Irreducible polynomials

Computes all (if possible) irreducible polynomials in a field of the desired degree.

Syntax

irreducible_polynomials(Field, Integer, Identifier)
irreducible_polynomials(Field, Integer)
irreducible_polynomials(Integer, Field, Integer, Identifier)
irreducible_polynomials(Integer, Field, Integer)

Description

Given a field K, an integer n and an identifier t, computes all irreducible polynomials over K of degree n in the variable t (if possible).

abstract_algebra.irreducible_polynomials1.calc.png

Given a field K and an integer n, computes all irreducible polynomials over K of degree n (if possible).

abstract_algebra.irreducible_polynomials2.calc.png

Given an integer m, a field K, an integer n and an identifier t, computes m irreducible polynomials over K of degree n in the variable t (if possible).

abstract_algebra.irreducible_polynomials3.calc.png

Given an integer m, a field K, an integer n and an identifier t, computes m irreducible polynomials over K of degree n (if possible).

abstract_algebra.irreducible_polynomials4.calc.png