> At the end of the Summer of Code, I thought that the polynomial
> algorithms were so slow, because they carry (complicated) SymPy
> objects as coefficients. That's why I played around with a more light-
> weight univariate Polynomial class. First, with the finite fields
> coefficients, I was quite satisfied, also with factorization. But when
> I tried to lift the results to (Python) integer coefficients, it got
> incredibly slow. I took the algorithms 'out of the book', so I'm sure
> that improvement is possible. I think that this improvement would help
> asymptotically, rather, and the algorithms already take very long with
> small example polynomials. Initially I'd planned to do another
> (multivariate) gcd and factorization as well, but I didn't try,
> because the simpler univariate factorization was just disappointing.
>
> The book "Modern Computer Algebra" is a great reference for all of
> this, you rarely need anything else for this.

I see. Thanks for the update. I think we can get some help from the
SAGE guys, how to do this properly and which algorithm is the best.

Ondrej

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