  We construct finite dimensional representations of the Kauffman bracket skein
algebra of the one-punctured torus and four-punctured sphere at all roots of
unity. The representations are given by explicit formulas. They all have
dimensions equal to the PI degrees of the skein algebras, and they realize all
classical shadows. We then use the reducibility of these representations to
determine the Azumaya loci. In particular, the Azumaya loci of these surfaces
contain the smooth loci of the classical shadow varieties, with equality in the
case of the one-punctured torus and proper containment in the case of the
four-punctured sphere.
