A₄ · Neutral gradings
7 neutral gradings · KL, Fourier, Arthur packets
| Ambient orbit | KL block sizes | Arthur parameters | Parameters in packets | Graded orbits | Local systems |
|---|---|---|---|---|---|
| 11111 | 1 × 1 | 1 | 1 | 1 | 1 |
| 2111 | 2 × 2 | 2 | 2 | 2 | 2 |
| 221 | 3 × 3 | 3 | 3 | 3 | 3 |
| 311 | 5 × 5 | 3 | 3 | 5 | 5 |
| 32 | 8 × 8 | 4 | 4 | 8 | 8 |
| 41 | 8 × 8 | 2 | 2 | 8 | 8 |
| 5 | 16 × 16, 1 × 1, 1 × 1, 1 × 1, 1 × 1 | 2 | 6 | 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.