#6458: [with patch, needs work] Inverse modulo an ideal in a relative number 
field
----------------------------+-----------------------------------------------
 Reporter:  davidloeffler   |       Owner:  was           
     Type:  defect          |      Status:  new           
 Priority:  major           |   Milestone:  sage-4.1.1    
Component:  number theory   |    Keywords:                
 Reviewer:  Nick Alexander  |      Author:  David Loeffler
   Merged:                  |  
----------------------------+-----------------------------------------------

Comment(by ncalexan):

 Also, I get a doctest failure on sage.math.  This could be transient --
 this is with a slightly out of date sage build.  But there's no way this
 will work on all architectures, so testing the property will be much
 better.

 {{{
 sage -t -long devel/sage/sage/rings/number_field/number_field_element.pyx
 **********************************************************************
 File "/scratch/ncalexan/sage-4.0.2.alpha1/devel/sage-
 main/sage/rings/number_field/number_field_element.pyx", line 3436:
     sage: OE(b - a).inverse_mod(17*b)
 Expected:
     (-25*b + 26)*a + 51*b - 1
 Got:
     (26*b - 25)*a - 51*b - 1
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6458#comment:3>
Sage <http://sagemath.org/>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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