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Conjugates of an irreducible polynomial of degree appear in sets containing elements.

Quadratic conjugates

Quadratic conjugates are pairs of quadratic numbers and . The quadratic conjugate of a quadratic number is defined as

where is the discriminant of a quadratic polynomial.



The case gives complex conjugates.

Quadratic norm

The quadratic norm (i.e. the norm of a quadratic number) is defined as

The case gives the complex norm.