We present shell model Monte Carlo calculations for nuclei in the full
major shell 50-82 for both protons and neutrons. For the interaction
we use a pairing plus quadrupole derived from a surface-peaked separab
le force. The methods are illustrated for Sn-124, Te-128, and Xe-124.
We calculate shape distributions, moments of inertia, and pairing corr
elations as functions of temperature and angular velocity. Our calcula
tions are the first microscopic evidence of gamma-softness of nuclei i
n this region.