B₆ · Neutral gradings
35 neutral gradings · KL, Fourier, Arthur packets
| Ambient orbit | KL block sizes | Arthur parameters | Parameters in packets | Graded orbits | Local systems |
|---|---|---|---|---|---|
| 1111111111111 | 1 × 1 | 1 | 1 | 1 | 1 |
| 22111111111 | 2 × 2 | 2 | 2 | 2 | 2 |
| 31111111111 | 4 × 4 | 3 | 4 | 3 | 4 |
| 222211111 | 3 × 3 | 3 | 3 | 3 | 3 |
| 2222221 | 4 × 4, 1 × 1 | 4 | 5 | 4 | 5 |
| 322111111 | 8 × 8 | 6 | 8 | 6 | 8 |
| 331111111 | 9 × 9 | 6 | 9 | 6 | 9 |
| 511111111 | 8 × 8 | 2 | 4 | 6 | 8 |
| 3222211 | 12 × 12, 1 × 1 | 9 | 13 | 9 | 13 |
| 3322111 | 18 × 18, 1 × 1 | 12 | 19 | 12 | 19 |
| 3331111 | 16 × 16, 1 × 1 | 10 | 17 | 10 | 17 |
| 33322 | 16 × 16 | 8 | 12 | 12 | 16 |
| 4411111 | 6 × 6 | 2 | 2 | 6 | 6 |
| 5221111 | 16 × 16 | 4 | 8 | 12 | 16 |
| 33331 | 17 × 17 | 9 | 15 | 11 | 17 |
| 52222 | 12 × 12, 2 × 2 | 6 | 8 | 12 | 14 |
| 5311111 | 25 × 25, 1 × 1 | 9 | 19 | 16 | 26 |
| 44221 | 13 × 13, 2 × 2 | 6 | 8 | 13 | 15 |
| 7111111 | 16 × 16 | 2 | 4 | 12 | 16 |
| 44311 | 24 × 24, 2 × 2 | 6 | 10 | 18 | 26 |
| 53221 | 40 × 40, 2 × 2, 4 × 4 | 18 | 36 | 28 | 46 |
| 53311 | 49 × 49, 2 × 2, 4 × 4 | 21 | 47 | 29 | 55 |
| 544 | 24 × 24, 4 × 4 | 4 | 8 | 24 | 28 |
| 55111 | 34 × 34, 1 × 1 | 3 | 8 | 22 | 35 |
| 72211 | 32 × 32, 2 × 2 | 4 | 8 | 24 | 34 |
| 553 | 46 × 46, 2 × 2, 5 × 5 | 10 | 25 | 32 | 53 |
| 73111 | 50 × 50, 2 × 2, 2 × 2 | 6 | 16 | 32 | 54 |
| 661 | 20 × 20, 3 × 3 | 2 | 4 | 20 | 23 |
| 733 | 54 × 54, 2 × 2 | 6 | 16 | 38 | 56 |
| 91111 | 32 × 32 | 2 | 4 | 24 | 32 |
| 751 | 73 × 73, 4 × 4, 8 × 8 | 6 | 22 | 51 | 85 |
| 922 | 32 × 32, 4 × 4 | 4 | 6 | 32 | 36 |
| 931 | 80 × 80, 4 × 4, 8 × 8 | 6 | 18 | 56 | 92 |
| (11,1,1) | 64 × 64, 4 × 4 | 2 | 4 | 48 | 68 |
| (13) | 64 × 64, 8 × 8 | 2 | 4 | 64 | 72 |
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.