B₅ · Neutral gradings
21 neutral gradings · KL, Fourier, Arthur packets
| Ambient orbit | KL block sizes | Arthur parameters | Parameters in packets | Graded orbits | Local systems |
|---|---|---|---|---|---|
| 11111111111 | 1 × 1 | 1 | 1 | 1 | 1 |
| 221111111 | 2 × 2 | 2 | 2 | 2 | 2 |
| 311111111 | 4 × 4 | 3 | 4 | 3 | 4 |
| 2222111 | 3 × 3 | 3 | 3 | 3 | 3 |
| 3221111 | 8 × 8 | 6 | 8 | 6 | 8 |
| 32222 | 6 × 6, 1 × 1 | 6 | 7 | 6 | 7 |
| 3311111 | 9 × 9 | 6 | 9 | 6 | 9 |
| 5111111 | 8 × 8 | 2 | 4 | 6 | 8 |
| 33221 | 14 × 14, 1 × 1 | 10 | 15 | 10 | 15 |
| 33311 | 14 × 14, 1 × 1 | 9 | 15 | 9 | 15 |
| 44111 | 6 × 6 | 2 | 2 | 6 | 6 |
| 52211 | 16 × 16 | 4 | 8 | 12 | 16 |
| 443 | 12 × 12, 2 × 2 | 4 | 6 | 12 | 14 |
| 53111 | 25 × 25, 1 × 1 | 9 | 19 | 16 | 26 |
| 533 | 27 × 27, 1 × 1, 2 × 2 | 10 | 21 | 19 | 30 |
| 71111 | 16 × 16 | 2 | 4 | 12 | 16 |
| 551 | 27 × 27, 1 × 1 | 3 | 8 | 19 | 28 |
| 722 | 16 × 16, 2 × 2 | 4 | 6 | 16 | 18 |
| 731 | 40 × 40, 2 × 2, 4 × 4 | 6 | 18 | 28 | 46 |
| 911 | 32 × 32 | 2 | 4 | 24 | 32 |
| (11) | 32 × 32, 4 × 4 | 2 | 4 | 32 | 36 |
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.