1.1 MiB
1.1 MiB
%matplotlib inline
%load_ext pycodestyle_magic
# display full output, not only last result, except ended with semicolon
from IPython.core.interactiveshell import InteractiveShell
InteractiveShell.ast_node_interactivity = 'all';
from IPython.display import Image, SVG
# magic functions that do not work in current ipython --version
#
# auto check each cell, E703 - "statement ends with a semicolon"
# %flake8_on --ignore E703
The pycodestyle_magic extension is already loaded. To reload it, use: %reload_ext pycodestyle_magic
import importlib
def import_sage(module_name):
importlib.invalidate_caches()
sage_name = module_name + ".sage"
python_name = module_name + ".sage.py"
if os.path.isfile(sage_name):
os.system('sage --preparse {}'.format(sage_name));
os.system('mv {} {}.py'.format(python_name, module_name))
if module_name in sys.modules:
return importlib.reload(sys.modules[module_name])
return importlib.import_module(module_name, package=None)
cs = import_sage('cable_signature')
# sig = import_sage('signature')Other cables
knot_formula = "[[k[0], k[1], k[3]]," + \
" [-k[1], -k[3]]," + \
" [k[2], k[3]]," + \
" [-k[0], -k[2], -k[3]]]"
# q_vector = (3, 5, 7, 13)
q_vector = (3, 5, 7, 11)
template = cs.CableTemplate(knot_formula, q_vector=q_vector, verbose=True)
cable = template.cable
# cable.plot_all_summands()
cable.is_function_big_for_all_metabolizers(invariant=cs.SIGMA)T(2, 3; 2, 5; 2, 11), theta = 0 pp = 0, satellite_part = 0 -T(2, 5; 2, 11), theta = 0 pp = 0, satellite_part = 0 T(2, 7; 2, 11), theta = 1 pp = -101/11, satellite_part = -4 -T(2, 3; 2, 7; 2, 11), theta = 1 pp = 101/11, satellite_part = -8 ********** [0, 0, 1, 1] -12 T(2, 3; 2, 5; 2, 11), theta = 0 pp = 0, satellite_part = 0 -T(2, 5; 2, 11), theta = 1 pp = 101/11, satellite_part = 0 T(2, 7; 2, 11), theta = 1 pp = -101/11, satellite_part = -4 -T(2, 3; 2, 7; 2, 11), theta = 0 pp = 0, satellite_part = 0 ********** [0, 1, 1, 0] -4 T(2, 3; 2, 5; 2, 11), theta = 0 pp = 0, satellite_part = 0 -T(2, 5; 2, 11), theta = 2 pp = 85/11, satellite_part = -4 T(2, 7; 2, 11), theta = 2 pp = -85/11, satellite_part = -4 -T(2, 3; 2, 7; 2, 11), theta = 0 pp = 0, satellite_part = 0 [0, 2, 2, 0] -8 T(2, 3; 2, 5; 2, 11), theta = 0 pp = 0, satellite_part = 0 -T(2, 5; 2, 11), theta = 2 pp = 85/11, satellite_part = -4 T(2, 7; 2, 11), theta = 2 pp = -85/11, satellite_part = -4 -T(2, 3; 2, 7; 2, 11), theta = 0 pp = 0, satellite_part = 0 ********** [0, 2, 2, 0] -8 T(2, 3; 2, 5; 2, 11), theta = 0 pp = 0, satellite_part = 0 -T(2, 5; 2, 11), theta = 2 pp = 85/11, satellite_part = -4 T(2, 7; 2, 11), theta = 4 pp = -65/11, satellite_part = -12 -T(2, 3; 2, 7; 2, 11), theta = 1 pp = 101/11, satellite_part = -8 ********** [0, 2, 4, 1] -13 T(2, 3; 2, 5; 2, 11), theta = 0 pp = 0, satellite_part = 0 -T(2, 5; 2, 11), theta = 3 pp = 73/11, satellite_part = -4 T(2, 7; 2, 11), theta = 3 pp = -73/11, satellite_part = -8 -T(2, 3; 2, 7; 2, 11), theta = 0 pp = 0, satellite_part = 0 ********** [0, 3, 3, 0] -12 T(2, 3; 2, 5; 2, 11), theta = 0 pp = 0, satellite_part = 0 -T(2, 5; 2, 11), theta = 4 pp = 65/11, satellite_part = -8 T(2, 7; 2, 11), theta = 4 pp = -65/11, satellite_part = -12 -T(2, 3; 2, 7; 2, 11), theta = 0 pp = 0, satellite_part = 0 ********** [0, 4, 4, 0] -20 T(2, 3; 2, 5; 2, 11), theta = 0 pp = 0, satellite_part = 0 -T(2, 5; 2, 11), theta = 5 pp = 61/11, satellite_part = -8 T(2, 7; 2, 11), theta = 2 pp = -85/11, satellite_part = -4 -T(2, 3; 2, 7; 2, 11), theta = 1 pp = 101/11, satellite_part = -8 ********** [0, 5, 2, 1] -13 T(2, 3; 2, 5; 2, 11), theta = 0 pp = 0, satellite_part = 0 -T(2, 5; 2, 11), theta = 5 pp = 61/11, satellite_part = -8 T(2, 7; 2, 11), theta = 5 pp = -61/11, satellite_part = -12 -T(2, 3; 2, 7; 2, 11), theta = 0 pp = 0, satellite_part = 0 ********** [0, 5, 5, 0] -20 T(2, 3; 2, 5; 2, 11), theta = 1 pp = -101/11, satellite_part = -4 -T(2, 5; 2, 11), theta = 0 pp = 0, satellite_part = 0 T(2, 7; 2, 11), theta = 0 pp = 0, satellite_part = 0 -T(2, 3; 2, 7; 2, 11), theta = 1 pp = 101/11, satellite_part = -8 ********** [1, 0, 0, 1] -12 T(2, 3; 2, 5; 2, 11), theta = 1 pp = -101/11, satellite_part = -4 -T(2, 5; 2, 11), theta = 1 pp = 101/11, satellite_part = 0 T(2, 7; 2, 11), theta = 0 pp = 0, satellite_part = 0 -T(2, 3; 2, 7; 2, 11), theta = 0 pp = 0, satellite_part = 0 ********** [1, 1, 0, 0] -4 T(2, 3; 2, 5; 2, 11), theta = 2 pp = -85/11, satellite_part = -8 -T(2, 5; 2, 11), theta = 2 pp = 85/11, satellite_part = -4 T(2, 7; 2, 11), theta = 0 pp = 0, satellite_part = 0 -T(2, 3; 2, 7; 2, 11), theta = 0 pp = 0, satellite_part = 0 [2, 2, 0, 0] -12 T(2, 3; 2, 5; 2, 11), theta = 1 pp = -101/11, satellite_part = -4 -T(2, 5; 2, 11), theta = 1 pp = 101/11, satellite_part = 0 T(2, 7; 2, 11), theta = 1 pp = -101/11, satellite_part = -4 -T(2, 3; 2, 7; 2, 11), theta = 1 pp = 101/11, satellite_part = -8 ********** [1, 1, 1, 1] -16 T(2, 3; 2, 5; 2, 11), theta = 1 pp = -101/11, satellite_part = -4 -T(2, 5; 2, 11), theta = 2 pp = 85/11, satellite_part = -4 T(2, 7; 2, 11), theta = 2 pp = -85/11, satellite_part = -4 -T(2, 3; 2, 7; 2, 11), theta = 1 pp = 101/11, satellite_part = -8 ********** [1, 2, 2, 1] -20 T(2, 3; 2, 5; 2, 11), theta = 1 pp = -101/11, satellite_part = -4 -T(2, 5; 2, 11), theta = 2 pp = 85/11, satellite_part = -4 T(2, 7; 2, 11), theta = 5 pp = -61/11, satellite_part = -12 -T(2, 3; 2, 7; 2, 11), theta = 0 pp = 0, satellite_part = 0 ********** [1, 2, 5, 0] -27 T(2, 3; 2, 5; 2, 11), theta = 1 pp = -101/11, satellite_part = -4 -T(2, 5; 2, 11), theta = 3 pp = 73/11, satellite_part = -4 T(2, 7; 2, 11), theta = 3 pp = -73/11, satellite_part = -8 -T(2, 3; 2, 7; 2, 11), theta = 1 pp = 101/11, satellite_part = -8 ********** [1, 3, 3, 1] -24 T(2, 3; 2, 5; 2, 11), theta = 1 pp = -101/11, satellite_part = -4 -T(2, 5; 2, 11), theta = 4 pp = 65/11, satellite_part = -8 T(2, 7; 2, 11), theta = 2 pp = -85/11, satellite_part = -4 -T(2, 3; 2, 7; 2, 11), theta = 0 pp = 0, satellite_part = 0 ********** [1, 4, 2, 0] -27 T(2, 3; 2, 5; 2, 11), theta = 1 pp = -101/11, satellite_part = -4 -T(2, 5; 2, 11), theta = 4 pp = 65/11, satellite_part = -8 T(2, 7; 2, 11), theta = 4 pp = -65/11, satellite_part = -12 -T(2, 3; 2, 7; 2, 11), theta = 1 pp = 101/11, satellite_part = -8 ********** [1, 4, 4, 1] -32 T(2, 3; 2, 5; 2, 11), theta = 1 pp = -101/11, satellite_part = -4 -T(2, 5; 2, 11), theta = 5 pp = 61/11, satellite_part = -8 T(2, 7; 2, 11), theta = 5 pp = -61/11, satellite_part = -12 -T(2, 3; 2, 7; 2, 11), theta = 1 pp = 101/11, satellite_part = -8 ********** [1, 5, 5, 1] -32 T(2, 3; 2, 5; 2, 11), theta = 2 pp = -85/11, satellite_part = -8 -T(2, 5; 2, 11), theta = 1 pp = 101/11, satellite_part = 0 T(2, 7; 2, 11), theta = 3 pp = -73/11, satellite_part = -8 -T(2, 3; 2, 7; 2, 11), theta = 1 pp = 101/11, satellite_part = -8 ********** [2, 1, 3, 1] -20 T(2, 3; 2, 5; 2, 11), theta = 2 pp = -85/11, satellite_part = -8 -T(2, 5; 2, 11), theta = 2 pp = 85/11, satellite_part = -4 T(2, 7; 2, 11), theta = 0 pp = 0, satellite_part = 0 -T(2, 3; 2, 7; 2, 11), theta = 0 pp = 0, satellite_part = 0 ********** [2, 2, 0, 0] -12 T(2, 3; 2, 5; 2, 11), theta = 2 pp = -85/11, satellite_part = -8 -T(2, 5; 2, 11), theta = 2 pp = 85/11, satellite_part = -4 T(2, 7; 2, 11), theta = 1 pp = -101/11, satellite_part = -4 -T(2, 3; 2, 7; 2, 11), theta = 1 pp = 101/11, satellite_part = -8 ********** [2, 2, 1, 1] -24 T(2, 3; 2, 5; 2, 11), theta = 2 pp = -85/11, satellite_part = -8 -T(2, 5; 2, 11), theta = 3 pp = 73/11, satellite_part = -4 T(2, 7; 2, 11), theta = 4 pp = -65/11, satellite_part = -12 -T(2, 3; 2, 7; 2, 11), theta = 0 pp = 0, satellite_part = 0 ********** [2, 3, 4, 0] -31 T(2, 3; 2, 5; 2, 11), theta = 2 pp = -85/11, satellite_part = -8 -T(2, 5; 2, 11), theta = 4 pp = 65/11, satellite_part = -8 T(2, 7; 2, 11), theta = 1 pp = -101/11, satellite_part = -4 -T(2, 3; 2, 7; 2, 11), theta = 0 pp = 0, satellite_part = 0 ********** [2, 4, 1, 0] -31 T(2, 3; 2, 5; 2, 11), theta = 2 pp = -85/11, satellite_part = -8 -T(2, 5; 2, 11), theta = 5 pp = 61/11, satellite_part = -8 T(2, 7; 2, 11), theta = 0 pp = 0, satellite_part = 0 -T(2, 3; 2, 7; 2, 11), theta = 1 pp = 101/11, satellite_part = -8 ********** [2, 5, 0, 1] -17 T(2, 3; 2, 5; 2, 11), theta = 3 pp = -73/11, satellite_part = -8 -T(2, 5; 2, 11), theta = 0 pp = 0, satellite_part = 0 T(2, 7; 2, 11), theta = 5 pp = -61/11, satellite_part = -12 -T(2, 3; 2, 7; 2, 11), theta = 1 pp = 101/11, satellite_part = -8 ********** [3, 0, 5, 1] -31 T(2, 3; 2, 5; 2, 11), theta = 3 pp = -73/11, satellite_part = -8 -T(2, 5; 2, 11), theta = 1 pp = 101/11, satellite_part = 0 T(2, 7; 2, 11), theta = 2 pp = -85/11, satellite_part = -4 -T(2, 3; 2, 7; 2, 11), theta = 1 pp = 101/11, satellite_part = -8 ********** [3, 1, 2, 1] -16 T(2, 3; 2, 5; 2, 11), theta = 3 pp = -73/11, satellite_part = -8 -T(2, 5; 2, 11), theta = 1 pp = 101/11, satellite_part = 0 T(2, 7; 2, 11), theta = 5 pp = -61/11, satellite_part = -12 -T(2, 3; 2, 7; 2, 11), theta = 0 pp = 0, satellite_part = 0 ********** [3, 1, 5, 0] -23 T(2, 3; 2, 5; 2, 11), theta = 3 pp = -73/11, satellite_part = -8 -T(2, 5; 2, 11), theta = 3 pp = 73/11, satellite_part = -4 T(2, 7; 2, 11), theta = 0 pp = 0, satellite_part = 0 -T(2, 3; 2, 7; 2, 11), theta = 0 pp = 0, satellite_part = 0 ********** [3, 3, 0, 0] -12 T(2, 3; 2, 5; 2, 11), theta = 3 pp = -73/11, satellite_part = -8 -T(2, 5; 2, 11), theta = 3 pp = 73/11, satellite_part = -4 T(2, 7; 2, 11), theta = 1 pp = -101/11, satellite_part = -4 -T(2, 3; 2, 7; 2, 11), theta = 1 pp = 101/11, satellite_part = -8 ********** [3, 3, 1, 1] -24 T(2, 3; 2, 5; 2, 11), theta = 3 pp = -73/11, satellite_part = -8 -T(2, 5; 2, 11), theta = 5 pp = 61/11, satellite_part = -8 T(2, 7; 2, 11), theta = 4 pp = -65/11, satellite_part = -12 -T(2, 3; 2, 7; 2, 11), theta = 0 pp = 0, satellite_part = 0 ********** [3, 5, 4, 0] -35 T(2, 3; 2, 5; 2, 11), theta = 4 pp = -65/11, satellite_part = -12 -T(2, 5; 2, 11), theta = 2 pp = 85/11, satellite_part = -4 T(2, 7; 2, 11), theta = 0 pp = 0, satellite_part = 0 -T(2, 3; 2, 7; 2, 11), theta = 1 pp = 101/11, satellite_part = -8 ********** [4, 2, 0, 1] -13 T(2, 3; 2, 5; 2, 11), theta = 4 pp = -65/11, satellite_part = -12 -T(2, 5; 2, 11), theta = 3 pp = 73/11, satellite_part = -4 T(2, 7; 2, 11), theta = 2 pp = -85/11, satellite_part = -4 -T(2, 3; 2, 7; 2, 11), theta = 0 pp = 0, satellite_part = 0 ********** [4, 3, 2, 0] -27 T(2, 3; 2, 5; 2, 11), theta = 4 pp = -65/11, satellite_part = -12 -T(2, 5; 2, 11), theta = 3 pp = 73/11, satellite_part = -4 T(2, 7; 2, 11), theta = 4 pp = -65/11, satellite_part = -12 -T(2, 3; 2, 7; 2, 11), theta = 1 pp = 101/11, satellite_part = -8 ********** [4, 3, 4, 1] -32 T(2, 3; 2, 5; 2, 11), theta = 4 pp = -65/11, satellite_part = -12 -T(2, 5; 2, 11), theta = 4 pp = 65/11, satellite_part = -8 T(2, 7; 2, 11), theta = 0 pp = 0, satellite_part = 0 -T(2, 3; 2, 7; 2, 11), theta = 0 pp = 0, satellite_part = 0 ********** [4, 4, 0, 0] -20 T(2, 3; 2, 5; 2, 11), theta = 4 pp = -65/11, satellite_part = -12 -T(2, 5; 2, 11), theta = 4 pp = 65/11, satellite_part = -8 T(2, 7; 2, 11), theta = 1 pp = -101/11, satellite_part = -4 -T(2, 3; 2, 7; 2, 11), theta = 1 pp = 101/11, satellite_part = -8 ********** [4, 4, 1, 1] -32 T(2, 3; 2, 5; 2, 11), theta = 4 pp = -65/11, satellite_part = -12 -T(2, 5; 2, 11), theta = 5 pp = 61/11, satellite_part = -8 T(2, 7; 2, 11), theta = 3 pp = -73/11, satellite_part = -8 -T(2, 3; 2, 7; 2, 11), theta = 0 pp = 0, satellite_part = 0 ********** [4, 5, 3, 0] -35 T(2, 3; 2, 5; 2, 11), theta = 5 pp = -61/11, satellite_part = -8 -T(2, 5; 2, 11), theta = 0 pp = 0, satellite_part = 0 T(2, 7; 2, 11), theta = 3 pp = -73/11, satellite_part = -8 -T(2, 3; 2, 7; 2, 11), theta = 1 pp = 101/11, satellite_part = -8 ********** [5, 0, 3, 1] -27 T(2, 3; 2, 5; 2, 11), theta = 5 pp = -61/11, satellite_part = -8 -T(2, 5; 2, 11), theta = 1 pp = 101/11, satellite_part = 0 T(2, 7; 2, 11), theta = 3 pp = -73/11, satellite_part = -8 -T(2, 3; 2, 7; 2, 11), theta = 0 pp = 0, satellite_part = 0 ********** [5, 1, 3, 0] -19 T(2, 3; 2, 5; 2, 11), theta = 5 pp = -61/11, satellite_part = -8 -T(2, 5; 2, 11), theta = 2 pp = 85/11, satellite_part = -4 T(2, 7; 2, 11), theta = 1 pp = -101/11, satellite_part = -4 -T(2, 3; 2, 7; 2, 11), theta = 0 pp = 0, satellite_part = 0 ********** [5, 2, 1, 0] -23 T(2, 3; 2, 5; 2, 11), theta = 5 pp = -61/11, satellite_part = -8 -T(2, 5; 2, 11), theta = 4 pp = 65/11, satellite_part = -8 T(2, 7; 2, 11), theta = 5 pp = -61/11, satellite_part = -12 -T(2, 3; 2, 7; 2, 11), theta = 1 pp = 101/11, satellite_part = -8 ********** [5, 4, 5, 1] -32 T(2, 3; 2, 5; 2, 11), theta = 5 pp = -61/11, satellite_part = -8 -T(2, 5; 2, 11), theta = 5 pp = 61/11, satellite_part = -8 T(2, 7; 2, 11), theta = 0 pp = 0, satellite_part = 0 -T(2, 3; 2, 7; 2, 11), theta = 0 pp = 0, satellite_part = 0 ********** [5, 5, 0, 0] -16 T(2, 3; 2, 5; 2, 11), theta = 5 pp = -61/11, satellite_part = -8 -T(2, 5; 2, 11), theta = 5 pp = 61/11, satellite_part = -8 T(2, 7; 2, 11), theta = 1 pp = -101/11, satellite_part = -4 -T(2, 3; 2, 7; 2, 11), theta = 1 pp = 101/11, satellite_part = -8 ********** [5, 5, 1, 1] -28 OK
True
Cables with 8 direct summands
formula_1 = "[[k[0], k[5], k[3]], " + \
"[-k[1], -k[3]], " + \
"[k[2], k[3]], " + \
"[-k[0], -k[2], -k[3]]]"
formula_2 = "[[k[4], k[1], k[7]], " + \
"[-k[5], -k[7]], " + \
"[k[6], k[7]], " + \
"[-k[4], -k[6], -k[7]]]"
cable_template_1 = cs.CableTemplate(knot_formula=formula_1)
cable_template_2 = cs.CableTemplate(knot_formula=formula_2)
cable_template = cable_template_1 + cable_template_2Relatively small cables
q_vector = (5, 13, 19, 41,\
7, 17, 23, 43)
cable_template.fill_q_vector(q_vector=q_vector)
cable = cable_template.cable
print(cable.knot_description)
q_vector_small = (3, 7, 13, 19,\
5, 11, 17, 23)
cable_template.fill_q_vector(q_vector=q_vector)
cable = cable_template.cable
print(cable.knot_description)T(2, 5; 2, 17; 2, 41) # -T(2, 13; 2, 41) # T(2, 19; 2, 41) # -T(2, 5; 2, 19; 2, 41) # T(2, 7; 2, 13; 2, 43) # -T(2, 17; 2, 43) # T(2, 23; 2, 43) # -T(2, 7; 2, 23; 2, 43)
# cable.is_signature_big_for_all_metabolizers()Slice candidate
cable_template.fill_q_vector()
# print(cable_template.q_vector)
# print(cable_template.knot_formula)
slice_canidate = cable_template.cable
print(slice_canidate.knot_description)
sf = slice_canidate(4,4,4,4,0,0,0,0)
sf = slice_canidate(4,1,1,4,0,0,0,0)
# cable.is_signature_big_for_all_metabolizers()
T(2, 5; 2, 71; 2, 347) # -T(2, 67; 2, 347) # T(2, 61; 2, 347) # -T(2, 5; 2, 61; 2, 347) # T(2, 11; 2, 67; 2, 367) # -T(2, 71; 2, 367) # T(2, 79; 2, 367) # -T(2, 11; 2, 79; 2, 367)
# knot_formula = "[[k[0], k[1], k[4]], [-k[1], -k[3]],\
# [k[2], k[3]], [-k[0], -k[2], -k[4]]]"
# knot_formula = "[[k[3]], [-k[3]],\
# [k[3]], [-k[3]] ]"
# knot_formula = "[[k[3], k[2], k[0]], [-k[2], -k[0]],\
# [k[1], k[0]], [-k[3], -k[1], -k[0]]]"
# knot_formula = "[[k[0], k[1], k[2]], [k[3], k[4]],\
# [-k[0], -k[3], -k[4]], [-k[1], -k[2]]]"
# knot_formula = "[[k[0], k[1], k[2]], [k[3]],\
# [-k[0], -k[1], -k[3]], [-k[2]]]"formula_1 = "[[k[0], k[5], k[3]], " + \
"[-k[1], -k[3]], " + \
"[k[2], k[3]], " + \
"[-k[0], -k[2], -k[3]]]"
formula_2 = "[[k[4], k[1], k[7]], " + \
"[-k[5], -k[7]], " + \
"[k[6], k[7]], " + \
"[-k[4], -k[6], -k[7]]]"
cable_template_1 = cs.CableTemplate(knot_formula=formula_1)
cable_template_2 = cs.CableTemplate(knot_formula=formula_2)
cable_template = cable_template_1 + cable_template_2
cable_template.fill_q_vector()
# print(cable_template.q_vector)
# print(cable_template.knot_formula)
slice_canidate = cable_template.cable
print(slice_canidate.knot_description)
sf = slice_canidate(4,4,4,4,0,0,0,0)
sf = slice_canidate(4,1,1,4,0,0,0,0)
slice_canidate.q_order
# slice_canidate.is_signature_big_for_all_metabolizers()T(2, 5; 2, 71; 2, 347) # -T(2, 67; 2, 347) # T(2, 61; 2, 347) # -T(2, 5; 2, 61; 2, 347) # T(2, 11; 2, 67; 2, 367) # -T(2, 71; 2, 367) # T(2, 79; 2, 367) # -T(2, 11; 2, 79; 2, 367)
127349
formula_1 = "[[k[0], k[5], k[3]], " + \
"[-k[5], -k[3]], " + \
"[k[2], k[3]], " + \
"[-k[4], -k[2], -k[3]]]"
formula_2 = "[[k[4], k[1], k[7]], " + \
"[-k[1], -k[7]], " + \
"[k[6], k[7]], " + \
"[-k[0], -k[6], -k[7]]]"
cable_template_1 = cs.CableTemplate(knot_formula=formula_1)
cable_template_2 = cs.CableTemplate(knot_formula=formula_2)
cable_template = cable_template_1 + cable_template_2
cable_template.fill_q_vector()
slice_canidate = cable_template.cable
print(slice_canidate.knot_description)
slice_canidate.q_order
# slice_canidate.is_signature_big_for_all_metabolizers()
sigma = slice_canidate.get_sigma_as_function_of_theta()
# sigma((0, 6, 6, 0, 0,0,0,0))
# 13450/83
sigma((9, 9, 9, 9, 0,0,0,0))T(2, 11; 2, 53; 2, 347) # -T(2, 53; 2, 347) # T(2, 61; 2, 347) # -T(2, 7; 2, 61; 2, 347) # T(2, 7; 2, 71; 2, 367) # -T(2, 71; 2, 367) # T(2, 79; 2, 367) # -T(2, 11; 2, 79; 2, 367)
127349
not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose
-28
formula_1 = "[[k[0], k[5], k[3]], " + \
"[-k[1], -k[3]], " + \
"[ k[3]], " + \
"[-k[4], -k[6], -k[3]]]"
formula_2 = "[[k[4], k[1], k[7]], " + \
"[ -k[7]], " + \
"[k[6], k[7]], " + \
"[-k[0], -k[5], -k[7]]]"
cable_template_1 = cs.CableTemplate(knot_formula=formula_1)
cable_template_2 = cs.CableTemplate(knot_formula=formula_2)
cable_template = cable_template_1 + cable_template_2
cable_template.fill_q_vector()
# print(cable_template.q_vector)
# print(cable_template.knot_formula)
slice_canidate = cable_template.cable
print(slice_canidate.knot_description)
sf = slice_canidate(4,4,4,4,0,0,0,0)
sf = slice_canidate(4,1,1,4,0,0,0,0)
# slice_canidate.is_signature_big_for_all_metabolizers()T(2, 11; 2, 71; 2, 313) # -T(2, 61; 2, 313) # T(2, 313) # -T(2, 7; 2, 67; 2, 313) # T(2, 7; 2, 61; 2, 347) # -T(2, 347) # T(2, 67; 2, 347) # -T(2, 11; 2, 71; 2, 347)
formula_1 = " [ [k[5], k[3]], " + \
" [ -k[1], -k[3]], " + \
" [ k[3]], " + \
"[-k[4], -k[6], -k[3]]]"
formula_2 = "[[k[4], k[1], k[7]], " + \
"[ -k[7]], " + \
"[k[6], k[7]], " + \
"[-k[5], -k[7]]]"
cable_template_1 = cs.CableTemplate(knot_formula=formula_1)
cable_template_2 = cs.CableTemplate(knot_formula=formula_2)
cable_template = cable_template_1 + cable_template_2
cable_template.fill_q_vector()
# print(cable_template.q_vector)
# print(cable_template.knot_formula)
slice_canidate = cable_template.cable
print(slice_canidate.knot_description)
sf = slice_canidate(4,4,4,4,0,0,0,0)
sf = slice_canidate(4,1,1,4,0,0,0,0)
slice_canidate.q_order
# slice_canidate.is_signature_big_for_all_metabolizers()
T(2, 43; 2, 191) # -T(2, 37; 2, 191) # T(2, 191) # -T(2, 5; 2, 41; 2, 191) # T(2, 5; 2, 37; 2, 211) # -T(2, 211) # T(2, 41; 2, 211) # -T(2, 43; 2, 211)
40301
sf = slice_canidate()
sf = sf[2]sf.plot()formula_1 = "[ [k[5], k[3]], " + \
"[ -k[1], -k[3]], " + \
"[ k[3]], " + \
"[ -k[6], -k[3]]]"
formula_2 = "[[ k[1], k[7]], " + \
"[ -k[7]], " + \
"[ k[6], k[7]], " + \
"[ -k[5], -k[7]]]"
cable_template_1 = cs.CableTemplate(knot_formula=formula_1)
cable_template_2 = cs.CableTemplate(knot_formula=formula_2)
cable_template = cable_template_1 + cable_template_2
cable_template.fill_q_vector()
# print(cable_template.q_vector)
# print(cable_template.knot_formula)
slice_canidate = cable_template.cable
print(slice_canidate.knot_description)
sf = slice_canidate(4,4,4,4,0,0,0,0)
sf = slice_canidate(4,1,1,4,0,0,0,0)
slice_canidate.q_orderT(2, 17; 2, 83) # -T(2, 11; 2, 83) # T(2, 83) # -T(2, 13; 2, 83) # T(2, 11; 2, 103) # -T(2, 103) # T(2, 13; 2, 103) # -T(2, 17; 2, 103)
8549
# slice_canidate.is_sigma_big_for_all_metabolizers()
# slice_canidate.is_signature_big_for_all_metabolizers()
# slice_canidate.is_function_big_for_all_metabolizers()slice_canidate.is_function_big_for_all_metabolizers(invariant=cs.SIGMA)not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose ********** [0, 0, 1, 1, 0, 0, 0, 0] 0 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [0, 0, 2, 2, 0, 0, 0, 0] 0 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [0, 0, 3, 3, 0, 0, 0, 0] 0 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [0, 0, 4, 4, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [0, 0, 5, 5, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [0, 0, 6, 6, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [0, 0, 7, 7, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [0, 0, 8, 8, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [0, 0, 9, 9, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [0, 0, 10, 10, 0, 0, 0, 0] -8 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose ********** [0, 1, 1, 0, 0, 0, 0, 0] 0 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [0, 2, 2, 0, 0, 0, 0, 0] 0 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [0, 3, 3, 0, 0, 0, 0, 0] 0 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [0, 4, 4, 0, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [0, 5, 5, 0, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [0, 6, 6, 0, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [0, 7, 7, 0, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [0, 8, 8, 0, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [0, 9, 9, 0, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [0, 10, 10, 0, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [0, 11, 11, 0, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [0, 12, 12, 0, 0, 0, 0, 0] -8 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose ********** [0, 2, 2, 0, 0, 0, 0, 0] 0 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [0, 4, 4, 0, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [0, 6, 6, 0, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [0, 8, 8, 0, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [0, 10, 10, 0, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [0, 12, 12, 0, 0, 0, 0, 0] -8 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose ********** [0, 3, 3, 0, 0, 0, 0, 0] 0 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [0, 6, 6, 0, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [0, 9, 9, 0, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [0, 12, 12, 0, 0, 0, 0, 0] -8 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose ********** [0, 4, 4, 0, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [0, 8, 8, 0, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [0, 12, 12, 0, 0, 0, 0, 0] -8 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose ********** [0, 5, 5, 0, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [0, 10, 10, 0, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [0, 15, 15, 0, 0, 0, 0, 0] -8 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose ********** [0, 6, 6, 0, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [0, 12, 12, 0, 0, 0, 0, 0] -8 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose ********** [0, 7, 7, 0, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [0, 14, 14, 0, 0, 0, 0, 0] -8 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose ********** [0, 8, 8, 0, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [0, 16, 16, 0, 0, 0, 0, 0] -8 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose ********** [0, 9, 9, 0, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [0, 18, 18, 0, 0, 0, 0, 0] -8 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose ********** [0, 10, 10, 0, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [0, 20, 20, 0, 0, 0, 0, 0] -12 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose ********** [0, 11, 11, 0, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [0, 22, 22, 0, 0, 0, 0, 0] -12 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose ********** [1, 0, 0, 1, 0, 0, 0, 0] 0 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [2, 0, 0, 2, 0, 0, 0, 0] 0 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [3, 0, 0, 3, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [4, 0, 0, 4, 0, 0, 0, 0] -8 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose ********** [1, 1, 0, 0, 0, 0, 0, 0] 0 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [2, 2, 0, 0, 0, 0, 0, 0] 0 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [3, 3, 0, 0, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [4, 4, 0, 0, 0, 0, 0, 0] -8 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose ********** [1, 1, 1, 1, 0, 0, 0, 0] 0 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [2, 2, 2, 2, 0, 0, 0, 0] 0 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [3, 3, 3, 3, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [4, 4, 4, 4, 0, 0, 0, 0] -12 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose ********** [1, 2, 2, 1, 0, 0, 0, 0] 0 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [2, 4, 4, 2, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [3, 6, 6, 3, 0, 0, 0, 0] -8 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [4, 8, 8, 4, 0, 0, 0, 0] -12 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose ********** [1, 3, 3, 1, 0, 0, 0, 0] 0 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [2, 6, 6, 2, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [3, 9, 9, 3, 0, 0, 0, 0] -8 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [4, 12, 12, 4, 0, 0, 0, 0] -16 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose ********** [1, 4, 4, 1, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [2, 8, 8, 2, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [3, 12, 12, 3, 0, 0, 0, 0] -12 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose ********** [1, 5, 5, 1, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [2, 10, 10, 2, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [3, 15, 15, 3, 0, 0, 0, 0] -12 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose ********** [1, 6, 6, 1, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [2, 12, 12, 2, 0, 0, 0, 0] -8 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [3, 18, 18, 3, 0, 0, 0, 0] -12 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose ********** [1, 7, 7, 1, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [2, 14, 14, 2, 0, 0, 0, 0] -8 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [3, 21, 21, 3, 0, 0, 0, 0] -16 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose ********** [1, 8, 8, 1, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [2, 16, 16, 2, 0, 0, 0, 0] -8 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [3, 24, 24, 3, 0, 0, 0, 0] -16 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose ********** [1, 9, 9, 1, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [2, 18, 18, 2, 0, 0, 0, 0] -8 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [3, 27, 27, 3, 0, 0, 0, 0] -20 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose ********** [1, 10, 10, 1, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [2, 20, 20, 2, 0, 0, 0, 0] -12 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose ********** [1, 11, 11, 1, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [2, 22, 22, 2, 0, 0, 0, 0] -12 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose ********** [1, 12, 12, 1, 0, 0, 0, 0] -8 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [2, 24, 24, 2, 0, 0, 0, 0] -12 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose ********** [1, 13, 13, 1, 0, 0, 0, 0] -8 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [2, 26, 26, 2, 0, 0, 0, 0] -12 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose ********** [1, 14, 14, 1, 0, 0, 0, 0] -8 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [2, 28, 28, 2, 0, 0, 0, 0] -16 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose ********** [1, 15, 15, 1, 0, 0, 0, 0] -8 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [2, 30, 30, 2, 0, 0, 0, 0] -16 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose ********** [1, 16, 16, 1, 0, 0, 0, 0] -8 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [2, 32, 32, 2, 0, 0, 0, 0] -16 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose ********** [1, 17, 17, 1, 0, 0, 0, 0] -8 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [2, 34, 34, 2, 0, 0, 0, 0] -20 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose ********** [1, 18, 18, 1, 0, 0, 0, 0] -8 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [2, 36, 36, 2, 0, 0, 0, 0] -20 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose ********** [2, 2, 0, 0, 0, 0, 0, 0] 0 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [4, 4, 0, 0, 0, 0, 0, 0] -8 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose ********** [2, 2, 1, 1, 0, 0, 0, 0] 0 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [4, 4, 2, 2, 0, 0, 0, 0] -8 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [6, 6, 3, 3, 0, 0, 0, 0] -8 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [8, 8, 4, 4, 0, 0, 0, 0] -16 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose ********** [2, 8, 12, 1, 0, 0, 0, 0] 4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [4, 16, 24, 2, 0, 0, 0, 0] 0 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [6, 24, 36, 3, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [8, 32, 48, 4, 0, 0, 0, 0] -20 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose ********** [2, 17, 28, 1, 0, 0, 0, 0] 4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [4, 34, 56, 2, 0, 0, 0, 0] -24 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose ********** [2, 19, 21, 1, 0, 0, 0, 0] -8 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [4, 38, 42, 2, 0, 0, 0, 0] -20 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose ********** [2, 20, 27, 1, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [4, 40, 54, 2, 0, 0, 0, 0] -24 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose ********** [2, 21, 40, 1, 0, 0, 0, 0] 0 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [4, 42, 80, 2, 0, 0, 0, 0] -56 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose ********** [2, 23, 32, 1, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [4, 46, 64, 2, 0, 0, 0, 0] -32 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose ********** [2, 25, 37, 1, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [4, 50, 74, 2, 0, 0, 0, 0] -40 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose ********** [3, 3, 0, 0, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [6, 6, 0, 0, 0, 0, 0, 0] -8 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose ********** [3, 3, 1, 1, 0, 0, 0, 0] -4 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [6, 6, 2, 2, 0, 0, 0, 0] -8 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose [9, 9, 3, 3, 0, 0, 0, 0] -12 not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose not verbose ********** [3, 5, 10, 1, 0, 0, 0, 0] 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slice_canidate.is_function_big_for_all_metabolizers(invariant=cs.SIGNATURE)sigma = slice_canidate.get_sigma_as_function_of_theta()
sigma((0, 6, 6, 0, 0,0,0,0))
# 13450/83
sigma((9, 0, 0, 9, 0,0,0,0))_, _, sf = slice_canidate((1, 1, 0, 0, 0,0,0,0))
sfcs = import_sage('cable_signature')
sg = import_sage('signature')
sg.SignaturePloter.plot(sf)cs = import_sage('cable_signature')
sg = import_sage('signature')
slice_canidate.plot_sum_for_theta_vector([0,4,0,4,0,0,0,0], save_to_dir=True)sf.plot()