  A well-known question asks whether any two non-isometric finite volume
hyperbolic 3-manifolds are distinguished from each other by the finite
quotients of their fundamental groups. At present, this has been proved only
when one of the manifolds is a once-punctured torus bundle over the circle. We
give substantial computational evidence in support of a positive answer, by
showing that no two manifolds in the SnapPea census of 72 942 finite volume
hyperbolic 3-manifolds have the same finite quotients.
