| | Number of Real Solutions |
| Necklaces |
1 | 3 | 5 |
| Accccba |
0 | 0 | 25000 |
| Aaccccb |
0 | 0 | 25000 |
| Acccbac |
1119 | 12723 | 11158 |
| Accbcca |
1618 | 10284 | 13098 |
| Accaccb |
2134 | 12871 | 9995 |
| Accbcac |
2361 | 11451 | 11188 |
| Acaccbc |
3439 | 8941 | 12620 |
| Acacccb |
3500 | 4376 | 17124 |
| Acccacb |
4069 | 12201 | 8730 |
| Acbccca |
4202 | 4214 | 16584 |
| Acccbca |
4331 | 8140 | 12529 |
| Accccab |
4865 | 4822 | 15313 |
| Accacbc |
5137 | 11686 | 8177 |
| Accabcc |
5189 | 10785 | 9026 |
| Acccabc |
5420 | 9968 | 9612 |
|