| | Number of Real Solutions |
| Necklaces |
1 | 3 |
| Abaacc |
0 | 25000 |
| Accbaa |
0 | 25000 |
| Accaba |
0 | 25000 |
| Abacac |
3568 | 21432 |
| Acacba |
4124 | 20876 |
| Abccaa |
4731 | 20269 |
| Acabac |
6207 | 18793 |
| Acbcaa |
6400 | 18600 |
| Acbaac |
7833 | 17167 |
| Acbaca |
8468 | 16532 |
| Aabcca |
8876 | 16124 |
| Acabca |
9408 | 15592 |
| Abcaca |
9763 | 15237 |
| Aacbca |
10284 | 14716 |
| Abacca |
10632 | 14368 |
| Abcaac |
11940 | 13060 |
|