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Conjugates
Reading time: 1minNota
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.
Given an element α, returns a list with the conjugates (the element included) of the element α over the absolute extension.