Tables and computational data

Graded Kazhdan–Lusztig Atlas

B₃ · Neutral gradings

7 neutral gradings · KL, Fourier, Arthur packets

Ambient orbitKL block sizesArthur parametersParameters in packetsGraded orbitsLocal systems
11111111 × 11111
221112 × 22222
311114 × 43434
3224 × 4, 1 × 14545
3317 × 7, 1 × 15858
5118 × 82468
78 × 8, 2 × 224810

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.