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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | --Copyright The Numerical Algorithms Group Limited 1991.
)cl all
P0 := UP(x, INT)
P1 := UP(y, FRAC P0)
-- curve given by x^20 + y^20 = 1
R := RADFF(INT, P0, P1, 1 - x**20, 20)
definingPolynomial()$R
genus()$R
rank()$R
numberOfComponents()$R
integralBasisAtInfinity()$R
branchPoint?(0)$R
branchPoint?(1)$R
y := generator()$R
norm y
trace y
-- curve given by y^4 = 2 x^2
R2 := RADFF(INT, P0, P1, 2 * x**2, 4)
definingPolynomial()$R2
rank()$R2
absolutelyIrreducible?()$R2
numberOfComponents()$R2
genus()$R2
integralBasis()$R2
y := generator()$R2
integralCoordinates(y**3)
integralRepresents(%.num, %.den)$R2
norm y
trace y
regularRepresentation y
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