  For N=1 supergravity in 3+1 dimensions we determine the graded algebra of the
quantized Lorentz generators, supersymmetry generators, and diffeo-morphism and
Hamiltonian generators and find that, at least formally, it closes in the
chosen operator ordering. Following our recent conjecture and generalizing an
ansatz for Bianchi-type models we proposed earlier we find an explicit exact
quantum solution of all constraints in the metric representation.
