| | Number of Real Solutions |
| Necklaces |
0 |
2 | 4 | 6 | 8 | 10 |
12 |
| AbBccaa |
0 | 0 | 0 | 0 |
0 | 0 | 7500 |
| AbccBaa |
0 | 0 | 0 | 0 |
0 | 0 | 7500 |
| ABccbaa |
0 | 0 | 0 | 0 |
0 | 0 | 7500 |
| AaabBcc |
0 | 0 | 0 | 0 |
0 | 0 | 7500 |
| AbaaccB |
0 | 0 | 0 | 0 |
289 | 3026 | 4185 |
| ABbccaa |
0 | 0 | 0 | 0 |
306 | 3776 | 3418 |
| AbaaBcc |
0 | 0 | 0 | 8 |
2257 | 2021 | 3214 |
| AbBaacc |
0 | 0 | 0 | 12 |
1359 | 3446 | 2683 |
| AaaBbcc |
0 | 0 | 0 | 14 |
2498 | 2415 | 2573 |
| ABbaacc |
0 | 0 | 0 | 68 |
1782 | 3534 | 2116 |
| AbccaaB |
0 | 0 | 0 | 78 |
1961 | 3281 | 2180 |
| ABaabcc |
0 | 0 | 0 | 1213 |
2129 | 1771 | 2387 |
|