  We compute the homology of the first and third quadrants of the complexes of
finite Verma modules over the annihilation superalgebra
$\mathcal{A}(CK_{6})\cong E(1,6)$, associated with the conformal superalgebra
$CK_6$, obtained in \cite{ck6}. This computation allows us to explicitly
realize the irreducible quotients of degenerate finite Verma modules over
$\mathcal{A}(CK_{6})$.
