#13413: fix integer overflow (?) in conversion of powersums to Schur functions
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       Reporter:  saliola              |        Owner:  sage-combinat
           Type:  defect               |       Status:  new
       Priority:  major                |    Milestone:  sage-5.13
      Component:  combinatorics        |   Resolution:
       Keywords:  symmetric functions  |    Merged in:
        Authors:                       |    Reviewers:
Report Upstream:  N/A                  |  Work issues:
         Branch:                       |       Commit:
   Dependencies:                       |     Stopgaps:
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Comment (by zabrocki):

 There is a function `test_integer` in the symmetrica package.  It passes
 on some integers, but not all!

 {{{
 sage: from sage.libs.symmetrica.symmetrica import test_integer
 sage: s = SymmetricFunctions(QQ).s()
 sage: p = SymmetricFunctions(QQ).p()
 sage: g = s(p([1]*35))
 sage: all( test_integer(c)==c for c in g.coefficients())
 True
 sage: g = s(p([1]*36))
 sage: all( test_integer(c)==c for c in g.coefficients())
 False
 sage: c=StandardTableaux([10,9,8,7,6,5,4,3,2,1]).cardinality()
 sage: test_integer(c)==c
 False
 }}}

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Ticket URL: <http://trac.sagemath.org/ticket/13413#comment:8>
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