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Koide formulas for charged leptons and neutrinos using circulant (or "1-circulant") matrices. (If you got to this website from the link in the paper "Neutrino Mass and New Physics" by R. N. Mohapatra and A. Y. Smirnov, Annual Reviews of Nuclear and Particle Science, 56 (2006) 569-628, then this is the unpublished paper you're looking for.



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