A₅ · Neutral gradings
11 neutral gradings · KL, Fourier, Arthur packets
| Ambient orbit | KL block sizes | Arthur parameters | Parameters in packets | Graded orbits | Local systems |
|---|---|---|---|---|---|
| 111111 | 1 × 1 | 1 | 1 | 1 | 1 |
| 21111 | 2 × 2 | 2 | 2 | 2 | 2 |
| 2211 | 3 × 3 | 3 | 3 | 3 | 3 |
| 222 | 4 × 4, 1 × 1 | 4 | 5 | 4 | 5 |
| 3111 | 5 × 5 | 3 | 3 | 5 | 5 |
| 321 | 10 × 10, 1 × 1 | 6 | 7 | 10 | 11 |
| 33 | 10 × 10, 1 × 1, 1 × 1 | 3 | 5 | 10 | 12 |
| 411 | 8 × 8 | 2 | 2 | 8 | 8 |
| 42 | 18 × 18, 2 × 2, 1 × 1, 1 × 1 | 6 | 10 | 18 | 22 |
| 51 | 20 × 20, 1 × 1, 1 × 1 | 2 | 2 | 20 | 22 |
| 6 | 32 × 32, 4 × 4, 2 × 2, 2 × 2, 1 × 1, 1 × 1 | 2 | 10 | 32 | 42 |
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.