DeRhamComputation/drafty/draft2.sage

p = 3
F = GF(3)
#F.<a> = GF(3^2)
Rx.<x> = PolynomialRing(F)
P1 = superelliptic(x^2 + 1, 2)
fct1 = (P1.x)^2
fct2 = (fct1 + P1.one/(P1.y - P1.x))
fct3 = 0*P1.x
C = heisenberg_cover(P1, [fct1, fct2, fct3], prec=200)
print(C, '\n', C.genus(), '\n', C.jumps)
#B = C.holomorphic_differentials_basis()
#print("Computed basis")
#a1, b1, c1 = heisenberg_group_action_matrices_holo(C, basis = B)
heisenberg covers added 2024-02-08 20:25:10 +01:00			`p = 3`
as transform for unramified points fixed 2024-02-10 13:41:04 +01:00			`F = GF(3)`
			`#F.<a> = GF(3^2)`
new nth_root procedure for power series 2024-01-03 10:06:35 +01:00			`Rx.<x> = PolynomialRing(F)`
corrected as_transform at non-totally ramified pts 2024-02-08 20:45:54 +01:00			`P1 = superelliptic(x^2 + 1, 2)`
heisenberg covers added 2024-02-08 20:25:10 +01:00			`fct1 = (P1.x)^2`
as transform for unramified points fixed 2024-02-10 13:41:04 +01:00			`fct2 = (fct1 + P1.one/(P1.y - P1.x))`
			`fct3 = 0*P1.x`
			`C = heisenberg_cover(P1, [fct1, fct2, fct3], prec=200)`
			`print(C, '\n', C.genus(), '\n', C.jumps)`
			`#B = C.holomorphic_differentials_basis()`
non-totally ramified pts and holo diffs - 2nd try 2024-02-09 10:09:09 +01:00			`#print("Computed basis")`
			`#a1, b1, c1 = heisenberg_group_action_matrices_holo(C, basis = B)`