  More analysis of operator determinants on homogeneous three dimensional lens
spaces is presented with the emphasis on numerics so that Laplacians for
massive fields can be dealt with. Polyhedral quotients are also briefly
considered. Twisted fields, corresponding to flat connections, are looked at
and examples of determinants computed. Twisted cyclic quantities are sufficient
to determine those for any twisting on any factor. An application to the
thermodynamics on sphere quotients is given. Some computations are made for
inhomogeneous lens spaces and higher dimensions are commented on. Minimal
coupling is also dealt with.
