On Thu, Dec 4, 2008 at 1:48 PM, Alex Raichev <[EMAIL PROTECTED]> wrote:
>
> Thanks for your help, Carl.  Where did you find the documentation for
> the command number_field_elements_from_algebraics(c)?

I'm guessing Carl knew about that command since he implemented it.

Typing

sage: help(sage.rings.qqbar)

in Sage is pretty helpful too.

>    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

Awesome.  I hope you get said next job!

 -- William

>
> 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
> >
>



-- 
William Stein
Associate Professor of Mathematics
University of Washington
http://wstein.org

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