#20003: Incorrect output of squarefree_decomposition for polynomials over finite
fields
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Reporter: lackermans | Owner:
Type: defect | Status: new
Priority: major | Milestone: sage-7.1
Component: factorization | Resolution:
Keywords: | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Description changed by lackermans:
Old description:
> When using squarefree_decomposition on linear polynomials over a finite
> field, an incorrect unit part is returned.
>
> {{{
> sage: K.<x> = GF(7)[]
> sage: (6*x+3).squarefree_decomposition()
> (6) * (6*x + 3)
> sage: (6*x+3).squarefree_decomposition().expand()
> x + 4
> sage: K.<x> = GF(5)[]
> sage: (2*x).squarefree_decomposition()
> (2) * 2*x
> }}}
New description:
When using squarefree_decomposition on linear polynomials over a finite
field, the coefficients are not divided by the unit part, resulting in an
incorrect output.
{{{
sage: K.<x> = GF(7)[]
sage: (6*x+3).squarefree_decomposition()
(6) * (6*x + 3)
sage: (6*x+3).squarefree_decomposition().expand()
x + 4
sage: K.<x> = GF(5)[]
sage: (2*x).squarefree_decomposition()
(2) * 2*x
}}}
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Ticket URL: <http://trac.sagemath.org/ticket/20003#comment:1>
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