#11890: Sage cannot factor polynomials over number fields with unfactorable
discriminant
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   Reporter:  jdemeyer       |          Owner:  davidloeffler               
       Type:  enhancement    |         Status:  needs_review                
   Priority:  major          |      Milestone:  sage-4.7.3                  
  Component:  number fields  |       Keywords:  nffactor PARI nfinit pari_nf
Work_issues:                 |       Upstream:  N/A                         
   Reviewer:                 |         Author:  Jeroen Demeyer              
     Merged:                 |   Dependencies:  #11891, #11130              
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Comment(by lftabera):

 Jeroen,

 This ticket is a duplicate of #10910

 In that ticket I presented another approach. I still use nffactor but do
 not use nfinit UNLESS nfinit has already been computed and cached. A
 couple of comments regarding both approaches:

  - Now we do not need nfinit for nffactor. So we can use either nffactor
 or factornf at will.
  - In most cases nffactor will be faster than factornf (I should give
 numbers to sustain that though).
  - My patch also work for non-integral generators.
  - But my patch fails in your example with a PariError exception:
 precision too low.

 I have to investigate this error. It might be a Pari bug or there are
 instances where we really need factornf.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11890#comment:5>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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