#9390: is_galois_relative() not always right
------------------------------+---------------------------------------------
   Reporter:  arminstraub     |       Owner:  davidloeffler   
       Type:  defect          |      Status:  needs_work      
   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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Changes (by mstreng):

  * status:  needs_review => needs_work


Comment:

 Replying to [comment:10 mstreng]:
 > The only thing I could think of is that (somewhere in a function called
 by
 {{{EllipticCurve([1,-1,0,-107,-379]).galois_representation().image_type(7)}}})
 an Error of is_galois with degree > 11 is raised and handled in some way.
 With your patch, that computation will just go on and on.

 Same problem with a fresh install.

 Actually, something fishy happens in image_type(7). Without your patch, it
 outputs {{{'The image is a group of order 36.'}}} quickly. With your
 patch, it goes on and on, until I press Ctrl+C, in which case it catches
 my KeyboardInterrupt and outputs {{{'The image is a group of order 36.'}}}
 without showing me any Error! So image_type catches all errors, which is
 why it stops working with your improvement.

 Sorry, but that means this patch can't go in the way it is: either fix
 gal_reps or don't touch is_galois.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9390#comment:11>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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