H^{*}_{\lambda}=\left(\prod_{i=1}^{k}n_{i}!\right)\prod_{i&lt;j}\frac{n_{i}+n_{j}%&#10;}{n_{i}-n_{j}}=2^{-\frac{k}{2}}\sqrt{H_{\tilde{\lambda}}},\quad\frac{1}{\sqrt{%&#10;H_{\tilde{\lambda}}}}=\sqrt{s_{\tilde{\lambda}}({\bf t}_{\infty})}=2^{-\frac{k%&#10;}{2}}Q_{\lambda}(\frac{{\bf t}_{\infty}}{2})