  We show that the second coefficient of the Conway knot polynomial is
annihilated by the Hamiltonian constraint of canonically quantized general
relativity in the loop representation. The calculations are carried out in a
fully regularized lattice framework. Crucial to the calculation is the explicit
form of the skein relations of the second coefficient, which relate it to the
Gauss linking number. Contrary to the lengthy formal continuum calculation, the
rigorous lattice version can be summarized in a few pictures.
