#14366: Zero does not belong to zero ideal of a number field
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       Reporter:  olitb          |         Owner:  davidloeffler
           Type:  defect         |        Status:  new          
       Priority:  major          |     Milestone:  sage-5.9     
      Component:  number fields  |    Resolution:               
       Keywords:                 |   Work issues:               
Report Upstream:  N/A            |     Reviewers:               
        Authors:                 |     Merged in:               
   Dependencies:                 |      Stopgaps:               
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Comment (by robharron):

 It seems to me that there is generic code in sage/rings/ideal.py for
 `__contains__` and this code shouldn't be touched. Basically, what it does
 is punts to the specific case's implementation of `_contains_`. I think
 the bug you point out means that for number field ideals, `_contains_` is
 buggy. So, the type of fix you suggest I think makes sense. Though, rather
 than `x == 0`, it should probably be `x == self.number_field().zero()`,
 otherwise anything that is 0 will evaluate as True.

 (I do wonder why the code for `__contains__` in sage/rings/ideal.py
 doesn't just return True for the zero element).

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14366#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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