#8007: Speed up generation of random number field elements
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   Reporter:  craigcitro     |       Owner:  davidloeffler
       Type:  defect         |      Status:  new          
   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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 In the process of looking at #3436, I noticed that generation of random
 number field elements was slow. I was hoping that speeding it up would
 make it fast enough that we could use a "generic" algorithm for generating
 matrices over cyclotomic fields. I did get a '''100-150X''' speedup for
 generating random elements of number fields, but amazingly, this
 '''still''' wasn't quite fast enough to beat the more "quick and dirty"
 approaches for cyclotomic matrices. However, I think this code is probably
 still worth merging.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8007>
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