#20435: factorisation of polynomials over integers has wrong parent
------------------------+----------------------------
   Reporter:  chapoton  |            Owner:
       Type:  defect    |           Status:  new
   Priority:  major     |        Milestone:  sage-7.2
  Component:  algebra   |         Keywords:
  Merged in:            |          Authors:
  Reviewers:            |  Report Upstream:  N/A
Work issues:            |           Branch:
     Commit:            |     Dependencies:
   Stopgaps:            |
------------------------+----------------------------
 {{{
 sage: x,y=polygen(ZZ,'x,y')
 sage: p=x**2-y**2
 sage: p.parent()
 Multivariate Polynomial Ring in x, y over Integer Ring
 sage: factor(p)
 (x - y) * (x + y)
 sage: factor(p)[0][0].parent()
 Multivariate Polynomial Ring in x, y over Multivariate Polynomial Ring in
 x, y over Integer Ring
 }}}

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Ticket URL: <http://trac.sagemath.org/ticket/20435>
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