The channel conjugation symmetry for the six-parameter solution

Let $\{d_\phi(\alpha)\}$ be a solution of the six-parameter channel equation, and let $\bar\phi$ denote the channel obtained by switching every upper assignment $U$ with the lower assignment $L$ and vice versa.

Channel conjugation symmetry. The transformed coefficients

$$d'_\phi(\alpha)=\alpha^3d_{\bar\phi}(\alpha^{-1})$$

form another solution. This is a symmetry of the explicitly studied six-parameter solution space, rather than a new global assertion about all Jack Littlewood–Richardson coefficients; the source presents it as a conjectural relation in its redundancy discussion.