#15710: sage hangs in division in cyclotomic field
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   Reporter:  ppurka         |            Owner:
       Type:  defect         |           Status:  new
   Priority:  major          |        Milestone:  sage-6.1
  Component:  number fields  |         Keywords:
  Merged in:                 |          Authors:
  Reviewers:                 |  Report Upstream:  N/A
Work issues:                 |           Branch:
     Commit:                 |     Dependencies:
   Stopgaps:                 |
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 From the [https://spreadsheets.google.com/pub?key=pCwvGVwSMxTzT6E2xNdo5fA
 google notebook bug reports]
 {{{
 # The computation of b below hangs.

 q=49
 F.<E>=CyclotomicField(q)
 G = F['z,w'].fraction_field()
 [z,w]=G.gens()

 denom = (E-E^22)*(E-E^27)
 print denom
 print

 recip=1/denom
 print recip
 print

 a=w*recip
 print a
 print

 b=w/denom
 print b
 print

 recip=1/denom
 print recip
 print

 a=w*recip
 print a
 print

 b=w/denom
 print b
 }}}
 ''The attempt to evaluate b=w/denom hangs. But the reciprocal of the
 denominator is not complicated: Sage has no trouble evaluating
 recip=1/denom and then a=w*recip.''

 ''Note that z is not involved in this computation, just in the definition
 in the field of rational functions.''

--
Ticket URL: <http://trac.sagemath.org/ticket/15710>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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