#9400: modify the NumberField constructor to pass in optional integer B such 
that
all the internal pari routines will replace the discriminant by its gcd
with B, making some things massively faster.
---------------------------------------------+------------------------------
   Reporter:  was                            |       Owner:  jdemeyer         
       Type:  enhancement                    |      Status:  needs_review     
   Priority:  major                          |   Milestone:  sage-4.6         
  Component:  number fields                  |    Keywords:  PARI number field
     Author:  William Stein, Jeroen Demeyer  |    Upstream:  N/A              
   Reviewer:  Jeroen Demeyer, John Cremona   |      Merged:                   
Work_issues:                                 |  
---------------------------------------------+------------------------------
Changes (by jdemeyer):

  * status:  needs_work => needs_review


Old description:

> Also:
>
>    * ReSTify residue class fields
>
>    * massively optimize reduction modulo a prime (e.g., the first
> interesting example I tried, I got a speedup of a factor of 500,000!  Yes
> half a million times faster!).
>
> Parts of this patch have been moved to #9764.

New description:

 Also:

    * ReSTify residue class fields

    * massively optimize reduction modulo a prime (e.g., the first
 interesting example I tried, I got a speedup of a factor of 500,000!  Yes
 half a million times faster!).

 Parts of this patch have been moved to #9764.

 Apply only {{{9400_combined.patch}}} and apply it on top of the patches
 from #9343.  See also [http://wiki.sagemath.org/NewPARI].

--

Comment:

 Replying to [comment:28 was]:
 > I tried to apply your patch (9400_combined.patch) and there are a
 massive number of rejects:

 It is meant to be applied after #9343, then it works fine.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9400#comment:29>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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