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)
zmag = (AS.magical_element())[0]

om = AS.holomorphic_differentials_basis()[4]
print(combination_components(om, zmag, zmag).form == om.form)