Some integrals ocurring in a topology change problem

In a paper presented a few years ago, De Lorenci et al. showed, in thecontext of canonical quantum cosmology, a model which allowed space topologychanges (Phys. Rev. D 56, 3329 (1997)). The purpose of this present work is togo a step further in that model, by performing some calculations only estimatedthere for several compact manifolds of constant negative curvature, such as theWeeks and Thurston spaces and the icosahedral hyperbolic space (Best space)