#8558: Make gcd use pari for univariate polynomial rings over number fields
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   Reporter:  lftabera     |       Owner:  AlexGhitza             
       Type:  enhancement  |      Status:  new                    
   Priority:  minor        |   Milestone:  sage-4.3.4             
  Component:  algebra      |    Keywords:  gcd, pari, number field
     Author:               |    Upstream:  N/A                    
   Reviewer:               |      Merged:                         
Work_issues:               |  
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 Question arised here,

 http://groups.google.com/group/sage-
 devel/browse_thread/thread/0f5b029970e1a4e2/fcec7d0e35474fbd#fcec7d0e35474fbd

 univariate gcd is performed using euclidean algorithm, which causes
 explosion of coefficients and is slow but for trivial examples. Instead we
 should use pari that performs better.

 1.- Add a _pari_ function for absolute number fields taht work[[BR]]
 2.- Add gcd using pari for absolute number fields[[BR]]
 3.- For relative number fields, pass to an absolute representation. This
 may be slow. But for the cases where this is slow the current
 implementation may be unfeasible.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8558>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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