Re: [GAP Forum] Understanding factorisation of polynomials using ALNUTH

2015-04-01 Thread Daniel Blazewicz
Od: "Dr. Kashyap Rajeevsarathy" Do: fo...@gap-system.org; Wysłane: 4:28 Środa 2015-04-01 Temat: [GAP Forum] Understanding factorisation of polynomials using ALNUTH (...) > Maybe it is too much to ask, but in general, can GAP display these real > roots as a list of radicals (fo

Re: [GAP Forum] Understanding factorisation of polynomials using ALNUTH

2015-04-01 Thread Bill Allombert
On Wed, Apr 01, 2015 at 07:44:55AM +0530, Dr. Kashyap Rajeevsarathy wrote: > Dear Forum, > *gap> pol := > UnivariatePolynomial(Rationals,[6,0,-5,0,1]);x_1^4-5*x_1^2+6gap> L := > SplittingField(pol); 4>gap> FactorsPolynomialAlgExt(L,pol); [ x_1+(-1/20*a^3+9/10*a), > x_1+(-1/40*a^3+19/20*a), x_1+(1/4

[GAP Forum] Understanding factorisation of polynomials using ALNUTH

2015-03-31 Thread Dr. Kashyap Rajeevsarathy
Dear Forum, I am trying to understand the factorisation of polynomials in ALNUTH. Consider the following example: *gap> pol := UnivariatePolynomial(Rationals,[6,0,-5,0,1]);x_1^4-5*x_1^2+6gap> L := SplittingField(pol);gap> FactorsPolynomialAlgExt(L,pol); [ x_1+(-1/20*a^3+9/10*a), x_1+(-1/40*a