AlgFactor UP

algfact.spad line 131 [edit on github]

• UP: UnivariatePolynomialCategory AlgebraicNumber

Factorization of univariate polynomials with coefficients in AlgebraicNumber.

doublyTransitive?: UP -> Boolean

doublyTransitive?(p) is true if p is irreducible over over the field K generated by its coefficients, and if p(X) / (X - a) is irreducible over K(a) where p(a) = 0.

factor: (UP, List AlgebraicNumber) -> Factored UP

factor(p, [a1, ..., an]) returns a prime factorisation of p over the field generated by its coefficients and a1, …, an.

factor: UP -> Factored UP

factor(p) returns a prime factorisation of p over the field generated by its coefficients.

split: UP -> Factored UP

split(p) returns a prime factorisation of p over its splitting field.