25 lines
624 B
Python
25 lines
624 B
Python
p = 5
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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 - x)^3 + x^3 - x
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f = x^3 + x
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f1 = f(x = x^5 - x)
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C = superelliptic(f, m)
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C1 = superelliptic(f1, m)
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B = C.crystalline_cohomology_basis(prec = 100, info = 1)
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B1 = C1.crystalline_cohomology_basis(prec = 500, info = 1)
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def crystalline_matrix(C, prec = 50):
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B = C.crystalline_cohomology_basis(prec = prec)
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g = C.genus()
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p = C.characteristic
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Zp2 = Integers(p^2)
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M = matrix(Zp2, 2*g, 2*g)
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for i, b in enumerate(B):
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M[i, :] = vector(autom(b).coordinates(basis = B))
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return M
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#M = crystalline_matrix(C, prec = 150)
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#print(M)
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#print(M^3) |