#10486: Conversion List -> PARI finite field extension element disregards
characteristic
--------------------------------+-------------------------------------------
   Reporter:  jdemeyer          |       Owner:  AlexGhitza       
       Type:  defect            |      Status:  new              
   Priority:  major             |   Milestone:  sage-4.6.2       
  Component:  basic arithmetic  |    Keywords:  finite field pari
     Author:                    |    Upstream:  N/A              
   Reviewer:                    |      Merged:                   
Work_issues:                    |  
--------------------------------+-------------------------------------------
 Reported by Yannick Neyt in personal communication:

 {{{
 sage: k.<a>=GF(3^11)
 sage: x = k([1,0,1,1]); x
 a^3 + a^2 + 1
 sage: x+x+x
 3*a^3 + 3*a^2
 }}}

 Clearly, we should get zero in the last line, since the characteristic is
 3.  The problem is visible in the PARI representation:
 {{{
 sage: pari(x)
 Mod(a^3 + a^2 + Mod(1, 3), Mod(1, 3)*a^11 + Mod(2, 3)*a^2 + Mod(1, 3))
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10486>
Sage <http://www.sagemath.org>
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