#7616: fix bug in trivial number field extensions
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   Reporter:  rlm            |       Owner:  rlm                              
       Type:  defect         |      Status:  needs_review                     
   Priority:  major          |   Milestone:  sage-4.3                         
  Component:  number fields  |    Keywords:                                   
Work_issues:                 |      Author:  Robert Miller and Robert Bradshaw
   Upstream:  N/A            |    Reviewer:                                   
     Merged:                 |  
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Comment(by craigcitro):

 Aha, I misunderstood. This isn't going to change `K.extension(y)` -- it's
 going to change `K.extension(y).gens()`, which is currently wrong. In
 particular, if you look at the comments on #2767 (where this bug was
 actually introduced), I was assuming that the polynomial generating the
 relative extension was of the form `x-a`, where `a` was any '''nonzero'''
 value. As the example in the patch points out, `a` might be 0. `:)`

 I need to finish reading the Pari docs, but it looks like this extra entry
 in the Pari RNF is exactly what we want. Review coming shortly.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7616#comment:4>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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