  The multiplicity Tutte polynomial, which includes the arithmetic Tutte
polynomial, is a generalization of the classical Tutte polynomial of matroids.
In this paper, we obtain an expression of the general coefficient and the
expressions of six extreme coefficients of multiplicity Tutte polynomials. In
particular, an expression of the general coefficient and the expressions of
corresponding extreme coefficients of classical Tutte polynomial of matroids
are deduced.
