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Given a monic integer polynomial $p(x)$ in one variable $x$. Is it possible using Sage to obtain all absolute values of the roots of $p(x)$ in a list?

Or at least all absolute values of roots that have absolute value at most 2, if there general case is not possible and one needs a (small) bound.

In my work there appear polynomials with large degree up to 40-50 so Im not sure whether such a thing is quickly possible for nowadays computers. But a solution would also be interesting even when it works only for degrees up to 20 or so.

Given a monic integer polynomial $p(x)$ in one variable $x$. Is it possible using Sage to obtain all absolute values of the roots of $p(x)$ in a list?

Or (Or at least all absolute values of roots that have absolute value (say) at most 2, if there general case is not possible and one needs a (small) bound.bound.)

In my work there appear polynomials with large degree up to 40-50 so Im not sure whether such a thing is quickly possible for nowadays computers. But a solution would also be interesting even when it works only for degrees up to 20 or so.

Given a monic integer polynomial $p(x)$ in one variable $x$. Is it possible using Sage to obtain all absolute values of the roots of $p(x)$ in a list?

(Or at least all absolute values of roots that have absolute value (say) at most 2, if there general case is not possible and one needs a (small) bound.)

In my work there appear polynomials with large degree up to 40-50 so Im not sure whether such a thing is quickly possible for nowadays computers. But a solution would also be interesting even when it works only for degrees up to 20 or so.