Black hole quasi-normal mode spectroscopy with LISA

We present an improved estimate of the signal-to-noise ratio (SNR) from the ring-down phase of coalescing equal mass black hole binaries for the NASA/ESA space-borne interferometer LISA (Laser Interferometer Space Antenna). The usual angle-averaged expressions of spin-weighted spheroidal harmonics have been replaced by Monte-Carlo expressions, computed from randomly generated angles for detector--source directions and black hole orientations. For a given ``radiation efficiency" $\epsilon_{\rm rd}$, we use randomly generated ``radiation efficiency per polarization" $\epsilon^{+,\times}$ to estimate the non-angle-averaged, polarization- phase-dependent SNR for Schwarzschild and Kerr black holes.