2022-11-18 15:00:34 +01:00
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p = 7
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m = 2
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F = GF(p)
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Rx.<x> = PolynomialRing(F)
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f = x^3 + 1
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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*y)
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f2 = superelliptic_function(C_super, x^3)
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AS = as_cover(C_super, [f1, f2], prec=1000)
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2022-12-22 14:44:57 +01:00
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A, B = group_action_matrices_holo(AS)
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2022-11-18 15:00:34 +01:00
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n = A.dimensions()[0]
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print(A*B == B*A)
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print(A^p == identity_matrix(n))
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print(B^p == identity_matrix(n))
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