| | Number of Real Solutions |
| Necklaces |
0 |
2 | 4 |
| baaaccc |
0 | 0 | 25000 |
| baaccca |
0 | 0 | 25000 |
| bcaaacc |
0 | 4344 | 20656 |
| baaccac |
0 | 5156 | 19844 |
| bcaacca |
0 | 6889 | 18111 |
| baacacc |
0 | 10480 | 14520 |
| bacacca |
0 | 12062 | 12938 |
| bccaaca |
0 | 12145 | 12855 |
| bacacac |
32 | 15505 | 9463 |
| bcaacac |
494 | 7995 | 16511 |
|