A general formalism for covariant W3 string scattering is given. It is
found necessary to use screening charges that are constructed from th
e W3 fields including ghosts. The scattering amplitudes so constructed
contain within them Ising model correlation functions and agree with
those found previously by the authors. Using the screening charge and
a picture-changing operator, an infinite number of states in the cohom
ology of Q are generated from only three states. We conjecture that, a
part from discrete states, these are all the states in the cohomology
of Q.