#9334: Implement Hilbert symbols over number fields
--------------------------------------------------------------------------------------------------------------------------------------------+
   Reporter:  aly.deines                                                        
                                                            |       Owner:  
davidloeffler                               
       Type:  enhancement                                                       
                                                            |      Status:  
needs_work                                  
   Priority:  major                                                             
                                                            |   Milestone:  
sage-5.0                                    
  Component:  number fields                                                     
                                                            |    Keywords:  
hilbert symbol                              
     Author:  Aly Deines, Marco Streng                                          
                                                            |    Upstream:  
Fixed upstream, but not in a stable release.
   Reviewer:  David Loeffler, John Cremona, Marco Streng                        
                                                            |      Merged:      
                                        
Work_issues:  update pari in sage, and make sure all doctests in this patch are 
correct (or finish Aly Deines' independent implementation)  |  
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Changes (by mstreng):

 * cc: jdemeyer (added)
  * work_issues:  either wait for Pari bug 1147 to be fixed, or finish Aly
                  Deines' independent Sage implementation
                  => update pari in sage, and make sure
                  all doctests in this patch are correct
                  (or finish Aly Deines' independent
                  implementation)
  * upstream:  Reported upstream. Developers acknowledge bug. => Fixed
               upstream, but not in a stable release.


Comment:

 The pari bug resulting in incorrect outputs of nfhilbert was fixed in Pari
 svn revision 13063 2011-04-05 14:03:38 +0100 (Tue, 05 Apr 2011).

 How do we get this fix into Sage?

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9334#comment:29>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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