#4190: [with patch, needs review] division of number field order elements 
doesn't
check for membership
---------------------------+------------------------------------------------
 Reporter:  davidloeffler  |        Owner:  davidloeffler
     Type:  defect         |       Status:  assigned     
 Priority:  major          |    Milestone:  sage-3.1.3   
Component:  number theory  |   Resolution:               
 Keywords:                 |  
---------------------------+------------------------------------------------
Changes (by davidloeffler):

  * status:  new => assigned
  * summary:  division of number field order elements doesn't check for
              membership => [with patch, needs review]
              division of number field order elements doesn't
              check for membership

Comment:

 OK, here's a very small patch. Turns out order elements are a cdef class,
 so I wrote a _div_c_impl.

 I wondered whether the return value should be in the order if that makes
 sense, and in the fraction field otherwise, but this slowed everything
 down by a factor of 2 according to timeit() so I made it always return
 fraction field elements.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4190#comment:4>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel
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