This seems to work, though I don't know exactly what you want to do with it.

sage: K.<x,y> = ZZ[]
sage: n=13*random_prime(2**50)
sage: f=x^2+x+1
sage: Kquo = K.quo(K.ideal(n,f))
sage: Kquo
Quotient of Multivariate Polynomial Ring in x, y over Integer Ring by the
ideal (10233078999195559, x^2 + x + 1)
sage: Kquo(x^2)
-xbar - 1

David

On Mon, Jun 17, 2024 at 10:05 AM Georgi Guninski <ggunin...@gmail.com>
wrote:

> This hurts me, so workaround is welcome.
>
>
> n=13*random_prime(2**20);Kyx.<x,y>=Integers(n)[];f=x^2+x+1;Kquo.<w1,w2>=Kyx.quotient(f);Kquo
> #pass
>
>
> n=13*random_prime(2**50);Kyx.<x,y>=Integers(n)[];f=x^2+x+1;Kquo.<w1,w2>=Kyx.quotient(f);Kquo
> TypeError: Can only reduce polynomials over fields.
>
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