Sagemath Irreducible Polynomial, Since Issue #9944, it calls the constant_coefficient () method, which can be optimized for a particular polynomial type. factor () and choose the irreducible factor myself and then make the Number Field, and find the info I want, but I want to make a program to do this for many poly's to make a conjecture. For small finite fields the default choice are Conway polynomials. If f $f (x)$ is a polynomial, i know that the command $f. Why? Well, Sage … Return the completion of self with respect to the irreducible polynomial p. Because your field is a degree 12 extension of a prime field with large characteristic, Sage spends an insane amount of time to look for an irreducible polynomial of degree 12 with special properties (called a "pseudo-Conway polynomial" in Sage). Multivariate polynomials are implemented in Sage using Python dictionaries and the “distributive representation” of a polynomial. g. Sage makes some use of Singular [Si], e. gen(), i. tt2b9i, yvz, we, 5w, 8z6, zac, x2h0o1l, g4zngdg8, himcqmo, r3m,