#8007: Speed up generation of random number field elements
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   Reporter:  craigcitro     |       Owner:  davidloeffler
       Type:  defect         |      Status:  needs_review 
   Priority:  major          |   Milestone:  sage-4.3.2   
  Component:  number fields  |    Keywords:               
     Author:  Craig Citro    |    Upstream:  N/A          
   Reviewer:                 |      Merged:               
Work_issues:                 |  
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Changes (by craigcitro):

  * status:  new => needs_review


Comment:

 I should comment that it's actually not too hard to understand why this
 still isn't fast enough to beat the code on #3436. A large part of the
 problem is that we still represent elements of number fields by NTL
 polynomials -- the lion's share of the difference comes down to the fact
 that we end up doing several copies of data back and forth between NTL
 `ZZX` objects and GMP/MPIR `mpz_t` and `mpq_t` objects, which adds up
 fast.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8007#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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