| | Number of Real Solutions |
| Necklaces |
1 | 3 |
| Abaacc |
0 | 24998 |
| Accbaa |
0 | 24998 |
| Accaba |
0 | 24998 |
| Acabca |
0 | 24998 |
| Acabac |
0 | 24998 |
| Acacba |
0 | 24998 |
| Aabcca |
0 | 24998 |
| Aacbca |
0 | 24998 |
| Abacac |
2035 | 22963 |
| Abccaa |
2927 | 22071 |
| Acbcaa |
2976 | 22022 |
| Acbaac |
3204 | 21794 |
| Acbaca |
5569 | 19429 |
| Abcaca |
8880 | 16118 |
| Abacca |
9519 | 15479 |
| Abcaac |
13367 | 11631 |
|