  The stretching and bending vibrations of methane are studied in a local
anharmonic model of molecular vibrations. The use of symmetry-adapted operators
reduces the eigenvalue problem to block diagonal form. For the 44 observed
energies we obtain a fit with a standard deviation of 0.81 cm$^{-1}$ (and a
r.m.s. deviation of 1.16 cm$^{-1}$).
