#10975: creation of certain prime finite fields is double dog slow (compared to
Magma)
--------------------------------------+-------------------------------------
   Reporter:  was                     |          Owner:  AlexGhitza     
       Type:  enhancement             |         Status:  positive_review
   Priority:  critical                |      Milestone:  sage-4.7.2     
  Component:  basic arithmetic        |       Keywords:  sd32           
Work_issues:                          |       Upstream:  N/A            
   Reviewer:  David Roe, Tom Boothby  |         Author:  William Stein  
     Merged:                          |   Dependencies:                 
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Changes (by leif):

  * reviewer:  David Roe => David Roe, Tom Boothby


Old description:

> {{{
> sage: time FiniteField(10^310+733)  # approx 30 CPU seconds
> magma: time FiniteField(10^310+733)  // approx 0.01 CPU seconds
> }}}
>
> This is a prime field.

New description:

 {{{
 sage: time FiniteField(10^310+733)  # approx 30 CPU seconds
 magma: time FiniteField(10^310+733)  // approx 0.01 CPU seconds
 }}}

 This is a prime field.

 ----

 Apply only [attachment:trac_10975.2.patch] to the Sage library.

--

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10975#comment:11>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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