#11829: multivariate factorization over finite fields
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   Reporter:  zimmerma       |          Owner:  tbd            
       Type:  defect         |         Status:  needs_info     
   Priority:  major          |      Milestone:  sage-4.7.2     
  Component:  factorization  |       Keywords:                 
Work_issues:                 |       Upstream:  N/A            
   Reviewer:                 |         Author:  Martin Albrecht
     Merged:                 |   Dependencies:                 
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Changes (by malb):

  * status:  needs_review => needs_info


Comment:

 Hi Paul,

 a multivariate polynomial ring over GF(next_prime(2^29^)) uses
 libSingular, i.e., Singular via a Cython interface; while a multivariate
 polynomial ring over GF(previous_prime(2^31^)) uses the generic polynomial
 implementation in Sage. We followed the Singular manual for the maximum
 prime allowed (which is 2147483629 < previous_prime(2^31^)), while we
 apparently don't follow it when converting generic polynomials to Singular
 via the pexpect interface.

 I think this is actually a bug and the Singular developers meant
 previous_prime(2^31^) when they chose a limit.

 I asked: http://groups.google.com/group/libsingular-
 devel/browse_thread/thread/885b21e6f8039cc

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11829#comment:5>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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