Thanks, I found that it even gets much worse with a bigger finite
field.

For example if p = next_prime(1000000)

and I try the same experiment in GF(p^2), Magma is over 100 times
faster!

Victor

On Jul 30, 6:07 pm, Robert Bradshaw <[email protected]>
wrote:
> On Jul 30, 2009, at 2:50 PM, VictorMiller wrote:
>
> > I just did a test of SAGE versus Magma on the same computer.
>
> > I had a finite field GF(19991^2), and timed generating a random
> > element in SAGE and in Magma.
> > I found, much to my surprise, that Magma was a factor of 7 times
> > faster.  Does anyone know what
> > method they use?
>
> No, but for this size field we're using a wrapper around pari, so I'm  
> sure there's lots of needless overhead converting and copying in our  
> implementation.
>
> - Robert
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