 $g^{(\alpha, \beta)}_{\lambda}(x_0, x_0, \ldots)$ is a symmetric function satisfying the duality $\omega(g^{(\alpha, \beta)}_{\lambda}) = g^{(\beta, \alpha)}_{\lambda'}$.  \(0) at ( 0, 0) [0]{}; (0) at ( 0, 0) [0]{}; (0) at ( 0, 0) [0]{}; (0) at ( 0, 0) [0]{}; (0) at ( 0, 0) [0]{}; (0) at ( 0, 0) [0]{}; (0) at ( 0, 0) [0]{}; (0) at ( 0, 0) [0]{}; (0) at ( 0, 0) [0]{}; (00) at ( 00, 0) [0]{}; (00) at ( 00, 0) [0]{}; (00) at ( 00, 0) [0]{};  \(c) at (-0.0, 0) [(a)]{};  \(00) at ( 0, 0) [0]{}; (00) at ( 0, 0) [0]{}; (00) at ( 0, 0) [0]{}; (00) at ( 0, 0) [0]{}; (00) at ( 0, 0) [0]{}; (00) at ( 0, 0) [0]{}; (00) at ( 0, 0) [0]{}; (00) at ( 0, 0) [0]{}; (00) at ( 0, 0) [0]{};  \(00) at ( 0, -0) [0]{}; (00) at ( 0, -0) [0]{}; (00) at ( 0, -0) [0]{}; (00) at ( 0, -0) [0]{}; (00) at ( 0, -0) [0]{}; (00) at ( 0, -0) [0]{}; (00) at ( 0, -0) [0]{}; (00) at ( 0, -0) [0]{}; (00) at ( 0, -0) [0]{};  \(00) at ( 0, -0) [0]{}; (00) at ( 0, -0) [0]{}; (00) at ( 0, -0) [0]{}; (00) at ( 0, -0) [0]{}; (00) at ( 0, -0) [0]{}; (00) at ( 0, -0) [0]{}; (00) at ( 0, -0) [0]{}; (00) at ( 0, -0) [0]{};  \(00) at ( 0, -0) [0]{}; (00) at ( 0, -0) [0]{}; (00) at ( 0, -0) [0]{}; (00) at ( 0, -0) [0]{}; (00) at ( 0, -0) [0]{};  \(00) at ( 0, -0) [0]{}; (00) at ( 0, -0) [0]{}; (00) at ( 0, -0) [0]{};  (0.0, 0.0) to (0.0, -0.0) to (0.0, -0.0) to (0.0, -0.0) to (0.0, -0.0) to (0.0, -0.0) to (0.0, -0.0) to (0.0, -0.0) to (0.0, -0.0) to (0.0, 