#9334: hilbert symbols!!!
------------------------------------------------+---------------------------
   Reporter:  aly.deines                        |       Owner:  davidloeffler 
       Type:  enhancement                       |      Status:  needs_work    
   Priority:  minor                             |   Milestone:  sage-5.0      
  Component:  number fields                     |    Keywords:  hilbert symbol
     Author:  aly.deines                        |    Upstream:  N/A           
   Reviewer:  David Loeffler, John Cremona      |      Merged:                
Work_issues:  ReST formatting issues, and more  |  
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Comment(by mstreng):

 In addition to the first part of my precious comment:
 generalized_even_hilbert_symbol should accept a and b to both be divisible
 by p.
 {{{
 sage: hilbert_symbol(2,2,2)
 1
 sage: K.<i>=QuadraticField(-1)
 sage: O=K.maximal_order()
 sage: generalized_hilbert_symbol(3,3,3*O)
 1
 sage: generalized_hilbert_symbol(2,2,2*O)
 ValueError: P must be a prime
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9334#comment:10>
Sage <http://www.sagemath.org>
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