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Working with a presumed asymptotic series for lambda_d developed in previouswork, we make some intelligent guesses for lambda_d with d=3, 4, 5; andestimates for the corresponding errors. We present arguments in favor of theseguesses, we earnestly believe they will turn out to be correct. Suchapproximate values may help stimulate people working on rigorous bounds. Inaddition to suggesting bounds to prove, there will be the strong motivation toprove me wrong.

Dimer lambda_3 = .453 +/- .001 and Some Other Very Intelligent Guesses