  The free-induction decay (FID) of the transverse magnetization in a
dipolar-coupled rigid lattice is a fundamental problem in magnetic resonance
and in the theory of many-body systems. As it was shown earlier the FID shapes
for the systems of classical magnetic moments and for quantum nuclear spins
ones coincide if there are many quite equivalent nearest neighbors V in a solid
lattice. In this paper, we reduce a multispin density matrix of above system to
a two-spin matrix. Then we obtain analytic expressions for the mutual
information and the quantum and classical parts of correlations at the
arbitrary spin quantum number S, in the high-temperature approximation. The
time dependence of these functions is expressed via the derivative of the FID
shape. To extract classical correlations for S>1/2 we provide generalized POVM
measurement using the basis of spin coherent states. We show that in every pair
of spins the portion of quantum correlations changes from 1/2 to 1/(S+1) when S
is growing up, and quantum properties disappear completely only if S tend to
infinity and not in the case when V tend to infinity.
