#20288: Arithmetic in QQbar mutates elements
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   Reporter:  jdemeyer       |            Owner:
       Type:  defect         |           Status:  new
   Priority:  minor          |        Milestone:  sage-7.2
  Component:  number theory  |         Keywords:
  Merged in:                 |          Authors:
  Reviewers:                 |  Report Upstream:  N/A
Work issues:                 |           Branch:
     Commit:                 |     Dependencies:
   Stopgaps:                 |
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 When doing arithmetic with a `QQbar` element, operations subtly mutate the
 elements which should be constant.

 In the example below, we see that `M^2` is displayed differently after we
 compute the rank of `M`:
 {{{
 sage: M = matrix(QQbar, 2, 2, [1, sqrt(-3), -sqrt(-3), 3])
 sage: M^2
 [   4.000000000000000?  6.928203230275509?*I]
 [-6.928203230275509?*I    12.00000000000000?]
 sage: rank(M)
 1
 sage: M^2
 [                    4  6.928203230275509?*I]
 [-6.928203230275509?*I                    12]
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/20288>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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