Modified tetrahedron equation and related 3D integrable models .2.

This work is a continuation of Ref. 13, where the Boltzmann weights for the N-state integrable spin model on the cubic lattice has been obtained only numerically. In this paper we present the analytical formulae for this model in a particular case. Here the Boltzmann weights depend on six free parameters including the elliptic modulus. The obtained solution allows us to construct a two-parametric family of the commuting two-layer transfer matrices. The presented model is expected to be simpler for a further investigation in comparison with a more general model mentioned above.