H λ * = ( ∏ i = 1 k n i ! ) ∏ i Unknown character j n i + n j n i − n j = 2 − k 2 H λ ˜ , 1 H λ ˜ = s λ ˜ ( t ∞ ) = 2 − k 2 Q λ ( t ∞ 2 ) H^{*}_{\lambda}=\left(\prod_{i=1}^{k}n_{i}!\right)\prod_{i<j}\frac{n_{i}+n_{j}}{n_{i}-n_{j}}=2^{-\frac{k}{2}}\sqrt{H_{\tilde{\lambda}}},\quad\frac{1}{\sqrt{H_{\tilde{\lambda}}}}=\sqrt{s_{\tilde{\lambda}}({\bf t}_{\infty})}=2^{-\frac{k}{2}}Q_{\lambda}(\frac{{\bf t}_{\infty}}{2})