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We compute the based rings of two-sided cells corresponding to the unipotentclass in $Sp_6(\mathbb C)$ with Jordan blocks (2211). The results also verifyLusztig's conjecture on the structure of the based rings of the two-sided cellsof an affine Weyl group.

The Based Rings of Two-sided cells in an Affine Weyl group of type $\tilde B_3$, III