#9390: is_galois_relative() not always right
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   Reporter:  arminstraub     |       Owner:  davidloeffler   
       Type:  defect          |      Status:  needs_review    
   Priority:  major           |   Milestone:  sage-4.6.1      
  Component:  number fields   |    Keywords:  galois extension
     Author:  Francis Clarke  |    Upstream:  N/A             
   Reviewer:  Marco Streng    |      Merged:                  
Work_issues:                  |  
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Comment(by mstreng):

 Replying to [comment:7 fwclarke]:
 > I can't reproduce this.  Actually `is_galois` is not particularly
 ubiquitous (and certainly does figure in `gal_reps.py`):

 How could you be so sure about that? The timeout is caused by the long
 test
 {{{EllipticCurve([1,-1,0,-107,-379]).galois_representation().image_type(7)}}}
 The image_type() part runs forever on 4.6.1.alpha2 with your second patch,
 and is quite fast without any patches. That method is a long piece of
 code, so I didn't read it all, but it does suggest that it uses is_galois
 somewhere via another function.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9390#comment:8>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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