/usr/share/axiom-20170501/src/algebra/SAEFACT.spad is in axiom-source 20170501-3.
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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 | )abbrev package SAEFACT SimpleAlgebraicExtensionAlgFactor
++ Author: Patrizia Gianni
++ Description:
++ Factorization of univariate polynomials with coefficients in an
++ algebraic extension of the rational numbers (\spadtype{Fraction Integer}).
SimpleAlgebraicExtensionAlgFactor(UP,SAE,UPA) : SIG == CODE where
UP : UnivariatePolynomialCategory Fraction Integer
SAE : Join(Field, CharacteristicZero,
MonogenicAlgebra(Fraction Integer, UP))
UPA: UnivariatePolynomialCategory SAE
SIG ==> with
factor : UPA -> Factored UPA
++ factor(p) returns a prime factorisation of p.
CODE ==> add
factor q ==
factor(q, factor$RationalFactorize(UP)
)$InnerAlgFactor(Fraction Integer, UP, SAE, UPA)
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