#12803: quotient of ideals throws up Singular bug
-----------------------+----------------------------------------------------
   Reporter:  mariah   |             Owner:  AlexGhitza
       Type:  defect   |            Status:  new       
   Priority:  major    |         Milestone:  sage-5.0  
  Component:  algebra  |          Keywords:            
Work issues:           |   Report Upstream:  N/A       
  Reviewers:           |           Authors:            
  Merged in:           |      Dependencies:            
   Stopgaps:           |  
-----------------------+----------------------------------------------------
 {{{
 sage: var('x,y,z')
 (x, y, z)
 sage: R = ZZ[x,y,z]
 sage: A = R.ideal([x^2, x*y, x*z])
 sage: B = R.ideal([x])
 sage: A.quotient(B)
 ---------------------------------------------------------------------------
 RuntimeError                              Traceback (most recent call
 last)

 /home/mariah/sage/sage-4.8-x86_64-Linux-core2-fc/<ipython console> in
 <module>()

 /home/mariah/sage/sage-4.8-x86_64-Linux-core2-fc/local/lib/python2.6/site-
 packages/sage/rings/polynomial/multi_polynomial_ideal.pyc in
 wrapper(*args, **kwds)
     500         """
     501         with LibSingularDefaultContext():
 --> 502             return func(*args, **kwds)
     503     return wrapper
     504

 /home/mariah/sage/sage-4.8-x86_64-Linux-core2-fc/local/lib/python2.6/site-
 packages/sage/rings/polynomial/multi_polynomial_ideal.pyc in
 quotient(self, J)
    2224         import sage.libs.singular
    2225         quotient = sage.libs.singular.ff.quotient
 -> 2226         return R.ideal(quotient(self, J))
    2227
    2228     @require_field

 /home/mariah/sage/sage-4.8-x86_64-Linux-core2-fc/local/lib/python2.6/site-
 packages/sage/libs/singular/function.so in
 sage.libs.singular.function.SingularFunction.__call__
 (sage/libs/singular/function.cpp:10130)()

 /home/mariah/sage/sage-4.8-x86_64-Linux-core2-fc/local/lib/python2.6/site-
 packages/sage/libs/singular/function.so in
 sage.libs.singular.function.call_function
 (sage/libs/singular/function.cpp:11392)()

 /home/mariah/sage/sage-4.8-x86_64-Linux-core2-fc/local/lib/python2.6/site-
 packages/sage/libs/singular/function.so in
 sage.libs.singular.function.call_function
 (sage/libs/singular/function.cpp:11306)()

 RuntimeError: Segmentation fault
 sage:
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12803>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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