#9492: add computation of swinnerton-dyer polynomials to sage
---------------------------+------------------------------------------------
   Reporter:  was          |       Owner:  jason     
       Type:  enhancement  |      Status:  new       
   Priority:  minor        |   Milestone:  sage-4.5.1
  Component:  misc         |    Keywords:            
     Author:               |    Upstream:  N/A       
   Reviewer:               |      Merged:            
Work_issues:               |  
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 Magma has 'em, so we should to:

    http://magma.maths.usyd.edu.au/magma/htmlhelp/text306.htm

 Sympy has them:


 This page has a Mathematica notebook with a function that computes them:

    http://mathworld.wolfram.com/Swinnerton-DyerPolynomial.html

 I tried it in Mathematica 7, and it is massively, dramatically *SLOW*
 compared to Magma.   For comparison, the 5th one takes 55 seconds in
 Mathematica, and in Magma it takes... 0.02 seconds.

 {{{
   n   time in seconds with Magma 2.15.11 on my macbook air
 ----------------
   5  | 0.02
   6  | 0.18
   7  | 6.68
   8  | 99.99
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9492>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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