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We extend a fermion mass matrix Ansatz by Giuduce to include neutrino masses.The previous predictions are maintained. With two additional parameters, alarge Majorana neutrino mass and a hierarchy factor, we have seven {\itfurther} low energy predictions: the masses of the neutrinos, the mixing anglesand the phase in the leptonic sector. We choose a reasonable hierarchy ofMajorana masses and fit the overall mass scale according to a solution of thesolar neutrino problem via the MSW mechanism, which is in agreement with the$^{37}Cl$, Kamiokande, and GALLEX data. We then also obtain a cosmologicallyinteresting tau-neutrino mass.Comment: 8 pages, Oxford preprint OUTP-92-26P; full set of Latex Macros now  supplied; no figure

ANSATZ FOR QUARK, CHARGED LEPTON, AND NEUTRINO MASSES IN SUSY GUTs