Conjugates

<text size="0.8em">Working with complex numbers? See conjugates (Complex number) </text>

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.

abstract_algebra.conjugates2.calc.png