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Conjugates

Note

Working with complex numbers? See Conjugates (complex number).

The conjugates or Galois conjugates of an algebraic element $α$ , over a field extension $L / K$ , are the roots of the minimal polynomial of $α$ over $K$ .

Syntax

conjugates(Element, Field)

conjugates(Element)

Description

Given an element $α$ and a field $K$ , returns a list with the conjugates (the element included) of the element $α$ over the base field $K$ of the extension $L / K$ .

abstract_algebra.conjugates1.calc.png

Given an element $α$ , returns a list with the conjugates (the element included) of the element $α$ over the absolute extension.

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