#15710: Singular hangs in division of rational functions over cyclotomic field
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       Reporter:  ppurka         |        Owner:
           Type:  defect         |       Status:  new
       Priority:  major          |    Milestone:  sage-6.1
      Component:  number fields  |   Resolution:
       Keywords:                 |    Merged in:
        Authors:                 |    Reviewers:
Report Upstream:  N/A            |  Work issues:
         Branch:                 |       Commit:
   Dependencies:  #14333         |     Stopgaps:
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Comment (by jdemeyer):

 Agreed, it actually doesn't hang, just takes an extraordinary large amount
 of time:
 {{{
 sage: %time F.<a>=CyclotomicField(49); G = F['z,w'].fraction_field();
 1/G(a^28 + a^23 + 1)
 CPU times: user 0.02 s, sys: 0.00 s, total: 0.02 s
 Wall time: 0.02 s
 }}}
 {{{
 sage: %time F.<a>=CyclotomicField(49); G = F['z,w'].fraction_field();
 1/G(a^28 + a^23 - 1)
 CPU times: user 11.64 s, sys: 0.06 s, total: 11.70 s
 Wall time: 11.72 s
 }}}

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Ticket URL: <http://trac.sagemath.org/ticket/15710#comment:13>
Sage <http://www.sagemath.org>
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