  In this paper we investigate some particular spin lattice (a higher
dimensional generalization of a spin chain) related to Zamolodchikov model, in
the limit when both sizes of the lattice tend to infinity. An infinite set of
bilinear equations, describing a distribution of eigenvalues of infinite set of
mutually commuting operators, is derived. The distribution for the maximal
eigenvalues is obtained explicitly. The way to obtain the excitations is
discussed.
