#9595: Conversion from constant PARI polynomials to QQ doesn't work
------------------------------+---------------------------------------------
   Reporter:  jdemeyer        |       Owner:  robertwb  
       Type:  defect          |      Status:  new       
   Priority:  major           |   Milestone:  sage-4.5.2
  Component:  coercion        |    Keywords:            
     Author:  Jeroen Demeyer  |    Upstream:  N/A       
   Reviewer:                  |      Merged:            
Work_issues:                  |  
------------------------------+---------------------------------------------
 We create a constant PARI polynomial with value 1/2 and coerce it to QQ:
 {{{
 sage: constpol = pari('Pol([1/2])')
 sage: QQ(constpol)
 ---------------------------------------------------------------------------
 TypeError                                 Traceback (most recent call
 last)

 /usr/local/src/sage-4.5.2.alpha0/<ipython console> in <module>()

 /usr/local/src/sage-4.5.2.alpha0/local/lib/python2.6/site-
 packages/sage/structure/parent.so in sage.structure.parent.Parent.__call__
 (sage/structure/parent.c:6407)()

 /usr/local/src/sage-4.5.2.alpha0/local/lib/python2.6/site-
 packages/sage/structure/coerce_maps.so in
 sage.structure.coerce_maps.DefaultConvertMap_unique._call_
 (sage/structure/coerce_maps.c:3108)()

 /usr/local/src/sage-4.5.2.alpha0/local/lib/python2.6/site-
 packages/sage/structure/coerce_maps.so in
 sage.structure.coerce_maps.DefaultConvertMap_unique._call_
 (sage/structure/coerce_maps.c:3010)()

 /usr/local/src/sage-4.5.2.alpha0/local/lib/python2.6/site-
 packages/sage/rings/rational.so in sage.rings.rational.Rational.__init__
 (sage/rings/rational.c:5781)()

 /usr/local/src/sage-4.5.2.alpha0/local/lib/python2.6/site-
 packages/sage/rings/rational.so in
 sage.rings.rational.Rational.__set_value (sage/rings/rational.c:6853)()

 /usr/local/src/sage-4.5.2.alpha0/local/lib/python2.6/site-
 packages/sage/rings/integer.so in sage.rings.integer.Integer.__init__
 (sage/rings/integer.c:6285)()

 TypeError: Unable to coerce PARI 1/2 to an Integer.
 }}}

 Note how the error message indicated conversion to Integer somehow.
 Indeed, {{{QQ(pari('Pol([1])'))}}} works

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9595>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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