10 lines
398 B
Python
10 lines
398 B
Python
p = 3
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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
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C = superelliptic(f, m)
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print(auxilliary_derivative((C.x^3 - C.x).teichmuller()))
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print('Result should be: [2] d[x] + V((x^8) dx) + dV([2*x^7 + x^5])')
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print(2*(C.y).teichmuller() * (C.y).teichmuller().diffn() == (C.x^3 - C.x).teichmuller().diffn())
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print(C.y.teichmuller().diffn().frobenius() == (C.y)^2 * C.y.diffn()) #F(d[y]) = y^2*dy |