A₆ · Neutral gradings
15 neutral gradings · KL, Fourier, Arthur packets
| Ambient orbit | KL block sizes | Arthur parameters | Parameters in packets | Graded orbits | Local systems |
|---|---|---|---|---|---|
| 1111111 | 1 × 1 | 1 | 1 | 1 | 1 |
| 211111 | 2 × 2 | 2 | 2 | 2 | 2 |
| 22111 | 3 × 3 | 3 | 3 | 3 | 3 |
| 31111 | 5 × 5 | 3 | 3 | 5 | 5 |
| 2221 | 4 × 4 | 4 | 4 | 4 | 4 |
| 3211 | 10 × 10 | 6 | 6 | 10 | 10 |
| 322 | 12 × 12 | 6 | 6 | 12 | 12 |
| 4111 | 8 × 8 | 2 | 2 | 8 | 8 |
| 331 | 13 × 13 | 5 | 5 | 13 | 13 |
| 421 | 18 × 18 | 6 | 6 | 18 | 18 |
| 43 | 32 × 32 | 4 | 4 | 32 | 32 |
| 511 | 20 × 20 | 2 | 2 | 20 | 20 |
| 52 | 32 × 32 | 4 | 4 | 32 | 32 |
| 61 | 32 × 32 | 2 | 2 | 32 | 32 |
| 7 | 64 × 64, 1 × 1, 1 × 1, 1 × 1, 1 × 1, 1 × 1, 1 × 1 | 2 | 8 | 64 | 70 |
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.