  We find uniform asymptotic formulas for all the eigenvalues of certain
7-diagonal symmetric Toeplitz matrices of large dimension. The entries of the
matrices are real and we consider the case where the real-valued generating
function such that its first five derivatives at the one endpoint of interval
are equal zero. This is not the simple-loop case considered earlier. We obtain
nonlinear equations for the eigenvalues. It should be noted that our equations
have a more complicated structure than the equations for the simple loop case.
