  In this paper we develop a technique for determining the algebraic
classification of a numerical spacetime, possibly resulting from a generic
black-hole-binary merger, using the Newman-Penrose Weyl scalars. We demonstrate
these techniques for a test case involving a close binary with arbitrarily
oriented spins and unequal masses. We find that, post merger, the spacetime
quickly approaches Petrov type II, and only approaches type D on much longer
timescales. These techniques allow us to begin to explore the validity of the
"no-hair theorem" for generic merging-black-hole spacetimes.
