  We report on our progress in computing the excitation spectrum in Lattice
QCD. We focus on the isospin 0, 1 and 2 channels using the stochastic LapH
algorithm for the quark propagators. For the isospin-0 channel, a new glueball
operator constructed from the stochastic LapH operator is included in the
variational basis along with the isoscalar meson and pi-pi operators. A
representative signal for each channel is presented and the feasibility of
extending the calculations to larger lattices is discussed.
