# 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).

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

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).

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).