#14489: _S_class_group_and_units is mathematically incorrect
---------------------------------+------------------------------------------
       Reporter:  robharron      |         Owner:  davidloeffler
           Type:  defect         |        Status:  needs_work   
       Priority:  critical       |     Milestone:  sage-5.11    
      Component:  number fields  |    Resolution:               
       Keywords:  S-class group  |   Work issues:               
Report Upstream:  N/A            |     Reviewers:  Peter Bruin  
        Authors:  Robert Harron  |     Merged in:               
   Dependencies:                 |      Stopgaps:               
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Comment (by pbruin):

 I don't have access to a 32-bit machine on which to test this.  The
 expected output and the actual output differ only in the third element of
 each triple, and they differ by a unit (which is -1 in the second case; I
 haven't checked in the first case).  This is consistent with the fact that
 this element is a somewhat arbitrary generator of a principal ideal.  This
 doctest failure should go away when applying both this patch and #14746,
 which eliminates this third element, among other things.

 Perhaps the quickest fix would be to mark the output of these doctests as
 random in this patch and revert to non-random in the patch of #14746?

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14489#comment:17>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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