On Dec 20, 2007 1:13 PM, Bill Hart <[EMAIL PROTECTED]> wrote:
>
> For comparison, here is our favourite non-free closed source package
> vs Pari and NTL for factoring with two large factors:
>
> Magma vs Pari:
>
> http://sage.math.washington.edu/home/wbhart/flint-trunk/graphing/magpari-factor.png
>
> Magma vs NTL:
>
> http://sage.math.washington.edu/home/wbhart/flint-trunk/graphing/magNTL-factor.png
>
> Something that may not be fair here is that Magma factors the content,
> so I have divided the polynomials used by their content before
> factoring them. But I didn't include the time taken to divide by the
> content in the timing. Given that computing the content should be
> almost instant generically, I don't see this as much of a problem
> though.

Conclusion: Magma completely totally devastates both PARI and NTL,
except for some
small cases?  That's what the plots seem to say.

I now really wonder how Maple and Mathematica do in comparison.

William

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