How fast is Magma for this?

On 22 oct, 17:51, Nils Bruin <[email protected]> wrote:
> On Oct 22, 8:06 am, William Stein <[email protected]> wrote:
>
> > Is there a research paper explaining the finite field approach to
> > QQbar?  It would be good to mention it here, since implementing
> > similar functionality Sage for computing with QQbar would be a good
> > project for somebody.
>
> MR2578343 (2011d:13043)  Steel, Allan K.  Computing with algebraically
> closed fields.
>  J. Symbolic Comput.  45  (2010),  no. 3, 342--372.
>
> MR2041106 (2005b:12016)  Steel, Allan . A new scheme for computing
> with algebraically closed fields.
>  Algorithmic number theory (Sydney, 2002),
>  491--505, Lecture Notes in Comput. Sci., 2369, Springer, Berlin,
> 2002.
>
> For primary decomposition:
>
> MR2167699 (2006f:13023)  Steel, Allan . Conquering inseparability:
> primary decomposition and multivariate factorization over algebraic
> function fields of positive characteristic.
>  J. Symbolic Comput.  40  (2005),  no. 3, 1053--1075.
>
> although for the application under consideration here, you've probably
> already lost when you run into inseparability problems.
>
>
>
> > William
>
> > > --
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>
> > --
> > William Stein
> > Professor of Mathematics
> > University of Washingtonhttp://wstein.org

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