OurBigBook.comSite Source code

Real cubic subfield of the seventh cyclotomic field ( $θ = ζ_{7} + ζ_{7}^{- 1}$ )

The unique cubic subfield is the maximal real subfield

Q (θ), θ = ζ_{7} + ζ_{7}^{- 1},

and

m_{θ, Q} (X) = X^{3} + X^{2} - 2 X - 1.

It is the fixed field of complex conjugation.

 Ancestors (8)

 Incoming links (1)

Solution