linguistic:voice_change
Examples

The field K = Q / (x 6 − 2) = Q (θ) {\displaystyle K=\mathbb {Q} /(x^{6}-2)=\mathbb {Q} (\theta)} for θ = ζ 2 6 {\displaystyle \theta =\zeta {\sqrt{2}}} where ζ {\displaystyle \zeta } is a fixed 6th root of unity, provides a rich example for constructing explicit real and complex Archimedean embeddings, and non-Archimedean embeddings as well.