DeRhamComputation/drafty/draft2.sage

p = 3
F = GF(3^2, 'a')
Rx.<x> = PolynomialRing(F)
P1 = superelliptic(x^2 + 1, 2)
fct1 = (P1.x)^2
fct2 = fct1 + (P1.x)/(P1.y - P1.x)
fct3 = (P1.x)^4
C = heisenberg_cover(P1, [1/2*fct1, fct2, fct3], prec=300)
print(C)
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`
corrected as_transform at non-totally ramified pts 2024-02-08 20:45:54 +01:00			`F = GF(3^2, 'a')`
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`
			`fct2 = fct1 + (P1.x)/(P1.y - P1.x)`
			`fct3 = (P1.x)^4`
corrected as_transform at non-totally ramified pts 2024-02-08 20:45:54 +01:00			`C = heisenberg_cover(P1, [1/2*fct1, fct2, fct3], prec=300)`
new nth_root procedure for power series 2024-01-03 10:06:35 +01:00			`print(C)`
non-totally ramified pts and holo diffs - first try 2024-02-08 21:38:34 +01:00			`B = C.holomorphic_differentials_basis()`
			`print("Computed basis")`
			`a1, b1, c1 = heisenberg_group_action_matrices_holo(C, basis = B)`