Tables and computational data

Graded Kazhdan–Lusztig Atlas

A₃ · Neutral gradings

5 neutral gradings · KL, Fourier, Arthur packets

Ambient orbitKL block sizesArthur parametersParameters in packetsGraded orbitsLocal systems
11111 × 11111
2112 × 22222
223 × 3, 1 × 13434
315 × 5, 1 × 13456
48 × 8, 2 × 2, 1 × 1, 1 × 126812

Counting conventions

Matrix dimensions are listed separately for each block. Parameters in packets counts distinct IC parameters, without multiplicities or repeated membership. Local systems counts orbit–local-system pairs across all exported series. “Not computed” means that the selected export does not contain that result, rather than a count of zero.