#10910: Avoid nfinit while factoring polynomials
-----------------------------+----------------------------------------------
   Reporter:  lftabera       |          Owner:  tbd                             
         
       Type:  enhancement    |         Status:  needs_work                      
         
   Priority:  major          |      Milestone:  sage-4.7.1                      
         
  Component:  factorization  |       Keywords:  factorization, pari, nfinit, 
number field
Work_issues:                 |       Upstream:  N/A                             
         
   Reviewer:                 |         Author:  Luis Felipe Tabera Alonso       
         
     Merged:                 |   Dependencies:                                  
         
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Comment(by lftabera):

 Just for the record, my patch introduces the following problem, so I need
 to add a doctest to it since it is an unapparent side effect.

 {{{
 sage: N = NumberField(x^3-2*x+3,'a')
 sage: f = N[x](x^2-41943301)
 sage: M = N.extension(f,'b')
 sage: M.hom([M.gen()])
 ...
 ValueError: no way to map base field to codomain.
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10910#comment:5>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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