#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:
  u/jdemeyer/ticket/15710            |  13573a935764c03692d67661fbc31fa3cedf1349
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------
Changes (by jdemeyer):

 * commit:   => 13573a935764c03692d67661fbc31fa3cedf1349


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 is likely a bug in Singular.

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.

 The attached branch fixes the "cannot be interrupted" part of the bug.

--

Comment:

 New commits:
 
||[http://git.sagemath.org/sage.git/commit/?id=1753f06bb356908e5d3317f4d92c00421bde93ba
 1753f06]||{{{Update Singular to version 3-1-6.}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=536a31f920117a8d048447f6b7a7477bcffc213a
 536a31f]||{{{Update Singular function interface to API changes in Singular
 3.1.6.}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=dd469911d19ed7080fecdb90f8773c487c744a9b
 dd46991]||{{{Remove description of deleted patches.}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=0a702e99e888ff087ad061cc0a0d11d68c336c31
 0a702e9]||{{{Merge commit 'dd469911d19ed7080fec' into ticket/15710}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=13573a935764c03692d67661fbc31fa3cedf1349
 13573a9]||{{{Add some sig_on() blocks to Singular interface}}}||

--
Ticket URL: <http://trac.sagemath.org/ticket/15710#comment:5>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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