On Dec 31, 2007, at 5:00 PM, Kishore wrote:
> Hello ,
>
> I am new to SAGE and have installed the Windows version (along with
> VMWare).
> I am currently using SAGE for doing polynomial arithmetic over finite
> fields. I would be creating a script that interactively accepts
> polynomials from user and use the same to process it.
A better forum for support would probably be sage-support, however
I'm happy to answer your question.
> I am currently using the Python built-in IO function "input()" for
> accepting from the keyboard.
> Unfortunately, the entered polynomial will be stored as "string" type
> and I wouldn't be able to use it for Polynomial Arithmetic.
>
> What I seek is a means of converting this string to a standard
> polynomial type as in sage.rings.polynomial.
That depends on what kind of string you have. If it's something like
"x^4 - 3*x + 2" then you can do
sage: F = GF(7) # construct a finite field
sage: x = polygen(F, 'x') # or R.<x> = F['x']
sage: sage_eval('x^4 - 3*x + 2', {'x':x})
x^4 + 4*x + 2
> Also I would appreciate if you can enlighten me with the types of
> multivariate/univariate polynomial representations supported in SAGE.
Internally, single-variate polynomials over finite fields use NTL
(and, in the future FLINT), and multi-variate polynomials use Singular.
>
> Thanks in advance
>
> Best Regards
> Kishore
>
>
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