#7616: fix bug in trivial number field extensions
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   Reporter:  rlm            |       Owner:  rlm                              
       Type:  defect         |      Status:  needs_work                       
   Priority:  major          |   Milestone:  sage-4.3.1                       
  Component:  number fields  |    Keywords:                                   
Work_issues:                 |      Author:  Robert Miller and Robert Bradshaw
   Upstream:  N/A            |    Reviewer:                                   
     Merged:                 |  
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Changes (by craigcitro):

  * status:  needs_review => needs_work


Comment:

 There's a long email thread about this between the Roberts and I, but I
 realized I should at least make a note here to keep other people up to
 date (in particular, I think John C is itching to see this in!) We're
 getting closer and closer, but unfortunately the current patch isn't it.
 (I think we can make Robert's previous patch work, but I won't have a
 chance to get to it until tonight.) Here's an example that blows up:

 {{{
 sage: K.<a> = NumberField(x^5+2) ; R.<y> = K[] ; L.<x0> = K.extension(y +
 a**2)
 sage: L(a)
 ... RuntimeError ...
 }}}

 I'm going to have some time to work tonight (barring my daughter not
 sleeping), and I think we can finish this off then. The problem is that
 each case where this works also produces other weird bugs/issues ... in
 any event, ETA is soon for a working patch.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7616#comment:6>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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