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Published online by Cambridge University Press: 26 February 2010
Let K be an algebraic number field of degree n and discriminant d. Let K(1),…, K(n) be the embeddings of the field. Then n = r1 + 2r2 where K(1), …, K(rl) are real and the remainder complex, satisfying
. The conjugates of the number μ in K(i) are denoted by μ(i.