  In this study, we present two results that relate Tutte polynomials. First,
we provide new and complete polynomial invariants for graphs. We note that the
number of variables of our polynomials is one. Second, let L_1 and L_2 be two
non-isomorphic lattices. We state that L_1 and L_2 are theta series equivalent
if those theta series are the same. The problem of identifying theta series
equivalent lattices is discussed in Prof.~Conway's book The Sensual (Quadratic)
Form with the title "Can You Hear the Shape of a Lattice?" In this study, we
present a method to find theta series equivalent lattices using matroids and
their Tutte polynomials.
