  In their precedent work, the authors constructed closed oriented hyperbolic
surfaces with pseudo-Anosov homeomorphisms from certain class of integral
matrices. In this paper, we present a very simple algorithm to compute the
Teichmueller polynomial corresponding to those surface homeomorphisms by first
constructing an invariant track whose first homology group can be naturally
identified with the first homology group of the surface, and computing its
Alexander polynomial.
