25 lines
531 B
Python
25 lines
531 B
Python
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p = 5
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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^2)
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f2 = superelliptic_function(C_super, x^3)
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AS = as_cover(C_super, [f1, f2], prec=500)
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m = AS.jumps[0]
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m1 = m[0]
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m2 = m[1]
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#We compute jumps from jumps in the tower of two Z/p-covers.
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if m1 >= m2:
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M1 = m2
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M2 = m2 + p*(m1 - m2)
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else:
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M1 = m1
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M2 = m2
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theoretical_jumps = [M1, M2]
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theoretical_jumps.sort()
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print(theoretical_jumps == AS.ramification_jumps())
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