Thanks for your help, Carl. Where did you find the documentation for
the command number_field_elements_from_algebraics(c)?
Yes, i'd find it very useful to have ideal and variety
computations over QQbar implemented. I don't have the know-how or the
time at present to do this myself, but i am learning more about Sage
every day and my next job might support this endeavor more than my
present one. So perhaps in the future i can work on this.
Alex
On Dec 4, 9:31 am, Carl Witty <[EMAIL PROTECTED]> wrote:
> On Nov 30, 1:27 pm, Alex Raichev <[EMAIL PROTECTED]> wrote:
>
> > > It would be helpful if you could give a more concrete example, e.g., a
> > > session
> > > where you have some elements, and finally want to do something with them.
>
> > That's good idea, William. Let me back up to and change my question
> > to a more fundamental one. How does one compute in QQbar with Sage?
> > For example, how about factoring a polynomial, computing a radical
> > ideal, or computing a variety (see below)? I get the same error for
> > all these: "no conversion of this ring to a Singular ring defined".
>
> > Alex
>
> None of these things are implemented for polynomials over QQbar; and
> as far as I know there are no plans to implement them.
>
> Simpler variants of a couple of your problems are implemented:
>
> For univariate polynomials, you can find the roots with .roots
> (ring=QQbar), and it's trivial to compute the factorization from
> there.
>
> You can compute the variety (over QQbar) of a zero-dimensional ideal
> of polynomials with rational coefficients, using .variety(ring=QQbar).
>
> It would be great to have more functionality implemented for
> polynomials over QQbar; is that something you would be interested in
> contributing?
>
> Carl
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