#10902: missing terms in factorization of multivariate polynomials
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Reporter: zimmerma | Owner: malb
Type: defect | Status: new
Priority: critical | Milestone: sage-4.7.2
Component: commutative algebra | Keywords:
Work_issues: | Upstream: N/A
Reviewer: | Author:
Merged: | Dependencies:
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Comment(by zimmerma):
here is another example over GF(2):
{{{
sage: R.<x,y> = GF(2)[]
sage: p=x^8 + y^8; q=x^2*y^4 + x; f=p*q
sage: lf = f.factor(proof=False)
sage: f-lf
x^10*y^4 + x^2*y^12 + x^8*y^4 + x^6*y^6 + x^4*y^8 + x^2*y^10 + x^9 + x*y^8
+ x^7 + x^5*y^2 + x^3*y^4 + x*y^6
}}}
An example over GF(3):
{{{
sage: R.<x,y> = GF(3)[]
sage: p = -x*y^9 + x
sage: q = -x^8*y^2
sage: f = p*q
sage: f
x^9*y^11 - x^9*y^2
sage: f.factor(proof=False)
y^2 * (y - 1)^6 * x^6
}}}
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10902#comment:8>
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