#13053: wrong sign in square-free decomposition of polynomials over ZZ
-----------------------------+----------------------------------------------
   Reporter:  saraedum       |             Owner:  tbd                
       Type:  defect         |            Status:  new                
   Priority:  major          |         Milestone:  sage-5.1           
  Component:  factorization  |          Keywords:  sd40.5 FLINT NTL ZZ
Work issues:                 |   Report Upstream:  N/A                
  Reviewers:                 |           Authors:                     
  Merged in:                 |      Dependencies:                     
   Stopgaps:                 |  
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 The NTL wrapper for {{{SquareFreeDecomp}}} gets the sign wrong for some
 FLINT polynomials:

 {{{
 sage: R.<x> = PolynomialRing(ZZ, implementation='FLINT')
 sage: f=-x^2
 sage: f.squarefree_decomposition()
 (-x)^2
 }}}

 It works correctly for NTL:

 {{{
 sage: R.<x> = PolynomialRing(ZZ, implementation='NTL')
 sage: f=-x^2
 sage: f.squarefree_decomposition()
 (-1) * x^2
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13053>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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