  Numerical experiences are reported with overlap fermions which employ the
Brillouin action as a kernel. After discussing the dispersion relations of both
the kernel and the resulting chiral action, some of the physics features are
addressed on quenched backgrounds. We find that the overlap with Brillouin
kernel is much better localized than the overlap with Wilson kernel. Also a
preliminary account is given of the cost of the formulation, in terms of CPU
time and memory.
