  In this paper we give a combinatorial parametrization of leading terms of
defining relations for level $k$ standard modules for affine Lie algebra of
type $C_{n}\sp{(1)}$. Using this parametrization we conjecture colored
Rogers-Ramanujan type combinatorial identities for $n\geq 2$ and $k\geq 2$; the
identity in the case $n=k=1$ is equivalent to one of Capparelli's identities.
