  We find explicit maximal rank Coxeter quotients for the knot groups of
595,515 out of the 1,701,936 knots through 16 crossings. We thus calculate the
bridge numbers and verify Cappell and Shaneson's Meridional Rank Conjecture for
these knots. In addition, we provide a computational tool for establishing the
conjecture for knots beyond 16 crossings whose meridional ranks can be detected
via finite Coxeter quotients.
