| | Number of Real Solutions |
| Necklaces |
1 | 3 |
| Accbba |
0 | 25000 |
| Abcacb |
1852 | 23148 |
| Acabbc |
1990 | 23010 |
| Acbcab |
2198 | 22802 |
| Aaccbb |
2880 | 22120 |
| Abccab |
2946 | 22054 |
| Acbacb |
3128 | 21872 |
| Acbbca |
4899 | 20101 |
| Accbab |
5953 | 19047 |
| Acacbb |
7173 | 17827 |
| Acabcb |
7847 | 17153 |
| Accabb |
10786 | 14214 |
| Acbcba |
11048 | 13952 |
| Aacbcb |
11176 | 13824 |
| Aabccb |
11417 | 13583 |
| Acbabc |
11540 | 13460 |
|