  In "The {G}el'fand-{K}alinin-{F}uks class and characteristic classes of
transversely symplectic foliations" arXiv:0910.3414, Kotschick and Morita
showed that the Gel'fand-Kalinin-Fuks class in $\ds\HGF{7}{2}{}{8}$ is
decomposed as a product $\eta\wedge \omega$ of some leaf cohomology class
$\eta$ and a transverse symplectic class $\omega$. We show that the same
formula holds for Metoki class, which is a non-trivial element in $\ds
\HGF{9}{2}{}{14}$. The result was conjectured by Kotschick and Morita, where
they studied characteristic classes of symplectic foliations due to Kontsevich.
Our proof depends on Groebner Basis theory using computer calculations.
