#9408: relativize in number fields is broken
-----------------------------+----------------------------------------------
   Reporter:  lftabera       |       Owner:  davidloeffler
       Type:  defect         |      Status:  new          
   Priority:  major          |   Milestone:  sage-4.5     
  Component:  number fields  |    Keywords:  relativize   
     Author:                 |    Upstream:  N/A          
   Reviewer:                 |      Merged:               
Work_issues:                 |  
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 Does not work due to (maybe) denominators

 {{{
 sage: K.<a> = NumberField(x^4-4*x^3+12*x^2-16*x+8)
 sage: L.<u,v> = K.relativize(3*a**3 - 9*a**2 + 24*a -16)
 sage:#This seems OK
 sage: L2.<u2,v2> = K.relativize((3/4)*a**3 - (9/4)*a**2 + 6*a -4)
 }}}
 PariError:  (8)

 Simpler example

 {{{
 sage: L.<a,b> = QQ[i].relativize(1) #Ok
 sage: L.<a,b> = QQ[i].relativize(1/2) #PariError
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9408>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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