23 lines
682 B
Python
23 lines
682 B
Python
p = 3
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m = 1
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F = GF(p)
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Rx.<x> = PolynomialRing(F)
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f = x
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C_super = superelliptic(f, m)
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Rxy.<x, y> = PolynomialRing(F, 2)
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f1 = superelliptic_function(C_super, x^7)
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f2 = superelliptic_function(C_super, x^4)
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AS = as_cover(C_super, [f1, f2], prec=1000)
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AS1 = as_cover(C_super, [f1], prec=1000)
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#print(AS.ramification_jumps())
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#print(pole_numbers(AS))
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RxyzQ, Rxyz, x, y, z = AS.fct_field
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zmag = (AS.magical_element())[0]
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zvee = dual_elt(AS, zmag)
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t = AS.uniformizer()
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omega1 = AS1.holomorphic_differentials_basis()[4]
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omega2 = as_form(AS, t.function*RxyzQ(omega1.form))
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for g in AS.group:
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print(ith_magical_component(omega2, zvee, g).expansion_at_infty().valuation(), AS.jumps[0][1]) |