#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:  davidloeffler
       Type:  enhancement    |      Status:  needs_review 
   Priority:  major          |   Milestone:  sage-4.6     
  Component:  number fields  |    Keywords:               
     Author:                 |    Upstream:  N/A          
   Reviewer:                 |      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!).
>
>    * implement hashing for number field ideals that isn't a stupid string
> repr, hence vastly faster
>
>    * make number field ideals *not* print in reduced form; this will look
> uglier, but is massively faster and more sensible for any real
> applications, as people learned constantly at sage days 22.

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.

--

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9400#comment:18>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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