  We study the large class of solvable lattice models, based on the data of
conformal field theory.
  These models are constructed from any conformal field theory.
  We consider the lattice models based on affine algebras described by Jimbo et
al., for the algebras $ABCD$ and by Kuniba et al. for $G_2$. We find a general
formula for the crossing multipliers of these models. It is shown that these
crossing multipliers are also given by the principally specialized characters
of the model in question. Therefore we conjecture that the crossing multipliers
in this large class of solvable interaction round the face lattice models are
given by the characters of the conformal field theory on which they are based.
We use this result to study the local state probabilities of these models and
show that they are given by the branching rule, in regime III.
