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# Conjugates

From OeisWiki

**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.

### Properties

and

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.