#9053: Sage's new generic HNF doesn't quite work right wrt the free modules code
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Reporter: was | Owner: jason, was
Type: defect | Status: positive_review
Priority: major | Milestone: sage-4.7
Component: linear algebra | Keywords:
Author: Moritz Minzlaff | Upstream: N/A
Reviewer: Keshav Kini | Merged:
Work_issues: |
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Old description:
> The last output below should obviously be True, but it is False.
>
> {{{
> sage: R.<x> = GF(7)[]
> sage: A = R^3
> sage: L = A.span([x*A.0 + (x^3 + 1)*A.1, x*A.2]); L
> Free module of degree 3 and rank 2 over Univariate Polynomial Ring in x
> over Finite Field of size 7
> Echelon basis matrix:
> [ x x^3 + 1 0]
> [ 0 0 x]
> sage: M = A.span([x*L.0]); M
> Free module of degree 3 and rank 1 over Univariate Polynomial Ring in x
> over Finite Field of size 7
> Echelon basis matrix:
> [ x^2 x^4 + x 0]
> sage: M.0 in L
> False
> }}}
New description:
The last output below should obviously be True, but it is False.
{{{
sage: R.<x> = GF(7)[]
sage: A = R^3
sage: L = A.span([x*A.0 + (x^3 + 1)*A.1, x*A.2]); L
Free module of degree 3 and rank 2 over Univariate Polynomial Ring in x
over Finite Field of size 7
Echelon basis matrix:
[ x x^3 + 1 0]
[ 0 0 x]
sage: M = A.span([x*L.0]); M
Free module of degree 3 and rank 1 over Univariate Polynomial Ring in x
over Finite Field of size 7
Echelon basis matrix:
[ x^2 x^4 + x 0]
sage: M.0 in L
False
}}}
Apply trac_9053_fixes_pivots.v2.patch
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Comment(by kini):
(for patchbot...)
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9053#comment:5>
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