p = 3
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^7)
f2 = superelliptic_function(C_super, x^4)
AS = as_cover(C_super, [f1, f2], prec=1000)
AS1 = as_cover(C_super, [f1], prec=1000)
#print(AS.ramification_jumps())
#print(pole_numbers(AS))
RxyzQ, Rxyz, x, y, z = AS.fct_field
zmag = (AS.magical_element())[0]
zvee = dual_elt(AS, zmag)
t = AS.uniformizer()
omega1 = AS1.holomorphic_differentials_basis()[4]
omega2 = as_form(AS, t.function*RxyzQ(omega1.form))

for g in AS.group:
    print(ith_magical_component(omega2, zvee, g).expansion_at_infty().valuation(), AS.jumps[0][1])