#14146: Warn when creating number fields with non-monic-integral polynomials
---------------------------------+------------------------------------------
       Reporter:  Bouillaguet    |         Owner:  davidloeffler
           Type:  enhancement    |        Status:  needs_work   
       Priority:  minor          |     Milestone:  sage-5.8     
      Component:  number fields  |    Resolution:               
       Keywords:  pari           |   Work issues:               
Report Upstream:  N/A            |     Reviewers:               
        Authors:                 |     Merged in:               
   Dependencies:                 |      Stopgaps:               
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Changes (by jdemeyer):

  * status:  positive_review => needs_work
  * priority:  major => minor
  * milestone:  sage-duplicate/invalid/wontfix => sage-5.8
  * type:  defect => enhancement


Old description:

> These bugs have been reported by Adrien Poteaux.
>
> Incriminated snippet :
> {{{
> sage: K.<a>=QQ.extension(x^2 - 2)
> sage: L.<b>=K.extension(3*x^2 + 1)
> sage: b     # boom
> -----------------------------
> Traceback (most recent call last)
> ...
> PariError:  (7)
> }}}
>
> And an interesting variation:
> {{{
> sage: K.<a>=QQ.extension(x^2 - 2)
> sage: L.<b>=K.extension(x^2 + 1/3)
> sage: b     # boom
> -----------------------------
> Traceback (most recent call last)
> ...
> PariError: incorrect type (11)
> }}}
>
> The problem seems to actually stem from:
> {{{
> sage: L.pari_rnf()   # boom
> }}}

New description:

 Add warnings for the problem at #252.

--

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14146#comment:5>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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