#9343: upgrade pari to version 2.4.3
---------------------------+------------------------------------------------
   Reporter:  was          |       Owner:  tbd     
       Type:  enhancement  |      Status:  new     
   Priority:  major        |   Milestone:  sage-4.5
  Component:  packages     |    Keywords:          
     Author:               |    Upstream:  N/A     
   Reviewer:               |      Merged:          
Work_issues:               |  
---------------------------+------------------------------------------------

Comment(by was):

 Polynomial factorization over number fields is broken:
 {{{
 ?  nffactor(nfinit(y^2-5), x^5 - x^4 - 7*x^3 + x^2 + 7*x - 3)
 %6 =
 [x - 3 1]

 [x + Mod(-1/2*y + 1/2, y^2 - 5) 4]

 [x + Mod(1/2*y + 1/2, y^2 - 5) 0]

 ? factor
 factor        factorcantor  factorial     factormod     factorpadic
 factorback    factorff      factorint     factornf
 ? factornf(x^5 - x^4 - 7*x^3 + x^2 + 7*x - 3, y^2-5)
 %7 =
 [x - 3 1]

 [x + Mod(-1/2*y + 1/2, y^2 - 5) 0]

 [x + Mod(1/2*y + 1/2, y^2 - 5) 4]

 }}}

 Here's what used to happen:
 {{{
 ? nffactor(nfinit(y^2-5), x^5 - x^4 - 7*x^3 + x^2 + 7*x - 3)
 %7 =
 [x - 3 1]
 [x + Mod(-1/2*y + 1/2, y^2 - 5) 2]
 [x + Mod(1/2*y + 1/2, y^2 - 5) 2]
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9343#comment:13>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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