  In this paper, we construct a double chain complex generated by certain
graphs and a chain map from that to the Chevalley-Eilenberg double complex of
the dgl of symplectic derivations on a free dgl. It is known that the target of
the map is related to characteristic classes of fibrations. We can describe
some characteristic classes of fibrations whose fiber is a 1-punctured
even-dimensional manifold by linear combinations of graphs though the
cohomology of the dgl of derivations.
