#7958: Conversion of rationals into the fraction field of integer polynomials
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   Reporter:  spancratz  |       Owner:  robertwb    
       Type:  defect     |      Status:  needs_review
   Priority:  major      |   Milestone:  sage-4.3.2  
  Component:  coercion   |    Keywords:              
Work_issues:             |      Author:  spancratz   
   Upstream:  N/A        |    Reviewer:              
     Merged:             |  
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Changes (by spancratz):

  * priority:  minor => major
  * status:  needs_work => needs_review


Comment:

 To see that this issue is now resolved (for rationals and number fields),
 consider
 {{{sage: _.<x> = ZZ[]
 sage: K.<a> = NumberField(x^5-3*x^4+2424*x^3+2*x-232)
 sage: R.<b> = K.ring_of_integers()
 sage: S.<y> = R[]
 sage: F = Frac(S)
 sage: F(1/a)
 a^4 - 3*a^3 + 2424*a^2 + 2/232
 sage: F(1/a).numerator()
 a^4 - 3*a^3 + 2424*a^2 + 2
 sage: F(1/a).denominator()
 232
 }}}

 But the last three lines highlight a bug in the printing routines.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7958#comment:4>
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