Tables and computational data

Graded Kazhdan–Lusztig Atlas

G₂ · Neutral gradings

5 neutral gradings · KL, Fourier, Arthur packets

Ambient orbitKL block sizesArthur parametersParameters in packetsGraded orbitsLocal systems
11 × 11111
A₁2 × 22222
\tilde A₁2 × 22222
G₂(a₁)5 × 5, 1 × 14646
G₂4 × 42244

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.