#17680: bug in Singulars factorize()
-------------------------+-------------------------------------------------
   Reporter:             |            Owner:
  jakobkroeker           |           Status:  new
       Type:  defect     |        Milestone:  sage-6.5
   Priority:  minor      |         Keywords:  Singular
  Component:  packages:  |          Authors:
  standard               |  Report Upstream:  Fixed upstream, in a later
  Merged in:             |  stable release.
  Reviewers:             |           Branch:
Work issues:             |     Dependencies:
     Commit:             |
   Stopgaps:             |
-------------------------+-------------------------------------------------
 failing example:
 {{{
 sage: R.<a,r,v,n,g,f,h,o>=QQ[]
 sage: f =
 
248301045*a^2*r^10*n^2*o^10+570807000*a^2*r^9*n*o^9-137945025*a^2*r^8*n^2*o^8+328050000*a^2*r^8*o^8-253692000*a^2*r^7*n*o^7+30654450*a^2*r^6*n^2*o^6-109350000*a^2*r^6*o^6+42282000*a^2*r^5*n*o^5-3406050*a^2*r^4*n^2*o^4-22457088*a*r^2*v*n^2*o^6+12150000*a^2*r^4*o^4-3132000*a^2*r^3*n*o^3+189225*a^2*r^2*n^2*o^2+2495232*a*v*n^2*o^4-450000*a^2*r^2*o^2+87000*a^2*r*n*o-4205*a^2*n^2;
 sage: factors = factor(f);
 sage: len(factors) # 3, expected 4
 sage: factor(factors[1][0])
 (3*r*o - 1) * (3*r*o + 1)
 }}}


 corresponding upsteam report:

 http://www.singular.uni-kl.de:8002/trac/ticket/659

 This bug is fixed in Singular 4.0.1

--
Ticket URL: <http://trac.sagemath.org/ticket/17680>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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