#15710: sage hangs in division in cyclotomic field
---------------------------------+------------------------
       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:                 |     Stopgaps:
---------------------------------+------------------------
Description changed by jdemeyer:

Old description:

> 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.''

New description:

 From the [https://spreadsheets.google.com/pub?key=pCwvGVwSMxTzT6E2xNdo5fA
 google notebook bug reports]

 The computation of b below hangs and cannot be interrupted.
 {{{
 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

 }}}

 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#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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