B₄ · Neutral gradings
13 neutral gradings · KL, Fourier, Arthur packets
| Ambient orbit | KL block sizes | Arthur parameters | Parameters in packets | Graded orbits | Local systems |
|---|---|---|---|---|---|
| 111111111 | 1 × 1 | 1 | 1 | 1 | 1 |
| 2211111 | 2 × 2 | 2 | 2 | 2 | 2 |
| 3111111 | 4 × 4 | 3 | 4 | 3 | 4 |
| 22221 | 3 × 3, 1 × 1 | 3 | 4 | 3 | 4 |
| 32211 | 8 × 8, 1 × 1 | 6 | 9 | 6 | 9 |
| 33111 | 9 × 9, 1 × 1 | 6 | 10 | 6 | 10 |
| 333 | 8 × 8 | 4 | 6 | 6 | 8 |
| 51111 | 8 × 8 | 2 | 4 | 6 | 8 |
| 441 | 6 × 6, 2 × 2 | 2 | 4 | 6 | 8 |
| 522 | 8 × 8, 2 × 2 | 4 | 6 | 8 | 10 |
| 531 | 20 × 20, 1 × 1, 4 × 4 | 9 | 20 | 14 | 25 |
| 711 | 16 × 16, 2 × 2 | 2 | 4 | 12 | 18 |
| 9 | 16 × 16, 4 × 4 | 2 | 4 | 16 | 20 |
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.