#727: find rational points on plane conic curves [with patch, needs work]
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   Reporter:  was          |       Owner:  mstreng                              
     
       Type:  enhancement  |      Status:  needs_work                           
     
   Priority:  major        |   Milestone:  sage-4.5                             
     
  Component:  geometry     |    Keywords:  rational point points conic 
quadratic form
     Author:               |    Upstream:  N/A                                  
     
   Reviewer:               |      Merged:                                       
     
Work_issues:               |  
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Changes (by mstreng):

 * cc: rlm (added)
  * upstream:  => N/A


Comment:

 * this is being revived at Sage Days 23

 * trac_727-conic-extcode.patch should be removed: it updates Denis Simon's
 code from 2005 to 2007, while 2009 is already shipped with the latest Sage

 * trac_727_more_conic_files.patch implements a Conic class that uses Denis
 Simon's code and can find points on conics over number fields and finite
 fields. It includes most of trac_727-conic.patch and works by itself on
 4.4.4. Some doctests fail. It includes an incomplete and incorrect
 implementation of Hilbert symbols that should be replaced by the Hilbert
 symbols of #9334

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/727#comment:8>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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