On Mon, Oct 19, 2009 at 8:47 AM, Pierre <pierre.guil...@gmail.com> wrote:
>
> Thanks. This works, but it is sooooo very slow :
>
> sage: foo= (x0 + x1 + x2 + x3)^1;
> sage.libs.symmetrica.all.t_POLYNOM_ELMSYM( foo )
> e[1]  #immediate
>
> sage: foo= (x0 + x1 + x2 + x3)^2;
> sage.libs.symmetrica.all.t_POLYNOM_ELMSYM( foo )
> e[1, 1] #also immediate
>
> sage: foo= (x0 + x1 + x2 + x3)^3;
> sage.libs.symmetrica.all.t_POLYNOM_ELMSYM( foo )
> #nothing after several minutes, i had to go C-c (on a macbook)
>
> My original polynomial just about fits on the screen, so needless to
> say after 30 minutes i had nothing.
>
> Is this normal ? Using groebner basis techniques my guess is that
> things should not quite be that slow.

Isn't this also linear algebra problem?   I.e., isn't it just solving
a system of linear equations over QQ?  If so, it should be possible to
do it in a reasonable amount of time in Sage even if the basis
symmetric polynomials has around 1000 elements.

 - William

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