#19567: Using elements of universal cyclotomic field and symbolic ring silently
produces garbage
-------------------------+-------------------------------------------------
   Reporter:  switzel    |            Owner:
       Type:  defect     |           Status:  new
   Priority:  major      |        Milestone:  sage-6.10
  Component:  number     |         Keywords:  cyclotomic field, symbolic
  fields                 |  ring
  Merged in:             |          Authors:
  Reviewers:             |  Report Upstream:  N/A
Work issues:             |           Branch:
     Commit:             |     Dependencies:
   Stopgaps:             |
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 {{{
 sage: UCF = UniversalCyclotomicField()
 sage: UCF(1)*SR(1)
 0
 sage: UCF(1)+SR(1)
 1
 }}}
 Clearly the first one should be 1 in some ring or raise an exception.
 Similarly the second should be 2 in some ring or raise an exception.

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Ticket URL: <http://trac.sagemath.org/ticket/19567>
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