#15303: Coercion discovery fails to be transitive
-------------------------------------+-------------------------------------
       Reporter:  nbruin             |        Owner:
           Type:  defect             |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-5.13
      Component:  coercion           |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Simon King         |    Reviewers:
Report Upstream:  N/A                |  Work issues:  analyse recursion
         Branch:                     |  error
  u/SimonKing/ticket/15303           |       Commit:
   Dependencies:  #14711             |  f837cbee8f81c4946a92193c73e86449c53515d9
                                     |     Stopgaps:
-------------------------------------+-------------------------------------
Changes (by SimonKing):

 * status:  needs_review => needs_work
 * work_issues:   => analyse recursion error


Comment:

 The following runs into an infinite loop:
 {{{
 sage: CF = CyclotomicField(5)
 sage: UCF.<E> = UniversalCyclotomicField()
 sage: CF = CyclotomicField(5,embedding=CC(exp(4*pi*i/5)))
 sage: x = E(5)
 sage: CC(x)
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/15303#comment:17>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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