#14146: Impossible to print elements of some relative number fields
---------------------------------+------------------------------------------
       Reporter:  Bouillaguet    |         Owner:  davidloeffler
           Type:  defect         |        Status:  new          
       Priority:  major          |     Milestone:  sage-5.8     
      Component:  number fields  |    Resolution:               
       Keywords:  pari           |   Work issues:               
Report Upstream:  N/A            |     Reviewers:               
        Authors:                 |     Merged in:               
   Dependencies:                 |      Stopgaps:               
---------------------------------+------------------------------------------
Description changed by Bouillaguet:

Old description:

> These bugs have been reported by Adrien Poteaux.
>
> Incriminated snippet :
> {{{
> sage: K.<a>=QQ[sqrt(2)]
> sage: Lb.<b>=K[]
> sage: f = 3*b^2 + 1
> sage: Kb.<xi>= f.root_field()
> sage: xi     # boom
> -----------------------------
> Traceback (most recent call last)
> ...
> PariError:  (7)
> }}}
>
> And an interesting variation:
> {{{
> sage: Kb.<xi>=(f/3).root_field()
> sage: xi     # boom
> -----------------------------
> Traceback (most recent call last)
> ...
> PariError: incorrect type (11)
> }}}

New 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
 }}}

--

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14146#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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