#11368: can't coerce pari to rational function field
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   Reporter:  katestange  |          Owner:  robertwb                           
         
       Type:  defect      |         Status:  new                                
         
   Priority:  minor       |      Milestone:  sage-4.7.1                         
         
  Component:  coercion    |       Keywords:  coercion pari rational 
fraction_field string
Work_issues:              |       Upstream:  N/A                                
         
   Reviewer:              |         Author:                                     
         
     Merged:              |   Dependencies:                                     
         
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Changes (by katestange):

  * keywords:  coercion pari rational fraction_field => coercion pari
               rational fraction_field string


Old description:

> The following fails
> {{{
> sage: R.<x,y> = PolynomialRing(QQ)
> sage: S = R.fraction_field()
> sage: S(pari((x+y)/y))
> TypeError: no canonical coercion from Fraction Field of Multivariate
> Polynomial Ring in x, y over Rational Field to Rational Field
> }}}
> However, if you replace (x+y)/y with x+y, it works (in other words,
> polynomials work but rational functions don't).

New description:

 The following fails
 {{{
 sage: R.<x,y> = PolynomialRing(QQ)
 sage: S = R.fraction_field()
 sage: S(pari((x+y)/y))
 TypeError: no canonical coercion from Fraction Field of Multivariate
 Polynomial Ring in x, y over Rational Field to Rational Field
 }}}
 However, if you replace (x+y)/y with x+y, it works (in other words,
 polynomials work but rational functions don't).

 I think it is probably related that the following fails: (with R and S as
 above)
 {{{
 S('(x+y)/y')
 }}}
 with the same error.  Again, polynomial coercion like
 {{{
 S('x+y')
 }}}
 succeeds.  (If someone finds that this is a different problem, please put
 in a separate ticket, but I'm guessing it's related.)

--

Comment:

 I think it is probably related that the following fails: (with R and S as
 above)
 {{{
 S('(x+y)/y')
 }}}
 with the same error.  Again, polynomial coercion like
 {{{
 S('x+y')
 }}}
 succeeds.  (If someone finds that this is a different problem, please put
 in a separate ticket, but I'm guessing it's related.)

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11368#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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