C₃ · Neutral gradings
8 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, 1 × 1 | 2 | 3 | 2 | 3 |
| 2211 | 4 × 4, 1 × 1 | 3 | 5 | 3 | 5 |
| 222 | 5 × 5, 2 × 2 | 4 | 7 | 4 | 7 |
| 33 | 3 × 3 | 2 | 2 | 3 | 3 |
| 411 | 4 × 4, 2 × 2 | 2 | 4 | 4 | 6 |
| 42 | 10 × 10, 4 × 4, 1 × 1 | 6 | 13 | 8 | 15 |
| 6 | 8 × 8, 4 × 4 | 2 | 4 | 8 | 12 |
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.