20 lines
434 B
Python
20 lines
434 B
Python
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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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n = AS.height
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d_test = (p^n - 1)
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Gi = AS.group
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i = 1
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while(len(Gi) > 1):
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Gi = AS.ith_ramification_gp(i)
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d_test += len(Gi) - 1
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i+=1
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print(d_test == AS.exponent_of_different())
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