#12270: pointless computations when converting number field elements
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   Reporter:  mstreng        |          Owner:  davidloeffler
       Type:  enhancement    |         Status:  new          
   Priority:  major          |      Milestone:  sage-5.0     
  Component:  number fields  |       Keywords:               
Work_issues:                 |       Upstream:  N/A          
   Reviewer:                 |         Author:               
     Merged:                 |   Dependencies:               
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Comment(by mstreng):

 Replying to [comment:1 jdemeyer]:
 > I'm a but confused.  Exactly where and when are roots unneccessarily
 computed?

 In {{{/sage/rings/number_field/number_field.py}}} (as per #11869) the
 parts

  * "# List of candidates for K(x)" and
  * "# Find a common field F into which KF and LF both embed."

 are independent. The first can be very slow, while the second is likely to
 fail. So I propose to swap these two parts.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12270#comment:2>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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