Variational bounds for the Reid soft core and Argonne V/sub 14/ potentials are extended through the J = 8 partial waves of those nucleon-nucleon forces using Faddeev wave functions calculated with the Jless than or equal to4 partial waves. We verify our previous conjecture that the additional components add roughly 10 keV to the binding energy, and that the convergence of the binding energy with respect to the nucleon-nucleon partial-wave angular momentum is roughly geometrical.