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MR2082091 (2005h:11238) 11R04 (11R32 12E25 12F12)
Berry, Neil; Dubickas, Artūras; Elkies, Noam D.; Poonen, Bjorn; Smyth, Chris The conjugate dimension of algebraic numbers. Q. J. Math. 55 (2004), no. 3, 237–252.
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