#12807: Taking the real part of a sum of exponentials with imaginary exponents
gives wrong result
-------------------------+--------------------------------------------------
   Reporter:  inaki      |             Owner:  burcin  
       Type:  defect     |            Status:  new     
   Priority:  major      |         Milestone:  sage-5.0
  Component:  symbolics  |          Keywords:          
Work issues:             |   Report Upstream:  N/A     
  Reviewers:             |           Authors:          
  Merged in:             |      Dependencies:          
   Stopgaps:             |  
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 In sage 4.8 the following computation gives 1/2, while the right result is
 -3/2:
 {{{
 sage: a = exp(i*2*pi/3)
 sage: b = exp(i*pi/3)
 sage: c = 2*a-b
 sage: c.real()
 1/2
 }}}

 Doing the computation numerically gives the right result:
 {{{
 sage: N(c).real()
 -1.50000000000000
 }}}
 and asking maxima directly also works:
 {{{
 sage: (c.maxima_methods().rectform()).real()
 -3/2
 }}}

 This is sage 4.8 running on Fedora 16, linux 3.1.0-7.fc16.x86_64 SMP.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12807>
Sage <http://www.sagemath.org>
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