#13054: Pernicious bug for algebraic numbers
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       Reporter:  rbeezer        |         Owner:  davidloeffler
           Type:  defect         |        Status:  new          
       Priority:  major          |     Milestone:  sage-5.7     
      Component:  number fields  |    Resolution:               
       Keywords:  sd40.5         |   Work issues:               
Report Upstream:  N/A            |     Reviewers:               
        Authors:                 |     Merged in:               
   Dependencies:                 |      Stopgaps:               
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Comment (by jdemeyer):

 Why is this a bug in PARI?  It seems to me that PARI behaves as
 documented.  The degree of the minimal polynomial is less than the degree
 of the field.

 What would you ''expect'' PARI to do in this case?
 {{{
 sage: R.<y> = QQ['y']
 sage: best_elt = (1/16*y^2 - 134217728)._pari_()
 sage: pari_poly = y^4 - 4294967296*y^2 + 54265257667816538374400
 sage: rev = parent(best_elt.Mod(pari_poly).modreverse().lift())
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13054#comment:3>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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