#15710: Singular hangs in division of rational functions over 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:  #14333         |     Stopgaps:
---------------------------------+------------------------
Changes (by jdemeyer):

 * commit:  13573a935764c03692d67661fbc31fa3cedf1349 =>
 * branch:  u/jdemeyer/ticket/15710 =>


Old description:

> From the [https://spreadsheets.google.com/pub?key=pCwvGVwSMxTzT6E2xNdo5fA
> google notebook bug reports]
>
> This hangs and cannot be interrupted:
> {{{
> sage: F.<a>=CyclotomicField(49); G = F['z,w'].fraction_field(); 1/G(a^28
> + a^23 - 1)
> }}}
>
> The problem depends on the value that we are dividing by: `1/G(a^28 +
> a^23 + 1)` works and returns the correct value.
>
> The attached branch fixes the "cannot be interrupted" part of the bug.

New description:

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

 This hangs and cannot be interrupted:
 {{{
 sage: F.<a>=CyclotomicField(49); G = F['z,w'].fraction_field(); 1/G(a^28 +
 a^23 - 1)
 }}}

 The problem depends on the value that we are dividing by: `1/G(a^28 + a^23
 + 1)` works and returns the correct value.

 Ticket #15717 fixes the "cannot be interrupted" part of the bug.

--

--
Ticket URL: <http://trac.sagemath.org/ticket/15710#comment:11>
Sage <http://www.sagemath.org>
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