| | Number of Real Solutions |
| Necklaces |
0 |
2 |
| Abaacc |
0 | 25000 |
| Accbaa |
0 | 25000 |
| Accaba |
0 | 25000 |
| Aacbca |
0 | 25000 |
| Acbcaa |
403 | 24597 |
| Abccaa |
733 | 24267 |
| Abcaac |
822 | 24178 |
| Aabcca |
3160 | 21840 |
| Acbaac |
3272 | 21728 |
| Abacac |
3948 | 21052 |
| Abcaca |
4140 | 20860 |
| Acacba |
5073 | 19927 |
| Acabac |
7154 | 17846 |
| Acabca |
10641 | 14359 |
| Abacca |
10923 | 14077 |
| Acbaca |
12604 | 12396 |
|