#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:
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Comment (by malb):

 Works for me:

 {{{
 sage: F.<a>=CyclotomicField(49); G = F['z,w'].fraction_field(); 1/G(a^28 +
 a^23 - 1)
 (680161/4485167*a^41 - 1808464/4485167*a^40 + 183965/4485167*a^39 -
 1904126/4485167*a^38 - 427226/4485167*a^37 - 1928114/4485167*a^36 +
 885906/4485167*a^35 - 778361/4485167*a^34 - 162589/4485167*a^33 -
 324303/4485167*a^32 - 632185/4485167*a^31 - 817800/4485167*a^30 -
 1123149/4485167*a^29 + 384188/4485167*a^28 - 793121/4485167*a^27 +
 867518/4485167*a^26 - 937329/4485167*a^25 + 488348/4485167*a^24 -
 1850813/4485167*a^23 + 219604/4485167*a^22 + 1035482/4485167*a^21 +
 808745/4485167*a^20 - 1148406/4485167*a^19 + 1017389/4485167*a^18 -
 1061865/4485167*a^17 - 731354/4485167*a^16 - 1028349/4485167*a^15 +
 112924/4485167*a^14 - 465812/4485167*a^13 - 1406657/4485167*a^12 +
 81895/4485167*a^11 - 1718038/4485167*a^10 - 236022/4485167*a^9 -
 1681906/4485167*a^8 + 1257081/4485167*a^7 - 988840/4485167*a^6 +
 895391/4485167*a^5 - 921705/4485167*a^4 + 207460/4485167*a^3 -
 1770753/4485167*a^2 - 353913/4485167*a - 1546685/4485167)
 }}}

 {{{
 sage: version()
 'Sage Version 6.1.beta4, Release Date: 2014-01-05'
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/15710#comment:12>
Sage <http://www.sagemath.org>
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