  Functional determinants for a single scalar field with negative mass squared
are evaluated on homogeneous lens spaces. For example, on even order spaces,
the Hartle--Hawking wave function oscillates about its zeros with increasing
amplitude as the (imaginary) mass increases. I also present results for the
binary tetrahedral, octahedral and icosahedral factors of the three--sphere.
The final answer is given as a quadrature and some graphs are drawn. In the
technical evaluation of the infinite sums, the explicit form of the
degeneracies is not needed.
