#13054: Pernicious bug for algebraic numbers
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Reporter: rbeezer | Owner: davidloeffler
Type: defect | Status: new
Priority: major | Milestone: sage-5.7
Component: number fields | Resolution:
Keywords: sd40.5 | Work issues:
Report Upstream: N/A | Reviewers:
Authors: | Merged in:
Dependencies: | Stopgaps:
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Comment (by nbruin):
GP instructions illustrating the problem:
{{{
poly=x^4 - 4294967296*x^2 + 54265257667816538374400
L=polred(poly,3)
elt=Mod(L[4,1],poly)
minpoly(elt)
factor(L[4,2])
}}}
The documentation of polred promises that `L[4,2]` is a minimal
polynomial, so it should be square-free (and it's not ...)
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13054#comment:4>
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