On 9/5/07, Bill Hart <[EMAIL PROTECTED]> wrote:
>
> Degree 4:
>
> 4, 5, 1000 : 10s 10s
> 4, 10, 100 : 20-30s 21-30s
> x^4 - 19668*x^3 + 17560*x^2 + 26384*x + 30412 : 7.89s ....
> x^4 - 956*x^3 - 7384*x^2 + 2639*x - 17854 : 1.01s 100s
> x^4 - 1059*x^3 + 30230*x^2 + 10713*x + 25155 : 0.521s 13.5s
> x^4 + 27001*x^3 + 7255*x^2 + 16695*x + 23797 : 16.3s ....
> x^4 - 27623*x^3 + 14668*x^2 + 31695*x - 22705 : 6.01s ....
>
> The obvious question - don't ask, I have absolutely no idea.\

Yeah, OK, that sort of behavior in MAGMA is really annoying.
I remember running into problems like that when computing
Selmer groups...

Anyways, just out of curiosity do you think SAGE should default
to "proof = True" (like Magma claims to do, but I've heard doesn't
really) or "proof = False" (like PARIA) when computing class groups?
Right now, SAGE defaults to proof = True for that, but maybe it
shouldn't?  Please share your thoughts.

The difference in speed between proof True and proof=False is
vast in this case.

William

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