  A careful Monte Carlo investigation of the phase transition very close to the
critical point (T -> Tc, H -> 0) in relatively large d = 3, s = 1/2 Ising
lattices did produce critical exponents beta = 0.3126(4) =~ 5/16, delta^{-1} =
0.1997(4) =~ 1/5 and gamma_{3D} = 1.253(4) =~ 5/4. Our results indicate that,
within experimental error, they are given by simple fractions corresponding to
the linear interpolations between the respective two-dimensional (Onsager) and
four-dimensional (mean field) critical exponents. An analysis of our inverse
susceptibility data chi^{-1}(T) vs. /T - Tc/ shows that these data lead to a
value of gamma_{3D} compatible with gamma' = gamma and Tc = 4.51152(12), while
gamma values obtained recently by high and low temperature series expansions
and renormalization group methods are not.
