#13824: ZeroDivisionError in CyclotomicField __contains__
-----------------------------+----------------------------------------------
   Reporter:  vbraun         |             Owner:  tbd     
       Type:  defect         |            Status:  new     
   Priority:  major          |         Milestone:  sage-5.6
  Component:  PLEASE CHANGE  |          Keywords:  beginner
Work issues:                 |   Report Upstream:  N/A     
  Reviewers:                 |           Authors:          
  Merged in:                 |      Dependencies:          
   Stopgaps:                 |  
-----------------------------+----------------------------------------------
 The `__contains__` method should return ``False`` if the element is not
 cyclotomic, but instead it blows up with a zero division error if the
 denominator is zero in the cyclotomic field:
 {{{
 sage: 4/3 in GF(3)
 ERROR: An unexpected error occurred while tokenizing input
 The following traceback may be corrupted or invalid
 The error message is: ('EOF in multi-line statement', (1931, 0))

 ERROR: An unexpected error occurred while tokenizing input
 The following traceback may be corrupted or invalid
 The error message is: ('EOF in multi-line statement', (1936, 0))

 ---------------------------------------------------------------------------
 ZeroDivisionError                         Traceback (most recent call
 last)

 /home/vbraun/Documents/Ftheory/ToricFibrationsP2/TateShafarevich/<ipython
 console> in <module>()

 /home/vbraun/opt/sage-5.5.rc0/local/lib/python2.7/site-
 packages/sage/structure/parent.so in
 sage.structure.parent.Parent.__contains__ (sage/structure/parent.c:7845)()

 /home/vbraun/opt/sage-5.5.rc0/local/lib/python2.7/site-
 packages/sage/structure/parent.so in sage.structure.parent.Parent.__call__
 (sage/structure/parent.c:7305)()

 /home/vbraun/opt/sage-5.5.rc0/local/lib/python2.7/site-
 packages/sage/structure/coerce_maps.so in
 sage.structure.coerce_maps.DefaultConvertMap_unique._call_
 (sage/structure/coerce_maps.c:3583)()

 /home/vbraun/opt/sage-5.5.rc0/local/lib/python2.7/site-
 packages/sage/structure/coerce_maps.so in
 sage.structure.coerce_maps.DefaultConvertMap_unique._call_
 (sage/structure/coerce_maps.c:3485)()

 /home/vbraun/opt/sage-5.5.rc0/local/lib/python2.7/site-
 packages/sage/rings/finite_rings/integer_mod_ring.pyc in
 _element_constructor_(self, x)
     928         """
     929         try:
 --> 930             return integer_mod.IntegerMod(self, x)
     931         except (NotImplementedError, PariError):
     932             raise TypeError, "error coercing to finite field"

 /home/vbraun/opt/sage-5.5.rc0/local/lib/python2.7/site-
 packages/sage/rings/finite_rings/integer_mod.so in
 sage.rings.finite_rings.integer_mod.IntegerMod
 (sage/rings/finite_rings/integer_mod.c:3501)()

 /home/vbraun/opt/sage-5.5.rc0/local/lib/python2.7/site-
 packages/sage/rings/finite_rings/integer_mod.so in
 sage.rings.finite_rings.integer_mod.IntegerMod_int.__init__
 (sage/rings/finite_rings/integer_mod.c:19191)()

 /home/vbraun/opt/sage-5.5.rc0/local/lib/python2.7/site-
 packages/sage/rings/rational.so in sage.rings.rational.Rational.__mod__
 (sage/rings/rational.c:20034)()

 /home/vbraun/opt/sage-5.5.rc0/local/lib/python2.7/site-
 packages/sage/rings/integer.so in sage.rings.integer.Integer.inverse_mod
 (sage/rings/integer.c:32846)()

 ZeroDivisionError: Inverse does not exist.
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13824>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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