#14658: multivariate factorization errors
------------------------------------+-------------------------
       Reporter:  burcin            |        Owner:  tbd
           Type:  defect            |       Status:  new
       Priority:  major             |    Milestone:  sage-5.12
      Component:  factorization     |   Resolution:
       Keywords:  singular factory  |    Merged in:
        Authors:                    |    Reviewers:
Report Upstream:  N/A               |  Work issues:
         Branch:                    |       Commit:
   Dependencies:                    |     Stopgaps:
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Comment (by chapoton):

 on 5.12.beta2, one gets:
 {{{
 sage: R.<x1,x2,x3> = QQ['x1,x2,x3']
 sage: f = (x1+x2+x3)*(2*x1-x2+x3+2)*(4*x1+x2+x3+2)*(8*x1-x2+x3+4)
 sage: f.factor()
 (x1 + x2 + x3) * (64*x1^3 - 24*x1^2*x2 - 6*x1*x2^2 + x2^3 + 56*x1^2*x3 -
 8*x1*x2*x3 - x2^2*x3 + 14*x1*x3^2 - x2*x3^2 + x3^3 + 128*x1^2 - 20*x1*x2 -
 4*x2^2 + 68*x1*x3 - 4*x2*x3 + 8*x3^2 + 80*x1 - 4*x2 + 20*x3 + 16)
 sage: factor(f)
 ---------------------------------------------------------------------------
 Traceback (most recent call last):
 ...
 RuntimeError: Floating point exception

 }}}

 so it either fails or returns a partial factorisation..

--
Ticket URL: <http://trac.sagemath.org/ticket/14658#comment:2>
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