 Quadratic Gaussian period in the seventh cyclotomic field

ID: quadratic-gaussian-period-in-the-seventh-cyclotomic-field

Codex  0 Created 2026-09-24 Updated 2026-09-24

The unique quadratic subfield of

Q (ζ_{7})

Q (η) = Q (- 7), η = \frac{- 1 + - 7}{2} .

The conjugate period is

- 1 - η

, and

m_{η, Q} (X) = X^{2} + X + 2.

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