#16606: Symmetric function computations in Witt basis leak into quotient field
-------------------------------------+-------------------------------------
   Reporter:  darij                  |            Owner:
       Type:  defect                 |           Status:  new
   Priority:  major                  |        Milestone:  sage-6.3
  Component:  combinatorics          |         Keywords:  symmetric
  Merged in:                         |  functions, sage-combinat
  Reviewers:                         |          Authors:  Darij Grinberg
Work issues:                         |  Report Upstream:  N/A
     Commit:                         |           Branch:  public/combinat
  328bd2e4682434c2fcd157c1317c5635828270f5|  /witt-sf-fix
   Stopgaps:                         |     Dependencies:
-------------------------------------+-------------------------------------
 {{{
 Sym = SymmetricFunctions(ZZ)
 w = Sym.w()
 w[4].coproduct()
 }}}
 This would fail because {{{w[4]}}} would be transformed into the h-basis,
 which would make some of its coefficients into rationals even though they
 should be integers.

 The cause is the fact that inverting an integer matrix can turn its
 entries into rationals even if the matrix is invertible over ZZ. I have
 fixed this in a way I believe to be suboptimal, but this is all I have
 time for...

--
Ticket URL: <http://trac.sagemath.org/ticket/16606>
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