(n)} \\ =&  \left\langle \prod_{i=0}^L  \Psi^{{\mathrm{A}}}(\bz^{-0};\eta_i^{-0}) \cdot \prod_{i=0}^K  \Psi^{{\mathrm{A}}}(\bz;\eta_{L+i}) \right\rangle_{n,0} = \prod_{i=0}^L \eta_i^{-n} \cdot P_{(n^L)}^{{\mathrm{Jack}}} (\eta_0,\dots,\eta_{L+K};0