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 KASH3 Reference Manual
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Function

RootsInSplittingField ( elt-alg^pol f ) -> seq(), fld^fin

Optional Arguments

Resultselt-ord^rat1 <= Results <= 2
Optimizeelt-alg^boo
Defaultelt-alg^boo
Sparseelt-alg^boo

Description

Given a univariate polynomial f over a finite field K, compute the splitting field S of f as an extension field of K, and return the roots of f in S as a sequence of tuples, together with S.

Examples

x_P := PolynomialAlgebra(FiniteField(5)); x_p := x_P.1^2 - 3; RootsInSplittingField(x_p);
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