#14624: Failure in Singular upon division with remainder for a multivariate
polynomial ring over a univariate fraction field
-----------------------------------+----------------------------------------
   Reporter:  nthiery              |             Owner:  malb     
       Type:  defect               |            Status:  new      
   Priority:  major                |         Milestone:  sage-5.10
  Component:  commutative algebra  |          Keywords:           
Work issues:                       |   Report Upstream:  N/A      
  Reviewers:                       |           Authors:           
  Merged in:                       |      Dependencies:           
   Stopgaps:                       |  
-----------------------------------+----------------------------------------
 {{{
 sage: M = PolynomialRing(QQ['a'].fraction_field(), ['x','y'])
 sage: x,y = M.gens()
 sage: a = M(M.base_ring().gen())
 sage: a.quo_rem(x)
 Traceback (most recent call last):
 ...
 /opt/sage-5.10.beta2/local/lib/python2.7/site-
 packages/sage/interfaces/singular.pyc in eval(self, x, allow_semicolon,
 strip, **kwds)
     588
     589         if s.find("error") != -1 or s.find("Segment fault") != -1:
 --> 590             raise SingularError('Singular error:\n%s'%s)
     591
     592         if get_verbose() > 0:

 TypeError: Singular error:
    ? division(`number`,`poly`) failed
    ? error occurred in or before STDIN line 101850: `def
 sage38517=division(sage38515,sage38516);`
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14624>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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