#252: Make number fields work when polynomial not integral or not monic.
-------------------------------------+-------------------------------------
       Reporter:  was                |        Owner:  davidloeffler
           Type:  defect             |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-6.4
      Component:  number fields      |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Peter Bruin        |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/pbruin/252-number_fields         |  d1227146064d0e4ebcaf313f6eeec5c70713dde3
   Dependencies:  #18740             |     Stopgaps:
-------------------------------------+-------------------------------------

Comment (by pbruin):

 Actually the bug is in the conversion from PARI elements expressed on the
 integral basis:
 {{{
 sage: F.<a> = NumberField(2*x^3+x+1)
 sage: b = F.random_element()
 sage: F(F.pari_nf().nfalgtobasis(b)) == b
 False  # should be True
 }}}
 I'm working on a patch.

--
Ticket URL: <http://trac.sagemath.org/ticket/252#comment:30>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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