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= Algebraic conjugate
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The <algebraic conjugates> of an <algebraic element> over a <field> $K$ are the <polynomial roots> of its <algebraic minimal polynomial> over $K$ in an <algebraic closure>.

The <algebraic conjugates> of an <algebraic number> are the <polynomial roots> of its <algebraic minimal polynomial>, equivalently its images under <field embeddings> of its <number field> into an <algebraic closure>.


 Conjugate element (field theory) (source code)