On Fri, Mar 20, 2009 at 2:22 PM, David Kohel <drko...@gmail.com> wrote:
>
> William,
>
> Thanks for pointing out that I was wrong about the lifting problem
> and original of this slow behavior.
>
> Rather than just putting in place the solution by lifting to ZZ,
> which
> you show to be much faster for reasonable size, I hope someone
> can profile arithmetic or linear algebra for ZZ/nZZ and figure out
> why this determinant is so "dog slow".   Are there too many GCD's
> or what is going on?

It's slow becase it's using the O(n!) expansion by minors algorithm,
since one isn't over a domain and hence Sage doesn't use Hessenberg
form.

William

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