15 lines
400 B
Python
15 lines
400 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^2 + 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)
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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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RxyzQ, Rxyz, x, y, z = AS.fct_field
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f_z = as_function(AS, z[0]*z[1]*y)
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df_z = f_z.diffn()
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print(df_z.form == -z[0]*z[1]*x + y*z[1]*x - y*z[0]*x^3)
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