Dear Julian,

Thank you very much for your help. It seems like an error to me too.
I am using your solution in my code and is working nicely.

Should we report this error in any other place?

Thank you again,

Rafael

On Jul 25, 4:42 pm, Julian Rüth <julian.ru...@gmail.com> wrote:
> Apparently, this is caused by a problem in degree() which is used in
> polynomial(). In your example:
>
> sage: pol2.degree(q)
> 0
> sage: pol2.degree(p)
> 3
>
> You get the expected behavior if you bring q into pol2.parent()
> explicitly:
>
> sage: q=pol2.parent()(q)
> sage: pol2.degree(q),pol2.polynomial(q)
> (3, 4*q^3 + 3*q + 2)
>
> So, this seems like an error to me. In the implementation of degree()
> the line reading
>
> return singular_polynomial_deg(p, (<MPolynomial_libsingular>x)._poly, r)
>
> should probably be changed (x is the generator passed to the method).
> But maybe somebody who knows more about the singular/sage connection can
> say more about this.
>
> cheers,
> julian
>
> * rafaeldleon <rafaeldl...@gmail.com> [2011-07-25 12:31:29 -0700]:
>
>
>
>
>
>
>
> > Hello all,
>
> > I don t know if the following is an error in the implementation of the
> > method polynomial
> > or if I am using it in a way that is not intended, but it seems that
> > the use of the method
> > polynomial changes when I am in a polynomial ring with 2 or with 3
> > variables.
>
> > pol and pol2 are the "same" polynomial in rings with 3 or 2 variables
> > resp. and
> > the method pol.polynomial(q) and pol2.polynomial(q) return different
> > answers.
>
> > sage: R.<p,q,t>=ZZ[]
> > sage: pol=2+3*q+4*q^3;pol
> > 4*q^3 + 3*q + 2
> > sage: parent(pol)
> > Multivariate Polynomial Ring in p, q, t over Integer Ring
> > sage: pol2=pol.polynomial(t).coefficients()[0];pol2
> > 4*q^3 + 3*q + 2
> > sage: parent(pol2)
> > Multivariate Polynomial Ring in p, q over Integer Ring
> > sage: pol2.polynomial(q)
> > 2
> > sage: pol.polynomial(q)
> > 4*q^3 + 3*q + 2
>
> > Can anyone give me some insight about why I am getting these
> > different answers?
>
> > Thanks!
>
> > Rafael
>
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