DeRhamComputation/as_covers/tests/ramification_jumps_test.sage

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p = 5
m = 1
F = GF(p)
Rx.<x> = PolynomialRing(F)
f = x
C_super = superelliptic(f, m)
Rxy.<x, y> = PolynomialRing(F, 2)
f1 = superelliptic_function(C_super, x^2)
f2 = superelliptic_function(C_super, x^3)
AS = as_cover(C_super, [f1, f2], prec=500)
m = AS.jumps[0]
m1 = m[0]
m2 = m[1]
#We compute jumps from jumps in the tower of two Z/p-covers.
if m1 >= m2:
M1 = m2
M2 = m2 + p*(m1 - m2)
else:
M1 = m1
M2 = m2
theoretical_jumps = [M1, M2]
theoretical_jumps.sort()
print(theoretical_jumps == AS.ramification_jumps())