#12117: Bugfixes and improvements to Aurifeuillian factorization
--------------------------------+-------------------------------------------
   Reporter:  roed              |          Owner:  AlexGhitza
       Type:  enhancement       |         Status:  new       
   Priority:  major             |      Milestone:  sage-4.8  
  Component:  basic arithmetic  |       Keywords:            
Work_issues:                    |       Upstream:  N/A       
   Reviewer:                    |         Author:  David Roe 
     Merged:                    |   Dependencies:  #12116    
--------------------------------+-------------------------------------------
 {{{
 sage: from sage.rings.factorint import factor_aurifeuillian as fa
 sage: fa(2^6006 + 1)
 [...]
 }}}

 This should produce a splitting, but instead it just returns a singleton.
 The problem is that there's rounding error because of the fixed precision
 of 300 in aurifeuillian.

 This patch also updates this factorization function to allow for a greater
 variety of bases.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12117>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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