  Renteln proved that the eigenvalues of the distance matrix of a Cayley graph
of a real reflection group with respect to the set of all reflections are
integral and provided a combinatorial formula for some such spectra. We prove
the eigenvalues of the distance, adjacency, and codimension matrices of Cayley
graphs of complex reflection groups with connection sets consisting of all
reflections are integral and provide a combinatorial formula for the
codimension spectra for a family of monomial complex reflection groups.
