#20491: WeightedIntegerVector returns vectors of rationals, not integers
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       Reporter:  cnassau           |        Owner:
           Type:  defect            |       Status:  new
       Priority:  major             |    Milestone:  sage-7.2
      Component:  combinatorics     |   Resolution:
       Keywords:  steenrod algebra  |    Merged in:
        Authors:                    |    Reviewers:
Report Upstream:  N/A               |  Work issues:
         Branch:                    |       Commit:
   Dependencies:                    |     Stopgaps:
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Changes (by jhpalmieri):

 * component:  algebraic topology => combinatorics


Old description:

> The following regression seems to be new in Sage7.2.beta5:
>
> {{{
> sage: A=SteenrodAlgebra(2)
> sage: for x in A.basis(d=1): print x,x*x
> TypeError                                 Traceback (most recent call
> last)
> ...
> TypeError: unsupported operand type(s) for &: 'int' and
> 'sage.rings.rational.Rational'
> }}}
>
> Source of the problem seems to be that `steenrod_algebra_basis` returns
> Rational as entries:
>
> {{{
> sage: ((x,),) = steenrod_algebra_basis(1)
> sage: print x,type(x)
> 1 <type 'sage.rings.rational.Rational'>
> }}}

New description:

 The following regression seems to be new in Sage7.2.beta5:
 {{{
 sage: for x in WeightedIntegerVectors(1, [1]): print type(x[0])
 <type 'sage.rings.rational.Rational'>
 }}}

--

Comment:

 I think this happens in `WeightedIntegerVectors`. I've changed the ticket
 description accordingly.

--
Ticket URL: <http://trac.sagemath.org/ticket/20491#comment:2>
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