D₅ · Neutral gradings
16 neutral gradings · KL, Fourier, Arthur packets
| Ambient orbit | KL block sizes | Arthur parameters | Parameters in packets | Graded orbits | Local systems |
|---|---|---|---|---|---|
| 1111111111 | 1 × 1 | 1 | 1 | 1 | 1 |
| 22111111 | 2 × 2 | 2 | 2 | 2 | 2 |
| 31111111 | 3 × 3, 1 × 1 | 3 | 4 | 3 | 4 |
| 222211 | 3 × 3 | 3 | 3 | 3 | 3 |
| 322111 | 6 × 6, 2 × 2 | 6 | 8 | 6 | 8 |
| 331111 | 7 × 7, 2 × 2 | 6 | 9 | 6 | 9 |
| 3322 | 10 × 10, 2 × 2 | 6 | 8 | 10 | 12 |
| 511111 | 6 × 6, 2 × 2 | 2 | 4 | 6 | 8 |
| 3331 | 10 × 10, 3 × 3 | 7 | 11 | 9 | 13 |
| 4411 | 6 × 6 | 2 | 2 | 6 | 6 |
| 5221 | 16 × 16, 4 × 4, 1 × 1, 1 × 1 | 4 | 10 | 16 | 22 |
| 5311 | 20 × 20, 8 × 8, 1 × 1, 1 × 1 | 9 | 21 | 18 | 30 |
| 55 | 20 × 20, 5 × 5, 1 × 1, 1 × 1 | 3 | 6 | 20 | 27 |
| 7111 | 12 × 12, 4 × 4 | 2 | 4 | 12 | 16 |
| 73 | 30 × 30, 8 × 8, 1 × 1, 1 × 1 | 4 | 10 | 30 | 40 |
| 91 | 32 × 32, 8 × 8, 2 × 2, 2 × 2 | 2 | 8 | 32 | 44 |
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.