#6018: Confusing behaviour with Dirichlet characters
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   Reporter:  davidloeffler  |       Owner:  craigcitro          
       Type:  defect         |      Status:  needs_work          
   Priority:  minor          |   Milestone:  sage-4.3.1          
  Component:  modular forms  |    Keywords:  Dirichlet characters
     Author:                 |    Upstream:  N/A                 
   Reviewer:                 |      Merged:                      
Work_issues:                 |  
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Changes (by was):

  * status:  positive_review => needs_work


Comment:

 Hey, why, wait, what happens if you create a zeta such that
 zeta.multiplicative_order() doesn't work?!
 {{{
 sage: a = CDF(CyclotomicField(5).0)
 sage: G = DirichletGroup(11, base_ring=a.parent(), zeta=a, zeta_order=5)
 sage: G
 Group of Dirichlet characters of modulus 11 over Complex Double Field
 sage: G.0
 [0.309016994375 + 0.951056516295*I]
 sage: G.0(2)
 0.309016994375 + 0.951056516295*I
 }}}

 Please revert getting rid of zeta_order and make that part of another
 ticket, keeping in mind that you can't exactly do that, since it is
 important.  The above doctest should be put in that ticket since this
 problem wouldn't have happened if I had included the above test.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6018#comment:11>
Sage <http://www.sagemath.org>
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