*y^2*z0^3 - 2*x^39*y - 2*x^39*z0 + x^37*y*z0^2 + 2*x^37*z0^3 + 2*x^35*y*z0^4 - x^38*y - x^36*y*z0^2 + x^37*z0 + x^35*y*z0^2 + x^33*y*z0^4 - 2*x^36*z0 - x^34*y*z0^2 - x^34*z0^3 - x^32*y*z0^4 - 2*x^35*y + x^35*z0 - 2*x^33*z0^3 + x^31*y*z0^4 - x^34*y - 2*x^34*z0 - x^32*y*z0^2 - 2*x^32*z0^3 - x^30*y*z0^4 - 2*x^33*y - x^33*z0 + 2*x^31*y*z0^2 + 2*x^31*z0^3 - x^29*y*z0^4 + x^32*y - x^32*z0 - 2*x^30*y*z0^2 + x^30*z0^3 + x^28*y*z0^4 - 2*x^31*y + x^31*z0 + 2*x^29*y*z0^2 - x^27*y*z0^4 - 2*x^30*y - 2*x^26*y*z0^4 - x^29*y - x^29*z0 + x^27*y*z0^2 + 2*x^27*z0^3 + 2*x^25*y*z0^4 - x^28*y + 2*x^28*z0 + 2*x^26*y*z0^2 - x^26*z0^3 - 2*x^24*y*z0^4 - x^27*y - x^27*z0 + 2*x^25*y*z0^2 - x^25*z0^3 - 2*x^23*y*z0^4 + x^26*y + x^26*z0 + x^24*y*z0^2 + 2*x^22*y*z0^4 - 2*x^25*y + x^23*y*z0^2 - x^23*z0^3 + x^21*y*z0^4 - 2*x^24*y - x^24*z0 - x^22*y*z0^2 - 2*x^22*z0^3 + 2*x^20*y*z0^4 + 2*x^19*y*z0^4 + x^22*z0 - 2*x^20*y*z0^2 + 2*x^20*z0^3 - 2*x^18*y*z0^4 + x^19*y*z0^2 + 2*x^19*z0^3 + 2*x^17*y*z0^4 + x^20*y - 2*x^20*z0 - x^18*y*z0^2 - 2*x^16*y*z0^4 + x^19*y - 2*x^19*z0 + 2*x^17*y*z0^2 - x^17*z0^3 - 2*x^15*y*z0^4 + 2*x^18*y + 2*x^18*z0 - 2*x^16*y*z0^2 - x^16*z0^3 + x^14*y*z0^4 - 2*x^17*z0 - x^15*y*z0^2 + 2*x^15*z0^3 + x^13*y*z0^4 - x^16*y + 2*x^16*z0 - x^14*y*z0^2 - 2*x^14*z0^3 - x^12*y*z0^4 + x^15*y - 2*x^15*z0 + x^13*y*z0^2 + x^13*z0^3 - 2*x^11*y*z0^4 + x^14*y - x^14*z0 - 2*x^12*y*z0^2 + x^10*y*z0^4 + x^13*y - x^13*z0 + 2*x^11*y*z0^2 + 2*x^11*z0^3 - x^9*y*z0^4 + 2*x^12*z0 - 2*x^10*y*z0^2 - x^10*z0^3 - x^8*y*z0^4 - x^11*y - 2*x^11*z0 + x^9*z0^3 + x^7*y*z0^4 + 2*x^10*y - x^10*z0 - x^8*y*z0^2 - 2*x^8*z0^3 - x^6*y*z0^4 - x^9*y + 2*x^9*z0 - x^7*y*z0^2 + 2*x^5*y*z0^4 + x^8*z0 + 2*x^6*y*z0^2 + 2*x^6*z0^3 + x^4*y*z0^4 - x^7*z0 + 2*x^5*y*z0^2 + 2*x^5*z0^3 + 2*x^3*y*z0^4 - x^6*y + x^6*z0 - x^4*y*z0^2 - x^2*y*z0^4 - 2*x^5*y + x^5*z0 - 2*x^3*y*z0^2 + 2*x^3*z0^3 + x^4*y - x^2*y*z0^2 - x^2*z0^3 + x^3*z0 + x^2*y + 2*x^2*z0)/y) * dx,
+ ((-x^60*z0^4 - 2*x^61*z0^2 - 2*x^59*z0^4 + x^57*y^2*z0^4 + x^60*z0^2 + 2*x^58*y^2*z0^2 + 2*x^56*y^2*z0^4 - 2*x^61 - x^57*y^2*z0^2 + x^57*z0^4 + 2*x^60 + 2*x^58*y^2 + 2*x^58*z0^2 + 2*x^56*z0^4 - 2*x^57*y^2 - x^57*z0^2 + 2*x^58 - x^54*z0^4 - 2*x^57 - 2*x^55*z0^2 - 2*x^53*z0^4 + x^54*z0^2 - 2*x^55 + x^51*z0^4 + 2*x^54 + 2*x^52*z0^2 + 2*x^50*z0^4 - x^51*z0^2 + 2*x^52 - x^48*z0^4 - 2*x^51 - 2*x^49*z0^2 - 2*x^47*z0^4 + x^48*z0^2 - 2*x^49 + x^45*z0^4 + 2*x^48 + 2*x^46*z0^2 + 2*x^44*z0^4 - x^45*z0^2 + 2*x^46 - x^42*z0^4 - 2*x^45 - 2*x^43*z0^2 + 2*x^41*z0^4 + x^42*z0^2 - x^40*z0^4 - 2*x^43 - 2*x^41*z0^2 - 2*x^39*y*z0^3 + 2*x^39*z0^4 + 2*x^42 - x^40*y*z0 + x^40*z0^2 - 2*x^38*z0^4 + x^36*y^2*z0^4 - x^41 + x^39*z0^2 - 2*x^37*y*z0^3 - 2*x^40 - x^38*y*z0 + x^38*z0^2 - x^36*y*z0^3 - 2*x^39 - x^35*y*z0^3 + x^35*z0^4 - x^38 - 2*x^36*y*z0 - x^36*z0^2 + x^34*y*z0^3 - x^34*z0^4 + x^37 + x^35*y*z0 - x^35*z0^2 + 2*x^33*y*z0^3 + x^33*z0^4 + x^34*y*z0 - x^34*z0^2 - 2*x^32*y*z0^3 + x^32*z0^4 - x^33*y*z0 + 2*x^33*z0^2 + x^31*y*z0^3 + 2*x^34 - x^32*z0^2 - 2*x^30*z0^4 - 2*x^33 - 2*x^31*y*z0 - 2*x^31*z0^2 + x^29*z0^4 - x^30*y*z0 + x^30*z0^2 - 2*x^28*y*z0^3 + x^28*z0^4 + x^31 - 2*x^29*y*z0 + 2*x^29*z0^2 - x^27*y*z0^3 - 2*x^27*z0^4 + x^30 - 2*x^28*y*z0 - x^26*y*z0^3 + 2*x^29 + 2*x^27*y*z0 + x^27*z0^2 + x^25*y*z0^3 - 2*x^25*z0^4 - 2*x^28 + 2*x^26*y*z0 - 2*x^26*z0^2 + 2*x^24*y*z0^3 + 2*x^24*z0^4 + x^27 - 2*x^25*y*z0 - x^25*z0^2 + x^23*y*z0^3 - 2*x^23*z0^4 + x^26 + 2*x^24*z0^2 + 2*x^22*y*z0^3 + x^25 - x^23*z0^2 - x^21*y*z0^3 - x^21*z0^4 + 2*x^22*z0^2 - 2*x^20*y*z0^3 + x^23 + 2*x^19*y*z0^3 - x^19*z0^4 + 2*x^22 + 2*x^20*y*z0 - 2*x^20*z0^2 - x^18*y*z0^3 + x^18*z0^4 + x^21 - x^19*y*z0 - 2*x^19*z0^2 - x^17*y*z0^3 - x^20 - 2*x^18*z0^2 - x^16*y*z0^3 + x^16*z0^4 - x^19 + x^17*y*z0 - 2*x^17*z0^2 + 2*x^15*y*z0^3 - x^15*z0^4 - 2*x^16*y*z0 + 2*x^14*y*z0^3 + x^14*z0^4 - x^15*y*z0 - x^15*z0^2 - 2*x^13*y*z0^3 - 2*x^16 + 2*x^14*y*z0 + 2*x^12*y*z0^3 - 2*x^15 + 2*x^13*y*z0 - 2*x^13*z0^2 + 2*x^11*y*z0^3 + x^14 - 2*x^12*y*z0 + 2*x^12*z0^2 - 2*x^10*y*z0^3 + x^10*z0^4 - x^13 - x^11*z0^2 - 2*x^9*y*z0^3 + 2*x^10*y*z0 + x^10*z0^2 + x^8*y*z0^3 + x^8*z0^4 + 2*x^9*y*z0 + x^9*z0^2 + x^10 - x^8*z0^2 - x^6*y*z0^3 + x^6*z0^4 - x^9 - x^7*z0^2 + 2*x^5*y*z0^3 + 2*x^5*z0^4 - x^8 - 2*x^6*y*z0 - 2*x^6*z0^2 + 2*x^4*z0^4 + 2*x^7 - x^5*y*z0 - 2*x^5*z0^2 + 2*x^3*y*z0^3 + x^6 + x^4*y*z0 + 2*x^4*z0^2 - 2*x^2*y*z0^3 - 2*x^2*z0^4 - x^3*y*z0 - 2*x^3*z0^2 + x^2*y*z0 + 2*x^3 - 2*x^2)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^61*z0^4 + x^60*z0^4 + x^58*y^2*z0^4 + 2*x^61*z0^2 + x^59*z0^4 - x^57*y^2*z0^4 - x^60*z0^2 - 2*x^58*y^2*z0^2 + x^58*z0^4 - x^56*y^2*z0^4 + x^61 + x^57*y^2*z0^2 - x^57*z0^4 - x^60 - x^58*y^2 - 2*x^58*z0^2 - x^56*z0^4 + x^57*y^2 + x^57*z0^2 - x^55*z0^4 - x^58 + x^54*z0^4 + x^57 + 2*x^55*z0^2 + x^53*z0^4 - x^54*z0^2 + x^52*z0^4 + x^55 - x^51*z0^4 - x^54 - 2*x^52*z0^2 - x^50*z0^4 + x^51*z0^2 - x^49*z0^4 - x^52 + x^48*z0^4 + x^51 + 2*x^49*z0^2 + x^47*z0^4 - x^48*z0^2 + x^46*z0^4 + x^49 - x^45*z0^4 - x^48 - 2*x^46*z0^2 - x^44*z0^4 + x^45*z0^2 - x^43*z0^4 - x^46 + x^42*z0^4 + x^45 + 2*x^43*z0^2 - 2*x^41*z0^4 - x^42*z0^2 + 2*x^40*y*z0^3 - x^40*z0^4 + x^43 + 2*x^41*z0^2 + 2*x^39*y*z0^3 - x^39*z0^4 - x^42 + x^40*y*z0 + x^40*z0^2 + x^38*y*z0^3 - x^38*z0^4 + 2*x^41 + 2*x^39*y*z0 - x^39*z0^2 + 2*x^37*y*z0^3 - 2*x^37*z0^4 + x^40 + 2*x^38*y*z0 - x^38*z0^2 + x^36*y*z0^3 - x^39 + x^37*y^2 - x^37*y*z0 - x^37*z0^2 + x^35*z0^4 + x^38 + x^36*y*z0 + x^36*z0^2 - x^34*y*z0^3 - x^34*z0^4 - 2*x^35*z0^2 + x^34*y*z0 - x^34*z0^2 + 2*x^32*y*z0^3 - 2*x^32*z0^4 - 2*x^35 - 2*x^33*z0^2 - x^34 - 2*x^32*y*z0 + x^32*z0^2 + x^30*y*z0^3 + 2*x^33 + 2*x^31*z0^2 + x^29*z0^4 - x^32 - x^30*y*z0 + x^30*z0^2 - x^28*y*z0^3 + x^28*z0^4 - 2*x^29*y*z0 + 2*x^29*z0^2 + x^27*y*z0^3 - x^27*z0^4 + x^30 - 2*x^28*y*z0 - x^28*z0^2 + x^26*z0^4 + 2*x^29 + x^27*y*z0 + x^27*z0^2 + 2*x^25*z0^4 - x^28 - 2*x^26*z0^2 - 2*x^24*y*z0^3 + 2*x^24*z0^4 + 2*x^25*y*z0 + 2*x^25*z0^2 - x^23*y*z0^3 + 2*x^23*z0^4 + x^24*y*z0 - x^24*z0^2 - x^22*y*z0^3 - x^22*z0^4 + x^23*y*z0 - 2*x^23*z0^2 + 2*x^21*y*z0^3 + 2*x^21*z0^4 - x^24 + 2*x^22*y*z0 + x^22*z0^2 - 2*x^20*y*z0^3 - x^20*z0^4 - 2*x^23 - x^21*y*z0 + 2*x^21*z0^2 + 2*x^19*z0^4 + 2*x^22 - 2*x^20*y*z0 + 2*x^20*z0^2 + x^18*y*z0^3 - x^18*z0^4 - x^19*y*z0 + 2*x^19*z0^2 + 2*x^17*z0^4 - x^18*y*z0 + 2*x^18*z0^2 + 2*x^16*y*z0^3 + x^16*z0^4 - 2*x^19 + 2*x^17*y*z0 - 2*x^17*z0^2 - x^18 - 2*x^14*y*z0^3 + x^14*z0^4 + 2*x^17 + x^15*y*z0 + 2*x^15*z0^2 + 2*x^13*y*z0^3 + x^13*z0^4 + x^16 + x^14*y*z0 - 2*x^14*z0^2 - x^12*y*z0^3 - 2*x^12*z0^4 + x^15 - 2*x^13*y*z0 - x^11*y*z0^3 - x^11*z0^4 + x^12*y*z0 - x^12*z0^2 + 2*x^10*y*z0^3 - x^10*z0^4 - 2*x^13 - x^11*y*z0 - 2*x^11*z0^2 + 2*x^9*y*z0^3 - 2*x^9*z0^4 + x^12 + 2*x^10*y*z0 + 2*x^10*z0^2 + x^8*y*z0^3 + x^8*z0^4 + x^9*y*z0 + x^9*z0^2 - 2*x^7*y*z0^3 + 2*x^7*z0^4 + 2*x^10 + x^8*z0^2 + 2*x^6*y*z0^3 - x^6*z0^4 + 2*x^9 + 2*x^7*y*z0 + x^7*z0^2 + 2*x^5*y*z0^3 + 2*x^5*z0^4 + x^8 + 2*x^6*z0^2 + x^4*y*z0^3 - 2*x^4*z0^4 - 2*x^7 - 2*x^5*z0^2 + 2*x^3*y*z0^3 + x^3*z0^4 - 2*x^2*z0^4 + x^3*y*z0 - x^3*z0^2 + 2*x^2*y*z0 - 2*x^2*z0^2 - x^3)/y) * dx,
+ ((-2*x^61*z0^3 - x^60*z0^3 + 2*x^58*y^2*z0^3 + x^61*z0 + x^59*z0^3 + x^57*y^2*z0^3 + 2*x^60*z0 - x^58*y^2*z0 + 2*x^58*z0^3 - x^56*y^2*z0^3 + 2*x^59*z0 - 2*x^57*y^2*z0 - x^57*z0^3 - x^58*z0 - 2*x^56*y^2*z0 - x^56*z0^3 + 2*x^54*y^2*z0^3 - 2*x^57*z0 - 2*x^55*z0^3 - 2*x^56*z0 + x^54*z0^3 + x^55*z0 + x^53*z0^3 + 2*x^54*z0 + 2*x^52*z0^3 + 2*x^53*z0 - x^51*z0^3 - x^52*z0 - x^50*z0^3 - 2*x^51*z0 - 2*x^49*z0^3 - 2*x^50*z0 + x^48*z0^3 + x^49*z0 + x^47*z0^3 + 2*x^48*z0 + 2*x^46*z0^3 + 2*x^47*z0 - x^45*z0^3 - x^46*z0 - x^44*z0^3 - 2*x^45*z0 - 2*x^43*z0^3 - 2*x^44*z0 + x^42*z0^3 + x^43*z0 - x^41*z0^3 - 2*x^39*y*z0^4 + 2*x^42*z0 - x^40*y*z0^2 + x^40*z0^3 - 2*x^38*y*z0^4 - 2*x^41*z0 + x^39*y*z0^2 + 2*x^37*y*z0^4 - 2*x^40*y - x^40*z0 - 2*x^38*y*z0^2 + x^38*z0^3 + x^36*y*z0^4 + x^39*z0 + x^37*y^2*z0 - 2*x^37*y*z0^2 + 2*x^37*z0^3 + 2*x^35*y*z0^4 - x^38*y + 2*x^38*z0 + 2*x^36*y*z0^2 - 2*x^36*z0^3 + x^37*y - x^37*z0 - 2*x^35*y*z0^2 + x^35*z0^3 - 2*x^33*y*z0^4 - 2*x^36*y - 2*x^34*z0^3 - 2*x^32*y*z0^4 + 2*x^35*y - x^35*z0 + 2*x^33*y*z0^2 - x^33*z0^3 + 2*x^34*y - 2*x^34*z0 - 2*x^32*y*z0^2 + x^32*z0^3 + x^30*y*z0^4 - x^33*y + x^31*y*z0^2 - 2*x^31*z0^3 - x^29*y*z0^4 - 2*x^32*y - x^30*y*z0^2 - 2*x^28*y*z0^4 - x^31*y - x^31*z0 + 2*x^29*y*z0^2 + 2*x^29*z0^3 + x^27*y*z0^4 - 2*x^30*y + 2*x^30*z0 - 2*x^28*y*z0^2 + x^26*y*z0^4 + x^29*y - x^27*y*z0^2 - 2*x^27*z0^3 - x^25*y*z0^4 - x^28*y + x^26*z0^3 - x^24*y*z0^4 + 2*x^27*y + x^27*z0 - x^25*z0^3 - x^26*y + x^26*z0 - 2*x^24*y*z0^2 + 2*x^24*z0^3 + x^22*y*z0^4 + 2*x^25*y + 2*x^25*z0 - x^23*y*z0^2 - x^23*z0^3 + 2*x^21*y*z0^4 - x^24*y - 2*x^24*z0 + 2*x^22*z0^3 + 2*x^20*y*z0^4 - x^23*y - x^23*z0 + 2*x^21*y*z0^2 - 2*x^21*z0^3 + x^19*y*z0^4 - x^20*y*z0^2 - 2*x^18*y*z0^4 - 2*x^21*y - 2*x^21*z0 + x^19*y*z0^2 + x^19*z0^3 - 2*x^17*y*z0^4 + x^20*y + x^20*z0 + x^18*y*z0^2 + x^18*z0^3 - 2*x^16*y*z0^4 - x^19*y - x^19*z0 - 2*x^17*y*z0^2 + 2*x^15*y*z0^4 - 2*x^18*z0 + x^16*z0^3 - x^14*y*z0^4 + x^17*y + x^17*z0 - x^15*y*z0^2 + x^15*z0^3 - 2*x^13*y*z0^4 - x^16*z0 - 2*x^14*z0^3 - 2*x^12*y*z0^4 + x^15*y - x^15*z0 - x^13*y*z0^2 - x^11*y*z0^4 + x^14*y + 2*x^12*y*z0^2 + x^12*z0^3 + x^10*y*z0^4 - x^13*z0 - x^11*y*z0^2 + x^9*y*z0^4 + 2*x^12*y + 2*x^12*z0 - 2*x^10*y*z0^2 - 2*x^10*z0^3 - 2*x^8*y*z0^4 + x^11*y - x^11*z0 - x^9*y*z0^2 - x^9*z0^3 + 2*x^10*y + 2*x^10*z0 + x^8*z0^3 + 2*x^9*y + 2*x^9*z0 + x^7*z0^3 + x^5*y*z0^4 + x^8*y - 2*x^8*z0 - x^6*y*z0^2 + x^6*z0^3 + 2*x^7*y - x^7*z0 + x^5*y*z0^2 - x^3*y*z0^4 + x^6*y + x^6*z0 + x^5*y + 2*x^5*z0 - x^3*z0^3 - x^4*y + x^2*y*z0^2 + 2*x^3*z0 - 2*x^2*y - 2*x^2*z0)/y) * dx,
+ ((-2*x^61*z0^4 + 2*x^60*z0^4 + 2*x^58*y^2*z0^4 + x^61*z0^2 - 2*x^59*z0^4 - 2*x^57*y^2*z0^4 + 2*x^60*z0^2 - x^58*y^2*z0^2 + 2*x^58*z0^4 + 2*x^56*y^2*z0^4 - 2*x^61 - 2*x^57*y^2*z0^2 - 2*x^57*z0^4 - x^60 + 2*x^58*y^2 - x^58*z0^2 + 2*x^56*z0^4 + x^57*y^2 - 2*x^57*z0^2 - 2*x^55*z0^4 + 2*x^58 + 2*x^54*z0^4 + x^57 + x^55*z0^2 - 2*x^53*z0^4 + 2*x^54*z0^2 + 2*x^52*z0^4 - 2*x^55 - 2*x^51*z0^4 - x^54 - x^52*z0^2 + 2*x^50*z0^4 - 2*x^51*z0^2 - 2*x^49*z0^4 + 2*x^52 + 2*x^48*z0^4 + x^51 + x^49*z0^2 - 2*x^47*z0^4 + 2*x^48*z0^2 + 2*x^46*z0^4 - 2*x^49 - 2*x^45*z0^4 - x^48 - x^46*z0^2 + 2*x^44*z0^4 - 2*x^45*z0^2 - 2*x^43*z0^4 + 2*x^46 + 2*x^42*z0^4 + x^45 + x^43*z0^2 + 2*x^42*z0^2 - x^40*y*z0^3 + 2*x^40*z0^4 - 2*x^43 + x^41*z0^2 + x^39*y*z0^3 + x^39*z0^4 - x^42 - 2*x^40*y*z0 + 2*x^40*z0^2 + 2*x^38*y*z0^3 - x^38*z0^4 + 2*x^41 + 2*x^39*z0^2 + x^37*y^2*z0^2 + 2*x^37*y*z0^3 - 2*x^40 - 2*x^38*y*z0 + 2*x^38*z0^2 - 2*x^36*y*z0^3 - x^36*z0^4 + 2*x^39 + 2*x^37*y*z0 + 2*x^37*z0^2 + x^35*y*z0^3 + 2*x^35*z0^4 + 2*x^36*y*z0 - 2*x^36*z0^2 + 2*x^34*y*z0^3 + 2*x^34*z0^4 + 2*x^37 + 2*x^35*y*z0 - 2*x^35*z0^2 - x^33*y*z0^3 + 2*x^33*z0^4 + x^36 + 2*x^34*y*z0 + 2*x^34*z0^2 + x^32*y*z0^3 + 2*x^32*z0^4 + x^35 + 2*x^33*z0^2 - 2*x^31*y*z0^3 - x^31*z0^4 - 2*x^34 - x^32*y*z0 - x^32*z0^2 + x^30*y*z0^3 - 2*x^30*z0^4 - 2*x^33 + x^31*y*z0 - x^29*z0^4 - x^32 - 2*x^30*y*z0 + 2*x^28*y*z0^3 + 2*x^31 - 2*x^29*y*z0 - 2*x^29*z0^2 + x^27*y*z0^3 - x^27*z0^4 - 2*x^30 + x^28*y*z0 + x^28*z0^2 - x^26*y*z0^3 + x^26*z0^4 + 2*x^29 - 2*x^27*y*z0 + 2*x^27*z0^2 - 2*x^25*y*z0^3 - 2*x^25*z0^4 + x^28 - x^26*y*z0 + 2*x^26*z0^2 - x^24*y*z0^3 + 2*x^27 - 2*x^25*y*z0 + 2*x^25*z0^2 + 2*x^23*z0^4 + x^26 - x^24*z0^2 - 2*x^25 - 2*x^23*y*z0 + 2*x^21*y*z0^3 - x^21*z0^4 + x^24 - 2*x^22*y*z0 + 2*x^20*y*z0^3 - 2*x^20*z0^4 - 2*x^23 + x^21*y*z0 - x^21*z0^2 - x^19*y*z0^3 - x^19*z0^4 + 2*x^22 - x^20*y*z0 + 2*x^20*z0^2 + 2*x^18*y*z0^3 + x^18*z0^4 + x^19*y*z0 - 2*x^19*z0^2 - 2*x^17*y*z0^3 + 2*x^17*z0^4 - x^20 - 2*x^18*y*z0 + 2*x^18*z0^2 - 2*x^16*y*z0^3 + 2*x^16*z0^4 + 2*x^19 - 2*x^17*y*z0 + x^17*z0^2 + x^15*y*z0^3 + x^15*z0^4 + 2*x^18 + x^16*y*z0 - 2*x^16*z0^2 - x^14*y*z0^3 - x^14*z0^4 + x^17 + x^15*y*z0 - x^15*z0^2 - x^13*z0^4 - 2*x^16 - x^14*y*z0 - x^14*z0^2 + 2*x^12*y*z0^3 - x^12*z0^4 - 2*x^15 + 2*x^13*y*z0 + x^13*z0^2 + 2*x^11*z0^4 + 2*x^14 - x^12*y*z0 - 2*x^12*z0^2 - x^10*y*z0^3 + 2*x^10*z0^4 + x^13 - x^11*y*z0 - 2*x^11*z0^2 - 2*x^9*y*z0^3 + x^9*z0^4 - x^12 - x^10*y*z0 + 2*x^10*z0^2 - x^8*y*z0^3 - x^8*z0^4 + 2*x^11 + 2*x^9*z0^2 + 2*x^7*y*z0^3 - x^7*z0^4 - x^10 + x^8*y*z0 - x^8*z0^2 + 2*x^6*y*z0^3 + 2*x^9 - x^7*z0^2 + 2*x^5*y*z0^3 - x^5*z0^4 - 2*x^8 + x^6*y*z0 - 2*x^4*y*z0^3 - 2*x^4*z0^4 - x^7 - 2*x^5*y*z0 + x^3*y*z0^3 - 2*x^6 - 2*x^4*y*z0 - 2*x^4*z0^2 - x^2*y*z0^3 + x^2*z0^4 + 2*x^5 + 2*x^3*z0^2 - 2*x^2*y*z0 - 2*x^2*z0^2 - 2*x^3)/y) * dx,
+ ((-2*x^61*z0^3 + 2*x^58*y^2*z0^3 - 2*x^61*z0 - 2*x^60*z0 + 2*x^58*y^2*z0 + 2*x^58*z0^3 + 2*x^59*z0 + 2*x^57*y^2*z0 - x^57*z0^3 + 2*x^58*z0 - 2*x^56*y^2*z0 + x^54*y^2*z0^3 + 2*x^57*z0 - 2*x^55*z0^3 - 2*x^56*z0 + x^54*z0^3 - 2*x^55*z0 - 2*x^54*z0 + 2*x^52*z0^3 + 2*x^53*z0 - x^51*z0^3 + 2*x^52*z0 + 2*x^51*z0 - 2*x^49*z0^3 - 2*x^50*z0 + x^48*z0^3 - 2*x^49*z0 - 2*x^48*z0 + 2*x^46*z0^3 + 2*x^47*z0 - x^45*z0^3 + 2*x^46*z0 + 2*x^45*z0 - 2*x^43*z0^3 - 2*x^44*z0 + x^42*z0^3 - 2*x^43*z0 - 2*x^41*z0^3 - 2*x^39*y*z0^4 - 2*x^42*z0 - x^40*y*z0^2 + 2*x^40*z0^3 + x^38*y*z0^4 - 2*x^39*y*z0^2 - 2*x^39*z0^3 + x^37*y^2*z0^3 + 2*x^37*y*z0^4 - x^40*y + 2*x^40*z0 + x^38*z0^3 - x^36*y*z0^4 - 2*x^39*y - 2*x^39*z0 + 2*x^37*y*z0^2 + 2*x^37*z0^3 - 2*x^35*y*z0^4 - 2*x^38*y + x^38*z0 - 2*x^36*y*z0^2 + 2*x^36*z0^3 + x^34*y*z0^4 - 2*x^37*y + x^37*z0 + x^35*z0^3 - x^33*y*z0^4 + 2*x^36*y - 2*x^36*z0 + x^34*y*z0^2 + 2*x^34*z0^3 - 2*x^32*y*z0^4 + 2*x^35*y - 2*x^35*z0 + x^33*y*z0^2 + x^31*y*z0^4 + 2*x^34*y - x^34*z0 + x^32*y*z0^2 - x^32*z0^3 - x^33*y - 2*x^33*z0 - x^31*z0^3 - 2*x^32*y + 2*x^32*z0 - 2*x^30*y*z0^2 - x^30*z0^3 + 2*x^31*y + x^29*y*z0^2 - 2*x^29*z0^3 - 2*x^27*y*z0^4 - 2*x^30*z0 - x^28*z0^3 - 2*x^26*y*z0^4 + 2*x^29*z0 + x^27*y*z0^2 + x^27*z0^3 - x^25*y*z0^4 + x^28*y + 2*x^28*z0 - x^26*y*z0^2 + x^26*z0^3 + 2*x^24*y*z0^4 + x^25*y*z0^2 + x^25*z0^3 - 2*x^23*y*z0^4 - x^26*y + x^24*z0^3 + x^22*y*z0^4 - x^25*y - 2*x^25*z0 + 2*x^23*y*z0^2 + x^23*z0^3 - x^21*y*z0^4 + 2*x^24*z0 - 2*x^22*y*z0^2 + 2*x^22*z0^3 - 2*x^20*y*z0^4 - 2*x^23*y + 2*x^23*z0 + 2*x^21*y*z0^2 + 2*x^21*z0^3 - x^19*y*z0^4 - 2*x^22*z0 + 2*x^20*y*z0^2 - x^20*z0^3 + x^18*y*z0^4 + 2*x^21*y + 2*x^21*z0 + 2*x^19*y*z0^2 - x^17*y*z0^4 - 2*x^20*y + 2*x^20*z0 - 2*x^18*z0^3 - x^16*y*z0^4 + x^19*y - 2*x^17*z0^3 + 2*x^15*y*z0^4 + x^18*z0 + x^16*y*z0^2 - x^14*y*z0^4 - x^17*y + x^17*z0 - x^15*y*z0^2 + x^15*z0^3 + 2*x^13*y*z0^4 - x^16*y + 2*x^16*z0 + 2*x^12*y*z0^4 - x^15*y - x^15*z0 - x^13*z0^3 - x^11*y*z0^4 + x^14*z0 + x^12*y*z0^2 + x^12*z0^3 + 2*x^10*y*z0^4 - x^13*y + 2*x^13*z0 - 2*x^11*y*z0^2 + x^11*z0^3 - x^9*y*z0^4 - 2*x^12*z0 - 2*x^10*y*z0^2 - x^10*z0^3 + x^8*y*z0^4 + 2*x^11*z0 - x^9*y*z0^2 + x^9*z0^3 + 2*x^7*y*z0^4 - x^10*y - x^10*z0 - x^8*y*z0^2 - 2*x^6*y*z0^4 - 2*x^9*y + 2*x^9*z0 + x^7*y*z0^2 + x^7*z0^3 + 2*x^8*y - x^8*z0 + x^6*y*z0^2 + x^6*z0^3 - x^4*y*z0^4 - 2*x^7*z0 - x^5*y*z0^2 + 2*x^5*z0^3 - x^6*y - 2*x^4*y*z0^2 + 2*x^2*y*z0^4 + 2*x^5*y - 2*x^5*z0 + x^3*y*z0^2 - 2*x^3*z0^3 - 2*x^4*y - x^4*z0 + x^2*y*z0^2 - 2*x^2*z0^3 - x^3*y + x^2*y + 2*x^2*z0)/y) * dx,
+ ((-x^61*z0^4 + x^60*z0^4 + x^58*y^2*z0^4 - x^57*y^2*z0^4 + x^58*z0^4 + x^61 - x^57*z0^4 + 2*x^60 - x^58*y^2 - 2*x^57*y^2 - x^55*z0^4 - x^58 + x^54*z0^4 - 2*x^57 + x^52*z0^4 + x^55 - x^51*z0^4 + 2*x^54 - x^49*z0^4 - x^52 + x^48*z0^4 - 2*x^51 + x^46*z0^4 + x^49 - x^45*z0^4 + 2*x^48 - x^43*z0^4 - x^46 + x^42*z0^4 - 2*x^45 + 2*x^41*z0^4 + 2*x^40*y*z0^3 - x^40*z0^4 + x^43 - 2*x^39*z0^4 + x^37*y^2*z0^4 + 2*x^42 - 2*x^40*z0^2 + 2*x^38*y*z0^3 - x^38*z0^4 + 2*x^41 + 2*x^39*y*z0 - x^37*y*z0^3 - 2*x^40 + x^38*y*z0 - 2*x^39 + x^37*y*z0 + 2*x^37*z0^2 - x^35*y*z0^3 + x^35*z0^4 - x^38 - x^36*y*z0 + x^37 - x^35*y*z0 - x^35*z0^2 - 2*x^33*y*z0^3 - x^34*z0^2 + 2*x^32*y*z0^3 + 2*x^35 - x^33*z0^2 + 2*x^31*y*z0^3 - 2*x^34 - 2*x^32*y*z0 - x^32*z0^2 - 2*x^30*y*z0^3 + x^30*z0^4 + 2*x^33 - x^31*y*z0 + 2*x^31*z0^2 - x^29*y*z0^3 - 2*x^29*z0^4 + x^32 + 2*x^30*y*z0 - x^30*z0^2 - 2*x^28*y*z0^3 + 2*x^29*y*z0 - x^27*y*z0^3 - x^27*z0^4 + 2*x^30 - 2*x^28*y*z0 + 2*x^28*z0^2 - 2*x^26*y*z0^3 + 2*x^26*z0^4 - x^29 + x^27*z0^2 + x^25*y*z0^3 - x^25*z0^4 - 2*x^26*y*z0 - 2*x^26*z0^2 - x^24*z0^4 - 2*x^23*y*z0^3 - x^23*z0^4 + 2*x^26 + x^24*y*z0 + x^24*z0^2 + x^22*y*z0^3 + 2*x^22*z0^4 + x^25 - x^23*y*z0 - 2*x^23*z0^2 + 2*x^21*y*z0^3 - 2*x^21*z0^4 + x^24 + x^22*y*z0 - x^22*z0^2 - x^20*y*z0^3 - 2*x^20*z0^4 - 2*x^21*y*z0 - x^21*z0^2 + x^20*y*z0 + x^18*z0^4 - 2*x^21 - 2*x^19*z0^2 + x^17*y*z0^3 - x^17*z0^4 - x^20 + x^18*y*z0 + x^18*z0^2 - 2*x^16*y*z0^3 - 2*x^16*z0^4 - x^19 - x^17*y*z0 - x^17*z0^2 - 2*x^15*y*z0^3 - x^15*z0^4 - 2*x^16*z0^2 - 2*x^14*y*z0^3 + x^14*z0^4 + x^17 + x^15*y*z0 - 2*x^13*y*z0^3 + 2*x^13*z0^4 + x^14*y*z0 - x^14*z0^2 - 2*x^12*y*z0^3 + 2*x^15 - x^13*z0^2 + x^11*y*z0^3 - x^12*y*z0 - 2*x^12*z0^2 + x^10*z0^4 + 2*x^13 - 2*x^11*y*z0 - 2*x^9*y*z0^3 - x^9*z0^4 + 2*x^12 + x^10*y*z0 - 2*x^10*z0^2 + x^8*y*z0^3 + 2*x^8*z0^4 - 2*x^11 + x^9*z0^2 - x^7*z0^4 - x^10 + x^8*y*z0 - 2*x^8*z0^2 - x^6*y*z0^3 - 2*x^9 + 2*x^7*y*z0 - 2*x^7*z0^2 + 2*x^5*y*z0^3 - x^5*z0^4 + 2*x^8 + x^6*y*z0 + x^6*z0^2 + 2*x^4*y*z0^3 - x^7 + x^5*y*z0 + x^3*y*z0^3 - 2*x^3*z0^4 - 2*x^6 - 2*x^4*y*z0 - 2*x^4*z0^2 - x^2*y*z0^3 - 2*x^5 + 2*x^3*y*z0 - x^3*z0^2 + 2*x^2*y*z0 - x^2*z0^2 + 2*x^3 + x^2)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^60*z0^4 + x^61*z0^2 + x^57*y^2*z0^4 - 2*x^60*z0^2 - x^58*y^2*z0^2 - x^61 + 2*x^57*y^2*z0^2 + x^57*z0^4 + x^58*y^2 - x^58*z0^2 + 2*x^57*z0^2 + x^58 - x^54*z0^4 + x^55*z0^2 - 2*x^54*z0^2 - x^55 + x^51*z0^4 - x^52*z0^2 + 2*x^51*z0^2 + x^52 - x^48*z0^4 + x^49*z0^2 - 2*x^48*z0^2 - x^49 + x^45*z0^4 - x^46*z0^2 + 2*x^45*z0^2 + x^46 - x^42*z0^4 + x^43*z0^2 + 2*x^41*z0^4 - 2*x^42*z0^2 - 2*x^40*z0^4 - x^43 + x^41*z0^2 + x^39*y*z0^3 + 2*x^39*z0^4 - 2*x^40*y*z0 + x^40*z0^2 + 2*x^38*y*z0^3 - x^38*z0^4 + x^41 + x^39*y*z0 + x^39*z0^2 - x^37*y*z0^3 - 2*x^37*z0^4 - x^40 + x^38*y^2 + x^38*y*z0 + 2*x^38*z0^2 - 2*x^36*y*z0^3 - 2*x^36*z0^4 - 2*x^39 + x^37*y*z0 + 2*x^37*z0^2 - x^35*y*z0^3 - x^35*z0^4 - x^36*z0^2 - 2*x^34*y*z0^3 - 2*x^34*z0^4 - 2*x^37 - x^35*y*z0 + 2*x^35*z0^2 - 2*x^33*y*z0^3 + x^33*z0^4 + x^36 + 2*x^34*y*z0 + x^34*z0^2 + 2*x^32*y*z0^3 - 2*x^32*z0^4 + 2*x^35 + 2*x^33*y*z0 + x^31*y*z0^3 - 2*x^31*z0^4 - x^34 + 2*x^32*y*z0 - 2*x^32*z0^2 + x^30*y*z0^3 + 2*x^33 - 2*x^29*y*z0^3 + 2*x^29*z0^4 - 2*x^32 + 2*x^30*y*z0 + x^30*z0^2 - 2*x^28*y*z0^3 + x^31 - x^29*y*z0 + x^29*z0^2 + 2*x^27*y*z0^3 + 2*x^27*z0^4 + x^28*y*z0 - x^28*z0^2 + x^26*y*z0^3 + 2*x^26*z0^4 - x^29 - 2*x^27*y*z0 + x^27*z0^2 + 2*x^25*y*z0^3 + x^25*z0^4 - x^28 - 2*x^26*z0^2 + x^24*y*z0^3 + x^24*z0^4 + x^27 + x^25*y*z0 - 2*x^25*z0^2 + 2*x^23*y*z0^3 - x^23*z0^4 - x^26 - 2*x^24*y*z0 + 2*x^24*z0^2 - x^22*y*z0^3 + x^22*z0^4 - x^25 - x^23*y*z0 + 2*x^23*z0^2 - x^21*z0^4 - 2*x^22*z0^2 - 2*x^20*y*z0^3 + x^20*z0^4 + 2*x^23 - x^21*y*z0 - x^21*z0^2 - 2*x^19*z0^4 - 2*x^22 + x^20*y*z0 + x^20*z0^2 - x^18*y*z0^3 - x^18*z0^4 + x^19*y*z0 + x^19*z0^2 + x^17*y*z0^3 - 2*x^17*z0^4 + 2*x^20 + x^18*y*z0 + 2*x^18*z0^2 + 2*x^16*y*z0^3 - 2*x^19 - 2*x^17*y*z0 - 2*x^17*z0^2 + x^15*y*z0^3 - x^18 + 2*x^16*z0^2 + x^14*y*z0^3 - x^14*z0^4 + x^17 - 2*x^15*y*z0 - 2*x^13*y*z0^3 - 2*x^13*z0^4 + x^16 + 2*x^14*y*z0 + 2*x^12*y*z0^3 - 2*x^15 - 2*x^13*z0^2 - x^11*y*z0^3 - x^11*z0^4 - x^14 + 2*x^12*y*z0 - x^10*y*z0^3 + x^11*z0^2 + 2*x^9*y*z0^3 + 2*x^9*z0^4 + 2*x^12 + 2*x^10*y*z0 - 2*x^8*y*z0^3 + 2*x^8*z0^4 - 2*x^9*y*z0 + 2*x^9*z0^2 - 2*x^7*y*z0^3 + x^10 + x^8*y*z0 - 2*x^8*z0^2 - x^6*y*z0^3 - 2*x^6*z0^4 + 2*x^9 + 2*x^7*y*z0 - x^7*z0^2 - x^5*y*z0^3 + x^5*z0^4 + 2*x^8 - x^6*y*z0 + 2*x^4*y*z0^3 + x^4*z0^4 - x^5*y*z0 + 2*x^3*y*z0^3 + x^3*z0^4 - x^6 + x^4*y*z0 + 2*x^4*z0^2 + 2*x^5 - x^3*y*z0 + 2*x^3*z0^2 + 2*x^2*y*z0 + x^2*z0^2 + x^3 + x^2)/y) * dx,
+ ((-x^61*z0^3 - x^60*z0^3 + x^58*y^2*z0^3 + 2*x^61*z0 + x^59*z0^3 + x^57*y^2*z0^3 - 2*x^58*y^2*z0 - 2*x^58*z0^3 - x^56*y^2*z0^3 - x^59*z0 + x^57*z0^3 - 2*x^55*y^2*z0^3 - 2*x^58*z0 + x^56*y^2*z0 - x^56*z0^3 + 2*x^55*z0^3 + x^56*z0 - x^54*z0^3 + 2*x^55*z0 + x^53*z0^3 - 2*x^52*z0^3 - x^53*z0 + x^51*z0^3 - 2*x^52*z0 - x^50*z0^3 + 2*x^49*z0^3 + x^50*z0 - x^48*z0^3 + 2*x^49*z0 + x^47*z0^3 - 2*x^46*z0^3 - x^47*z0 + x^45*z0^3 - 2*x^46*z0 - x^44*z0^3 + 2*x^43*z0^3 + x^44*z0 - x^42*z0^3 + 2*x^43*z0 - x^39*y*z0^4 + 2*x^40*y*z0^2 + x^38*y*z0^4 + 2*x^39*y*z0^2 - 2*x^39*z0^3 - 2*x^37*y*z0^4 + x^40*y - 2*x^40*z0 + x^38*y^2*z0 + 2*x^38*y*z0^2 - 2*x^38*z0^3 - x^36*y*z0^4 + x^39*y + x^39*z0 + 2*x^37*y*z0^2 + 2*x^37*z0^3 + 2*x^35*y*z0^4 - x^38*y - x^36*y*z0^2 - 2*x^34*y*z0^4 + 2*x^37*y - x^37*z0 + 2*x^35*y*z0^2 + 2*x^35*z0^3 + x^33*y*z0^4 + x^36*z0 + x^34*y*z0^2 - 2*x^34*z0^3 - x^32*y*z0^4 + 2*x^35*y - x^35*z0 + 2*x^33*y*z0^2 - x^33*z0^3 - 2*x^31*y*z0^4 - 2*x^34*y - x^34*z0 + x^32*z0^3 + x^30*y*z0^4 + 2*x^33*y + x^33*z0 - x^31*y*z0^2 - x^31*z0^3 - x^29*y*z0^4 + 2*x^32*y + x^32*z0 + 2*x^30*z0^3 + 2*x^28*y*z0^4 + x^31*y - 2*x^31*z0 - 2*x^29*y*z0^2 + x^29*z0^3 + x^27*y*z0^4 + 2*x^30*y + x^30*z0 + 2*x^28*z0^3 + x^26*y*z0^4 + 2*x^29*y - 2*x^29*z0 + 2*x^27*y*z0^2 + 2*x^27*z0^3 + x^25*y*z0^4 - 2*x^28*z0 - 2*x^26*y*z0^2 - x^26*z0^3 - x^27*y - 2*x^25*y*z0^2 - 2*x^25*z0^3 + x^23*y*z0^4 + x^26*y + 2*x^26*z0 - 2*x^24*y*z0^2 - 2*x^24*z0^3 + 2*x^22*y*z0^4 - 2*x^25*y + 2*x^25*z0 - 2*x^23*y*z0^2 + 2*x^23*z0^3 - 2*x^21*y*z0^4 - x^24*y + x^24*z0 + 2*x^22*y*z0^2 + 2*x^22*z0^3 + x^20*y*z0^4 + x^23*y - x^23*z0 + 2*x^21*y*z0^2 + 2*x^21*z0^3 - 2*x^22*y + 2*x^22*z0 + x^20*y*z0^2 + 2*x^20*z0^3 - 2*x^18*y*z0^4 + x^21*z0 + 2*x^19*y*z0^2 - 2*x^19*z0^3 - x^17*y*z0^4 + 2*x^18*y*z0^2 - x^18*z0^3 - 2*x^16*y*z0^4 - x^19*y - x^17*y*z0^2 + x^15*y*z0^4 + 2*x^18*y - x^18*z0 + 2*x^16*y*z0^2 + x^16*z0^3 + 2*x^14*y*z0^4 + 2*x^17*y + 2*x^17*z0 - x^15*y*z0^2 + 2*x^13*y*z0^4 - x^16*y - 2*x^16*z0 + x^14*y*z0^2 - 2*x^12*y*z0^4 - 2*x^15*y + 2*x^13*z0^3 + 2*x^14*y + x^14*z0 + x^12*y*z0^2 - x^12*z0^3 + 2*x^13*y + x^13*z0 + x^11*y*z0^2 + 2*x^11*z0^3 + x^9*y*z0^4 + 2*x^12*y - x^10*y*z0^2 - x^10*z0^3 + x^11*y + x^9*y*z0^2 - x^9*z0^3 + x^10*y + 2*x^10*z0 - 2*x^8*y*z0^2 + 2*x^8*z0^3 + x^6*y*z0^4 + 2*x^9*y - 2*x^9*z0 + 2*x^7*y*z0^2 - x^7*z0^3 + 2*x^5*y*z0^4 + x^8*y - 2*x^8*z0 + 2*x^6*y*z0^2 - x^4*y*z0^4 + 2*x^7*y - 2*x^7*z0 - 2*x^5*y*z0^2 - 2*x^5*z0^3 + 2*x^3*y*z0^4 + x^6*y - x^6*z0 - x^4*z0^3 + 2*x^2*y*z0^4 + x^5*y + 2*x^3*y*z0^2 + x^4*y - 2*x^4*z0 - 2*x^2*y*z0^2 - 2*x^3*y + x^3*z0 + 2*x^2*y - x^2*z0)/y) * dx,
+ ((x^61*z0^4 - x^60*z0^4 - x^58*y^2*z0^4 + x^57*y^2*z0^4 + x^60*z0^2 - x^58*z0^4 + 2*x^61 - x^57*y^2*z0^2 + x^57*z0^4 + x^60 - 2*x^58*y^2 - x^57*y^2 - x^57*z0^2 + x^55*z0^4 - 2*x^58 - x^54*z0^4 - x^57 + x^54*z0^2 - x^52*z0^4 + 2*x^55 + x^51*z0^4 + x^54 - x^51*z0^2 + x^49*z0^4 - 2*x^52 - x^48*z0^4 - x^51 + x^48*z0^2 - x^46*z0^4 + 2*x^49 + x^45*z0^4 + x^48 - x^45*z0^2 + x^43*z0^4 - 2*x^46 - x^42*z0^4 - x^45 + 2*x^41*z0^4 + x^42*z0^2 - 2*x^40*y*z0^3 - 2*x^40*z0^4 + 2*x^43 - x^41*z0^2 + x^42 + x^40*z0^2 + x^38*y^2*z0^2 + x^38*y*z0^3 - x^38*z0^4 + 2*x^41 + x^39*y*z0 - x^39*z0^2 - 2*x^37*y*z0^3 - 2*x^37*z0^4 + 2*x^40 + x^38*z0^2 - x^36*z0^4 - 2*x^39 - x^37*y*z0 - x^37*z0^2 + x^35*z0^4 - x^38 + x^36*z0^2 + x^34*y*z0^3 + x^37 - 2*x^35*z0^2 + x^33*y*z0^3 + 2*x^33*z0^4 + 2*x^36 - 2*x^34*y*z0 - 2*x^34*z0^2 + 2*x^32*y*z0^3 + x^32*z0^4 + 2*x^33*y*z0 - 2*x^33*z0^2 + x^31*y*z0^3 - x^31*z0^4 - x^34 + 2*x^32*y*z0 + x^30*y*z0^3 + x^30*z0^4 - x^31*z0^2 + x^29*z0^4 - 2*x^32 + x^30*y*z0 - 2*x^28*z0^4 - 2*x^31 - x^29*y*z0 - x^30 + 2*x^28*y*z0 - x^28*z0^2 + 2*x^26*y*z0^3 - 2*x^26*z0^4 - x^29 + 2*x^27*y*z0 - x^27*z0^2 + 2*x^25*z0^4 - x^26*y*z0 + 2*x^24*y*z0^3 + x^24*z0^4 - 2*x^27 - x^25*z0^2 + x^23*y*z0^3 + x^26 - x^24*z0^2 - 2*x^22*y*z0^3 + 2*x^22*z0^4 - x^25 + 2*x^23*y*z0 + 2*x^23*z0^2 - 2*x^21*y*z0^3 - x^21*z0^4 - 2*x^24 + x^22*y*z0 + x^20*y*z0^3 - 2*x^20*z0^4 - 2*x^23 + x^21*y*z0 + x^21*z0^2 - x^19*y*z0^3 - x^19*z0^4 + x^22 + x^20*y*z0 - 2*x^20*z0^2 + 2*x^18*y*z0^3 + x^18*z0^4 + 2*x^21 - x^19*z0^2 - x^17*y*z0^3 + 2*x^17*z0^4 - x^20 - x^18*y*z0 - 2*x^18*z0^2 + 2*x^16*y*z0^3 + 2*x^16*z0^4 + x^19 - 2*x^17*y*z0 + 2*x^17*z0^2 + 2*x^15*y*z0^3 + 2*x^15*z0^4 - 2*x^18 - 2*x^16*y*z0 + 2*x^14*y*z0^3 + x^17 - 2*x^15*y*z0 - 2*x^15*z0^2 + x^13*y*z0^3 + 2*x^13*z0^4 + x^16 + 2*x^14*y*z0 - x^14*z0^2 - 2*x^12*y*z0^3 + x^12*z0^4 + x^15 - x^13*y*z0 + 2*x^13*z0^2 - 2*x^11*y*z0^3 + 2*x^14 + x^12*y*z0 - 2*x^10*y*z0^3 - 2*x^10*z0^4 + 2*x^13 - x^11*y*z0 - 2*x^11*z0^2 - 2*x^9*y*z0^3 - 2*x^9*z0^4 - 2*x^12 + 2*x^10*y*z0 + x^10*z0^2 - 2*x^8*y*z0^3 - x^8*z0^4 + x^11 - x^9*y*z0 + x^9*z0^2 - 2*x^7*y*z0^3 - x^7*z0^4 - 2*x^10 + x^8*y*z0 + 2*x^6*y*z0^3 + x^6*z0^4 + 2*x^9 - 2*x^7*y*z0 - 2*x^7*z0^2 - x^5*y*z0^3 - 2*x^5*z0^4 + x^8 - x^4*y*z0^3 + 2*x^4*z0^4 - 2*x^7 + 2*x^5*y*z0 + x^5*z0^2 - x^3*z0^4 - x^6 + 2*x^4*y*z0 - x^4*z0^2 - x^2*z0^4 - x^5 + 2*x^3*y*z0 + 2*x^3*z0^2 + x^2*z0^2 + x^3 - x^2)/y) * dx,
+ ((-2*x^61*z0^3 - x^60*z0^3 + 2*x^58*y^2*z0^3 + x^61*z0 - x^59*z0^3 + x^57*y^2*z0^3 - x^60*z0 - x^58*y^2*z0 - 2*x^58*z0^3 + x^56*y^2*z0^3 + x^57*y^2*z0 - x^57*z0^3 - x^55*y^2*z0^3 - x^58*z0 + x^56*z0^3 + 2*x^54*y^2*z0^3 + x^57*z0 + 2*x^55*z0^3 + x^54*z0^3 + x^55*z0 - x^53*z0^3 - x^54*z0 - 2*x^52*z0^3 - x^51*z0^3 - x^52*z0 + x^50*z0^3 + x^51*z0 + 2*x^49*z0^3 + x^48*z0^3 + x^49*z0 - x^47*z0^3 - x^48*z0 - 2*x^46*z0^3 - x^45*z0^3 - x^46*z0 + x^44*z0^3 + x^45*z0 + 2*x^43*z0^3 + x^42*z0^3 + x^43*z0 + x^41*z0^3 - 2*x^39*y*z0^4 - x^42*z0 - x^40*y*z0^2 - 2*x^40*z0^3 + x^38*y^2*z0^3 - x^38*y*z0^4 + x^41*z0 + x^39*y*z0^2 - x^39*z0^3 - 2*x^40*y - x^40*z0 + 2*x^38*y*z0^2 + 2*x^38*z0^3 + 2*x^36*y*z0^4 - 2*x^37*z0^3 + x^38*y + 2*x^38*z0 - 2*x^36*y*z0^2 - 2*x^36*z0^3 + 2*x^34*y*z0^4 + x^37*y + x^35*y*z0^2 - x^35*z0^3 + 2*x^33*y*z0^4 - 2*x^36*y - x^34*y*z0^2 - x^35*z0 + x^33*y*z0^2 + x^33*z0^3 - 2*x^31*y*z0^4 + 2*x^34*y + x^34*z0 + x^32*y*z0^2 + 2*x^32*z0^3 - 2*x^30*y*z0^4 - 2*x^33*y + x^33*z0 - 2*x^31*y*z0^2 + 2*x^31*z0^3 + 2*x^29*y*z0^4 + 2*x^32*y - 2*x^32*z0 + x^30*y*z0^2 - x^28*y*z0^4 - 2*x^31*z0 + 2*x^29*y*z0^2 - 2*x^29*z0^3 - x^27*y*z0^4 - x^30*y + 2*x^30*z0 + x^28*y*z0^2 + x^28*z0^3 + 2*x^29*y - x^29*z0 + 2*x^27*y*z0^2 - x^27*z0^3 + x^25*y*z0^4 + 2*x^28*y - x^28*z0 - 2*x^27*y + x^27*z0 + 2*x^25*y*z0^2 + 2*x^25*z0^3 - 2*x^23*y*z0^4 + x^26*z0 - 2*x^24*y*z0^2 - 2*x^24*z0^3 + x^22*y*z0^4 - 2*x^25*z0 + x^23*y*z0^2 + x^23*z0^3 + x^21*y*z0^4 + x^24*y - x^24*z0 - 2*x^22*y*z0^2 + 2*x^20*y*z0^4 + x^23*y + 2*x^21*y*z0^2 + 2*x^21*z0^3 + 2*x^19*y*z0^4 + x^22*y - x^22*z0 - 2*x^20*y*z0^2 - 2*x^20*z0^3 - x^18*y*z0^4 - 2*x^21*y - 2*x^21*z0 - 2*x^19*y*z0^2 - 2*x^19*z0^3 + x^20*y + x^18*z0^3 + x^19*y - 2*x^19*z0 + x^17*z0^3 - 2*x^15*y*z0^4 - 2*x^18*z0 + x^16*z0^3 - x^14*y*z0^4 + 2*x^17*y - 2*x^17*z0 - 2*x^15*y*z0^2 + x^15*z0^3 - 2*x^16*y + x^16*z0 - x^14*z0^3 + x^12*y*z0^4 - x^15*y + x^13*y*z0^2 + x^13*z0^3 + x^11*y*z0^4 + x^14*y - x^14*z0 + x^12*y*z0^2 - 2*x^12*z0^3 + x^10*y*z0^4 - 2*x^13*y - 2*x^11*y*z0^2 - 2*x^11*z0^3 - 2*x^9*y*z0^4 - 2*x^12*y + x^12*z0 - x^10*y*z0^2 + x^10*z0^3 + 2*x^8*y*z0^4 + 2*x^11*y - 2*x^9*y*z0^2 + x^9*z0^3 - x^7*y*z0^4 + 2*x^10*y - 2*x^10*z0 + 2*x^8*z0^3 + x^6*y*z0^4 - x^9*y - 2*x^9*z0 - 2*x^7*y*z0^2 + x^7*z0^3 + x^8*y - x^8*z0 + x^6*y*z0^2 - 2*x^6*z0^3 + x^4*y*z0^4 + x^7*y + 2*x^5*z0^3 + x^3*y*z0^4 + x^6*y + x^6*z0 - 2*x^4*y*z0^2 + 2*x^2*y*z0^4 + 2*x^5*y - x^5*z0 + 2*x^3*y*z0^2 - x^3*z0^3 - 2*x^4*y - x^4*z0 - x^2*z0^3 - x^3*y - x^3*z0 + 2*x^2*z0)/y) * dx,
+ ((-x^60*z0^4 + x^61*z0^2 - x^59*z0^4 + x^57*y^2*z0^4 - 2*x^60*z0^2 - x^58*y^2*z0^2 + x^56*y^2*z0^4 + x^61 + 2*x^57*y^2*z0^2 + x^57*z0^4 + 2*x^60 - x^58*y^2 - x^58*z0^2 + x^56*z0^4 - 2*x^57*y^2 + 2*x^57*z0^2 - x^58 - x^54*z0^4 - 2*x^57 + x^55*z0^2 - x^53*z0^4 - 2*x^54*z0^2 + x^55 + x^51*z0^4 + 2*x^54 - x^52*z0^2 + x^50*z0^4 + 2*x^51*z0^2 - x^52 - x^48*z0^4 - 2*x^51 + x^49*z0^2 - x^47*z0^4 - 2*x^48*z0^2 + x^49 + x^45*z0^4 + 2*x^48 - x^46*z0^2 + x^44*z0^4 + 2*x^45*z0^2 - x^46 - x^42*z0^4 - 2*x^45 + x^43*z0^2 + x^41*z0^4 - 2*x^42*z0^2 - 2*x^40*z0^4 + x^38*y^2*z0^4 + x^43 + x^41*z0^2 + x^39*y*z0^3 + 2*x^39*z0^4 + 2*x^42 - 2*x^40*y*z0 - x^40*z0^2 + x^38*y*z0^3 + 2*x^38*z0^4 - 2*x^41 - 2*x^39*y*z0 + x^39*z0^2 - 2*x^37*z0^4 + 2*x^40 - x^38*y*z0 + 2*x^38*z0^2 - 2*x^36*y*z0^3 - 2*x^36*z0^4 - x^37*y*z0 + 2*x^37*z0^2 - x^35*y*z0^3 + x^35*z0^4 - x^38 - x^36*y*z0 - x^36*z0^2 - 2*x^34*y*z0^3 - x^37 - x^35*y*z0 + x^35*z0^2 - 2*x^33*y*z0^3 + 2*x^36 + 2*x^34*z0^2 - x^32*z0^4 - x^35 - 2*x^33*z0^2 + x^31*y*z0^3 + 2*x^31*z0^4 - x^34 + 2*x^32*y*z0 + x^32*z0^2 + 2*x^30*y*z0^3 + x^30*z0^4 - x^31*y*z0 + 2*x^31*z0^2 - x^29*y*z0^3 + 2*x^29*z0^4 - 2*x^32 - 2*x^30*y*z0 - x^30*z0^2 + 2*x^28*y*z0^3 + 2*x^31 - x^29*y*z0 + x^29*z0^2 + 2*x^27*y*z0^3 + x^30 - x^28*z0^2 + x^26*y*z0^3 + x^26*z0^4 + x^29 - x^27*y*z0 + 2*x^27*z0^2 - x^25*y*z0^3 + 2*x^25*z0^4 - x^26*y*z0 + x^24*y*z0^3 + x^24*z0^4 - x^27 - x^25*z0^2 + 2*x^23*y*z0^3 + 2*x^23*z0^4 - x^26 + x^24*y*z0 + 2*x^24*z0^2 + 2*x^22*y*z0^3 - 2*x^22*z0^4 - x^25 + 2*x^23*y*z0 + 2*x^23*z0^2 + x^21*y*z0^3 + 2*x^24 + x^22*y*z0 + x^22*z0^2 + x^20*y*z0^3 - 2*x^20*z0^4 + x^23 - 2*x^21*y*z0 - 2*x^20*y*z0 - x^18*y*z0^3 - 2*x^18*z0^4 - x^21 - x^19*y*z0 - 2*x^19*z0^2 - 2*x^17*y*z0^3 - x^17*z0^4 + 2*x^20 + 2*x^18*y*z0 + x^18*z0^2 + x^16*z0^4 + 2*x^19 + x^17*y*z0 - 2*x^15*z0^4 - x^18 + x^16*y*z0 + 2*x^16*z0^2 - x^14*y*z0^3 + 2*x^14*z0^4 - x^17 + x^15*y*z0 + 2*x^15*z0^2 - 2*x^13*y*z0^3 + x^16 + x^14*z0^2 - 2*x^13*y*z0 + 2*x^14 - 2*x^12*y*z0 + x^10*y*z0^3 - 2*x^10*z0^4 - x^13 - 2*x^11*y*z0 + x^9*y*z0^3 + x^9*z0^4 + 2*x^10*z0^2 + x^8*z0^4 - 2*x^11 + x^9*y*z0 + x^9*z0^2 + 2*x^7*y*z0^3 - x^10 - x^8*z0^2 - x^6*y*z0^3 - 2*x^6*z0^4 + x^9 - x^7*y*z0 - x^7*z0^2 + 2*x^5*y*z0^3 + 2*x^5*z0^4 - 2*x^8 - 2*x^6*y*z0 + x^6*z0^2 + 2*x^4*z0^4 - x^7 + 2*x^5*y*z0 + 2*x^5*z0^2 + x^3*y*z0^3 + 2*x^6 + x^4*y*z0 - x^4*z0^2 + x^2*y*z0^3 - x^2*z0^4 + 2*x^5 + x^3*y*z0 - x^3*z0^2 + 2*x^2*y*z0 + 2*x^2*z0^2 + x^3)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^61*z0^4 + x^58*y^2*z0^4 + x^61*z0^2 + x^59*z0^4 + 2*x^60*z0^2 - x^58*y^2*z0^2 + x^58*z0^4 - x^56*y^2*z0^4 + 2*x^61 - 2*x^57*y^2*z0^2 - x^60 - 2*x^58*y^2 - x^58*z0^2 - x^56*z0^4 + x^57*y^2 - 2*x^57*z0^2 - x^55*z0^4 - 2*x^58 + x^57 + x^55*z0^2 + x^53*z0^4 + 2*x^54*z0^2 + x^52*z0^4 + 2*x^55 - x^54 - x^52*z0^2 - x^50*z0^4 - 2*x^51*z0^2 - x^49*z0^4 - 2*x^52 + x^51 + x^49*z0^2 + x^47*z0^4 + 2*x^48*z0^2 + x^46*z0^4 + 2*x^49 - x^48 - x^46*z0^2 - x^44*z0^4 - 2*x^45*z0^2 - x^43*z0^4 - 2*x^46 + x^45 + x^43*z0^2 + x^41*z0^4 + 2*x^42*z0^2 + 2*x^40*y*z0^3 + 2*x^43 + x^41*z0^2 + x^39*y*z0^3 - x^39*z0^4 - 2*x^42 - 2*x^40*y*z0 + x^38*y*z0^3 + x^39*y^2 + 2*x^39*z0^2 + 2*x^40 + 2*x^38*y*z0 + 2*x^38*z0^2 - 2*x^36*y*z0^3 - 2*x^39 - x^37*y*z0 - 2*x^37*z0^2 - 2*x^35*y*z0^3 + 2*x^38 + 2*x^36*y*z0 - 2*x^36*z0^2 + 2*x^34*y*z0^3 - x^34*z0^4 + 2*x^37 - 2*x^35*y*z0 - 2*x^35*z0^2 - 2*x^33*y*z0^3 + x^33*z0^4 - 2*x^34*y*z0 - 2*x^34*z0^2 - 2*x^32*y*z0^3 + 2*x^32*z0^4 - 2*x^35 + 2*x^33*y*z0 - 2*x^31*z0^4 - 2*x^34 + x^32*y*z0 - x^30*y*z0^3 - 2*x^33 - 2*x^31*y*z0 - 2*x^31*z0^2 - x^29*y*z0^3 + 2*x^29*z0^4 - 2*x^32 + 2*x^30*y*z0 + x^30*z0^2 + x^28*y*z0^3 - x^28*z0^4 + x^29*y*z0 - 2*x^29*z0^2 + 2*x^27*y*z0^3 - x^27*z0^4 + 2*x^30 - 2*x^28*z0^2 + x^26*z0^4 + 2*x^29 + x^27*y*z0 + 2*x^27*z0^2 + x^25*y*z0^3 - 2*x^25*z0^4 - x^26*z0^2 - x^24*y*z0^3 - 2*x^24*z0^4 + x^27 - x^25*y*z0 - 2*x^25*z0^2 + x^23*y*z0^3 - x^23*z0^4 - 2*x^26 - x^24*y*z0 + x^24*z0^2 - x^22*y*z0^3 + 2*x^22*z0^4 - 2*x^23*y*z0 - x^23*z0^2 + x^21*y*z0^3 - x^24 - x^22*y*z0 + x^22*z0^2 - x^20*y*z0^3 + 2*x^20*z0^4 - 2*x^21*y*z0 - x^19*y*z0^3 + x^22 + x^20*y*z0 + 2*x^20*z0^2 + 2*x^18*y*z0^3 + x^18*z0^4 + 2*x^21 + x^19*y*z0 + 2*x^19*z0^2 - x^17*z0^4 - x^18*y*z0 + 2*x^18*z0^2 + x^16*y*z0^3 + 2*x^16*z0^4 + 2*x^19 + x^17*y*z0 - x^18 - 2*x^16*y*z0 - x^16*z0^2 - 2*x^14*y*z0^3 - 2*x^14*z0^4 + x^17 + 2*x^15*y*z0 - 2*x^15*z0^2 + x^13*y*z0^3 - 2*x^13*z0^4 + x^16 - 2*x^14*y*z0 - x^14*z0^2 + 2*x^12*y*z0^3 + 2*x^12*z0^4 + x^15 - 2*x^13*y*z0 - x^13*z0^2 + 2*x^11*y*z0^3 + x^11*z0^4 - 2*x^14 - x^12*y*z0 + 2*x^12*z0^2 + 2*x^10*y*z0^3 + 2*x^10*z0^4 + x^13 + x^11*y*z0 + 2*x^9*y*z0^3 - 2*x^9*z0^4 - x^12 + x^10*y*z0 + x^10*z0^2 - x^8*y*z0^3 - x^8*z0^4 - x^11 + x^9*y*z0 + x^7*y*z0^3 - x^7*z0^4 - 2*x^8*z0^2 - x^9 + x^7*z0^2 - x^8 + 2*x^6*y*z0 + 2*x^6*z0^2 + 2*x^4*y*z0^3 - x^4*z0^4 + x^7 + 2*x^5*y*z0 - x^5*z0^2 + x^3*y*z0^3 + 2*x^3*z0^4 + x^6 + x^4*y*z0 + 2*x^4*z0^2 + 2*x^2*y*z0^3 - 2*x^2*z0^4 - 2*x^5 + 2*x^3*y*z0 - x^3*z0^2 - 2*x^2*y*z0 + 2*x^2*z0^2 + 2*x^3)/y) * dx,
+ ((-2*x^61*z0^3 + x^60*z0^3 + 2*x^58*y^2*z0^3 - 2*x^61*z0 + x^59*z0^3 - x^57*y^2*z0^3 - x^60*z0 + 2*x^58*y^2*z0 - x^56*y^2*z0^3 + x^57*y^2*z0 + 2*x^57*z0^3 + 2*x^55*y^2*z0^3 + 2*x^58*z0 - x^56*z0^3 + 2*x^54*y^2*z0^3 + x^57*z0 - 2*x^54*z0^3 - 2*x^55*z0 + x^53*z0^3 - x^54*z0 + 2*x^51*z0^3 + 2*x^52*z0 - x^50*z0^3 + x^51*z0 - 2*x^48*z0^3 - 2*x^49*z0 + x^47*z0^3 - x^48*z0 + 2*x^45*z0^3 + 2*x^46*z0 - x^44*z0^3 + x^45*z0 - 2*x^42*z0^3 - 2*x^43*z0 - x^41*z0^3 - 2*x^39*y*z0^4 - 2*x^42*z0 - x^40*y*z0^2 + x^40*z0^3 + x^38*y*z0^4 - 2*x^41*z0 + x^39*y^2*z0 - 2*x^39*y*z0^2 + x^39*z0^3 - 2*x^37*y*z0^4 - x^40*y + 2*x^38*y*z0^2 + x^38*z0^3 + x^36*y*z0^4 + x^39*y - x^39*z0 - x^37*y*z0^2 + x^38*y + x^38*z0 - x^36*y*z0^2 + 2*x^36*z0^3 + 2*x^34*y*z0^4 - 2*x^37*y - x^37*z0 - 2*x^35*y*z0^2 + x^35*z0^3 + 2*x^36*y + x^36*z0 - x^34*y*z0^2 - 2*x^34*z0^3 + x^35*z0 + 2*x^33*y*z0^2 - 2*x^33*z0^3 + x^31*y*z0^4 + x^34*y + 2*x^32*z0^3 + 2*x^30*y*z0^4 + 2*x^33*y + 2*x^33*z0 + x^31*y*z0^2 + x^29*y*z0^4 - x^32*y - 2*x^32*z0 - 2*x^30*y*z0^2 - 2*x^30*z0^3 + 2*x^28*y*z0^4 + x^31*z0 + 2*x^29*y*z0^2 + x^30*y - x^30*z0 - 2*x^28*y*z0^2 - 2*x^26*y*z0^4 - 2*x^29*y + x^29*z0 + x^27*y*z0^2 + x^27*z0^3 - x^25*y*z0^4 + x^28*y + 2*x^28*z0 - 2*x^26*z0^3 - 2*x^24*y*z0^4 - x^27*y - 2*x^27*z0 + x^25*z0^3 - 2*x^23*y*z0^4 + x^26*y + 2*x^26*z0 - 2*x^24*y*z0^2 - x^24*z0^3 - 2*x^22*y*z0^4 - x^25*y - 2*x^25*z0 - x^23*y*z0^2 + 2*x^23*z0^3 - 2*x^21*y*z0^4 - x^24*y - x^24*z0 - x^22*y*z0^2 + 2*x^22*z0^3 - x^23*y + x^23*z0 - 2*x^21*z0^3 - x^19*y*z0^4 + x^22*y - 2*x^22*z0 - x^20*y*z0^2 + x^20*z0^3 + 2*x^18*y*z0^4 + 2*x^21*y + 2*x^19*y*z0^2 - 2*x^19*z0^3 + x^17*y*z0^4 + x^20*y + x^18*y*z0^2 - 2*x^18*z0^3 - x^16*y*z0^4 + x^19*y + x^17*y*z0^2 - 2*x^17*z0^3 - 2*x^15*y*z0^4 + x^18*y - 2*x^18*z0 + x^16*z0^3 - x^14*y*z0^4 + 2*x^17*z0 + x^15*z0^3 - x^13*y*z0^4 + 2*x^16*y + x^16*z0 + x^14*y*z0^2 - x^14*z0^3 + x^12*y*z0^4 - x^13*y*z0^2 - 2*x^13*z0^3 + 2*x^11*y*z0^4 - x^14*y + x^14*z0 - x^12*y*z0^2 - x^12*z0^3 + 2*x^13*z0 - 2*x^11*z0^3 - x^9*y*z0^4 - x^12*y - x^10*y*z0^2 + x^10*z0^3 + 2*x^8*y*z0^4 + 2*x^11*y - x^11*z0 + 2*x^9*y*z0^2 + x^9*z0^3 + 2*x^7*y*z0^4 - x^10*y + 2*x^10*z0 + 2*x^8*z0^3 + x^6*y*z0^4 - x^9*y - x^9*z0 - x^7*y*z0^2 - 2*x^7*z0^3 - x^5*y*z0^4 + 2*x^8*z0 + x^6*y*z0^2 - 2*x^7*y + 2*x^7*z0 + x^5*y*z0^2 + 2*x^5*z0^3 + 2*x^6*y - 2*x^4*z0^3 - 2*x^2*y*z0^4 + 2*x^3*y*z0^2 - 2*x^3*z0^3 + 2*x^4*y - 2*x^4*z0 + 2*x^2*y*z0^2 - 2*x^3*y - x^3*z0 - x^2*y - x^2*z0)/y) * dx,
+ ((2*x^61*z0^2 - 2*x^59*z0^4 + 2*x^60*z0^2 - 2*x^58*y^2*z0^2 + 2*x^56*y^2*z0^4 + x^61 - 2*x^57*y^2*z0^2 + 2*x^60 - x^58*y^2 - 2*x^58*z0^2 + 2*x^56*z0^4 - 2*x^57*y^2 - 2*x^57*z0^2 - x^58 - 2*x^57 + 2*x^55*z0^2 - 2*x^53*z0^4 + 2*x^54*z0^2 + x^55 + 2*x^54 - 2*x^52*z0^2 + 2*x^50*z0^4 - 2*x^51*z0^2 - x^52 - 2*x^51 + 2*x^49*z0^2 - 2*x^47*z0^4 + 2*x^48*z0^2 + x^49 + 2*x^48 - 2*x^46*z0^2 + 2*x^44*z0^4 - 2*x^45*z0^2 - x^46 - 2*x^45 + 2*x^43*z0^2 + x^41*z0^4 + x^42*z0^2 - 2*x^40*z0^4 + x^43 + 2*x^41*z0^2 + x^39*y^2*z0^2 + 2*x^39*y*z0^3 - x^39*z0^4 + 2*x^42 + x^40*y*z0 - x^38*y*z0^3 + x^38*z0^4 - 2*x^41 + x^39*y*z0 + 2*x^39*z0^2 + 2*x^37*y*z0^3 - 2*x^38*y*z0 - x^38*z0^2 + x^36*y*z0^3 - 2*x^36*z0^4 - 2*x^37*z0^2 - x^35*y*z0^3 + 2*x^38 - x^36*y*z0 - 2*x^36*z0^2 + 2*x^34*y*z0^3 + 2*x^34*z0^4 - x^37 + 2*x^35*y*z0 - x^33*y*z0^3 - 2*x^33*z0^4 - x^36 - x^34*y*z0 - 2*x^34*z0^2 + x^32*y*z0^3 + x^35 + 2*x^31*y*z0^3 - 2*x^31*z0^4 - 2*x^34 - 2*x^32*y*z0 + x^32*z0^2 + x^30*y*z0^3 - 2*x^30*z0^4 - x^33 - 2*x^31*y*z0 + x^29*y*z0^3 - 2*x^29*z0^4 + 2*x^32 + x^30*y*z0 + 2*x^30*z0^2 - x^28*y*z0^3 - x^28*z0^4 - 2*x^31 + x^29*y*z0 - 2*x^29*z0^2 - x^27*z0^4 - 2*x^30 + 2*x^28*y*z0 - 2*x^28*z0^2 + 2*x^26*y*z0^3 - 2*x^26*z0^4 - 2*x^29 - x^27*y*z0 - 2*x^27*z0^2 - x^25*y*z0^3 + 2*x^25*z0^4 - x^28 - 2*x^26*y*z0 - 2*x^26*z0^2 - x^24*y*z0^3 - x^24*z0^4 - x^27 - 2*x^25*y*z0 + 2*x^25*z0^2 + x^23*y*z0^3 - 2*x^23*z0^4 + 2*x^26 + 2*x^24*y*z0 - 2*x^24*z0^2 + 2*x^22*z0^4 - x^25 + 2*x^23*y*z0 + 2*x^21*y*z0^3 - x^21*z0^4 + x^24 - 2*x^22*y*z0 + x^22*z0^2 - x^20*y*z0^3 - x^20*z0^4 + 2*x^21*y*z0 + 2*x^21*z0^2 - x^19*z0^4 + 2*x^22 + x^20*y*z0 + x^20*z0^2 + 2*x^18*z0^4 - x^21 + x^19*y*z0 - 2*x^19*z0^2 + 2*x^17*y*z0^3 - x^17*z0^4 - 2*x^20 - x^18*y*z0 - x^16*y*z0^3 - x^19 - 2*x^17*y*z0 - x^15*y*z0^3 + x^15*z0^4 + x^18 - 2*x^16*z0^2 + x^14*y*z0^3 + 2*x^14*z0^4 - x^17 + x^15*y*z0 + x^15*z0^2 - 2*x^13*y*z0^3 + 2*x^13*z0^4 + 2*x^16 + x^14*y*z0 + x^14*z0^2 - 2*x^12*z0^4 - 2*x^13*y*z0 - 2*x^13*z0^2 + 2*x^11*z0^4 + 2*x^14 + x^12*y*z0 + 2*x^12*z0^2 - x^10*y*z0^3 + 2*x^10*z0^4 + 2*x^13 + x^11*y*z0 - x^11*z0^2 + 2*x^9*y*z0^3 - 2*x^12 - x^8*y*z0^3 - x^8*z0^4 - 2*x^11 + 2*x^9*z0^2 + x^7*y*z0^3 - 2*x^7*z0^4 + 2*x^10 - 2*x^8*y*z0 - 2*x^8*z0^2 + 2*x^6*y*z0^3 - x^9 - x^7*y*z0 - x^7*z0^2 - 2*x^5*z0^4 + 2*x^6*y*z0 + x^6*z0^2 - 2*x^4*y*z0^3 + 2*x^4*z0^4 + 2*x^7 + x^5*z0^2 - 2*x^3*y*z0^3 + x^3*z0^4 + x^6 - 2*x^4*y*z0 - x^4*z0^2 + 2*x^2*y*z0^3 + 2*x^2*z0^4 + 2*x^5 - 2*x^3*y*z0 - x^3*z0^2 + x^2*z0^2 + 2*x^3)/y) * dx,
+ ((-2*x^60*z0^3 - 2*x^59*z0^3 + 2*x^57*y^2*z0^3 - x^58*z0^3 + 2*x^56*y^2*z0^3 + 2*x^59*z0 + 2*x^57*z0^3 + x^55*y^2*z0^3 - 2*x^56*y^2*z0 + 2*x^56*z0^3 + x^55*z0^3 - 2*x^56*z0 - 2*x^54*z0^3 - 2*x^53*z0^3 - x^52*z0^3 + 2*x^53*z0 + 2*x^51*z0^3 + 2*x^50*z0^3 + x^49*z0^3 - 2*x^50*z0 - 2*x^48*z0^3 - 2*x^47*z0^3 - x^46*z0^3 + 2*x^47*z0 + 2*x^45*z0^3 + 2*x^44*z0^3 + x^43*z0^3 - 2*x^44*z0 + 2*x^42*z0^3 - 2*x^41*z0^3 + x^39*y^2*z0^3 + x^38*y*z0^4 + 2*x^41*z0 + x^39*z0^3 - 2*x^40*z0 + x^36*y*z0^4 - x^39*y - x^39*z0 + x^37*y*z0^2 + x^37*z0^3 - 2*x^35*y*z0^4 - 2*x^38*y - x^36*y*z0^2 - 2*x^36*z0^3 + x^35*y*z0^2 - 2*x^35*z0^3 - x^33*y*z0^4 + x^36*y + 2*x^36*z0 - 2*x^34*y*z0^2 + x^34*z0^3 + 2*x^32*y*z0^4 - x^35*z0 - 2*x^33*y*z0^2 + x^33*z0^3 - 2*x^31*y*z0^4 + x^34*y + x^34*z0 - 2*x^32*y*z0^2 - 2*x^32*z0^3 - 2*x^30*y*z0^4 + x^33*y + 2*x^33*z0 + 2*x^31*y*z0^2 + 2*x^31*z0^3 + 2*x^29*y*z0^4 - x^32*y + 2*x^32*z0 - x^30*z0^3 - x^28*y*z0^4 - 2*x^31*z0 - x^29*y*z0^2 - 2*x^29*z0^3 + 2*x^27*y*z0^4 - 2*x^30*z0 - 2*x^26*y*z0^4 - x^29*y - x^27*y*z0^2 - 2*x^27*z0^3 + 2*x^25*y*z0^4 + x^28*y + 2*x^28*z0 - 2*x^26*y*z0^2 + x^26*z0^3 + 2*x^24*y*z0^4 - 2*x^27*z0 + 2*x^25*y*z0^2 - 2*x^25*z0^3 - x^23*y*z0^4 + x^26*y - 2*x^26*z0 - x^24*y*z0^2 + x^24*z0^3 - x^22*y*z0^4 + x^25*y + x^23*y*z0^2 + x^23*z0^3 - x^21*y*z0^4 + 2*x^24*y - x^24*z0 - x^22*y*z0^2 - 2*x^23*y - 2*x^23*z0 - 2*x^21*y*z0^2 + 2*x^21*z0^3 + 2*x^19*y*z0^4 + x^20*y*z0^2 - 2*x^20*z0^3 - 2*x^18*y*z0^4 + x^19*y*z0^2 + x^19*z0^3 - 2*x^17*y*z0^4 - 2*x^20*z0 + x^18*y*z0^2 + 2*x^16*y*z0^4 + 2*x^19*z0 - 2*x^17*y*z0^2 - x^17*z0^3 - 2*x^15*y*z0^4 - x^18*y - x^18*z0 - 2*x^16*z0^3 + x^14*y*z0^4 - 2*x^17*z0 + 2*x^15*y*z0^2 - x^15*z0^3 + 2*x^13*y*z0^4 + 2*x^16*y - 2*x^16*z0 + x^14*y*z0^2 + x^12*y*z0^4 + 2*x^15*y + x^15*z0 - x^13*z0^3 + 2*x^11*y*z0^4 + 2*x^14*y + x^14*z0 - x^12*y*z0^2 - 2*x^12*z0^3 - 2*x^10*y*z0^4 + 2*x^13*y + x^13*z0 + x^9*y*z0^4 + 2*x^12*y - x^12*z0 + x^10*y*z0^2 - 2*x^11*y - 2*x^9*y*z0^2 + 2*x^9*z0^3 + x^7*y*z0^4 + 2*x^10*y - 2*x^10*z0 - 2*x^8*z0^3 - x^9*y - x^9*z0 - 2*x^7*y*z0^2 - 2*x^8*z0 - 2*x^6*y*z0^2 - 2*x^6*z0^3 + 2*x^4*y*z0^4 + 2*x^7*y + 2*x^7*z0 + 2*x^5*y*z0^2 + 2*x^4*z0^3 + x^2*y*z0^4 + 2*x^5*y - x^5*z0 - 2*x^4*y - x^4*z0 - 2*x^2*y*z0^2 + x^2*z0^3 - x^3*y - x^3*z0 + x^2*y)/y) * dx,
+ ((-2*x^61*z0^4 + x^60*z0^4 + 2*x^58*y^2*z0^4 - x^61*z0^2 + 2*x^59*z0^4 - x^57*y^2*z0^4 - 2*x^60*z0^2 + x^58*y^2*z0^2 + 2*x^58*z0^4 - 2*x^56*y^2*z0^4 + 2*x^61 + 2*x^57*y^2*z0^2 - x^57*z0^4 - 2*x^58*y^2 + x^58*z0^2 - 2*x^56*z0^4 + 2*x^57*z0^2 - 2*x^55*z0^4 - 2*x^58 + x^54*z0^4 - x^55*z0^2 + 2*x^53*z0^4 - 2*x^54*z0^2 + 2*x^52*z0^4 + 2*x^55 - x^51*z0^4 + x^52*z0^2 - 2*x^50*z0^4 + 2*x^51*z0^2 - 2*x^49*z0^4 - 2*x^52 + x^48*z0^4 - x^49*z0^2 + 2*x^47*z0^4 - 2*x^48*z0^2 + 2*x^46*z0^4 + 2*x^49 - x^45*z0^4 + x^46*z0^2 - 2*x^44*z0^4 + 2*x^45*z0^2 - 2*x^43*z0^4 - 2*x^46 - x^43*z0^2 + x^41*z0^4 + x^39*y^2*z0^4 - 2*x^42*z0^2 - x^40*y*z0^3 + x^40*z0^4 + 2*x^43 - x^41*z0^2 - x^39*y*z0^3 - x^39*z0^4 + 2*x^40*y*z0 + 2*x^40*z0^2 - 2*x^38*y*z0^3 - 2*x^38*z0^4 - x^41 + x^39*y*z0 - 2*x^39*z0^2 - x^37*y*z0^3 + x^40 + x^38*y*z0 - 2*x^38*z0^2 + 2*x^36*y*z0^3 + 2*x^36*z0^4 + 2*x^37*z0^2 - x^35*y*z0^3 + 2*x^38 + 2*x^36*z0^2 - 2*x^34*y*z0^3 - 2*x^34*z0^4 - x^37 - 2*x^35*y*z0 - x^33*y*z0^3 - x^33*z0^4 - x^36 + x^34*y*z0 + 2*x^34*z0^2 - x^32*y*z0^3 + x^32*z0^4 + x^33*y*z0 - x^33*z0^2 - x^31*y*z0^3 + x^31*z0^4 - x^34 - 2*x^32*y*z0 - x^32*z0^2 + x^30*y*z0^3 - x^30*z0^4 + 2*x^31*y*z0 - x^31*z0^2 + x^32 + x^30*y*z0 + 2*x^30*z0^2 + x^28*y*z0^3 + x^28*z0^4 - 2*x^29*y*z0 + 2*x^27*y*z0^3 + 2*x^27*z0^4 - 2*x^30 + 2*x^28*z0^2 + x^26*y*z0^3 - 2*x^26*z0^4 - 2*x^27*z0^2 + 2*x^25*y*z0^3 + x^28 + 2*x^26*y*z0 + x^26*z0^2 + x^24*y*z0^3 + x^24*z0^4 + 2*x^27 + x^25*y*z0 - x^25*z0^2 + 2*x^23*y*z0^3 + x^26 - x^24*y*z0 + 2*x^24*z0^2 - x^22*y*z0^3 + x^25 - 2*x^23*y*z0 - 2*x^23*z0^2 - 2*x^21*y*z0^3 + x^21*z0^4 - x^24 + x^22*y*z0 - x^22*z0^2 + x^20*z0^4 - 2*x^23 - 2*x^21*z0^2 + x^22 + 2*x^20*y*z0 - x^20*z0^2 + 2*x^18*y*z0^3 + x^21 - x^19*y*z0 + 2*x^17*y*z0^3 + 2*x^17*z0^4 - x^20 - 2*x^18*y*z0 + 2*x^18*z0^2 + x^16*y*z0^3 + x^16*z0^4 - 2*x^19 + x^17*y*z0 - x^17*z0^2 + 2*x^15*y*z0^3 - x^18 - x^16*y*z0 + 2*x^16*z0^2 + 2*x^14*y*z0^3 - x^14*z0^4 - 2*x^17 - x^15*y*z0 - 2*x^15*z0^2 + 2*x^13*y*z0^3 + 2*x^16 - 2*x^14*y*z0 + x^14*z0^2 - 2*x^12*y*z0^3 + x^12*z0^4 - x^15 - x^13*y*z0 - x^11*y*z0^3 - x^11*z0^4 - 2*x^14 - 2*x^12*y*z0 + 2*x^12*z0^2 - x^11*y*z0 - x^11*z0^2 + x^9*y*z0^3 + x^9*z0^4 + 2*x^12 + x^10*y*z0 + x^10*z0^2 + 2*x^8*z0^4 - x^11 - 2*x^9*y*z0 - 2*x^9*z0^2 - x^7*y*z0^3 - x^7*z0^4 + 2*x^8*y*z0 - x^8*z0^2 + 2*x^6*y*z0^3 - 2*x^9 - x^7*y*z0 + x^7*z0^2 + x^5*z0^4 - x^8 + x^6*y*z0 - x^4*z0^4 - 2*x^7 - 2*x^5*y*z0 - 2*x^5*z0^2 - 2*x^3*y*z0^3 + x^6 - 2*x^4*y*z0 + x^4*z0^2 + x^2*y*z0^3 - 2*x^2*z0^4 - 2*x^5 - 2*x^3*y*z0 - 2*x^3*z0^2 + x^2*y*z0 + 2*x^2)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((2*x^61*z0^4 - 2*x^60*z0^4 - 2*x^58*y^2*z0^4 - 2*x^61*z0^2 + x^59*z0^4 + 2*x^57*y^2*z0^4 - x^60*z0^2 + 2*x^58*y^2*z0^2 - 2*x^58*z0^4 - x^56*y^2*z0^4 - x^61 + x^57*y^2*z0^2 + 2*x^57*z0^4 + x^60 + x^58*y^2 + 2*x^58*z0^2 - x^56*z0^4 - x^57*y^2 + x^57*z0^2 + 2*x^55*z0^4 + x^58 - 2*x^54*z0^4 - x^57 - 2*x^55*z0^2 + x^53*z0^4 - x^54*z0^2 - 2*x^52*z0^4 - x^55 + 2*x^51*z0^4 + x^54 + 2*x^52*z0^2 - x^50*z0^4 + x^51*z0^2 + 2*x^49*z0^4 + x^52 - 2*x^48*z0^4 - x^51 - 2*x^49*z0^2 + x^47*z0^4 - x^48*z0^2 - 2*x^46*z0^4 - x^49 + 2*x^45*z0^4 + x^48 + 2*x^46*z0^2 - x^44*z0^4 + x^45*z0^2 + 2*x^43*z0^4 + x^46 - 2*x^42*z0^4 - x^45 - 2*x^43*z0^2 - x^42*z0^2 + x^40*y*z0^3 - 2*x^43 - 2*x^41*z0^2 - 2*x^39*y*z0^3 + x^42 + x^40*y^2 - x^40*y*z0 - x^40*z0^2 - 2*x^38*y*z0^3 - 2*x^38*z0^4 - x^41 + 2*x^39*y*z0 - 2*x^39*z0^2 - 2*x^37*y*z0^3 - x^37*z0^4 + x^40 - 2*x^38*y*z0 + x^38*z0^2 - x^36*y*z0^3 + 2*x^36*z0^4 + x^39 + x^37*y*z0 - x^37*z0^2 + x^35*y*z0^3 - 2*x^35*z0^4 + 2*x^36*y*z0 + 2*x^36*z0^2 - x^34*y*z0^3 + 2*x^34*z0^4 + 2*x^37 - 2*x^35*y*z0 - 2*x^35*z0^2 - x^33*z0^4 + 2*x^36 - x^34*y*z0 - 2*x^34*z0^2 - 2*x^32*y*z0^3 + x^32*z0^4 - x^35 - x^33*z0^2 + 2*x^31*y*z0^3 - x^31*z0^4 + 2*x^34 + 2*x^32*y*z0 + x^32*z0^2 - 2*x^30*y*z0^3 - x^31*y*z0 - 2*x^31*z0^2 - 2*x^29*y*z0^3 - 2*x^29*z0^4 + x^32 + x^30*y*z0 - x^30*z0^2 - x^28*y*z0^3 - 2*x^31 + 2*x^29*y*z0 + x^29*z0^2 + x^27*y*z0^3 - 2*x^30 + x^28*y*z0 + 2*x^28*z0^2 - 2*x^26*y*z0^3 + x^26*z0^4 - 2*x^27*z0^2 - 2*x^25*y*z0^3 - 2*x^25*z0^4 + 2*x^26*z0^2 - 2*x^24*y*z0^3 + x^24*z0^4 + 2*x^27 - 2*x^25*y*z0 - 2*x^25*z0^2 + 2*x^23*y*z0^3 + x^23*z0^4 - x^24*y*z0 + 2*x^24*z0^2 + x^22*y*z0^3 + x^22*z0^4 - 2*x^25 - 2*x^23*y*z0 - 2*x^21*z0^4 - 2*x^24 - x^22*y*z0 - x^20*y*z0^3 - x^20*z0^4 + 2*x^23 - x^21*y*z0 + x^21*z0^2 + x^22 + x^20*y*z0 + 2*x^20*z0^2 - 2*x^18*y*z0^3 - 2*x^18*z0^4 + x^21 - 2*x^19*y*z0 + x^19*z0^2 - 2*x^17*y*z0^3 + 2*x^18*y*z0 - 2*x^18*z0^2 + x^16*y*z0^3 + x^16*z0^4 - x^19 - 2*x^17*y*z0 + x^17*z0^2 + x^15*z0^4 + 2*x^18 + 2*x^16*y*z0 - 2*x^14*y*z0^3 + 2*x^14*z0^4 - x^17 + 2*x^15*y*z0 - 2*x^15*z0^2 + 2*x^13*z0^4 - 2*x^16 + 2*x^14*y*z0 - 2*x^14*z0^2 - x^12*z0^4 + 2*x^15 - x^13*y*z0 + 2*x^13*z0^2 - 2*x^11*z0^4 + x^14 + x^12*y*z0 + 2*x^10*y*z0^3 - x^10*z0^4 - x^13 + 2*x^11*y*z0 + x^11*z0^2 + x^9*y*z0^3 - 2*x^9*z0^4 + 2*x^12 - 2*x^10*z0^2 + x^8*z0^4 - 2*x^11 - x^9*y*z0 - x^9*z0^2 - x^7*y*z0^3 + 2*x^7*z0^4 - 2*x^10 + 2*x^8*y*z0 - x^8*z0^2 - 2*x^6*y*z0^3 - x^6*z0^4 - 2*x^9 - x^7*y*z0 + x^7*z0^2 + x^5*y*z0^3 - x^5*z0^4 - 2*x^8 - 2*x^6*y*z0 - 2*x^6*z0^2 + x^4*y*z0^3 - x^4*z0^4 - x^5*y*z0 + x^5*z0^2 + 2*x^3*y*z0^3 + x^6 + x^4*y*z0 - 2*x^4*z0^2 - x^2*y*z0^3 + 2*x^2*z0^4 - x^5 + x^3*y*z0 - 2*x^3*z0^2 + x^2*y*z0 + x^2*z0^2 - 2*x^3 + 2*x^2)/y) * dx,
+ ((-2*x^61*z0^3 + x^60*z0^3 + 2*x^58*y^2*z0^3 - 2*x^61*z0 + 2*x^59*z0^3 - x^57*y^2*z0^3 + 2*x^60*z0 + 2*x^58*y^2*z0 - 2*x^56*y^2*z0^3 - 2*x^59*z0 - 2*x^57*y^2*z0 - x^57*z0^3 + 2*x^55*y^2*z0^3 + 2*x^58*z0 + 2*x^56*y^2*z0 - 2*x^56*z0^3 - 2*x^57*z0 + 2*x^56*z0 + x^54*z0^3 - 2*x^55*z0 + 2*x^53*z0^3 + 2*x^54*z0 - 2*x^53*z0 - x^51*z0^3 + 2*x^52*z0 - 2*x^50*z0^3 - 2*x^51*z0 + 2*x^50*z0 + x^48*z0^3 - 2*x^49*z0 + 2*x^47*z0^3 + 2*x^48*z0 - 2*x^47*z0 - x^45*z0^3 + 2*x^46*z0 - 2*x^44*z0^3 - 2*x^45*z0 + 2*x^44*z0 + x^42*z0^3 + 2*x^43*z0 - 2*x^39*y*z0^4 + 2*x^42*z0 + x^40*y^2*z0 - x^40*y*z0^2 + x^41*z0 - 2*x^39*y*z0^2 - 2*x^39*z0^3 + 2*x^37*y*z0^4 - x^40*y + 2*x^40*z0 - 2*x^38*y*z0^2 + x^38*z0^3 - 2*x^36*y*z0^4 + x^39*y + x^39*z0 + x^37*z0^3 - 2*x^35*y*z0^4 - 2*x^38*y + x^38*z0 - 2*x^36*z0^3 - x^34*y*z0^4 - 2*x^37*y + 2*x^37*z0 + x^33*y*z0^4 + x^36*y - 2*x^36*z0 - x^34*y*z0^2 - 2*x^34*z0^3 + 2*x^32*y*z0^4 + 2*x^35*y - 2*x^35*z0 + 2*x^33*z0^3 + x^31*y*z0^4 + 2*x^34*y - x^34*z0 - x^32*z0^3 - x^30*y*z0^4 + x^33*y - 2*x^33*z0 - x^31*y*z0^2 + 2*x^29*y*z0^4 - x^32*y + x^30*y*z0^2 + 2*x^30*z0^3 - x^31*y + x^31*z0 + 2*x^29*y*z0^2 - 2*x^29*z0^3 - 2*x^27*y*z0^4 - x^30*z0 + 2*x^28*y*z0^2 + 2*x^28*z0^3 + x^26*y*z0^4 + 2*x^29*z0 + 2*x^27*y*z0^2 + 2*x^27*z0^3 - x^25*y*z0^4 - 2*x^28*y + x^28*z0 - x^26*y*z0^2 - x^26*z0^3 + x^24*y*z0^4 + 2*x^27*y + 2*x^27*z0 - 2*x^25*y*z0^2 - x^25*z0^3 - 2*x^23*y*z0^4 + 2*x^26*z0 - x^24*z0^3 + 2*x^22*y*z0^4 - 2*x^25*y - x^23*z0^3 - 2*x^21*y*z0^4 - 2*x^24*y + x^24*z0 + x^22*y*z0^2 + x^22*z0^3 - 2*x^20*y*z0^4 + x^23*y - 2*x^23*z0 + x^21*y*z0^2 + x^21*z0^3 + x^19*y*z0^4 - 2*x^20*y*z0^2 - x^20*z0^3 - 2*x^18*y*z0^4 + x^21*y - x^21*z0 - 2*x^19*y*z0^2 + 2*x^19*z0^3 - 2*x^17*y*z0^4 + x^20*y + x^20*z0 - 2*x^18*y*z0^2 - x^16*y*z0^4 - 2*x^19*y - 2*x^19*z0 + 2*x^17*y*z0^2 - 2*x^17*z0^3 + x^15*y*z0^4 + x^18*z0 - 2*x^16*y*z0^2 + 2*x^14*y*z0^4 - x^17*y - x^17*z0 - x^15*y*z0^2 - 2*x^15*z0^3 + x^13*y*z0^4 - x^16*y - x^14*y*z0^2 + 2*x^14*z0^3 - x^15*y - x^15*z0 + 2*x^13*y*z0^2 + 2*x^13*z0^3 - x^11*y*z0^4 + 2*x^14*y - 2*x^14*z0 + 2*x^13*y + 2*x^13*z0 - x^11*z0^3 - x^9*y*z0^4 - x^12*y - x^12*z0 + x^10*y*z0^2 + 2*x^8*y*z0^4 + 2*x^11*y - 2*x^11*z0 - 2*x^9*y*z0^2 + x^9*z0^3 + 2*x^7*y*z0^4 + x^10*y - 2*x^10*z0 - x^8*y*z0^2 + x^8*z0^3 + 2*x^6*y*z0^4 + 2*x^9*y + x^9*z0 - 2*x^7*y*z0^2 + 2*x^7*z0^3 + 2*x^5*y*z0^4 + 2*x^8*y - x^6*z0^3 - 2*x^7*z0 + 2*x^5*y*z0^2 - x^5*z0^3 + x^3*y*z0^4 + x^6*y - x^6*z0 - 2*x^4*y*z0^2 - 2*x^4*z0^3 + x^2*y*z0^4 + 2*x^5*y + 2*x^5*z0 - 2*x^3*y*z0^2 - x^3*z0^3 - 2*x^4*y + x^4*z0 + x^2*z0^3 + x^3*y - x^3*z0 + 2*x^2*z0)/y) * dx,
+ ((-2*x^61*z0^4 + x^60*z0^4 + 2*x^58*y^2*z0^4 - 2*x^59*z0^4 - x^57*y^2*z0^4 - 2*x^60*z0^2 + 2*x^58*z0^4 + 2*x^56*y^2*z0^4 + 2*x^57*y^2*z0^2 - x^57*z0^4 + x^60 + 2*x^56*z0^4 - x^57*y^2 + 2*x^57*z0^2 - 2*x^55*z0^4 + x^54*z0^4 - x^57 - 2*x^53*z0^4 - 2*x^54*z0^2 + 2*x^52*z0^4 - x^51*z0^4 + x^54 + 2*x^50*z0^4 + 2*x^51*z0^2 - 2*x^49*z0^4 + x^48*z0^4 - x^51 - 2*x^47*z0^4 - 2*x^48*z0^2 + 2*x^46*z0^4 - x^45*z0^4 + x^48 + 2*x^44*z0^4 + 2*x^45*z0^2 - 2*x^43*z0^4 + x^42*z0^4 - x^45 - x^43*z0^2 + x^41*z0^4 - 2*x^42*z0^2 + x^40*y^2*z0^2 - x^40*y*z0^3 + 2*x^40*z0^4 - x^39*z0^4 + x^42 + x^40*z0^2 - 2*x^38*y*z0^3 + x^38*z0^4 - 2*x^41 - x^39*y*z0 + 2*x^39*z0^2 + x^37*y*z0^3 - 2*x^37*z0^4 - 2*x^40 + 2*x^38*y*z0 - x^36*z0^4 - x^39 - x^37*y*z0 - x^37*z0^2 + x^35*y*z0^3 + 2*x^35*z0^4 + 2*x^38 + x^36*y*z0 - 2*x^36*z0^2 - 2*x^34*y*z0^3 + 2*x^34*z0^4 - 2*x^37 - x^35*y*z0 - 2*x^35*z0^2 - 2*x^33*y*z0^3 - 2*x^33*z0^4 + x^34*y*z0 - x^34*z0^2 - 2*x^32*y*z0^3 - 2*x^33*y*z0 - x^33*z0^2 + 2*x^31*y*z0^3 + 2*x^31*z0^4 - x^34 - 2*x^32*y*z0 + 2*x^32*z0^2 - 2*x^30*y*z0^3 + 2*x^30*z0^4 + 2*x^33 + x^31*y*z0 + 2*x^31*z0^2 - x^29*y*z0^3 + x^32 + x^30*y*z0 - x^30*z0^2 - x^28*y*z0^3 + x^28*z0^4 + 2*x^31 + x^29*y*z0 + x^29*z0^2 - 2*x^27*y*z0^3 - 2*x^27*z0^4 + 2*x^30 - 2*x^28*y*z0 - x^28*z0^2 - 2*x^26*y*z0^3 + x^26*z0^4 + x^29 - x^27*y*z0 - 2*x^27*z0^2 - x^25*z0^4 - 2*x^28 - x^26*y*z0 + x^26*z0^2 + x^24*y*z0^3 + 2*x^24*z0^4 - x^25*y*z0 - 2*x^25*z0^2 + x^23*y*z0^3 + x^23*z0^4 - x^26 + 2*x^24*y*z0 + 2*x^24*z0^2 + 2*x^22*z0^4 - 2*x^25 + x^23*y*z0 + 2*x^21*y*z0^3 - 2*x^21*z0^4 - x^24 + 2*x^22*y*z0 - x^22*z0^2 - 2*x^20*y*z0^3 + 2*x^20*z0^4 + 2*x^23 + x^21*y*z0 + 2*x^21*z0^2 - 2*x^19*z0^4 - 2*x^22 + x^20*y*z0 + 2*x^20*z0^2 + 2*x^18*y*z0^3 - x^19*y*z0 + 2*x^19*z0^2 - 2*x^17*y*z0^3 + x^17*z0^4 - x^20 - x^18*y*z0 + 2*x^16*z0^4 - 2*x^19 - x^15*y*z0^3 + x^15*z0^4 - 2*x^18 - 2*x^16*y*z0 - 2*x^14*y*z0^3 - 2*x^14*z0^4 - x^17 + 2*x^15*z0^2 + x^13*y*z0^3 - 2*x^13*z0^4 - 2*x^16 - 2*x^14*y*z0 + x^14*z0^2 + 2*x^12*y*z0^3 + x^12*z0^4 + x^15 + 2*x^13*y*z0 - 2*x^13*z0^2 + x^11*y*z0^3 - x^11*z0^4 - x^14 + x^12*y*z0 - 2*x^12*z0^2 - x^10*y*z0^3 - 2*x^10*z0^4 + x^13 + x^11*y*z0 - x^11*z0^2 - 2*x^9*y*z0^3 - 2*x^9*z0^4 + x^10*y*z0 - x^10*z0^2 + x^8*y*z0^3 - x^8*z0^4 - x^11 + x^9*y*z0 + 2*x^9*z0^2 - 2*x^7*y*z0^3 + 2*x^8*y*z0 - 2*x^6*y*z0^3 + x^6*z0^4 - x^9 - x^7*y*z0 + 2*x^7*z0^2 - x^5*y*z0^3 - 2*x^5*z0^4 + x^8 + x^6*y*z0 + 2*x^4*y*z0^3 - 2*x^4*z0^4 + x^7 - 2*x^5*y*z0 - 2*x^5*z0^2 + x^3*z0^4 + 2*x^6 - x^4*y*z0 - x^4*z0^2 + x^2*z0^4 - 2*x^5 - 2*x^3*y*z0 - 2*x^3*z0^2 + x^2*y*z0 + x^2*z0^2 - x^3 + 2*x^2)/y) * dx,
+ ((x^61*z0^3 - x^58*y^2*z0^3 + x^59*z0^3 + 2*x^60*z0 - 2*x^58*z0^3 - x^56*y^2*z0^3 - x^59*z0 - 2*x^57*y^2*z0 + x^55*y^2*z0^3 + x^56*y^2*z0 - x^56*z0^3 - 2*x^57*z0 + 2*x^55*z0^3 + x^56*z0 + x^53*z0^3 + 2*x^54*z0 - 2*x^52*z0^3 - x^53*z0 - x^50*z0^3 - 2*x^51*z0 + 2*x^49*z0^3 + x^50*z0 + x^47*z0^3 + 2*x^48*z0 - 2*x^46*z0^3 - x^47*z0 - x^44*z0^3 - 2*x^45*z0 + x^43*z0^3 + x^44*z0 + x^40*y^2*z0^3 + 2*x^41*z0^3 + x^39*y*z0^4 + 2*x^42*z0 - 2*x^40*y*z0^2 - 2*x^40*z0^3 + x^38*y*z0^4 - x^41*z0 + x^37*y*z0^4 - x^40*z0 + 2*x^38*y*z0^2 + 2*x^38*z0^3 + x^39*y + x^39*z0 + 2*x^37*y*z0^2 - 2*x^37*z0^3 - 2*x^36*y*z0^2 - 2*x^36*z0^3 - x^34*y*z0^4 + 2*x^37*z0 + 2*x^35*y*z0^2 - 2*x^35*z0^3 + x^33*y*z0^4 - 2*x^36*y + x^36*z0 - 2*x^34*y*z0^2 - x^34*z0^3 - x^35*y + 2*x^35*z0 - x^33*y*z0^2 - 2*x^33*z0^3 - x^34*z0 - x^32*z0^3 - x^30*y*z0^4 - 2*x^33*y + 2*x^33*z0 - 2*x^31*y*z0^2 + 2*x^31*z0^3 - 2*x^29*y*z0^4 + x^32*y - 2*x^32*z0 + 2*x^30*y*z0^2 + x^28*y*z0^4 + x^31*y - x^31*z0 - 2*x^29*y*z0^2 + 2*x^29*z0^3 - 2*x^30*y + 2*x^30*z0 - x^26*y*z0^4 - x^29*y + 2*x^29*z0 + x^27*y*z0^2 - x^27*z0^3 + 2*x^25*y*z0^4 - 2*x^28*y + 2*x^26*y*z0^2 + 2*x^24*y*z0^4 + x^27*z0 + x^25*y*z0^2 + x^25*z0^3 - 2*x^23*y*z0^4 + x^26*y - 2*x^26*z0 + 2*x^24*y*z0^2 - x^24*z0^3 + x^25*y - 2*x^25*z0 + 2*x^23*z0^3 - 2*x^21*y*z0^4 - x^24*y + 2*x^24*z0 + x^22*y*z0^2 - 2*x^22*z0^3 - x^20*y*z0^4 + 2*x^23*z0 - 2*x^21*z0^3 + x^19*y*z0^4 + 2*x^22*y - 2*x^20*z0^3 - x^21*y + 2*x^21*z0 + x^19*z0^3 - x^17*y*z0^4 - 2*x^20*y - 2*x^20*z0 - x^18*y*z0^2 - 2*x^16*y*z0^4 - x^19*y - x^19*z0 - 2*x^17*y*z0^2 - x^17*z0^3 - 2*x^18*y + 2*x^16*y*z0^2 - 2*x^16*z0^3 - x^14*y*z0^4 + 2*x^17*z0 - x^15*z0^3 - 2*x^13*y*z0^4 + x^16*z0 - x^14*y*z0^2 - x^14*z0^3 + x^12*y*z0^4 - 2*x^15*z0 - 2*x^13*y*z0^2 - 2*x^13*z0^3 - 2*x^11*y*z0^4 + 2*x^14*y - 2*x^14*z0 + 2*x^12*y*z0^2 + 2*x^12*z0^3 - 2*x^10*y*z0^4 - x^13*y + 2*x^11*y*z0^2 - x^11*z0^3 - x^9*y*z0^4 + 2*x^12*z0 - x^8*y*z0^4 + x^11*y + 2*x^11*z0 - 2*x^9*y*z0^2 + 2*x^7*y*z0^4 - x^10*y - x^10*z0 + 2*x^8*y*z0^2 + 2*x^6*y*z0^4 + 2*x^9*y - 2*x^9*z0 - x^7*y*z0^2 - x^7*z0^3 + 2*x^5*y*z0^4 + 2*x^8*z0 + x^6*y*z0^2 - 2*x^6*z0^3 + 2*x^4*y*z0^4 - x^7*y + 2*x^7*z0 + 2*x^3*y*z0^4 + 2*x^6*y + x^6*z0 - 2*x^4*y*z0^2 - x^2*y*z0^4 - 2*x^5*z0 + x^3*y*z0^2 + x^3*z0^3 + 2*x^4*y - 2*x^4*z0 - 2*x^2*y*z0^2 - 2*x^3*y - x^3*z0 - 2*x^2*y + x^2*z0)/y) * dx,
+ ((-x^61*z0^4 - x^60*z0^4 + x^58*y^2*z0^4 - 2*x^59*z0^4 + x^57*y^2*z0^4 - 2*x^60*z0^2 + x^58*z0^4 + 2*x^56*y^2*z0^4 - x^61 + 2*x^57*y^2*z0^2 + x^57*z0^4 - 2*x^60 + x^58*y^2 + 2*x^56*z0^4 + 2*x^57*y^2 + 2*x^57*z0^2 - x^55*z0^4 + x^58 - x^54*z0^4 + 2*x^57 - 2*x^53*z0^4 - 2*x^54*z0^2 + x^52*z0^4 - x^55 + x^51*z0^4 - 2*x^54 + 2*x^50*z0^4 + 2*x^51*z0^2 - x^49*z0^4 + x^52 - x^48*z0^4 + 2*x^51 - 2*x^47*z0^4 - 2*x^48*z0^2 + x^46*z0^4 - x^49 + x^45*z0^4 - 2*x^48 + 2*x^44*z0^4 + 2*x^45*z0^2 - 2*x^43*z0^4 + x^46 - x^42*z0^4 + x^40*y^2*z0^4 + 2*x^45 - x^41*z0^4 - 2*x^42*z0^2 + 2*x^40*y*z0^3 + x^40*z0^4 - x^43 - 2*x^42 - 2*x^40*z0^2 - 2*x^38*y*z0^3 + 2*x^38*z0^4 + x^41 - x^39*y*z0 + 2*x^39*z0^2 + 2*x^37*y*z0^3 + 2*x^37*z0^4 + x^40 + 2*x^38*y*z0 + x^36*z0^4 + 2*x^39 - x^37*y*z0 + x^37*z0^2 - 2*x^35*y*z0^3 - x^35*z0^4 - 2*x^38 - 2*x^36*z0^2 - 2*x^34*y*z0^3 - x^35*y*z0 + 2*x^35*z0^2 + 2*x^33*z0^4 + 2*x^36 + 2*x^34*y*z0 + x^34*z0^2 + 2*x^32*y*z0^3 + 2*x^32*z0^4 + x^35 - x^33*y*z0 - x^33*z0^2 - x^31*y*z0^3 - x^31*z0^4 - 2*x^34 + 2*x^32*y*z0 + 2*x^32*z0^2 - 2*x^30*y*z0^3 - 2*x^30*z0^4 + x^33 - 2*x^31*z0^2 + 2*x^29*y*z0^3 + 2*x^29*z0^4 - 2*x^30*z0^2 + 2*x^28*y*z0^3 - 2*x^28*z0^4 - 2*x^31 - 2*x^29*y*z0 - x^29*z0^2 + 2*x^27*y*z0^3 + x^27*z0^4 - 2*x^30 - x^28*y*z0 + 2*x^28*z0^2 + 2*x^26*y*z0^3 - x^29 + x^27*z0^2 + x^25*z0^4 - x^28 - 2*x^26*z0^2 + x^24*y*z0^3 + 2*x^24*z0^4 - x^25*z0^2 + x^23*y*z0^3 - 2*x^23*z0^4 + x^26 + 2*x^24*y*z0 + x^24*z0^2 - x^22*y*z0^3 + x^22*z0^4 - 2*x^25 + x^23*y*z0 + 2*x^23*z0^2 + x^21*y*z0^3 - x^21*z0^4 - x^24 - 2*x^22*y*z0 + 2*x^22*z0^2 + x^20*y*z0^3 - x^20*z0^4 - x^23 + x^21*z0^2 - x^19*y*z0^3 - 2*x^19*z0^4 + x^22 - 2*x^20*y*z0 - 2*x^20*z0^2 + x^18*y*z0^3 - x^18*z0^4 - x^21 + x^19*y*z0 - x^19*z0^2 + 2*x^17*y*z0^3 + 2*x^20 - x^18*y*z0 - 2*x^18*z0^2 + x^17*y*z0 - 2*x^17*z0^2 - 2*x^15*y*z0^3 - 2*x^15*z0^4 + 2*x^18 + 2*x^16*y*z0 + 2*x^14*y*z0^3 - x^14*z0^4 - 2*x^17 - x^15*y*z0 - 2*x^13*y*z0^3 - 2*x^13*z0^4 - 2*x^16 + x^14*y*z0 - 2*x^12*y*z0^3 - 2*x^15 + 2*x^13*y*z0 + 2*x^11*y*z0^3 + x^14 + 2*x^12*y*z0 - x^12*z0^2 - 2*x^10*z0^4 + 2*x^13 - x^11*z0^2 + 2*x^9*y*z0^3 + x^9*z0^4 + x^12 + x^10*y*z0 + x^10*z0^2 + x^8*z0^4 - x^9*z0^2 + 2*x^7*y*z0^3 + 2*x^7*z0^4 - x^10 - x^8*y*z0 + x^8*z0^2 + x^6*y*z0^3 - x^6*z0^4 + x^9 + 2*x^7*y*z0 - 2*x^7*z0^2 + x^5*z0^4 + x^8 + x^6*y*z0 - x^6*z0^2 - 2*x^4*y*z0^3 + x^4*z0^4 + x^5*y*z0 + x^5*z0^2 - 2*x^3*z0^4 - x^6 - 2*x^4*y*z0 - x^4*z0^2 + 2*x^2*y*z0^3 + 2*x^2*z0^4 - 2*x^3*y*z0 + 2*x^3*z0^2 + 2*x^2*y*z0 + 2*x^2*z0^2 + x^3 - 2*x^2)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-2*x^60*z0^4 + x^61*z0^2 + x^59*z0^4 + 2*x^57*y^2*z0^4 - x^58*y^2*z0^2 - x^56*y^2*z0^4 + 2*x^57*z0^4 + 2*x^60 - x^58*z0^2 - x^56*z0^4 - 2*x^57*y^2 - 2*x^54*z0^4 - 2*x^57 + x^55*z0^2 + x^53*z0^4 + 2*x^51*z0^4 + 2*x^54 - x^52*z0^2 - x^50*z0^4 - 2*x^48*z0^4 - 2*x^51 + x^49*z0^2 + x^47*z0^4 + 2*x^45*z0^4 + 2*x^48 - x^46*z0^2 - x^44*z0^4 - 2*x^42*z0^4 - 2*x^45 + x^43*z0^2 + x^41*z0^4 - x^44 + 2*x^40*z0^4 + x^41*y^2 + x^41*z0^2 + x^39*y*z0^3 - 2*x^39*z0^4 + 2*x^42 - 2*x^40*y*z0 + x^40*z0^2 + x^38*y*z0^3 + x^41 - x^39*y*z0 - x^39*z0^2 + 2*x^37*y*z0^3 + x^37*z0^4 - x^40 - x^38*y*z0 + 2*x^38*z0^2 - 2*x^36*y*z0^3 - 2*x^36*z0^4 + 2*x^39 - 2*x^37*y*z0 + x^37*z0^2 - x^35*y*z0^3 - 2*x^35*z0^4 + x^38 - 2*x^36*y*z0 + x^36*z0^2 + 2*x^34*z0^4 + 2*x^37 + x^35*y*z0 - 2*x^33*y*z0^3 + 2*x^33*z0^4 + 2*x^36 - x^32*z0^4 - x^33*y*z0 + 2*x^33*z0^2 + x^31*y*z0^3 + x^31*z0^4 + x^34 + x^32*z0^2 - x^30*z0^4 + 2*x^33 - 2*x^31*z0^2 + x^29*y*z0^3 - 2*x^29*z0^4 - 2*x^30*y*z0 + x^28*y*z0^3 - x^31 - 2*x^29*y*z0 + x^29*z0^2 + x^27*y*z0^3 - 2*x^27*z0^4 - x^30 + x^28*y*z0 + 2*x^28*z0^2 + x^29 + x^27*y*z0 - 2*x^27*z0^2 - 2*x^25*y*z0^3 + x^25*z0^4 + x^28 - x^26*y*z0 + 2*x^26*z0^2 - 2*x^24*z0^4 + 2*x^27 - x^25*y*z0 + 2*x^23*y*z0^3 + 2*x^23*z0^4 + x^26 + x^24*y*z0 + 2*x^24*z0^2 - 2*x^22*y*z0^3 - x^22*z0^4 - 2*x^25 - x^23*y*z0 + 2*x^23*z0^2 + 2*x^21*y*z0^3 - 2*x^22*y*z0 - 2*x^20*z0^4 - 2*x^23 + x^21*y*z0 - 2*x^21*z0^2 - 2*x^19*y*z0^3 + 2*x^19*z0^4 - x^22 + x^20*z0^2 + 2*x^18*y*z0^3 - x^18*z0^4 + x^19*y*z0 + x^19*z0^2 + 2*x^17*y*z0^3 - x^20 + x^18*z0^2 - x^16*y*z0^3 - 2*x^16*z0^4 - 2*x^17*y*z0 + 2*x^17*z0^2 + x^15*y*z0^3 + 2*x^18 - 2*x^16*z0^2 + 2*x^14*y*z0^3 + 2*x^14*z0^4 - x^17 - x^15*y*z0 + x^13*z0^4 + 2*x^16 - x^14*y*z0 - 2*x^14*z0^2 + 2*x^12*y*z0^3 + x^12*z0^4 - x^15 - 2*x^13*y*z0 - x^13*z0^2 + x^11*y*z0^3 + x^11*z0^4 + x^12*y*z0 + x^12*z0^2 + 2*x^13 + x^11*y*z0 + 2*x^11*z0^2 + 2*x^9*y*z0^3 - x^12 + 2*x^10*y*z0 - 2*x^10*z0^2 - x^8*y*z0^3 + 2*x^11 + 2*x^9*y*z0 - 2*x^9*z0^2 + x^7*y*z0^3 - x^7*z0^4 - 2*x^10 + x^8*y*z0 + x^6*y*z0^3 - 2*x^9 - 2*x^7*y*z0 + 2*x^7*z0^2 + 2*x^5*z0^4 + x^8 - x^6*y*z0 - x^6*z0^2 - 2*x^4*y*z0^3 - x^4*z0^4 - x^7 - 2*x^5*y*z0 - 2*x^5*z0^2 - 2*x^3*y*z0^3 + x^3*z0^4 - x^6 + x^4*y*z0 - 2*x^4*z0^2 - x^2*y*z0^3 - x^2*z0^4 - x^5 + x^3*y*z0 + x^3*z0^2 + x^2*z0^2 + 2*x^3 - x^2)/y) * dx,
+ ((-2*x^61*z0^3 - 2*x^60*z0^3 + 2*x^58*y^2*z0^3 + 2*x^61*z0 + x^59*z0^3 + 2*x^57*y^2*z0^3 - 2*x^60*z0 - 2*x^58*y^2*z0 + x^58*z0^3 - x^56*y^2*z0^3 + 2*x^57*y^2*z0 + 2*x^57*z0^3 + x^55*y^2*z0^3 - 2*x^58*z0 - x^56*z0^3 + 2*x^57*z0 - x^55*z0^3 - 2*x^54*z0^3 + 2*x^55*z0 + x^53*z0^3 - 2*x^54*z0 + x^52*z0^3 + 2*x^51*z0^3 - 2*x^52*z0 - x^50*z0^3 + 2*x^51*z0 - x^49*z0^3 - 2*x^48*z0^3 + 2*x^49*z0 + x^47*z0^3 - 2*x^48*z0 + x^46*z0^3 + 2*x^45*z0^3 - 2*x^46*z0 - x^44*z0^3 + 2*x^45*z0 - x^43*z0^3 - x^44*z0 - 2*x^42*z0^3 + 2*x^43*z0 + x^41*y^2*z0 - x^41*z0^3 - 2*x^39*y*z0^4 - 2*x^42*z0 - x^40*y*z0^2 + 2*x^40*z0^3 - 2*x^38*y*z0^4 - 2*x^41*z0 + 2*x^39*y*z0^2 + x^39*z0^3 + 2*x^37*y*z0^4 + x^40*y - 2*x^40*z0 + x^38*z0^3 + x^36*y*z0^4 + 2*x^39*y - x^37*y*z0^2 - x^37*z0^3 - 2*x^38*z0 + x^36*y*z0^2 + 2*x^36*z0^3 + 2*x^34*y*z0^4 + 2*x^37*y + 2*x^37*z0 + x^35*y*z0^2 - 2*x^35*z0^3 - x^33*y*z0^4 - 2*x^34*y*z0^2 - x^34*z0^3 - x^32*y*z0^4 + 2*x^35*y - x^35*z0 + 2*x^33*y*z0^2 + x^33*z0^3 + x^31*y*z0^4 + x^34*y - x^34*z0 + 2*x^32*y*z0^2 - 2*x^30*y*z0^4 - 2*x^33*y - x^33*z0 - x^31*z0^3 + x^29*y*z0^4 + x^32*y - 2*x^32*z0 + 2*x^30*y*z0^2 + 2*x^30*z0^3 - 2*x^28*y*z0^4 - x^31*y + x^31*z0 - x^29*y*z0^2 + x^29*z0^3 + 2*x^30*y - x^30*z0 + x^28*y*z0^2 - x^28*z0^3 - x^26*y*z0^4 - 2*x^29*y - x^29*z0 - 2*x^27*y*z0^2 - 2*x^27*z0^3 - 2*x^25*y*z0^4 + 2*x^28*y - 2*x^28*z0 - 2*x^26*y*z0^2 + 2*x^26*z0^3 - 2*x^24*y*z0^4 - 2*x^27*y - x^27*z0 - 2*x^25*y*z0^2 + 2*x^23*y*z0^4 + 2*x^26*y - 2*x^26*z0 + x^24*y*z0^2 + x^24*z0^3 + x^22*y*z0^4 - x^25*y - 2*x^25*z0 - x^23*y*z0^2 - 2*x^23*z0^3 + 2*x^21*y*z0^4 - x^24*y - x^24*z0 + 2*x^22*y*z0^2 - x^22*z0^3 + 2*x^20*y*z0^4 + 2*x^23*y + 2*x^21*y*z0^2 - x^21*z0^3 - x^22*y - 2*x^22*z0 - 2*x^20*y*z0^2 - x^20*z0^3 - 2*x^21*y - 2*x^21*z0 + x^19*y*z0^2 - 2*x^19*z0^3 - 2*x^20*y - x^20*z0 + 2*x^18*y*z0^2 + x^18*z0^3 - x^16*y*z0^4 - 2*x^19*y - x^19*z0 - 2*x^17*y*z0^2 + 2*x^17*z0^3 + 2*x^15*y*z0^4 + x^18*y - 2*x^18*z0 + x^16*y*z0^2 - 2*x^16*z0^3 - x^14*y*z0^4 - 2*x^17*y - 2*x^17*z0 - 2*x^15*y*z0^2 + x^13*y*z0^4 + 2*x^16*y - 2*x^14*y*z0^2 - x^15*y + x^15*z0 + x^13*y*z0^2 - x^13*z0^3 + 2*x^11*y*z0^4 + 2*x^14*y + x^14*z0 - x^12*y*z0^2 + x^10*y*z0^4 - x^13*y + 2*x^13*z0 - x^11*y*z0^2 - 2*x^11*z0^3 + x^9*y*z0^4 + 2*x^12*y - x^12*z0 + x^10*z0^3 - 2*x^11*y - x^11*z0 + 2*x^9*y*z0^2 + 2*x^9*z0^3 - x^7*y*z0^4 + 2*x^10*y + x^10*z0 + 2*x^8*z0^3 - x^6*y*z0^4 - 2*x^9*y + x^7*y*z0^2 + 2*x^7*z0^3 - 2*x^5*y*z0^4 + x^8*y + x^8*z0 - 2*x^6*y*z0^2 + 2*x^6*z0^3 + x^4*y*z0^4 - x^7*y - x^7*z0 - 2*x^5*y*z0^2 + x^5*z0^3 + x^3*y*z0^4 + x^6*y - x^6*z0 + 2*x^4*y*z0^2 - 2*x^4*z0^3 - x^2*y*z0^4 + 2*x^3*z0^3 - x^4*y + 2*x^4*z0 - x^2*y*z0^2 + x^2*z0^3 + 2*x^3*y - 2*x^3*z0 - x^2*y - 2*x^2*z0)/y) * dx,
+ ((2*x^61*z0^4 - 2*x^58*y^2*z0^4 - 2*x^61*z0^2 - x^59*z0^4 + x^60*z0^2 + 2*x^58*y^2*z0^2 - 2*x^58*z0^4 + x^56*y^2*z0^4 - x^61 - x^57*y^2*z0^2 + x^58*y^2 + 2*x^58*z0^2 + x^56*z0^4 - x^57*z0^2 + 2*x^55*z0^4 + x^58 - 2*x^55*z0^2 - x^53*z0^4 + x^54*z0^2 - 2*x^52*z0^4 - x^55 + 2*x^52*z0^2 + x^50*z0^4 - x^51*z0^2 + 2*x^49*z0^4 + x^52 - 2*x^49*z0^2 - x^47*z0^4 + x^48*z0^2 - 2*x^46*z0^4 - x^49 + 2*x^46*z0^2 + x^44*z0^4 - x^45*z0^2 + 2*x^43*z0^4 + x^46 - x^44*z0^2 - 2*x^43*z0^2 + x^41*y^2*z0^2 - 2*x^41*z0^4 + x^42*z0^2 + x^40*y*z0^3 - x^43 - x^41*z0^2 - 2*x^39*y*z0^3 + 2*x^39*z0^4 - x^40*y*z0 + 2*x^40*z0^2 - x^38*y*z0^3 - 2*x^38*z0^4 - x^41 - 2*x^39*y*z0 + x^39*z0^2 - x^37*y*z0^3 - 2*x^40 - 2*x^38*y*z0 - x^36*y*z0^3 - x^39 - x^37*y*z0 - x^37*z0^2 - x^35*y*z0^3 + 2*x^35*z0^4 + x^38 + 2*x^36*y*z0 - x^36*z0^2 + x^34*y*z0^3 - x^35*y*z0 + x^35*z0^2 - x^33*y*z0^3 - x^33*z0^4 + 2*x^36 + x^34*y*z0 - 2*x^34*z0^2 + x^32*y*z0^3 + x^32*z0^4 - 2*x^35 - 2*x^33*y*z0 + 2*x^33*z0^2 - x^34 - 2*x^32*y*z0 + x^32*z0^2 + x^30*y*z0^3 - x^30*z0^4 - 2*x^33 + 2*x^31*z0^2 + x^29*y*z0^3 - 2*x^32 - x^28*y*z0^3 + 2*x^28*z0^4 - x^31 - 2*x^29*y*z0 + x^27*y*z0^3 - x^27*z0^4 - 2*x^30 + x^28*y*z0 - x^28*z0^2 + 2*x^27*y*z0 + x^25*y*z0^3 - 2*x^25*z0^4 - x^28 + x^26*y*z0 - x^26*z0^2 + 2*x^24*y*z0^3 + 2*x^27 - 2*x^25*y*z0 - 2*x^25*z0^2 - 2*x^23*y*z0^3 + 2*x^23*z0^4 - 2*x^26 - x^24*y*z0 + x^22*y*z0^3 - 2*x^22*z0^4 - x^23*z0^2 + x^21*y*z0^3 - x^21*z0^4 + 2*x^24 - 2*x^22*z0^2 - 2*x^20*y*z0^3 + 2*x^20*z0^4 + 2*x^23 + x^21*y*z0 - x^21*z0^2 + 2*x^19*y*z0^3 + 2*x^19*z0^4 - 2*x^22 - x^20*y*z0 + x^18*y*z0^3 + x^18*z0^4 + x^21 + x^19*z0^2 - x^17*y*z0^3 + 2*x^17*z0^4 + x^20 - 2*x^16*z0^4 - x^17*y*z0 - 2*x^17*z0^2 - x^15*y*z0^3 - 2*x^15*z0^4 - x^18 - x^16*y*z0 - 2*x^14*y*z0^3 + 2*x^14*z0^4 + x^17 - x^15*y*z0 + 2*x^15*z0^2 - 2*x^13*y*z0^3 + x^13*z0^4 + 2*x^16 - 2*x^14*y*z0 + x^14*z0^2 - x^12*y*z0^3 - 2*x^12*z0^4 - 2*x^13*y*z0 - 2*x^13*z0^2 - x^11*y*z0^3 + x^11*z0^4 - 2*x^14 + 2*x^12*y*z0 - x^12*z0^2 - x^10*y*z0^3 - 2*x^10*z0^4 + x^13 + x^11*y*z0 - 2*x^11*z0^2 - x^9*y*z0^3 - x^9*z0^4 + 2*x^12 - x^10*y*z0 + 2*x^10*z0^2 - x^8*y*z0^3 + 2*x^11 + x^9*y*z0 + x^9*z0^2 - 2*x^7*z0^4 - x^10 - 2*x^8*y*z0 - x^6*z0^4 - 2*x^9 + x^7*y*z0 - 2*x^7*z0^2 - x^5*y*z0^3 + x^5*z0^4 - x^8 + 2*x^6*y*z0 - 2*x^6*z0^2 + 2*x^4*z0^4 + 2*x^7 + x^5*y*z0 + x^5*z0^2 + x^3*z0^4 + 2*x^6 + 2*x^4*y*z0 + 2*x^4*z0^2 + x^2*y*z0^3 + x^2*z0^4 - 2*x^3*y*z0 + 2*x^3*z0^2 + 2*x^2*y*z0 + 2*x^2*z0^2 + 2*x^3 + 2*x^2)/y) * dx,
+ ((-x^61*z0^3 - 2*x^60*z0^3 + x^58*y^2*z0^3 + x^61*z0 - x^59*z0^3 + 2*x^57*y^2*z0^3 - 2*x^60*z0 - x^58*y^2*z0 - 2*x^58*z0^3 + x^56*y^2*z0^3 + 2*x^57*y^2*z0 - 2*x^55*y^2*z0^3 - x^58*z0 + x^56*z0^3 + 2*x^54*y^2*z0^3 + 2*x^57*z0 + 2*x^55*z0^3 + x^55*z0 - x^53*z0^3 - 2*x^54*z0 - 2*x^52*z0^3 - x^52*z0 + x^50*z0^3 + 2*x^51*z0 + 2*x^49*z0^3 + x^49*z0 - x^47*z0^3 - 2*x^48*z0 - 2*x^46*z0^3 - x^46*z0 + 2*x^45*z0 + 2*x^43*z0^3 + x^41*y^2*z0^3 + x^43*z0 - x^41*z0^3 - x^39*y*z0^4 - 2*x^42*z0 + 2*x^40*y*z0^2 + x^40*z0^3 - x^38*y*z0^4 + x^41*z0 + x^39*y*z0^2 - x^39*z0^3 + x^37*y*z0^4 - 2*x^40*y + x^40*z0 - 2*x^38*y*z0^2 + 2*x^38*z0^3 - 2*x^39*y + x^39*z0 - x^37*y*z0^2 - x^37*z0^3 + x^35*y*z0^4 - x^38*y + 2*x^38*z0 - 2*x^36*y*z0^2 - 2*x^36*z0^3 + x^34*y*z0^4 + x^37*y - x^37*z0 + 2*x^35*y*z0^2 + 2*x^35*z0^3 + x^33*y*z0^4 - x^36*y - x^36*z0 - 2*x^34*y*z0^2 - x^34*z0^3 + 2*x^32*y*z0^4 - 2*x^35*y + 2*x^35*z0 - x^33*y*z0^2 + 2*x^31*y*z0^4 - x^34*z0 + 2*x^33*y - 2*x^31*y*z0^2 - 2*x^31*z0^3 - 2*x^29*y*z0^4 + x^32*y + x^32*z0 + x^30*y*z0^2 - 2*x^30*z0^3 - 2*x^31*y + x^31*z0 - x^29*y*z0^2 - 2*x^29*z0^3 - 2*x^27*y*z0^4 - 2*x^30*y + 2*x^30*z0 + x^28*y*z0^2 + 2*x^28*z0^3 - x^26*y*z0^4 - x^29*z0 - 2*x^27*y*z0^2 + 2*x^27*z0^3 - 2*x^25*y*z0^4 - 2*x^28*z0 - 2*x^26*y*z0^2 + x^26*z0^3 - 2*x^24*y*z0^4 + x^27*y - 2*x^27*z0 - 2*x^25*y*z0^2 - 2*x^25*z0^3 + 2*x^23*y*z0^4 - 2*x^26*y + x^26*z0 + x^24*y*z0^2 + x^24*z0^3 - x^22*y*z0^4 - x^25*y - x^25*z0 + x^23*y*z0^2 + 2*x^23*z0^3 + 2*x^21*y*z0^4 + x^24*y - x^24*z0 - x^20*y*z0^4 + 2*x^23*y + 2*x^23*z0 + 2*x^21*y*z0^2 + 2*x^21*z0^3 - x^22*y - 2*x^22*z0 - x^20*y*z0^2 + 2*x^20*z0^3 - x^18*y*z0^4 + 2*x^21*y + 2*x^21*z0 + x^19*y*z0^2 - x^19*z0^3 + 2*x^17*y*z0^4 + 2*x^20*y - x^20*z0 + 2*x^18*y*z0^2 + 2*x^19*y + x^17*y*z0^2 + x^17*z0^3 - x^15*y*z0^4 + x^18*y + 2*x^18*z0 - 2*x^16*y*z0^2 - 2*x^16*z0^3 + x^14*y*z0^4 + 2*x^15*y*z0^2 + 2*x^15*z0^3 + 2*x^16*y - x^14*y*z0^2 - 2*x^14*z0^3 + x^12*y*z0^4 + x^15*y - 2*x^15*z0 + x^13*y*z0^2 + x^11*y*z0^4 + 2*x^14*y - 2*x^14*z0 + x^12*y*z0^2 + x^12*z0^3 + 2*x^10*y*z0^4 - 2*x^13*y + x^13*z0 + 2*x^11*y*z0^2 - x^11*z0^3 + x^9*y*z0^4 - x^10*y*z0^2 - x^10*z0^3 + 2*x^8*y*z0^4 + 2*x^11*z0 - x^9*z0^3 - 2*x^8*y*z0^2 - 2*x^8*z0^3 - x^6*y*z0^4 + 2*x^9*y + x^9*z0 + x^7*y*z0^2 + x^7*z0^3 + 2*x^5*y*z0^4 - x^8*y + 2*x^6*z0^3 - 2*x^4*y*z0^4 - 2*x^7*y + 2*x^7*z0 - 2*x^5*y*z0^2 + 2*x^5*z0^3 - x^3*y*z0^4 - x^6*y + x^6*z0 + x^4*y*z0^2 - x^4*z0^3 + x^5*y - x^5*z0 + 2*x^4*z0 + 2*x^2*y*z0^2 - x^2*z0^3 + 2*x^3*y + x^3*z0 - 2*x^2*y + x^2*z0)/y) * dx,
+ ((-x^61*z0^4 + 2*x^60*z0^4 + x^58*y^2*z0^4 + 2*x^61*z0^2 + x^59*z0^4 - 2*x^57*y^2*z0^4 - 2*x^58*y^2*z0^2 + x^58*z0^4 - x^56*y^2*z0^4 - 2*x^61 - 2*x^57*z0^4 - x^60 + 2*x^58*y^2 - 2*x^58*z0^2 - x^56*z0^4 + x^57*y^2 - x^55*z0^4 + 2*x^58 + 2*x^54*z0^4 + x^57 + 2*x^55*z0^2 + x^53*z0^4 + x^52*z0^4 - 2*x^55 - 2*x^51*z0^4 - x^54 - 2*x^52*z0^2 - x^50*z0^4 - x^49*z0^4 + 2*x^52 + 2*x^48*z0^4 + x^51 + 2*x^49*z0^2 + x^47*z0^4 + x^46*z0^4 - 2*x^49 - 2*x^45*z0^4 - x^48 - 2*x^46*z0^2 - 2*x^44*z0^4 - x^43*z0^4 + x^41*y^2*z0^4 + 2*x^46 + 2*x^42*z0^4 + x^45 + 2*x^43*z0^2 + 2*x^40*y*z0^3 - x^40*z0^4 - 2*x^43 + 2*x^41*z0^2 + 2*x^39*y*z0^3 + x^39*z0^4 - x^42 + x^40*y*z0 + x^40*z0^2 + x^38*y*z0^3 - 2*x^41 + 2*x^39*y*z0 - 2*x^39*z0^2 - x^37*y*z0^3 + x^37*z0^4 + x^40 - x^38*y*z0 - x^38*z0^2 + x^36*y*z0^3 - 2*x^36*z0^4 + x^39 + 2*x^37*y*z0 + x^37*z0^2 - 2*x^35*y*z0^3 + x^35*z0^4 - 2*x^38 - x^36*y*z0 + 2*x^36*z0^2 + x^34*z0^4 + 2*x^37 - x^35*y*z0 + 2*x^33*y*z0^3 + x^33*z0^4 - x^36 - x^34*y*z0 - x^34*z0^2 - 2*x^32*y*z0^3 - 2*x^32*z0^4 - 2*x^35 + x^33*y*z0 - x^33*z0^2 - x^31*y*z0^3 - 2*x^31*z0^4 - x^34 - 2*x^32*y*z0 + x^30*y*z0^3 + x^30*z0^4 - x^33 + x^31*y*z0 + x^31*z0^2 - 2*x^29*y*z0^3 + 2*x^29*z0^4 - 2*x^30*y*z0 + x^30*z0^2 - 2*x^28*y*z0^3 + x^31 - x^29*y*z0 - 2*x^29*z0^2 + 2*x^30 - x^28*y*z0 + 2*x^28*z0^2 + x^26*y*z0^3 - x^26*z0^4 - 2*x^29 + 2*x^27*y*z0 + 2*x^27*z0^2 + x^25*y*z0^3 + x^25*z0^4 - 2*x^28 + x^26*y*z0 - x^26*z0^2 + 2*x^24*z0^4 + x^27 - x^25*y*z0 + x^25*z0^2 - 2*x^23*y*z0^3 + x^26 - 2*x^24*y*z0 + x^24*z0^2 - 2*x^22*y*z0^3 + 2*x^22*z0^4 + x^25 + x^23*z0^2 - x^21*y*z0^3 + 2*x^21*z0^4 - x^24 - 2*x^22*z0^2 + x^20*y*z0^3 + 2*x^20*z0^4 - x^23 - x^21*y*z0 + x^21*z0^2 - 2*x^19*y*z0^3 - 2*x^19*z0^4 + x^22 + x^20*z0^2 + 2*x^18*y*z0^3 + x^18*z0^4 - 2*x^21 - 2*x^19*z0^2 - 2*x^17*y*z0^3 + 2*x^18*y*z0 + 2*x^18*z0^2 - x^16*y*z0^3 - 2*x^16*z0^4 - x^19 - x^17*y*z0 - 2*x^17*z0^2 + x^15*y*z0^3 + 2*x^15*z0^4 - 2*x^18 - 2*x^16*y*z0 - 2*x^16*z0^2 + 2*x^14*y*z0^3 + 2*x^17 + 2*x^15*z0^2 + 2*x^13*y*z0^3 - x^13*z0^4 - x^16 - 2*x^14*y*z0 + x^14*z0^2 + 2*x^12*y*z0^3 - 2*x^12*z0^4 + x^15 + 2*x^13*y*z0 - x^11*y*z0^3 - 2*x^14 - x^12*y*z0 - x^12*z0^2 - x^10*y*z0^3 + 2*x^10*z0^4 + x^13 + x^11*y*z0 - x^9*y*z0^3 - x^9*z0^4 - x^12 - x^10*z0^2 + x^8*y*z0^3 - x^8*z0^4 + x^11 + x^9*y*z0 + x^9*z0^2 - 2*x^10 + x^8*y*z0 - 2*x^8*z0^2 + x^6*y*z0^3 - 2*x^6*z0^4 - x^9 + 2*x^7*z0^2 - x^5*y*z0^3 + x^6*z0^2 + x^4*y*z0^3 + 2*x^4*z0^4 - 2*x^7 - x^5*z0^2 - 2*x^3*y*z0^3 + 2*x^3*z0^4 - x^6 - 2*x^4*y*z0 + 2*x^2*y*z0^3 + 2*x^2*z0^4 - 2*x^3*y*z0 - 2*x^3 - 2*x^2)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^61*z0^4 + x^58*y^2*z0^4 + x^61*z0^2 - 2*x^60*z0^2 - x^58*y^2*z0^2 + x^58*z0^4 - 2*x^61 + 2*x^57*y^2*z0^2 - 2*x^60 + 2*x^58*y^2 - x^58*z0^2 + 2*x^57*y^2 + 2*x^57*z0^2 - x^55*z0^4 + 2*x^58 + 2*x^57 + x^55*z0^2 - 2*x^54*z0^2 + x^52*z0^4 - 2*x^55 - 2*x^54 - x^52*z0^2 + 2*x^51*z0^2 - x^49*z0^4 + 2*x^52 + 2*x^51 + x^49*z0^2 - 2*x^48*z0^2 + x^46*z0^4 - 2*x^49 - 2*x^48 - x^46*z0^2 + 2*x^45*z0^2 - x^43*z0^4 + 2*x^46 + x^45 + x^43*z0^2 - 2*x^41*z0^4 + x^42*y^2 - 2*x^42*z0^2 + 2*x^40*y*z0^3 - 2*x^40*z0^4 - 2*x^43 + x^41*z0^2 + x^39*y*z0^3 - x^39*z0^4 - x^42 - 2*x^40*y*z0 - x^38*y*z0^3 + x^38*z0^4 - 2*x^41 + x^39*y*z0 + x^39*z0^2 - 2*x^37*y*z0^3 + 2*x^37*z0^4 - x^38*y*z0 + 2*x^38*z0^2 - 2*x^36*y*z0^3 - 2*x^36*z0^4 + 2*x^39 - 2*x^37*y*z0 + 2*x^35*y*z0^3 + x^38 - 2*x^36*y*z0 - x^36*z0^2 - 2*x^34*y*z0^3 - 2*x^34*z0^4 + x^37 - 2*x^35*y*z0 - 2*x^35*z0^2 - x^33*y*z0^3 - x^33*z0^4 + x^36 - 2*x^34*y*z0 + x^34*z0^2 + 2*x^32*y*z0^3 + x^32*z0^4 + 2*x^33*y*z0 + 2*x^33*z0^2 - 2*x^31*y*z0^3 - 2*x^31*z0^4 + x^34 - x^32*y*z0 + x^32*z0^2 + 2*x^30*z0^4 + x^31*y*z0 + x^31*z0^2 - 2*x^29*y*z0^3 + x^29*z0^4 + x^32 - x^30*y*z0 - x^30*z0^2 + x^28*y*z0^3 + x^28*z0^4 - x^31 - 2*x^29*y*z0 + x^29*z0^2 - 2*x^27*y*z0^3 + 2*x^27*z0^4 - 2*x^30 - x^28*y*z0 + x^28*z0^2 + 2*x^26*y*z0^3 - x^26*z0^4 + x^29 - x^27*y*z0 - 2*x^27*z0^2 - 2*x^25*y*z0^3 - x^25*z0^4 + 2*x^28 - 2*x^26*y*z0 - x^26*z0^2 + x^24*y*z0^3 + x^24*z0^4 + 2*x^27 - 2*x^25*z0^2 + x^23*y*z0^3 + 2*x^23*z0^4 + x^24*y*z0 - x^24*z0^2 + 2*x^25 + x^23*y*z0 - x^23*z0^2 - x^21*z0^4 + x^22*z0^2 + x^20*y*z0^3 + 2*x^20*z0^4 - 2*x^21*y*z0 - x^21*z0^2 + 2*x^19*y*z0^3 + 2*x^22 - 2*x^20*y*z0 + 2*x^20*z0^2 - x^18*y*z0^3 - x^18*z0^4 + x^21 + 2*x^19*y*z0 + x^19*z0^2 - x^17*y*z0^3 - 2*x^18*y*z0 + 2*x^18*z0^2 - x^16*z0^4 - 2*x^19 - x^17*y*z0 + x^17*z0^2 - x^15*y*z0^3 + 2*x^15*z0^4 + 2*x^16*y*z0 - x^14*y*z0^3 + x^17 - x^15*y*z0 + 2*x^15*z0^2 + x^13*y*z0^3 + x^13*z0^4 - x^16 - x^14*y*z0 + x^14*z0^2 + 2*x^12*y*z0^3 + x^12*z0^4 - x^15 - x^13*y*z0 + 2*x^13*z0^2 + 2*x^11*y*z0^3 + 2*x^11*z0^4 + 2*x^14 - 2*x^12*y*z0 + x^12*z0^2 - x^10*y*z0^3 + x^10*z0^4 - x^13 + x^11*z0^2 - 2*x^9*y*z0^3 - 2*x^12 + x^10*y*z0 + 2*x^10*z0^2 - 2*x^8*y*z0^3 + 2*x^11 - x^9*y*z0 + 2*x^9*z0^2 + 2*x^7*y*z0^3 + 2*x^7*z0^4 + 2*x^10 + x^8*y*z0 + 2*x^8*z0^2 - x^6*y*z0^3 + 2*x^6*z0^4 - x^9 - x^7*y*z0 + 2*x^5*y*z0^3 - 2*x^5*z0^4 - x^6*y*z0 - 2*x^6*z0^2 + 2*x^4*y*z0^3 + x^5*y*z0 + 2*x^3*z0^4 - x^6 + x^4*y*z0 + x^4*z0^2 + x^2*y*z0^3 + 2*x^2*z0^4 + 2*x^3*y*z0 - x^3*z0^2 - 2*x^2*y*z0 - x^2*z0^2 - 2*x^3 + x^2)/y) * dx,
+ ((x^60*z0^3 - x^57*y^2*z0^3 - x^60*z0 + x^58*z0^3 - 2*x^59*z0 + x^57*y^2*z0 - 2*x^57*z0^3 - x^55*y^2*z0^3 + 2*x^56*y^2*z0 + x^54*y^2*z0^3 + x^57*z0 - x^55*z0^3 + 2*x^56*z0 + 2*x^54*z0^3 - x^54*z0 + x^52*z0^3 - 2*x^53*z0 - 2*x^51*z0^3 + x^51*z0 - x^49*z0^3 + 2*x^50*z0 + 2*x^48*z0^3 - x^48*z0 + x^46*z0^3 - 2*x^47*z0 - 2*x^45*z0^3 - x^43*z0^3 + 2*x^44*z0 + x^42*y^2*z0 + 2*x^42*z0^3 - x^38*y*z0^4 - 2*x^41*z0 + x^39*z0^3 - x^37*y*z0^4 - x^40*z0 - 2*x^38*y*z0^2 - 2*x^39*y + x^39*z0 - x^37*y*z0^2 + x^37*z0^3 - 2*x^35*y*z0^4 - 2*x^38*y + x^36*y*z0^2 - x^36*z0^3 + 2*x^34*y*z0^4 + x^37*z0 - 2*x^35*y*z0^2 + x^35*z0^3 - x^33*y*z0^4 - 2*x^36*z0 + x^34*y*z0^2 - x^34*z0^3 - x^32*y*z0^4 - x^35*z0 - 2*x^33*z0^3 - x^34*y - x^34*z0 + x^32*y*z0^2 + x^32*z0^3 + 2*x^30*y*z0^4 - x^33*y - 2*x^33*z0 - 2*x^31*z0^3 + 2*x^29*y*z0^4 + 2*x^32*y - x^32*z0 - 2*x^30*y*z0^2 - 2*x^30*z0^3 + 2*x^28*y*z0^4 + 2*x^31*y - 2*x^29*y*z0^2 - x^29*z0^3 - 2*x^27*y*z0^4 - x^30*y - 2*x^30*z0 - x^28*y*z0^2 + x^26*y*z0^4 - x^29*y + 2*x^27*y*z0^2 + 2*x^27*z0^3 - 2*x^25*y*z0^4 - x^28*z0 + x^26*y*z0^2 - x^24*y*z0^4 + x^27*y - 2*x^25*y*z0^2 - x^25*z0^3 + x^23*y*z0^4 + 2*x^26*y + 2*x^26*z0 - x^24*y*z0^2 + 2*x^24*z0^3 - 2*x^22*y*z0^4 - 2*x^25*z0 + 2*x^23*y*z0^2 + x^23*z0^3 - x^21*y*z0^4 - x^24*z0 - 2*x^22*z0^3 - x^20*y*z0^4 - x^23*z0 - x^21*y*z0^2 - x^21*z0^3 - 2*x^19*y*z0^4 + 2*x^22*y - 2*x^22*z0 + 2*x^20*z0^3 + x^18*y*z0^4 + 2*x^21*y - 2*x^21*z0 + 2*x^19*z0^3 - 2*x^17*y*z0^4 + 2*x^20*y + 2*x^18*y*z0^2 - 2*x^18*z0^3 - x^16*y*z0^4 - 2*x^19*y + x^19*z0 - x^17*z0^3 + 2*x^15*y*z0^4 - 2*x^18*y - 2*x^18*z0 + x^16*y*z0^2 - x^17*y + x^17*z0 + 2*x^15*y*z0^2 - 2*x^15*z0^3 + x^13*y*z0^4 + 2*x^16*y - 2*x^14*z0^3 - x^12*y*z0^4 + x^15*y - x^15*z0 - x^13*y*z0^2 - 2*x^11*y*z0^4 + x^14*y - 2*x^14*z0 + x^12*y*z0^2 - x^12*z0^3 - 2*x^10*y*z0^4 + x^13*y + 2*x^13*z0 + 2*x^11*y*z0^2 + x^11*z0^3 + x^9*y*z0^4 - 2*x^12*y + 2*x^12*z0 - x^10*y*z0^2 - 2*x^10*z0^3 - 2*x^8*y*z0^4 - x^11*z0 + x^9*y*z0^2 + 2*x^9*z0^3 - 2*x^7*y*z0^4 - x^10*y - x^10*z0 + 2*x^6*y*z0^4 - 2*x^9*y + x^9*z0 - 2*x^7*y*z0^2 - 2*x^7*z0^3 + x^5*y*z0^4 - 2*x^8*y + 2*x^6*z0^3 + x^4*y*z0^4 + 2*x^7*y + x^5*y*z0^2 - 2*x^5*z0^3 - x^6*y - 2*x^6*z0 - x^4*y*z0^2 + 2*x^4*z0^3 - 2*x^2*y*z0^4 - x^5*y + 2*x^3*y*z0^2 - x^3*z0^3 - x^2*y*z0^2 - x^2*z0^3 + x^3*z0 - 2*x^2*y + 2*x^2*z0)/y) * dx,
+ ((x^61*z0^4 + 2*x^60*z0^4 - x^58*y^2*z0^4 - 2*x^61*z0^2 - x^59*z0^4 - 2*x^57*y^2*z0^4 + x^60*z0^2 + 2*x^58*y^2*z0^2 - x^58*z0^4 + x^56*y^2*z0^4 + 2*x^61 - x^57*y^2*z0^2 - 2*x^57*z0^4 + x^60 - 2*x^58*y^2 + 2*x^58*z0^2 + x^56*z0^4 - x^57*y^2 - x^57*z0^2 + x^55*z0^4 - 2*x^58 + 2*x^54*z0^4 - x^57 - 2*x^55*z0^2 - x^53*z0^4 + x^54*z0^2 - x^52*z0^4 + 2*x^55 - 2*x^51*z0^4 + x^54 + 2*x^52*z0^2 + x^50*z0^4 - x^51*z0^2 + x^49*z0^4 - 2*x^52 + 2*x^48*z0^4 - x^51 - 2*x^49*z0^2 - x^47*z0^4 + x^48*z0^2 - x^46*z0^4 + 2*x^49 - 2*x^45*z0^4 + x^48 + 2*x^46*z0^2 + x^44*z0^4 - 2*x^45*z0^2 + x^43*z0^4 - 2*x^46 + x^42*y^2*z0^2 + 2*x^42*z0^4 - x^45 - 2*x^43*z0^2 + x^41*z0^4 + 2*x^42*z0^2 - 2*x^40*y*z0^3 + 2*x^40*z0^4 + 2*x^43 - 2*x^41*z0^2 - 2*x^39*y*z0^3 + x^42 - x^40*y*z0 + x^38*y*z0^3 - x^38*z0^4 + 2*x^41 - 2*x^37*y*z0^3 - x^38*y*z0 + x^38*z0^2 - x^36*y*z0^3 + x^36*z0^4 + 2*x^39 + x^37*y*z0 + 2*x^35*y*z0^3 + 2*x^38 - x^36*y*z0 + x^34*y*z0^3 + x^35*y*z0 + 2*x^35*z0^2 + x^33*y*z0^3 - x^33*z0^4 + 2*x^36 - 2*x^34*y*z0 + x^32*y*z0^3 + 2*x^33*y*z0 - 2*x^31*y*z0^3 - 2*x^31*z0^4 + 2*x^34 + 2*x^32*z0^2 - 2*x^30*y*z0^3 + x^30*z0^4 + 2*x^33 + x^31*y*z0 + 2*x^31*z0^2 + x^29*y*z0^3 + x^29*z0^4 + 2*x^30*y*z0 - x^30*z0^2 + 2*x^28*y*z0^3 + 2*x^28*z0^4 - 2*x^31 - 2*x^29*y*z0 + x^27*y*z0^3 - 2*x^27*z0^4 + x^30 - x^28*z0^2 + x^26*z0^4 + 2*x^29 + x^27*y*z0 + x^27*z0^2 - x^25*y*z0^3 - x^26*y*z0 + 2*x^24*y*z0^3 + x^27 + x^25*y*z0 - 2*x^25*z0^2 - x^23*z0^4 + 2*x^26 - x^24*z0^2 - 2*x^22*y*z0^3 + 2*x^22*z0^4 - x^25 - x^23*y*z0 - x^21*y*z0^3 - 2*x^24 + x^22*y*z0 - x^22*z0^2 + 2*x^20*y*z0^3 - 2*x^23 + 2*x^21*y*z0 - 2*x^21*z0^2 - 2*x^19*y*z0^3 + 2*x^19*z0^4 + 2*x^22 + 2*x^20*z0^2 - x^18*y*z0^3 - x^21 + 2*x^19*z0^2 - 2*x^20 + 2*x^18*z0^2 + 2*x^16*z0^4 - 2*x^19 + x^17*y*z0 + x^17*z0^2 - 2*x^15*y*z0^3 - x^16*y*z0 + x^16*z0^2 + x^14*y*z0^3 - 2*x^17 - x^15*y*z0 - x^15*z0^2 - 2*x^13*y*z0^3 + x^13*z0^4 - x^16 - x^14*z0^2 + x^12*y*z0^3 + x^12*z0^4 + 2*x^15 - x^13*y*z0 + 2*x^13*z0^2 + 2*x^11*y*z0^3 + x^11*z0^4 - x^14 - 2*x^12*y*z0 + x^12*z0^2 - 2*x^10*y*z0^3 - 2*x^13 - x^11*y*z0 - 2*x^11*z0^2 + x^9*y*z0^3 - x^9*z0^4 - 2*x^10*y*z0 + x^10*z0^2 + 2*x^8*z0^4 + x^11 - 2*x^9*y*z0 - 2*x^9*z0^2 + 2*x^7*y*z0^3 + x^10 - x^6*y*z0^3 + x^9 + x^7*y*z0 - x^7*z0^2 + x^5*y*z0^3 + x^5*z0^4 - x^8 + 2*x^6*y*z0 + 2*x^6*z0^2 + x^4*y*z0^3 + x^7 - 2*x^5*z0^2 - x^3*y*z0^3 + x^4*y*z0 + x^4*z0^2 - x^2*y*z0^3 + x^2*z0^4 + 2*x^3*z0^2 - 2*x^2*y*z0 - 2*x^2*z0^2)/y) * dx,
+ ((x^61*z0^3 - 2*x^60*z0^3 - x^58*y^2*z0^3 - x^61*z0 + 2*x^57*y^2*z0^3 + x^60*z0 + x^58*y^2*z0 - x^58*z0^3 - 2*x^59*z0 - x^57*y^2*z0 + x^58*z0 + 2*x^56*y^2*z0 + 2*x^54*y^2*z0^3 - x^57*z0 + x^55*z0^3 + 2*x^56*z0 - x^55*z0 + x^54*z0 - x^52*z0^3 - 2*x^53*z0 + x^52*z0 - x^51*z0 + x^49*z0^3 + 2*x^50*z0 - x^49*z0 + x^48*z0 - x^46*z0^3 - 2*x^47*z0 - x^45*z0^3 + x^46*z0 + x^42*y^2*z0^3 - x^45*z0 + x^43*z0^3 + 2*x^44*z0 + x^42*z0^3 - x^43*z0 + x^41*z0^3 + x^39*y*z0^4 + x^42*z0 - 2*x^40*y*z0^2 + 2*x^41*z0 - x^39*y*z0^2 + x^39*z0^3 + x^37*y*z0^4 + 2*x^40*y - 2*x^40*z0 + 2*x^38*z0^3 - 2*x^36*y*z0^4 + x^39*z0 + x^37*y*z0^2 - x^37*z0^3 - 2*x^35*y*z0^4 - 2*x^38*y - 2*x^38*z0 - 2*x^36*y*z0^2 - x^36*z0^3 - x^37*y - 2*x^37*z0 + x^35*y*z0^2 - 2*x^35*z0^3 - 2*x^33*y*z0^4 - 2*x^36*z0 - 2*x^34*y*z0^2 + 2*x^34*z0^3 + x^32*y*z0^4 - 2*x^35*y + 2*x^35*z0 + x^33*y*z0^2 - x^34*z0 + x^32*y*z0^2 + x^32*z0^3 + x^30*y*z0^4 - x^33*y + 2*x^31*z0^3 - 2*x^29*y*z0^4 + 2*x^32*y - 2*x^32*z0 - 2*x^30*y*z0^2 - x^30*z0^3 + 2*x^28*y*z0^4 + x^31*z0 - x^29*y*z0^2 - 2*x^29*z0^3 + 2*x^27*y*z0^4 + 2*x^30*y - 2*x^30*z0 - 2*x^28*y*z0^2 + x^28*z0^3 + x^26*y*z0^4 + x^29*y - 2*x^27*y*z0^2 - x^25*y*z0^4 + x^28*y - x^26*y*z0^2 - 2*x^26*z0^3 - 2*x^27*y + x^27*z0 + x^25*y*z0^2 - 2*x^25*z0^3 - x^23*y*z0^4 + x^26*y - x^26*z0 - 2*x^24*y*z0^2 - 2*x^24*z0^3 - 2*x^22*y*z0^4 + 2*x^25*y + 2*x^23*y*z0^2 + x^23*z0^3 - x^21*y*z0^4 - x^22*y*z0^2 - 2*x^22*z0^3 + x^23*y + x^23*z0 - 2*x^21*y*z0^2 - 2*x^21*z0^3 + x^19*y*z0^4 + x^22*y - x^22*z0 - 2*x^20*z0^3 + x^18*y*z0^4 - 2*x^21*y - 2*x^21*z0 - 2*x^19*z0^3 - x^17*y*z0^4 - 2*x^20*y - x^20*z0 - 2*x^18*y*z0^2 - 2*x^18*z0^3 + x^16*y*z0^4 - 2*x^19*y + x^19*z0 + 2*x^17*y*z0^2 - x^15*y*z0^4 - 2*x^18*y + x^18*z0 - x^16*y*z0^2 + x^16*z0^3 - x^14*y*z0^4 + x^17*y - x^17*z0 - x^15*y*z0^2 - 2*x^15*z0^3 - x^13*y*z0^4 + 2*x^16*y - x^14*y*z0^2 + x^12*y*z0^4 - 2*x^15*y + 2*x^15*z0 - x^13*y*z0^2 + 2*x^13*z0^3 - x^11*y*z0^4 + 2*x^12*y*z0^2 + x^12*z0^3 + 2*x^10*y*z0^4 + x^13*y - 2*x^13*z0 - x^11*z0^3 + x^9*y*z0^4 + x^12*y - x^10*y*z0^2 + 2*x^10*z0^3 - x^8*y*z0^4 - x^11*z0 - x^9*y*z0^2 + 2*x^9*z0^3 + 2*x^7*y*z0^4 - x^10*z0 - 2*x^8*z0^3 + 2*x^6*y*z0^4 + 2*x^9*z0 + 2*x^7*y*z0^2 - 2*x^5*y*z0^4 + 2*x^8*y + 2*x^8*z0 + 2*x^6*y*z0^2 - 2*x^6*z0^3 + 2*x^4*y*z0^4 - 2*x^6*y - x^6*z0 + 2*x^2*y*z0^4 - 2*x^5*y - 2*x^5*z0 - 2*x^3*y*z0^2 - 2*x^3*z0^3 + 2*x^4*y - x^4*z0 + x^2*y*z0^2 + x^2*z0^3 - x^3*y - x^2*y - x^2*z0)/y) * dx,
+ ((-2*x^61*z0^4 + x^60*z0^4 + 2*x^58*y^2*z0^4 + 2*x^61*z0^2 + 2*x^59*z0^4 - x^57*y^2*z0^4 + x^60*z0^2 - 2*x^58*y^2*z0^2 + 2*x^58*z0^4 - 2*x^56*y^2*z0^4 - x^57*y^2*z0^2 - x^57*z0^4 - 2*x^58*z0^2 - 2*x^56*z0^4 - x^57*z0^2 - 2*x^55*z0^4 + x^54*z0^4 + 2*x^55*z0^2 + 2*x^53*z0^4 + x^54*z0^2 + 2*x^52*z0^4 - x^51*z0^4 - 2*x^52*z0^2 - 2*x^50*z0^4 - x^51*z0^2 - 2*x^49*z0^4 + x^48*z0^4 + 2*x^49*z0^2 + 2*x^47*z0^4 + x^48*z0^2 + 2*x^46*z0^4 - 2*x^45*z0^4 - 2*x^46*z0^2 - 2*x^44*z0^4 + x^42*y^2*z0^4 - x^45*z0^2 - 2*x^43*z0^4 + 2*x^42*z0^4 + 2*x^43*z0^2 + x^42*z0^2 - x^40*y*z0^3 - 2*x^40*z0^4 + 2*x^41*z0^2 + 2*x^39*y*z0^3 - x^39*z0^4 + x^40*y*z0 + 2*x^40*z0^2 + x^38*y*z0^3 + x^38*z0^4 - 2*x^41 - x^39*y*z0 + 2*x^39*z0^2 - x^37*y*z0^3 - 2*x^40 - x^38*z0^2 + x^36*y*z0^3 + 2*x^36*z0^4 + 2*x^37*y*z0 - 2*x^35*y*z0^3 + x^35*z0^4 - x^36*y*z0 - 2*x^36*z0^2 + x^34*y*z0^3 + 2*x^34*z0^4 - x^35*z0^2 - x^33*y*z0^3 + x^33*z0^4 - x^36 + x^34*y*z0 - 2*x^34*z0^2 - 2*x^32*y*z0^3 - x^32*z0^4 + 2*x^35 + 2*x^33*y*z0 + 2*x^31*y*z0^3 - 2*x^34 + 2*x^32*z0^2 - 2*x^30*y*z0^3 - 2*x^30*z0^4 + 2*x^33 + x^31*y*z0 + x^31*z0^2 - x^29*y*z0^3 + 2*x^29*z0^4 - x^32 - x^30*y*z0 + 2*x^30*z0^2 + 2*x^28*y*z0^3 - x^28*z0^4 - x^27*y*z0^3 - 2*x^27*z0^4 + x^28*y*z0 + 2*x^28*z0^2 - 2*x^26*y*z0^3 + x^26*z0^4 - 2*x^29 - 2*x^25*y*z0^3 - x^28 + 2*x^26*z0^2 + 2*x^24*y*z0^3 + x^24*z0^4 + x^27 + 2*x^25*y*z0 - x^25*z0^2 + 2*x^23*y*z0^3 - 2*x^23*z0^4 - 2*x^26 - x^24*y*z0 + 2*x^24*z0^2 + x^22*y*z0^3 - x^25 - x^23*y*z0 + 2*x^23*z0^2 + x^21*y*z0^3 + 2*x^24 - x^22*z0^2 - x^20*z0^4 - x^23 + 2*x^21*y*z0 + x^21*z0^2 - x^19*z0^4 + 2*x^22 + 2*x^20*y*z0 - 2*x^20*z0^2 - x^18*y*z0^3 - x^18*z0^4 - x^19*y*z0 - 2*x^17*y*z0^3 + x^20 + 2*x^18*y*z0 - x^18*z0^2 + x^16*y*z0^3 + x^16*z0^4 - 2*x^17*y*z0 + 2*x^17*z0^2 - x^15*y*z0^3 - x^18 + x^16*z0^2 - x^14*z0^4 + 2*x^17 - x^15*y*z0 - x^15*z0^2 + x^13*y*z0^3 + 2*x^16 - 2*x^14*y*z0 - x^14*z0^2 - 2*x^12*y*z0^3 - x^12*z0^4 - 2*x^15 + x^13*z0^2 + x^11*y*z0^3 + x^11*z0^4 + 2*x^12*y*z0 + 2*x^12*z0^2 + x^10*z0^4 - x^13 + x^11*z0^2 - x^9*y*z0^3 + x^9*z0^4 - 2*x^12 - x^10*z0^2 - 2*x^8*y*z0^3 + x^8*z0^4 + x^11 + x^9*y*z0 + x^9*z0^2 + x^7*y*z0^3 - 2*x^7*z0^4 + x^10 - x^8*y*z0 - x^8*z0^2 - x^6*z0^4 + x^7*z0^2 + x^5*z0^4 + 2*x^8 + x^6*y*z0 + x^6*z0^2 + x^4*y*z0^3 - 2*x^4*z0^4 - x^7 + 2*x^5*y*z0 + 2*x^5*z0^2 + x^3*y*z0^3 - x^3*z0^4 - x^6 + 2*x^4*y*z0 + x^4*z0^2 + 2*x^2*z0^4 + x^5 + 2*x^3*y*z0 - 2*x^3*z0^2 + 2*x^2*z0^2 + 2*x^3 + 2*x^2)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((x^61*z0^4 - x^58*y^2*z0^4 - x^59*z0^4 - 2*x^60*z0^2 - x^58*z0^4 + x^56*y^2*z0^4 + x^61 + 2*x^57*y^2*z0^2 + x^60 - x^58*y^2 + x^56*z0^4 - x^57*y^2 + 2*x^57*z0^2 + x^55*z0^4 - x^58 - x^57 - x^53*z0^4 - 2*x^54*z0^2 - x^52*z0^4 + x^55 + x^54 + x^50*z0^4 + 2*x^51*z0^2 + x^49*z0^4 - x^52 - x^51 - x^47*z0^4 - 2*x^48*z0^2 - x^46*z0^4 + x^49 + x^48 + x^44*z0^4 + 2*x^45*z0^2 + x^43*z0^4 - 2*x^46 - x^45 + x^43*y^2 - 2*x^41*z0^4 - 2*x^42*z0^2 - 2*x^40*y*z0^3 + x^40*z0^4 + 2*x^43 - 2*x^39*z0^4 + x^42 + x^38*y*z0^3 - 2*x^38*z0^4 - x^41 - 2*x^39*y*z0 + 2*x^39*z0^2 - 2*x^37*y*z0^3 - 2*x^37*z0^4 + 2*x^40 + x^38*y*z0 - 2*x^36*z0^4 - 2*x^39 + x^37*y*z0 - 2*x^37*z0^2 - x^35*y*z0^3 + x^38 + 2*x^36*y*z0 - 2*x^36*z0^2 - 2*x^34*y*z0^3 + 2*x^37 + x^35*y*z0 - 2*x^35*z0^2 + 2*x^33*y*z0^3 - x^33*z0^4 - x^36 + 2*x^34*y*z0 - x^34*z0^2 + x^32*z0^4 - 2*x^33*y*z0 - x^33*z0^2 - 2*x^31*y*z0^3 + x^31*z0^4 - x^34 - 2*x^32*y*z0 + x^32*z0^2 + 2*x^30*y*z0^3 - 2*x^31*z0^2 - 2*x^29*y*z0^3 + x^29*z0^4 + 2*x^32 - 2*x^30*y*z0 + 2*x^30*z0^2 - x^31 - x^29*z0^2 - x^27*z0^4 - 2*x^30 + 2*x^28*y*z0 - x^28*z0^2 - 2*x^26*y*z0^3 - x^27*y*z0 - x^27*z0^2 + x^25*y*z0^3 + 2*x^25*z0^4 + 2*x^26*y*z0 + x^26*z0^2 + x^24*y*z0^3 + x^24*z0^4 + 2*x^27 - x^25*y*z0 - 2*x^25*z0^2 + x^23*y*z0^3 + x^23*z0^4 + x^24*y*z0 - 2*x^24*z0^2 + 2*x^22*y*z0^3 - x^22*z0^4 - 2*x^25 + 2*x^23*z0^2 - 2*x^21*y*z0^3 - x^21*z0^4 - x^24 + 2*x^22*y*z0 + 2*x^22*z0^2 - 2*x^20*y*z0^3 + 2*x^23 + x^21*y*z0 + 2*x^21*z0^2 + x^19*y*z0^3 - 2*x^19*z0^4 - x^20*y*z0 + 2*x^18*y*z0^3 - x^21 + 2*x^19*y*z0 - 2*x^19*z0^2 + 2*x^17*z0^4 + 2*x^20 + 2*x^18*y*z0 + 2*x^18*z0^2 + 2*x^16*y*z0^3 + x^16*z0^4 - 2*x^19 + 2*x^15*y*z0^3 + 2*x^15*z0^4 + x^18 - 2*x^16*y*z0 + x^16*z0^2 - 2*x^14*y*z0^3 + x^14*z0^4 - x^17 + x^15*y*z0 - 2*x^15*z0^2 - 2*x^13*y*z0^3 + x^13*z0^4 + x^14*y*z0 + 2*x^14*z0^2 - 2*x^12*y*z0^3 - 2*x^12*z0^4 - x^15 + 2*x^13*y*z0 + 2*x^13*z0^2 + 2*x^11*z0^4 + 2*x^12*y*z0 + x^12*z0^2 - x^10*y*z0^3 + x^10*z0^4 + x^13 - 2*x^11*y*z0 + 2*x^11*z0^2 + 2*x^9*y*z0^3 - x^9*z0^4 - x^10*y*z0 + x^10*z0^2 + 2*x^8*y*z0^3 + 2*x^8*z0^4 + x^11 + x^9*y*z0 + 2*x^9*z0^2 - x^7*z0^4 - x^6*y*z0^3 + 2*x^6*z0^4 + x^7*z0^2 - 2*x^5*z0^4 - x^8 - x^4*z0^4 - 2*x^7 + 2*x^5*y*z0 - x^5*z0^2 - 2*x^3*y*z0^3 + 2*x^3*z0^4 - x^6 + x^4*y*z0 - x^2*y*z0^3 + x^2*z0^4 - x^3*y*z0 - 2*x^3*z0^2 + 2*x^2*y*z0 + 2*x^2*z0^2 - x^3)/y) * dx,
+ ((-x^61*z0^3 + x^58*y^2*z0^3 - 2*x^59*z0^3 + x^60*z0 - x^58*z0^3 + 2*x^56*y^2*z0^3 - 2*x^59*z0 - x^57*y^2*z0 + x^57*z0^3 + 2*x^55*y^2*z0^3 + 2*x^56*y^2*z0 + 2*x^56*z0^3 - x^54*y^2*z0^3 - x^57*z0 + x^55*z0^3 + 2*x^56*z0 - x^54*z0^3 - 2*x^53*z0^3 + x^54*z0 - x^52*z0^3 - 2*x^53*z0 + x^51*z0^3 + 2*x^50*z0^3 - x^51*z0 + x^49*z0^3 + 2*x^50*z0 - x^48*z0^3 - 2*x^47*z0^3 + x^48*z0 - x^46*z0^3 - 2*x^47*z0 + x^45*z0^3 - x^46*z0 + 2*x^44*z0^3 - x^45*z0 + x^43*y^2*z0 + x^43*z0^3 + 2*x^44*z0 - x^42*z0^3 + x^43*z0 + 2*x^41*z0^3 - x^39*y*z0^4 + x^42*z0 + 2*x^40*y*z0^2 - x^40*z0^3 - 2*x^38*y*z0^4 - 2*x^41*z0 + x^39*z0^3 + x^40*z0 - x^38*y*z0^2 - 2*x^38*z0^3 - 2*x^36*y*z0^4 - x^39*y - x^37*y*z0^2 + x^37*z0^3 + x^36*y*z0^2 - 2*x^36*z0^3 + x^34*y*z0^4 + 2*x^35*z0^3 - x^36*y - x^36*z0 - 2*x^34*y*z0^2 + x^34*z0^3 + x^35*y - 2*x^35*z0 + 2*x^33*y*z0^2 - x^33*z0^3 - 2*x^31*y*z0^4 - 2*x^34*y + 2*x^32*y*z0^2 - x^32*z0^3 + x^30*y*z0^4 - x^33*y - x^31*y*z0^2 - x^31*z0^3 + x^29*y*z0^4 - 2*x^32*y - x^32*z0 - x^30*y*z0^2 - x^30*z0^3 - 2*x^28*y*z0^4 + x^31*y - 2*x^31*z0 + 2*x^29*y*z0^2 - x^29*z0^3 - 2*x^27*y*z0^4 - x^30*y + 2*x^30*z0 + 2*x^28*y*z0^2 - x^28*z0^3 - x^26*y*z0^4 + x^29*y + x^29*z0 - 2*x^27*y*z0^2 - 2*x^27*z0^3 - 2*x^25*y*z0^4 + 2*x^28*y - 2*x^28*z0 + x^26*y*z0^2 + 2*x^26*z0^3 - x^24*y*z0^4 - 2*x^27*y - 2*x^27*z0 + x^25*z0^3 - x^23*y*z0^4 - x^26*y + x^26*z0 - 2*x^24*y*z0^2 - 2*x^24*z0^3 + x^22*y*z0^4 - x^25*y - 2*x^25*z0 - x^23*y*z0^2 - 2*x^23*z0^3 + 2*x^21*y*z0^4 + 2*x^24*y + x^24*z0 + x^22*y*z0^2 - x^20*y*z0^4 - x^23*y + x^21*y*z0^2 - x^21*z0^3 + 2*x^19*y*z0^4 - x^22*y + 2*x^22*z0 + 2*x^20*y*z0^2 - 2*x^20*z0^3 + x^18*y*z0^4 + x^21*y + x^21*z0 - x^19*y*z0^2 + x^19*z0^3 + 2*x^17*y*z0^4 - x^20*y + 2*x^20*z0 + 2*x^18*y*z0^2 - x^18*z0^3 + 2*x^16*y*z0^4 - x^19*y - x^19*z0 + 2*x^17*z0^3 - x^15*y*z0^4 + x^18*y - 2*x^18*z0 - 2*x^16*y*z0^2 - 2*x^16*z0^3 + 2*x^14*y*z0^4 - 2*x^17*y + 2*x^17*z0 + 2*x^15*y*z0^2 - x^15*z0^3 + x^13*y*z0^4 + x^16*y + 2*x^16*z0 - x^14*y*z0^2 + x^12*y*z0^4 - x^15*y + 2*x^15*z0 + x^13*y*z0^2 + 2*x^11*y*z0^4 - 2*x^14*y - 2*x^14*z0 + 2*x^12*z0^3 + x^10*y*z0^4 + x^9*y*z0^4 - 2*x^12*y + x^12*z0 - 2*x^10*y*z0^2 + 2*x^10*z0^3 + x^8*y*z0^4 + 2*x^11*z0 - x^9*y*z0^2 + x^9*z0^3 + x^7*y*z0^4 - 2*x^10*y + 2*x^10*z0 + x^8*y*z0^2 + x^8*z0^3 - 2*x^6*y*z0^4 - x^7*y*z0^2 - 2*x^7*z0^3 + 2*x^5*y*z0^4 - 2*x^8*y + x^6*y*z0^2 - 2*x^6*z0^3 + 2*x^4*y*z0^4 - x^7*y - 2*x^7*z0 - 2*x^5*z0^3 + x^3*y*z0^4 + x^6*y - 2*x^6*z0 + x^4*y*z0^2 - 2*x^4*z0^3 - x^2*y*z0^4 + 2*x^5*y - 2*x^5*z0 + x^3*y*z0^2 - x^3*z0^3 + x^4*y - 2*x^4*z0 + 2*x^2*y*z0^2 - 2*x^2*z0^3 - 2*x^3*y + 2*x^3*z0 - 2*x^2*y - 2*x^2*z0)/y) * dx,
+ ((2*x^61*z0^4 + x^60*z0^4 - 2*x^58*y^2*z0^4 + 2*x^59*z0^4 - x^57*y^2*z0^4 - 2*x^58*z0^4 - 2*x^56*y^2*z0^4 - 2*x^61 - x^57*z0^4 + 2*x^60 + 2*x^58*y^2 - 2*x^56*z0^4 - 2*x^57*y^2 + 2*x^55*z0^4 + 2*x^58 + x^54*z0^4 - 2*x^57 + 2*x^53*z0^4 - 2*x^52*z0^4 - 2*x^55 - x^51*z0^4 + 2*x^54 - 2*x^50*z0^4 + 2*x^49*z0^4 + 2*x^52 + x^48*z0^4 - 2*x^51 + 2*x^47*z0^4 - 2*x^46*z0^4 - 2*x^49 - x^45*z0^4 + 2*x^48 - x^46*z0^2 - 2*x^44*z0^4 + x^43*y^2*z0^2 + 2*x^43*z0^4 + 2*x^46 + x^42*z0^4 - 2*x^45 + x^43*z0^2 - 2*x^41*z0^4 + x^40*y*z0^3 + x^40*z0^4 - 2*x^43 + 2*x^39*z0^4 + 2*x^42 - x^40*z0^2 - x^38*y*z0^3 + 2*x^38*z0^4 + x^41 + 2*x^40 - 2*x^38*y*z0 + 2*x^36*z0^4 + x^39 - x^37*z0^2 - 2*x^35*z0^4 + x^38 + 2*x^36*y*z0 - 2*x^34*z0^4 + 2*x^37 + 2*x^35*y*z0 - x^35*z0^2 + x^33*z0^4 - 2*x^34*y*z0 + 2*x^34*z0^2 - 2*x^32*y*z0^3 + 2*x^32*z0^4 - 2*x^35 + x^33*y*z0 - x^31*y*z0^3 - 2*x^31*z0^4 + x^34 - x^30*y*z0^3 + 2*x^30*z0^4 - 2*x^33 - 2*x^31*y*z0 - 2*x^31*z0^2 + x^29*y*z0^3 - x^29*z0^4 - x^32 + 2*x^30*y*z0 - x^28*y*z0^3 - 2*x^28*z0^4 + 2*x^31 - x^29*y*z0 + x^27*z0^4 - x^30 - x^28*y*z0 + x^28*z0^2 - x^26*y*z0^3 + 2*x^26*z0^4 + 2*x^29 - x^27*y*z0 - 2*x^27*z0^2 - x^25*y*z0^3 - x^25*z0^4 - x^28 - 2*x^26*y*z0 - x^26*z0^2 + x^27 - x^25*y*z0 - 2*x^25*z0^2 + x^23*y*z0^3 + x^23*z0^4 - 2*x^26 - 2*x^24*y*z0 - x^22*z0^4 + 2*x^25 - x^23*y*z0 + 2*x^23*z0^2 + x^21*z0^4 + x^24 + 2*x^22*y*z0 - 2*x^22*z0^2 + x^20*y*z0^3 - x^23 - x^21*y*z0 + 2*x^19*y*z0^3 - x^19*z0^4 + x^22 + 2*x^20*y*z0 - x^20*z0^2 - 2*x^18*y*z0^3 + 2*x^18*z0^4 + x^21 - 2*x^19*y*z0 - x^19*z0^2 + 2*x^17*y*z0^3 - x^17*z0^4 - x^20 + 2*x^18*y*z0 + 2*x^18*z0^2 - 2*x^16*y*z0^3 - x^16*z0^4 - x^19 + x^17*y*z0 - 2*x^17*z0^2 + 2*x^15*y*z0^3 - 2*x^15*z0^4 - x^16*y*z0 + x^14*z0^4 - x^17 - x^13*y*z0^3 - 2*x^13*z0^4 + 2*x^16 - 2*x^14*z0^2 + 2*x^12*y*z0^3 + x^12*z0^4 - 2*x^15 + x^13*y*z0 + 2*x^11*y*z0^3 - x^11*z0^4 - x^14 + 2*x^12*z0^2 + 2*x^10*y*z0^3 + 2*x^9*y*z0^3 - 2*x^9*z0^4 - 2*x^10*y*z0 - x^10*z0^2 + 2*x^8*y*z0^3 + x^8*z0^4 + 2*x^9*y*z0 + x^7*y*z0^3 - 2*x^7*z0^4 - x^10 + 2*x^8*y*z0 - x^8*z0^2 - x^6*y*z0^3 + 2*x^6*z0^4 + 2*x^9 + 2*x^7*y*z0 - x^7*z0^2 - x^5*y*z0^3 - x^5*z0^4 + 2*x^8 - x^6*y*z0 + x^6*z0^2 - 2*x^4*y*z0^3 + x^4*z0^4 + 2*x^5*y*z0 + x^5*z0^2 + x^3*z0^4 + x^6 - x^4*y*z0 + x^4*z0^2 - x^2*y*z0^3 + 2*x^2*z0^4 + x^5 + x^3*y*z0 - x^3*z0^2 - 2*x^2*y*z0 + 2*x^2*z0^2 + 2*x^3 + x^2)/y) * dx,
+ ((x^61*z0^3 - x^60*z0^3 - x^58*y^2*z0^3 + 2*x^61*z0 + 2*x^59*z0^3 + x^57*y^2*z0^3 + x^60*z0 - 2*x^58*y^2*z0 + x^58*z0^3 - 2*x^56*y^2*z0^3 + 2*x^59*z0 - x^57*y^2*z0 + x^57*z0^3 - 2*x^55*y^2*z0^3 - 2*x^58*z0 - 2*x^56*y^2*z0 - 2*x^56*z0^3 - x^57*z0 - x^55*z0^3 - 2*x^56*z0 - x^54*z0^3 + 2*x^55*z0 + 2*x^53*z0^3 + x^54*z0 + x^52*z0^3 + 2*x^53*z0 + x^51*z0^3 - 2*x^52*z0 - 2*x^50*z0^3 - x^51*z0 - x^49*z0^3 - 2*x^50*z0 - x^48*z0^3 + 2*x^49*z0 + 2*x^47*z0^3 + x^48*z0 + 2*x^47*z0 + x^45*z0^3 + x^43*y^2*z0^3 - 2*x^46*z0 - 2*x^44*z0^3 - x^45*z0 - 2*x^44*z0 - x^42*z0^3 + 2*x^43*z0 - 2*x^41*z0^3 + x^39*y*z0^4 + x^42*z0 - 2*x^40*y*z0^2 + x^40*z0^3 - x^38*y*z0^4 - x^41*z0 + 2*x^39*y*z0^2 + x^39*z0^3 - 2*x^37*y*z0^4 + x^40*y + 2*x^38*z0^3 + 2*x^36*y*z0^4 - 2*x^39*y + x^39*z0 + x^37*y*z0^2 - x^37*z0^3 + x^35*y*z0^4 + 2*x^38*y - x^38*z0 + 2*x^34*y*z0^4 + 2*x^37*y - 2*x^35*y*z0^2 - 2*x^35*z0^3 + x^33*y*z0^4 + x^36*y - x^34*y*z0^2 + 2*x^34*z0^3 + x^32*y*z0^4 - 2*x^35*z0 - x^33*y*z0^2 + x^33*z0^3 - x^31*y*z0^4 - 2*x^34*y - x^34*z0 + 2*x^32*y*z0^2 + x^32*z0^3 + x^30*y*z0^4 + 2*x^33*y - 2*x^33*z0 + x^31*y*z0^2 + 2*x^31*z0^3 - x^29*y*z0^4 + 2*x^32*y + x^32*z0 - 2*x^30*y*z0^2 + x^30*z0^3 + 2*x^31*y - 2*x^31*z0 + x^29*z0^3 + x^30*y - 2*x^28*y*z0^2 + 2*x^26*y*z0^4 + 2*x^29*y + x^29*z0 + 2*x^27*y*z0^2 - x^27*z0^3 - x^25*y*z0^4 - 2*x^28*y - 2*x^28*z0 + 2*x^26*z0^3 + 2*x^24*y*z0^4 + 2*x^27*y - 2*x^27*z0 - 2*x^25*y*z0^2 + x^25*z0^3 - x^23*y*z0^4 + x^26*y + 2*x^26*z0 + x^24*y*z0^2 - 2*x^24*z0^3 + x^22*y*z0^4 + 2*x^25*y + 2*x^25*z0 - 2*x^23*y*z0^2 - 2*x^23*z0^3 - 2*x^21*y*z0^4 - 2*x^24*y + 2*x^24*z0 - x^22*y*z0^2 + 2*x^22*z0^3 + x^20*y*z0^4 + 2*x^23*y - x^23*z0 - 2*x^21*y*z0^2 - 2*x^21*z0^3 + x^19*y*z0^4 + x^22*y + x^22*z0 + x^20*y*z0^2 + 2*x^20*z0^3 - x^18*y*z0^4 + 2*x^21*y + x^19*z0^3 + x^17*y*z0^4 + 2*x^20*y - x^20*z0 + 2*x^18*y*z0^2 - x^18*z0^3 - x^16*y*z0^4 - x^19*y + x^19*z0 - x^17*y*z0^2 + 2*x^17*z0^3 + x^15*y*z0^4 - 2*x^18*y - 2*x^18*z0 + x^16*y*z0^2 + x^16*z0^3 - 2*x^17*y - x^17*z0 - x^15*y*z0^2 - 2*x^15*z0^3 - 2*x^13*y*z0^4 + x^16*y + x^16*z0 + x^14*y*z0^2 + x^14*z0^3 - 2*x^12*y*z0^4 - x^15*y - 2*x^13*y*z0^2 - 2*x^11*y*z0^4 + x^14*y - x^12*z0^3 - x^10*y*z0^4 + x^11*y*z0^2 - 2*x^11*z0^3 - x^9*y*z0^4 - 2*x^12*z0 + x^10*y*z0^2 - x^8*y*z0^4 - 2*x^11*y + x^9*z0^3 - 2*x^10*y - 2*x^10*z0 - 2*x^8*y*z0^2 - x^8*z0^3 - x^6*y*z0^4 + x^9*z0 - 2*x^7*y*z0^2 - x^7*z0^3 + 2*x^5*y*z0^4 + x^8*y - 2*x^6*y*z0^2 - 2*x^6*z0^3 - 2*x^4*y*z0^4 + x^7*y + x^7*z0 - x^5*y*z0^2 + 2*x^5*z0^3 + x^3*y*z0^4 - 2*x^6*y - x^6*z0 - 2*x^4*y*z0^2 + x^4*z0^3 - x^2*y*z0^4 + x^5*y + 2*x^5*z0 - x^3*y*z0^2 - 2*x^3*z0^3 + 2*x^2*y*z0^2 - x^2*z0^3 - 2*x^3*z0 - x^2*y)/y) * dx,
+ ((-x^60*z0^4 + x^61*z0^2 + 2*x^59*z0^4 + x^57*y^2*z0^4 + x^60*z0^2 - x^58*y^2*z0^2 - 2*x^56*y^2*z0^4 - x^61 - x^57*y^2*z0^2 + x^57*z0^4 + 2*x^60 + x^58*y^2 - x^58*z0^2 - 2*x^56*z0^4 - 2*x^57*y^2 - x^57*z0^2 + x^58 - x^54*z0^4 - 2*x^57 + x^55*z0^2 + 2*x^53*z0^4 + x^54*z0^2 - x^55 + x^51*z0^4 + 2*x^54 - x^52*z0^2 - 2*x^50*z0^4 - x^51*z0^2 + x^52 - x^48*z0^4 - 2*x^51 + x^49*z0^2 + 2*x^47*z0^4 + x^48*z0^2 - x^46*z0^4 - x^49 + x^45*z0^4 + x^43*y^2*z0^4 + 2*x^48 - x^46*z0^2 - 2*x^44*z0^4 - x^45*z0^2 + x^43*z0^4 + x^46 - x^42*z0^4 - 2*x^45 + x^43*z0^2 - x^41*z0^4 + x^42*z0^2 + x^40*z0^4 - x^43 + x^41*z0^2 + x^39*y*z0^3 + 2*x^42 - 2*x^40*y*z0 - 2*x^40*z0^2 - x^38*y*z0^3 - x^38*z0^4 + 2*x^41 + x^39*y*z0 - 2*x^39*z0^2 - 2*x^37*y*z0^3 + 2*x^40 + 2*x^38*y*z0 + 2*x^38*z0^2 - 2*x^36*y*z0^3 - x^36*z0^4 + x^39 - x^37*y*z0 - x^37*z0^2 - 2*x^35*y*z0^3 - x^35*z0^4 - 2*x^38 - x^36*y*z0 + 2*x^36*z0^2 + x^34*y*z0^3 - x^34*z0^4 - x^37 + 2*x^35*y*z0 + 2*x^35*z0^2 + x^33*y*z0^3 - 2*x^36 + 2*x^34*y*z0 - 2*x^34*z0^2 - x^32*y*z0^3 - 2*x^32*z0^4 + x^35 + 2*x^33*y*z0 + x^33*z0^2 + x^31*z0^4 - 2*x^34 + 2*x^32*y*z0 - 2*x^32*z0^2 + x^30*z0^4 + 2*x^33 + x^31*z0^2 - x^29*z0^4 - x^32 + 2*x^30*y*z0 + 2*x^28*y*z0^3 - x^28*z0^4 + 2*x^31 - x^29*y*z0 + x^29*z0^2 + 2*x^27*y*z0^3 + 2*x^27*z0^4 - 2*x^30 - 2*x^28*y*z0 - x^28*z0^2 + 2*x^26*y*z0^3 + x^26*z0^4 - 2*x^29 + 2*x^27*z0^2 - x^25*z0^4 + 2*x^28 + 2*x^24*y*z0^3 - x^24*z0^4 + 2*x^27 + 2*x^25*y*z0 - 2*x^25*z0^2 - 2*x^23*y*z0^3 - 2*x^23*z0^4 - 2*x^26 - x^24*y*z0 - 2*x^24*z0^2 - x^22*y*z0^3 + 2*x^22*z0^4 + 2*x^25 - x^23*y*z0 + x^23*z0^2 + x^21*z0^4 - 2*x^24 - x^22*y*z0 + 2*x^22*z0^2 + x^20*y*z0^3 - 2*x^20*z0^4 + 2*x^23 + 2*x^21*y*z0 - x^21*z0^2 + x^19*y*z0^3 + x^19*z0^4 + x^20*y*z0 - x^20*z0^2 + 2*x^18*y*z0^3 - x^18*z0^4 - x^21 - x^19*y*z0 - 2*x^17*y*z0^3 + x^17*z0^4 - x^20 - x^18*y*z0 - x^18*z0^2 - 2*x^16*y*z0^3 + x^16*z0^4 - x^17*y*z0 - x^17*z0^2 + 2*x^15*y*z0^3 + x^18 + x^16*y*z0 - x^16*z0^2 - x^14*y*z0^3 - 2*x^14*z0^4 + 2*x^17 + 2*x^15*y*z0 + x^15*z0^2 + 2*x^13*y*z0^3 + 2*x^16 + 2*x^14*y*z0 - x^12*y*z0^3 - 2*x^12*z0^4 + 2*x^15 + 2*x^13*y*z0 + x^13*z0^2 + x^10*z0^4 - 2*x^13 + 2*x^11*y*z0 - 2*x^11*z0^2 - x^9*z0^4 - 2*x^12 + 2*x^10*y*z0 + 2*x^10*z0^2 - x^11 - x^9*z0^2 + 2*x^7*y*z0^3 + x^7*z0^4 - 2*x^10 + 2*x^8*y*z0 + 2*x^6*y*z0^3 + 2*x^9 - x^7*y*z0 + x^7*z0^2 - x^5*y*z0^3 + 2*x^5*z0^4 + x^6*y*z0 + 2*x^6*z0^2 + 2*x^4*y*z0^3 + x^7 + x^5*y*z0 + x^5*z0^2 - x^3*y*z0^3 + 2*x^3*z0^4 - 2*x^6 - x^4*z0^2 - 2*x^2*y*z0^3 + x^2*z0^4 - x^5 + 2*x^3*y*z0 + x^3*z0^2 - x^2*y*z0 + x^2*z0^2 + 2*x^3)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((2*x^61*z0^4 + 2*x^60*z0^4 - 2*x^58*y^2*z0^4 - x^61*z0^2 - 2*x^57*y^2*z0^4 + 2*x^60*z0^2 + x^58*y^2*z0^2 - 2*x^58*z0^4 + 2*x^61 - 2*x^57*y^2*z0^2 - 2*x^57*z0^4 + x^60 - 2*x^58*y^2 + x^58*z0^2 - x^57*y^2 - 2*x^57*z0^2 + 2*x^55*z0^4 - 2*x^58 + 2*x^54*z0^4 - x^57 - x^55*z0^2 + 2*x^54*z0^2 - 2*x^52*z0^4 + 2*x^55 - 2*x^51*z0^4 + x^54 + x^52*z0^2 - 2*x^51*z0^2 + 2*x^49*z0^4 - 2*x^52 + 2*x^48*z0^4 - x^51 - x^49*z0^2 + 2*x^48*z0^2 - 2*x^46*z0^4 + 2*x^49 - 2*x^45*z0^4 + x^48 + x^46*z0^2 - x^47 - 2*x^45*z0^2 + 2*x^43*z0^4 - 2*x^46 + x^44*y^2 + 2*x^42*z0^4 - x^45 - x^43*z0^2 - 2*x^41*z0^4 + x^44 + 2*x^42*z0^2 + x^40*y*z0^3 - 2*x^40*z0^4 + 2*x^43 - x^41*z0^2 - x^39*y*z0^3 + x^39*z0^4 + x^42 + 2*x^40*y*z0 - x^40*z0^2 + x^38*y*z0^3 + x^38*z0^4 + 2*x^41 + 2*x^39*y*z0 - x^39*z0^2 - 2*x^37*y*z0^3 + 2*x^37*z0^4 + 2*x^40 - 2*x^38*y*z0 - 2*x^38*z0^2 + 2*x^36*y*z0^3 - 2*x^36*z0^4 + 2*x^39 + 2*x^37*y*z0 - 2*x^37*z0^2 + 2*x^38 + 2*x^36*y*z0 + x^36*z0^2 + 2*x^34*y*z0^3 - x^34*z0^4 - x^37 - x^35*y*z0 + 2*x^33*y*z0^3 - 2*x^33*z0^4 + x^36 + 2*x^34*y*z0 + 2*x^32*y*z0^3 + x^33*z0^2 - 2*x^31*y*z0^3 + 2*x^31*z0^4 + 2*x^34 + 2*x^32*z0^2 + 2*x^30*y*z0^3 - x^30*z0^4 - 2*x^33 - 2*x^31*y*z0 - x^29*z0^4 + x^32 + 2*x^28*y*z0^3 + x^28*z0^4 + x^31 - 2*x^29*y*z0 + x^29*z0^2 + 2*x^27*y*z0^3 + 2*x^27*z0^4 - 2*x^30 + x^28*y*z0 - 2*x^26*y*z0^3 + 2*x^26*z0^4 - x^27*y*z0 + 2*x^27*z0^2 + x^25*y*z0^3 + x^28 - 2*x^26*y*z0 - x^26*z0^2 - x^24*y*z0^3 + 2*x^24*z0^4 + 2*x^25*y*z0 + 2*x^25*z0^2 + x^23*y*z0^3 + x^23*z0^4 - 2*x^26 - 2*x^24*y*z0 + 2*x^24*z0^2 - 2*x^22*y*z0^3 + 2*x^22*z0^4 - 2*x^23*y*z0 - x^23*z0^2 + 2*x^21*y*z0^3 + 2*x^21*z0^4 - 2*x^24 - 2*x^22*y*z0 - 2*x^22*z0^2 - 2*x^20*y*z0^3 + 2*x^20*z0^4 + 2*x^23 - x^21*z0^2 - 2*x^19*y*z0^3 + 2*x^19*z0^4 - 2*x^20*y*z0 + x^20*z0^2 - x^18*y*z0^3 - x^18*z0^4 + 2*x^21 + 2*x^19*y*z0 + 2*x^19*z0^2 + 2*x^17*y*z0^3 + 2*x^17*z0^4 + 2*x^20 - x^18*y*z0 + x^18*z0^2 - x^16*y*z0^3 + x^19 + x^17*z0^2 - 2*x^15*y*z0^3 + x^15*z0^4 + x^18 - 2*x^16*y*z0 - 2*x^16*z0^2 + x^14*y*z0^3 - x^14*z0^4 - x^17 - 2*x^15*y*z0 - x^13*y*z0^3 + x^13*z0^4 + 2*x^16 - 2*x^14*y*z0 - 2*x^14*z0^2 + 2*x^12*y*z0^3 + 2*x^12*z0^4 + x^15 - x^13*y*z0 - 2*x^13*z0^2 + 2*x^11*y*z0^3 + x^11*z0^4 + 2*x^14 - x^12*z0^2 + x^10*z0^4 - x^11*y*z0 + x^11*z0^2 - x^9*y*z0^3 + x^10*y*z0 + x^10*z0^2 - 2*x^8*z0^4 - x^11 + 2*x^9*y*z0 - x^9*z0^2 + 2*x^7*y*z0^3 + x^7*z0^4 + x^10 - x^8*y*z0 + x^8*z0^2 + x^6*y*z0^3 - 2*x^6*z0^4 - 2*x^9 + 2*x^7*y*z0 - 2*x^7*z0^2 - 2*x^5*y*z0^3 + 2*x^5*z0^4 - x^8 + x^6*y*z0 - x^6*z0^2 - x^4*y*z0^3 - 2*x^4*z0^4 + x^5*y*z0 - x^5*z0^2 - x^3*y*z0^3 + x^3*z0^4 + 2*x^6 - 2*x^4*y*z0 - x^4*z0^2 - x^2*y*z0^3 - 2*x^2*z0^4 + 2*x^5 - 2*x^3*y*z0 + 2*x^2*y*z0 + 2*x^2*z0^2 - 2*x^3 + x^2)/y) * dx,
+ ((x^61*z0^3 - 2*x^60*z0^3 - x^58*y^2*z0^3 + 2*x^61*z0 + 2*x^57*y^2*z0^3 + 2*x^60*z0 - 2*x^58*y^2*z0 - 2*x^58*z0^3 + 2*x^59*z0 - 2*x^57*y^2*z0 + 2*x^57*z0^3 + x^55*y^2*z0^3 - 2*x^58*z0 - 2*x^56*y^2*z0 - 2*x^57*z0 + 2*x^55*z0^3 - 2*x^56*z0 - 2*x^54*z0^3 + 2*x^55*z0 + 2*x^54*z0 - 2*x^52*z0^3 + 2*x^53*z0 + 2*x^51*z0^3 - 2*x^52*z0 - 2*x^51*z0 + 2*x^49*z0^3 - 2*x^50*z0 - 2*x^48*z0^3 + 2*x^49*z0 + 2*x^48*z0 - 2*x^46*z0^3 + x^47*z0 + 2*x^45*z0^3 - 2*x^46*z0 + x^44*y^2*z0 - 2*x^45*z0 + 2*x^43*z0^3 - x^44*z0 - 2*x^42*z0^3 + 2*x^43*z0 + x^41*z0^3 + x^39*y*z0^4 + 2*x^42*z0 - 2*x^40*y*z0^2 - 2*x^41*z0 + 2*x^39*y*z0^2 - 2*x^39*z0^3 + 2*x^37*y*z0^4 + x^40*y + x^40*z0 + 2*x^38*y*z0^2 + 2*x^38*z0^3 - 2*x^36*y*z0^4 - 2*x^37*z0^3 + x^35*y*z0^4 + 2*x^38*y + 2*x^36*z0^3 - 2*x^34*y*z0^4 + 2*x^37*y + x^37*z0 + 2*x^35*z0^3 - x^33*y*z0^4 - x^36*y + x^36*z0 - x^34*z0^3 + 2*x^32*y*z0^4 - x^35*y - x^35*z0 - x^33*z0^3 + x^34*y - x^34*z0 - 2*x^30*y*z0^4 - 2*x^33*y + 2*x^33*z0 - 2*x^31*y*z0^2 + 2*x^31*z0^3 + x^29*y*z0^4 + x^32*y - x^32*z0 - x^30*y*z0^2 - 2*x^30*z0^3 - 2*x^31*y + x^31*z0 + 2*x^29*y*z0^2 + x^29*z0^3 + x^27*y*z0^4 - 2*x^30*y - 2*x^28*y*z0^2 - 2*x^26*y*z0^4 - 2*x^29*y - 2*x^27*y*z0^2 - 2*x^27*z0^3 + x^25*y*z0^4 - x^28*y - 2*x^28*z0 + x^26*y*z0^2 - x^26*z0^3 + x^24*y*z0^4 + x^27*z0 - 2*x^25*y*z0^2 + 2*x^25*z0^3 - x^23*y*z0^4 + 2*x^26*y + 2*x^26*z0 - x^24*z0^3 + x^25*y + x^25*z0 - x^23*y*z0^2 - 2*x^21*y*z0^4 - 2*x^24*z0 + x^22*z0^3 - 2*x^20*y*z0^4 + x^23*y + x^21*y*z0^2 + 2*x^21*z0^3 - 2*x^22*y + x^22*z0 - 2*x^20*y*z0^2 - x^20*z0^3 + x^18*y*z0^4 - x^21*y + x^21*z0 - x^19*y*z0^2 - x^19*z0^3 + 2*x^17*y*z0^4 - 2*x^20*z0 + x^18*y*z0^2 + x^18*z0^3 + 2*x^16*y*z0^4 - 2*x^19*y - 2*x^19*z0 - 2*x^17*y*z0^2 - 2*x^15*y*z0^4 - 2*x^18*y - x^18*z0 + x^16*y*z0^2 + x^16*z0^3 - 2*x^17*y + x^17*z0 - 2*x^15*y*z0^2 - x^15*z0^3 + x^13*y*z0^4 - 2*x^16*y + 2*x^14*y*z0^2 + 2*x^12*y*z0^4 + x^15*z0 + x^13*y*z0^2 - x^13*z0^3 - 2*x^11*y*z0^4 + x^14*y - 2*x^14*z0 - 2*x^12*y*z0^2 - 2*x^12*z0^3 - x^10*y*z0^4 + x^13*y - 2*x^11*y*z0^2 - 2*x^11*z0^3 - x^9*y*z0^4 + x^12*y - x^12*z0 + x^10*y*z0^2 + x^10*z0^3 + x^8*y*z0^4 + 2*x^11*y + 2*x^9*y*z0^2 - 2*x^9*z0^3 + 2*x^7*y*z0^4 - x^10*z0 - 2*x^8*y*z0^2 + 2*x^8*z0^3 + 2*x^6*y*z0^4 - x^9*y - 2*x^7*y*z0^2 - x^7*z0^3 - 2*x^8*y - 2*x^8*z0 - 2*x^6*y*z0^2 + 2*x^6*z0^3 - x^4*y*z0^4 - 2*x^7*y - x^7*z0 + 2*x^5*y*z0^2 - 2*x^3*y*z0^4 - x^6*z0 + 2*x^4*y*z0^2 + 2*x^4*z0^3 + x^2*y*z0^4 + x^5*y + 2*x^5*z0 - x^3*y*z0^2 - 2*x^3*z0^3 - x^4*z0 - 2*x^2*y*z0^2 - x^2*z0^3 - x^3*y - x^3*z0 + x^2*y - 2*x^2*z0)/y) * dx,
+ ((-2*x^61*z0^4 - x^60*z0^4 + 2*x^58*y^2*z0^4 - x^61*z0^2 + x^59*z0^4 + x^57*y^2*z0^4 + x^58*y^2*z0^2 + 2*x^58*z0^4 - x^56*y^2*z0^4 + 2*x^61 + x^57*z0^4 + 2*x^60 - 2*x^58*y^2 + x^58*z0^2 - x^56*z0^4 - 2*x^57*y^2 - 2*x^55*z0^4 - 2*x^58 - x^54*z0^4 - 2*x^57 - x^55*z0^2 + x^53*z0^4 + 2*x^52*z0^4 + 2*x^55 + x^51*z0^4 + 2*x^54 + x^52*z0^2 - x^50*z0^4 - 2*x^49*z0^4 - 2*x^52 - x^48*z0^4 - 2*x^51 - x^49*z0^2 + x^47*z0^4 + 2*x^46*z0^4 + 2*x^49 - x^47*z0^2 + x^45*z0^4 + 2*x^48 + x^46*z0^2 + x^44*y^2*z0^2 - x^44*z0^4 - 2*x^43*z0^4 - 2*x^46 + x^44*z0^2 - x^42*z0^4 - 2*x^45 - x^43*z0^2 - x^40*y*z0^3 - 2*x^40*z0^4 + 2*x^43 - 2*x^41*z0^2 - x^39*y*z0^3 + 2*x^39*z0^4 + 2*x^42 + 2*x^40*y*z0 - 2*x^38*y*z0^3 - 2*x^38*z0^4 - x^41 + x^39*z0^2 - x^37*y*z0^3 + 2*x^37*z0^4 + 2*x^40 - x^38*z0^2 + 2*x^36*y*z0^3 - x^36*z0^4 - 2*x^39 - 2*x^37*y*z0 - 2*x^37*z0^2 + 2*x^35*y*z0^3 - 2*x^35*z0^4 - x^36*y*z0 - x^36*z0^2 + 2*x^34*z0^4 + 2*x^35*z0^2 + 2*x^33*z0^4 + 2*x^36 - 2*x^34*y*z0 - 2*x^34*z0^2 + x^32*z0^4 + 2*x^33*z0^2 - 2*x^31*y*z0^3 + x^34 - 2*x^32*y*z0 - x^30*y*z0^3 + 2*x^33 - x^31*y*z0 - x^29*y*z0^3 - x^32 - 2*x^30*y*z0 - 2*x^30*z0^2 + x^28*y*z0^3 + x^28*z0^4 - 2*x^29*y*z0 - x^29*z0^2 + 2*x^27*y*z0^3 + x^27*z0^4 - x^30 + 2*x^28*y*z0 - 2*x^28*z0^2 - 2*x^26*y*z0^3 - 2*x^26*z0^4 - x^27*y*z0 - x^27*z0^2 + 2*x^25*y*z0^3 - 2*x^25*z0^4 + x^28 - 2*x^26*z0^2 + 2*x^24*y*z0^3 + 2*x^24*z0^4 - 2*x^27 - x^25*y*z0 + x^25*z0^2 - x^23*y*z0^3 - x^26 - 2*x^24*y*z0 - x^24*z0^2 + x^22*y*z0^3 - x^22*z0^4 - x^25 - x^23*z0^2 - x^21*y*z0^3 - x^21*z0^4 + 2*x^24 + 2*x^22*z0^2 + x^20*y*z0^3 + 2*x^20*z0^4 - x^23 - 2*x^21*z0^2 - 2*x^19*y*z0^3 - 2*x^19*z0^4 - x^20*z0^2 - x^18*y*z0^3 - 2*x^18*z0^4 - 2*x^21 + x^19*y*z0 + x^19*z0^2 - x^17*y*z0^3 - x^17*z0^4 - 2*x^20 + x^18*y*z0 + 2*x^18*z0^2 - 2*x^16*y*z0^3 - x^16*z0^4 + 2*x^19 - 2*x^17*y*z0 - 2*x^17*z0^2 + 2*x^15*y*z0^3 + x^18 - x^16*y*z0 - 2*x^16*z0^2 + x^14*y*z0^3 - x^14*z0^4 - 2*x^17 + 2*x^15*y*z0 + 2*x^15*z0^2 + 2*x^13*y*z0^3 - 2*x^13*z0^4 - x^14*y*z0 + x^14*z0^2 - 2*x^12*y*z0^3 + 2*x^12*z0^4 - 2*x^15 + 2*x^13*y*z0 - x^13*z0^2 - 2*x^11*y*z0^3 - x^11*z0^4 + x^14 + 2*x^12*y*z0 - x^12*z0^2 + 2*x^10*y*z0^3 - x^13 + x^11*y*z0 + x^9*y*z0^3 - x^9*z0^4 - x^12 - 2*x^10*y*z0 - 2*x^10*z0^2 - x^8*y*z0^3 + x^11 + 2*x^9*z0^2 + 2*x^7*y*z0^3 + 2*x^7*z0^4 - 2*x^10 - 2*x^8*y*z0 - x^6*y*z0^3 - x^6*z0^4 + x^9 - x^7*y*z0 - x^7*z0^2 + 2*x^5*y*z0^3 + x^5*z0^4 - x^8 - 2*x^6*y*z0 - 2*x^4*z0^4 - x^7 - x^5*y*z0 + x^5*z0^2 + 2*x^3*y*z0^3 + x^3*z0^4 + x^4*y*z0 + 2*x^4*z0^2 + 2*x^2*y*z0^3 + 2*x^2*z0^4 + 2*x^5 - 2*x^3*z0^2 + 2*x^2*y*z0 + 2*x^2*z0^2 - x^3)/y) * dx,
+ ((-2*x^61*z0^3 + 2*x^58*y^2*z0^3 - 2*x^60*z0 + x^58*z0^3 - x^59*z0 + 2*x^57*y^2*z0 + x^55*y^2*z0^3 + x^56*y^2*z0 + 2*x^57*z0 - x^55*z0^3 + x^56*z0 - 2*x^54*z0 + x^52*z0^3 - x^53*z0 + 2*x^51*z0 - x^49*z0^3 + x^50*z0 - x^47*z0^3 - 2*x^48*z0 + x^46*z0^3 + x^44*y^2*z0^3 - x^47*z0 + x^44*z0^3 + 2*x^45*z0 - x^43*z0^3 + x^44*z0 + 2*x^41*z0^3 - 2*x^39*y*z0^4 - 2*x^42*z0 - x^40*y*z0^2 - x^40*z0^3 - x^38*y*z0^4 - x^41*z0 + x^39*z0^3 + x^40*z0 + 2*x^38*z0^3 - x^36*y*z0^4 - 2*x^39*y + 2*x^37*y*z0^2 - x^35*y*z0^4 + x^38*y - 2*x^36*y*z0^2 - x^36*z0^3 - 2*x^37*z0 - x^35*z0^3 + 2*x^33*y*z0^4 - x^36*y + 2*x^36*z0 - x^34*y*z0^2 + x^34*z0^3 + x^32*y*z0^4 + 2*x^35*y - x^35*z0 - 2*x^33*y*z0^2 + 2*x^33*z0^3 - x^31*y*z0^4 + x^34*z0 + 2*x^32*y*z0^2 + 2*x^32*z0^3 + x^30*y*z0^4 + 2*x^33*z0 - x^31*y*z0^2 + x^31*z0^3 - 2*x^29*y*z0^4 + x^32*y + 2*x^32*z0 - x^30*z0^3 - 2*x^28*y*z0^4 - 2*x^31*y - 2*x^31*z0 - 2*x^29*y*z0^2 + 2*x^29*z0^3 + 2*x^27*y*z0^4 + x^30*y - 2*x^30*z0 + x^28*y*z0^2 - x^28*z0^3 - x^29*y + x^27*y*z0^2 - x^27*z0^3 - 2*x^25*y*z0^4 + x^28*y - 2*x^28*z0 - 2*x^26*y*z0^2 + x^26*z0^3 + 2*x^24*y*z0^4 + x^27*z0 - 2*x^25*y*z0^2 - 2*x^25*z0^3 + 2*x^26*y - 2*x^26*z0 - x^24*y*z0^2 - 2*x^24*z0^3 - x^25*y - 2*x^25*z0 + x^23*y*z0^2 - 2*x^23*z0^3 + x^21*y*z0^4 + x^24*z0 + x^22*y*z0^2 - 2*x^22*z0^3 + 2*x^23*y + x^21*y*z0^2 + 2*x^21*z0^3 + 2*x^19*y*z0^4 + x^22*y - 2*x^22*z0 - 2*x^20*y*z0^2 - x^21*y - x^21*z0 + 2*x^19*y*z0^2 - 2*x^19*z0^3 - 2*x^17*y*z0^4 + x^20*z0 - x^18*y*z0^2 - 2*x^16*y*z0^4 + x^19*y + x^19*z0 + x^17*y*z0^2 - x^17*z0^3 - 2*x^15*y*z0^4 - 2*x^18*y + 2*x^18*z0 - x^16*y*z0^2 + 2*x^16*z0^3 - x^17*y + 2*x^17*z0 - x^15*y*z0^2 + 2*x^15*z0^3 + x^16*y - 2*x^14*y*z0^2 + x^14*z0^3 - 2*x^12*y*z0^4 + x^15*z0 - 2*x^13*y*z0^2 - x^13*z0^3 - 2*x^11*y*z0^4 - x^14*y + x^12*y*z0^2 + 2*x^12*z0^3 - 2*x^10*y*z0^4 + x^13*z0 - x^11*y*z0^2 + 2*x^11*z0^3 + 2*x^12*y + x^12*z0 - 2*x^10*y*z0^2 + 2*x^10*z0^3 - 2*x^8*y*z0^4 + 2*x^11*y - 2*x^9*y*z0^2 - x^9*z0^3 - 2*x^10*y - 2*x^10*z0 - 2*x^8*y*z0^2 - 2*x^6*y*z0^4 + 2*x^9*y + 2*x^9*z0 + 2*x^7*z0^3 + x^5*y*z0^4 + x^8*z0 - x^6*y*z0^2 - x^4*y*z0^4 + 2*x^7*y - x^7*z0 - x^5*y*z0^2 + 2*x^3*y*z0^4 + x^6*y + x^4*y*z0^2 - 2*x^4*z0^3 + x^2*y*z0^4 - x^5*y + x^5*z0 - x^3*y*z0^2 - x^4*y + x^4*z0 + 2*x^2*y*z0^2 + 2*x^2*z0^3 + x^3*y - 2*x^3*z0 - 2*x^2*z0)/y) * dx,
+ ((2*x^61*z0^4 - 2*x^60*z0^4 - 2*x^58*y^2*z0^4 - 2*x^61*z0^2 + 2*x^57*y^2*z0^4 - 2*x^60*z0^2 + 2*x^58*y^2*z0^2 - 2*x^58*z0^4 + x^61 + 2*x^57*y^2*z0^2 + 2*x^57*z0^4 - 2*x^60 - x^58*y^2 + 2*x^58*z0^2 + 2*x^57*y^2 + 2*x^57*z0^2 + 2*x^55*z0^4 - x^58 - 2*x^54*z0^4 + 2*x^57 - 2*x^55*z0^2 - 2*x^54*z0^2 - 2*x^52*z0^4 + x^55 + 2*x^51*z0^4 - 2*x^54 + 2*x^52*z0^2 + 2*x^51*z0^2 + 2*x^49*z0^4 - x^52 - 2*x^48*z0^4 + 2*x^51 - 2*x^49*z0^2 - x^47*z0^4 - 2*x^48*z0^2 - 2*x^46*z0^4 + x^44*y^2*z0^4 + x^49 + 2*x^45*z0^4 - 2*x^48 + 2*x^46*z0^2 + x^44*z0^4 + 2*x^45*z0^2 + 2*x^43*z0^4 - x^46 - 2*x^42*z0^4 + 2*x^45 - 2*x^43*z0^2 - x^41*z0^4 - 2*x^42*z0^2 + x^40*y*z0^3 + 2*x^40*z0^4 + x^43 - 2*x^41*z0^2 - 2*x^39*y*z0^3 - 2*x^42 - x^40*y*z0 + x^38*z0^4 - x^39*y*z0 - x^39*z0^2 + 2*x^37*y*z0^3 + 2*x^37*z0^4 + x^38*y*z0 + x^38*z0^2 - x^36*y*z0^3 + 2*x^36*z0^4 - 2*x^39 - x^37*y*z0 - 2*x^37*z0^2 - 2*x^35*y*z0^3 - 2*x^35*z0^4 + x^36*y*z0 + x^36*z0^2 - 2*x^34*y*z0^3 + x^37 - 2*x^36 + 2*x^34*y*z0 + x^34*z0^2 + x^32*y*z0^3 + x^32*z0^4 + 2*x^35 + x^33*y*z0 - x^33*z0^2 - x^31*y*z0^3 + 2*x^31*z0^4 + x^34 + x^32*y*z0 + 2*x^32*z0^2 + 2*x^30*z0^4 - 2*x^33 + 2*x^31*y*z0 - 2*x^29*y*z0^3 + 2*x^29*z0^4 - 2*x^32 + 2*x^30*y*z0 - 2*x^28*y*z0^3 - x^28*z0^4 - x^31 + 2*x^29*z0^2 + 2*x^27*y*z0^3 - x^27*z0^4 - 2*x^28*z0^2 + 2*x^26*y*z0^3 - 2*x^26*z0^4 + x^29 - 2*x^27*y*z0 + x^27*z0^2 + 2*x^25*z0^4 - 2*x^28 + x^26*y*z0 + x^24*y*z0^3 + 2*x^27 + 2*x^23*y*z0^3 - 2*x^23*z0^4 - 2*x^26 - x^24*y*z0 + 2*x^24*z0^2 - 2*x^22*y*z0^3 + x^22*z0^4 - x^25 - 2*x^23*y*z0 - 2*x^23*z0^2 + 2*x^21*y*z0^3 + 2*x^21*z0^4 - 2*x^24 - 2*x^22*y*z0 - 2*x^22*z0^2 + 2*x^20*y*z0^3 + x^20*z0^4 - 2*x^23 - x^21*y*z0 + 2*x^19*y*z0^3 + 2*x^19*z0^4 - x^22 - 2*x^20*y*z0 - 2*x^20*z0^2 + x^18*y*z0^3 - x^18*z0^4 - x^21 + x^19*y*z0 + x^19*z0^2 + 2*x^17*y*z0^3 + x^17*z0^4 + 2*x^20 - 2*x^18*y*z0 - 2*x^18*z0^2 + x^16*z0^4 - x^19 + x^17*y*z0 + x^17*z0^2 + x^15*y*z0^3 - 2*x^15*z0^4 - 2*x^18 - 2*x^16*y*z0 + x^16*z0^2 + x^14*y*z0^3 + x^14*z0^4 - 2*x^15*z0^2 - 2*x^13*y*z0^3 + 2*x^13*z0^4 + 2*x^14*z0^2 + 2*x^12*z0^4 + 2*x^15 - 2*x^13*y*z0 - x^11*y*z0^3 + x^11*z0^4 + x^14 - x^12*y*z0 + x^12*z0^2 + x^10*z0^4 - 2*x^13 - x^11*y*z0 + 2*x^9*y*z0^3 + 2*x^9*z0^4 + 2*x^12 - 2*x^10*y*z0 + 2*x^10*z0^2 + x^8*y*z0^3 + x^8*z0^4 - 2*x^11 - x^9*y*z0 - 2*x^9*z0^2 + 2*x^7*y*z0^3 - 2*x^7*z0^4 + 2*x^10 + 2*x^8*y*z0 - 2*x^8*z0^2 + x^6*y*z0^3 + 2*x^9 - x^7*y*z0 - x^7*z0^2 - x^5*y*z0^3 + 2*x^5*z0^4 + 2*x^8 + 2*x^6*y*z0 + x^4*z0^4 + 2*x^7 + x^5*y*z0 - x^5*z0^2 + 2*x^3*z0^4 - 2*x^6 - 2*x^4*y*z0 - 2*x^4*z0^2 - x^2*y*z0^3 - x^2*z0^4 - 2*x^3*y*z0 + x^3*z0^2 + 2*x^2*z0^2 - x^3 - 2*x^2)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((x^61*z0^4 - x^58*y^2*z0^4 - x^61*z0^2 + 2*x^60*z0^2 + x^58*y^2*z0^2 - x^58*z0^4 + 2*x^61 - 2*x^57*y^2*z0^2 + 2*x^60 - 2*x^58*y^2 + x^58*z0^2 - 2*x^57*y^2 - 2*x^57*z0^2 + x^55*z0^4 - 2*x^58 - 2*x^57 - x^55*z0^2 + 2*x^54*z0^2 - x^52*z0^4 + 2*x^55 + 2*x^54 + x^52*z0^2 - 2*x^51*z0^2 + x^49*z0^4 - 2*x^52 - 2*x^51 - x^49*z0^2 + 2*x^48*z0^2 - x^46*z0^4 + 2*x^49 + x^48 + x^46*z0^2 + x^45*y^2 - 2*x^45*z0^2 + x^43*z0^4 - 2*x^46 - x^45 - x^43*z0^2 + 2*x^41*z0^4 + 2*x^42*z0^2 - 2*x^40*y*z0^3 + 2*x^40*z0^4 + 2*x^43 - x^41*z0^2 - x^39*y*z0^3 + x^39*z0^4 + x^42 + 2*x^40*y*z0 + x^38*y*z0^3 - x^38*z0^4 + 2*x^41 - x^39*y*z0 - x^39*z0^2 + 2*x^37*y*z0^3 - 2*x^37*z0^4 + x^38*y*z0 - 2*x^38*z0^2 + 2*x^36*y*z0^3 + 2*x^36*z0^4 - 2*x^39 + 2*x^37*y*z0 - 2*x^35*y*z0^3 - x^38 + 2*x^36*y*z0 + x^36*z0^2 + 2*x^34*y*z0^3 + 2*x^34*z0^4 - x^37 + 2*x^35*y*z0 + 2*x^35*z0^2 + x^33*y*z0^3 + x^33*z0^4 - x^36 + 2*x^34*y*z0 - x^34*z0^2 - 2*x^32*y*z0^3 - x^32*z0^4 - 2*x^33*y*z0 - 2*x^33*z0^2 + 2*x^31*y*z0^3 + 2*x^31*z0^4 - x^34 + x^32*y*z0 - x^32*z0^2 - 2*x^30*z0^4 - x^31*y*z0 - x^31*z0^2 + 2*x^29*y*z0^3 - x^29*z0^4 - x^32 + x^30*y*z0 + x^30*z0^2 - x^28*y*z0^3 - x^28*z0^4 + x^31 + 2*x^29*y*z0 - x^29*z0^2 + 2*x^27*y*z0^3 - 2*x^27*z0^4 + 2*x^30 + x^28*y*z0 - x^28*z0^2 - 2*x^26*y*z0^3 + x^26*z0^4 - x^29 + x^27*y*z0 + 2*x^27*z0^2 + 2*x^25*y*z0^3 + x^25*z0^4 - 2*x^28 + 2*x^26*y*z0 + x^26*z0^2 - x^24*y*z0^3 - x^24*z0^4 - 2*x^27 + 2*x^25*z0^2 - x^23*y*z0^3 - 2*x^23*z0^4 - x^24*y*z0 + x^24*z0^2 - 2*x^25 - x^23*y*z0 + x^23*z0^2 + x^21*z0^4 - x^22*z0^2 - x^20*y*z0^3 - 2*x^20*z0^4 + 2*x^21*y*z0 + x^21*z0^2 - 2*x^19*y*z0^3 - 2*x^22 + 2*x^20*y*z0 - 2*x^20*z0^2 + x^18*y*z0^3 + x^18*z0^4 - x^21 - 2*x^19*y*z0 - x^19*z0^2 + x^17*y*z0^3 + 2*x^18*y*z0 - 2*x^18*z0^2 + x^16*z0^4 + 2*x^19 + x^17*y*z0 - x^17*z0^2 + x^15*y*z0^3 - 2*x^15*z0^4 - 2*x^16*y*z0 + x^14*y*z0^3 - x^17 + x^15*y*z0 - 2*x^15*z0^2 - x^13*y*z0^3 - x^13*z0^4 + x^16 + x^14*y*z0 - x^14*z0^2 - 2*x^12*y*z0^3 - x^12*z0^4 + x^15 + x^13*y*z0 - 2*x^13*z0^2 - 2*x^11*y*z0^3 - 2*x^11*z0^4 - 2*x^14 + 2*x^12*y*z0 - x^12*z0^2 + x^10*y*z0^3 - x^10*z0^4 + x^13 - x^11*z0^2 + 2*x^9*y*z0^3 + 2*x^12 - x^10*y*z0 - 2*x^10*z0^2 + 2*x^8*y*z0^3 - 2*x^11 + x^9*y*z0 - 2*x^9*z0^2 - 2*x^7*y*z0^3 - 2*x^7*z0^4 - 2*x^10 - x^8*y*z0 - 2*x^8*z0^2 + x^6*y*z0^3 - 2*x^6*z0^4 + x^9 + x^7*y*z0 - 2*x^5*y*z0^3 + 2*x^5*z0^4 + x^6*y*z0 + 2*x^6*z0^2 - 2*x^4*y*z0^3 - x^5*y*z0 - 2*x^3*z0^4 + x^6 - x^4*y*z0 - x^4*z0^2 - x^2*y*z0^3 - 2*x^2*z0^4 - 2*x^3*y*z0 + x^3*z0^2 + 2*x^2*y*z0 + x^2*z0^2 + 2*x^3 - x^2)/y) * dx,
+ ((-x^60*z0^3 + x^57*y^2*z0^3 + x^60*z0 - x^58*z0^3 + 2*x^59*z0 - x^57*y^2*z0 + 2*x^57*z0^3 + x^55*y^2*z0^3 - 2*x^56*y^2*z0 - x^54*y^2*z0^3 - x^57*z0 + x^55*z0^3 - 2*x^56*z0 - 2*x^54*z0^3 + x^54*z0 - x^52*z0^3 + 2*x^53*z0 + 2*x^51*z0^3 - x^51*z0 + x^49*z0^3 - 2*x^50*z0 - 2*x^48*z0^3 - x^46*z0^3 + 2*x^47*z0 + x^45*y^2*z0 + 2*x^45*z0^3 + x^43*z0^3 - 2*x^44*z0 - 2*x^42*z0^3 + x^38*y*z0^4 + 2*x^41*z0 - x^39*z0^3 + x^37*y*z0^4 + x^40*z0 + 2*x^38*y*z0^2 + 2*x^39*y - x^39*z0 + x^37*y*z0^2 - x^37*z0^3 + 2*x^35*y*z0^4 + 2*x^38*y - x^36*y*z0^2 + x^36*z0^3 - 2*x^34*y*z0^4 - x^37*z0 + 2*x^35*y*z0^2 - x^35*z0^3 + x^33*y*z0^4 + 2*x^36*z0 - x^34*y*z0^2 + x^34*z0^3 + x^32*y*z0^4 + x^35*z0 + 2*x^33*z0^3 + x^34*y + x^34*z0 - x^32*y*z0^2 - x^32*z0^3 - 2*x^30*y*z0^4 + x^33*y + 2*x^33*z0 + 2*x^31*z0^3 - 2*x^29*y*z0^4 - 2*x^32*y + x^32*z0 + 2*x^30*y*z0^2 + 2*x^30*z0^3 - 2*x^28*y*z0^4 - 2*x^31*y + 2*x^29*y*z0^2 + x^29*z0^3 + 2*x^27*y*z0^4 + x^30*y + 2*x^30*z0 + x^28*y*z0^2 - x^26*y*z0^4 + x^29*y - 2*x^27*y*z0^2 - 2*x^27*z0^3 + 2*x^25*y*z0^4 + x^28*z0 - x^26*y*z0^2 + x^24*y*z0^4 - x^27*y + 2*x^25*y*z0^2 + x^25*z0^3 - x^23*y*z0^4 - 2*x^26*y - 2*x^26*z0 + x^24*y*z0^2 - 2*x^24*z0^3 + 2*x^22*y*z0^4 + 2*x^25*z0 - 2*x^23*y*z0^2 - x^23*z0^3 + x^21*y*z0^4 + x^24*z0 + 2*x^22*z0^3 + x^20*y*z0^4 + x^23*z0 + x^21*y*z0^2 + x^21*z0^3 + 2*x^19*y*z0^4 - 2*x^22*y + 2*x^22*z0 - 2*x^20*z0^3 - x^18*y*z0^4 - 2*x^21*y + 2*x^21*z0 - 2*x^19*z0^3 + 2*x^17*y*z0^4 - 2*x^20*y - 2*x^18*y*z0^2 + 2*x^18*z0^3 + x^16*y*z0^4 + 2*x^19*y - x^19*z0 + x^17*z0^3 - 2*x^15*y*z0^4 + 2*x^18*y + 2*x^18*z0 - x^16*y*z0^2 + x^17*y - x^17*z0 - 2*x^15*y*z0^2 + 2*x^15*z0^3 - x^13*y*z0^4 - 2*x^16*y + 2*x^14*z0^3 + x^12*y*z0^4 - x^15*y + x^15*z0 + x^13*y*z0^2 + 2*x^11*y*z0^4 - x^14*y + 2*x^14*z0 - x^12*y*z0^2 + x^12*z0^3 + 2*x^10*y*z0^4 - x^13*y - 2*x^13*z0 - 2*x^11*y*z0^2 - x^11*z0^3 - x^9*y*z0^4 + 2*x^12*y - 2*x^12*z0 + x^10*y*z0^2 + 2*x^10*z0^3 + 2*x^8*y*z0^4 + x^11*z0 - x^9*y*z0^2 - 2*x^9*z0^3 + 2*x^7*y*z0^4 + x^10*y + x^10*z0 - 2*x^6*y*z0^4 + 2*x^9*y - x^9*z0 + 2*x^7*y*z0^2 + 2*x^7*z0^3 - x^5*y*z0^4 + 2*x^8*y - 2*x^6*z0^3 - x^4*y*z0^4 - 2*x^7*y - x^5*y*z0^2 + 2*x^5*z0^3 + x^6*y + 2*x^6*z0 + x^4*y*z0^2 - 2*x^4*z0^3 + 2*x^2*y*z0^4 + x^5*y - 2*x^3*y*z0^2 + x^3*z0^3 + x^2*y*z0^2 + x^2*z0^3 - x^3*z0 + 2*x^2*y - 2*x^2*z0)/y) * dx,
+ ((-x^61*z0^4 - 2*x^60*z0^4 + x^58*y^2*z0^4 + 2*x^61*z0^2 + x^59*z0^4 + 2*x^57*y^2*z0^4 - x^60*z0^2 - 2*x^58*y^2*z0^2 + x^58*z0^4 - x^56*y^2*z0^4 - 2*x^61 + x^57*y^2*z0^2 + 2*x^57*z0^4 - x^60 + 2*x^58*y^2 - 2*x^58*z0^2 - x^56*z0^4 + x^57*y^2 + x^57*z0^2 - x^55*z0^4 + 2*x^58 - 2*x^54*z0^4 + x^57 + 2*x^55*z0^2 + x^53*z0^4 - x^54*z0^2 + x^52*z0^4 - 2*x^55 + 2*x^51*z0^4 - x^54 - 2*x^52*z0^2 - x^50*z0^4 + x^51*z0^2 - x^49*z0^4 + 2*x^52 - 2*x^48*z0^4 + x^51 + 2*x^49*z0^2 + x^47*z0^4 - 2*x^48*z0^2 + x^46*z0^4 - 2*x^49 + x^45*y^2*z0^2 + 2*x^45*z0^4 - x^48 - 2*x^46*z0^2 - x^44*z0^4 + 2*x^45*z0^2 - x^43*z0^4 + 2*x^46 - 2*x^42*z0^4 + x^45 + 2*x^43*z0^2 - x^41*z0^4 - 2*x^42*z0^2 + 2*x^40*y*z0^3 - 2*x^40*z0^4 - 2*x^43 + 2*x^41*z0^2 + 2*x^39*y*z0^3 - x^42 + x^40*y*z0 - x^38*y*z0^3 + x^38*z0^4 - 2*x^41 + 2*x^37*y*z0^3 + x^38*y*z0 - x^38*z0^2 + x^36*y*z0^3 - x^36*z0^4 - 2*x^39 - x^37*y*z0 - 2*x^35*y*z0^3 - 2*x^38 + x^36*y*z0 - x^34*y*z0^3 - x^35*y*z0 - 2*x^35*z0^2 - x^33*y*z0^3 + x^33*z0^4 - 2*x^36 + 2*x^34*y*z0 - x^32*y*z0^3 - 2*x^33*y*z0 + 2*x^31*y*z0^3 + 2*x^31*z0^4 - 2*x^34 - 2*x^32*z0^2 + 2*x^30*y*z0^3 - x^30*z0^4 - 2*x^33 - x^31*y*z0 - 2*x^31*z0^2 - x^29*y*z0^3 - x^29*z0^4 - 2*x^30*y*z0 + x^30*z0^2 - 2*x^28*y*z0^3 - 2*x^28*z0^4 + 2*x^31 + 2*x^29*y*z0 - x^27*y*z0^3 + 2*x^27*z0^4 - x^30 + x^28*z0^2 - x^26*z0^4 - 2*x^29 - x^27*y*z0 - x^27*z0^2 + x^25*y*z0^3 + x^26*y*z0 - 2*x^24*y*z0^3 - x^27 - x^25*y*z0 + 2*x^25*z0^2 + x^23*z0^4 - 2*x^26 + x^24*z0^2 + 2*x^22*y*z0^3 - 2*x^22*z0^4 + x^25 + x^23*y*z0 + x^21*y*z0^3 + 2*x^24 - x^22*y*z0 + x^22*z0^2 - 2*x^20*y*z0^3 + 2*x^23 - 2*x^21*y*z0 + 2*x^21*z0^2 + 2*x^19*y*z0^3 - 2*x^19*z0^4 - 2*x^22 - 2*x^20*z0^2 + x^18*y*z0^3 + x^21 - 2*x^19*z0^2 + 2*x^20 - 2*x^18*z0^2 - 2*x^16*z0^4 + 2*x^19 - x^17*y*z0 - x^17*z0^2 + 2*x^15*y*z0^3 + x^16*y*z0 - x^16*z0^2 - x^14*y*z0^3 + 2*x^17 + x^15*y*z0 + x^15*z0^2 + 2*x^13*y*z0^3 - x^13*z0^4 + x^16 + x^14*z0^2 - x^12*y*z0^3 - x^12*z0^4 - 2*x^15 + x^13*y*z0 - 2*x^13*z0^2 - 2*x^11*y*z0^3 - x^11*z0^4 + x^14 + 2*x^12*y*z0 - x^12*z0^2 + 2*x^10*y*z0^3 + 2*x^13 + x^11*y*z0 + 2*x^11*z0^2 - x^9*y*z0^3 + x^9*z0^4 + 2*x^10*y*z0 - x^10*z0^2 - 2*x^8*z0^4 - x^11 + 2*x^9*y*z0 + 2*x^9*z0^2 - 2*x^7*y*z0^3 - x^10 + x^6*y*z0^3 - x^9 - x^7*y*z0 + x^7*z0^2 - x^5*y*z0^3 - x^5*z0^4 + x^8 - 2*x^6*y*z0 - 2*x^6*z0^2 - x^4*y*z0^3 - x^7 + 2*x^5*z0^2 + x^3*y*z0^3 - x^4*y*z0 - x^4*z0^2 + x^2*y*z0^3 - x^2*z0^4 - 2*x^3*z0^2 + 2*x^2*y*z0 + 2*x^2*z0^2)/y) * dx,
+ ((-x^61*z0^3 + 2*x^60*z0^3 + x^58*y^2*z0^3 + x^61*z0 - 2*x^57*y^2*z0^3 - x^60*z0 - x^58*y^2*z0 + x^58*z0^3 + 2*x^59*z0 + x^57*y^2*z0 - x^58*z0 - 2*x^56*y^2*z0 - 2*x^54*y^2*z0^3 + x^57*z0 - x^55*z0^3 - 2*x^56*z0 + x^55*z0 - x^54*z0 + x^52*z0^3 + 2*x^53*z0 - x^52*z0 + x^51*z0 - x^49*z0^3 - 2*x^50*z0 - x^48*z0^3 + x^49*z0 + x^45*y^2*z0^3 - x^48*z0 + x^46*z0^3 + 2*x^47*z0 + x^45*z0^3 - x^46*z0 + x^45*z0 - x^43*z0^3 - 2*x^44*z0 - x^42*z0^3 + x^43*z0 - x^41*z0^3 - x^39*y*z0^4 - x^42*z0 + 2*x^40*y*z0^2 - 2*x^41*z0 + x^39*y*z0^2 - x^39*z0^3 - x^37*y*z0^4 - 2*x^40*y + 2*x^40*z0 - 2*x^38*z0^3 + 2*x^36*y*z0^4 - x^39*z0 - x^37*y*z0^2 + x^37*z0^3 + 2*x^35*y*z0^4 + 2*x^38*y + 2*x^38*z0 + 2*x^36*y*z0^2 + x^36*z0^3 + x^37*y + 2*x^37*z0 - x^35*y*z0^2 + 2*x^35*z0^3 + 2*x^33*y*z0^4 + 2*x^36*z0 + 2*x^34*y*z0^2 - 2*x^34*z0^3 - x^32*y*z0^4 + 2*x^35*y - 2*x^35*z0 - x^33*y*z0^2 + x^34*z0 - x^32*y*z0^2 - x^32*z0^3 - x^30*y*z0^4 + x^33*y - 2*x^31*z0^3 + 2*x^29*y*z0^4 - 2*x^32*y + 2*x^32*z0 + 2*x^30*y*z0^2 + x^30*z0^3 - 2*x^28*y*z0^4 - x^31*z0 + x^29*y*z0^2 + 2*x^29*z0^3 - 2*x^27*y*z0^4 - 2*x^30*y + 2*x^30*z0 + 2*x^28*y*z0^2 - x^28*z0^3 - x^26*y*z0^4 - x^29*y + 2*x^27*y*z0^2 + x^25*y*z0^4 - x^28*y + x^26*y*z0^2 + 2*x^26*z0^3 + 2*x^27*y - x^27*z0 - x^25*y*z0^2 + 2*x^25*z0^3 + x^23*y*z0^4 - x^26*y + x^26*z0 + 2*x^24*y*z0^2 + 2*x^24*z0^3 + 2*x^22*y*z0^4 - 2*x^25*y - 2*x^23*y*z0^2 - x^23*z0^3 + x^21*y*z0^4 + x^22*y*z0^2 + 2*x^22*z0^3 - x^23*y - x^23*z0 + 2*x^21*y*z0^2 + 2*x^21*z0^3 - x^19*y*z0^4 - x^22*y + x^22*z0 + 2*x^20*z0^3 - x^18*y*z0^4 + 2*x^21*y + 2*x^21*z0 + 2*x^19*z0^3 + x^17*y*z0^4 + 2*x^20*y + x^20*z0 + 2*x^18*y*z0^2 + 2*x^18*z0^3 - x^16*y*z0^4 + 2*x^19*y - x^19*z0 - 2*x^17*y*z0^2 + x^15*y*z0^4 + 2*x^18*y - x^18*z0 + x^16*y*z0^2 - x^16*z0^3 + x^14*y*z0^4 - x^17*y + x^17*z0 + x^15*y*z0^2 + 2*x^15*z0^3 + x^13*y*z0^4 - 2*x^16*y + x^14*y*z0^2 - x^12*y*z0^4 + 2*x^15*y - 2*x^15*z0 + x^13*y*z0^2 - 2*x^13*z0^3 + x^11*y*z0^4 - 2*x^12*y*z0^2 - x^12*z0^3 - 2*x^10*y*z0^4 - x^13*y + 2*x^13*z0 + x^11*z0^3 - x^9*y*z0^4 - x^12*y + x^10*y*z0^2 - 2*x^10*z0^3 + x^8*y*z0^4 + x^11*z0 + x^9*y*z0^2 - 2*x^9*z0^3 - 2*x^7*y*z0^4 + x^10*z0 + 2*x^8*z0^3 - 2*x^6*y*z0^4 - 2*x^9*z0 - 2*x^7*y*z0^2 + 2*x^5*y*z0^4 - 2*x^8*y - 2*x^8*z0 - 2*x^6*y*z0^2 + 2*x^6*z0^3 - 2*x^4*y*z0^4 + 2*x^6*y + x^6*z0 - 2*x^2*y*z0^4 + 2*x^5*y + 2*x^5*z0 + 2*x^3*y*z0^2 + 2*x^3*z0^3 - 2*x^4*y + x^4*z0 - x^2*y*z0^2 - x^2*z0^3 + x^3*y + x^2*y + x^2*z0)/y) * dx,
+ ((2*x^61*z0^4 - x^60*z0^4 - 2*x^58*y^2*z0^4 - 2*x^61*z0^2 - 2*x^59*z0^4 + x^57*y^2*z0^4 - x^60*z0^2 + 2*x^58*y^2*z0^2 - 2*x^58*z0^4 + 2*x^56*y^2*z0^4 + x^57*y^2*z0^2 + x^57*z0^4 + 2*x^58*z0^2 + 2*x^56*z0^4 + x^57*z0^2 + 2*x^55*z0^4 - x^54*z0^4 - 2*x^55*z0^2 - 2*x^53*z0^4 - x^54*z0^2 - 2*x^52*z0^4 + x^51*z0^4 + 2*x^52*z0^2 + 2*x^50*z0^4 + x^51*z0^2 + 2*x^49*z0^4 - 2*x^48*z0^4 - 2*x^49*z0^2 - 2*x^47*z0^4 + x^45*y^2*z0^4 - x^48*z0^2 - 2*x^46*z0^4 + 2*x^45*z0^4 + 2*x^46*z0^2 + 2*x^44*z0^4 + x^45*z0^2 + 2*x^43*z0^4 - 2*x^42*z0^4 - 2*x^43*z0^2 - x^42*z0^2 + x^40*y*z0^3 + 2*x^40*z0^4 - 2*x^41*z0^2 - 2*x^39*y*z0^3 + x^39*z0^4 - x^40*y*z0 - 2*x^40*z0^2 - x^38*y*z0^3 - x^38*z0^4 + 2*x^41 + x^39*y*z0 - 2*x^39*z0^2 + x^37*y*z0^3 + 2*x^40 + x^38*z0^2 - x^36*y*z0^3 - 2*x^36*z0^4 - 2*x^37*y*z0 + 2*x^35*y*z0^3 - x^35*z0^4 + x^36*y*z0 + 2*x^36*z0^2 - x^34*y*z0^3 - 2*x^34*z0^4 + x^35*z0^2 + x^33*y*z0^3 - x^33*z0^4 + x^36 - x^34*y*z0 + 2*x^34*z0^2 + 2*x^32*y*z0^3 + x^32*z0^4 - 2*x^35 - 2*x^33*y*z0 - 2*x^31*y*z0^3 + 2*x^34 - 2*x^32*z0^2 + 2*x^30*y*z0^3 + 2*x^30*z0^4 - 2*x^33 - x^31*y*z0 - x^31*z0^2 + x^29*y*z0^3 - 2*x^29*z0^4 + x^32 + x^30*y*z0 - 2*x^30*z0^2 - 2*x^28*y*z0^3 + x^28*z0^4 + x^27*y*z0^3 + 2*x^27*z0^4 - x^28*y*z0 - 2*x^28*z0^2 + 2*x^26*y*z0^3 - x^26*z0^4 + 2*x^29 + 2*x^25*y*z0^3 + x^28 - 2*x^26*z0^2 - 2*x^24*y*z0^3 - x^24*z0^4 - x^27 - 2*x^25*y*z0 + x^25*z0^2 - 2*x^23*y*z0^3 + 2*x^23*z0^4 + 2*x^26 + x^24*y*z0 - 2*x^24*z0^2 - x^22*y*z0^3 + x^25 + x^23*y*z0 - 2*x^23*z0^2 - x^21*y*z0^3 - 2*x^24 + x^22*z0^2 + x^20*z0^4 + x^23 - 2*x^21*y*z0 - x^21*z0^2 + x^19*z0^4 - 2*x^22 - 2*x^20*y*z0 + 2*x^20*z0^2 + x^18*y*z0^3 + x^18*z0^4 + x^19*y*z0 + 2*x^17*y*z0^3 - x^20 - 2*x^18*y*z0 + x^18*z0^2 - x^16*y*z0^3 - x^16*z0^4 + 2*x^17*y*z0 - 2*x^17*z0^2 + x^15*y*z0^3 + x^18 - x^16*z0^2 + x^14*z0^4 - 2*x^17 + x^15*y*z0 + x^15*z0^2 - x^13*y*z0^3 - 2*x^16 + 2*x^14*y*z0 + x^14*z0^2 + 2*x^12*y*z0^3 + x^12*z0^4 + 2*x^15 - x^13*z0^2 - x^11*y*z0^3 - x^11*z0^4 - 2*x^12*y*z0 - 2*x^12*z0^2 - x^10*z0^4 + x^13 - x^11*z0^2 + x^9*y*z0^3 - x^9*z0^4 + 2*x^12 + x^10*z0^2 + 2*x^8*y*z0^3 - x^8*z0^4 - x^11 - x^9*y*z0 - x^9*z0^2 - x^7*y*z0^3 + 2*x^7*z0^4 - x^10 + x^8*y*z0 + x^8*z0^2 + x^6*z0^4 - x^7*z0^2 - x^5*z0^4 - 2*x^8 - x^6*y*z0 - x^6*z0^2 - x^4*y*z0^3 + 2*x^4*z0^4 + x^7 - 2*x^5*y*z0 - 2*x^5*z0^2 - x^3*y*z0^3 + x^3*z0^4 + x^6 - 2*x^4*y*z0 - x^4*z0^2 - 2*x^2*z0^4 - x^5 - 2*x^3*y*z0 + 2*x^3*z0^2 - 2*x^2*z0^2 - 2*x^3 - 2*x^2)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((2*x^61*z0^4 + x^60*z0^4 - 2*x^58*y^2*z0^4 - 2*x^61*z0^2 + x^59*z0^4 - x^57*y^2*z0^4 - 2*x^60*z0^2 + 2*x^58*y^2*z0^2 - 2*x^58*z0^4 - x^56*y^2*z0^4 + x^61 + 2*x^57*y^2*z0^2 - x^57*z0^4 - x^58*y^2 + 2*x^58*z0^2 - x^56*z0^4 + 2*x^57*z0^2 + 2*x^55*z0^4 - x^58 + x^54*z0^4 - 2*x^55*z0^2 + x^53*z0^4 - 2*x^54*z0^2 - 2*x^52*z0^4 + x^55 - x^51*z0^4 + 2*x^52*z0^2 - x^50*z0^4 + 2*x^51*z0^2 + 2*x^49*z0^4 - x^52 + x^48*z0^4 - 2*x^49*z0^2 + x^47*z0^4 - 2*x^48*z0^2 - 2*x^46*z0^4 - x^45*z0^4 + x^46*y^2 + 2*x^46*z0^2 - x^44*z0^4 + 2*x^45*z0^2 + 2*x^43*z0^4 + x^42*z0^4 - 2*x^43*z0^2 + x^41*z0^4 - 2*x^42*z0^2 + x^40*y*z0^3 - 2*x^40*z0^4 - 2*x^41*z0^2 - 2*x^39*y*z0^3 - 2*x^39*z0^4 - x^40*y*z0 - x^40*z0^2 + x^38*y*z0^3 - 2*x^39*y*z0 - x^39*z0^2 + x^37*y*z0^3 + x^40 + 2*x^38*y*z0 + x^38*z0^2 - x^36*y*z0^3 + x^37*y*z0 + 2*x^37*z0^2 - 2*x^35*y*z0^3 + 2*x^35*z0^4 + 2*x^38 - x^36*y*z0 + x^36*z0^2 - 2*x^34*y*z0^3 - 2*x^34*z0^4 - x^35*y*z0 - x^35*z0^2 - 2*x^33*y*z0^3 + 2*x^33*z0^4 + 2*x^34*y*z0 + x^34*z0^2 - 2*x^32*y*z0^3 - 2*x^32*z0^4 + x^35 + 2*x^33*z0^2 + 2*x^31*y*z0^3 + 2*x^31*z0^4 + x^32*y*z0 - 2*x^30*y*z0^3 + x^30*z0^4 - 2*x^31*y*z0 + 2*x^29*y*z0^3 + 2*x^29*z0^4 + x^32 + x^30*y*z0 + 2*x^30*z0^2 - x^28*y*z0^3 + x^28*z0^4 - 2*x^29*y*z0 - x^29*z0^2 + 2*x^27*z0^4 + 2*x^30 - x^28*y*z0 + 2*x^28*z0^2 - x^26*y*z0^3 - x^29 + 2*x^27*y*z0 + x^27*z0^2 + 2*x^25*y*z0^3 + 2*x^28 + x^26*z0^2 + x^24*y*z0^3 - x^27 + 2*x^25*y*z0 - x^25*z0^2 + 2*x^23*y*z0^3 - x^23*z0^4 - 2*x^24*y*z0 - 2*x^24*z0^2 - x^22*z0^4 + 2*x^25 + x^23*y*z0 + 2*x^23*z0^2 - x^21*z0^4 - 2*x^24 - x^22*y*z0 - x^22*z0^2 + x^20*y*z0^3 + 2*x^23 - 2*x^21*y*z0 + x^21*z0^2 + x^22 + x^20*y*z0 + 2*x^20*z0^2 - 2*x^18*z0^4 + 2*x^21 + x^19*y*z0 + 2*x^19*z0^2 + x^17*y*z0^3 + x^17*z0^4 - 2*x^20 + 2*x^18*z0^2 + 2*x^16*y*z0^3 + x^16*z0^4 + 2*x^19 + 2*x^17*z0^2 - x^15*z0^4 - x^18 - x^16*y*z0 + x^16*z0^2 + x^14*y*z0^3 - x^14*z0^4 + x^15*y*z0 - x^15*z0^2 - 2*x^13*z0^4 - x^16 - x^14*z0^2 - x^12*y*z0^3 + x^15 + 2*x^13*z0^2 + 2*x^11*y*z0^3 - 2*x^11*z0^4 + x^14 - x^12*y*z0 - x^12*z0^2 - x^10*y*z0^3 - x^10*z0^4 - x^13 + 2*x^11*y*z0 - x^11*z0^2 - 2*x^9*y*z0^3 - x^9*z0^4 + 2*x^10*y*z0 + 2*x^10*z0^2 - 2*x^8*y*z0^3 - 2*x^8*z0^4 - 2*x^11 - x^7*y*z0^3 + 2*x^7*z0^4 + 2*x^10 + 2*x^8*y*z0 - 2*x^8*z0^2 - x^6*y*z0^3 - 2*x^6*z0^4 + 2*x^9 - 2*x^7*y*z0 + 2*x^7*z0^2 + 2*x^5*y*z0^3 - x^5*z0^4 + 2*x^6*z0^2 - 2*x^7 - 2*x^5*z0^2 - x^3*y*z0^3 + 2*x^3*z0^4 + x^6 - 2*x^4*y*z0 - 2*x^4*z0^2 + x^2*y*z0^3 - x^3*y*z0 + x^3*z0^2 + x^2*y*z0 + 2*x^2*z0^2 - 2*x^3 + x^2)/y) * dx,
+ ((2*x^61*z0^3 - 2*x^58*y^2*z0^3 - x^61*z0 + x^58*y^2*z0 - 2*x^58*z0^3 - x^59*z0 + 2*x^57*z0^3 + x^58*z0 + x^56*y^2*z0 - 2*x^54*y^2*z0^3 + 2*x^55*z0^3 + x^56*z0 - 2*x^54*z0^3 - x^55*z0 - 2*x^52*z0^3 - x^53*z0 + 2*x^51*z0^3 + x^52*z0 + 2*x^49*z0^3 + x^50*z0 - 2*x^48*z0^3 - 2*x^49*z0 + x^46*y^2*z0 - 2*x^46*z0^3 - x^47*z0 + 2*x^45*z0^3 + 2*x^46*z0 + 2*x^43*z0^3 + x^44*z0 - 2*x^42*z0^3 - 2*x^43*z0 + 2*x^41*z0^3 + 2*x^39*y*z0^4 + x^40*y*z0^2 - 2*x^40*z0^3 + x^38*y*z0^4 - 2*x^41*z0 - x^39*y*z0^2 - x^39*z0^3 + 2*x^37*y*z0^4 + 2*x^40*y - x^40*z0 + x^38*y*z0^2 - x^38*z0^3 + x^36*y*z0^4 + 2*x^39*y - x^39*z0 + 2*x^37*y*z0^2 + x^37*z0^3 + 2*x^35*y*z0^4 + x^38*y - 2*x^38*z0 + x^36*z0^3 - 2*x^34*y*z0^4 - x^37*y - 2*x^37*z0 - x^35*y*z0^2 - 2*x^35*z0^3 - 2*x^36*z0 + x^34*y*z0^2 - 2*x^34*z0^3 + x^32*y*z0^4 + 2*x^35*z0 - x^33*y*z0^2 - x^33*z0^3 + x^34*y + 2*x^32*y*z0^2 - 2*x^30*y*z0^4 + x^33*y - 2*x^33*z0 + x^31*y*z0^2 + 2*x^29*y*z0^4 + x^32*y + 2*x^30*y*z0^2 - 2*x^30*z0^3 + x^28*y*z0^4 + 2*x^31*y - x^29*y*z0^2 - 2*x^27*y*z0^4 - 2*x^30*y + 2*x^28*y*z0^2 - x^29*y + x^29*z0 + 2*x^27*y*z0^2 + x^27*z0^3 - x^28*y + x^26*y*z0^2 + 2*x^26*z0^3 + x^24*y*z0^4 + x^27*y - x^27*z0 - x^25*y*z0^2 - x^23*y*z0^4 - x^26*y - 2*x^24*y*z0^2 - 2*x^24*z0^3 + x^23*z0^3 + x^21*y*z0^4 - 2*x^24*z0 - 2*x^22*y*z0^2 - x^22*z0^3 + 2*x^20*y*z0^4 - 2*x^23*z0 - 2*x^21*y*z0^2 - x^21*z0^3 - x^19*y*z0^4 + 2*x^22*y + 2*x^22*z0 - x^20*z0^3 - x^18*y*z0^4 - 2*x^21*y - x^19*y*z0^2 + x^19*z0^3 - 2*x^17*y*z0^4 + 2*x^20*z0 + x^16*y*z0^4 - x^19*y + 2*x^17*y*z0^2 + 2*x^15*y*z0^4 - 2*x^18*y - 2*x^16*y*z0^2 + 2*x^14*y*z0^4 + 2*x^17*y + 2*x^17*z0 + x^15*y*z0^2 + 2*x^15*z0^3 - 2*x^16*y + 2*x^16*z0 - x^14*y*z0^2 - 2*x^14*z0^3 + x^12*y*z0^4 - x^15*y - x^15*z0 + 2*x^13*y*z0^2 - 2*x^13*z0^3 + 2*x^11*y*z0^4 + x^14*y + 2*x^14*z0 - x^12*y*z0^2 - x^12*z0^3 + 2*x^10*y*z0^4 + x^13*y - x^13*z0 + x^11*y*z0^2 - 2*x^11*z0^3 + x^9*y*z0^4 - 2*x^12*y + x^12*z0 + x^10*y*z0^2 + x^10*z0^3 - x^8*y*z0^4 + 2*x^11*y + 2*x^11*z0 + 2*x^9*y*z0^2 + 2*x^9*z0^3 + x^7*y*z0^4 - 2*x^10*y - x^10*z0 + 2*x^8*y*z0^2 - 2*x^9*z0 + 2*x^7*y*z0^2 - 2*x^7*z0^3 + x^8*z0 + 2*x^6*z0^3 + 2*x^4*y*z0^4 - x^7*y + x^7*z0 - 2*x^3*y*z0^4 - 2*x^6*y - x^6*z0 - x^4*y*z0^2 + x^4*z0^3 + x^2*y*z0^4 + x^5*y + 2*x^5*z0 - 2*x^3*y*z0^2 + 2*x^3*z0^3 + 2*x^4*y - x^4*z0 + x^2*y*z0^2 + x^2*z0^3 - x^3*y - x^2*y)/y) * dx,
+ ((-2*x^61*z0^4 + 2*x^60*z0^4 + 2*x^58*y^2*z0^4 - x^61*z0^2 - 2*x^57*y^2*z0^4 + x^58*y^2*z0^2 + 2*x^58*z0^4 + 2*x^61 - 2*x^57*z0^4 + x^60 - 2*x^58*y^2 + x^58*z0^2 - x^57*y^2 - 2*x^55*z0^4 - 2*x^58 + 2*x^54*z0^4 - x^57 - x^55*z0^2 + 2*x^52*z0^4 + 2*x^55 - 2*x^51*z0^4 + x^54 + x^52*z0^2 - 2*x^49*z0^4 - 2*x^52 + 2*x^48*z0^4 - x^51 - 2*x^49*z0^2 + x^46*y^2*z0^2 + 2*x^46*z0^4 + 2*x^49 - 2*x^45*z0^4 + x^48 + 2*x^46*z0^2 - 2*x^43*z0^4 - 2*x^46 + 2*x^42*z0^4 - x^45 - 2*x^43*z0^2 - x^41*z0^4 - x^40*y*z0^3 - x^40*z0^4 + 2*x^43 - x^41*z0^2 - x^39*y*z0^3 + x^42 + 2*x^40*y*z0 + x^40*z0^2 - 2*x^38*z0^4 - x^41 - x^39*y*z0 + x^39*z0^2 + x^40 - 2*x^38*y*z0 - 2*x^38*z0^2 + 2*x^36*y*z0^3 - x^36*z0^4 + x^35*y*z0^3 + 2*x^35*z0^4 - 2*x^38 - 2*x^36*y*z0 - x^36*z0^2 + x^34*z0^4 + 2*x^37 + 2*x^35*y*z0 + x^35*z0^2 + 2*x^33*y*z0^3 + x^33*z0^4 - 2*x^36 + 2*x^34*y*z0 + 2*x^34*z0^2 + 2*x^32*y*z0^3 + x^32*z0^4 - 2*x^35 + x^31*y*z0^3 - 2*x^31*z0^4 + x^34 + x^32*y*z0 + 2*x^32*z0^2 - 2*x^30*y*z0^3 - x^30*z0^4 - x^33 + 2*x^31*z0^2 - 2*x^29*y*z0^3 - x^29*z0^4 + x^32 - 2*x^30*y*z0 - 2*x^30*z0^2 - x^28*y*z0^3 + 2*x^28*z0^4 + 2*x^31 + x^29*y*z0 - x^29*z0^2 - 2*x^27*y*z0^3 + 2*x^27*z0^4 - x^30 - 2*x^28*y*z0 - x^28*z0^2 - x^26*y*z0^3 - x^26*z0^4 + 2*x^29 + x^27*y*z0 - x^27*z0^2 + x^25*y*z0^3 + x^25*z0^4 + 2*x^28 - x^26*y*z0 + 2*x^24*z0^4 - x^27 - x^25*z0^2 + 2*x^23*y*z0^3 - 2*x^23*z0^4 - x^26 + x^24*y*z0 - 2*x^24*z0^2 + x^22*y*z0^3 + x^23*y*z0 + x^23*z0^2 + 2*x^21*y*z0^3 + 2*x^21*z0^4 + 2*x^22*y*z0 + 2*x^20*y*z0^3 - x^20*z0^4 - 2*x^23 - 2*x^21*y*z0 - x^21*z0^2 + x^19*y*z0^3 - x^19*z0^4 - 2*x^20*y*z0 + x^18*y*z0^3 - 2*x^18*z0^4 + x^21 + x^19*y*z0 + 2*x^19*z0^2 - x^17*y*z0^3 - x^17*z0^4 + 2*x^20 + x^18*y*z0 + 2*x^18*z0^2 - x^16*z0^4 + x^19 - 2*x^17*y*z0 - 2*x^17*z0^2 - 2*x^15*y*z0^3 - x^15*z0^4 - 2*x^18 + x^16*y*z0 - x^16*z0^2 + x^14*y*z0^3 + x^14*z0^4 - 2*x^17 - x^15*y*z0 + 2*x^15*z0^2 - x^13*y*z0^3 - 2*x^13*z0^4 + 2*x^14*y*z0 - 2*x^12*y*z0^3 + x^12*z0^4 + x^15 + x^13*y*z0 + 2*x^13*z0^2 - x^11*y*z0^3 + x^11*z0^4 - x^14 - x^12*y*z0 + x^12*z0^2 + 2*x^10*y*z0^3 + x^10*z0^4 - x^13 - x^11*z0^2 - 2*x^9*y*z0^3 + 2*x^9*z0^4 + x^12 + 2*x^10*y*z0 + 2*x^10*z0^2 + 2*x^8*y*z0^3 + x^8*z0^4 + x^11 - x^9*z0^2 + x^7*y*z0^3 - 2*x^10 - x^8*y*z0 - x^8*z0^2 - x^6*y*z0^3 - 2*x^9 + x^7*y*z0 + 2*x^7*z0^2 - x^8 + x^6*y*z0 - x^6*z0^2 + x^4*y*z0^3 - 2*x^4*z0^4 - 2*x^5*y*z0 - x^5*z0^2 - 2*x^3*y*z0^3 - 2*x^3*z0^4 - 2*x^4*y*z0 - x^4*z0^2 - 2*x^5 - x^3*y*z0 + x^2*z0^2 - x^3)/y) * dx,
+ ((x^61*z0^3 + 2*x^60*z0^3 - x^58*y^2*z0^3 - 2*x^57*y^2*z0^3 - x^60*z0 + x^58*z0^3 - x^59*z0 + x^57*y^2*z0 - x^57*z0^3 - 2*x^55*y^2*z0^3 + x^56*y^2*z0 - x^54*y^2*z0^3 + x^57*z0 - x^55*z0^3 + x^56*z0 + x^54*z0^3 - x^54*z0 + x^52*z0^3 - x^53*z0 - x^51*z0^3 + x^51*z0 - 2*x^49*z0^3 + x^50*z0 + x^48*z0^3 + x^46*y^2*z0^3 - x^48*z0 + 2*x^46*z0^3 - x^47*z0 - x^45*z0^3 + x^45*z0 - 2*x^43*z0^3 + x^44*z0 + x^42*z0^3 + x^41*z0^3 + x^39*y*z0^4 - x^42*z0 - 2*x^40*y*z0^2 + x^40*z0^3 + x^38*y*z0^4 - x^41*z0 + 2*x^39*z0^3 - 2*x^37*y*z0^4 + x^38*y*z0^2 + 2*x^38*z0^3 - 2*x^36*y*z0^4 + 2*x^39*y - x^39*z0 + 2*x^37*y*z0^2 + x^35*y*z0^4 - 2*x^38*y - 2*x^36*y*z0^2 - 2*x^36*z0^3 + x^34*y*z0^4 + 2*x^37*z0 + 2*x^35*y*z0^2 - x^35*z0^3 + x^33*y*z0^4 - x^36*y - 2*x^36*z0 + x^34*z0^3 - x^32*y*z0^4 - x^35*y + x^35*z0 - 2*x^33*z0^3 + x^31*y*z0^4 + 2*x^34*y - 2*x^32*y*z0^2 - 2*x^32*z0^3 + x^30*y*z0^4 - 2*x^33*z0 - 2*x^31*z0^3 - x^29*y*z0^4 + 2*x^32*y - x^32*z0 + x^30*y*z0^2 - 2*x^30*z0^3 - 2*x^28*y*z0^4 - 2*x^31*z0 + x^29*y*z0^2 + 2*x^29*z0^3 - 2*x^27*y*z0^4 - 2*x^30*y + x^30*z0 - 2*x^28*z0^3 + 2*x^29*y - 2*x^27*y*z0^2 - x^27*z0^3 - x^25*y*z0^4 + 2*x^28*y + 2*x^28*z0 - 2*x^26*y*z0^2 - 2*x^26*z0^3 + 2*x^24*y*z0^4 - x^27*y + 2*x^25*y*z0^2 - x^25*z0^3 + 2*x^23*y*z0^4 + x^24*y*z0^2 + x^24*z0^3 - 2*x^22*y*z0^4 - 2*x^25*y + 2*x^25*z0 - 2*x^23*y*z0^2 + x^23*z0^3 - x^21*y*z0^4 - x^24*z0 - x^22*z0^3 + x^20*y*z0^4 + 2*x^23*y + 2*x^23*z0 - 2*x^21*y*z0^2 + 2*x^19*y*z0^4 + 2*x^22*y + 2*x^22*z0 - 2*x^20*y*z0^2 + 2*x^20*z0^3 - 2*x^18*y*z0^4 - x^21*y - 2*x^21*z0 - 2*x^19*y*z0^2 - 2*x^19*z0^3 - x^17*y*z0^4 - x^20*z0 + 2*x^18*y*z0^2 - 2*x^18*z0^3 - 2*x^16*y*z0^4 + 2*x^19*y + x^19*z0 - x^17*y*z0^2 - 2*x^17*z0^3 + 2*x^15*y*z0^4 + 2*x^18*y - x^18*z0 + 2*x^16*y*z0^2 + x^16*z0^3 + x^17*y + x^17*z0 + x^15*y*z0^2 + x^15*z0^3 - 2*x^13*y*z0^4 + x^16*y + 2*x^16*z0 - 2*x^14*y*z0^2 - 2*x^14*z0^3 + 2*x^12*y*z0^4 - 2*x^15*y + x^15*z0 - x^13*y*z0^2 - x^13*z0^3 + x^11*y*z0^4 - x^14*y - 2*x^14*z0 + x^12*y*z0^2 + 2*x^12*z0^3 - 2*x^10*y*z0^4 - x^13*y + 2*x^13*z0 + x^11*y*z0^2 - x^11*z0^3 + 2*x^9*y*z0^4 - x^12*y + x^12*z0 - x^10*y*z0^2 + 2*x^10*z0^3 + x^8*y*z0^4 - 2*x^11*y + 2*x^11*z0 - 2*x^9*y*z0^2 + x^9*z0^3 - x^7*y*z0^4 - 2*x^10*z0 + x^8*y*z0^2 + x^8*z0^3 + x^6*y*z0^4 - 2*x^9*y - x^7*y*z0^2 - 2*x^7*z0^3 - 2*x^5*y*z0^4 + x^8*y + x^8*z0 + 2*x^6*y*z0^2 - 2*x^6*z0^3 + x^4*y*z0^4 + x^7*y + x^5*y*z0^2 + 2*x^5*z0^3 + 2*x^3*y*z0^4 + x^6*y - x^6*z0 - 2*x^4*y*z0^2 - x^4*z0^3 - x^2*y*z0^4 + 2*x^3*y*z0^2 - 2*x^3*z0^3 + 2*x^4*y + 2*x^4*z0 + 2*x^2*y*z0^2 - 2*x^2*z0^3 + 2*x^3*y + x^3*z0 + x^2*y + 2*x^2*z0)/y) * dx,
+ ((-2*x^61*z0^4 + 2*x^58*y^2*z0^4 - x^59*z0^4 + 2*x^58*z0^4 + x^56*y^2*z0^4 - x^60 + x^56*z0^4 + x^57*y^2 - 2*x^55*z0^4 + x^57 - x^53*z0^4 + 2*x^52*z0^4 - x^54 + x^50*z0^4 + 2*x^49*z0^4 + x^46*y^2*z0^4 + x^51 - x^47*z0^4 - 2*x^46*z0^4 - x^48 + x^44*z0^4 + 2*x^43*z0^4 + x^45 + 2*x^41*z0^4 - x^40*y*z0^3 + 2*x^40*z0^4 - 2*x^39*z0^4 - x^42 + 2*x^40*z0^2 + x^38*y*z0^3 + x^38*z0^4 - 2*x^41 + x^39*y*z0 - x^37*y*z0^3 - 2*x^40 + 2*x^38*y*z0 - 2*x^37*z0^2 + x^35*y*z0^3 + x^35*z0^4 - x^38 + x^36*y*z0 + x^34*z0^4 + x^37 - 2*x^35*z0^2 + x^33*y*z0^3 + 2*x^33*z0^4 + 2*x^34*z0^2 - x^32*y*z0^3 - 2*x^32*z0^4 + 2*x^35 - x^33*z0^2 + 2*x^31*y*z0^3 + x^31*z0^4 - 2*x^32*y*z0 + x^30*y*z0^3 + 2*x^30*z0^4 - 2*x^33 + x^31*y*z0 + x^31*z0^2 - 2*x^29*y*z0^3 + 2*x^29*z0^4 + 2*x^32 - x^30*y*z0 + 2*x^30*z0^2 - 2*x^28*y*z0^3 - x^28*z0^4 - x^29*y*z0 - x^29*z0^2 + x^27*y*z0^3 + x^27*z0^4 - x^30 + 2*x^28*y*z0 - x^28*z0^2 - x^26*y*z0^3 + 2*x^29 - 2*x^27*y*z0 - x^27*z0^2 - x^25*y*z0^3 - x^25*z0^4 - x^28 - x^26*z0^2 - 2*x^24*z0^4 - 2*x^27 + x^25*z0^2 - x^23*y*z0^3 - 2*x^23*z0^4 - x^26 + 2*x^24*y*z0 + 2*x^24*z0^2 - 2*x^22*y*z0^3 + x^23*y*z0 - x^23*z0^2 + 2*x^21*z0^4 - 2*x^22*y*z0 - 2*x^22*z0^2 + 2*x^20*y*z0^3 - 2*x^20*z0^4 + 2*x^21*y*z0 - 2*x^21*z0^2 - x^19*y*z0^3 + x^19*z0^4 + 2*x^22 - 2*x^20*y*z0 - 2*x^20*z0^2 + x^18*y*z0^3 - x^18*z0^4 - x^21 - 2*x^19*y*z0 + 2*x^19*z0^2 + x^17*y*z0^3 - 2*x^17*z0^4 - 2*x^20 + x^18*z0^2 - 2*x^16*y*z0^3 + 2*x^16*z0^4 - 2*x^19 + x^17*y*z0 - 2*x^17*z0^2 + x^15*y*z0^3 + x^15*z0^4 - 2*x^18 - x^16*y*z0 + x^14*y*z0^3 + 2*x^14*z0^4 - 2*x^17 + x^15*y*z0 + 2*x^15*z0^2 - x^13*y*z0^3 - 2*x^13*z0^4 + 2*x^14*y*z0 + 2*x^14*z0^2 + 2*x^12*y*z0^3 - 2*x^12*z0^4 - 2*x^15 + x^13*y*z0 - 2*x^13*z0^2 + 2*x^11*y*z0^3 + x^11*z0^4 + 2*x^14 - x^12*z0^2 - x^10*y*z0^3 - x^11*y*z0 + x^11*z0^2 - 2*x^9*y*z0^3 - x^9*z0^4 - x^10*y*z0 + 2*x^8*y*z0^3 - x^8*z0^4 - 2*x^11 + x^9*y*z0 - x^9*z0^2 - x^7*y*z0^3 + 2*x^7*z0^4 - x^10 - 2*x^8*y*z0 + x^8*z0^2 + x^6*z0^4 + 2*x^9 + 2*x^7*y*z0 - x^5*y*z0^3 + x^5*z0^4 - 2*x^8 - 2*x^6*y*z0 + x^4*y*z0^3 - 2*x^4*z0^4 + 2*x^7 - 2*x^5*z0^2 - x^3*y*z0^3 - 2*x^3*z0^4 - x^6 - x^4*y*z0 + x^4*z0^2 - x^2*y*z0^3 - x^5 + 2*x^3*y*z0 + x^3*z0^2 + x^2*y*z0 + x^3)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((x^61*z0^2 + 2*x^59*z0^4 + 2*x^60*z0^2 - x^58*y^2*z0^2 - 2*x^56*y^2*z0^4 - x^61 - 2*x^57*y^2*z0^2 - 2*x^60 + x^58*y^2 - x^58*z0^2 - 2*x^56*z0^4 + 2*x^57*y^2 - 2*x^57*z0^2 + x^58 + 2*x^57 + x^55*z0^2 + 2*x^53*z0^4 + 2*x^54*z0^2 - x^55 - 2*x^54 - x^52*z0^2 - 2*x^50*z0^4 - 2*x^51*z0^2 + x^52 + 2*x^51 + x^49*z0^2 + 2*x^47*z0^4 - x^50 + 2*x^48*z0^2 - x^49 + x^47*y^2 - 2*x^48 - x^46*z0^2 - 2*x^44*z0^4 + x^47 - 2*x^45*z0^2 + x^46 + 2*x^45 + x^43*z0^2 - x^41*z0^4 - x^44 + 2*x^42*z0^2 + 2*x^40*z0^4 - x^43 + x^41*z0^2 + x^39*y*z0^3 + x^39*z0^4 - 2*x^42 - 2*x^40*y*z0 - x^40*z0^2 - x^38*y*z0^3 - x^38*z0^4 - 2*x^41 - x^39*y*z0 + 2*x^39*z0^2 + 2*x^37*z0^4 - x^40 + x^38*y*z0 + 2*x^38*z0^2 - 2*x^36*y*z0^3 + 2*x^36*z0^4 - 2*x^37*y*z0 + 2*x^37*z0^2 - 2*x^35*z0^4 + 2*x^38 + x^36*y*z0 - 2*x^36*z0^2 + 2*x^34*y*z0^3 + x^34*z0^4 - x^37 + x^35*y*z0 + x^35*z0^2 + x^33*y*z0^3 - x^33*z0^4 + x^36 + x^34*y*z0 - x^34*z0^2 - 2*x^32*y*z0^3 + 2*x^32*z0^4 + 2*x^35 - 2*x^33*y*z0 - x^31*y*z0^3 - x^31*z0^4 + x^34 + x^32*y*z0 + x^32*z0^2 + x^30*y*z0^3 - 2*x^30*z0^4 + x^33 - 2*x^31*y*z0 - x^31*z0^2 - x^29*y*z0^3 + 2*x^32 + x^30*y*z0 + 2*x^30*z0^2 - 2*x^28*y*z0^3 - x^28*z0^4 + 2*x^31 + 2*x^29*y*z0 + x^29*z0^2 - 2*x^27*y*z0^3 + x^27*z0^4 - x^28*y*z0 - 2*x^28*z0^2 + 2*x^26*y*z0^3 - x^29 + x^27*y*z0 - x^25*y*z0^3 - 2*x^25*z0^4 - 2*x^28 + x^26*z0^2 - x^24*y*z0^3 - x^24*z0^4 - x^27 + 2*x^25*z0^2 - x^26 + x^24*y*z0 - x^24*z0^2 - x^22*y*z0^3 - 2*x^25 - x^23*y*z0 + 2*x^23*z0^2 - x^21*y*z0^3 + x^21*z0^4 + x^24 + 2*x^22*y*z0 + 2*x^22*z0^2 - x^20*y*z0^3 + x^20*z0^4 + x^23 - 2*x^21*y*z0 + 2*x^19*y*z0^3 + 2*x^22 - x^20*y*z0 + 2*x^20*z0^2 - 2*x^18*y*z0^3 + x^21 + x^19*z0^2 + x^17*y*z0^3 - x^20 + 2*x^18*y*z0 + x^18*z0^2 + x^16*y*z0^3 + 2*x^19 + 2*x^17*y*z0 + 2*x^17*z0^2 - 2*x^15*z0^4 + x^18 - x^16*y*z0 + x^16*z0^2 - 2*x^14*y*z0^3 + x^14*z0^4 + 2*x^17 - 2*x^15*y*z0 - x^15*z0^2 + x^13*y*z0^3 + 2*x^13*z0^4 - 2*x^14*y*z0 - 2*x^14*z0^2 - x^12*y*z0^3 + 2*x^12*z0^4 + 2*x^13*y*z0 - x^13*z0^2 + 2*x^11*y*z0^3 - 2*x^14 - 2*x^12*y*z0 - x^12*z0^2 + x^10*y*z0^3 - 2*x^10*z0^4 + 2*x^13 - 2*x^11*z0^2 + 2*x^9*y*z0^3 - 2*x^9*z0^4 + 2*x^12 - 2*x^10*y*z0 - x^8*y*z0^3 - x^9*y*z0 + 2*x^9*z0^2 + 2*x^7*y*z0^3 - x^7*z0^4 - x^8*y*z0 + x^8*z0^2 + x^9 - 2*x^7*z0^2 + x^5*y*z0^3 - x^5*z0^4 - x^6*y*z0 - x^6*z0^2 - x^4*y*z0^3 - x^4*z0^4 + x^7 + 2*x^5*y*z0 - 2*x^5*z0^2 - x^3*y*z0^3 + 2*x^3*z0^4 + x^6 + x^4*y*z0 + x^4*z0^2 - 2*x^2*y*z0^3 + 2*x^2*z0^4 - 2*x^5 + 2*x^3*y*z0 - 2*x^3*z0^2 - x^2*y*z0 - 2*x^2*z0^2 - x^3)/y) * dx,
+ ((-2*x^60*z0^3 + x^61*z0 + x^59*z0^3 + 2*x^57*y^2*z0^3 + 2*x^60*z0 - x^58*y^2*z0 - 2*x^58*z0^3 - x^56*y^2*z0^3 + x^59*z0 - 2*x^57*y^2*z0 + x^57*z0^3 + 2*x^55*y^2*z0^3 - x^58*z0 - x^56*y^2*z0 - x^56*z0^3 + x^54*y^2*z0^3 - 2*x^57*z0 + 2*x^55*z0^3 - x^56*z0 - x^54*z0^3 + x^55*z0 + x^53*z0^3 + 2*x^54*z0 - 2*x^52*z0^3 + x^53*z0 + x^51*z0^3 - x^52*z0 - x^50*z0^3 - 2*x^51*z0 + 2*x^49*z0^3 - 2*x^50*z0 - x^48*z0^3 + x^49*z0 + x^47*y^2*z0 + x^47*z0^3 + 2*x^48*z0 - 2*x^46*z0^3 + 2*x^47*z0 + x^45*z0^3 - x^46*z0 - x^44*z0^3 - 2*x^45*z0 + 2*x^43*z0^3 - 2*x^44*z0 - x^42*z0^3 + x^43*z0 + x^41*z0^3 + 2*x^42*z0 + x^40*z0^3 + x^38*y*z0^4 - 2*x^41*z0 + x^39*y*z0^2 - x^39*z0^3 + 2*x^37*y*z0^4 - 2*x^40*y - x^40*z0 - x^38*y*z0^2 + 2*x^36*y*z0^4 - x^39*y - x^39*z0 - 2*x^37*y*z0^2 + x^37*z0^3 - x^38*y + x^38*z0 - x^36*z0^3 - 2*x^34*y*z0^4 + x^37*y + x^37*z0 + x^35*y*z0^2 + x^35*z0^3 - x^33*y*z0^4 - x^36*y - x^36*z0 + x^34*y*z0^2 - x^34*z0^3 - 2*x^35*y - 2*x^35*z0 + x^33*y*z0^2 + x^33*z0^3 - x^31*y*z0^4 - 2*x^34*y - 2*x^32*y*z0^2 + 2*x^32*z0^3 - 2*x^33*y + 2*x^33*z0 - x^29*y*z0^4 - x^32*y - 2*x^30*y*z0^2 - 2*x^30*z0^3 + 2*x^28*y*z0^4 + 2*x^31*y - 2*x^29*y*z0^2 + 2*x^27*y*z0^4 - x^30*y + 2*x^30*z0 - x^28*y*z0^2 - 2*x^28*z0^3 - x^29*z0 - 2*x^27*y*z0^2 - x^27*z0^3 - x^25*y*z0^4 - x^28*z0 - 2*x^26*y*z0^2 - 2*x^27*z0 - 2*x^25*y*z0^2 + x^25*z0^3 - 2*x^23*y*z0^4 + x^26*y - x^26*z0 - x^24*y*z0^2 + x^24*z0^3 + x^22*y*z0^4 - 2*x^25*y - x^25*z0 + x^23*y*z0^2 + x^23*z0^3 + 2*x^21*y*z0^4 - x^24*y - 2*x^24*z0 + 2*x^22*y*z0^2 + x^22*z0^3 - x^23*z0 + x^21*y*z0^2 - 2*x^19*y*z0^4 + 2*x^22*y + 2*x^22*z0 - 2*x^20*z0^3 + x^18*y*z0^4 - 2*x^21*y + 2*x^21*z0 + 2*x^19*z0^3 - 2*x^17*y*z0^4 + 2*x^20*y + x^18*y*z0^2 + x^18*z0^3 - x^16*y*z0^4 + 2*x^19*y + 2*x^19*z0 + 2*x^17*y*z0^2 - 2*x^17*z0^3 + 2*x^15*y*z0^4 + 2*x^18*y - 2*x^18*z0 + x^16*y*z0^2 + 2*x^14*y*z0^4 - 2*x^17*y - x^17*z0 + x^15*y*z0^2 + x^15*z0^3 - 2*x^16*y - x^16*z0 + x^14*y*z0^2 - x^15*y - x^15*z0 - x^13*y*z0^2 - x^11*y*z0^4 - 2*x^14*y + 2*x^12*y*z0^2 - x^12*z0^3 + x^13*y - 2*x^13*z0 + 2*x^11*z0^3 - 2*x^9*y*z0^4 + 2*x^12*y - x^12*z0 + x^10*y*z0^2 - x^10*z0^3 - x^8*y*z0^4 - x^11*y + 2*x^11*z0 + x^9*y*z0^2 + 2*x^7*y*z0^4 + x^10*z0 + 2*x^8*z0^3 + 2*x^6*y*z0^4 - x^9*y + x^7*y*z0^2 - 2*x^5*y*z0^4 + x^8*y + x^8*z0 - x^6*z0^3 + 2*x^7*y - x^7*z0 + x^5*y*z0^2 - 2*x^5*z0^3 + 2*x^3*y*z0^4 + 2*x^6*y + x^4*z0^3 - 2*x^2*y*z0^4 + 2*x^5*y + x^5*z0 + x^3*y*z0^2 - x^3*z0^3 + 2*x^4*y - 2*x^4*z0 + x^2*y*z0^2 - 2*x^3*y - x^3*z0 - 2*x^2*y - 2*x^2*z0)/y) * dx,
+ ((-2*x^61*z0^4 + 2*x^58*y^2*z0^4 - x^61*z0^2 + 2*x^59*z0^4 + x^60*z0^2 + x^58*y^2*z0^2 + 2*x^58*z0^4 - 2*x^56*y^2*z0^4 - x^61 - x^57*y^2*z0^2 - x^60 + x^58*y^2 + x^58*z0^2 - 2*x^56*z0^4 + x^57*y^2 - x^57*z0^2 - 2*x^55*z0^4 + x^58 + x^57 - x^55*z0^2 + 2*x^53*z0^4 + x^54*z0^2 + 2*x^52*z0^4 - x^55 - x^54 + x^52*z0^2 - 2*x^50*z0^4 - x^51*z0^2 - 2*x^49*z0^4 + x^52 - x^50*z0^2 + x^51 - x^49*z0^2 + x^47*y^2*z0^2 + 2*x^47*z0^4 + x^48*z0^2 + 2*x^46*z0^4 - x^49 + x^47*z0^2 - x^48 + x^46*z0^2 - 2*x^44*z0^4 - x^45*z0^2 - 2*x^43*z0^4 + x^46 - x^44*z0^2 + x^45 - x^43*z0^2 + 2*x^41*z0^4 + x^42*z0^2 - x^40*y*z0^3 - 2*x^40*z0^4 - x^43 - x^39*y*z0^3 - x^42 + 2*x^40*y*z0 + x^40*z0^2 - x^38*y*z0^3 + 2*x^38*y*z0 + 2*x^38*z0^2 + 2*x^36*y*z0^3 + 2*x^36*z0^4 + x^39 + 2*x^37*y*z0 - x^37*z0^2 + x^35*y*z0^3 - x^35*z0^4 - x^38 - x^36*y*z0 + x^34*y*z0^3 - 2*x^34*z0^4 - x^35*y*z0 - x^33*y*z0^3 + x^33*z0^4 + x^36 + 2*x^34*y*z0 + x^34*z0^2 - x^32*z0^4 - x^35 - 2*x^33*y*z0 + 2*x^33*z0^2 + 2*x^31*y*z0^3 - 2*x^31*z0^4 + x^34 - x^32*y*z0 + 2*x^30*y*z0^3 + 2*x^30*z0^4 - x^33 - x^31*y*z0 - 2*x^31*z0^2 + 2*x^29*z0^4 + x^32 + x^30*y*z0 + 2*x^30*z0^2 + x^28*y*z0^3 + x^28*z0^4 - 2*x^31 + 2*x^29*y*z0 - x^29*z0^2 - 2*x^27*y*z0^3 + 2*x^27*z0^4 + x^30 + x^28*y*z0 + x^28*z0^2 + x^26*z0^4 - 2*x^29 - 2*x^27*y*z0 - x^27*z0^2 - 2*x^25*y*z0^3 + x^25*z0^4 + x^28 - x^27 - x^25*y*z0 - 2*x^25*z0^2 + 2*x^23*y*z0^3 + 2*x^23*z0^4 - x^26 + x^24*z0^2 - 2*x^22*y*z0^3 - x^22*z0^4 - x^25 + 2*x^23*y*z0 - x^23*z0^2 - x^21*y*z0^3 + x^21*z0^4 + x^24 - 2*x^22*y*z0 + 2*x^20*y*z0^3 - x^20*z0^4 + x^23 - 2*x^21*z0^2 + x^19*y*z0^3 + 2*x^19*z0^4 + x^22 - 2*x^20*y*z0 - x^20*z0^2 - x^18*y*z0^3 - x^18*z0^4 + 2*x^21 + x^19*y*z0 - 2*x^19*z0^2 - x^17*y*z0^3 - 2*x^17*z0^4 - 2*x^20 + 2*x^18*y*z0 - x^18*z0^2 + x^16*y*z0^3 - x^16*z0^4 + 2*x^19 - x^17*y*z0 - x^15*z0^4 + 2*x^18 - x^16*y*z0 + x^16*z0^2 - x^14*y*z0^3 - x^14*z0^4 + 2*x^15*y*z0 + 2*x^15*z0^2 + 2*x^13*y*z0^3 - x^13*z0^4 - 2*x^16 + 2*x^14*y*z0 - x^14*z0^2 - x^12*y*z0^3 - 2*x^15 - 2*x^13*y*z0 + 2*x^13*z0^2 + 2*x^11*z0^4 - 2*x^14 + 2*x^12*y*z0 - x^12*z0^2 - x^10*y*z0^3 + 2*x^10*z0^4 + 2*x^13 + 2*x^11*y*z0 + 2*x^11*z0^2 + 2*x^9*y*z0^3 + x^9*z0^4 - 2*x^12 + x^10*y*z0 - x^10*z0^2 - x^8*y*z0^3 - x^8*z0^4 - 2*x^9*y*z0 - 2*x^9*z0^2 - x^7*y*z0^3 + 2*x^7*z0^4 - x^10 + x^8*y*z0 - x^8*z0^2 - x^6*z0^4 + 2*x^9 + x^7*y*z0 - 2*x^7*z0^2 + 2*x^5*y*z0^3 + 2*x^5*z0^4 - x^8 - x^6*y*z0 - x^6*z0^2 + 2*x^4*y*z0^3 + x^4*z0^4 - 2*x^7 - x^5*z0^2 - 2*x^3*y*z0^3 - x^3*z0^4 - x^4*y*z0 + x^4*z0^2 + x^3*y*z0 + 2*x^3*z0^2 + x^2)/y) * dx,
+ ((x^61*z0^3 - x^58*y^2*z0^3 + x^61*z0 + 2*x^59*z0^3 - 2*x^60*z0 - x^58*y^2*z0 - 2*x^56*y^2*z0^3 - x^59*z0 + 2*x^57*y^2*z0 - 2*x^57*z0^3 - x^55*y^2*z0^3 - x^58*z0 + x^56*y^2*z0 - 2*x^56*z0^3 + 2*x^54*y^2*z0^3 + 2*x^57*z0 + x^56*z0 + 2*x^54*z0^3 + x^55*z0 + 2*x^53*z0^3 - 2*x^54*z0 - x^53*z0 - 2*x^51*z0^3 - x^52*z0 + 2*x^50*z0^3 + 2*x^51*z0 + x^47*y^2*z0^3 + x^50*z0 + 2*x^48*z0^3 + x^49*z0 - 2*x^47*z0^3 - 2*x^48*z0 - x^47*z0 - 2*x^45*z0^3 - x^46*z0 + 2*x^44*z0^3 + 2*x^45*z0 + x^44*z0 + 2*x^42*z0^3 + x^43*z0 - x^41*z0^3 + x^39*y*z0^4 - 2*x^42*z0 - 2*x^40*y*z0^2 - 2*x^40*z0^3 - 2*x^38*y*z0^4 + x^39*y*z0^2 - 2*x^37*y*z0^4 - 2*x^40*y - 2*x^40*z0 - x^38*y*z0^2 + x^38*z0^3 + 2*x^36*y*z0^4 + x^39*y - x^39*z0 + x^37*y*z0^2 - 2*x^37*z0^3 - x^35*y*z0^4 + 2*x^38*y + 2*x^38*z0 + x^36*y*z0^2 + x^36*z0^3 + x^37*y - x^37*z0 - x^35*y*z0^2 - x^36*y - 2*x^36*z0 - x^34*y*z0^2 + 2*x^34*z0^3 + x^35*y - x^33*y*z0^2 + x^33*z0^3 - x^34*y + 2*x^34*z0 - 2*x^32*y*z0^2 - x^32*z0^3 - 2*x^30*y*z0^4 - x^33*y - 2*x^33*z0 + x^31*y*z0^2 - 2*x^29*y*z0^4 - 2*x^32*y + x^32*z0 + 2*x^30*y*z0^2 + 2*x^28*y*z0^4 + 2*x^31*y + x^31*z0 + x^29*y*z0^2 - 2*x^29*z0^3 + x^27*y*z0^4 + 2*x^30*y - 2*x^30*z0 + x^28*y*z0^2 - x^28*z0^3 + 2*x^26*y*z0^4 + x^29*z0 - x^27*z0^3 - x^25*y*z0^4 - 2*x^28*y + x^26*y*z0^2 + x^26*z0^3 + x^24*y*z0^4 - x^27*y + x^27*z0 + x^25*y*z0^2 - x^25*z0^3 - 2*x^23*y*z0^4 + x^26*z0 - x^24*y*z0^2 - 2*x^24*z0^3 - 2*x^22*y*z0^4 + x^25*y + 2*x^25*z0 + 2*x^23*y*z0^2 + x^23*z0^3 - 2*x^24*y + x^22*y*z0^2 + x^22*z0^3 + 2*x^20*y*z0^4 - 2*x^23*z0 + x^21*y*z0^2 - 2*x^21*z0^3 + 2*x^19*y*z0^4 + x^22*y + 2*x^22*z0 - x^18*y*z0^4 + x^19*y*z0^2 - x^19*z0^3 - x^17*y*z0^4 - 2*x^20*y + 2*x^20*z0 + x^18*z0^3 + 2*x^16*y*z0^4 + 2*x^19*y - x^19*z0 + 2*x^17*y*z0^2 + x^17*z0^3 - x^15*y*z0^4 - x^18*y + 2*x^18*z0 + 2*x^16*y*z0^2 + x^16*z0^3 + 2*x^14*y*z0^4 + x^17*y + 2*x^17*z0 + 2*x^15*y*z0^2 - 2*x^15*z0^3 + x^13*y*z0^4 - 2*x^16*z0 - x^14*y*z0^2 + 2*x^14*z0^3 - 2*x^12*y*z0^4 - x^15*z0 + 2*x^13*y*z0^2 + x^13*z0^3 + 2*x^11*y*z0^4 + x^14*y + 2*x^14*z0 + x^12*y*z0^2 - 2*x^12*z0^3 - x^10*y*z0^4 - x^13*y + 2*x^13*z0 + 2*x^11*y*z0^2 + x^9*y*z0^4 + 2*x^12*y + 2*x^12*z0 + x^10*y*z0^2 + 2*x^10*z0^3 - x^8*y*z0^4 + 2*x^11*y - x^9*y*z0^2 + x^9*z0^3 + x^7*y*z0^4 - 2*x^10*y - x^10*z0 - x^8*y*z0^2 + x^8*z0^3 - x^6*y*z0^4 - x^9*y + x^9*z0 + 2*x^7*y*z0^2 + x^7*z0^3 + x^5*y*z0^4 - 2*x^8*y - x^6*y*z0^2 + x^6*z0^3 + 2*x^4*y*z0^4 + 2*x^7*y + x^7*z0 - 2*x^5*y*z0^2 + x^5*z0^3 + 2*x^6*z0 + x^4*y*z0^2 + x^4*z0^3 - x^2*y*z0^4 - x^5*y - x^5*z0 + 2*x^3*z0^3 - x^4*y + x^4*z0 + 2*x^2*y*z0^2 - 2*x^2*z0^3 + x^3*y - x^3*z0 + x^2*z0)/y) * dx,
+ ((-x^61*z0^4 + x^58*y^2*z0^4 - 2*x^61*z0^2 + 2*x^59*z0^4 - 2*x^60*z0^2 + 2*x^58*y^2*z0^2 + x^58*z0^4 - 2*x^56*y^2*z0^4 + x^61 + 2*x^57*y^2*z0^2 - 2*x^60 - x^58*y^2 + 2*x^58*z0^2 - 2*x^56*z0^4 + 2*x^57*y^2 + 2*x^57*z0^2 - x^55*z0^4 - x^58 + 2*x^57 - 2*x^55*z0^2 + 2*x^53*z0^4 - 2*x^54*z0^2 + x^52*z0^4 + x^55 - 2*x^54 + 2*x^52*z0^2 + 2*x^50*z0^4 + 2*x^51*z0^2 - x^49*z0^4 + x^47*y^2*z0^4 - x^52 + 2*x^51 - 2*x^49*z0^2 - 2*x^47*z0^4 - 2*x^48*z0^2 + x^46*z0^4 + x^49 - 2*x^48 + 2*x^46*z0^2 + 2*x^44*z0^4 + 2*x^45*z0^2 - x^43*z0^4 - x^46 + 2*x^45 - 2*x^43*z0^2 - 2*x^42*z0^2 + 2*x^40*y*z0^3 + x^43 - 2*x^41*z0^2 - 2*x^39*y*z0^3 - 2*x^42 - x^40*y*z0 + 2*x^40*z0^2 + x^38*y*z0^3 - 2*x^38*z0^4 + 2*x^41 - x^39*y*z0 - x^39*z0^2 + 2*x^37*y*z0^3 - 2*x^37*z0^4 - x^40 + 2*x^38*y*z0 + x^38*z0^2 - x^36*y*z0^3 - 2*x^36*z0^4 + 2*x^39 - 2*x^37*y*z0 - 2*x^37*z0^2 + x^35*y*z0^3 - 2*x^38 + x^36*y*z0 + x^36*z0^2 - 2*x^34*y*z0^3 - 2*x^34*z0^4 + x^37 + 2*x^35*y*z0 + x^33*y*z0^3 - 2*x^33*z0^4 - x^36 + x^34*y*z0 - 2*x^34*z0^2 - x^32*y*z0^3 - x^32*z0^4 - 2*x^35 + x^33*y*z0 + x^33*z0^2 - x^31*y*z0^3 + x^31*z0^4 - 2*x^34 + 2*x^32*z0^2 + x^30*y*z0^3 - 2*x^33 - x^31*y*z0 - x^31*z0^2 - x^29*y*z0^3 + 2*x^29*z0^4 + 2*x^32 + 2*x^28*z0^4 - 2*x^31 - x^29*y*z0 + x^29*z0^2 - x^27*y*z0^3 - x^27*z0^4 - x^30 - x^28*y*z0 - x^28*z0^2 - 2*x^26*y*z0^3 + 2*x^29 + 2*x^27*y*z0 - x^25*z0^4 + 2*x^28 + x^26*y*z0 - 2*x^26*z0^2 + x^24*y*z0^3 - x^25*y*z0 - 2*x^25*z0^2 + x^26 + x^24*y*z0 + 2*x^24*z0^2 + x^22*z0^4 + 2*x^23*y*z0 - 2*x^23*z0^2 - 2*x^21*y*z0^3 + x^24 - 2*x^22*y*z0 - 2*x^22*z0^2 - 2*x^20*z0^4 - x^23 - x^21*y*z0 - 2*x^21*z0^2 + 2*x^19*z0^4 - 2*x^22 + x^20*y*z0 - 2*x^20*z0^2 - 2*x^18*y*z0^3 + x^18*z0^4 + x^21 + 2*x^19*y*z0 + x^19*z0^2 - 2*x^17*y*z0^3 - 2*x^17*z0^4 + 2*x^20 + x^18*y*z0 + x^16*y*z0^3 - x^16*z0^4 + x^19 + 2*x^17*y*z0 - x^15*y*z0^3 - 2*x^18 - x^16*y*z0 + x^14*y*z0^3 + 2*x^14*z0^4 + x^15*y*z0 + x^15*z0^2 + 2*x^13*y*z0^3 + x^13*z0^4 + 2*x^16 + x^14*y*z0 + x^14*z0^2 + 2*x^12*y*z0^3 + 2*x^12*z0^4 - 2*x^15 + 2*x^13*y*z0 - 2*x^13*z0^2 + x^11*y*z0^3 - 2*x^11*z0^4 - x^14 - x^12*y*z0 + x^10*y*z0^3 + x^11*y*z0 - 2*x^11*z0^2 + x^9*y*z0^3 + x^9*z0^4 - 2*x^10*z0^2 + 2*x^8*y*z0^3 - x^11 + x^9*y*z0 - 2*x^9*z0^2 - 2*x^7*y*z0^3 - 2*x^7*z0^4 - x^10 + x^6*y*z0^3 + x^6*z0^4 - x^9 + 2*x^7*y*z0 - x^7*z0^2 + 2*x^5*y*z0^3 + x^5*z0^4 - 2*x^8 - x^6*y*z0 + x^6*z0^2 + x^4*y*z0^3 - 2*x^4*z0^4 + 2*x^7 - 2*x^5*y*z0 + x^5*z0^2 + 2*x^3*y*z0^3 - 2*x^3*z0^4 + x^6 - 2*x^4*y*z0 - 2*x^4*z0^2 - x^2*y*z0^3 + x^2*z0^4 - 2*x^5 - 2*x^3*y*z0 - x^3*z0^2 + x^2*y*z0 + x^2*z0^2 - x^3 + x^2)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^61*z0^4 + 2*x^60*z0^4 + x^58*y^2*z0^4 + x^61*z0^2 - 2*x^57*y^2*z0^4 - x^58*y^2*z0^2 + x^58*z0^4 + 2*x^61 - 2*x^57*z0^4 - 2*x^60 - 2*x^58*y^2 - x^58*z0^2 + 2*x^57*y^2 - x^55*z0^4 - 2*x^58 + 2*x^54*z0^4 + 2*x^57 + x^55*z0^2 + x^52*z0^4 + 2*x^55 - 2*x^51*z0^4 - 2*x^54 - x^52*z0^2 - x^49*z0^4 - 2*x^52 + 2*x^48*z0^4 + x^51 + x^49*z0^2 + x^48*y^2 + x^46*z0^4 + 2*x^49 - 2*x^45*z0^4 - x^48 - x^46*z0^2 - x^43*z0^4 - 2*x^46 + 2*x^42*z0^4 + x^45 + x^43*z0^2 + 2*x^40*y*z0^3 - 2*x^40*z0^4 + 2*x^43 + x^41*z0^2 + x^39*y*z0^3 - 2*x^39*z0^4 - x^42 - 2*x^40*y*z0 - x^38*y*z0^3 + x^39*y*z0 - x^39*z0^2 + 2*x^37*y*z0^3 - 2*x^37*z0^4 - 2*x^40 - 2*x^38*y*z0 + 2*x^38*z0^2 - 2*x^36*y*z0^3 - x^36*z0^4 + x^39 - x^37*y*z0 - x^37*z0^2 - 2*x^35*y*z0^3 - 2*x^35*z0^4 - x^36*y*z0 + x^36*z0^2 + 2*x^34*z0^4 + 2*x^37 + x^35*y*z0 + 2*x^35*z0^2 - 2*x^33*y*z0^3 + x^33*z0^4 - x^36 - x^34*y*z0 + x^34*z0^2 - x^32*y*z0^3 - 2*x^32*z0^4 - x^33*y*z0 - x^33*z0^2 + x^31*y*z0^3 - 2*x^31*z0^4 - x^34 - x^32*y*z0 - x^32*z0^2 - x^30*z0^4 - x^33 - 2*x^31*y*z0 + x^31*z0^2 + x^29*y*z0^3 - x^29*z0^4 - 2*x^32 + 2*x^30*y*z0 + x^30*z0^2 - x^28*y*z0^3 - x^28*z0^4 + 2*x^31 + x^29*y*z0 + x^27*y*z0^3 - 2*x^27*z0^4 - 2*x^30 - 2*x^28*y*z0 - x^28*z0^2 + 2*x^26*y*z0^3 + 2*x^29 + 2*x^27*y*z0 - 2*x^27*z0^2 + x^25*y*z0^3 + 2*x^25*z0^4 - x^28 - 2*x^26*y*z0 + x^26*z0^2 + x^24*z0^4 - 2*x^27 - x^25*y*z0 + x^25*z0^2 + 2*x^23*y*z0^3 + x^23*z0^4 - 2*x^26 - x^24*z0^2 + 2*x^22*y*z0^3 - 2*x^22*z0^4 + x^25 - x^23*y*z0 + x^23*z0^2 + 2*x^21*y*z0^3 + 2*x^21*z0^4 + 2*x^24 - 2*x^22*y*z0 - 2*x^20*y*z0^3 + x^20*z0^4 - x^23 + x^21*y*z0 - x^21*z0^2 - x^19*y*z0^3 - x^19*z0^4 - x^20*y*z0 + 2*x^20*z0^2 - 2*x^18*y*z0^3 + x^18*z0^4 - 2*x^21 - 2*x^19*y*z0 + 2*x^17*y*z0^3 + x^20 - x^18*y*z0 + 2*x^18*z0^2 + x^16*y*z0^3 + x^16*z0^4 + x^19 + 2*x^17*y*z0 + 2*x^17*z0^2 - x^15*y*z0^3 - x^15*z0^4 - 2*x^18 + x^16*z0^2 - 2*x^14*y*z0^3 - 2*x^14*z0^4 - x^17 + x^15*y*z0 - x^13*y*z0^3 - x^13*z0^4 + 2*x^16 - 2*x^14*y*z0 - 2*x^14*z0^2 + x^12*y*z0^3 - x^12*z0^4 + x^15 + x^13*y*z0 + 2*x^13*z0^2 - x^11*y*z0^3 - x^11*z0^4 + 2*x^14 - 2*x^12*y*z0 - 2*x^12*z0^2 + x^10*y*z0^3 - x^10*z0^4 + x^13 + 2*x^11*y*z0 + 2*x^11*z0^2 + x^9*y*z0^3 - 2*x^10*y*z0 + 2*x^10*z0^2 - 2*x^8*y*z0^3 - 2*x^8*z0^4 - x^11 - 2*x^9*y*z0 + x^9*z0^2 - x^7*y*z0^3 - 2*x^10 + 2*x^8*y*z0 - 2*x^8*z0^2 + 2*x^6*y*z0^3 + 2*x^7*z0^2 + 2*x^5*y*z0^3 - 2*x^5*z0^4 - 2*x^8 - x^6*y*z0 + x^6*z0^2 - 2*x^4*y*z0^3 + 2*x^4*z0^4 + 2*x^7 - x^5*y*z0 - 2*x^5*z0^2 + x^3*y*z0^3 + x^6 + 2*x^4*z0^2 + x^2*y*z0^3 - x^2*z0^4 - x^5 + x^3*y*z0 - x^3*z0^2 + x^2*y*z0 + 2*x^3 - 2*x^2)/y) * dx,
+ ((2*x^61*z0^3 + x^60*z0^3 - 2*x^58*y^2*z0^3 - 2*x^59*z0^3 - x^57*y^2*z0^3 + 2*x^60*z0 - 2*x^58*z0^3 + 2*x^56*y^2*z0^3 - 2*x^57*y^2*z0 + 2*x^56*z0^3 - x^54*y^2*z0^3 - 2*x^57*z0 + 2*x^55*z0^3 - 2*x^53*z0^3 + 2*x^54*z0 - 2*x^52*z0^3 + 2*x^50*z0^3 + 2*x^51*z0 + 2*x^49*z0^3 + x^48*y^2*z0 - 2*x^47*z0^3 - 2*x^48*z0 - 2*x^46*z0^3 + 2*x^44*z0^3 + 2*x^45*z0 + 2*x^43*z0^3 + 2*x^39*y*z0^4 - 2*x^42*z0 + x^40*y*z0^2 + 2*x^40*z0^3 - 2*x^38*y*z0^4 - x^39*z0^3 - x^37*y*z0^4 - x^38*z0^3 + 2*x^36*y*z0^4 + 2*x^39*z0 - 2*x^37*y*z0^2 - x^37*z0^3 - 2*x^35*y*z0^4 + 2*x^38*y + 2*x^34*y*z0^4 + 2*x^35*y*z0^2 + 2*x^35*z0^3 + 2*x^33*y*z0^4 - 2*x^36*z0 + 2*x^34*y*z0^2 + x^32*y*z0^4 + x^35*y - x^35*z0 - 2*x^33*y*z0^2 + 2*x^34*z0 - x^32*y*z0^2 - 2*x^32*z0^3 + 2*x^33*y - x^33*z0 - x^31*y*z0^2 - 2*x^31*z0^3 - 2*x^29*y*z0^4 - 2*x^30*y*z0^2 + 2*x^31*y - 2*x^31*z0 + x^29*y*z0^2 - 2*x^29*z0^3 + 2*x^27*y*z0^4 + 2*x^30*y + x^28*z0^3 + x^26*y*z0^4 - x^29*y + x^29*z0 - 2*x^27*z0^3 - 2*x^28*y - x^28*z0 + 2*x^26*y*z0^2 + x^24*y*z0^4 - x^27*y - 2*x^25*y*z0^2 - x^25*z0^3 + 2*x^26*y - x^26*z0 - x^24*y*z0^2 - 2*x^22*y*z0^4 - 2*x^25*y + x^23*y*z0^2 - 2*x^21*y*z0^4 + 2*x^24*y + 2*x^24*z0 + 2*x^22*y*z0^2 - x^22*z0^3 + 2*x^20*y*z0^4 + x^23*y - x^23*z0 - 2*x^22*z0 + 2*x^20*y*z0^2 + x^20*z0^3 - x^18*y*z0^4 - 2*x^21*z0 - x^19*z0^3 + x^20*y - x^20*z0 + x^18*z0^3 - 2*x^16*y*z0^4 - x^19*z0 + x^17*y*z0^2 + 2*x^17*z0^3 + 2*x^15*y*z0^4 - x^18*y - 2*x^18*z0 - 2*x^16*y*z0^2 - x^16*z0^3 - 2*x^14*y*z0^4 - x^17*y + x^17*z0 - 2*x^15*y*z0^2 + 2*x^15*z0^3 + x^13*y*z0^4 + 2*x^16*y - x^16*z0 + x^12*y*z0^4 + x^15*y + 2*x^15*z0 + x^13*y*z0^2 + 2*x^13*z0^3 - 2*x^11*y*z0^4 + x^14*y - 2*x^14*z0 - 2*x^12*y*z0^2 - x^12*z0^3 + x^10*y*z0^4 - x^13*y - x^13*z0 - x^11*y*z0^2 - 2*x^11*z0^3 - 2*x^9*y*z0^4 - 2*x^12*y - x^10*y*z0^2 + x^10*z0^3 - 2*x^8*y*z0^4 - x^11*y - 2*x^11*z0 + x^9*z0^3 + 2*x^10*z0 + 2*x^8*z0^3 + x^6*y*z0^4 + 2*x^9*y - x^9*z0 + x^7*y*z0^2 + x^7*z0^3 + 2*x^5*y*z0^4 + x^8*y - x^8*z0 + x^6*y*z0^2 + x^6*z0^3 - 2*x^7*z0 + x^5*y*z0^2 - x^5*z0^3 - 2*x^3*y*z0^4 + 2*x^6*y - 2*x^6*z0 + x^4*y*z0^2 + 2*x^4*z0^3 - x^2*y*z0^4 + 2*x^5*y - x^5*z0 - x^3*y*z0^2 + x^3*z0^3 + x^4*z0 - 2*x^2*z0^3 + x^3*y + x^3*z0 + 2*x^2*y)/y) * dx,
+ ((x^61*z0^4 - x^58*y^2*z0^4 + 2*x^59*z0^4 - 2*x^60*z0^2 - x^58*z0^4 - 2*x^56*y^2*z0^4 + 2*x^61 + 2*x^57*y^2*z0^2 + 2*x^60 - 2*x^58*y^2 - 2*x^56*z0^4 - 2*x^57*y^2 + 2*x^57*z0^2 + x^55*z0^4 - 2*x^58 - 2*x^57 + 2*x^53*z0^4 - 2*x^54*z0^2 - x^52*z0^4 + 2*x^55 + 2*x^54 - 2*x^50*z0^4 + x^51*z0^2 + x^49*z0^4 - 2*x^52 + x^48*y^2*z0^2 - 2*x^51 + 2*x^47*z0^4 - x^48*z0^2 - x^46*z0^4 + 2*x^49 + 2*x^48 - 2*x^44*z0^4 + x^45*z0^2 + x^43*z0^4 - 2*x^46 - 2*x^45 - x^41*z0^4 - x^42*z0^2 - 2*x^40*y*z0^3 + x^40*z0^4 + 2*x^43 + 2*x^42 - x^40*z0^2 - 2*x^38*y*z0^3 - x^38*z0^4 + 2*x^41 - x^39*y*z0 + x^39*z0^2 - 2*x^37*z0^4 + 2*x^40 + x^38*y*z0 - x^36*z0^4 + x^39 + 2*x^37*y*z0 - 2*x^37*z0^2 - 2*x^35*y*z0^3 + x^35*z0^4 - 2*x^38 + x^36*y*z0 - x^36*z0^2 - 2*x^34*y*z0^3 + 2*x^34*z0^4 - x^37 - 2*x^33*y*z0^3 - 2*x^33*z0^4 - x^36 + 2*x^34*z0^2 + 2*x^32*y*z0^3 + x^32*z0^4 - 2*x^35 - x^33*y*z0 - 2*x^31*y*z0^3 - x^31*z0^4 - 2*x^34 - x^32*y*z0 + x^32*z0^2 - x^30*y*z0^3 + x^30*z0^4 - x^33 - x^31*z0^2 - 2*x^29*y*z0^3 + 2*x^29*z0^4 - x^32 + x^30*y*z0 + 2*x^28*y*z0^3 - x^28*z0^4 - 2*x^29*y*z0 - x^29*z0^2 + x^27*y*z0^3 - 2*x^27*z0^4 - 2*x^30 - 2*x^28*y*z0 - 2*x^28*z0^2 + 2*x^26*y*z0^3 + x^26*z0^4 - x^29 + 2*x^27*y*z0 - x^27*z0^2 + x^25*y*z0^3 - x^25*z0^4 + x^28 + x^26*z0^2 + x^24*y*z0^3 - x^27 - 2*x^25*y*z0 - 2*x^23*y*z0^3 + 2*x^23*z0^4 - x^26 + x^24*y*z0 - 2*x^22*y*z0^3 - x^22*z0^4 - 2*x^25 - x^23*z0^2 - x^21*y*z0^3 + 2*x^24 - x^22*y*z0 - x^22*z0^2 - x^20*y*z0^3 + 2*x^20*z0^4 - 2*x^23 + 2*x^21*y*z0 + x^21*z0^2 + 2*x^19*y*z0^3 - x^19*z0^4 + x^22 - 2*x^20*y*z0 + 2*x^20*z0^2 + 2*x^18*y*z0^3 - x^18*z0^4 - 2*x^21 - x^19*y*z0 - 2*x^19*z0^2 - x^17*y*z0^3 - 2*x^17*z0^4 + x^20 - 2*x^18*y*z0 - x^18*z0^2 - 2*x^16*y*z0^3 - x^16*z0^4 + 2*x^19 + x^17*y*z0 - 2*x^17*z0^2 + x^15*y*z0^3 - x^15*z0^4 - x^18 + 2*x^16*y*z0 + 2*x^16*z0^2 + 2*x^14*y*z0^3 - 2*x^17 - x^15*y*z0 + 2*x^15*z0^2 + 2*x^13*y*z0^3 + 2*x^13*z0^4 + x^16 + x^14*y*z0 - 2*x^12*y*z0^3 + x^15 - 2*x^13*y*z0 + 2*x^13*z0^2 + 2*x^11*y*z0^3 - x^11*z0^4 + x^14 - 2*x^12*y*z0 + 2*x^12*z0^2 - 2*x^10*y*z0^3 + 2*x^10*z0^4 + x^13 + x^11*z0^2 - 2*x^9*y*z0^3 + 2*x^9*z0^4 - 2*x^12 + 2*x^10*y*z0 + x^8*y*z0^3 + x^8*z0^4 - 2*x^9*z0^2 + 2*x^7*y*z0^3 - x^7*z0^4 + x^10 + 2*x^8*y*z0 + 2*x^6*y*z0^3 - 2*x^6*z0^4 + x^9 + x^7*y*z0 + 2*x^7*z0^2 - 2*x^5*y*z0^3 - x^5*z0^4 + 2*x^8 - 2*x^6*z0^2 + 2*x^4*y*z0^3 - x^4*z0^4 - x^7 + x^5*y*z0 - 2*x^5*z0^2 - 2*x^3*z0^4 - x^6 - x^4*y*z0 - 2*x^4*z0^2 + 2*x^2*y*z0^3 + 2*x^2*z0^4 - x^5 - x^3*y*z0 - x^2*z0^2 + 2*x^3 + x^2)/y) * dx,
+ ((2*x^60*z0^3 + 2*x^61*z0 - x^59*z0^3 - 2*x^57*y^2*z0^3 - 2*x^60*z0 - 2*x^58*y^2*z0 + 2*x^58*z0^3 + x^56*y^2*z0^3 + 2*x^59*z0 + 2*x^57*y^2*z0 + x^57*z0^3 - 2*x^55*y^2*z0^3 - 2*x^58*z0 - 2*x^56*y^2*z0 + x^56*z0^3 + 2*x^54*y^2*z0^3 + 2*x^57*z0 - 2*x^55*z0^3 - 2*x^56*z0 - x^54*z0^3 + 2*x^55*z0 - x^53*z0^3 - 2*x^54*z0 + 2*x^52*z0^3 + 2*x^53*z0 - 2*x^52*z0 + x^50*z0^3 + x^48*y^2*z0^3 + 2*x^51*z0 - 2*x^49*z0^3 - 2*x^50*z0 + 2*x^49*z0 - x^47*z0^3 - 2*x^48*z0 + 2*x^46*z0^3 + 2*x^47*z0 - 2*x^46*z0 + x^44*z0^3 + 2*x^45*z0 - 2*x^43*z0^3 - 2*x^44*z0 + 2*x^43*z0 - x^41*z0^3 - 2*x^42*z0 + 2*x^40*z0^3 + x^38*y*z0^4 - x^41*z0 + 2*x^39*y*z0^2 + x^40*y + 2*x^40*z0 + x^38*y*z0^2 - 2*x^36*y*z0^4 + x^39*y - x^39*z0 + 2*x^37*y*z0^2 - 2*x^37*z0^3 - 2*x^35*y*z0^4 - 2*x^38*y - x^38*z0 + 2*x^36*z0^3 + 2*x^37*y + x^37*z0 + x^33*y*z0^4 + 2*x^36*z0 + x^34*y*z0^2 + 2*x^35*y + 2*x^35*z0 + x^33*y*z0^2 + x^33*z0^3 - x^31*y*z0^4 - 2*x^34*y - x^34*z0 - 2*x^32*y*z0^2 + x^30*y*z0^4 - x^33*y - 2*x^31*y*z0^2 - x^31*z0^3 - x^32*y - 2*x^32*z0 - x^30*y*z0^2 + 2*x^28*y*z0^4 + 2*x^31*z0 + x^29*y*z0^2 - x^29*z0^3 - 2*x^27*y*z0^4 - x^30*y - 2*x^30*z0 + x^29*z0 + 2*x^27*y*z0^2 - 2*x^27*z0^3 + 2*x^25*y*z0^4 + 2*x^28*y + x^28*z0 + 2*x^26*y*z0^2 - 2*x^26*z0^3 + x^24*y*z0^4 - x^27*y + x^27*z0 - 2*x^25*y*z0^2 - 2*x^25*z0^3 + 2*x^23*y*z0^4 + 2*x^24*z0^3 - x^22*y*z0^4 + 2*x^25*y - 2*x^25*z0 + x^23*y*z0^2 - 2*x^23*z0^3 + x^24*y - x^24*z0 + 2*x^22*y*z0^2 + 2*x^20*y*z0^4 + 2*x^23*z0 - x^21*y*z0^2 + 2*x^21*z0^3 + x^19*y*z0^4 + x^22*y - x^22*z0 - 2*x^20*z0^3 - 2*x^18*y*z0^4 - x^21*z0 - 2*x^19*y*z0^2 - 2*x^19*z0^3 - 2*x^17*y*z0^4 - x^20*z0 + 2*x^18*y*z0^2 + x^18*z0^3 + 2*x^16*y*z0^4 + x^19*y - x^19*z0 + x^17*z0^3 + x^18*y - 2*x^18*z0 + 2*x^16*y*z0^2 + 2*x^14*y*z0^4 - 2*x^17*y - x^17*z0 - x^15*z0^3 + x^13*y*z0^4 - 2*x^16*y + 2*x^14*y*z0^2 + 2*x^14*z0^3 - x^12*y*z0^4 + 2*x^15*y + x^15*z0 + 2*x^13*y*z0^2 - x^13*z0^3 - 2*x^11*y*z0^4 - x^14*z0 - 2*x^12*y*z0^2 + 2*x^12*z0^3 + x^10*y*z0^4 + 2*x^13*y - 2*x^13*z0 + 2*x^11*y*z0^2 + x^11*z0^3 + 2*x^9*y*z0^4 - x^12*y - x^10*y*z0^2 - x^10*z0^3 - 2*x^11*z0 + x^9*y*z0^2 - 2*x^9*z0^3 + 2*x^10*y - x^10*z0 + 2*x^8*y*z0^2 - x^8*z0^3 - 2*x^7*y*z0^2 + 2*x^7*z0^3 - 2*x^5*y*z0^4 - x^8*z0 - 2*x^6*y*z0^2 - 2*x^6*z0^3 + x^4*y*z0^4 - 2*x^7*y - x^5*y*z0^2 - 2*x^5*z0^3 - 2*x^3*y*z0^4 - 2*x^6*y - x^6*z0 + 2*x^4*y*z0^2 - 2*x^4*z0^3 + 2*x^2*y*z0^4 + x^5*z0 + x^3*z0^3 + 2*x^4*y - 2*x^4*z0 - 2*x^2*y*z0^2 - 2*x^2*z0^3 - 2*x^3*y + x^3*z0 - x^2*y - 2*x^2*z0)/y) * dx,
+ ((-2*x^61*z0^4 + 2*x^60*z0^4 + 2*x^58*y^2*z0^4 + 2*x^61*z0^2 - 2*x^57*y^2*z0^4 - x^60*z0^2 - 2*x^58*y^2*z0^2 + 2*x^58*z0^4 + x^61 + x^57*y^2*z0^2 - 2*x^57*z0^4 - x^60 - x^58*y^2 - 2*x^58*z0^2 + x^57*y^2 + x^57*z0^2 - 2*x^55*z0^4 - x^58 + 2*x^54*z0^4 + x^57 + 2*x^55*z0^2 - x^54*z0^2 + 2*x^52*z0^4 + x^55 + 2*x^51*z0^4 - x^54 - 2*x^52*z0^2 + x^48*y^2*z0^4 + x^51*z0^2 - 2*x^49*z0^4 - x^52 - 2*x^48*z0^4 + x^51 + 2*x^49*z0^2 - x^48*z0^2 + 2*x^46*z0^4 + x^49 + 2*x^45*z0^4 - x^48 - 2*x^46*z0^2 + x^45*z0^2 - 2*x^43*z0^4 - x^46 - 2*x^42*z0^4 + x^45 + 2*x^43*z0^2 + x^41*z0^4 - x^42*z0^2 - x^40*y*z0^3 - x^40*z0^4 + x^43 + 2*x^41*z0^2 + 2*x^39*y*z0^3 + x^39*z0^4 - x^42 + x^40*y*z0 + 2*x^40*z0^2 - 2*x^38*y*z0^3 + 2*x^38*z0^4 + x^41 - 2*x^39*y*z0 - x^39*z0^2 + 2*x^37*y*z0^3 + 2*x^37*z0^4 - x^40 - 2*x^38*y*z0 - x^38*z0^2 + x^36*y*z0^3 + x^39 + x^37*y*z0 - x^37*z0^2 + 2*x^35*y*z0^3 + 2*x^38 + x^36*z0^2 - x^34*y*z0^3 + x^34*z0^4 + x^37 - 2*x^35*z0^2 + x^33*y*z0^3 + x^33*z0^4 + x^34*z0^2 + 2*x^32*z0^4 - 2*x^33*y*z0 - 2*x^33*z0^2 + 2*x^31*y*z0^3 + x^31*z0^4 + 2*x^34 + 2*x^32*y*z0 + x^32*z0^2 + 2*x^30*y*z0^3 + 2*x^30*z0^4 + 2*x^31*y*z0 - 2*x^31*z0^2 - 2*x^29*y*z0^3 - 2*x^29*z0^4 + 2*x^30*y*z0 - x^30*z0^2 + 2*x^28*y*z0^3 + x^28*z0^4 + 2*x^31 - 2*x^29*y*z0 + x^29*z0^2 + x^27*y*z0^3 + x^27*z0^4 - 2*x^30 - x^28*y*z0 + x^28*z0^2 - 2*x^26*y*z0^3 + 2*x^29 + 2*x^27*y*z0 - x^27*z0^2 + x^25*y*z0^3 + x^25*z0^4 - 2*x^24*y*z0^3 + 2*x^27 + x^25*y*z0 - 2*x^25*z0^2 + 2*x^24*y*z0 + 2*x^24*z0^2 + x^22*y*z0^3 + 2*x^22*z0^4 + x^25 + x^23*y*z0 + 2*x^23*z0^2 - x^21*y*z0^3 - x^21*z0^4 - 2*x^24 - 2*x^22*y*z0 + x^22*z0^2 + 2*x^20*y*z0^3 - 2*x^20*z0^4 - x^23 - x^21*z0^2 + x^19*y*z0^3 - 2*x^19*z0^4 - 2*x^22 + 2*x^20*y*z0 + x^20*z0^2 + x^18*y*z0^3 + 2*x^18*z0^4 - x^21 - x^19*z0^2 - x^17*y*z0^3 - x^20 + 2*x^18*y*z0 + 2*x^18*z0^2 + x^16*y*z0^3 + x^16*z0^4 + x^19 + 2*x^17*y*z0 - x^17*z0^2 - 2*x^15*y*z0^3 + 2*x^16*y*z0 - x^16*z0^2 - 2*x^14*y*z0^3 - 2*x^14*z0^4 + x^15*y*z0 - x^13*y*z0^3 - 2*x^13*z0^4 + 2*x^16 + x^14*y*z0 - 2*x^14*z0^2 + x^12*y*z0^3 - 2*x^12*z0^4 - x^15 - x^13*y*z0 + x^13*z0^2 + x^11*y*z0^3 - x^14 + x^12*y*z0 - 2*x^10*y*z0^3 - 2*x^13 - x^11*y*z0 + x^11*z0^2 + 2*x^9*y*z0^3 - 2*x^9*z0^4 - 2*x^12 - x^10*y*z0 + 2*x^10*z0^2 + x^8*y*z0^3 - x^11 - 2*x^9*y*z0 + x^7*y*z0^3 - x^7*z0^4 + x^10 - x^8*y*z0 - x^8*z0^2 - x^6*z0^4 - x^7*z0^2 + x^5*y*z0^3 + 2*x^8 - 2*x^6*y*z0 + 2*x^6*z0^2 + 2*x^4*y*z0^3 - 2*x^4*z0^4 + x^7 + 2*x^5*y*z0 + x^3*y*z0^3 - x^3*z0^4 + 2*x^6 + 2*x^4*z0^2 + x^2*y*z0^3 - x^2*z0^4 - x^5 + x^3*y*z0 - 2*x^3*z0^2 - 2*x^2*y*z0 - x^2*z0^2 + x^3 - x^2)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-2*x^61*z0^4 + x^60*z0^4 + 2*x^58*y^2*z0^4 + x^61*z0^2 - 2*x^59*z0^4 - x^57*y^2*z0^4 - x^60*z0^2 - x^58*y^2*z0^2 + 2*x^58*z0^4 + 2*x^56*y^2*z0^4 + x^61 + x^57*y^2*z0^2 - x^57*z0^4 + 2*x^60 - x^58*y^2 - x^58*z0^2 + 2*x^56*z0^4 - 2*x^57*y^2 + x^57*z0^2 - 2*x^55*z0^4 - x^58 + x^54*z0^4 - 2*x^57 + x^55*z0^2 - 2*x^53*z0^4 - x^54*z0^2 + 2*x^52*z0^4 + x^55 - x^51*z0^4 + 2*x^54 - x^52*z0^2 + 2*x^50*z0^4 + x^51*z0^2 - 2*x^49*z0^4 - 2*x^52 + x^48*z0^4 - 2*x^51 + x^49*y^2 + x^49*z0^2 - 2*x^47*z0^4 - x^48*z0^2 + 2*x^46*z0^4 + 2*x^49 - x^45*z0^4 + 2*x^48 - x^46*z0^2 + 2*x^44*z0^4 + x^45*z0^2 - 2*x^43*z0^4 - 2*x^46 + x^42*z0^4 - 2*x^45 + x^43*z0^2 - x^41*z0^4 - x^42*z0^2 - x^40*y*z0^3 + x^40*z0^4 + 2*x^43 + x^41*z0^2 + x^39*y*z0^3 + 2*x^42 - 2*x^40*y*z0 - 2*x^40*z0^2 + 2*x^38*y*z0^3 + 2*x^38*z0^4 + x^41 + x^37*y*z0^3 - 2*x^37*z0^4 - 2*x^40 + 2*x^38*y*z0 + 2*x^38*z0^2 - 2*x^36*y*z0^3 + 2*x^36*z0^4 + x^39 - 2*x^37*z0^2 - x^35*z0^4 - 2*x^38 - x^36*y*z0 - x^34*y*z0^3 - x^34*z0^4 + 2*x^37 + x^35*y*z0 - 2*x^35*z0^2 + x^33*y*z0^3 - x^33*z0^4 - x^36 + 2*x^34*y*z0 - x^34*z0^2 - x^32*y*z0^3 + 2*x^32*z0^4 + x^35 - x^33*z0^2 - 2*x^31*y*z0^3 + 2*x^31*z0^4 + 2*x^32*y*z0 + 2*x^32*z0^2 - 2*x^30*y*z0^3 + 2*x^30*z0^4 + x^33 + 2*x^31*y*z0 - 2*x^31*z0^2 - 2*x^29*y*z0^3 - 2*x^29*z0^4 + x^32 - x^30*y*z0 + 2*x^30*z0^2 + x^28*y*z0^3 - x^28*z0^4 - 2*x^29*z0^2 - x^27*y*z0^3 + 2*x^30 + x^28*y*z0 - x^28*z0^2 - x^26*z0^4 - 2*x^29 - 2*x^27*y*z0 - 2*x^27*z0^2 - 2*x^25*y*z0^3 - x^25*z0^4 - x^26*z0^2 - 2*x^24*y*z0^3 - x^24*z0^4 - x^27 + x^25*y*z0 - x^25*z0^2 - 2*x^23*y*z0^3 - 2*x^23*z0^4 - x^26 - x^24*y*z0 - 2*x^24*z0^2 + x^22*y*z0^3 - x^22*z0^4 - 2*x^25 + 2*x^23*y*z0 - x^23*z0^2 + x^21*y*z0^3 + 2*x^21*z0^4 - x^24 - 2*x^22*y*z0 + x^22*z0^2 - 2*x^20*y*z0^3 - 2*x^20*z0^4 - x^23 - x^21*y*z0 + x^21*z0^2 + x^19*y*z0^3 + 2*x^19*z0^4 + x^22 + x^20*y*z0 + x^18*y*z0^3 + 2*x^18*z0^4 - 2*x^19*z0^2 - 2*x^17*y*z0^3 - x^17*z0^4 + 2*x^20 - 2*x^18*z0^2 - 2*x^16*y*z0^3 - 2*x^19 + x^17*y*z0 - 2*x^17*z0^2 + x^15*y*z0^3 + x^15*z0^4 + 2*x^18 + x^16*y*z0 - x^16*z0^2 + 2*x^14*y*z0^3 + x^14*z0^4 - 2*x^17 - x^15*y*z0 + 2*x^15*z0^2 - 2*x^13*z0^4 - 2*x^16 - x^14*z0^2 + 2*x^12*y*z0^3 - x^12*z0^4 - 2*x^15 + 2*x^13*y*z0 + 2*x^13*z0^2 + 2*x^11*y*z0^3 + x^11*z0^4 - 2*x^14 - x^12*y*z0 + 2*x^12*z0^2 + x^10*z0^4 - x^13 + x^11*y*z0 - 2*x^11*z0^2 + x^9*y*z0^3 - 2*x^9*z0^4 + 2*x^10*z0^2 + 2*x^8*y*z0^3 + 2*x^9*y*z0 + 2*x^9*z0^2 + 2*x^7*y*z0^3 + 2*x^7*z0^4 - x^10 - 2*x^8*y*z0 - x^8*z0^2 + 2*x^6*y*z0^3 - 2*x^6*z0^4 - 2*x^9 - 2*x^7*z0^2 + x^5*z0^4 - x^6*z0^2 - 2*x^4*y*z0^3 + 2*x^4*z0^4 + 2*x^7 + 2*x^5*y*z0 - x^5*z0^2 - 2*x^3*y*z0^3 + x^6 - x^4*y*z0 + x^4*z0^2 + 2*x^2*y*z0^3 + x^2*z0^4 + x^3*y*z0 + 2*x^3*z0^2 - 2*x^2*y*z0 + x^2*z0^2 - x^3)/y) * dx,
+ ((2*x^61*z0^3 + x^60*z0^3 - 2*x^58*y^2*z0^3 - 2*x^61*z0 + x^59*z0^3 - x^57*y^2*z0^3 - x^60*z0 + 2*x^58*y^2*z0 - 2*x^58*z0^3 - x^56*y^2*z0^3 + x^57*y^2*z0 + x^57*z0^3 + 2*x^58*z0 - x^56*z0^3 - 2*x^54*y^2*z0^3 + x^57*z0 + 2*x^55*z0^3 - x^54*z0^3 - 2*x^55*z0 + x^53*z0^3 - x^54*z0 - 2*x^52*z0^3 + x^51*z0^3 + x^52*z0 - x^50*z0^3 + x^51*z0 + x^49*y^2*z0 + 2*x^49*z0^3 - x^48*z0^3 - x^49*z0 + x^47*z0^3 - x^48*z0 - 2*x^46*z0^3 + x^45*z0^3 + x^46*z0 - x^44*z0^3 + x^45*z0 + 2*x^43*z0^3 - x^42*z0^3 - x^43*z0 - 2*x^41*z0^3 + 2*x^39*y*z0^4 - x^42*z0 + x^40*y*z0^2 + x^40*z0^3 + x^38*y*z0^4 - 2*x^41*z0 - 2*x^39*y*z0^2 + x^39*z0^3 - x^40*y - x^40*z0 - x^38*y*z0^2 - x^38*z0^3 - 2*x^36*y*z0^4 - 2*x^39*z0 - 2*x^37*y*z0^2 + 2*x^37*z0^3 - 2*x^35*y*z0^4 + x^38*y + x^38*z0 - x^36*y*z0^2 + 2*x^36*z0^3 - 2*x^34*y*z0^4 - 2*x^37*y + 2*x^37*z0 - x^35*y*z0^2 - x^33*y*z0^4 + 2*x^36*y + 2*x^36*z0 - x^34*y*z0^2 - x^34*z0^3 + x^32*y*z0^4 + x^35*z0 - x^33*y*z0^2 - x^33*z0^3 + x^31*y*z0^4 - 2*x^34*y + x^32*y*z0^2 - x^32*z0^3 + 2*x^33*y - x^33*z0 - 2*x^31*y*z0^2 - x^31*z0^3 + 2*x^29*y*z0^4 + 2*x^32*y - x^32*z0 + 2*x^30*y*z0^2 + 2*x^30*z0^3 + 2*x^28*y*z0^4 - 2*x^31*y + x^31*z0 - 2*x^29*y*z0^2 + 2*x^29*z0^3 - 2*x^27*y*z0^4 - x^30*z0 - 2*x^28*y*z0^2 + 2*x^28*z0^3 - x^26*y*z0^4 - x^29*y + x^27*y*z0^2 + x^28*y - x^28*z0 + x^26*z0^3 + x^27*z0 + 2*x^25*y*z0^2 + 2*x^25*z0^3 + 2*x^23*y*z0^4 + 2*x^26*y - x^26*z0 - 2*x^24*y*z0^2 - x^24*z0^3 - x^22*y*z0^4 - 2*x^25*z0 - x^23*y*z0^2 - 2*x^23*z0^3 + x^21*y*z0^4 - x^24*y - x^24*z0 + x^22*y*z0^2 - x^22*z0^3 + x^23*y + 2*x^23*z0 + 2*x^21*y*z0^2 + 2*x^21*z0^3 + x^19*y*z0^4 + 2*x^22*y + 2*x^20*y*z0^2 - 2*x^20*z0^3 - 2*x^18*y*z0^4 + 2*x^21*y + x^21*z0 + x^19*y*z0^2 + 2*x^19*z0^3 - x^17*y*z0^4 - 2*x^20*y + 2*x^20*z0 - x^18*z0^3 - x^16*y*z0^4 - x^19*y - 2*x^19*z0 + 2*x^17*y*z0^2 + 2*x^17*z0^3 - x^15*y*z0^4 + x^18*y + 2*x^18*z0 - x^16*y*z0^2 + 2*x^16*z0^3 - x^14*y*z0^4 - 2*x^15*z0^3 + x^13*y*z0^4 + 2*x^16*y + x^12*y*z0^4 - x^15*y + x^15*z0 + 2*x^13*y*z0^2 + 2*x^13*z0^3 - 2*x^11*y*z0^4 - x^14*y + 2*x^14*z0 + x^12*y*z0^2 + x^12*z0^3 + x^10*y*z0^4 + 2*x^13*y + 2*x^13*z0 - 2*x^9*y*z0^4 + 2*x^12*z0 + 2*x^10*y*z0^2 - x^10*z0^3 + x^8*y*z0^4 + x^11*y - x^9*y*z0^2 - 2*x^7*y*z0^4 - x^10*y + 2*x^10*z0 + 2*x^8*z0^3 - x^6*y*z0^4 + 2*x^9*z0 + 2*x^7*y*z0^2 + 2*x^7*z0^3 + 2*x^5*y*z0^4 + x^8*y + 2*x^8*z0 + 2*x^6*y*z0^2 + 2*x^6*z0^3 - 2*x^4*y*z0^4 - x^7*y - x^7*z0 - 2*x^5*y*z0^2 + 2*x^5*z0^3 - x^3*y*z0^4 - 2*x^6*y - 2*x^4*y*z0^2 + 2*x^4*z0^3 + x^2*y*z0^4 - 2*x^5*y - x^5*z0 - x^3*y*z0^2 - 2*x^3*z0^3 - 2*x^4*y - x^4*z0 + 2*x^2*y*z0^2 + 2*x^2*z0^3 - x^3*y + 2*x^2*z0)/y) * dx,
+ ((-x^61*z0^4 + x^58*y^2*z0^4 - x^61*z0^2 - 2*x^59*z0^4 - 2*x^60*z0^2 + x^58*y^2*z0^2 + x^58*z0^4 + 2*x^56*y^2*z0^4 - 2*x^61 + 2*x^57*y^2*z0^2 + 2*x^58*y^2 + x^58*z0^2 + 2*x^56*z0^4 + 2*x^57*z0^2 - x^55*z0^4 + 2*x^58 - x^55*z0^2 - 2*x^53*z0^4 - 2*x^54*z0^2 + x^52*z0^4 - 2*x^55 + 2*x^50*z0^4 + 2*x^51*z0^2 + x^49*y^2*z0^2 - x^49*z0^4 + 2*x^52 - 2*x^47*z0^4 - 2*x^48*z0^2 + x^46*z0^4 - 2*x^49 + 2*x^44*z0^4 + 2*x^45*z0^2 - x^43*z0^4 + 2*x^46 + x^41*z0^4 - 2*x^42*z0^2 + 2*x^40*y*z0^3 + x^40*z0^4 - 2*x^43 - x^41*z0^2 - x^39*y*z0^3 - x^39*z0^4 + 2*x^40*y*z0 + x^40*z0^2 + x^38*z0^4 - 2*x^41 + x^39*y*z0 - 2*x^39*z0^2 - x^37*y*z0^3 + x^37*z0^4 + x^40 - 2*x^38*z0^2 + 2*x^36*y*z0^3 - 2*x^39 + x^37*y*z0 + x^37*z0^2 - 2*x^35*y*z0^3 + x^35*z0^4 + 2*x^38 - x^36*y*z0 + 2*x^36*z0^2 - 2*x^34*y*z0^3 + x^34*z0^4 - x^37 + 2*x^35*y*z0 - 2*x^33*y*z0^3 + x^33*z0^4 - x^36 + 2*x^34*y*z0 - 2*x^34*z0^2 + x^32*y*z0^3 - x^32*z0^4 - x^35 - 2*x^33*y*z0 - x^33*z0^2 + 2*x^31*y*z0^3 - x^31*z0^4 + 2*x^34 + 2*x^32*y*z0 - 2*x^32*z0^2 + x^30*z0^4 + x^33 - 2*x^31*y*z0 - 2*x^31*z0^2 - 2*x^29*y*z0^3 + x^29*z0^4 - 2*x^32 + x^30*z0^2 - x^28*y*z0^3 - x^28*z0^4 - 2*x^29*y*z0 + 2*x^29*z0^2 - 2*x^27*y*z0^3 + x^27*z0^4 + 2*x^30 + 2*x^28*y*z0 - x^26*y*z0^3 - x^26*z0^4 - 2*x^29 + 2*x^27*y*z0 - x^27*z0^2 - x^25*y*z0^3 + x^25*z0^4 - x^28 - x^26*z0^2 + x^24*y*z0^3 + 2*x^24*z0^4 + 2*x^27 + 2*x^25*y*z0 - 2*x^25*z0^2 - x^23*y*z0^3 + x^23*z0^4 - 2*x^26 - 2*x^24*y*z0 - 2*x^22*z0^4 - 2*x^23*y*z0 + x^21*y*z0^3 - 2*x^21*z0^4 - 2*x^24 + x^22*y*z0 - x^22*z0^2 - 2*x^20*z0^4 + 2*x^23 - 2*x^21*y*z0 - x^21*z0^2 - x^19*y*z0^3 + 2*x^19*z0^4 + x^22 + 2*x^18*z0^4 + 2*x^21 - x^19*y*z0 - 2*x^19*z0^2 + x^17*y*z0^3 - 2*x^17*z0^4 + 2*x^20 + 2*x^18*y*z0 + x^18*z0^2 + 2*x^16*y*z0^3 + 2*x^19 - 2*x^15*y*z0^3 + x^15*z0^4 - x^18 - x^16*y*z0 + x^14*z0^4 - x^17 - 2*x^15*y*z0 - x^15*z0^2 - x^13*y*z0^3 + x^13*z0^4 + x^16 + x^14*y*z0 - x^14*z0^2 - x^12*y*z0^3 + x^12*z0^4 + x^15 - x^13*y*z0 + x^13*z0^2 + x^11*y*z0^3 + 2*x^11*z0^4 - x^14 - 2*x^12*y*z0 - 2*x^12*z0^2 + x^10*y*z0^3 - 2*x^10*z0^4 + x^13 - 2*x^11*z0^2 - 2*x^12 - x^10*y*z0 + 2*x^10*z0^2 + x^8*z0^4 + 2*x^11 + x^9*z0^2 + x^7*y*z0^3 - x^7*z0^4 - 2*x^10 - 2*x^8*y*z0 - x^8*z0^2 + 2*x^6*y*z0^3 - x^7*y*z0 - x^5*z0^4 + 2*x^8 + x^6*y*z0 - 2*x^6*z0^2 + 2*x^4*z0^4 + 2*x^7 - 2*x^5*z0^2 - 2*x^3*y*z0^3 - x^3*z0^4 - x^6 + 2*x^4*z0^2 + 2*x^2*y*z0^3 + 2*x^2*z0^4 - 2*x^5 + 2*x^3*z0^2 - 2*x^2*y*z0 + 2*x^2*z0^2 - 2*x^3)/y) * dx,
+ ((-x^61*z0^3 + 2*x^60*z0^3 + x^58*y^2*z0^3 + x^61*z0 + 2*x^59*z0^3 - 2*x^57*y^2*z0^3 + 2*x^60*z0 - x^58*y^2*z0 - 2*x^58*z0^3 - 2*x^56*y^2*z0^3 - 2*x^59*z0 - 2*x^57*y^2*z0 + 2*x^57*z0^3 - 2*x^55*y^2*z0^3 - x^58*z0 + 2*x^56*y^2*z0 - 2*x^56*z0^3 + x^54*y^2*z0^3 - 2*x^57*z0 + 2*x^55*z0^3 + 2*x^56*z0 - 2*x^54*z0^3 + x^55*z0 + 2*x^53*z0^3 + 2*x^54*z0 + 2*x^52*z0^3 - 2*x^53*z0 + 2*x^51*z0^3 + x^49*y^2*z0^3 - x^52*z0 - 2*x^50*z0^3 - 2*x^51*z0 - 2*x^49*z0^3 + 2*x^50*z0 - 2*x^48*z0^3 + x^49*z0 + 2*x^47*z0^3 + 2*x^48*z0 + 2*x^46*z0^3 - 2*x^47*z0 + 2*x^45*z0^3 - x^46*z0 - 2*x^44*z0^3 - 2*x^45*z0 - 2*x^43*z0^3 + 2*x^44*z0 - 2*x^42*z0^3 + x^43*z0 + x^41*z0^3 - x^39*y*z0^4 + 2*x^42*z0 + 2*x^40*y*z0^2 - x^38*y*z0^4 - x^41*z0 + x^39*y*z0^2 + 2*x^37*y*z0^4 - 2*x^40*y - 2*x^40*z0 + x^38*y*z0^2 - 2*x^38*z0^3 + x^36*y*z0^4 - 2*x^39*z0 + 2*x^37*z0^3 + 2*x^35*y*z0^4 + 2*x^38*z0 - x^36*y*z0^2 + x^36*z0^3 + x^34*y*z0^4 + x^37*y + x^37*z0 + x^35*z0^3 - x^33*y*z0^4 - x^36*y + x^36*z0 - x^34*y*z0^2 - 2*x^32*y*z0^4 + x^35*z0 - x^33*y*z0^2 + x^33*z0^3 - 2*x^31*y*z0^4 + x^34*y - 2*x^34*z0 + x^32*y*z0^2 + 2*x^32*z0^3 - x^33*y + x^33*z0 - x^31*y*z0^2 + x^31*z0^3 - x^29*y*z0^4 - x^32*z0 - x^30*y*z0^2 + 2*x^30*z0^3 + x^28*y*z0^4 - 2*x^31*y - 2*x^31*z0 + 2*x^29*y*z0^2 - x^29*z0^3 - x^27*y*z0^4 - 2*x^28*z0^3 - 2*x^26*y*z0^4 - x^27*y*z0^2 - x^27*z0^3 + x^25*y*z0^4 + 2*x^28*y + 2*x^28*z0 + x^26*y*z0^2 + x^26*z0^3 - 2*x^27*y - x^27*z0 + 2*x^25*y*z0^2 - x^25*z0^3 + x^26*z0 - x^24*z0^3 + x^25*y - x^25*z0 - 2*x^23*y*z0^2 - 2*x^21*y*z0^4 - 2*x^24*y + 2*x^24*z0 - x^22*y*z0^2 - 2*x^22*z0^3 + 2*x^20*y*z0^4 - 2*x^23*z0 - x^21*y*z0^2 + 2*x^19*y*z0^4 - x^22*y - x^22*z0 - 2*x^20*y*z0^2 - x^20*z0^3 + 2*x^18*y*z0^4 + x^21*y - x^21*z0 + 2*x^19*y*z0^2 - x^19*z0^3 + 2*x^17*y*z0^4 - 2*x^20*y + 2*x^20*z0 + 2*x^18*y*z0^2 + 2*x^16*y*z0^4 + 2*x^19*y - 2*x^19*z0 + 2*x^17*y*z0^2 - x^17*z0^3 - x^15*y*z0^4 + 2*x^18*z0 + 2*x^16*y*z0^2 + 2*x^16*z0^3 + x^17*y + x^17*z0 - 2*x^15*y*z0^2 + 2*x^15*z0^3 + 2*x^13*y*z0^4 - x^16*y - 2*x^16*z0 - 2*x^14*y*z0^2 - 2*x^12*y*z0^4 + 2*x^15*y - x^15*z0 + 2*x^13*y*z0^2 - 2*x^13*z0^3 - 2*x^11*y*z0^4 + x^14*y + x^14*z0 - 2*x^12*y*z0^2 + x^12*z0^3 + 2*x^10*y*z0^4 + 2*x^13*y - 2*x^13*z0 - 2*x^11*y*z0^2 - 2*x^11*z0^3 + x^12*y + 2*x^12*z0 + 2*x^10*y*z0^2 + 2*x^10*z0^3 - x^8*y*z0^4 + x^11*y - 2*x^11*z0 + x^9*y*z0^2 + 2*x^9*z0^3 - x^7*y*z0^4 - x^10*z0 + 2*x^8*y*z0^2 - 2*x^8*z0^3 + x^6*y*z0^4 - 2*x^9*y - 2*x^9*z0 + x^7*y*z0^2 + x^7*z0^3 - 2*x^5*y*z0^4 + 2*x^8*z0 + x^6*y*z0^2 - x^6*z0^3 + 2*x^4*y*z0^4 - 2*x^7*y + x^7*z0 + 2*x^5*y*z0^2 + x^3*y*z0^4 + x^6*y + 2*x^6*z0 - 2*x^4*y*z0^2 - x^2*y*z0^4 + x^5*y - x^3*z0^3 - 2*x^4*z0 - 2*x^2*y*z0^2 - 2*x^3*y + x^2*y + x^2*z0)/y) * dx,
+ ((-2*x^61*z0^4 + 2*x^58*y^2*z0^4 + x^61*z0^2 + 2*x^59*z0^4 - 2*x^60*z0^2 - x^58*y^2*z0^2 + 2*x^58*z0^4 - 2*x^56*y^2*z0^4 + 2*x^57*y^2*z0^2 - x^58*z0^2 - 2*x^56*z0^4 + 2*x^57*z0^2 - 2*x^55*z0^4 + x^55*z0^2 + 2*x^53*z0^4 - 2*x^54*z0^2 + x^52*z0^4 + x^49*y^2*z0^4 - x^52*z0^2 - 2*x^50*z0^4 + 2*x^51*z0^2 - x^49*z0^4 + x^49*z0^2 + 2*x^47*z0^4 - 2*x^48*z0^2 + x^46*z0^4 - x^46*z0^2 - 2*x^44*z0^4 + 2*x^45*z0^2 - x^43*z0^4 + x^43*z0^2 - 2*x^42*z0^2 - x^40*y*z0^3 + x^41*z0^2 + x^39*y*z0^3 + x^39*z0^4 - 2*x^40*y*z0 - 2*x^40*z0^2 + x^38*z0^4 - 2*x^41 + x^39*y*z0 + x^39*z0^2 + x^37*z0^4 - 2*x^40 + 2*x^38*z0^2 - 2*x^36*y*z0^3 - 2*x^39 - x^37*y*z0 + 2*x^35*y*z0^3 - 2*x^35*z0^4 + 2*x^36*y*z0 - x^36*z0^2 - 2*x^34*y*z0^3 + 2*x^34*z0^4 - 2*x^37 + x^35*y*z0 + 2*x^35*z0^2 + 2*x^33*y*z0^3 - 2*x^34*y*z0 - x^32*y*z0^3 + x^32*z0^4 - 2*x^35 + 2*x^33*y*z0 - x^33*z0^2 - x^31*y*z0^3 + x^31*z0^4 + x^34 - x^32*y*z0 + 2*x^30*y*z0^3 - 2*x^30*z0^4 - 2*x^33 - 2*x^31*y*z0 + x^31*z0^2 + 2*x^29*y*z0^3 - 2*x^29*z0^4 - 2*x^32 - 2*x^30*y*z0 + x^28*y*z0^3 - 2*x^28*z0^4 + 2*x^31 + 2*x^29*y*z0 - x^29*z0^2 + x^27*y*z0^3 - 2*x^27*z0^4 + x^30 - x^28*z0^2 + x^26*y*z0^3 + 2*x^29 - 2*x^27*y*z0 + x^27*z0^2 + 2*x^25*y*z0^3 + x^25*z0^4 + x^28 - 2*x^26*y*z0 + x^24*y*z0^3 + 2*x^24*z0^4 - x^27 + 2*x^25*y*z0 + x^25*z0^2 + x^23*y*z0^3 + x^23*z0^4 + 2*x^26 + 2*x^24*y*z0 + x^22*z0^4 - x^25 + x^23*y*z0 + 2*x^23*z0^2 + 2*x^21*z0^4 + 2*x^22*z0^2 - 2*x^20*y*z0^3 - 2*x^20*z0^4 - x^23 - 2*x^21*y*z0 - 2*x^19*y*z0^3 - 2*x^20*y*z0 - 2*x^18*y*z0^3 + x^18*z0^4 + 2*x^21 + x^19*y*z0 - 2*x^19*z0^2 - 2*x^17*y*z0^3 + x^20 + x^18*y*z0 - 2*x^18*z0^2 - 2*x^16*y*z0^3 + x^16*z0^4 + x^19 - 2*x^17*y*z0 + 2*x^15*y*z0^3 + 2*x^15*z0^4 + 2*x^18 - x^16*z0^2 + 2*x^14*y*z0^3 + x^17 - 2*x^15*y*z0 + x^13*y*z0^3 + 2*x^13*z0^4 - 2*x^16 - 2*x^14*y*z0 - 2*x^14*z0^2 + 2*x^12*y*z0^3 + 2*x^12*z0^4 - x^13*y*z0 - x^11*y*z0^3 - 2*x^11*z0^4 - x^14 - 2*x^12*y*z0 + x^10*y*z0^3 - 2*x^10*z0^4 - 2*x^13 + x^11*y*z0 + x^11*z0^2 - x^12 + 2*x^10*y*z0 - 2*x^10*z0^2 + 2*x^8*y*z0^3 - x^8*z0^4 - x^9*y*z0 - 2*x^9*z0^2 + 2*x^7*y*z0^3 - x^8*y*z0 + x^8*z0^2 - 2*x^6*y*z0^3 + x^6*z0^4 - x^9 - 2*x^7*y*z0 - x^5*y*z0^3 + x^5*z0^4 + x^8 + 2*x^6*y*z0 - x^6*z0^2 + x^4*y*z0^3 - x^4*z0^4 - x^7 - 2*x^5*y*z0 - 2*x^5*z0^2 + x^3*z0^4 - 2*x^6 + 2*x^4*y*z0 + x^4*z0^2 - x^2*y*z0^3 - x^2*z0^4 - 2*x^5 + 2*x^3*y*z0 - x^3*z0^2 + 2*x^2*z0^2 - x^3 - x^2)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-2*x^61*z0^4 - 2*x^60*z0^4 + 2*x^58*y^2*z0^4 + x^61*z0^2 - x^59*z0^4 + 2*x^57*y^2*z0^4 - 2*x^60*z0^2 - x^58*y^2*z0^2 + 2*x^58*z0^4 + x^56*y^2*z0^4 + 2*x^57*y^2*z0^2 + 2*x^57*z0^4 + x^60 - x^58*z0^2 + x^56*z0^4 - x^57*y^2 + 2*x^57*z0^2 - 2*x^55*z0^4 - 2*x^54*z0^4 - x^57 + x^55*z0^2 - x^53*z0^4 - 2*x^54*z0^2 + 2*x^52*z0^4 + 2*x^51*z0^4 + x^54 - x^52*z0^2 + x^50*z0^4 - x^53 + 2*x^51*z0^2 - 2*x^49*z0^4 + x^50*y^2 - 2*x^48*z0^4 - x^51 + x^49*z0^2 - x^47*z0^4 + x^50 - 2*x^48*z0^2 + 2*x^46*z0^4 + 2*x^45*z0^4 + x^48 - x^46*z0^2 + x^44*z0^4 - x^47 + 2*x^45*z0^2 - 2*x^43*z0^4 - 2*x^42*z0^4 - x^45 + x^43*z0^2 + 2*x^41*z0^4 + x^44 - 2*x^42*z0^2 - x^40*y*z0^3 + 2*x^40*z0^4 + x^41*z0^2 + x^39*y*z0^3 - x^39*z0^4 + x^42 - 2*x^40*y*z0 - x^40*z0^2 - 2*x^38*y*z0^3 + x^38*z0^4 + 2*x^41 + x^39*z0^2 - 2*x^37*y*z0^3 - 2*x^37*z0^4 + x^40 + 2*x^38*z0^2 - 2*x^36*y*z0^3 + 2*x^36*z0^4 + x^37*y*z0 + 2*x^37*z0^2 - 2*x^35*z0^4 + 2*x^36*y*z0 - x^36*z0^2 - 2*x^34*y*z0^3 - 2*x^34*z0^4 + 2*x^37 + x^35*y*z0 - x^35*z0^2 - 2*x^33*y*z0^3 + x^33*z0^4 + x^34*y*z0 + x^34*z0^2 + x^32*y*z0^3 - x^35 - 2*x^33*y*z0 + x^33*z0^2 + 2*x^31*z0^4 - 2*x^34 - x^30*y*z0^3 + x^30*z0^4 + 2*x^33 + 2*x^31*y*z0 - x^31*z0^2 + 2*x^29*y*z0^3 + 2*x^29*z0^4 - 2*x^32 - 2*x^30*y*z0 + x^28*y*z0^3 - x^28*z0^4 - 2*x^31 - 2*x^29*y*z0 + x^27*y*z0^3 + x^30 + x^28*z0^2 - 2*x^26*y*z0^3 - 2*x^26*z0^4 - 2*x^29 + x^25*z0^4 + 2*x^26*y*z0 + x^24*y*z0^3 + x^24*z0^4 - 2*x^27 + x^25*y*z0 - x^25*z0^2 - x^23*y*z0^3 + 2*x^23*z0^4 - x^24*y*z0 + x^24*z0^2 - 2*x^22*y*z0^3 + 2*x^22*z0^4 + x^25 - x^23*z0^2 + 2*x^21*y*z0^3 + x^21*z0^4 - x^24 - 2*x^22*y*z0 + 2*x^22*z0^2 - x^20*y*z0^3 - 2*x^20*z0^4 + 2*x^23 + x^21*y*z0 - x^21*z0^2 + 2*x^19*y*z0^3 - 2*x^19*z0^4 - 2*x^22 - 2*x^20*y*z0 + 2*x^20*z0^2 - x^18*y*z0^3 + 2*x^19*y*z0 + 2*x^19*z0^2 + 2*x^17*y*z0^3 - x^17*z0^4 - 2*x^18*y*z0 + x^18*z0^2 + x^16*y*z0^3 - 2*x^16*z0^4 + x^19 - x^17*y*z0 + x^17*z0^2 - 2*x^15*y*z0^3 + x^15*z0^4 - x^18 - 2*x^16*y*z0 - 2*x^16*z0^2 + 2*x^14*y*z0^3 - 2*x^14*z0^4 - x^17 + 2*x^15*y*z0 + 2*x^15*z0^2 + 2*x^13*y*z0^3 - x^13*z0^4 + x^14*y*z0 + 2*x^14*z0^2 + x^12*y*z0^3 + 2*x^12*z0^4 + x^13*y*z0 - x^13*z0^2 + 2*x^11*y*z0^3 + 2*x^12*y*z0 - x^10*y*z0^3 + x^10*z0^4 + 2*x^13 + x^11*z0^2 - x^9*y*z0^3 + x^9*z0^4 - x^10*y*z0 - 2*x^10*z0^2 + 2*x^8*y*z0^3 - x^8*z0^4 - 2*x^11 + 2*x^9*y*z0 + x^9*z0^2 - 2*x^7*y*z0^3 - x^7*z0^4 - x^10 + x^8*y*z0 + x^8*z0^2 - 2*x^6*y*z0^3 - 2*x^6*z0^4 - 2*x^9 + x^7*y*z0 - 2*x^7*z0^2 + 2*x^5*y*z0^3 + 2*x^5*z0^4 + x^8 + 2*x^6*y*z0 + 2*x^6*z0^2 + x^4*y*z0^3 - x^7 - 2*x^3*y*z0^3 - 2*x^3*z0^4 + 2*x^6 + x^4*y*z0 - x^4*z0^2 - 2*x^2*y*z0^3 + x^2*z0^4 + 2*x^5 - 2*x^3*y*z0 - x^3*z0^2 + 2*x^2*y*z0 - x^2*z0^2 + x^3 - x^2)/y) * dx,
+ ((x^61*z0^3 + x^60*z0^3 - x^58*y^2*z0^3 - 2*x^59*z0^3 - x^57*y^2*z0^3 + 2*x^60*z0 - 2*x^58*z0^3 + 2*x^56*y^2*z0^3 + 2*x^59*z0 - 2*x^57*y^2*z0 + x^55*y^2*z0^3 - 2*x^56*y^2*z0 + 2*x^56*z0^3 - x^54*y^2*z0^3 - 2*x^57*z0 + 2*x^55*z0^3 - 2*x^56*z0 - 2*x^53*z0^3 + 2*x^54*z0 - 2*x^52*z0^3 + x^53*z0 + x^50*y^2*z0 + 2*x^50*z0^3 - 2*x^51*z0 + 2*x^49*z0^3 - x^50*z0 - 2*x^47*z0^3 + 2*x^48*z0 - 2*x^46*z0^3 + x^47*z0 + 2*x^44*z0^3 - 2*x^45*z0 + 2*x^43*z0^3 - x^44*z0 - x^41*z0^3 + x^39*y*z0^4 + 2*x^42*z0 - 2*x^40*y*z0^2 - x^40*z0^3 - 2*x^38*y*z0^4 + x^41*z0 + 2*x^39*z0^3 - x^37*y*z0^4 + 2*x^38*y*z0^2 + 2*x^38*z0^3 - x^36*y*z0^4 - x^39*y + 2*x^39*z0 + x^37*y*z0^2 - 2*x^35*y*z0^4 + 2*x^38*y + x^38*z0 - x^36*y*z0^2 + 2*x^36*z0^3 + 2*x^34*y*z0^4 + 2*x^35*z0^3 + 2*x^36*y - x^36*z0 - x^34*z0^3 + x^32*y*z0^4 - x^35*y + 2*x^35*z0 + 2*x^33*y*z0^2 - 2*x^31*y*z0^4 - x^34*z0 + x^32*z0^3 + 2*x^30*y*z0^4 + 2*x^33*y + x^33*z0 - x^29*y*z0^4 + x^32*y + 2*x^32*z0 - x^30*y*z0^2 - 2*x^30*z0^3 + 2*x^28*y*z0^4 + x^31*z0 + x^29*y*z0^2 + 2*x^29*z0^3 + x^27*y*z0^4 - 2*x^30*y - x^28*y*z0^2 - x^28*z0^3 + 2*x^26*y*z0^4 + 2*x^29*y - x^29*z0 - x^27*y*z0^2 - 2*x^27*z0^3 + 2*x^25*y*z0^4 - 2*x^28*y + x^28*z0 + 2*x^26*y*z0^2 - 2*x^26*z0^3 + x^24*y*z0^4 - 2*x^27*y + x^27*z0 + 2*x^25*z0^3 - x^26*y - 2*x^24*z0^3 - 2*x^22*y*z0^4 - x^25*y + x^25*z0 + x^23*y*z0^2 - 2*x^23*z0^3 + 2*x^24*y - x^22*z0^3 - 2*x^20*y*z0^4 - x^23*y - 2*x^23*z0 - x^21*y*z0^2 - x^21*z0^3 + 2*x^19*y*z0^4 - x^22*y - 2*x^20*y*z0^2 - 2*x^20*z0^3 + x^21*z0 + 2*x^19*z0^3 + x^17*y*z0^4 + 2*x^20*y - x^20*z0 + 2*x^18*y*z0^2 + x^18*z0^3 + 2*x^16*y*z0^4 + 2*x^19*y + 2*x^19*z0 - 2*x^17*y*z0^2 - 2*x^17*z0^3 + x^15*y*z0^4 - 2*x^18*y + 2*x^16*y*z0^2 + 2*x^16*z0^3 + 2*x^14*y*z0^4 - 2*x^17*y + 2*x^17*z0 + x^15*y*z0^2 + x^16*z0 - x^14*y*z0^2 + 2*x^14*z0^3 + x^15*z0 - 2*x^13*y*z0^2 + 2*x^13*z0^3 + 2*x^11*y*z0^4 + x^14*z0 - 2*x^12*y*z0^2 - x^12*z0^3 + 2*x^10*y*z0^4 - x^13*y - x^13*z0 + x^11*z0^3 + 2*x^9*y*z0^4 - 2*x^12*z0 - 2*x^10*y*z0^2 + 2*x^10*z0^3 + x^8*y*z0^4 + x^11*y + x^11*z0 - x^9*z0^3 + 2*x^7*y*z0^4 - 2*x^10*y - 2*x^10*z0 + x^8*y*z0^2 - x^8*z0^3 - x^6*y*z0^4 - 2*x^9*y + 2*x^9*z0 + x^7*y*z0^2 + 2*x^7*z0^3 + 2*x^5*y*z0^4 + x^8*y + x^8*z0 - x^6*y*z0^2 + 2*x^6*z0^3 - x^4*y*z0^4 + x^7*y + 2*x^5*y*z0^2 - x^3*y*z0^4 - x^6*y - 2*x^6*z0 - x^4*y*z0^2 + x^2*y*z0^4 + 2*x^5*y + x^5*z0 - x^3*y*z0^2 + x^3*z0^3 + 2*x^2*y*z0^2 - x^2*z0^3 - x^3*z0 + 2*x^2*y + 2*x^2*z0)/y) * dx,
+ ((2*x^60*z0^4 - x^61*z0^2 + x^59*z0^4 - 2*x^57*y^2*z0^4 + 2*x^60*z0^2 + x^58*y^2*z0^2 - x^56*y^2*z0^4 - x^61 - 2*x^57*y^2*z0^2 - 2*x^57*z0^4 + x^60 + x^58*y^2 + x^58*z0^2 - x^56*z0^4 - x^57*y^2 - 2*x^57*z0^2 + x^58 + 2*x^54*z0^4 - x^57 - x^55*z0^2 + x^53*z0^4 + 2*x^54*z0^2 - x^55 - x^53*z0^2 - 2*x^51*z0^4 + x^54 + x^52*z0^2 + x^50*y^2*z0^2 - x^50*z0^4 - 2*x^51*z0^2 + x^52 + x^50*z0^2 + 2*x^48*z0^4 - x^51 - x^49*z0^2 + x^47*z0^4 + 2*x^48*z0^2 - x^49 - x^47*z0^2 - 2*x^45*z0^4 + x^48 + x^46*z0^2 - x^44*z0^4 - 2*x^45*z0^2 + x^46 + x^44*z0^2 + 2*x^42*z0^4 - x^45 - x^43*z0^2 - 2*x^41*z0^4 + 2*x^42*z0^2 - x^40*z0^4 - x^43 - 2*x^41*z0^2 - x^39*y*z0^3 - 2*x^39*z0^4 + x^42 + 2*x^40*y*z0 + x^40*z0^2 - 2*x^38*y*z0^3 - x^38*z0^4 + 2*x^41 - x^39*z0^2 - 2*x^37*z0^4 + x^40 - x^38*y*z0 - x^38*z0^2 + 2*x^36*y*z0^3 - x^36*z0^4 - 2*x^39 - x^37*y*z0 - x^37*z0^2 + 2*x^35*y*z0^3 + x^38 - 2*x^36*y*z0 + x^36*z0^2 + 2*x^34*y*z0^3 - 2*x^35*y*z0 - x^35*z0^2 - 2*x^33*y*z0^3 + x^33*z0^4 - x^36 + x^34*y*z0 - x^34*z0^2 + x^32*z0^4 + 2*x^35 - x^33*y*z0 + x^33*z0^2 + x^31*y*z0^3 - x^31*z0^4 + 2*x^34 + x^32*y*z0 - x^32*z0^2 + x^30*y*z0^3 + x^30*z0^4 + 2*x^33 + 2*x^31*y*z0 + x^31*z0^2 + 2*x^29*y*z0^3 - x^32 - x^30*y*z0 - 2*x^30*z0^2 + 2*x^28*y*z0^3 + 2*x^28*z0^4 + 2*x^31 - x^29*y*z0 + x^29*z0^2 + x^27*y*z0^3 + x^27*z0^4 - x^30 + 2*x^28*z0^2 - x^26*y*z0^3 + x^26*z0^4 + x^29 + x^27*y*z0 + x^27*z0^2 - 2*x^25*y*z0^3 + 2*x^25*z0^4 - x^28 - x^26*y*z0 + x^24*y*z0^3 + 2*x^24*z0^4 + x^27 + 2*x^25*y*z0 - x^25*z0^2 - x^23*y*z0^3 + 2*x^26 + 2*x^24*y*z0 - 2*x^22*z0^4 - 2*x^25 + x^23*y*z0 - 2*x^21*y*z0^3 - x^21*z0^4 + x^24 - 2*x^20*y*z0^3 - x^20*z0^4 - 2*x^23 + x^21*y*z0 - 2*x^21*z0^2 + x^19*y*z0^3 + 2*x^19*z0^4 + x^22 - 2*x^20*y*z0 + 2*x^20*z0^2 + 2*x^18*z0^4 + 2*x^19*y*z0 + 2*x^19*z0^2 - 2*x^17*y*z0^3 - x^17*z0^4 + 2*x^20 - 2*x^18*y*z0 + 2*x^18*z0^2 - 2*x^16*y*z0^3 - x^16*z0^4 - x^19 + 2*x^17*y*z0 - 2*x^17*z0^2 + x^15*y*z0^3 + x^15*z0^4 + x^18 + x^16*y*z0 - x^16*z0^2 + x^14*y*z0^3 - 2*x^14*z0^4 - 2*x^17 - x^15*y*z0 - x^15*z0^2 - x^13*y*z0^3 - 2*x^13*z0^4 - 2*x^16 - 2*x^12*y*z0^3 - x^12*z0^4 - 2*x^15 + x^13*y*z0 + x^11*y*z0^3 - 2*x^11*z0^4 - 2*x^14 + x^12*z0^2 + x^10*y*z0^3 + x^10*z0^4 - x^13 + x^11*z0^2 + x^9*y*z0^3 - 2*x^10*y*z0 + x^10*z0^2 + x^8*y*z0^3 - 2*x^11 - 2*x^9*y*z0 + x^9*z0^2 + 2*x^7*y*z0^3 + 2*x^7*z0^4 - x^10 - x^8*y*z0 + x^8*z0^2 - x^6*y*z0^3 - 2*x^6*z0^4 - x^9 - 2*x^7*y*z0 - 2*x^7*z0^2 + x^5*y*z0^3 - 2*x^5*z0^4 - 2*x^8 + 2*x^6*z0^2 - x^4*y*z0^3 + 2*x^7 + 2*x^5*y*z0 - x^3*y*z0^3 - x^6 - x^4*y*z0 + 2*x^4*z0^2 + 2*x^2*y*z0^3 + 2*x^2*z0^4 + x^5 - 2*x^3*y*z0 + x^3*z0^2 - 2*x^2*y*z0 + x^2)/y) * dx,
+ ((x^60*z0^3 + x^61*z0 + 2*x^59*z0^3 - x^57*y^2*z0^3 + x^60*z0 - x^58*y^2*z0 + x^58*z0^3 - 2*x^56*y^2*z0^3 + x^59*z0 - x^57*y^2*z0 + x^57*z0^3 - x^55*y^2*z0^3 - x^58*z0 - x^56*y^2*z0 - 2*x^56*z0^3 - 2*x^54*y^2*z0^3 - x^57*z0 - x^55*z0^3 - x^56*z0 - x^54*z0^3 + x^55*z0 + x^53*z0^3 + x^54*z0 + x^52*z0^3 + x^50*y^2*z0^3 + x^53*z0 + x^51*z0^3 - x^52*z0 - x^50*z0^3 - x^51*z0 - x^49*z0^3 - x^50*z0 - x^48*z0^3 + x^49*z0 + x^47*z0^3 + x^48*z0 + x^46*z0^3 + x^47*z0 + x^45*z0^3 - x^46*z0 - x^44*z0^3 - x^45*z0 - x^43*z0^3 - x^44*z0 - x^42*z0^3 + x^43*z0 + x^41*z0^3 + x^42*z0 + 2*x^40*z0^3 - x^38*y*z0^4 + 2*x^41*z0 + x^39*y*z0^2 + x^39*z0^3 - 2*x^40*y + 2*x^38*y*z0^2 + x^38*z0^3 - x^36*y*z0^4 - 2*x^39*y - 2*x^37*z0^3 + x^35*y*z0^4 - 2*x^38*y + 2*x^38*z0 + 2*x^34*y*z0^4 + x^37*y - x^37*z0 + 2*x^35*y*z0^2 + 2*x^35*z0^3 - x^33*y*z0^4 + x^36*y - 2*x^36*z0 + x^34*z0^3 + x^32*y*z0^4 + 2*x^33*y*z0^2 - 2*x^31*y*z0^4 - 2*x^34*y + 2*x^34*z0 + x^32*y*z0^2 - 2*x^32*z0^3 + 2*x^30*y*z0^4 + x^33*y - x^33*z0 + x^31*z0^3 + 2*x^29*y*z0^4 - 2*x^32*y + 2*x^32*z0 - 2*x^30*y*z0^2 - 2*x^28*y*z0^4 - 2*x^31*y - 2*x^29*y*z0^2 - x^29*z0^3 - 2*x^27*y*z0^4 - 2*x^30*y + 2*x^28*z0^3 + x^26*y*z0^4 - 2*x^29*y + x^29*z0 - 2*x^27*y*z0^2 + x^27*z0^3 - 2*x^25*y*z0^4 + x^28*z0 + x^26*y*z0^2 - x^24*y*z0^4 + 2*x^27*y - 2*x^27*z0 - x^25*y*z0^2 + x^26*y - x^24*y*z0^2 - 2*x^24*z0^3 + x^25*y + 2*x^25*z0 - x^23*y*z0^2 - 2*x^24*y + 2*x^24*z0 - 2*x^22*y*z0^2 + x^22*z0^3 - x^20*y*z0^4 + 2*x^23*y + 2*x^21*y*z0^2 + 2*x^21*z0^3 - 2*x^19*y*z0^4 - x^22*y - 2*x^22*z0 - 2*x^20*y*z0^2 - 2*x^20*z0^3 - 2*x^18*y*z0^4 - 2*x^21*y + x^17*y*z0^4 - x^20*y - 2*x^20*z0 - x^18*y*z0^2 + 2*x^18*z0^3 + 2*x^19*y - x^19*z0 + x^17*y*z0^2 + 2*x^17*z0^3 + x^15*y*z0^4 - x^18*y + x^18*z0 + 2*x^16*z0^3 - 2*x^14*y*z0^4 + 2*x^15*y*z0^2 + x^13*y*z0^4 - x^16*y - 2*x^16*z0 - x^14*y*z0^2 + 2*x^14*z0^3 - x^12*y*z0^4 - x^15*y + 2*x^13*y*z0^2 + 2*x^13*z0^3 - x^14*y - x^14*z0 - 2*x^12*y*z0^2 + 2*x^13*y - 2*x^13*z0 - 2*x^11*y*z0^2 + 2*x^11*z0^3 + 2*x^9*y*z0^4 - 2*x^12*y - 2*x^12*z0 - x^10*y*z0^2 + 2*x^10*z0^3 - 2*x^8*y*z0^4 + x^11*y + x^11*z0 - 2*x^9*z0^3 + 2*x^7*y*z0^4 + x^10*y + 2*x^10*z0 + 2*x^8*y*z0^2 + x^8*z0^3 - x^9*y + 2*x^9*z0 - 2*x^7*y*z0^2 + 2*x^7*z0^3 + x^5*y*z0^4 - 2*x^8*y - 2*x^8*z0 + x^6*y*z0^2 - x^6*z0^3 - x^4*y*z0^4 - 2*x^7*y + 2*x^7*z0 - x^5*z0^3 - 2*x^3*y*z0^4 - 2*x^6*y - 2*x^6*z0 - 2*x^4*y*z0^2 + 2*x^4*z0^3 - 2*x^2*y*z0^4 - x^5*z0 - x^3*y*z0^2 + 2*x^3*z0^3 + x^4*y + x^4*z0 + 2*x^2*y*z0^2 - 2*x^2*z0^3 + x^3*y + 2*x^3*z0 + x^2*y + x^2*z0)/y) * dx,
+ ((-x^61*z0^4 - 2*x^60*z0^4 + x^58*y^2*z0^4 - x^59*z0^4 + 2*x^57*y^2*z0^4 + x^60*z0^2 + x^58*z0^4 + x^56*y^2*z0^4 + x^61 - x^57*y^2*z0^2 + 2*x^57*z0^4 - x^58*y^2 + x^56*z0^4 - x^57*z0^2 - x^55*z0^4 - x^58 - 2*x^54*z0^4 - 2*x^53*z0^4 + x^54*z0^2 + x^52*z0^4 + x^50*y^2*z0^4 + x^55 + 2*x^51*z0^4 + 2*x^50*z0^4 - x^51*z0^2 - x^49*z0^4 - x^52 - 2*x^48*z0^4 - 2*x^47*z0^4 + x^48*z0^2 + x^46*z0^4 + x^49 + 2*x^45*z0^4 + 2*x^44*z0^4 - x^45*z0^2 - x^43*z0^4 - x^46 - 2*x^42*z0^4 + x^42*z0^2 + 2*x^40*y*z0^3 + 2*x^40*z0^4 + x^43 + x^40*z0^2 - 2*x^38*y*z0^3 + 2*x^41 - 2*x^39*y*z0 - x^39*z0^2 + 2*x^37*y*z0^3 - 2*x^37*z0^4 + x^40 + 2*x^36*z0^4 + x^39 - x^37*y*z0 - x^37*z0^2 + 2*x^35*y*z0^3 - x^35*z0^4 + 2*x^38 + x^36*y*z0 + x^36*z0^2 + x^34*y*z0^3 + 2*x^34*z0^4 - x^37 - 2*x^35*y*z0 + 2*x^35*z0^2 - 2*x^33*z0^4 - 2*x^36 + 2*x^34*z0^2 + x^35 - 2*x^33*y*z0 + x^33*z0^2 - 2*x^31*z0^4 - 2*x^32*y*z0 + 2*x^32*z0^2 - x^30*y*z0^3 - 2*x^30*z0^4 + x^33 - x^31*y*z0 + x^29*y*z0^3 + 2*x^29*z0^4 - x^32 + 2*x^30*y*z0 + 2*x^30*z0^2 + x^28*y*z0^3 - x^29*y*z0 - x^27*y*z0^3 - 2*x^27*z0^4 + 2*x^28*y*z0 - 2*x^28*z0^2 + 2*x^26*y*z0^3 - 2*x^26*z0^4 - 2*x^29 - x^27*y*z0 - x^27*z0^2 - 2*x^25*y*z0^3 - x^28 + 2*x^26*y*z0 + x^26*z0^2 + 2*x^24*y*z0^3 - 2*x^27 + 2*x^23*y*z0^3 + x^23*z0^4 - 2*x^26 + 2*x^24*y*z0 - x^24*z0^2 - 2*x^22*y*z0^3 + 2*x^22*z0^4 - 2*x^25 + x^23*z0^2 + x^21*y*z0^3 + x^21*z0^4 + 2*x^22*y*z0 - 2*x^20*y*z0^3 + x^20*z0^4 - x^23 + x^21*y*z0 - x^21*z0^2 + x^19*y*z0^3 - 2*x^19*z0^4 + 2*x^22 - x^20*y*z0 + 2*x^20*z0^2 - x^18*y*z0^3 - 2*x^18*z0^4 + 2*x^19*y*z0 - 2*x^19*z0^2 + x^17*y*z0^3 + 2*x^17*z0^4 - 2*x^20 - 2*x^18*y*z0 + 2*x^16*y*z0^3 + 2*x^16*z0^4 + x^19 + x^15*y*z0^3 - 2*x^18 - 2*x^14*y*z0^3 - 2*x^14*z0^4 - 2*x^17 - 2*x^15*y*z0 + 2*x^15*z0^2 - 2*x^13*z0^4 - x^14*y*z0 - x^13*y*z0 - 2*x^13*z0^2 - 2*x^11*z0^4 + x^12*y*z0 - 2*x^12*z0^2 + x^13 + x^11*y*z0 + x^9*y*z0^3 - x^12 - x^10*y*z0 + 2*x^10*z0^2 - x^8*y*z0^3 - x^8*z0^4 + x^9*y*z0 - 2*x^9*z0^2 + x^7*y*z0^3 - x^10 - 2*x^8*y*z0 - x^8*z0^2 - x^6*y*z0^3 - x^9 - 2*x^7*y*z0 + 2*x^7*z0^2 + x^5*y*z0^3 + x^5*z0^4 - 2*x^8 - 2*x^6*y*z0 - x^6*z0^2 - x^4*z0^4 + 2*x^7 + x^5*y*z0 - x^5*z0^2 - x^3*y*z0^3 + 2*x^3*z0^4 + x^6 + x^4*z0^2 + x^2*y*z0^3 - x^2*z0^4 - x^5 - x^3*y*z0 + x^3*z0^2 - x^2*z0^2 - 2*x^3 + 2*x^2)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^61*z0^4 - 2*x^60*z0^4 + x^58*y^2*z0^4 + 2*x^61*z0^2 - x^59*z0^4 + 2*x^57*y^2*z0^4 + 2*x^60*z0^2 - 2*x^58*y^2*z0^2 + x^58*z0^4 + x^56*y^2*z0^4 + 2*x^61 - 2*x^57*y^2*z0^2 + 2*x^57*z0^4 - x^60 - 2*x^58*y^2 - 2*x^58*z0^2 + x^56*z0^4 + x^57*y^2 - 2*x^57*z0^2 - x^55*z0^4 - 2*x^58 - 2*x^54*z0^4 + x^57 + 2*x^55*z0^2 - x^53*z0^4 + 2*x^54*z0^2 + x^52*z0^4 + 2*x^55 + 2*x^51*z0^4 - 2*x^54 - 2*x^52*z0^2 + x^50*z0^4 + x^51*y^2 - 2*x^51*z0^2 - x^49*z0^4 - 2*x^52 - 2*x^48*z0^4 + 2*x^51 + 2*x^49*z0^2 - x^47*z0^4 + 2*x^48*z0^2 + x^46*z0^4 + 2*x^49 + 2*x^45*z0^4 - 2*x^48 - 2*x^46*z0^2 + x^44*z0^4 - 2*x^45*z0^2 - x^43*z0^4 - 2*x^46 - 2*x^42*z0^4 + 2*x^45 + 2*x^43*z0^2 - x^41*z0^4 + 2*x^42*z0^2 + 2*x^40*y*z0^3 + 2*x^40*z0^4 + 2*x^43 + 2*x^41*z0^2 + 2*x^39*y*z0^3 + 2*x^39*z0^4 - 2*x^42 + x^40*y*z0 + x^38*y*z0^3 - x^39*y*z0 + x^39*z0^2 + x^37*z0^4 + 2*x^40 - x^38*y*z0 - x^38*z0^2 + x^36*y*z0^3 + x^36*z0^4 + 2*x^37*y*z0 - 2*x^35*y*z0^3 + 2*x^35*z0^4 - 2*x^38 - x^36*y*z0 - x^36*z0^2 + 2*x^34*y*z0^3 + 2*x^34*z0^4 + 2*x^37 + x^35*y*z0 - x^35*z0^2 + 2*x^33*y*z0^3 + x^33*z0^4 - 2*x^36 - x^34*y*z0 - x^34*z0^2 - x^32*y*z0^3 - 2*x^35 + x^31*y*z0^3 - x^32*y*z0 - 2*x^32*z0^2 - 2*x^30*y*z0^3 + 2*x^33 + 2*x^31*y*z0 + x^31*z0^2 - x^29*y*z0^3 - x^32 + x^30*y*z0 + x^30*z0^2 + 2*x^28*y*z0^3 + x^31 - x^27*y*z0^3 - 2*x^27*z0^4 - x^30 - x^28*z0^2 + 2*x^26*y*z0^3 + 2*x^29 + 2*x^27*y*z0 - 2*x^27*z0^2 + 2*x^25*y*z0^3 + 2*x^25*z0^4 - 2*x^28 + x^26*y*z0 - x^24*y*z0^3 + x^24*z0^4 + x^27 + x^25*z0^2 + 2*x^23*y*z0^3 - 2*x^23*z0^4 - 2*x^24*y*z0 + x^24*z0^2 - x^22*y*z0^3 - 2*x^22*z0^4 + 2*x^23*y*z0 + 2*x^23*z0^2 - x^21*z0^4 - 2*x^24 + 2*x^22*y*z0 + x^22*z0^2 + x^20*y*z0^3 + x^20*z0^4 + x^23 + 2*x^21*z0^2 + 2*x^19*z0^4 + 2*x^22 - 2*x^20*z0^2 + 2*x^18*y*z0^3 - 2*x^18*z0^4 - 2*x^21 + 2*x^19*y*z0 - 2*x^19*z0^2 - x^17*y*z0^3 + 2*x^17*z0^4 + 2*x^20 + 2*x^18*y*z0 + x^18*z0^2 - 2*x^16*y*z0^3 + 2*x^16*z0^4 - 2*x^19 - x^17*y*z0 + 2*x^17*z0^2 + 2*x^15*y*z0^3 - x^15*z0^4 - x^16*y*z0 - 2*x^16*z0^2 + x^14*y*z0^3 - x^14*z0^4 + 2*x^17 - 2*x^15*z0^2 + x^13*y*z0^3 - x^13*z0^4 - 2*x^16 - 2*x^14*z0^2 + x^12*y*z0^3 - x^12*z0^4 - 2*x^15 - 2*x^13*y*z0 + x^13*z0^2 + x^11*y*z0^3 - x^11*z0^4 + 2*x^12*y*z0 + x^12*z0^2 + 2*x^10*y*z0^3 + 2*x^10*z0^4 + x^13 - x^11*z0^2 + x^9*y*z0^3 + 2*x^9*z0^4 + x^12 - 2*x^10*y*z0 - 2*x^10*z0^2 + x^8*y*z0^3 + x^8*z0^4 - x^11 + x^9*y*z0 + x^9*z0^2 + x^7*y*z0^3 + x^7*z0^4 - x^10 - 2*x^8*y*z0 - 2*x^8*z0^2 - 2*x^6*y*z0^3 - 2*x^6*z0^4 - 2*x^9 + x^7*z0^2 - x^5*z0^4 - x^8 + x^6*y*z0 + x^6*z0^2 - x^4*y*z0^3 + x^4*z0^4 + x^5*z0^2 + x^3*y*z0^3 + 2*x^3*z0^4 + 2*x^6 + 2*x^4*y*z0 + 2*x^4*z0^2 - x^2*y*z0^3 - 2*x^2*z0^4 + 2*x^5 - x^3*y*z0 + x^3*z0^2 - 2*x^2*y*z0 + x^2*z0^2 + 2*x^3 - x^2)/y) * dx,
+ ((-2*x^61*z0^3 + 2*x^58*y^2*z0^3 + 2*x^61*z0 + x^59*z0^3 - 2*x^60*z0 - 2*x^58*y^2*z0 - 2*x^58*z0^3 - x^56*y^2*z0^3 + x^59*z0 + 2*x^57*y^2*z0 - x^55*y^2*z0^3 - 2*x^58*z0 - x^56*y^2*z0 - x^56*z0^3 + 2*x^57*z0 + 2*x^55*z0^3 - x^56*z0 + 2*x^55*z0 + x^53*z0^3 + 2*x^54*z0 - 2*x^52*z0^3 + x^53*z0 + x^51*y^2*z0 - 2*x^52*z0 - x^50*z0^3 - 2*x^51*z0 + 2*x^49*z0^3 - x^50*z0 + 2*x^49*z0 + x^47*z0^3 + 2*x^48*z0 - 2*x^46*z0^3 + x^47*z0 - 2*x^46*z0 - x^44*z0^3 - 2*x^45*z0 + 2*x^43*z0^3 - x^44*z0 + 2*x^43*z0 - x^41*z0^3 - 2*x^39*y*z0^4 + 2*x^42*z0 - x^40*y*z0^2 - 2*x^40*z0^3 + 2*x^38*y*z0^4 - 2*x^41*z0 + 2*x^39*y*z0^2 + x^40*y + x^38*z0^3 + x^36*y*z0^4 - 2*x^39*y - 2*x^39*z0 + x^37*y*z0^2 - 2*x^35*y*z0^4 - x^38*z0 - 2*x^36*y*z0^2 - 2*x^36*z0^3 - x^34*y*z0^4 + 2*x^37*y + 2*x^37*z0 + 2*x^35*y*z0^2 - 2*x^33*y*z0^4 - x^36*y + 2*x^34*y*z0^2 + x^34*z0^3 - x^32*y*z0^4 + x^35*y - 2*x^33*y*z0^2 + x^31*y*z0^4 - x^34*z0 - 2*x^32*y*z0^2 + 2*x^32*z0^3 - 2*x^30*y*z0^4 - 2*x^31*y*z0^2 + 2*x^31*z0^3 - x^29*y*z0^4 + x^32*z0 - 2*x^30*y*z0^2 + 2*x^30*z0^3 - x^28*y*z0^4 - x^31*y - x^31*z0 - x^29*y*z0^2 + 2*x^27*y*z0^4 + x^30*y - 2*x^30*z0 + x^28*y*z0^2 - 2*x^28*z0^3 - x^29*y - 2*x^29*z0 + 2*x^27*y*z0^2 - 2*x^25*y*z0^4 + 2*x^28*y + x^28*z0 - x^26*y*z0^2 - 2*x^26*z0^3 + 2*x^24*y*z0^4 + x^27*y - 2*x^27*z0 - x^25*y*z0^2 - x^26*y - x^26*z0 - 2*x^24*y*z0^2 + 2*x^24*z0^3 - 2*x^22*y*z0^4 + x^25*y + 2*x^25*z0 - 2*x^23*y*z0^2 + x^23*z0^3 + x^21*y*z0^4 - x^24*y + 2*x^24*z0 + x^22*y*z0^2 - 2*x^22*z0^3 - x^20*y*z0^4 - 2*x^23*z0 + 2*x^21*z0^3 - 2*x^19*y*z0^4 + 2*x^22*y + 2*x^22*z0 - x^20*y*z0^2 + x^20*z0^3 + 2*x^18*y*z0^4 + x^21*y - x^21*z0 + 2*x^19*y*z0^2 + x^19*z0^3 - x^17*y*z0^4 - x^20*z0 + 2*x^18*z0^3 - x^16*y*z0^4 - 2*x^19*y + x^19*z0 - x^17*y*z0^2 + x^17*z0^3 - x^15*y*z0^4 + 2*x^16*y*z0^2 - x^16*z0^3 + x^14*y*z0^4 + 2*x^17*y + 2*x^17*z0 + x^15*y*z0^2 - 2*x^15*z0^3 - x^13*y*z0^4 + 2*x^16*y + 2*x^14*y*z0^2 - x^14*z0^3 - 2*x^15*y + x^15*z0 + 2*x^13*y*z0^2 - x^13*z0^3 - x^11*y*z0^4 + x^14*y + 2*x^12*y*z0^2 + x^12*z0^3 + x^10*y*z0^4 - x^13*y + 2*x^13*z0 + x^11*y*z0^2 + x^11*z0^3 - 2*x^9*y*z0^4 - 2*x^12*y - 2*x^10*y*z0^2 - x^8*y*z0^4 - x^11*y - 2*x^9*y*z0^2 - x^9*z0^3 + 2*x^7*y*z0^4 + x^10*y - x^6*y*z0^4 - x^9*y + x^9*z0 + x^7*y*z0^2 - x^7*z0^3 + 2*x^5*y*z0^4 - x^8*y - 2*x^8*z0 - 2*x^6*y*z0^2 + 2*x^7*y + 2*x^7*z0 - x^5*y*z0^2 - 2*x^3*y*z0^4 + 2*x^6*z0 - x^4*y*z0^2 - 2*x^4*z0^3 + 2*x^5*y + 2*x^5*z0 - x^3*y*z0^2 - 2*x^3*z0^3 - 2*x^4*y + x^4*z0 - 2*x^2*y*z0^2 + x^3*y + 2*x^3*z0 - 2*x^2*y + 2*x^2*z0)/y) * dx,
+ ((-x^61*z0^4 + 2*x^60*z0^4 + x^58*y^2*z0^4 - 2*x^61*z0^2 + x^59*z0^4 - 2*x^57*y^2*z0^4 + x^60*z0^2 + 2*x^58*y^2*z0^2 + x^58*z0^4 - x^56*y^2*z0^4 + x^61 - x^57*y^2*z0^2 - 2*x^57*z0^4 - 2*x^60 - x^58*y^2 + 2*x^58*z0^2 - x^56*z0^4 + 2*x^57*y^2 - x^57*z0^2 - x^55*z0^4 - x^58 + 2*x^54*z0^4 + 2*x^57 - 2*x^55*z0^2 + x^53*z0^4 + x^52*z0^4 + x^55 + x^51*y^2*z0^2 - 2*x^51*z0^4 - 2*x^54 + 2*x^52*z0^2 - x^50*z0^4 - x^49*z0^4 - x^52 + 2*x^48*z0^4 + 2*x^51 - 2*x^49*z0^2 + x^47*z0^4 + x^46*z0^4 + x^49 - 2*x^45*z0^4 - 2*x^48 + 2*x^46*z0^2 - x^44*z0^4 - x^43*z0^4 - x^46 + 2*x^42*z0^4 + 2*x^45 - 2*x^43*z0^2 - 2*x^41*z0^4 + 2*x^40*y*z0^3 - 2*x^40*z0^4 + x^43 - 2*x^41*z0^2 - 2*x^39*y*z0^3 + x^39*z0^4 - 2*x^42 - x^40*y*z0 + 2*x^38*y*z0^3 - x^38*z0^4 + 2*x^41 + 2*x^39*z0^2 - x^37*y*z0^3 + x^37*z0^4 + 2*x^40 + x^38*z0^2 - x^36*y*z0^3 - x^36*z0^4 - x^39 + x^37*z0^2 + 2*x^35*y*z0^3 + 2*x^35*z0^4 + x^38 - 2*x^36*y*z0 - 2*x^36*z0^2 + x^34*y*z0^3 - x^34*z0^4 + 2*x^37 - 2*x^35*y*z0 + x^35*z0^2 - x^33*y*z0^3 - x^33*z0^4 - 2*x^34*y*z0 - x^32*y*z0^3 - x^32*z0^4 + 2*x^35 + x^33*z0^2 - x^31*y*z0^3 - 2*x^31*z0^4 - x^34 - x^32*y*z0 + 2*x^32*z0^2 + x^30*y*z0^3 + 2*x^30*z0^4 + x^33 - 2*x^31*y*z0 + 2*x^31*z0^2 + x^29*y*z0^3 + x^29*z0^4 - 2*x^32 - 2*x^30*y*z0 - 2*x^30*z0^2 + 2*x^28*y*z0^3 + x^28*z0^4 + x^31 + x^29*y*z0 + 2*x^29*z0^2 + x^27*z0^4 - 2*x^30 - 2*x^28*y*z0 + 2*x^28*z0^2 - 2*x^26*y*z0^3 + x^29 - x^27*z0^2 - 2*x^25*y*z0^3 + x^25*z0^4 - x^28 - x^26*y*z0 - x^26*z0^2 + 2*x^24*y*z0^3 - 2*x^24*z0^4 - x^27 + x^25*y*z0 + x^25*z0^2 - x^23*y*z0^3 + x^23*z0^4 + x^26 + x^24*y*z0 - x^24*z0^2 + x^22*z0^4 + x^21*y*z0^3 - x^21*z0^4 + x^22*y*z0 - 2*x^22*z0^2 - x^20*y*z0^3 - x^21*y*z0 + 2*x^21*z0^2 + 2*x^19*z0^4 + 2*x^22 + x^20*y*z0 + x^20*z0^2 - x^18*y*z0^3 - 2*x^18*z0^4 + x^19*y*z0 - x^19*z0^2 - 2*x^17*y*z0^3 - x^17*z0^4 + x^20 + x^16*y*z0^3 + x^16*z0^4 + x^19 + x^17*y*z0 + x^17*z0^2 - x^15*y*z0^3 - 2*x^16*z0^2 + 2*x^14*y*z0^3 + 2*x^15*z0^2 + x^13*y*z0^3 + x^13*z0^4 - x^16 + x^14*y*z0 + 2*x^14*z0^2 + 2*x^12*y*z0^3 + x^15 - 2*x^13*y*z0 + 2*x^13*z0^2 + x^11*y*z0^3 + x^11*z0^4 + 2*x^14 + 2*x^12*y*z0 - x^12*z0^2 + 2*x^10*z0^4 - x^13 - x^11*z0^2 + 2*x^9*y*z0^3 + x^12 + x^10*y*z0 + x^10*z0^2 - 2*x^8*y*z0^3 + 2*x^8*z0^4 + x^11 - x^9*y*z0 + x^9*z0^2 + x^7*y*z0^3 - x^7*z0^4 + x^10 + x^8*y*z0 + x^8*z0^2 + 2*x^6*y*z0^3 + 2*x^6*z0^4 + x^9 - x^7*z0^2 - 2*x^5*y*z0^3 - x^5*z0^4 + x^8 - 2*x^6*z0^2 - x^4*y*z0^3 + x^4*z0^4 - x^7 + x^3*z0^4 + 2*x^6 - 2*x^4*y*z0 - 2*x^4*z0^2 - 2*x^2*z0^4 + x^5 + x^3*z0^2 + x^2*y*z0 - 2*x^2*z0^2 + x^3 - x^2)/y) * dx,
+ ((-2*x^61*z0^3 - 2*x^60*z0^3 + 2*x^58*y^2*z0^3 + 2*x^61*z0 + 2*x^59*z0^3 + 2*x^57*y^2*z0^3 + x^60*z0 - 2*x^58*y^2*z0 - 2*x^56*y^2*z0^3 - x^59*z0 - x^57*y^2*z0 + 2*x^55*y^2*z0^3 - 2*x^58*z0 + x^56*y^2*z0 - 2*x^56*z0^3 + 2*x^54*y^2*z0^3 - x^57*z0 + x^56*z0 - x^54*z0^3 + 2*x^55*z0 + 2*x^53*z0^3 + x^51*y^2*z0^3 + x^54*z0 - x^53*z0 + x^51*z0^3 - 2*x^52*z0 - 2*x^50*z0^3 - x^51*z0 + x^50*z0 - x^48*z0^3 + 2*x^49*z0 + 2*x^47*z0^3 + x^48*z0 - x^47*z0 + x^45*z0^3 - 2*x^46*z0 - 2*x^44*z0^3 - x^45*z0 + x^44*z0 - x^42*z0^3 + 2*x^43*z0 - 2*x^39*y*z0^4 + x^42*z0 - x^40*y*z0^2 + 2*x^38*y*z0^4 + x^41*z0 + 2*x^39*y*z0^2 + x^39*z0^3 + x^40*y - x^40*z0 + x^38*y*z0^2 + x^38*z0^3 - 2*x^36*y*z0^4 + 2*x^39*y + 2*x^37*y*z0^2 - 2*x^37*z0^3 + 2*x^35*y*z0^4 + 2*x^38*y - x^38*z0 - x^36*y*z0^2 - 2*x^34*y*z0^4 + 2*x^37*y - x^37*z0 + x^35*z0^3 - 2*x^33*y*z0^4 + x^36*y + 2*x^36*z0 + 2*x^34*y*z0^2 - x^34*z0^3 - 2*x^35*y + 2*x^35*z0 + 2*x^33*y*z0^2 + 2*x^33*z0^3 + 2*x^31*y*z0^4 - 2*x^34*z0 + x^32*z0^3 + 2*x^30*y*z0^4 + x^33*y - 2*x^33*z0 - x^31*z0^3 + x^29*y*z0^4 - x^32*y + 2*x^32*z0 - 2*x^30*y*z0^2 + x^30*z0^3 - 2*x^28*y*z0^4 - x^31*y + x^31*z0 + 2*x^29*y*z0^2 - 2*x^29*z0^3 - x^27*y*z0^4 - x^30*y + x^30*z0 + x^28*y*z0^2 - x^28*z0^3 + 2*x^26*y*z0^4 + x^29*y + x^29*z0 + 2*x^27*z0^3 + 2*x^25*y*z0^4 + 2*x^28*y + 2*x^28*z0 - x^26*y*z0^2 - x^26*z0^3 - x^24*y*z0^4 + x^27*y - 2*x^25*y*z0^2 - x^25*z0^3 + x^23*y*z0^4 - x^26*y + x^26*z0 + 2*x^24*z0^3 + x^22*y*z0^4 + x^25*y + 2*x^23*z0^3 + x^21*y*z0^4 - 2*x^24*y - 2*x^22*y*z0^2 + x^22*z0^3 + 2*x^23*y + 2*x^23*z0 - x^21*y*z0^2 + 2*x^21*z0^3 + x^19*y*z0^4 - 2*x^22*y - 2*x^22*z0 - x^20*y*z0^2 + 2*x^20*z0^3 + x^18*y*z0^4 - 2*x^21*y + x^21*z0 + x^19*y*z0^2 + 2*x^19*z0^3 + x^17*y*z0^4 - x^20*z0 + x^18*y*z0^2 - x^18*z0^3 - x^19*y + x^19*z0 - x^17*y*z0^2 - 2*x^17*z0^3 + x^15*y*z0^4 + 2*x^18*y + 2*x^18*z0 - 2*x^16*z0^3 + 2*x^14*y*z0^4 - x^17*y + x^17*z0 + x^15*y*z0^2 - 2*x^15*z0^3 - x^13*y*z0^4 + 2*x^16*y - x^16*z0 + x^14*y*z0^2 - 2*x^14*z0^3 + x^12*y*z0^4 + x^15*y - x^13*y*z0^2 - x^11*y*z0^4 + 2*x^14*y - 2*x^14*z0 + x^12*y*z0^2 + 2*x^12*z0^3 - 2*x^10*y*z0^4 - x^13*y - x^13*z0 - x^11*z0^3 + x^10*y*z0^2 - 2*x^8*y*z0^4 - 2*x^11*y - x^11*z0 - 2*x^9*y*z0^2 + x^9*z0^3 + 2*x^7*y*z0^4 - 2*x^10*z0 + x^8*y*z0^2 + 2*x^8*z0^3 - 2*x^6*y*z0^4 + 2*x^9*y - 2*x^9*z0 - x^7*y*z0^2 - x^7*z0^3 - 2*x^5*y*z0^4 + x^8*y + x^8*z0 + 2*x^6*z0^3 + 2*x^4*y*z0^4 + x^7*y - 2*x^7*z0 - 2*x^5*y*z0^2 + x^5*z0^3 + x^3*y*z0^4 + x^6*y - 2*x^6*z0 - 2*x^4*y*z0^2 + x^4*z0^3 + 2*x^2*y*z0^4 + x^5*y - 2*x^5*z0 + x^4*y - 2*x^4*z0 + x^2*y*z0^2 - x^2*z0^3 - 2*x^3*y + 2*x^3*z0 + x^2*y)/y) * dx,
+ ((-2*x^61*z0^4 + x^60*z0^4 + 2*x^58*y^2*z0^4 - x^61*z0^2 + 2*x^59*z0^4 - x^57*y^2*z0^4 + 2*x^60*z0^2 + x^58*y^2*z0^2 + 2*x^58*z0^4 - 2*x^56*y^2*z0^4 + 2*x^61 - 2*x^57*y^2*z0^2 - x^57*z0^4 + 2*x^60 - 2*x^58*y^2 + x^58*z0^2 - 2*x^56*z0^4 - 2*x^57*y^2 - 2*x^57*z0^2 - 2*x^55*z0^4 - 2*x^58 - 2*x^57 - x^55*z0^2 + 2*x^53*z0^4 + x^51*y^2*z0^4 + 2*x^54*z0^2 + 2*x^52*z0^4 + 2*x^55 + 2*x^54 + x^52*z0^2 - 2*x^50*z0^4 - 2*x^51*z0^2 - 2*x^49*z0^4 - 2*x^52 - 2*x^51 - x^49*z0^2 + 2*x^47*z0^4 + 2*x^48*z0^2 + 2*x^46*z0^4 + 2*x^49 + 2*x^48 + x^46*z0^2 - 2*x^44*z0^4 - 2*x^45*z0^2 - 2*x^43*z0^4 - 2*x^46 - 2*x^45 - x^43*z0^2 + x^41*z0^4 + 2*x^42*z0^2 - x^40*y*z0^3 - 2*x^40*z0^4 + 2*x^43 - x^41*z0^2 - x^39*y*z0^3 - 2*x^39*z0^4 + 2*x^42 + 2*x^40*y*z0 + x^40*z0^2 + 2*x^38*y*z0^3 - 2*x^38*z0^4 - x^41 + x^39*y*z0 - x^39*z0^2 + 2*x^37*y*z0^3 - 2*x^37*z0^4 + 2*x^40 - 2*x^38*z0^2 + 2*x^36*y*z0^3 + x^36*z0^4 - x^39 - x^37*y*z0 - 2*x^35*y*z0^3 - 2*x^35*z0^4 + 2*x^38 + x^36*z0^2 + 2*x^34*y*z0^3 + 2*x^34*z0^4 - 2*x^37 + x^35*y*z0 + 2*x^35*z0^2 + 2*x^33*y*z0^3 - x^33*z0^4 + 2*x^36 - 2*x^34*y*z0 + 2*x^34*z0^2 + x^32*y*z0^3 + 2*x^32*z0^4 + x^35 - 2*x^33*y*z0 + 2*x^31*y*z0^3 + 2*x^31*z0^4 - 2*x^34 + x^32*y*z0 + x^32*z0^2 - x^30*z0^4 - x^33 - 2*x^31*y*z0 + 2*x^31*z0^2 + x^29*y*z0^3 + x^32 - x^30*y*z0 - 2*x^30*z0^2 + x^28*y*z0^3 - 2*x^28*z0^4 - 2*x^31 + 2*x^29*y*z0 - x^29*z0^2 - x^30 - x^28*y*z0 - 2*x^28*z0^2 - 2*x^26*y*z0^3 - x^26*z0^4 + 2*x^29 - 2*x^27*y*z0 - 2*x^27*z0^2 - 2*x^25*y*z0^3 + x^26*y*z0 + 2*x^26*z0^2 - x^24*y*z0^3 - x^24*z0^4 - x^27 + 2*x^25*y*z0 - x^23*y*z0^3 - 2*x^23*z0^4 - 2*x^26 - 2*x^24*y*z0 + x^24*z0^2 + x^22*y*z0^3 + x^22*z0^4 - x^25 + x^23*y*z0 - x^23*z0^2 + 2*x^21*y*z0^3 - x^21*z0^4 + x^22*y*z0 + x^20*y*z0^3 - 2*x^20*z0^4 - 2*x^23 - x^21*y*z0 + 2*x^19*z0^4 - x^20*y*z0 + x^20*z0^2 - x^18*y*z0^3 - 2*x^18*z0^4 + x^21 - x^19*y*z0 - 2*x^19*z0^2 - 2*x^17*y*z0^3 - 2*x^17*z0^4 + 2*x^20 - 2*x^18*y*z0 + x^18*z0^2 - 2*x^16*z0^4 + x^19 - 2*x^17*y*z0 - 2*x^17*z0^2 + x^15*y*z0^3 + 2*x^15*z0^4 - x^18 + 2*x^16*y*z0 + x^16*z0^2 - x^14*y*z0^3 - x^14*z0^4 - x^17 - 2*x^15*y*z0 - 2*x^15*z0^2 - x^13*y*z0^3 + 2*x^13*z0^4 - x^16 + x^14*y*z0 - x^12*y*z0^3 - 2*x^15 + 2*x^13*y*z0 + x^13*z0^2 + x^11*y*z0^3 - 2*x^14 + 2*x^12*z0^2 - x^10*y*z0^3 + 2*x^10*z0^4 + 2*x^11*y*z0 - 2*x^9*y*z0^3 + 2*x^9*z0^4 - x^12 - x^10*y*z0 + x^10*z0^2 + 2*x^8*y*z0^3 + 2*x^8*z0^4 - 2*x^11 - x^9*y*z0 + 2*x^9*z0^2 + 2*x^7*y*z0^3 - x^7*z0^4 - x^10 + 2*x^8*y*z0 + x^8*z0^2 - 2*x^6*y*z0^3 - 2*x^6*z0^4 + 2*x^7*y*z0 - x^7*z0^2 - x^5*z0^4 + 2*x^8 - x^6*z0^2 - x^4*y*z0^3 - 2*x^4*z0^4 - x^7 - 2*x^5*y*z0 - x^5*z0^2 + x^3*y*z0^3 - x^3*z0^4 + 2*x^4*y*z0 - x^4*z0^2 - 2*x^2*y*z0^3 + x^2*z0^4 - x^5 - x^3*y*z0 + 2*x^3*z0^2 - x^2*y*z0 + 2*x^2*z0^2 - x^3)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-2*x^61*z0^4 + 2*x^58*y^2*z0^4 - 2*x^61*z0^2 + 2*x^59*z0^4 + x^60*z0^2 + 2*x^58*y^2*z0^2 + 2*x^58*z0^4 - 2*x^56*y^2*z0^4 + x^61 - x^57*y^2*z0^2 - x^58*y^2 + 2*x^58*z0^2 - 2*x^56*z0^4 - x^57*z0^2 - 2*x^55*z0^4 - x^58 - 2*x^55*z0^2 + 2*x^53*z0^4 + x^54*z0^2 + 2*x^52*z0^4 + x^52*y^2 + 2*x^52*z0^2 - 2*x^50*z0^4 - x^51*z0^2 - 2*x^49*z0^4 - 2*x^49*z0^2 + 2*x^47*z0^4 + x^48*z0^2 + 2*x^46*z0^4 + 2*x^46*z0^2 - 2*x^44*z0^4 - x^45*z0^2 - 2*x^43*z0^4 - 2*x^43*z0^2 - 2*x^41*z0^4 + x^42*z0^2 - x^40*y*z0^3 + 2*x^40*z0^4 - 2*x^41*z0^2 - 2*x^39*y*z0^3 - x^40*y*z0 - x^40*z0^2 + 2*x^38*z0^4 + x^41 + 2*x^39*y*z0 + x^39*z0^2 + 2*x^37*y*z0^3 + 2*x^37*z0^4 - 2*x^40 + x^38*y*z0 + x^38*z0^2 - x^36*y*z0^3 + x^36*z0^4 - 2*x^39 - x^37*y*z0 - x^35*z0^4 + x^38 - x^36*z0^2 + x^34*y*z0^3 - 2*x^34*z0^4 + 2*x^37 - 2*x^35*y*z0 + 2*x^33*y*z0^3 - x^33*z0^4 - 2*x^34*y*z0 + 2*x^34*z0^2 + 2*x^32*z0^4 - x^33*y*z0 + x^33*z0^2 - x^31*y*z0^3 - x^30*y*z0^3 + x^31*y*z0 - x^31*z0^2 - x^29*y*z0^3 + x^32 + 2*x^30*y*z0 + 2*x^30*z0^2 + x^28*z0^4 - x^31 - 2*x^29*y*z0 + 2*x^29*z0^2 - 2*x^27*y*z0^3 - x^27*z0^4 - 2*x^28*z0^2 - 2*x^26*y*z0^3 - x^26*z0^4 - x^29 + 2*x^27*y*z0 + 2*x^27*z0^2 + 2*x^25*y*z0^3 + x^25*z0^4 - 2*x^26*y*z0 - 2*x^26*z0^2 + 2*x^24*y*z0^3 - x^27 + x^25*y*z0 + 2*x^24*y*z0 + x^24*z0^2 + x^22*y*z0^3 - x^25 + 2*x^23*y*z0 + x^23*z0^2 + 2*x^21*y*z0^3 + 2*x^21*z0^4 - 2*x^24 - 2*x^22*y*z0 + 2*x^22*z0^2 - 2*x^20*z0^4 + 2*x^21*y*z0 + 2*x^21*z0^2 + x^20*y*z0 + 2*x^20*z0^2 - 2*x^18*z0^4 + x^19*y*z0 + x^19*z0^2 - x^17*y*z0^3 - x^18*y*z0 + 2*x^18*z0^2 - x^16*y*z0^3 - x^16*z0^4 + x^19 - 2*x^17*y*z0 - 2*x^17*z0^2 + x^18 + x^16*z0^2 - 2*x^14*y*z0^3 + 2*x^14*z0^4 - 2*x^17 - 2*x^15*y*z0 - 2*x^15*z0^2 + 2*x^13*y*z0^3 - 2*x^13*z0^4 + x^16 - x^14*y*z0 - 2*x^14*z0^2 + x^12*y*z0^3 - x^12*z0^4 - x^13*y*z0 - 2*x^11*y*z0^3 - x^11*z0^4 + x^14 - x^12*z0^2 + 2*x^10*y*z0^3 + x^10*z0^4 - 2*x^13 - x^11*y*z0 + 2*x^9*y*z0^3 + 2*x^9*z0^4 - x^12 + 2*x^10*y*z0 - 2*x^10*z0^2 - x^8*y*z0^3 - x^8*z0^4 - x^11 + x^9*y*z0 - x^9*z0^2 + 2*x^7*y*z0^3 + 2*x^7*z0^4 - x^10 - x^8*y*z0 - x^8*z0^2 - 2*x^9 + 2*x^7*y*z0 - 2*x^7*z0^2 - x^5*y*z0^3 + x^8 - x^6*y*z0 + x^6*z0^2 - x^4*y*z0^3 - x^4*z0^4 + 2*x^5*y*z0 - 2*x^5*z0^2 - 2*x^3*y*z0^3 - x^3*z0^4 - x^6 + 2*x^2*z0^4 + x^5 - x^3*z0^2 - x^2*y*z0 - 2*x^2*z0^2 - 2*x^3 + 2*x^2)/y) * dx,
+ ((-2*x^61*z0^3 + 2*x^58*y^2*z0^3 - 2*x^61*z0 - x^59*z0^3 - 2*x^60*z0 + 2*x^58*y^2*z0 + 2*x^58*z0^3 + x^56*y^2*z0^3 + 2*x^59*z0 + 2*x^57*y^2*z0 - x^57*z0^3 + 2*x^58*z0 - 2*x^56*y^2*z0 + x^56*z0^3 + x^54*y^2*z0^3 + 2*x^57*z0 - 2*x^55*z0^3 - 2*x^56*z0 + x^54*z0^3 + 2*x^55*z0 - x^53*z0^3 - 2*x^54*z0 + x^52*y^2*z0 + 2*x^52*z0^3 + 2*x^53*z0 - x^51*z0^3 - 2*x^52*z0 + x^50*z0^3 + 2*x^51*z0 - 2*x^49*z0^3 - 2*x^50*z0 + x^48*z0^3 + 2*x^49*z0 - x^47*z0^3 - 2*x^48*z0 + 2*x^46*z0^3 + 2*x^47*z0 - x^45*z0^3 - 2*x^46*z0 + x^44*z0^3 + 2*x^45*z0 - 2*x^43*z0^3 - 2*x^44*z0 + x^42*z0^3 + 2*x^43*z0 + 2*x^41*z0^3 - 2*x^39*y*z0^4 - 2*x^42*z0 - x^40*y*z0^2 - 2*x^40*z0^3 + x^38*y*z0^4 - 2*x^39*y*z0^2 + x^39*z0^3 - x^40*y - 2*x^40*z0 + x^38*z0^3 + 2*x^36*y*z0^4 - 2*x^39*y - 2*x^39*z0 - 2*x^37*y*z0^2 + x^37*z0^3 - 2*x^35*y*z0^4 + 2*x^38*y + x^38*z0 - 2*x^36*y*z0^2 + x^36*z0^3 + 2*x^34*y*z0^4 - 2*x^37*y + x^35*y*z0^2 - x^35*z0^3 + 2*x^33*y*z0^4 + 2*x^36*y - 2*x^36*z0 + x^34*y*z0^2 + x^34*z0^3 - 2*x^35*y + x^33*y*z0^2 - 2*x^33*z0^3 - x^31*y*z0^4 + 2*x^34*y + 2*x^34*z0 - 2*x^32*y*z0^2 - 2*x^32*z0^3 + 2*x^30*y*z0^4 - x^33*y - 2*x^33*z0 + 2*x^31*y*z0^2 + x^30*y*z0^2 - 2*x^30*z0^3 - x^28*y*z0^4 + x^31*y - 2*x^31*z0 + x^29*y*z0^2 - x^29*z0^3 + x^30*y - x^30*z0 + x^28*z0^3 + 2*x^26*y*z0^4 - x^29*y - 2*x^29*z0 + x^27*y*z0^2 + x^25*y*z0^4 + x^28*y + x^28*z0 + 2*x^26*z0^3 + x^27*y - 2*x^27*z0 - 2*x^25*y*z0^2 + x^25*z0^3 - x^23*y*z0^4 + 2*x^26*y + x^26*z0 + 2*x^24*z0^3 + x^25*y - 2*x^25*z0 + 2*x^23*z0^3 + x^21*y*z0^4 + x^24*y + x^24*z0 + x^22*y*z0^2 + 2*x^22*z0^3 - 2*x^20*y*z0^4 + 2*x^23*y + 2*x^21*y*z0^2 + 2*x^22*z0 + 2*x^20*y*z0^2 + x^20*z0^3 + x^18*y*z0^4 + 2*x^21*y - 2*x^21*z0 - 2*x^19*y*z0^2 + 2*x^19*z0^3 - 2*x^17*y*z0^4 - x^20*y - x^20*z0 - 2*x^18*y*z0^2 - x^19*y - x^19*z0 - x^17*y*z0^2 + 2*x^17*z0^3 - 2*x^15*y*z0^4 + x^18*y - x^18*z0 + 2*x^16*y*z0^2 + 2*x^14*y*z0^4 - x^17*y + 2*x^17*z0 - 2*x^15*y*z0^2 + 2*x^15*z0^3 - x^13*y*z0^4 - 2*x^16*y + 2*x^16*z0 - 2*x^14*y*z0^2 + x^14*z0^3 + 2*x^12*y*z0^4 + x^15*y - 2*x^15*z0 + x^13*y*z0^2 - x^13*z0^3 - 2*x^11*y*z0^4 - x^14*y - x^14*z0 - x^12*y*z0^2 - 2*x^10*y*z0^4 + x^13*y + x^13*z0 - 2*x^11*y*z0^2 + 2*x^11*z0^3 - 2*x^9*y*z0^4 + 2*x^12*y - 2*x^12*z0 - x^10*y*z0^2 - 2*x^10*z0^3 + 2*x^8*y*z0^4 + x^11*y + x^11*z0 - x^9*y*z0^2 + 2*x^7*y*z0^4 - 2*x^10*z0 - 2*x^8*y*z0^2 + 2*x^6*y*z0^4 - 2*x^9*y - 2*x^9*z0 - x^7*z0^3 + x^5*y*z0^4 - 2*x^8*y + x^8*z0 - 2*x^6*y*z0^2 - x^6*z0^3 - 2*x^4*y*z0^4 + x^5*y*z0^2 - 2*x^5*z0^3 + x^3*y*z0^4 - 2*x^6*y + 2*x^6*z0 + 2*x^4*y*z0^2 - x^4*z0^3 + x^2*y*z0^4 + x^5*y - 2*x^5*z0 + x^3*z0^3 + 2*x^4*z0 - 2*x^2*y*z0^2 - 2*x^2*z0^3 + 2*x^3*y - 2*x^3*z0 - x^2*y - x^2*z0)/y) * dx,
+ ((x^61*z0^4 - x^60*z0^4 - x^58*y^2*z0^4 - x^61*z0^2 + x^59*z0^4 + x^57*y^2*z0^4 + x^60*z0^2 + x^58*y^2*z0^2 - x^58*z0^4 - x^56*y^2*z0^4 - x^57*y^2*z0^2 + x^57*z0^4 + x^58*z0^2 - x^56*z0^4 - x^57*z0^2 + x^55*z0^4 - x^54*z0^4 - 2*x^55*z0^2 + x^53*z0^4 + x^54*z0^2 + x^52*y^2*z0^2 - x^52*z0^4 + x^51*z0^4 + 2*x^52*z0^2 - x^50*z0^4 - x^51*z0^2 + x^49*z0^4 - x^48*z0^4 - 2*x^49*z0^2 + x^47*z0^4 + x^48*z0^2 - x^46*z0^4 + x^45*z0^4 + 2*x^46*z0^2 - x^44*z0^4 - x^45*z0^2 + x^43*z0^4 - x^42*z0^4 - 2*x^43*z0^2 + 2*x^41*z0^4 + x^42*z0^2 - 2*x^40*y*z0^3 + 2*x^40*z0^4 - x^41*z0^2 - x^39*y*z0^3 + 2*x^39*z0^4 + 2*x^40*y*z0 + 2*x^38*z0^4 + x^41 - x^39*y*z0 - x^37*y*z0^3 + 2*x^40 + x^38*y*z0 - 2*x^38*z0^2 + 2*x^36*y*z0^3 + x^36*z0^4 - 2*x^39 + 2*x^37*y*z0 - 2*x^37*z0^2 + 2*x^35*y*z0^3 - 2*x^35*z0^4 - x^38 + x^36*y*z0 + x^34*y*z0^3 + 2*x^34*z0^4 - x^37 + x^35*y*z0 - 2*x^35*z0^2 + x^33*z0^4 + x^34*y*z0 - x^34*z0^2 - x^32*y*z0^3 + x^35 - x^33*y*z0 + 2*x^33*z0^2 - 2*x^31*z0^4 + 2*x^32*y*z0 - 2*x^32*z0^2 + 2*x^30*y*z0^3 + x^30*z0^4 + 2*x^33 - x^29*y*z0^3 + x^32 - x^30*y*z0 - x^30*z0^2 - 2*x^28*y*z0^3 + 2*x^28*z0^4 + 2*x^31 - 2*x^29*z0^2 + x^27*z0^4 - 2*x^30 + x^28*y*z0 - x^28*z0^2 - x^26*y*z0^3 + 2*x^26*z0^4 - x^29 + x^27*z0^2 + 2*x^25*y*z0^3 + x^25*z0^4 - 2*x^28 - x^26*y*z0 + x^26*z0^2 + 2*x^24*y*z0^3 + 2*x^24*z0^4 - x^25*y*z0 + x^25*z0^2 - 2*x^23*y*z0^3 + x^23*z0^4 + x^26 - x^24*y*z0 - 2*x^24*z0^2 + 2*x^22*z0^4 - 2*x^25 - x^23*z0^2 - x^21*z0^4 - 2*x^24 + 2*x^22*y*z0 - x^20*y*z0^3 - x^20*z0^4 + 2*x^23 + 2*x^21*y*z0 - x^21*z0^2 - x^19*y*z0^3 + x^22 + 2*x^20*y*z0 - x^20*z0^2 + x^18*y*z0^3 + x^18*z0^4 + x^21 - x^19*y*z0 + 2*x^19*z0^2 - x^17*y*z0^3 + 2*x^17*z0^4 + x^20 - 2*x^18*y*z0 + x^16*z0^4 + x^19 - 2*x^17*y*z0 - x^17*z0^2 - x^15*y*z0^3 + x^15*z0^4 + x^16*y*z0 - 2*x^16*z0^2 - 2*x^14*y*z0^3 + x^14*z0^4 + 2*x^17 + 2*x^15*y*z0 + 2*x^13*y*z0^3 - 2*x^13*z0^4 + 2*x^16 - x^14*y*z0 - 2*x^12*y*z0^3 - x^12*z0^4 + 2*x^15 + 2*x^13*y*z0 + x^13*z0^2 - x^11*y*z0^3 - 2*x^11*z0^4 + 2*x^14 + 2*x^12*y*z0 - x^12*z0^2 + x^10*y*z0^3 + x^10*z0^4 - x^13 + x^11*y*z0 - x^9*y*z0^3 - x^9*z0^4 - 2*x^12 + 2*x^10*y*z0 + x^10*z0^2 - x^8*y*z0^3 - x^8*z0^4 - x^9*y*z0 + x^9*z0^2 - x^7*y*z0^3 + x^7*z0^4 - x^8*y*z0 - x^8*z0^2 + 2*x^6*y*z0^3 + 2*x^9 - x^7*y*z0 + x^7*z0^2 + 2*x^5*y*z0^3 + x^5*z0^4 - 2*x^8 - 2*x^6*y*z0 - 2*x^6*z0^2 - x^4*y*z0^3 + x^4*z0^4 + x^7 - x^5*y*z0 - 2*x^3*y*z0^3 - 2*x^3*z0^4 - x^6 + 2*x^4*y*z0 + 2*x^4*z0^2 - 2*x^2*y*z0^3 - x^2*z0^4 + x^5 - x^3*y*z0 + x^2*y*z0 + 2*x^2)/y) * dx,
+ ((-2*x^61*z0^3 - x^60*z0^3 + 2*x^58*y^2*z0^3 + x^59*z0^3 + x^57*y^2*z0^3 + 2*x^60*z0 + 2*x^58*z0^3 - x^56*y^2*z0^3 + x^59*z0 - 2*x^57*y^2*z0 + 2*x^57*z0^3 - x^56*y^2*z0 - x^56*z0^3 - x^54*y^2*z0^3 - 2*x^57*z0 + 2*x^55*z0^3 - x^56*z0 - 2*x^54*z0^3 + x^52*y^2*z0^3 + x^53*z0^3 + 2*x^54*z0 - 2*x^52*z0^3 + x^53*z0 + 2*x^51*z0^3 - x^50*z0^3 - 2*x^51*z0 + 2*x^49*z0^3 - x^50*z0 - 2*x^48*z0^3 + x^47*z0^3 + 2*x^48*z0 - 2*x^46*z0^3 + x^47*z0 + 2*x^45*z0^3 - x^44*z0^3 - 2*x^45*z0 + 2*x^43*z0^3 - x^44*z0 - 2*x^42*z0^3 - x^41*z0^3 - 2*x^39*y*z0^4 + 2*x^42*z0 - x^40*y*z0^2 + x^40*z0^3 - x^38*y*z0^4 + x^41*z0 + 2*x^39*z0^3 - 2*x^37*y*z0^4 - 2*x^40*z0 - 2*x^38*y*z0^2 + x^38*z0^3 + x^36*y*z0^4 - 2*x^37*y*z0^2 - 2*x^37*z0^3 + x^35*y*z0^4 + 2*x^36*y*z0^2 + x^36*z0^3 + 2*x^34*y*z0^4 + 2*x^35*z0^3 - x^33*y*z0^4 - x^36*y - 2*x^36*z0 + x^34*y*z0^2 - 2*x^32*y*z0^4 + 2*x^35*y + x^35*z0 - x^33*y*z0^2 + x^31*y*z0^4 + x^34*y + x^34*z0 - x^32*y*z0^2 + 2*x^32*z0^3 - 2*x^30*y*z0^4 - 2*x^33*y - 2*x^31*y*z0^2 - 2*x^31*z0^3 + 2*x^29*y*z0^4 + x^32*y + 2*x^32*z0 + 2*x^30*y*z0^2 + 2*x^30*z0^3 - 2*x^28*y*z0^4 + 2*x^31*y - x^29*y*z0^2 + 2*x^29*z0^3 + 2*x^27*y*z0^4 - 2*x^30*y - x^30*z0 + x^28*y*z0^2 + 2*x^28*z0^3 - 2*x^26*y*z0^4 + x^29*z0 - x^27*y*z0^2 + 2*x^27*z0^3 - x^28*y - x^28*z0 - x^26*y*z0^2 - 2*x^24*y*z0^4 - x^27*y - 2*x^25*y*z0^2 + 2*x^25*z0^3 - 2*x^23*y*z0^4 + x^26*y + 2*x^26*z0 + x^24*y*z0^2 + 2*x^22*y*z0^4 + 2*x^25*y + x^25*z0 + 2*x^23*z0^3 - 2*x^21*y*z0^4 - x^24*y + 2*x^24*z0 + 2*x^22*y*z0^2 + 2*x^22*z0^3 + 2*x^20*y*z0^4 - 2*x^23*y - 2*x^23*z0 + 2*x^21*y*z0^2 - x^21*z0^3 - x^19*y*z0^4 + x^22*y + x^22*z0 - 2*x^20*z0^3 - 2*x^18*y*z0^4 - x^21*y - 2*x^21*z0 + 2*x^19*y*z0^2 + x^19*z0^3 - x^17*y*z0^4 - 2*x^20*y - x^20*z0 + 2*x^18*y*z0^2 + x^18*z0^3 + x^16*y*z0^4 - 2*x^19*y - x^17*z0^3 - x^15*y*z0^4 + x^18*y + x^16*z0^3 + 2*x^14*y*z0^4 - 2*x^17*y + 2*x^15*y*z0^2 - 2*x^15*z0^3 + x^13*y*z0^4 + 2*x^16*y + x^16*z0 + x^14*y*z0^2 - x^14*z0^3 - x^12*y*z0^4 - x^15*z0 - 2*x^13*y*z0^2 - 2*x^13*z0^3 - 2*x^11*y*z0^4 - 2*x^14*y - 2*x^14*z0 + 2*x^12*z0^3 - 2*x^10*y*z0^4 - 2*x^13*y - 2*x^11*y*z0^2 + x^11*z0^3 - x^9*y*z0^4 + x^10*z0^3 + 2*x^8*y*z0^4 + 2*x^11*y + x^9*z0^3 + x^7*y*z0^4 + 2*x^8*z0^3 + 2*x^6*y*z0^4 - 2*x^9*y + 2*x^9*z0 + x^7*z0^3 + 2*x^5*y*z0^4 - 2*x^8*y - x^8*z0 - 2*x^6*y*z0^2 + 2*x^6*z0^3 + x^7*z0 + x^5*z0^3 - 2*x^3*y*z0^4 - x^6*y - x^6*z0 + x^4*y*z0^2 - 2*x^2*y*z0^4 + x^5*z0 - 2*x^3*y*z0^2 + 2*x^3*z0^3 + x^4*y - 2*x^4*z0 - x^2*y*z0^2 + 2*x^2*z0^3 - 2*x^3*y + x^3*z0 + 2*x^2*y - x^2*z0)/y) * dx,
+ ((2*x^61*z0^4 + x^60*z0^4 - 2*x^58*y^2*z0^4 + x^61*z0^2 - x^59*z0^4 - x^57*y^2*z0^4 - x^60*z0^2 - x^58*y^2*z0^2 - 2*x^58*z0^4 + x^56*y^2*z0^4 + 2*x^61 + x^57*y^2*z0^2 - x^57*z0^4 - x^60 - 2*x^58*y^2 - x^58*z0^2 + x^56*z0^4 + x^57*y^2 + x^57*z0^2 + x^55*z0^4 - 2*x^58 + x^54*z0^4 + x^52*y^2*z0^4 + x^57 + x^55*z0^2 - x^53*z0^4 - x^54*z0^2 - x^52*z0^4 + 2*x^55 - x^51*z0^4 - x^54 - x^52*z0^2 + x^50*z0^4 + x^51*z0^2 + x^49*z0^4 - 2*x^52 + x^48*z0^4 + x^51 + x^49*z0^2 - x^47*z0^4 - x^48*z0^2 - x^46*z0^4 + 2*x^49 - x^45*z0^4 - x^48 - x^46*z0^2 + x^44*z0^4 + x^45*z0^2 + x^43*z0^4 - 2*x^46 + x^42*z0^4 + x^45 + x^43*z0^2 + 2*x^41*z0^4 - x^42*z0^2 + x^40*y*z0^3 + 2*x^43 + x^41*z0^2 + x^39*y*z0^3 + x^39*z0^4 - x^42 - 2*x^40*y*z0 - x^38*y*z0^3 + x^38*z0^4 - 2*x^41 - x^39*y*z0 - x^37*y*z0^3 + 2*x^38*y*z0 + 2*x^38*z0^2 - 2*x^36*y*z0^3 + 2*x^36*z0^4 - x^39 + x^37*y*z0 + 2*x^35*z0^4 - x^38 - 2*x^36*y*z0 - x^34*y*z0^3 + x^34*z0^4 + x^37 + x^35*y*z0 + 2*x^35*z0^2 - 2*x^33*y*z0^3 + x^33*z0^4 + 2*x^36 - 2*x^34*y*z0 - 2*x^34*z0^2 - 2*x^32*y*z0^3 - x^32*z0^4 - x^35 - 2*x^33*y*z0 - 2*x^33*z0^2 - x^31*y*z0^3 + x^31*z0^4 - 2*x^34 - 2*x^32*y*z0 - x^32*z0^2 - 2*x^30*z0^4 + x^33 + x^31*y*z0 + x^31*z0^2 + x^29*y*z0^3 - x^29*z0^4 + 2*x^30*y*z0 + x^28*y*z0^3 + 2*x^28*z0^4 + 2*x^29*z0^2 - x^27*z0^4 + x^30 - 2*x^28*y*z0 + x^28*z0^2 - 2*x^26*z0^4 - x^29 + x^27*y*z0 + x^27*z0^2 - x^25*y*z0^3 + x^25*z0^4 + 2*x^28 + x^26*y*z0 - 2*x^26*z0^2 - 2*x^24*y*z0^3 + x^24*z0^4 - 2*x^27 - 2*x^25*y*z0 - 2*x^25*z0^2 + 2*x^23*y*z0^3 - x^23*z0^4 - x^26 - x^24*y*z0 + x^22*y*z0^3 + x^25 + 2*x^23*y*z0 + 2*x^23*z0^2 - x^21*y*z0^3 - 2*x^21*z0^4 + x^24 + x^22*z0^2 - x^23 + 2*x^21*y*z0 + x^18*z0^4 + x^21 - 2*x^19*y*z0 + 2*x^19*z0^2 + x^17*y*z0^3 - x^18*z0^2 - x^16*y*z0^3 - x^19 + 2*x^17*y*z0 + 2*x^17*z0^2 - 2*x^15*y*z0^3 - x^15*z0^4 + 2*x^16*y*z0 + x^16*z0^2 - x^14*y*z0^3 - x^14*z0^4 + x^17 + x^15*y*z0 - x^15*z0^2 - 2*x^13*y*z0^3 - 2*x^13*z0^4 + x^14*y*z0 - x^14*z0^2 - x^12*z0^4 - x^15 + 2*x^13*y*z0 - 2*x^11*y*z0^3 - 2*x^11*z0^4 - 2*x^12*y*z0 - 2*x^12*z0^2 + x^10*y*z0^3 + 2*x^10*z0^4 - x^13 - x^11*y*z0 + 2*x^11*z0^2 + x^9*y*z0^3 - x^9*z0^4 - 2*x^12 + 2*x^10*y*z0 - 2*x^10*z0^2 + x^8*y*z0^3 + x^8*z0^4 + x^11 + 2*x^9*z0^2 + x^7*z0^4 - 2*x^8*y*z0 - 2*x^8*z0^2 - 2*x^9 + 2*x^7*y*z0 - 2*x^7*z0^2 - 2*x^5*y*z0^3 + x^5*z0^4 + 2*x^8 + x^6*y*z0 + x^4*y*z0^3 - x^4*z0^4 + x^7 + x^5*y*z0 - x^5*z0^2 + 2*x^3*y*z0^3 - x^4*z0^2 - 2*x^2*y*z0^3 - 2*x^2*z0^4 + x^5 - 2*x^3*y*z0 + 2*x^3*z0^2 - x^2*y*z0 - 2*x^2*z0^2 - x^3)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^61*z0^4 + 2*x^60*z0^4 + x^58*y^2*z0^4 - 2*x^61*z0^2 + 2*x^59*z0^4 - 2*x^57*y^2*z0^4 - x^60*z0^2 + 2*x^58*y^2*z0^2 + x^58*z0^4 - 2*x^56*y^2*z0^4 - x^61 + x^57*y^2*z0^2 - 2*x^57*z0^4 - 2*x^60 + x^58*y^2 + 2*x^58*z0^2 - 2*x^56*z0^4 + 2*x^57*y^2 + x^57*z0^2 - x^55*z0^4 + x^58 + 2*x^54*z0^4 + 2*x^57 - 2*x^55*z0^2 + 2*x^53*z0^4 - x^56 - x^54*z0^2 + x^52*z0^4 - x^55 + x^53*y^2 - 2*x^51*z0^4 - 2*x^54 + 2*x^52*z0^2 - 2*x^50*z0^4 + x^53 + x^51*z0^2 - x^49*z0^4 + x^52 + 2*x^48*z0^4 + 2*x^51 - 2*x^49*z0^2 + 2*x^47*z0^4 - x^50 - x^48*z0^2 + x^46*z0^4 - x^49 - 2*x^45*z0^4 - 2*x^48 + 2*x^46*z0^2 - 2*x^44*z0^4 + x^47 + x^45*z0^2 - x^43*z0^4 + x^46 + 2*x^42*z0^4 + 2*x^45 - 2*x^43*z0^2 - 2*x^41*z0^4 - x^44 - x^42*z0^2 + 2*x^40*y*z0^3 + 2*x^40*z0^4 - x^43 - 2*x^41*z0^2 - 2*x^39*y*z0^3 - 2*x^42 - x^40*y*z0 - x^40*z0^2 + 2*x^38*z0^4 + 2*x^41 - 2*x^39*y*z0 - 2*x^39*z0^2 - x^37*y*z0^3 + 2*x^37*z0^4 + 2*x^40 + x^38*y*z0 + x^38*z0^2 - x^36*y*z0^3 + x^36*z0^4 + x^39 + x^37*y*z0 - 2*x^37*z0^2 - 2*x^35*y*z0^3 - x^36*y*z0 + 2*x^36*z0^2 - x^34*y*z0^3 + 2*x^37 - 2*x^35*y*z0 - x^35*z0^2 - 2*x^33*z0^4 + 2*x^36 - x^34*y*z0 + x^34*z0^2 + x^32*y*z0^3 + x^35 + x^33*y*z0 - 2*x^33*z0^2 + 2*x^31*y*z0^3 - 2*x^31*z0^4 + x^34 + x^32*y*z0 - x^32*z0^2 - x^30*y*z0^3 + x^30*z0^4 - x^33 + x^31*z0^2 + x^29*y*z0^3 + x^29*z0^4 + 2*x^32 - x^30*y*z0 - x^30*z0^2 + x^28*y*z0^3 - 2*x^28*z0^4 - x^31 - x^29*y*z0 + 2*x^29*z0^2 - x^27*y*z0^3 + 2*x^27*z0^4 + x^30 + 2*x^28*z0^2 + 2*x^29 + 2*x^27*y*z0 - 2*x^27*z0^2 + x^25*y*z0^3 - x^28 - 2*x^24*y*z0^3 - 2*x^24*z0^4 - 2*x^27 - x^25*y*z0 + x^25*z0^2 + x^23*y*z0^3 - x^23*z0^4 - x^24*y*z0 + 2*x^22*z0^4 + 2*x^25 - 2*x^23*y*z0 + 2*x^23*z0^2 - x^21*z0^4 + 2*x^24 - x^22*y*z0 - x^22*z0^2 + 2*x^20*y*z0^3 - 2*x^20*z0^4 - 2*x^23 + x^21*y*z0 + x^21*z0^2 + 2*x^19*y*z0^3 - 2*x^19*z0^4 + 2*x^20*y*z0 - x^20*z0^2 - x^18*y*z0^3 - 2*x^18*z0^4 + 2*x^21 - x^19*y*z0 + 2*x^19*z0^2 - 2*x^18*y*z0 - x^18*z0^2 + x^16*y*z0^3 + x^16*z0^4 - 2*x^19 - x^17*y*z0 + x^17*z0^2 + x^15*y*z0^3 - x^15*z0^4 + x^18 + 2*x^16*y*z0 - 2*x^16*z0^2 - 2*x^14*y*z0^3 + 2*x^14*z0^4 + x^17 - 2*x^15*y*z0 + x^15*z0^2 + x^13*y*z0^3 + 2*x^13*z0^4 + x^16 + x^14*z0^2 + 2*x^12*y*z0^3 + x^12*z0^4 - x^15 + 2*x^13*y*z0 - 2*x^13*z0^2 - 2*x^11*y*z0^3 - 2*x^12*y*z0 + x^12*z0^2 + 2*x^10*y*z0^3 + 2*x^10*z0^4 - x^13 + x^11*z0^2 - x^9*y*z0^3 - 2*x^9*z0^4 - x^12 - 2*x^10*z0^2 - 2*x^8*y*z0^3 + x^11 + x^9*z0^2 - x^7*y*z0^3 + x^7*z0^4 - x^10 - x^8*z0^2 + 2*x^6*y*z0^3 + x^6*z0^4 + x^9 + x^7*z0^2 + 2*x^5*z0^4 + x^8 - 2*x^6*y*z0 + 2*x^6*z0^2 - x^4*y*z0^3 + 2*x^5*y*z0 - x^5*z0^2 - 2*x^3*y*z0^3 + 2*x^3*z0^4 + 2*x^6 + 2*x^4*y*z0 + 2*x^4*z0^2 + 2*x^2*y*z0^3 - x^2*z0^4 + 2*x^3*y*z0 - 2*x^3*z0^2 + x^2*y*z0 - x^2*z0^2 - 2*x^3 - x^2)/y) * dx,
+ ((2*x^61*z0^3 + 2*x^60*z0^3 - 2*x^58*y^2*z0^3 + x^59*z0^3 - 2*x^57*y^2*z0^3 - x^60*z0 - x^56*y^2*z0^3 + x^59*z0 + x^57*y^2*z0 - 2*x^55*y^2*z0^3 - x^56*y^2*z0 - x^56*z0^3 - 2*x^54*y^2*z0^3 + x^57*z0 - 2*x^56*z0 + x^53*y^2*z0 + x^53*z0^3 - x^54*z0 + 2*x^53*z0 - x^50*z0^3 + x^51*z0 - 2*x^50*z0 + x^47*z0^3 - x^48*z0 + 2*x^47*z0 - x^44*z0^3 + x^45*z0 - 2*x^44*z0 - 2*x^41*z0^3 + 2*x^39*y*z0^4 - x^42*z0 + x^40*y*z0^2 + 2*x^40*z0^3 + x^38*y*z0^4 + 2*x^41*z0 + x^39*z0^3 + x^37*y*z0^4 - x^38*y*z0^2 - x^38*z0^3 - 2*x^36*y*z0^4 - 2*x^39*y - 2*x^39*z0 + x^37*y*z0^2 - 2*x^37*z0^3 - x^38*y - x^38*z0 + 2*x^36*y*z0^2 + 2*x^36*z0^3 - x^34*y*z0^4 + 2*x^35*z0^3 - 2*x^33*y*z0^4 - x^36*y - 2*x^36*z0 + 2*x^34*z0^3 - x^35*y + 2*x^35*z0 - 2*x^33*y*z0^2 + x^31*y*z0^4 - x^34*z0 + x^32*y*z0^2 - 2*x^32*z0^3 - 2*x^30*y*z0^4 - x^33*z0 + x^31*z0^3 + 2*x^29*y*z0^4 - x^32*y - 2*x^32*z0 - x^30*z0^3 + x^28*y*z0^4 + 2*x^31*y - 2*x^27*y*z0^4 + x^30*z0 - 2*x^28*y*z0^2 - x^28*z0^3 + 2*x^26*y*z0^4 - x^29*y - 2*x^29*z0 + 2*x^27*y*z0^2 - x^27*z0^3 + 2*x^25*y*z0^4 + 2*x^26*y*z0^2 + 2*x^26*z0^3 + 2*x^24*y*z0^4 - x^27*y + 2*x^27*z0 + 2*x^25*y*z0^2 + 2*x^25*z0^3 + x^23*y*z0^4 - 2*x^26*z0 + 2*x^24*y*z0^2 - 2*x^24*z0^3 - x^22*y*z0^4 + 2*x^25*y - 2*x^25*z0 - 2*x^23*y*z0^2 - 2*x^23*z0^3 - 2*x^21*y*z0^4 - x^24*y - 2*x^22*y*z0^2 - 2*x^22*z0^3 - 2*x^23*y - x^23*z0 - 2*x^21*y*z0^2 - x^19*y*z0^4 + 2*x^22*y + 2*x^22*z0 + x^20*y*z0^2 - x^18*y*z0^4 + 2*x^21*y + 2*x^21*z0 + 2*x^19*y*z0^2 + x^19*z0^3 + x^17*y*z0^4 + x^20*z0 + 2*x^18*y*z0^2 - x^18*z0^3 - x^16*y*z0^4 - x^19*y + 2*x^19*z0 - 2*x^17*y*z0^2 - 2*x^17*z0^3 + x^15*y*z0^4 - x^18*y - x^18*z0 - x^16*z0^3 + x^14*y*z0^4 + 2*x^17*y + 2*x^17*z0 + x^15*y*z0^2 - x^13*y*z0^4 + x^16*y - x^16*z0 - 2*x^14*z0^3 + x^15*y + 2*x^15*z0 - x^13*y*z0^2 - x^13*z0^3 - 2*x^11*y*z0^4 - 2*x^14*y + 2*x^14*z0 - x^12*y*z0^2 - x^12*z0^3 - 2*x^10*y*z0^4 - 2*x^13*y - x^13*z0 + x^11*y*z0^2 - 2*x^11*z0^3 - 2*x^9*y*z0^4 + x^12*y + 2*x^12*z0 + x^10*z0^3 - x^11*z0 + x^9*y*z0^2 + x^9*z0^3 - 2*x^7*y*z0^4 - 2*x^10*y + x^8*z0^3 - 2*x^6*y*z0^4 - x^9*y - 2*x^9*z0 + 2*x^7*y*z0^2 + 2*x^7*z0^3 - 2*x^5*y*z0^4 - x^8*y - 2*x^8*z0 + 2*x^6*y*z0^2 + 2*x^4*y*z0^4 + 2*x^7*y + 2*x^5*y*z0^2 - 2*x^5*z0^3 + x^3*y*z0^4 - 2*x^6*y + 2*x^6*z0 + 2*x^4*y*z0^2 - x^4*z0^3 - 2*x^2*y*z0^4 + 2*x^5*y + 2*x^5*z0 - x^3*y*z0^2 + x^3*z0^3 + 2*x^4*y - 2*x^4*z0 - 2*x^2*y*z0^2 - 2*x^3*y - 2*x^3*z0 - x^2*z0)/y) * dx,
+ ((2*x^61*z0^4 + x^60*z0^4 - 2*x^58*y^2*z0^4 + 2*x^59*z0^4 - x^57*y^2*z0^4 + 2*x^60*z0^2 - 2*x^58*z0^4 - 2*x^56*y^2*z0^4 + x^61 - 2*x^57*y^2*z0^2 - x^57*z0^4 + x^60 - x^58*y^2 - 2*x^56*z0^4 - x^57*y^2 - 2*x^57*z0^2 + 2*x^55*z0^4 - x^58 - x^56*z0^2 + x^54*z0^4 - x^57 + x^53*y^2*z0^2 + 2*x^53*z0^4 + 2*x^54*z0^2 - 2*x^52*z0^4 + x^55 + x^53*z0^2 - x^51*z0^4 + x^54 - 2*x^50*z0^4 - 2*x^51*z0^2 + 2*x^49*z0^4 - x^52 - x^50*z0^2 + x^48*z0^4 - x^51 + 2*x^47*z0^4 + 2*x^48*z0^2 - 2*x^46*z0^4 + x^49 + x^47*z0^2 - x^45*z0^4 + x^48 - 2*x^44*z0^4 - 2*x^45*z0^2 + 2*x^43*z0^4 - x^46 - x^44*z0^2 + x^42*z0^4 - x^45 + 2*x^41*z0^4 + 2*x^42*z0^2 + x^40*y*z0^3 + 2*x^40*z0^4 + x^43 + x^41*z0^2 + 2*x^39*z0^4 + x^42 - x^40*z0^2 + 2*x^38*y*z0^3 - 2*x^39*y*z0 - 2*x^39*z0^2 - x^37*y*z0^3 - x^37*z0^4 + 2*x^40 + x^38*y*z0 - x^38*z0^2 - 2*x^36*z0^4 - x^39 + 2*x^37*y*z0 + 2*x^37*z0^2 - 2*x^35*y*z0^3 - x^35*z0^4 - x^38 + x^36*y*z0 - x^34*y*z0^3 + 2*x^34*z0^4 - 2*x^37 - 2*x^35*z0^2 + 2*x^33*y*z0^3 + 2*x^33*z0^4 + x^36 + 2*x^34*y*z0 - x^34*z0^2 + 2*x^32*z0^4 + 2*x^33*y*z0 - 2*x^31*y*z0^3 + 2*x^34 + 2*x^32*y*z0 + 2*x^30*y*z0^3 - 2*x^33 + 2*x^31*y*z0 + 2*x^31*z0^2 + 2*x^29*y*z0^3 - 2*x^32 + 2*x^30*y*z0 + x^30*z0^2 - x^28*y*z0^3 - 2*x^28*z0^4 - x^29*y*z0 - x^29*z0^2 + 2*x^27*y*z0^3 - x^27*z0^4 - x^30 - x^28*y*z0 + 2*x^28*z0^2 - 2*x^26*y*z0^3 - x^26*z0^4 + x^27*y*z0 - x^27*z0^2 - 2*x^25*z0^4 - 2*x^28 - x^26*y*z0 + x^24*y*z0^3 + x^24*z0^4 + 2*x^27 + x^23*y*z0^3 + x^23*z0^4 - 2*x^26 + x^24*y*z0 + 2*x^24*z0^2 - x^22*y*z0^3 + x^22*z0^4 + x^25 - x^23*z0^2 - x^21*y*z0^3 - x^21*z0^4 - x^24 - 2*x^20*y*z0^3 - x^20*z0^4 - 2*x^23 + 2*x^21*y*z0 - 2*x^21*z0^2 - x^19*y*z0^3 + 2*x^19*z0^4 + 2*x^22 + 2*x^20*z0^2 - x^18*y*z0^3 - x^18*z0^4 + 2*x^21 + x^19*y*z0 - x^19*z0^2 + 2*x^17*y*z0^3 + x^17*z0^4 - x^20 - x^18*z0^2 + x^16*y*z0^3 + x^16*z0^4 + 2*x^19 - x^17*z0^2 - x^15*y*z0^3 + 2*x^15*z0^4 + x^18 + 2*x^16*y*z0 + x^16*z0^2 + 2*x^14*y*z0^3 + 2*x^14*z0^4 + x^17 - 2*x^15*y*z0 + 2*x^15*z0^2 - x^13*y*z0^3 - 2*x^13*z0^4 + 2*x^16 + x^14*y*z0 + x^14*z0^2 - x^12*y*z0^3 + x^12*z0^4 + x^15 + x^13*z0^2 - 2*x^11*y*z0^3 + 2*x^11*z0^4 + 2*x^14 + x^12*y*z0 + x^10*y*z0^3 - x^13 + x^11*y*z0 - 2*x^11*z0^2 - x^9*y*z0^3 - 2*x^9*z0^4 + 2*x^12 - x^10*y*z0 - 2*x^10*z0^2 - 2*x^8*y*z0^3 - 2*x^11 - 2*x^9*y*z0 + x^9*z0^2 - x^7*y*z0^3 - 2*x^7*z0^4 - x^10 - 2*x^8*z0^2 - x^6*y*z0^3 - x^6*z0^4 - x^9 - 2*x^7*y*z0 - x^5*y*z0^3 - x^5*z0^4 - x^6*y*z0 + x^4*y*z0^3 - x^4*z0^4 - 2*x^7 - x^5*z0^2 - 2*x^3*z0^4 + 2*x^4*y*z0 - x^4*z0^2 + x^2*y*z0^3 + 2*x^2*z0^4 + 2*x^5 + 2*x^3*y*z0 + 2*x^3*z0^2 - 2*x^2*y*z0 + 2*x^2*z0^2 + x^3 - x^2)/y) * dx,
+ ((-2*x^61*z0^3 - x^60*z0^3 + 2*x^58*y^2*z0^3 + 2*x^61*z0 + 2*x^59*z0^3 + x^57*y^2*z0^3 + 2*x^60*z0 - 2*x^58*y^2*z0 + x^58*z0^3 - 2*x^56*y^2*z0^3 + 2*x^59*z0 - 2*x^57*y^2*z0 + x^55*y^2*z0^3 - 2*x^58*z0 - 2*x^56*y^2*z0 + 2*x^56*z0^3 + x^54*y^2*z0^3 - 2*x^57*z0 - x^55*z0^3 + x^53*y^2*z0^3 - 2*x^56*z0 + 2*x^55*z0 - 2*x^53*z0^3 + 2*x^54*z0 + x^52*z0^3 + 2*x^53*z0 - 2*x^52*z0 + 2*x^50*z0^3 - 2*x^51*z0 - x^49*z0^3 - 2*x^50*z0 + 2*x^49*z0 - 2*x^47*z0^3 + 2*x^48*z0 + x^46*z0^3 + 2*x^47*z0 - 2*x^46*z0 + 2*x^44*z0^3 - 2*x^45*z0 - x^43*z0^3 - 2*x^44*z0 + 2*x^43*z0 + x^41*z0^3 - 2*x^39*y*z0^4 + 2*x^42*z0 - x^40*y*z0^2 + x^40*z0^3 + 2*x^38*y*z0^4 - x^41*z0 + 2*x^39*y*z0^2 - 2*x^39*z0^3 - x^37*y*z0^4 + x^40*y + 2*x^40*z0 - 2*x^38*y*z0^2 - 2*x^36*y*z0^4 - 2*x^37*z0^3 + 2*x^35*y*z0^4 - x^38*y - x^38*z0 + x^36*z0^3 + 2*x^37*y - 2*x^37*z0 + x^35*y*z0^2 - x^35*z0^3 - 2*x^33*y*z0^4 + x^36*z0 - x^32*y*z0^4 + 2*x^35*y + 2*x^35*z0 - 2*x^33*y*z0^2 - x^33*z0^3 + x^31*y*z0^4 + 2*x^34*y - x^34*z0 - x^32*y*z0^2 - x^32*z0^3 + x^30*y*z0^4 - 2*x^33*y - x^31*y*z0^2 - 2*x^31*z0^3 + 2*x^29*y*z0^4 + x^32*y - 2*x^30*y*z0^2 + x^28*y*z0^4 + x^31*y - x^31*z0 - x^29*y*z0^2 + x^27*y*z0^4 + 2*x^30*y + 2*x^30*z0 - 2*x^28*y*z0^2 + 2*x^28*z0^3 - 2*x^29*z0 - 2*x^27*y*z0^2 - 2*x^27*z0^3 + x^25*y*z0^4 + x^28*z0 - x^26*y*z0^2 + x^24*y*z0^4 - x^27*y - x^25*y*z0^2 - x^25*z0^3 - x^23*y*z0^4 - 2*x^26*z0 - 2*x^24*y*z0^2 + 2*x^24*z0^3 + x^22*y*z0^4 + x^25*y - 2*x^23*z0^3 - x^21*y*z0^4 + 2*x^24*y + 2*x^22*y*z0^2 - 2*x^22*z0^3 - x^20*y*z0^4 + x^23*y + x^21*y*z0^2 + 2*x^21*z0^3 - x^19*y*z0^4 + x^22*y - 2*x^20*y*z0^2 + x^20*z0^3 + 2*x^18*y*z0^4 - 2*x^21*y - 2*x^19*y*z0^2 + 2*x^19*z0^3 - x^17*y*z0^4 + x^18*y*z0^2 - x^18*z0^3 - 2*x^16*y*z0^4 + 2*x^19*y - x^19*z0 + x^17*y*z0^2 - x^17*z0^3 + 2*x^18*y + 2*x^16*y*z0^2 - x^16*z0^3 + 2*x^15*y*z0^2 + 2*x^15*z0^3 + x^13*y*z0^4 - 2*x^16*y - 2*x^14*y*z0^2 + 2*x^14*z0^3 - 2*x^12*y*z0^4 - x^15*z0 + 2*x^13*y*z0^2 + x^13*z0^3 + x^14*z0 - 2*x^12*z0^3 - x^10*y*z0^4 - 2*x^13*y - 2*x^13*z0 - x^11*y*z0^2 - 2*x^11*z0^3 + 2*x^9*y*z0^4 - x^12*y - 2*x^12*z0 + x^10*y*z0^2 - x^10*z0^3 - x^11*y - x^11*z0 + x^9*y*z0^2 - x^9*z0^3 + x^10*y + 2*x^10*z0 - 2*x^8*y*z0^2 - 2*x^8*z0^3 - x^9*y + x^9*z0 - 2*x^8*y - x^8*z0 + 2*x^6*y*z0^2 + 2*x^6*z0^3 - 2*x^7*y - x^5*y*z0^2 + x^5*z0^3 + 2*x^3*y*z0^4 + x^6*y + 2*x^6*z0 - 2*x^4*y*z0^2 + 2*x^4*z0^3 - 2*x^5*y + 2*x^3*z0^3 - 2*x^4*y + x^4*z0 + x^2*y*z0^2 + x^3*y - 2*x^2*y - 2*x^2*z0)/y) * dx,
+ ((2*x^60*z0^4 - 2*x^61*z0^2 - 2*x^57*y^2*z0^4 + 2*x^58*y^2*z0^2 - 2*x^57*z0^4 + 2*x^58*z0^2 - x^56*z0^4 + x^53*y^2*z0^4 + 2*x^54*z0^4 - 2*x^55*z0^2 + x^53*z0^4 - 2*x^51*z0^4 + 2*x^52*z0^2 - x^50*z0^4 + 2*x^48*z0^4 - 2*x^49*z0^2 + x^47*z0^4 - 2*x^45*z0^4 + 2*x^46*z0^2 - x^44*z0^4 + 2*x^42*z0^4 - 2*x^43*z0^2 + x^41*z0^4 + 2*x^40*z0^4 - 2*x^41*z0^2 - 2*x^39*y*z0^3 - 2*x^39*z0^4 - x^40*y*z0 - 2*x^40*z0^2 - x^38*z0^4 + x^39*y*z0 + 2*x^39*z0^2 - x^37*y*z0^3 + x^37*z0^4 + x^40 - 2*x^38*y*z0 + x^38*z0^2 - x^36*y*z0^3 - x^39 + 2*x^37*y*z0 + x^37*z0^2 + x^35*y*z0^3 + x^35*z0^4 - x^36*y*z0 - 2*x^36*z0^2 - 2*x^37 + 2*x^35*y*z0 + x^33*y*z0^3 - 2*x^33*z0^4 - 2*x^34*z0^2 + 2*x^32*y*z0^3 + x^32*z0^4 - 2*x^33*y*z0 - x^33*z0^2 + 2*x^31*y*z0^3 + x^31*z0^4 + 2*x^34 - x^32*y*z0 + x^32*z0^2 - x^30*y*z0^3 - x^33 + x^29*y*z0^3 + x^28*z0^4 + x^29*y*z0 - 2*x^29*z0^2 + x^27*y*z0^3 + x^28*y*z0 - 2*x^28*z0^2 + 2*x^26*y*z0^3 + x^26*z0^4 + x^29 - 2*x^25*y*z0^3 + 2*x^25*z0^4 + 2*x^28 + 2*x^26*y*z0 + x^26*z0^2 + 2*x^24*z0^4 - 2*x^27 + 2*x^25*z0^2 - 2*x^23*z0^4 + 2*x^24*z0^2 - 2*x^22*y*z0^3 - 2*x^22*z0^4 + x^23*y*z0 - 2*x^21*y*z0^3 - 2*x^24 + 2*x^22*y*z0 - x^22*z0^2 - x^20*z0^4 + x^23 - 2*x^21*y*z0 - x^19*y*z0^3 - 2*x^19*z0^4 + x^22 - 2*x^20*z0^2 - x^18*y*z0^3 - 2*x^21 + 2*x^19*y*z0 - 2*x^19*z0^2 - x^17*y*z0^3 + x^17*z0^4 + 2*x^18*z0^2 + x^16*y*z0^3 - x^16*z0^4 + 2*x^19 - x^17*y*z0 + x^15*y*z0^3 - x^15*z0^4 + x^16*y*z0 + x^16*z0^2 + x^14*y*z0^3 - x^14*z0^4 - 2*x^17 - x^15*y*z0 + x^15*z0^2 + 2*x^13*z0^4 + 2*x^16 - 2*x^14*y*z0 + x^14*z0^2 - 2*x^12*y*z0^3 + 2*x^13*y*z0 - 2*x^13*z0^2 + x^11*y*z0^3 + 2*x^11*z0^4 - x^14 + x^12*y*z0 - 2*x^10*y*z0^3 - x^13 + x^11*y*z0 + x^11*z0^2 + 2*x^9*y*z0^3 - 2*x^9*z0^4 + x^12 - 2*x^10*y*z0 - x^8*z0^4 - x^9*y*z0 - x^9*z0^2 + 2*x^7*z0^4 - x^10 + 2*x^8*y*z0 + x^8*z0^2 + 2*x^6*z0^4 - x^7*z0^2 + 2*x^5*y*z0^3 - x^5*z0^4 + 2*x^8 + 2*x^6*y*z0 + 2*x^6*z0^2 + x^4*z0^4 - x^7 - 2*x^5*z0^2 - x^3*y*z0^3 - x^3*z0^4 - 2*x^4*y*z0 + 2*x^4*z0^2 - x^2*y*z0^3 + 2*x^2*z0^4 + x^3*y*z0 - 2*x^3*z0^2 - x^2*y*z0 + x^2*z0^2 + 2*x^2)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((x^61*z0^4 - 2*x^60*z0^4 - x^58*y^2*z0^4 - x^61*z0^2 + 2*x^59*z0^4 + 2*x^57*y^2*z0^4 + 2*x^60*z0^2 + x^58*y^2*z0^2 - x^58*z0^4 - 2*x^56*y^2*z0^4 + x^61 - 2*x^57*y^2*z0^2 + 2*x^57*z0^4 - x^58*y^2 + x^58*z0^2 - 2*x^56*z0^4 - 2*x^57*z0^2 + x^55*z0^4 - x^58 - 2*x^54*z0^4 - x^57 - x^55*z0^2 + 2*x^53*z0^4 + x^54*y^2 + 2*x^54*z0^2 - x^52*z0^4 + x^55 + 2*x^51*z0^4 + x^54 + x^52*z0^2 - 2*x^50*z0^4 - 2*x^51*z0^2 + x^49*z0^4 - x^52 - 2*x^48*z0^4 - x^51 - x^49*z0^2 + 2*x^47*z0^4 + 2*x^48*z0^2 - x^46*z0^4 + x^49 + 2*x^45*z0^4 + x^48 + x^46*z0^2 - 2*x^44*z0^4 - 2*x^45*z0^2 + x^43*z0^4 - x^46 - 2*x^42*z0^4 - x^45 - x^43*z0^2 + x^41*z0^4 + 2*x^42*z0^2 - 2*x^40*y*z0^3 - 2*x^40*z0^4 + x^43 - x^41*z0^2 - x^39*y*z0^3 - x^39*z0^4 + x^42 + 2*x^40*y*z0 + x^40*z0^2 + x^38*y*z0^3 - 2*x^38*z0^4 - x^41 + 2*x^39*y*z0 - x^39*z0^2 + x^37*z0^4 - 2*x^38*z0^2 + 2*x^36*y*z0^3 + x^36*z0^4 + 2*x^39 + x^37*z0^2 + x^35*y*z0^3 + 2*x^38 - x^36*y*z0 + x^36*z0^2 + 2*x^34*y*z0^3 - x^34*z0^4 - 2*x^37 - x^35*y*z0 + x^33*y*z0^3 + x^33*z0^4 - 2*x^34*y*z0 + 2*x^34*z0^2 - x^32*y*z0^3 + 2*x^35 - x^33*y*z0 + x^31*z0^4 - x^34 - x^32*y*z0 - x^32*z0^2 - 2*x^30*y*z0^3 + 2*x^33 - 2*x^31*y*z0 - 2*x^31*z0^2 - x^29*y*z0^3 + x^29*z0^4 - x^32 + 2*x^30*y*z0 + 2*x^30*z0^2 - x^28*z0^4 + x^31 + x^29*y*z0 - x^29*z0^2 + x^27*y*z0^3 - x^26*y*z0^3 - 2*x^26*z0^4 + x^29 + 2*x^27*y*z0 + 2*x^27*z0^2 + 2*x^25*y*z0^3 + x^25*z0^4 + x^28 - x^26*y*z0 - x^26*z0^2 - x^24*y*z0^3 + x^24*z0^4 + x^27 + x^25*y*z0 - x^23*z0^4 + x^26 + 2*x^22*y*z0^3 - 2*x^25 - x^23*y*z0 + x^23*z0^2 + 2*x^21*y*z0^3 - 2*x^21*z0^4 - x^24 + x^21*y*z0 + 2*x^21*z0^2 + x^19*y*z0^3 - x^22 - 2*x^20*y*z0 - 2*x^20*z0^2 - 2*x^18*y*z0^3 - 2*x^18*z0^4 + x^21 + x^19*z0^2 + 2*x^17*y*z0^3 + 2*x^17*z0^4 - x^18*y*z0 + 2*x^18*z0^2 + x^16*y*z0^3 - x^16*z0^4 - x^19 - 2*x^17*y*z0 + 2*x^15*z0^4 + 2*x^16*y*z0 + x^16*z0^2 - x^14*y*z0^3 - 2*x^14*z0^4 - 2*x^17 - 2*x^15*y*z0 + 2*x^15*z0^2 - 2*x^13*y*z0^3 - x^14*z0^2 + x^12*y*z0^3 + x^12*z0^4 - 2*x^15 - 2*x^13*y*z0 + 2*x^11*y*z0^3 - 2*x^11*z0^4 - x^12*y*z0 - x^12*z0^2 + 2*x^10*z0^4 - 2*x^11*y*z0 + 2*x^9*z0^4 - 2*x^10*y*z0 - 2*x^10*z0^2 + x^8*z0^4 + x^11 + x^9*y*z0 - x^9*z0^2 + x^7*y*z0^3 + x^7*z0^4 - 2*x^10 + 2*x^8*y*z0 - x^6*z0^4 + x^9 - x^7*y*z0 - x^7*z0^2 + x^5*z0^4 + x^8 - x^6*y*z0 - x^6*z0^2 + 2*x^4*z0^4 + 2*x^7 - 2*x^5*y*z0 - 2*x^5*z0^2 + x^3*y*z0^3 + x^4*y*z0 + 2*x^4*z0^2 - 2*x^2*y*z0^3 + x^2*z0^4 + 2*x^5 + x^3*z0^2 - x^2*y*z0 + x^2*z0^2 - 2*x^2)/y) * dx,
+ ((x^61*z0^3 - 2*x^60*z0^3 - x^58*y^2*z0^3 - 2*x^61*z0 + x^59*z0^3 + 2*x^57*y^2*z0^3 + x^60*z0 + 2*x^58*y^2*z0 - 2*x^58*z0^3 - x^56*y^2*z0^3 - 2*x^59*z0 - x^57*y^2*z0 + 2*x^57*z0^3 + x^55*y^2*z0^3 + 2*x^58*z0 + 2*x^56*y^2*z0 - x^56*z0^3 - 2*x^57*z0 + 2*x^55*z0^3 + 2*x^56*z0 + x^54*y^2*z0 - 2*x^54*z0^3 - 2*x^55*z0 + x^53*z0^3 + 2*x^54*z0 - 2*x^52*z0^3 - 2*x^53*z0 + 2*x^51*z0^3 + 2*x^52*z0 - x^50*z0^3 - 2*x^51*z0 + 2*x^49*z0^3 + 2*x^50*z0 - 2*x^48*z0^3 - 2*x^49*z0 + x^47*z0^3 + 2*x^48*z0 - 2*x^46*z0^3 - 2*x^47*z0 + 2*x^45*z0^3 + 2*x^46*z0 - x^44*z0^3 - 2*x^45*z0 + 2*x^43*z0^3 + 2*x^44*z0 - 2*x^42*z0^3 - 2*x^43*z0 + 2*x^41*z0^3 + x^39*y*z0^4 + 2*x^42*z0 - 2*x^40*y*z0^2 - 2*x^40*z0^3 + x^38*y*z0^4 + x^41*z0 - 2*x^39*y*z0^2 + x^39*z0^3 - 2*x^37*y*z0^4 - x^40*y + x^40*z0 + 2*x^38*z0^3 + x^39*z0 + 2*x^37*y*z0^2 + 2*x^37*z0^3 + x^38*z0 + 2*x^36*z0^3 + 2*x^34*y*z0^4 - 2*x^37*y + 2*x^37*z0 - x^35*z0^3 + x^33*y*z0^4 - x^36*y - 2*x^36*z0 - x^34*y*z0^2 - 2*x^34*z0^3 - 2*x^35*z0 - 2*x^33*y*z0^2 - x^33*z0^3 - 2*x^31*y*z0^4 + x^34*y + x^34*z0 - x^32*y*z0^2 + 2*x^32*z0^3 - x^33*y + x^33*z0 + x^29*y*z0^4 + 2*x^32*y + 2*x^32*z0 - x^30*y*z0^2 + x^30*z0^3 - x^28*y*z0^4 + 2*x^31*y - x^31*z0 - x^29*z0^3 + x^27*y*z0^4 - 2*x^30*z0 + 2*x^28*y*z0^2 + x^26*y*z0^4 - 2*x^29*z0 + x^27*y*z0^2 + 2*x^25*y*z0^4 + x^28*y + x^28*z0 + x^26*y*z0^2 - 2*x^24*y*z0^4 - 2*x^27*y - x^27*z0 + 2*x^23*y*z0^4 - x^26*y + 2*x^26*z0 + 2*x^24*z0^3 + x^22*y*z0^4 + x^25*y + 2*x^25*z0 + 2*x^23*y*z0^2 + x^23*z0^3 - x^21*y*z0^4 - x^24*y + x^24*z0 - 2*x^22*y*z0^2 - x^20*y*z0^4 + x^23*y - x^23*z0 - 2*x^19*y*z0^4 - 2*x^22*y - x^22*z0 - x^20*y*z0^2 - 2*x^20*z0^3 + x^18*y*z0^4 - 2*x^21*y - 2*x^21*z0 + x^19*y*z0^2 - 2*x^19*z0^3 - x^17*y*z0^4 - x^20*y + x^20*z0 + 2*x^18*y*z0^2 + x^18*z0^3 + 2*x^16*y*z0^4 + 2*x^19*y - 2*x^19*z0 - 2*x^17*y*z0^2 + 2*x^17*z0^3 - 2*x^15*y*z0^4 - 2*x^18*y - 2*x^18*z0 - x^16*y*z0^2 - x^16*z0^3 - x^14*y*z0^4 - 2*x^15*y*z0^2 + x^15*z0^3 + x^13*y*z0^4 - x^16*y - 2*x^14*z0^3 - 2*x^12*y*z0^4 - 2*x^15*y + 2*x^15*z0 + 2*x^13*y*z0^2 - x^13*z0^3 + x^14*y + x^14*z0 - x^12*y*z0^2 - x^10*y*z0^4 + x^13*z0 - x^11*y*z0^2 + 2*x^9*y*z0^4 + x^12*y - 2*x^12*z0 + 2*x^10*y*z0^2 - x^10*z0^3 + x^8*y*z0^4 + x^11*y - 2*x^9*y*z0^2 + 2*x^9*z0^3 + 2*x^10*y + x^10*z0 + 2*x^8*y*z0^2 + x^8*z0^3 - 2*x^6*y*z0^4 - 2*x^9*y - 2*x^9*z0 + x^7*y*z0^2 - x^7*z0^3 - 2*x^8*y - 2*x^8*z0 - 2*x^6*y*z0^2 - x^6*z0^3 - x^4*y*z0^4 + 2*x^7*y + 2*x^7*z0 - x^5*y*z0^2 + x^3*y*z0^4 - x^6*y - 2*x^4*y*z0^2 + x^4*z0^3 - 2*x^2*y*z0^4 - x^5*y + x^5*z0 + 2*x^3*z0^3 + 2*x^4*y + x^4*z0 - 2*x^2*z0^3 + x^3*y + 2*x^2*y)/y) * dx,
+ ((x^61*z0^4 - x^60*z0^4 - x^58*y^2*z0^4 + 2*x^61*z0^2 - x^59*z0^4 + x^57*y^2*z0^4 - 2*x^60*z0^2 - 2*x^58*y^2*z0^2 - x^58*z0^4 + x^56*y^2*z0^4 + 2*x^61 + 2*x^57*y^2*z0^2 + x^57*z0^4 - x^60 - 2*x^58*y^2 - 2*x^58*z0^2 + x^56*z0^4 + x^57*y^2 + x^57*z0^2 + x^55*z0^4 - 2*x^58 + x^54*y^2*z0^2 - x^54*z0^4 + x^57 + 2*x^55*z0^2 - x^53*z0^4 - x^54*z0^2 - x^52*z0^4 + 2*x^55 + x^51*z0^4 - x^54 - 2*x^52*z0^2 + x^50*z0^4 + x^51*z0^2 + x^49*z0^4 - 2*x^52 - x^48*z0^4 + x^51 + 2*x^49*z0^2 - x^47*z0^4 - x^48*z0^2 - x^46*z0^4 + 2*x^49 + x^45*z0^4 - x^48 - 2*x^46*z0^2 + x^44*z0^4 + x^45*z0^2 + x^43*z0^4 - 2*x^46 - x^42*z0^4 + x^45 + 2*x^43*z0^2 + x^41*z0^4 - x^42*z0^2 - 2*x^40*y*z0^3 + x^40*z0^4 + 2*x^43 + 2*x^41*z0^2 + 2*x^39*y*z0^3 - x^39*z0^4 - x^42 + x^40*y*z0 - 2*x^40*z0^2 - x^38*y*z0^3 - x^38*z0^4 + 2*x^41 + x^39*y*z0 - x^39*z0^2 - x^37*y*z0^3 + x^37*z0^4 + 2*x^40 + x^38*y*z0 - x^38*z0^2 + x^36*y*z0^3 - x^36*z0^4 + 2*x^39 + x^37*z0^2 - 2*x^35*y*z0^3 + 2*x^38 - 2*x^36*y*z0 + x^36*z0^2 - x^34*y*z0^3 - 2*x^37 - 2*x^35*y*z0 - 2*x^35*z0^2 - x^33*y*z0^3 - 2*x^33*z0^4 + 2*x^36 + 2*x^34*y*z0 - x^32*y*z0^3 - x^32*z0^4 + x^33*y*z0 + x^33*z0^2 - 2*x^31*y*z0^3 - 2*x^34 - x^32*y*z0 - 2*x^32*z0^2 - x^30*y*z0^3 + x^30*z0^4 + 2*x^31*y*z0 - x^29*y*z0^3 + 2*x^29*z0^4 - 2*x^30*z0^2 - 2*x^28*y*z0^3 + 2*x^28*z0^4 + 2*x^29*y*z0 - x^29*z0^2 + x^27*y*z0^3 + x^27*z0^4 + 2*x^30 + 2*x^28*z0^2 + 2*x^26*y*z0^3 + 2*x^26*z0^4 - 2*x^29 - x^27*y*z0 - x^27*z0^2 + x^25*y*z0^3 - 2*x^25*z0^4 + 2*x^28 + x^26*y*z0 - 2*x^24*y*z0^3 - x^24*z0^4 - 2*x^27 + x^25*y*z0 - x^25*z0^2 - x^23*y*z0^3 - x^23*z0^4 + x^26 - x^24*z0^2 + x^22*y*z0^3 - x^22*z0^4 + x^25 - 2*x^23*y*z0 + 2*x^21*y*z0^3 - 2*x^24 - x^22*y*z0 + 2*x^22*z0^2 + 2*x^20*y*z0^3 + 2*x^20*z0^4 - x^21*y*z0 - x^21*z0^2 - 2*x^19*y*z0^3 + x^19*z0^4 + 2*x^22 + 2*x^20*z0^2 - 2*x^18*y*z0^3 + 2*x^18*z0^4 - x^21 - 2*x^19*y*z0 - x^19*z0^2 - x^17*y*z0^3 + 2*x^17*z0^4 - x^20 + x^18*y*z0 - x^18*z0^2 + x^16*y*z0^3 - x^16*z0^4 + x^17*y*z0 + x^17*z0^2 + x^15*y*z0^3 - x^15*z0^4 - 2*x^16*z0^2 - 2*x^14*y*z0^3 + x^14*z0^4 + 2*x^17 - 2*x^15*y*z0 + 2*x^15*z0^2 + x^13*y*z0^3 - 2*x^13*z0^4 + x^16 + 2*x^14*y*z0 - x^14*z0^2 - x^12*y*z0^3 - 2*x^12*z0^4 - 2*x^15 + x^13*y*z0 + 2*x^13*z0^2 - x^11*y*z0^3 - 2*x^11*z0^4 + 2*x^12*y*z0 - x^10*y*z0^3 + x^10*z0^4 + 2*x^13 + 2*x^11*y*z0 - 2*x^11*z0^2 + 2*x^9*y*z0^3 - 2*x^12 + 2*x^10*z0^2 + x^8*y*z0^3 - x^8*z0^4 - 2*x^11 - x^9*z0^2 + x^7*y*z0^3 - x^7*z0^4 + x^10 - x^8*z0^2 - x^6*y*z0^3 + x^6*z0^4 - 2*x^9 + 2*x^7*z0^2 + 2*x^5*y*z0^3 + 2*x^5*z0^4 - x^8 - 2*x^6*z0^2 - x^4*y*z0^3 + 2*x^4*z0^4 - x^7 + 2*x^5*y*z0 - x^5*z0^2 - 2*x^6 + 2*x^4*y*z0 + 2*x^4*z0^2 + 2*x^2*y*z0^3 + 2*x^2*z0^4 + 2*x^5 + 2*x^3*y*z0 + 2*x^3*z0^2 - x^2*y*z0 - x^3 + 2*x^2)/y) * dx,
+ ((x^61*z0^4 - x^58*y^2*z0^4 - x^60*z0^2 - x^58*z0^4 + 2*x^61 + x^57*y^2*z0^2 - x^57*z0^4 - 2*x^60 - 2*x^58*y^2 + x^54*y^2*z0^4 + 2*x^57*y^2 + x^57*z0^2 + x^55*z0^4 - 2*x^58 + x^54*z0^4 + 2*x^57 - x^54*z0^2 - x^52*z0^4 + 2*x^55 - x^51*z0^4 - 2*x^54 + x^51*z0^2 + x^49*z0^4 - 2*x^52 + x^48*z0^4 + 2*x^51 - x^48*z0^2 - x^46*z0^4 + 2*x^49 - x^45*z0^4 - 2*x^48 + x^45*z0^2 + x^43*z0^4 - 2*x^46 + x^42*z0^4 + 2*x^45 + 2*x^41*z0^4 - x^42*z0^2 - 2*x^40*y*z0^3 - x^40*z0^4 + 2*x^43 + 2*x^39*z0^4 - 2*x^42 - x^40*z0^2 - 2*x^38*y*z0^3 - x^38*z0^4 + 2*x^41 - x^39*y*z0 + x^39*z0^2 - x^37*y*z0^3 + 2*x^40 + x^38*y*z0 - x^39 - 2*x^37*z0^2 + 2*x^35*y*z0^3 + x^35*z0^4 - x^38 - x^36*z0^2 - x^34*y*z0^3 + 2*x^34*z0^4 - 2*x^37 - 2*x^35*y*z0 - x^35*z0^2 + x^33*y*z0^3 - 2*x^33*z0^4 + x^34*y*z0 + x^34*z0^2 - 2*x^35 - x^33*z0^2 + 2*x^31*y*z0^3 + 2*x^31*z0^4 + x^34 + x^32*y*z0 + 2*x^32*z0^2 + 2*x^30*y*z0^3 - 2*x^30*z0^4 - 2*x^33 - x^31*y*z0 + 2*x^31*z0^2 - x^29*y*z0^3 - x^29*z0^4 + 2*x^30*z0^2 - 2*x^28*y*z0^3 + 2*x^28*z0^4 - 2*x^31 - 2*x^29*y*z0 + 2*x^29*z0^2 + x^27*y*z0^3 - x^30 - 2*x^28*y*z0 - 2*x^26*y*z0^3 + x^26*z0^4 - x^29 - 2*x^27*y*z0 - x^27*z0^2 - x^25*y*z0^3 - 2*x^28 + x^26*y*z0 - 2*x^24*y*z0^3 - 2*x^27 - 2*x^25*y*z0 + x^25*z0^2 - x^23*y*z0^3 - 2*x^23*z0^4 - x^26 - 2*x^24*y*z0 + x^24*z0^2 - 2*x^22*y*z0^3 + 2*x^22*z0^4 + 2*x^25 - x^23*y*z0 - 2*x^23*z0^2 + x^21*y*z0^3 - x^21*z0^4 + x^24 - 2*x^22*y*z0 - 2*x^20*z0^4 + 2*x^23 + x^21*y*z0 - 2*x^21*z0^2 - 2*x^19*z0^4 - 2*x^22 - 2*x^20*y*z0 + 2*x^20*z0^2 - x^18*y*z0^3 + x^18*z0^4 - x^21 - x^19*y*z0 - x^19*z0^2 + 2*x^17*z0^4 - x^20 + x^18*y*z0 + 2*x^16*y*z0^3 + x^19 - x^17*y*z0 + 2*x^17*z0^2 - x^15*y*z0^3 - x^15*z0^4 + 2*x^18 - x^16*y*z0 - x^16*z0^2 - x^14*z0^4 + x^17 + x^15*y*z0 - 2*x^15*z0^2 - 2*x^13*y*z0^3 - x^13*z0^4 - x^14*y*z0 - 2*x^14*z0^2 + 2*x^12*y*z0^3 - x^12*z0^4 + x^13*y*z0 - x^13*z0^2 + 2*x^11*y*z0^3 - x^11*z0^4 + x^14 + 2*x^10*y*z0^3 - x^10*z0^4 - 2*x^13 + 2*x^11*y*z0 - 2*x^11*z0^2 - 2*x^9*y*z0^3 + x^9*z0^4 - x^10*z0^2 - x^8*y*z0^3 - 2*x^8*z0^4 + 2*x^11 + x^9*y*z0 + x^7*y*z0^3 - 2*x^7*z0^4 + x^10 + 2*x^8*y*z0 - 2*x^8*z0^2 + 2*x^6*y*z0^3 - x^6*z0^4 + x^9 - x^7*y*z0 + x^7*z0^2 - 2*x^5*y*z0^3 - x^8 - x^6*z0^2 - 2*x^4*y*z0^3 + x^4*z0^4 - 2*x^7 + 2*x^5*z0^2 - x^3*y*z0^3 - x^3*z0^4 - 2*x^6 + 2*x^4*y*z0 - 2*x^4*z0^2 + 2*x^2*y*z0^3 - x^5 - 2*x^3*y*z0 + x^3*z0^2 - x^2*y*z0 + 2*x^3 - 2*x^2)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^61*z0^4 - x^60*z0^4 + x^58*y^2*z0^4 - 2*x^61*z0^2 + x^59*z0^4 + x^57*y^2*z0^4 + 2*x^58*y^2*z0^2 + x^58*z0^4 - x^56*y^2*z0^4 + 2*x^61 + x^57*z0^4 - x^60 - 2*x^58*y^2 + 2*x^58*z0^2 - x^56*z0^4 + x^57*y^2 - x^55*z0^4 + 2*x^58 - x^54*z0^4 + x^57 + x^55*y^2 - 2*x^55*z0^2 + x^53*z0^4 + x^52*z0^4 - 2*x^55 + x^51*z0^4 - x^54 + 2*x^52*z0^2 - x^50*z0^4 - x^49*z0^4 + 2*x^52 - x^48*z0^4 + x^51 - 2*x^49*z0^2 + x^47*z0^4 + x^46*z0^4 - 2*x^49 + x^45*z0^4 - x^48 + 2*x^46*z0^2 - x^44*z0^4 - x^43*z0^4 + 2*x^46 - x^42*z0^4 + x^45 - 2*x^43*z0^2 + x^41*z0^4 + 2*x^40*y*z0^3 - x^40*z0^4 - 2*x^43 - 2*x^41*z0^2 - 2*x^39*y*z0^3 - x^42 - x^40*y*z0 - x^40*z0^2 + 2*x^38*y*z0^3 + 2*x^39*y*z0 + 2*x^39*z0^2 + 2*x^37*y*z0^3 + x^37*z0^4 + x^40 + x^38*y*z0 + x^38*z0^2 - x^36*y*z0^3 - x^36*z0^4 - x^37*y*z0 + 2*x^35*y*z0^3 - x^35*z0^4 + 2*x^38 - 2*x^36*z0^2 + x^34*z0^4 + 2*x^37 + 2*x^35*y*z0 + x^35*z0^2 + x^33*y*z0^3 + 2*x^33*z0^4 + 2*x^36 - 2*x^32*y*z0^3 - 2*x^35 + 2*x^33*y*z0 - x^33*z0^2 - x^31*y*z0^3 - x^34 - x^32*y*z0 - 2*x^32*z0^2 - 2*x^30*y*z0^3 + 2*x^33 + x^31*y*z0 - x^29*y*z0^3 - x^29*z0^4 + 2*x^32 - x^30*y*z0 + 2*x^30*z0^2 + x^28*y*z0^3 - 2*x^28*z0^4 - x^31 + x^29*y*z0 - 2*x^29*z0^2 + 2*x^27*z0^4 + 2*x^30 - 2*x^28*y*z0 - 2*x^28*z0^2 - x^26*y*z0^3 + 2*x^26*z0^4 + x^29 - 2*x^27*y*z0 + x^27*z0^2 + x^25*y*z0^3 - x^25*z0^4 + x^28 + x^26*y*z0 + 2*x^26*z0^2 - 2*x^27 - 2*x^25*y*z0 + 2*x^25*z0^2 - x^23*y*z0^3 + x^23*z0^4 + 2*x^26 + 2*x^24*y*z0 - 2*x^22*y*z0^3 - x^22*z0^4 + x^25 + 2*x^23*y*z0 + 2*x^23*z0^2 + x^21*y*z0^3 + 2*x^24 - x^22*y*z0 + x^22*z0^2 + x^20*y*z0^3 + x^20*z0^4 + 2*x^23 - x^21*z0^2 - 2*x^19*y*z0^3 - x^19*z0^4 + x^22 - 2*x^20*y*z0 - 2*x^21 - 2*x^19*y*z0 + 2*x^19*z0^2 + 2*x^17*z0^4 - 2*x^20 + 2*x^18*y*z0 - 2*x^18*z0^2 - 2*x^16*y*z0^3 + 2*x^19 + 2*x^17*y*z0 - 2*x^17*z0^2 + x^15*y*z0^3 + 2*x^15*z0^4 - 2*x^18 - 2*x^16*y*z0 + x^16*z0^2 - 2*x^14*y*z0^3 + x^14*z0^4 + x^17 + x^13*z0^4 + x^16 + 2*x^14*z0^2 - x^12*y*z0^3 + x^12*z0^4 + x^15 - x^13*y*z0 - 2*x^13*z0^2 + 2*x^11*y*z0^3 - 2*x^11*z0^4 + 2*x^14 + 2*x^12*y*z0 + x^12*z0^2 + 2*x^13 + x^11*y*z0 - x^11*z0^2 + 2*x^9*z0^4 + 2*x^10*y*z0 + x^10*z0^2 + x^8*y*z0^3 - x^11 + x^9*y*z0 - x^9*z0^2 - 2*x^7*y*z0^3 + x^7*z0^4 - x^10 - 2*x^8*y*z0 + x^8*z0^2 + x^6*y*z0^3 - x^6*z0^4 + 2*x^9 - 2*x^7*z0^2 - x^5*y*z0^3 - 2*x^5*z0^4 - x^6*y*z0 - x^6*z0^2 + 2*x^4*y*z0^3 - x^4*z0^4 - x^7 - 2*x^5*z0^2 - x^3*y*z0^3 - x^3*z0^4 - x^4*y*z0 + x^4*z0^2 - 2*x^2*y*z0^3 + 2*x^2*z0^4 + 2*x^3*z0^2 - x^2*y*z0 + x^2*z0^2 - x^3 - x^2)/y) * dx,
+ ((2*x^61*z0^3 - 2*x^58*y^2*z0^3 - 2*x^61*z0 - x^60*z0 + 2*x^58*y^2*z0 + x^58*z0^3 - 2*x^59*z0 + x^57*y^2*z0 + 2*x^55*y^2*z0^3 + x^58*z0 + 2*x^56*y^2*z0 + x^57*z0 + x^55*y^2*z0 - x^55*z0^3 + 2*x^56*z0 - x^55*z0 - x^54*z0 + x^52*z0^3 - 2*x^53*z0 + x^52*z0 + x^51*z0 - x^49*z0^3 + 2*x^50*z0 - x^49*z0 - x^48*z0 + x^46*z0^3 - 2*x^47*z0 + x^46*z0 + x^45*z0 - x^43*z0^3 + 2*x^44*z0 - x^43*z0 + 2*x^41*z0^3 + 2*x^39*y*z0^4 - x^42*z0 + x^40*y*z0^2 + 2*x^40*z0^3 - x^38*y*z0^4 + x^41*z0 - 2*x^39*y*z0^2 + x^39*z0^3 - 2*x^37*y*z0^4 - x^40*y - 2*x^40*z0 - x^38*y*z0^2 - x^38*z0^3 + x^36*y*z0^4 + 2*x^39*y - x^39*z0 + 2*x^37*z0^3 - 2*x^35*y*z0^4 + x^38*z0 - x^36*z0^3 - 2*x^37*y - 2*x^37*z0 + 2*x^35*y*z0^2 + 2*x^35*z0^3 - 2*x^33*y*z0^4 + x^36*y + x^34*y*z0^2 - 2*x^34*z0^3 - x^32*y*z0^4 - 2*x^35*y - 2*x^35*z0 - x^33*y*z0^2 + 2*x^33*z0^3 + x^31*y*z0^4 + 2*x^34*z0 + x^32*y*z0^2 + 2*x^32*z0^3 + 2*x^30*y*z0^4 + x^33*y - x^33*z0 + x^31*y*z0^2 - x^31*z0^3 + x^29*y*z0^4 + x^32*y - 2*x^32*z0 + x^30*y*z0^2 - x^28*y*z0^4 + 2*x^31*y - x^31*z0 - x^29*y*z0^2 - x^29*z0^3 - x^27*y*z0^4 + 2*x^30*y + 2*x^30*z0 - x^28*y*z0^2 - 2*x^28*z0^3 + 2*x^26*y*z0^4 + x^29*y + 2*x^29*z0 + x^27*y*z0^2 + x^27*z0^3 + 2*x^25*y*z0^4 + x^26*y*z0^2 + x^26*z0^3 - x^25*y*z0^2 + x^25*z0^3 - 2*x^23*y*z0^4 - 2*x^26*y + 2*x^26*z0 - x^24*y*z0^2 - x^22*y*z0^4 + 2*x^25*y + 2*x^25*z0 + 2*x^23*y*z0^2 - 2*x^23*z0^3 - 2*x^22*z0^3 - x^20*y*z0^4 + 2*x^23*y + 2*x^23*z0 + 2*x^21*y*z0^2 + x^19*y*z0^4 + 2*x^22*y - 2*x^22*z0 + x^20*y*z0^2 - x^20*z0^3 + 2*x^18*y*z0^4 + x^21*y + 2*x^21*z0 + x^19*y*z0^2 + x^19*z0^3 + x^20*y + x^20*z0 - 2*x^18*y*z0^2 + x^18*z0^3 + x^16*y*z0^4 - x^19*z0 - x^17*y*z0^2 - 2*x^17*z0^3 + 2*x^15*y*z0^4 + x^16*y*z0^2 - x^14*y*z0^4 - x^17*z0 - 2*x^15*y*z0^2 - 2*x^15*z0^3 - x^13*y*z0^4 + 2*x^16*y + x^16*z0 - x^14*y*z0^2 - 2*x^14*z0^3 - x^12*y*z0^4 + x^15*y - x^15*z0 + 2*x^13*y*z0^2 - x^13*z0^3 + x^11*y*z0^4 - x^14*y - x^14*z0 + 2*x^12*y*z0^2 - 2*x^10*y*z0^4 + x^13*y + 2*x^13*z0 - 2*x^11*y*z0^2 - x^11*z0^3 - 2*x^9*y*z0^4 - x^12*y + 2*x^12*z0 - 2*x^10*y*z0^2 + 2*x^10*z0^3 - x^8*y*z0^4 - 2*x^11*y + x^9*y*z0^2 + 2*x^9*z0^3 + x^7*y*z0^4 - 2*x^10*y - 2*x^10*z0 - 2*x^6*y*z0^4 + 2*x^9*y + 2*x^9*z0 - x^5*y*z0^4 - x^8*y + x^8*z0 + x^6*y*z0^2 - x^6*z0^3 - 2*x^4*y*z0^4 + 2*x^7*z0 - 2*x^5*y*z0^2 - x^5*z0^3 + x^3*y*z0^4 + 2*x^6*y - 2*x^6*z0 + x^4*y*z0^2 + x^4*z0^3 + x^5*y - x^3*y*z0^2 + x^3*z0^3 - x^4*y + x^4*z0 - x^2*y*z0^2 + x^2*z0^3 + x^3*y - 2*x^3*z0 - x^2*y)/y) * dx,
+ ((-2*x^61*z0^4 - 2*x^60*z0^4 + 2*x^58*y^2*z0^4 + 2*x^57*y^2*z0^4 + 2*x^58*z0^4 + x^61 + 2*x^57*z0^4 - 2*x^60 - x^58*y^2 - x^58*z0^2 + 2*x^57*y^2 + x^55*y^2*z0^2 - 2*x^55*z0^4 - x^58 - 2*x^54*z0^4 + 2*x^57 + x^55*z0^2 + 2*x^52*z0^4 + x^55 + 2*x^51*z0^4 - 2*x^54 - x^52*z0^2 - 2*x^49*z0^4 - x^52 - 2*x^48*z0^4 + 2*x^51 + x^49*z0^2 + 2*x^46*z0^4 + x^49 + 2*x^45*z0^4 - 2*x^48 - x^46*z0^2 - 2*x^43*z0^4 - x^46 - 2*x^42*z0^4 + 2*x^45 + x^43*z0^2 + x^41*z0^4 - x^40*y*z0^3 + 2*x^40*z0^4 + x^43 - x^39*z0^4 - 2*x^42 + 2*x^40*z0^2 + 2*x^38*y*z0^3 + 2*x^38*z0^4 + x^41 + x^39*y*z0 - 2*x^37*y*z0^3 - x^37*z0^4 - x^40 + 2*x^38*y*z0 - 2*x^36*z0^4 + x^39 - x^37*y*z0 + 2*x^37*z0^2 - 2*x^35*y*z0^3 - x^35*z0^4 + 2*x^38 + 2*x^36*y*z0 - 2*x^34*z0^4 - x^35*y*z0 + 2*x^35*z0^2 - 2*x^33*y*z0^3 + 2*x^34*y*z0 - 2*x^34*z0^2 - 2*x^32*z0^4 + x^35 - x^33*y*z0 + 2*x^33*z0^2 + x^31*y*z0^3 + 2*x^31*z0^4 + x^34 + x^32*y*z0 + x^32*z0^2 - x^33 + x^31*y*z0 - 2*x^29*y*z0^3 + 2*x^29*z0^4 - x^32 - 2*x^30*y*z0 + x^30*z0^2 - 2*x^31 + x^29*y*z0 + 2*x^29*z0^2 - 2*x^27*y*z0^3 - x^27*z0^4 + x^30 - x^28*y*z0 - 2*x^26*y*z0^3 + 2*x^27*y*z0 + 2*x^27*z0^2 - x^25*y*z0^3 - 2*x^28 + x^26*y*z0 + 2*x^24*z0^4 - x^27 + 2*x^25*y*z0 + x^25*z0^2 - x^23*y*z0^3 + x^23*z0^4 + 2*x^26 + 2*x^24*y*z0 - x^24*z0^2 + 2*x^22*y*z0^3 - x^22*z0^4 + 2*x^25 + 2*x^23*y*z0 - 2*x^23*z0^2 + x^21*y*z0^3 + x^21*z0^4 - x^24 - 2*x^22*y*z0 + x^20*y*z0^3 - 2*x^20*z0^4 + x^23 - x^21*y*z0 - 2*x^21*z0^2 - 2*x^22 + x^20*y*z0 - 2*x^20*z0^2 + 2*x^18*z0^4 - 2*x^19*y*z0 + x^19*z0^2 + x^17*y*z0^3 - 2*x^17*z0^4 + x^20 - 2*x^18*y*z0 + x^18*z0^2 + x^16*y*z0^3 - x^16*z0^4 - x^19 + 2*x^17*y*z0 - 2*x^17*z0^2 - x^15*y*z0^3 - 2*x^15*z0^4 - x^18 - 2*x^16*y*z0 - 2*x^16*z0^2 + x^14*y*z0^3 + 2*x^15*y*z0 - x^15*z0^2 - 2*x^13*y*z0^3 + 2*x^13*z0^4 + 2*x^16 + x^14*y*z0 + 2*x^14*z0^2 + 2*x^12*y*z0^3 - x^12*z0^4 + 2*x^15 - x^13*y*z0 + x^13*z0^2 - 2*x^11*y*z0^3 - 2*x^11*z0^4 - 2*x^14 - 2*x^12*y*z0 - x^12*z0^2 - 2*x^10*y*z0^3 - 2*x^10*z0^4 - 2*x^13 + x^11*y*z0 + 2*x^11*z0^2 + x^9*y*z0^3 - x^9*z0^4 + x^12 + x^10*y*z0 + 2*x^10*z0^2 + 2*x^8*y*z0^3 - x^8*z0^4 - x^11 + 2*x^9*y*z0 - 2*x^9*z0^2 + x^7*y*z0^3 - x^8*y*z0 + x^6*y*z0^3 + 2*x^6*z0^4 - 2*x^9 + 2*x^7*z0^2 + x^5*y*z0^3 + 2*x^5*z0^4 - 2*x^8 + 2*x^6*y*z0 + x^6*z0^2 + x^4*y*z0^3 + 2*x^4*z0^4 + x^7 + 2*x^5*y*z0 + 2*x^5*z0^2 + x^3*y*z0^3 + x^3*z0^4 - x^6 - 2*x^4*y*z0 - 2*x^2*y*z0^3 + x^2*z0^4 + 2*x^5 + x^3*z0^2 + 2*x^2*y*z0 + 2*x^2*z0^2 + 2*x^3 - 2*x^2)/y) * dx,
+ ((2*x^61*z0^4 - 2*x^60*z0^4 - 2*x^58*y^2*z0^4 + x^61*z0^2 - x^59*z0^4 + 2*x^57*y^2*z0^4 + 2*x^60*z0^2 - x^58*y^2*z0^2 + 2*x^58*z0^4 + x^56*y^2*z0^4 - 2*x^61 - 2*x^57*y^2*z0^2 + 2*x^57*z0^4 + x^55*y^2*z0^4 - x^60 + 2*x^58*y^2 - x^58*z0^2 + x^56*z0^4 + x^57*y^2 - 2*x^57*z0^2 - 2*x^55*z0^4 + 2*x^58 - 2*x^54*z0^4 + x^57 + x^55*z0^2 - x^53*z0^4 + 2*x^54*z0^2 + 2*x^52*z0^4 - 2*x^55 + 2*x^51*z0^4 - x^54 - x^52*z0^2 + x^50*z0^4 - 2*x^51*z0^2 - 2*x^49*z0^4 + 2*x^52 - 2*x^48*z0^4 + x^51 + x^49*z0^2 - x^47*z0^4 + 2*x^48*z0^2 + 2*x^46*z0^4 - 2*x^49 + 2*x^45*z0^4 - x^48 - x^46*z0^2 + x^44*z0^4 - 2*x^45*z0^2 - 2*x^43*z0^4 + 2*x^46 - 2*x^42*z0^4 + x^45 + x^43*z0^2 + 2*x^42*z0^2 + x^40*y*z0^3 + x^40*z0^4 - 2*x^43 + x^41*z0^2 + x^39*y*z0^3 - 2*x^39*z0^4 - x^42 - 2*x^40*y*z0 - x^40*z0^2 - x^38*y*z0^3 + 2*x^38*z0^4 + x^41 + x^39*y*z0 + 2*x^39*z0^2 + 2*x^37*z0^4 + x^38*y*z0 + 2*x^38*z0^2 - 2*x^36*y*z0^3 - 2*x^39 - 2*x^37*y*z0 + x^37*z0^2 + x^35*y*z0^3 + x^35*z0^4 - 2*x^36*z0^2 + 2*x^34*y*z0^3 - 2*x^37 - x^35*y*z0 - 2*x^35*z0^2 + 2*x^33*y*z0^3 + 2*x^33*z0^4 - x^34*y*z0 + 2*x^34*z0^2 + x^32*z0^4 + x^35 + 2*x^33*y*z0 - 2*x^33*z0^2 + x^31*z0^4 - 2*x^32*y*z0 + x^30*y*z0^3 + 2*x^30*z0^4 + 2*x^33 + x^31*y*z0 - 2*x^31*z0^2 - 2*x^29*y*z0^3 + x^29*z0^4 - x^32 - 2*x^30*y*z0 - 2*x^30*z0^2 - 2*x^31 - 2*x^29*y*z0 + 2*x^29*z0^2 + x^27*y*z0^3 - x^27*z0^4 + x^30 - 2*x^28*y*z0 + 2*x^28*z0^2 + x^26*y*z0^3 - x^29 - 2*x^27*y*z0 - x^27*z0^2 - x^25*y*z0^3 + x^25*z0^4 + x^28 + x^26*y*z0 - 2*x^26*z0^2 - x^24*y*z0^3 - x^24*z0^4 - x^27 - 2*x^25*y*z0 + x^23*z0^4 - 2*x^26 - 2*x^24*y*z0 - x^24*z0^2 + 2*x^22*z0^4 - 2*x^25 + x^23*z0^2 + 2*x^21*y*z0^3 - 2*x^21*z0^4 + x^24 - x^22*z0^2 + 2*x^20*y*z0^3 + 2*x^20*z0^4 - x^23 + x^21*y*z0 + x^21*z0^2 + x^19*y*z0^3 - x^19*z0^4 - 2*x^22 + x^20*y*z0 + 2*x^20*z0^2 - x^18*y*z0^3 - x^21 - x^19*y*z0 + x^19*z0^2 + 2*x^17*y*z0^3 - 2*x^17*z0^4 + 2*x^20 - 2*x^18*y*z0 - x^18*z0^2 + x^17*y*z0 - x^15*y*z0^3 + x^15*z0^4 - x^18 - 2*x^16*y*z0 - 2*x^16*z0^2 + x^14*y*z0^3 + 2*x^14*z0^4 - 2*x^17 + 2*x^15*y*z0 - 2*x^13*y*z0^3 + x^16 - x^13*y*z0 + x^13*z0^2 - 2*x^11*z0^4 - x^12*y*z0 - x^12*z0^2 - x^10*y*z0^3 + 2*x^10*z0^4 + 2*x^13 + 2*x^9*y*z0^3 - x^12 + x^10*y*z0 + 2*x^10*z0^2 - x^11 + x^9*y*z0 + x^9*z0^2 + x^7*y*z0^3 + 2*x^7*z0^4 - x^10 + x^8*y*z0 - x^8*z0^2 + 2*x^6*y*z0^3 + 2*x^9 + 2*x^5*y*z0^3 - x^5*z0^4 - x^8 - 2*x^6*z0^2 + 2*x^4*y*z0^3 + 2*x^4*z0^4 - 2*x^7 + 2*x^5*y*z0 - x^5*z0^2 + 2*x^3*y*z0^3 + 2*x^3*z0^4 + x^6 + x^4*z0^2 - 2*x^2*y*z0^3 + x^2*z0^4 - x^5 - 2*x^3*y*z0 + x^2*z0^2 - x^3)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((x^61*z0^2 + x^59*z0^4 - x^58*y^2*z0^2 - x^56*y^2*z0^4 - x^61 + 2*x^60 + x^58*y^2 - x^58*z0^2 - x^56*z0^4 - x^59 - 2*x^57*y^2 + x^58 + x^56*y^2 - 2*x^57 + x^55*z0^2 + x^53*z0^4 + x^56 - x^55 + 2*x^54 - x^52*z0^2 - x^50*z0^4 - x^53 + x^52 - 2*x^51 + x^49*z0^2 + x^47*z0^4 + x^50 - x^49 + 2*x^48 - x^46*z0^2 - x^44*z0^4 - x^47 + x^46 - 2*x^45 + x^43*z0^2 - 2*x^41*z0^4 + x^44 + x^40*z0^4 - x^43 + x^41*z0^2 + x^39*y*z0^3 + 2*x^39*z0^4 + 2*x^42 - 2*x^40*y*z0 + 2*x^40*z0^2 + 2*x^38*y*z0^3 - x^38*z0^4 + x^41 - x^39*y*z0 - 2*x^39*z0^2 - 2*x^37*y*z0^3 - 2*x^37*z0^4 + x^40 - 2*x^38*y*z0 + 2*x^38*z0^2 - 2*x^36*y*z0^3 - x^39 + 2*x^37*y*z0 - 2*x^37*z0^2 - x^35*y*z0^3 + 2*x^35*z0^4 + x^38 + 2*x^36*y*z0 + 2*x^36*z0^2 + 2*x^34*z0^4 + 2*x^37 - 2*x^35*y*z0 + 2*x^33*y*z0^3 - 2*x^36 + 2*x^34*y*z0 - x^34*z0^2 + 2*x^32*y*z0^3 + x^35 + 2*x^31*y*z0^3 + x^31*z0^4 - x^34 - x^32*z0^2 + 2*x^30*y*z0^3 + 2*x^30*z0^4 + 2*x^33 - 2*x^31*y*z0 - x^31*z0^2 + 2*x^29*z0^4 - x^32 + 2*x^30*y*z0 + x^31 + x^29*y*z0 + x^29*z0^2 + 2*x^27*y*z0^3 - x^27*z0^4 - 2*x^30 + x^28*y*z0 + 2*x^26*y*z0^3 + 2*x^26*z0^4 + 2*x^27*y*z0 + 2*x^27*z0^2 - 2*x^25*y*z0^3 - x^25*z0^4 + 2*x^28 - 2*x^26*y*z0 + 2*x^26*z0^2 + 2*x^24*z0^4 - x^27 + x^25*z0^2 + x^23*y*z0^3 + 2*x^23*z0^4 - 2*x^26 - 2*x^24*y*z0 - x^24*z0^2 + 2*x^22*y*z0^3 - 2*x^22*z0^4 - 2*x^25 - x^23*y*z0 - x^23*z0^2 - 2*x^21*y*z0^3 - x^24 - x^22*y*z0 + 2*x^22*z0^2 + 2*x^20*z0^4 - x^23 - x^21*y*z0 - x^21*z0^2 - x^19*y*z0^3 + x^19*z0^4 - 2*x^22 - x^20*y*z0 + 2*x^20*z0^2 - x^18*y*z0^3 - 2*x^18*z0^4 - x^21 + x^19*y*z0 + 2*x^19*z0^2 - x^17*y*z0^3 + 2*x^20 - 2*x^18*y*z0 - 2*x^18*z0^2 + x^16*y*z0^3 - x^16*z0^4 + 2*x^19 + x^17*y*z0 - 2*x^15*y*z0^3 + x^15*z0^4 - x^18 + x^16*y*z0 + 2*x^16*z0^2 - x^14*y*z0^3 - 2*x^17 + x^15*y*z0 + x^15*z0^2 - 2*x^13*y*z0^3 - x^13*z0^4 + x^16 - 2*x^14*y*z0 - x^14*z0^2 - x^15 - x^13*y*z0 - 2*x^13*z0^2 - x^11*y*z0^3 + x^14 + x^12*y*z0 - x^10*y*z0^3 + 2*x^13 - x^11*y*z0 + 2*x^9*y*z0^3 + x^9*z0^4 + 2*x^10*y*z0 + 2*x^10*z0^2 + x^8*y*z0^3 + x^11 - 2*x^9*z0^2 + 2*x^7*y*z0^3 - x^7*z0^4 + 2*x^10 - x^8*y*z0 + 2*x^8*z0^2 + x^6*y*z0^3 - x^6*z0^4 - x^7*z0^2 + 2*x^5*y*z0^3 - x^5*z0^4 + 2*x^8 - 2*x^6*y*z0 + 2*x^6*z0^2 - x^4*y*z0^3 + 2*x^4*z0^4 - 2*x^5*z0^2 - x^3*y*z0^3 - 2*x^3*z0^4 - x^6 - x^4*z0^2 - 2*x^2*z0^4 + x^5 - 2*x^3*y*z0 + 2*x^3*z0^2 - 2*x^2*y*z0 + 2*x^2*z0^2)/y) * dx,
+ ((2*x^61*z0^4 + x^60*z0^4 - 2*x^58*y^2*z0^4 + 2*x^61*z0^2 - x^57*y^2*z0^4 - 2*x^58*y^2*z0^2 - 2*x^58*z0^4 - x^61 - x^59*z0^2 - x^57*z0^4 + x^58*y^2 - 2*x^58*z0^2 + x^56*y^2*z0^2 + 2*x^55*z0^4 + x^58 + x^56*z0^2 + x^54*z0^4 + 2*x^55*z0^2 - 2*x^52*z0^4 - x^55 - x^53*z0^2 - x^51*z0^4 - 2*x^52*z0^2 + 2*x^49*z0^4 + x^52 + x^50*z0^2 + x^48*z0^4 + 2*x^49*z0^2 - 2*x^46*z0^4 - x^49 - x^47*z0^2 - x^45*z0^4 - 2*x^46*z0^2 + 2*x^43*z0^4 + x^46 + x^44*z0^2 + x^42*z0^4 + 2*x^43*z0^2 - x^41*z0^4 + x^40*y*z0^3 - 2*x^40*z0^4 - x^43 + x^41*z0^2 + 2*x^39*y*z0^3 + 2*x^39*z0^4 + x^40*y*z0 - x^40*z0^2 + 2*x^38*y*z0^3 - 2*x^38*z0^4 - x^41 + x^39*y*z0 + x^39*z0^2 + x^37*y*z0^3 + x^37*z0^4 - 2*x^40 - 2*x^38*y*z0 - x^38*z0^2 - x^36*y*z0^3 - 2*x^36*z0^4 - x^39 - 2*x^37*y*z0 + x^37*z0^2 - x^35*y*z0^3 - x^35*z0^4 - 2*x^38 + x^36*y*z0 + x^36*z0^2 + x^34*y*z0^3 + x^34*z0^4 + x^37 + 2*x^35*y*z0 - 2*x^33*z0^4 + 2*x^36 - 2*x^34*y*z0 - 2*x^34*z0^2 - x^32*y*z0^3 + x^33*y*z0 - x^33*z0^2 - 2*x^31*y*z0^3 - 2*x^34 - 2*x^32*y*z0 - 2*x^32*z0^2 + 2*x^30*z0^4 + 2*x^33 + 2*x^31*y*z0 - x^31*z0^2 + x^29*y*z0^3 + 2*x^29*z0^4 - x^32 - 2*x^30*y*z0 + 2*x^30*z0^2 - x^28*z0^4 + x^29*y*z0 + x^27*y*z0^3 - 2*x^27*z0^4 + x^30 - 2*x^28*y*z0 + x^28*z0^2 - x^26*y*z0^3 + x^26*z0^4 - x^29 + x^27*y*z0 + 2*x^25*y*z0^3 + 2*x^25*z0^4 + x^28 + x^26*y*z0 + 2*x^26*z0^2 - 2*x^24*y*z0^3 + x^24*z0^4 - x^27 + x^25*y*z0 - 2*x^25*z0^2 - x^23*z0^4 - 2*x^26 + 2*x^24*y*z0 + x^24*z0^2 + 2*x^22*y*z0^3 - x^22*z0^4 + x^21*y*z0^3 + 2*x^21*z0^4 + x^24 + x^22*y*z0 - 2*x^22*z0^2 + 2*x^20*z0^4 + 2*x^23 + x^21*y*z0 + x^21*z0^2 + x^19*y*z0^3 + 2*x^19*z0^4 - x^22 - 2*x^20*y*z0 + 2*x^20*z0^2 - 2*x^18*y*z0^3 - 2*x^18*z0^4 + x^21 - 2*x^19*y*z0 + x^19*z0^2 - x^20 + 2*x^18*y*z0 + 2*x^18*z0^2 - 2*x^16*y*z0^3 + 2*x^16*z0^4 - 2*x^19 - x^17*y*z0 - x^17*z0^2 - x^15*y*z0^3 + x^15*z0^4 + x^18 + x^16*y*z0 + x^16*z0^2 - x^14*y*z0^3 + 2*x^14*z0^4 - x^17 - x^15*y*z0 - 2*x^13*y*z0^3 - x^13*z0^4 - 2*x^14*y*z0 + 2*x^12*y*z0^3 + 2*x^12*z0^4 + 2*x^13*y*z0 - x^13*z0^2 - 2*x^11*y*z0^3 - x^11*z0^4 + 2*x^14 - x^12*z0^2 + 2*x^10*y*z0^3 - x^10*z0^4 - x^13 + 2*x^11*y*z0 - 2*x^11*z0^2 - 2*x^9*y*z0^3 - 2*x^9*z0^4 + x^12 - x^10*z0^2 - x^8*y*z0^3 + 2*x^8*z0^4 - 2*x^11 + 2*x^9*z0^2 - x^10 - x^8*y*z0 - x^6*y*z0^3 + 2*x^6*z0^4 - 2*x^9 - x^7*y*z0 - 2*x^7*z0^2 + x^5*y*z0^3 + x^5*z0^4 + x^8 - x^6*y*z0 - 2*x^4*y*z0^3 - x^4*z0^4 + 2*x^7 + 2*x^5*y*z0 - 2*x^5*z0^2 - x^3*y*z0^3 + x^3*z0^4 - 2*x^6 - x^4*z0^2 + 2*x^2*y*z0^3 - 2*x^2*z0^4 + x^3*y*z0 + 2*x^3*z0^2 - 2*x^2*y*z0 - x^3 + x^2)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx]
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis2(threshold = 20)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7llAS.holomorphic_diferentials_basis2(threshold = 20)[?7h[?12l[?25h[?25l[?7llAS.holomorphic_diferentials_basis2(threshold = 20)[?7h[?12l[?25h[?25l[?7llAS.holomorphic_diferentials_basis2(threshold = 20)[?7h[?12l[?25h[?25l[?7l AS.holomorphic_diferentials_basis2(threshold = 20)[?7h[?12l[?25h[?25l[?7l=AS.holomorphic_diferentials_basis2(threshold = 20)[?7h[?12l[?25h[?25l[?7l AS.holomorphic_diferentials_basis2(threshold = 20)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l0)[?7h[?12l[?25h[?25l[?7l10)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: lll = AS.holomorphic_differentials_basis2(threshold = 10)

+[?7h[?12l[?25h[?2004lIncrease precision.
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7llll = AS.holomorphic_differentials_basis2(threshold = 10)[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7lsage: lll

+[?7h[?12l[?25h[?2004l[?7h[((2*x^31*z0^3 + 2*x^30*z0^3 - 2*x^28*y^2*z0^3 - 2*x^31*z0 + 2*x^29*z0^3 - 2*x^27*y^2*z0^3 + x^30*z0 + 2*x^28*y^2*z0 - 2*x^28*z0^3 - 2*x^26*y^2*z0^3 - 2*x^29*z0 - x^27*y^2*z0 - x^27*z0^3 + 2*x^26*y^2*z0 - 2*x^26*z0^3 - x^24*y^2*z0^3 - x^27*z0 + 2*x^25*y^2*z0 + 2*x^25*z0^3 + 2*x^26*z0 + x^24*z0^3 + 2*x^23*z0^3 + x^24*z0 - 2*x^22*z0^3 - 2*x^23*z0 - x^21*z0^3 - 2*x^20*z0^3 - x^21*z0 + 2*x^19*z0^3 + 2*x^20*z0 + x^18*z0^3 + 2*x^17*z0^3 + x^18*z0 - 2*x^16*z0^3 - 2*x^17*z0 - x^15*z0^3 - 2*x^14*z0^3 - x^15*z0 + 2*x^13*z0^3 + 2*x^14*z0 + x^12*z0^3 + 2*x^11*z0^3 - 2*x^9*y*z0^4 + x^12*z0 - x^10*y*z0^2 + 2*x^10*z0^3 + 2*x^8*y*z0^4 - 2*x^11*z0 + 2*x^9*y*z0^2 - 2*x^9*z0^3 - 2*x^7*y*z0^4 + x^10*y - 2*x^10*z0 - x^8*y*z0^2 + x^8*z0^3 - x^6*y*z0^4 + 2*x^9*y + x^9*z0 + x^7*z0^3 - 2*x^8*z0 + x^6*y*z0^2 + 2*x^6*z0^3 + 2*x^4*y*z0^4 + x^7*y - x^5*y*z0^2 - x^3*y*z0^4 + 2*x^6*z0 - x^4*y*z0^2 - x^4*z0^3 + x^2*y*z0^4 + x^5*y - x^3*y*z0^2 - x^3*z0^3 + x^2*y*z0^2 + 2*x^2*z0^3 - x^3*y + 2*x^3*z0 - 2*x^2*z0 + y)/y) * dx,
+ ((-x^30*z0^4 + 2*x^31*z0^2 - 2*x^29*z0^4 + x^27*y^2*z0^4 - 2*x^28*y^2*z0^2 + 2*x^26*y^2*z0^4 - 2*x^31 + x^27*z0^4 + 2*x^28*y^2 - 2*x^28*z0^2 + 2*x^26*z0^4 + 2*x^28 - x^24*z0^4 + 2*x^25*z0^2 - 2*x^23*z0^4 - 2*x^25 + x^21*z0^4 - 2*x^22*z0^2 + 2*x^20*z0^4 + 2*x^22 - x^18*z0^4 + 2*x^19*z0^2 - 2*x^17*z0^4 - 2*x^19 + x^15*z0^4 - 2*x^16*z0^2 + 2*x^14*z0^4 + 2*x^16 - x^12*z0^4 + 2*x^13*z0^2 - x^11*z0^4 - 2*x^10*z0^4 - 2*x^13 - 2*x^9*y*z0^3 + x^9*z0^4 - x^10*y*z0 - x^10*z0^2 - 2*x^8*y*z0^3 + x^8*z0^4 - x^11 + 2*x^9*y*z0 + 2*x^9*z0^2 + x^7*y*z0^3 - 2*x^10 - x^8*y*z0 + 2*x^8*z0^2 + 2*x^6*y*z0^3 - x^6*z0^4 + x^7*y*z0 + 2*x^7*z0^2 + x^5*y*z0^3 + 2*x^5*z0^4 + x^8 - x^6*y*z0 + 2*x^6*z0^2 + x^4*z0^4 - x^5*y*z0 - x^3*y*z0^3 - 2*x^3*z0^4 - 2*x^6 - x^4*y*z0 - 2*x^4*z0^2 + 2*x^2*y*z0^3 + 2*x^2*z0^4 + 2*x^3*y*z0 - 2*x^3*z0^2 + 2*x^2*y*z0 + 2*x^2*z0^2 - x^3 - x^2 + y*z0)/y) * dx,
+ ((-x^31*z0^3 + x^30*z0^3 + x^28*y^2*z0^3 + x^31*z0 - x^29*z0^3 - x^27*y^2*z0^3 - x^30*z0 - x^28*y^2*z0 + x^28*z0^3 + x^26*y^2*z0^3 - x^29*z0 + x^27*y^2*z0 - 2*x^27*z0^3 - x^28*z0 + x^26*y^2*z0 + x^26*z0^3 + x^24*y^2*z0^3 + x^27*z0 - x^25*z0^3 + x^26*z0 + 2*x^24*z0^3 + x^25*z0 - x^23*z0^3 - x^24*z0 + x^22*z0^3 - x^23*z0 - 2*x^21*z0^3 - x^22*z0 + x^20*z0^3 + x^21*z0 - x^19*z0^3 + x^20*z0 + 2*x^18*z0^3 + x^19*z0 - x^17*z0^3 - x^18*z0 + x^16*z0^3 - x^17*z0 - 2*x^15*z0^3 - x^16*z0 + x^14*z0^3 + x^15*z0 - x^13*z0^3 + x^14*z0 + 2*x^12*z0^3 + x^13*z0 - x^11*z0^3 + x^9*y*z0^4 - x^12*z0 - 2*x^10*y*z0^2 + 2*x^10*z0^3 + x^8*y*z0^4 - x^11*z0 - x^9*y*z0^2 + 2*x^9*z0^3 + 2*x^10*y - 2*x^10*z0 - x^8*z0^3 - x^6*y*z0^4 - x^9*y - x^9*z0 - 2*x^7*y*z0^2 + 2*x^7*z0^3 + 2*x^8*y - 2*x^8*z0 + 2*x^6*y*z0^2 + 2*x^6*z0^3 + 2*x^4*y*z0^4 + 2*x^7*y + x^7*z0 - 2*x^5*y*z0^2 + x^5*z0^3 + 2*x^3*y*z0^4 - x^6*y + 2*x^6*z0 + x^4*y*z0^2 + 2*x^4*z0^3 + 2*x^2*y*z0^4 - x^5*z0 + x^3*y*z0^2 + 2*x^3*z0^3 - x^4*y + x^3*z0 + x^2*y - x^2*z0 + y*z0^2)/y) * dx,
+ ((2*x^31*z0^4 + 2*x^30*z0^4 - 2*x^28*y^2*z0^4 - 2*x^27*y^2*z0^4 + x^30*z0^2 - 2*x^28*z0^4 - 2*x^31 - x^27*y^2*z0^2 - 2*x^27*z0^4 + x^30 + 2*x^28*y^2 - x^27*y^2 - x^27*z0^2 + 2*x^25*z0^4 + 2*x^28 + 2*x^24*z0^4 - x^27 + x^24*z0^2 - 2*x^22*z0^4 - 2*x^25 - 2*x^21*z0^4 + x^24 - x^21*z0^2 + 2*x^19*z0^4 + 2*x^22 + 2*x^18*z0^4 - x^21 + x^18*z0^2 - 2*x^16*z0^4 - 2*x^19 - 2*x^15*z0^4 + x^18 - x^15*z0^2 + 2*x^13*z0^4 + 2*x^16 + 2*x^12*z0^4 - x^15 + x^11*z0^4 + x^12*z0^2 - x^10*y*z0^3 - x^10*z0^4 - 2*x^13 - x^9*z0^4 + x^12 - x^10*z0^2 + 2*x^8*y*z0^3 + 2*x^11 + 2*x^9*y*z0 - 2*x^9*z0^2 - 2*x^7*y*z0^3 - x^7*z0^4 + 2*x^8*y*z0 - x^8*z0^2 - x^6*y*z0^3 - x^6*z0^4 + x^9 + x^7*y*z0 + x^7*z0^2 - 2*x^5*y*z0^3 + 2*x^5*z0^4 + x^8 - x^6*y*z0 - 2*x^6*z0^2 + x^4*y*z0^3 - 2*x^4*z0^4 - 2*x^5*y*z0 + x^5*z0^2 + 2*x^3*y*z0^3 + 2*x^3*z0^4 + 2*x^4*y*z0 - x^4*z0^2 + x^2*z0^4 - 2*x^5 - x^3*y*z0 + 2*x^2*y*z0 + 2*x^2*z0^2 + y*z0^3 - 2*x^3 - 2*x^2)/y) * dx,
+ ((-2*x^29*z0^3 + 2*x^30*z0 + 2*x^26*y^2*z0^3 - x^29*z0 - 2*x^27*y^2*z0 + x^27*z0^3 - x^28*z0 + x^26*y^2*z0 + 2*x^26*z0^3 - x^24*y^2*z0^3 - 2*x^27*z0 + x^25*y^2*z0 + x^26*z0 - x^24*z0^3 + x^25*z0 - 2*x^23*z0^3 + 2*x^24*z0 - x^23*z0 + x^21*z0^3 - x^22*z0 + 2*x^20*z0^3 - 2*x^21*z0 + x^20*z0 - x^18*z0^3 + x^19*z0 - 2*x^17*z0^3 + 2*x^18*z0 - x^17*z0 + x^15*z0^3 - x^16*z0 + 2*x^14*z0^3 - 2*x^15*z0 + x^14*z0 - x^12*z0^3 + x^13*z0 - 2*x^11*z0^3 + 2*x^12*z0 - x^11*z0 + 2*x^9*z0^3 + 2*x^10*z0 - 2*x^8*z0^3 + 2*x^6*y*z0^4 + x^9*z0 - 2*x^7*y*z0^2 + 2*x^7*z0^3 + x^5*y*z0^4 + 2*x^8*z0 + x^6*y*z0^2 + x^6*z0^3 - 2*x^4*y*z0^4 + 2*x^7*y - x^7*z0 + x^5*z0^3 + x^3*y*z0^4 - x^6*y - x^6*z0 + 2*x^2*y*z0^4 - 2*x^5*z0 + 2*x^3*z0^3 - x^4*y - x^4*z0 - x^2*y*z0^2 - 2*x^2*z0^3 + y*z0^4 - x^3*y - x^3*z0 - 2*x^2*y + 2*x^2*z0)/y) * dx,
+ ((-x^3 + y^2)/y) * dx,
+ ((-x^3*z0 + y^2*z0)/y) * dx,
+ ((-x^3*z0^2 + y^2*z0^2)/y) * dx,
+ ((-x^3*z0^3 + y^2*z0^3)/y) * dx,
+ ((-x^3*z0^4 + y^2*z0^4)/y) * dx,
+ ((2*x^31*z0^3 + x^30*z0^3 - 2*x^28*y^2*z0^3 - x^31*z0 + 2*x^29*z0^3 - x^27*y^2*z0^3 + x^28*y^2*z0 - 2*x^28*z0^3 - 2*x^26*y^2*z0^3 - x^29*z0 + 2*x^27*z0^3 + x^26*y^2*z0 - 2*x^26*z0^3 + 2*x^24*y^2*z0^3 + x^25*y^2*z0 + 2*x^25*z0^3 + x^26*z0 - 2*x^24*z0^3 + 2*x^23*z0^3 - 2*x^22*z0^3 - x^23*z0 + 2*x^21*z0^3 - 2*x^20*z0^3 + 2*x^19*z0^3 + x^20*z0 - 2*x^18*z0^3 + 2*x^17*z0^3 - 2*x^16*z0^3 - x^17*z0 + 2*x^15*z0^3 - 2*x^14*z0^3 + 2*x^13*z0^3 + x^14*z0 - 2*x^12*z0^3 + 2*x^11*z0^3 - 2*x^9*y*z0^4 - x^10*y*z0^2 - x^10*z0^3 + x^8*y*z0^4 - x^11*z0 + x^9*y*z0^2 - 2*x^9*z0^3 + x^7*y*z0^4 - 2*x^10*y - 2*x^10*z0 - 2*x^8*y*z0^2 - x^8*z0^3 + 2*x^6*y*z0^4 + 2*x^9*y + 2*x^9*z0 + 2*x^7*y*z0^2 - x^7*z0^3 + x^5*y*z0^4 + 2*x^8*y + 2*x^8*z0 + 2*x^6*y*z0^2 + 2*x^6*z0^3 - 2*x^4*y*z0^4 + x^5*y*z0^2 + 2*x^5*z0^3 + 2*x^3*y*z0^4 + 2*x^6*y + 2*x^6*z0 + 2*x^4*y*z0^2 - x^4*z0^3 - 2*x^2*y*z0^4 - x^5*y + x^5*z0 + x^3*z0^3 - x^4*y + 2*x^4*z0 + 2*x^2*z0^3 + 2*x^3*y - 2*x^3*z0 + x^2*y + x^2*z0 + x*y)/y) * dx,
+ ((x^30*z0^4 + 2*x^31*z0^2 - 2*x^29*z0^4 - x^27*y^2*z0^4 + 2*x^30*z0^2 - 2*x^28*y^2*z0^2 + 2*x^26*y^2*z0^4 + x^31 - 2*x^27*y^2*z0^2 - x^27*z0^4 - x^28*y^2 - 2*x^28*z0^2 + 2*x^26*z0^4 - 2*x^27*z0^2 - x^28 + x^24*z0^4 + 2*x^25*z0^2 - 2*x^23*z0^4 + 2*x^24*z0^2 + x^25 - x^21*z0^4 - 2*x^22*z0^2 + 2*x^20*z0^4 - 2*x^21*z0^2 - x^22 + x^18*z0^4 + 2*x^19*z0^2 - 2*x^17*z0^4 + 2*x^18*z0^2 + x^19 - x^15*z0^4 - 2*x^16*z0^2 + 2*x^14*z0^4 - 2*x^15*z0^2 - x^16 + x^12*z0^4 + 2*x^13*z0^2 + 2*x^12*z0^2 + x^10*z0^4 + x^13 - 2*x^9*y*z0^3 - 2*x^9*z0^4 - x^10*y*z0 - 2*x^11 - x^9*y*z0 + x^7*y*z0^3 + x^7*z0^4 - x^10 - 2*x^8*z0^2 - x^6*y*z0^3 - x^6*z0^4 + 2*x^9 - x^7*y*z0 - x^7*z0^2 - x^5*y*z0^3 - x^5*z0^4 - 2*x^8 + x^4*y*z0^3 + 2*x^4*z0^4 - x^7 - x^5*y*z0 - x^3*y*z0^3 + 2*x^6 - 2*x^4*y*z0 + x^4*z0^2 + x^2*z0^4 + 2*x^5 + x^3*y*z0 + 2*x^2*z0^2 + x^3 + x*y*z0 - 2*x^2)/y) * dx,
+ ((-x^31*z0 + 2*x^29*z0^3 + x^28*y^2*z0 - 2*x^26*y^2*z0^3 - x^29*z0 + 2*x^27*z0^3 + x^26*y^2*z0 - 2*x^26*z0^3 - 2*x^24*y^2*z0^3 + x^25*y^2*z0 + x^26*z0 - 2*x^24*z0^3 + 2*x^23*z0^3 - x^23*z0 + 2*x^21*z0^3 - 2*x^20*z0^3 + x^20*z0 - 2*x^18*z0^3 + 2*x^17*z0^3 - x^17*z0 + 2*x^15*z0^3 - 2*x^14*z0^3 + x^14*z0 - 2*x^12*z0^3 + 2*x^11*z0^3 - x^10*z0^3 - x^11*z0 + x^9*y*z0^2 + x^9*z0^3 - x^7*y*z0^4 - 2*x^10*y + x^10*z0 + 2*x^8*y*z0^2 + 2*x^8*z0^3 + x^6*y*z0^4 - x^7*y*z0^2 - x^7*z0^3 - x^5*y*z0^4 - 2*x^8*z0 + x^6*z0^3 - 2*x^4*y*z0^4 - x^7*y - x^7*z0 - x^5*z0^3 + x^3*y*z0^4 - 2*x^6*z0 - x^4*y*z0^2 - x^4*z0^3 - 2*x^2*y*z0^4 - x^5*z0 - 2*x^3*y*z0^2 + 2*x^3*z0^3 - 2*x^4*y + x^4*z0 + 2*x^2*y*z0^2 + x^3*y - x^3*z0 + x*y*z0^2 - 2*x^2*z0)/y) * dx,
+ ((x^31*z0^4 - x^30*z0^4 - x^28*y^2*z0^4 + 2*x^31*z0^2 - x^29*z0^4 + x^27*y^2*z0^4 - 2*x^28*y^2*z0^2 - x^28*z0^4 + x^26*y^2*z0^4 - 2*x^31 + x^27*z0^4 + 2*x^28*y^2 - 2*x^28*z0^2 + x^26*z0^4 + x^25*z0^4 + 2*x^28 - x^24*z0^4 + 2*x^25*z0^2 - x^23*z0^4 - x^22*z0^4 - 2*x^25 + x^21*z0^4 - 2*x^22*z0^2 + x^20*z0^4 + x^19*z0^4 + 2*x^22 - x^18*z0^4 + 2*x^19*z0^2 - x^17*z0^4 - x^16*z0^4 - 2*x^19 + x^15*z0^4 - 2*x^16*z0^2 + x^14*z0^4 + x^13*z0^4 + 2*x^16 - x^12*z0^4 + 2*x^13*z0^2 + 2*x^10*y*z0^3 + x^10*z0^4 - 2*x^13 - 2*x^9*y*z0^3 + x^9*z0^4 - x^10*y*z0 + 2*x^8*y*z0^3 + 2*x^8*z0^4 - 2*x^11 + 2*x^9*y*z0 + 2*x^9*z0^2 - 2*x^7*y*z0^3 - x^7*z0^4 - 2*x^10 + x^8*y*z0 - 2*x^8*z0^2 + x^6*y*z0^3 - x^6*z0^4 + 2*x^9 - x^7*z0^2 - 2*x^5*y*z0^3 + x^5*z0^4 + 2*x^8 + x^6*y*z0 - x^4*y*z0^3 + 2*x^4*z0^4 + 2*x^7 - x^5*z0^2 - x^3*y*z0^3 - 2*x^3*z0^4 - 2*x^6 + 2*x^2*y*z0^3 + x^2*z0^4 - x^5 - x^3*y*z0 - x^3*z0^2 + x*y*z0^3 + x^2*y*z0 - 2*x^2*z0^2 - 2*x^3 - x^2)/y) * dx,
+ ((x^31*z0^3 + x^30*z0^3 - x^28*y^2*z0^3 - 2*x^31*z0 - x^27*y^2*z0^3 - 2*x^30*z0 + 2*x^28*y^2*z0 - x^28*z0^3 - x^29*z0 + 2*x^27*y^2*z0 - 2*x^27*z0^3 + x^28*z0 + x^26*y^2*z0 + x^24*y^2*z0^3 + 2*x^27*z0 + x^25*y^2*z0 + x^25*z0^3 + x^26*z0 + 2*x^24*z0^3 - x^25*z0 - 2*x^24*z0 - x^22*z0^3 - x^23*z0 - 2*x^21*z0^3 + x^22*z0 + 2*x^21*z0 + x^19*z0^3 + x^20*z0 + 2*x^18*z0^3 - x^19*z0 - 2*x^18*z0 - x^16*z0^3 - x^17*z0 - 2*x^15*z0^3 + x^16*z0 + 2*x^15*z0 + x^13*z0^3 + x^14*z0 + 2*x^12*z0^3 - x^13*z0 - x^9*y*z0^4 - 2*x^12*z0 + 2*x^10*y*z0^2 + x^8*y*z0^4 - x^11*z0 + 2*x^9*y*z0^2 + 2*x^9*z0^3 - 2*x^7*y*z0^4 + x^10*y + x^10*z0 + x^8*y*z0^2 + 2*x^8*z0^3 + x^6*y*z0^4 + x^9*y + x^9*z0 + x^7*y*z0^2 + 2*x^7*z0^3 + 2*x^5*y*z0^4 + 2*x^8*z0 + 2*x^6*y*z0^2 + 2*x^6*z0^3 + x^4*y*z0^4 - 2*x^7*z0 - x^5*y*z0^2 + x^5*z0^3 + 2*x^3*y*z0^4 + x^6*y - 2*x^6*z0 + 2*x^4*y*z0^2 + 2*x^4*z0^3 + 2*x^2*y*z0^4 - 2*x^5*z0 - 2*x^3*y*z0^2 + x^3*z0^3 + x*y*z0^4 - x^4*y + 2*x^4*z0 - 2*x^2*y*z0^2 + 2*x^3*y + 2*x^3*z0 + x^2*y + x^2*z0)/y) * dx,
+ ((-x^31*z0^4 - x^30*z0^4 + x^28*y^2*z0^4 + x^31*z0^2 - 2*x^29*z0^4 + x^27*y^2*z0^4 - x^28*y^2*z0^2 + x^28*z0^4 + 2*x^26*y^2*z0^4 + 2*x^31 + x^27*z0^4 - 2*x^28*y^2 - x^28*z0^2 + 2*x^26*z0^4 - x^25*z0^4 - 2*x^28 - x^24*z0^4 + x^25*z0^2 - 2*x^23*z0^4 + x^22*z0^4 + 2*x^25 + x^21*z0^4 - x^22*z0^2 + 2*x^20*z0^4 - x^19*z0^4 - 2*x^22 - x^18*z0^4 + x^19*z0^2 - 2*x^17*z0^4 + x^16*z0^4 + 2*x^19 + x^15*z0^4 - x^16*z0^2 + 2*x^14*z0^4 - x^13*z0^4 - 2*x^16 - x^12*z0^4 + x^13*z0^2 + 2*x^11*z0^4 - 2*x^10*y*z0^3 - x^10*z0^4 + 2*x^13 - x^9*y*z0^3 + x^9*z0^4 + 2*x^10*y*z0 - x^10*z0^2 + x^8*z0^4 + 2*x^11 - 2*x^9*y*z0 + x^7*y*z0^3 + x^8*y*z0 - x^8*z0^2 - x^6*y*z0^3 + x^6*z0^4 + 2*x^7*y*z0 - 2*x^7*z0^2 + 2*x^5*y*z0^3 + x^5*z0^4 - x^8 + x^6*y*z0 - 2*x^6*z0^2 + x^4*y*z0^3 + 2*x^4*z0^4 - 2*x^7 - x^5*z0^2 - x^3*y*z0^3 + 2*x^3*z0^4 - 2*x^6 + 2*x^2*y*z0^3 - x^2*z0^4 - 2*x^5 - x^3*z0^2 - 2*x^2*y*z0 - x^2*z0^2 - x^3 + x*y^2)/y) * dx,
+ ((2*x^30*z0^3 + 2*x^31*z0 - 2*x^29*z0^3 - 2*x^27*y^2*z0^3 - x^30*z0 - 2*x^28*y^2*z0 + 2*x^26*y^2*z0^3 + x^27*y^2*z0 - x^27*z0^3 + x^28*z0 + 2*x^26*z0^3 - x^24*y^2*z0^3 + x^27*z0 + 2*x^25*y^2*z0 + x^24*z0^3 - x^25*z0 - 2*x^23*z0^3 - x^24*z0 - x^21*z0^3 + x^22*z0 + 2*x^20*z0^3 + x^21*z0 + x^18*z0^3 - x^19*z0 - 2*x^17*z0^3 - x^18*z0 - x^15*z0^3 + x^16*z0 + 2*x^14*z0^3 + x^15*z0 + x^12*z0^3 - x^13*z0 - 2*x^11*z0^3 - x^12*z0 + 2*x^8*y*z0^4 - 2*x^9*y*z0^2 + 2*x^9*z0^3 - 2*x^7*y*z0^4 - x^10*y + 2*x^8*y*z0^2 - 2*x^8*z0^3 + x^6*y*z0^4 + x^9*z0 + x^7*y*z0^2 - 2*x^7*z0^3 + 2*x^5*y*z0^4 + x^8*y - x^8*z0 - 2*x^6*y*z0^2 + x^6*z0^3 - 2*x^4*y*z0^4 - 2*x^7*z0 + x^5*y*z0^2 - 2*x^5*z0^3 + x^3*y*z0^4 - 2*x^6*y - x^6*z0 - x^4*y*z0^2 + x^4*z0^3 + x^2*y*z0^4 + 2*x^5*y + 2*x^5*z0 - 2*x^3*z0^3 + x^4*y + 2*x^4*z0 + 2*x^2*y*z0^2 - 2*x^2*z0^3 + 2*x^3*y + x^3*z0 + x*y^2*z0 - 2*x^2*z0)/y) * dx,
+ ((2*x^30*z0^4 + x^31*z0^2 - 2*x^29*z0^4 - 2*x^27*y^2*z0^4 - x^28*y^2*z0^2 + 2*x^26*y^2*z0^4 + 2*x^31 - 2*x^27*z0^4 - 2*x^30 - 2*x^28*y^2 - x^28*z0^2 + 2*x^26*z0^4 + 2*x^27*y^2 - 2*x^28 + 2*x^24*z0^4 + 2*x^27 + x^25*z0^2 - 2*x^23*z0^4 + 2*x^25 - 2*x^21*z0^4 - 2*x^24 - x^22*z0^2 + 2*x^20*z0^4 - 2*x^22 + 2*x^18*z0^4 + 2*x^21 + x^19*z0^2 - 2*x^17*z0^4 + 2*x^19 - 2*x^15*z0^4 - 2*x^18 - x^16*z0^2 + 2*x^14*z0^4 - 2*x^16 + 2*x^12*z0^4 + 2*x^15 + x^13*z0^2 + 2*x^11*z0^4 - x^10*z0^4 + 2*x^13 - x^9*y*z0^3 - x^9*z0^4 - 2*x^12 + 2*x^10*y*z0 - 2*x^8*y*z0^3 + 2*x^8*z0^4 + x^11 - 2*x^9*y*z0 + 2*x^9*z0^2 - x^7*z0^4 - 2*x^8*y*z0 + x^8*z0^2 - x^6*z0^4 + 2*x^9 + x^7*y*z0 + x^7*z0^2 - x^5*y*z0^3 + x^5*z0^4 + x^8 - 2*x^6*y*z0 - x^6*z0^2 + 2*x^4*z0^4 + 2*x^7 + 2*x^5*z0^2 - x^3*y*z0^3 + 2*x^3*z0^4 + 2*x^4*z0^2 - x^2*y*z0^3 + 2*x^2*z0^4 - 2*x^5 - 2*x^3*y*z0 + 2*x^3*z0^2 + x*y^2*z0^2 + 2*x^2*y*z0 + x^2*z0^2 - 2*x^3 - x^2)/y) * dx,
+ ((-x^31*z0^3 + x^28*y^2*z0^3 - x^31*z0 - 2*x^29*z0^3 + x^30*z0 + x^28*y^2*z0 + x^28*z0^3 + 2*x^26*y^2*z0^3 - 2*x^29*z0 - x^27*y^2*z0 - x^27*z0^3 + x^28*z0 + 2*x^26*y^2*z0 + 2*x^26*z0^3 + x^24*y^2*z0^3 - x^27*z0 - x^25*z0^3 + 2*x^26*z0 + x^24*z0^3 - x^25*z0 - 2*x^23*z0^3 + x^24*z0 + x^22*z0^3 - 2*x^23*z0 - x^21*z0^3 + x^22*z0 + 2*x^20*z0^3 - x^21*z0 - x^19*z0^3 + 2*x^20*z0 + x^18*z0^3 - x^19*z0 - 2*x^17*z0^3 + x^18*z0 + x^16*z0^3 - 2*x^17*z0 - x^15*z0^3 + x^16*z0 + 2*x^14*z0^3 - x^15*z0 - x^13*z0^3 + 2*x^14*z0 + x^12*z0^3 - x^13*z0 - 2*x^11*z0^3 + x^9*y*z0^4 + x^12*z0 - 2*x^10*y*z0^2 + x^10*z0^3 - 2*x^11*z0 + x^9*y*z0^2 - x^9*z0^3 + x^7*y*z0^4 - 2*x^10*y + x^8*y*z0^2 - x^6*y*z0^4 - x^9*y - x^9*z0 + 2*x^7*y*z0^2 - 2*x^5*y*z0^4 + x^8*y + 2*x^8*z0 + x^6*y*z0^2 - x^7*z0 - 2*x^5*y*z0^2 + 2*x^5*z0^3 - x^6*z0 + x^4*z0^3 - x^2*y*z0^4 - x^5*y + x^5*z0 - x^3*y*z0^2 - x^3*z0^3 + x*y^2*z0^3 - 2*x^4*z0 + x^2*y*z0^2 + x^2*z0^3 - 2*x^3*y - 2*x^3*z0 - x^2*y - x^2*z0)/y) * dx,
+ ((-2*x^31*z0^4 - x^30*z0^4 + 2*x^28*y^2*z0^4 + x^31*z0^2 + x^29*z0^4 + x^27*y^2*z0^4 + 2*x^30*z0^2 - x^28*y^2*z0^2 + 2*x^28*z0^4 - x^26*y^2*z0^4 + 2*x^31 - 2*x^27*y^2*z0^2 + x^27*z0^4 + 2*x^30 - 2*x^28*y^2 - x^28*z0^2 - x^26*z0^4 - 2*x^27*y^2 - 2*x^27*z0^2 - 2*x^25*z0^4 - 2*x^28 - x^24*z0^4 - 2*x^27 + x^25*z0^2 + x^23*z0^4 + 2*x^24*z0^2 + 2*x^22*z0^4 + 2*x^25 + x^21*z0^4 + 2*x^24 - x^22*z0^2 - x^20*z0^4 - 2*x^21*z0^2 - 2*x^19*z0^4 - 2*x^22 - x^18*z0^4 - 2*x^21 + x^19*z0^2 + x^17*z0^4 + 2*x^18*z0^2 + 2*x^16*z0^4 + 2*x^19 + x^15*z0^4 + 2*x^18 - x^16*z0^2 - x^14*z0^4 - 2*x^15*z0^2 - 2*x^13*z0^4 - 2*x^16 - x^12*z0^4 - 2*x^15 + x^13*z0^2 + 2*x^12*z0^2 + x^10*y*z0^3 + x^10*z0^4 + 2*x^13 - x^9*y*z0^3 + 2*x^9*z0^4 + 2*x^12 + 2*x^10*y*z0 + x^10*z0^2 + 2*x^8*y*z0^3 + 2*x^8*z0^4 - 2*x^11 - 2*x^9*y*z0 - 2*x^9*z0^2 + x^7*y*z0^3 + x^7*z0^4 - 2*x^10 - x^8*y*z0 + x^8*z0^2 + 2*x^6*y*z0^3 + 2*x^6*z0^4 + x^9 - 2*x^7*y*z0 + x^5*y*z0^3 - 2*x^5*z0^4 - 2*x^8 + x^6*y*z0 - x^6*z0^2 - 2*x^4*y*z0^3 + x^4*z0^4 - 2*x^7 + x^5*y*z0 + x*y^2*z0^4 - 2*x^6 - x^4*y*z0 + x^4*z0^2 - x^2*y*z0^3 + 2*x^2*z0^4 + 2*x^5 + 2*x^3*y*z0 - x^3*z0^2 + x^2*y*z0 + 2*x^2*z0^2 - 2*x^3 - x^2)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^5 + x^2*y^2 + x^2)/y) * dx,
+ ((-x^5*z0 + x^2*y^2*z0 + x^2*z0)/y) * dx,
+ ((-x^5*z0^2 + x^2*y^2*z0^2 + x^2*z0^2)/y) * dx,
+ ((-x^5*z0^3 + x^2*y^2*z0^3 + x^2*z0^3)/y) * dx,
+ ((-x^5*z0^4 + x^2*y^2*z0^4 + x^2*z0^4)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^6 + x^3*y^2 + x^3)/y) * dx,
+ ((-x^6*z0 + x^3*y^2*z0 + x^3*z0)/y) * dx,
+ ((-x^6*z0^2 + x^3*y^2*z0^2 + x^3*z0^2)/y) * dx,
+ ((-x^6*z0^3 + x^3*y^2*z0^3 + x^3*z0^3)/y) * dx,
+ ((-x^6*z0^4 + x^3*y^2*z0^4 + x^3*z0^4)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((x^31*z0^4 + x^30*z0^4 - x^28*y^2*z0^4 - x^31*z0^2 + 2*x^29*z0^4 - x^27*y^2*z0^4 + x^28*y^2*z0^2 - x^28*z0^4 - 2*x^26*y^2*z0^4 - 2*x^31 - x^27*z0^4 + 2*x^28*y^2 + x^28*z0^2 - 2*x^26*z0^4 + x^25*z0^4 + 2*x^28 + x^24*z0^4 - x^25*z0^2 + 2*x^23*z0^4 - x^22*z0^4 - 2*x^25 - x^21*z0^4 + x^22*z0^2 - 2*x^20*z0^4 + x^19*z0^4 + 2*x^22 + x^18*z0^4 - x^19*z0^2 + 2*x^17*z0^4 - x^16*z0^4 - 2*x^19 - x^15*z0^4 + x^16*z0^2 - 2*x^14*z0^4 + x^13*z0^4 + 2*x^16 + x^12*z0^4 - x^13*z0^2 - 2*x^11*z0^4 + 2*x^10*y*z0^3 + x^10*z0^4 - 2*x^13 + x^9*y*z0^3 - x^9*z0^4 - 2*x^10*y*z0 + x^10*z0^2 - x^8*z0^4 - 2*x^11 + 2*x^9*y*z0 - x^7*y*z0^3 - x^8*y*z0 + x^8*z0^2 + x^6*y*z0^3 - x^6*z0^4 - 2*x^7*y*z0 + 2*x^7*z0^2 - 2*x^5*y*z0^3 - x^5*z0^4 + x^8 - x^6*y*z0 + 2*x^6*z0^2 - x^4*y*z0^3 - 2*x^4*z0^4 + x^7 + x^5*z0^2 + x^3*y*z0^3 - 2*x^3*z0^4 + 2*x^6 + x^4*y^2 - 2*x^2*y*z0^3 + x^2*z0^4 + 2*x^5 + x^3*z0^2 + 2*x^2*y*z0 + x^2*z0^2 + x^3)/y) * dx,
+ ((-2*x^30*z0^3 - 2*x^31*z0 + 2*x^29*z0^3 + 2*x^27*y^2*z0^3 + x^30*z0 + 2*x^28*y^2*z0 - 2*x^26*y^2*z0^3 - x^27*y^2*z0 + x^27*z0^3 - x^28*z0 - 2*x^26*z0^3 + x^24*y^2*z0^3 - x^27*z0 - 2*x^25*y^2*z0 - x^24*z0^3 + x^25*z0 + 2*x^23*z0^3 + x^24*z0 + x^21*z0^3 - x^22*z0 - 2*x^20*z0^3 - x^21*z0 - x^18*z0^3 + x^19*z0 + 2*x^17*z0^3 + x^18*z0 + x^15*z0^3 - x^16*z0 - 2*x^14*z0^3 - x^15*z0 - x^12*z0^3 + x^13*z0 + 2*x^11*z0^3 + x^12*z0 - 2*x^8*y*z0^4 + 2*x^9*y*z0^2 - 2*x^9*z0^3 + 2*x^7*y*z0^4 + x^10*y - 2*x^8*y*z0^2 + 2*x^8*z0^3 - x^6*y*z0^4 - x^9*z0 - x^7*y*z0^2 + 2*x^7*z0^3 - 2*x^5*y*z0^4 - x^8*y + x^8*z0 + 2*x^6*y*z0^2 - x^6*z0^3 + 2*x^4*y*z0^4 + x^7*z0 - x^5*y*z0^2 + 2*x^5*z0^3 - x^3*y*z0^4 + 2*x^6*y + x^6*z0 + x^4*y^2*z0 + x^4*y*z0^2 - x^4*z0^3 - x^2*y*z0^4 - 2*x^5*y - 2*x^5*z0 + 2*x^3*z0^3 - x^4*y - 2*x^4*z0 - 2*x^2*y*z0^2 + 2*x^2*z0^3 - 2*x^3*y - x^3*z0 + 2*x^2*z0)/y) * dx,
+ ((-2*x^30*z0^4 - x^31*z0^2 + 2*x^29*z0^4 + 2*x^27*y^2*z0^4 + x^28*y^2*z0^2 - 2*x^26*y^2*z0^4 - 2*x^31 + 2*x^27*z0^4 + 2*x^30 + 2*x^28*y^2 + x^28*z0^2 - 2*x^26*z0^4 - 2*x^27*y^2 + 2*x^28 - 2*x^24*z0^4 - 2*x^27 - x^25*z0^2 + 2*x^23*z0^4 - 2*x^25 + 2*x^21*z0^4 + 2*x^24 + x^22*z0^2 - 2*x^20*z0^4 + 2*x^22 - 2*x^18*z0^4 - 2*x^21 - x^19*z0^2 + 2*x^17*z0^4 - 2*x^19 + 2*x^15*z0^4 + 2*x^18 + x^16*z0^2 - 2*x^14*z0^4 + 2*x^16 - 2*x^12*z0^4 - 2*x^15 - x^13*z0^2 - 2*x^11*z0^4 + x^10*z0^4 - 2*x^13 + x^9*y*z0^3 + x^9*z0^4 + 2*x^12 - 2*x^10*y*z0 + 2*x^8*y*z0^3 - 2*x^8*z0^4 - x^11 + 2*x^9*y*z0 - 2*x^9*z0^2 + x^7*z0^4 + 2*x^8*y*z0 - x^8*z0^2 + x^6*z0^4 - 2*x^9 - x^7*y*z0 - 2*x^7*z0^2 + x^5*y*z0^3 - x^5*z0^4 - x^8 + 2*x^6*y*z0 + x^6*z0^2 + x^4*y^2*z0^2 - 2*x^4*z0^4 - 2*x^7 - 2*x^5*z0^2 + x^3*y*z0^3 - 2*x^3*z0^4 - 2*x^4*z0^2 + x^2*y*z0^3 - 2*x^2*z0^4 + 2*x^5 + 2*x^3*y*z0 - 2*x^3*z0^2 - 2*x^2*y*z0 - x^2*z0^2 + 2*x^3 + x^2)/y) * dx,
+ ((x^31*z0^3 - x^28*y^2*z0^3 + x^31*z0 + 2*x^29*z0^3 - x^30*z0 - x^28*y^2*z0 - x^28*z0^3 - 2*x^26*y^2*z0^3 + 2*x^29*z0 + x^27*y^2*z0 + x^27*z0^3 - x^28*z0 - 2*x^26*y^2*z0 - 2*x^26*z0^3 - x^24*y^2*z0^3 + x^27*z0 + x^25*z0^3 - 2*x^26*z0 - x^24*z0^3 + x^25*z0 + 2*x^23*z0^3 - x^24*z0 - x^22*z0^3 + 2*x^23*z0 + x^21*z0^3 - x^22*z0 - 2*x^20*z0^3 + x^21*z0 + x^19*z0^3 - 2*x^20*z0 - x^18*z0^3 + x^19*z0 + 2*x^17*z0^3 - x^18*z0 - x^16*z0^3 + 2*x^17*z0 + x^15*z0^3 - x^16*z0 - 2*x^14*z0^3 + x^15*z0 + x^13*z0^3 - 2*x^14*z0 - x^12*z0^3 + x^13*z0 + 2*x^11*z0^3 - x^9*y*z0^4 - x^12*z0 + 2*x^10*y*z0^2 - x^10*z0^3 + 2*x^11*z0 - x^9*y*z0^2 + x^9*z0^3 - x^7*y*z0^4 + 2*x^10*y - x^8*y*z0^2 + x^6*y*z0^4 + x^9*y + x^9*z0 - 2*x^7*y*z0^2 - x^7*z0^3 + 2*x^5*y*z0^4 - x^8*y - 2*x^8*z0 - x^6*y*z0^2 + x^4*y^2*z0^3 + x^7*z0 + 2*x^5*y*z0^2 - 2*x^5*z0^3 + x^6*z0 - x^4*z0^3 + x^2*y*z0^4 + x^5*y - x^5*z0 + x^3*y*z0^2 + x^3*z0^3 + 2*x^4*z0 - x^2*y*z0^2 - x^2*z0^3 + 2*x^3*y + 2*x^3*z0 + x^2*y + x^2*z0)/y) * dx,
+ ((2*x^31*z0^4 + x^30*z0^4 - 2*x^28*y^2*z0^4 - x^31*z0^2 - x^29*z0^4 - x^27*y^2*z0^4 - 2*x^30*z0^2 + x^28*y^2*z0^2 - 2*x^28*z0^4 + x^26*y^2*z0^4 - 2*x^31 + 2*x^27*y^2*z0^2 - x^27*z0^4 - 2*x^30 + 2*x^28*y^2 + x^28*z0^2 + x^26*z0^4 + 2*x^27*y^2 + 2*x^27*z0^2 + 2*x^25*z0^4 + 2*x^28 + x^24*z0^4 + 2*x^27 - x^25*z0^2 - x^23*z0^4 - 2*x^24*z0^2 - 2*x^22*z0^4 - 2*x^25 - x^21*z0^4 - 2*x^24 + x^22*z0^2 + x^20*z0^4 + 2*x^21*z0^2 + 2*x^19*z0^4 + 2*x^22 + x^18*z0^4 + 2*x^21 - x^19*z0^2 - x^17*z0^4 - 2*x^18*z0^2 - 2*x^16*z0^4 - 2*x^19 - x^15*z0^4 - 2*x^18 + x^16*z0^2 + x^14*z0^4 + 2*x^15*z0^2 + 2*x^13*z0^4 + 2*x^16 + x^12*z0^4 + 2*x^15 - x^13*z0^2 - 2*x^12*z0^2 - x^10*y*z0^3 - x^10*z0^4 - 2*x^13 + x^9*y*z0^3 - 2*x^9*z0^4 - 2*x^12 - 2*x^10*y*z0 - x^10*z0^2 - 2*x^8*y*z0^3 - 2*x^8*z0^4 + 2*x^11 + 2*x^9*y*z0 + 2*x^9*z0^2 - x^7*y*z0^3 - 2*x^7*z0^4 + 2*x^10 + x^8*y*z0 - x^8*z0^2 - 2*x^6*y*z0^3 - 2*x^6*z0^4 + x^4*y^2*z0^4 - x^9 + 2*x^7*y*z0 - x^5*y*z0^3 + 2*x^5*z0^4 + 2*x^8 - x^6*y*z0 + x^6*z0^2 + 2*x^4*y*z0^3 - x^4*z0^4 + 2*x^7 - x^5*y*z0 + 2*x^6 + x^4*y*z0 - x^4*z0^2 + x^2*y*z0^3 - 2*x^2*z0^4 - 2*x^5 - 2*x^3*y*z0 + x^3*z0^2 - x^2*y*z0 - 2*x^2*z0^2 + 2*x^3 + x^2)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^8 + x^5*y^2 + x^5 - x^2)/y) * dx,
+ ((-x^8*z0 + x^5*y^2*z0 + x^5*z0 - x^2*z0)/y) * dx,
+ ((-x^8*z0^2 + x^5*y^2*z0^2 + x^5*z0^2 - x^2*z0^2)/y) * dx,
+ ((-x^8*z0^3 + x^5*y^2*z0^3 + x^5*z0^3 - x^2*z0^3)/y) * dx,
+ ((-x^8*z0^4 + x^5*y^2*z0^4 + x^5*z0^4 - x^2*z0^4)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^9 + x^6*y^2 + x^6 - x^3)/y) * dx,
+ ((-x^9*z0 + x^6*y^2*z0 + x^6*z0 - x^3*z0)/y) * dx,
+ ((-x^9*z0^2 + x^6*y^2*z0^2 + x^6*z0^2 - x^3*z0^2)/y) * dx,
+ ((-x^9*z0^3 + x^6*y^2*z0^3 + x^6*z0^3 - x^3*z0^3)/y) * dx,
+ ((-x^9*z0^4 + x^6*y^2*z0^4 + x^6*z0^4 - x^3*z0^4)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^31*z0^4 - x^30*z0^4 + x^28*y^2*z0^4 + x^31*z0^2 - 2*x^29*z0^4 + x^27*y^2*z0^4 - x^28*y^2*z0^2 + x^28*z0^4 + 2*x^26*y^2*z0^4 + 2*x^31 + x^27*z0^4 - 2*x^28*y^2 - x^28*z0^2 + 2*x^26*z0^4 - x^25*z0^4 - 2*x^28 - x^24*z0^4 + x^25*z0^2 - 2*x^23*z0^4 + x^22*z0^4 + 2*x^25 + x^21*z0^4 - x^22*z0^2 + 2*x^20*z0^4 - x^19*z0^4 - 2*x^22 - x^18*z0^4 + x^19*z0^2 - 2*x^17*z0^4 + x^16*z0^4 + 2*x^19 + x^15*z0^4 - x^16*z0^2 + 2*x^14*z0^4 - x^13*z0^4 - 2*x^16 - x^12*z0^4 + x^13*z0^2 + 2*x^11*z0^4 - 2*x^10*y*z0^3 - x^10*z0^4 + 2*x^13 - x^9*y*z0^3 + x^9*z0^4 + 2*x^10*y*z0 - x^10*z0^2 + x^8*z0^4 + 2*x^11 - 2*x^9*y*z0 + x^7*y*z0^3 - x^10 + x^8*y*z0 - x^8*z0^2 - x^6*y*z0^3 + x^6*z0^4 + x^7*y^2 + 2*x^7*y*z0 - 2*x^7*z0^2 + 2*x^5*y*z0^3 + x^5*z0^4 - x^8 + x^6*y*z0 - 2*x^6*z0^2 + x^4*y*z0^3 + 2*x^4*z0^4 - x^7 - x^5*z0^2 - x^3*y*z0^3 + 2*x^3*z0^4 - 2*x^6 + 2*x^2*y*z0^3 - x^2*z0^4 - 2*x^5 - x^3*z0^2 - 2*x^2*y*z0 - x^2*z0^2 - x^3)/y) * dx,
+ ((2*x^30*z0^3 + 2*x^31*z0 - 2*x^29*z0^3 - 2*x^27*y^2*z0^3 - x^30*z0 - 2*x^28*y^2*z0 + 2*x^26*y^2*z0^3 + x^27*y^2*z0 - x^27*z0^3 + x^28*z0 + 2*x^26*z0^3 - x^24*y^2*z0^3 + x^27*z0 + 2*x^25*y^2*z0 + x^24*z0^3 - x^25*z0 - 2*x^23*z0^3 - x^24*z0 - x^21*z0^3 + x^22*z0 + 2*x^20*z0^3 + x^21*z0 + x^18*z0^3 - x^19*z0 - 2*x^17*z0^3 - x^18*z0 - x^15*z0^3 + x^16*z0 + 2*x^14*z0^3 + x^15*z0 + x^12*z0^3 - x^13*z0 - 2*x^11*z0^3 - x^12*z0 + 2*x^8*y*z0^4 - 2*x^9*y*z0^2 + 2*x^9*z0^3 - 2*x^7*y*z0^4 - x^10*y - x^10*z0 + 2*x^8*y*z0^2 - 2*x^8*z0^3 + x^6*y*z0^4 + x^9*z0 + x^7*y^2*z0 + x^7*y*z0^2 - 2*x^7*z0^3 + 2*x^5*y*z0^4 + x^8*y - x^8*z0 - 2*x^6*y*z0^2 + x^6*z0^3 - 2*x^4*y*z0^4 - x^7*z0 + x^5*y*z0^2 - 2*x^5*z0^3 + x^3*y*z0^4 - 2*x^6*y - x^6*z0 - x^4*y*z0^2 + x^4*z0^3 + x^2*y*z0^4 + 2*x^5*y + 2*x^5*z0 - 2*x^3*z0^3 + x^4*y + 2*x^4*z0 + 2*x^2*y*z0^2 - 2*x^2*z0^3 + 2*x^3*y + x^3*z0 - 2*x^2*z0)/y) * dx,
+ ((2*x^30*z0^4 + x^31*z0^2 - 2*x^29*z0^4 - 2*x^27*y^2*z0^4 - x^28*y^2*z0^2 + 2*x^26*y^2*z0^4 + 2*x^31 - 2*x^27*z0^4 - 2*x^30 - 2*x^28*y^2 - x^28*z0^2 + 2*x^26*z0^4 + 2*x^27*y^2 - 2*x^28 + 2*x^24*z0^4 + 2*x^27 + x^25*z0^2 - 2*x^23*z0^4 + 2*x^25 - 2*x^21*z0^4 - 2*x^24 - x^22*z0^2 + 2*x^20*z0^4 - 2*x^22 + 2*x^18*z0^4 + 2*x^21 + x^19*z0^2 - 2*x^17*z0^4 + 2*x^19 - 2*x^15*z0^4 - 2*x^18 - x^16*z0^2 + 2*x^14*z0^4 - 2*x^16 + 2*x^12*z0^4 + 2*x^15 + x^13*z0^2 + 2*x^11*z0^4 - x^10*z0^4 + 2*x^13 - x^9*y*z0^3 - x^9*z0^4 - 2*x^12 + 2*x^10*y*z0 - x^10*z0^2 - 2*x^8*y*z0^3 + 2*x^8*z0^4 + x^11 - 2*x^9*y*z0 + 2*x^9*z0^2 + x^7*y^2*z0^2 - x^7*z0^4 - 2*x^8*y*z0 + x^8*z0^2 - x^6*z0^4 + 2*x^9 + x^7*y*z0 + 2*x^7*z0^2 - x^5*y*z0^3 + x^5*z0^4 + x^8 - 2*x^6*y*z0 - x^6*z0^2 + 2*x^4*z0^4 + 2*x^7 + 2*x^5*z0^2 - x^3*y*z0^3 + 2*x^3*z0^4 + 2*x^4*z0^2 - x^2*y*z0^3 + 2*x^2*z0^4 - 2*x^5 - 2*x^3*y*z0 + 2*x^3*z0^2 + 2*x^2*y*z0 + x^2*z0^2 - 2*x^3 - x^2)/y) * dx,
+ ((-x^31*z0^3 + x^28*y^2*z0^3 - x^31*z0 - 2*x^29*z0^3 + x^30*z0 + x^28*y^2*z0 + x^28*z0^3 + 2*x^26*y^2*z0^3 - 2*x^29*z0 - x^27*y^2*z0 - x^27*z0^3 + x^28*z0 + 2*x^26*y^2*z0 + 2*x^26*z0^3 + x^24*y^2*z0^3 - x^27*z0 - x^25*z0^3 + 2*x^26*z0 + x^24*z0^3 - x^25*z0 - 2*x^23*z0^3 + x^24*z0 + x^22*z0^3 - 2*x^23*z0 - x^21*z0^3 + x^22*z0 + 2*x^20*z0^3 - x^21*z0 - x^19*z0^3 + 2*x^20*z0 + x^18*z0^3 - x^19*z0 - 2*x^17*z0^3 + x^18*z0 + x^16*z0^3 - 2*x^17*z0 - x^15*z0^3 + x^16*z0 + 2*x^14*z0^3 - x^15*z0 - x^13*z0^3 + 2*x^14*z0 + x^12*z0^3 - x^13*z0 - 2*x^11*z0^3 + x^9*y*z0^4 + x^12*z0 - 2*x^10*y*z0^2 - 2*x^11*z0 + x^9*y*z0^2 - x^9*z0^3 + x^7*y^2*z0^3 + x^7*y*z0^4 - 2*x^10*y + x^8*y*z0^2 - x^6*y*z0^4 - x^9*y - x^9*z0 + 2*x^7*y*z0^2 + x^7*z0^3 - 2*x^5*y*z0^4 + x^8*y + 2*x^8*z0 + x^6*y*z0^2 - x^7*z0 - 2*x^5*y*z0^2 + 2*x^5*z0^3 - x^6*z0 + x^4*z0^3 - x^2*y*z0^4 - x^5*y + x^5*z0 - x^3*y*z0^2 - x^3*z0^3 - 2*x^4*z0 + x^2*y*z0^2 + x^2*z0^3 - 2*x^3*y - 2*x^3*z0 - x^2*y - x^2*z0)/y) * dx,
+ ((-2*x^31*z0^4 - x^30*z0^4 + 2*x^28*y^2*z0^4 + x^31*z0^2 + x^29*z0^4 + x^27*y^2*z0^4 + 2*x^30*z0^2 - x^28*y^2*z0^2 + 2*x^28*z0^4 - x^26*y^2*z0^4 + 2*x^31 - 2*x^27*y^2*z0^2 + x^27*z0^4 + 2*x^30 - 2*x^28*y^2 - x^28*z0^2 - x^26*z0^4 - 2*x^27*y^2 - 2*x^27*z0^2 - 2*x^25*z0^4 - 2*x^28 - x^24*z0^4 - 2*x^27 + x^25*z0^2 + x^23*z0^4 + 2*x^24*z0^2 + 2*x^22*z0^4 + 2*x^25 + x^21*z0^4 + 2*x^24 - x^22*z0^2 - x^20*z0^4 - 2*x^21*z0^2 - 2*x^19*z0^4 - 2*x^22 - x^18*z0^4 - 2*x^21 + x^19*z0^2 + x^17*z0^4 + 2*x^18*z0^2 + 2*x^16*z0^4 + 2*x^19 + x^15*z0^4 + 2*x^18 - x^16*z0^2 - x^14*z0^4 - 2*x^15*z0^2 - 2*x^13*z0^4 - 2*x^16 - x^12*z0^4 - 2*x^15 + x^13*z0^2 + 2*x^12*z0^2 + x^10*y*z0^3 + 2*x^13 - x^9*y*z0^3 + 2*x^9*z0^4 + x^7*y^2*z0^4 + 2*x^12 + 2*x^10*y*z0 + x^10*z0^2 + 2*x^8*y*z0^3 + 2*x^8*z0^4 - 2*x^11 - 2*x^9*y*z0 - 2*x^9*z0^2 + x^7*y*z0^3 + 2*x^7*z0^4 - 2*x^10 - x^8*y*z0 + x^8*z0^2 + 2*x^6*y*z0^3 + 2*x^6*z0^4 + x^9 - 2*x^7*y*z0 + x^5*y*z0^3 - 2*x^5*z0^4 - 2*x^8 + x^6*y*z0 - x^6*z0^2 - 2*x^4*y*z0^3 + x^4*z0^4 - 2*x^7 + x^5*y*z0 - 2*x^6 - x^4*y*z0 + x^4*z0^2 - x^2*y*z0^3 + 2*x^2*z0^4 + 2*x^5 + 2*x^3*y*z0 - x^3*z0^2 + x^2*y*z0 + 2*x^2*z0^2 - 2*x^3 - x^2)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^11 + x^8*y^2 + x^8 - x^5 + x^2)/y) * dx,
+ ((-x^11*z0 + x^8*y^2*z0 + x^8*z0 - x^5*z0 + x^2*z0)/y) * dx,
+ ((-x^11*z0^2 + x^8*y^2*z0^2 + x^8*z0^2 - x^5*z0^2 + x^2*z0^2)/y) * dx,
+ ((-x^11*z0^3 + x^8*y^2*z0^3 + x^8*z0^3 - x^5*z0^3 + x^2*z0^3)/y) * dx,
+ ((-x^11*z0^4 + x^8*y^2*z0^4 + x^8*z0^4 - x^5*z0^4 + x^2*z0^4)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^12 + x^9*y^2 + x^9 - x^6 + x^3)/y) * dx,
+ ((-x^12*z0 + x^9*y^2*z0 + x^9*z0 - x^6*z0 + x^3*z0)/y) * dx,
+ ((-x^12*z0^2 + x^9*y^2*z0^2 + x^9*z0^2 - x^6*z0^2 + x^3*z0^2)/y) * dx,
+ ((-x^12*z0^3 + x^9*y^2*z0^3 + x^9*z0^3 - x^6*z0^3 + x^3*z0^3)/y) * dx,
+ ((-x^12*z0^4 + x^9*y^2*z0^4 + x^9*z0^4 - x^6*z0^4 + x^3*z0^4)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((x^31*z0^4 + x^30*z0^4 - x^28*y^2*z0^4 - x^31*z0^2 + 2*x^29*z0^4 - x^27*y^2*z0^4 + x^28*y^2*z0^2 - x^28*z0^4 - 2*x^26*y^2*z0^4 - 2*x^31 - x^27*z0^4 + 2*x^28*y^2 + x^28*z0^2 - 2*x^26*z0^4 + x^25*z0^4 + 2*x^28 + x^24*z0^4 - x^25*z0^2 + 2*x^23*z0^4 - x^22*z0^4 - 2*x^25 - x^21*z0^4 + x^22*z0^2 - 2*x^20*z0^4 + x^19*z0^4 + 2*x^22 + x^18*z0^4 - x^19*z0^2 + 2*x^17*z0^4 - x^16*z0^4 - 2*x^19 - x^15*z0^4 + x^16*z0^2 - 2*x^14*z0^4 + x^13*z0^4 + 2*x^16 + x^12*z0^4 - x^13*z0^2 - 2*x^11*z0^4 + 2*x^10*y*z0^3 + x^10*z0^4 + 2*x^13 + x^9*y*z0^3 - x^9*z0^4 + x^10*y^2 - 2*x^10*y*z0 + x^10*z0^2 - x^8*z0^4 - 2*x^11 + 2*x^9*y*z0 - x^7*y*z0^3 + x^10 - x^8*y*z0 + x^8*z0^2 + x^6*y*z0^3 - x^6*z0^4 - 2*x^7*y*z0 + 2*x^7*z0^2 - 2*x^5*y*z0^3 - x^5*z0^4 + x^8 - x^6*y*z0 + 2*x^6*z0^2 - x^4*y*z0^3 - 2*x^4*z0^4 + x^7 + x^5*z0^2 + x^3*y*z0^3 - 2*x^3*z0^4 + 2*x^6 - 2*x^2*y*z0^3 + x^2*z0^4 + 2*x^5 + x^3*z0^2 + 2*x^2*y*z0 + x^2*z0^2 + x^3)/y) * dx,
+ ((-2*x^30*z0^3 - 2*x^31*z0 + 2*x^29*z0^3 + 2*x^27*y^2*z0^3 + x^30*z0 + 2*x^28*y^2*z0 - 2*x^26*y^2*z0^3 - x^27*y^2*z0 + x^27*z0^3 - x^28*z0 - 2*x^26*z0^3 + x^24*y^2*z0^3 - x^27*z0 - 2*x^25*y^2*z0 - x^24*z0^3 + x^25*z0 + 2*x^23*z0^3 + x^24*z0 + x^21*z0^3 - x^22*z0 - 2*x^20*z0^3 - x^21*z0 - x^18*z0^3 + x^19*z0 + 2*x^17*z0^3 + x^18*z0 + x^15*z0^3 - x^16*z0 - 2*x^14*z0^3 - x^15*z0 - x^12*z0^3 + 2*x^11*z0^3 + x^12*z0 + x^10*y^2*z0 - 2*x^8*y*z0^4 + 2*x^9*y*z0^2 - 2*x^9*z0^3 + 2*x^7*y*z0^4 + x^10*y + x^10*z0 - 2*x^8*y*z0^2 + 2*x^8*z0^3 - x^6*y*z0^4 - x^9*z0 - x^7*y*z0^2 + 2*x^7*z0^3 - 2*x^5*y*z0^4 - x^8*y + x^8*z0 + 2*x^6*y*z0^2 - x^6*z0^3 + 2*x^4*y*z0^4 + x^7*z0 - x^5*y*z0^2 + 2*x^5*z0^3 - x^3*y*z0^4 + 2*x^6*y + x^6*z0 + x^4*y*z0^2 - x^4*z0^3 - x^2*y*z0^4 - 2*x^5*y - 2*x^5*z0 + 2*x^3*z0^3 - x^4*y - 2*x^4*z0 - 2*x^2*y*z0^2 + 2*x^2*z0^3 - 2*x^3*y - x^3*z0 + 2*x^2*z0)/y) * dx,
+ ((-2*x^30*z0^4 - x^31*z0^2 + 2*x^29*z0^4 + 2*x^27*y^2*z0^4 + x^28*y^2*z0^2 - 2*x^26*y^2*z0^4 - 2*x^31 + 2*x^27*z0^4 + 2*x^30 + 2*x^28*y^2 + x^28*z0^2 - 2*x^26*z0^4 - 2*x^27*y^2 + 2*x^28 - 2*x^24*z0^4 - 2*x^27 - x^25*z0^2 + 2*x^23*z0^4 - 2*x^25 + 2*x^21*z0^4 + 2*x^24 + x^22*z0^2 - 2*x^20*z0^4 + 2*x^22 - 2*x^18*z0^4 - 2*x^21 - x^19*z0^2 + 2*x^17*z0^4 - 2*x^19 + 2*x^15*z0^4 + 2*x^18 + x^16*z0^2 - 2*x^14*z0^4 + 2*x^16 - 2*x^12*z0^4 - 2*x^15 - 2*x^13*z0^2 - 2*x^11*z0^4 + x^10*y^2*z0^2 + x^10*z0^4 - 2*x^13 + x^9*y*z0^3 + x^9*z0^4 + 2*x^12 - 2*x^10*y*z0 + x^10*z0^2 + 2*x^8*y*z0^3 - 2*x^8*z0^4 - x^11 + 2*x^9*y*z0 - 2*x^9*z0^2 + x^7*z0^4 + 2*x^8*y*z0 - x^8*z0^2 + x^6*z0^4 - 2*x^9 - x^7*y*z0 - 2*x^7*z0^2 + x^5*y*z0^3 - x^5*z0^4 - x^8 + 2*x^6*y*z0 + x^6*z0^2 - 2*x^4*z0^4 - 2*x^7 - 2*x^5*z0^2 + x^3*y*z0^3 - 2*x^3*z0^4 - 2*x^4*z0^2 + x^2*y*z0^3 - 2*x^2*z0^4 + 2*x^5 + 2*x^3*y*z0 - 2*x^3*z0^2 - 2*x^2*y*z0 - x^2*z0^2 + 2*x^3 + x^2)/y) * dx,
+ ((x^31*z0^3 - x^28*y^2*z0^3 + x^31*z0 + 2*x^29*z0^3 - x^30*z0 - x^28*y^2*z0 - x^28*z0^3 - 2*x^26*y^2*z0^3 + 2*x^29*z0 + x^27*y^2*z0 + x^27*z0^3 - x^28*z0 - 2*x^26*y^2*z0 - 2*x^26*z0^3 - x^24*y^2*z0^3 + x^27*z0 + x^25*z0^3 - 2*x^26*z0 - x^24*z0^3 + x^25*z0 + 2*x^23*z0^3 - x^24*z0 - x^22*z0^3 + 2*x^23*z0 + x^21*z0^3 - x^22*z0 - 2*x^20*z0^3 + x^21*z0 + x^19*z0^3 - 2*x^20*z0 - x^18*z0^3 + x^19*z0 + 2*x^17*z0^3 - x^18*z0 - x^16*z0^3 + 2*x^17*z0 + x^15*z0^3 - x^16*z0 - 2*x^14*z0^3 + x^15*z0 - 2*x^14*z0 - x^12*z0^3 + x^10*y^2*z0^3 + x^13*z0 + 2*x^11*z0^3 - x^9*y*z0^4 - x^12*z0 + 2*x^10*y*z0^2 + 2*x^11*z0 - x^9*y*z0^2 + x^9*z0^3 - x^7*y*z0^4 + 2*x^10*y - x^8*y*z0^2 + x^6*y*z0^4 + x^9*y + x^9*z0 - 2*x^7*y*z0^2 - x^7*z0^3 + 2*x^5*y*z0^4 - x^8*y - 2*x^8*z0 - x^6*y*z0^2 + x^7*z0 + 2*x^5*y*z0^2 - 2*x^5*z0^3 + x^6*z0 - x^4*z0^3 + x^2*y*z0^4 + x^5*y - x^5*z0 + x^3*y*z0^2 + x^3*z0^3 + 2*x^4*z0 - x^2*y*z0^2 - x^2*z0^3 + 2*x^3*y + 2*x^3*z0 + x^2*y + x^2*z0)/y) * dx,
+ ((2*x^31*z0^4 + x^30*z0^4 - 2*x^28*y^2*z0^4 - x^31*z0^2 - x^29*z0^4 - x^27*y^2*z0^4 - 2*x^30*z0^2 + x^28*y^2*z0^2 - 2*x^28*z0^4 + x^26*y^2*z0^4 - 2*x^31 + 2*x^27*y^2*z0^2 - x^27*z0^4 - 2*x^30 + 2*x^28*y^2 + x^28*z0^2 + x^26*z0^4 + 2*x^27*y^2 + 2*x^27*z0^2 + 2*x^25*z0^4 + 2*x^28 + x^24*z0^4 + 2*x^27 - x^25*z0^2 - x^23*z0^4 - 2*x^24*z0^2 - 2*x^22*z0^4 - 2*x^25 - x^21*z0^4 - 2*x^24 + x^22*z0^2 + x^20*z0^4 + 2*x^21*z0^2 + 2*x^19*z0^4 + 2*x^22 + x^18*z0^4 + 2*x^21 - x^19*z0^2 - x^17*z0^4 - 2*x^18*z0^2 - 2*x^16*z0^4 - 2*x^19 - x^15*z0^4 - 2*x^18 + x^16*z0^2 + x^14*z0^4 + 2*x^15*z0^2 + x^13*z0^4 + 2*x^16 + x^12*z0^4 + x^10*y^2*z0^4 + 2*x^15 - x^13*z0^2 - 2*x^12*z0^2 - x^10*y*z0^3 - 2*x^13 + x^9*y*z0^3 - 2*x^9*z0^4 - 2*x^12 - 2*x^10*y*z0 - x^10*z0^2 - 2*x^8*y*z0^3 - 2*x^8*z0^4 + 2*x^11 + 2*x^9*y*z0 + 2*x^9*z0^2 - x^7*y*z0^3 - 2*x^7*z0^4 + 2*x^10 + x^8*y*z0 - x^8*z0^2 - 2*x^6*y*z0^3 - 2*x^6*z0^4 - x^9 + 2*x^7*y*z0 - x^5*y*z0^3 + 2*x^5*z0^4 + 2*x^8 - x^6*y*z0 + x^6*z0^2 + 2*x^4*y*z0^3 - x^4*z0^4 + 2*x^7 - x^5*y*z0 + 2*x^6 + x^4*y*z0 - x^4*z0^2 + x^2*y*z0^3 - 2*x^2*z0^4 - 2*x^5 - 2*x^3*y*z0 + x^3*z0^2 - x^2*y*z0 - 2*x^2*z0^2 + 2*x^3 + x^2)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^14 + x^11*y^2 + x^11 - x^8 + x^5 - x^2)/y) * dx,
+ ((-x^14*z0 + x^11*y^2*z0 + x^11*z0 - x^8*z0 + x^5*z0 - x^2*z0)/y) * dx,
+ ((-x^14*z0^2 + x^11*y^2*z0^2 + x^11*z0^2 - x^8*z0^2 + x^5*z0^2 - x^2*z0^2)/y) * dx,
+ ((-x^14*z0^3 + x^11*y^2*z0^3 + x^11*z0^3 - x^8*z0^3 + x^5*z0^3 - x^2*z0^3)/y) * dx,
+ ((-x^14*z0^4 + x^11*y^2*z0^4 + x^11*z0^4 - x^8*z0^4 + x^5*z0^4 - x^2*z0^4)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^15 + x^12*y^2 + x^12 - x^9 + x^6 - x^3)/y) * dx,
+ ((-x^15*z0 + x^12*y^2*z0 + x^12*z0 - x^9*z0 + x^6*z0 - x^3*z0)/y) * dx,
+ ((-x^15*z0^2 + x^12*y^2*z0^2 + x^12*z0^2 - x^9*z0^2 + x^6*z0^2 - x^3*z0^2)/y) * dx,
+ ((-x^15*z0^3 + x^12*y^2*z0^3 + x^12*z0^3 - x^9*z0^3 + x^6*z0^3 - x^3*z0^3)/y) * dx,
+ ((-x^15*z0^4 + x^12*y^2*z0^4 + x^12*z0^4 - x^9*z0^4 + x^6*z0^4 - x^3*z0^4)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^31*z0^4 - x^30*z0^4 + x^28*y^2*z0^4 + x^31*z0^2 - 2*x^29*z0^4 + x^27*y^2*z0^4 - x^28*y^2*z0^2 + x^28*z0^4 + 2*x^26*y^2*z0^4 + 2*x^31 + x^27*z0^4 - 2*x^28*y^2 - x^28*z0^2 + 2*x^26*z0^4 - x^25*z0^4 - 2*x^28 - x^24*z0^4 + x^25*z0^2 - 2*x^23*z0^4 + x^22*z0^4 + 2*x^25 + x^21*z0^4 - x^22*z0^2 + 2*x^20*z0^4 - x^19*z0^4 - 2*x^22 - x^18*z0^4 + x^19*z0^2 - 2*x^17*z0^4 + x^16*z0^4 + 2*x^19 + x^15*z0^4 - x^16*z0^2 + 2*x^14*z0^4 - x^13*z0^4 + 2*x^16 - x^12*z0^4 + x^13*y^2 + x^13*z0^2 + 2*x^11*z0^4 - 2*x^10*y*z0^3 - x^10*z0^4 - 2*x^13 - x^9*y*z0^3 + x^9*z0^4 + 2*x^10*y*z0 - x^10*z0^2 + x^8*z0^4 + 2*x^11 - 2*x^9*y*z0 + x^7*y*z0^3 - x^10 + x^8*y*z0 - x^8*z0^2 - x^6*y*z0^3 + x^6*z0^4 + 2*x^7*y*z0 - 2*x^7*z0^2 + 2*x^5*y*z0^3 + x^5*z0^4 - x^8 + x^6*y*z0 - 2*x^6*z0^2 + x^4*y*z0^3 + 2*x^4*z0^4 - x^7 - x^5*z0^2 - x^3*y*z0^3 + 2*x^3*z0^4 - 2*x^6 + 2*x^2*y*z0^3 - x^2*z0^4 - 2*x^5 - x^3*z0^2 - 2*x^2*y*z0 - x^2*z0^2 - x^3)/y) * dx,
+ ((2*x^30*z0^3 + 2*x^31*z0 - 2*x^29*z0^3 - 2*x^27*y^2*z0^3 - x^30*z0 - 2*x^28*y^2*z0 + 2*x^26*y^2*z0^3 + x^27*y^2*z0 - x^27*z0^3 + x^28*z0 + 2*x^26*z0^3 - x^24*y^2*z0^3 + x^27*z0 + 2*x^25*y^2*z0 + x^24*z0^3 - x^25*z0 - 2*x^23*z0^3 - x^24*z0 - x^21*z0^3 + x^22*z0 + 2*x^20*z0^3 + x^21*z0 + x^18*z0^3 - x^19*z0 - 2*x^17*z0^3 - x^18*z0 - x^15*z0^3 + 2*x^14*z0^3 + x^15*z0 + x^13*y^2*z0 + x^12*z0^3 - 2*x^11*z0^3 - x^12*z0 + 2*x^8*y*z0^4 - 2*x^9*y*z0^2 + 2*x^9*z0^3 - 2*x^7*y*z0^4 - x^10*y - x^10*z0 + 2*x^8*y*z0^2 - 2*x^8*z0^3 + x^6*y*z0^4 + x^9*z0 + x^7*y*z0^2 - 2*x^7*z0^3 + 2*x^5*y*z0^4 + x^8*y - x^8*z0 - 2*x^6*y*z0^2 + x^6*z0^3 - 2*x^4*y*z0^4 - x^7*z0 + x^5*y*z0^2 - 2*x^5*z0^3 + x^3*y*z0^4 - 2*x^6*y - x^6*z0 - x^4*y*z0^2 + x^4*z0^3 + x^2*y*z0^4 + 2*x^5*y + 2*x^5*z0 - 2*x^3*z0^3 + x^4*y + 2*x^4*z0 + 2*x^2*y*z0^2 - 2*x^2*z0^3 + 2*x^3*y + x^3*z0 - 2*x^2*z0)/y) * dx,
+ ((2*x^30*z0^4 + x^31*z0^2 - 2*x^29*z0^4 - 2*x^27*y^2*z0^4 - x^28*y^2*z0^2 + 2*x^26*y^2*z0^4 + 2*x^31 - 2*x^27*z0^4 - 2*x^30 - 2*x^28*y^2 - x^28*z0^2 + 2*x^26*z0^4 + 2*x^27*y^2 - 2*x^28 + 2*x^24*z0^4 + 2*x^27 + x^25*z0^2 - 2*x^23*z0^4 + 2*x^25 - 2*x^21*z0^4 - 2*x^24 - x^22*z0^2 + 2*x^20*z0^4 - 2*x^22 + 2*x^18*z0^4 + 2*x^21 + x^19*z0^2 - 2*x^17*z0^4 + 2*x^19 - 2*x^15*z0^4 - 2*x^18 - 2*x^16*z0^2 + 2*x^14*z0^4 + x^13*y^2*z0^2 - 2*x^16 + 2*x^12*z0^4 + 2*x^15 + 2*x^13*z0^2 + 2*x^11*z0^4 - x^10*z0^4 + 2*x^13 - x^9*y*z0^3 - x^9*z0^4 - 2*x^12 + 2*x^10*y*z0 - x^10*z0^2 - 2*x^8*y*z0^3 + 2*x^8*z0^4 + x^11 - 2*x^9*y*z0 + 2*x^9*z0^2 - x^7*z0^4 - 2*x^8*y*z0 + x^8*z0^2 - x^6*z0^4 + 2*x^9 + x^7*y*z0 + 2*x^7*z0^2 - x^5*y*z0^3 + x^5*z0^4 + x^8 - 2*x^6*y*z0 - x^6*z0^2 + 2*x^4*z0^4 + 2*x^7 + 2*x^5*z0^2 - x^3*y*z0^3 + 2*x^3*z0^4 + 2*x^4*z0^2 - x^2*y*z0^3 + 2*x^2*z0^4 - 2*x^5 - 2*x^3*y*z0 + 2*x^3*z0^2 + 2*x^2*y*z0 + x^2*z0^2 - 2*x^3 - x^2)/y) * dx,
+ ((-x^31*z0^3 + x^28*y^2*z0^3 - x^31*z0 - 2*x^29*z0^3 + x^30*z0 + x^28*y^2*z0 + x^28*z0^3 + 2*x^26*y^2*z0^3 - 2*x^29*z0 - x^27*y^2*z0 - x^27*z0^3 + x^28*z0 + 2*x^26*y^2*z0 + 2*x^26*z0^3 + x^24*y^2*z0^3 - x^27*z0 - x^25*z0^3 + 2*x^26*z0 + x^24*z0^3 - x^25*z0 - 2*x^23*z0^3 + x^24*z0 + x^22*z0^3 - 2*x^23*z0 - x^21*z0^3 + x^22*z0 + 2*x^20*z0^3 - x^21*z0 - x^19*z0^3 + 2*x^20*z0 + x^18*z0^3 - x^19*z0 - 2*x^17*z0^3 + x^18*z0 - 2*x^17*z0 - x^15*z0^3 + x^13*y^2*z0^3 + x^16*z0 + 2*x^14*z0^3 - x^15*z0 + 2*x^14*z0 + x^12*z0^3 - x^13*z0 - 2*x^11*z0^3 + x^9*y*z0^4 + x^12*z0 - 2*x^10*y*z0^2 - 2*x^11*z0 + x^9*y*z0^2 - x^9*z0^3 + x^7*y*z0^4 - 2*x^10*y + x^8*y*z0^2 - x^6*y*z0^4 - x^9*y - x^9*z0 + 2*x^7*y*z0^2 + x^7*z0^3 - 2*x^5*y*z0^4 + x^8*y + 2*x^8*z0 + x^6*y*z0^2 - x^7*z0 - 2*x^5*y*z0^2 + 2*x^5*z0^3 - x^6*z0 + x^4*z0^3 - x^2*y*z0^4 - x^5*y + x^5*z0 - x^3*y*z0^2 - x^3*z0^3 - 2*x^4*z0 + x^2*y*z0^2 + x^2*z0^3 - 2*x^3*y - 2*x^3*z0 - x^2*y - x^2*z0)/y) * dx,
+ ((-2*x^31*z0^4 - x^30*z0^4 + 2*x^28*y^2*z0^4 + x^31*z0^2 + x^29*z0^4 + x^27*y^2*z0^4 + 2*x^30*z0^2 - x^28*y^2*z0^2 + 2*x^28*z0^4 - x^26*y^2*z0^4 + 2*x^31 - 2*x^27*y^2*z0^2 + x^27*z0^4 + 2*x^30 - 2*x^28*y^2 - x^28*z0^2 - x^26*z0^4 - 2*x^27*y^2 - 2*x^27*z0^2 - 2*x^25*z0^4 - 2*x^28 - x^24*z0^4 - 2*x^27 + x^25*z0^2 + x^23*z0^4 + 2*x^24*z0^2 + 2*x^22*z0^4 + 2*x^25 + x^21*z0^4 + 2*x^24 - x^22*z0^2 - x^20*z0^4 - 2*x^21*z0^2 - 2*x^19*z0^4 - 2*x^22 - x^18*z0^4 - 2*x^21 + x^19*z0^2 + x^17*z0^4 + 2*x^18*z0^2 + x^16*z0^4 + 2*x^19 + x^15*z0^4 + x^13*y^2*z0^4 + 2*x^18 - x^16*z0^2 - x^14*z0^4 - 2*x^15*z0^2 - x^13*z0^4 - 2*x^16 - x^12*z0^4 - 2*x^15 + x^13*z0^2 + 2*x^12*z0^2 + x^10*y*z0^3 + 2*x^13 - x^9*y*z0^3 + 2*x^9*z0^4 + 2*x^12 + 2*x^10*y*z0 + x^10*z0^2 + 2*x^8*y*z0^3 + 2*x^8*z0^4 - 2*x^11 - 2*x^9*y*z0 - 2*x^9*z0^2 + x^7*y*z0^3 + 2*x^7*z0^4 - 2*x^10 - x^8*y*z0 + x^8*z0^2 + 2*x^6*y*z0^3 + 2*x^6*z0^4 + x^9 - 2*x^7*y*z0 + x^5*y*z0^3 - 2*x^5*z0^4 - 2*x^8 + x^6*y*z0 - x^6*z0^2 - 2*x^4*y*z0^3 + x^4*z0^4 - 2*x^7 + x^5*y*z0 - 2*x^6 - x^4*y*z0 + x^4*z0^2 - x^2*y*z0^3 + 2*x^2*z0^4 + 2*x^5 + 2*x^3*y*z0 - x^3*z0^2 + x^2*y*z0 + 2*x^2*z0^2 - 2*x^3 - x^2)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^17 + x^14*y^2 + x^14 - x^11 + x^8 - x^5 + x^2)/y) * dx,
+ ((-x^17*z0 + x^14*y^2*z0 + x^14*z0 - x^11*z0 + x^8*z0 - x^5*z0 + x^2*z0)/y) * dx,
+ ((-x^17*z0^2 + x^14*y^2*z0^2 + x^14*z0^2 - x^11*z0^2 + x^8*z0^2 - x^5*z0^2 + x^2*z0^2)/y) * dx,
+ ((-x^17*z0^3 + x^14*y^2*z0^3 + x^14*z0^3 - x^11*z0^3 + x^8*z0^3 - x^5*z0^3 + x^2*z0^3)/y) * dx,
+ ((-x^17*z0^4 + x^14*y^2*z0^4 + x^14*z0^4 - x^11*z0^4 + x^8*z0^4 - x^5*z0^4 + x^2*z0^4)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^18 + x^15*y^2 + x^15 - x^12 + x^9 - x^6 + x^3)/y) * dx,
+ ((-x^18*z0 + x^15*y^2*z0 + x^15*z0 - x^12*z0 + x^9*z0 - x^6*z0 + x^3*z0)/y) * dx,
+ ((-x^18*z0^2 + x^15*y^2*z0^2 + x^15*z0^2 - x^12*z0^2 + x^9*z0^2 - x^6*z0^2 + x^3*z0^2)/y) * dx,
+ ((-x^18*z0^3 + x^15*y^2*z0^3 + x^15*z0^3 - x^12*z0^3 + x^9*z0^3 - x^6*z0^3 + x^3*z0^3)/y) * dx,
+ ((-x^18*z0^4 + x^15*y^2*z0^4 + x^15*z0^4 - x^12*z0^4 + x^9*z0^4 - x^6*z0^4 + x^3*z0^4)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((x^31*z0^4 + x^30*z0^4 - x^28*y^2*z0^4 - x^31*z0^2 + 2*x^29*z0^4 - x^27*y^2*z0^4 + x^28*y^2*z0^2 - x^28*z0^4 - 2*x^26*y^2*z0^4 - 2*x^31 - x^27*z0^4 + 2*x^28*y^2 + x^28*z0^2 - 2*x^26*z0^4 + x^25*z0^4 + 2*x^28 + x^24*z0^4 - x^25*z0^2 + 2*x^23*z0^4 - x^22*z0^4 - 2*x^25 - x^21*z0^4 + x^22*z0^2 - 2*x^20*z0^4 + x^19*z0^4 + 2*x^22 + x^18*z0^4 - x^19*z0^2 + 2*x^17*z0^4 - x^16*z0^4 + 2*x^19 - x^15*z0^4 + x^16*y^2 + x^16*z0^2 - 2*x^14*z0^4 + x^13*z0^4 - 2*x^16 + x^12*z0^4 - x^13*z0^2 - 2*x^11*z0^4 + 2*x^10*y*z0^3 + x^10*z0^4 + 2*x^13 + x^9*y*z0^3 - x^9*z0^4 - 2*x^10*y*z0 + x^10*z0^2 - x^8*z0^4 - 2*x^11 + 2*x^9*y*z0 - x^7*y*z0^3 + x^10 - x^8*y*z0 + x^8*z0^2 + x^6*y*z0^3 - x^6*z0^4 - 2*x^7*y*z0 + 2*x^7*z0^2 - 2*x^5*y*z0^3 - x^5*z0^4 + x^8 - x^6*y*z0 + 2*x^6*z0^2 - x^4*y*z0^3 - 2*x^4*z0^4 + x^7 + x^5*z0^2 + x^3*y*z0^3 - 2*x^3*z0^4 + 2*x^6 - 2*x^2*y*z0^3 + x^2*z0^4 + 2*x^5 + x^3*z0^2 + 2*x^2*y*z0 + x^2*z0^2 + x^3)/y) * dx,
+ ((-2*x^30*z0^3 - 2*x^31*z0 + 2*x^29*z0^3 + 2*x^27*y^2*z0^3 + x^30*z0 + 2*x^28*y^2*z0 - 2*x^26*y^2*z0^3 - x^27*y^2*z0 + x^27*z0^3 - x^28*z0 - 2*x^26*z0^3 + x^24*y^2*z0^3 - x^27*z0 - 2*x^25*y^2*z0 - x^24*z0^3 + x^25*z0 + 2*x^23*z0^3 + x^24*z0 + x^21*z0^3 - x^22*z0 - 2*x^20*z0^3 - x^21*z0 - x^18*z0^3 + 2*x^17*z0^3 + x^18*z0 + x^16*y^2*z0 + x^15*z0^3 - 2*x^14*z0^3 - x^15*z0 - x^12*z0^3 + 2*x^11*z0^3 + x^12*z0 - 2*x^8*y*z0^4 + 2*x^9*y*z0^2 - 2*x^9*z0^3 + 2*x^7*y*z0^4 + x^10*y + x^10*z0 - 2*x^8*y*z0^2 + 2*x^8*z0^3 - x^6*y*z0^4 - x^9*z0 - x^7*y*z0^2 + 2*x^7*z0^3 - 2*x^5*y*z0^4 - x^8*y + x^8*z0 + 2*x^6*y*z0^2 - x^6*z0^3 + 2*x^4*y*z0^4 + x^7*z0 - x^5*y*z0^2 + 2*x^5*z0^3 - x^3*y*z0^4 + 2*x^6*y + x^6*z0 + x^4*y*z0^2 - x^4*z0^3 - x^2*y*z0^4 - 2*x^5*y - 2*x^5*z0 + 2*x^3*z0^3 - x^4*y - 2*x^4*z0 - 2*x^2*y*z0^2 + 2*x^2*z0^3 - 2*x^3*y - x^3*z0 + 2*x^2*z0)/y) * dx,
+ ((-2*x^30*z0^4 - x^31*z0^2 + 2*x^29*z0^4 + 2*x^27*y^2*z0^4 + x^28*y^2*z0^2 - 2*x^26*y^2*z0^4 - 2*x^31 + 2*x^27*z0^4 + 2*x^30 + 2*x^28*y^2 + x^28*z0^2 - 2*x^26*z0^4 - 2*x^27*y^2 + 2*x^28 - 2*x^24*z0^4 - 2*x^27 - x^25*z0^2 + 2*x^23*z0^4 - 2*x^25 + 2*x^21*z0^4 + 2*x^24 + x^22*z0^2 - 2*x^20*z0^4 + 2*x^22 - 2*x^18*z0^4 - 2*x^21 - 2*x^19*z0^2 + 2*x^17*z0^4 + x^16*y^2*z0^2 - 2*x^19 + 2*x^15*z0^4 + 2*x^18 + 2*x^16*z0^2 - 2*x^14*z0^4 + 2*x^16 - 2*x^12*z0^4 - 2*x^15 - 2*x^13*z0^2 - 2*x^11*z0^4 + x^10*z0^4 - 2*x^13 + x^9*y*z0^3 + x^9*z0^4 + 2*x^12 - 2*x^10*y*z0 + x^10*z0^2 + 2*x^8*y*z0^3 - 2*x^8*z0^4 - x^11 + 2*x^9*y*z0 - 2*x^9*z0^2 + x^7*z0^4 + 2*x^8*y*z0 - x^8*z0^2 + x^6*z0^4 - 2*x^9 - x^7*y*z0 - 2*x^7*z0^2 + x^5*y*z0^3 - x^5*z0^4 - x^8 + 2*x^6*y*z0 + x^6*z0^2 - 2*x^4*z0^4 - 2*x^7 - 2*x^5*z0^2 + x^3*y*z0^3 - 2*x^3*z0^4 - 2*x^4*z0^2 + x^2*y*z0^3 - 2*x^2*z0^4 + 2*x^5 + 2*x^3*y*z0 - 2*x^3*z0^2 - 2*x^2*y*z0 - x^2*z0^2 + 2*x^3 + x^2)/y) * dx,
+ ((x^31*z0^3 - x^28*y^2*z0^3 + x^31*z0 + 2*x^29*z0^3 - x^30*z0 - x^28*y^2*z0 - x^28*z0^3 - 2*x^26*y^2*z0^3 + 2*x^29*z0 + x^27*y^2*z0 + x^27*z0^3 - x^28*z0 - 2*x^26*y^2*z0 - 2*x^26*z0^3 - x^24*y^2*z0^3 + x^27*z0 + x^25*z0^3 - 2*x^26*z0 - x^24*z0^3 + x^25*z0 + 2*x^23*z0^3 - x^24*z0 - x^22*z0^3 + 2*x^23*z0 + x^21*z0^3 - x^22*z0 - 2*x^20*z0^3 + x^21*z0 - 2*x^20*z0 - x^18*z0^3 + x^16*y^2*z0^3 + x^19*z0 + 2*x^17*z0^3 - x^18*z0 + 2*x^17*z0 + x^15*z0^3 - x^16*z0 - 2*x^14*z0^3 + x^15*z0 - 2*x^14*z0 - x^12*z0^3 + x^13*z0 + 2*x^11*z0^3 - x^9*y*z0^4 - x^12*z0 + 2*x^10*y*z0^2 + 2*x^11*z0 - x^9*y*z0^2 + x^9*z0^3 - x^7*y*z0^4 + 2*x^10*y - x^8*y*z0^2 + x^6*y*z0^4 + x^9*y + x^9*z0 - 2*x^7*y*z0^2 - x^7*z0^3 + 2*x^5*y*z0^4 - x^8*y - 2*x^8*z0 - x^6*y*z0^2 + x^7*z0 + 2*x^5*y*z0^2 - 2*x^5*z0^3 + x^6*z0 - x^4*z0^3 + x^2*y*z0^4 + x^5*y - x^5*z0 + x^3*y*z0^2 + x^3*z0^3 + 2*x^4*z0 - x^2*y*z0^2 - x^2*z0^3 + 2*x^3*y + 2*x^3*z0 + x^2*y + x^2*z0)/y) * dx,
+ ((2*x^31*z0^4 + x^30*z0^4 - 2*x^28*y^2*z0^4 - x^31*z0^2 - x^29*z0^4 - x^27*y^2*z0^4 - 2*x^30*z0^2 + x^28*y^2*z0^2 - 2*x^28*z0^4 + x^26*y^2*z0^4 - 2*x^31 + 2*x^27*y^2*z0^2 - x^27*z0^4 - 2*x^30 + 2*x^28*y^2 + x^28*z0^2 + x^26*z0^4 + 2*x^27*y^2 + 2*x^27*z0^2 + 2*x^25*z0^4 + 2*x^28 + x^24*z0^4 + 2*x^27 - x^25*z0^2 - x^23*z0^4 - 2*x^24*z0^2 - 2*x^22*z0^4 - 2*x^25 - x^21*z0^4 - 2*x^24 + x^22*z0^2 + x^20*z0^4 + 2*x^21*z0^2 + x^19*z0^4 + 2*x^22 + x^18*z0^4 + x^16*y^2*z0^4 + 2*x^21 - x^19*z0^2 - x^17*z0^4 - 2*x^18*z0^2 - x^16*z0^4 - 2*x^19 - x^15*z0^4 - 2*x^18 + x^16*z0^2 + x^14*z0^4 + 2*x^15*z0^2 + x^13*z0^4 + 2*x^16 + x^12*z0^4 + 2*x^15 - x^13*z0^2 - 2*x^12*z0^2 - x^10*y*z0^3 - 2*x^13 + x^9*y*z0^3 - 2*x^9*z0^4 - 2*x^12 - 2*x^10*y*z0 - x^10*z0^2 - 2*x^8*y*z0^3 - 2*x^8*z0^4 + 2*x^11 + 2*x^9*y*z0 + 2*x^9*z0^2 - x^7*y*z0^3 - 2*x^7*z0^4 + 2*x^10 + x^8*y*z0 - x^8*z0^2 - 2*x^6*y*z0^3 - 2*x^6*z0^4 - x^9 + 2*x^7*y*z0 - x^5*y*z0^3 + 2*x^5*z0^4 + 2*x^8 - x^6*y*z0 + x^6*z0^2 + 2*x^4*y*z0^3 - x^4*z0^4 + 2*x^7 - x^5*y*z0 + 2*x^6 + x^4*y*z0 - x^4*z0^2 + x^2*y*z0^3 - 2*x^2*z0^4 - 2*x^5 - 2*x^3*y*z0 + x^3*z0^2 - x^2*y*z0 - 2*x^2*z0^2 + 2*x^3 + x^2)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^20 + x^17*y^2 + x^17 - x^14 + x^11 - x^8 + x^5 - x^2)/y) * dx,
+ ((-x^20*z0 + x^17*y^2*z0 + x^17*z0 - x^14*z0 + x^11*z0 - x^8*z0 + x^5*z0 - x^2*z0)/y) * dx,
+ ((-x^20*z0^2 + x^17*y^2*z0^2 + x^17*z0^2 - x^14*z0^2 + x^11*z0^2 - x^8*z0^2 + x^5*z0^2 - x^2*z0^2)/y) * dx,
+ ((-x^20*z0^3 + x^17*y^2*z0^3 + x^17*z0^3 - x^14*z0^3 + x^11*z0^3 - x^8*z0^3 + x^5*z0^3 - x^2*z0^3)/y) * dx,
+ ((-x^20*z0^4 + x^17*y^2*z0^4 + x^17*z0^4 - x^14*z0^4 + x^11*z0^4 - x^8*z0^4 + x^5*z0^4 - x^2*z0^4)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^21 + x^18*y^2 + x^18 - x^15 + x^12 - x^9 + x^6 - x^3)/y) * dx,
+ ((-x^21*z0 + x^18*y^2*z0 + x^18*z0 - x^15*z0 + x^12*z0 - x^9*z0 + x^6*z0 - x^3*z0)/y) * dx,
+ ((-x^21*z0^2 + x^18*y^2*z0^2 + x^18*z0^2 - x^15*z0^2 + x^12*z0^2 - x^9*z0^2 + x^6*z0^2 - x^3*z0^2)/y) * dx,
+ ((-x^21*z0^3 + x^18*y^2*z0^3 + x^18*z0^3 - x^15*z0^3 + x^12*z0^3 - x^9*z0^3 + x^6*z0^3 - x^3*z0^3)/y) * dx,
+ ((-x^21*z0^4 + x^18*y^2*z0^4 + x^18*z0^4 - x^15*z0^4 + x^12*z0^4 - x^9*z0^4 + x^6*z0^4 - x^3*z0^4)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^31*z0^4 - x^30*z0^4 + x^28*y^2*z0^4 + x^31*z0^2 - 2*x^29*z0^4 + x^27*y^2*z0^4 - x^28*y^2*z0^2 + x^28*z0^4 + 2*x^26*y^2*z0^4 + 2*x^31 + x^27*z0^4 - 2*x^28*y^2 - x^28*z0^2 + 2*x^26*z0^4 - x^25*z0^4 - 2*x^28 - x^24*z0^4 + x^25*z0^2 - 2*x^23*z0^4 + x^22*z0^4 + 2*x^25 + x^21*z0^4 - x^22*z0^2 + 2*x^20*z0^4 - x^19*z0^4 + 2*x^22 - x^18*z0^4 + x^19*y^2 + x^19*z0^2 - 2*x^17*z0^4 + x^16*z0^4 - 2*x^19 + x^15*z0^4 - x^16*z0^2 + 2*x^14*z0^4 - x^13*z0^4 + 2*x^16 - x^12*z0^4 + x^13*z0^2 + 2*x^11*z0^4 - 2*x^10*y*z0^3 - x^10*z0^4 - 2*x^13 - x^9*y*z0^3 + x^9*z0^4 + 2*x^10*y*z0 - x^10*z0^2 + x^8*z0^4 + 2*x^11 - 2*x^9*y*z0 + x^7*y*z0^3 - x^10 + x^8*y*z0 - x^8*z0^2 - x^6*y*z0^3 + x^6*z0^4 + 2*x^7*y*z0 - 2*x^7*z0^2 + 2*x^5*y*z0^3 + x^5*z0^4 - x^8 + x^6*y*z0 - 2*x^6*z0^2 + x^4*y*z0^3 + 2*x^4*z0^4 - x^7 - x^5*z0^2 - x^3*y*z0^3 + 2*x^3*z0^4 - 2*x^6 + 2*x^2*y*z0^3 - x^2*z0^4 - 2*x^5 - x^3*z0^2 - 2*x^2*y*z0 - x^2*z0^2 - x^3)/y) * dx,
+ ((2*x^30*z0^3 + 2*x^31*z0 - 2*x^29*z0^3 - 2*x^27*y^2*z0^3 - x^30*z0 - 2*x^28*y^2*z0 + 2*x^26*y^2*z0^3 + x^27*y^2*z0 - x^27*z0^3 + x^28*z0 + 2*x^26*z0^3 - x^24*y^2*z0^3 + x^27*z0 + 2*x^25*y^2*z0 + x^24*z0^3 - x^25*z0 - 2*x^23*z0^3 - x^24*z0 - x^21*z0^3 + 2*x^20*z0^3 + x^21*z0 + x^19*y^2*z0 + x^18*z0^3 - 2*x^17*z0^3 - x^18*z0 - x^15*z0^3 + 2*x^14*z0^3 + x^15*z0 + x^12*z0^3 - 2*x^11*z0^3 - x^12*z0 + 2*x^8*y*z0^4 - 2*x^9*y*z0^2 + 2*x^9*z0^3 - 2*x^7*y*z0^4 - x^10*y - x^10*z0 + 2*x^8*y*z0^2 - 2*x^8*z0^3 + x^6*y*z0^4 + x^9*z0 + x^7*y*z0^2 - 2*x^7*z0^3 + 2*x^5*y*z0^4 + x^8*y - x^8*z0 - 2*x^6*y*z0^2 + x^6*z0^3 - 2*x^4*y*z0^4 - x^7*z0 + x^5*y*z0^2 - 2*x^5*z0^3 + x^3*y*z0^4 - 2*x^6*y - x^6*z0 - x^4*y*z0^2 + x^4*z0^3 + x^2*y*z0^4 + 2*x^5*y + 2*x^5*z0 - 2*x^3*z0^3 + x^4*y + 2*x^4*z0 + 2*x^2*y*z0^2 - 2*x^2*z0^3 + 2*x^3*y + x^3*z0 - 2*x^2*z0)/y) * dx,
+ ((2*x^30*z0^4 + x^31*z0^2 - 2*x^29*z0^4 - 2*x^27*y^2*z0^4 - x^28*y^2*z0^2 + 2*x^26*y^2*z0^4 + 2*x^31 - 2*x^27*z0^4 - 2*x^30 - 2*x^28*y^2 - x^28*z0^2 + 2*x^26*z0^4 + 2*x^27*y^2 - 2*x^28 + 2*x^24*z0^4 + 2*x^27 + x^25*z0^2 - 2*x^23*z0^4 + 2*x^25 - 2*x^21*z0^4 - 2*x^24 - 2*x^22*z0^2 + 2*x^20*z0^4 + x^19*y^2*z0^2 - 2*x^22 + 2*x^18*z0^4 + 2*x^21 + 2*x^19*z0^2 - 2*x^17*z0^4 + 2*x^19 - 2*x^15*z0^4 - 2*x^18 - 2*x^16*z0^2 + 2*x^14*z0^4 - 2*x^16 + 2*x^12*z0^4 + 2*x^15 + 2*x^13*z0^2 + 2*x^11*z0^4 - x^10*z0^4 + 2*x^13 - x^9*y*z0^3 - x^9*z0^4 - 2*x^12 + 2*x^10*y*z0 - x^10*z0^2 - 2*x^8*y*z0^3 + 2*x^8*z0^4 + x^11 - 2*x^9*y*z0 + 2*x^9*z0^2 - x^7*z0^4 - 2*x^8*y*z0 + x^8*z0^2 - x^6*z0^4 + 2*x^9 + x^7*y*z0 + 2*x^7*z0^2 - x^5*y*z0^3 + x^5*z0^4 + x^8 - 2*x^6*y*z0 - x^6*z0^2 + 2*x^4*z0^4 + 2*x^7 + 2*x^5*z0^2 - x^3*y*z0^3 + 2*x^3*z0^4 + 2*x^4*z0^2 - x^2*y*z0^3 + 2*x^2*z0^4 - 2*x^5 - 2*x^3*y*z0 + 2*x^3*z0^2 + 2*x^2*y*z0 + x^2*z0^2 - 2*x^3 - x^2)/y) * dx,
+ ((-x^31*z0^3 + x^28*y^2*z0^3 - x^31*z0 - 2*x^29*z0^3 + x^30*z0 + x^28*y^2*z0 + x^28*z0^3 + 2*x^26*y^2*z0^3 - 2*x^29*z0 - x^27*y^2*z0 - x^27*z0^3 + x^28*z0 + 2*x^26*y^2*z0 + 2*x^26*z0^3 + x^24*y^2*z0^3 - x^27*z0 - x^25*z0^3 + 2*x^26*z0 + x^24*z0^3 - x^25*z0 - 2*x^23*z0^3 + x^24*z0 - 2*x^23*z0 - x^21*z0^3 + x^19*y^2*z0^3 + x^22*z0 + 2*x^20*z0^3 - x^21*z0 + 2*x^20*z0 + x^18*z0^3 - x^19*z0 - 2*x^17*z0^3 + x^18*z0 - 2*x^17*z0 - x^15*z0^3 + x^16*z0 + 2*x^14*z0^3 - x^15*z0 + 2*x^14*z0 + x^12*z0^3 - x^13*z0 - 2*x^11*z0^3 + x^9*y*z0^4 + x^12*z0 - 2*x^10*y*z0^2 - 2*x^11*z0 + x^9*y*z0^2 - x^9*z0^3 + x^7*y*z0^4 - 2*x^10*y + x^8*y*z0^2 - x^6*y*z0^4 - x^9*y - x^9*z0 + 2*x^7*y*z0^2 + x^7*z0^3 - 2*x^5*y*z0^4 + x^8*y + 2*x^8*z0 + x^6*y*z0^2 - x^7*z0 - 2*x^5*y*z0^2 + 2*x^5*z0^3 - x^6*z0 + x^4*z0^3 - x^2*y*z0^4 - x^5*y + x^5*z0 - x^3*y*z0^2 - x^3*z0^3 - 2*x^4*z0 + x^2*y*z0^2 + x^2*z0^3 - 2*x^3*y - 2*x^3*z0 - x^2*y - x^2*z0)/y) * dx,
+ ((-2*x^31*z0^4 - x^30*z0^4 + 2*x^28*y^2*z0^4 + x^31*z0^2 + x^29*z0^4 + x^27*y^2*z0^4 + 2*x^30*z0^2 - x^28*y^2*z0^2 + 2*x^28*z0^4 - x^26*y^2*z0^4 + 2*x^31 - 2*x^27*y^2*z0^2 + x^27*z0^4 + 2*x^30 - 2*x^28*y^2 - x^28*z0^2 - x^26*z0^4 - 2*x^27*y^2 - 2*x^27*z0^2 - 2*x^25*z0^4 - 2*x^28 - x^24*z0^4 - 2*x^27 + x^25*z0^2 + x^23*z0^4 + 2*x^24*z0^2 + x^22*z0^4 + 2*x^25 + x^21*z0^4 + x^19*y^2*z0^4 + 2*x^24 - x^22*z0^2 - x^20*z0^4 - 2*x^21*z0^2 - x^19*z0^4 - 2*x^22 - x^18*z0^4 - 2*x^21 + x^19*z0^2 + x^17*z0^4 + 2*x^18*z0^2 + x^16*z0^4 + 2*x^19 + x^15*z0^4 + 2*x^18 - x^16*z0^2 - x^14*z0^4 - 2*x^15*z0^2 - x^13*z0^4 - 2*x^16 - x^12*z0^4 - 2*x^15 + x^13*z0^2 + 2*x^12*z0^2 + x^10*y*z0^3 + 2*x^13 - x^9*y*z0^3 + 2*x^9*z0^4 + 2*x^12 + 2*x^10*y*z0 + x^10*z0^2 + 2*x^8*y*z0^3 + 2*x^8*z0^4 - 2*x^11 - 2*x^9*y*z0 - 2*x^9*z0^2 + x^7*y*z0^3 + 2*x^7*z0^4 - 2*x^10 - x^8*y*z0 + x^8*z0^2 + 2*x^6*y*z0^3 + 2*x^6*z0^4 + x^9 - 2*x^7*y*z0 + x^5*y*z0^3 - 2*x^5*z0^4 - 2*x^8 + x^6*y*z0 - x^6*z0^2 - 2*x^4*y*z0^3 + x^4*z0^4 - 2*x^7 + x^5*y*z0 - 2*x^6 - x^4*y*z0 + x^4*z0^2 - x^2*y*z0^3 + 2*x^2*z0^4 + 2*x^5 + 2*x^3*y*z0 - x^3*z0^2 + x^2*y*z0 + 2*x^2*z0^2 - 2*x^3 - x^2)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-x^23 + x^20*y^2 + x^20 - x^17 + x^14 - x^11 + x^8 - x^5 + x^2)/y) * dx,
+ ((-x^23*z0 + x^20*y^2*z0 + x^20*z0 - x^17*z0 + x^14*z0 - x^11*z0 + x^8*z0 - x^5*z0 + x^2*z0)/y) * dx,
+ ((-x^23*z0^2 + x^20*y^2*z0^2 + x^20*z0^2 - x^17*z0^2 + x^14*z0^2 - x^11*z0^2 + x^8*z0^2 - x^5*z0^2 + x^2*z0^2)/y) * dx,
+ ((-x^23*z0^3 + x^20*y^2*z0^3 + x^20*z0^3 - x^17*z0^3 + x^14*z0^3 - x^11*z0^3 + x^8*z0^3 - x^5*z0^3 + x^2*z0^3)/y) * dx,
+ ((-x^23*z0^4 + x^20*y^2*z0^4 + x^20*z0^4 - x^17*z0^4 + x^14*z0^4 - x^11*z0^4 + x^8*z0^4 - x^5*z0^4 + x^2*z0^4)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((2*x^31*z0^4 - x^30*z0^4 - 2*x^28*y^2*z0^4 - 2*x^31*z0^2 - x^29*z0^4 + x^27*y^2*z0^4 - 2*x^30*z0^2 + 2*x^28*y^2*z0^2 - 2*x^28*z0^4 + x^26*y^2*z0^4 + 2*x^31 + 2*x^27*y^2*z0^2 + x^27*z0^4 + x^30 - 2*x^28*y^2 + 2*x^28*z0^2 + x^26*z0^4 - x^27*y^2 + 2*x^27*z0^2 + 2*x^25*z0^4 - 2*x^28 - x^24*z0^4 - x^27 - 2*x^25*z0^2 - x^23*z0^4 - 2*x^24*z0^2 - 2*x^22*z0^4 + 2*x^25 + x^21*z0^4 + 2*x^22*z0^2 + x^20*z0^4 + x^21*y^2 + 2*x^21*z0^2 + 2*x^19*z0^4 - 2*x^22 - x^18*z0^4 - 2*x^19*z0^2 - x^17*z0^4 - 2*x^18*z0^2 - 2*x^16*z0^4 + 2*x^19 + x^15*z0^4 + 2*x^16*z0^2 + x^14*z0^4 + 2*x^15*z0^2 + 2*x^13*z0^4 - 2*x^16 - x^12*z0^4 - 2*x^13*z0^2 - 2*x^11*z0^4 - 2*x^12*z0^2 - x^10*y*z0^3 + 2*x^13 + 2*x^9*y*z0^3 + x^9*z0^4 + x^10*y*z0 - 2*x^8*y*z0^3 - x^8*z0^4 - x^11 - 2*x^9*y*z0 + 2*x^9*z0^2 - 2*x^7*y*z0^3 - 2*x^7*z0^4 - x^10 - 2*x^8*z0^2 + x^6*y*z0^3 - 2*x^6*z0^4 + 2*x^9 + 2*x^7*y*z0 - x^7*z0^2 + 2*x^5*y*z0^3 + x^5*z0^4 + 2*x^8 - 2*x^6*y*z0 - 2*x^6*z0^2 + 2*x^4*y*z0^3 + 2*x^4*z0^4 - x^7 + 2*x^5*z0^2 - x^3*z0^4 - 2*x^6 + 2*x^4*y*z0 + 2*x^4*z0^2 + x^2*z0^4 + x^5 - x^3*y*z0 - x^2*y*z0 + 2*x^3 - 2*x^2)/y) * dx,
+ ((x^31*z0^3 + x^30*z0^3 - x^28*y^2*z0^3 + 2*x^31*z0 + 2*x^29*z0^3 - x^27*y^2*z0^3 - x^30*z0 - 2*x^28*y^2*z0 - x^28*z0^3 - 2*x^26*y^2*z0^3 + x^27*y^2*z0 + x^28*z0 - 2*x^26*z0^3 - x^24*y^2*z0^3 + x^27*z0 + 2*x^25*y^2*z0 + x^25*z0^3 - x^25*z0 + 2*x^23*z0^3 - 2*x^24*z0 - x^22*z0^3 + x^21*y^2*z0 + x^22*z0 - 2*x^20*z0^3 + 2*x^21*z0 + x^19*z0^3 - x^19*z0 + 2*x^17*z0^3 - 2*x^18*z0 - x^16*z0^3 + x^16*z0 - 2*x^14*z0^3 + 2*x^15*z0 + x^13*z0^3 - x^13*z0 + 2*x^11*z0^3 - x^9*y*z0^4 - 2*x^12*z0 + 2*x^10*y*z0^2 - x^10*z0^3 + x^8*y*z0^4 - 2*x^9*y*z0^2 - x^9*z0^3 - 2*x^7*y*z0^4 - x^10*y + x^10*z0 - x^8*y*z0^2 + 2*x^8*z0^3 + 2*x^6*y*z0^4 + x^9*y + 2*x^7*y*z0^2 - x^7*z0^3 - 2*x^5*y*z0^4 + 2*x^8*y + 2*x^8*z0 + x^6*y*z0^2 - 2*x^6*z0^3 - 2*x^4*y*z0^4 - x^7*y + 2*x^5*z0^3 + 2*x^6*y - 2*x^6*z0 - 2*x^4*y*z0^2 - x^4*z0^3 + x^5*y + 2*x^5*z0 + 2*x^3*y*z0^2 - 2*x^4*y + 2*x^4*z0 + 2*x^2*z0^3 + 2*x^3*y + 2*x^2*z0)/y) * dx,
+ ((-2*x^31*z0^4 - 2*x^30*z0^4 + 2*x^28*y^2*z0^4 - x^31*z0^2 + x^29*z0^4 + 2*x^27*y^2*z0^4 + x^28*y^2*z0^2 + 2*x^28*z0^4 - x^26*y^2*z0^4 - 2*x^31 + 2*x^27*z0^4 - 2*x^30 + 2*x^28*y^2 + x^28*z0^2 - x^26*z0^4 + 2*x^27*y^2 - 2*x^25*z0^4 + 2*x^28 - 2*x^24*z0^4 + 2*x^27 - x^25*z0^2 + x^23*z0^4 - x^24*z0^2 + 2*x^22*z0^4 - 2*x^25 + x^21*y^2*z0^2 + 2*x^21*z0^4 - 2*x^24 + x^22*z0^2 - x^20*z0^4 + x^21*z0^2 - 2*x^19*z0^4 + 2*x^22 - 2*x^18*z0^4 + 2*x^21 - x^19*z0^2 + x^17*z0^4 - x^18*z0^2 + 2*x^16*z0^4 - 2*x^19 + 2*x^15*z0^4 - 2*x^18 + x^16*z0^2 - x^14*z0^4 + x^15*z0^2 - 2*x^13*z0^4 + 2*x^16 - 2*x^12*z0^4 + 2*x^15 - x^13*z0^2 + 2*x^11*z0^4 - x^12*z0^2 + x^10*y*z0^3 - 2*x^13 + x^9*y*z0^3 - x^9*z0^4 - 2*x^12 - 2*x^10*y*z0 - 2*x^10*z0^2 - x^8*z0^4 + x^11 + 2*x^9*y*z0 + x^9*z0^2 - x^7*y*z0^3 - x^10 + x^8*y*z0 + x^8*z0^2 - x^6*z0^4 + 2*x^9 + x^7*y*z0 + 2*x^7*z0^2 - x^5*y*z0^3 - 2*x^5*z0^4 + x^6*y*z0 + 2*x^6*z0^2 + 2*x^4*y*z0^3 + x^4*z0^4 - 2*x^7 - x^5*z0^2 - 2*x^3*y*z0^3 - x^6 + 2*x^4*y*z0 + 2*x^4*z0^2 - 2*x^2*y*z0^3 - 2*x^2*z0^4 - x^5 + 2*x^3*y*z0 - 2*x^3*z0^2 + 2*x^2*z0^2 + 2*x^2)/y) * dx,
+ ((2*x^31*z0^3 - x^30*z0^3 - 2*x^28*y^2*z0^3 - 2*x^31*z0 + x^29*z0^3 + x^27*y^2*z0^3 + x^30*z0 + 2*x^28*y^2*z0 - 2*x^28*z0^3 - x^26*y^2*z0^3 - x^27*y^2*z0 - 2*x^27*z0^3 - 2*x^28*z0 - x^26*z0^3 - 2*x^24*y^2*z0^3 - x^27*z0 - x^25*y^2*z0 + 2*x^25*z0^3 + x^24*z0^3 + 2*x^25*z0 + x^23*z0^3 + x^21*y^2*z0^3 + x^24*z0 - 2*x^22*z0^3 - x^21*z0^3 - 2*x^22*z0 - x^20*z0^3 - x^21*z0 + 2*x^19*z0^3 + x^18*z0^3 + 2*x^19*z0 + x^17*z0^3 + x^18*z0 - 2*x^16*z0^3 - x^15*z0^3 - 2*x^16*z0 - x^14*z0^3 - x^15*z0 + 2*x^13*z0^3 + x^12*z0^3 + 2*x^13*z0 + x^11*z0^3 - 2*x^9*y*z0^4 + x^12*z0 - x^10*y*z0^2 - x^8*y*z0^4 + 2*x^9*y*z0^2 - 2*x^7*y*z0^4 + x^10*y + x^10*z0 - 2*x^8*y*z0^2 - x^8*z0^3 - x^6*y*z0^4 + 2*x^9*y + x^9*z0 - x^7*y*z0^2 + 2*x^7*z0^3 - x^5*y*z0^4 - x^8*y + 2*x^8*z0 - 2*x^6*z0^3 + x^4*y*z0^4 + 2*x^7*y - 2*x^7*z0 + 2*x^5*y*z0^2 + 2*x^5*z0^3 + 2*x^3*y*z0^4 + x^6*y - 2*x^6*z0 - x^4*z0^3 + x^2*y*z0^4 + x^5*y - 2*x^5*z0 + 2*x^3*y*z0^2 + x^3*z0^3 - 2*x^4*y + x^4*z0 - 2*x^2*y*z0^2 + x^3*y + x^2*y - 2*x^2*z0)/y) * dx,
+ ((x^31*z0^4 - 2*x^30*z0^4 - x^28*y^2*z0^4 + 2*x^31*z0^2 - x^29*z0^4 + 2*x^27*y^2*z0^4 - 2*x^30*z0^2 - 2*x^28*y^2*z0^2 - x^28*z0^4 + x^26*y^2*z0^4 + x^31 + 2*x^27*y^2*z0^2 + 2*x^27*z0^4 + x^30 - x^28*y^2 - 2*x^28*z0^2 + x^26*z0^4 - x^27*y^2 + 2*x^27*z0^2 + x^25*z0^4 - x^28 + 2*x^24*z0^4 - x^27 + 2*x^25*z0^2 - x^23*z0^4 + x^21*y^2*z0^4 - 2*x^24*z0^2 - x^22*z0^4 + x^25 - 2*x^21*z0^4 + x^24 - 2*x^22*z0^2 + x^20*z0^4 + 2*x^21*z0^2 + x^19*z0^4 - x^22 + 2*x^18*z0^4 - x^21 + 2*x^19*z0^2 - x^17*z0^4 - 2*x^18*z0^2 - x^16*z0^4 + x^19 - 2*x^15*z0^4 + x^18 - 2*x^16*z0^2 + x^14*z0^4 + 2*x^15*z0^2 + x^13*z0^4 - x^16 + 2*x^12*z0^4 - x^15 + 2*x^13*z0^2 + x^11*z0^4 - 2*x^12*z0^2 + 2*x^10*y*z0^3 + 2*x^10*z0^4 + x^13 - 2*x^9*y*z0^3 + x^12 - x^10*y*z0 - 2*x^8*z0^4 + 2*x^11 - x^9*y*z0 - 2*x^9*z0^2 - 2*x^7*y*z0^3 - x^7*z0^4 - x^8*y*z0 - 2*x^6*y*z0^3 + x^9 - 2*x^7*y*z0 + 2*x^7*z0^2 - x^5*z0^4 - x^6*y*z0 + x^6*z0^2 - 2*x^4*y*z0^3 - 2*x^4*z0^4 + 2*x^7 + 2*x^5*y*z0 + 2*x^5*z0^2 - x^3*y*z0^3 + x^3*z0^4 + x^6 + x^4*y*z0 + x^4*z0^2 - x^2*y*z0^3 + 2*x^2*z0^4 - 2*x^3*y*z0 + x^3*z0^2 + 2*x^2*y*z0 - 2*x^2*z0^2 + 2*x^3 + 2*x^2)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((2*x^31*z0^4 - 2*x^30*z0^4 - 2*x^28*y^2*z0^4 + 2*x^31*z0^2 - x^29*z0^4 + 2*x^27*y^2*z0^4 + x^30*z0^2 - 2*x^28*y^2*z0^2 - 2*x^28*z0^4 + x^26*y^2*z0^4 - x^31 - x^27*y^2*z0^2 + 2*x^27*z0^4 - 2*x^30 + x^28*y^2 - 2*x^28*z0^2 + x^26*z0^4 + 2*x^27*y^2 - x^27*z0^2 + 2*x^25*z0^4 + x^28 - 2*x^24*z0^4 + 2*x^27 + 2*x^25*z0^2 - x^23*z0^4 + x^24*z0^2 - 2*x^22*z0^4 - 2*x^25 + 2*x^21*z0^4 - 2*x^24 + x^22*y^2 - 2*x^22*z0^2 + x^20*z0^4 - x^21*z0^2 + 2*x^19*z0^4 + 2*x^22 - 2*x^18*z0^4 + 2*x^21 + 2*x^19*z0^2 - x^17*z0^4 + x^18*z0^2 - 2*x^16*z0^4 - 2*x^19 + 2*x^15*z0^4 - 2*x^18 - 2*x^16*z0^2 + x^14*z0^4 - x^15*z0^2 + 2*x^13*z0^4 + 2*x^16 - 2*x^12*z0^4 + 2*x^15 + 2*x^13*z0^2 + 2*x^11*z0^4 + x^12*z0^2 - x^10*y*z0^3 - 2*x^13 - 2*x^9*y*z0^3 + x^9*z0^4 - 2*x^12 - x^10*y*z0 + x^10*z0^2 + x^8*y*z0^3 - 2*x^8*z0^4 + x^9*y*z0 - 2*x^9*z0^2 + 2*x^7*y*z0^3 - 2*x^10 + x^8*y*z0 - x^8*z0^2 + x^6*y*z0^3 + x^6*z0^4 - 2*x^9 - x^5*y*z0^3 - 2*x^8 + 2*x^6*y*z0 + x^6*z0^2 + x^4*y*z0^3 + x^4*z0^4 + 2*x^7 - x^5*y*z0 + 2*x^5*z0^2 - 2*x^3*y*z0^3 + 2*x^3*z0^4 - x^6 + 2*x^4*y*z0 + 2*x^4*z0^2 - x^2*y*z0^3 - x^2*z0^4 + x^5 - x^3 - 2*x^2)/y) * dx,
+ ((2*x^31*z0^3 - 2*x^30*z0^3 - 2*x^28*y^2*z0^3 - x^31*z0 - 2*x^29*z0^3 + 2*x^27*y^2*z0^3 - 2*x^30*z0 + x^28*y^2*z0 - 2*x^28*z0^3 + 2*x^26*y^2*z0^3 + 2*x^27*y^2*z0 - x^27*z0^3 + 2*x^28*z0 + 2*x^26*z0^3 - 2*x^24*y^2*z0^3 + 2*x^27*z0 - x^25*y^2*z0 + 2*x^25*z0^3 + x^24*z0^3 + 2*x^25*z0 - 2*x^23*z0^3 - 2*x^24*z0 + x^22*y^2*z0 - 2*x^22*z0^3 - x^21*z0^3 - 2*x^22*z0 + 2*x^20*z0^3 + 2*x^21*z0 + 2*x^19*z0^3 + x^18*z0^3 + 2*x^19*z0 - 2*x^17*z0^3 - 2*x^18*z0 - 2*x^16*z0^3 - x^15*z0^3 - 2*x^16*z0 + 2*x^14*z0^3 + 2*x^15*z0 + 2*x^13*z0^3 + x^12*z0^3 + 2*x^13*z0 - 2*x^11*z0^3 - 2*x^9*y*z0^4 - 2*x^12*z0 - x^10*y*z0^2 + 2*x^10*z0^3 - 2*x^8*y*z0^4 + x^9*y*z0^2 + 2*x^9*z0^3 - 2*x^10*y - 2*x^10*z0 + 2*x^8*y*z0^2 + 2*x^8*z0^3 + 2*x^6*y*z0^4 + 2*x^9*y + x^7*y*z0^2 + 2*x^5*y*z0^4 - x^8*y - x^6*y*z0^2 - 2*x^6*z0^3 + 2*x^4*y*z0^4 - x^7*y + x^7*z0 - 2*x^5*y*z0^2 - 2*x^5*z0^3 + x^3*y*z0^4 - x^6*y + x^6*z0 + x^4*y*z0^2 + 2*x^4*z0^3 - x^5*y - 2*x^5*z0 - x^3*y*z0^2 + x^3*z0^3 + x^4*y + x^4*z0 - x^2*y*z0^2 + 2*x^2*z0^3 + x^3*y - 2*x^3*z0 + 2*x^2*y + 2*x^2*z0)/y) * dx,
+ ((x^31*z0^4 + 2*x^30*z0^4 - x^28*y^2*z0^4 - 2*x^31*z0^2 + x^29*z0^4 - 2*x^27*y^2*z0^4 + 2*x^28*y^2*z0^2 - x^28*z0^4 - x^26*y^2*z0^4 + x^31 - 2*x^27*z0^4 + x^30 - x^28*y^2 + 2*x^28*z0^2 - x^26*z0^4 - x^27*y^2 + x^25*z0^4 - x^28 + 2*x^24*z0^4 - x^27 + 2*x^25*z0^2 + x^23*z0^4 + x^22*y^2*z0^2 - x^22*z0^4 + x^25 - 2*x^21*z0^4 + x^24 - 2*x^22*z0^2 - x^20*z0^4 + x^19*z0^4 - x^22 + 2*x^18*z0^4 - x^21 + 2*x^19*z0^2 + x^17*z0^4 - x^16*z0^4 + x^19 - 2*x^15*z0^4 + x^18 - 2*x^16*z0^2 - x^14*z0^4 + x^13*z0^4 - x^16 + 2*x^12*z0^4 - x^15 + 2*x^13*z0^2 - 2*x^11*z0^4 + 2*x^10*y*z0^3 - x^10*z0^4 + x^13 + 2*x^9*y*z0^3 + 2*x^9*z0^4 + x^12 + x^10*y*z0 + 2*x^10*z0^2 - x^8*y*z0^3 + x^8*z0^4 + 2*x^11 - x^9*y*z0 + 2*x^9*z0^2 + 2*x^7*z0^4 - x^10 - 2*x^8*y*z0 - 2*x^8*z0^2 + 2*x^6*y*z0^3 - 2*x^9 + 2*x^7*y*z0 + x^5*y*z0^3 - 2*x^8 - x^6*z0^2 - x^4*y*z0^3 + x^4*z0^4 + x^7 - 2*x^5*y*z0 + 2*x^5*z0^2 + x^3*y*z0^3 + x^3*z0^4 + x^4*z0^2 - x^2*z0^4 + x^5 + 2*x^3*y*z0 - x^3*z0^2 + 2*x^2*y*z0 + 2*x^2*z0^2 - 2*x^3 + x^2)/y) * dx,
+ ((-x^31*z0^3 + x^30*z0^3 + x^28*y^2*z0^3 - x^31*z0 + 2*x^29*z0^3 - x^27*y^2*z0^3 + x^30*z0 + x^28*y^2*z0 + x^28*z0^3 - 2*x^26*y^2*z0^3 + x^29*z0 - x^27*y^2*z0 - x^27*z0^3 - x^26*y^2*z0 - 2*x^26*z0^3 - x^27*z0 + x^25*y^2*z0 - 2*x^25*z0^3 - x^26*z0 + x^24*z0^3 + x^22*y^2*z0^3 + 2*x^23*z0^3 + x^24*z0 + 2*x^22*z0^3 + x^23*z0 - x^21*z0^3 - 2*x^20*z0^3 - x^21*z0 - 2*x^19*z0^3 - x^20*z0 + x^18*z0^3 + 2*x^17*z0^3 + x^18*z0 + 2*x^16*z0^3 + x^17*z0 - x^15*z0^3 - 2*x^14*z0^3 - x^15*z0 - 2*x^13*z0^3 - x^14*z0 + x^12*z0^3 + 2*x^11*z0^3 + x^9*y*z0^4 + x^12*z0 - 2*x^10*y*z0^2 + x^10*z0^3 + x^8*y*z0^4 + x^11*z0 + x^9*y*z0^2 - x^7*y*z0^4 - 2*x^10*y - x^10*z0 - 2*x^8*z0^3 - 2*x^6*y*z0^4 - x^9*y + 2*x^7*y*z0^2 - x^7*z0^3 + x^5*y*z0^4 - x^8*y - 2*x^8*z0 - 2*x^6*y*z0^2 + x^4*y*z0^4 + x^7*y + 2*x^7*z0 - x^5*y*z0^2 - x^5*z0^3 - 2*x^3*y*z0^4 - 2*x^6*y + x^6*z0 + 2*x^4*y*z0^2 - x^4*z0^3 + x^5*y + 2*x^5*z0 - x^3*z0^3 - x^4*y - x^2*z0^3 + 2*x^3*z0 + 2*x^2*y - 2*x^2*z0)/y) * dx,
+ ((-x^31*z0^4 + 2*x^30*z0^4 + x^28*y^2*z0^4 + x^31*z0^2 + 2*x^29*z0^4 - 2*x^27*y^2*z0^4 - x^30*z0^2 - x^28*y^2*z0^2 + x^28*z0^4 - 2*x^26*y^2*z0^4 - x^31 + x^27*y^2*z0^2 - 2*x^27*z0^4 - 2*x^30 + x^28*y^2 - x^28*z0^2 - 2*x^26*z0^4 + 2*x^27*y^2 + x^27*z0^2 - 2*x^25*z0^4 + x^28 + 2*x^24*z0^4 + x^22*y^2*z0^4 + 2*x^27 + x^25*z0^2 + 2*x^23*z0^4 - x^24*z0^2 + 2*x^22*z0^4 - x^25 - 2*x^21*z0^4 - 2*x^24 - x^22*z0^2 - 2*x^20*z0^4 + x^21*z0^2 - 2*x^19*z0^4 + x^22 + 2*x^18*z0^4 + 2*x^21 + x^19*z0^2 + 2*x^17*z0^4 - x^18*z0^2 + 2*x^16*z0^4 - x^19 - 2*x^15*z0^4 - 2*x^18 - x^16*z0^2 - 2*x^14*z0^4 + x^15*z0^2 - 2*x^13*z0^4 + x^16 + 2*x^12*z0^4 + 2*x^15 + x^13*z0^2 - x^12*z0^2 - 2*x^10*y*z0^3 + 2*x^10*z0^4 - x^13 - x^9*y*z0^3 - 2*x^9*z0^4 - 2*x^12 + 2*x^10*y*z0 + 2*x^10*z0^2 - 2*x^8*y*z0^3 - x^8*z0^4 - 2*x^11 + x^9*y*z0 - 2*x^7*y*z0^3 + 2*x^7*z0^4 + x^10 + x^8*y*z0 - x^6*y*z0^3 - 2*x^9 - x^7*y*z0 + 2*x^7*z0^2 + x^5*y*z0^3 + x^5*z0^4 - 2*x^8 + 2*x^6*y*z0 - 2*x^6*z0^2 - 2*x^4*y*z0^3 - x^4*z0^4 - 2*x^7 + 2*x^3*z0^4 + 2*x^6 - x^4*y*z0 + x^4*z0^2 - x^2*y*z0^3 - x^2*z0^4 - 2*x^5 + x^3*y*z0 - x^3*z0^2 + x^2*y*z0 + x^2*z0^2 - x^3 + x^2)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((x^31*z0^4 - x^30*z0^4 - x^28*y^2*z0^4 - x^31*z0^2 - x^29*z0^4 + x^27*y^2*z0^4 + x^30*z0^2 + x^28*y^2*z0^2 - x^28*z0^4 + x^26*y^2*z0^4 - x^31 - x^27*y^2*z0^2 + x^27*z0^4 + x^28*y^2 + x^28*z0^2 + x^26*z0^4 - x^27*z0^2 + x^25*z0^4 + x^28 - x^24*z0^4 - x^25*z0^2 - x^23*z0^4 - x^26 + x^24*z0^2 - x^22*z0^4 - x^25 + x^23*y^2 + x^21*z0^4 + x^22*z0^2 + x^20*z0^4 + x^23 - x^21*z0^2 + x^19*z0^4 + x^22 - x^18*z0^4 - x^19*z0^2 - x^17*z0^4 - x^20 + x^18*z0^2 - x^16*z0^4 - x^19 + x^15*z0^4 + x^16*z0^2 + x^14*z0^4 + x^17 - x^15*z0^2 + x^13*z0^4 + x^16 - x^12*z0^4 - x^13*z0^2 + 2*x^11*z0^4 - x^14 + x^12*z0^2 + 2*x^10*y*z0^3 - 2*x^10*z0^4 - x^13 + x^9*y*z0^3 + x^9*z0^4 - 2*x^10*y*z0 + x^10*z0^2 - 2*x^8*y*z0^3 + 2*x^8*z0^4 + 2*x^11 + x^9*y*z0 - 2*x^9*z0^2 - x^7*z0^4 + x^10 + 2*x^8*y*z0 - 2*x^8*z0^2 + x^6*y*z0^3 - x^6*z0^4 + x^9 - x^7*y*z0 - 2*x^7*z0^2 - 2*x^5*y*z0^3 - x^5*z0^4 - 2*x^8 + x^6*y*z0 + 2*x^6*z0^2 + x^4*y*z0^3 - x^7 - x^5*y*z0 - 2*x^5*z0^2 - x^3*y*z0^3 - 2*x^4*y*z0 + x^4*z0^2 + x^2*y*z0^3 + 2*x^2*z0^4 + 2*x^5 + 2*x^3*y*z0 + x^3*z0^2 - 2*x^2*y*z0 + 2*x^2*z0^2 - x^2)/y) * dx,
+ ((x^31*z0^3 + x^30*z0^3 - x^28*y^2*z0^3 - 2*x^29*z0^3 - x^27*y^2*z0^3 - 2*x^30*z0 - x^28*z0^3 + 2*x^26*y^2*z0^3 + 2*x^27*y^2*z0 + 2*x^26*z0^3 - x^24*y^2*z0^3 + 2*x^27*z0 + x^25*z0^3 - x^26*z0 + x^23*y^2*z0 - 2*x^23*z0^3 - 2*x^24*z0 - x^22*z0^3 + x^23*z0 + 2*x^20*z0^3 + 2*x^21*z0 + x^19*z0^3 - x^20*z0 - 2*x^17*z0^3 - 2*x^18*z0 - x^16*z0^3 + x^17*z0 + 2*x^14*z0^3 + 2*x^15*z0 + x^13*z0^3 - x^14*z0 - 2*x^11*z0^3 - x^9*y*z0^4 - 2*x^12*z0 + 2*x^10*y*z0^2 + 2*x^10*z0^3 + x^8*y*z0^4 + x^11*z0 - x^7*y*z0^4 - 2*x^10*z0 - x^8*y*z0^2 - 2*x^8*z0^3 - x^6*y*z0^4 + x^9*y - 2*x^9*z0 - 2*x^7*y*z0^2 + 2*x^7*z0^3 + x^5*y*z0^4 - 2*x^8*y + x^8*z0 + 2*x^6*z0^3 + 2*x^5*y*z0^2 - 2*x^5*z0^3 - x^6*y - 2*x^6*z0 - 2*x^4*y*z0^2 - x^4*z0^3 - 2*x^2*y*z0^4 + x^5*y - 2*x^5*z0 + x^3*y*z0^2 + 2*x^3*z0^3 - 2*x^4*y - 2*x^4*z0 + 2*x^2*z0^3 - 2*x^3*y - 2*x^3*z0 + 2*x^2*y + x^2*z0)/y) * dx,
+ ((2*x^31*z0^4 + x^30*z0^4 - 2*x^28*y^2*z0^4 + x^31*z0^2 - x^27*y^2*z0^4 - x^28*y^2*z0^2 - 2*x^28*z0^4 - x^27*z0^4 - x^28*z0^2 + 2*x^25*z0^4 - x^26*z0^2 + x^24*z0^4 + x^25*z0^2 + x^23*y^2*z0^2 - 2*x^22*z0^4 + x^23*z0^2 - x^21*z0^4 - x^22*z0^2 + 2*x^19*z0^4 - x^20*z0^2 + x^18*z0^4 + x^19*z0^2 - 2*x^16*z0^4 + x^17*z0^2 - x^15*z0^4 - x^16*z0^2 + 2*x^13*z0^4 - x^14*z0^2 + x^12*z0^4 + x^13*z0^2 - x^10*y*z0^3 + x^10*z0^4 + x^11*z0^2 - x^9*y*z0^3 + x^9*z0^4 + 2*x^10*y*z0 + x^8*y*z0^3 - 2*x^11 - x^9*z0^2 - x^7*y*z0^3 - x^7*z0^4 + x^10 + x^8*y*z0 + x^8*z0^2 + 2*x^6*z0^4 + 2*x^9 + 2*x^7*y*z0 + 2*x^7*z0^2 - x^5*y*z0^3 - x^5*z0^4 + 2*x^8 + 2*x^6*z0^2 - 2*x^4*y*z0^3 + x^4*z0^4 - x^7 + x^5*z0^2 - 2*x^3*y*z0^3 + 2*x^3*z0^4 - 2*x^4*z0^2 + 2*x^2*y*z0^3 - x^2*z0^4 - 2*x^5 - 2*x^3*y*z0 - x^3*z0^2 + x^2*y*z0 + x^2*z0^2 - x^3 + 2*x^2)/y) * dx,
+ ((-2*x^31*z0^3 - 2*x^30*z0^3 + 2*x^28*y^2*z0^3 + 2*x^31*z0 - x^29*z0^3 + 2*x^27*y^2*z0^3 - 2*x^30*z0 - 2*x^28*y^2*z0 + 2*x^28*z0^3 + x^26*y^2*z0^3 - x^29*z0 + 2*x^27*y^2*z0 - x^27*z0^3 + x^26*y^2*z0 - 2*x^24*y^2*z0^3 + 2*x^27*z0 - 2*x^25*y^2*z0 - 2*x^25*z0^3 + x^23*y^2*z0^3 + x^26*z0 + x^24*z0^3 - 2*x^24*z0 + 2*x^22*z0^3 - x^23*z0 - x^21*z0^3 + 2*x^21*z0 - 2*x^19*z0^3 + x^20*z0 + x^18*z0^3 - 2*x^18*z0 + 2*x^16*z0^3 - x^17*z0 - x^15*z0^3 + 2*x^15*z0 - 2*x^13*z0^3 + x^14*z0 + x^12*z0^3 + 2*x^9*y*z0^4 - 2*x^12*z0 + x^10*y*z0^2 - 2*x^10*z0^3 - 2*x^8*y*z0^4 - x^11*z0 - 2*x^9*y*z0^2 - x^7*y*z0^4 - x^10*y - 2*x^10*z0 + x^8*y*z0^2 - x^8*z0^3 - 2*x^6*y*z0^4 - 2*x^9*y - 2*x^9*z0 - 2*x^7*z0^3 - x^5*y*z0^4 - x^8*y + x^8*z0 + x^6*y*z0^2 + 2*x^6*z0^3 - 2*x^7*y - x^7*z0 + x^5*y*z0^2 + 2*x^5*z0^3 - x^6*y + x^6*z0 + x^4*y*z0^2 + 2*x^4*z0^3 - 2*x^5*y + 2*x^5*z0 + 2*x^3*z0^3 + 2*x^4*z0 + x^2*y*z0^2 + 2*x^2*z0^3 + 2*x^3*y - 2*x^3*z0 + 2*x^2*y + x^2*z0)/y) * dx,
+ ((-x^30*z0^4 + x^31*z0^2 - 2*x^29*z0^4 + x^27*y^2*z0^4 + 2*x^30*z0^2 - x^28*y^2*z0^2 + 2*x^26*y^2*z0^4 + x^31 - 2*x^27*y^2*z0^2 + x^27*z0^4 - 2*x^30 - x^28*y^2 - x^28*z0^2 + x^26*z0^4 + 2*x^27*y^2 - 2*x^27*z0^2 + x^23*y^2*z0^4 - x^28 - x^24*z0^4 + 2*x^27 + x^25*z0^2 - x^23*z0^4 + 2*x^24*z0^2 + x^25 + x^21*z0^4 - 2*x^24 - x^22*z0^2 + x^20*z0^4 - 2*x^21*z0^2 - x^22 - x^18*z0^4 + 2*x^21 + x^19*z0^2 - x^17*z0^4 + 2*x^18*z0^2 + x^19 + x^15*z0^4 - 2*x^18 - x^16*z0^2 + x^14*z0^4 - 2*x^15*z0^2 - x^16 - x^12*z0^4 + 2*x^15 + x^13*z0^2 + x^11*z0^4 + 2*x^12*z0^2 + 2*x^10*z0^4 + x^13 - x^9*y*z0^3 - x^9*z0^4 - 2*x^12 + 2*x^10*y*z0 + 2*x^10*z0^2 - x^8*z0^4 - 2*x^11 - x^9*y*z0 + 2*x^7*z0^4 - x^10 - x^8*y*z0 + x^6*y*z0^3 + x^6*z0^4 - 2*x^9 - x^7*z0^2 + x^5*y*z0^3 - x^5*z0^4 + 2*x^8 + 2*x^6*y*z0 - 2*x^6*z0^2 + x^7 + x^5*y*z0 + x^5*z0^2 - 2*x^3*z0^4 - 2*x^4*y*z0 + x^4*z0^2 + 2*x^2*y*z0^3 + 2*x^2*z0^4 + 2*x^5 - x^3*y*z0 - x^2*y*z0 + x^2*z0^2 + x^3 + 2*x^2)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((x^31*z0^4 - 2*x^30*z0^4 - x^28*y^2*z0^4 + x^31*z0^2 + x^29*z0^4 + 2*x^27*y^2*z0^4 - x^30*z0^2 - x^28*y^2*z0^2 - x^28*z0^4 - x^26*y^2*z0^4 + x^31 + x^27*y^2*z0^2 + 2*x^27*z0^4 - 2*x^30 - x^28*y^2 - x^28*z0^2 - x^26*z0^4 + 2*x^27*y^2 + x^27*z0^2 + x^25*z0^4 - x^28 - 2*x^24*z0^4 + x^27 + x^25*z0^2 + x^23*z0^4 + x^24*y^2 - x^24*z0^2 - x^22*z0^4 + x^25 + 2*x^21*z0^4 - x^24 - x^22*z0^2 - x^20*z0^4 + x^21*z0^2 + x^19*z0^4 - x^22 - 2*x^18*z0^4 + x^21 + x^19*z0^2 + x^17*z0^4 - x^18*z0^2 - x^16*z0^4 + x^19 + 2*x^15*z0^4 - x^18 - x^16*z0^2 - x^14*z0^4 + x^15*z0^2 + x^13*z0^4 - x^16 - 2*x^12*z0^4 + x^15 + x^13*z0^2 - 2*x^11*z0^4 - x^12*z0^2 + 2*x^10*y*z0^3 + x^10*z0^4 + x^13 - x^9*y*z0^3 + 2*x^9*z0^4 - x^12 + 2*x^10*y*z0 + x^10*z0^2 - 2*x^8*y*z0^3 + x^8*z0^4 + 2*x^11 - x^9*y*z0 + 2*x^9*z0^2 - 2*x^7*y*z0^3 - 2*x^7*z0^4 - 2*x^10 + 2*x^8*y*z0 + x^8*z0^2 + x^6*y*z0^3 + x^9 - x^7*y*z0 - x^7*z0^2 + x^5*y*z0^3 + 2*x^5*z0^4 + 2*x^8 - x^6*y*z0 - 2*x^6*z0^2 + x^4*y*z0^3 + 2*x^4*z0^4 + 2*x^5*z0^2 + 2*x^3*y*z0^3 - 2*x^4*y*z0 - x^4*z0^2 - 2*x^2*y*z0^3 - x^2*z0^4 - 2*x^5 - x^3*y*z0 + x^3*z0^2 - 2*x^2*y*z0 - 2*x^2*z0^2 + 2*x^2)/y) * dx,
+ ((-x^31*z0^3 - 2*x^30*z0^3 + x^28*y^2*z0^3 + 2*x^31*z0 + 2*x^27*y^2*z0^3 + x^30*z0 - 2*x^28*y^2*z0 + x^28*z0^3 - x^29*z0 - x^27*y^2*z0 + 2*x^27*z0^3 + 2*x^28*z0 + x^26*y^2*z0 - 2*x^27*z0 + x^25*y^2*z0 - x^25*z0^3 + x^26*z0 + x^24*y^2*z0 - 2*x^24*z0^3 - 2*x^25*z0 + 2*x^24*z0 + x^22*z0^3 - x^23*z0 + 2*x^21*z0^3 + 2*x^22*z0 - 2*x^21*z0 - x^19*z0^3 + x^20*z0 - 2*x^18*z0^3 - 2*x^19*z0 + 2*x^18*z0 + x^16*z0^3 - x^17*z0 + 2*x^15*z0^3 + 2*x^16*z0 - 2*x^15*z0 - x^13*z0^3 + x^14*z0 - 2*x^12*z0^3 - 2*x^13*z0 + x^9*y*z0^4 + 2*x^12*z0 - 2*x^10*y*z0^2 + x^10*z0^3 - 2*x^8*y*z0^4 - x^11*z0 - 2*x^9*y*z0^2 - x^9*z0^3 + x^7*y*z0^4 - x^10*y - 2*x^10*z0 - 2*x^8*y*z0^2 + x^6*y*z0^4 - x^9*y - 2*x^9*z0 + 2*x^7*y*z0^2 + x^7*z0^3 + x^5*y*z0^4 + x^8*y - 2*x^8*z0 + 2*x^6*y*z0^2 + x^6*z0^3 - x^4*y*z0^4 + x^7*z0 - x^5*y*z0^2 + 2*x^5*z0^3 - 2*x^6*y + x^6*z0 + x^4*y*z0^2 + 2*x^4*z0^3 - 2*x^2*y*z0^4 - x^5*y + x^5*z0 + x^3*y*z0^2 + 2*x^3*z0^3 - 2*x^2*y*z0^2 - x^2*z0^3 + x^3*z0 - x^2*y - x^2*z0)/y) * dx,
+ ((-x^30*z0^4 + x^31*z0^2 + 2*x^29*z0^4 + x^27*y^2*z0^4 + 2*x^30*z0^2 - x^28*y^2*z0^2 - 2*x^26*y^2*z0^4 - x^31 - 2*x^27*y^2*z0^2 + x^27*z0^4 + x^28*y^2 - x^28*z0^2 - 2*x^26*z0^4 + 2*x^27*z0^2 + x^28 + x^24*y^2*z0^2 - x^24*z0^4 + x^25*z0^2 + 2*x^23*z0^4 - 2*x^24*z0^2 - x^25 + x^21*z0^4 - x^22*z0^2 - 2*x^20*z0^4 + 2*x^21*z0^2 + x^22 - x^18*z0^4 + x^19*z0^2 + 2*x^17*z0^4 - 2*x^18*z0^2 - x^19 + x^15*z0^4 - x^16*z0^2 - 2*x^14*z0^4 + 2*x^15*z0^2 + x^16 - x^12*z0^4 + x^13*z0^2 - 2*x^12*z0^2 + 2*x^10*z0^4 - x^13 - x^9*y*z0^3 + 2*x^10*y*z0 - x^8*y*z0^3 - x^8*z0^4 + 2*x^11 + x^9*y*z0 - 2*x^9*z0^2 + 2*x^7*y*z0^3 + 2*x^7*z0^4 + x^10 - x^8*y*z0 + 2*x^6*z0^4 - 2*x^9 - 2*x^7*y*z0 + x^7*z0^2 - x^5*y*z0^3 - x^8 - 2*x^6*y*z0 - x^6*z0^2 - x^4*y*z0^3 + 2*x^4*z0^4 + 2*x^7 + 2*x^5*z0^2 - x^3*z0^4 - 2*x^6 - x^4*y*z0 - x^4*z0^2 - 2*x^2*z0^4 + 2*x^5 + 2*x^3*y*z0 + x^3*z0^2 + 2*x^2*y*z0 + x^2*z0^2 + x^3)/y) * dx,
+ ((-2*x^31*z0^4 + 2*x^30*z0^4 + 2*x^28*y^2*z0^4 - x^31*z0^2 + x^29*z0^4 - 2*x^27*y^2*z0^4 + 2*x^30*z0^2 + x^28*y^2*z0^2 + 2*x^28*z0^4 - x^26*y^2*z0^4 + x^31 - 2*x^27*y^2*z0^2 + 2*x^27*z0^4 - x^28*y^2 + x^28*z0^2 - x^26*z0^4 + x^24*y^2*z0^4 - 2*x^27*z0^2 - 2*x^25*z0^4 - x^28 - 2*x^24*z0^4 - x^25*z0^2 + x^23*z0^4 + 2*x^24*z0^2 + 2*x^22*z0^4 + x^25 + 2*x^21*z0^4 + x^22*z0^2 - x^20*z0^4 - 2*x^21*z0^2 - 2*x^19*z0^4 - x^22 - 2*x^18*z0^4 - x^19*z0^2 + x^17*z0^4 + 2*x^18*z0^2 + 2*x^16*z0^4 + x^19 + 2*x^15*z0^4 + x^16*z0^2 - x^14*z0^4 - 2*x^15*z0^2 - 2*x^13*z0^4 - x^16 - 2*x^12*z0^4 - x^13*z0^2 - 2*x^11*z0^4 + 2*x^12*z0^2 + x^10*y*z0^3 + x^10*z0^4 + x^13 + x^9*y*z0^3 - x^9*z0^4 - 2*x^10*y*z0 - x^10*z0^2 + 2*x^8*y*z0^3 - x^9*y*z0 + x^9*z0^2 - x^7*y*z0^3 + 2*x^7*z0^4 + 2*x^8*z0^2 + 2*x^6*y*z0^3 - 2*x^6*z0^4 - 2*x^9 - x^7*y*z0 + x^7*z0^2 - 2*x^5*y*z0^3 - x^5*z0^4 - x^8 - 2*x^6*z0^2 - 2*x^4*y*z0^3 - 2*x^4*z0^4 - 2*x^7 - 2*x^5*y*z0 - x^3*y*z0^3 + x^3*z0^4 - 2*x^6 + 2*x^4*y*z0 - 2*x^2*y*z0^3 - x^2*z0^4 + 2*x^5 - 2*x^3*z0^2 + 2*x^2*z0^2 + 2*x^3 + 2*x^2)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((x^31*z0^4 - x^28*y^2*z0^4 + x^31*z0^2 - 2*x^29*z0^4 + x^30*z0^2 - x^28*y^2*z0^2 - x^28*z0^4 + 2*x^26*y^2*z0^4 + 2*x^31 - x^27*y^2*z0^2 - 2*x^30 - 2*x^28*y^2 - x^28*z0^2 + 2*x^26*z0^4 + 2*x^27*y^2 - x^27*z0^2 + x^25*z0^4 + 2*x^28 + 2*x^27 + x^25*y^2 + x^25*z0^2 - 2*x^23*z0^4 + x^24*z0^2 - x^22*z0^4 - 2*x^25 - 2*x^24 - x^22*z0^2 + 2*x^20*z0^4 - x^21*z0^2 + x^19*z0^4 + 2*x^22 + 2*x^21 + x^19*z0^2 - 2*x^17*z0^4 + x^18*z0^2 - x^16*z0^4 - 2*x^19 - 2*x^18 - x^16*z0^2 + 2*x^14*z0^4 - x^15*z0^2 + x^13*z0^4 + 2*x^16 + 2*x^15 + x^13*z0^2 + 2*x^11*z0^4 + x^12*z0^2 + 2*x^10*y*z0^3 - x^10*z0^4 - 2*x^13 - x^9*y*z0^3 - x^9*z0^4 - 2*x^12 + 2*x^10*y*z0 + 2*x^8*y*z0^3 - 2*x^8*z0^4 - 2*x^9*y*z0 - x^7*y*z0^3 - x^7*z0^4 + 2*x^10 + 2*x^8*y*z0 + 2*x^8*z0^2 + 2*x^6*y*z0^3 + 2*x^6*z0^4 - 2*x^9 - 2*x^7*z0^2 + x^5*y*z0^3 - 2*x^5*z0^4 + x^8 - x^6*y*z0 - x^6*z0^2 - x^4*y*z0^3 + x^4*z0^4 - x^5*y*z0 + 2*x^5*z0^2 - 2*x^3*y*z0^3 - 2*x^3*z0^4 + x^6 + 2*x^4*y*z0 - x^4*z0^2 + x^2*y*z0^3 - x^2*z0^4 - 2*x^3*y*z0 - x^3*z0^2 + x^2*y*z0 + 2*x^2*z0^2 - 2*x^3 - 2*x^2)/y) * dx,
+ ((2*x^31*z0^4 - x^30*z0^4 - 2*x^28*y^2*z0^4 + 2*x^31*z0^2 - x^29*z0^4 + x^27*y^2*z0^4 - 2*x^30*z0^2 - 2*x^28*y^2*z0^2 - 2*x^28*z0^4 + x^26*y^2*z0^4 + x^31 + 2*x^27*y^2*z0^2 + x^27*z0^4 + x^30 - x^28*y^2 + 2*x^28*z0^2 + x^26*z0^4 - x^27*y^2 + 2*x^27*z0^2 + x^25*y^2*z0^2 + 2*x^25*z0^4 - x^28 - x^24*z0^4 - x^27 - 2*x^25*z0^2 - x^23*z0^4 - 2*x^24*z0^2 - 2*x^22*z0^4 + x^25 + x^21*z0^4 + x^24 + 2*x^22*z0^2 + x^20*z0^4 + 2*x^21*z0^2 + 2*x^19*z0^4 - x^22 - x^18*z0^4 - x^21 - 2*x^19*z0^2 - x^17*z0^4 - 2*x^18*z0^2 - 2*x^16*z0^4 + x^19 + x^15*z0^4 + x^18 + 2*x^16*z0^2 + x^14*z0^4 + 2*x^15*z0^2 + 2*x^13*z0^4 - x^16 - x^12*z0^4 - x^15 - 2*x^13*z0^2 + x^11*z0^4 - 2*x^12*z0^2 - x^10*y*z0^3 - x^10*z0^4 + x^13 - 2*x^9*y*z0^3 - 2*x^9*z0^4 + x^12 - x^10*y*z0 - 2*x^8*y*z0^3 + x^11 - x^9*y*z0 + 2*x^7*y*z0^3 - 2*x^7*z0^4 + x^10 + 2*x^8*y*z0 - 2*x^8*z0^2 - 2*x^6*y*z0^3 + 2*x^6*z0^4 + 2*x^9 + 2*x^7*y*z0 - x^5*y*z0^3 - 2*x^4*y*z0^3 - x^7 + x^5*y*z0 - 2*x^5*z0^2 - 2*x^3*y*z0^3 - 2*x^4*y*z0 + 2*x^2*y*z0^3 - 2*x^2*z0^4 - 2*x^5 - x^3*z0^2 - 2*x^2*y*z0 - x^2)/y) * dx,
+ ((x^31*z0^3 - x^30*z0^3 - x^28*y^2*z0^3 - 2*x^31*z0 - 2*x^29*z0^3 + x^27*y^2*z0^3 - x^30*z0 + 2*x^28*y^2*z0 - 2*x^28*z0^3 + 2*x^26*y^2*z0^3 + 2*x^29*z0 + x^27*y^2*z0 + x^27*z0^3 + x^25*y^2*z0^3 + 2*x^28*z0 - 2*x^26*y^2*z0 + 2*x^26*z0^3 + x^27*z0 + 2*x^25*z0^3 - 2*x^26*z0 - x^24*z0^3 - 2*x^25*z0 - 2*x^23*z0^3 - x^24*z0 - 2*x^22*z0^3 + 2*x^23*z0 + x^21*z0^3 + 2*x^22*z0 + 2*x^20*z0^3 + x^21*z0 + 2*x^19*z0^3 - 2*x^20*z0 - x^18*z0^3 - 2*x^19*z0 - 2*x^17*z0^3 - x^18*z0 - 2*x^16*z0^3 + 2*x^17*z0 + x^15*z0^3 + 2*x^16*z0 + 2*x^14*z0^3 + x^15*z0 + 2*x^13*z0^3 - 2*x^14*z0 - x^12*z0^3 - 2*x^13*z0 - 2*x^11*z0^3 - x^9*y*z0^4 - x^12*z0 + 2*x^10*y*z0^2 + x^10*z0^3 - x^8*y*z0^4 + 2*x^11*z0 + 2*x^9*y*z0^2 + x^9*z0^3 + x^10*y + x^10*z0 - x^8*z0^3 + x^9*y - 2*x^9*z0 - 2*x^7*y*z0^2 + 2*x^7*z0^3 - 2*x^5*y*z0^4 + 2*x^8*z0 - x^6*y*z0^2 + x^6*z0^3 - 2*x^4*y*z0^4 - x^5*y*z0^2 - x^5*z0^3 - x^3*y*z0^4 - 2*x^6*y - x^4*z0^3 + x^2*y*z0^4 + 2*x^5*y + x^5*z0 - 2*x^3*y*z0^2 + 2*x^3*z0^3 - x^4*y + x^4*z0 - x^2*y*z0^2 - 2*x^2*z0^3 + x^3*y - 2*x^3*z0 - x^2*y - 2*x^2*z0)/y) * dx,
+ ((2*x^31*z0^4 + x^30*z0^4 - 2*x^28*y^2*z0^4 - x^31*z0^2 - x^27*y^2*z0^4 + x^30*z0^2 + x^28*y^2*z0^2 + 2*x^28*z0^4 + x^31 - x^27*y^2*z0^2 - x^27*z0^4 + x^25*y^2*z0^4 - 2*x^30 - x^28*y^2 + x^28*z0^2 + 2*x^27*y^2 - x^27*z0^2 - 2*x^25*z0^4 - x^28 + x^24*z0^4 + 2*x^27 - x^25*z0^2 + x^24*z0^2 + 2*x^22*z0^4 + x^25 - x^21*z0^4 - 2*x^24 + x^22*z0^2 - x^21*z0^2 - 2*x^19*z0^4 - x^22 + x^18*z0^4 + 2*x^21 - x^19*z0^2 + x^18*z0^2 + 2*x^16*z0^4 + x^19 - x^15*z0^4 - 2*x^18 + x^16*z0^2 - x^15*z0^2 - 2*x^13*z0^4 - x^16 + x^12*z0^4 + 2*x^15 - x^13*z0^2 + 2*x^11*z0^4 + x^12*z0^2 - x^10*y*z0^3 - 2*x^10*z0^4 + x^13 + x^9*y*z0^3 + x^9*z0^4 - 2*x^12 - 2*x^10*y*z0 - x^10*z0^2 + 2*x^8*y*z0^3 - x^8*z0^4 + x^11 - x^9*y*z0 - 2*x^9*z0^2 + 2*x^7*y*z0^3 - x^7*z0^4 + x^10 - 2*x^8*y*z0 - x^8*z0^2 - x^6*y*z0^3 - 2*x^6*z0^4 + 2*x^9 - 2*x^7*y*z0 - x^7*z0^2 + 2*x^5*y*z0^3 + x^5*z0^4 - 2*x^6*y*z0 - 2*x^6*z0^2 + x^4*y*z0^3 + 2*x^7 - 2*x^5*y*z0 + x^3*y*z0^3 - x^3*z0^4 + 2*x^6 + x^4*y*z0 - 2*x^4*z0^2 + 2*x^2*y*z0^3 + x^2*z0^4 + 2*x^5 + x^3*y*z0 + 2*x^3*z0^2 - 2*x^2*y*z0 + x^2*z0^2 + x^3 - x^2)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ ((-2*x^31*z0^4 + 2*x^30*z0^4 + 2*x^28*y^2*z0^4 + 2*x^31*z0^2 + x^29*z0^4 - 2*x^27*y^2*z0^4 - 2*x^30*z0^2 - 2*x^28*y^2*z0^2 + 2*x^28*z0^4 - x^26*y^2*z0^4 - x^31 + 2*x^27*y^2*z0^2 - 2*x^27*z0^4 + x^28*y^2 - 2*x^28*z0^2 - x^26*z0^4 - x^29 + 2*x^27*z0^2 - 2*x^25*z0^4 + x^28 + x^26*y^2 + 2*x^24*z0^4 + 2*x^25*z0^2 + x^23*z0^4 + x^26 - 2*x^24*z0^2 + 2*x^22*z0^4 - x^25 - 2*x^21*z0^4 - 2*x^22*z0^2 - x^20*z0^4 - x^23 + 2*x^21*z0^2 - 2*x^19*z0^4 + x^22 + 2*x^18*z0^4 + 2*x^19*z0^2 + x^17*z0^4 + x^20 - 2*x^18*z0^2 + 2*x^16*z0^4 - x^19 - 2*x^15*z0^4 - 2*x^16*z0^2 - x^14*z0^4 - x^17 + 2*x^15*z0^2 - 2*x^13*z0^4 + x^16 + 2*x^12*z0^4 + 2*x^13*z0^2 - x^11*z0^4 + x^14 - 2*x^12*z0^2 + x^10*y*z0^3 - x^10*z0^4 - x^13 - 2*x^9*y*z0^3 - x^10*y*z0 - 2*x^8*y*z0^3 + x^8*z0^4 - 2*x^11 + x^9*y*z0 + 2*x^9*z0^2 - x^7*y*z0^3 + x^7*z0^4 - x^10 - x^8*y*z0 + 2*x^8*z0^2 - 2*x^6*y*z0^3 + 2*x^6*z0^4 - 2*x^9 - 2*x^7*y*z0 - x^7*z0^2 - x^5*y*z0^3 - x^6*y*z0 - x^6*z0^2 - x^4*y*z0^3 + 2*x^4*z0^4 - 2*x^7 - 2*x^5*z0^2 + x^3*z0^4 + x^6 + x^4*y*z0 - x^4*z0^2 - x^2*y*z0^3 + 2*x^2*z0^4 - 2*x^5 - x^3*y*z0 + 2*x^3*z0^2 - x^2*y*z0 - x^2*z0^2 - x^3 - x^2)/y) * dx,
+ ((2*x^31*z0^4 - 2*x^28*y^2*z0^4 - x^31*z0^2 - x^29*z0^4 + x^30*z0^2 + x^28*y^2*z0^2 - 2*x^28*z0^4 + x^26*y^2*z0^4 - x^29*z0^2 - x^27*y^2*z0^2 - x^30 + x^28*z0^2 + x^26*y^2*z0^2 + x^26*z0^4 + x^27*y^2 - x^27*z0^2 + 2*x^25*z0^4 + x^26*z0^2 + x^27 - x^25*z0^2 - x^23*z0^4 + x^24*z0^2 - 2*x^22*z0^4 - x^23*z0^2 - x^24 + x^22*z0^2 + x^20*z0^4 - x^21*z0^2 + 2*x^19*z0^4 + x^20*z0^2 + x^21 - x^19*z0^2 - x^17*z0^4 + x^18*z0^2 - 2*x^16*z0^4 - x^17*z0^2 - x^18 + x^16*z0^2 + x^14*z0^4 - x^15*z0^2 + 2*x^13*z0^4 + x^14*z0^2 + x^15 - x^13*z0^2 - x^11*z0^4 + x^12*z0^2 - x^10*y*z0^3 - x^11*z0^2 + x^9*y*z0^3 + x^9*z0^4 - x^12 - 2*x^10*y*z0 - 2*x^10*z0^2 + x^8*y*z0^3 + x^8*z0^4 - 2*x^11 - 2*x^7*y*z0^3 + x^7*z0^4 + x^10 - 2*x^8*y*z0 - x^6*y*z0^3 + 2*x^6*z0^4 + x^9 + x^7*y*z0 + x^5*y*z0^3 + 2*x^5*z0^4 + x^8 + x^6*y*z0 + 2*x^6*z0^2 - x^4*y*z0^3 + 2*x^7 - x^5*y*z0 + x^5*z0^2 - 2*x^3*y*z0^3 - 2*x^3*z0^4 + 2*x^4*y*z0 + x^4*z0^2 + x^2*y*z0^3 - 2*x^2*z0^4 - 2*x^3*y*z0 + x^3*z0^2 + 2*x^2*y*z0 - 2*x^2*z0^2 + x^3 + x^2)/y) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx,
+ (0) * dx]
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lg = C2.polynomial[?7h[?12l[?25h[?25l[?7lgg.monomial_coefficient(y)[?7h[?12l[?25h[?25l[?7lg[?7h[?12l[?25h[?25l[?7l = FxRy(y/x)[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lfor[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lin[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lif[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lfor[?7h[?12l[?25h[?25l[?7lform[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l![?7h[?12l[?25h[?25l[?7l-[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l!=[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7lsage: ggg = [a for a in lll if a.form != 0]

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7llll[?7h[?12l[?25h[?25l[?7len(AS.holomorphic_differentials_basis())[?7h[?12l[?25h[?25l[?7llen([?7h[?12l[?25h[?25l[?7lg[?7h[?12l[?25h[?25l[?7lg[?7h[?12l[?25h[?25l[?7lg[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: len(ggg)

+[?7h[?12l[?25h[?2004l[?7h140
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis2(threshold = 20)[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lgenus()[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lnu[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: AS.genus()

+[?7h[?12l[?25h[?2004l[?7h9
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lfor a in lll:[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lfor[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lfo[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lreduction(C2, y^2*a.omega0.h1)/y^2[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7ls.reduce()[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7lsage: result = []

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lfor a in lll:[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lfor[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lin[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7lgg[?7h[?12l[?25h[?25l[?7lg[?7h[?12l[?25h[?25l[?7l:[?7h[?12l[?25h[?25l[?7lsage: for a in ggg:

+....: [?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lif[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7ly[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lfo[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7las_cover.holomorphic_differentials_basis2 = holomorphic_differentials_basis2[?7h[?12l[?25h[?25l[?7l.f[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7las_cover.holomorphic_differentials_basis2 = holomorphic_differentials_basis2[?7h[?12l[?25h[?25l[?7l.f[?7h[?12l[?25h[?25l[?7lexponents()[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lfor a in lll:[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lfor[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lin[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7lg[?7h[?12l[?25h[?25l[?7lg[?7h[?12l[?25h[?25l[?7lg[?7h[?12l[?25h[?25l[?7l:[?7h[?12l[?25h[?25l[?7l

+....: [?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lif[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l-[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l(()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lfo[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.genus()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lnch_points[?7h[?12l[?25h[?25l[?7lsage: AS.branch_points

+[?7h[?12l[?25h[?2004l[?7h[0, (-1, 0), (1, 0)]
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.branch_points[?7h[?12l[?25h[?25l[?7lresult = [][?7h[?12l[?25h[?25l[?7lAS.branch_points[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lfor a in lll:[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lfor[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lin[?7h[?12l[?25h[?25l[?7l lll:[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l:[?7h[?12l[?25h[?25l[?7l:[?7h[?12l[?25h[?25l[?7l:[?7h[?12l[?25h[?25l[?7lg:[?7h[?12l[?25h[?25l[?7lg:[?7h[?12l[?25h[?25l[?7lg:[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: for a in ggg:

+....: [?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l-[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l....:     b = a.expansion((-1, 0))

+....: [?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lfor[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lin[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7l:[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()

+....: 

+....:     for r in result:[?7h[?12l[?25h[?25l[?7lg[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lg[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l

+[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l....:     for r in result:

+....: [?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lif[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l-[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7l:[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l:[?7h[?12l[?25h[?25l[?7l....:         if r.expansion((-1, 0)) == b:

+....: [?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lg[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l....:             flag = 0

+....: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lif[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lg[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l:[?7h[?12l[?25h[?25l[?7l....:         if flag == 1:

+....: [?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l+[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l....:             result += [b]

+....: [?7h[?12l[?25h[?25l[?7lsage: for a in ggg:

+....:     b = a.expansion((-1, 0))

+....:     flag = 1

+....:     for r in result:

+....:         if r.expansion((-1, 0)) == b:

+....:             flag = 0

+....:         if flag == 1:

+....:             result += [b]

+....: 

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lresult = [][?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7lsage: result

+[?7h[?12l[?25h[?2004l[?7h[]
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lresult[?7h[?12l[?25h[?25l[?7lsage: for a in ggg:

+....:     b = a.expansion((-1, 0))

+....:     flag = 1

+....:     for r in result:

+....:         if r.expansion((-1, 0)) == b:

+....:             flag = 0

+....:         if flag == 1:

+....:             result += [b][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lif flag = 1:[?7h[?12l[?25h[?25l[?7lif flag = 1:[?7h[?12l[?25h[?25l[?7lif flag = 1:[?7h[?12l[?25h[?25l[?7lif flag = 1:[?7h[?12l[?25h[?25l[?7l

+[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lresult += [b][?7h[?12l[?25h[?25l[?7lresult += [b][?7h[?12l[?25h[?25l[?7lresult += [b][?7h[?12l[?25h[?25l[?7lresult += [b][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7la][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l....:         result += [a]

+....: [?7h[?12l[?25h[?25l[?7lsage: for a in ggg:

+....:     b = a.expansion((-1, 0))

+....:     flag = 1

+....:     for r in result:

+....:         if r.expansion((-1, 0)) == b:

+....:             flag = 0

+....:     if flag == 1:

+....:         result += [a]

+....: 

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lresult[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lw[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsult[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7lk[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7llt[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7lsage: result

+[?7h[?12l[?25h[?2004l[?7h[((2*x^31*z0^3 + 2*x^30*z0^3 - 2*x^28*y^2*z0^3 - 2*x^31*z0 + 2*x^29*z0^3 - 2*x^27*y^2*z0^3 + x^30*z0 + 2*x^28*y^2*z0 - 2*x^28*z0^3 - 2*x^26*y^2*z0^3 - 2*x^29*z0 - x^27*y^2*z0 - x^27*z0^3 + 2*x^26*y^2*z0 - 2*x^26*z0^3 - x^24*y^2*z0^3 - x^27*z0 + 2*x^25*y^2*z0 + 2*x^25*z0^3 + 2*x^26*z0 + x^24*z0^3 + 2*x^23*z0^3 + x^24*z0 - 2*x^22*z0^3 - 2*x^23*z0 - x^21*z0^3 - 2*x^20*z0^3 - x^21*z0 + 2*x^19*z0^3 + 2*x^20*z0 + x^18*z0^3 + 2*x^17*z0^3 + x^18*z0 - 2*x^16*z0^3 - 2*x^17*z0 - x^15*z0^3 - 2*x^14*z0^3 - x^15*z0 + 2*x^13*z0^3 + 2*x^14*z0 + x^12*z0^3 + 2*x^11*z0^3 - 2*x^9*y*z0^4 + x^12*z0 - x^10*y*z0^2 + 2*x^10*z0^3 + 2*x^8*y*z0^4 - 2*x^11*z0 + 2*x^9*y*z0^2 - 2*x^9*z0^3 - 2*x^7*y*z0^4 + x^10*y - 2*x^10*z0 - x^8*y*z0^2 + x^8*z0^3 - x^6*y*z0^4 + 2*x^9*y + x^9*z0 + x^7*z0^3 - 2*x^8*z0 + x^6*y*z0^2 + 2*x^6*z0^3 + 2*x^4*y*z0^4 + x^7*y - x^5*y*z0^2 - x^3*y*z0^4 + 2*x^6*z0 - x^4*y*z0^2 - x^4*z0^3 + x^2*y*z0^4 + x^5*y - x^3*y*z0^2 - x^3*z0^3 + x^2*y*z0^2 + 2*x^2*z0^3 - x^3*y + 2*x^3*z0 - 2*x^2*z0 + y)/y) * dx,
+ ((-x^30*z0^4 + 2*x^31*z0^2 - 2*x^29*z0^4 + x^27*y^2*z0^4 - 2*x^28*y^2*z0^2 + 2*x^26*y^2*z0^4 - 2*x^31 + x^27*z0^4 + 2*x^28*y^2 - 2*x^28*z0^2 + 2*x^26*z0^4 + 2*x^28 - x^24*z0^4 + 2*x^25*z0^2 - 2*x^23*z0^4 - 2*x^25 + x^21*z0^4 - 2*x^22*z0^2 + 2*x^20*z0^4 + 2*x^22 - x^18*z0^4 + 2*x^19*z0^2 - 2*x^17*z0^4 - 2*x^19 + x^15*z0^4 - 2*x^16*z0^2 + 2*x^14*z0^4 + 2*x^16 - x^12*z0^4 + 2*x^13*z0^2 - x^11*z0^4 - 2*x^10*z0^4 - 2*x^13 - 2*x^9*y*z0^3 + x^9*z0^4 - x^10*y*z0 - x^10*z0^2 - 2*x^8*y*z0^3 + x^8*z0^4 - x^11 + 2*x^9*y*z0 + 2*x^9*z0^2 + x^7*y*z0^3 - 2*x^10 - x^8*y*z0 + 2*x^8*z0^2 + 2*x^6*y*z0^3 - x^6*z0^4 + x^7*y*z0 + 2*x^7*z0^2 + x^5*y*z0^3 + 2*x^5*z0^4 + x^8 - x^6*y*z0 + 2*x^6*z0^2 + x^4*z0^4 - x^5*y*z0 - x^3*y*z0^3 - 2*x^3*z0^4 - 2*x^6 - x^4*y*z0 - 2*x^4*z0^2 + 2*x^2*y*z0^3 + 2*x^2*z0^4 + 2*x^3*y*z0 - 2*x^3*z0^2 + 2*x^2*y*z0 + 2*x^2*z0^2 - x^3 - x^2 + y*z0)/y) * dx,
+ ((-x^31*z0^3 + x^30*z0^3 + x^28*y^2*z0^3 + x^31*z0 - x^29*z0^3 - x^27*y^2*z0^3 - x^30*z0 - x^28*y^2*z0 + x^28*z0^3 + x^26*y^2*z0^3 - x^29*z0 + x^27*y^2*z0 - 2*x^27*z0^3 - x^28*z0 + x^26*y^2*z0 + x^26*z0^3 + x^24*y^2*z0^3 + x^27*z0 - x^25*z0^3 + x^26*z0 + 2*x^24*z0^3 + x^25*z0 - x^23*z0^3 - x^24*z0 + x^22*z0^3 - x^23*z0 - 2*x^21*z0^3 - x^22*z0 + x^20*z0^3 + x^21*z0 - x^19*z0^3 + x^20*z0 + 2*x^18*z0^3 + x^19*z0 - x^17*z0^3 - x^18*z0 + x^16*z0^3 - x^17*z0 - 2*x^15*z0^3 - x^16*z0 + x^14*z0^3 + x^15*z0 - x^13*z0^3 + x^14*z0 + 2*x^12*z0^3 + x^13*z0 - x^11*z0^3 + x^9*y*z0^4 - x^12*z0 - 2*x^10*y*z0^2 + 2*x^10*z0^3 + x^8*y*z0^4 - x^11*z0 - x^9*y*z0^2 + 2*x^9*z0^3 + 2*x^10*y - 2*x^10*z0 - x^8*z0^3 - x^6*y*z0^4 - x^9*y - x^9*z0 - 2*x^7*y*z0^2 + 2*x^7*z0^3 + 2*x^8*y - 2*x^8*z0 + 2*x^6*y*z0^2 + 2*x^6*z0^3 + 2*x^4*y*z0^4 + 2*x^7*y + x^7*z0 - 2*x^5*y*z0^2 + x^5*z0^3 + 2*x^3*y*z0^4 - x^6*y + 2*x^6*z0 + x^4*y*z0^2 + 2*x^4*z0^3 + 2*x^2*y*z0^4 - x^5*z0 + x^3*y*z0^2 + 2*x^3*z0^3 - x^4*y + x^3*z0 + x^2*y - x^2*z0 + y*z0^2)/y) * dx,
+ ((2*x^31*z0^4 + 2*x^30*z0^4 - 2*x^28*y^2*z0^4 - 2*x^27*y^2*z0^4 + x^30*z0^2 - 2*x^28*z0^4 - 2*x^31 - x^27*y^2*z0^2 - 2*x^27*z0^4 + x^30 + 2*x^28*y^2 - x^27*y^2 - x^27*z0^2 + 2*x^25*z0^4 + 2*x^28 + 2*x^24*z0^4 - x^27 + x^24*z0^2 - 2*x^22*z0^4 - 2*x^25 - 2*x^21*z0^4 + x^24 - x^21*z0^2 + 2*x^19*z0^4 + 2*x^22 + 2*x^18*z0^4 - x^21 + x^18*z0^2 - 2*x^16*z0^4 - 2*x^19 - 2*x^15*z0^4 + x^18 - x^15*z0^2 + 2*x^13*z0^4 + 2*x^16 + 2*x^12*z0^4 - x^15 + x^11*z0^4 + x^12*z0^2 - x^10*y*z0^3 - x^10*z0^4 - 2*x^13 - x^9*z0^4 + x^12 - x^10*z0^2 + 2*x^8*y*z0^3 + 2*x^11 + 2*x^9*y*z0 - 2*x^9*z0^2 - 2*x^7*y*z0^3 - x^7*z0^4 + 2*x^8*y*z0 - x^8*z0^2 - x^6*y*z0^3 - x^6*z0^4 + x^9 + x^7*y*z0 + x^7*z0^2 - 2*x^5*y*z0^3 + 2*x^5*z0^4 + x^8 - x^6*y*z0 - 2*x^6*z0^2 + x^4*y*z0^3 - 2*x^4*z0^4 - 2*x^5*y*z0 + x^5*z0^2 + 2*x^3*y*z0^3 + 2*x^3*z0^4 + 2*x^4*y*z0 - x^4*z0^2 + x^2*z0^4 - 2*x^5 - x^3*y*z0 + 2*x^2*y*z0 + 2*x^2*z0^2 + y*z0^3 - 2*x^3 - 2*x^2)/y) * dx,
+ ((-2*x^29*z0^3 + 2*x^30*z0 + 2*x^26*y^2*z0^3 - x^29*z0 - 2*x^27*y^2*z0 + x^27*z0^3 - x^28*z0 + x^26*y^2*z0 + 2*x^26*z0^3 - x^24*y^2*z0^3 - 2*x^27*z0 + x^25*y^2*z0 + x^26*z0 - x^24*z0^3 + x^25*z0 - 2*x^23*z0^3 + 2*x^24*z0 - x^23*z0 + x^21*z0^3 - x^22*z0 + 2*x^20*z0^3 - 2*x^21*z0 + x^20*z0 - x^18*z0^3 + x^19*z0 - 2*x^17*z0^3 + 2*x^18*z0 - x^17*z0 + x^15*z0^3 - x^16*z0 + 2*x^14*z0^3 - 2*x^15*z0 + x^14*z0 - x^12*z0^3 + x^13*z0 - 2*x^11*z0^3 + 2*x^12*z0 - x^11*z0 + 2*x^9*z0^3 + 2*x^10*z0 - 2*x^8*z0^3 + 2*x^6*y*z0^4 + x^9*z0 - 2*x^7*y*z0^2 + 2*x^7*z0^3 + x^5*y*z0^4 + 2*x^8*z0 + x^6*y*z0^2 + x^6*z0^3 - 2*x^4*y*z0^4 + 2*x^7*y - x^7*z0 + x^5*z0^3 + x^3*y*z0^4 - x^6*y - x^6*z0 + 2*x^2*y*z0^4 - 2*x^5*z0 + 2*x^3*z0^3 - x^4*y - x^4*z0 - x^2*y*z0^2 - 2*x^2*z0^3 + y*z0^4 - x^3*y - x^3*z0 - 2*x^2*y + 2*x^2*z0)/y) * dx,
+ ((-x^3 + y^2)/y) * dx,
+ ((-x^3*z0 + y^2*z0)/y) * dx,
+ ((-x^3*z0^2 + y^2*z0^2)/y) * dx,
+ ((-x^3*z0^3 + y^2*z0^3)/y) * dx,
+ ((-x^3*z0^4 + y^2*z0^4)/y) * dx,
+ ((2*x^31*z0^3 + x^30*z0^3 - 2*x^28*y^2*z0^3 - x^31*z0 + 2*x^29*z0^3 - x^27*y^2*z0^3 + x^28*y^2*z0 - 2*x^28*z0^3 - 2*x^26*y^2*z0^3 - x^29*z0 + 2*x^27*z0^3 + x^26*y^2*z0 - 2*x^26*z0^3 + 2*x^24*y^2*z0^3 + x^25*y^2*z0 + 2*x^25*z0^3 + x^26*z0 - 2*x^24*z0^3 + 2*x^23*z0^3 - 2*x^22*z0^3 - x^23*z0 + 2*x^21*z0^3 - 2*x^20*z0^3 + 2*x^19*z0^3 + x^20*z0 - 2*x^18*z0^3 + 2*x^17*z0^3 - 2*x^16*z0^3 - x^17*z0 + 2*x^15*z0^3 - 2*x^14*z0^3 + 2*x^13*z0^3 + x^14*z0 - 2*x^12*z0^3 + 2*x^11*z0^3 - 2*x^9*y*z0^4 - x^10*y*z0^2 - x^10*z0^3 + x^8*y*z0^4 - x^11*z0 + x^9*y*z0^2 - 2*x^9*z0^3 + x^7*y*z0^4 - 2*x^10*y - 2*x^10*z0 - 2*x^8*y*z0^2 - x^8*z0^3 + 2*x^6*y*z0^4 + 2*x^9*y + 2*x^9*z0 + 2*x^7*y*z0^2 - x^7*z0^3 + x^5*y*z0^4 + 2*x^8*y + 2*x^8*z0 + 2*x^6*y*z0^2 + 2*x^6*z0^3 - 2*x^4*y*z0^4 + x^5*y*z0^2 + 2*x^5*z0^3 + 2*x^3*y*z0^4 + 2*x^6*y + 2*x^6*z0 + 2*x^4*y*z0^2 - x^4*z0^3 - 2*x^2*y*z0^4 - x^5*y + x^5*z0 + x^3*z0^3 - x^4*y + 2*x^4*z0 + 2*x^2*z0^3 + 2*x^3*y - 2*x^3*z0 + x^2*y + x^2*z0 + x*y)/y) * dx,
+ ((x^30*z0^4 + 2*x^31*z0^2 - 2*x^29*z0^4 - x^27*y^2*z0^4 + 2*x^30*z0^2 - 2*x^28*y^2*z0^2 + 2*x^26*y^2*z0^4 + x^31 - 2*x^27*y^2*z0^2 - x^27*z0^4 - x^28*y^2 - 2*x^28*z0^2 + 2*x^26*z0^4 - 2*x^27*z0^2 - x^28 + x^24*z0^4 + 2*x^25*z0^2 - 2*x^23*z0^4 + 2*x^24*z0^2 + x^25 - x^21*z0^4 - 2*x^22*z0^2 + 2*x^20*z0^4 - 2*x^21*z0^2 - x^22 + x^18*z0^4 + 2*x^19*z0^2 - 2*x^17*z0^4 + 2*x^18*z0^2 + x^19 - x^15*z0^4 - 2*x^16*z0^2 + 2*x^14*z0^4 - 2*x^15*z0^2 - x^16 + x^12*z0^4 + 2*x^13*z0^2 + 2*x^12*z0^2 + x^10*z0^4 + x^13 - 2*x^9*y*z0^3 - 2*x^9*z0^4 - x^10*y*z0 - 2*x^11 - x^9*y*z0 + x^7*y*z0^3 + x^7*z0^4 - x^10 - 2*x^8*z0^2 - x^6*y*z0^3 - x^6*z0^4 + 2*x^9 - x^7*y*z0 - x^7*z0^2 - x^5*y*z0^3 - x^5*z0^4 - 2*x^8 + x^4*y*z0^3 + 2*x^4*z0^4 - x^7 - x^5*y*z0 - x^3*y*z0^3 + 2*x^6 - 2*x^4*y*z0 + x^4*z0^2 + x^2*z0^4 + 2*x^5 + x^3*y*z0 + 2*x^2*z0^2 + x^3 + x*y*z0 - 2*x^2)/y) * dx,
+ ((-x^31*z0 + 2*x^29*z0^3 + x^28*y^2*z0 - 2*x^26*y^2*z0^3 - x^29*z0 + 2*x^27*z0^3 + x^26*y^2*z0 - 2*x^26*z0^3 - 2*x^24*y^2*z0^3 + x^25*y^2*z0 + x^26*z0 - 2*x^24*z0^3 + 2*x^23*z0^3 - x^23*z0 + 2*x^21*z0^3 - 2*x^20*z0^3 + x^20*z0 - 2*x^18*z0^3 + 2*x^17*z0^3 - x^17*z0 + 2*x^15*z0^3 - 2*x^14*z0^3 + x^14*z0 - 2*x^12*z0^3 + 2*x^11*z0^3 - x^10*z0^3 - x^11*z0 + x^9*y*z0^2 + x^9*z0^3 - x^7*y*z0^4 - 2*x^10*y + x^10*z0 + 2*x^8*y*z0^2 + 2*x^8*z0^3 + x^6*y*z0^4 - x^7*y*z0^2 - x^7*z0^3 - x^5*y*z0^4 - 2*x^8*z0 + x^6*z0^3 - 2*x^4*y*z0^4 - x^7*y - x^7*z0 - x^5*z0^3 + x^3*y*z0^4 - 2*x^6*z0 - x^4*y*z0^2 - x^4*z0^3 - 2*x^2*y*z0^4 - x^5*z0 - 2*x^3*y*z0^2 + 2*x^3*z0^3 - 2*x^4*y + x^4*z0 + 2*x^2*y*z0^2 + x^3*y - x^3*z0 + x*y*z0^2 - 2*x^2*z0)/y) * dx,
+ ((x^31*z0^4 - x^30*z0^4 - x^28*y^2*z0^4 + 2*x^31*z0^2 - x^29*z0^4 + x^27*y^2*z0^4 - 2*x^28*y^2*z0^2 - x^28*z0^4 + x^26*y^2*z0^4 - 2*x^31 + x^27*z0^4 + 2*x^28*y^2 - 2*x^28*z0^2 + x^26*z0^4 + x^25*z0^4 + 2*x^28 - x^24*z0^4 + 2*x^25*z0^2 - x^23*z0^4 - x^22*z0^4 - 2*x^25 + x^21*z0^4 - 2*x^22*z0^2 + x^20*z0^4 + x^19*z0^4 + 2*x^22 - x^18*z0^4 + 2*x^19*z0^2 - x^17*z0^4 - x^16*z0^4 - 2*x^19 + x^15*z0^4 - 2*x^16*z0^2 + x^14*z0^4 + x^13*z0^4 + 2*x^16 - x^12*z0^4 + 2*x^13*z0^2 + 2*x^10*y*z0^3 + x^10*z0^4 - 2*x^13 - 2*x^9*y*z0^3 + x^9*z0^4 - x^10*y*z0 + 2*x^8*y*z0^3 + 2*x^8*z0^4 - 2*x^11 + 2*x^9*y*z0 + 2*x^9*z0^2 - 2*x^7*y*z0^3 - x^7*z0^4 - 2*x^10 + x^8*y*z0 - 2*x^8*z0^2 + x^6*y*z0^3 - x^6*z0^4 + 2*x^9 - x^7*z0^2 - 2*x^5*y*z0^3 + x^5*z0^4 + 2*x^8 + x^6*y*z0 - x^4*y*z0^3 + 2*x^4*z0^4 + 2*x^7 - x^5*z0^2 - x^3*y*z0^3 - 2*x^3*z0^4 - 2*x^6 + 2*x^2*y*z0^3 + x^2*z0^4 - x^5 - x^3*y*z0 - x^3*z0^2 + x*y*z0^3 + x^2*y*z0 - 2*x^2*z0^2 - 2*x^3 - x^2)/y) * dx,
+ ((x^31*z0^3 + x^30*z0^3 - x^28*y^2*z0^3 - 2*x^31*z0 - x^27*y^2*z0^3 - 2*x^30*z0 + 2*x^28*y^2*z0 - x^28*z0^3 - x^29*z0 + 2*x^27*y^2*z0 - 2*x^27*z0^3 + x^28*z0 + x^26*y^2*z0 + x^24*y^2*z0^3 + 2*x^27*z0 + x^25*y^2*z0 + x^25*z0^3 + x^26*z0 + 2*x^24*z0^3 - x^25*z0 - 2*x^24*z0 - x^22*z0^3 - x^23*z0 - 2*x^21*z0^3 + x^22*z0 + 2*x^21*z0 + x^19*z0^3 + x^20*z0 + 2*x^18*z0^3 - x^19*z0 - 2*x^18*z0 - x^16*z0^3 - x^17*z0 - 2*x^15*z0^3 + x^16*z0 + 2*x^15*z0 + x^13*z0^3 + x^14*z0 + 2*x^12*z0^3 - x^13*z0 - x^9*y*z0^4 - 2*x^12*z0 + 2*x^10*y*z0^2 + x^8*y*z0^4 - x^11*z0 + 2*x^9*y*z0^2 + 2*x^9*z0^3 - 2*x^7*y*z0^4 + x^10*y + x^10*z0 + x^8*y*z0^2 + 2*x^8*z0^3 + x^6*y*z0^4 + x^9*y + x^9*z0 + x^7*y*z0^2 + 2*x^7*z0^3 + 2*x^5*y*z0^4 + 2*x^8*z0 + 2*x^6*y*z0^2 + 2*x^6*z0^3 + x^4*y*z0^4 - 2*x^7*z0 - x^5*y*z0^2 + x^5*z0^3 + 2*x^3*y*z0^4 + x^6*y - 2*x^6*z0 + 2*x^4*y*z0^2 + 2*x^4*z0^3 + 2*x^2*y*z0^4 - 2*x^5*z0 - 2*x^3*y*z0^2 + x^3*z0^3 + x*y*z0^4 - x^4*y + 2*x^4*z0 - 2*x^2*y*z0^2 + 2*x^3*y + 2*x^3*z0 + x^2*y + x^2*z0)/y) * dx,
+ ((-x^31*z0^4 - x^30*z0^4 + x^28*y^2*z0^4 + x^31*z0^2 - 2*x^29*z0^4 + x^27*y^2*z0^4 - x^28*y^2*z0^2 + x^28*z0^4 + 2*x^26*y^2*z0^4 + 2*x^31 + x^27*z0^4 - 2*x^28*y^2 - x^28*z0^2 + 2*x^26*z0^4 - x^25*z0^4 - 2*x^28 - x^24*z0^4 + x^25*z0^2 - 2*x^23*z0^4 + x^22*z0^4 + 2*x^25 + x^21*z0^4 - x^22*z0^2 + 2*x^20*z0^4 - x^19*z0^4 - 2*x^22 - x^18*z0^4 + x^19*z0^2 - 2*x^17*z0^4 + x^16*z0^4 + 2*x^19 + x^15*z0^4 - x^16*z0^2 + 2*x^14*z0^4 - x^13*z0^4 - 2*x^16 - x^12*z0^4 + x^13*z0^2 + 2*x^11*z0^4 - 2*x^10*y*z0^3 - x^10*z0^4 + 2*x^13 - x^9*y*z0^3 + x^9*z0^4 + 2*x^10*y*z0 - x^10*z0^2 + x^8*z0^4 + 2*x^11 - 2*x^9*y*z0 + x^7*y*z0^3 + x^8*y*z0 - x^8*z0^2 - x^6*y*z0^3 + x^6*z0^4 + 2*x^7*y*z0 - 2*x^7*z0^2 + 2*x^5*y*z0^3 + x^5*z0^4 - x^8 + x^6*y*z0 - 2*x^6*z0^2 + x^4*y*z0^3 + 2*x^4*z0^4 - 2*x^7 - x^5*z0^2 - x^3*y*z0^3 + 2*x^3*z0^4 - 2*x^6 + 2*x^2*y*z0^3 - x^2*z0^4 - 2*x^5 - x^3*z0^2 - 2*x^2*y*z0 - x^2*z0^2 - x^3 + x*y^2)/y) * dx,
+ ((2*x^30*z0^3 + 2*x^31*z0 - 2*x^29*z0^3 - 2*x^27*y^2*z0^3 - x^30*z0 - 2*x^28*y^2*z0 + 2*x^26*y^2*z0^3 + x^27*y^2*z0 - x^27*z0^3 + x^28*z0 + 2*x^26*z0^3 - x^24*y^2*z0^3 + x^27*z0 + 2*x^25*y^2*z0 + x^24*z0^3 - x^25*z0 - 2*x^23*z0^3 - x^24*z0 - x^21*z0^3 + x^22*z0 + 2*x^20*z0^3 + x^21*z0 + x^18*z0^3 - x^19*z0 - 2*x^17*z0^3 - x^18*z0 - x^15*z0^3 + x^16*z0 + 2*x^14*z0^3 + x^15*z0 + x^12*z0^3 - x^13*z0 - 2*x^11*z0^3 - x^12*z0 + 2*x^8*y*z0^4 - 2*x^9*y*z0^2 + 2*x^9*z0^3 - 2*x^7*y*z0^4 - x^10*y + 2*x^8*y*z0^2 - 2*x^8*z0^3 + x^6*y*z0^4 + x^9*z0 + x^7*y*z0^2 - 2*x^7*z0^3 + 2*x^5*y*z0^4 + x^8*y - x^8*z0 - 2*x^6*y*z0^2 + x^6*z0^3 - 2*x^4*y*z0^4 - 2*x^7*z0 + x^5*y*z0^2 - 2*x^5*z0^3 + x^3*y*z0^4 - 2*x^6*y - x^6*z0 - x^4*y*z0^2 + x^4*z0^3 + x^2*y*z0^4 + 2*x^5*y + 2*x^5*z0 - 2*x^3*z0^3 + x^4*y + 2*x^4*z0 + 2*x^2*y*z0^2 - 2*x^2*z0^3 + 2*x^3*y + x^3*z0 + x*y^2*z0 - 2*x^2*z0)/y) * dx,
+ ((2*x^30*z0^4 + x^31*z0^2 - 2*x^29*z0^4 - 2*x^27*y^2*z0^4 - x^28*y^2*z0^2 + 2*x^26*y^2*z0^4 + 2*x^31 - 2*x^27*z0^4 - 2*x^30 - 2*x^28*y^2 - x^28*z0^2 + 2*x^26*z0^4 + 2*x^27*y^2 - 2*x^28 + 2*x^24*z0^4 + 2*x^27 + x^25*z0^2 - 2*x^23*z0^4 + 2*x^25 - 2*x^21*z0^4 - 2*x^24 - x^22*z0^2 + 2*x^20*z0^4 - 2*x^22 + 2*x^18*z0^4 + 2*x^21 + x^19*z0^2 - 2*x^17*z0^4 + 2*x^19 - 2*x^15*z0^4 - 2*x^18 - x^16*z0^2 + 2*x^14*z0^4 - 2*x^16 + 2*x^12*z0^4 + 2*x^15 + x^13*z0^2 + 2*x^11*z0^4 - x^10*z0^4 + 2*x^13 - x^9*y*z0^3 - x^9*z0^4 - 2*x^12 + 2*x^10*y*z0 - 2*x^8*y*z0^3 + 2*x^8*z0^4 + x^11 - 2*x^9*y*z0 + 2*x^9*z0^2 - x^7*z0^4 - 2*x^8*y*z0 + x^8*z0^2 - x^6*z0^4 + 2*x^9 + x^7*y*z0 + x^7*z0^2 - x^5*y*z0^3 + x^5*z0^4 + x^8 - 2*x^6*y*z0 - x^6*z0^2 + 2*x^4*z0^4 + 2*x^7 + 2*x^5*z0^2 - x^3*y*z0^3 + 2*x^3*z0^4 + 2*x^4*z0^2 - x^2*y*z0^3 + 2*x^2*z0^4 - 2*x^5 - 2*x^3*y*z0 + 2*x^3*z0^2 + x*y^2*z0^2 + 2*x^2*y*z0 + x^2*z0^2 - 2*x^3 - x^2)/y) * dx,
+ ((-x^31*z0^3 + x^28*y^2*z0^3 - x^31*z0 - 2*x^29*z0^3 + x^30*z0 + x^28*y^2*z0 + x^28*z0^3 + 2*x^26*y^2*z0^3 - 2*x^29*z0 - x^27*y^2*z0 - x^27*z0^3 + x^28*z0 + 2*x^26*y^2*z0 + 2*x^26*z0^3 + x^24*y^2*z0^3 - x^27*z0 - x^25*z0^3 + 2*x^26*z0 + x^24*z0^3 - x^25*z0 - 2*x^23*z0^3 + x^24*z0 + x^22*z0^3 - 2*x^23*z0 - x^21*z0^3 + x^22*z0 + 2*x^20*z0^3 - x^21*z0 - x^19*z0^3 + 2*x^20*z0 + x^18*z0^3 - x^19*z0 - 2*x^17*z0^3 + x^18*z0 + x^16*z0^3 - 2*x^17*z0 - x^15*z0^3 + x^16*z0 + 2*x^14*z0^3 - x^15*z0 - x^13*z0^3 + 2*x^14*z0 + x^12*z0^3 - x^13*z0 - 2*x^11*z0^3 + x^9*y*z0^4 + x^12*z0 - 2*x^10*y*z0^2 + x^10*z0^3 - 2*x^11*z0 + x^9*y*z0^2 - x^9*z0^3 + x^7*y*z0^4 - 2*x^10*y + x^8*y*z0^2 - x^6*y*z0^4 - x^9*y - x^9*z0 + 2*x^7*y*z0^2 - 2*x^5*y*z0^4 + x^8*y + 2*x^8*z0 + x^6*y*z0^2 - x^7*z0 - 2*x^5*y*z0^2 + 2*x^5*z0^3 - x^6*z0 + x^4*z0^3 - x^2*y*z0^4 - x^5*y + x^5*z0 - x^3*y*z0^2 - x^3*z0^3 + x*y^2*z0^3 - 2*x^4*z0 + x^2*y*z0^2 + x^2*z0^3 - 2*x^3*y - 2*x^3*z0 - x^2*y - x^2*z0)/y) * dx,
+ ((-2*x^31*z0^4 - x^30*z0^4 + 2*x^28*y^2*z0^4 + x^31*z0^2 + x^29*z0^4 + x^27*y^2*z0^4 + 2*x^30*z0^2 - x^28*y^2*z0^2 + 2*x^28*z0^4 - x^26*y^2*z0^4 + 2*x^31 - 2*x^27*y^2*z0^2 + x^27*z0^4 + 2*x^30 - 2*x^28*y^2 - x^28*z0^2 - x^26*z0^4 - 2*x^27*y^2 - 2*x^27*z0^2 - 2*x^25*z0^4 - 2*x^28 - x^24*z0^4 - 2*x^27 + x^25*z0^2 + x^23*z0^4 + 2*x^24*z0^2 + 2*x^22*z0^4 + 2*x^25 + x^21*z0^4 + 2*x^24 - x^22*z0^2 - x^20*z0^4 - 2*x^21*z0^2 - 2*x^19*z0^4 - 2*x^22 - x^18*z0^4 - 2*x^21 + x^19*z0^2 + x^17*z0^4 + 2*x^18*z0^2 + 2*x^16*z0^4 + 2*x^19 + x^15*z0^4 + 2*x^18 - x^16*z0^2 - x^14*z0^4 - 2*x^15*z0^2 - 2*x^13*z0^4 - 2*x^16 - x^12*z0^4 - 2*x^15 + x^13*z0^2 + 2*x^12*z0^2 + x^10*y*z0^3 + x^10*z0^4 + 2*x^13 - x^9*y*z0^3 + 2*x^9*z0^4 + 2*x^12 + 2*x^10*y*z0 + x^10*z0^2 + 2*x^8*y*z0^3 + 2*x^8*z0^4 - 2*x^11 - 2*x^9*y*z0 - 2*x^9*z0^2 + x^7*y*z0^3 + x^7*z0^4 - 2*x^10 - x^8*y*z0 + x^8*z0^2 + 2*x^6*y*z0^3 + 2*x^6*z0^4 + x^9 - 2*x^7*y*z0 + x^5*y*z0^3 - 2*x^5*z0^4 - 2*x^8 + x^6*y*z0 - x^6*z0^2 - 2*x^4*y*z0^3 + x^4*z0^4 - 2*x^7 + x^5*y*z0 + x*y^2*z0^4 - 2*x^6 - x^4*y*z0 + x^4*z0^2 - x^2*y*z0^3 + 2*x^2*z0^4 + 2*x^5 + 2*x^3*y*z0 - x^3*z0^2 + x^2*y*z0 + 2*x^2*z0^2 - 2*x^3 - x^2)/y) * dx,
+ ((-x^5 + x^2*y^2 + x^2)/y) * dx,
+ ((-x^5*z0 + x^2*y^2*z0 + x^2*z0)/y) * dx,
+ ((-x^5*z0^2 + x^2*y^2*z0^2 + x^2*z0^2)/y) * dx,
+ ((-x^5*z0^3 + x^2*y^2*z0^3 + x^2*z0^3)/y) * dx,
+ ((-x^5*z0^4 + x^2*y^2*z0^4 + x^2*z0^4)/y) * dx,
+ ((-x^6 + x^3*y^2 + x^3)/y) * dx,
+ ((-x^6*z0 + x^3*y^2*z0 + x^3*z0)/y) * dx,
+ ((-x^6*z0^2 + x^3*y^2*z0^2 + x^3*z0^2)/y) * dx,
+ ((-x^6*z0^3 + x^3*y^2*z0^3 + x^3*z0^3)/y) * dx,
+ ((-x^6*z0^4 + x^3*y^2*z0^4 + x^3*z0^4)/y) * dx,
+ ((x^31*z0^4 + x^30*z0^4 - x^28*y^2*z0^4 - x^31*z0^2 + 2*x^29*z0^4 - x^27*y^2*z0^4 + x^28*y^2*z0^2 - x^28*z0^4 - 2*x^26*y^2*z0^4 - 2*x^31 - x^27*z0^4 + 2*x^28*y^2 + x^28*z0^2 - 2*x^26*z0^4 + x^25*z0^4 + 2*x^28 + x^24*z0^4 - x^25*z0^2 + 2*x^23*z0^4 - x^22*z0^4 - 2*x^25 - x^21*z0^4 + x^22*z0^2 - 2*x^20*z0^4 + x^19*z0^4 + 2*x^22 + x^18*z0^4 - x^19*z0^2 + 2*x^17*z0^4 - x^16*z0^4 - 2*x^19 - x^15*z0^4 + x^16*z0^2 - 2*x^14*z0^4 + x^13*z0^4 + 2*x^16 + x^12*z0^4 - x^13*z0^2 - 2*x^11*z0^4 + 2*x^10*y*z0^3 + x^10*z0^4 - 2*x^13 + x^9*y*z0^3 - x^9*z0^4 - 2*x^10*y*z0 + x^10*z0^2 - x^8*z0^4 - 2*x^11 + 2*x^9*y*z0 - x^7*y*z0^3 - x^8*y*z0 + x^8*z0^2 + x^6*y*z0^3 - x^6*z0^4 - 2*x^7*y*z0 + 2*x^7*z0^2 - 2*x^5*y*z0^3 - x^5*z0^4 + x^8 - x^6*y*z0 + 2*x^6*z0^2 - x^4*y*z0^3 - 2*x^4*z0^4 + x^7 + x^5*z0^2 + x^3*y*z0^3 - 2*x^3*z0^4 + 2*x^6 + x^4*y^2 - 2*x^2*y*z0^3 + x^2*z0^4 + 2*x^5 + x^3*z0^2 + 2*x^2*y*z0 + x^2*z0^2 + x^3)/y) * dx,
+ ((-2*x^30*z0^3 - 2*x^31*z0 + 2*x^29*z0^3 + 2*x^27*y^2*z0^3 + x^30*z0 + 2*x^28*y^2*z0 - 2*x^26*y^2*z0^3 - x^27*y^2*z0 + x^27*z0^3 - x^28*z0 - 2*x^26*z0^3 + x^24*y^2*z0^3 - x^27*z0 - 2*x^25*y^2*z0 - x^24*z0^3 + x^25*z0 + 2*x^23*z0^3 + x^24*z0 + x^21*z0^3 - x^22*z0 - 2*x^20*z0^3 - x^21*z0 - x^18*z0^3 + x^19*z0 + 2*x^17*z0^3 + x^18*z0 + x^15*z0^3 - x^16*z0 - 2*x^14*z0^3 - x^15*z0 - x^12*z0^3 + x^13*z0 + 2*x^11*z0^3 + x^12*z0 - 2*x^8*y*z0^4 + 2*x^9*y*z0^2 - 2*x^9*z0^3 + 2*x^7*y*z0^4 + x^10*y - 2*x^8*y*z0^2 + 2*x^8*z0^3 - x^6*y*z0^4 - x^9*z0 - x^7*y*z0^2 + 2*x^7*z0^3 - 2*x^5*y*z0^4 - x^8*y + x^8*z0 + 2*x^6*y*z0^2 - x^6*z0^3 + 2*x^4*y*z0^4 + x^7*z0 - x^5*y*z0^2 + 2*x^5*z0^3 - x^3*y*z0^4 + 2*x^6*y + x^6*z0 + x^4*y^2*z0 + x^4*y*z0^2 - x^4*z0^3 - x^2*y*z0^4 - 2*x^5*y - 2*x^5*z0 + 2*x^3*z0^3 - x^4*y - 2*x^4*z0 - 2*x^2*y*z0^2 + 2*x^2*z0^3 - 2*x^3*y - x^3*z0 + 2*x^2*z0)/y) * dx,
+ ((-2*x^30*z0^4 - x^31*z0^2 + 2*x^29*z0^4 + 2*x^27*y^2*z0^4 + x^28*y^2*z0^2 - 2*x^26*y^2*z0^4 - 2*x^31 + 2*x^27*z0^4 + 2*x^30 + 2*x^28*y^2 + x^28*z0^2 - 2*x^26*z0^4 - 2*x^27*y^2 + 2*x^28 - 2*x^24*z0^4 - 2*x^27 - x^25*z0^2 + 2*x^23*z0^4 - 2*x^25 + 2*x^21*z0^4 + 2*x^24 + x^22*z0^2 - 2*x^20*z0^4 + 2*x^22 - 2*x^18*z0^4 - 2*x^21 - x^19*z0^2 + 2*x^17*z0^4 - 2*x^19 + 2*x^15*z0^4 + 2*x^18 + x^16*z0^2 - 2*x^14*z0^4 + 2*x^16 - 2*x^12*z0^4 - 2*x^15 - x^13*z0^2 - 2*x^11*z0^4 + x^10*z0^4 - 2*x^13 + x^9*y*z0^3 + x^9*z0^4 + 2*x^12 - 2*x^10*y*z0 + 2*x^8*y*z0^3 - 2*x^8*z0^4 - x^11 + 2*x^9*y*z0 - 2*x^9*z0^2 + x^7*z0^4 + 2*x^8*y*z0 - x^8*z0^2 + x^6*z0^4 - 2*x^9 - x^7*y*z0 - 2*x^7*z0^2 + x^5*y*z0^3 - x^5*z0^4 - x^8 + 2*x^6*y*z0 + x^6*z0^2 + x^4*y^2*z0^2 - 2*x^4*z0^4 - 2*x^7 - 2*x^5*z0^2 + x^3*y*z0^3 - 2*x^3*z0^4 - 2*x^4*z0^2 + x^2*y*z0^3 - 2*x^2*z0^4 + 2*x^5 + 2*x^3*y*z0 - 2*x^3*z0^2 - 2*x^2*y*z0 - x^2*z0^2 + 2*x^3 + x^2)/y) * dx,
+ ((x^31*z0^3 - x^28*y^2*z0^3 + x^31*z0 + 2*x^29*z0^3 - x^30*z0 - x^28*y^2*z0 - x^28*z0^3 - 2*x^26*y^2*z0^3 + 2*x^29*z0 + x^27*y^2*z0 + x^27*z0^3 - x^28*z0 - 2*x^26*y^2*z0 - 2*x^26*z0^3 - x^24*y^2*z0^3 + x^27*z0 + x^25*z0^3 - 2*x^26*z0 - x^24*z0^3 + x^25*z0 + 2*x^23*z0^3 - x^24*z0 - x^22*z0^3 + 2*x^23*z0 + x^21*z0^3 - x^22*z0 - 2*x^20*z0^3 + x^21*z0 + x^19*z0^3 - 2*x^20*z0 - x^18*z0^3 + x^19*z0 + 2*x^17*z0^3 - x^18*z0 - x^16*z0^3 + 2*x^17*z0 + x^15*z0^3 - x^16*z0 - 2*x^14*z0^3 + x^15*z0 + x^13*z0^3 - 2*x^14*z0 - x^12*z0^3 + x^13*z0 + 2*x^11*z0^3 - x^9*y*z0^4 - x^12*z0 + 2*x^10*y*z0^2 - x^10*z0^3 + 2*x^11*z0 - x^9*y*z0^2 + x^9*z0^3 - x^7*y*z0^4 + 2*x^10*y - x^8*y*z0^2 + x^6*y*z0^4 + x^9*y + x^9*z0 - 2*x^7*y*z0^2 - x^7*z0^3 + 2*x^5*y*z0^4 - x^8*y - 2*x^8*z0 - x^6*y*z0^2 + x^4*y^2*z0^3 + x^7*z0 + 2*x^5*y*z0^2 - 2*x^5*z0^3 + x^6*z0 - x^4*z0^3 + x^2*y*z0^4 + x^5*y - x^5*z0 + x^3*y*z0^2 + x^3*z0^3 + 2*x^4*z0 - x^2*y*z0^2 - x^2*z0^3 + 2*x^3*y + 2*x^3*z0 + x^2*y + x^2*z0)/y) * dx,
+ ((2*x^31*z0^4 + x^30*z0^4 - 2*x^28*y^2*z0^4 - x^31*z0^2 - x^29*z0^4 - x^27*y^2*z0^4 - 2*x^30*z0^2 + x^28*y^2*z0^2 - 2*x^28*z0^4 + x^26*y^2*z0^4 - 2*x^31 + 2*x^27*y^2*z0^2 - x^27*z0^4 - 2*x^30 + 2*x^28*y^2 + x^28*z0^2 + x^26*z0^4 + 2*x^27*y^2 + 2*x^27*z0^2 + 2*x^25*z0^4 + 2*x^28 + x^24*z0^4 + 2*x^27 - x^25*z0^2 - x^23*z0^4 - 2*x^24*z0^2 - 2*x^22*z0^4 - 2*x^25 - x^21*z0^4 - 2*x^24 + x^22*z0^2 + x^20*z0^4 + 2*x^21*z0^2 + 2*x^19*z0^4 + 2*x^22 + x^18*z0^4 + 2*x^21 - x^19*z0^2 - x^17*z0^4 - 2*x^18*z0^2 - 2*x^16*z0^4 - 2*x^19 - x^15*z0^4 - 2*x^18 + x^16*z0^2 + x^14*z0^4 + 2*x^15*z0^2 + 2*x^13*z0^4 + 2*x^16 + x^12*z0^4 + 2*x^15 - x^13*z0^2 - 2*x^12*z0^2 - x^10*y*z0^3 - x^10*z0^4 - 2*x^13 + x^9*y*z0^3 - 2*x^9*z0^4 - 2*x^12 - 2*x^10*y*z0 - x^10*z0^2 - 2*x^8*y*z0^3 - 2*x^8*z0^4 + 2*x^11 + 2*x^9*y*z0 + 2*x^9*z0^2 - x^7*y*z0^3 - 2*x^7*z0^4 + 2*x^10 + x^8*y*z0 - x^8*z0^2 - 2*x^6*y*z0^3 - 2*x^6*z0^4 + x^4*y^2*z0^4 - x^9 + 2*x^7*y*z0 - x^5*y*z0^3 + 2*x^5*z0^4 + 2*x^8 - x^6*y*z0 + x^6*z0^2 + 2*x^4*y*z0^3 - x^4*z0^4 + 2*x^7 - x^5*y*z0 + 2*x^6 + x^4*y*z0 - x^4*z0^2 + x^2*y*z0^3 - 2*x^2*z0^4 - 2*x^5 - 2*x^3*y*z0 + x^3*z0^2 - x^2*y*z0 - 2*x^2*z0^2 + 2*x^3 + x^2)/y) * dx,
+ ((-x^8 + x^5*y^2 + x^5 - x^2)/y) * dx,
+ ((-x^8*z0 + x^5*y^2*z0 + x^5*z0 - x^2*z0)/y) * dx,
+ ((-x^8*z0^2 + x^5*y^2*z0^2 + x^5*z0^2 - x^2*z0^2)/y) * dx,
+ ((-x^8*z0^3 + x^5*y^2*z0^3 + x^5*z0^3 - x^2*z0^3)/y) * dx,
+ ((-x^8*z0^4 + x^5*y^2*z0^4 + x^5*z0^4 - x^2*z0^4)/y) * dx,
+ ((-x^9 + x^6*y^2 + x^6 - x^3)/y) * dx,
+ ((-x^9*z0 + x^6*y^2*z0 + x^6*z0 - x^3*z0)/y) * dx,
+ ((-x^9*z0^2 + x^6*y^2*z0^2 + x^6*z0^2 - x^3*z0^2)/y) * dx,
+ ((-x^9*z0^3 + x^6*y^2*z0^3 + x^6*z0^3 - x^3*z0^3)/y) * dx,
+ ((-x^9*z0^4 + x^6*y^2*z0^4 + x^6*z0^4 - x^3*z0^4)/y) * dx,
+ ((-x^31*z0^4 - x^30*z0^4 + x^28*y^2*z0^4 + x^31*z0^2 - 2*x^29*z0^4 + x^27*y^2*z0^4 - x^28*y^2*z0^2 + x^28*z0^4 + 2*x^26*y^2*z0^4 + 2*x^31 + x^27*z0^4 - 2*x^28*y^2 - x^28*z0^2 + 2*x^26*z0^4 - x^25*z0^4 - 2*x^28 - x^24*z0^4 + x^25*z0^2 - 2*x^23*z0^4 + x^22*z0^4 + 2*x^25 + x^21*z0^4 - x^22*z0^2 + 2*x^20*z0^4 - x^19*z0^4 - 2*x^22 - x^18*z0^4 + x^19*z0^2 - 2*x^17*z0^4 + x^16*z0^4 + 2*x^19 + x^15*z0^4 - x^16*z0^2 + 2*x^14*z0^4 - x^13*z0^4 - 2*x^16 - x^12*z0^4 + x^13*z0^2 + 2*x^11*z0^4 - 2*x^10*y*z0^3 - x^10*z0^4 + 2*x^13 - x^9*y*z0^3 + x^9*z0^4 + 2*x^10*y*z0 - x^10*z0^2 + x^8*z0^4 + 2*x^11 - 2*x^9*y*z0 + x^7*y*z0^3 - x^10 + x^8*y*z0 - x^8*z0^2 - x^6*y*z0^3 + x^6*z0^4 + x^7*y^2 + 2*x^7*y*z0 - 2*x^7*z0^2 + 2*x^5*y*z0^3 + x^5*z0^4 - x^8 + x^6*y*z0 - 2*x^6*z0^2 + x^4*y*z0^3 + 2*x^4*z0^4 - x^7 - x^5*z0^2 - x^3*y*z0^3 + 2*x^3*z0^4 - 2*x^6 + 2*x^2*y*z0^3 - x^2*z0^4 - 2*x^5 - x^3*z0^2 - 2*x^2*y*z0 - x^2*z0^2 - x^3)/y) * dx,
+ ((2*x^30*z0^3 + 2*x^31*z0 - 2*x^29*z0^3 - 2*x^27*y^2*z0^3 - x^30*z0 - 2*x^28*y^2*z0 + 2*x^26*y^2*z0^3 + x^27*y^2*z0 - x^27*z0^3 + x^28*z0 + 2*x^26*z0^3 - x^24*y^2*z0^3 + x^27*z0 + 2*x^25*y^2*z0 + x^24*z0^3 - x^25*z0 - 2*x^23*z0^3 - x^24*z0 - x^21*z0^3 + x^22*z0 + 2*x^20*z0^3 + x^21*z0 + x^18*z0^3 - x^19*z0 - 2*x^17*z0^3 - x^18*z0 - x^15*z0^3 + x^16*z0 + 2*x^14*z0^3 + x^15*z0 + x^12*z0^3 - x^13*z0 - 2*x^11*z0^3 - x^12*z0 + 2*x^8*y*z0^4 - 2*x^9*y*z0^2 + 2*x^9*z0^3 - 2*x^7*y*z0^4 - x^10*y - x^10*z0 + 2*x^8*y*z0^2 - 2*x^8*z0^3 + x^6*y*z0^4 + x^9*z0 + x^7*y^2*z0 + x^7*y*z0^2 - 2*x^7*z0^3 + 2*x^5*y*z0^4 + x^8*y - x^8*z0 - 2*x^6*y*z0^2 + x^6*z0^3 - 2*x^4*y*z0^4 - x^7*z0 + x^5*y*z0^2 - 2*x^5*z0^3 + x^3*y*z0^4 - 2*x^6*y - x^6*z0 - x^4*y*z0^2 + x^4*z0^3 + x^2*y*z0^4 + 2*x^5*y + 2*x^5*z0 - 2*x^3*z0^3 + x^4*y + 2*x^4*z0 + 2*x^2*y*z0^2 - 2*x^2*z0^3 + 2*x^3*y + x^3*z0 - 2*x^2*z0)/y) * dx,
+ ((2*x^30*z0^4 + x^31*z0^2 - 2*x^29*z0^4 - 2*x^27*y^2*z0^4 - x^28*y^2*z0^2 + 2*x^26*y^2*z0^4 + 2*x^31 - 2*x^27*z0^4 - 2*x^30 - 2*x^28*y^2 - x^28*z0^2 + 2*x^26*z0^4 + 2*x^27*y^2 - 2*x^28 + 2*x^24*z0^4 + 2*x^27 + x^25*z0^2 - 2*x^23*z0^4 + 2*x^25 - 2*x^21*z0^4 - 2*x^24 - x^22*z0^2 + 2*x^20*z0^4 - 2*x^22 + 2*x^18*z0^4 + 2*x^21 + x^19*z0^2 - 2*x^17*z0^4 + 2*x^19 - 2*x^15*z0^4 - 2*x^18 - x^16*z0^2 + 2*x^14*z0^4 - 2*x^16 + 2*x^12*z0^4 + 2*x^15 + x^13*z0^2 + 2*x^11*z0^4 - x^10*z0^4 + 2*x^13 - x^9*y*z0^3 - x^9*z0^4 - 2*x^12 + 2*x^10*y*z0 - x^10*z0^2 - 2*x^8*y*z0^3 + 2*x^8*z0^4 + x^11 - 2*x^9*y*z0 + 2*x^9*z0^2 + x^7*y^2*z0^2 - x^7*z0^4 - 2*x^8*y*z0 + x^8*z0^2 - x^6*z0^4 + 2*x^9 + x^7*y*z0 + 2*x^7*z0^2 - x^5*y*z0^3 + x^5*z0^4 + x^8 - 2*x^6*y*z0 - x^6*z0^2 + 2*x^4*z0^4 + 2*x^7 + 2*x^5*z0^2 - x^3*y*z0^3 + 2*x^3*z0^4 + 2*x^4*z0^2 - x^2*y*z0^3 + 2*x^2*z0^4 - 2*x^5 - 2*x^3*y*z0 + 2*x^3*z0^2 + 2*x^2*y*z0 + x^2*z0^2 - 2*x^3 - x^2)/y) * dx,
+ ((-x^31*z0^3 + x^28*y^2*z0^3 - x^31*z0 - 2*x^29*z0^3 + x^30*z0 + x^28*y^2*z0 + x^28*z0^3 + 2*x^26*y^2*z0^3 - 2*x^29*z0 - x^27*y^2*z0 - x^27*z0^3 + x^28*z0 + 2*x^26*y^2*z0 + 2*x^26*z0^3 + x^24*y^2*z0^3 - x^27*z0 - x^25*z0^3 + 2*x^26*z0 + x^24*z0^3 - x^25*z0 - 2*x^23*z0^3 + x^24*z0 + x^22*z0^3 - 2*x^23*z0 - x^21*z0^3 + x^22*z0 + 2*x^20*z0^3 - x^21*z0 - x^19*z0^3 + 2*x^20*z0 + x^18*z0^3 - x^19*z0 - 2*x^17*z0^3 + x^18*z0 + x^16*z0^3 - 2*x^17*z0 - x^15*z0^3 + x^16*z0 + 2*x^14*z0^3 - x^15*z0 - x^13*z0^3 + 2*x^14*z0 + x^12*z0^3 - x^13*z0 - 2*x^11*z0^3 + x^9*y*z0^4 + x^12*z0 - 2*x^10*y*z0^2 - 2*x^11*z0 + x^9*y*z0^2 - x^9*z0^3 + x^7*y^2*z0^3 + x^7*y*z0^4 - 2*x^10*y + x^8*y*z0^2 - x^6*y*z0^4 - x^9*y - x^9*z0 + 2*x^7*y*z0^2 + x^7*z0^3 - 2*x^5*y*z0^4 + x^8*y + 2*x^8*z0 + x^6*y*z0^2 - x^7*z0 - 2*x^5*y*z0^2 + 2*x^5*z0^3 - x^6*z0 + x^4*z0^3 - x^2*y*z0^4 - x^5*y + x^5*z0 - x^3*y*z0^2 - x^3*z0^3 - 2*x^4*z0 + x^2*y*z0^2 + x^2*z0^3 - 2*x^3*y - 2*x^3*z0 - x^2*y - x^2*z0)/y) * dx,
+ ((-2*x^31*z0^4 - x^30*z0^4 + 2*x^28*y^2*z0^4 + x^31*z0^2 + x^29*z0^4 + x^27*y^2*z0^4 + 2*x^30*z0^2 - x^28*y^2*z0^2 + 2*x^28*z0^4 - x^26*y^2*z0^4 + 2*x^31 - 2*x^27*y^2*z0^2 + x^27*z0^4 + 2*x^30 - 2*x^28*y^2 - x^28*z0^2 - x^26*z0^4 - 2*x^27*y^2 - 2*x^27*z0^2 - 2*x^25*z0^4 - 2*x^28 - x^24*z0^4 - 2*x^27 + x^25*z0^2 + x^23*z0^4 + 2*x^24*z0^2 + 2*x^22*z0^4 + 2*x^25 + x^21*z0^4 + 2*x^24 - x^22*z0^2 - x^20*z0^4 - 2*x^21*z0^2 - 2*x^19*z0^4 - 2*x^22 - x^18*z0^4 - 2*x^21 + x^19*z0^2 + x^17*z0^4 + 2*x^18*z0^2 + 2*x^16*z0^4 + 2*x^19 + x^15*z0^4 + 2*x^18 - x^16*z0^2 - x^14*z0^4 - 2*x^15*z0^2 - 2*x^13*z0^4 - 2*x^16 - x^12*z0^4 - 2*x^15 + x^13*z0^2 + 2*x^12*z0^2 + x^10*y*z0^3 + 2*x^13 - x^9*y*z0^3 + 2*x^9*z0^4 + x^7*y^2*z0^4 + 2*x^12 + 2*x^10*y*z0 + x^10*z0^2 + 2*x^8*y*z0^3 + 2*x^8*z0^4 - 2*x^11 - 2*x^9*y*z0 - 2*x^9*z0^2 + x^7*y*z0^3 + 2*x^7*z0^4 - 2*x^10 - x^8*y*z0 + x^8*z0^2 + 2*x^6*y*z0^3 + 2*x^6*z0^4 + x^9 - 2*x^7*y*z0 + x^5*y*z0^3 - 2*x^5*z0^4 - 2*x^8 + x^6*y*z0 - x^6*z0^2 - 2*x^4*y*z0^3 + x^4*z0^4 - 2*x^7 + x^5*y*z0 - 2*x^6 - x^4*y*z0 + x^4*z0^2 - x^2*y*z0^3 + 2*x^2*z0^4 + 2*x^5 + 2*x^3*y*z0 - x^3*z0^2 + x^2*y*z0 + 2*x^2*z0^2 - 2*x^3 - x^2)/y) * dx,
+ ((-x^11 + x^8*y^2 + x^8 - x^5 + x^2)/y) * dx,
+ ((-x^11*z0 + x^8*y^2*z0 + x^8*z0 - x^5*z0 + x^2*z0)/y) * dx,
+ ((-x^11*z0^2 + x^8*y^2*z0^2 + x^8*z0^2 - x^5*z0^2 + x^2*z0^2)/y) * dx,
+ ((-x^11*z0^3 + x^8*y^2*z0^3 + x^8*z0^3 - x^5*z0^3 + x^2*z0^3)/y) * dx,
+ ((-x^11*z0^4 + x^8*y^2*z0^4 + x^8*z0^4 - x^5*z0^4 + x^2*z0^4)/y) * dx,
+ ((-x^12 + x^9*y^2 + x^9 - x^6 + x^3)/y) * dx,
+ ((-x^12*z0 + x^9*y^2*z0 + x^9*z0 - x^6*z0 + x^3*z0)/y) * dx,
+ ((-x^12*z0^2 + x^9*y^2*z0^2 + x^9*z0^2 - x^6*z0^2 + x^3*z0^2)/y) * dx,
+ ((-x^12*z0^3 + x^9*y^2*z0^3 + x^9*z0^3 - x^6*z0^3 + x^3*z0^3)/y) * dx,
+ ((-x^12*z0^4 + x^9*y^2*z0^4 + x^9*z0^4 - x^6*z0^4 + x^3*z0^4)/y) * dx,
+ ((x^31*z0^4 + x^30*z0^4 - x^28*y^2*z0^4 - x^31*z0^2 + 2*x^29*z0^4 - x^27*y^2*z0^4 + x^28*y^2*z0^2 - x^28*z0^4 - 2*x^26*y^2*z0^4 - 2*x^31 - x^27*z0^4 + 2*x^28*y^2 + x^28*z0^2 - 2*x^26*z0^4 + x^25*z0^4 + 2*x^28 + x^24*z0^4 - x^25*z0^2 + 2*x^23*z0^4 - x^22*z0^4 - 2*x^25 - x^21*z0^4 + x^22*z0^2 - 2*x^20*z0^4 + x^19*z0^4 + 2*x^22 + x^18*z0^4 - x^19*z0^2 + 2*x^17*z0^4 - x^16*z0^4 - 2*x^19 - x^15*z0^4 + x^16*z0^2 - 2*x^14*z0^4 + x^13*z0^4 + 2*x^16 + x^12*z0^4 - x^13*z0^2 - 2*x^11*z0^4 + 2*x^10*y*z0^3 + x^10*z0^4 + 2*x^13 + x^9*y*z0^3 - x^9*z0^4 + x^10*y^2 - 2*x^10*y*z0 + x^10*z0^2 - x^8*z0^4 - 2*x^11 + 2*x^9*y*z0 - x^7*y*z0^3 + x^10 - x^8*y*z0 + x^8*z0^2 + x^6*y*z0^3 - x^6*z0^4 - 2*x^7*y*z0 + 2*x^7*z0^2 - 2*x^5*y*z0^3 - x^5*z0^4 + x^8 - x^6*y*z0 + 2*x^6*z0^2 - x^4*y*z0^3 - 2*x^4*z0^4 + x^7 + x^5*z0^2 + x^3*y*z0^3 - 2*x^3*z0^4 + 2*x^6 - 2*x^2*y*z0^3 + x^2*z0^4 + 2*x^5 + x^3*z0^2 + 2*x^2*y*z0 + x^2*z0^2 + x^3)/y) * dx,
+ ((-2*x^30*z0^3 - 2*x^31*z0 + 2*x^29*z0^3 + 2*x^27*y^2*z0^3 + x^30*z0 + 2*x^28*y^2*z0 - 2*x^26*y^2*z0^3 - x^27*y^2*z0 + x^27*z0^3 - x^28*z0 - 2*x^26*z0^3 + x^24*y^2*z0^3 - x^27*z0 - 2*x^25*y^2*z0 - x^24*z0^3 + x^25*z0 + 2*x^23*z0^3 + x^24*z0 + x^21*z0^3 - x^22*z0 - 2*x^20*z0^3 - x^21*z0 - x^18*z0^3 + x^19*z0 + 2*x^17*z0^3 + x^18*z0 + x^15*z0^3 - x^16*z0 - 2*x^14*z0^3 - x^15*z0 - x^12*z0^3 + 2*x^11*z0^3 + x^12*z0 + x^10*y^2*z0 - 2*x^8*y*z0^4 + 2*x^9*y*z0^2 - 2*x^9*z0^3 + 2*x^7*y*z0^4 + x^10*y + x^10*z0 - 2*x^8*y*z0^2 + 2*x^8*z0^3 - x^6*y*z0^4 - x^9*z0 - x^7*y*z0^2 + 2*x^7*z0^3 - 2*x^5*y*z0^4 - x^8*y + x^8*z0 + 2*x^6*y*z0^2 - x^6*z0^3 + 2*x^4*y*z0^4 + x^7*z0 - x^5*y*z0^2 + 2*x^5*z0^3 - x^3*y*z0^4 + 2*x^6*y + x^6*z0 + x^4*y*z0^2 - x^4*z0^3 - x^2*y*z0^4 - 2*x^5*y - 2*x^5*z0 + 2*x^3*z0^3 - x^4*y - 2*x^4*z0 - 2*x^2*y*z0^2 + 2*x^2*z0^3 - 2*x^3*y - x^3*z0 + 2*x^2*z0)/y) * dx,
+ ((-2*x^30*z0^4 - x^31*z0^2 + 2*x^29*z0^4 + 2*x^27*y^2*z0^4 + x^28*y^2*z0^2 - 2*x^26*y^2*z0^4 - 2*x^31 + 2*x^27*z0^4 + 2*x^30 + 2*x^28*y^2 + x^28*z0^2 - 2*x^26*z0^4 - 2*x^27*y^2 + 2*x^28 - 2*x^24*z0^4 - 2*x^27 - x^25*z0^2 + 2*x^23*z0^4 - 2*x^25 + 2*x^21*z0^4 + 2*x^24 + x^22*z0^2 - 2*x^20*z0^4 + 2*x^22 - 2*x^18*z0^4 - 2*x^21 - x^19*z0^2 + 2*x^17*z0^4 - 2*x^19 + 2*x^15*z0^4 + 2*x^18 + x^16*z0^2 - 2*x^14*z0^4 + 2*x^16 - 2*x^12*z0^4 - 2*x^15 - 2*x^13*z0^2 - 2*x^11*z0^4 + x^10*y^2*z0^2 + x^10*z0^4 - 2*x^13 + x^9*y*z0^3 + x^9*z0^4 + 2*x^12 - 2*x^10*y*z0 + x^10*z0^2 + 2*x^8*y*z0^3 - 2*x^8*z0^4 - x^11 + 2*x^9*y*z0 - 2*x^9*z0^2 + x^7*z0^4 + 2*x^8*y*z0 - x^8*z0^2 + x^6*z0^4 - 2*x^9 - x^7*y*z0 - 2*x^7*z0^2 + x^5*y*z0^3 - x^5*z0^4 - x^8 + 2*x^6*y*z0 + x^6*z0^2 - 2*x^4*z0^4 - 2*x^7 - 2*x^5*z0^2 + x^3*y*z0^3 - 2*x^3*z0^4 - 2*x^4*z0^2 + x^2*y*z0^3 - 2*x^2*z0^4 + 2*x^5 + 2*x^3*y*z0 - 2*x^3*z0^2 - 2*x^2*y*z0 - x^2*z0^2 + 2*x^3 + x^2)/y) * dx,
+ ((x^31*z0^3 - x^28*y^2*z0^3 + x^31*z0 + 2*x^29*z0^3 - x^30*z0 - x^28*y^2*z0 - x^28*z0^3 - 2*x^26*y^2*z0^3 + 2*x^29*z0 + x^27*y^2*z0 + x^27*z0^3 - x^28*z0 - 2*x^26*y^2*z0 - 2*x^26*z0^3 - x^24*y^2*z0^3 + x^27*z0 + x^25*z0^3 - 2*x^26*z0 - x^24*z0^3 + x^25*z0 + 2*x^23*z0^3 - x^24*z0 - x^22*z0^3 + 2*x^23*z0 + x^21*z0^3 - x^22*z0 - 2*x^20*z0^3 + x^21*z0 + x^19*z0^3 - 2*x^20*z0 - x^18*z0^3 + x^19*z0 + 2*x^17*z0^3 - x^18*z0 - x^16*z0^3 + 2*x^17*z0 + x^15*z0^3 - x^16*z0 - 2*x^14*z0^3 + x^15*z0 - 2*x^14*z0 - x^12*z0^3 + x^10*y^2*z0^3 + x^13*z0 + 2*x^11*z0^3 - x^9*y*z0^4 - x^12*z0 + 2*x^10*y*z0^2 + 2*x^11*z0 - x^9*y*z0^2 + x^9*z0^3 - x^7*y*z0^4 + 2*x^10*y - x^8*y*z0^2 + x^6*y*z0^4 + x^9*y + x^9*z0 - 2*x^7*y*z0^2 - x^7*z0^3 + 2*x^5*y*z0^4 - x^8*y - 2*x^8*z0 - x^6*y*z0^2 + x^7*z0 + 2*x^5*y*z0^2 - 2*x^5*z0^3 + x^6*z0 - x^4*z0^3 + x^2*y*z0^4 + x^5*y - x^5*z0 + x^3*y*z0^2 + x^3*z0^3 + 2*x^4*z0 - x^2*y*z0^2 - x^2*z0^3 + 2*x^3*y + 2*x^3*z0 + x^2*y + x^2*z0)/y) * dx,
+ ((2*x^31*z0^4 + x^30*z0^4 - 2*x^28*y^2*z0^4 - x^31*z0^2 - x^29*z0^4 - x^27*y^2*z0^4 - 2*x^30*z0^2 + x^28*y^2*z0^2 - 2*x^28*z0^4 + x^26*y^2*z0^4 - 2*x^31 + 2*x^27*y^2*z0^2 - x^27*z0^4 - 2*x^30 + 2*x^28*y^2 + x^28*z0^2 + x^26*z0^4 + 2*x^27*y^2 + 2*x^27*z0^2 + 2*x^25*z0^4 + 2*x^28 + x^24*z0^4 + 2*x^27 - x^25*z0^2 - x^23*z0^4 - 2*x^24*z0^2 - 2*x^22*z0^4 - 2*x^25 - x^21*z0^4 - 2*x^24 + x^22*z0^2 + x^20*z0^4 + 2*x^21*z0^2 + 2*x^19*z0^4 + 2*x^22 + x^18*z0^4 + 2*x^21 - x^19*z0^2 - x^17*z0^4 - 2*x^18*z0^2 - 2*x^16*z0^4 - 2*x^19 - x^15*z0^4 - 2*x^18 + x^16*z0^2 + x^14*z0^4 + 2*x^15*z0^2 + x^13*z0^4 + 2*x^16 + x^12*z0^4 + x^10*y^2*z0^4 + 2*x^15 - x^13*z0^2 - 2*x^12*z0^2 - x^10*y*z0^3 - 2*x^13 + x^9*y*z0^3 - 2*x^9*z0^4 - 2*x^12 - 2*x^10*y*z0 - x^10*z0^2 - 2*x^8*y*z0^3 - 2*x^8*z0^4 + 2*x^11 + 2*x^9*y*z0 + 2*x^9*z0^2 - x^7*y*z0^3 - 2*x^7*z0^4 + 2*x^10 + x^8*y*z0 - x^8*z0^2 - 2*x^6*y*z0^3 - 2*x^6*z0^4 - x^9 + 2*x^7*y*z0 - x^5*y*z0^3 + 2*x^5*z0^4 + 2*x^8 - x^6*y*z0 + x^6*z0^2 + 2*x^4*y*z0^3 - x^4*z0^4 + 2*x^7 - x^5*y*z0 + 2*x^6 + x^4*y*z0 - x^4*z0^2 + x^2*y*z0^3 - 2*x^2*z0^4 - 2*x^5 - 2*x^3*y*z0 + x^3*z0^2 - x^2*y*z0 - 2*x^2*z0^2 + 2*x^3 + x^2)/y) * dx,
+ ((-x^14 + x^11*y^2 + x^11 - x^8 + x^5 - x^2)/y) * dx,
+ ((-x^14*z0 + x^11*y^2*z0 + x^11*z0 - x^8*z0 + x^5*z0 - x^2*z0)/y) * dx,
+ ((-x^14*z0^2 + x^11*y^2*z0^2 + x^11*z0^2 - x^8*z0^2 + x^5*z0^2 - x^2*z0^2)/y) * dx,
+ ((-x^14*z0^3 + x^11*y^2*z0^3 + x^11*z0^3 - x^8*z0^3 + x^5*z0^3 - x^2*z0^3)/y) * dx,
+ ((-x^14*z0^4 + x^11*y^2*z0^4 + x^11*z0^4 - x^8*z0^4 + x^5*z0^4 - x^2*z0^4)/y) * dx,
+ ((-x^15 + x^12*y^2 + x^12 - x^9 + x^6 - x^3)/y) * dx,
+ ((-x^15*z0 + x^12*y^2*z0 + x^12*z0 - x^9*z0 + x^6*z0 - x^3*z0)/y) * dx,
+ ((-x^15*z0^2 + x^12*y^2*z0^2 + x^12*z0^2 - x^9*z0^2 + x^6*z0^2 - x^3*z0^2)/y) * dx,
+ ((-x^15*z0^3 + x^12*y^2*z0^3 + x^12*z0^3 - x^9*z0^3 + x^6*z0^3 - x^3*z0^3)/y) * dx,
+ ((-x^15*z0^4 + x^12*y^2*z0^4 + x^12*z0^4 - x^9*z0^4 + x^6*z0^4 - x^3*z0^4)/y) * dx,
+ ((-x^31*z0^4 - x^30*z0^4 + x^28*y^2*z0^4 + x^31*z0^2 - 2*x^29*z0^4 + x^27*y^2*z0^4 - x^28*y^2*z0^2 + x^28*z0^4 + 2*x^26*y^2*z0^4 + 2*x^31 + x^27*z0^4 - 2*x^28*y^2 - x^28*z0^2 + 2*x^26*z0^4 - x^25*z0^4 - 2*x^28 - x^24*z0^4 + x^25*z0^2 - 2*x^23*z0^4 + x^22*z0^4 + 2*x^25 + x^21*z0^4 - x^22*z0^2 + 2*x^20*z0^4 - x^19*z0^4 - 2*x^22 - x^18*z0^4 + x^19*z0^2 - 2*x^17*z0^4 + x^16*z0^4 + 2*x^19 + x^15*z0^4 - x^16*z0^2 + 2*x^14*z0^4 - x^13*z0^4 + 2*x^16 - x^12*z0^4 + x^13*y^2 + x^13*z0^2 + 2*x^11*z0^4 - 2*x^10*y*z0^3 - x^10*z0^4 - 2*x^13 - x^9*y*z0^3 + x^9*z0^4 + 2*x^10*y*z0 - x^10*z0^2 + x^8*z0^4 + 2*x^11 - 2*x^9*y*z0 + x^7*y*z0^3 - x^10 + x^8*y*z0 - x^8*z0^2 - x^6*y*z0^3 + x^6*z0^4 + 2*x^7*y*z0 - 2*x^7*z0^2 + 2*x^5*y*z0^3 + x^5*z0^4 - x^8 + x^6*y*z0 - 2*x^6*z0^2 + x^4*y*z0^3 + 2*x^4*z0^4 - x^7 - x^5*z0^2 - x^3*y*z0^3 + 2*x^3*z0^4 - 2*x^6 + 2*x^2*y*z0^3 - x^2*z0^4 - 2*x^5 - x^3*z0^2 - 2*x^2*y*z0 - x^2*z0^2 - x^3)/y) * dx,
+ ((2*x^30*z0^3 + 2*x^31*z0 - 2*x^29*z0^3 - 2*x^27*y^2*z0^3 - x^30*z0 - 2*x^28*y^2*z0 + 2*x^26*y^2*z0^3 + x^27*y^2*z0 - x^27*z0^3 + x^28*z0 + 2*x^26*z0^3 - x^24*y^2*z0^3 + x^27*z0 + 2*x^25*y^2*z0 + x^24*z0^3 - x^25*z0 - 2*x^23*z0^3 - x^24*z0 - x^21*z0^3 + x^22*z0 + 2*x^20*z0^3 + x^21*z0 + x^18*z0^3 - x^19*z0 - 2*x^17*z0^3 - x^18*z0 - x^15*z0^3 + 2*x^14*z0^3 + x^15*z0 + x^13*y^2*z0 + x^12*z0^3 - 2*x^11*z0^3 - x^12*z0 + 2*x^8*y*z0^4 - 2*x^9*y*z0^2 + 2*x^9*z0^3 - 2*x^7*y*z0^4 - x^10*y - x^10*z0 + 2*x^8*y*z0^2 - 2*x^8*z0^3 + x^6*y*z0^4 + x^9*z0 + x^7*y*z0^2 - 2*x^7*z0^3 + 2*x^5*y*z0^4 + x^8*y - x^8*z0 - 2*x^6*y*z0^2 + x^6*z0^3 - 2*x^4*y*z0^4 - x^7*z0 + x^5*y*z0^2 - 2*x^5*z0^3 + x^3*y*z0^4 - 2*x^6*y - x^6*z0 - x^4*y*z0^2 + x^4*z0^3 + x^2*y*z0^4 + 2*x^5*y + 2*x^5*z0 - 2*x^3*z0^3 + x^4*y + 2*x^4*z0 + 2*x^2*y*z0^2 - 2*x^2*z0^3 + 2*x^3*y + x^3*z0 - 2*x^2*z0)/y) * dx,
+ ((2*x^30*z0^4 + x^31*z0^2 - 2*x^29*z0^4 - 2*x^27*y^2*z0^4 - x^28*y^2*z0^2 + 2*x^26*y^2*z0^4 + 2*x^31 - 2*x^27*z0^4 - 2*x^30 - 2*x^28*y^2 - x^28*z0^2 + 2*x^26*z0^4 + 2*x^27*y^2 - 2*x^28 + 2*x^24*z0^4 + 2*x^27 + x^25*z0^2 - 2*x^23*z0^4 + 2*x^25 - 2*x^21*z0^4 - 2*x^24 - x^22*z0^2 + 2*x^20*z0^4 - 2*x^22 + 2*x^18*z0^4 + 2*x^21 + x^19*z0^2 - 2*x^17*z0^4 + 2*x^19 - 2*x^15*z0^4 - 2*x^18 - 2*x^16*z0^2 + 2*x^14*z0^4 + x^13*y^2*z0^2 - 2*x^16 + 2*x^12*z0^4 + 2*x^15 + 2*x^13*z0^2 + 2*x^11*z0^4 - x^10*z0^4 + 2*x^13 - x^9*y*z0^3 - x^9*z0^4 - 2*x^12 + 2*x^10*y*z0 - x^10*z0^2 - 2*x^8*y*z0^3 + 2*x^8*z0^4 + x^11 - 2*x^9*y*z0 + 2*x^9*z0^2 - x^7*z0^4 - 2*x^8*y*z0 + x^8*z0^2 - x^6*z0^4 + 2*x^9 + x^7*y*z0 + 2*x^7*z0^2 - x^5*y*z0^3 + x^5*z0^4 + x^8 - 2*x^6*y*z0 - x^6*z0^2 + 2*x^4*z0^4 + 2*x^7 + 2*x^5*z0^2 - x^3*y*z0^3 + 2*x^3*z0^4 + 2*x^4*z0^2 - x^2*y*z0^3 + 2*x^2*z0^4 - 2*x^5 - 2*x^3*y*z0 + 2*x^3*z0^2 + 2*x^2*y*z0 + x^2*z0^2 - 2*x^3 - x^2)/y) * dx,
+ ((-x^31*z0^3 + x^28*y^2*z0^3 - x^31*z0 - 2*x^29*z0^3 + x^30*z0 + x^28*y^2*z0 + x^28*z0^3 + 2*x^26*y^2*z0^3 - 2*x^29*z0 - x^27*y^2*z0 - x^27*z0^3 + x^28*z0 + 2*x^26*y^2*z0 + 2*x^26*z0^3 + x^24*y^2*z0^3 - x^27*z0 - x^25*z0^3 + 2*x^26*z0 + x^24*z0^3 - x^25*z0 - 2*x^23*z0^3 + x^24*z0 + x^22*z0^3 - 2*x^23*z0 - x^21*z0^3 + x^22*z0 + 2*x^20*z0^3 - x^21*z0 - x^19*z0^3 + 2*x^20*z0 + x^18*z0^3 - x^19*z0 - 2*x^17*z0^3 + x^18*z0 - 2*x^17*z0 - x^15*z0^3 + x^13*y^2*z0^3 + x^16*z0 + 2*x^14*z0^3 - x^15*z0 + 2*x^14*z0 + x^12*z0^3 - x^13*z0 - 2*x^11*z0^3 + x^9*y*z0^4 + x^12*z0 - 2*x^10*y*z0^2 - 2*x^11*z0 + x^9*y*z0^2 - x^9*z0^3 + x^7*y*z0^4 - 2*x^10*y + x^8*y*z0^2 - x^6*y*z0^4 - x^9*y - x^9*z0 + 2*x^7*y*z0^2 + x^7*z0^3 - 2*x^5*y*z0^4 + x^8*y + 2*x^8*z0 + x^6*y*z0^2 - x^7*z0 - 2*x^5*y*z0^2 + 2*x^5*z0^3 - x^6*z0 + x^4*z0^3 - x^2*y*z0^4 - x^5*y + x^5*z0 - x^3*y*z0^2 - x^3*z0^3 - 2*x^4*z0 + x^2*y*z0^2 + x^2*z0^3 - 2*x^3*y - 2*x^3*z0 - x^2*y - x^2*z0)/y) * dx,
+ ((-2*x^31*z0^4 - x^30*z0^4 + 2*x^28*y^2*z0^4 + x^31*z0^2 + x^29*z0^4 + x^27*y^2*z0^4 + 2*x^30*z0^2 - x^28*y^2*z0^2 + 2*x^28*z0^4 - x^26*y^2*z0^4 + 2*x^31 - 2*x^27*y^2*z0^2 + x^27*z0^4 + 2*x^30 - 2*x^28*y^2 - x^28*z0^2 - x^26*z0^4 - 2*x^27*y^2 - 2*x^27*z0^2 - 2*x^25*z0^4 - 2*x^28 - x^24*z0^4 - 2*x^27 + x^25*z0^2 + x^23*z0^4 + 2*x^24*z0^2 + 2*x^22*z0^4 + 2*x^25 + x^21*z0^4 + 2*x^24 - x^22*z0^2 - x^20*z0^4 - 2*x^21*z0^2 - 2*x^19*z0^4 - 2*x^22 - x^18*z0^4 - 2*x^21 + x^19*z0^2 + x^17*z0^4 + 2*x^18*z0^2 + x^16*z0^4 + 2*x^19 + x^15*z0^4 + x^13*y^2*z0^4 + 2*x^18 - x^16*z0^2 - x^14*z0^4 - 2*x^15*z0^2 - x^13*z0^4 - 2*x^16 - x^12*z0^4 - 2*x^15 + x^13*z0^2 + 2*x^12*z0^2 + x^10*y*z0^3 + 2*x^13 - x^9*y*z0^3 + 2*x^9*z0^4 + 2*x^12 + 2*x^10*y*z0 + x^10*z0^2 + 2*x^8*y*z0^3 + 2*x^8*z0^4 - 2*x^11 - 2*x^9*y*z0 - 2*x^9*z0^2 + x^7*y*z0^3 + 2*x^7*z0^4 - 2*x^10 - x^8*y*z0 + x^8*z0^2 + 2*x^6*y*z0^3 + 2*x^6*z0^4 + x^9 - 2*x^7*y*z0 + x^5*y*z0^3 - 2*x^5*z0^4 - 2*x^8 + x^6*y*z0 - x^6*z0^2 - 2*x^4*y*z0^3 + x^4*z0^4 - 2*x^7 + x^5*y*z0 - 2*x^6 - x^4*y*z0 + x^4*z0^2 - x^2*y*z0^3 + 2*x^2*z0^4 + 2*x^5 + 2*x^3*y*z0 - x^3*z0^2 + x^2*y*z0 + 2*x^2*z0^2 - 2*x^3 - x^2)/y) * dx,
+ ((-x^17 + x^14*y^2 + x^14 - x^11 + x^8 - x^5 + x^2)/y) * dx,
+ ((-x^17*z0 + x^14*y^2*z0 + x^14*z0 - x^11*z0 + x^8*z0 - x^5*z0 + x^2*z0)/y) * dx,
+ ((-x^17*z0^2 + x^14*y^2*z0^2 + x^14*z0^2 - x^11*z0^2 + x^8*z0^2 - x^5*z0^2 + x^2*z0^2)/y) * dx,
+ ((-x^17*z0^3 + x^14*y^2*z0^3 + x^14*z0^3 - x^11*z0^3 + x^8*z0^3 - x^5*z0^3 + x^2*z0^3)/y) * dx,
+ ((-x^17*z0^4 + x^14*y^2*z0^4 + x^14*z0^4 - x^11*z0^4 + x^8*z0^4 - x^5*z0^4 + x^2*z0^4)/y) * dx,
+ ((-x^18 + x^15*y^2 + x^15 - x^12 + x^9 - x^6 + x^3)/y) * dx,
+ ((-x^18*z0 + x^15*y^2*z0 + x^15*z0 - x^12*z0 + x^9*z0 - x^6*z0 + x^3*z0)/y) * dx,
+ ((-x^18*z0^2 + x^15*y^2*z0^2 + x^15*z0^2 - x^12*z0^2 + x^9*z0^2 - x^6*z0^2 + x^3*z0^2)/y) * dx,
+ ((-x^18*z0^3 + x^15*y^2*z0^3 + x^15*z0^3 - x^12*z0^3 + x^9*z0^3 - x^6*z0^3 + x^3*z0^3)/y) * dx,
+ ((-x^18*z0^4 + x^15*y^2*z0^4 + x^15*z0^4 - x^12*z0^4 + x^9*z0^4 - x^6*z0^4 + x^3*z0^4)/y) * dx,
+ ((x^31*z0^4 + x^30*z0^4 - x^28*y^2*z0^4 - x^31*z0^2 + 2*x^29*z0^4 - x^27*y^2*z0^4 + x^28*y^2*z0^2 - x^28*z0^4 - 2*x^26*y^2*z0^4 - 2*x^31 - x^27*z0^4 + 2*x^28*y^2 + x^28*z0^2 - 2*x^26*z0^4 + x^25*z0^4 + 2*x^28 + x^24*z0^4 - x^25*z0^2 + 2*x^23*z0^4 - x^22*z0^4 - 2*x^25 - x^21*z0^4 + x^22*z0^2 - 2*x^20*z0^4 + x^19*z0^4 + 2*x^22 + x^18*z0^4 - x^19*z0^2 + 2*x^17*z0^4 - x^16*z0^4 + 2*x^19 - x^15*z0^4 + x^16*y^2 + x^16*z0^2 - 2*x^14*z0^4 + x^13*z0^4 - 2*x^16 + x^12*z0^4 - x^13*z0^2 - 2*x^11*z0^4 + 2*x^10*y*z0^3 + x^10*z0^4 + 2*x^13 + x^9*y*z0^3 - x^9*z0^4 - 2*x^10*y*z0 + x^10*z0^2 - x^8*z0^4 - 2*x^11 + 2*x^9*y*z0 - x^7*y*z0^3 + x^10 - x^8*y*z0 + x^8*z0^2 + x^6*y*z0^3 - x^6*z0^4 - 2*x^7*y*z0 + 2*x^7*z0^2 - 2*x^5*y*z0^3 - x^5*z0^4 + x^8 - x^6*y*z0 + 2*x^6*z0^2 - x^4*y*z0^3 - 2*x^4*z0^4 + x^7 + x^5*z0^2 + x^3*y*z0^3 - 2*x^3*z0^4 + 2*x^6 - 2*x^2*y*z0^3 + x^2*z0^4 + 2*x^5 + x^3*z0^2 + 2*x^2*y*z0 + x^2*z0^2 + x^3)/y) * dx,
+ ((-2*x^30*z0^3 - 2*x^31*z0 + 2*x^29*z0^3 + 2*x^27*y^2*z0^3 + x^30*z0 + 2*x^28*y^2*z0 - 2*x^26*y^2*z0^3 - x^27*y^2*z0 + x^27*z0^3 - x^28*z0 - 2*x^26*z0^3 + x^24*y^2*z0^3 - x^27*z0 - 2*x^25*y^2*z0 - x^24*z0^3 + x^25*z0 + 2*x^23*z0^3 + x^24*z0 + x^21*z0^3 - x^22*z0 - 2*x^20*z0^3 - x^21*z0 - x^18*z0^3 + 2*x^17*z0^3 + x^18*z0 + x^16*y^2*z0 + x^15*z0^3 - 2*x^14*z0^3 - x^15*z0 - x^12*z0^3 + 2*x^11*z0^3 + x^12*z0 - 2*x^8*y*z0^4 + 2*x^9*y*z0^2 - 2*x^9*z0^3 + 2*x^7*y*z0^4 + x^10*y + x^10*z0 - 2*x^8*y*z0^2 + 2*x^8*z0^3 - x^6*y*z0^4 - x^9*z0 - x^7*y*z0^2 + 2*x^7*z0^3 - 2*x^5*y*z0^4 - x^8*y + x^8*z0 + 2*x^6*y*z0^2 - x^6*z0^3 + 2*x^4*y*z0^4 + x^7*z0 - x^5*y*z0^2 + 2*x^5*z0^3 - x^3*y*z0^4 + 2*x^6*y + x^6*z0 + x^4*y*z0^2 - x^4*z0^3 - x^2*y*z0^4 - 2*x^5*y - 2*x^5*z0 + 2*x^3*z0^3 - x^4*y - 2*x^4*z0 - 2*x^2*y*z0^2 + 2*x^2*z0^3 - 2*x^3*y - x^3*z0 + 2*x^2*z0)/y) * dx,
+ ((-2*x^30*z0^4 - x^31*z0^2 + 2*x^29*z0^4 + 2*x^27*y^2*z0^4 + x^28*y^2*z0^2 - 2*x^26*y^2*z0^4 - 2*x^31 + 2*x^27*z0^4 + 2*x^30 + 2*x^28*y^2 + x^28*z0^2 - 2*x^26*z0^4 - 2*x^27*y^2 + 2*x^28 - 2*x^24*z0^4 - 2*x^27 - x^25*z0^2 + 2*x^23*z0^4 - 2*x^25 + 2*x^21*z0^4 + 2*x^24 + x^22*z0^2 - 2*x^20*z0^4 + 2*x^22 - 2*x^18*z0^4 - 2*x^21 - 2*x^19*z0^2 + 2*x^17*z0^4 + x^16*y^2*z0^2 - 2*x^19 + 2*x^15*z0^4 + 2*x^18 + 2*x^16*z0^2 - 2*x^14*z0^4 + 2*x^16 - 2*x^12*z0^4 - 2*x^15 - 2*x^13*z0^2 - 2*x^11*z0^4 + x^10*z0^4 - 2*x^13 + x^9*y*z0^3 + x^9*z0^4 + 2*x^12 - 2*x^10*y*z0 + x^10*z0^2 + 2*x^8*y*z0^3 - 2*x^8*z0^4 - x^11 + 2*x^9*y*z0 - 2*x^9*z0^2 + x^7*z0^4 + 2*x^8*y*z0 - x^8*z0^2 + x^6*z0^4 - 2*x^9 - x^7*y*z0 - 2*x^7*z0^2 + x^5*y*z0^3 - x^5*z0^4 - x^8 + 2*x^6*y*z0 + x^6*z0^2 - 2*x^4*z0^4 - 2*x^7 - 2*x^5*z0^2 + x^3*y*z0^3 - 2*x^3*z0^4 - 2*x^4*z0^2 + x^2*y*z0^3 - 2*x^2*z0^4 + 2*x^5 + 2*x^3*y*z0 - 2*x^3*z0^2 - 2*x^2*y*z0 - x^2*z0^2 + 2*x^3 + x^2)/y) * dx,
+ ((x^31*z0^3 - x^28*y^2*z0^3 + x^31*z0 + 2*x^29*z0^3 - x^30*z0 - x^28*y^2*z0 - x^28*z0^3 - 2*x^26*y^2*z0^3 + 2*x^29*z0 + x^27*y^2*z0 + x^27*z0^3 - x^28*z0 - 2*x^26*y^2*z0 - 2*x^26*z0^3 - x^24*y^2*z0^3 + x^27*z0 + x^25*z0^3 - 2*x^26*z0 - x^24*z0^3 + x^25*z0 + 2*x^23*z0^3 - x^24*z0 - x^22*z0^3 + 2*x^23*z0 + x^21*z0^3 - x^22*z0 - 2*x^20*z0^3 + x^21*z0 - 2*x^20*z0 - x^18*z0^3 + x^16*y^2*z0^3 + x^19*z0 + 2*x^17*z0^3 - x^18*z0 + 2*x^17*z0 + x^15*z0^3 - x^16*z0 - 2*x^14*z0^3 + x^15*z0 - 2*x^14*z0 - x^12*z0^3 + x^13*z0 + 2*x^11*z0^3 - x^9*y*z0^4 - x^12*z0 + 2*x^10*y*z0^2 + 2*x^11*z0 - x^9*y*z0^2 + x^9*z0^3 - x^7*y*z0^4 + 2*x^10*y - x^8*y*z0^2 + x^6*y*z0^4 + x^9*y + x^9*z0 - 2*x^7*y*z0^2 - x^7*z0^3 + 2*x^5*y*z0^4 - x^8*y - 2*x^8*z0 - x^6*y*z0^2 + x^7*z0 + 2*x^5*y*z0^2 - 2*x^5*z0^3 + x^6*z0 - x^4*z0^3 + x^2*y*z0^4 + x^5*y - x^5*z0 + x^3*y*z0^2 + x^3*z0^3 + 2*x^4*z0 - x^2*y*z0^2 - x^2*z0^3 + 2*x^3*y + 2*x^3*z0 + x^2*y + x^2*z0)/y) * dx,
+ ((2*x^31*z0^4 + x^30*z0^4 - 2*x^28*y^2*z0^4 - x^31*z0^2 - x^29*z0^4 - x^27*y^2*z0^4 - 2*x^30*z0^2 + x^28*y^2*z0^2 - 2*x^28*z0^4 + x^26*y^2*z0^4 - 2*x^31 + 2*x^27*y^2*z0^2 - x^27*z0^4 - 2*x^30 + 2*x^28*y^2 + x^28*z0^2 + x^26*z0^4 + 2*x^27*y^2 + 2*x^27*z0^2 + 2*x^25*z0^4 + 2*x^28 + x^24*z0^4 + 2*x^27 - x^25*z0^2 - x^23*z0^4 - 2*x^24*z0^2 - 2*x^22*z0^4 - 2*x^25 - x^21*z0^4 - 2*x^24 + x^22*z0^2 + x^20*z0^4 + 2*x^21*z0^2 + x^19*z0^4 + 2*x^22 + x^18*z0^4 + x^16*y^2*z0^4 + 2*x^21 - x^19*z0^2 - x^17*z0^4 - 2*x^18*z0^2 - x^16*z0^4 - 2*x^19 - x^15*z0^4 - 2*x^18 + x^16*z0^2 + x^14*z0^4 + 2*x^15*z0^2 + x^13*z0^4 + 2*x^16 + x^12*z0^4 + 2*x^15 - x^13*z0^2 - 2*x^12*z0^2 - x^10*y*z0^3 - 2*x^13 + x^9*y*z0^3 - 2*x^9*z0^4 - 2*x^12 - 2*x^10*y*z0 - x^10*z0^2 - 2*x^8*y*z0^3 - 2*x^8*z0^4 + 2*x^11 + 2*x^9*y*z0 + 2*x^9*z0^2 - x^7*y*z0^3 - 2*x^7*z0^4 + 2*x^10 + x^8*y*z0 - x^8*z0^2 - 2*x^6*y*z0^3 - 2*x^6*z0^4 - x^9 + 2*x^7*y*z0 - x^5*y*z0^3 + 2*x^5*z0^4 + 2*x^8 - x^6*y*z0 + x^6*z0^2 + 2*x^4*y*z0^3 - x^4*z0^4 + 2*x^7 - x^5*y*z0 + 2*x^6 + x^4*y*z0 - x^4*z0^2 + x^2*y*z0^3 - 2*x^2*z0^4 - 2*x^5 - 2*x^3*y*z0 + x^3*z0^2 - x^2*y*z0 - 2*x^2*z0^2 + 2*x^3 + x^2)/y) * dx,
+ ((-x^20 + x^17*y^2 + x^17 - x^14 + x^11 - x^8 + x^5 - x^2)/y) * dx,
+ ((-x^20*z0 + x^17*y^2*z0 + x^17*z0 - x^14*z0 + x^11*z0 - x^8*z0 + x^5*z0 - x^2*z0)/y) * dx,
+ ((-x^20*z0^2 + x^17*y^2*z0^2 + x^17*z0^2 - x^14*z0^2 + x^11*z0^2 - x^8*z0^2 + x^5*z0^2 - x^2*z0^2)/y) * dx,
+ ((-x^20*z0^3 + x^17*y^2*z0^3 + x^17*z0^3 - x^14*z0^3 + x^11*z0^3 - x^8*z0^3 + x^5*z0^3 - x^2*z0^3)/y) * dx,
+ ((-x^20*z0^4 + x^17*y^2*z0^4 + x^17*z0^4 - x^14*z0^4 + x^11*z0^4 - x^8*z0^4 + x^5*z0^4 - x^2*z0^4)/y) * dx,
+ ((-x^21 + x^18*y^2 + x^18 - x^15 + x^12 - x^9 + x^6 - x^3)/y) * dx,
+ ((-x^21*z0 + x^18*y^2*z0 + x^18*z0 - x^15*z0 + x^12*z0 - x^9*z0 + x^6*z0 - x^3*z0)/y) * dx,
+ ((-x^21*z0^2 + x^18*y^2*z0^2 + x^18*z0^2 - x^15*z0^2 + x^12*z0^2 - x^9*z0^2 + x^6*z0^2 - x^3*z0^2)/y) * dx,
+ ((-x^21*z0^3 + x^18*y^2*z0^3 + x^18*z0^3 - x^15*z0^3 + x^12*z0^3 - x^9*z0^3 + x^6*z0^3 - x^3*z0^3)/y) * dx,
+ ((-x^21*z0^4 + x^18*y^2*z0^4 + x^18*z0^4 - x^15*z0^4 + x^12*z0^4 - x^9*z0^4 + x^6*z0^4 - x^3*z0^4)/y) * dx,
+ ((-x^31*z0^4 - x^30*z0^4 + x^28*y^2*z0^4 + x^31*z0^2 - 2*x^29*z0^4 + x^27*y^2*z0^4 - x^28*y^2*z0^2 + x^28*z0^4 + 2*x^26*y^2*z0^4 + 2*x^31 + x^27*z0^4 - 2*x^28*y^2 - x^28*z0^2 + 2*x^26*z0^4 - x^25*z0^4 - 2*x^28 - x^24*z0^4 + x^25*z0^2 - 2*x^23*z0^4 + x^22*z0^4 + 2*x^25 + x^21*z0^4 - x^22*z0^2 + 2*x^20*z0^4 - x^19*z0^4 + 2*x^22 - x^18*z0^4 + x^19*y^2 + x^19*z0^2 - 2*x^17*z0^4 + x^16*z0^4 - 2*x^19 + x^15*z0^4 - x^16*z0^2 + 2*x^14*z0^4 - x^13*z0^4 + 2*x^16 - x^12*z0^4 + x^13*z0^2 + 2*x^11*z0^4 - 2*x^10*y*z0^3 - x^10*z0^4 - 2*x^13 - x^9*y*z0^3 + x^9*z0^4 + 2*x^10*y*z0 - x^10*z0^2 + x^8*z0^4 + 2*x^11 - 2*x^9*y*z0 + x^7*y*z0^3 - x^10 + x^8*y*z0 - x^8*z0^2 - x^6*y*z0^3 + x^6*z0^4 + 2*x^7*y*z0 - 2*x^7*z0^2 + 2*x^5*y*z0^3 + x^5*z0^4 - x^8 + x^6*y*z0 - 2*x^6*z0^2 + x^4*y*z0^3 + 2*x^4*z0^4 - x^7 - x^5*z0^2 - x^3*y*z0^3 + 2*x^3*z0^4 - 2*x^6 + 2*x^2*y*z0^3 - x^2*z0^4 - 2*x^5 - x^3*z0^2 - 2*x^2*y*z0 - x^2*z0^2 - x^3)/y) * dx,
+ ((2*x^30*z0^3 + 2*x^31*z0 - 2*x^29*z0^3 - 2*x^27*y^2*z0^3 - x^30*z0 - 2*x^28*y^2*z0 + 2*x^26*y^2*z0^3 + x^27*y^2*z0 - x^27*z0^3 + x^28*z0 + 2*x^26*z0^3 - x^24*y^2*z0^3 + x^27*z0 + 2*x^25*y^2*z0 + x^24*z0^3 - x^25*z0 - 2*x^23*z0^3 - x^24*z0 - x^21*z0^3 + 2*x^20*z0^3 + x^21*z0 + x^19*y^2*z0 + x^18*z0^3 - 2*x^17*z0^3 - x^18*z0 - x^15*z0^3 + 2*x^14*z0^3 + x^15*z0 + x^12*z0^3 - 2*x^11*z0^3 - x^12*z0 + 2*x^8*y*z0^4 - 2*x^9*y*z0^2 + 2*x^9*z0^3 - 2*x^7*y*z0^4 - x^10*y - x^10*z0 + 2*x^8*y*z0^2 - 2*x^8*z0^3 + x^6*y*z0^4 + x^9*z0 + x^7*y*z0^2 - 2*x^7*z0^3 + 2*x^5*y*z0^4 + x^8*y - x^8*z0 - 2*x^6*y*z0^2 + x^6*z0^3 - 2*x^4*y*z0^4 - x^7*z0 + x^5*y*z0^2 - 2*x^5*z0^3 + x^3*y*z0^4 - 2*x^6*y - x^6*z0 - x^4*y*z0^2 + x^4*z0^3 + x^2*y*z0^4 + 2*x^5*y + 2*x^5*z0 - 2*x^3*z0^3 + x^4*y + 2*x^4*z0 + 2*x^2*y*z0^2 - 2*x^2*z0^3 + 2*x^3*y + x^3*z0 - 2*x^2*z0)/y) * dx,
+ ((2*x^30*z0^4 + x^31*z0^2 - 2*x^29*z0^4 - 2*x^27*y^2*z0^4 - x^28*y^2*z0^2 + 2*x^26*y^2*z0^4 + 2*x^31 - 2*x^27*z0^4 - 2*x^30 - 2*x^28*y^2 - x^28*z0^2 + 2*x^26*z0^4 + 2*x^27*y^2 - 2*x^28 + 2*x^24*z0^4 + 2*x^27 + x^25*z0^2 - 2*x^23*z0^4 + 2*x^25 - 2*x^21*z0^4 - 2*x^24 - 2*x^22*z0^2 + 2*x^20*z0^4 + x^19*y^2*z0^2 - 2*x^22 + 2*x^18*z0^4 + 2*x^21 + 2*x^19*z0^2 - 2*x^17*z0^4 + 2*x^19 - 2*x^15*z0^4 - 2*x^18 - 2*x^16*z0^2 + 2*x^14*z0^4 - 2*x^16 + 2*x^12*z0^4 + 2*x^15 + 2*x^13*z0^2 + 2*x^11*z0^4 - x^10*z0^4 + 2*x^13 - x^9*y*z0^3 - x^9*z0^4 - 2*x^12 + 2*x^10*y*z0 - x^10*z0^2 - 2*x^8*y*z0^3 + 2*x^8*z0^4 + x^11 - 2*x^9*y*z0 + 2*x^9*z0^2 - x^7*z0^4 - 2*x^8*y*z0 + x^8*z0^2 - x^6*z0^4 + 2*x^9 + x^7*y*z0 + 2*x^7*z0^2 - x^5*y*z0^3 + x^5*z0^4 + x^8 - 2*x^6*y*z0 - x^6*z0^2 + 2*x^4*z0^4 + 2*x^7 + 2*x^5*z0^2 - x^3*y*z0^3 + 2*x^3*z0^4 + 2*x^4*z0^2 - x^2*y*z0^3 + 2*x^2*z0^4 - 2*x^5 - 2*x^3*y*z0 + 2*x^3*z0^2 + 2*x^2*y*z0 + x^2*z0^2 - 2*x^3 - x^2)/y) * dx,
+ ((-x^31*z0^3 + x^28*y^2*z0^3 - x^31*z0 - 2*x^29*z0^3 + x^30*z0 + x^28*y^2*z0 + x^28*z0^3 + 2*x^26*y^2*z0^3 - 2*x^29*z0 - x^27*y^2*z0 - x^27*z0^3 + x^28*z0 + 2*x^26*y^2*z0 + 2*x^26*z0^3 + x^24*y^2*z0^3 - x^27*z0 - x^25*z0^3 + 2*x^26*z0 + x^24*z0^3 - x^25*z0 - 2*x^23*z0^3 + x^24*z0 - 2*x^23*z0 - x^21*z0^3 + x^19*y^2*z0^3 + x^22*z0 + 2*x^20*z0^3 - x^21*z0 + 2*x^20*z0 + x^18*z0^3 - x^19*z0 - 2*x^17*z0^3 + x^18*z0 - 2*x^17*z0 - x^15*z0^3 + x^16*z0 + 2*x^14*z0^3 - x^15*z0 + 2*x^14*z0 + x^12*z0^3 - x^13*z0 - 2*x^11*z0^3 + x^9*y*z0^4 + x^12*z0 - 2*x^10*y*z0^2 - 2*x^11*z0 + x^9*y*z0^2 - x^9*z0^3 + x^7*y*z0^4 - 2*x^10*y + x^8*y*z0^2 - x^6*y*z0^4 - x^9*y - x^9*z0 + 2*x^7*y*z0^2 + x^7*z0^3 - 2*x^5*y*z0^4 + x^8*y + 2*x^8*z0 + x^6*y*z0^2 - x^7*z0 - 2*x^5*y*z0^2 + 2*x^5*z0^3 - x^6*z0 + x^4*z0^3 - x^2*y*z0^4 - x^5*y + x^5*z0 - x^3*y*z0^2 - x^3*z0^3 - 2*x^4*z0 + x^2*y*z0^2 + x^2*z0^3 - 2*x^3*y - 2*x^3*z0 - x^2*y - x^2*z0)/y) * dx,
+ ((-2*x^31*z0^4 - x^30*z0^4 + 2*x^28*y^2*z0^4 + x^31*z0^2 + x^29*z0^4 + x^27*y^2*z0^4 + 2*x^30*z0^2 - x^28*y^2*z0^2 + 2*x^28*z0^4 - x^26*y^2*z0^4 + 2*x^31 - 2*x^27*y^2*z0^2 + x^27*z0^4 + 2*x^30 - 2*x^28*y^2 - x^28*z0^2 - x^26*z0^4 - 2*x^27*y^2 - 2*x^27*z0^2 - 2*x^25*z0^4 - 2*x^28 - x^24*z0^4 - 2*x^27 + x^25*z0^2 + x^23*z0^4 + 2*x^24*z0^2 + x^22*z0^4 + 2*x^25 + x^21*z0^4 + x^19*y^2*z0^4 + 2*x^24 - x^22*z0^2 - x^20*z0^4 - 2*x^21*z0^2 - x^19*z0^4 - 2*x^22 - x^18*z0^4 - 2*x^21 + x^19*z0^2 + x^17*z0^4 + 2*x^18*z0^2 + x^16*z0^4 + 2*x^19 + x^15*z0^4 + 2*x^18 - x^16*z0^2 - x^14*z0^4 - 2*x^15*z0^2 - x^13*z0^4 - 2*x^16 - x^12*z0^4 - 2*x^15 + x^13*z0^2 + 2*x^12*z0^2 + x^10*y*z0^3 + 2*x^13 - x^9*y*z0^3 + 2*x^9*z0^4 + 2*x^12 + 2*x^10*y*z0 + x^10*z0^2 + 2*x^8*y*z0^3 + 2*x^8*z0^4 - 2*x^11 - 2*x^9*y*z0 - 2*x^9*z0^2 + x^7*y*z0^3 + 2*x^7*z0^4 - 2*x^10 - x^8*y*z0 + x^8*z0^2 + 2*x^6*y*z0^3 + 2*x^6*z0^4 + x^9 - 2*x^7*y*z0 + x^5*y*z0^3 - 2*x^5*z0^4 - 2*x^8 + x^6*y*z0 - x^6*z0^2 - 2*x^4*y*z0^3 + x^4*z0^4 - 2*x^7 + x^5*y*z0 - 2*x^6 - x^4*y*z0 + x^4*z0^2 - x^2*y*z0^3 + 2*x^2*z0^4 + 2*x^5 + 2*x^3*y*z0 - x^3*z0^2 + x^2*y*z0 + 2*x^2*z0^2 - 2*x^3 - x^2)/y) * dx,
+ ((-x^23 + x^20*y^2 + x^20 - x^17 + x^14 - x^11 + x^8 - x^5 + x^2)/y) * dx,
+ ((-x^23*z0 + x^20*y^2*z0 + x^20*z0 - x^17*z0 + x^14*z0 - x^11*z0 + x^8*z0 - x^5*z0 + x^2*z0)/y) * dx,
+ ((-x^23*z0^2 + x^20*y^2*z0^2 + x^20*z0^2 - x^17*z0^2 + x^14*z0^2 - x^11*z0^2 + x^8*z0^2 - x^5*z0^2 + x^2*z0^2)/y) * dx,
+ ((-x^23*z0^3 + x^20*y^2*z0^3 + x^20*z0^3 - x^17*z0^3 + x^14*z0^3 - x^11*z0^3 + x^8*z0^3 - x^5*z0^3 + x^2*z0^3)/y) * dx,
+ ((-x^23*z0^4 + x^20*y^2*z0^4 + x^20*z0^4 - x^17*z0^4 + x^14*z0^4 - x^11*z0^4 + x^8*z0^4 - x^5*z0^4 + x^2*z0^4)/y) * dx,
+ ((2*x^31*z0^4 - x^30*z0^4 - 2*x^28*y^2*z0^4 - 2*x^31*z0^2 - x^29*z0^4 + x^27*y^2*z0^4 - 2*x^30*z0^2 + 2*x^28*y^2*z0^2 - 2*x^28*z0^4 + x^26*y^2*z0^4 + 2*x^31 + 2*x^27*y^2*z0^2 + x^27*z0^4 + x^30 - 2*x^28*y^2 + 2*x^28*z0^2 + x^26*z0^4 - x^27*y^2 + 2*x^27*z0^2 + 2*x^25*z0^4 - 2*x^28 - x^24*z0^4 - x^27 - 2*x^25*z0^2 - x^23*z0^4 - 2*x^24*z0^2 - 2*x^22*z0^4 + 2*x^25 + x^21*z0^4 + 2*x^22*z0^2 + x^20*z0^4 + x^21*y^2 + 2*x^21*z0^2 + 2*x^19*z0^4 - 2*x^22 - x^18*z0^4 - 2*x^19*z0^2 - x^17*z0^4 - 2*x^18*z0^2 - 2*x^16*z0^4 + 2*x^19 + x^15*z0^4 + 2*x^16*z0^2 + x^14*z0^4 + 2*x^15*z0^2 + 2*x^13*z0^4 - 2*x^16 - x^12*z0^4 - 2*x^13*z0^2 - 2*x^11*z0^4 - 2*x^12*z0^2 - x^10*y*z0^3 + 2*x^13 + 2*x^9*y*z0^3 + x^9*z0^4 + x^10*y*z0 - 2*x^8*y*z0^3 - x^8*z0^4 - x^11 - 2*x^9*y*z0 + 2*x^9*z0^2 - 2*x^7*y*z0^3 - 2*x^7*z0^4 - x^10 - 2*x^8*z0^2 + x^6*y*z0^3 - 2*x^6*z0^4 + 2*x^9 + 2*x^7*y*z0 - x^7*z0^2 + 2*x^5*y*z0^3 + x^5*z0^4 + 2*x^8 - 2*x^6*y*z0 - 2*x^6*z0^2 + 2*x^4*y*z0^3 + 2*x^4*z0^4 - x^7 + 2*x^5*z0^2 - x^3*z0^4 - 2*x^6 + 2*x^4*y*z0 + 2*x^4*z0^2 + x^2*z0^4 + x^5 - x^3*y*z0 - x^2*y*z0 + 2*x^3 - 2*x^2)/y) * dx,
+ ((x^31*z0^3 + x^30*z0^3 - x^28*y^2*z0^3 + 2*x^31*z0 + 2*x^29*z0^3 - x^27*y^2*z0^3 - x^30*z0 - 2*x^28*y^2*z0 - x^28*z0^3 - 2*x^26*y^2*z0^3 + x^27*y^2*z0 + x^28*z0 - 2*x^26*z0^3 - x^24*y^2*z0^3 + x^27*z0 + 2*x^25*y^2*z0 + x^25*z0^3 - x^25*z0 + 2*x^23*z0^3 - 2*x^24*z0 - x^22*z0^3 + x^21*y^2*z0 + x^22*z0 - 2*x^20*z0^3 + 2*x^21*z0 + x^19*z0^3 - x^19*z0 + 2*x^17*z0^3 - 2*x^18*z0 - x^16*z0^3 + x^16*z0 - 2*x^14*z0^3 + 2*x^15*z0 + x^13*z0^3 - x^13*z0 + 2*x^11*z0^3 - x^9*y*z0^4 - 2*x^12*z0 + 2*x^10*y*z0^2 - x^10*z0^3 + x^8*y*z0^4 - 2*x^9*y*z0^2 - x^9*z0^3 - 2*x^7*y*z0^4 - x^10*y + x^10*z0 - x^8*y*z0^2 + 2*x^8*z0^3 + 2*x^6*y*z0^4 + x^9*y + 2*x^7*y*z0^2 - x^7*z0^3 - 2*x^5*y*z0^4 + 2*x^8*y + 2*x^8*z0 + x^6*y*z0^2 - 2*x^6*z0^3 - 2*x^4*y*z0^4 - x^7*y + 2*x^5*z0^3 + 2*x^6*y - 2*x^6*z0 - 2*x^4*y*z0^2 - x^4*z0^3 + x^5*y + 2*x^5*z0 + 2*x^3*y*z0^2 - 2*x^4*y + 2*x^4*z0 + 2*x^2*z0^3 + 2*x^3*y + 2*x^2*z0)/y) * dx,
+ ((-2*x^31*z0^4 - 2*x^30*z0^4 + 2*x^28*y^2*z0^4 - x^31*z0^2 + x^29*z0^4 + 2*x^27*y^2*z0^4 + x^28*y^2*z0^2 + 2*x^28*z0^4 - x^26*y^2*z0^4 - 2*x^31 + 2*x^27*z0^4 - 2*x^30 + 2*x^28*y^2 + x^28*z0^2 - x^26*z0^4 + 2*x^27*y^2 - 2*x^25*z0^4 + 2*x^28 - 2*x^24*z0^4 + 2*x^27 - x^25*z0^2 + x^23*z0^4 - x^24*z0^2 + 2*x^22*z0^4 - 2*x^25 + x^21*y^2*z0^2 + 2*x^21*z0^4 - 2*x^24 + x^22*z0^2 - x^20*z0^4 + x^21*z0^2 - 2*x^19*z0^4 + 2*x^22 - 2*x^18*z0^4 + 2*x^21 - x^19*z0^2 + x^17*z0^4 - x^18*z0^2 + 2*x^16*z0^4 - 2*x^19 + 2*x^15*z0^4 - 2*x^18 + x^16*z0^2 - x^14*z0^4 + x^15*z0^2 - 2*x^13*z0^4 + 2*x^16 - 2*x^12*z0^4 + 2*x^15 - x^13*z0^2 + 2*x^11*z0^4 - x^12*z0^2 + x^10*y*z0^3 - 2*x^13 + x^9*y*z0^3 - x^9*z0^4 - 2*x^12 - 2*x^10*y*z0 - 2*x^10*z0^2 - x^8*z0^4 + x^11 + 2*x^9*y*z0 + x^9*z0^2 - x^7*y*z0^3 - x^10 + x^8*y*z0 + x^8*z0^2 - x^6*z0^4 + 2*x^9 + x^7*y*z0 + 2*x^7*z0^2 - x^5*y*z0^3 - 2*x^5*z0^4 + x^6*y*z0 + 2*x^6*z0^2 + 2*x^4*y*z0^3 + x^4*z0^4 - 2*x^7 - x^5*z0^2 - 2*x^3*y*z0^3 - x^6 + 2*x^4*y*z0 + 2*x^4*z0^2 - 2*x^2*y*z0^3 - 2*x^2*z0^4 - x^5 + 2*x^3*y*z0 - 2*x^3*z0^2 + 2*x^2*z0^2 + 2*x^2)/y) * dx,
+ ((2*x^31*z0^3 - x^30*z0^3 - 2*x^28*y^2*z0^3 - 2*x^31*z0 + x^29*z0^3 + x^27*y^2*z0^3 + x^30*z0 + 2*x^28*y^2*z0 - 2*x^28*z0^3 - x^26*y^2*z0^3 - x^27*y^2*z0 - 2*x^27*z0^3 - 2*x^28*z0 - x^26*z0^3 - 2*x^24*y^2*z0^3 - x^27*z0 - x^25*y^2*z0 + 2*x^25*z0^3 + x^24*z0^3 + 2*x^25*z0 + x^23*z0^3 + x^21*y^2*z0^3 + x^24*z0 - 2*x^22*z0^3 - x^21*z0^3 - 2*x^22*z0 - x^20*z0^3 - x^21*z0 + 2*x^19*z0^3 + x^18*z0^3 + 2*x^19*z0 + x^17*z0^3 + x^18*z0 - 2*x^16*z0^3 - x^15*z0^3 - 2*x^16*z0 - x^14*z0^3 - x^15*z0 + 2*x^13*z0^3 + x^12*z0^3 + 2*x^13*z0 + x^11*z0^3 - 2*x^9*y*z0^4 + x^12*z0 - x^10*y*z0^2 - x^8*y*z0^4 + 2*x^9*y*z0^2 - 2*x^7*y*z0^4 + x^10*y + x^10*z0 - 2*x^8*y*z0^2 - x^8*z0^3 - x^6*y*z0^4 + 2*x^9*y + x^9*z0 - x^7*y*z0^2 + 2*x^7*z0^3 - x^5*y*z0^4 - x^8*y + 2*x^8*z0 - 2*x^6*z0^3 + x^4*y*z0^4 + 2*x^7*y - 2*x^7*z0 + 2*x^5*y*z0^2 + 2*x^5*z0^3 + 2*x^3*y*z0^4 + x^6*y - 2*x^6*z0 - x^4*z0^3 + x^2*y*z0^4 + x^5*y - 2*x^5*z0 + 2*x^3*y*z0^2 + x^3*z0^3 - 2*x^4*y + x^4*z0 - 2*x^2*y*z0^2 + x^3*y + x^2*y - 2*x^2*z0)/y) * dx,
+ ((x^31*z0^4 - 2*x^30*z0^4 - x^28*y^2*z0^4 + 2*x^31*z0^2 - x^29*z0^4 + 2*x^27*y^2*z0^4 - 2*x^30*z0^2 - 2*x^28*y^2*z0^2 - x^28*z0^4 + x^26*y^2*z0^4 + x^31 + 2*x^27*y^2*z0^2 + 2*x^27*z0^4 + x^30 - x^28*y^2 - 2*x^28*z0^2 + x^26*z0^4 - x^27*y^2 + 2*x^27*z0^2 + x^25*z0^4 - x^28 + 2*x^24*z0^4 - x^27 + 2*x^25*z0^2 - x^23*z0^4 + x^21*y^2*z0^4 - 2*x^24*z0^2 - x^22*z0^4 + x^25 - 2*x^21*z0^4 + x^24 - 2*x^22*z0^2 + x^20*z0^4 + 2*x^21*z0^2 + x^19*z0^4 - x^22 + 2*x^18*z0^4 - x^21 + 2*x^19*z0^2 - x^17*z0^4 - 2*x^18*z0^2 - x^16*z0^4 + x^19 - 2*x^15*z0^4 + x^18 - 2*x^16*z0^2 + x^14*z0^4 + 2*x^15*z0^2 + x^13*z0^4 - x^16 + 2*x^12*z0^4 - x^15 + 2*x^13*z0^2 + x^11*z0^4 - 2*x^12*z0^2 + 2*x^10*y*z0^3 + 2*x^10*z0^4 + x^13 - 2*x^9*y*z0^3 + x^12 - x^10*y*z0 - 2*x^8*z0^4 + 2*x^11 - x^9*y*z0 - 2*x^9*z0^2 - 2*x^7*y*z0^3 - x^7*z0^4 - x^8*y*z0 - 2*x^6*y*z0^3 + x^9 - 2*x^7*y*z0 + 2*x^7*z0^2 - x^5*z0^4 - x^6*y*z0 + x^6*z0^2 - 2*x^4*y*z0^3 - 2*x^4*z0^4 + 2*x^7 + 2*x^5*y*z0 + 2*x^5*z0^2 - x^3*y*z0^3 + x^3*z0^4 + x^6 + x^4*y*z0 + x^4*z0^2 - x^2*y*z0^3 + 2*x^2*z0^4 - 2*x^3*y*z0 + x^3*z0^2 + 2*x^2*y*z0 - 2*x^2*z0^2 + 2*x^3 + 2*x^2)/y) * dx,
+ ((2*x^31*z0^4 - 2*x^30*z0^4 - 2*x^28*y^2*z0^4 + 2*x^31*z0^2 - x^29*z0^4 + 2*x^27*y^2*z0^4 + x^30*z0^2 - 2*x^28*y^2*z0^2 - 2*x^28*z0^4 + x^26*y^2*z0^4 - x^31 - x^27*y^2*z0^2 + 2*x^27*z0^4 - 2*x^30 + x^28*y^2 - 2*x^28*z0^2 + x^26*z0^4 + 2*x^27*y^2 - x^27*z0^2 + 2*x^25*z0^4 + x^28 - 2*x^24*z0^4 + 2*x^27 + 2*x^25*z0^2 - x^23*z0^4 + x^24*z0^2 - 2*x^22*z0^4 - 2*x^25 + 2*x^21*z0^4 - 2*x^24 + x^22*y^2 - 2*x^22*z0^2 + x^20*z0^4 - x^21*z0^2 + 2*x^19*z0^4 + 2*x^22 - 2*x^18*z0^4 + 2*x^21 + 2*x^19*z0^2 - x^17*z0^4 + x^18*z0^2 - 2*x^16*z0^4 - 2*x^19 + 2*x^15*z0^4 - 2*x^18 - 2*x^16*z0^2 + x^14*z0^4 - x^15*z0^2 + 2*x^13*z0^4 + 2*x^16 - 2*x^12*z0^4 + 2*x^15 + 2*x^13*z0^2 + 2*x^11*z0^4 + x^12*z0^2 - x^10*y*z0^3 - 2*x^13 - 2*x^9*y*z0^3 + x^9*z0^4 - 2*x^12 - x^10*y*z0 + x^10*z0^2 + x^8*y*z0^3 - 2*x^8*z0^4 + x^9*y*z0 - 2*x^9*z0^2 + 2*x^7*y*z0^3 - 2*x^10 + x^8*y*z0 - x^8*z0^2 + x^6*y*z0^3 + x^6*z0^4 - 2*x^9 - x^5*y*z0^3 - 2*x^8 + 2*x^6*y*z0 + x^6*z0^2 + x^4*y*z0^3 + x^4*z0^4 + 2*x^7 - x^5*y*z0 + 2*x^5*z0^2 - 2*x^3*y*z0^3 + 2*x^3*z0^4 - x^6 + 2*x^4*y*z0 + 2*x^4*z0^2 - x^2*y*z0^3 - x^2*z0^4 + x^5 - x^3 - 2*x^2)/y) * dx,
+ ((2*x^31*z0^3 - 2*x^30*z0^3 - 2*x^28*y^2*z0^3 - x^31*z0 - 2*x^29*z0^3 + 2*x^27*y^2*z0^3 - 2*x^30*z0 + x^28*y^2*z0 - 2*x^28*z0^3 + 2*x^26*y^2*z0^3 + 2*x^27*y^2*z0 - x^27*z0^3 + 2*x^28*z0 + 2*x^26*z0^3 - 2*x^24*y^2*z0^3 + 2*x^27*z0 - x^25*y^2*z0 + 2*x^25*z0^3 + x^24*z0^3 + 2*x^25*z0 - 2*x^23*z0^3 - 2*x^24*z0 + x^22*y^2*z0 - 2*x^22*z0^3 - x^21*z0^3 - 2*x^22*z0 + 2*x^20*z0^3 + 2*x^21*z0 + 2*x^19*z0^3 + x^18*z0^3 + 2*x^19*z0 - 2*x^17*z0^3 - 2*x^18*z0 - 2*x^16*z0^3 - x^15*z0^3 - 2*x^16*z0 + 2*x^14*z0^3 + 2*x^15*z0 + 2*x^13*z0^3 + x^12*z0^3 + 2*x^13*z0 - 2*x^11*z0^3 - 2*x^9*y*z0^4 - 2*x^12*z0 - x^10*y*z0^2 + 2*x^10*z0^3 - 2*x^8*y*z0^4 + x^9*y*z0^2 + 2*x^9*z0^3 - 2*x^10*y - 2*x^10*z0 + 2*x^8*y*z0^2 + 2*x^8*z0^3 + 2*x^6*y*z0^4 + 2*x^9*y + x^7*y*z0^2 + 2*x^5*y*z0^4 - x^8*y - x^6*y*z0^2 - 2*x^6*z0^3 + 2*x^4*y*z0^4 - x^7*y + x^7*z0 - 2*x^5*y*z0^2 - 2*x^5*z0^3 + x^3*y*z0^4 - x^6*y + x^6*z0 + x^4*y*z0^2 + 2*x^4*z0^3 - x^5*y - 2*x^5*z0 - x^3*y*z0^2 + x^3*z0^3 + x^4*y + x^4*z0 - x^2*y*z0^2 + 2*x^2*z0^3 + x^3*y - 2*x^3*z0 + 2*x^2*y + 2*x^2*z0)/y) * dx,
+ ((x^31*z0^4 + 2*x^30*z0^4 - x^28*y^2*z0^4 - 2*x^31*z0^2 + x^29*z0^4 - 2*x^27*y^2*z0^4 + 2*x^28*y^2*z0^2 - x^28*z0^4 - x^26*y^2*z0^4 + x^31 - 2*x^27*z0^4 + x^30 - x^28*y^2 + 2*x^28*z0^2 - x^26*z0^4 - x^27*y^2 + x^25*z0^4 - x^28 + 2*x^24*z0^4 - x^27 + 2*x^25*z0^2 + x^23*z0^4 + x^22*y^2*z0^2 - x^22*z0^4 + x^25 - 2*x^21*z0^4 + x^24 - 2*x^22*z0^2 - x^20*z0^4 + x^19*z0^4 - x^22 + 2*x^18*z0^4 - x^21 + 2*x^19*z0^2 + x^17*z0^4 - x^16*z0^4 + x^19 - 2*x^15*z0^4 + x^18 - 2*x^16*z0^2 - x^14*z0^4 + x^13*z0^4 - x^16 + 2*x^12*z0^4 - x^15 + 2*x^13*z0^2 - 2*x^11*z0^4 + 2*x^10*y*z0^3 - x^10*z0^4 + x^13 + 2*x^9*y*z0^3 + 2*x^9*z0^4 + x^12 + x^10*y*z0 + 2*x^10*z0^2 - x^8*y*z0^3 + x^8*z0^4 + 2*x^11 - x^9*y*z0 + 2*x^9*z0^2 + 2*x^7*z0^4 - x^10 - 2*x^8*y*z0 - 2*x^8*z0^2 + 2*x^6*y*z0^3 - 2*x^9 + 2*x^7*y*z0 + x^5*y*z0^3 - 2*x^8 - x^6*z0^2 - x^4*y*z0^3 + x^4*z0^4 + x^7 - 2*x^5*y*z0 + 2*x^5*z0^2 + x^3*y*z0^3 + x^3*z0^4 + x^4*z0^2 - x^2*z0^4 + x^5 + 2*x^3*y*z0 - x^3*z0^2 + 2*x^2*y*z0 + 2*x^2*z0^2 - 2*x^3 + x^2)/y) * dx,
+ ((-x^31*z0^3 + x^30*z0^3 + x^28*y^2*z0^3 - x^31*z0 + 2*x^29*z0^3 - x^27*y^2*z0^3 + x^30*z0 + x^28*y^2*z0 + x^28*z0^3 - 2*x^26*y^2*z0^3 + x^29*z0 - x^27*y^2*z0 - x^27*z0^3 - x^26*y^2*z0 - 2*x^26*z0^3 - x^27*z0 + x^25*y^2*z0 - 2*x^25*z0^3 - x^26*z0 + x^24*z0^3 + x^22*y^2*z0^3 + 2*x^23*z0^3 + x^24*z0 + 2*x^22*z0^3 + x^23*z0 - x^21*z0^3 - 2*x^20*z0^3 - x^21*z0 - 2*x^19*z0^3 - x^20*z0 + x^18*z0^3 + 2*x^17*z0^3 + x^18*z0 + 2*x^16*z0^3 + x^17*z0 - x^15*z0^3 - 2*x^14*z0^3 - x^15*z0 - 2*x^13*z0^3 - x^14*z0 + x^12*z0^3 + 2*x^11*z0^3 + x^9*y*z0^4 + x^12*z0 - 2*x^10*y*z0^2 + x^10*z0^3 + x^8*y*z0^4 + x^11*z0 + x^9*y*z0^2 - x^7*y*z0^4 - 2*x^10*y - x^10*z0 - 2*x^8*z0^3 - 2*x^6*y*z0^4 - x^9*y + 2*x^7*y*z0^2 - x^7*z0^3 + x^5*y*z0^4 - x^8*y - 2*x^8*z0 - 2*x^6*y*z0^2 + x^4*y*z0^4 + x^7*y + 2*x^7*z0 - x^5*y*z0^2 - x^5*z0^3 - 2*x^3*y*z0^4 - 2*x^6*y + x^6*z0 + 2*x^4*y*z0^2 - x^4*z0^3 + x^5*y + 2*x^5*z0 - x^3*z0^3 - x^4*y - x^2*z0^3 + 2*x^3*z0 + 2*x^2*y - 2*x^2*z0)/y) * dx,
+ ((-x^31*z0^4 + 2*x^30*z0^4 + x^28*y^2*z0^4 + x^31*z0^2 + 2*x^29*z0^4 - 2*x^27*y^2*z0^4 - x^30*z0^2 - x^28*y^2*z0^2 + x^28*z0^4 - 2*x^26*y^2*z0^4 - x^31 + x^27*y^2*z0^2 - 2*x^27*z0^4 - 2*x^30 + x^28*y^2 - x^28*z0^2 - 2*x^26*z0^4 + 2*x^27*y^2 + x^27*z0^2 - 2*x^25*z0^4 + x^28 + 2*x^24*z0^4 + x^22*y^2*z0^4 + 2*x^27 + x^25*z0^2 + 2*x^23*z0^4 - x^24*z0^2 + 2*x^22*z0^4 - x^25 - 2*x^21*z0^4 - 2*x^24 - x^22*z0^2 - 2*x^20*z0^4 + x^21*z0^2 - 2*x^19*z0^4 + x^22 + 2*x^18*z0^4 + 2*x^21 + x^19*z0^2 + 2*x^17*z0^4 - x^18*z0^2 + 2*x^16*z0^4 - x^19 - 2*x^15*z0^4 - 2*x^18 - x^16*z0^2 - 2*x^14*z0^4 + x^15*z0^2 - 2*x^13*z0^4 + x^16 + 2*x^12*z0^4 + 2*x^15 + x^13*z0^2 - x^12*z0^2 - 2*x^10*y*z0^3 + 2*x^10*z0^4 - x^13 - x^9*y*z0^3 - 2*x^9*z0^4 - 2*x^12 + 2*x^10*y*z0 + 2*x^10*z0^2 - 2*x^8*y*z0^3 - x^8*z0^4 - 2*x^11 + x^9*y*z0 - 2*x^7*y*z0^3 + 2*x^7*z0^4 + x^10 + x^8*y*z0 - x^6*y*z0^3 - 2*x^9 - x^7*y*z0 + 2*x^7*z0^2 + x^5*y*z0^3 + x^5*z0^4 - 2*x^8 + 2*x^6*y*z0 - 2*x^6*z0^2 - 2*x^4*y*z0^3 - x^4*z0^4 - 2*x^7 + 2*x^3*z0^4 + 2*x^6 - x^4*y*z0 + x^4*z0^2 - x^2*y*z0^3 - x^2*z0^4 - 2*x^5 + x^3*y*z0 - x^3*z0^2 + x^2*y*z0 + x^2*z0^2 - x^3 + x^2)/y) * dx,
+ ((x^31*z0^4 - x^30*z0^4 - x^28*y^2*z0^4 - x^31*z0^2 - x^29*z0^4 + x^27*y^2*z0^4 + x^30*z0^2 + x^28*y^2*z0^2 - x^28*z0^4 + x^26*y^2*z0^4 - x^31 - x^27*y^2*z0^2 + x^27*z0^4 + x^28*y^2 + x^28*z0^2 + x^26*z0^4 - x^27*z0^2 + x^25*z0^4 + x^28 - x^24*z0^4 - x^25*z0^2 - x^23*z0^4 - x^26 + x^24*z0^2 - x^22*z0^4 - x^25 + x^23*y^2 + x^21*z0^4 + x^22*z0^2 + x^20*z0^4 + x^23 - x^21*z0^2 + x^19*z0^4 + x^22 - x^18*z0^4 - x^19*z0^2 - x^17*z0^4 - x^20 + x^18*z0^2 - x^16*z0^4 - x^19 + x^15*z0^4 + x^16*z0^2 + x^14*z0^4 + x^17 - x^15*z0^2 + x^13*z0^4 + x^16 - x^12*z0^4 - x^13*z0^2 + 2*x^11*z0^4 - x^14 + x^12*z0^2 + 2*x^10*y*z0^3 - 2*x^10*z0^4 - x^13 + x^9*y*z0^3 + x^9*z0^4 - 2*x^10*y*z0 + x^10*z0^2 - 2*x^8*y*z0^3 + 2*x^8*z0^4 + 2*x^11 + x^9*y*z0 - 2*x^9*z0^2 - x^7*z0^4 + x^10 + 2*x^8*y*z0 - 2*x^8*z0^2 + x^6*y*z0^3 - x^6*z0^4 + x^9 - x^7*y*z0 - 2*x^7*z0^2 - 2*x^5*y*z0^3 - x^5*z0^4 - 2*x^8 + x^6*y*z0 + 2*x^6*z0^2 + x^4*y*z0^3 - x^7 - x^5*y*z0 - 2*x^5*z0^2 - x^3*y*z0^3 - 2*x^4*y*z0 + x^4*z0^2 + x^2*y*z0^3 + 2*x^2*z0^4 + 2*x^5 + 2*x^3*y*z0 + x^3*z0^2 - 2*x^2*y*z0 + 2*x^2*z0^2 - x^2)/y) * dx,
+ ((x^31*z0^3 + x^30*z0^3 - x^28*y^2*z0^3 - 2*x^29*z0^3 - x^27*y^2*z0^3 - 2*x^30*z0 - x^28*z0^3 + 2*x^26*y^2*z0^3 + 2*x^27*y^2*z0 + 2*x^26*z0^3 - x^24*y^2*z0^3 + 2*x^27*z0 + x^25*z0^3 - x^26*z0 + x^23*y^2*z0 - 2*x^23*z0^3 - 2*x^24*z0 - x^22*z0^3 + x^23*z0 + 2*x^20*z0^3 + 2*x^21*z0 + x^19*z0^3 - x^20*z0 - 2*x^17*z0^3 - 2*x^18*z0 - x^16*z0^3 + x^17*z0 + 2*x^14*z0^3 + 2*x^15*z0 + x^13*z0^3 - x^14*z0 - 2*x^11*z0^3 - x^9*y*z0^4 - 2*x^12*z0 + 2*x^10*y*z0^2 + 2*x^10*z0^3 + x^8*y*z0^4 + x^11*z0 - x^7*y*z0^4 - 2*x^10*z0 - x^8*y*z0^2 - 2*x^8*z0^3 - x^6*y*z0^4 + x^9*y - 2*x^9*z0 - 2*x^7*y*z0^2 + 2*x^7*z0^3 + x^5*y*z0^4 - 2*x^8*y + x^8*z0 + 2*x^6*z0^3 + 2*x^5*y*z0^2 - 2*x^5*z0^3 - x^6*y - 2*x^6*z0 - 2*x^4*y*z0^2 - x^4*z0^3 - 2*x^2*y*z0^4 + x^5*y - 2*x^5*z0 + x^3*y*z0^2 + 2*x^3*z0^3 - 2*x^4*y - 2*x^4*z0 + 2*x^2*z0^3 - 2*x^3*y - 2*x^3*z0 + 2*x^2*y + x^2*z0)/y) * dx,
+ ((2*x^31*z0^4 + x^30*z0^4 - 2*x^28*y^2*z0^4 + x^31*z0^2 - x^27*y^2*z0^4 - x^28*y^2*z0^2 - 2*x^28*z0^4 - x^27*z0^4 - x^28*z0^2 + 2*x^25*z0^4 - x^26*z0^2 + x^24*z0^4 + x^25*z0^2 + x^23*y^2*z0^2 - 2*x^22*z0^4 + x^23*z0^2 - x^21*z0^4 - x^22*z0^2 + 2*x^19*z0^4 - x^20*z0^2 + x^18*z0^4 + x^19*z0^2 - 2*x^16*z0^4 + x^17*z0^2 - x^15*z0^4 - x^16*z0^2 + 2*x^13*z0^4 - x^14*z0^2 + x^12*z0^4 + x^13*z0^2 - x^10*y*z0^3 + x^10*z0^4 + x^11*z0^2 - x^9*y*z0^3 + x^9*z0^4 + 2*x^10*y*z0 + x^8*y*z0^3 - 2*x^11 - x^9*z0^2 - x^7*y*z0^3 - x^7*z0^4 + x^10 + x^8*y*z0 + x^8*z0^2 + 2*x^6*z0^4 + 2*x^9 + 2*x^7*y*z0 + 2*x^7*z0^2 - x^5*y*z0^3 - x^5*z0^4 + 2*x^8 + 2*x^6*z0^2 - 2*x^4*y*z0^3 + x^4*z0^4 - x^7 + x^5*z0^2 - 2*x^3*y*z0^3 + 2*x^3*z0^4 - 2*x^4*z0^2 + 2*x^2*y*z0^3 - x^2*z0^4 - 2*x^5 - 2*x^3*y*z0 - x^3*z0^2 + x^2*y*z0 + x^2*z0^2 - x^3 + 2*x^2)/y) * dx,
+ ((-2*x^31*z0^3 - 2*x^30*z0^3 + 2*x^28*y^2*z0^3 + 2*x^31*z0 - x^29*z0^3 + 2*x^27*y^2*z0^3 - 2*x^30*z0 - 2*x^28*y^2*z0 + 2*x^28*z0^3 + x^26*y^2*z0^3 - x^29*z0 + 2*x^27*y^2*z0 - x^27*z0^3 + x^26*y^2*z0 - 2*x^24*y^2*z0^3 + 2*x^27*z0 - 2*x^25*y^2*z0 - 2*x^25*z0^3 + x^23*y^2*z0^3 + x^26*z0 + x^24*z0^3 - 2*x^24*z0 + 2*x^22*z0^3 - x^23*z0 - x^21*z0^3 + 2*x^21*z0 - 2*x^19*z0^3 + x^20*z0 + x^18*z0^3 - 2*x^18*z0 + 2*x^16*z0^3 - x^17*z0 - x^15*z0^3 + 2*x^15*z0 - 2*x^13*z0^3 + x^14*z0 + x^12*z0^3 + 2*x^9*y*z0^4 - 2*x^12*z0 + x^10*y*z0^2 - 2*x^10*z0^3 - 2*x^8*y*z0^4 - x^11*z0 - 2*x^9*y*z0^2 - x^7*y*z0^4 - x^10*y - 2*x^10*z0 + x^8*y*z0^2 - x^8*z0^3 - 2*x^6*y*z0^4 - 2*x^9*y - 2*x^9*z0 - 2*x^7*z0^3 - x^5*y*z0^4 - x^8*y + x^8*z0 + x^6*y*z0^2 + 2*x^6*z0^3 - 2*x^7*y - x^7*z0 + x^5*y*z0^2 + 2*x^5*z0^3 - x^6*y + x^6*z0 + x^4*y*z0^2 + 2*x^4*z0^3 - 2*x^5*y + 2*x^5*z0 + 2*x^3*z0^3 + 2*x^4*z0 + x^2*y*z0^2 + 2*x^2*z0^3 + 2*x^3*y - 2*x^3*z0 + 2*x^2*y + x^2*z0)/y) * dx,
+ ((-x^30*z0^4 + x^31*z0^2 - 2*x^29*z0^4 + x^27*y^2*z0^4 + 2*x^30*z0^2 - x^28*y^2*z0^2 + 2*x^26*y^2*z0^4 + x^31 - 2*x^27*y^2*z0^2 + x^27*z0^4 - 2*x^30 - x^28*y^2 - x^28*z0^2 + x^26*z0^4 + 2*x^27*y^2 - 2*x^27*z0^2 + x^23*y^2*z0^4 - x^28 - x^24*z0^4 + 2*x^27 + x^25*z0^2 - x^23*z0^4 + 2*x^24*z0^2 + x^25 + x^21*z0^4 - 2*x^24 - x^22*z0^2 + x^20*z0^4 - 2*x^21*z0^2 - x^22 - x^18*z0^4 + 2*x^21 + x^19*z0^2 - x^17*z0^4 + 2*x^18*z0^2 + x^19 + x^15*z0^4 - 2*x^18 - x^16*z0^2 + x^14*z0^4 - 2*x^15*z0^2 - x^16 - x^12*z0^4 + 2*x^15 + x^13*z0^2 + x^11*z0^4 + 2*x^12*z0^2 + 2*x^10*z0^4 + x^13 - x^9*y*z0^3 - x^9*z0^4 - 2*x^12 + 2*x^10*y*z0 + 2*x^10*z0^2 - x^8*z0^4 - 2*x^11 - x^9*y*z0 + 2*x^7*z0^4 - x^10 - x^8*y*z0 + x^6*y*z0^3 + x^6*z0^4 - 2*x^9 - x^7*z0^2 + x^5*y*z0^3 - x^5*z0^4 + 2*x^8 + 2*x^6*y*z0 - 2*x^6*z0^2 + x^7 + x^5*y*z0 + x^5*z0^2 - 2*x^3*z0^4 - 2*x^4*y*z0 + x^4*z0^2 + 2*x^2*y*z0^3 + 2*x^2*z0^4 + 2*x^5 - x^3*y*z0 - x^2*y*z0 + x^2*z0^2 + x^3 + 2*x^2)/y) * dx,
+ ((x^31*z0^4 - 2*x^30*z0^4 - x^28*y^2*z0^4 + x^31*z0^2 + x^29*z0^4 + 2*x^27*y^2*z0^4 - x^30*z0^2 - x^28*y^2*z0^2 - x^28*z0^4 - x^26*y^2*z0^4 + x^31 + x^27*y^2*z0^2 + 2*x^27*z0^4 - 2*x^30 - x^28*y^2 - x^28*z0^2 - x^26*z0^4 + 2*x^27*y^2 + x^27*z0^2 + x^25*z0^4 - x^28 - 2*x^24*z0^4 + x^27 + x^25*z0^2 + x^23*z0^4 + x^24*y^2 - x^24*z0^2 - x^22*z0^4 + x^25 + 2*x^21*z0^4 - x^24 - x^22*z0^2 - x^20*z0^4 + x^21*z0^2 + x^19*z0^4 - x^22 - 2*x^18*z0^4 + x^21 + x^19*z0^2 + x^17*z0^4 - x^18*z0^2 - x^16*z0^4 + x^19 + 2*x^15*z0^4 - x^18 - x^16*z0^2 - x^14*z0^4 + x^15*z0^2 + x^13*z0^4 - x^16 - 2*x^12*z0^4 + x^15 + x^13*z0^2 - 2*x^11*z0^4 - x^12*z0^2 + 2*x^10*y*z0^3 + x^10*z0^4 + x^13 - x^9*y*z0^3 + 2*x^9*z0^4 - x^12 + 2*x^10*y*z0 + x^10*z0^2 - 2*x^8*y*z0^3 + x^8*z0^4 + 2*x^11 - x^9*y*z0 + 2*x^9*z0^2 - 2*x^7*y*z0^3 - 2*x^7*z0^4 - 2*x^10 + 2*x^8*y*z0 + x^8*z0^2 + x^6*y*z0^3 + x^9 - x^7*y*z0 - x^7*z0^2 + x^5*y*z0^3 + 2*x^5*z0^4 + 2*x^8 - x^6*y*z0 - 2*x^6*z0^2 + x^4*y*z0^3 + 2*x^4*z0^4 + 2*x^5*z0^2 + 2*x^3*y*z0^3 - 2*x^4*y*z0 - x^4*z0^2 - 2*x^2*y*z0^3 - x^2*z0^4 - 2*x^5 - x^3*y*z0 + x^3*z0^2 - 2*x^2*y*z0 - 2*x^2*z0^2 + 2*x^2)/y) * dx,
+ ((-x^31*z0^3 - 2*x^30*z0^3 + x^28*y^2*z0^3 + 2*x^31*z0 + 2*x^27*y^2*z0^3 + x^30*z0 - 2*x^28*y^2*z0 + x^28*z0^3 - x^29*z0 - x^27*y^2*z0 + 2*x^27*z0^3 + 2*x^28*z0 + x^26*y^2*z0 - 2*x^27*z0 + x^25*y^2*z0 - x^25*z0^3 + x^26*z0 + x^24*y^2*z0 - 2*x^24*z0^3 - 2*x^25*z0 + 2*x^24*z0 + x^22*z0^3 - x^23*z0 + 2*x^21*z0^3 + 2*x^22*z0 - 2*x^21*z0 - x^19*z0^3 + x^20*z0 - 2*x^18*z0^3 - 2*x^19*z0 + 2*x^18*z0 + x^16*z0^3 - x^17*z0 + 2*x^15*z0^3 + 2*x^16*z0 - 2*x^15*z0 - x^13*z0^3 + x^14*z0 - 2*x^12*z0^3 - 2*x^13*z0 + x^9*y*z0^4 + 2*x^12*z0 - 2*x^10*y*z0^2 + x^10*z0^3 - 2*x^8*y*z0^4 - x^11*z0 - 2*x^9*y*z0^2 - x^9*z0^3 + x^7*y*z0^4 - x^10*y - 2*x^10*z0 - 2*x^8*y*z0^2 + x^6*y*z0^4 - x^9*y - 2*x^9*z0 + 2*x^7*y*z0^2 + x^7*z0^3 + x^5*y*z0^4 + x^8*y - 2*x^8*z0 + 2*x^6*y*z0^2 + x^6*z0^3 - x^4*y*z0^4 + x^7*z0 - x^5*y*z0^2 + 2*x^5*z0^3 - 2*x^6*y + x^6*z0 + x^4*y*z0^2 + 2*x^4*z0^3 - 2*x^2*y*z0^4 - x^5*y + x^5*z0 + x^3*y*z0^2 + 2*x^3*z0^3 - 2*x^2*y*z0^2 - x^2*z0^3 + x^3*z0 - x^2*y - x^2*z0)/y) * dx,
+ ((-x^30*z0^4 + x^31*z0^2 + 2*x^29*z0^4 + x^27*y^2*z0^4 + 2*x^30*z0^2 - x^28*y^2*z0^2 - 2*x^26*y^2*z0^4 - x^31 - 2*x^27*y^2*z0^2 + x^27*z0^4 + x^28*y^2 - x^28*z0^2 - 2*x^26*z0^4 + 2*x^27*z0^2 + x^28 + x^24*y^2*z0^2 - x^24*z0^4 + x^25*z0^2 + 2*x^23*z0^4 - 2*x^24*z0^2 - x^25 + x^21*z0^4 - x^22*z0^2 - 2*x^20*z0^4 + 2*x^21*z0^2 + x^22 - x^18*z0^4 + x^19*z0^2 + 2*x^17*z0^4 - 2*x^18*z0^2 - x^19 + x^15*z0^4 - x^16*z0^2 - 2*x^14*z0^4 + 2*x^15*z0^2 + x^16 - x^12*z0^4 + x^13*z0^2 - 2*x^12*z0^2 + 2*x^10*z0^4 - x^13 - x^9*y*z0^3 + 2*x^10*y*z0 - x^8*y*z0^3 - x^8*z0^4 + 2*x^11 + x^9*y*z0 - 2*x^9*z0^2 + 2*x^7*y*z0^3 + 2*x^7*z0^4 + x^10 - x^8*y*z0 + 2*x^6*z0^4 - 2*x^9 - 2*x^7*y*z0 + x^7*z0^2 - x^5*y*z0^3 - x^8 - 2*x^6*y*z0 - x^6*z0^2 - x^4*y*z0^3 + 2*x^4*z0^4 + 2*x^7 + 2*x^5*z0^2 - x^3*z0^4 - 2*x^6 - x^4*y*z0 - x^4*z0^2 - 2*x^2*z0^4 + 2*x^5 + 2*x^3*y*z0 + x^3*z0^2 + 2*x^2*y*z0 + x^2*z0^2 + x^3)/y) * dx,
+ ((-2*x^31*z0^4 + 2*x^30*z0^4 + 2*x^28*y^2*z0^4 - x^31*z0^2 + x^29*z0^4 - 2*x^27*y^2*z0^4 + 2*x^30*z0^2 + x^28*y^2*z0^2 + 2*x^28*z0^4 - x^26*y^2*z0^4 + x^31 - 2*x^27*y^2*z0^2 + 2*x^27*z0^4 - x^28*y^2 + x^28*z0^2 - x^26*z0^4 + x^24*y^2*z0^4 - 2*x^27*z0^2 - 2*x^25*z0^4 - x^28 - 2*x^24*z0^4 - x^25*z0^2 + x^23*z0^4 + 2*x^24*z0^2 + 2*x^22*z0^4 + x^25 + 2*x^21*z0^4 + x^22*z0^2 - x^20*z0^4 - 2*x^21*z0^2 - 2*x^19*z0^4 - x^22 - 2*x^18*z0^4 - x^19*z0^2 + x^17*z0^4 + 2*x^18*z0^2 + 2*x^16*z0^4 + x^19 + 2*x^15*z0^4 + x^16*z0^2 - x^14*z0^4 - 2*x^15*z0^2 - 2*x^13*z0^4 - x^16 - 2*x^12*z0^4 - x^13*z0^2 - 2*x^11*z0^4 + 2*x^12*z0^2 + x^10*y*z0^3 + x^10*z0^4 + x^13 + x^9*y*z0^3 - x^9*z0^4 - 2*x^10*y*z0 - x^10*z0^2 + 2*x^8*y*z0^3 - x^9*y*z0 + x^9*z0^2 - x^7*y*z0^3 + 2*x^7*z0^4 + 2*x^8*z0^2 + 2*x^6*y*z0^3 - 2*x^6*z0^4 - 2*x^9 - x^7*y*z0 + x^7*z0^2 - 2*x^5*y*z0^3 - x^5*z0^4 - x^8 - 2*x^6*z0^2 - 2*x^4*y*z0^3 - 2*x^4*z0^4 - 2*x^7 - 2*x^5*y*z0 - x^3*y*z0^3 + x^3*z0^4 - 2*x^6 + 2*x^4*y*z0 - 2*x^2*y*z0^3 - x^2*z0^4 + 2*x^5 - 2*x^3*z0^2 + 2*x^2*z0^2 + 2*x^3 + 2*x^2)/y) * dx,
+ ((x^31*z0^4 - x^28*y^2*z0^4 + x^31*z0^2 - 2*x^29*z0^4 + x^30*z0^2 - x^28*y^2*z0^2 - x^28*z0^4 + 2*x^26*y^2*z0^4 + 2*x^31 - x^27*y^2*z0^2 - 2*x^30 - 2*x^28*y^2 - x^28*z0^2 + 2*x^26*z0^4 + 2*x^27*y^2 - x^27*z0^2 + x^25*z0^4 + 2*x^28 + 2*x^27 + x^25*y^2 + x^25*z0^2 - 2*x^23*z0^4 + x^24*z0^2 - x^22*z0^4 - 2*x^25 - 2*x^24 - x^22*z0^2 + 2*x^20*z0^4 - x^21*z0^2 + x^19*z0^4 + 2*x^22 + 2*x^21 + x^19*z0^2 - 2*x^17*z0^4 + x^18*z0^2 - x^16*z0^4 - 2*x^19 - 2*x^18 - x^16*z0^2 + 2*x^14*z0^4 - x^15*z0^2 + x^13*z0^4 + 2*x^16 + 2*x^15 + x^13*z0^2 + 2*x^11*z0^4 + x^12*z0^2 + 2*x^10*y*z0^3 - x^10*z0^4 - 2*x^13 - x^9*y*z0^3 - x^9*z0^4 - 2*x^12 + 2*x^10*y*z0 + 2*x^8*y*z0^3 - 2*x^8*z0^4 - 2*x^9*y*z0 - x^7*y*z0^3 - x^7*z0^4 + 2*x^10 + 2*x^8*y*z0 + 2*x^8*z0^2 + 2*x^6*y*z0^3 + 2*x^6*z0^4 - 2*x^9 - 2*x^7*z0^2 + x^5*y*z0^3 - 2*x^5*z0^4 + x^8 - x^6*y*z0 - x^6*z0^2 - x^4*y*z0^3 + x^4*z0^4 - x^5*y*z0 + 2*x^5*z0^2 - 2*x^3*y*z0^3 - 2*x^3*z0^4 + x^6 + 2*x^4*y*z0 - x^4*z0^2 + x^2*y*z0^3 - x^2*z0^4 - 2*x^3*y*z0 - x^3*z0^2 + x^2*y*z0 + 2*x^2*z0^2 - 2*x^3 - 2*x^2)/y) * dx,
+ ((2*x^31*z0^4 - x^30*z0^4 - 2*x^28*y^2*z0^4 + 2*x^31*z0^2 - x^29*z0^4 + x^27*y^2*z0^4 - 2*x^30*z0^2 - 2*x^28*y^2*z0^2 - 2*x^28*z0^4 + x^26*y^2*z0^4 + x^31 + 2*x^27*y^2*z0^2 + x^27*z0^4 + x^30 - x^28*y^2 + 2*x^28*z0^2 + x^26*z0^4 - x^27*y^2 + 2*x^27*z0^2 + x^25*y^2*z0^2 + 2*x^25*z0^4 - x^28 - x^24*z0^4 - x^27 - 2*x^25*z0^2 - x^23*z0^4 - 2*x^24*z0^2 - 2*x^22*z0^4 + x^25 + x^21*z0^4 + x^24 + 2*x^22*z0^2 + x^20*z0^4 + 2*x^21*z0^2 + 2*x^19*z0^4 - x^22 - x^18*z0^4 - x^21 - 2*x^19*z0^2 - x^17*z0^4 - 2*x^18*z0^2 - 2*x^16*z0^4 + x^19 + x^15*z0^4 + x^18 + 2*x^16*z0^2 + x^14*z0^4 + 2*x^15*z0^2 + 2*x^13*z0^4 - x^16 - x^12*z0^4 - x^15 - 2*x^13*z0^2 + x^11*z0^4 - 2*x^12*z0^2 - x^10*y*z0^3 - x^10*z0^4 + x^13 - 2*x^9*y*z0^3 - 2*x^9*z0^4 + x^12 - x^10*y*z0 - 2*x^8*y*z0^3 + x^11 - x^9*y*z0 + 2*x^7*y*z0^3 - 2*x^7*z0^4 + x^10 + 2*x^8*y*z0 - 2*x^8*z0^2 - 2*x^6*y*z0^3 + 2*x^6*z0^4 + 2*x^9 + 2*x^7*y*z0 - x^5*y*z0^3 - 2*x^4*y*z0^3 - x^7 + x^5*y*z0 - 2*x^5*z0^2 - 2*x^3*y*z0^3 - 2*x^4*y*z0 + 2*x^2*y*z0^3 - 2*x^2*z0^4 - 2*x^5 - x^3*z0^2 - 2*x^2*y*z0 - x^2)/y) * dx,
+ ((x^31*z0^3 - x^30*z0^3 - x^28*y^2*z0^3 - 2*x^31*z0 - 2*x^29*z0^3 + x^27*y^2*z0^3 - x^30*z0 + 2*x^28*y^2*z0 - 2*x^28*z0^3 + 2*x^26*y^2*z0^3 + 2*x^29*z0 + x^27*y^2*z0 + x^27*z0^3 + x^25*y^2*z0^3 + 2*x^28*z0 - 2*x^26*y^2*z0 + 2*x^26*z0^3 + x^27*z0 + 2*x^25*z0^3 - 2*x^26*z0 - x^24*z0^3 - 2*x^25*z0 - 2*x^23*z0^3 - x^24*z0 - 2*x^22*z0^3 + 2*x^23*z0 + x^21*z0^3 + 2*x^22*z0 + 2*x^20*z0^3 + x^21*z0 + 2*x^19*z0^3 - 2*x^20*z0 - x^18*z0^3 - 2*x^19*z0 - 2*x^17*z0^3 - x^18*z0 - 2*x^16*z0^3 + 2*x^17*z0 + x^15*z0^3 + 2*x^16*z0 + 2*x^14*z0^3 + x^15*z0 + 2*x^13*z0^3 - 2*x^14*z0 - x^12*z0^3 - 2*x^13*z0 - 2*x^11*z0^3 - x^9*y*z0^4 - x^12*z0 + 2*x^10*y*z0^2 + x^10*z0^3 - x^8*y*z0^4 + 2*x^11*z0 + 2*x^9*y*z0^2 + x^9*z0^3 + x^10*y + x^10*z0 - x^8*z0^3 + x^9*y - 2*x^9*z0 - 2*x^7*y*z0^2 + 2*x^7*z0^3 - 2*x^5*y*z0^4 + 2*x^8*z0 - x^6*y*z0^2 + x^6*z0^3 - 2*x^4*y*z0^4 - x^5*y*z0^2 - x^5*z0^3 - x^3*y*z0^4 - 2*x^6*y - x^4*z0^3 + x^2*y*z0^4 + 2*x^5*y + x^5*z0 - 2*x^3*y*z0^2 + 2*x^3*z0^3 - x^4*y + x^4*z0 - x^2*y*z0^2 - 2*x^2*z0^3 + x^3*y - 2*x^3*z0 - x^2*y - 2*x^2*z0)/y) * dx,
+ ((2*x^31*z0^4 + x^30*z0^4 - 2*x^28*y^2*z0^4 - x^31*z0^2 - x^27*y^2*z0^4 + x^30*z0^2 + x^28*y^2*z0^2 + 2*x^28*z0^4 + x^31 - x^27*y^2*z0^2 - x^27*z0^4 + x^25*y^2*z0^4 - 2*x^30 - x^28*y^2 + x^28*z0^2 + 2*x^27*y^2 - x^27*z0^2 - 2*x^25*z0^4 - x^28 + x^24*z0^4 + 2*x^27 - x^25*z0^2 + x^24*z0^2 + 2*x^22*z0^4 + x^25 - x^21*z0^4 - 2*x^24 + x^22*z0^2 - x^21*z0^2 - 2*x^19*z0^4 - x^22 + x^18*z0^4 + 2*x^21 - x^19*z0^2 + x^18*z0^2 + 2*x^16*z0^4 + x^19 - x^15*z0^4 - 2*x^18 + x^16*z0^2 - x^15*z0^2 - 2*x^13*z0^4 - x^16 + x^12*z0^4 + 2*x^15 - x^13*z0^2 + 2*x^11*z0^4 + x^12*z0^2 - x^10*y*z0^3 - 2*x^10*z0^4 + x^13 + x^9*y*z0^3 + x^9*z0^4 - 2*x^12 - 2*x^10*y*z0 - x^10*z0^2 + 2*x^8*y*z0^3 - x^8*z0^4 + x^11 - x^9*y*z0 - 2*x^9*z0^2 + 2*x^7*y*z0^3 - x^7*z0^4 + x^10 - 2*x^8*y*z0 - x^8*z0^2 - x^6*y*z0^3 - 2*x^6*z0^4 + 2*x^9 - 2*x^7*y*z0 - x^7*z0^2 + 2*x^5*y*z0^3 + x^5*z0^4 - 2*x^6*y*z0 - 2*x^6*z0^2 + x^4*y*z0^3 + 2*x^7 - 2*x^5*y*z0 + x^3*y*z0^3 - x^3*z0^4 + 2*x^6 + x^4*y*z0 - 2*x^4*z0^2 + 2*x^2*y*z0^3 + x^2*z0^4 + 2*x^5 + x^3*y*z0 + 2*x^3*z0^2 - 2*x^2*y*z0 + x^2*z0^2 + x^3 - x^2)/y) * dx,
+ ((-2*x^31*z0^4 + 2*x^30*z0^4 + 2*x^28*y^2*z0^4 + 2*x^31*z0^2 + x^29*z0^4 - 2*x^27*y^2*z0^4 - 2*x^30*z0^2 - 2*x^28*y^2*z0^2 + 2*x^28*z0^4 - x^26*y^2*z0^4 - x^31 + 2*x^27*y^2*z0^2 - 2*x^27*z0^4 + x^28*y^2 - 2*x^28*z0^2 - x^26*z0^4 - x^29 + 2*x^27*z0^2 - 2*x^25*z0^4 + x^28 + x^26*y^2 + 2*x^24*z0^4 + 2*x^25*z0^2 + x^23*z0^4 + x^26 - 2*x^24*z0^2 + 2*x^22*z0^4 - x^25 - 2*x^21*z0^4 - 2*x^22*z0^2 - x^20*z0^4 - x^23 + 2*x^21*z0^2 - 2*x^19*z0^4 + x^22 + 2*x^18*z0^4 + 2*x^19*z0^2 + x^17*z0^4 + x^20 - 2*x^18*z0^2 + 2*x^16*z0^4 - x^19 - 2*x^15*z0^4 - 2*x^16*z0^2 - x^14*z0^4 - x^17 + 2*x^15*z0^2 - 2*x^13*z0^4 + x^16 + 2*x^12*z0^4 + 2*x^13*z0^2 - x^11*z0^4 + x^14 - 2*x^12*z0^2 + x^10*y*z0^3 - x^10*z0^4 - x^13 - 2*x^9*y*z0^3 - x^10*y*z0 - 2*x^8*y*z0^3 + x^8*z0^4 - 2*x^11 + x^9*y*z0 + 2*x^9*z0^2 - x^7*y*z0^3 + x^7*z0^4 - x^10 - x^8*y*z0 + 2*x^8*z0^2 - 2*x^6*y*z0^3 + 2*x^6*z0^4 - 2*x^9 - 2*x^7*y*z0 - x^7*z0^2 - x^5*y*z0^3 - x^6*y*z0 - x^6*z0^2 - x^4*y*z0^3 + 2*x^4*z0^4 - 2*x^7 - 2*x^5*z0^2 + x^3*z0^4 + x^6 + x^4*y*z0 - x^4*z0^2 - x^2*y*z0^3 + 2*x^2*z0^4 - 2*x^5 - x^3*y*z0 + 2*x^3*z0^2 - x^2*y*z0 - x^2*z0^2 - x^3 - x^2)/y) * dx,
+ ((2*x^31*z0^4 - 2*x^28*y^2*z0^4 - x^31*z0^2 - x^29*z0^4 + x^30*z0^2 + x^28*y^2*z0^2 - 2*x^28*z0^4 + x^26*y^2*z0^4 - x^29*z0^2 - x^27*y^2*z0^2 - x^30 + x^28*z0^2 + x^26*y^2*z0^2 + x^26*z0^4 + x^27*y^2 - x^27*z0^2 + 2*x^25*z0^4 + x^26*z0^2 + x^27 - x^25*z0^2 - x^23*z0^4 + x^24*z0^2 - 2*x^22*z0^4 - x^23*z0^2 - x^24 + x^22*z0^2 + x^20*z0^4 - x^21*z0^2 + 2*x^19*z0^4 + x^20*z0^2 + x^21 - x^19*z0^2 - x^17*z0^4 + x^18*z0^2 - 2*x^16*z0^4 - x^17*z0^2 - x^18 + x^16*z0^2 + x^14*z0^4 - x^15*z0^2 + 2*x^13*z0^4 + x^14*z0^2 + x^15 - x^13*z0^2 - x^11*z0^4 + x^12*z0^2 - x^10*y*z0^3 - x^11*z0^2 + x^9*y*z0^3 + x^9*z0^4 - x^12 - 2*x^10*y*z0 - 2*x^10*z0^2 + x^8*y*z0^3 + x^8*z0^4 - 2*x^11 - 2*x^7*y*z0^3 + x^7*z0^4 + x^10 - 2*x^8*y*z0 - x^6*y*z0^3 + 2*x^6*z0^4 + x^9 + x^7*y*z0 + x^5*y*z0^3 + 2*x^5*z0^4 + x^8 + x^6*y*z0 + 2*x^6*z0^2 - x^4*y*z0^3 + 2*x^7 - x^5*y*z0 + x^5*z0^2 - 2*x^3*y*z0^3 - 2*x^3*z0^4 + 2*x^4*y*z0 + x^4*z0^2 + x^2*y*z0^3 - 2*x^2*z0^4 - 2*x^3*y*z0 + x^3*z0^2 + 2*x^2*y*z0 - 2*x^2*z0^2 + x^3 + x^2)/y) * dx]
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7llen(ggg)[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7llen[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: len(result)

+[?7h[?12l[?25h[?2004l[?7h140
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7llen(result)[?7h[?12l[?25h[?25l[?7lresult[?7h[?12l[?25h[?25l[?7lsage: for a in ggg:

+....:     b = a.expansion((-1, 0))

+....:     flag = 1

+....:     for r in result:

+....:         if r.expansion((-1, 0)) == b:

+....:             flag = 0

+....:     if flag == 1:

+....:         result += [a][?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lfo[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()

+ [?7h[?12l[?25h[?25l[?7l(()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lfo[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7las_cover.holomorphic_differentials_basis2 = holomorphic_differentials_basis2[?7h[?12l[?25h[?25l[?7l = de_ham_witt_lft(A[2])[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lquo_rem(x^10 + x^8 + x^6 - x^4, x^2 - 1)[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: quit()

+[?7h[?12l[?25h[?2004l]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ sage
+┌────────────────────────────────────────────────────────────────────┐
+│ SageMath version 9.7, Release Date: 2022-09-19                     │
+│ Using Python 3.10.5. Type "help()" for help.                       │
+└────────────────────────────────────────────────────────────────────┘
+]0;IPython: DeRhamComputation/sage[?2004h[?1l[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lsage: 

+ [?7h[?12l[?25h[?25l[?7llen(result)[?7h[?12l[?25h[?25l[?7load('ini.sage')[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l1 1
+4 + 2*t^2 + 4*t^4 + 3*t^10 + 4*t^12 + 3*t^14 + 2*t^20 + t^22 + 2*t^24 + t^30 + 3*t^32 + t^34 + t^50 + 3*t^52 + t^54 + 2*t^60 + t^62 + 2*t^64 + 3*t^70 + 4*t^72 + 3*t^74 + 4*t^80 + 2*t^82 + 4*t^84
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004lM, m 11 1
+5 5 0
+8 ? 0
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.branch_points[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7lsage: AS

+[?7h[?12l[?25h[?2004l[?7h(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 2 with the equations:
+z0^2 - z0 = x^11
+z1^2 - z1 = x
+
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l.branch_points[?7h[?12l[?25h[?25l[?7lbranch_points[?7h[?12l[?25h[?25l[?7lsage: AS.branch_points

+[?7h[?12l[?25h[?2004l[?7h[0]
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004lM, m 1 1
+0 0 0
+1 ? 0
+M, m 3 1
+1 1 0
+2 ? 0
+M, m 5 1
+2 2 0
+4 ? 0
+M, m 7 1
+3 3 0
+5 ? 0
+M, m 9 1
+4 4 0
+7 ? 0
+M, m 11 1
+5 5 0
+8 ? 0
+M, m 13 1
+6 6 0
+10 ? 0
+M, m 15 1
+7 7 0
+11 ? 0
+M, m 3 3
+2 0 1
+2 ? 1
+M, m 5 3
+3 1 1
+4 ? 1
+M, m 7 3
+4 2 1
+5 ? 1
+M, m 9 3
+^C---------------------------------------------------------------------------
+KeyboardInterrupt                         Traceback (most recent call last)
+Input In [5], in <cell line: 1>()
+----> 1 load('init.sage')
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:28, in <module>
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:20, in <module>
+
+File <string>:344, in cohomology_of_structure_sheaf_basis(self, threshold)
+
+File <string>:344, in <listcomp>(.0)
+
+File <string>:131, in serre_duality_pairing(self, fct)
+
+File /ext/sage/9.7/src/sage/misc/functional.py:585, in symbolic_sum(expression, *args, **kwds)
+    583     return expression.sum(*args, **kwds)
+    584 elif max(len(args),len(kwds)) <= 1:
+--> 585     return sum(expression, *args, **kwds)
+    586 else:
+    587     from sage.symbolic.ring import SR
+
+File <string>:131, in <genexpr>(.0)
+
+File <string>:124, in residue(self, place)
+
+File <string>:39, in expansion_at_infty(self, place)
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:943, in sage.structure.element.Element.substitute()
+    941         5
+    942      """
+--> 943     return self.subs(in_dict,**kwds)
+    944 
+    945 cpdef _act_on_(self, x, bint self_on_left):
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:834, in sage.structure.element.Element.subs()
+    832         else:
+    833             variables.append(gen)
+--> 834     return self(*variables)
+    835 
+    836 def numerical_approx(self, prec=None, digits=None, algorithm=None):
+
+File /ext/sage/9.7/src/sage/rings/fraction_field_element.pyx:449, in sage.rings.fraction_field_element.FractionFieldElement.__call__()
+    447         (-2*x1*x2 + x1 + 1)/(x1 + x2)
+    448     """
+--> 449     return self.__numerator(*x, **kwds) / self.__denominator(*x, **kwds)
+    450 
+    451 def _is_atomic(self):
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:1737, in sage.structure.element.Element.__truediv__()
+   1735 cdef int cl = classify_elements(left, right)
+   1736 if HAVE_SAME_PARENT(cl):
+-> 1737     return (<Element>left)._div_(right)
+   1738 if BOTH_ARE_ELEMENT(cl):
+   1739     return coercion_model.bin_op(left, right, truediv)
+
+File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:1083, in sage.rings.laurent_series_ring_element.LaurentSeries._div_()
+   1081 try:
+   1082     return type(self)(self._parent,
+-> 1083                       self.__u / right.__u,
+   1084                       self.__n - right.__n)
+   1085 except TypeError as msg:
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:1737, in sage.structure.element.Element.__truediv__()
+   1735 cdef int cl = classify_elements(left, right)
+   1736 if HAVE_SAME_PARENT(cl):
+-> 1737     return (<Element>left)._div_(right)
+   1738 if BOTH_ARE_ELEMENT(cl):
+   1739     return coercion_model.bin_op(left, right, truediv)
+
+File /ext/sage/9.7/src/sage/rings/power_series_ring_element.pyx:1091, in sage.rings.power_series_ring_element.PowerSeries._div_()
+   1089     raise ZeroDivisionError("Can't divide by something indistinguishable from 0")
+   1090 u = denom.valuation_zero_part()
+-> 1091 inv = ~u  # inverse
+   1092 
+   1093 v = denom.valuation()
+
+File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:721, in sage.rings.power_series_poly.PowerSeries_poly.__invert__()
+    719         return R(u, -self.valuation())
+    720 
+--> 721     return self._parent(self.truncate().inverse_series_trunc(prec), prec=prec)
+    722 
+    723 def truncate(self, prec=infinity):
+
+File /ext/sage/9.7/src/sage/structure/parent.pyx:899, in sage.structure.parent.Parent.__call__()
+    897         return mor._call_(x)
+    898     else:
+--> 899         return mor._call_with_args(x, args, kwds)
+    900 
+    901 raise TypeError(_LazyString("No conversion defined from %s to %s", (R, self), {}))
+
+File /ext/sage/9.7/src/sage/structure/coerce_maps.pyx:170, in sage.structure.coerce_maps.DefaultConvertMap_unique._call_with_args()
+    168         return C._element_constructor(x)
+    169     else:
+--> 170         return C._element_constructor(x, **kwds)
+    171 else:
+    172     if len(kwds) == 0:
+
+File /ext/sage/9.7/src/sage/rings/power_series_ring.py:700, in PowerSeriesRing_generic._element_constructor_(self, f, prec, check)
+    696     if (is_PolynomialRing(S) or is_PowerSeriesRing(S)) and self.base_ring().has_coerce_map_from(S.base_ring()) \
+    697        and self.variable_names()==S.variable_names():
+    698         return True
+--> 700 def _element_constructor_(self, f, prec=infinity, check=True):
+    701     """
+    702     Coerce object to this power series ring.
+    703 
+   (...)
+    793 
+    794     """
+    795     if prec is not infinity:
+
+File src/cysignals/signals.pyx:310, in cysignals.signals.python_check_interrupt()
+
+KeyboardInterrupt: 
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004lM, m 1 1 z0 z1 0 z0 0 z1 0
+M, m 3 1 z0 z1 1 z0 1 z1 0
+M, m 5 1 z0 z1 2 z0 2 z1 0
+M, m 7 1 z0 z1 3 z0 3 z1 0
+M, m 9 1 z0 z1 4 z0 4 z1 0
+M, m 11 1 z0 z1 5 z0 5 z1 0
+M, m 13 1 z0 z1 6 z0 6 z1 0
+M, m 15 1 z0 z1 7 z0 7 z1 0
+M, m 3 3 z0 z1 2 z0 0 z1 1
+M, m 5 3 z0 z1 3 z0 1 z1 1
+M, m 7 3 z0 z1 4 z0 2 z1 1
+M, m 9 3 z0 z1 5 z0 3 z1 1
+M, m 11 3 z0 z1 6 z0 4 z1 1
+M, m 13 3 z0 z1 7 z0 5 z1 1
+M, m 15 3 z0 z1 8 z0 6 z1 1
+^C---------------------------------------------------------------------------
+KeyboardInterrupt                         Traceback (most recent call last)
+Input In [6], in <cell line: 1>()
+----> 1 load('init.sage')
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:28, in <module>
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:19, in <module>
+
+File <string>:344, in cohomology_of_structure_sheaf_basis(self, threshold)
+
+File <string>:344, in <listcomp>(.0)
+
+File <string>:131, in serre_duality_pairing(self, fct)
+
+File /ext/sage/9.7/src/sage/misc/functional.py:585, in symbolic_sum(expression, *args, **kwds)
+    583     return expression.sum(*args, **kwds)
+    584 elif max(len(args),len(kwds)) <= 1:
+--> 585     return sum(expression, *args, **kwds)
+    586 else:
+    587     from sage.symbolic.ring import SR
+
+File <string>:131, in <genexpr>(.0)
+
+File <string>:124, in residue(self, place)
+
+File <string>:39, in expansion_at_infty(self, place)
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:943, in sage.structure.element.Element.substitute()
+    941         5
+    942      """
+--> 943     return self.subs(in_dict,**kwds)
+    944 
+    945 cpdef _act_on_(self, x, bint self_on_left):
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:834, in sage.structure.element.Element.subs()
+    832         else:
+    833             variables.append(gen)
+--> 834     return self(*variables)
+    835 
+    836 def numerical_approx(self, prec=None, digits=None, algorithm=None):
+
+File /ext/sage/9.7/src/sage/rings/fraction_field_element.pyx:449, in sage.rings.fraction_field_element.FractionFieldElement.__call__()
+    447         (-2*x1*x2 + x1 + 1)/(x1 + x2)
+    448     """
+--> 449     return self.__numerator(*x, **kwds) / self.__denominator(*x, **kwds)
+    450 
+    451 def _is_atomic(self):
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:1739, in sage.structure.element.Element.__truediv__()
+   1737     return (<Element>left)._div_(right)
+   1738 if BOTH_ARE_ELEMENT(cl):
+-> 1739     return coercion_model.bin_op(left, right, truediv)
+   1740 
+   1741 try:
+
+File /ext/sage/9.7/src/sage/structure/coerce.pyx:1196, in sage.structure.coerce.CoercionModel.bin_op()
+   1194         return (<Action>action)._act_(x, y)
+   1195     else:
+-> 1196         return (<Action>action)._act_(y, x)
+   1197 
+   1198 # Now coerce to a common parent and do the operation there
+
+File /ext/sage/9.7/src/sage/categories/action.pyx:407, in sage.categories.action.InverseAction._act_()
+    405     if self.S_precomposition is not None:
+    406         x = self.S_precomposition(x)
+--> 407     return self._action._act_(~g, x)
+    408 
+    409 def codomain(self):
+
+File /ext/sage/9.7/src/sage/structure/coerce_actions.pyx:645, in sage.structure.coerce_actions.RightModuleAction._act_()
+    643 if self.extended_base is not None:
+    644     a = <ModuleElement?>self.extended_base(a)
+--> 645 return (<ModuleElement>a)._lmul_(<Element>g)  # a * g
+    646 
+    647 
+
+File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:920, in sage.rings.laurent_series_ring_element.LaurentSeries._lmul_()
+    918 
+    919     cpdef _lmul_(self, Element c):
+--> 920         return type(self)(self._parent, self.__u._lmul_(c), self.__n)
+    921 
+    922     def __pow__(_self, r, dummy):
+
+File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:569, in sage.rings.power_series_poly.PowerSeries_poly._lmul_()
+    567         2 + 6*t^4 + O(t^120)
+    568     """
+--> 569     return PowerSeries_poly(self._parent, c * self.__f, self._prec, check=False)
+    570 
+    571 def __lshift__(PowerSeries_poly self, n):
+
+File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:44, in sage.rings.power_series_poly.PowerSeries_poly.__init__()
+     42     ValueError: series has negative valuation
+     43 """
+---> 44 R = parent._poly_ring()
+     45 if isinstance(f, Element):
+     46     if (<Element>f)._parent is R:
+
+File /ext/sage/9.7/src/sage/rings/power_series_ring.py:961, in PowerSeriesRing_generic._poly_ring(self)
+    958         pass
+    959     return False
+--> 961 def _poly_ring(self):
+    962     """
+    963     Return the underlying polynomial ring used to represent elements of
+    964     this power series ring.
+   (...)
+    970         Univariate Polynomial Ring in t over Integer Ring
+    971     """
+    972     return self.__poly_ring
+
+File src/cysignals/signals.pyx:310, in cysignals.signals.python_check_interrupt()
+
+KeyboardInterrupt: 
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004lM, m 1 1 z0 z1; z0; z1: 0 0 0
+M, m 3 1 z0 z1; z0; z1: 1 1 0
+M, m 5 1 z0 z1; z0; z1: 2 2 0
+M, m 7 1 z0 z1; z0; z1: 3 3 0
+M, m 9 1 z0 z1; z0; z1: 4 4 0
+M, m 11 1 z0 z1; z0; z1: 5 5 0
+M, m 13 1 z0 z1; z0; z1: 6 6 0
+M, m 15 1 z0 z1; z0; z1: 7 7 0
+M, m 3 3 z0 z1; z0; z1: 2 0 1
+M, m 5 3 z0 z1; z0; z1: 3 1 1
+M, m 7 3 z0 z1; z0; z1: 4 2 1
+M, m 9 3 z0 z1; z0; z1: 5 3 1
+M, m 11 3 z0 z1; z0; z1: 6 4 1
+M, m 13 3 z0 z1; z0; z1: 7 5 1
+M, m 15 3 z0 z1; z0; z1: 8 6 1
+M, m 5 5 z0 z1; z0; z1: 3 1 2
+M, m 7 5 z0 z1; z0; z1: 4 2 2
+M, m 9 5 z0 z1; z0; z1: 5 3 2
+M, m 11 5 z0 z1; z0; z1: 6 4 2
+M, m 13 5 z0 z1; z0; z1: 7 5 2
+M, m 15 5 z0 z1; z0; z1: 8 6 2
+M, m 7 7 z0 z1; z0; z1: 5 1 3
+M, m 9 7 z0 z1; z0; z1: 6 2 3
+M, m 11 7 z0 z1; z0; z1: 7 3 3
+M, m 13 7 z0 z1; z0; z1: 8 4 3
+M, m 15 7 z0 z1; z0; z1: 9 5 3
+M, m 9 9 z0 z1; z0; z1: 6 2 4
+M, m 11 9 z0 z1; z0; z1: 7 3 4
+M, m 13 9 z0 z1; z0; z1: 8 4 4
+M, m 15 9 z0 z1; z0; z1: 9 5 4
+M, m 11 11 z0 z1; z0; z1: 8 2 5
+M, m 13 11 z0 z1; z0; z1: 9 3 5
+M, m 15 11 z0 z1; z0; z1: 10 4 5
+M, m 13 13 z0 z1; z0; z1: 9 3 6
+M, m 15 13 z0 z1; z0; z1: 10 4 6
+I haven't found all forms, only  20  of  21
+---------------------------------------------------------------------------
+NameError                                 Traceback (most recent call last)
+Input In [7], in <cell line: 1>()
+----> 1 load('init.sage')
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:28, in <module>
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:19, in <module>
+
+File <string>:318, in cohomology_of_structure_sheaf_basis(self, threshold)
+
+File <string>:147, in holomorphic_differentials_basis(self, threshold)
+
+NameError: name 'holomorphic_differentials_basis' is not defined
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004lM, m 1 1 z0 z1; z0; z1: 0 0 0
+M, m 3 1 z0 z1; z0; z1: 1 1 0
+M, m 5 1 z0 z1; z0; z1: 2 2 0
+M, m 7 1 z0 z1; z0; z1: 3 3 0
+M, m 9 1 z0 z1; z0; z1: 4 4 0
+M, m 11 1 z0 z1; z0; z1: 5 5 0
+M, m 13 1 z0 z1; z0; z1: 6 6 0
+M, m 15 1 z0 z1; z0; z1: 7 7 0
+M, m 3 3 z0 z1; z0; z1: 2 0 1
+M, m 5 3 z0 z1; z0; z1: 3 1 1
+M, m 7 3 z0 z1; z0; z1: 4 2 1
+M, m 9 3 z0 z1; z0; z1: 5 3 1
+M, m 11 3 z0 z1; z0; z1: 6 4 1
+M, m 13 3 z0 z1; z0; z1: 7 5 1
+M, m 15 3 z0 z1; z0; z1: 8 6 1
+M, m 5 5 z0 z1; z0; z1: 3 1 2
+M, m 7 5 z0 z1; z0; z1: 4 2 2
+M, m 9 5 z0 z1; z0; z1: 5 3 2
+M, m 11 5 z0 z1; z0; z1: 6 4 2
+M, m 13 5 z0 z1; z0; z1: 7 5 2
+M, m 15 5 z0 z1; z0; z1: 8 6 2
+M, m 7 7 z0 z1; z0; z1: 5 1 3
+M, m 9 7 z0 z1; z0; z1: 6 2 3
+M, m 11 7 z0 z1; z0; z1: 7 3 3
+M, m 13 7 z0 z1; z0; z1: 8 4 3
+M, m 15 7 z0 z1; z0; z1: 9 5 3
+M, m 9 9 z0 z1; z0; z1: 6 2 4
+M, m 11 9 z0 z1; z0; z1: 7 3 4
+M, m 13 9 z0 z1; z0; z1: 8 4 4
+M, m 15 9 z0 z1; z0; z1: 9 5 4
+M, m 11 11 z0 z1; z0; z1: 8 2 5
+M, m 13 11 z0 z1; z0; z1: 9 3 5
+M, m 15 11 z0 z1; z0; z1: 10 4 5
+M, m 13 13 z0 z1; z0; z1: 9 3 6
+M, m 15 13 z0 z1; z0; z1: 10 4 6
+M, m 15 15 z0 z1; z0; z1: 11 3 7
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004lM, m 1 1 z0 z1; z0; z1: 0 0 0
+M, m 3 1 z0 z1; z0; z1: 1 1 0
+M, m 5 1 z0 z1; z0; z1: 2 2 0
+M, m 7 1 z0 z1; z0; z1: 3 3 0
+M, m 9 1 z0 z1; z0; z1: 4 4 0
+M, m 11 1 z0 z1; z0; z1: 5 5 0
+M, m 13 1 z0 z1; z0; z1: 6 6 0
+M, m 15 1 z0 z1; z0; z1: 7 7 0
+M, m 3 3 z0 z1; z0; z1: 2 0 1
+M, m 5 3 z0 z1; z0; z1: 3 1 1
+M, m 7 3 z0 z1; z0; z1: 4 2 1
+M, m 9 3 z0 z1; z0; z1: 5 3 1
+M, m 11 3 z0 z1; z0; z1: 6 4 1
+M, m 13 3 z0 z1; z0; z1: 7 5 1
+M, m 15 3 z0 z1; z0; z1: 8 6 1
+M, m 5 5 z0 z1; z0; z1: 3 1 2
+M, m 7 5 z0 z1; z0; z1: 4 2 2
+M, m 9 5 z0 z1; z0; z1: 5 3 2
+M, m 11 5 z0 z1; z0; z1: 6 4 2
+M, m 13 5 z0 z1; z0; z1: 7 5 2
+M, m 15 5 z0 z1; z0; z1: 8 6 2
+M, m 7 7 z0 z1; z0; z1: 5 1 3
+M, m 9 7 z0 z1; z0; z1: 6 2 3
+M, m 11 7 z0 z1; z0; z1: 7 3 3
+M, m 13 7 z0 z1; z0; z1: 8 4 3
+M, m 15 7 z0 z1; z0; z1: 9 5 3
+M, m 9 9 z0 z1; z0; z1: 6 2 4
+M, m 11 9 z0 z1; z0; z1: 7 3 4
+M, m 13 9 z0 z1; z0; z1: 8 4 4
+M, m 15 9 z0 z1; z0; z1: 9 5 4
+M, m 11 11 z0 z1; z0; z1: 8 2 5
+M, m 13 11 z0 z1; z0; z1: 9 3 5
+M, m 15 11 z0 z1; z0; z1: 10 4 5
+M, m 13 13 z0 z1; z0; z1: 9 3 6
+M, m 15 13 z0 z1; z0; z1: 10 4 6
+M, m 15 15 z0 z1; z0; z1: 11 3 7
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lfor a in ggg:[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lde_rham_witt_lift(C1.de_rham_basis()[0])[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lf chang(a):[?7h[?12l[?25h[?25l[?7ldef [?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lM[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l():[?7h[?12l[?25h[?25l[?7lsage: def aaa(M):

+....: [?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7lreturn[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lM[?7h[?12l[?25h[?25l[?7l/[?7h[?12l[?25h[?25l[?7l2[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l+[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lM[?7h[?12l[?25h[?25l[?7l/[?7h[?12l[?25h[?25l[?7l4[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l....:     return floor(M/2) + ceil(M/4)

+....: [?7h[?12l[?25h[?25l[?7lsage: def aaa(M):

+....:     return floor(M/2) + ceil(M/4)

+....: 

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ldef aaa(M):[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7ldef [?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lM[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l():[?7h[?12l[?25h[?25l[?7lsage: def bbb(M):

+....: [?7h[?12l[?25h[?25l[?7lreturn floor(M/2) + ceil(M/4)[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7lreturn[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l3[?7h[?12l[?25h[?25l[?7l*[?7h[?12l[?25h[?25l[?7lM[?7h[?12l[?25h[?25l[?7l/[?7h[?12l[?25h[?25l[?7l4[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l....:     return ceil(3*M/4)

+....: [?7h[?12l[?25h[?25l[?7lsage: def bbb(M):

+....:     return ceil(3*M/4)

+....: 

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lfor a in ggg:[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lfor[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7lM[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lin[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lg[?7h[?12l[?25h[?25l[?7lrange[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l2[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l():[?7h[?12l[?25h[?25l[?7lsage: for M in range(20):

+....: [?7h[?12l[?25h[?25l[?7lif flag == 1:[?7h[?12l[?25h[?25l[?7lif[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7lM[?7h[?12l[?25h[?25l[?7l%[?7h[?12l[?25h[?25l[?7l2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l:[?7h[?12l[?25h[?25l[?7l....:     if M%2 == 1:

+....: [?7h[?12l[?25h[?25l[?7laaa(M)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lpa(M)[?7h[?12l[?25h[?25l[?7lra(M)[?7h[?12l[?25h[?25l[?7lia(M)[?7h[?12l[?25h[?25l[?7lna(M)[?7h[?12l[?25h[?25l[?7lta(M)[?7h[?12l[?25h[?25l[?7lprint(a(M)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(),[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lM[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l....:         print(aaa(M), bbb(M))

+....: [?7h[?12l[?25h[?25l[?7lsage: for M in range(20):

+....:     if M%2 == 1:

+....:         print(aaa(M), bbb(M))

+....: 

+[?7h[?12l[?25h[?2004l1 1
+2 3
+4 4
+5 6
+7 7
+8 9
+10 10
+11 12
+13 13
+14 15
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: for M in range(20):

+....:     if M%2 == 1:

+....:         print(aaa(M), bbb(M))[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l0):[?7h[?12l[?25h[?25l[?7l40):[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l

+[?7h[?12l[?25h[?25l[?7l

+()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l....:         print(aaa(M), bbb(M))

+....: [?7h[?12l[?25h[?25l[?7lsage: for M in range(40):

+....:     if M%2 == 1:

+....:         print(aaa(M), bbb(M))

+....: 

+[?7h[?12l[?25h[?2004l1 1
+2 3
+4 4
+5 6
+7 7
+8 9
+10 10
+11 12
+13 13
+14 15
+16 16
+17 18
+19 19
+20 21
+22 22
+23 24
+25 25
+26 27
+28 28
+29 30
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: for M in range(40):

+....:     if M%2 == 1:

+....:         print(aaa(M), bbb(M))[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l2

+

+()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ldefbbb(M):

+returnceil(3*M/4)

+ [?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(3*M/4)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()/4)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l-)/4)[?7h[?12l[?25h[?25l[?7l3)/4)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l((3*M-3)/4)[?7h[?12l[?25h[?25l[?7l((3*M-3)/4)[?7h[?12l[?25h[?25l[?7l((3*M-3)/4)[?7h[?12l[?25h[?25l[?7l((3*M-3)/4)[?7h[?12l[?25h[?25l[?7l((3*M-3)/4)[?7h[?12l[?25h[?25l[?7lretur((3*M-3)/4)[?7h[?12l[?25h[?25l[?7l((3*M-3)/4)[?7h[?12l[?25h[?25l[?7l((3*M-3)/4)[?7h[?12l[?25h[?25l[?7l((3*M-3)/4)[?7h[?12l[?25h[?25l[?7l((3*M-3)/4)[?7h[?12l[?25h[?25l[?7l((3*M-3)/4)[?7h[?12l[?25h[?25l[?7l((3*M-3)/4)[?7h[?12l[?25h[?25l[?7l((3*M-3)/4)[?7h[?12l[?25h[?25l[?7l((3*M-3)/4)[?7h[?12l[?25h[?25l[?7l((3*M-3)/4)[?7h[?12l[?25h[?25l[?7l((3*M-3)/4)

+ [?7h[?12l[?25h[?25l[?7l((3*M-3)/4)[?7h[?12l[?25h[?25l[?7l((3*M-3)/4)[?7h[?12l[?25h[?25l[?7l((3*M-3)/4)[?7h[?12l[?25h[?25l[?7l((3*M-3)/4)[?7h[?12l[?25h[?25l[?7l((3*M-3)/4)[?7h[?12l[?25h[?25l[?7l((3*M-3)/4)[?7h[?12l[?25h[?25l[?7l((3*M-3)/4)[?7h[?12l[?25h[?25l[?7ldef((3*M-3)/4)[?7h[?12l[?25h[?25l[?7l((3*M-3)/4)[?7h[?12l[?25h[?25l[?7l((3*M-3)/4)[?7h[?12l[?25h[?25l[?7l((3*M-3)/4)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ldef aaa(M):

+....:     return floor(M/2) + ceil(M/4)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lload('init.sage')

+ [?7h[?12l[?25h[?25l[?7lAS.branch_points[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7llen(result)[?7h[?12l[?25h[?25l[?7lresult[?7h[?12l[?25h[?25l[?7llen(result)[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lAS[?7h[?12l[?25h[?25l[?7l.branch_points[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7ldef aaa(M):

+....:     return floor(M/2) + ceil(M/4)[?7h[?12l[?25h[?25l[?7l

+[?7h[?12l[?25h[?25l[?7l

+ [?7h[?12l[?25h[?25l[?7lfor M in range(20):

+....:     if M%2 == 1:

+....:         print(aaa(M), bbb(M))[?7h[?12l[?25h[?25l[?7l

+[?7h[?12l[?25h[?25l[?7l

+()[?7h[?12l[?25h[?25l[?7l4

+

+()[?7h[?12l[?25h[?25l[?7l

+[?7h[?12l[?25h[?25l[?7l

+()[?7h[?12l[?25h[?25l[?7l

+ 

+ [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: 

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lsage: 

+ [?7h[?12l[?25h[?25l[?7lfor M in range(40):

+....:     if M%2 == 1:

+....:         print(aaa(M), bbb(M))[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l2

+

+()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ldefbbb(M):

+returnceil(3*M/4)

+ [?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(M/4)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l-/4)[?7h[?12l[?25h[?25l[?7l2/4)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lM-2/4)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(3*M-2/4)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()/4)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()

+....: [?7h[?12l[?25h[?25l[?7lsage: def bbb(M):

+....:     return ceil((3*M-2)/4)

+....: 

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: def bbb(M):

+....:     return ceil((3*M-2)/4)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lforM in range(40):

+....:     if M%2 == 1:

+....:         print(aaa(M), bbb(M))[?7h[?12l[?25h[?25l[?7l....:         print(aaa(M), bbb(M))

+....: [?7h[?12l[?25h[?25l[?7lsage: for M in range(40):

+....:     if M%2 == 1:

+....:         print(aaa(M), bbb(M))

+....: 

+[?7h[?12l[?25h[?2004l1 1
+2 2
+4 4
+5 5
+7 7
+8 8
+10 10
+11 11
+13 13
+14 14
+16 16
+17 17
+19 19
+20 20
+22 22
+23 23
+25 25
+26 26
+28 28
+29 29
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: for M in range(40):

+....:     if M%2 == 1:

+....:         print(aaa(M), bbb(M))[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l() b(M)[?7h[?12l[?25h[?25l[?7l()= b(M)[?7h[?12l[?25h[?25l[?7l= b(M)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lb(M)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l....:         print(aaa(M)==bbb(M))

+....: [?7h[?12l[?25h[?25l[?7lsage: for M in range(40):

+....:     if M%2 == 1:

+....:         print(aaa(M)==bbb(M))

+....: 

+[?7h[?12l[?25h[?2004lTrue
+True
+True
+True
+True
+True
+True
+True
+True
+True
+True
+True
+True
+True
+True
+True
+True
+True
+True
+True
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004lM, m 1 1 z0 z1; z0; z1: 0 0 0
+M, m 3 1 z0 z1; z0; z1: 1 1 0
+M, m 3 3 z0 z1; z0; z1: 2 0 1
+M, m 5 1 z0 z1; z0; z1: 2 2 0
+M, m 5 3 z0 z1; z0; z1: 3 1 1
+M, m 5 5 z0 z1; z0; z1: 3 1 2
+M, m 7 1 z0 z1; z0; z1: 3 3 0
+M, m 7 3 z0 z1; z0; z1: 4 2 1
+M, m 7 5 z0 z1; z0; z1: 4 2 2
+M, m 7 7 z0 z1; z0; z1: 5 1 3
+M, m 9 1 z0 z1; z0; z1: 4 4 0
+M, m 9 3 z0 z1; z0; z1: 5 3 1
+M, m 9 5 z0 z1; z0; z1: 5 3 2
+M, m 9 7 z0 z1; z0; z1: 6 2 3
+M, m 9 9 z0 z1; z0; z1: 6 2 4
+M, m 11 1 z0 z1; z0; z1: 5 5 0
+M, m 11 3 z0 z1; z0; z1: 6 4 1
+M, m 11 5 z0 z1; z0; z1: 6 4 2
+M, m 11 7 z0 z1; z0; z1: 7 3 3
+M, m 11 9 z0 z1; z0; z1: 7 3 4
+M, m 11 11 z0 z1; z0; z1: 8 2 5
+M, m 13 1 z0 z1; z0; z1: 6 6 0
+M, m 13 3 z0 z1; z0; z1: 7 5 1
+M, m 13 5 z0 z1; z0; z1: 7 5 2
+M, m 13 7 z0 z1; z0; z1: 8 4 3
+M, m 13 9 z0 z1; z0; z1: 8 4 4
+M, m 13 11 z0 z1; z0; z1: 9 3 5
+M, m 13 13 z0 z1; z0; z1: 9 3 6
+M, m 15 1 z0 z1; z0; z1: 7 7 0
+M, m 15 3 z0 z1; z0; z1: 8 6 1
+M, m 15 5 z0 z1; z0; z1: 8 6 2
+M, m 15 7 z0 z1; z0; z1: 9 5 3
+M, m 15 9 z0 z1; z0; z1: 9 5 4
+M, m 15 11 z0 z1; z0; z1: 10 4 5
+M, m 15 13 z0 z1; z0; z1: 10 4 6
+M, m 15 15 z0 z1; z0; z1: 11 3 7
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004lM, m 1 1 z0 z1; z0; z1: 0 0 0
+True False True
+M, m 3 1 z0 z1; z0; z1: 1 1 0
+True False True
+M, m 3 3 z0 z1; z0; z1: 2 0 1
+False False True
+M, m 5 1 z0 z1; z0; z1: 2 2 0
+False False True
+M, m 5 3 z0 z1; z0; z1: 3 1 1
+False False True
+M, m 5 5 z0 z1; z0; z1: 3 1 2
+False False True
+M, m 7 1 z0 z1; z0; z1: 3 3 0
+False False True
+M, m 7 3 z0 z1; z0; z1: 4 2 1
+True False True
+M, m 7 5 z0 z1; z0; z1: 4 2 2
+False False True
+M, m 7 7 z0 z1; z0; z1: 5 1 3
+False False True
+M, m 9 1 z0 z1; z0; z1: 4 4 0
+False False True
+^C---------------------------------------------------------------------------
+KeyboardInterrupt                         Traceback (most recent call last)
+Input In [18], in <cell line: 1>()
+----> 1 load('init.sage')
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:28, in <module>
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:12, in <module>
+
+File <string>:45, in __init__(self, C, list_of_fcts, branch_points, prec)
+
+File <string>:196, in artin_schreier_transform(power_series, prec)
+
+File <string>:12, in new_reverse(power_series, prec)
+
+File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:1831, in sage.rings.laurent_series_ring_element.LaurentSeries.__call__()
+   1829 if x:
+   1830     raise ValueError("must not specify %s keyword and positional argument" % name)
+-> 1831 a = self(kwds[name])
+   1832 del kwds[name]
+   1833 try:
+
+File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:1852, in sage.rings.laurent_series_ring_element.LaurentSeries.__call__()
+   1850         x = x[0]
+   1851 
+-> 1852     return self.__u(*x)*(x[0]**self.__n)
+   1853 
+   1854 def __pari__(self):
+
+File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:365, in sage.rings.power_series_poly.PowerSeries_poly.__call__()
+    363         x[0] = a
+    364         x = tuple(x)
+--> 365     return self.__f(x)
+    366 
+    367 def _unsafe_mutate(self, i, value):
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_element.pyx:898, in sage.rings.polynomial.polynomial_element.Polynomial.__call__()
+    896             return result
+    897         pol._compiled = CompiledPolynomialFunction(pol.list())
+--> 898     return pol._compiled.eval(a)
+    899 
+    900 def compose_trunc(self, Polynomial other, long n):
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:125, in sage.rings.polynomial.polynomial_compiled.CompiledPolynomialFunction.eval()
+    123 cdef object temp
+    124 try:
+--> 125     pd_eval(self._dag, x, self._coeffs)  #see further down
+    126     temp = self._dag.value               #for an explanation
+    127     pd_clean(self._dag)                  #of these 3 lines
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:353, in sage.rings.polynomial.polynomial_compiled.pd_eval()
+    351 cdef inline int pd_eval(generic_pd pd, object vars, object coeffs) except -2:
+    352     if pd.value is None:
+--> 353         pd.eval(vars, coeffs)
+    354     pd.hits += 1
+    355 
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:507, in sage.rings.polynomial.polynomial_compiled.abc_pd.eval()
+    505 
+    506     cdef int eval(abc_pd self, object vars, object coeffs) except -2:
+--> 507         pd_eval(self.left, vars, coeffs)
+    508         pd_eval(self.right, vars, coeffs)
+    509         self.value = self.left.value * self.right.value + coeffs[self.index]
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:353, in sage.rings.polynomial.polynomial_compiled.pd_eval()
+    351 cdef inline int pd_eval(generic_pd pd, object vars, object coeffs) except -2:
+    352     if pd.value is None:
+--> 353         pd.eval(vars, coeffs)
+    354     pd.hits += 1
+    355 
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:507, in sage.rings.polynomial.polynomial_compiled.abc_pd.eval()
+    505 
+    506     cdef int eval(abc_pd self, object vars, object coeffs) except -2:
+--> 507         pd_eval(self.left, vars, coeffs)
+    508         pd_eval(self.right, vars, coeffs)
+    509         self.value = self.left.value * self.right.value + coeffs[self.index]
+
+    [... skipping similar frames: sage.rings.polynomial.polynomial_compiled.pd_eval at line 353 (24 times), sage.rings.polynomial.polynomial_compiled.abc_pd.eval at line 507 (23 times)]
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:507, in sage.rings.polynomial.polynomial_compiled.abc_pd.eval()
+    505 
+    506     cdef int eval(abc_pd self, object vars, object coeffs) except -2:
+--> 507         pd_eval(self.left, vars, coeffs)
+    508         pd_eval(self.right, vars, coeffs)
+    509         self.value = self.left.value * self.right.value + coeffs[self.index]
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:353, in sage.rings.polynomial.polynomial_compiled.pd_eval()
+    351 cdef inline int pd_eval(generic_pd pd, object vars, object coeffs) except -2:
+    352     if pd.value is None:
+--> 353         pd.eval(vars, coeffs)
+    354     pd.hits += 1
+    355 
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:508, in sage.rings.polynomial.polynomial_compiled.abc_pd.eval()
+    506 cdef int eval(abc_pd self, object vars, object coeffs) except -2:
+    507     pd_eval(self.left, vars, coeffs)
+--> 508     pd_eval(self.right, vars, coeffs)
+    509     self.value = self.left.value * self.right.value + coeffs[self.index]
+    510     pd_clean(self.left)
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:353, in sage.rings.polynomial.polynomial_compiled.pd_eval()
+    351 cdef inline int pd_eval(generic_pd pd, object vars, object coeffs) except -2:
+    352     if pd.value is None:
+--> 353         pd.eval(vars, coeffs)
+    354     pd.hits += 1
+    355 
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:492, in sage.rings.polynomial.polynomial_compiled.mul_pd.eval()
+    490 pd_eval(self.left, vars, coeffs)
+    491 pd_eval(self.right, vars, coeffs)
+--> 492 self.value = self.left.value * self.right.value
+    493 pd_clean(self.left)
+    494 pd_clean(self.right)
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:1514, in sage.structure.element.Element.__mul__()
+   1512 cdef int cl = classify_elements(left, right)
+   1513 if HAVE_SAME_PARENT(cl):
+-> 1514     return (<Element>left)._mul_(right)
+   1515 if BOTH_ARE_ELEMENT(cl):
+   1516     return coercion_model.bin_op(left, right, mul)
+
+File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:913, in sage.rings.laurent_series_ring_element.LaurentSeries._mul_()
+    911 cdef LaurentSeries right = <LaurentSeries>right_r
+    912 return type(self)(self._parent,
+--> 913                   self.__u * right.__u,
+    914                   self.__n + right.__n)
+    915 
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:1514, in sage.structure.element.Element.__mul__()
+   1512 cdef int cl = classify_elements(left, right)
+   1513 if HAVE_SAME_PARENT(cl):
+-> 1514     return (<Element>left)._mul_(right)
+   1515 if BOTH_ARE_ELEMENT(cl):
+   1516     return coercion_model.bin_op(left, right, mul)
+
+File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:540, in sage.rings.power_series_poly.PowerSeries_poly._mul_()
+    538 """
+    539 prec = self._mul_prec(right_r)
+--> 540 return PowerSeries_poly(self._parent,
+    541                         self.__f * (<PowerSeries_poly>right_r).__f,
+    542                         prec=prec,
+
+File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:44, in sage.rings.power_series_poly.PowerSeries_poly.__init__()
+     42     ValueError: series has negative valuation
+     43 """
+---> 44 R = parent._poly_ring()
+     45 if isinstance(f, Element):
+     46     if (<Element>f)._parent is R:
+
+File /ext/sage/9.7/src/sage/rings/power_series_ring.py:961, in PowerSeriesRing_generic._poly_ring(self)
+    958         pass
+    959     return False
+--> 961 def _poly_ring(self):
+    962     """
+    963     Return the underlying polynomial ring used to represent elements of
+    964     this power series ring.
+   (...)
+    970         Univariate Polynomial Ring in t over Integer Ring
+    971     """
+    972     return self.__poly_ring
+
+File src/cysignals/signals.pyx:310, in cysignals.signals.python_check_interrupt()
+
+KeyboardInterrupt: 
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004lM, m 1 1 z0 z1; z0; z1: 0 0 0
+0 1 0
+M, m 3 1 z0 z1; z0; z1: 1 1 0
+1 3 0
+M, m 3 3 z0 z1; z0; z1: 2 0 1
+1 2 1
+M, m 5 1 z0 z1; z0; z1: 2 2 0
+3 6 0
+M, m 5 3 z0 z1; z0; z1: 3 1 1
+2 5 1
+M, m 5 5 z0 z1; z0; z1: 3 1 2
+2 4 2
+M, m 7 1 z0 z1; z0; z1: 3 3 0
+4 8 0
+M, m 7 3 z0 z1; z0; z1: 4 2 1
+4 7 1
+M, m 7 5 z0 z1; z0; z1: 4 2 2
+3 6 2
+M, m 7 7 z0 z1; z0; z1: 5 1 3
+3 5 3
+^C---------------------------------------------------------------------------
+KeyboardInterrupt                         Traceback (most recent call last)
+Input In [19], in <cell line: 1>()
+----> 1 load('init.sage')
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:28, in <module>
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:19, in <module>
+
+File <string>:344, in cohomology_of_structure_sheaf_basis(self, threshold)
+
+File <string>:344, in <listcomp>(.0)
+
+File <string>:131, in serre_duality_pairing(self, fct)
+
+File /ext/sage/9.7/src/sage/misc/functional.py:585, in symbolic_sum(expression, *args, **kwds)
+    583     return expression.sum(*args, **kwds)
+    584 elif max(len(args),len(kwds)) <= 1:
+--> 585     return sum(expression, *args, **kwds)
+    586 else:
+    587     from sage.symbolic.ring import SR
+
+File <string>:131, in <genexpr>(.0)
+
+File <string>:124, in residue(self, place)
+
+File <string>:39, in expansion_at_infty(self, place)
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:943, in sage.structure.element.Element.substitute()
+    941         5
+    942      """
+--> 943     return self.subs(in_dict,**kwds)
+    944 
+    945 cpdef _act_on_(self, x, bint self_on_left):
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:830, in sage.structure.element.Element.subs()
+    828 if str(gen) in kwds:
+    829     variables.append(kwds[str(gen)])
+--> 830 elif in_dict and gen in in_dict:
+    831     variables.append(in_dict[gen])
+    832 else:
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:1112, in sage.structure.element.Element.__richcmp__()
+   1110         return (<Element>self)._richcmp_(other, op)
+   1111     else:
+-> 1112         return coercion_model.richcmp(self, other, op)
+   1113 
+   1114 cpdef _richcmp_(left, right, int op):
+
+File /ext/sage/9.7/src/sage/structure/coerce.pyx:1973, in sage.structure.coerce.CoercionModel.richcmp()
+   1971 # Coerce to a common parent
+   1972 try:
+-> 1973     x, y = self.canonical_coercion(x, y)
+   1974 except (TypeError, NotImplementedError):
+   1975     pass
+
+File /ext/sage/9.7/src/sage/structure/coerce.pyx:1311, in sage.structure.coerce.CoercionModel.canonical_coercion()
+   1309 x_map, y_map = coercions
+   1310 if x_map is not None:
+-> 1311     x_elt = (<Map>x_map)._call_(x)
+   1312 else:
+   1313     x_elt = x
+
+File /ext/sage/9.7/src/sage/structure/coerce_maps.pyx:156, in sage.structure.coerce_maps.DefaultConvertMap_unique._call_()
+    154 cdef Parent C = self._codomain
+    155 try:
+--> 156     return C._element_constructor(x)
+    157 except Exception:
+    158     if print_warnings:
+
+File /ext/sage/9.7/src/sage/rings/fraction_field.py:638, in FractionField_generic._element_constructor_(self, x, y, coerce)
+    636 ring_one = self.ring().one()
+    637 try:
+--> 638     return self._element_class(self, x, ring_one, coerce=coerce)
+    639 except (TypeError, ValueError):
+    640     pass
+
+File src/cysignals/signals.pyx:310, in cysignals.signals.python_check_interrupt()
+
+KeyboardInterrupt: 
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004lM, m 1 1 z0 z1; z0; z1: 0 0 0
+0 1 0
+M, m 3 1 z0 z1; z0; z1: 1 1 0
+2 3 0
+M, m 3 3 z0 z1; z0; z1: 2 0 1
+1 2 1
+M, m 5 1 z0 z1; z0; z1: 2 2 0
+3 6 0
+M, m 5 3 z0 z1; z0; z1: 3 1 1
+3 5 1
+M, m 5 5 z0 z1; z0; z1: 3 1 2
+2 4 2
+M, m 7 1 z0 z1; z0; z1: 3 3 0
+5 8 0
+M, m 7 3 z0 z1; z0; z1: 4 2 1
+4 7 1
+M, m 7 5 z0 z1; z0; z1: 4 2 2
+4 6 2
+M, m 7 7 z0 z1; z0; z1: 5 1 3
+3 5 3
+M, m 9 1 z0 z1; z0; z1: 4 4 0
+6 11 0
+M, m 9 3 z0 z1; z0; z1: 5 3 1
+6 10 1
+M, m 9 5 z0 z1; z0; z1: 5 3 2
+5 9 2
+M, m 9 7 z0 z1; z0; z1: 6 2 3
+5 8 3
+M, m 9 9 z0 z1; z0; z1: 6 2 4
+4 7 4
+M, m 11 1 z0 z1; z0; z1: 5 5 0
+8 13 0
+M, m 11 3 z0 z1; z0; z1: 6 4 1
+7 12 1
+M, m 11 5 z0 z1; z0; z1: 6 4 2
+7 11 2
+M, m 11 7 z0 z1; z0; z1: 7 3 3
+6 10 3
+M, m 11 9 z0 z1; z0; z1: 7 3 4
+6 9 4
+M, m 11 11 z0 z1; z0; z1: 8 2 5
+5 8 5
+M, m 13 1 z0 z1; z0; z1: 6 6 0
+9 16 0
+M, m 13 3 z0 z1; z0; z1: 7 5 1
+9 15 1
+M, m 13 5 z0 z1; z0; z1: 7 5 2
+8 14 2
+M, m 13 7 z0 z1; z0; z1: 8 4 3
+8 13 3
+M, m 13 9 z0 z1; z0; z1: 8 4 4
+7 12 4
+M, m 13 11 z0 z1; z0; z1: 9 3 5
+7 11 5
+M, m 13 13 z0 z1; z0; z1: 9 3 6
+6 10 6
+M, m 15 1 z0 z1; z0; z1: 7 7 0
+11 18 0
+M, m 15 3 z0 z1; z0; z1: 8 6 1
+10 17 1
+M, m 15 5 z0 z1; z0; z1: 8 6 2
+10 16 2
+M, m 15 7 z0 z1; z0; z1: 9 5 3
+9 15 3
+M, m 15 9 z0 z1; z0; z1: 9 5 4
+9 14 4
+M, m 15 11 z0 z1; z0; z1: 10 4 5
+8 13 5
+M, m 15 13 z0 z1; z0; z1: 10 4 6
+8 12 6
+^C---------------------------------------------------------------------------
+KeyboardInterrupt                         Traceback (most recent call last)
+Input In [20], in <cell line: 1>()
+----> 1 load('init.sage')
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:28, in <module>
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:19, in <module>
+
+File <string>:344, in cohomology_of_structure_sheaf_basis(self, threshold)
+
+File <string>:344, in <listcomp>(.0)
+
+File <string>:131, in serre_duality_pairing(self, fct)
+
+File /ext/sage/9.7/src/sage/misc/functional.py:585, in symbolic_sum(expression, *args, **kwds)
+    583     return expression.sum(*args, **kwds)
+    584 elif max(len(args),len(kwds)) <= 1:
+--> 585     return sum(expression, *args, **kwds)
+    586 else:
+    587     from sage.symbolic.ring import SR
+
+File <string>:131, in <genexpr>(.0)
+
+File <string>:124, in residue(self, place)
+
+File <string>:39, in expansion_at_infty(self, place)
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:943, in sage.structure.element.Element.substitute()
+    941         5
+    942      """
+--> 943     return self.subs(in_dict,**kwds)
+    944 
+    945 cpdef _act_on_(self, x, bint self_on_left):
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:834, in sage.structure.element.Element.subs()
+    832         else:
+    833             variables.append(gen)
+--> 834     return self(*variables)
+    835 
+    836 def numerical_approx(self, prec=None, digits=None, algorithm=None):
+
+File /ext/sage/9.7/src/sage/rings/fraction_field_element.pyx:449, in sage.rings.fraction_field_element.FractionFieldElement.__call__()
+    447         (-2*x1*x2 + x1 + 1)/(x1 + x2)
+    448     """
+--> 449     return self.__numerator(*x, **kwds) / self.__denominator(*x, **kwds)
+    450 
+    451 def _is_atomic(self):
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:1739, in sage.structure.element.Element.__truediv__()
+   1737     return (<Element>left)._div_(right)
+   1738 if BOTH_ARE_ELEMENT(cl):
+-> 1739     return coercion_model.bin_op(left, right, truediv)
+   1740 
+   1741 try:
+
+File /ext/sage/9.7/src/sage/structure/coerce.pyx:1204, in sage.structure.coerce.CoercionModel.bin_op()
+   1202     self._record_exception()
+   1203 else:
+-> 1204     return PyObject_CallObject(op, xy)
+   1205 
+   1206 if op is mul:
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:1737, in sage.structure.element.Element.__truediv__()
+   1735 cdef int cl = classify_elements(left, right)
+   1736 if HAVE_SAME_PARENT(cl):
+-> 1737     return (<Element>left)._div_(right)
+   1738 if BOTH_ARE_ELEMENT(cl):
+   1739     return coercion_model.bin_op(left, right, truediv)
+
+File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:1083, in sage.rings.laurent_series_ring_element.LaurentSeries._div_()
+   1081 try:
+   1082     return type(self)(self._parent,
+-> 1083                       self.__u / right.__u,
+   1084                       self.__n - right.__n)
+   1085 except TypeError as msg:
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:1737, in sage.structure.element.Element.__truediv__()
+   1735 cdef int cl = classify_elements(left, right)
+   1736 if HAVE_SAME_PARENT(cl):
+-> 1737     return (<Element>left)._div_(right)
+   1738 if BOTH_ARE_ELEMENT(cl):
+   1739     return coercion_model.bin_op(left, right, truediv)
+
+File /ext/sage/9.7/src/sage/rings/power_series_ring_element.pyx:1091, in sage.rings.power_series_ring_element.PowerSeries._div_()
+   1089     raise ZeroDivisionError("Can't divide by something indistinguishable from 0")
+   1090 u = denom.valuation_zero_part()
+-> 1091 inv = ~u  # inverse
+   1092 
+   1093 v = denom.valuation()
+
+File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:721, in sage.rings.power_series_poly.PowerSeries_poly.__invert__()
+    719         return R(u, -self.valuation())
+    720 
+--> 721     return self._parent(self.truncate().inverse_series_trunc(prec), prec=prec)
+    722 
+    723 def truncate(self, prec=infinity):
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_element.pyx:1632, in sage.rings.polynomial.polynomial_element.Polynomial.inverse_series_trunc()
+   1630             raise ValueError("Impossible inverse modulo")
+   1631 
+-> 1632 cpdef Polynomial inverse_series_trunc(self, long prec):
+   1633     r"""
+   1634     Return a polynomial approximation of precision ``prec`` of the inverse
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_element.pyx:1717, in sage.rings.polynomial.polynomial_element.Polynomial.inverse_series_trunc()
+   1715 current = R(first_coeff)
+   1716 for next_prec in sage.misc.misc.newton_method_sizes(prec)[1:]:
+-> 1717     z = current._mul_trunc_(self, next_prec)._mul_trunc_(current, next_prec)
+   1718     current = current + current - z
+   1719 return current
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_element.pyx:1799, in sage.rings.polynomial.polynomial_element.Polynomial._mul_trunc_()
+   1797         return self._mul_generic(right)
+   1798 
+-> 1799 cpdef Polynomial _mul_trunc_(self, Polynomial right, long n):
+   1800     r"""
+   1801     Return the truncated multiplication of two polynomials up to ``n``.
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_element.pyx:1838, in sage.rings.polynomial.polynomial_element.Polynomial._mul_trunc_()
+   1836     x = self.list(copy=False)
+   1837     y = right.list(copy=False)
+-> 1838     return self._new_generic(do_schoolbook_product(x, y, n))
+   1839 else:
+   1840     pol = self.truncate(n) * right.truncate(n)
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_element.pyx:248, in sage.rings.polynomial.polynomial_element.Polynomial._new_generic()
+    246         del coeffs[n]
+    247         n -= 1
+--> 248     return type(self)(self._parent, coeffs, check=False)
+    249 
+    250 cpdef _add_(self, right):
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_zz_pex.pyx:151, in sage.rings.polynomial.polynomial_zz_pex.Polynomial_ZZ_pEX.__init__()
+    149     # not do K.coerce(e) but K(e).
+    150     e = K(e)
+--> 151     d = parent._modulus.ZZ_pE(list(e.polynomial()))
+    152     ZZ_pEX_SetCoeff(self.x, i, d.x)
+    153 return
+
+File /ext/sage/9.7/src/sage/rings/finite_rings/element_givaro.pyx:1514, in sage.rings.finite_rings.element_givaro.FiniteField_givaroElement.polynomial()
+   1512         return PolynomialRing(K.prime_subfield(), name)(ret)
+   1513     else:
+-> 1514         return K.polynomial_ring()(ret)
+   1515 
+   1516 def _magma_init_(self, magma):
+
+File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
+    895 if mor is not None:
+    896     if no_extra_args:
+--> 897         return mor._call_(x)
+    898     else:
+    899         return mor._call_with_args(x, args, kwds)
+
+File /ext/sage/9.7/src/sage/structure/coerce_maps.pyx:156, in sage.structure.coerce_maps.DefaultConvertMap_unique._call_()
+    154 cdef Parent C = self._codomain
+    155 try:
+--> 156     return C._element_constructor(x)
+    157 except Exception:
+    158     if print_warnings:
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_ring.py:309, in PolynomialRing_general._element_constructor_(self, x, check, is_gen, construct, **kwds)
+    306     args = (self.base_ring(), self.variable_names(), None, self.is_sparse())
+    307     return unpickle_PolynomialRing, args
+--> 309 def _element_constructor_(self, x=None, check=True, is_gen=False,
+    310                           construct=False, **kwds):
+    311     r"""
+    312     Convert ``x`` into this univariate polynomial ring,
+    313     possibly non-canonically.
+   (...)
+    412         λ^2
+    413     """
+    414     C = self.element_class
+
+File src/cysignals/signals.pyx:310, in cysignals.signals.python_check_interrupt()
+
+KeyboardInterrupt: 
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004lM, m 1 1 z0 z1; z0; z1: 0 0 0
+True False True
+M, m 3 1 z0 z1; z0; z1: 1 1 0
+False False True
+M, m 3 3 z0 z1; z0; z1: 2 0 1
+False False True
+M, m 5 1 z0 z1; z0; z1: 2 2 0
+False False True
+M, m 5 3 z0 z1; z0; z1: 3 1 1
+True False True
+M, m 5 5 z0 z1; z0; z1: 3 1 2
+False False True
+M, m 7 1 z0 z1; z0; z1: 3 3 0
+False False True
+M, m 7 3 z0 z1; z0; z1: 4 2 1
+True False True
+M, m 7 5 z0 z1; z0; z1: 4 2 2
+True False True
+M, m 7 7 z0 z1; z0; z1: 5 1 3
+False False True
+M, m 9 1 z0 z1; z0; z1: 4 4 0
+False False True
+M, m 9 3 z0 z1; z0; z1: 5 3 1
+False False True
+M, m 9 5 z0 z1; z0; z1: 5 3 2
+True False True
+^C---------------------------------------------------------------------------
+KeyboardInterrupt                         Traceback (most recent call last)
+Input In [21], in <cell line: 1>()
+----> 1 load('init.sage')
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:28, in <module>
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:12, in <module>
+
+File <string>:38, in __init__(self, C, list_of_fcts, branch_points, prec)
+
+File <string>:143, in expansion(self, pt, prec)
+
+File <string>:135, in expansion_at_infty(self, place, prec)
+
+File <string>:18, in naive_hensel(fct, F, start, prec)
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:1737, in sage.structure.element.Element.__truediv__()
+   1735 cdef int cl = classify_elements(left, right)
+   1736 if HAVE_SAME_PARENT(cl):
+-> 1737     return (<Element>left)._div_(right)
+   1738 if BOTH_ARE_ELEMENT(cl):
+   1739     return coercion_model.bin_op(left, right, truediv)
+
+File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:1083, in sage.rings.laurent_series_ring_element.LaurentSeries._div_()
+   1081 try:
+   1082     return type(self)(self._parent,
+-> 1083                       self.__u / right.__u,
+   1084                       self.__n - right.__n)
+   1085 except TypeError as msg:
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:1737, in sage.structure.element.Element.__truediv__()
+   1735 cdef int cl = classify_elements(left, right)
+   1736 if HAVE_SAME_PARENT(cl):
+-> 1737     return (<Element>left)._div_(right)
+   1738 if BOTH_ARE_ELEMENT(cl):
+   1739     return coercion_model.bin_op(left, right, truediv)
+
+File /ext/sage/9.7/src/sage/rings/power_series_ring_element.pyx:1110, in sage.rings.power_series_ring_element.PowerSeries._div_()
+   1108     else:
+   1109         num = self
+-> 1110     return num*inv
+   1111 
+   1112 def __mod__(self, other):
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:1514, in sage.structure.element.Element.__mul__()
+   1512 cdef int cl = classify_elements(left, right)
+   1513 if HAVE_SAME_PARENT(cl):
+-> 1514     return (<Element>left)._mul_(right)
+   1515 if BOTH_ARE_ELEMENT(cl):
+   1516     return coercion_model.bin_op(left, right, mul)
+
+File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:540, in sage.rings.power_series_poly.PowerSeries_poly._mul_()
+    538 """
+    539 prec = self._mul_prec(right_r)
+--> 540 return PowerSeries_poly(self._parent,
+    541                         self.__f * (<PowerSeries_poly>right_r).__f,
+    542                         prec=prec,
+
+File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:44, in sage.rings.power_series_poly.PowerSeries_poly.__init__()
+     42     ValueError: series has negative valuation
+     43 """
+---> 44 R = parent._poly_ring()
+     45 if isinstance(f, Element):
+     46     if (<Element>f)._parent is R:
+
+File /ext/sage/9.7/src/sage/rings/power_series_ring.py:961, in PowerSeriesRing_generic._poly_ring(self)
+    958         pass
+    959     return False
+--> 961 def _poly_ring(self):
+    962     """
+    963     Return the underlying polynomial ring used to represent elements of
+    964     this power series ring.
+   (...)
+    970         Univariate Polynomial Ring in t over Integer Ring
+    971     """
+    972     return self.__poly_ring
+
+File src/cysignals/signals.pyx:310, in cysignals.signals.python_check_interrupt()
+
+KeyboardInterrupt: 
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004lM, m 1 1 z0 z1; z0; z1: 0 0 0
+0 1 0
+M, m 3 1 z0 z1; z0; z1: 1 1 0
+2 3 0
+M, m 3 3 z0 z1; z0; z1: 2 0 1
+1 2 1
+M, m 5 1 z0 z1; z0; z1: 2 2 0
+3 6 0
+M, m 5 3 z0 z1; z0; z1: 3 1 1
+3 5 1
+M, m 5 5 z0 z1; z0; z1: 3 1 2
+2 4 2
+M, m 7 1 z0 z1; z0; z1: 3 3 0
+5 8 0
+M, m 7 3 z0 z1; z0; z1: 4 2 1
+4 7 1
+M, m 7 5 z0 z1; z0; z1: 4 2 2
+4 6 2
+M, m 7 7 z0 z1; z0; z1: 5 1 3
+3 5 3
+M, m 9 1 z0 z1; z0; z1: 4 4 0
+6 11 0
+M, m 9 3 z0 z1; z0; z1: 5 3 1
+6 10 1
+M, m 9 5 z0 z1; z0; z1: 5 3 2
+5 9 2
+M, m 9 7 z0 z1; z0; z1: 6 2 3
+5 8 3
+M, m 9 9 z0 z1; z0; z1: 6 2 4
+4 7 4
+M, m 11 1 z0 z1; z0; z1: 5 5 0
+8 13 0
+M, m 11 3 z0 z1; z0; z1: 6 4 1
+7 12 1
+M, m 11 5 z0 z1; z0; z1: 6 4 2
+7 11 2
+M, m 11 7 z0 z1; z0; z1: 7 3 3
+6 10 3
+M, m 11 9 z0 z1; z0; z1: 7 3 4
+6 9 4
+M, m 11 11 z0 z1; z0; z1: 8 2 5
+5 8 5
+M, m 13 1 z0 z1; z0; z1: 6 6 0
+9 16 0
+M, m 13 3 z0 z1; z0; z1: 7 5 1
+9 15 1
+M, m 13 5 z0 z1; z0; z1: 7 5 2
+8 14 2
+M, m 13 7 z0 z1; z0; z1: 8 4 3
+8 13 3
+M, m 13 9 z0 z1; z0; z1: 8 4 4
+7 12 4
+M, m 13 11 z0 z1; z0; z1: 9 3 5
+7 11 5
+M, m 13 13 z0 z1; z0; z1: 9 3 6
+6 10 6
+M, m 15 1 z0 z1; z0; z1: 7 7 0
+11 18 0
+M, m 15 3 z0 z1; z0; z1: 8 6 1
+10 17 1
+M, m 15 5 z0 z1; z0; z1: 8 6 2
+10 16 2
+M, m 15 7 z0 z1; z0; z1: 9 5 3
+9 15 3
+M, m 15 9 z0 z1; z0; z1: 9 5 4
+9 14 4
+M, m 15 11 z0 z1; z0; z1: 10 4 5
+8 13 5
+M, m 15 13 z0 z1; z0; z1: 10 4 6
+8 12 6
+M, m 15 15 z0 z1; z0; z1: 11 3 7
+7 11 7
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004lM, m 1 1 z0 z1; z0; z1: 0 0 0
+True False True
+M, m 3 1 z0 z1; z0; z1: 1 1 0
+True False True
+M, m 3 3 z0 z1; z0; z1: 2 0 1
+False False True
+M, m 5 1 z0 z1; z0; z1: 2 2 0
+False False True
+M, m 5 3 z0 z1; z0; z1: 3 1 1
+False False True
+M, m 5 5 z0 z1; z0; z1: 3 1 2
+False False True
+M, m 7 1 z0 z1; z0; z1: 3 3 0
+False False True
+^C---------------------------------------------------------------------------
+KeyboardInterrupt                         Traceback (most recent call last)
+Input In [23], in <cell line: 1>()
+----> 1 load('init.sage')
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:28, in <module>
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:19, in <module>
+
+File <string>:344, in cohomology_of_structure_sheaf_basis(self, threshold)
+
+File <string>:344, in <listcomp>(.0)
+
+File <string>:131, in serre_duality_pairing(self, fct)
+
+File /ext/sage/9.7/src/sage/misc/functional.py:585, in symbolic_sum(expression, *args, **kwds)
+    583     return expression.sum(*args, **kwds)
+    584 elif max(len(args),len(kwds)) <= 1:
+--> 585     return sum(expression, *args, **kwds)
+    586 else:
+    587     from sage.symbolic.ring import SR
+
+File <string>:131, in <genexpr>(.0)
+
+File <string>:124, in residue(self, place)
+
+File <string>:39, in expansion_at_infty(self, place)
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:943, in sage.structure.element.Element.substitute()
+    941         5
+    942      """
+--> 943     return self.subs(in_dict,**kwds)
+    944 
+    945 cpdef _act_on_(self, x, bint self_on_left):
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:834, in sage.structure.element.Element.subs()
+    832         else:
+    833             variables.append(gen)
+--> 834     return self(*variables)
+    835 
+    836 def numerical_approx(self, prec=None, digits=None, algorithm=None):
+
+File /ext/sage/9.7/src/sage/rings/fraction_field_element.pyx:449, in sage.rings.fraction_field_element.FractionFieldElement.__call__()
+    447         (-2*x1*x2 + x1 + 1)/(x1 + x2)
+    448     """
+--> 449     return self.__numerator(*x, **kwds) / self.__denominator(*x, **kwds)
+    450 
+    451 def _is_atomic(self):
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:1737, in sage.structure.element.Element.__truediv__()
+   1735 cdef int cl = classify_elements(left, right)
+   1736 if HAVE_SAME_PARENT(cl):
+-> 1737     return (<Element>left)._div_(right)
+   1738 if BOTH_ARE_ELEMENT(cl):
+   1739     return coercion_model.bin_op(left, right, truediv)
+
+File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:1083, in sage.rings.laurent_series_ring_element.LaurentSeries._div_()
+   1081 try:
+   1082     return type(self)(self._parent,
+-> 1083                       self.__u / right.__u,
+   1084                       self.__n - right.__n)
+   1085 except TypeError as msg:
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:1737, in sage.structure.element.Element.__truediv__()
+   1735 cdef int cl = classify_elements(left, right)
+   1736 if HAVE_SAME_PARENT(cl):
+-> 1737     return (<Element>left)._div_(right)
+   1738 if BOTH_ARE_ELEMENT(cl):
+   1739     return coercion_model.bin_op(left, right, truediv)
+
+File /ext/sage/9.7/src/sage/rings/power_series_ring_element.pyx:1091, in sage.rings.power_series_ring_element.PowerSeries._div_()
+   1089     raise ZeroDivisionError("Can't divide by something indistinguishable from 0")
+   1090 u = denom.valuation_zero_part()
+-> 1091 inv = ~u  # inverse
+   1092 
+   1093 v = denom.valuation()
+
+File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:721, in sage.rings.power_series_poly.PowerSeries_poly.__invert__()
+    719         return R(u, -self.valuation())
+    720 
+--> 721     return self._parent(self.truncate().inverse_series_trunc(prec), prec=prec)
+    722 
+    723 def truncate(self, prec=infinity):
+
+File /ext/sage/9.7/src/sage/structure/parent.pyx:899, in sage.structure.parent.Parent.__call__()
+    897         return mor._call_(x)
+    898     else:
+--> 899         return mor._call_with_args(x, args, kwds)
+    900 
+    901 raise TypeError(_LazyString("No conversion defined from %s to %s", (R, self), {}))
+
+File /ext/sage/9.7/src/sage/structure/coerce_maps.pyx:170, in sage.structure.coerce_maps.DefaultConvertMap_unique._call_with_args()
+    168         return C._element_constructor(x)
+    169     else:
+--> 170         return C._element_constructor(x, **kwds)
+    171 else:
+    172     if len(kwds) == 0:
+
+File /ext/sage/9.7/src/sage/rings/power_series_ring.py:700, in PowerSeriesRing_generic._element_constructor_(self, f, prec, check)
+    696     if (is_PolynomialRing(S) or is_PowerSeriesRing(S)) and self.base_ring().has_coerce_map_from(S.base_ring()) \
+    697        and self.variable_names()==S.variable_names():
+    698         return True
+--> 700 def _element_constructor_(self, f, prec=infinity, check=True):
+    701     """
+    702     Coerce object to this power series ring.
+    703 
+   (...)
+    793 
+    794     """
+    795     if prec is not infinity:
+
+File src/cysignals/signals.pyx:310, in cysignals.signals.python_check_interrupt()
+
+KeyboardInterrupt: 
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004lM, m 1 1 z0 z1; z0; z1: 0 0 0
+0 1 0
+M, m 3 1 z0 z1; z0; z1: 1 1 0
+1 3 0
+M, m 3 3 z0 z1; z0; z1: 2 0 1
+1 2 1
+M, m 5 1 z0 z1; z0; z1: 2 2 0
+1 6 0
+M, m 5 3 z0 z1; z0; z1: 3 1 1
+2 5 1
+M, m 5 5 z0 z1; z0; z1: 3 1 2
+2 4 2
+M, m 7 1 z0 z1; z0; z1: 3 3 0
+2 8 0
+M, m 7 3 z0 z1; z0; z1: 4 2 1
+2 7 1
+M, m 7 5 z0 z1; z0; z1: 4 2 2
+3 6 2
+M, m 7 7 z0 z1; z0; z1: 5 1 3
+3 5 3
+^C---------------------------------------------------------------------------
+KeyboardInterrupt                         Traceback (most recent call last)
+Input In [24], in <cell line: 1>()
+----> 1 load('init.sage')
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:28, in <module>
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:12, in <module>
+
+File <string>:45, in __init__(self, C, list_of_fcts, branch_points, prec)
+
+File <string>:196, in artin_schreier_transform(power_series, prec)
+
+File <string>:12, in new_reverse(power_series, prec)
+
+File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:1831, in sage.rings.laurent_series_ring_element.LaurentSeries.__call__()
+   1829 if x:
+   1830     raise ValueError("must not specify %s keyword and positional argument" % name)
+-> 1831 a = self(kwds[name])
+   1832 del kwds[name]
+   1833 try:
+
+File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:1852, in sage.rings.laurent_series_ring_element.LaurentSeries.__call__()
+   1850         x = x[0]
+   1851 
+-> 1852     return self.__u(*x)*(x[0]**self.__n)
+   1853 
+   1854 def __pari__(self):
+
+File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:365, in sage.rings.power_series_poly.PowerSeries_poly.__call__()
+    363         x[0] = a
+    364         x = tuple(x)
+--> 365     return self.__f(x)
+    366 
+    367 def _unsafe_mutate(self, i, value):
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_element.pyx:898, in sage.rings.polynomial.polynomial_element.Polynomial.__call__()
+    896             return result
+    897         pol._compiled = CompiledPolynomialFunction(pol.list())
+--> 898     return pol._compiled.eval(a)
+    899 
+    900 def compose_trunc(self, Polynomial other, long n):
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:125, in sage.rings.polynomial.polynomial_compiled.CompiledPolynomialFunction.eval()
+    123 cdef object temp
+    124 try:
+--> 125     pd_eval(self._dag, x, self._coeffs)  #see further down
+    126     temp = self._dag.value               #for an explanation
+    127     pd_clean(self._dag)                  #of these 3 lines
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:353, in sage.rings.polynomial.polynomial_compiled.pd_eval()
+    351 cdef inline int pd_eval(generic_pd pd, object vars, object coeffs) except -2:
+    352     if pd.value is None:
+--> 353         pd.eval(vars, coeffs)
+    354     pd.hits += 1
+    355 
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:507, in sage.rings.polynomial.polynomial_compiled.abc_pd.eval()
+    505 
+    506     cdef int eval(abc_pd self, object vars, object coeffs) except -2:
+--> 507         pd_eval(self.left, vars, coeffs)
+    508         pd_eval(self.right, vars, coeffs)
+    509         self.value = self.left.value * self.right.value + coeffs[self.index]
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:353, in sage.rings.polynomial.polynomial_compiled.pd_eval()
+    351 cdef inline int pd_eval(generic_pd pd, object vars, object coeffs) except -2:
+    352     if pd.value is None:
+--> 353         pd.eval(vars, coeffs)
+    354     pd.hits += 1
+    355 
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:507, in sage.rings.polynomial.polynomial_compiled.abc_pd.eval()
+    505 
+    506     cdef int eval(abc_pd self, object vars, object coeffs) except -2:
+--> 507         pd_eval(self.left, vars, coeffs)
+    508         pd_eval(self.right, vars, coeffs)
+    509         self.value = self.left.value * self.right.value + coeffs[self.index]
+
+    [... skipping similar frames: sage.rings.polynomial.polynomial_compiled.pd_eval at line 353 (7 times), sage.rings.polynomial.polynomial_compiled.abc_pd.eval at line 507 (6 times)]
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:507, in sage.rings.polynomial.polynomial_compiled.abc_pd.eval()
+    505 
+    506     cdef int eval(abc_pd self, object vars, object coeffs) except -2:
+--> 507         pd_eval(self.left, vars, coeffs)
+    508         pd_eval(self.right, vars, coeffs)
+    509         self.value = self.left.value * self.right.value + coeffs[self.index]
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:353, in sage.rings.polynomial.polynomial_compiled.pd_eval()
+    351 cdef inline int pd_eval(generic_pd pd, object vars, object coeffs) except -2:
+    352     if pd.value is None:
+--> 353         pd.eval(vars, coeffs)
+    354     pd.hits += 1
+    355 
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:509, in sage.rings.polynomial.polynomial_compiled.abc_pd.eval()
+    507 pd_eval(self.left, vars, coeffs)
+    508 pd_eval(self.right, vars, coeffs)
+--> 509 self.value = self.left.value * self.right.value + coeffs[self.index]
+    510 pd_clean(self.left)
+    511 pd_clean(self.right)
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:1233, in sage.structure.element.Element.__add__()
+   1231 # Left and right are Sage elements => use coercion model
+   1232 if BOTH_ARE_ELEMENT(cl):
+-> 1233     return coercion_model.bin_op(left, right, add)
+   1234 
+   1235 cdef long value
+
+File /ext/sage/9.7/src/sage/structure/coerce.pyx:1200, in sage.structure.coerce.CoercionModel.bin_op()
+   1198 # Now coerce to a common parent and do the operation there
+   1199 try:
+-> 1200     xy = self.canonical_coercion(x, y)
+   1201 except TypeError:
+   1202     self._record_exception()
+
+File /ext/sage/9.7/src/sage/structure/coerce.pyx:1315, in sage.structure.coerce.CoercionModel.canonical_coercion()
+   1313     x_elt = x
+   1314 if y_map is not None:
+-> 1315     y_elt = (<Map>y_map)._call_(y)
+   1316 else:
+   1317     y_elt = y
+
+File /ext/sage/9.7/src/sage/categories/morphism.pyx:601, in sage.categories.morphism.SetMorphism._call_()
+    599         3
+    600     """
+--> 601     return self._function(x)
+    602 
+    603 cpdef Element _call_with_args(self, x, args=(), kwds={}):
+
+File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:919, in sage.rings.laurent_series_ring_element.LaurentSeries._lmul_()
+    917     return type(self)(self._parent, self.__u._rmul_(c), self.__n)
+    918 
+--> 919 cpdef _lmul_(self, Element c):
+    920     return type(self)(self._parent, self.__u._lmul_(c), self.__n)
+    921 
+
+File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:920, in sage.rings.laurent_series_ring_element.LaurentSeries._lmul_()
+    918 
+    919     cpdef _lmul_(self, Element c):
+--> 920         return type(self)(self._parent, self.__u._lmul_(c), self.__n)
+    921 
+    922     def __pow__(_self, r, dummy):
+
+File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:569, in sage.rings.power_series_poly.PowerSeries_poly._lmul_()
+    567         2 + 6*t^4 + O(t^120)
+    568     """
+--> 569     return PowerSeries_poly(self._parent, c * self.__f, self._prec, check=False)
+    570 
+    571 def __lshift__(PowerSeries_poly self, n):
+
+File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:44, in sage.rings.power_series_poly.PowerSeries_poly.__init__()
+     42     ValueError: series has negative valuation
+     43 """
+---> 44 R = parent._poly_ring()
+     45 if isinstance(f, Element):
+     46     if (<Element>f)._parent is R:
+
+File /ext/sage/9.7/src/sage/rings/power_series_ring.py:961, in PowerSeriesRing_generic._poly_ring(self)
+    958         pass
+    959     return False
+--> 961 def _poly_ring(self):
+    962     """
+    963     Return the underlying polynomial ring used to represent elements of
+    964     this power series ring.
+   (...)
+    970         Univariate Polynomial Ring in t over Integer Ring
+    971     """
+    972     return self.__poly_ring
+
+File src/cysignals/signals.pyx:310, in cysignals.signals.python_check_interrupt()
+
+KeyboardInterrupt: 
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004lM, m 1 1 z0 z1; z0; z1: 0 0 0
+True False True
+M, m 3 1 z0 z1; z0; z1: 1 1 0
+True False True
+M, m 3 3 z0 z1; z0; z1: 2 0 1
+False False True
+M, m 5 1 z0 z1; z0; z1: 2 2 0
+True False True
+M, m 5 3 z0 z1; z0; z1: 3 1 1
+False False True
+M, m 5 5 z0 z1; z0; z1: 3 1 2
+False False True
+M, m 7 1 z0 z1; z0; z1: 3 3 0
+True False True
+M, m 7 3 z0 z1; z0; z1: 4 2 1
+False False True
+M, m 7 5 z0 z1; z0; z1: 4 2 2
+False False True
+M, m 7 7 z0 z1; z0; z1: 5 1 3
+False False True
+M, m 9 1 z0 z1; z0; z1: 4 4 0
+True False True
+M, m 9 3 z0 z1; z0; z1: 5 3 1
+False False True
+M, m 9 5 z0 z1; z0; z1: 5 3 2
+False False True
+^C---------------------------------------------------------------------------
+KeyboardInterrupt                         Traceback (most recent call last)
+Input In [25], in <cell line: 1>()
+----> 1 load('init.sage')
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:28, in <module>
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:19, in <module>
+
+File <string>:318, in cohomology_of_structure_sheaf_basis(self, threshold)
+
+File <string>:139, in holomorphic_differentials_basis(self, threshold)
+
+File <string>:425, in holomorphic_combinations(S)
+
+File <string>:67, in __add__(self, other)
+
+File <string>:13, in __init__(self, C, g)
+
+File src/cysignals/signals.pyx:310, in cysignals.signals.python_check_interrupt()
+
+KeyboardInterrupt: 
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004lM, m 1 1 z0 z1; z0; z1: 0 0 0
+True False True
+M, m 3 1 z0 z1; z0; z1: 1 1 0
+False False True
+M, m 3 3 z0 z1; z0; z1: 2 0 1
+False False True
+M, m 5 1 z0 z1; z0; z1: 2 2 0
+True False True
+^C---------------------------------------------------------------------------
+KeyboardInterrupt                         Traceback (most recent call last)
+Input In [26], in <cell line: 1>()
+----> 1 load('init.sage')
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:28, in <module>
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:12, in <module>
+
+File <string>:45, in __init__(self, C, list_of_fcts, branch_points, prec)
+
+File <string>:196, in artin_schreier_transform(power_series, prec)
+
+File <string>:12, in new_reverse(power_series, prec)
+
+File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:1831, in sage.rings.laurent_series_ring_element.LaurentSeries.__call__()
+   1829 if x:
+   1830     raise ValueError("must not specify %s keyword and positional argument" % name)
+-> 1831 a = self(kwds[name])
+   1832 del kwds[name]
+   1833 try:
+
+File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:1852, in sage.rings.laurent_series_ring_element.LaurentSeries.__call__()
+   1850         x = x[0]
+   1851 
+-> 1852     return self.__u(*x)*(x[0]**self.__n)
+   1853 
+   1854 def __pari__(self):
+
+File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:365, in sage.rings.power_series_poly.PowerSeries_poly.__call__()
+    363         x[0] = a
+    364         x = tuple(x)
+--> 365     return self.__f(x)
+    366 
+    367 def _unsafe_mutate(self, i, value):
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_element.pyx:898, in sage.rings.polynomial.polynomial_element.Polynomial.__call__()
+    896             return result
+    897         pol._compiled = CompiledPolynomialFunction(pol.list())
+--> 898     return pol._compiled.eval(a)
+    899 
+    900 def compose_trunc(self, Polynomial other, long n):
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:125, in sage.rings.polynomial.polynomial_compiled.CompiledPolynomialFunction.eval()
+    123 cdef object temp
+    124 try:
+--> 125     pd_eval(self._dag, x, self._coeffs)  #see further down
+    126     temp = self._dag.value               #for an explanation
+    127     pd_clean(self._dag)                  #of these 3 lines
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:353, in sage.rings.polynomial.polynomial_compiled.pd_eval()
+    351 cdef inline int pd_eval(generic_pd pd, object vars, object coeffs) except -2:
+    352     if pd.value is None:
+--> 353         pd.eval(vars, coeffs)
+    354     pd.hits += 1
+    355 
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:507, in sage.rings.polynomial.polynomial_compiled.abc_pd.eval()
+    505 
+    506     cdef int eval(abc_pd self, object vars, object coeffs) except -2:
+--> 507         pd_eval(self.left, vars, coeffs)
+    508         pd_eval(self.right, vars, coeffs)
+    509         self.value = self.left.value * self.right.value + coeffs[self.index]
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:353, in sage.rings.polynomial.polynomial_compiled.pd_eval()
+    351 cdef inline int pd_eval(generic_pd pd, object vars, object coeffs) except -2:
+    352     if pd.value is None:
+--> 353         pd.eval(vars, coeffs)
+    354     pd.hits += 1
+    355 
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:507, in sage.rings.polynomial.polynomial_compiled.abc_pd.eval()
+    505 
+    506     cdef int eval(abc_pd self, object vars, object coeffs) except -2:
+--> 507         pd_eval(self.left, vars, coeffs)
+    508         pd_eval(self.right, vars, coeffs)
+    509         self.value = self.left.value * self.right.value + coeffs[self.index]
+
+    [... skipping similar frames: sage.rings.polynomial.polynomial_compiled.pd_eval at line 353 (19 times), sage.rings.polynomial.polynomial_compiled.abc_pd.eval at line 507 (18 times)]
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:507, in sage.rings.polynomial.polynomial_compiled.abc_pd.eval()
+    505 
+    506     cdef int eval(abc_pd self, object vars, object coeffs) except -2:
+--> 507         pd_eval(self.left, vars, coeffs)
+    508         pd_eval(self.right, vars, coeffs)
+    509         self.value = self.left.value * self.right.value + coeffs[self.index]
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:353, in sage.rings.polynomial.polynomial_compiled.pd_eval()
+    351 cdef inline int pd_eval(generic_pd pd, object vars, object coeffs) except -2:
+    352     if pd.value is None:
+--> 353         pd.eval(vars, coeffs)
+    354     pd.hits += 1
+    355 
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:509, in sage.rings.polynomial.polynomial_compiled.abc_pd.eval()
+    507 pd_eval(self.left, vars, coeffs)
+    508 pd_eval(self.right, vars, coeffs)
+--> 509 self.value = self.left.value * self.right.value + coeffs[self.index]
+    510 pd_clean(self.left)
+    511 pd_clean(self.right)
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:1233, in sage.structure.element.Element.__add__()
+   1231 # Left and right are Sage elements => use coercion model
+   1232 if BOTH_ARE_ELEMENT(cl):
+-> 1233     return coercion_model.bin_op(left, right, add)
+   1234 
+   1235 cdef long value
+
+File /ext/sage/9.7/src/sage/structure/coerce.pyx:1200, in sage.structure.coerce.CoercionModel.bin_op()
+   1198 # Now coerce to a common parent and do the operation there
+   1199 try:
+-> 1200     xy = self.canonical_coercion(x, y)
+   1201 except TypeError:
+   1202     self._record_exception()
+
+File /ext/sage/9.7/src/sage/structure/coerce.pyx:1315, in sage.structure.coerce.CoercionModel.canonical_coercion()
+   1313     x_elt = x
+   1314 if y_map is not None:
+-> 1315     y_elt = (<Map>y_map)._call_(y)
+   1316 else:
+   1317     y_elt = y
+
+File /ext/sage/9.7/src/sage/categories/morphism.pyx:601, in sage.categories.morphism.SetMorphism._call_()
+    599         3
+    600     """
+--> 601     return self._function(x)
+    602 
+    603 cpdef Element _call_with_args(self, x, args=(), kwds={}):
+
+File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:919, in sage.rings.laurent_series_ring_element.LaurentSeries._lmul_()
+    917     return type(self)(self._parent, self.__u._rmul_(c), self.__n)
+    918 
+--> 919 cpdef _lmul_(self, Element c):
+    920     return type(self)(self._parent, self.__u._lmul_(c), self.__n)
+    921 
+
+File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:920, in sage.rings.laurent_series_ring_element.LaurentSeries._lmul_()
+    918 
+    919     cpdef _lmul_(self, Element c):
+--> 920         return type(self)(self._parent, self.__u._lmul_(c), self.__n)
+    921 
+    922     def __pow__(_self, r, dummy):
+
+File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:569, in sage.rings.power_series_poly.PowerSeries_poly._lmul_()
+    567         2 + 6*t^4 + O(t^120)
+    568     """
+--> 569     return PowerSeries_poly(self._parent, c * self.__f, self._prec, check=False)
+    570 
+    571 def __lshift__(PowerSeries_poly self, n):
+
+File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:44, in sage.rings.power_series_poly.PowerSeries_poly.__init__()
+     42     ValueError: series has negative valuation
+     43 """
+---> 44 R = parent._poly_ring()
+     45 if isinstance(f, Element):
+     46     if (<Element>f)._parent is R:
+
+File /ext/sage/9.7/src/sage/rings/power_series_ring.py:961, in PowerSeriesRing_generic._poly_ring(self)
+    958         pass
+    959     return False
+--> 961 def _poly_ring(self):
+    962     """
+    963     Return the underlying polynomial ring used to represent elements of
+    964     this power series ring.
+   (...)
+    970         Univariate Polynomial Ring in t over Integer Ring
+    971     """
+    972     return self.__poly_ring
+
+File src/cysignals/signals.pyx:310, in cysignals.signals.python_check_interrupt()
+
+KeyboardInterrupt: 
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004lM, m 1 1 z0 z1; z0; z1: 0 0 0
+True False True
+M, m 3 1 z0 z1; z0; z1: 1 1 0
+True False True
+M, m 3 3 z0 z1; z0; z1: 2 0 1
+False False True
+M, m 5 1 z0 z1; z0; z1: 2 2 0
+False False True
+M, m 5 3 z0 z1; z0; z1: 3 1 1
+False False True
+M, m 5 5 z0 z1; z0; z1: 3 1 2
+False False True
+M, m 7 1 z0 z1; z0; z1: 3 3 0
+False False True
+M, m 7 3 z0 z1; z0; z1: 4 2 1
+False False True
+M, m 7 5 z0 z1; z0; z1: 4 2 2
+False False True
+M, m 7 7 z0 z1; z0; z1: 5 1 3
+False False True
+M, m 9 1 z0 z1; z0; z1: 4 4 0
+False False True
+M, m 9 3 z0 z1; z0; z1: 5 3 1
+False False True
+M, m 9 5 z0 z1; z0; z1: 5 3 2
+False False True
+^C---------------------------------------------------------------------------
+KeyboardInterrupt                         Traceback (most recent call last)
+Input In [27], in <cell line: 1>()
+----> 1 load('init.sage')
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:28, in <module>
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:19, in <module>
+
+File <string>:344, in cohomology_of_structure_sheaf_basis(self, threshold)
+
+File <string>:344, in <listcomp>(.0)
+
+File <string>:131, in serre_duality_pairing(self, fct)
+
+File /ext/sage/9.7/src/sage/misc/functional.py:585, in symbolic_sum(expression, *args, **kwds)
+    583     return expression.sum(*args, **kwds)
+    584 elif max(len(args),len(kwds)) <= 1:
+--> 585     return sum(expression, *args, **kwds)
+    586 else:
+    587     from sage.symbolic.ring import SR
+
+File <string>:131, in <genexpr>(.0)
+
+File <string>:124, in residue(self, place)
+
+File <string>:39, in expansion_at_infty(self, place)
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:943, in sage.structure.element.Element.substitute()
+    941         5
+    942      """
+--> 943     return self.subs(in_dict,**kwds)
+    944 
+    945 cpdef _act_on_(self, x, bint self_on_left):
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:834, in sage.structure.element.Element.subs()
+    832         else:
+    833             variables.append(gen)
+--> 834     return self(*variables)
+    835 
+    836 def numerical_approx(self, prec=None, digits=None, algorithm=None):
+
+File /ext/sage/9.7/src/sage/rings/fraction_field_element.pyx:449, in sage.rings.fraction_field_element.FractionFieldElement.__call__()
+    447         (-2*x1*x2 + x1 + 1)/(x1 + x2)
+    448     """
+--> 449     return self.__numerator(*x, **kwds) / self.__denominator(*x, **kwds)
+    450 
+    451 def _is_atomic(self):
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:1737, in sage.structure.element.Element.__truediv__()
+   1735 cdef int cl = classify_elements(left, right)
+   1736 if HAVE_SAME_PARENT(cl):
+-> 1737     return (<Element>left)._div_(right)
+   1738 if BOTH_ARE_ELEMENT(cl):
+   1739     return coercion_model.bin_op(left, right, truediv)
+
+File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:1083, in sage.rings.laurent_series_ring_element.LaurentSeries._div_()
+   1081 try:
+   1082     return type(self)(self._parent,
+-> 1083                       self.__u / right.__u,
+   1084                       self.__n - right.__n)
+   1085 except TypeError as msg:
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:1737, in sage.structure.element.Element.__truediv__()
+   1735 cdef int cl = classify_elements(left, right)
+   1736 if HAVE_SAME_PARENT(cl):
+-> 1737     return (<Element>left)._div_(right)
+   1738 if BOTH_ARE_ELEMENT(cl):
+   1739     return coercion_model.bin_op(left, right, truediv)
+
+File /ext/sage/9.7/src/sage/rings/power_series_ring_element.pyx:1091, in sage.rings.power_series_ring_element.PowerSeries._div_()
+   1089     raise ZeroDivisionError("Can't divide by something indistinguishable from 0")
+   1090 u = denom.valuation_zero_part()
+-> 1091 inv = ~u  # inverse
+   1092 
+   1093 v = denom.valuation()
+
+File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:721, in sage.rings.power_series_poly.PowerSeries_poly.__invert__()
+    719         return R(u, -self.valuation())
+    720 
+--> 721     return self._parent(self.truncate().inverse_series_trunc(prec), prec=prec)
+    722 
+    723 def truncate(self, prec=infinity):
+
+File /ext/sage/9.7/src/sage/structure/parent.pyx:899, in sage.structure.parent.Parent.__call__()
+    897         return mor._call_(x)
+    898     else:
+--> 899         return mor._call_with_args(x, args, kwds)
+    900 
+    901 raise TypeError(_LazyString("No conversion defined from %s to %s", (R, self), {}))
+
+File /ext/sage/9.7/src/sage/structure/coerce_maps.pyx:170, in sage.structure.coerce_maps.DefaultConvertMap_unique._call_with_args()
+    168         return C._element_constructor(x)
+    169     else:
+--> 170         return C._element_constructor(x, **kwds)
+    171 else:
+    172     if len(kwds) == 0:
+
+File /ext/sage/9.7/src/sage/rings/power_series_ring.py:700, in PowerSeriesRing_generic._element_constructor_(self, f, prec, check)
+    696     if (is_PolynomialRing(S) or is_PowerSeriesRing(S)) and self.base_ring().has_coerce_map_from(S.base_ring()) \
+    697        and self.variable_names()==S.variable_names():
+    698         return True
+--> 700 def _element_constructor_(self, f, prec=infinity, check=True):
+    701     """
+    702     Coerce object to this power series ring.
+    703 
+   (...)
+    793 
+    794     """
+    795     if prec is not infinity:
+
+File src/cysignals/signals.pyx:310, in cysignals.signals.python_check_interrupt()
+
+KeyboardInterrupt: 
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004lM, m 1 1 z0 z1; z0; z1: 0 0 0
+0 1 0
+M, m 3 1 z0 z1; z0; z1: 1 1 0
+1 3 0
+M, m 3 3 z0 z1; z0; z1: 2 0 1
+1 2 1
+M, m 5 1 z0 z1; z0; z1: 2 2 0
+1 6 0
+M, m 5 3 z0 z1; z0; z1: 3 1 1
+2 5 1
+M, m 5 5 z0 z1; z0; z1: 3 1 2
+1 4 2
+M, m 7 1 z0 z1; z0; z1: 3 3 0
+2 8 0
+M, m 7 3 z0 z1; z0; z1: 4 2 1
+2 7 1
+M, m 7 5 z0 z1; z0; z1: 4 2 2
+2 6 2
+M, m 7 7 z0 z1; z0; z1: 5 1 3
+2 5 3
+M, m 9 1 z0 z1; z0; z1: 4 4 0
+2 11 0
+M, m 9 3 z0 z1; z0; z1: 5 3 1
+3 10 1
+^C---------------------------------------------------------------------------
+KeyboardInterrupt                         Traceback (most recent call last)
+Input In [28], in <cell line: 1>()
+----> 1 load('init.sage')
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:28, in <module>
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:12, in <module>
+
+File <string>:45, in __init__(self, C, list_of_fcts, branch_points, prec)
+
+File <string>:196, in artin_schreier_transform(power_series, prec)
+
+File <string>:12, in new_reverse(power_series, prec)
+
+File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:1831, in sage.rings.laurent_series_ring_element.LaurentSeries.__call__()
+   1829 if x:
+   1830     raise ValueError("must not specify %s keyword and positional argument" % name)
+-> 1831 a = self(kwds[name])
+   1832 del kwds[name]
+   1833 try:
+
+File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:1852, in sage.rings.laurent_series_ring_element.LaurentSeries.__call__()
+   1850         x = x[0]
+   1851 
+-> 1852     return self.__u(*x)*(x[0]**self.__n)
+   1853 
+   1854 def __pari__(self):
+
+File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:365, in sage.rings.power_series_poly.PowerSeries_poly.__call__()
+    363         x[0] = a
+    364         x = tuple(x)
+--> 365     return self.__f(x)
+    366 
+    367 def _unsafe_mutate(self, i, value):
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_element.pyx:898, in sage.rings.polynomial.polynomial_element.Polynomial.__call__()
+    896             return result
+    897         pol._compiled = CompiledPolynomialFunction(pol.list())
+--> 898     return pol._compiled.eval(a)
+    899 
+    900 def compose_trunc(self, Polynomial other, long n):
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:125, in sage.rings.polynomial.polynomial_compiled.CompiledPolynomialFunction.eval()
+    123 cdef object temp
+    124 try:
+--> 125     pd_eval(self._dag, x, self._coeffs)  #see further down
+    126     temp = self._dag.value               #for an explanation
+    127     pd_clean(self._dag)                  #of these 3 lines
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:353, in sage.rings.polynomial.polynomial_compiled.pd_eval()
+    351 cdef inline int pd_eval(generic_pd pd, object vars, object coeffs) except -2:
+    352     if pd.value is None:
+--> 353         pd.eval(vars, coeffs)
+    354     pd.hits += 1
+    355 
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:507, in sage.rings.polynomial.polynomial_compiled.abc_pd.eval()
+    505 
+    506     cdef int eval(abc_pd self, object vars, object coeffs) except -2:
+--> 507         pd_eval(self.left, vars, coeffs)
+    508         pd_eval(self.right, vars, coeffs)
+    509         self.value = self.left.value * self.right.value + coeffs[self.index]
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:353, in sage.rings.polynomial.polynomial_compiled.pd_eval()
+    351 cdef inline int pd_eval(generic_pd pd, object vars, object coeffs) except -2:
+    352     if pd.value is None:
+--> 353         pd.eval(vars, coeffs)
+    354     pd.hits += 1
+    355 
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:507, in sage.rings.polynomial.polynomial_compiled.abc_pd.eval()
+    505 
+    506     cdef int eval(abc_pd self, object vars, object coeffs) except -2:
+--> 507         pd_eval(self.left, vars, coeffs)
+    508         pd_eval(self.right, vars, coeffs)
+    509         self.value = self.left.value * self.right.value + coeffs[self.index]
+
+    [... skipping similar frames: sage.rings.polynomial.polynomial_compiled.pd_eval at line 353 (23 times), sage.rings.polynomial.polynomial_compiled.abc_pd.eval at line 507 (22 times)]
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:507, in sage.rings.polynomial.polynomial_compiled.abc_pd.eval()
+    505 
+    506     cdef int eval(abc_pd self, object vars, object coeffs) except -2:
+--> 507         pd_eval(self.left, vars, coeffs)
+    508         pd_eval(self.right, vars, coeffs)
+    509         self.value = self.left.value * self.right.value + coeffs[self.index]
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:353, in sage.rings.polynomial.polynomial_compiled.pd_eval()
+    351 cdef inline int pd_eval(generic_pd pd, object vars, object coeffs) except -2:
+    352     if pd.value is None:
+--> 353         pd.eval(vars, coeffs)
+    354     pd.hits += 1
+    355 
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:509, in sage.rings.polynomial.polynomial_compiled.abc_pd.eval()
+    507 pd_eval(self.left, vars, coeffs)
+    508 pd_eval(self.right, vars, coeffs)
+--> 509 self.value = self.left.value * self.right.value + coeffs[self.index]
+    510 pd_clean(self.left)
+    511 pd_clean(self.right)
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:1233, in sage.structure.element.Element.__add__()
+   1231 # Left and right are Sage elements => use coercion model
+   1232 if BOTH_ARE_ELEMENT(cl):
+-> 1233     return coercion_model.bin_op(left, right, add)
+   1234 
+   1235 cdef long value
+
+File /ext/sage/9.7/src/sage/structure/coerce.pyx:1200, in sage.structure.coerce.CoercionModel.bin_op()
+   1198 # Now coerce to a common parent and do the operation there
+   1199 try:
+-> 1200     xy = self.canonical_coercion(x, y)
+   1201 except TypeError:
+   1202     self._record_exception()
+
+File /ext/sage/9.7/src/sage/structure/coerce.pyx:1315, in sage.structure.coerce.CoercionModel.canonical_coercion()
+   1313     x_elt = x
+   1314 if y_map is not None:
+-> 1315     y_elt = (<Map>y_map)._call_(y)
+   1316 else:
+   1317     y_elt = y
+
+File /ext/sage/9.7/src/sage/categories/morphism.pyx:601, in sage.categories.morphism.SetMorphism._call_()
+    599         3
+    600     """
+--> 601     return self._function(x)
+    602 
+    603 cpdef Element _call_with_args(self, x, args=(), kwds={}):
+
+File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:919, in sage.rings.laurent_series_ring_element.LaurentSeries._lmul_()
+    917     return type(self)(self._parent, self.__u._rmul_(c), self.__n)
+    918 
+--> 919 cpdef _lmul_(self, Element c):
+    920     return type(self)(self._parent, self.__u._lmul_(c), self.__n)
+    921 
+
+File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:920, in sage.rings.laurent_series_ring_element.LaurentSeries._lmul_()
+    918 
+    919     cpdef _lmul_(self, Element c):
+--> 920         return type(self)(self._parent, self.__u._lmul_(c), self.__n)
+    921 
+    922     def __pow__(_self, r, dummy):
+
+File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:569, in sage.rings.power_series_poly.PowerSeries_poly._lmul_()
+    567         2 + 6*t^4 + O(t^120)
+    568     """
+--> 569     return PowerSeries_poly(self._parent, c * self.__f, self._prec, check=False)
+    570 
+    571 def __lshift__(PowerSeries_poly self, n):
+
+File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:44, in sage.rings.power_series_poly.PowerSeries_poly.__init__()
+     42     ValueError: series has negative valuation
+     43 """
+---> 44 R = parent._poly_ring()
+     45 if isinstance(f, Element):
+     46     if (<Element>f)._parent is R:
+
+File /ext/sage/9.7/src/sage/rings/power_series_ring.py:961, in PowerSeriesRing_generic._poly_ring(self)
+    958         pass
+    959     return False
+--> 961 def _poly_ring(self):
+    962     """
+    963     Return the underlying polynomial ring used to represent elements of
+    964     this power series ring.
+   (...)
+    970         Univariate Polynomial Ring in t over Integer Ring
+    971     """
+    972     return self.__poly_ring
+
+File src/cysignals/signals.pyx:310, in cysignals.signals.python_check_interrupt()
+
+KeyboardInterrupt: 
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004lM, m 1 1 z0 z1; z0; z1: 0 0 0
+0 1 0
+M, m 3 1 z0 z1; z0; z1: 1 1 0
+2 3 0
+M, m 3 3 z0 z1; z0; z1: 2 0 1
+1 2 1
+M, m 5 1 z0 z1; z0; z1: 2 2 0
+2 6 0
+M, m 5 3 z0 z1; z0; z1: 3 1 1
+2 5 1
+M, m 5 5 z0 z1; z0; z1: 3 1 2
+1 4 2
+M, m 7 1 z0 z1; z0; z1: 3 3 0
+4 8 0
+M, m 7 3 z0 z1; z0; z1: 4 2 1
+3 7 1
+M, m 7 5 z0 z1; z0; z1: 4 2 2
+3 6 2
+M, m 7 7 z0 z1; z0; z1: 5 1 3
+2 5 3
+M, m 9 1 z0 z1; z0; z1: 4 4 0
+4 11 0
+M, m 9 3 z0 z1; z0; z1: 5 3 1
+4 10 1
+M, m 9 5 z0 z1; z0; z1: 5 3 2
+3 9 2
+M, m 9 7 z0 z1; z0; z1: 6 2 3
+3 8 3
+M, m 9 9 z0 z1; z0; z1: 6 2 4
+2 7 4
+^C---------------------------------------------------------------------------
+KeyboardInterrupt                         Traceback (most recent call last)
+Input In [29], in <cell line: 1>()
+----> 1 load('init.sage')
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:28, in <module>
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:19, in <module>
+
+File <string>:318, in cohomology_of_structure_sheaf_basis(self, threshold)
+
+File <string>:135, in holomorphic_differentials_basis(self, threshold)
+
+File <string>:10, in __init__(self, C, g)
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_ring_constructor.py:632, in PolynomialRing(base_ring, *args, **kwds)
+    629     except KeyError:
+    630         raise TypeError("you must specify the names of the variables")
+--> 632 names = normalize_names(n, names)
+    634 # At this point, we have only handled the "names" keyword if it was
+    635 # needed. Since we know the variable names, it would logically be
+    636 # an error to specify an additional "names" keyword. However,
+   (...)
+    639 # and we allow this for historical reasons. However, the names
+    640 # must be consistent!
+    641 if "names" in kwds:
+
+File src/cysignals/signals.pyx:310, in cysignals.signals.python_check_interrupt()
+
+KeyboardInterrupt: 
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004lM, m 1 1 z0 z1; z0; z1: 0 0 0
+0 1 0
+M, m 3 1 z0 z1; z0; z1: 1 1 0
+1 3 0
+M, m 3 3 z0 z1; z0; z1: 2 0 1
+2 2 1
+M, m 5 1 z0 z1; z0; z1: 2 2 0
+1 6 0
+M, m 5 3 z0 z1; z0; z1: 3 1 1
+3 5 1
+M, m 5 5 z0 z1; z0; z1: 3 1 2
+3 4 2
+M, m 7 1 z0 z1; z0; z1: 3 3 0
+2 8 0
+M, m 7 3 z0 z1; z0; z1: 4 2 1
+3 7 1
+^C---------------------------------------------------------------------------
+KeyboardInterrupt                         Traceback (most recent call last)
+Input In [30], in <cell line: 1>()
+----> 1 load('init.sage')
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:28, in <module>
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:19, in <module>
+
+File <string>:344, in cohomology_of_structure_sheaf_basis(self, threshold)
+
+File <string>:344, in <listcomp>(.0)
+
+File <string>:131, in serre_duality_pairing(self, fct)
+
+File /ext/sage/9.7/src/sage/misc/functional.py:585, in symbolic_sum(expression, *args, **kwds)
+    583     return expression.sum(*args, **kwds)
+    584 elif max(len(args),len(kwds)) <= 1:
+--> 585     return sum(expression, *args, **kwds)
+    586 else:
+    587     from sage.symbolic.ring import SR
+
+File <string>:131, in <genexpr>(.0)
+
+File <string>:124, in residue(self, place)
+
+File <string>:39, in expansion_at_infty(self, place)
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:943, in sage.structure.element.Element.substitute()
+    941         5
+    942      """
+--> 943     return self.subs(in_dict,**kwds)
+    944 
+    945 cpdef _act_on_(self, x, bint self_on_left):
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:834, in sage.structure.element.Element.subs()
+    832         else:
+    833             variables.append(gen)
+--> 834     return self(*variables)
+    835 
+    836 def numerical_approx(self, prec=None, digits=None, algorithm=None):
+
+File /ext/sage/9.7/src/sage/rings/fraction_field_element.pyx:449, in sage.rings.fraction_field_element.FractionFieldElement.__call__()
+    447         (-2*x1*x2 + x1 + 1)/(x1 + x2)
+    448     """
+--> 449     return self.__numerator(*x, **kwds) / self.__denominator(*x, **kwds)
+    450 
+    451 def _is_atomic(self):
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:1737, in sage.structure.element.Element.__truediv__()
+   1735 cdef int cl = classify_elements(left, right)
+   1736 if HAVE_SAME_PARENT(cl):
+-> 1737     return (<Element>left)._div_(right)
+   1738 if BOTH_ARE_ELEMENT(cl):
+   1739     return coercion_model.bin_op(left, right, truediv)
+
+File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:1083, in sage.rings.laurent_series_ring_element.LaurentSeries._div_()
+   1081 try:
+   1082     return type(self)(self._parent,
+-> 1083                       self.__u / right.__u,
+   1084                       self.__n - right.__n)
+   1085 except TypeError as msg:
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:1737, in sage.structure.element.Element.__truediv__()
+   1735 cdef int cl = classify_elements(left, right)
+   1736 if HAVE_SAME_PARENT(cl):
+-> 1737     return (<Element>left)._div_(right)
+   1738 if BOTH_ARE_ELEMENT(cl):
+   1739     return coercion_model.bin_op(left, right, truediv)
+
+File /ext/sage/9.7/src/sage/rings/power_series_ring_element.pyx:1091, in sage.rings.power_series_ring_element.PowerSeries._div_()
+   1089     raise ZeroDivisionError("Can't divide by something indistinguishable from 0")
+   1090 u = denom.valuation_zero_part()
+-> 1091 inv = ~u  # inverse
+   1092 
+   1093 v = denom.valuation()
+
+File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:721, in sage.rings.power_series_poly.PowerSeries_poly.__invert__()
+    719         return R(u, -self.valuation())
+    720 
+--> 721     return self._parent(self.truncate().inverse_series_trunc(prec), prec=prec)
+    722 
+    723 def truncate(self, prec=infinity):
+
+File /ext/sage/9.7/src/sage/structure/parent.pyx:899, in sage.structure.parent.Parent.__call__()
+    897         return mor._call_(x)
+    898     else:
+--> 899         return mor._call_with_args(x, args, kwds)
+    900 
+    901 raise TypeError(_LazyString("No conversion defined from %s to %s", (R, self), {}))
+
+File /ext/sage/9.7/src/sage/structure/coerce_maps.pyx:170, in sage.structure.coerce_maps.DefaultConvertMap_unique._call_with_args()
+    168         return C._element_constructor(x)
+    169     else:
+--> 170         return C._element_constructor(x, **kwds)
+    171 else:
+    172     if len(kwds) == 0:
+
+File /ext/sage/9.7/src/sage/rings/power_series_ring.py:700, in PowerSeriesRing_generic._element_constructor_(self, f, prec, check)
+    696     if (is_PolynomialRing(S) or is_PowerSeriesRing(S)) and self.base_ring().has_coerce_map_from(S.base_ring()) \
+    697        and self.variable_names()==S.variable_names():
+    698         return True
+--> 700 def _element_constructor_(self, f, prec=infinity, check=True):
+    701     """
+    702     Coerce object to this power series ring.
+    703 
+   (...)
+    793 
+    794     """
+    795     if prec is not infinity:
+
+File src/cysignals/signals.pyx:310, in cysignals.signals.python_check_interrupt()
+
+KeyboardInterrupt: 
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004lM, m 1 1 z0 z1; z0; z1: 0 0 0
+0 1 0
+M, m 3 1 z0 z1; z0; z1: 1 1 0
+3 3 0
+M, m 3 3 z0 z1; z0; z1: 2 0 1
+2 2 1
+M, m 5 1 z0 z1; z0; z1: 2 2 0
+4 6 0
+M, m 5 3 z0 z1; z0; z1: 3 1 1
+4 5 1
+M, m 5 5 z0 z1; z0; z1: 3 1 2
+3 4 2
+M, m 7 1 z0 z1; z0; z1: 3 3 0
+7 8 0
+M, m 7 3 z0 z1; z0; z1: 4 2 1
+6 7 1
+M, m 7 5 z0 z1; z0; z1: 4 2 2
+6 6 2
+M, m 7 7 z0 z1; z0; z1: 5 1 3
+5 5 3
+M, m 9 1 z0 z1; z0; z1: 4 4 0
+8 11 0
+M, m 9 3 z0 z1; z0; z1: 5 3 1
+8 10 1
+M, m 9 5 z0 z1; z0; z1: 5 3 2
+7 9 2
+M, m 9 7 z0 z1; z0; z1: 6 2 3
+7 8 3
+M, m 9 9 z0 z1; z0; z1: 6 2 4
+6 7 4
+M, m 11 1 z0 z1; z0; z1: 5 5 0
+11 13 0
+M, m 11 3 z0 z1; z0; z1: 6 4 1
+10 12 1
+M, m 11 5 z0 z1; z0; z1: 6 4 2
+10 11 2
+M, m 11 7 z0 z1; z0; z1: 7 3 3
+9 10 3
+M, m 11 9 z0 z1; z0; z1: 7 3 4
+9 9 4
+M, m 11 11 z0 z1; z0; z1: 8 2 5
+8 8 5
+M, m 13 1 z0 z1; z0; z1: 6 6 0
+12 16 0
+M, m 13 3 z0 z1; z0; z1: 7 5 1
+12 15 1
+M, m 13 5 z0 z1; z0; z1: 7 5 2
+11 14 2
+M, m 13 7 z0 z1; z0; z1: 8 4 3
+11 13 3
+M, m 13 9 z0 z1; z0; z1: 8 4 4
+10 12 4
+M, m 13 11 z0 z1; z0; z1: 9 3 5
+10 11 5
+M, m 13 13 z0 z1; z0; z1: 9 3 6
+9 10 6
+M, m 15 1 z0 z1; z0; z1: 7 7 0
+15 18 0
+M, m 15 3 z0 z1; z0; z1: 8 6 1
+14 17 1
+M, m 15 5 z0 z1; z0; z1: 8 6 2
+14 16 2
+M, m 15 7 z0 z1; z0; z1: 9 5 3
+13 15 3
+^C---------------------------------------------------------------------------
+KeyboardInterrupt                         Traceback (most recent call last)
+Input In [31], in <cell line: 1>()
+----> 1 load('init.sage')
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:28, in <module>
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:19, in <module>
+
+File <string>:344, in cohomology_of_structure_sheaf_basis(self, threshold)
+
+File <string>:344, in <listcomp>(.0)
+
+File <string>:131, in serre_duality_pairing(self, fct)
+
+File /ext/sage/9.7/src/sage/misc/functional.py:585, in symbolic_sum(expression, *args, **kwds)
+    583     return expression.sum(*args, **kwds)
+    584 elif max(len(args),len(kwds)) <= 1:
+--> 585     return sum(expression, *args, **kwds)
+    586 else:
+    587     from sage.symbolic.ring import SR
+
+File <string>:131, in <genexpr>(.0)
+
+File <string>:124, in residue(self, place)
+
+File <string>:39, in expansion_at_infty(self, place)
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:943, in sage.structure.element.Element.substitute()
+    941         5
+    942      """
+--> 943     return self.subs(in_dict,**kwds)
+    944 
+    945 cpdef _act_on_(self, x, bint self_on_left):
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:834, in sage.structure.element.Element.subs()
+    832         else:
+    833             variables.append(gen)
+--> 834     return self(*variables)
+    835 
+    836 def numerical_approx(self, prec=None, digits=None, algorithm=None):
+
+File /ext/sage/9.7/src/sage/rings/fraction_field_element.pyx:449, in sage.rings.fraction_field_element.FractionFieldElement.__call__()
+    447         (-2*x1*x2 + x1 + 1)/(x1 + x2)
+    448     """
+--> 449     return self.__numerator(*x, **kwds) / self.__denominator(*x, **kwds)
+    450 
+    451 def _is_atomic(self):
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:1737, in sage.structure.element.Element.__truediv__()
+   1735 cdef int cl = classify_elements(left, right)
+   1736 if HAVE_SAME_PARENT(cl):
+-> 1737     return (<Element>left)._div_(right)
+   1738 if BOTH_ARE_ELEMENT(cl):
+   1739     return coercion_model.bin_op(left, right, truediv)
+
+File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:1083, in sage.rings.laurent_series_ring_element.LaurentSeries._div_()
+   1081 try:
+   1082     return type(self)(self._parent,
+-> 1083                       self.__u / right.__u,
+   1084                       self.__n - right.__n)
+   1085 except TypeError as msg:
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:1737, in sage.structure.element.Element.__truediv__()
+   1735 cdef int cl = classify_elements(left, right)
+   1736 if HAVE_SAME_PARENT(cl):
+-> 1737     return (<Element>left)._div_(right)
+   1738 if BOTH_ARE_ELEMENT(cl):
+   1739     return coercion_model.bin_op(left, right, truediv)
+
+File /ext/sage/9.7/src/sage/rings/power_series_ring_element.pyx:1091, in sage.rings.power_series_ring_element.PowerSeries._div_()
+   1089     raise ZeroDivisionError("Can't divide by something indistinguishable from 0")
+   1090 u = denom.valuation_zero_part()
+-> 1091 inv = ~u  # inverse
+   1092 
+   1093 v = denom.valuation()
+
+File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:721, in sage.rings.power_series_poly.PowerSeries_poly.__invert__()
+    719         return R(u, -self.valuation())
+    720 
+--> 721     return self._parent(self.truncate().inverse_series_trunc(prec), prec=prec)
+    722 
+    723 def truncate(self, prec=infinity):
+
+File /ext/sage/9.7/src/sage/structure/parent.pyx:899, in sage.structure.parent.Parent.__call__()
+    897         return mor._call_(x)
+    898     else:
+--> 899         return mor._call_with_args(x, args, kwds)
+    900 
+    901 raise TypeError(_LazyString("No conversion defined from %s to %s", (R, self), {}))
+
+File /ext/sage/9.7/src/sage/structure/coerce_maps.pyx:170, in sage.structure.coerce_maps.DefaultConvertMap_unique._call_with_args()
+    168         return C._element_constructor(x)
+    169     else:
+--> 170         return C._element_constructor(x, **kwds)
+    171 else:
+    172     if len(kwds) == 0:
+
+File /ext/sage/9.7/src/sage/rings/power_series_ring.py:700, in PowerSeriesRing_generic._element_constructor_(self, f, prec, check)
+    696     if (is_PolynomialRing(S) or is_PowerSeriesRing(S)) and self.base_ring().has_coerce_map_from(S.base_ring()) \
+    697        and self.variable_names()==S.variable_names():
+    698         return True
+--> 700 def _element_constructor_(self, f, prec=infinity, check=True):
+    701     """
+    702     Coerce object to this power series ring.
+    703 
+   (...)
+    793 
+    794     """
+    795     if prec is not infinity:
+
+File src/cysignals/signals.pyx:310, in cysignals.signals.python_check_interrupt()
+
+KeyboardInterrupt: 
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004lM, m 1 1 z0 z1; z0; z1: 0 0 0
+True False True
+M, m 3 1 z0 z1; z0; z1: 1 1 0
+True False True
+M, m 3 3 z0 z1; z0; z1: 2 0 1
+True False True
+M, m 5 1 z0 z1; z0; z1: 2 2 0
+True False True
+M, m 5 3 z0 z1; z0; z1: 3 1 1
+False False True
+M, m 5 5 z0 z1; z0; z1: 3 1 2
+True False True
+M, m 7 1 z0 z1; z0; z1: 3 3 0
+True False True
+M, m 7 3 z0 z1; z0; z1: 4 2 1
+True False True
+M, m 7 5 z0 z1; z0; z1: 4 2 2
+True False True
+M, m 7 7 z0 z1; z0; z1: 5 1 3
+True False True
+M, m 9 1 z0 z1; z0; z1: 4 4 0
+True False True
+M, m 9 3 z0 z1; z0; z1: 5 3 1
+False False True
+M, m 9 5 z0 z1; z0; z1: 5 3 2
+True False True
+M, m 9 7 z0 z1; z0; z1: 6 2 3
+False False True
+M, m 9 9 z0 z1; z0; z1: 6 2 4
+True False True
+M, m 11 1 z0 z1; z0; z1: 5 5 0
+True False True
+M, m 11 3 z0 z1; z0; z1: 6 4 1
+True False True
+M, m 11 5 z0 z1; z0; z1: 6 4 2
+True False True
+M, m 11 7 z0 z1; z0; z1: 7 3 3
+True False True
+M, m 11 9 z0 z1; z0; z1: 7 3 4
+True False True
+M, m 11 11 z0 z1; z0; z1: 8 2 5
+True False True
+M, m 13 1 z0 z1; z0; z1: 6 6 0
+True False True
+M, m 13 3 z0 z1; z0; z1: 7 5 1
+False False True
+M, m 13 5 z0 z1; z0; z1: 7 5 2
+True False True
+M, m 13 7 z0 z1; z0; z1: 8 4 3
+False False True
+M, m 13 9 z0 z1; z0; z1: 8 4 4
+True False True
+^C---------------------------------------------------------------------------
+KeyboardInterrupt                         Traceback (most recent call last)
+Input In [32], in <cell line: 1>()
+----> 1 load('init.sage')
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:28, in <module>
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:19, in <module>
+
+File <string>:344, in cohomology_of_structure_sheaf_basis(self, threshold)
+
+File <string>:344, in <listcomp>(.0)
+
+File <string>:131, in serre_duality_pairing(self, fct)
+
+File /ext/sage/9.7/src/sage/misc/functional.py:585, in symbolic_sum(expression, *args, **kwds)
+    583     return expression.sum(*args, **kwds)
+    584 elif max(len(args),len(kwds)) <= 1:
+--> 585     return sum(expression, *args, **kwds)
+    586 else:
+    587     from sage.symbolic.ring import SR
+
+File <string>:131, in <genexpr>(.0)
+
+File <string>:124, in residue(self, place)
+
+File <string>:39, in expansion_at_infty(self, place)
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:943, in sage.structure.element.Element.substitute()
+    941         5
+    942      """
+--> 943     return self.subs(in_dict,**kwds)
+    944 
+    945 cpdef _act_on_(self, x, bint self_on_left):
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:834, in sage.structure.element.Element.subs()
+    832         else:
+    833             variables.append(gen)
+--> 834     return self(*variables)
+    835 
+    836 def numerical_approx(self, prec=None, digits=None, algorithm=None):
+
+File /ext/sage/9.7/src/sage/rings/fraction_field_element.pyx:449, in sage.rings.fraction_field_element.FractionFieldElement.__call__()
+    447         (-2*x1*x2 + x1 + 1)/(x1 + x2)
+    448     """
+--> 449     return self.__numerator(*x, **kwds) / self.__denominator(*x, **kwds)
+    450 
+    451 def _is_atomic(self):
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:1737, in sage.structure.element.Element.__truediv__()
+   1735 cdef int cl = classify_elements(left, right)
+   1736 if HAVE_SAME_PARENT(cl):
+-> 1737     return (<Element>left)._div_(right)
+   1738 if BOTH_ARE_ELEMENT(cl):
+   1739     return coercion_model.bin_op(left, right, truediv)
+
+File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:1083, in sage.rings.laurent_series_ring_element.LaurentSeries._div_()
+   1081 try:
+   1082     return type(self)(self._parent,
+-> 1083                       self.__u / right.__u,
+   1084                       self.__n - right.__n)
+   1085 except TypeError as msg:
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:1737, in sage.structure.element.Element.__truediv__()
+   1735 cdef int cl = classify_elements(left, right)
+   1736 if HAVE_SAME_PARENT(cl):
+-> 1737     return (<Element>left)._div_(right)
+   1738 if BOTH_ARE_ELEMENT(cl):
+   1739     return coercion_model.bin_op(left, right, truediv)
+
+File /ext/sage/9.7/src/sage/rings/power_series_ring_element.pyx:1091, in sage.rings.power_series_ring_element.PowerSeries._div_()
+   1089     raise ZeroDivisionError("Can't divide by something indistinguishable from 0")
+   1090 u = denom.valuation_zero_part()
+-> 1091 inv = ~u  # inverse
+   1092 
+   1093 v = denom.valuation()
+
+File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:721, in sage.rings.power_series_poly.PowerSeries_poly.__invert__()
+    719         return R(u, -self.valuation())
+    720 
+--> 721     return self._parent(self.truncate().inverse_series_trunc(prec), prec=prec)
+    722 
+    723 def truncate(self, prec=infinity):
+
+File /ext/sage/9.7/src/sage/structure/parent.pyx:899, in sage.structure.parent.Parent.__call__()
+    897         return mor._call_(x)
+    898     else:
+--> 899         return mor._call_with_args(x, args, kwds)
+    900 
+    901 raise TypeError(_LazyString("No conversion defined from %s to %s", (R, self), {}))
+
+File /ext/sage/9.7/src/sage/structure/coerce_maps.pyx:170, in sage.structure.coerce_maps.DefaultConvertMap_unique._call_with_args()
+    168         return C._element_constructor(x)
+    169     else:
+--> 170         return C._element_constructor(x, **kwds)
+    171 else:
+    172     if len(kwds) == 0:
+
+File /ext/sage/9.7/src/sage/rings/power_series_ring.py:700, in PowerSeriesRing_generic._element_constructor_(self, f, prec, check)
+    696     if (is_PolynomialRing(S) or is_PowerSeriesRing(S)) and self.base_ring().has_coerce_map_from(S.base_ring()) \
+    697        and self.variable_names()==S.variable_names():
+    698         return True
+--> 700 def _element_constructor_(self, f, prec=infinity, check=True):
+    701     """
+    702     Coerce object to this power series ring.
+    703 
+   (...)
+    793 
+    794     """
+    795     if prec is not infinity:
+
+File src/cysignals/signals.pyx:310, in cysignals.signals.python_check_interrupt()
+
+KeyboardInterrupt: 
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004lM, m 1 1 z0 z1; z0; z1: 0 0 0
+0 1 0
+M, m 3 1 z0 z1; z0; z1: 1 1 0
+1 3 0
+M, m 3 3 z0 z1; z0; z1: 2 0 1
+2 2 1
+M, m 5 1 z0 z1; z0; z1: 2 2 0
+2 6 0
+M, m 5 3 z0 z1; z0; z1: 3 1 1
+2 5 1
+M, m 5 5 z0 z1; z0; z1: 3 1 2
+3 4 2
+M, m 7 1 z0 z1; z0; z1: 3 3 0
+3 8 0
+M, m 7 3 z0 z1; z0; z1: 4 2 1
+4 7 1
+M, m 7 5 z0 z1; z0; z1: 4 2 2
+4 6 2
+M, m 7 7 z0 z1; z0; z1: 5 1 3
+5 5 3
+M, m 9 1 z0 z1; z0; z1: 4 4 0
+4 11 0
+M, m 9 3 z0 z1; z0; z1: 5 3 1
+4 10 1
+M, m 9 5 z0 z1; z0; z1: 5 3 2
+5 9 2
+M, m 9 7 z0 z1; z0; z1: 6 2 3
+5 8 3
+M, m 9 9 z0 z1; z0; z1: 6 2 4
+6 7 4
+M, m 11 1 z0 z1; z0; z1: 5 5 0
+5 13 0
+M, m 11 3 z0 z1; z0; z1: 6 4 1
+6 12 1
+M, m 11 5 z0 z1; z0; z1: 6 4 2
+6 11 2
+M, m 11 7 z0 z1; z0; z1: 7 3 3
+7 10 3
+M, m 11 9 z0 z1; z0; z1: 7 3 4
+7 9 4
+M, m 11 11 z0 z1; z0; z1: 8 2 5
+8 8 5
+M, m 13 1 z0 z1; z0; z1: 6 6 0
+6 16 0
+M, m 13 3 z0 z1; z0; z1: 7 5 1
+6 15 1
+M, m 13 5 z0 z1; z0; z1: 7 5 2
+7 14 2
+M, m 13 7 z0 z1; z0; z1: 8 4 3
+7 13 3
+M, m 13 9 z0 z1; z0; z1: 8 4 4
+8 12 4
+M, m 13 11 z0 z1; z0; z1: 9 3 5
+8 11 5
+M, m 13 13 z0 z1; z0; z1: 9 3 6
+9 10 6
+M, m 15 1 z0 z1; z0; z1: 7 7 0
+7 18 0
+M, m 15 3 z0 z1; z0; z1: 8 6 1
+8 17 1
+M, m 15 5 z0 z1; z0; z1: 8 6 2
+8 16 2
+M, m 15 7 z0 z1; z0; z1: 9 5 3
+9 15 3
+M, m 15 9 z0 z1; z0; z1: 9 5 4
+9 14 4
+M, m 15 11 z0 z1; z0; z1: 10 4 5
+10 13 5
+M, m 15 13 z0 z1; z0; z1: 10 4 6
+10 12 6
+M, m 15 15 z0 z1; z0; z1: 11 3 7
+11 11 7
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l3 5 2 3
+3 9 4 5
+7 9 5 6
+3 13 6 7
+7 13 7 8
+11 13 8 9
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l3 5 2 3
+3 9 4 5
+7 9 5 6
+3 13 6 7
+7 13 7 8
+11 13 8 9
+3 17 8 9
+7 17 9 10
+11 17 10 11
+15 17 11 12
+3 21 10 11
+7 21 11 12
+11 21 12 13
+15 21 13 14
+19 21 14 15
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l3 3 1 2
+3 7 3 4
+7 7 4 5
+3 11 5 6
+7 11 6 7
+11 11 7 8
+3 15 7 8
+7 15 8 9
+11 15 9 10
+15 15 10 11
+3 19 9 10
+7 19 10 11
+11 19 11 12
+15 19 12 13
+19 19 13 14
+3 23 11 12
+7 23 12 13
+11 23 13 14
+15 23 14 15
+19 23 15 16
+23 23 16 17
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l3 5 2 3
+3 9 4 5
+7 9 5 6
+3 13 6 7
+7 13 7 8
+11 13 8 9
+3 17 8 9
+7 17 9 10
+11 17 10 11
+15 17 11 12
+3 21 10 11
+7 21 11 12
+11 21 12 13
+15 21 13 14
+19 21 14 15
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ sage
+┌────────────────────────────────────────────────────────────────────┐
+│ SageMath version 9.7, Release Date: 2022-09-19                     │
+│ Using Python 3.10.5. Type "help()" for help.                       │
+└────────────────────────────────────────────────────────────────────┘
+]0;IPython: DeRhamComputation/sage[?2004h[?1l[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004lTrue True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+True True
+^C^C
+KeyboardInterrupt
+
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004lTrue True
+True True
+False True
+True True
+False True
+True True
+True True
+False True
+True True
+False True
+True True
+False True
+True True
+^C---------------------------------------------------------------------------
+KeyboardInterrupt                         Traceback (most recent call last)
+Input In [2], in <cell line: 1>()
+----> 1 load('init.sage')
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:28, in <module>
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:18, in <module>
+
+File <string>:45, in __init__(self, C, list_of_fcts, branch_points, prec)
+
+File <string>:196, in artin_schreier_transform(power_series, prec)
+
+File <string>:12, in new_reverse(power_series, prec)
+
+File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:1831, in sage.rings.laurent_series_ring_element.LaurentSeries.__call__()
+   1829 if x:
+   1830     raise ValueError("must not specify %s keyword and positional argument" % name)
+-> 1831 a = self(kwds[name])
+   1832 del kwds[name]
+   1833 try:
+
+File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:1852, in sage.rings.laurent_series_ring_element.LaurentSeries.__call__()
+   1850         x = x[0]
+   1851 
+-> 1852     return self.__u(*x)*(x[0]**self.__n)
+   1853 
+   1854 def __pari__(self):
+
+File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:365, in sage.rings.power_series_poly.PowerSeries_poly.__call__()
+    363         x[0] = a
+    364         x = tuple(x)
+--> 365     return self.__f(x)
+    366 
+    367 def _unsafe_mutate(self, i, value):
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_element.pyx:898, in sage.rings.polynomial.polynomial_element.Polynomial.__call__()
+    896             return result
+    897         pol._compiled = CompiledPolynomialFunction(pol.list())
+--> 898     return pol._compiled.eval(a)
+    899 
+    900 def compose_trunc(self, Polynomial other, long n):
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:125, in sage.rings.polynomial.polynomial_compiled.CompiledPolynomialFunction.eval()
+    123 cdef object temp
+    124 try:
+--> 125     pd_eval(self._dag, x, self._coeffs)  #see further down
+    126     temp = self._dag.value               #for an explanation
+    127     pd_clean(self._dag)                  #of these 3 lines
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:353, in sage.rings.polynomial.polynomial_compiled.pd_eval()
+    351 cdef inline int pd_eval(generic_pd pd, object vars, object coeffs) except -2:
+    352     if pd.value is None:
+--> 353         pd.eval(vars, coeffs)
+    354     pd.hits += 1
+    355 
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:507, in sage.rings.polynomial.polynomial_compiled.abc_pd.eval()
+    505 
+    506     cdef int eval(abc_pd self, object vars, object coeffs) except -2:
+--> 507         pd_eval(self.left, vars, coeffs)
+    508         pd_eval(self.right, vars, coeffs)
+    509         self.value = self.left.value * self.right.value + coeffs[self.index]
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:353, in sage.rings.polynomial.polynomial_compiled.pd_eval()
+    351 cdef inline int pd_eval(generic_pd pd, object vars, object coeffs) except -2:
+    352     if pd.value is None:
+--> 353         pd.eval(vars, coeffs)
+    354     pd.hits += 1
+    355 
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:507, in sage.rings.polynomial.polynomial_compiled.abc_pd.eval()
+    505 
+    506     cdef int eval(abc_pd self, object vars, object coeffs) except -2:
+--> 507         pd_eval(self.left, vars, coeffs)
+    508         pd_eval(self.right, vars, coeffs)
+    509         self.value = self.left.value * self.right.value + coeffs[self.index]
+
+    [... skipping similar frames: sage.rings.polynomial.polynomial_compiled.pd_eval at line 353 (8 times), sage.rings.polynomial.polynomial_compiled.abc_pd.eval at line 507 (7 times)]
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:507, in sage.rings.polynomial.polynomial_compiled.abc_pd.eval()
+    505 
+    506     cdef int eval(abc_pd self, object vars, object coeffs) except -2:
+--> 507         pd_eval(self.left, vars, coeffs)
+    508         pd_eval(self.right, vars, coeffs)
+    509         self.value = self.left.value * self.right.value + coeffs[self.index]
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:353, in sage.rings.polynomial.polynomial_compiled.pd_eval()
+    351 cdef inline int pd_eval(generic_pd pd, object vars, object coeffs) except -2:
+    352     if pd.value is None:
+--> 353         pd.eval(vars, coeffs)
+    354     pd.hits += 1
+    355 
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:509, in sage.rings.polynomial.polynomial_compiled.abc_pd.eval()
+    507 pd_eval(self.left, vars, coeffs)
+    508 pd_eval(self.right, vars, coeffs)
+--> 509 self.value = self.left.value * self.right.value + coeffs[self.index]
+    510 pd_clean(self.left)
+    511 pd_clean(self.right)
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:1233, in sage.structure.element.Element.__add__()
+   1231 # Left and right are Sage elements => use coercion model
+   1232 if BOTH_ARE_ELEMENT(cl):
+-> 1233     return coercion_model.bin_op(left, right, add)
+   1234 
+   1235 cdef long value
+
+File /ext/sage/9.7/src/sage/structure/coerce.pyx:1200, in sage.structure.coerce.CoercionModel.bin_op()
+   1198 # Now coerce to a common parent and do the operation there
+   1199 try:
+-> 1200     xy = self.canonical_coercion(x, y)
+   1201 except TypeError:
+   1202     self._record_exception()
+
+File /ext/sage/9.7/src/sage/structure/coerce.pyx:1315, in sage.structure.coerce.CoercionModel.canonical_coercion()
+   1313     x_elt = x
+   1314 if y_map is not None:
+-> 1315     y_elt = (<Map>y_map)._call_(y)
+   1316 else:
+   1317     y_elt = y
+
+File /ext/sage/9.7/src/sage/categories/morphism.pyx:601, in sage.categories.morphism.SetMorphism._call_()
+    599         3
+    600     """
+--> 601     return self._function(x)
+    602 
+    603 cpdef Element _call_with_args(self, x, args=(), kwds={}):
+
+File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:919, in sage.rings.laurent_series_ring_element.LaurentSeries._lmul_()
+    917     return type(self)(self._parent, self.__u._rmul_(c), self.__n)
+    918 
+--> 919 cpdef _lmul_(self, Element c):
+    920     return type(self)(self._parent, self.__u._lmul_(c), self.__n)
+    921 
+
+File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:920, in sage.rings.laurent_series_ring_element.LaurentSeries._lmul_()
+    918 
+    919     cpdef _lmul_(self, Element c):
+--> 920         return type(self)(self._parent, self.__u._lmul_(c), self.__n)
+    921 
+    922     def __pow__(_self, r, dummy):
+
+File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:569, in sage.rings.power_series_poly.PowerSeries_poly._lmul_()
+    567         2 + 6*t^4 + O(t^120)
+    568     """
+--> 569     return PowerSeries_poly(self._parent, c * self.__f, self._prec, check=False)
+    570 
+    571 def __lshift__(PowerSeries_poly self, n):
+
+File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:44, in sage.rings.power_series_poly.PowerSeries_poly.__init__()
+     42     ValueError: series has negative valuation
+     43 """
+---> 44 R = parent._poly_ring()
+     45 if isinstance(f, Element):
+     46     if (<Element>f)._parent is R:
+
+File /ext/sage/9.7/src/sage/rings/power_series_ring.py:961, in PowerSeriesRing_generic._poly_ring(self)
+    958         pass
+    959     return False
+--> 961 def _poly_ring(self):
+    962     """
+    963     Return the underlying polynomial ring used to represent elements of
+    964     this power series ring.
+   (...)
+    970         Univariate Polynomial Ring in t over Integer Ring
+    971     """
+    972     return self.__poly_ring
+
+File src/cysignals/signals.pyx:310, in cysignals.signals.python_check_interrupt()
+
+KeyboardInterrupt: 
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l1 1 True True
+3 1 True True
+3 3 False True
+5 1 True True
+5 3 False True
+5 5 True True
+7 1 True True
+7 3 False True
+7 5 True True
+7 7 False True
+9 1 True True
+9 3 False True
+9 5 True True
+9 7 False True
+9 9 True True
+11 1 True True
+11 3 False True
+11 5 True True
+11 7 False True
+11 9 True True
+11 11 False True
+13 1 True True
+13 3 False True
+13 5 True True
+13 7 False True
+13 9 True True
+13 11 False True
+13 13 True True
+15 1 True True
+15 3 False True
+15 5 True True
+15 7 False True
+15 9 True True
+15 11 False True
+15 13 True True
+15 15 False True
+17 1 True True
+17 3 False True
+17 5 True True
+17 7 False True
+17 9 True True
+17 11 False True
+17 13 True True
+17 15 False True
+17 17 True True
+19 1 True True
+19 3 False True
+19 5 True True
+19 7 False True
+19 9 True True
+^C^C
+KeyboardInterrupt
+
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7l('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l1 1 0 0
+3 1 1 1
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+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l5 3 4 2
+9 3 6 4
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+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.branch_points[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7lsage: AS

+[?7h[?12l[?25h[?2004l[?7h(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 2 with the equations:
+z0^2 - z0 = x^19
+z1^2 - z1 = x^11
+
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.branch_points[?7h[?12l[?25h[?25l[?7lgenus()[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7ls()[?7h[?12l[?25h[?25l[?7lsage: AS.genus()

+[?7h[?12l[?25h[?2004l[?7h23
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l13 -1 + 1[?7h[?12l[?25h[?25l[?7l8[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l+[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l5[?7h[?12l[?25h[?25l[?7lsage: 18 + 5

+[?7h[?12l[?25h[?2004l[?7h23
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.genus()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7lsage: AS

+[?7h[?12l[?25h[?2004l[?7h(Z/p)^2-cover of Superelliptic curve with the equation y^1 = x over Finite Field of size 2 with the equations:
+z0^2 - z0 = x^19
+z1^2 - z1 = x^11
+
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.genus()[?7h[?12l[?25h[?25l[?7lz_series[?7h[?12l[?25h[?25l[?7l[0]/AS.x[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[].[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lv[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: AS.z[0].valuation()

+[?7h[?12l[?25h[?2004l[?7h-22
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.z[0].valuation()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7ldx.expnsion(pt=(-1, 0))[?7h[?12l[?25h[?25l[?7le_rham_basis()[?7h[?12l[?25h[?25l[?7l_rham_basis()[?7h[?12l[?25h[?25l[?7lsage: AS.de_rham_basis()

+[?7h[?12l[?25h[?2004lI haven't found all forms, only  18  of  23
+---------------------------------------------------------------------------
+NameError                                 Traceback (most recent call last)
+Input In [11], in <cell line: 1>()
+----> 1 AS.de_rham_basis()
+
+File <string>:389, in de_rham_basis(self, threshold)
+
+File <string>:147, in holomorphic_differentials_basis(self, threshold)
+
+NameError: name 'holomorphic_differentials_basis' is not defined
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.de_rham_basis()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l = as_cover(C, [C.y/C.x], prec = 200, branch_points = [(-1, 0), (1, 0)])[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7las_cover(C, [C.y/C.x], prec = 200, branch_points = [(-1, 0), (1, 0)])[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l(()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l(()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l], prec = 20)[?7h[?12l[?25h[?25l[?7l], prec = 20)[?7h[?12l[?25h[?25l[?7l], prec = 20)[?7h[?12l[?25h[?25l[?7l], prec = 20)[?7h[?12l[?25h[?25l[?7l], prec = 20)[?7h[?12l[?25h[?25l[?7l], prec = 20)[?7h[?12l[?25h[?25l[?7l], prec = 20)[?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7las[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC = superelliptic(x^3 + 1, 2)[?7h[?12l[?25h[?25l[?7lsage: C

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+NameError                                 Traceback (most recent call last)
+Input In [12], in <cell line: 1>()
+----> 1 C
+
+NameError: name 'C' is not defined
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lP[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7lsage: P1

+[?7h[?12l[?25h[?2004l[?7hSuperelliptic curve with the equation y^1 = x over Finite Field of size 2
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lP1[?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7lAS.de_rham_basis()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l = as_cover(C, [C.y/C.x], prec = 200, branch_points = [(-1, 0), (1, 0)])[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7las[?7h[?12l[?25h[?25l[?7las_[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lv[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lP[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()^[?7h[?12l[?25h[?25l[?7l7[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(C.x[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()^[?7h[?12l[?25h[?25l[?7l5[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7lsage: AS = as_cover(P1, [(C.x)^7, (C.x)^5])

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+NameError                                 Traceback (most recent call last)
+Input In [14], in <cell line: 1>()
+----> 1 AS = as_cover(P1, [(C.x)**Integer(7), (C.x)**Integer(5)])
+
+NameError: name 'C' is not defined
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS = as_cover(P1, [(C.x)^7, (C.x)^5])[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS = as_cover(P1, [(C.x)^7, (C.x)^5])[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l.x)^5])[?7h[?12l[?25h[?25l[?7lP.x)^5])[?7h[?12l[?25h[?25l[?7l1.x)^5])[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l.x)^7, (P1.x)^5])[?7h[?12l[?25h[?25l[?7lP.x)^7, (P1.x)^5])[?7h[?12l[?25h[?25l[?7l1.x)^7, (P1.x)^5])[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: AS = as_cover(P1, [(P1.x)^7, (P1.x)^5])

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS = as_cover(P1, [(P1.x)^7, (P1.x)^5])[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.de_rham_basis()[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7l_rham_basis()[?7h[?12l[?25h[?25l[?7lsage: AS.de_rham_basis()

+[?7h[?12l[?25h[?2004lIncrease precision.
+Increase precision.
+---------------------------------------------------------------------------
+IndexError                                Traceback (most recent call last)
+Input In [16], in <cell line: 1>()
+----> 1 AS.de_rham_basis()
+
+File <string>:391, in de_rham_basis(self, threshold)
+
+File <string>:344, in cohomology_of_structure_sheaf_basis(self, threshold)
+
+File <string>:344, in <listcomp>(.0)
+
+File <string>:131, in serre_duality_pairing(self, fct)
+
+File /ext/sage/9.7/src/sage/misc/functional.py:585, in symbolic_sum(expression, *args, **kwds)
+    583     return expression.sum(*args, **kwds)
+    584 elif max(len(args),len(kwds)) <= 1:
+--> 585     return sum(expression, *args, **kwds)
+    586 else:
+    587     from sage.symbolic.ring import SR
+
+File <string>:131, in <genexpr>(.0)
+
+File <string>:124, in residue(self, place)
+
+File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:618, in sage.rings.laurent_series_ring_element.LaurentSeries.residue()
+    616         Integer Ring
+    617     """
+--> 618     return self[-1]
+    619 
+    620 def exponents(self):
+
+File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:544, in sage.rings.laurent_series_ring_element.LaurentSeries.__getitem__()
+    542         return type(self)(self._parent, f, self.__n)
+    543 
+--> 544     return self.__u[i - self.__n]
+    545 
+    546 def __iter__(self):
+
+File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:453, in sage.rings.power_series_poly.PowerSeries_poly.__getitem__()
+    451         return self.base_ring().zero()
+    452     else:
+--> 453         raise IndexError("coefficient not known")
+    454 return self.__f[n]
+    455 
+
+IndexError: coefficient not known
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.de_rham_basis()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l = as_cover(P1, [(P1.x)^7, (P1.x)^5])[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l,)[?7h[?12l[?25h[?25l[?7l )[?7h[?12l[?25h[?25l[?7lp)[?7h[?12l[?25h[?25l[?7lr)[?7h[?12l[?25h[?25l[?7le)[?7h[?12l[?25h[?25l[?7lc)[?7h[?12l[?25h[?25l[?7l )[?7h[?12l[?25h[?25l[?7l-)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l=)[?7h[?12l[?25h[?25l[?7l )[?7h[?12l[?25h[?25l[?7l2)[?7h[?12l[?25h[?25l[?7l0)[?7h[?12l[?25h[?25l[?7l0)[?7h[?12l[?25h[?25l[?7lsage: AS = as_cover(P1, [(P1.x)^7, (P1.x)^5], prec = 200)

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS = as_cover(P1, [(P1.x)^7, (P1.x)^5], prec = 200)[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.de_rham_basis()[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7l_rham_basis()[?7h[?12l[?25h[?25l[?7lsage: AS.de_rham_basis()

+[?7h[?12l[?25h[?2004l[?7h[( (1) * dx, 0 ),
+ ( (z1) * dx, 0 ),
+ ( (z0) * dx, 0 ),
+ ( (x) * dx, 0 ),
+ ( (x*z1) * dx, 0 ),
+ ( (x^2*z1 + x*z0) * dx, 0 ),
+ ( (x^2) * dx, 0 ),
+ ( (x^3) * dx, 0 ),
+ ( (0) * dx, z1/x ),
+ ( (x^5) * dx, z0/x ),
+ ( (x^5*z1 + x^4 + x^3*z0) * dx, z0*z1/x ),
+ ( (x^2) * dx, z1/x^2 ),
+ ( (x^4) * dx, z0/x^2 ),
+ ( (x^4*z1 + x^2*z0) * dx, z0*z1/x^2 ),
+ ( (x^3*z1 + x^2*z1) * dx, z0*z1/x^3 ),
+ ( (x^2*z1 + z0) * dx, z0*z1/x^4 )]
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.de_rham_basis()[?7h[?12l[?25h[?25l[?7l = as_cover(P1, [(P1.x)^7, (P1.x)^5], prec = 200)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l, (P1.x)^5], prec = 20)[?7h[?12l[?25h[?25l[?7l1, (P1.x)^5], prec = 20)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l], prec = 20)[?7h[?12l[?25h[?25l[?7l3], prec = 20)[?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: AS = as_cover(P1, [(P1.x)^1, (P1.x)^3], prec = 200)

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS = as_cover(P1, [(P1.x)^1, (P1.x)^3], prec = 200)[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.de_rham_basis()[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7l_rham_basis()[?7h[?12l[?25h[?25l[?7lsage: AS.de_rham_basis()

+[?7h[?12l[?25h[?2004l[?7h[( (1) * dx, 0 ),
+ ( (z0) * dx, 0 ),
+ ( (x) * dx, z1/x ),
+ ( (x*z0) * dx, z0*z1/x )]
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.de_rham_basis()[?7h[?12l[?25h[?25l[?7l = as_cover(P1, [(P1.x)^1, (P1.x)^3], prec = 200)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l, (P1.x)^3], prec = 20)[?7h[?12l[?25h[?25l[?7l3, (P1.x)^3], prec = 20)[?7h[?12l[?25h[?25l[?7lsage: AS = as_cover(P1, [(P1.x)^3, (P1.x)^3], prec = 200)

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+AttributeError                            Traceback (most recent call last)
+File /ext/sage/9.7/src/sage/structure/element.pyx:1971, in sage.structure.element.Element._mod_()
+   1970 try:
+-> 1971     python_op = (<object>self)._mod_
+   1972 except AttributeError:
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:494, in sage.structure.element.Element.__getattr__()
+    493 """
+--> 494 return self.getattr_from_category(name)
+    495 
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:507, in sage.structure.element.Element.getattr_from_category()
+    506     cls = P._abstract_element_class
+--> 507 return getattr_from_other_class(self, cls, name)
+    508 
+
+File /ext/sage/9.7/src/sage/cpython/getattr.pyx:361, in sage.cpython.getattr.getattr_from_other_class()
+    360     dummy_error_message.name = name
+--> 361     raise AttributeError(dummy_error_message)
+    362 attribute = <object>attr
+
+AttributeError: 'InfinityRing_class_with_category' object has no attribute '__custom_name'
+
+During handling of the above exception, another exception occurred:
+
+TypeError                                 Traceback (most recent call last)
+Input In [21], in <cell line: 1>()
+----> 1 AS = as_cover(P1, [(P1.x)**Integer(3), (P1.x)**Integer(3)], prec = Integer(200))
+
+File <string>:45, in __init__(self, C, list_of_fcts, branch_points, prec)
+
+File <string>:185, in artin_schreier_transform(power_series, prec)
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:1940, in sage.structure.element.Element.__mod__()
+   1938     return (<Element>left)._mod_(right)
+   1939 if BOTH_ARE_ELEMENT(cl):
+-> 1940     return coercion_model.bin_op(left, right, mod)
+   1941 
+   1942 try:
+
+File /ext/sage/9.7/src/sage/structure/coerce.pyx:1204, in sage.structure.coerce.CoercionModel.bin_op()
+   1202     self._record_exception()
+   1203 else:
+-> 1204     return PyObject_CallObject(op, xy)
+   1205 
+   1206 if op is mul:
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:1938, in sage.structure.element.Element.__mod__()
+   1936 cdef int cl = classify_elements(left, right)
+   1937 if HAVE_SAME_PARENT(cl):
+-> 1938     return (<Element>left)._mod_(right)
+   1939 if BOTH_ARE_ELEMENT(cl):
+   1940     return coercion_model.bin_op(left, right, mod)
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:1973, in sage.structure.element.Element._mod_()
+   1971     python_op = (<object>self)._mod_
+   1972 except AttributeError:
+-> 1973     raise bin_op_exception('%', self, other)
+   1974 else:
+   1975     return python_op(other)
+
+TypeError: unsupported operand parent(s) for %: 'The Infinity Ring' and 'The Infinity Ring'
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lF(x, y, z, L) = x/(z^2*x + 2) + y/(x^2*y + 2) + z/(y^2*z + 2) - 1 -  L*x*y*z[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS = as_cover(P1, [(P1.x)^3, (P1.x)^3], prec = 200)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lF(x, y, z, L) = x/(z^2*x + 2) + y/(x^2*y + 2) + z/(y^2*z + 2) - 1 -  L*x*y*z[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lG[?7h[?12l[?25h[?25l[?7lF[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l4[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: F = GF(4)

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lF = GF(4)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l,)[?7h[?12l[?25h[?25l[?7l )[?7h[?12l[?25h[?25l[?7l')[?7h[?12l[?25h[?25l[?7la')[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: F = GF(4, 'a')

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7las_cover.holomorphic_differentials_basis2 = holomorphic_differentials_basis2[?7h[?12l[?25h[?25l[?7l = de_ham_witt_lft(A[2])[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7lF[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lg[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7lsage: a = F.gens()[0]

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7la = F.gens()[0][?7h[?12l[?25h[?25l[?7lFGF(4, 'a')[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7lAS = as_cover(P1, [(P1.x)^3, (P1.x)^3], prec = 200)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l.de_rham_basis()[?7h[?12l[?25h[?25l[?7l = as_cover(P1, [(P1.x)^3, (P1.x)^3], prec = 200)[?7h[?12l[?25h[?25l[?7lF = GF(4)[?7h[?12l[?25h[?25l[?7l, 'a')[?7h[?12l[?25h[?25l[?7laF.gens()[0][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lP1[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lRx.<x> = PolynomialRing(GF(5))[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l.<x> = PolynomialRing(GF(5))[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l(()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7lF)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: Rx.<x> = PolynomialRing(F)

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lRx.<x> = PolynomialRing(F)[?7h[?12l[?25h[?25l[?7la = F.gens()[0][?7h[?12l[?25h[?25l[?7lRx.<x> = PolynomialRing(F)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lP1[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lsuper[?7h[?12l[?25h[?25l[?7lsupere[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: P1 = superelliptic(1, x)

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+TypeError                                 Traceback (most recent call last)
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_element.pyx:2441, in sage.rings.polynomial.polynomial_element.Polynomial.__pow__()
+   2440 try:
+-> 2441     right = Integer(right)
+   2442 except TypeError:
+
+File /ext/sage/9.7/src/sage/rings/integer.pyx:658, in sage.rings.integer.Integer.__init__()
+    657 if otmp is not None:
+--> 658     set_from_Integer(self, otmp(the_integer_ring))
+    659     return
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_element.pyx:1390, in sage.rings.polynomial.polynomial_element.Polynomial._scalar_conversion()
+   1389 if self.degree() > 0:
+-> 1390     raise TypeError("cannot convert nonconstant polynomial")
+   1391 return R(self.get_coeff_c(0))
+
+TypeError: cannot convert nonconstant polynomial
+
+During handling of the above exception, another exception occurred:
+
+TypeError                                 Traceback (most recent call last)
+Input In [26], in <cell line: 1>()
+----> 1 P1 = superelliptic(Integer(1), x)
+
+File <string>:20, in __init__(self, f, m)
+
+File <string>:14, in __init__(self, C, g)
+
+File <string>:223, in reduction(C, g)
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_element.pyx:2443, in sage.rings.polynomial.polynomial_element.Polynomial.__pow__()
+   2441         right = Integer(right)
+   2442     except TypeError:
+-> 2443         raise TypeError("non-integral exponents not supported")
+   2444 
+   2445 d = self.degree()
+
+TypeError: non-integral exponents not supported
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lP1 = superelliptic(1, x)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7lx)[?7h[?12l[?25h[?25l[?7l,)[?7h[?12l[?25h[?25l[?7l )[?7h[?12l[?25h[?25l[?7l1)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: P1 = superelliptic(x, 1)

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lP1 = superelliptic(x, 1)[?7h[?12l[?25h[?25l[?7l1x[?7h[?12l[?25h[?25l[?7lRx.<x> = PoynomalRing(F)[?7h[?12l[?25h[?25l[?7la = F.gens()[0][?7h[?12l[?25h[?25l[?7lFGF(4, 'a')[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7lAS = as_cover(P1, [(P1.x)^3, (P1.x)^3], prec = 200)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7la(P1.x)^3], prec = 20)[?7h[?12l[?25h[?25l[?7l*(P1.x)^3], prec = 20)[?7h[?12l[?25h[?25l[?7lsage: AS = as_cover(P1, [(P1.x)^3, a*(P1.x)^3], prec = 200)

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS = as_cover(P1, [(P1.x)^3, a*(P1.x)^3], prec = 200)[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.de_rham_basis()[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7l_rham_basis()[?7h[?12l[?25h[?25l[?7lsage: AS.de_rham_basis()

+[?7h[?12l[?25h[?2004l/ext/sage/9.7/src/sage/rings/polynomial/polynomial_singular_interface.py:372:
+********************************************************************************
+Denominators of fraction field elements are sometimes dropped without warning.
+This issue is being tracked at https://trac.sagemath.org/sage_trac/ticket/17696.
+********************************************************************************
+[?7h[( (1) * dx, 0 ),
+ ( ((a + 1)*z0 + z1) * dx, 0 ),
+ ( (x) * dx, 0 ),
+ ( (0) * dx, z1/x ),
+ ( (a*x*z0 + x*z1) * dx, z0*z1/x ),
+ ( (a*z0 + z1) * dx, z0*z1/x^2 )]
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.de_rham_basis()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lz[0].valuton()[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[0].valuation()[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[]/[?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l^[?7h[?12l[?25h[?25l[?7l2[?7h[?12l[?25h[?25l[?7lsage: AS.z[1]/AS.x^2

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+KeyError                                  Traceback (most recent call last)
+Input In [30], in <cell line: 1>()
+----> 1 AS.z[Integer(1)]/AS.x**Integer(2)
+
+KeyError: 1
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.z[1]/AS.x^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l)^2[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(AS.x)^2[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: AS.z[1]/(AS.x)^2

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+KeyError                                  Traceback (most recent call last)
+Input In [31], in <cell line: 1>()
+----> 1 AS.z[Integer(1)]/(AS.x)**Integer(2)
+
+KeyError: 1
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.z[1]/(AS.x)^2[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lz[?7h[?12l[?25h[?25l[?7lsage: AS.z

+[?7h[?12l[?25h[?2004l[?7h{0: z1}
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l5 3 4 2
+9 3 6 4
+9 7 7 5
+13 3 8 6
+13 7 9 7
+13 11 10 8
+17 3 10 8
+17 7 11 9
+17 11 12 10
+17 15 13 11
+21 3 12 10
+21 7 13 11
+21 11 14 12
+21 15 15 13
+21 19 16 14
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lAS.z[?7h[?12l[?25h[?25l[?7l[1]/(AS.x)^2[?7h[?12l[?25h[?25l[?7lAS.x^2[?7h[?12l[?25h[?25l[?7lde_rham_basis()[?7h[?12l[?25h[?25l[?7l = as_cover(P1, [(P1.x)^3, a*(P1.x)^3], prec = 200)[?7h[?12l[?25h[?25l[?7lP1superelliptic(x, 1)[?7h[?12l[?25h[?25l[?7l1x[?7h[?12l[?25h[?25l[?7lRx.<x> = PoynomalRing(F)[?7h[?12l[?25h[?25l[?7la = F.gens()[0][?7h[?12l[?25h[?25l[?7lFGF(4, 'a')[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l, 'a')[?7h[?12l[?25h[?25l[?7laF.gens()[0][?7h[?12l[?25h[?25l[?7lRx.<x> = PolynomialRing(F)[?7h[?12l[?25h[?25l[?7lP1 = supereliptc(1, x)[?7h[?12l[?25h[?25l[?7lsage: P1 = superelliptic(1, x)

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+TypeError                                 Traceback (most recent call last)
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_element.pyx:2441, in sage.rings.polynomial.polynomial_element.Polynomial.__pow__()
+   2440 try:
+-> 2441     right = Integer(right)
+   2442 except TypeError:
+
+File /ext/sage/9.7/src/sage/rings/integer.pyx:658, in sage.rings.integer.Integer.__init__()
+    657 if otmp is not None:
+--> 658     set_from_Integer(self, otmp(the_integer_ring))
+    659     return
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_element.pyx:1390, in sage.rings.polynomial.polynomial_element.Polynomial._scalar_conversion()
+   1389 if self.degree() > 0:
+-> 1390     raise TypeError("cannot convert nonconstant polynomial")
+   1391 return R(self.get_coeff_c(0))
+
+TypeError: cannot convert nonconstant polynomial
+
+During handling of the above exception, another exception occurred:
+
+TypeError                                 Traceback (most recent call last)
+Input In [34], in <cell line: 1>()
+----> 1 P1 = superelliptic(Integer(1), x)
+
+File <string>:20, in __init__(self, f, m)
+
+File <string>:14, in __init__(self, C, g)
+
+File <string>:223, in reduction(C, g)
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_element.pyx:2443, in sage.rings.polynomial.polynomial_element.Polynomial.__pow__()
+   2441         right = Integer(right)
+   2442     except TypeError:
+-> 2443         raise TypeError("non-integral exponents not supported")
+   2444 
+   2445 d = self.degree()
+
+TypeError: non-integral exponents not supported
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lP1 = superelliptic(1, x)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7lx)[?7h[?12l[?25h[?25l[?7l,)[?7h[?12l[?25h[?25l[?7l )[?7h[?12l[?25h[?25l[?7l1)[?7h[?12l[?25h[?25l[?7lsage: P1 = superelliptic(x, 1)

+[?7h[?12l[?25h[?2004l'[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l'[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lP1 = superelliptic(x, 1)[?7h[?12l[?25h[?25l[?7l1x[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lAS.z[?7h[?12l[?25h[?25l[?7l[1]/(AS.x)^2[?7h[?12l[?25h[?25l[?7lAS.x^2[?7h[?12l[?25h[?25l[?7lde_rham_basis()[?7h[?12l[?25h[?25l[?7l = as_cover(P1, [(P1.x)^3, a*(P1.x)^3], prec = 200)[?7h[?12l[?25h[?25l[?7lsage: AS = as_cover(P1, [(P1.x)^3, a*(P1.x)^3], prec = 200)

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS = as_cover(P1, [(P1.x)^3, a*(P1.x)^3], prec = 200)[?7h[?12l[?25h[?25l[?7lP1superelliptic(x, 1)[?7h[?12l[?25h[?25l[?7l1x[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lAS.z[?7h[?12l[?25h[?25l[?7l[1]/(AS.x)^2[?7h[?12l[?25h[?25l[?7lsage: AS.z[1]/(AS.x)^2

+[?7h[?12l[?25h[?2004l[?7hz1/x^2
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.z[1]/(AS.x)^2[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(AS.z[1]/(AS.x)^2)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l().[?7h[?12l[?25h[?25l[?7lv[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7lio[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: (AS.z[1]/(AS.x)^2).valuation()

+[?7h[?12l[?25h[?2004l[?7h2
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.z[1]/(AS.x)^2[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lde_rham_basis()[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7l_rham_basis()[?7h[?12l[?25h[?25l[?7lsage: AS.de_rham_basis()

+[?7h[?12l[?25h[?2004l[?7h[( (1) * dx, 0 ),
+ ( ((a + 1)*z0 + z1) * dx, 0 ),
+ ( (x) * dx, 0 ),
+ ( (0) * dx, z1/x ),
+ ( (a*x*z0 + x*z1) * dx, z0*z1/x ),
+ ( (a*z0 + z1) * dx, z0*z1/x^2 )]
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.de_rham_basis()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lgnus()[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lggg = [a for a in lll if a.form != 0][?7h[?12l[?25h[?25l[?7lroup_actin_matrices_dR(AS)[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lction_matrices_dR(AS)[?7h[?12l[?25h[?25l[?7lsage: group_action_matrices_dR(AS)

+[?7h[?12l[?25h[?2004l[?7h[
+[    1 a + 1     0     0     0     a]  [1 1 0 0 0 1]
+[    0     1     0     0     0     0]  [0 1 0 0 0 0]
+[    0     0     1     0     a     0]  [0 0 1 0 1 0]
+[    0     0     0     1     1     0]  [0 0 0 1 a 0]
+[    0     0     0     0     1     0]  [0 0 0 0 1 0]
+[    0     0     0     0     0     1], [0 0 0 0 0 1]
+]
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.de_rham_basis()[?7h[?12l[?25h[?25l[?7l, B = group_action_matrices_dR(AS)[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7lB = group_action_matrices_dR(AS)[?7h[?12l[?25h[?25l[?7lsage: A, B = group_action_matrices_dR(AS)

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lminimize(F, [4,3,2,1], algorithm='ncg', avextol=10^(-30) , maxiter =10000 )[?7h[?12l[?25h[?25l[?7lagmathis(A, B)[?7h[?12l[?25h[?25l[?7lgmathis(A, B)[?7h[?12l[?25h[?25l[?7lsage: magmathis(A, B)

+[?7h[?12l[?25h[?2004l[?7h[
+RModule of dimension 3 over GF(2^2),
+RModule of dimension 3 over GF(2^2)
+]
+{
+[  1 a^2   a]
+[  0   1   0]
+[  0   0   1],
+[  1   1   0]
+[  0   1   0]
+[  0   0   1]
+}
+{
+[  1   0   1]
+[  0   1   a]
+[  0   0   1],
+[  1   0   a]
+[  0   1   1]
+[  0   0   1]
+}
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: 

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lsage: 

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lsage: 

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lsage: 

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lmagmathis(A, B)[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lgmathis(A, B)[?7h[?12l[?25h[?25l[?7lsage: magmathis(A, B)

+[?7h[?12l[?25h[?2004l[?7h[
+RModule of dimension 3 over GF(2^2),
+RModule of dimension 3 over GF(2^2)
+]
+{
+[  1   0 a^2]
+[  0   1   1]
+[  0   0   1],
+[  1   0   a]
+[  0   1   a]
+[  0   0   1]
+}
+{
+[  1   1   a]
+[  0   1   0]
+[  0   0   1],
+[  1 a^2 a^2]
+[  0   1   0]
+[  0   0   1]
+}
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lmagmathis(A, B)[?7h[?12l[?25h[?25l[?7lsage: magmathis(A, B)

+[?7h[?12l[?25h[?2004l[?7h[
+RModule of dimension 3 over GF(2^2),
+RModule of dimension 3 over GF(2^2)
+]
+{
+[  1   0 a^2]
+[  0   1   1]
+[  0   0   1],
+[  1   0   a]
+[  0   1   a]
+[  0   0   1]
+}
+{
+[  1 a^2   1]
+[  0   1   0]
+[  0   0   1],
+[  1   1   1]
+[  0   1   0]
+[  0   0   1]
+}
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(AS.z[1]/(AS.x)^2).valuation()[?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l-[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lid[?7h[?12l[?25h[?25l[?7lide[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7ly[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l()^[?7h[?12l[?25h[?25l[?7l3[?7h[?12l[?25h[?25l[?7l3.[?7h[?12l[?25h[?25l[?7lk[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l6))^3.kernel()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: (A - identity_matrix(6))^3.kernel()

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+AttributeError                            Traceback (most recent call last)
+Input In [45], in <cell line: 1>()
+----> 1 (A - identity_matrix(Integer(6)))**Integer(3).kernel()
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:494, in sage.structure.element.Element.__getattr__()
+    492         AttributeError: 'LeftZeroSemigroup_with_category.element_class' object has no attribute 'blah_blah'
+    493     """
+--> 494     return self.getattr_from_category(name)
+    495 
+    496 cdef getattr_from_category(self, name):
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:507, in sage.structure.element.Element.getattr_from_category()
+    505     else:
+    506         cls = P._abstract_element_class
+--> 507     return getattr_from_other_class(self, cls, name)
+    508 
+    509 def __dir__(self):
+
+File /ext/sage/9.7/src/sage/cpython/getattr.pyx:361, in sage.cpython.getattr.getattr_from_other_class()
+    359     dummy_error_message.cls = type(self)
+    360     dummy_error_message.name = name
+--> 361     raise AttributeError(dummy_error_message)
+    362 attribute = <object>attr
+    363 # Check for a descriptor (__get__ in Python)
+
+AttributeError: 'sage.rings.integer.Integer' object has no attribute 'kernel'
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(A - identity_matrix(6))^3.kernel()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l3).kernel()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l((A - identity_matrix(6))^3).kernel()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: ((A - identity_matrix(6))^3).kernel()

+[?7h[?12l[?25h[?2004l[?7hVector space of degree 6 and dimension 6 over Finite Field in a of size 2^2
+Basis matrix:
+[1 0 0 0 0 0]
+[0 1 0 0 0 0]
+[0 0 1 0 0 0]
+[0 0 0 1 0 0]
+[0 0 0 0 1 0]
+[0 0 0 0 0 1]
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l((A - identity_matrix(6))^3).kernel()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l).kernel()[?7h[?12l[?25h[?25l[?7l2).kernel()[?7h[?12l[?25h[?25l[?7lsage: ((A - identity_matrix(6))^2).kernel()

+[?7h[?12l[?25h[?2004l[?7hVector space of degree 6 and dimension 6 over Finite Field in a of size 2^2
+Basis matrix:
+[1 0 0 0 0 0]
+[0 1 0 0 0 0]
+[0 0 1 0 0 0]
+[0 0 0 1 0 0]
+[0 0 0 0 1 0]
+[0 0 0 0 0 1]
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lmagmathis(A, B)[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lg[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7lathis(A, B)[?7h[?12l[?25h[?25l[?7lsage: magmathis(A, B)

+[?7h[?12l[?25h[?2004l[?7h[
+RModule of dimension 3 over GF(2^2),
+RModule of dimension 3 over GF(2^2)
+]
+{
+[  1 a^2   a]
+[  0   1   0]
+[  0   0   1],
+[  1   1   a]
+[  0   1   0]
+[  0   0   1]
+}
+{
+[  1   0 a^2]
+[  0   1   1]
+[  0   0   1],
+[  1   0   a]
+[  0   1   a]
+[  0   0   1]
+}
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: import itertools

+....: pr = [F for _ in range(6)]

+....: for v1 in product(*pr):

+....:     if A*v1 == v1 and B*v1 == v1:

+....: ^I^Ifor v2 in product(*pr):

+....: ^I^I    if A*v2 == v2 and B*v2 == v2:

+....: ^I^I^I    for v3 in product(*pr):

+....: ^I^I^I^I    if A*v3 == v3 + v2 + a^2*v1 and B*v3 == v3 + a*v2 + a*v1:

+....: ^I^I^I^I^I    print(v1, v2, v3)[?7h[?12l[?25h[?25l[?7lsage: import itertools

+....: pr = [F for _ in range(6)]

+....: for v1 in product(*pr):

+....:     if A*v1 == v1 and B*v1 == v1:

+....: ^I^Ifor v2 in product(*pr):

+....: ^I^I    if A*v2 == v2 and B*v2 == v2:

+....: ^I^I^I    for v3 in product(*pr):

+....: ^I^I^I^I    if A*v3 == v3 + v2 + a^2*v1 and B*v3 == v3 + a*v2 + a*v1:

+....: ^I^I^I^I^I    print(v1, v2, v3)

+[?7h[?12l[?25h[?2004l  Input In [49]
+    for v2 in product(*pr):
+    ^
+TabError: inconsistent use of tabs and spaces in indentation
+
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: import itertools

+....: pr = [F for _ in range(6)]

+....: for v1 in product(*pr):

+....:     if A*v1 == v1 and B*v1 == v1:

+....: ^I^Ifor v2 in product(*pr):

+....: ^I^I    if A*v2 == v2 and B*v2 == v2:

+....: ^I^I^I    for v3 in product(*pr):

+....: ^I^I^I^I    if A*v3 == v3 + v2 + a^2*v1 and B*v3 == v3 + a*v2 + a*v1:

+....: ^I^I^I^I^I    print(v1, v2, v3)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l  print(v1, v2, v3)[?7h[?12l[?25h[?25l[?7l    print(v1, v2, v3)[?7h[?12l[?25h[?25l[?7l  print(v1, v2, v3)[?7h[?12l[?25h[?25l[?7lprint(v1, 23)[?7h[?12l[?25h[?25l[?7l p

+rint(v1, v2, v3)[?7h[?12l[?25h[?25l[?7l p
r

+int(v1, v2, v3)[?7h[?12l[?25h[?25l[?7l pr
i

+nt(v1, v2, v3)[?7h[?12l[?25h[?25l[?7l pri
n

+t(v1, v2, v3)[?7h[?12l[?25h[?25l[?7l prin
t

+(v1, v2, v3)[?7h[?12l[?25h[?25l[?7lprint
(

+v1, v2, v3)[?7h[?12l[?25h[?25l[?7l print(
v

+1, v2, v3)[?7h[?12l[?25h[?25l[?7lprint(v
1

+, v2, v3)[?7h[?12l[?25h[?25l[?7l print(v1
,

+ v2, v3)[?7h[?12l[?25h[?25l[?7l print(v1,


+v2, v3)[?7h[?12l[?25h[?25l[?7l print(v1, 
v

+2, v3)[?7h[?12l[?25h[?25l[?7l print(v1, v
2

+, v3)[?7h[?12l[?25h[?7h[?2004l
+[1]+  Stopped                 sage
+]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ sage
+┌────────────────────────────────────────────────────────────────────┐
+│ SageMath version 9.7, Release Date: 2022-09-19                     │
+│ Using Python 3.10.5. Type "help()" for help.                       │
+└────────────────────────────────────────────────────────────────────┘
+]0;IPython: DeRhamComputation/sage[?2004h[?1l[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lsage: 

+ [?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l5 3 4 2
+9 3 6 4
+9 7 7 5
+13 3 8 6
+13 7 9 7
+13 11 10 8
+17 3 10 8
+17 7 11 9
+17 11 12 10
+17 15 13 11
+21 3 12 10
+21 7 13 11
+21 11 14 12
+21 15 15 13
+21 19 16 14
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: import itertools

+....: pr = [F for _ in range(6)]

+....: for v1 in product(*pr):

+....:     if A*v1 == v1 and B*v1 == v1:

+....: ^I^Ifor v2 in product(*pr):

+....: ^I^I    if A*v2 == v2 and B*v2 == v2:

+....: ^I^I^I    for v3 in product(*pr):

+....: ^I^I^I^I    if A*v3 == v3 + v2 + a^2*v1 and B*v3 == v3 + a*v2 + a*v1:

+....: ^I^I^I^I^I    print(v1, v2, v3)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7lmagmathis(A, B)

+ 

+ 

+ 

+ 

+ 

+ 

+ 

+ [?7h[?12l[?25h[?25l[?7l((A - identity_matrix(6))^2).kernel()[?7h[?12l[?25h[?25l[?7l3[?7h[?12l[?25h[?25l[?7lA - identity_matrix(6)^3.kernel()[?7h[?12l[?25h[?25l[?7lmagmathis(A, B)[?7h[?12l[?25h[?25l[?7lA, B = group_action_matrices_dR(AS)[?7h[?12l[?25h[?25l[?7lgroup_actionmarices_dR(AS)[?7h[?12l[?25h[?25l[?7lAS.derham_basis()[?7h[?12l[?25h[?25l[?7l(AS.z[1]/(AS.x)^2).valuation()[?7h[?12l[?25h[?25l[?7lAS.z[1]/(AS.x)^2[?7h[?12l[?25h[?25l[?7l = as_cover(P1, [(P1.x)^3, a*(P1.x)^3], prec = 200)[?7h[?12l[?25h[?25l[?7lP1superelliptic(x, 1)[?7h[?12l[?25h[?25l[?7l1x[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lAS.z[?7h[?12l[?25h[?25l[?7l[1]/(AS.x)^2[?7h[?12l[?25h[?25l[?7lAS.x^2[?7h[?12l[?25h[?25l[?7lde_rham_basis()[?7h[?12l[?25h[?25l[?7l = as_cover(P1, [(P1.x)^3, a*(P1.x)^3], prec = 200)[?7h[?12l[?25h[?25l[?7lP1superelliptic(x, 1)[?7h[?12l[?25h[?25l[?7l1x[?7h[?12l[?25h[?25l[?7lRx.<x> = PoynomalRing(F)[?7h[?12l[?25h[?25l[?7la = F.gens()[0][?7h[?12l[?25h[?25l[?7lFGF(4, 'a')[?7h[?12l[?25h[?25l[?7lsage: F = GF(4, 'a')

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lsage: 

+

+

+

+

+

+

+ [?7h[?12l[?25h[?25l[?7lF = GF(4, 'a')[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7limport itertools

+....: pr = [F for _ in range(6)]

+....: for v1 in product(*pr):

+....:     if A*v1 == v1 and B*v1 == v1:

+....: ^I^Ifor v2 in product(*pr):

+....: ^I^I    if A*v2 == v2 and B*v2 == v2:

+....: ^I^I^I    for v3 in product(*pr):

+....: ^I^I^I^I    if A*v3 == v3 + v2 + a^2*v1 and B*v3 == v3 + a*v2 + a*v1:

+....: ^I^I^I^I^I    print(v1, v2, v3)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7lmagmathis(A, B)

+ 

+ 

+ 

+ 

+ 

+ 

+ 

+ [?7h[?12l[?25h[?25l[?7l((A - identity_matrix(6))^2).kernel()[?7h[?12l[?25h[?25l[?7l3[?7h[?12l[?25h[?25l[?7lA - identity_matrix(6)^3.kernel()[?7h[?12l[?25h[?25l[?7lmagmathis(A, B)[?7h[?12l[?25h[?25l[?7lA, B = group_action_matrices_dR(AS)[?7h[?12l[?25h[?25l[?7lgroup_actionmarices_dR(AS)[?7h[?12l[?25h[?25l[?7lAS.derham_basis()[?7h[?12l[?25h[?25l[?7l(AS.z[1]/(AS.x)^2).valuation()[?7h[?12l[?25h[?25l[?7lAS.z[1]/(AS.x)^2[?7h[?12l[?25h[?25l[?7l = as_cover(P1, [(P1.x)^3, a*(P1.x)^3], prec = 200)[?7h[?12l[?25h[?25l[?7lP1superelliptic(x, 1)[?7h[?12l[?25h[?25l[?7l1x[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lAS.z[?7h[?12l[?25h[?25l[?7l[1]/(AS.x)^2[?7h[?12l[?25h[?25l[?7lAS.x^2[?7h[?12l[?25h[?25l[?7lde_rham_basis()[?7h[?12l[?25h[?25l[?7l = as_cover(P1, [(P1.x)^3, a*(P1.x)^3], prec = 200)[?7h[?12l[?25h[?25l[?7lP1superelliptic(x, 1)[?7h[?12l[?25h[?25l[?7l1x[?7h[?12l[?25h[?25l[?7lRx.<x> = PoynomalRing(F)[?7h[?12l[?25h[?25l[?7lsage: Rx.<x> = PolynomialRing(F)

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lsage: 

+

+

+

+

+

+

+ [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lRx.<x> = PolynomialRing(F)[?7h[?12l[?25h[?25l[?7lF = GF(4, 'a')[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7limport itertools

+....: pr = [F for _ in range(6)]

+....: for v1 in product(*pr):

+....:     if A*v1 == v1 and B*v1 == v1:

+....: ^I^Ifor v2 in product(*pr):

+....: ^I^I    if A*v2 == v2 and B*v2 == v2:

+....: ^I^I^I    for v3 in product(*pr):

+....: ^I^I^I^I    if A*v3 == v3 + v2 + a^2*v1 and B*v3 == v3 + a*v2 + a*v1:

+....: ^I^I^I^I^I    print(v1, v2, v3)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7lmagmathis(A, B)

+ 

+ 

+ 

+ 

+ 

+ 

+ 

+ [?7h[?12l[?25h[?25l[?7l((A - identity_matrix(6))^2).kernel()[?7h[?12l[?25h[?25l[?7l3[?7h[?12l[?25h[?25l[?7lA - identity_matrix(6)^3.kernel()[?7h[?12l[?25h[?25l[?7lmagmathis(A, B)[?7h[?12l[?25h[?25l[?7lA, B = group_action_matrices_dR(AS)[?7h[?12l[?25h[?25l[?7lgroup_actionmarices_dR(AS)[?7h[?12l[?25h[?25l[?7lAS.derham_basis()[?7h[?12l[?25h[?25l[?7l(AS.z[1]/(AS.x)^2).valuation()[?7h[?12l[?25h[?25l[?7lAS.z[1]/(AS.x)^2[?7h[?12l[?25h[?25l[?7l = as_cover(P1, [(P1.x)^3, a*(P1.x)^3], prec = 200)[?7h[?12l[?25h[?25l[?7lsage: AS = as_cover(P1, [(P1.x)^3, a*(P1.x)^3], prec = 200)

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+NameError                                 Traceback (most recent call last)
+Input In [4], in <cell line: 1>()
+----> 1 AS = as_cover(P1, [(P1.x)**Integer(3), a*(P1.x)**Integer(3)], prec = Integer(200))
+
+NameError: name 'P1' is not defined
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lP1 = superelliptic(x, 1)[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l = superelliptic(x, 1)[?7h[?12l[?25h[?25l[?7lsage: P1 = superelliptic(x, 1)

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lP1 = superelliptic(x, 1)[?7h[?12l[?25h[?25l[?7lASas_cover(P1, [(P1.x)^3, a*(P1.x)^3], prec = 200)[?7h[?12l[?25h[?25l[?7lsage: AS = as_cover(P1, [(P1.x)^3, a*(P1.x)^3], prec = 200)

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+NameError                                 Traceback (most recent call last)
+Input In [6], in <cell line: 1>()
+----> 1 AS = as_cover(P1, [(P1.x)**Integer(3), a*(P1.x)**Integer(3)], prec = Integer(200))
+
+NameError: name 'a' is not defined
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7la = F.gens()[0][?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7lF[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lgens()[0][?7h[?12l[?25h[?25l[?7lsage: a = F.gens()[0]

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7la = F.gens()[0][?7h[?12l[?25h[?25l[?7lAS = as_cover(P1, [(P1.x)^3, a*(P1.x)^3], prec = 200)[?7h[?12l[?25h[?25l[?7lsage: AS = as_cover(P1, [(P1.x)^3, a*(P1.x)^3], prec = 200)

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS = as_cover(P1, [(P1.x)^3, a*(P1.x)^3], prec = 200)[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS = as_cover(P1, [(P1.x)^3, a*(P1.x)^3], prec = 200)[?7h[?12l[?25h[?25l[?7l,B= grup_action_matrices_dRAS)[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7lB = group_action_matrices_dR(AS)[?7h[?12l[?25h[?25l[?7lsage: A, B = group_action_matrices_dR(AS)

+[?7h[?12l[?25h[?2004l/ext/sage/9.7/src/sage/rings/polynomial/polynomial_singular_interface.py:372:
+********************************************************************************
+Denominators of fraction field elements are sometimes dropped without warning.
+This issue is being tracked at https://trac.sagemath.org/sage_trac/ticket/17696.
+********************************************************************************
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA, B = group_action_matrices_dR(AS)[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7lB[?7h[?12l[?25h[?25l[?7lsage: A, B

+[?7h[?12l[?25h[?2004l[?7h(
+[    1 a + 1     0     0     0     a]  [1 1 0 0 0 1]
+[    0     1     0     0     0     0]  [0 1 0 0 0 0]
+[    0     0     1     0     a     0]  [0 0 1 0 1 0]
+[    0     0     0     1     1     0]  [0 0 0 1 a 0]
+[    0     0     0     0     1     0]  [0 0 0 0 1 0]
+[    0     0     0     0     0     1], [0 0 0 0 0 1]
+)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: import itertools

+....: pr = [F for _ in range(6)]

+....: for v1 in product(*pr):

+....:     if A*v1 == v1 and B*v1 == v1:

+....:         for v2 in product(*pr):

+....:             if A*v2 == v2 and B*v2 == v2:

+....:                 for v3 in product(*pr):

+....:                     if A*v3 == v3 + v2 + a^2*v1 and B*v3 == v3 + a*v2 + 
a

+....: *v1:

+....:                         print(v1, v2, v3)[?7h[?12l[?25h[?25l[?7l....:                         print(v1, v2, v3)

+....: [?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: import itertools

+....: pr = [F for _ in range(6)]

+....: for v1 in product(*pr):

+....:     if A*v1 == v1 and B*v1 == v1:

+....:         for v2 in product(*pr):

+....:             if A*v2 == v2 and B*v2 == v2:

+....:                 for v3 in product(*pr):

+....:                     if A*v3 == v3 + v2 + a^2*v1 and B*v3 == v3 + a*v2 + a*v1:

+....:                         print(v1, v2, v3)

+....: [?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: import itertools

+....: pr = [F for _ in range(6)]

+....: for v1 in product(*pr):

+....:     if A*v1 == v1 and B*v1 == v1:

+....:         for v2 in product(*pr):

+....:             if A*v2 == v2 and B*v2 == v2:

+....:                 for v3 in product(*pr):

+....:                     if A*v3 == v3 + v2 + a^2*v1 and B*v3 == v3 + a*v2 + a*v1:

+....:                         print(v1, v2, v3)

+....: [?7h[?12l[?25h[?25l[?7l....: 

+ [?7h[?12l[?25h[?25l[?7lsage: import itertools

+....: pr = [F for _ in range(6)]

+....: for v1 in product(*pr):

+....:     if A*v1 == v1 and B*v1 == v1:

+....:         for v2 in product(*pr):

+....:             if A*v2 == v2 and B*v2 == v2:

+....:                 for v3 in product(*pr):

+....:                     if A*v3 == v3 + v2 + a^2*v1 and B*v3 == v3 + a*v2 + a*v1:

+....:                         print(v1, v2, v3)

+....: 

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+TypeError                                 Traceback (most recent call last)
+Input In [11], in <cell line: 3>()
+      1 import itertools
+      2 pr = [F for _ in range(Integer(6))]
+----> 3 for v1 in product(*pr):
+      4     if A*v1 == v1 and B*v1 == v1:
+      5         for v2 in product(*pr):
+
+File /ext/sage/9.7/src/sage/misc/functional.py:639, in symbolic_prod(expression, *args, **kwds)
+    637 from .misc_c import prod as c_prod
+    638 if hasattr(expression, 'prod'):
+--> 639     return expression.prod(*args, **kwds)
+    640 elif len(args) <= 1:
+    641     return c_prod(expression, *args)
+
+TypeError: Monoids.ParentMethods.prod() takes 2 positional arguments but 6 were given
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: import itertools.product as product

+....: pr = [F for _ in range(6)]

+....: for v1 in product(*pr):

+....:     if A*v1 == v1 and B*v1 == v1:

+....:         for v2 in product(*pr):

+....:             if A*v2 == v2 and B*v2 == v2:

+....:                 for v3 in product(*pr):

+....:                     if A*v3 == v3 + v2 + a^2*v1 and B*v3 == v3 + a*v2 + a*v1:

+....:                         print(v1, v2, v3)[?7h[?12l[?25h[?25l[?7l....:                         print(v1, v2, v3)

+....: [?7h[?12l[?25h[?25l[?7lsage: import itertools.product as product

+....: pr = [F for _ in range(6)]

+....: for v1 in product(*pr):

+....:     if A*v1 == v1 and B*v1 == v1:

+....:         for v2 in product(*pr):

+....:             if A*v2 == v2 and B*v2 == v2:

+....:                 for v3 in product(*pr):

+....:                     if A*v3 == v3 + v2 + a^2*v1 and B*v3 == v3 + a*v2 + a*v1:

+....:                         print(v1, v2, v3)

+....: 

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+ModuleNotFoundError                       Traceback (most recent call last)
+Input In [12], in <cell line: 1>()
+----> 1 import itertools.product as product
+      2 pr = [F for _ in range(Integer(6))]
+      3 for v1 in product(*pr):
+
+ModuleNotFoundError: No module named 'itertools.product'; 'itertools' is not a package
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: from itertools import product

+....: pr = [F for _ in range(6)]

+....: for v1 in product(*pr):

+....:     if A*v1 == v1 and B*v1 == v1:

+....:         for v2 in product(*pr):

+....:             if A*v2 == v2 and B*v2 == v2:

+....:                 for v3 in product(*pr):

+....:                     if A*v3 == v3 + v2 + a^2*v1 and B*v3 == v3 + a*v2 + a*v1:

+....:                         print(v1, v2, v3)[?7h[?12l[?25h[?25l[?7l....:                         print(v1, v2, v3)

+....: [?7h[?12l[?25h[?25l[?7lsage: from itertools import product

+....: pr = [F for _ in range(6)]

+....: for v1 in product(*pr):

+....:     if A*v1 == v1 and B*v1 == v1:

+....:         for v2 in product(*pr):

+....:             if A*v2 == v2 and B*v2 == v2:

+....:                 for v3 in product(*pr):

+....:                     if A*v3 == v3 + v2 + a^2*v1 and B*v3 == v3 + a*v2 + a*v1:

+....:                         print(v1, v2, v3)

+....: 

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+TypeError                                 Traceback (most recent call last)
+Input In [13], in <cell line: 3>()
+      2 pr = [F for _ in range(Integer(6))]
+      3 for v1 in product(*pr):
+----> 4     if A*v1 == v1 and B*v1 == v1:
+      5         for v2 in product(*pr):
+      6             if A*v2 == v2 and B*v2 == v2:
+
+TypeError: can't multiply sequence by non-int of type 'sage.matrix.matrix_gf2e_dense.Matrix_gf2e_dense'
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lconvert_super_fct_into_AS(a.f)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lvar('x, y, z, L')[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7lsage: v1

+[?7h[?12l[?25h[?2004l[?7h(0, 0, 0, 0, 0, 0)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA, B[?7h[?12l[?25h[?25l[?7l*[?7h[?12l[?25h[?25l[?7lv[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7lsage: A*v1

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+TypeError                                 Traceback (most recent call last)
+Input In [15], in <cell line: 1>()
+----> 1 A*v1
+
+TypeError: can't multiply sequence by non-int of type 'sage.matrix.matrix_gf2e_dense.Matrix_gf2e_dense'
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA*v1[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lv1[?7h[?12l[?25h[?25l[?7lev1[?7h[?12l[?25h[?25l[?7lcv1[?7h[?12l[?25h[?25l[?7ltv1[?7h[?12l[?25h[?25l[?7lov1[?7h[?12l[?25h[?25l[?7lrv1[?7h[?12l[?25h[?25l[?7l(v1[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: A*vector(v1)

+[?7h[?12l[?25h[?2004l[?7h(0, 0, 0, 0, 0, 0)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: from itertools import product

+....: pr = [F for _ in range(6)]

+....: for v1 in product(*pr):

+....:     if A*vector(v1) == v1 and B*vector(v1) == v1:

+....:         for v2 in product(*pr):

+....:             if A*vector(v2) == v2 and B*vector(v2) == v2:

+....:                 for v3 in product(*pr):

+....:                     if A*vector(v3) == v3 + v2 + a^2*v1 and B*vector(v3) == v3 + A*vector(v2) + A*vector(v1):

+....:                         print(v1, v2, v3)[?7h[?12l[?25h[?25l[?7l....:                         print(v1, v2, v3)

+....: [?7h[?12l[?25h[?25l[?7lsage: from itertools import product

+....: pr = [F for _ in range(6)]

+....: for v1 in product(*pr):

+....:     if A*vector(v1) == v1 and B*vector(v1) == v1:

+....:         for v2 in product(*pr):

+....:             if A*vector(v2) == v2 and B*vector(v2) == v2:

+....:                 for v3 in product(*pr):

+....:                     if A*vector(v3) == v3 + v2 + a^2*v1 and B*vector(v3) == v3 + A*vector(v2) + A*vector(v1):

+....:                         print(v1, v2, v3)

+....: 

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: from itertools import product

+....: pr = [F for _ in range(6)]

+....: for v1 in product(*pr):

+....:     if A*vector(v1) == v1 and B*vector(v1) == v1:

+....:         for v2 in product(*pr):

+....:             if A*vector(v2) == v2 and B*vector(v2) == v2:

+....:                 for v3 in product(*pr):

+....:                     if A*vector(v3) == v3 + v2 + a^2*v1 and B*vector(v3) == v3 + A*vector(v2) + A*vector(v1):

+....:                         print(v1, v2, v3)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l*vector(v2) + A*vector(v1):[?7h[?12l[?25h[?25l[?7la*vector(v2) + A*vector(v1):[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l*vector(v1):[?7h[?12l[?25h[?25l[?7la*vector(v1):[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l

+()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l....:                         print(v1, v2, v3)

+....: [?7h[?12l[?25h[?25l[?7lsage: from itertools import product

+....: pr = [F for _ in range(6)]

+....: for v1 in product(*pr):

+....:     if A*vector(v1) == v1 and B*vector(v1) == v1:

+....:         for v2 in product(*pr):

+....:             if A*vector(v2) == v2 and B*vector(v2) == v2:

+....:                 for v3 in product(*pr):

+....:                     if A*vector(v3) == v3 + v2 + a^2*v1 and B*vector(v3) == v3 + a*vector(v2) + a*vector(v1):

+....:                         print(v1, v2, v3)

+....: 

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: from itertools import product

+....: pr = [F for _ in range(6)]

+....: for v1 in product(*pr):

+....:     if A*vector(v1) == v1 and B*vector(v1) == v1:

+....:         for v2 in product(*pr):

+....:             if A*vector(v2) == v2 and B*vector(v2) == v2:

+....:                 for v3 in product(*pr):

+....:                     if A*vector(v3) == v3 + v2 + a^2*v1 and B*vector(v3) == v3 + a*vector(v2) + a*vector(v1):

+....:                         print(v1, v2, v3)[?7h[?12l[?25h[?25l[?7l....:                         print(v1, v2, v3)

+....: [?7h[?12l[?25h[?25l[?7lsage: from itertools import product

+....: pr = [F for _ in range(6)]

+....: for v1 in product(*pr):

+....:     if A*vector(v1) == v1 and B*vector(v1) == v1:

+....:         for v2 in product(*pr):

+....:             if A*vector(v2) == v2 and B*vector(v2) == v2:

+....:                 for v3 in product(*pr):

+....:                     if A*vector(v3) == v3 + v2 + a^2*v1 and B*vector(v3) == v3 + a*vector(v2) + a*vector(v1):

+....:                         print(v1, v2, v3)

+....: 

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: from itertools import product

+....: pr = [F for _ in range(6)]

+....: for v1 in product(*pr):

+....:     if A*vector(v1) == v1 and B*vector(v1) == v1:

+....:         for v2 in product(*pr):

+....:             if A*vector(v2) == v2 and B*vector(v2) == v2:

+....:                 for v3 in product(*pr):

+....:                     if A*vector(v3) == v3 + v2 + a^2*v1 and B*vector(v3) == v3 + a*vector(v2) + a*vector(v1):

+....:                         print(v1, v2, v3)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l

+[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l

+

+forv3in product(*pr):

+....:                     if A*vector(v3) == v3 + v2 + a^2*v1 and B*vector(v3) == v3 + a*vector(v2) + a*vector(v1):

+....:                         print(v1, v2, v3)[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lprint[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lv[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lv[?7h[?12l[?25h[?25l[?7l2[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()

+

+forv3in product(*pr):

+....:                     if A*vector(v3) == v3 + v2 + a^2*v1 and B*vector(v3) == v3 + a*vector(v2) + a*vector(v1):

+....:                         print(v1, v2, v3)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()

+                for v3 in product(*pr):

+   ifA*vector(v3) == v3 + v2 + a^2*v1 and B*vector(v3) == v3 + a*vector(v2) + a*vector(v1):

+   print(v1, v2, v3)

+ [?7h[?12l[?25h[?25l[?7l()

+[?7h[?12l[?25h[?25l[?7l

+[?7h[?12l[?25h[?25l[?7l

+()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()

+....: [?7h[?12l[?25h[?25l[?7lsage: from itertools import product

+....: pr = [F for _ in range(6)]

+....: for v1 in product(*pr):

+....:     if A*vector(v1) == v1 and B*vector(v1) == v1:

+....:         for v2 in product(*pr):

+....:             if A*vector(v2) == v2 and B*vector(v2) == v2:

+....:                 print(v1, v2)

+....:                 for v3 in product(*pr):

+....:                     if A*vector(v3) == v3 + v2 + a^2*v1 and B*vector(v3) == v3 + a*vector(v2) + a*vector(v1):

+....:                         print(v1, v2, v3)

+....: 

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: from itertools import product

+....: pr = [F for _ in range(6)]

+....: for v1 in product(*pr):

+....:     if A*vector(v1) == v1 and B*vector(v1) == v1:

+....:         for v2 in product(*pr):

+....:             if A*vector(v2) == v2 and B*vector(v2) == v2:

+....:                 print(v1, v2)

+....:                 for v3 in product(*pr):

+....:                     if A*vector(v3) == v3 + v2 + a^2*v1 and B*vector(v3) == v3 + a*vector(v2) + a*vector(v1):

+....:                         print(v1, v2, v3)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[]

+[?7h[?12l[?25h[?25l[?7l

+

+ifA*vector(v1) == v1 and B*vector(v1) == v1:

+forv2in product(*pr):

+ifA*vector(v2) == v2 and B*vector(v2) == v2:

+print(v1,v2)

+forv3in product(*pr):

+....:                     if A*vector(v3) == v3 + v2 + a^2*v1 and B*vector(v3) == v3 + a*vector(v2) + a*vector(v1):

+....:                         print(v1, v2, v3)[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lprint[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lv[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()

+

+ifA*vector(v1) == v1 and B*vector(v1) == v1:

+forv2in product(*pr):

+ifA*vector(v2) == v2 and B*vector(v2) == v2:

+print(v1,v2)

+forv3in product(*pr):

+....:                     if A*vector(v3) == v3 + v2 + a^2*v1 and B*vector(v3) == v3 + a*vector(v2) + a*vector(v1):

+....:                         print(v1, v2, v3)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()

+    if A*vector(v1) == v1 and B*vector(v1) == v1:

+   for v2 in product(*pr):

+   ifA*vector(v2) == v2 and B*vector(v2) == v2:

+   print(v1, v2)

+for v3 inproduct(*pr):

+   ifA*vector(v3) == v3 + v2 + a^2*v1 and B*vector(v3) == v3 + a*vector(v2) + a*vector(v1):

+   print(v1, v2, v3)

+ [?7h[?12l[?25h[?25l[?7l()

+[?7h[?12l[?25h[?25l[?7l

+[?7h[?12l[?25h[?25l[?7l

+[?7h[?12l[?25h[?25l[?7l

+[?7h[?12l[?25h[?25l[?7l

+[?7h[?12l[?25h[?25l[?7l

+[?7h[?12l[?25h[?25l[?7l

+[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()

+....: [?7h[?12l[?25h[?25l[?7lsage: from itertools import product

+....: pr = [F for _ in range(6)]

+....: for v1 in product(*pr):

+....:     print(v1)

+....:     if A*vector(v1) == v1 and B*vector(v1) == v1:

+....:         for v2 in product(*pr):

+....:             if A*vector(v2) == v2 and B*vector(v2) == v2:

+....:                 print(v1, v2)

+....:                 for v3 in product(*pr):

+....:                     if A*vector(v3) == v3 + v2 + a^2*v1 and B*vector(v3) == v3 + a*vector(v2) + a*vector(v1):

+....:                         print(v1, v2, v3)

+....: 

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+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA*vector(v1)[?7h[?12l[?25h[?25l[?7l*vector(v1)[?7h[?12l[?25h[?25l[?7lsage: A*vector(v1)

+[?7h[?12l[?25h[?2004l[?7h(0, 1, a + 1, 0, 1, 1)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA*vector(v1)[?7h[?12l[?25h[?25l[?7lsage: from itertools import product

+....: pr = [F for _ in range(6)]

+....: for v1 in product(*pr):

+....:     print(v1)

+....:     if A*vector(v1) == v1 and B*vector(v1) == v1:

+....:         for v2 in product(*pr):

+....:             if A*vector(v2) == v2 and B*vector(v2) == v2:

+....:                 print(v1, v2)

+....:                 for v3 in product(*pr):

+....:                     if A*vector(v3) == v3 + v2 + a^2*v1 and B*vector(v3) == v3 + a*vector(v2) + a*vector(v1):

+....:                         print(v1, v2, v3)[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lprin[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lan[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lfo[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()

+ [?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lpr[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lan[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lfo[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lan[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()

+ [?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lprin[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lreturn ceil((3*M-2)/4)[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l+[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[()][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[]

+

+forv1 in product(*pr):

+....:     result += 1[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l

+[?7h[?12l[?25h[?25l[?7l

+[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l

+....: [?7h[?12l[?25h[?25l[?7lsage: from itertools import product

+....: pr = [F for _ in range(6)]

+....: result = 0

+....: for v1 in product(*pr):

+....:     result += 1

+....: 

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lsage: 

+

+

+

+ [?7h[?12l[?25h[?25l[?7lresult = 0[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7lsage: result

+[?7h[?12l[?25h[?2004l[?7h4096
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lsage: 

+

+ [?7h[?12l[?25h[?25l[?7lresult[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: result.factor()

+[?7h[?12l[?25h[?2004l[?7h2^12
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: from itertools import product

+....: pr = [F for _ in range(6)]

+....: for v1 in product(*pr):

+....:     if A*vector(v1) == vector(v1) and B*vector(v1) == vector(v1):

+....:         for v2 in product(*pr):

+....:             if A*vector(v2) == vector(v2) and B*vector(v2) == vector(v2):

+....:                 for v3 in product(*pr):

+....:                     if A*vector(v3) == vector(v3) + vector(v2) + a^2*v1 and B*vector(v3) == vector(v3) + a*vector(v2) + a*vector(v1):

+....:                         print(v1, v2, v3)[?7h[?12l[?25h[?25l[?7l....:                         print(v1, v2, v3)

+....: [?7h[?12l[?25h[?25l[?7lsage: from itertools import product

+....: pr = [F for _ in range(6)]

+....: for v1 in product(*pr):

+....:     if A*vector(v1) == vector(v1) and B*vector(v1) == vector(v1):

+....:         for v2 in product(*pr):

+....:             if A*vector(v2) == vector(v2) and B*vector(v2) == vector(v2):

+....:                 for v3 in product(*pr):

+....:                     if A*vector(v3) == vector(v3) + vector(v2) + a^2*v1 and B*vector(v3) == vector(v3) + a*vector(v2) + a*vector(v1):

+....:                         print(v1, v2, v3)

+....: 

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+TypeError                                 Traceback (most recent call last)
+Input In [26], in <cell line: 3>()
+      6 if A*vector(v2) == vector(v2) and B*vector(v2) == vector(v2):
+      7     for v3 in product(*pr):
+----> 8         if A*vector(v3) == vector(v3) + vector(v2) + a**Integer(2)*v1 and B*vector(v3) == vector(v3) + a*vector(v2) + a*vector(v1):
+      9             print(v1, v2, v3)
+
+TypeError: can't multiply sequence by non-int of type 'sage.rings.finite_rings.element_givaro.FiniteField_givaroElement'
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: from itertools import product

+....: pr = [F for _ in range(6)]

+....: for v1 in product(*pr):

+....:     if A*vector(v1) == vector(v1) and B*vector(v1) == vector(v1):

+....:         for v2 in product(*pr):

+....:             if A*vector(v2) == vector(v2) and B*vector(v2) == vector(v2):

+....:                 for v3 in product(*pr):

+....:                     if A*vector(v3) == vector(v3) + vector(v2) + a^2*vector(v1) and B*vector(v3) == vector(v3) + a*vector(v2) + a*vector(v1):

+....:                         print(v1, v2, v3)[?7h[?12l[?25h[?25l[?7l....:                         print(v1, v2, v3)

+....: [?7h[?12l[?25h[?25l[?7lsage: from itertools import product

+....: pr = [F for _ in range(6)]

+....: for v1 in product(*pr):

+....:     if A*vector(v1) == vector(v1) and B*vector(v1) == vector(v1):

+....:         for v2 in product(*pr):

+....:             if A*vector(v2) == vector(v2) and B*vector(v2) == vector(v2):

+....:                 for v3 in product(*pr):

+....:                     if A*vector(v3) == vector(v3) + vector(v2) + a^2*vector(v1) and B*vector(v3) == vector(v3) + a*vector(v2) + a*vector(v1):

+....:                         print(v1, v2, v3)

+....: 

+[?7h[?12l[?25h[?2004l(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (0, 0, 0, a, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (0, 0, 0, a + 1, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (0, 0, 0, 1, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (0, 0, a, 0, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (0, 0, a, a, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (0, 0, a, a + 1, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (0, 0, a, 1, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (0, 0, a + 1, 0, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (0, 0, a + 1, a, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (0, 0, a + 1, a + 1, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (0, 0, a + 1, 1, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (0, 0, 1, 0, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (0, 0, 1, a, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (0, 0, 1, a + 1, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (0, 0, 1, 1, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (a, 0, 0, 0, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (a, 0, 0, a, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (a, 0, 0, a + 1, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (a, 0, 0, 1, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (a, 0, a, 0, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (a, 0, a, a, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (a, 0, a, a + 1, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (a, 0, a, 1, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (a, 0, a + 1, 0, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (a, 0, a + 1, a, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (a, 0, a + 1, a + 1, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (a, 0, a + 1, 1, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (a, 0, 1, 0, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (a, 0, 1, a, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (a, 0, 1, a + 1, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (a, 0, 1, 1, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (a + 1, 0, 0, 0, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (a + 1, 0, 0, a, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (a + 1, 0, 0, a + 1, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (a + 1, 0, 0, 1, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (a + 1, 0, a, 0, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (a + 1, 0, a, a, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (a + 1, 0, a, a + 1, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (a + 1, 0, a, 1, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (a + 1, 0, a + 1, 0, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (a + 1, 0, a + 1, a, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (a + 1, 0, a + 1, a + 1, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (a + 1, 0, a + 1, 1, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (a + 1, 0, 1, 0, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (a + 1, 0, 1, a, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (a + 1, 0, 1, a + 1, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (a + 1, 0, 1, 1, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (1, 0, 0, 0, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (1, 0, 0, a, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (1, 0, 0, a + 1, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (1, 0, 0, 1, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (1, 0, a, 0, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (1, 0, a, a, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (1, 0, a, a + 1, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (1, 0, a, 1, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (1, 0, a + 1, 0, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (1, 0, a + 1, a, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (1, 0, a + 1, a + 1, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (1, 0, a + 1, 1, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (1, 0, 1, 0, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (1, 0, 1, a, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (1, 0, 1, a + 1, 0, 0)
+(0, 0, 0, 0, 0, 0) (0, 0, 0, 0, 0, 0) (1, 0, 1, 1, 0, 0)
+^C---------------------------------------------------------------------------
+KeyboardInterrupt                         Traceback (most recent call last)
+Input In [27], in <cell line: 3>()
+      6 if A*vector(v2) == vector(v2) and B*vector(v2) == vector(v2):
+      7     for v3 in product(*pr):
+----> 8         if A*vector(v3) == vector(v3) + vector(v2) + a**Integer(2)*vector(v1) and B*vector(v3) == vector(v3) + a*vector(v2) + a*vector(v1):
+      9             print(v1, v2, v3)
+
+File /ext/sage/9.7/src/sage/modules/free_module_element.pyx:543, in sage.modules.free_module_element.vector()
+    541 
+    542     try:
+--> 543         from numpy import ndarray
+    544     except ImportError:
+    545         pass
+
+File <frozen importlib._bootstrap>:1053, in _handle_fromlist(module, fromlist, import_, recursive)
+
+File src/cysignals/signals.pyx:310, in cysignals.signals.python_check_interrupt()
+
+KeyboardInterrupt: 
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lv1[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7lsage: v1

+[?7h[?12l[?25h[?2004l[?7h(0, 0, 0, 0, 0, 0)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lv1[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lL[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lrCode[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7listrage(0, 3)[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lM[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7lv[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lv[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l,[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lv[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7lsage: M = matrix([v1, v1, v1])

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lM = matrix([v1, v1, v1])[?7h[?12l[?25h[?25l[?7lsage: M

+[?7h[?12l[?25h[?2004l[?7h[0 0 0 0 0 0]
+[0 0 0 0 0 0]
+[0 0 0 0 0 0]
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lM[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: from itertools import product

+....: pr = [F for _ in range(6)]

+....: for v1 in product(*pr):

+....:     if A*vector(v1) == vector(v1) and B*vector(v1) == vector(v1):

+....:         for v2 in product(*pr):

+....:             if A*vector(v2) == vector(v2) and B*vector(v2) == vector(v2):

+....:                 for v3 in product(*pr):

+....:                     if A*vector(v3) == vector(v3) + vector(v2) + a^2*vector(v1) and B*vector(v3) == vector(v3) + a*vector(v2) + a*vector(v1):

+....:                         M = matrix(v1, v2, v3)

+....:                         if M.rank() == 3:

+....:                             print(v1, v2, v3)[?7h[?12l[?25h[?25l[?7l....:                             print(v1, v2, v3)from itertools import product

+....: pr = [F for _ in range(6)]

+....: for v1 in product(*pr):

+....:     if A*vector(v1) == vector(v1) and B*vector(v1) == vector(v1):

+....:         for v2 in product(*pr):

+....:             if A*vector(v2) == vector(v2) and B*vector(v2) == vector(v2):

+....:                 for v3 in product(*pr):

+....:                     if A*vector(v3) == vector(v3) + vector(v2) + a^2*vector(v1) and B*vector(v3) == vector(v3) + a*vector(v2) + a*vector(v1):

+....:                         M = matrix(v1, v2, v3)

+....:                         if M.rank() == 3:

+....:                             print(v1, v2, v3)[?7h[?12l[?25h[?25l[?7lsage: from itertools import product

+....: pr = [F for _ in range(6)]

+....: for v1 in product(*pr):

+....:     if A*vector(v1) == vector(v1) and B*vector(v1) == vector(v1):

+....:         for v2 in product(*pr):

+....:             if A*vector(v2) == vector(v2) and B*vector(v2) == vector(v2):

+....:                 for v3 in product(*pr):

+....:                     if A*vector(v3) == vector(v3) + vector(v2) + a^2*vector(v1) and B*vector(v3) == vector(v3) + a*vector(v2) + a*vector(v1):

+....:                         M = matrix(v1, v2, v3)

+....:                         if M.rank() == 3:

+....:                             print(v1, v2, v3)from itertools import product

+....: pr = [F for _ in range(6)]

+....: for v1 in product(*pr):

+....:     if A*vector(v1) == vector(v1) and B*vector(v1) == vector(v1):

+....:         for v2 in product(*pr):

+....:             if A*vector(v2) == vector(v2) and B*vector(v2) == vector(v2):

+....:                 for v3 in product(*pr):

+....:                     if A*vector(v3) == vector(v3) + vector(v2) + a^2*vector(v1) and B*vector(v3) == vector(v3) + a*vector(v2) + a*vector(v1):

+....:                         M = matrix(v1, v2, v3)

+....:                         if M.rank() == 3:

+....:                             print(v1, v2, v3)

+[?7h[?12l[?25h[?2004l  Input In [31]
+    print(v1, v2, v3)from itertools import product
+                     ^
+SyntaxError: invalid syntax
+
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: from itertools import product

+....: pr = [F for _ in range(6)]

+....: for v1 in product(*pr):

+....:     if A*vector(v1) == vector(v1) and B*vector(v1) == vector(v1):

+....:         for v2 in product(*pr):

+....:             if A*vector(v2) == vector(v2) and B*vector(v2) == vector(v2):

+....:                 for v3 in product(*pr):

+....:                     if A*vector(v3) == vector(v3) + vector(v2) + a^2*vector(v1) and B*vector(v3) == vector(v3) + a*vector(v2) + a*vector(v1):

+....:                         M = matrix(v1, v2, v3)

+....:                         if M.rank() == 3:

+....:                             print(v1, v2, v3)[?7h[?12l[?25h[?25l[?7l....:                             print(v1, v2, v3)

+....: [?7h[?12l[?25h[?25l[?7lsage: from itertools import product

+....: pr = [F for _ in range(6)]

+....: for v1 in product(*pr):

+....:     if A*vector(v1) == vector(v1) and B*vector(v1) == vector(v1):

+....:         for v2 in product(*pr):

+....:             if A*vector(v2) == vector(v2) and B*vector(v2) == vector(v2):

+....:                 for v3 in product(*pr):

+....:                     if A*vector(v3) == vector(v3) + vector(v2) + a^2*vector(v1) and B*vector(v3) == vector(v3) + a*vector(v2) + a*vector(v1):

+....:                         M = matrix(v1, v2, v3)

+....:                         if M.rank() == 3:

+....:                             print(v1, v2, v3)

+....: 

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+TypeError                                 Traceback (most recent call last)
+Input In [32], in <cell line: 3>()
+      7 for v3 in product(*pr):
+      8     if A*vector(v3) == vector(v3) + vector(v2) + a**Integer(2)*vector(v1) and B*vector(v3) == vector(v3) + a*vector(v2) + a*vector(v1):
+----> 9         M = matrix(v1, v2, v3)
+     10         if M.rank() == Integer(3):
+     11             print(v1, v2, v3)
+
+File /ext/sage/9.7/src/sage/matrix/constructor.pyx:643, in sage.matrix.constructor.matrix()
+    641 """
+    642 immutable = kwds.pop('immutable', False)
+--> 643 M = MatrixArgs(*args, **kwds).matrix()
+    644 if immutable:
+    645     M.set_immutable()
+
+File /ext/sage/9.7/src/sage/matrix/args.pyx:355, in sage.matrix.args.MatrixArgs.__init__()
+    353         if argi == argc: return
+    354 
+--> 355     raise TypeError("too many arguments in matrix constructor")
+    356 
+    357 def __repr__(self):
+
+TypeError: too many arguments in matrix constructor
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: from itertools import product

+....: pr = [F for _ in range(6)]

+....: for v1 in product(*pr):

+....:     if A*vector(v1) == vector(v1) and B*vector(v1) == vector(v1):

+....:         for v2 in product(*pr):

+....:             if A*vector(v2) == vector(v2) and B*vector(v2) == vector(v2):

+....:                 for v3 in product(*pr):

+....:                     if A*vector(v3) == vector(v3) + vector(v2) + a^2*vector(v1) and B*vector(v3) == vector(v3) + a*vector(v2) + a*vector(v1):

+....:                         M = matrix([v1, v2, v3])

+....:                         if M.rank() == 3:

+....:                             print(v1, v2, v3)[?7h[?12l[?25h[?25l[?7l....:                             print(v1, v2, v3)

+....: [?7h[?12l[?25h[?25l[?7lsage: from itertools import product

+....: pr = [F for _ in range(6)]

+....: for v1 in product(*pr):

+....:     if A*vector(v1) == vector(v1) and B*vector(v1) == vector(v1):

+....:         for v2 in product(*pr):

+....:             if A*vector(v2) == vector(v2) and B*vector(v2) == vector(v2):

+....:                 for v3 in product(*pr):

+....:                     if A*vector(v3) == vector(v3) + vector(v2) + a^2*vector(v1) and B*vector(v3) == vector(v3) + a*vector(v2) + a*vector(v1):

+....:                         M = matrix([v1, v2, v3])

+....:                         if M.rank() == 3:

+....:                             print(v1, v2, v3)

+....: 

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+(0, 0, a, 0, 0, 0) (a + 1, 0, 0, a + 1, 0, 0) (0, 1, 0, 0, a + 1, 0)
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+(0, 0, a, 0, 0, 0) (a + 1, 0, 0, a + 1, 0, 0) (0, 1, 0, a + 1, a + 1, 0)
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+(0, 0, a, 0, 0, 0) (a + 1, 0, 0, a + 1, 0, 0) (1, 1, 0, 0, a + 1, 0)
+(0, 0, a, 0, 0, 0) (a + 1, 0, 0, a + 1, 0, 0) (1, 1, 0, a, a + 1, 0)
+(0, 0, a, 0, 0, 0) (a + 1, 0, 0, a + 1, 0, 0) (1, 1, 0, a + 1, a + 1, 0)
+(0, 0, a, 0, 0, 0) (a + 1, 0, 0, a + 1, 0, 0) (1, 1, 0, 1, a + 1, 0)
+(0, 0, a, 0, 0, 0) (a + 1, 0, 0, a + 1, 0, 0) (1, 1, a, 0, a + 1, 0)
+(0, 0, a, 0, 0, 0) (a + 1, 0, 0, a + 1, 0, 0) (1, 1, a, a, a + 1, 0)
+(0, 0, a, 0, 0, 0) (a + 1, 0, 0, a + 1, 0, 0) (1, 1, a, a + 1, a + 1, 0)
+(0, 0, a, 0, 0, 0) (a + 1, 0, 0, a + 1, 0, 0) (1, 1, a, 1, a + 1, 0)
+(0, 0, a, 0, 0, 0) (a + 1, 0, 0, a + 1, 0, 0) (1, 1, a + 1, 0, a + 1, 0)
+(0, 0, a, 0, 0, 0) (a + 1, 0, 0, a + 1, 0, 0) (1, 1, a + 1, a, a + 1, 0)
+(0, 0, a, 0, 0, 0) (a + 1, 0, 0, a + 1, 0, 0) (1, 1, a + 1, a + 1, a + 1, 0)
+(0, 0, a, 0, 0, 0) (a + 1, 0, 0, a + 1, 0, 0) (1, 1, a + 1, 1, a + 1, 0)
+(0, 0, a, 0, 0, 0) (a + 1, 0, 0, a + 1, 0, 0) (1, 1, 1, 0, a + 1, 0)
+(0, 0, a, 0, 0, 0) (a + 1, 0, 0, a + 1, 0, 0) (1, 1, 1, a, a + 1, 0)
+(0, 0, a, 0, 0, 0) (a + 1, 0, 0, a + 1, 0, 0) (1, 1, 1, a + 1, a + 1, 0)
+(0, 0, a, 0, 0, 0) (a + 1, 0, 0, a + 1, 0, 0) (1, 1, 1, 1, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (0, a, 0, 0, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (0, a, 0, a, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (0, a, 0, a + 1, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (0, a, 0, 1, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (0, a, a, 0, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (0, a, a, a, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (0, a, a, a + 1, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (0, a, a, 1, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (0, a, a + 1, 0, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (0, a, a + 1, a, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (0, a, a + 1, a + 1, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (0, a, a + 1, 1, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (0, a, 1, 0, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (0, a, 1, a, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (0, a, 1, a + 1, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (0, a, 1, 1, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (a, a, 0, 0, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (a, a, 0, a, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (a, a, 0, a + 1, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (a, a, 0, 1, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (a, a, a, 0, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (a, a, a, a, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (a, a, a, a + 1, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (a, a, a, 1, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (a, a, a + 1, 0, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (a, a, a + 1, a, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (a, a, a + 1, a + 1, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (a, a, a + 1, 1, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (a, a, 1, 0, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (a, a, 1, a, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (a, a, 1, a + 1, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (a, a, 1, 1, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (a + 1, a, 0, 0, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (a + 1, a, 0, a, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (a + 1, a, 0, a + 1, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (a + 1, a, 0, 1, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (a + 1, a, a, 0, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (a + 1, a, a, a, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (a + 1, a, a, a + 1, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (a + 1, a, a, 1, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (a + 1, a, a + 1, 0, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (a + 1, a, a + 1, a, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (a + 1, a, a + 1, a + 1, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (a + 1, a, a + 1, 1, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (a + 1, a, 1, 0, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (a + 1, a, 1, a, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (a + 1, a, 1, a + 1, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (a + 1, a, 1, 1, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (1, a, 0, 0, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (1, a, 0, a, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (1, a, 0, a + 1, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (1, a, 0, 1, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (1, a, a, 0, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (1, a, a, a, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (1, a, a, a + 1, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (1, a, a, 1, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (1, a, a + 1, 0, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (1, a, a + 1, a, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (1, a, a + 1, a + 1, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (1, a, a + 1, 1, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (1, a, 1, 0, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (1, a, 1, a, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (1, a, 1, a + 1, a + 1, 0)
+(0, 0, a, 0, 0, 0) (1, 0, 0, a + 1, 0, 0) (1, a, 1, 1, a + 1, 0)
+^C---------------------------------------------------------------------------
+KeyboardInterrupt                         Traceback (most recent call last)
+Input In [33], in <cell line: 3>()
+      6 if A*vector(v2) == vector(v2) and B*vector(v2) == vector(v2):
+      7     for v3 in product(*pr):
+----> 8         if A*vector(v3) == vector(v3) + vector(v2) + a**Integer(2)*vector(v1) and B*vector(v3) == vector(v3) + a*vector(v2) + a*vector(v1):
+      9             M = matrix([v1, v2, v3])
+     10             if M.rank() == Integer(3):
+
+File /ext/sage/9.7/src/sage/modules/free_module_element.pyx:543, in sage.modules.free_module_element.vector()
+    541 
+    542     try:
+--> 543         from numpy import ndarray
+    544     except ImportError:
+    545         pass
+
+File <frozen importlib._bootstrap>:1053, in _handle_fromlist(module, fromlist, import_, recursive)
+
+File src/cysignals/signals.pyx:310, in cysignals.signals.python_check_interrupt()
+
+KeyboardInterrupt: 
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: from itertools import product

+....: pr = [F for _ in range(6)]

+....: for v1 in product(*pr):

+....:     if A*vector(v1) == vector(v1) and B*vector(v1) == vector(v1):

+....:         for v2 in product(*pr):

+....:             if A*vector(v2) == vector(v2) + a^2*vector(v1) and B*vector(v2) == vector(v2)+ vector(v1):

+....:                 for v3 in product(*pr):

+....:                     if A*vector(v3) == vector(v3) + vector(v1) and B*vector(v3) == vector(v3) +vector(v1):

+....:                         M = matrix([v1, v2, v3])

+....:                         if M.rank() == 3:

+....:                             print(v1, v2, v3)[?7h[?12l[?25h[?25l[?7l....:                             print(v1, v2, v3)

+....: [?7h[?12l[?25h[?25l[?7lsage: from itertools import product

+....: pr = [F for _ in range(6)]

+....: for v1 in product(*pr):

+....:     if A*vector(v1) == vector(v1) and B*vector(v1) == vector(v1):

+....:         for v2 in product(*pr):

+....:             if A*vector(v2) == vector(v2) + a^2*vector(v1) and B*vector(v2) == vector(v2)+ vector(v1):

+....:                 for v3 in product(*pr):

+....:                     if A*vector(v3) == vector(v3) + vector(v1) and B*vector(v3) == vector(v3) +vector(v1):

+....:                         M = matrix([v1, v2, v3])

+....:                         if M.rank() == 3:

+....:                             print(v1, v2, v3)

+....: 

+[?7h[?12l[?25h[?2004l(a, 0, 0, 0, 0, 0) (0, a, 0, 0, 0, 0) (0, 1, 0, 0, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, 0, 0, 0, 0) (0, 1, 0, a, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, 0, 0, 0, 0) (0, 1, 0, a + 1, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, 0, 0, 0, 0) (0, 1, 0, 1, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, 0, 0, 0, 0) (0, 1, a, 0, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, 0, 0, 0, 0) (0, 1, a, a, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, 0, 0, 0, 0) (0, 1, a, a + 1, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, 0, 0, 0, 0) (0, 1, a, 1, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, 0, 0, 0, 0) (0, 1, a + 1, 0, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, 0, 0, 0, 0) (0, 1, a + 1, a, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, 0, 0, 0, 0) (0, 1, a + 1, a + 1, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, 0, 0, 0, 0) (0, 1, a + 1, 1, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, 0, 0, 0, 0) (0, 1, 1, 0, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, 0, 0, 0, 0) (0, 1, 1, a, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, 0, 0, 0, 0) (0, 1, 1, a + 1, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, 0, 0, 0, 0) (0, 1, 1, 1, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, 0, 0, 0, 0) (a, 1, 0, 0, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, 0, 0, 0, 0) (a, 1, 0, a, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, 0, 0, 0, 0) (a, 1, 0, a + 1, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, 0, 0, 0, 0) (a, 1, 0, 1, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, 0, 0, 0, 0) (a, 1, a, 0, 0, a + 1)
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+(a, 0, 0, 0, 0, 0) (0, a, a + 1, 0, 0, 0) (a + 1, 1, 1, 1, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, 0, 0, 0) (1, 1, 0, 0, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, 0, 0, 0) (1, 1, 0, a, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, 0, 0, 0) (1, 1, 0, a + 1, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, 0, 0, 0) (1, 1, 0, 1, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, 0, 0, 0) (1, 1, a, 0, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, 0, 0, 0) (1, 1, a, a, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, 0, 0, 0) (1, 1, a, a + 1, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, 0, 0, 0) (1, 1, a, 1, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, 0, 0, 0) (1, 1, a + 1, 0, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, 0, 0, 0) (1, 1, a + 1, a, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, 0, 0, 0) (1, 1, a + 1, a + 1, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, 0, 0, 0) (1, 1, a + 1, 1, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, 0, 0, 0) (1, 1, 1, 0, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, 0, 0, 0) (1, 1, 1, a, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, 0, 0, 0) (1, 1, 1, a + 1, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, 0, 0, 0) (1, 1, 1, 1, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, a, 0, 0) (0, 1, 0, 0, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, a, 0, 0) (0, 1, 0, a, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, a, 0, 0) (0, 1, 0, a + 1, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, a, 0, 0) (0, 1, 0, 1, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, a, 0, 0) (0, 1, a, 0, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, a, 0, 0) (0, 1, a, a, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, a, 0, 0) (0, 1, a, a + 1, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, a, 0, 0) (0, 1, a, 1, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, a, 0, 0) (0, 1, a + 1, 0, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, a, 0, 0) (0, 1, a + 1, a, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, a, 0, 0) (0, 1, a + 1, a + 1, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, a, 0, 0) (0, 1, a + 1, 1, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, a, 0, 0) (0, 1, 1, 0, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, a, 0, 0) (0, 1, 1, a, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, a, 0, 0) (0, 1, 1, a + 1, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, a, 0, 0) (0, 1, 1, 1, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, a, 0, 0) (a, 1, 0, 0, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, a, 0, 0) (a, 1, 0, a, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, a, 0, 0) (a, 1, 0, a + 1, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, a, 0, 0) (a, 1, 0, 1, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, a, 0, 0) (a, 1, a, 0, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, a, 0, 0) (a, 1, a, a, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, a, 0, 0) (a, 1, a, a + 1, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, a, 0, 0) (a, 1, a, 1, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, a, 0, 0) (a, 1, a + 1, 0, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, a, 0, 0) (a, 1, a + 1, a, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, a, 0, 0) (a, 1, a + 1, a + 1, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, a, 0, 0) (a, 1, a + 1, 1, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, a, 0, 0) (a, 1, 1, 0, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, a, 0, 0) (a, 1, 1, a, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, a, 0, 0) (a, 1, 1, a + 1, 0, a + 1)
+(a, 0, 0, 0, 0, 0) (0, a, a + 1, a, 0, 0) (a, 1, 1, 1, 0, a + 1)
+^C---------------------------------------------------------------------------
+KeyboardInterrupt                         Traceback (most recent call last)
+Input In [34], in <cell line: 3>()
+      6 if A*vector(v2) == vector(v2) + a**Integer(2)*vector(v1) and B*vector(v2) == vector(v2)+ vector(v1):
+      7     for v3 in product(*pr):
+----> 8         if A*vector(v3) == vector(v3) + vector(v1) and B*vector(v3) == vector(v3) +vector(v1):
+      9             M = matrix([v1, v2, v3])
+     10             if M.rank() == Integer(3):
+
+File /ext/sage/9.7/src/sage/modules/free_module_element.pyx:580, in sage.modules.free_module_element.vector()
+    578         sparse = False
+    579 
+--> 580 v, R = prepare(v, R, degree)
+    581 
+    582 M = FreeModule(R, len(v), bool(sparse))
+
+File /ext/sage/9.7/src/sage/modules/free_module_element.pyx:678, in sage.modules.free_module_element.prepare()
+    676     except TypeError:
+    677         pass
+--> 678 v = Sequence(v, universe=R, use_sage_types=True)
+    679 ring = v.universe()
+    680 if not is_Ring(ring):
+
+File /ext/sage/9.7/src/sage/structure/sequence.py:263, in Sequence(x, universe, check, immutable, cr, cr_str, use_sage_types)
+    261     pass
+    262 else:
+--> 263     if is_MPolynomialRing(universe) or isinstance(universe, BooleanMonomialMonoid) or (is_QuotientRing(universe) and is_MPolynomialRing(universe.cover_ring())):
+    264         return PolynomialSequence(x, universe, immutable=immutable, cr=cr, cr_str=cr_str)
+    266 return Sequence_generic(x, universe, check, immutable, cr, cr_str, use_sage_types)
+
+File src/cysignals/signals.pyx:310, in cysignals.signals.python_check_interrupt()
+
+KeyboardInterrupt: 
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA*vector(v1)[?7h[?12l[?25h[?25l[?7lS = as_cover(P1, [(P1.x)^3, a*(P1.x)^3], prec = 200)[?7h[?12l[?25h[?25l[?7l.de_rham_basis()[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7l_rham_basis()[?7h[?12l[?25h[?25l[?7lsage: AS.de_rham_basis()

+[?7h[?12l[?25h[?2004l[?7h[( (1) * dx, 0 ),
+ ( ((a + 1)*z0 + z1) * dx, 0 ),
+ ( (x) * dx, 0 ),
+ ( (0) * dx, z1/x ),
+ ( (a*x*z0 + x*z1) * dx, z0*z1/x ),
+ ( (a*z0 + z1) * dx, z0*z1/x^2 )]
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.de_rham_basis()[?7h[?12l[?25h[?25l[?7lsage: from itertools import product

+....: pr = [F for _ in range(6)]

+....: for v1 in product(*pr):

+....:     if A*vector(v1) == vector(v1) and B*vector(v1) == vector(v1):

+....:         for v2 in product(*pr):

+....:             if A*vector(v2) == vector(v2) + a^2*vector(v1) and B*vector(v2) == vector(v2)+ vector(v1):

+....:                 for v3 in product(*pr):

+....:                     if A*vector(v3) == vector(v3) + vector(v1) and B*vector(v3) == vector(v3) +vector(v1):

+....:                         M = matrix([v1, v2, v3])

+....:                         if M.rank() == 3:

+....:                             print(v1, v2, v3)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l

+

+

+

+

+and B2== vector(v2):

+

+2+ a^21and B*vector(v3) == vector(v3) + a*vector(v2) + a*vector(v1):

+

+

+()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l

+

+

+

+

+

+

+

+v1, v2, v3)

+

+()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()

+()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l

+[?7h[?12l[?25h[?25l[?7l

+[?7h[?12l[?25h[?25l[?7l

+()[?7h[?12l[?25h[?25l[?7l()

+()[?7h[?12l[?25h[?25l[?7l()

+[?7h[?12l[?25h[?25l[?7l

+()[?7h[?12l[?25h[?25l[?7l[v1, v2, v3])

+

+()[?7h[?12l[?25h[?25l[?7l

+[][?7h[?12l[?25h[?25l[?7l[]

+[?7h[?12l[?25h[?25l[?7l

+()[?7h[?12l[?25h[?25l[?7l()

+()[?7h[?12l[?25h[?25l[?7l()

+[?7h[?12l[?25h[?25l[?7l

+[?7h[?12l[?25h[?25l[?7l

+[?7h[?12l[?25h[?25l[?7l

+[?7h[?12l[?25h[?25l[?7l

+[?7h[?12l[?25h[?25l[?7l

+[?7h[?12l[?25h[?25l[?7l+ a^21and B*vector(v2) == vector(v2)+ vector(v1):

+

+1and B3== vector(v3) +vector(v1):[?7h[?12l[?25h[?25l[?7l

+[][?7h[?12l[?25h[?25l[?7l[]

+[?7h[?12l[?25h[?25l[?7l

+()[?7h[?12l[?25h[?25l[?7l()

+()[?7h[?12l[?25h[?25l[?7l()

+[?7h[?12l[?25h[?25l[?7l

+[?7h[?12l[?25h[?25l[?7l

+[?7h[?12l[?25h[?25l[?7l

+[?7h[?12l[?25h[?25l[?7l

+[?7h[?12l[?25h[?25l[?7l

+[?7h[?12l[?25h[?25l[?7lAS.de_rham_basis()

+ 

+ 

+ 

+ 

+ 

+ 

+ 

+ 

+ 

+ [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.de_rham_basis()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.de_rham_basis()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l = as_cover(P1, [(P1.x)^3, a*(P1.x)^3], prec = 200)[?7h[?12l[?25h[?25l[?7l= as_cover(P1, [(P1.x)^3, a*(P1.x)^3], prec = 200)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(P1.x)^3], prec = 20)[?7h[?12l[?25h[?25l[?7l(P1.x)^3], prec = 20)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l], prec = 20)[?7h[?12l[?25h[?25l[?7l5], prec = 20)[?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: AS = as_cover(P1, [(P1.x)^3, (P1.x)^5], prec = 200)

+[?7h[?12l[?25h[?2004l^C---------------------------------------------------------------------------
+AttributeError                            Traceback (most recent call last)
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_zz_pex.pyx:280, in sage.rings.polynomial.polynomial_zz_pex.Polynomial_ZZ_pEX.__call__()
+    279 try:
+--> 280     if a.parent() is not K:
+    281         a = K.coerce(a)
+
+AttributeError: 'tuple' object has no attribute 'parent'
+
+During handling of the above exception, another exception occurred:
+
+KeyboardInterrupt                         Traceback (most recent call last)
+Input In [36], in <cell line: 1>()
+----> 1 AS = as_cover(P1, [(P1.x)**Integer(3), (P1.x)**Integer(5)], prec = Integer(200))
+
+File <string>:45, in __init__(self, C, list_of_fcts, branch_points, prec)
+
+File <string>:196, in artin_schreier_transform(power_series, prec)
+
+File <string>:12, in new_reverse(power_series, prec)
+
+File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:1831, in sage.rings.laurent_series_ring_element.LaurentSeries.__call__()
+   1829 if x:
+   1830     raise ValueError("must not specify %s keyword and positional argument" % name)
+-> 1831 a = self(kwds[name])
+   1832 del kwds[name]
+   1833 try:
+
+File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:1852, in sage.rings.laurent_series_ring_element.LaurentSeries.__call__()
+   1850         x = x[0]
+   1851 
+-> 1852     return self.__u(*x)*(x[0]**self.__n)
+   1853 
+   1854 def __pari__(self):
+
+File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:365, in sage.rings.power_series_poly.PowerSeries_poly.__call__()
+    363         x[0] = a
+    364         x = tuple(x)
+--> 365     return self.__f(x)
+    366 
+    367 def _unsafe_mutate(self, i, value):
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_zz_pex.pyx:283, in sage.rings.polynomial.polynomial_zz_pex.Polynomial_ZZ_pEX.__call__()
+    281         a = K.coerce(a)
+    282 except (TypeError, AttributeError, NotImplementedError):
+--> 283     return Polynomial.__call__(self, a)
+    284 
+    285 _a = self._parent._modulus.ZZ_pE(list(a.polynomial()))
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_element.pyx:898, in sage.rings.polynomial.polynomial_element.Polynomial.__call__()
+    896             return result
+    897         pol._compiled = CompiledPolynomialFunction(pol.list())
+--> 898     return pol._compiled.eval(a)
+    899 
+    900 def compose_trunc(self, Polynomial other, long n):
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:125, in sage.rings.polynomial.polynomial_compiled.CompiledPolynomialFunction.eval()
+    123 cdef object temp
+    124 try:
+--> 125     pd_eval(self._dag, x, self._coeffs)  #see further down
+    126     temp = self._dag.value               #for an explanation
+    127     pd_clean(self._dag)                  #of these 3 lines
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:353, in sage.rings.polynomial.polynomial_compiled.pd_eval()
+    351 cdef inline int pd_eval(generic_pd pd, object vars, object coeffs) except -2:
+    352     if pd.value is None:
+--> 353         pd.eval(vars, coeffs)
+    354     pd.hits += 1
+    355 
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:507, in sage.rings.polynomial.polynomial_compiled.abc_pd.eval()
+    505 
+    506     cdef int eval(abc_pd self, object vars, object coeffs) except -2:
+--> 507         pd_eval(self.left, vars, coeffs)
+    508         pd_eval(self.right, vars, coeffs)
+    509         self.value = self.left.value * self.right.value + coeffs[self.index]
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:353, in sage.rings.polynomial.polynomial_compiled.pd_eval()
+    351 cdef inline int pd_eval(generic_pd pd, object vars, object coeffs) except -2:
+    352     if pd.value is None:
+--> 353         pd.eval(vars, coeffs)
+    354     pd.hits += 1
+    355 
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:507, in sage.rings.polynomial.polynomial_compiled.abc_pd.eval()
+    505 
+    506     cdef int eval(abc_pd self, object vars, object coeffs) except -2:
+--> 507         pd_eval(self.left, vars, coeffs)
+    508         pd_eval(self.right, vars, coeffs)
+    509         self.value = self.left.value * self.right.value + coeffs[self.index]
+
+    [... skipping similar frames: sage.rings.polynomial.polynomial_compiled.pd_eval at line 353 (37 times), sage.rings.polynomial.polynomial_compiled.abc_pd.eval at line 507 (36 times)]
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:507, in sage.rings.polynomial.polynomial_compiled.abc_pd.eval()
+    505 
+    506     cdef int eval(abc_pd self, object vars, object coeffs) except -2:
+--> 507         pd_eval(self.left, vars, coeffs)
+    508         pd_eval(self.right, vars, coeffs)
+    509         self.value = self.left.value * self.right.value + coeffs[self.index]
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:353, in sage.rings.polynomial.polynomial_compiled.pd_eval()
+    351 cdef inline int pd_eval(generic_pd pd, object vars, object coeffs) except -2:
+    352     if pd.value is None:
+--> 353         pd.eval(vars, coeffs)
+    354     pd.hits += 1
+    355 
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_compiled.pyx:509, in sage.rings.polynomial.polynomial_compiled.abc_pd.eval()
+    507 pd_eval(self.left, vars, coeffs)
+    508 pd_eval(self.right, vars, coeffs)
+--> 509 self.value = self.left.value * self.right.value + coeffs[self.index]
+    510 pd_clean(self.left)
+    511 pd_clean(self.right)
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:1514, in sage.structure.element.Element.__mul__()
+   1512 cdef int cl = classify_elements(left, right)
+   1513 if HAVE_SAME_PARENT(cl):
+-> 1514     return (<Element>left)._mul_(right)
+   1515 if BOTH_ARE_ELEMENT(cl):
+   1516     return coercion_model.bin_op(left, right, mul)
+
+File /ext/sage/9.7/src/sage/rings/laurent_series_ring_element.pyx:913, in sage.rings.laurent_series_ring_element.LaurentSeries._mul_()
+    911 cdef LaurentSeries right = <LaurentSeries>right_r
+    912 return type(self)(self._parent,
+--> 913                   self.__u * right.__u,
+    914                   self.__n + right.__n)
+    915 
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:1514, in sage.structure.element.Element.__mul__()
+   1512 cdef int cl = classify_elements(left, right)
+   1513 if HAVE_SAME_PARENT(cl):
+-> 1514     return (<Element>left)._mul_(right)
+   1515 if BOTH_ARE_ELEMENT(cl):
+   1516     return coercion_model.bin_op(left, right, mul)
+
+File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:540, in sage.rings.power_series_poly.PowerSeries_poly._mul_()
+    538 """
+    539 prec = self._mul_prec(right_r)
+--> 540 return PowerSeries_poly(self._parent,
+    541                         self.__f * (<PowerSeries_poly>right_r).__f,
+    542                         prec=prec,
+
+File /ext/sage/9.7/src/sage/rings/power_series_poly.pyx:44, in sage.rings.power_series_poly.PowerSeries_poly.__init__()
+     42     ValueError: series has negative valuation
+     43 """
+---> 44 R = parent._poly_ring()
+     45 if isinstance(f, Element):
+     46     if (<Element>f)._parent is R:
+
+File /ext/sage/9.7/src/sage/rings/power_series_ring.py:961, in PowerSeriesRing_generic._poly_ring(self)
+    958         pass
+    959     return False
+--> 961 def _poly_ring(self):
+    962     """
+    963     Return the underlying polynomial ring used to represent elements of
+    964     this power series ring.
+   (...)
+    970         Univariate Polynomial Ring in t over Integer Ring
+    971     """
+    972     return self.__poly_ring
+
+File src/cysignals/signals.pyx:310, in cysignals.signals.python_check_interrupt()
+
+KeyboardInterrupt: 
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lP1 = superelliptic(x, 1)[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lRx.<x> = PolynomialRing(F)[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l.<x> = PolynomialRing(F)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7lG)[?7h[?12l[?25h[?25l[?7lF)[?7h[?12l[?25h[?25l[?7l(()[?7h[?12l[?25h[?25l[?7l2)[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7lsage: Rx.<x> = PolynomialRing(GF(2))

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lRx.<x> = PolynomialRing(GF(2))[?7h[?12l[?25h[?25l[?7lAS = as_cover(P1, [(P1.x)^3, (P1.x)^5], prec = 200)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lRx.<x> = PolynomialRing(GF(2))[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lP1 = superelliptic(x, 1)[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7l= superelliptic(x, 1)[?7h[?12l[?25h[?25l[?7lsage: P1 = superelliptic(x, 1)

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lP1 = superelliptic(x, 1)[?7h[?12l[?25h[?25l[?7lRx.<x> = PoynomalRing(GF(2))[?7h[?12l[?25h[?25l[?7lsage: Rx.<x> = PolynomialRing(GF(2))

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lRx.<x> = PolynomialRing(GF(2))[?7h[?12l[?25h[?25l[?7lP1 = supereliptc(x, 1)[?7h[?12l[?25h[?25l[?7lRx.<x> = PoynomalRing(GF(2))[?7h[?12l[?25h[?25l[?7lAS = as_cover(P1, [(P1.x)^3, (P1.x)^5], prec = 200)[?7h[?12l[?25h[?25l[?7lsage: AS = as_cover(P1, [(P1.x)^3, (P1.x)^5], prec = 200)

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS = as_cover(P1, [(P1.x)^3, (P1.x)^5], prec = 200)[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.de_rham_basis()[?7h[?12l[?25h[?25l[?7lholomorphic_differentials_basis2(threshold = 20)[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7llomorphic_differentials_basis2(threshold = 20)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(threshold = 20)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: AS.holomorphic_differentials_basis()

+[?7h[?12l[?25h[?2004l[?7h[(1) * dx, (x*z0 + z1) * dx, (z0) * dx, (x) * dx, (x^2) * dx]
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l = as_cover(P1, [(P1.x)^3, (P1.x)^5], prec = 200)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l], prec = 20)[?7h[?12l[?25h[?25l[?7l7], prec = 20)[?7h[?12l[?25h[?25l[?7lsage: AS = as_cover(P1, [(P1.x)^3, (P1.x)^7], prec = 200)

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS = as_cover(P1, [(P1.x)^3, (P1.x)^7], prec = 200)[?7h[?12l[?25h[?25l[?7l.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lsage: AS.holomorphic_differentials_basis()

+[?7h[?12l[?25h[?2004l[?7h[(1) * dx,
+ (x^2*z0 + z1) * dx,
+ (z0) * dx,
+ (x) * dx,
+ (x*z0) * dx,
+ (x^2) * dx,
+ (x^3) * dx]
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7lS[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lde_rham_basis()[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7l_rham_basis()[?7h[?12l[?25h[?25l[?7lsage: AS.de_rham_basis()

+[?7h[?12l[?25h[?2004l[?7h[( (1) * dx, 0 ),
+ ( (x^2*z0 + z1) * dx, 0 ),
+ ( (z0) * dx, 0 ),
+ ( (x) * dx, 0 ),
+ ( (x*z0) * dx, 0 ),
+ ( (x^2) * dx, 0 ),
+ ( (x^3) * dx, 0 ),
+ ( (x^5) * dx, z1/x ),
+ ( (0) * dx, z0/x ),
+ ( (x^5*z0 + x*z1) * dx, z0*z1/x ),
+ ( (x^4) * dx, z1/x^2 ),
+ ( (x^4*z0 + z1) * dx, z0*z1/x^2 ),
+ ( (x^3*z0) * dx, z0*z1/x^3 ),
+ ( (x^2*z0) * dx, z0*z1/x^4 )]
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ sage
+┌────────────────────────────────────────────────────────────────────┐
+│ SageMath version 9.7, Release Date: 2022-09-19                     │
+│ Using Python 3.10.5. Type "help()" for help.                       │
+└────────────────────────────────────────────────────────────────────┘
+]0;IPython: DeRhamComputation/sage[?2004h[?1l[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lquo_rem(x^10 + x^8 + x^6 - x^4, x^2 - 1)[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: quit()

+[?7h[?12l[?25h[?2004l]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ ]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ 
]0;~/Research/2021 De Rham/DeRhamComputation/sage~/Research/2021 De Rham/DeRhamComputation/sage$ sage
+┌────────────────────────────────────────────────────────────────────┐
+│ SageMath version 9.7, Release Date: 2022-09-19                     │
+│ Using Python 3.10.5. Type "help()" for help.                       │
+└────────────────────────────────────────────────────────────────────┘
+]0;IPython: DeRhamComputation/sage[?2004h[?1l[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l5 3 4 2
+9 3 6 4
+9 7 7 5
+13 3 8 6
+13 7 9 7
+13 11 10 8
+17 3 10 8
+17 7 11 9
+17 11 12 10
+17 15 13 11
+21 3 12 10
+21 7 13 11
+21 11 14 12
+21 15 15 13
+21 19 16 14
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7lsage: C

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+NameError                                 Traceback (most recent call last)
+Input In [2], in <cell line: 1>()
+----> 1 C
+
+NameError: name 'C' is not defined
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7l = superelliptic(x^3 + 1, 2)[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7lsuperelliptic(x^3 + 1, 2)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsuper[?7h[?12l[?25h[?25l[?7lsupe[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l(1, 0)
+---------------------------------------------------------------------------
+TypeError                                 Traceback (most recent call last)
+Input In [3], in <cell line: 1>()
+----> 1 load('init.sage')
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:28, in <module>
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:17, in <module>
+
+File <string>:327, in coordinates(self, basis)
+
+TypeError: 'superelliptic' object is not callable
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l(1, 0)
+aux V(smth) (V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx), [0], V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx))
+---------------------------------------------------------------------------
+KeyError                                  Traceback (most recent call last)
+Input In [4], in <cell line: 1>()
+----> 1 load('init.sage')
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:28, in <module>
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:17, in <module>
+
+File <string>:338, in coordinates(self, basis)
+
+File <string>:66, in coordinates(self)
+
+KeyError: (1, 1)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7lsage: C

+[?7h[?12l[?25h[?2004l[?7hSuperelliptic curve with the equation y^2 = x^3 + 2*x over Finite Field of size 3
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l(1, 0)
+aux V(smth) (V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx), [0], V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx))
+aux.omega0.omega.cartier() ((-x + 1)/y) dx
+---------------------------------------------------------------------------
+KeyError                                  Traceback (most recent call last)
+Input In [6], in <cell line: 1>()
+----> 1 load('init.sage')
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:28, in <module>
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:17, in <module>
+
+File <string>:339, in coordinates(self, basis)
+
+File <string>:66, in coordinates(self)
+
+KeyError: (1, 1)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l(1, 0)
+aux before reduce (V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx) + dV([((2*x^2 + 2*x + 2)/(x^2 + x))*y]), V((2/(x^2 + x))*y), V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx) + dV([2*y]))
+aux V(smth) (V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx), [0], V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx))
+aux.omega0.omega.cartier() ((-x + 1)/y) dx
+---------------------------------------------------------------------------
+KeyError                                  Traceback (most recent call last)
+Input In [7], in <cell line: 1>()
+----> 1 load('init.sage')
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:28, in <module>
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:17, in <module>
+
+File <string>:340, in coordinates(self, basis)
+
+File <string>:66, in coordinates(self)
+
+KeyError: (1, 1)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l(1, 0)
+aux before reduce (V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx) + dV([((2*x^2 + 2*x + 2)/(x^2 + x))*y]), V((2/(x^2 + x))*y), V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx) + dV([2*y]))
+aux V(smth) (V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx), [0], V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx))
+aux.omega0.omega.cartier() ((-x + 1)/y) dx
+---------------------------------------------------------------------------
+KeyError                                  Traceback (most recent call last)
+Input In [8], in <cell line: 1>()
+----> 1 load('init.sage')
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:28, in <module>
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:17, in <module>
+
+File <string>:340, in coordinates(self, basis)
+
+File <string>:66, in coordinates(self)
+
+KeyError: (1, 1)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lbbb[0].function.numerator().exponents()[?7h[?12l[?25h[?25l[?7l[0].coordinates(basis = b[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7lsage: b[0]

+[?7h[?12l[?25h[?2004l[?7h([(1/(x^3 + 2*x))*y] d[x] + V(((x^7 - x^3 - x)/(x^2*y - y)) dx) + dV([((2*x^3 + 2*x)/(x^2 + 2))*y]), V(1/x*y), [(1/(x^3 + 2*x))*y] d[x] + V(((x^7 - x^3 - x)/(x^2*y - y)) dx) + dV([((2*x^4 + x^2 + 1)/(x^3 + 2*x))*y]))
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7la = F.gens()[0][?7h[?12l[?25h[?25l[?7lutom(b[0]).reduce(), (4*b[0] + 6*b[1]).reduce()[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l0]).reduce(), (4*b[0] + 6*b[1]).reduce()[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l() == 4*b[0]+ 6*b[1][?7h[?12l[?25h[?25l[?7l-[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7lsage: autom(b[0]) - b[0]

+[?7h[?12l[?25h[?2004l[?7h(V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx) + dV([((2*x^2 + 2*x + 2)/(x^2 + x))*y]), V((2/(x^2 + x))*y), V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx) + dV([2*y]))
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l((-C.x^6 - C.x^4 + C.x^2 - C.x + C.one)/(C.x^2*C.y + C.x*C.y)) *C.dx[?7h[?12l[?25h[?25l[?7lsage: ((-C.x^6 - C.x^4 + C.x^2 - C.x + C.one)/(C.x^2*C.y + C.x*C.y)) *C.dx

+[?7h[?12l[?25h[?2004l[?7h((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l((-C.x^6 - C.x^4 + C.x^2 - C.x + C.one)/(C.x^2*C.y + C.x*C.y)) *C.dx[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(((-C.x^6 - C.x^4 + C.x^2 - C.x + C.one)/(C.x^2*C.y + C.x*C.y)) *C.dx)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l().[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7ly[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: (((-C.x^6 - C.x^4 + C.x^2 - C.x + C.one)/(C.x^2*C.y + C.x*C.y)) *C.dx).expansion_at_infty()

+[?7h[?12l[?25h[?2004l[?7h2*t^-8 + t^-6 + t^-4 + t^-2 + 2 + O(t^2)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lb[0][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lb[0][?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[].coordinates(basis = b)[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lordinates(basis = b)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: b[0].coordinates()

+[?7h[?12l[?25h[?2004l(1, 0)
+aux before reduce (0, [0], 0)
+aux V(smth) (0, [0], 0)
+aux.omega0.omega.cartier() 0 dx
+---------------------------------------------------------------------------
+TypeError                                 Traceback (most recent call last)
+Input In [13], in <cell line: 1>()
+----> 1 b[Integer(0)].coordinates()
+
+File <string>:341, in coordinates(self, basis)
+
+TypeError: 'superelliptic_cech' object is not iterable
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l(1, 0)
+aux before reduce (V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx) + dV([((2*x^2 + 2*x + 2)/(x^2 + x))*y]), V((2/(x^2 + x))*y), V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx) + dV([2*y]))
+aux V(smth) (V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx), [0], V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx))
+aux.omega0.omega.cartier() ((-x + 1)/y) dx
+---------------------------------------------------------------------------
+KeyError                                  Traceback (most recent call last)
+Input In [14], in <cell line: 1>()
+----> 1 load('init.sage')
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:28, in <module>
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:17, in <module>
+
+File <string>:340, in coordinates(self, basis)
+
+File <string>:66, in coordinates(self)
+
+KeyError: (1, 1)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lb[0].coordinates()[?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l].coordinates()[?7h[?12l[?25h[?25l[?7lsage: b[0].coordinates()

+[?7h[?12l[?25h[?2004l(1, 0)
+aux before reduce (0, [0], 0)
+aux V(smth) (0, [0], 0)
+aux.omega0.omega.cartier() 0 dx
+---------------------------------------------------------------------------
+AttributeError                            Traceback (most recent call last)
+File /ext/sage/9.7/src/sage/misc/functional.py:999, in lift(x)
+    998 try:
+--> 999     return x.lift()
+   1000 except AttributeError:
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:494, in sage.structure.element.Element.__getattr__()
+    493 """
+--> 494 return self.getattr_from_category(name)
+    495 
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:507, in sage.structure.element.Element.getattr_from_category()
+    506     cls = P._abstract_element_class
+--> 507 return getattr_from_other_class(self, cls, name)
+    508 
+
+File /ext/sage/9.7/src/sage/cpython/getattr.pyx:361, in sage.cpython.getattr.getattr_from_other_class()
+    360     dummy_error_message.name = name
+--> 361     raise AttributeError(dummy_error_message)
+    362 attribute = <object>attr
+
+AttributeError: 'sage.rings.integer.Integer' object has no attribute 'lift'
+
+During handling of the above exception, another exception occurred:
+
+ArithmeticError                           Traceback (most recent call last)
+Input In [15], in <cell line: 1>()
+----> 1 b[Integer(0)].coordinates()
+
+File <string>:341, in coordinates(self, basis)
+
+File <string>:341, in <listcomp>(.0)
+
+File /ext/sage/9.7/src/sage/misc/functional.py:1001, in lift(x)
+    999     return x.lift()
+   1000 except AttributeError:
+-> 1001     raise ArithmeticError("no lift defined.")
+
+ArithmeticError: no lift defined.
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l(1, 0)
+aux before reduce (V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx) + dV([((2*x^2 + 2*x + 2)/(x^2 + x))*y]), V((2/(x^2 + x))*y), V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx) + dV([2*y]))
+aux V(smth) (V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx), [0], V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx))
+aux.omega0.omega.cartier() ((-x + 1)/y) dx
+---------------------------------------------------------------------------
+KeyError                                  Traceback (most recent call last)
+Input In [16], in <cell line: 1>()
+----> 1 load('init.sage')
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:28, in <module>
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:17, in <module>
+
+File <string>:340, in coordinates(self, basis)
+
+File <string>:66, in coordinates(self)
+
+KeyError: (1, 1)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lb[0].coordinates()[?7h[?12l[?25h[?25l[?7lsage: b[0].coordinates()

+[?7h[?12l[?25h[?2004l(1, 0)
+aux before reduce (0, [0], 0)
+aux V(smth) (0, [0], 0)
+aux.omega0.omega.cartier() 0 dx
+[<class 'sage.rings.integer.Integer'>, <class 'sage.rings.integer.Integer'>]
+---------------------------------------------------------------------------
+AttributeError                            Traceback (most recent call last)
+File /ext/sage/9.7/src/sage/misc/functional.py:999, in lift(x)
+    998 try:
+--> 999     return x.lift()
+   1000 except AttributeError:
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:494, in sage.structure.element.Element.__getattr__()
+    493 """
+--> 494 return self.getattr_from_category(name)
+    495 
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:507, in sage.structure.element.Element.getattr_from_category()
+    506     cls = P._abstract_element_class
+--> 507 return getattr_from_other_class(self, cls, name)
+    508 
+
+File /ext/sage/9.7/src/sage/cpython/getattr.pyx:361, in sage.cpython.getattr.getattr_from_other_class()
+    360     dummy_error_message.name = name
+--> 361     raise AttributeError(dummy_error_message)
+    362 attribute = <object>attr
+
+AttributeError: 'sage.rings.integer.Integer' object has no attribute 'lift'
+
+During handling of the above exception, another exception occurred:
+
+ArithmeticError                           Traceback (most recent call last)
+Input In [17], in <cell line: 1>()
+----> 1 b[Integer(0)].coordinates()
+
+File <string>:342, in coordinates(self, basis)
+
+File <string>:342, in <listcomp>(.0)
+
+File /ext/sage/9.7/src/sage/misc/functional.py:1001, in lift(x)
+    999     return x.lift()
+   1000 except AttributeError:
+-> 1001     raise ArithmeticError("no lift defined.")
+
+ArithmeticError: no lift defined.
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lconvert_super_fct_into_AS(a.f)[?7h[?12l[?25h[?25l[?7lsage: c = C.x.teichmuller() * C.y.teichmuller().diffn() + 3 * (C.x^3).teichmuller() * C.y.teichmuller().diffn() + (2*(C.x^4 + C.x^2 + C.one) * C.y).verschiebung()
.

+....: diffn()[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7ld

+ [?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7lh[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: c = C.de_rham_basis()

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lc = C.de_rham_basis()[?7h[?12l[?25h[?25l[?7l.frobenius()[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lfc.cordinates()[?7h[?12l[?25h[?25l[?7loc.cordinates()[?7h[?12l[?25h[?25l[?7lrc.cordinates()[?7h[?12l[?25h[?25l[?7lfor c.cordinates()[?7h[?12l[?25h[?25l[?7lac.cordinates()[?7h[?12l[?25h[?25l[?7l c.cordinates()[?7h[?12l[?25h[?25l[?7lic.cordinates()[?7h[?12l[?25h[?25l[?7lnc.cordinates()[?7h[?12l[?25h[?25l[?7lin c.cordinates()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l():[?7h[?12l[?25h[?25l[?7l"[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: for a in c.coordinates():

+....: [?7h[?12l[?25h[?25l[?7lprint(v1)[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lprint[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7ltype(a))[?7h[?12l[?25h[?25l[?7ly[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ltype(a)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l....:     print(type(a))

+....: [?7h[?12l[?25h[?25l[?7lsage: for a in c.coordinates():

+....:     print(type(a))

+....: 

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+AttributeError                            Traceback (most recent call last)
+Input In [19], in <cell line: 1>()
+----> 1 for a in c.coordinates():
+      2     print(type(a))
+
+AttributeError: 'list' object has no attribute 'coordinates'
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: for a in c.coordinates():

+....:     print(type(a))[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[.cordinates():[?7h[?12l[?25h[?25l[?7l0.cordinates():[?7h[?12l[?25h[?25l[?7l[0].cordinates():[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l

+()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l....:     print(type(a))

+....: [?7h[?12l[?25h[?25l[?7lsage: for a in c[0].coordinates():

+....:     print(type(a))

+....: 

+[?7h[?12l[?25h[?2004l<class 'sage.rings.finite_rings.integer_mod.IntegerMod_int'>
+<class 'sage.rings.finite_rings.integer_mod.IntegerMod_int'>
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lRx.<x> = PolynomialRing(GF(2))[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l5[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lI[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lg[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l5[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()([?7h[?12l[?25h[?25l[?7l2[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7laIntegers(5)(2)[?7h[?12l[?25h[?25l[?7l Integers(5)(2)[?7h[?12l[?25h[?25l[?7l=Integers(5)(2)[?7h[?12l[?25h[?25l[?7l Integers(5)(2)[?7h[?12l[?25h[?25l[?7lsage: a = Integers(5)(2)

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7la = Integers(5)(2)[?7h[?12l[?25h[?25l[?7l^[?7h[?12l[?25h[?25l[?7l3[?7h[?12l[?25h[?25l[?7lsage: a^3

+[?7h[?12l[?25h[?2004l[?7h3
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lZ[?7h[?12l[?25h[?25l[?7lZ[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: ZZ(a)

+[?7h[?12l[?25h[?2004l[?7h2
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l(1, 0)
+aux before reduce (V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx) + dV([((2*x^2 + 2*x + 2)/(x^2 + x))*y]), V((2/(x^2 + x))*y), V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx) + dV([2*y]))
+aux V(smth) (V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx), [0], V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx))
+aux.omega0.omega.cartier() ((-x + 1)/y) dx
+---------------------------------------------------------------------------
+KeyError                                  Traceback (most recent call last)
+Input In [24], in <cell line: 1>()
+----> 1 load('init.sage')
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:28, in <module>
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:17, in <module>
+
+File <string>:340, in coordinates(self, basis)
+
+File <string>:66, in coordinates(self)
+
+KeyError: (1, 1)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lZZ(a)[?7h[?12l[?25h[?25l[?7la^3[?7h[?12l[?25h[?25l[?7l = Integers(5)(2)[?7h[?12l[?25h[?25l[?7lsage: for a in c[0].coordinates():

+....:     print(type(a))[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l.coordinates():

+()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lc =C.de_rham_basis()

+ [?7h[?12l[?25h[?25l[?7lb[0].coordinates()[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lb[0].coordinates()[?7h[?12l[?25h[?25l[?7lsage: b[0].coordinates()

+[?7h[?12l[?25h[?2004l(1, 0)
+aux before reduce (0, [0], 0)
+aux V(smth) (0, [0], 0)
+aux.omega0.omega.cartier() 0 dx
+[?7h[1, 0]
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lM[?7h[?12l[?25h[?25l[?7l = matrix([v1, v1, v1])[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ltrix([v1, v1, v1])[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l])[?7h[?12l[?25h[?25l[?7l])[?7h[?12l[?25h[?25l[?7l])[?7h[?12l[?25h[?25l[?7l])[?7h[?12l[?25h[?25l[?7l])[?7h[?12l[?25h[?25l[?7l])[?7h[?12l[?25h[?25l[?7l])[?7h[?12l[?25h[?25l[?7l])[?7h[?12l[?25h[?25l[?7l])[?7h[?12l[?25h[?25l[?7l])[?7h[?12l[?25h[?25l[?7l[[])[?7h[?12l[?25h[?25l[?7l[[]])[?7h[?12l[?25h[?25l[?7l[[]][?7h[?12l[?25h[?25l[?7l4]])[?7h[?12l[?25h[?25l[?7l,]])[?7h[?12l[?25h[?25l[?7l ]])[?7h[?12l[?25h[?25l[?7l4]])[?7h[?12l[?25h[?25l[?7l[[]][?7h[?12l[?25h[?25l[?7l,])[?7h[?12l[?25h[?25l[?7l ])[?7h[?12l[?25h[?25l[?7l[[])[?7h[?12l[?25h[?25l[?7l6])[?7h[?12l[?25h[?25l[?7l,])[?7h[?12l[?25h[?25l[?7l ])[?7h[?12l[?25h[?25l[?7l4])[?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: M = matrix([[4, 4], [6, 4])

+....: [?7h[?12l[?25h[?25l[?7lM[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l....: 

+....: [?7h[?12l[?25h[?25l[?7l....: 

+....: [?7h[?12l[?25h[?25l[?7l;[?7h[?12l[?25h[?25l[?7l....: ;

+....: [?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7lsage: M = matrix([[4, 4], [6, 4])

+....: 

+....: 

+....: ;

+....: )

+[?7h[?12l[?25h[?2004l  Input In [26]
+    M = matrix([[Integer(4), Integer(4)], [Integer(6), Integer(4)])
+                                                                  ^
+SyntaxError: closing parenthesis ')' does not match opening parenthesis '['
+
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: M = matrix([[4, 4], [6, 4])

+....: 

+....: 

+....: ;

+....: )[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7l()

+ [?7h[?12l[?25h[?25l[?7l([][?7h[?12l[?25h[?25l[?7l[[]][?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7lsage: M = matrix([[4, 4], [6, 4]])

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: 

+

+

+ [?7h[?12l[?25h[?25l[?7lM = matrix([[4, 4], [6, 4]])[?7h[?12l[?25h[?25l[?7l^[?7h[?12l[?25h[?25l[?7l3[?7h[?12l[?25h[?25l[?7lsage: M^3

+[?7h[?12l[?25h[?2004l[?7h[352 288]
+[432 352]
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l3*a[?7h[?12l[?25h[?25l[?7l5[?7h[?12l[?25h[?25l[?7l2[?7h[?12l[?25h[?25l[?7l%[?7h[?12l[?25h[?25l[?7l9[?7h[?12l[?25h[?25l[?7lsage: 352%9

+[?7h[?12l[?25h[?2004l[?7h1
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l352%9[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l%9[?7h[?12l[?25h[?25l[?7l%9[?7h[?12l[?25h[?25l[?7l%9[?7h[?12l[?25h[?25l[?7l2%9[?7h[?12l[?25h[?25l[?7l8%9[?7h[?12l[?25h[?25l[?7l8%9[?7h[?12l[?25h[?25l[?7l8%9[?7h[?12l[?25h[?25l[?7l%9[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: 288%9

+[?7h[?12l[?25h[?2004l[?7h0
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lb[0].coordinates()[?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7lsage: b[0]

+[?7h[?12l[?25h[?2004l[?7h([(1/(x^3 + 2*x))*y] d[x] + V(((x^7 - x^3 - x)/(x^2*y - y)) dx) + dV([((2*x^3 + 2*x)/(x^2 + 2))*y]), V(1/x*y), [(1/(x^3 + 2*x))*y] d[x] + V(((x^7 - x^3 - x)/(x^2*y - y)) dx) + dV([((2*x^4 + x^2 + 1)/(x^3 + 2*x))*y]))
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lb[0][?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[].coordinates()[?7h[?12l[?25h[?25l[?7lr()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: b[0].r()

+[?7h[?12l[?25h[?2004l[?7h((1/y) dx, 0, (1/y) dx)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7la^3[?7h[?12l[?25h[?25l[?7lutom(b[0]) - b[0][?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7l(b[0]) - b[0][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l4b[0][?7h[?12l[?25h[?25l[?7l*b[0][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[]-[?7h[?12l[?25h[?25l[?7l5[?7h[?12l[?25h[?25l[?7l*[?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7lsage: autom(b[0]) - 4*b[0]-5*b[1]

+[?7h[?12l[?25h[?2004l^C---------------------------------------------------------------------------
+KeyboardInterrupt                         Traceback (most recent call last)
+File <string>:59, in __mul__(self, other)
+
+File <string>:226, in reduction(C, g)
+
+File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
+    896 if no_extra_args:
+--> 897     return mor._call_(x)
+    898 else:
+
+File /ext/sage/9.7/src/sage/structure/coerce_maps.pyx:156, in sage.structure.coerce_maps.DefaultConvertMap_unique._call_()
+    155 try:
+--> 156     return C._element_constructor(x)
+    157 except Exception:
+
+File /ext/sage/9.7/src/sage/rings/polynomial/multi_polynomial_libsingular.pyx:1003, in sage.rings.polynomial.multi_polynomial_libsingular.MPolynomialRing_libsingular._element_constructor_()
+   1002 try:
+-> 1003     return self(str(element))
+   1004 except TypeError:
+
+File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
+    896 if no_extra_args:
+--> 897     return mor._call_(x)
+    898 else:
+
+File /ext/sage/9.7/src/sage/structure/coerce_maps.pyx:156, in sage.structure.coerce_maps.DefaultConvertMap_unique._call_()
+    155 try:
+--> 156     return C._element_constructor(x)
+    157 except Exception:
+
+File /ext/sage/9.7/src/sage/rings/polynomial/multi_polynomial_libsingular.pyx:991, in sage.rings.polynomial.multi_polynomial_libsingular.MPolynomialRing_libsingular._element_constructor_()
+    990         element = element.replace("^","**")
+--> 991         element = eval(element, d, {})
+    992 except (SyntaxError, NameError):
+
+File <string>:1, in <module>
+
+File src/cysignals/signals.pyx:310, in cysignals.signals.python_check_interrupt()
+
+KeyboardInterrupt: 
+
+During handling of the above exception, another exception occurred:
+
+AttributeError                            Traceback (most recent call last)
+Input In [33], in <cell line: 1>()
+----> 1 autom(b[Integer(0)]) - Integer(4)*b[Integer(0)]-Integer(5)*b[Integer(1)]
+
+File <string>:301, in __sub__(self, other)
+
+File <string>:266, in __init__(self, omega0, f)
+
+File <string>:88, in diffn(self)
+
+File <string>:100, in diffn(self)
+
+File <string>:66, in __mul__(self, other)
+
+File <string>:63, in __mul__(self, other)
+
+AttributeError: 'superelliptic_function' object has no attribute 'form'
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lautom(b[0]) - 4*b[0]-5*b[1][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l*b[1][?7h[?12l[?25h[?25l[?7l6*b[1][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: autom(b[0]) - 4*b[0]-6*b[1]

+[?7h[?12l[?25h[?2004l^C---------------------------------------------------------------------------
+KeyboardInterrupt                         Traceback (most recent call last)
+Input In [34], in <cell line: 1>()
+----> 1 autom(b[Integer(0)]) - Integer(4)*b[Integer(0)]-Integer(6)*b[Integer(1)]
+
+File <string>:393, in autom(self)
+
+File <string>:266, in __init__(self, omega0, f)
+
+File <string>:219, in __sub__(self, other)
+
+File <string>:229, in __add__(self, other)
+
+File <string>:65, in __mul__(self, other)
+
+File <string>:82, in __pow__(self, exp)
+
+File <string>:14, in __init__(self, C, g)
+
+File <string>:216, in reduction(C, g)
+
+File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
+    895 if mor is not None:
+    896     if no_extra_args:
+--> 897         return mor._call_(x)
+    898     else:
+    899         return mor._call_with_args(x, args, kwds)
+
+File /ext/sage/9.7/src/sage/structure/coerce_maps.pyx:156, in sage.structure.coerce_maps.DefaultConvertMap_unique._call_()
+    154 cdef Parent C = self._codomain
+    155 try:
+--> 156     return C._element_constructor(x)
+    157 except Exception:
+    158     if print_warnings:
+
+File /ext/sage/9.7/src/sage/rings/fraction_field.py:638, in FractionField_generic._element_constructor_(self, x, y, coerce)
+    636 ring_one = self.ring().one()
+    637 try:
+--> 638     return self._element_class(self, x, ring_one, coerce=coerce)
+    639 except (TypeError, ValueError):
+    640     pass
+
+File /ext/sage/9.7/src/sage/rings/fraction_field_element.pyx:114, in sage.rings.fraction_field_element.FractionFieldElement.__init__()
+    112 FieldElement.__init__(self, parent)
+    113 if coerce:
+--> 114     self.__numerator   = parent.ring()(numerator)
+    115     self.__denominator = parent.ring()(denominator)
+    116 else:
+
+File /ext/sage/9.7/src/sage/structure/parent.pyx:897, in sage.structure.parent.Parent.__call__()
+    895 if mor is not None:
+    896     if no_extra_args:
+--> 897         return mor._call_(x)
+    898     else:
+    899         return mor._call_with_args(x, args, kwds)
+
+File /ext/sage/9.7/src/sage/structure/coerce_maps.pyx:156, in sage.structure.coerce_maps.DefaultConvertMap_unique._call_()
+    154 cdef Parent C = self._codomain
+    155 try:
+--> 156     return C._element_constructor(x)
+    157 except Exception:
+    158     if print_warnings:
+
+File /ext/sage/9.7/src/sage/rings/polynomial/multi_polynomial_libsingular.pyx:1003, in sage.rings.polynomial.multi_polynomial_libsingular.MPolynomialRing_libsingular._element_constructor_()
+   1001 
+   1002         try:
+-> 1003             return self(str(element))
+   1004         except TypeError:
+   1005             pass
+
+File /ext/sage/9.7/src/sage/structure/sage_object.pyx:194, in sage.structure.sage_object.SageObject.__repr__()
+    192 except AttributeError:
+    193     return super().__repr__()
+--> 194 result = reprfunc()
+    195 if isinstance(result, str):
+    196     return result
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_element.pyx:2690, in sage.rings.polynomial.polynomial_element.Polynomial._repr_()
+   2688         NotImplementedError: object does not support renaming: x^3 + 2/3*x^2 - 5/3
+   2689     """
+-> 2690     return self._repr()
+   2691 
+   2692 def _latex_(self, name=None):
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_element.pyx:2656, in sage.rings.polynomial.polynomial_element.Polynomial._repr()
+   2654 if n != m-1:
+   2655     s += " + "
+-> 2656 x = y = repr(x)
+   2657 if y.find("-") == 0:
+   2658     y = y[1:]
+
+File /ext/sage/9.7/src/sage/structure/sage_object.pyx:194, in sage.structure.sage_object.SageObject.__repr__()
+    192 except AttributeError:
+    193     return super().__repr__()
+--> 194 result = reprfunc()
+    195 if isinstance(result, str):
+    196     return result
+
+File /ext/sage/9.7/src/sage/rings/fraction_field_FpT.pyx:340, in sage.rings.fraction_field_FpT.FpTElement._repr_()
+    338     return repr(self.numer())
+    339 else:
+--> 340     numer_s = repr(self.numer())
+    341     denom_s = repr(self.denom())
+    342     if '-' in numer_s or '+' in numer_s:
+
+File /ext/sage/9.7/src/sage/structure/sage_object.pyx:194, in sage.structure.sage_object.SageObject.__repr__()
+    192 except AttributeError:
+    193     return super().__repr__()
+--> 194 result = reprfunc()
+    195 if isinstance(result, str):
+    196     return result
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_element.pyx:2690, in sage.rings.polynomial.polynomial_element.Polynomial._repr_()
+   2688         NotImplementedError: object does not support renaming: x^3 + 2/3*x^2 - 5/3
+   2689     """
+-> 2690     return self._repr()
+   2691 
+   2692 def _latex_(self, name=None):
+
+File /ext/sage/9.7/src/sage/rings/polynomial/polynomial_element.pyx:2667, in sage.rings.polynomial.polynomial_element.Polynomial._repr()
+   2665         else:
+   2666             var = ""
+-> 2667         s += "%s%s"%(x,var)
+   2668 s = s.replace(" + -", " - ")
+   2669 s = re.sub(r' 1(\.0+)?\*',' ', s)
+
+File src/cysignals/signals.pyx:310, in cysignals.signals.python_check_interrupt()
+
+KeyboardInterrupt: 
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lautom(b[0]) - 4*b[0]-6*b[1][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l4*b[0][?7h[?12l[?25h[?25l[?7l4*b[0][?7h[?12l[?25h[?25l[?7l()4*b[0][?7h[?12l[?25h[?25l[?7l([]4*b[0][?7h[?12l[?25h[?25l[?7l[4*b[0][?7h[?12l[?25h[?25l[?7l4*b[0][?7h[?12l[?25h[?25l[?7l4*b[0][?7h[?12l[?25h[?25l[?7l4*b[0][?7h[?12l[?25h[?25l[?7l4*b[0][?7h[?12l[?25h[?25l[?7l4*b[0][?7h[?12l[?25h[?25l[?7l4*b[0][?7h[?12l[?25h[?25l[?7l4*b[0][?7h[?12l[?25h[?25l[?7l4*b[0][?7h[?12l[?25h[?25l[?7l4*b[0][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: 4*b[0]

+[?7h[?12l[?25h[?2004l[?7h([(1/(x^3 + 2*x))*y] d[x] + V(((x^5 + x^3)/y) dx) + dV([((2*x^3 + 2*x)/(x^2 + 2))*y]), V(1/x*y), [(1/(x^3 + 2*x))*y] d[x] + V(((x^5 + x^3)/y) dx) + dV([((2*x^4 + x^2 + 1)/(x^3 + 2*x))*y]))
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l6[?7h[?12l[?25h[?25l[?7l*[?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7lsage: 6*b[1]

+[?7h[?12l[?25h[?2004l[?7h(V(((-x^4)/(x^2*y - y)) dx), V(((x^2 + 2)/x^2)*y), V(((-x^4)/(x^2*y - y)) dx) + dV([((2*x^2 + 1)/x^2)*y]))
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lAS.de_rham_basis()[?7h[?12l[?25h[?25l[?7l = C2.de_rhm_basis()[?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7l4[?7h[?12l[?25h[?25l[?7l*[?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7lsage: A = 4*b[0]

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lB = C2.crystalline_cohomology_basis(prec = 100)[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7l=[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7l6[?7h[?12l[?25h[?25l[?7l*[?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7lsage: B = 6*b[1]

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7l = superelliptic(x^3 + 1, 2)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l= superelliptic(x^3 + 1, 2)[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7lsage: C = autom(b[0])

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC = autom(b[0])[?7h[?12l[?25h[?25l[?7l [?7h[?12l[?25h[?25l[?7l-[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7l-[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l-[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lB[?7h[?12l[?25h[?25l[?7lsage: C - A - B

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+AttributeError                            Traceback (most recent call last)
+Input In [40], in <cell line: 1>()
+----> 1 C - A - B
+
+File <string>:301, in __sub__(self, other)
+
+File <string>:219, in __sub__(self, other)
+
+File <string>:229, in __add__(self, other)
+
+File <string>:65, in __mul__(self, other)
+
+AttributeError: 'superelliptic_drw_cech' object has no attribute 'x'
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC - A - B[?7h[?12l[?25h[?25l[?7lsage: C

+[?7h[?12l[?25h[?2004l[?7h([(1/(x^3 + 2*x))*y] d[x] + V(((x^7 + x^6 - x^4 + x^3 - 1)/(x^2*y - x*y)) dx) + dV([((2*x^3 + 2*x + 1)/(x^2 + 2*x))*y]), V((1/(x + 1))*y), [(1/(x^3 + 2*x))*y] d[x] + V(((x^7 + x^6 - x^4 + x^3 - 1)/(x^2*y - x*y)) dx) + dV([((2*x^4 + 2*x^3 + x^2 + x + 1)/(x^3 + 2*x))*y]))
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l(1, 0)
+aux before reduce (V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx) + dV([((2*x^2 + 2*x + 2)/(x^2 + x))*y]), V((2/(x^2 + x))*y), V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx) + dV([2*y]))
+aux V(smth) (V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx), [0], V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx))
+aux.omega0.omega.cartier() ((-x + 1)/y) dx
+---------------------------------------------------------------------------
+KeyError                                  Traceback (most recent call last)
+Input In [42], in <cell line: 1>()
+----> 1 load('init.sage')
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:28, in <module>
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:17, in <module>
+
+File <string>:340, in coordinates(self, basis)
+
+File <string>:66, in coordinates(self)
+
+KeyError: (1, 1)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7l - A - B[?7h[?12l[?25h[?25l[?7l=autom(b[0])[?7h[?12l[?25h[?25l[?7lB6*b[1][?7h[?12l[?25h[?25l[?7lA40[?7h[?12l[?25h[?25l[?7lsage: A = 4*b[0]

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA = 4*b[0][?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7l - A - B[?7h[?12l[?25h[?25l[?7l=autom(b[0])[?7h[?12l[?25h[?25l[?7lB6*b[1][?7h[?12l[?25h[?25l[?7lsage: B = 6*b[1]

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lB = 6*b[1][?7h[?12l[?25h[?25l[?7lA40[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7l - A - B[?7h[?12l[?25h[?25l[?7l=autom(b[0])[?7h[?12l[?25h[?25l[?7lsage: C = autom(b[0])

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC = autom(b[0])[?7h[?12l[?25h[?25l[?7l-[?7h[?12l[?25h[?25l[?7lA[?7h[?12l[?25h[?25l[?7l-[?7h[?12l[?25h[?25l[?7lB[?7h[?12l[?25h[?25l[?7lsage: C-A-B

+[?7h[?12l[?25h[?2004l[?7h(V(((-x^6 + x^3 - x^2 - x + 1)/(x^2*y + x*y)) dx) + dV([((2*x^2 + 2*x + 2)/(x^2 + x))*y]), V(((2*x^3 + 2*x^2 + 1)/(x^3 + x^2))*y), V(((-x^6 + x^3 - x^2 - x + 1)/(x^2*y + x*y)) dx) + dV([2/x^2*y]))
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC-A-B[?7h[?12l[?25h[?25l[?7l-[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lA-B[?7h[?12l[?25h[?25l[?7l-[?7h[?12l[?25h[?25l[?7lB[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(C-A-B[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l().[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lg[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lg[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7lsage: (C-A-B).omega0.omega.frobenius

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+AttributeError                            Traceback (most recent call last)
+Input In [47], in <cell line: 1>()
+----> 1 (C-A-B).omega0.omega.frobenius
+
+AttributeError: 'superelliptic_form' object has no attribute 'frobenius'
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(C-A-B).omega0.omega.frobenius[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: (C-A-B).omega0.omega.frobenius()

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+AttributeError                            Traceback (most recent call last)
+Input In [48], in <cell line: 1>()
+----> 1 (C-A-B).omega0.omega.frobenius()
+
+AttributeError: 'superelliptic_form' object has no attribute 'frobenius'
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(C-A-B).omega0.omega.frobenius()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lF[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: (C-A-B).omega0.omega.F()

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+AttributeError                            Traceback (most recent call last)
+Input In [49], in <cell line: 1>()
+----> 1 (C-A-B).omega0.omega.F()
+
+AttributeError: 'superelliptic_form' object has no attribute 'F'
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(C-A-B).omega0.omega.F()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lf()[?7h[?12l[?25h[?25l[?7lr()[?7h[?12l[?25h[?25l[?7lo()[?7h[?12l[?25h[?25l[?7lb()[?7h[?12l[?25h[?25l[?7le()[?7h[?12l[?25h[?25l[?7ln()[?7h[?12l[?25h[?25l[?7li()[?7h[?12l[?25h[?25l[?7lu()[?7h[?12l[?25h[?25l[?7ls()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: (C-A-B).omega0.frobenius()

+[?7h[?12l[?25h[?2004l[?7h((x^2 + x + 1)/(x^2*y + x*y)) dx
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lb[0].r()[?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7lsage: b[0]

+[?7h[?12l[?25h[?2004l[?7h([(1/(x^3 + 2*x))*y] d[x] + V(((x^7 - x^3 - x)/(x^2*y - y)) dx) + dV([((2*x^3 + 2*x)/(x^2 + 2))*y]), V(1/x*y), [(1/(x^3 + 2*x))*y] d[x] + V(((x^7 - x^3 - x)/(x^2*y - y)) dx) + dV([((2*x^4 + x^2 + 1)/(x^3 + 2*x))*y]))
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l(1, 0)
+aux before reduce (V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx) + dV([((2*x^2 + 2*x + 2)/(x^2 + x))*y]), V((2/(x^2 + x))*y), V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx) + dV([2*y]))
+aux V(smth) (V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx), [0], V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx))
+aux.omega0.omega.cartier() ((-x + 1)/y) dx
+---------------------------------------------------------------------------
+KeyError                                  Traceback (most recent call last)
+Input In [52], in <cell line: 1>()
+----> 1 load('init.sage')
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:28, in <module>
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:17, in <module>
+
+File <string>:340, in coordinates(self, basis)
+
+File <string>:66, in coordinates(self)
+
+KeyError: (1, 1)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC.x.teichmuller().diffn()[?7h[?12l[?25h[?25l[?7lsage: C.x.teichmuller().diffn()

+[?7h[?12l[?25h[?2004l[?7h[1] d[x]
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004laux.h2, decomposition_g0_g8(aux.h2, prec=prec) ((x^4 + x^2 + 1)/x^3)*y (x*y, 1/x^3*y, 1/x*y) ((x^4 + 2)/x^3)*y
+aux.h2, decomposition_g0_g8(aux.h2, prec=prec) (x^6/(x^2 + 2))*y ((x^6/(x^2 + 2))*y, 0, 0) (x^6/(x^2 + 2))*y
+(1, 0)
+aux before reduce (V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx) + dV([((2*x^2 + 2*x + 2)/(x^2 + x))*y]), V((2/(x^2 + x))*y), V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx) + dV([2*y]))
+aux V(smth) (V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx), [0], V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx))
+aux.omega0.omega.cartier() ((-x + 1)/y) dx
+---------------------------------------------------------------------------
+KeyError                                  Traceback (most recent call last)
+Input In [54], in <cell line: 1>()
+----> 1 load('init.sage')
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:28, in <module>
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:17, in <module>
+
+File <string>:340, in coordinates(self, basis)
+
+File <string>:66, in coordinates(self)
+
+KeyError: (1, 1)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l((C.x^4 + C.x^2 + C.one)/C.x^3)*C.y[?7h[?12l[?25h[?25l[?7lsage: ((C.x^4 + C.x^2 + C.one)/C.x^3)*C.y

+[?7h[?12l[?25h[?2004l[?7h((x^4 + x^2 + 1)/x^3)*y
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l((C.x^4 + C.x^2 + C.one)/C.x^3)*C.y[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ld((C.x^4 + C.x^2 + C.one)/C.x^3)*C.y[?7h[?12l[?25h[?25l[?7le((C.x^4 + C.x^2 + C.one)/C.x^3)*C.y[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lcomposition_omega0_omega8(fff)[1].expansion_at_infty()[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7lsage: decomposition_omega0_omega8(fff)[1].expansion_at_infty()

+ decomposition_g0_g8        

+ decomposition_omega0_omega8

+

+

+ [?7h[?12l[?25h[?25l[?7lg0_g8

+ decomposition_g0_g8        

+

+ <unknown> [?7h[?12l[?25h[?25l[?7l((3*a).f)

+

+

+[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l((C.x^4 + C.x^2 + C.one)/C.x^3)*C.y[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: decomposition_g0_g8(((C.x^4 + C.x^2 + C.one)/C.x^3)*C.y)

+[?7h[?12l[?25h[?2004l[?7h(x*y, 1/x^3*y, 1/x*y)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7lsage: 

+

+

+ [?7h[?12l[?25h[?25l[?7ldecomposition_g0_g8(((C.x^4 + C.x^2 + C.one)/C.x^3)*C.y)[?7h[?12l[?25h[?25l[?7l()[[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l+[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ldecomposition_g0_g8(((C.x^4 + C.x^2 + C.one)/C.x^3)*C.y)[?7h[?12l[?25h[?25l[?7l()[[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[]+[?7h[?12l[?25h[?25l[?7ldecomposition_g0_g8(((C.x^4 + C.x^
2

+....:  + C.one)/C.x^3)*C.y)[?7h[?12l[?25h[?25l[?7l(

+)[[?7h[?12l[?25h[?25l[?7l2[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l-[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l((C.x^4 + C.x^2 + C.one)/C.x^3)*C.y[?7h[?12l[?25h[?25l[?7lsage: decomposition_g0_g8(((C.x^4 + C.x^2 + C.one)/C.x^3)*C.y)[0] + decomposition_g0_g8(((C.x^4 + C.x^2 + C.one)/C.x^3)*C.y)[1]+decomposition_g0_g8(((C.x^4 + C.x^
2

+....:  + C.one)/C.x^3)*C.y)[2] - ((C.x^4 + C.x^2 + C.one)/C.x^3)*C.y

+[?7h[?12l[?25h[?2004l[?7h0
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: decomposition_g0_g8(((C.x^4 + C.x^2 + C.one)/C.x^3)*C.y)[0] + decomposition_g0_g8(((C.x^4 + C.x^2 + C.one)/C.x^3)*C.y)[1]+decomposition_g0_g8(((C.x^4 + C.x^
2

+....:  + C.one)/C.x^3)*C.y)[2] - ((C.x^4 + C.x^2 + C.one)/C.x^3)*C.y[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7ld

+ [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lposition_g0_g8(((C.x^4 + C.x^2 + C.one)/C.x^3)*C.y)[0] + decomposition_g0_g8(((C.x^4 + C.x^2 + C.one)/C.x^3)*C.y)[1]+decomposition_g0_g8(((C.x^4 + C.x^
2

+....:  + C.one)/C.x^3)*C.y)[2] - ((C.x^4 + C.x^2 + C.one)/C.x^3)*C.y[?7h[?12l[?25h[?25l[?7losition

+....:  + C.one)/C.x decomposition              2 + C.one)/C.x^3)*C.y

+ decomposition_g0_g8        

+ decomposition_omega0_omega8

+

+ [?7h[?12l[?25h[?25l[?7l

+ decomposition              

+

+

+ <unknown> [?7h[?12l[?25h[?25l[?7l_g0_g8

+                    decomposition              

+ decomposition_g0_g8        [?7h[?12l[?25h[?25l[?7lomea0_omega8

+

+ decomposition_g0_g8        

+ decomposition_omega0_omega8[?7h[?12l[?25h[?25l[?7l(fff)[1].expansion_at_infty()

+

+

+

+[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lxi.omega0)[?7h[?12l[?25h[?25l[?7l*[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l*[?7h[?12l[?25h[?25l[?7lD[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7ly[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()^[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l-[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l().[?7h[?12l[?25h[?25l[?7lD[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: decomposition_omega0_omega8(C.x*(C.y)^(-1).C.dx)

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+AttributeError                            Traceback (most recent call last)
+Input In [58], in <cell line: 1>()
+----> 1 decomposition_omega0_omega8(C.x*(C.y)**(-Integer(1)).C.dx)
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:494, in sage.structure.element.Element.__getattr__()
+    492         AttributeError: 'LeftZeroSemigroup_with_category.element_class' object has no attribute 'blah_blah'
+    493     """
+--> 494     return self.getattr_from_category(name)
+    495 
+    496 cdef getattr_from_category(self, name):
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:507, in sage.structure.element.Element.getattr_from_category()
+    505     else:
+    506         cls = P._abstract_element_class
+--> 507     return getattr_from_other_class(self, cls, name)
+    508 
+    509 def __dir__(self):
+
+File /ext/sage/9.7/src/sage/cpython/getattr.pyx:361, in sage.cpython.getattr.getattr_from_other_class()
+    359     dummy_error_message.cls = type(self)
+    360     dummy_error_message.name = name
+--> 361     raise AttributeError(dummy_error_message)
+    362 attribute = <object>attr
+    363 # Check for a descriptor (__get__ in Python)
+
+AttributeError: 'sage.rings.integer.Integer' object has no attribute 'C'
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ldecomposition_omega0_omega8(C.x*(C.y)^(-1).C.dx)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()C.dx)[?7h[?12l[?25h[?25l[?7l()*C.dx)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: decomposition_omega0_omega8(C.x*(C.y)^(-1)*C.dx)

+[?7h[?12l[?25h[?2004l[?7h((x/y) dx, 0 dx)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ldecomposition_omega0_omega8(C.x*(C.y)^(-1)*C.dx)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l )[?7h[?12l[?25h[?25l[?7l+)[?7h[?12l[?25h[?25l[?7l )[?7h[?12l[?25h[?25l[?7l(()[?7h[?12l[?25h[?25l[?7lC)[?7h[?12l[?25h[?25l[?7l.)[?7h[?12l[?25h[?25l[?7lx)[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l^)[?7h[?12l[?25h[?25l[?7l(()[?7h[?12l[?25h[?25l[?7l-)[?7h[?12l[?25h[?25l[?7l2)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()*[?7h[?12l[?25h[?25l[?7lD[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: decomposition_omega0_omega8(C.x*(C.y)^(-1)*C.dx + (C.x)^(-2)*C.dx)

+[?7h[?12l[?25h[?2004l[?7h((x/y) dx, 0 dx)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ldecomposition_omega0_omega8(C.x*(C.y)^(-1)*C.dx + (C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l(C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l(C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l(C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l(C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l(C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l(C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l(C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l(C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l(C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l(C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l(C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l(C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l(C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l(C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l(C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l(C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l(C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l(C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l(C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l(C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l(C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l(C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: decomposition_omega0_omega8((C.x)^(-2)*C.dx)

+[?7h[?12l[?25h[?2004l[?7h(0 dx, 0 dx)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ldecomposition_omega0_omega8((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l().[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: ((C.x)^(-2)*C.dx).residue()

+[?7h[?12l[?25h[?2004l[?7h0
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx).residue()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)*C.dx).residue()[?7h[?12l[?25h[?25l[?7l1)*C.dx).residue()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: ((C.x)^(-1)*C.dx).residue()

+[?7h[?12l[?25h[?2004l[?7h1
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004laux.h2, decomposition_g0_g8(aux.h2, prec=prec) ((x^4 + x^2 + 1)/x^3)*y (x*y, 2/x^3*y, 1/x*y) ((x^4 + 1)/x^3)*y
+component, q, r 0 0 0
+component, q, r (2*x^6 + 2*x^4 + 1)/x 2*x^5 + 2*x^3 1
+aux.h2, decomposition_g0_g8(aux.h2, prec=prec) (x^6/(x^2 + 2))*y ((x^6/(x^2 + 2))*y, 0, 0) (x^6/(x^2 + 2))*y
+component, q, r 0 0 0
+component, q, r (2*x^10 + 2*x^8 + 2*x^6 + 2)/(x^2 + 2) 2*x^8 + x^6 2
+(1, 0)
+aux before reduce (V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx) + dV([((2*x^2 + 2*x + 2)/(x^2 + x))*y]), V((2/(x^2 + x))*y), V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx) + dV([2*y]))
+aux V(smth) (V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx), [0], V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx))
+aux.omega0.omega.cartier() ((-x + 1)/y) dx
+---------------------------------------------------------------------------
+KeyError                                  Traceback (most recent call last)
+Input In [64], in <cell line: 1>()
+----> 1 load('init.sage')
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:28, in <module>
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:17, in <module>
+
+File <string>:340, in coordinates(self, basis)
+
+File <string>:66, in coordinates(self)
+
+KeyError: (1, 1)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7l((C.x)^(-1)*C.dx).residue()[?7h[?12l[?25h[?25l[?7l2[?7h[?12l[?25h[?25l[?7ldecomposition_omega0_omega8((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7lsage: decomposition_omega0_omega8((C.x)^(-2)*C.dx)

+[?7h[?12l[?25h[?2004lcomponent, q, r 0 0 0
+component, q, r 0 0 0
+[?7h(0 dx, 0 dx)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lc = C.de_rham_basis()[?7h[?12l[?25h[?25l[?7lonvert_superfct_into_AS(a.f)[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ldecomposition_omega0_omega8((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l().residue()[?7h[?12l[?25h[?25l[?7lj[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lh[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: ((C.x)^(-2)*C.dx).jth_component()

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+TypeError                                 Traceback (most recent call last)
+Input In [66], in <cell line: 1>()
+----> 1 ((C.x)**(-Integer(2))*C.dx).jth_component()
+
+TypeError: superelliptic_form.jth_component() missing 1 required positional argument: 'j'
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx).jth_component()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l0)[?7h[?12l[?25h[?25l[?7lsage: ((C.x)^(-2)*C.dx).jth_component(0)

+[?7h[?12l[?25h[?2004l[?7h0
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx).jth_component(0)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l1)[?7h[?12l[?25h[?25l[?7lsage: ((C.x)^(-2)*C.dx).jth_component(1)

+[?7h[?12l[?25h[?2004l[?7h0
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx).jth_component(1)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l2)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: ((C.x)^(-2)*C.dx).jth_component(2)

+[?7h[?12l[?25h[?2004l[?7h(x^2 + 2)/x
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?7h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC.x.teichmuller().diffn()[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lh[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lmorphic_differentials_basis[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: C.holomorphic_differentials_basis()

+[?7h[?12l[?25h[?2004l[?7h[(1/y) dx]
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC.holomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7ldx.expanson(pt=(-1, 0))[?7h[?12l[?25h[?25l[?7le_rham_basis()[?7h[?12l[?25h[?25l[?7l_rham_basis()[?7h[?12l[?25h[?25l[?7lsage: C.de_rham_basis()

+[?7h[?12l[?25h[?2004l[?7h[((1/y) dx, 0, (1/y) dx), ((x/y) dx, 2/x*y, ((-1)/(x*y)) dx)]
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lC.de_rham_basis()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l C.de_rham_basis()[?7h[?12l[?25h[?25l[?7l=C.de_rham_basis()[?7h[?12l[?25h[?25l[?7l C.de_rham_basis()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7la = C.de_rham_basis()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([0][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[0][?7h[?12l[?25h[?25l[?7lsage: a = C.de_rham_basis()[0]

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7la = C.de_rham_basis()[0][?7h[?12l[?25h[?25l[?7l.f[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7ldinates[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: a.coordinates()

+[?7h[?12l[?25h[?2004l[?7h(1, 0)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7la.coordinates()[?7h[?12l[?25h[?25l[?7l = C.e_rham_basis()[0][?7h[?12l[?25h[?25l[?7lC.de_rham_bsis()[?7h[?12l[?25h[?25l[?7lholomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.x).jth_component(2)[?7h[?12l[?25h[?25l[?7lsage: ((C.x)^(-2)*C.dx).jth_component(2)

+[?7h[?12l[?25h[?2004l[?7h(x^2 + 2)/x
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx).jth_component(2)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l0)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: ((C.x)^(-2)*C.dx).jth_component(0)

+[?7h[?12l[?25h[?2004l[?7h(x^2 + 2)/x
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx).jth_component(0)[?7h[?12l[?25h[?25l[?7lsage: ((C.x)^(-2)*C.dx).jth_component(0)

+[?7h[?12l[?25h[?2004l[?7h1/x^2
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx).jth_component(0)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx).jth_component(0)[?7h[?12l[?25h[?25l[?7l)(C.x)^(-2)*C.dx).jth_component(0)[?7h[?12l[?25h[?25l[?7l()()[?7h[?12l[?25h[?25l[?7lC)(C.x)^(-2)*C.dx).jth_component(0)[?7h[?12l[?25h[?25l[?7l.)(C.x)^(-2)*C.dx).jth_component(0)[?7h[?12l[?25h[?25l[?7ly)(C.x)^(-2)*C.dx).jth_component(0)[?7h[?12l[?25h[?25l[?7l()()[?7h[?12l[?25h[?25l[?7l^(C.x)^(-2)*C.dx).jth_component(0)[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx).jth_component(0)[?7h[?12l[?25h[?25l[?7l)(C.x)^(-2)*C.dx).jth_component(0)[?7h[?12l[?25h[?25l[?7l()()[?7h[?12l[?25h[?25l[?7l-)(C.x)^(-2)*C.dx).jth_component(0)[?7h[?12l[?25h[?25l[?7l1)(C.x)^(-2)*C.dx).jth_component(0)[?7h[?12l[?25h[?25l[?7l()()[?7h[?12l[?25h[?25l[?7l*(C.x)^(-2)*C.dx).jth_component(0)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: ((C.y)^(-1)*(C.x)^(-2)*C.dx).jth_component(0)

+[?7h[?12l[?25h[?2004l[?7h0
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l((C.y)^(-1)*(C.x)^(-2)*C.dx).jth_component(0)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l1)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: ((C.y)^(-1)*(C.x)^(-2)*C.dx).jth_component(1)

+[?7h[?12l[?25h[?2004l[?7h1/x^2
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l((C.y)^(-1)*(C.x)^(-2)*C.dx).jth_component(1)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l2)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: ((C.y)^(-1)*(C.x)^(-2)*C.dx).jth_component(2)

+[?7h[?12l[?25h[?2004l[?7h0
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l((C.y)^(-1)*(C.x)^(-2)*C.dx).jth_component(2)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l0)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)*(C.x)^(-2)*C.dx).jth_component(0)[?7h[?12l[?25h[?25l[?7l2)*(C.x)^(-2)*C.dx).jth_component(0)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: ((C.y)^(-2)*(C.x)^(-2)*C.dx).jth_component(0)

+[?7h[?12l[?25h[?2004l[?7h1/(x^5 + 2*x^3)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l((C.y)^(-2)*(C.x)^(-2)*C.dx).jth_component(0)[?7h[?12l[?25h[?25l[?7l12[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7lx2C.d.jth_componen(0)[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.dx).jth_component(0)[?7h[?12l[?25h[?25l[?7l2[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7la.coordinates()[?7h[?12l[?25h[?25l[?7l = C.e_rham_basis()[0][?7h[?12l[?25h[?25l[?7lC.de_rham_bsis()[?7h[?12l[?25h[?25l[?7lholomorphic_differentials_basis()[?7h[?12l[?25h[?25l[?7l((C.x)^(-2)*C.x).jth_component(2)[?7h[?12l[?25h[?25l[?7l1[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7ldecomposition_omega0_omega8((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7ldecomposition_omega0_omega8((C.x)^(-2)*C.dx)[?7h[?12l[?25h[?25l[?7lsage: decomposition_omega0_omega8((C.x)^(-2)*C.dx)

+[?7h[?12l[?25h[?2004lcomponent, q, r 1/x^2 0 1
+component, q, r 0 0 0
+[?7h(0 dx, ((-1)/x^2) dx)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004laux.h2, decomposition_g0_g8(aux.h2, prec=prec) ((x^4 + x^2 + 1)/x^3)*y (x*y, 2/x^3*y, 1/x*y) ((x^4 + 1)/x^3)*y
+aux.h2, decomposition_g0_g8(aux.h2, prec=prec) (x^6/(x^2 + 2))*y ((x^6/(x^2 + 2))*y, 0, 0) (x^6/(x^2 + 2))*y
+(1, 0)
+aux before reduce (V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx) + dV([((2*x^2 + 2*x + 2)/(x^2 + x))*y]), V((2/(x^2 + x))*y), V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx) + dV([2*y]))
+aux V(smth) (V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx), [0], V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx))
+aux.omega0.omega.cartier() ((-x + 1)/y) dx
+---------------------------------------------------------------------------
+KeyError                                  Traceback (most recent call last)
+Input In [84], in <cell line: 1>()
+----> 1 load('init.sage')
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:28, in <module>
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:17, in <module>
+
+File <string>:340, in coordinates(self, basis)
+
+File <string>:66, in coordinates(self)
+
+KeyError: (1, 1)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lb[0][?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7lsage: b[0]

+[?7h[?12l[?25h[?2004l[?7h([(1/(x^3 + 2*x))*y] d[x] + V(((x^7 - x^3 - x)/(x^2*y - y)) dx) + dV([((2*x^3 + 2*x)/(x^2 + 2))*y]), V(1/x*y), [(1/(x^3 + 2*x))*y] d[x] + V(((x^7 - x^3 - x)/(x^2*y - y)) dx) + dV([((2*x^4 + x^2 + 1)/(x^3 + 2*x))*y]))
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lb[0][?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7la.coordinates()[?7h[?12l[?25h[?25l[?7lutm(b[0]) - 4*b[0]-6*b[1][?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lm(b[0]) - 4*b[0]-6*b[1][?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l6*b[1][?7h[?12l[?25h[?25l[?7l*[?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7lsage: autom(b[0]) - 4*b[0]-6*b[0]

+[?7h[?12l[?25h[?2004l[?7h(V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx) + dV([((2*x^2 + 2*x + 2)/(x^2 + x))*y]), V((2/(x^2 + x))*y), V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx) + dV([2*y]))
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l(0, 1)
+(0, 1)
+aux.h2, decomposition_g0_g8(aux.h2, prec=prec) ((x^4 + x^2 + 1)/x^3)*y (x*y, 2/x^3*y, 1/x*y) ((x^4 + 1)/x^3)*y
+(0, x)
+(0, 2/x)
+aux.h2, decomposition_g0_g8(aux.h2, prec=prec) (x^6/(x^2 + 2))*y ((x^6/(x^2 + 2))*y, 0, 0) (x^6/(x^2 + 2))*y
+(1, 0)
+aux before reduce (V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx) + dV([((2*x^2 + 2*x + 2)/(x^2 + x))*y]), V((2/(x^2 + x))*y), V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx) + dV([2*y]))
+aux V(smth) (V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx), [0], V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx))
+aux.omega0.omega.cartier() ((-x + 1)/y) dx
+---------------------------------------------------------------------------
+KeyError                                  Traceback (most recent call last)
+Input In [87], in <cell line: 1>()
+----> 1 load('init.sage')
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:28, in <module>
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:17, in <module>
+
+File <string>:340, in coordinates(self, basis)
+
+File <string>:66, in coordinates(self)
+
+KeyError: (1, 1)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lb[0][?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[].r()[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lg[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l.[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: b[0].omega0.frobenius()

+[?7h[?12l[?25h[?2004l[?7h((-x^3 - x)/y) dx
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lb[0].omega0.frobenius()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l.frobenius()[?7h[?12l[?25h[?25l[?7l8.frobenius()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: b[0].omega8.frobenius()

+[?7h[?12l[?25h[?2004l[?7h((-x^4 + 1)/(x*y)) dx
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lb[0].omega8.frobenius()[?7h[?12l[?25h[?25l[?7l().[?7h[?12l[?25h[?25l[?7lv[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: b[0].omega8.frobenius().valuation()

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+AttributeError                            Traceback (most recent call last)
+Input In [90], in <cell line: 1>()
+----> 1 b[Integer(0)].omega8.frobenius().valuation()
+
+AttributeError: 'superelliptic_form' object has no attribute 'valuation'
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lb[0].omega8.frobenius().valuation()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7ly[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: b[0].omega8.frobenius().expansion_at_infty()

+[?7h[?12l[?25h[?2004l[?7h2*t^-6 + t^-2 + t^2 + O(t^4)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l(0, 1)
+t^2 + t^10 + O(t^12)
+(0, x)
+t^-4 + t^4 + O(t^6)
+(1, 0)
+aux before reduce (V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx) + dV([((2*x^2 + 2*x + 2)/(x^2 + x))*y]), V((2/(x^2 + x))*y), V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx) + dV([2*y]))
+aux V(smth) (V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx), [0], V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx))
+aux.omega0.omega.cartier() ((-x + 1)/y) dx
+---------------------------------------------------------------------------
+KeyError                                  Traceback (most recent call last)
+Input In [92], in <cell line: 1>()
+----> 1 load('init.sage')
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:28, in <module>
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:17, in <module>
+
+File <string>:340, in coordinates(self, basis)
+
+File <string>:66, in coordinates(self)
+
+KeyError: (1, 1)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l(0, 1)
+t^2 + t^10 + O(t^12)
+(0, x)
+2*t^8 + 2*t^16 + O(t^18)
+(1, 0)
+aux before reduce (V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx) + dV([((2*x^2 + 2*x + 2)/(x^2 + x))*y]), V((2/(x^2 + x))*y), V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx) + dV([2*y]))
+aux V(smth) (V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx), [0], V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx))
+aux.omega0.omega.cartier() ((-x + 1)/y) dx
+---------------------------------------------------------------------------
+KeyError                                  Traceback (most recent call last)
+Input In [93], in <cell line: 1>()
+----> 1 load('init.sage')
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:28, in <module>
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:17, in <module>
+
+File <string>:340, in coordinates(self, basis)
+
+File <string>:66, in coordinates(self)
+
+KeyError: (1, 1)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lb[0].omega8.frobenius().expansion_at_infty()[?7h[?12l[?25h[?25l[?7lsage: b[0].omega8.frobenius().expansion_at_infty()

+[?7h[?12l[?25h[?2004l[?7h2*t^-6 + t^-2 + t^2 + O(t^4)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l(0, 1)
+t^2 + t^10 + O(t^12)
+aux (is h1 = 0?) V(((-x^6 - x^4 + 1)/(x*y)) dx) + dV([((x^4 + x^2 + 1)/x^3)*y])
+(0, x)
+2*t^8 + 2*t^16 + O(t^18)
+aux (is h1 = 0?) V(((-x^16 - x^14 - x^12 + x^10 - x^8 - x^6 + x^4 - x^2 - 1)/(x^8*y - x^6*y)) dx) + dV([((x^10 + x^8 + x^6 + 2*x^4 + 2*x^2 + 2)/x^6)*y])
+(1, 0)
+aux before reduce (V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx) + dV([((2*x^2 + 2*x + 2)/(x^2 + x))*y]), V((2/(x^2 + x))*y), V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx) + dV([2*y]))
+aux V(smth) (V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx), [0], V(((-x^6 - x^4 + x^2 - x + 1)/(x^2*y + x*y)) dx))
+aux.omega0.omega.cartier() ((-x + 1)/y) dx
+---------------------------------------------------------------------------
+KeyError                                  Traceback (most recent call last)
+Input In [95], in <cell line: 1>()
+----> 1 load('init.sage')
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:28, in <module>
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:17, in <module>
+
+File <string>:340, in coordinates(self, basis)
+
+File <string>:66, in coordinates(self)
+
+KeyError: (1, 1)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l(0, 1)
+t^2 + t^10 + O(t^12)
+---------------------------------------------------------------------------
+AttributeError                            Traceback (most recent call last)
+Input In [96], in <cell line: 1>()
+----> 1 load('init.sage')
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:28, in <module>
+
+File /ext/sage/9.7/src/sage/misc/persist.pyx:175, in sage.misc.persist.load()
+    173 
+    174     if sage.repl.load.is_loadable_filename(filename):
+--> 175         sage.repl.load.load(filename, globals())
+    176         return
+    177 
+
+File /ext/sage/9.7/src/sage/repl/load.py:272, in load(filename, globals, attach)
+    270             add_attached_file(fpath)
+    271         with open(fpath) as f:
+--> 272             exec(preparse_file(f.read()) + "\n", globals)
+    273 elif ext == '.spyx' or ext == '.pyx':
+    274     if attach:
+
+File <string>:16, in <module>
+
+File <string>:375, in crystalline_cohomology_basis(self, prec)
+
+File <string>:363, in de_rham_witt_lift(cech_class, prec)
+
+File <string>:18, in __eq__(self, other)
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:494, in sage.structure.element.Element.__getattr__()
+    492         AttributeError: 'LeftZeroSemigroup_with_category.element_class' object has no attribute 'blah_blah'
+    493     """
+--> 494     return self.getattr_from_category(name)
+    495 
+    496 cdef getattr_from_category(self, name):
+
+File /ext/sage/9.7/src/sage/structure/element.pyx:507, in sage.structure.element.Element.getattr_from_category()
+    505     else:
+    506         cls = P._abstract_element_class
+--> 507     return getattr_from_other_class(self, cls, name)
+    508 
+    509 def __dir__(self):
+
+File /ext/sage/9.7/src/sage/cpython/getattr.pyx:361, in sage.cpython.getattr.getattr_from_other_class()
+    359     dummy_error_message.cls = type(self)
+    360     dummy_error_message.name = name
+--> 361     raise AttributeError(dummy_error_message)
+    362 attribute = <object>attr
+    363 # Check for a descriptor (__get__ in Python)
+
+AttributeError: 'sage.rings.integer.Integer' object has no attribute 'function'
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lad('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l(0, 1)
+t^2 + t^10 + O(t^12)
+(0, x)
+2*t^8 + 2*t^16 + O(t^18)
+(1, 0)
+aux before reduce (V((1/(x^2*y + x*y)) dx) + dV([(2/(x^2 + x))*y]), V((2/(x^2 + x))*y), V((1/(x^2*y + x*y)) dx))
+aux V(smth) (V((1/(x^2*y + x*y)) dx), [0], V((1/(x^2*y + x*y)) dx))
+aux.omega0.omega.cartier() 0 dx
+[1, 0]
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lb[0].omega8.frobenius().expansion_at_infty()[?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l0].omega8.frobenius().expansion_at_infty()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lautom(b[0]) - 4*b[0]-6*b[0][?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7l(b[0]) - 4*b[0]-6*b[0][?7h[?12l[?25h[?25l[?7lsage: autom(b[0]) - 4*b[0]-6*b[0]

+[?7h[?12l[?25h[?2004l[?7h(V((1/(x^2*y + x*y)) dx) + dV([(2/(x^2 + x))*y]), V((2/(x^2 + x))*y), V((1/(x^2*y + x*y)) dx))
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lautom(b[0]) - 4*b[0]-6*b[0][?7h[?12l[?25h[?25l[?7l[])[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(autom(b[0]) - 4*b[0]-6*b[0])[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l([])[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l().[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7ld[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: (autom(b[0]) - 4*b[0]-6*b[0]).reduce()

+[?7h[?12l[?25h[?2004l[?7h(V((1/(x^2*y + x*y)) dx) + dV([(2/(x^2 + x))*y]), [0], V((1/(x^2*y + x*y)) dx) + dV([(2/(x^2 + x))*y]))
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lautom(b[0]) - 4*b[0]-6*b[0][?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lm[?7h[?12l[?25h[?25l[?7l(b[0]) - 4*b[0]-6*b[0][?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l().reduce(), (4*b[0] + 6*b[1]).reduce()[?7h[?12l[?25h[?25l[?7lcoordinates(basis=b)[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lrdinates(basis = b)[?7h[?12l[?25h[?25l[?7lsage: autom(b[0]).coordinates(basis = b)

+[?7h[?12l[?25h[?2004l(1, 0)
+aux before reduce (V((1/(x^2*y + x*y)) dx) + dV([(2/(x^2 + x))*y]), V((2/(x^2 + x))*y), V((1/(x^2*y + x*y)) dx))
+aux V(smth) (V((1/(x^2*y + x*y)) dx), [0], V((1/(x^2*y + x*y)) dx))
+aux.omega0.omega.cartier() 0 dx
+[?7h[1, 0]
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(C.one/(C.x^2*C.y + C.x*C.y)) C.dx[?7h[?12l[?25h[?25l[?7lsage: (C.one/(C.x^2*C.y + C.x*C.y)) C.dx

+[?7h[?12l[?25h[?2004l  Input In [101]
+    (C.one/(C.x**Integer(2)*C.y + C.x*C.y)) C.dx
+                                            ^
+SyntaxError: invalid syntax
+
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(C.one/(C.x^2*C.y + C.x*C.y)) C.dx[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()( C.dx[?7h[?12l[?25h[?25l[?7l() C.dx[?7h[?12l[?25h[?25l[?7l()* C.dx[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: (C.one/(C.x^2*C.y + C.x*C.y))* C.dx

+[?7h[?12l[?25h[?2004l[?7h(1/(x^2*y + x*y)) dx
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(C.one/(C.x^2*C.y + C.x*C.y))* C.dx[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l((C.one/(C.x^2*C.y + C.x*C.y))* C.dx[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l().[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: ((C.one/(C.x^2*C.y + C.x*C.y))* C.dx).cartier()

+[?7h[?12l[?25h[?2004l[?7h0 dx
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l((C.one/(C.x^2*C.y + C.x*C.y))* C.dx).cartier()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lv[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7lc[?7h[?12l[?25h[?25l[?7lh[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lg[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(C.one/(C.x^2*C.y + C.x*C.y))* C.dx[?7h[?12l[?25h[?25l[?7l C.dx[?7h[?12l[?25h[?25l[?7lautm(b[0]).coordinates(basis= b)[?7h[?12l[?25h[?25l[?7l(C.ne/(C.x^2*C.y + C.x*C.y))C.dx[?7h[?12l[?25h[?25l[?7l* C.dx[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: 

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: 

+[?7h[?12l[?25h[?2004l[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l((C.one/(C.x^2*C.y + C.x*C.y))* C.dx).cartier()[?7h[?12l[?25h[?25l[?7lC.one/(C.x^2*C.y + C.x*C.y)* C.dx[?7h[?12l[?25h[?25l[?7l(C.one/(C.x^2*C.y + C.x*C.y)* C.dx).cartier()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lf[?7h[?12l[?25h[?25l[?7lt[?7h[?12l[?25h[?25l[?7ly[?7h[?12l[?25h[?25l[?7l*[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: ((C.one/(C.x^2*C.y + C.x*C.y))* C.dx).expansion_at_infty()

+[?7h[?12l[?25h[?2004l[?7ht^4 + 2*t^6 + t^8 + O(t^14)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l(0, 1)
+omega8_lift.frobenius().expansion_at_infty() t^2 + t^10 + O(t^12)
+(0, x)
+omega8_lift.frobenius().expansion_at_infty() 2*t^8 + 2*t^16 + O(t^18)
+(1, 0)
+aux before reduce (V((1/(x^2*y + x*y)) dx) + dV([(2/(x^2 + x))*y]), V((2/(x^2 + x))*y), V((1/(x^2*y + x*y)) dx))
+aux V(smth) (V((1/(x^2*y + x*y)) dx), [0], V((1/(x^2*y + x*y)) dx))
+aux.omega0.omega.cartier() 0 dx
+[1, 0]
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lb[0].omega8.frobenius().expansion_at_infty()[?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7lsage: b[0]

+[?7h[?12l[?25h[?2004l[?7h([(1/(x^3 + 2*x))*y] d[x] + V(((-x)/(x^2*y - y)) dx) + dV([(x/(x^2 + 2))*y]), V(1/x*y), [(1/(x^3 + 2*x))*y] d[x] + V(((-x)/(x^2*y - y)) dx) + dV([(1/(x^3 + 2*x))*y]))
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lb[0][?7h[?12l[?25h[?25l[?7l[].omega8.frobenius().expansion_at_infty()[?7h[?12l[?25h[?25l[?7lr()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lor()[?7h[?12l[?25h[?25l[?7lomr()[?7h[?12l[?25h[?25l[?7ler()[?7h[?12l[?25h[?25l[?7lgr()[?7h[?12l[?25h[?25l[?7lar()[?7h[?12l[?25h[?25l[?7l0r()[?7h[?12l[?25h[?25l[?7l.r()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: b[0].omega0.r()

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+AttributeError                            Traceback (most recent call last)
+Input In [107], in <cell line: 1>()
+----> 1 b[Integer(0)].omega0.r()
+
+AttributeError: 'superelliptic_drw_form' object has no attribute 'r'
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lb[0].omega0.r()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lR()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: b[0].omega0.R()

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+AttributeError                            Traceback (most recent call last)
+Input In [108], in <cell line: 1>()
+----> 1 b[Integer(0)].omega0.R()
+
+AttributeError: 'superelliptic_drw_form' object has no attribute 'R'
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lb[0].omega0.R()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lr()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ld('init.sage')[?7h[?12l[?25h[?25l[?7lsage: load('init.sage')

+[?7h[?12l[?25h[?2004l(0, 1)
+omega8_lift.frobenius().expansion_at_infty() t^2 + t^10 + O(t^12)
+(0, x)
+omega8_lift.frobenius().expansion_at_infty() 2*t^8 + 2*t^16 + O(t^18)
+(1, 0)
+aux before reduce (V((1/(x^2*y + x*y)) dx) + dV([(2/(x^2 + x))*y]), V((2/(x^2 + x))*y), V((1/(x^2*y + x*y)) dx))
+aux V(smth) (V((1/(x^2*y + x*y)) dx), [0], V((1/(x^2*y + x*y)) dx))
+aux.omega0.omega.cartier() 0 dx
+[1, 0]
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lload('init.sage')[?7h[?12l[?25h[?25l[?7lb[0].omega0.R()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lr()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: b[0].omega0.r()

+[?7h[?12l[?25h[?2004l[?7h(1/y) dx
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lb[0].omega0.r()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lfrobenius()[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lus()[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: b[0].omega0.frobenius()

+[?7h[?12l[?25h[?2004l[?7h((-x)/y) dx
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lb[0].omega0.frobenius()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lb[0].omega0.r()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l.r()[?7h[?12l[?25h[?25l[?7l8.r()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: b[0].omega8.r()

+[?7h[?12l[?25h[?2004l[?7h(1/y) dx
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lb[0].omega8.r()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lfrobenius().expansion_at_infty()[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7ls[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: b[0].omega8.frobenius()

+[?7h[?12l[?25h[?2004l[?7h(1/(x*y)) dx
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lb[0].omega8.frobenius()[?7h[?12l[?25h[?25l[?7l().expansion_at_infty()[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lx[?7h[?12l[?25h[?25l[?7lp[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7lsion_at_infty()[?7h[?12l[?25h[?25l[?7lsage: b[0].omega8.frobenius().expansion_at_infty()

+[?7h[?12l[?25h[?2004l[?7ht^2 + t^6 + O(t^12)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lb[0].omega8.frobenius().expansion_at_infty()[?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7lsage: b[0]

+[?7h[?12l[?25h[?2004l[?7h([(1/(x^3 + 2*x))*y] d[x] + V(((-x)/(x^2*y - y)) dx) + dV([(x/(x^2 + 2))*y]), V(1/x*y), [(1/(x^3 + 2*x))*y] d[x] + V(((-x)/(x^2*y - y)) dx) + dV([(1/(x^3 + 2*x))*y]))
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l352%9[?7h[?12l[?25h[?25l[?7l*a[?7h[?12l[?25h[?25l[?7lb[?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7lsage: 3*b[0]

+[?7h[?12l[?25h[?2004l[?7h(V((x/(x^2*y - y)) dx), [0], V((x/(x^2*y - y)) dx))
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lb[0][?7h[?12l[?25h[?25l[?7l[[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[].omega8.frobenius().expansion_at_infty()[?7h[?12l[?25h[?25l[?7lcoordinates()[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7ldinates()[?7h[?12l[?25h[?25l[?7lsage: b[0].coordinates()

+[?7h[?12l[?25h[?2004l(1, 0)
+(0, 1)
+omega8_lift.frobenius().expansion_at_infty() t^2 + t^10 + O(t^12)
+(0, x)
+omega8_lift.frobenius().expansion_at_infty() 2*t^8 + 2*t^16 + O(t^18)
+aux before reduce (0, [0], 0)
+aux V(smth) (0, [0], 0)
+aux.omega0.omega.cartier() 0 dx
+[?7h[1, 0]
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lb[0].coordinates()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lab[0].cordinates()[?7h[?12l[?25h[?25l[?7lub[0].cordinates()[?7h[?12l[?25h[?25l[?7ltb[0].cordinates()[?7h[?12l[?25h[?25l[?7lob[0].cordinates()[?7h[?12l[?25h[?25l[?7lmb[0].cordinates()[?7h[?12l[?25h[?25l[?7l(b[0].cordinates()[?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l[][?7h[?12l[?25h[?25l[?7l][?7h[?12l[?25h[?25l[?7l([]).cordinates()[?7h[?12l[?25h[?25l[?7l()()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: autom(b[0]).coordinates()

+[?7h[?12l[?25h[?2004l(1, 0)
+(0, 1)
+omega8_lift.frobenius().expansion_at_infty() t^2 + t^10 + O(t^12)
+(0, x)
+omega8_lift.frobenius().expansion_at_infty() 2*t^8 + 2*t^16 + O(t^18)
+aux before reduce (V((1/(x^2*y + x*y)) dx) + dV([(2/(x^2 + x))*y]), V((2/(x^2 + x))*y), V((1/(x^2*y + x*y)) dx))
+aux V(smth) (V((1/(x^2*y + x*y)) dx), [0], V((1/(x^2*y + x*y)) dx))
+aux.omega0.omega.cartier() 0 dx
+[?7h[1, 0]
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(C.one/(C.x^2*C.y + C.x*C.y)) C.dx[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()* C.dx[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l((C.one/(C.x^2*C.y + C.x*C.y))* C.dx[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l).expansion_at_infty()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l).expansion_at_infty()[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7li[?7h[?12l[?25h[?25l[?7lis[?7h[?12l[?25h[?25l[?7lis_[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7le[?7h[?12l[?25h[?25l[?7lg[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ll[?7h[?12l[?25h[?25l[?7la[?7h[?12l[?25h[?25l[?7lr[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7lo[?7h[?12l[?25h[?25l[?7ln[?7h[?12l[?25h[?25l[?7l_[?7h[?12l[?25h[?25l[?7lu[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lU[?7h[?12l[?25h[?25l[?7l0[?7h[?12l[?25h[?25l[?7l([?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: ((C.one/(C.x^2*C.y + C.x*C.y))* C.dx).is_regular_on_U0()

+[?7h[?12l[?25h[?2004l[?7h0
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(2/(x^2 + x))*y[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l*/(x^2 + x)*y[?7h[?12l[?25h[?25l[?7lC/(x^2 + x)*y[?7h[?12l[?25h[?25l[?7l./(x^2 + x)*y[?7h[?12l[?25h[?25l[?7lo/(x^2 + x)*y[?7h[?12l[?25h[?25l[?7ln/(x^2 + x)*y[?7h[?12l[?25h[?25l[?7le/(x^2 + x)*y[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lCx^2 + x)*y[?7h[?12l[?25h[?25l[?7l.x^2 + x)*y[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lCx)*y[?7h[?12l[?25h[?25l[?7l.x)*y[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lCy[?7h[?12l[?25h[?25l[?7l.y[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lsage: (2*C.one/(C.x^2 + C.x))*C.y

+[?7h[?12l[?25h[?2004l[?7h(2/(x^2 + x))*y
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l(2*C.one/(C.x^2 + C.x))*C.y[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ld(2*C.one/(C.x^2 + C.x))*C.y[?7h[?12l[?25h[?25l[?7le(2*C.one/(C.x^2 + C.x))*C.y[?7h[?12l[?25h[?25l[?7lc(2*C.one/(C.x^2 + C.x))*C.y[?7h[?12l[?25h[?25l[?7lo(2*C.one/(C.x^2 + C.x))*C.y[?7h[?12l[?25h[?25l[?7lm(2*C.one/(C.x^2 + C.x))*C.y[?7h[?12l[?25h[?25l[?7lp(2*C.one/(C.x^2 + C.x))*C.y[?7h[?12l[?25h[?25l[?7lo(2*C.one/(C.x^2 + C.x))*C.y[?7h[?12l[?25h[?25l[?7ls(2*C.one/(C.x^2 + C.x))*C.y[?7h[?12l[?25h[?25l[?7li(2*C.one/(C.x^2 + C.x))*C.y[?7h[?12l[?25h[?25l[?7lt(2*C.one/(C.x^2 + C.x))*C.y[?7h[?12l[?25h[?25l[?7li(2*C.one/(C.x^2 + C.x))*C.y[?7h[?12l[?25h[?25l[?7lo(2*C.one/(C.x^2 + C.x))*C.y[?7h[?12l[?25h[?25l[?7ln(2*C.one/(C.x^2 + C.x))*C.y[?7h[?12l[?25h[?25l[?7l_(2*C.one/(C.x^2 + C.x))*C.y[?7h[?12l[?25h[?25l[?7li(2*C.one/(C.x^2 + C.x))*C.y[?7h[?12l[?25h[?25l[?7ln(2*C.one/(C.x^2 + C.x))*C.y[?7h[?12l[?25h[?25l[?7lt(2*C.one/(C.x^2 + C.x))*C.y[?7h[?12l[?25h[?25l[?7lo(2*C.one/(C.x^2 + C.x))*C.y[?7h[?12l[?25h[?25l[?7l_(2*C.one/(C.x^2 + C.x))*C.y[?7h[?12l[?25h[?25l[?7lg(2*C.one/(C.x^2 + C.x))*C.y[?7h[?12l[?25h[?25l[?7lo(2*C.one/(C.x^2 + C.x))*C.y[?7h[?12l[?25h[?25l[?7l_(2*C.one/(C.x^2 + C.x))*C.y[?7h[?12l[?25h[?25l[?7lg(2*C.one/(C.x^2 + C.x))*C.y[?7h[?12l[?25h[?25l[?7l8(2*C.one/(C.x^2 + C.x))*C.y[?7h[?12l[?25h[?25l[?7l((2*C.one/(C.x^2 + C.x))*C.y[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7lsage: decomposition_into_go_g8((2*C.one/(C.x^2 + C.x))*C.y)

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+NameError                                 Traceback (most recent call last)
+Input In [121], in <cell line: 1>()
+----> 1 decomposition_into_go_g8((Integer(2)*C.one/(C.x**Integer(2) + C.x))*C.y)
+
+NameError: name 'decomposition_into_go_g8' is not defined
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ldecomposition_into_go_g8((2*C.one/(C.x^2 + C.x))*C.y)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l_g8(2*C.one/(C.x^2 + C.x)*C.y)[?7h[?12l[?25h[?25l[?7l0_g8(2*C.one/(C.x^2 + C.x)*C.y)[?7h[?12l[?25h[?25l[?7lsage: decomposition_into_g0_g8((2*C.one/(C.x^2 + C.x))*C.y)

+[?7h[?12l[?25h[?2004l---------------------------------------------------------------------------
+NameError                                 Traceback (most recent call last)
+Input In [122], in <cell line: 1>()
+----> 1 decomposition_into_g0_g8((Integer(2)*C.one/(C.x**Integer(2) + C.x))*C.y)
+
+NameError: name 'decomposition_into_g0_g8' is not defined
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7ldecomposition_into_g0_g8((2*C.one/(C.x^2 + C.x))*C.y)[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l)[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l(())[?7h[?12l[?25h[?25l[?7l()[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lg0_g8(2*C.one/(C.x^2 + C.x)*C.y)[?7h[?12l[?25h[?25l[?7lg0_g8(2*C.one/(C.x^2 + C.x)*C.y)[?7h[?12l[?25h[?25l[?7lg0_g8(2*C.one/(C.x^2 + C.x)*C.y)[?7h[?12l[?25h[?25l[?7lg0_g8(2*C.one/(C.x^2 + C.x)*C.y)[?7h[?12l[?25h[?25l[?7lg0_g8(2*C.one/(C.x^2 + C.x)*C.y)[?7h[?12l[?25h[?25l[?7lsage: decomposition_g0_g8((2*C.one/(C.x^2 + C.x))*C.y)

+[?7h[?12l[?25h[?2004l[?7h(0, (1/(x^2 + x))*y, 0)
+[?2004h[?25l[?7lsage: [?7h[?12l[?25h[?25l[?7l[?7h[?12l[?25h[?25l[?7lquo_rem(x^10 + x^8 + x^6 - x^4, x^2 - 1)[?7h[?12l[?25h
\ No newline at end of file
diff --git a/sage/as_covers/as_cover_class.sage b/sage/as_covers/as_cover_class.sage
index acadbbc..2f4d620 100644
--- a/sage/as_covers/as_cover_class.sage
+++ b/sage/as_covers/as_cover_class.sage
@@ -1,5 +1,5 @@
 class as_cover:
-    def __init__(self, C, list_of_fcts, prec = 10):
+    def __init__(self, C, list_of_fcts, branch_points = [], prec = 10):
         self.quotient = C
         self.functions = list_of_fcts
         self.height = len(list_of_fcts)
@@ -22,24 +22,25 @@ class as_cover:
         r = f.degree()
         delta = GCD(m, r)
         self.nb_of_pts_at_infty = delta
+        self.branch_points = list(range(delta)) + branch_points
         Rxy.<x, y> = PolynomialRing(F, 2)
         Rt.<t> = LaurentSeriesRing(F, default_prec=prec)
 
-        all_x_series = []
-        all_y_series = []
-        all_z_series = []
-        all_dx_series = []
-        all_jumps = []
+        all_x_series = {}
+        all_y_series = {}
+        all_z_series = {}
+        all_dx_series = {}
+        all_jumps = {}
 
-        for i in range(delta):
-            x_series = superelliptic_function(C, x).expansion_at_infty(place = i, prec=prec)
-            y_series = superelliptic_function(C, y).expansion_at_infty(place = i, prec=prec)
+        for pt in self.branch_points:
+            x_series = superelliptic_function(C, x).expansion(pt=pt, prec=prec)
+            y_series = superelliptic_function(C, y).expansion(pt=pt, prec=prec)
             z_series = []
             jumps = []
             n = len(list_of_fcts)
-            list_of_power_series = [g.expansion_at_infty(place = i, prec=prec) for g in list_of_fcts]
-            for i in range(n):
-                power_series = list_of_power_series[i]
+            list_of_power_series = [g.expansion(pt=pt, prec=prec) for g in list_of_fcts]
+            for j in range(n):
+                power_series = list_of_power_series[j]
                 jump, correction, t_old, z = artin_schreier_transform(power_series, prec = prec)
                 x_series = x_series(t = t_old)
                 y_series = y_series(t = t_old)
@@ -48,11 +49,11 @@ class as_cover:
                 jumps += [jump]
                 list_of_power_series = [g(t = t_old) for g in list_of_power_series]
             
-            all_jumps += [jumps]
-            all_x_series += [x_series]
-            all_y_series += [y_series]
-            all_z_series += [z_series]
-            all_dx_series += [x_series.derivative()]
+            all_jumps[pt] = jumps
+            all_x_series[pt] = x_series
+            all_y_series[pt] = y_series
+            all_z_series[pt] = z_series
+            all_dx_series[pt] = x_series.derivative()
         self.jumps = all_jumps
         self.x_series = all_x_series
         self.y_series = all_y_series
@@ -70,8 +71,9 @@ class as_cover:
         self.fct_field = (RxyzQ, Rxyz, x, y, z)
         self.x = as_function(self, x)
         self.y = as_function(self, y)
-        self.z = [as_function(self, z[i]) for i in range(n)]
+        self.z = [as_function(self, z[j]) for j in range(n)]
         self.dx = as_form(self, 1)
+        self.one = as_function(self, 1)
         
         
     def __repr__(self):
@@ -89,9 +91,9 @@ class as_cover:
         jumps = self.jumps
         gY = self.quotient.genus()
         n = self.height
-        delta = self.nb_of_pts_at_infty
+        branch_pts = self.branch_points
         p = self.characteristic
-        return p^n*gY + (p^n - 1)*(delta - 1) + sum(p^(n-j-1)*(jumps[i][j]-1)*(p-1)/2 for j in range(n) for i in range(delta))
+        return p^n*gY + (p^n - 1)*(len(branch_pts) - 1) + sum(p^(n-j-1)*(jumps[pt][j]-1)*(p-1)/2 for j in range(n) for pt in branch_pts)
     
     def exponent_of_different(self, place = 0):
         jumps = self.jumps
@@ -130,17 +132,17 @@ class as_cover:
             for j in range(0, m):
                 for k in product(*pr):
                     eta = as_form(self, x^i * prod(z[i1]^(k[i1]) for i1 in range(n))/y^j)
-                    eta_exp = eta.expansion_at_infty()
+                    eta_exp = eta.expansion(pt=self.branch_points[0])
                     S += [(eta, eta_exp)]
 
         forms = holomorphic_combinations(S)
         
-        for i in range(1, delta):
-            forms = [(omega, omega.expansion_at_infty(place = i)) for omega in forms]
+        for pt in self.branch_points[1:]:
+            forms = [(omega, omega.expansion(pt=pt)) for omega in forms]
             forms = holomorphic_combinations(forms)
         
         if len(forms) < self.genus():
-            print("I haven't found all forms.")
+            print("I haven't found all forms, only ", len(forms), " of ", self.genus())
             return holomorphic_differentials_basis(self, threshold = threshold + 1)
         if len(forms) > self.genus():
             print("Increase precision.")
@@ -236,8 +238,8 @@ class as_cover:
 
         forms = holomorphic_combinations_forms(S, pole_order)
 
-        for i in range(1, delta):
-            forms = [(omega, omega.expansion_at_infty(place = i)) for omega in forms]
+        for pt in self.branch_points[1:]:
+            forms = [(omega, omega.expansion(pt=pt)) for omega in forms]
             forms = holomorphic_combinations_forms(forms, pole_order)
                   
         return forms
diff --git a/sage/as_covers/as_form_class.sage b/sage/as_covers/as_form_class.sage
index 14207c5..b72a632 100644
--- a/sage/as_covers/as_form_class.sage
+++ b/sage/as_covers/as_form_class.sage
@@ -37,6 +37,28 @@ class as_form:
         sub_list = {x : x_series, y : y_series} | {z[j] : z_series[j] for j in range(n)}
         return g.substitute(sub_list)*dx_series
     
+    def expansion(self, pt = 0):
+        '''Same code as expansion_at_infty.'''
+        C = self.curve
+        F = C.base_ring
+        x_series = C.x_series[pt]
+        y_series = C.y_series[pt]
+        z_series = C.z_series[pt]
+        dx_series = C.dx_series[pt]
+        n = C.height
+        variable_names = 'x, y'
+        for j in range(n):
+            variable_names += ', z' + str(j)
+        Rxyz = PolynomialRing(F, n+2, variable_names)
+        x, y = Rxyz.gens()[:2]
+        z = Rxyz.gens()[2:]
+        RxyzQ = FractionField(Rxyz)
+        prec = C.prec
+        Rt.<t> = LaurentSeriesRing(F, default_prec=prec)
+        g = self.form
+        sub_list = {x : x_series, y : y_series} | {z[j] : z_series[j] for j in range(n)}
+        return g.substitute(sub_list)*dx_series
+    
     def __add__(self, other):
         C = self.curve
         g1 = self.form
@@ -152,6 +174,13 @@ def artin_schreier_transform(power_series, prec = 10):
     power_series = RtQ(power_series)
     if power_series.valuation() == +Infinity:
         raise ValueError("Precision is too low.")
+    if power_series.valuation() >= 0:
+        # THIS IS WRONG - THERE ARE SEVERAL PLACES OVER THIS PLACE, AND IT DEPENDS
+        aux = t^p - t
+        z = new_reverse(aux, prec = prec)
+        z = z(t = power_series)
+        return(0, 0, t, z)
+    
     while(power_series.valuation() % p == 0 and power_series.valuation() < 0):
         M = -power_series.valuation()/p
         coeff = power_series.list()[0]   #wspolczynnik a_(-p) w f_AS
diff --git a/sage/as_covers/as_function_class.sage b/sage/as_covers/as_function_class.sage
index 696115c..1d2e9f8 100644
--- a/sage/as_covers/as_function_class.sage
+++ b/sage/as_covers/as_function_class.sage
@@ -77,6 +77,28 @@ class as_function:
         g = RxyzQ(g)
         sub_list = {x : x_series, y : y_series} | {z[j] : z_series[j] for j in range(n)}
         return g.substitute(sub_list)
+    
+    def expansion(self, pt = 0):
+        C = self.curve
+        delta = C.nb_of_pts_at_infty
+        F = C.base_ring
+        x_series = C.x_series[pt]
+        y_series = C.y_series[pt]
+        z_series = C.z_series[pt]
+        n = C.height
+        variable_names = 'x, y'
+        for j in range(n):
+            variable_names += ', z' + str(j)
+        Rxyz = PolynomialRing(F, n+2, variable_names)
+        x, y = Rxyz.gens()[:2]
+        z = Rxyz.gens()[2:]
+        RxyzQ = FractionField(Rxyz)
+        prec = C.prec
+        Rt.<t> = LaurentSeriesRing(F, default_prec=prec)
+        g = self.function
+        g = RxyzQ(g)
+        sub_list = {x : x_series, y : y_series} | {z[j] : z_series[j] for j in range(n)}
+        return g.substitute(sub_list)
 
     def group_action(self, ZN_tuple):
         C = self.curve
diff --git a/sage/drafty/draft.sage b/sage/drafty/draft.sage
index 9ca00d8..1f697d1 100644
--- a/sage/drafty/draft.sage
+++ b/sage/drafty/draft.sage
@@ -2,13 +2,15 @@ p = 3
 m = 2
 F = GF(p)
 Rx.<x> = PolynomialRing(F)
-f = x^3 - x + 1
+f = x^3 - x
 C = superelliptic(f, m)
-C1 = patch(C)
+#C1 = patch(C)
 #print(C1.crystalline_cohomology_basis())
-g1 = C1.polynomial
-g_AS = g1(x^p - x)
-C2 = superelliptic(g_AS, 2)
-print(convert_super_into_AS(C2))
-converted = (C2.x)^4 - (C2.x)^2
-print(convert_super_fct_into_AS(converted))
\ No newline at end of file
+#g1 = C1.polynomial
+#g_AS = g1(x^p - x)
+#C2 = superelliptic(g_AS, 2)
+#print(convert_super_into_AS(C2))
+#converted = (C2.x)^4 - (C2.x)^2
+#print(convert_super_fct_into_AS(converted))
+b = C.crystalline_cohomology_basis()
+print(autom(b[0]).coordinates(basis = b))
\ No newline at end of file
diff --git a/sage/drafty/superelliptic_drw.sage b/sage/drafty/superelliptic_drw.sage
index a765a83..8b77613 100644
--- a/sage/drafty/superelliptic_drw.sage
+++ b/sage/drafty/superelliptic_drw.sage
@@ -47,10 +47,11 @@ class superelliptic_witt:
             return other_integer*self
     
     def __mul__(self, other):
+        C = self.curve
+        p = C.characteristic
         if isinstance(other, superelliptic_witt):
             t1 = self.t
             f1 = self.f
-            p = self.curve.characteristic
             t2 = other.t
             f2 = other.f
             return superelliptic_witt(t1*t2, t1^p*f2 + t2^p*f1)
@@ -58,7 +59,6 @@ class superelliptic_witt:
             h1 = other.h1
             h2 = other.h2
             omega = other.omega
-            p = other.curve.characteristic
             t = self.t
             f = self.f
             aux_form = t^p*omega - h2*t^(p-1)*t.diffn() + f*h1^p*(C.x)^(p-1)*C.dx
@@ -130,7 +130,7 @@ superelliptic_function.teichmuller = teichmuller
 #d[M] = a*[b x^(a-1)]
 
 def auxilliary_derivative(P):
-    '''Return "derivative" of P, where P depends only on x. '''
+    '''Return "derivative" of P, where P depends only on x. In other words d[P(x)].'''
     P0 = P.t.function
     P1 = P.f.function
     C = P.curve
@@ -156,6 +156,11 @@ class superelliptic_drw_form:
         self.omega = omega
         self.h2 = h2
         
+    def r(self):
+        C = self.curve
+        h1 = self.h1
+        return superelliptic_form(C, h1.function)
+        
     def __eq__(self, other):
         eq1 = (self.h1 == self.h1)
         try:
@@ -317,16 +322,29 @@ class superelliptic_drw_cech:
         return superelliptic_cech(C, omega0.h1*C.dx, f.t)
     
     def coordinates(self, basis = 0):
+        C = self.curve
+        g = C.genus()
         coord_mod_p = self.r().coordinates()
         print(coord_mod_p)
         coord_lifted = [lift(a) for a in coord_mod_p]
         if basis == 0:
-            basis = self.curve().crystalline_cohomology_basis()
+            basis = C.crystalline_cohomology_basis()
         aux = self
         for i, a in enumerate(basis):
             aux -= coord_lifted[i]*a
-        aux = aux.reduce()
-        return aux
+        print('aux before reduce', aux)
+        #aux = aux.reduce() # Now aux = p*cech class.
+        h02 = aux.omega0.h2
+        h82 = aux.omega8.h2
+        aux -= superelliptic_drw_cech(h02.verschiebung().diffn(), (h02 - h82).verschiebung())
+        # Now aux should be of the form (V(smth), V(smth), V(smth))
+        print('aux V(smth)', aux)
+        aux_divided_by_p = superelliptic_cech(C, aux.omega0.omega.cartier(), aux.f.f.pth_root())
+        print('aux.omega0.omega.cartier()', aux.omega0.omega.cartier())
+        coord_aux_divided_by_p = aux_divided_by_p.coordinates()
+        coord_aux_divided_by_p = [ZZ(a) for a in coord_aux_divided_by_p]
+        coordinates = [ (coord_lifted[i] + p*coord_aux_divided_by_p[i])%p^2 for i in range(2*g)]
+        return coordinates
         
 
 def de_rham_witt_lift(cech_class, prec = 50):
@@ -335,19 +353,24 @@ def de_rham_witt_lift(cech_class, prec = 50):
     omega0 = cech_class.omega0
     omega8 = cech_class.omega8
     fct = cech_class.f
-    omega0_regular = regular_form(omega0)
+    omega0_regular = regular_form(omega0) #Present omega0 in the form P dx + Q dy
+    print(omega0_regular)
     omega0_lift = omega0_regular[0].teichmuller()*(C.x.teichmuller().diffn()) + omega0_regular[1].teichmuller()*(C.y.teichmuller().diffn())
-    omega8_regular = regular_form(second_patch(omega8))
+    #Now the obvious lift of omega0 = P dx + Q dy to de Rham-Witt is [P] d[x] + [Q] d[y]
+    omega8_regular = regular_form(second_patch(omega8)) # The same for omega8.
     omega8_regular = (second_patch(omega8_regular[0]), second_patch(omega8_regular[1]))
     u = (C.x)^(-1)
     v = (C.y)/(C.x)^(g+1)
-    omega8_lift = omega0_regular[0].teichmuller()*(u.teichmuller().diffn()) + omega0_regular[1].teichmuller()*(v.teichmuller().diffn())
-    aux = omega0_lift - omega8_lift - fct.teichmuller().diffn()
-    decom_aux_h2 = decomposition_g0_g8(aux.h2, prec=prec)
+    omega8_lift = omega8_regular[0].teichmuller()*(u.teichmuller().diffn()) + omega8_regular[1].teichmuller()*(v.teichmuller().diffn())
+    print('omega8_lift.frobenius().expansion_at_infty()', omega8_lift.frobenius().expansion_at_infty())
+    aux = omega0_lift - omega8_lift - fct.teichmuller().diffn() # now aux is of the form (V(smth) + dV(smth), V(smth))
+    if aux.h1.function != 0:
+        raise ValueError('Something went wrong - aux is not of the form (V(smth) + dV(smth), V(smth)).')
+    decom_aux_h2 = decomposition_g0_g8(aux.h2, prec=prec) #decompose dV(smth) in aux as smth regular on U0 - smth regular on U8.
     aux_h2 = decom_aux_h2[0]
     aux_f = decom_aux_h2[2]
     aux_omega0 = decomposition_omega0_omega8(aux.omega, prec=prec)[0]
-    result = superelliptic_drw_cech(omega0_lift + aux_h2.verschiebung().diffn() + aux_omega0.verschiebung(), fct.teichmuller() + aux_f.verschiebung())
+    result = superelliptic_drw_cech(omega0_lift - aux_h2.verschiebung().diffn() - aux_omega0.verschiebung(), fct.teichmuller() + aux_f.verschiebung())
     return result.reduce()
 
 def crystalline_cohomology_basis(self, prec = 50):
diff --git a/sage/init.sage b/sage/init.sage
index f12681d..b1044c1 100644
--- a/sage/init.sage
+++ b/sage/init.sage
@@ -25,6 +25,7 @@ load('drafty/regular_on_U0.sage')
 load('drafty/lift_to_de_rham.sage')
 #load('drafty/superelliptic_cohomology_class.sage')
 load('drafty/superelliptic_drw.sage')
+load('drafty/draft.sage')
 #load('drafty/draft_klein_covers.sage')
-load('drafty/2gpcovers.sage')
+#load('drafty/2gpcovers.sage')
 load('drafty/pole_numbers.sage')
\ No newline at end of file
diff --git a/sage/superelliptic/decomposition_into_g0_g8.sage b/sage/superelliptic/decomposition_into_g0_g8.sage
index d39b951..e6ce230 100644
--- a/sage/superelliptic/decomposition_into_g0_g8.sage
+++ b/sage/superelliptic/decomposition_into_g0_g8.sage
@@ -1,5 +1,6 @@
 def decomposition_g0_g8(fct, prec = 50):
-    '''Writes fct as a difference g0 - g8, with g0 regular on the affine patch and g8 at the points in infinity.'''
+    '''Writes fct as a difference g0 - g8 + f, with g0 regular on the affine patch and g8 at the points in infinity
+    and f is combination of basis of H^1(X, OX). Output is (g0, g8, f).'''
     C = fct.curve
     g = C.genus()
     coord = fct.coordinates()
@@ -7,8 +8,6 @@ def decomposition_g0_g8(fct, prec = 50):
     for i, a in enumerate(C.cohomology_of_structure_sheaf_basis()):
         nontrivial_part += coord[i]*a
     fct -= nontrivial_part
-    if fct.coordinates(prec=prec) != g*[0]:
-        raise ValueError("The given function cannot be written as g0 - g8.")
     
     Fxy, Rxy, x, y = C.fct_field
     fct = Fxy(fct.function)
@@ -20,7 +19,7 @@ def decomposition_g0_g8(fct, prec = 50):
     for monomial in num.monomials():
         aux = superelliptic_function(C, monomial)
         if aux.expansion_at_infty().valuation() >= aux_den.expansion_at_infty().valuation():
-            g8 += num.monomial_coefficient(monomial)*aux/aux_den
+            g8 -= num.monomial_coefficient(monomial)*aux/aux_den
         else:
             g0 += num.monomial_coefficient(monomial)*aux/aux_den
     return (g0, g8, nontrivial_part)
diff --git a/sage/superelliptic/superelliptic_form_class.sage b/sage/superelliptic/superelliptic_form_class.sage
index f181e28..85164cc 100644
--- a/sage/superelliptic/superelliptic_form_class.sage
+++ b/sage/superelliptic/superelliptic_form_class.sage
@@ -100,6 +100,8 @@ class superelliptic_form:
         FxRy.<y> = PolynomialRing(Fx)
         g = reduction(C, y^m*g)
         g = FxRy(g)
+        if j == 0:
+            return g.monomial_coefficient(y^(0))/C.polynomial
         return g.monomial_coefficient(y^(m-j))
     
     def is_regular_on_U0(self):
@@ -107,7 +109,7 @@ class superelliptic_form:
         F = C.base_ring
         m = C.exponent
         Rx.<x> = PolynomialRing(F)
-        for j in range(1, m):
+        for j in range(0, m):
             if self.jth_component(j) not in Rx:
                 return 0
         return 1
@@ -138,6 +140,15 @@ class superelliptic_form:
         dx_series = x_series.derivative()
         return g*dx_series
     
+    def expansion(self, pt, prec = 50):
+        '''Expansion in the completed ring of the point pt. If pt is an integer, it means the corresponding place at infinity.'''
+        if pt in ZZ:
+            return self.expansion_at_infty(place=pt, prec=prec)
+        C = self.curve
+        dx_series = C.x.expansion(pt = pt, prec=prec).derivative()
+        aux_fct = superelliptic_function(C, self.form)
+        return aux_fct.expansion(pt=pt, prec=prec)*dx_series
+        
     def residue(self, place = 0, prec=30):
         return self.expansion_at_infty(place = place, prec=prec)[-1]
     
diff --git a/sage/superelliptic/superelliptic_function_class.sage b/sage/superelliptic/superelliptic_function_class.sage
index 2771bd5..f93f91c 100644
--- a/sage/superelliptic/superelliptic_function_class.sage
+++ b/sage/superelliptic/superelliptic_function_class.sage
@@ -135,6 +135,30 @@ class superelliptic_function:
         xx = Rt(1/(t^M*ww^b))
         yy = 1/(t^R*ww^a)
         return Rt(fct(x = Rt(xx), y = Rt(yy)))
+    
+    def expansion(self, pt, prec = 50):
+        '''Expansion in the completed ring of the point pt. If pt is an integer, it means the corresponding place at infinity.'''
+        if pt in ZZ:
+            return self.expansion_at_infty(place=pt, prec=prec)
+        x0, y0 = pt[0], pt[1]
+        C = self.curve
+        f = C.polynomial
+        F = C.base_ring
+        m = C.exponent
+        Rt.<t> = LaurentSeriesRing(F, default_prec=prec)
+        Rxy.<x, y> = PolynomialRing(F, 2)
+        Fxy = FractionField(Rxy)
+        if y0 !=0 and f.derivative()(x0) != 0:
+            y_series = f(x = t + x0).nth_root(m)
+            return Rt(self.function(x = t + x0, y = y_series))
+        if f.derivative()(x0) == 0: # then x - x0 is a uniformizer
+            y_series = Rt(f(x = t+x0).nth_root(m))
+            return Rt(self.function(x = t + x0, y = y_series))
+        if y0 == 0: #then y is a uniformizer
+            f1 = f(x = x+x0) - y0
+            x_series = new_reverse(f1(x = t), prec = prec)
+            x_series = x_series(t = t^m - y0) + x0
+            return self.function(x = x_series,  y = t)
 
     def pth_root(self):
         '''Compute p-th root of given function. This uses the following fact: if h = H^p, then C(h*dx/x) = H*dx/x.'''