#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_work       
   Priority:  major                                        |   Milestone:  
sage-4.6         
  Component:  number fields                                |    Keywords:  PARI 
number field
     Author:  William Stein, Jeroen Demeyer                |    Upstream:  N/A  
            
   Reviewer:  Jeroen Demeyer, William Stein, John Cremona  |      Merged:       
            
Work_issues:                                               |  
-----------------------------------------------------------+----------------
Description changed by jdemeyer:

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.

 The patches which should be merged for this ticket are
 
[http://trac.sagemath.org/sage_trac/attachment/ticket/9400/9400_maximize_at_primes.patch
 9400_maximize_at_primes.patch] and
 [http://trac.sagemath.org/sage_trac/attachment/ticket/9400/9400_jd_review.patch
 9400_jd_review.patch]

--

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9400#comment:24>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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