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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

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