#19365: Bug in lattice_polytope.positive_integer_relations
----------------------------+-------------------------
       Reporter:  tmonteil  |        Owner:
           Type:  defect    |       Status:  new
       Priority:  major     |    Milestone:  sage-6.10
      Component:  geometry  |   Resolution:
       Keywords:            |    Merged in:
        Authors:            |    Reviewers:
Report Upstream:  N/A       |  Work issues:
         Branch:            |       Commit:
   Dependencies:            |     Stopgaps:
----------------------------+-------------------------
Changes (by vdelecroix):

 * cc: vdelecroix (added)
 * milestone:  sage-6.9 => sage-6.10


Old description:

> Reported on [http://ask.sagemath.org/question/29797/non-negative-integer-
> relations-on-vertices/ this ask question]:
>
> {{{
> sage: vertices =
> [(1,1,-1,-1,-1),(-1,-1,1,1,-1),(1,-1,-1,-1,1),(-1,1,1,1,1),(1,-1,1,-1,-1)]
> sage: p = LatticePolytope(vertices)
> sage:
> lattice_polytope.positive_integer_relations(p.vertices().column_matrix()
> TypeError: unable to make sense of Maxima expression
> '"Problemnotfeasible!"' in Sage
> }}}
>
> Note that there is a non-negative nontrivial integer relation:
>
> {{{
> sage: p.vertices().column_matrix().right_kernel()
> Free module of degree 5 and rank 1 over Integer Ring
> Echelon basis matrix:
> [1 1 1 1 0]
> }}}

New description:

 Reported on [http://ask.sagemath.org/question/29797/non-negative-integer-
 relations-on-vertices/ this ask question]:

 {{{
 sage: vertices =
 [(1,1,-1,-1,-1),(-1,-1,1,1,-1),(1,-1,-1,-1,1),(-1,1,1,1,1),(1,-1,1,-1,-1)]
 sage: p = LatticePolytope(vertices)
 sage:
 lattice_polytope.positive_integer_relations(p.vertices().column_matrix())
 TypeError: unable to make sense of Maxima expression
 '"Problemnotfeasible!"' in Sage
 }}}

 Note that there is a non-negative nontrivial integer relation:

 {{{
 sage: p.vertices().column_matrix().right_kernel()
 Free module of degree 5 and rank 1 over Integer Ring
 Echelon basis matrix:
 [1 1 1 1 0]
 }}}

--

Comment:

 ... changed a missing `)` in the description...

--
Ticket URL: <http://trac.sagemath.org/ticket/19365#comment:2>
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