The table below indicates the limitations of reducing the dimension by imposing (symmetric) supersmoothness. Even though the dimension may still be greater than 264 not all 264 conditions can be imposed.
| n | V0 | V4 | V5 | E01 | E04 | E05 | E45 | F014 | F015 | F045 | dim | count |
| 1 | 2 | 7 | 281 | 245 | ||||||||
| 2 | 2 | 6 | 287 | 260 | ||||||||
| 3 | 2 | 6 | 305 | 260 | ||||||||
| 4 | 2 | 2 | 341 | 252 | ||||||||
| 5 | 2 | 2 | 341 | 260 | ||||||||
| 6 | 2 | 3 | 389 | 252 | ||||||||
| 7 | 2 | 2 | 404 | 260 | ||||||||
| 8 | 2 | 1 | 417 | 245 | ||||||||
| 9 | 2 | 1 | 475 | 228 |