  Computer algebra methods are applied to investigation of spectral asymptotics
of elliptic differential operators on curved manifolds with torsion and in the
presence of a gauge field. In this paper we present complete expressions for
the second coefficient (E_2) in the heat kernel expansion for nonminimal
operator on manifolds with nonzero torsion. The expressions were computed for
general case of manifolds of arbitrary dimension n and also for the most
important for E_2 case n=2. The calculations have been carried out on PC with
the help of a program written in C.
