| | Number of Real Solutions |
| Necklaces |
1 | 3 |
| Acaaabb |
0 | 25000 |
| Acbaaab |
0 | 25000 |
| Acbbaaa |
0 | 25000 |
| Aaacabb |
1346 | 23654 |
| Acabaab |
2194 | 22806 |
| Acbaaba |
3451 | 21549 |
| Acaabab |
4046 | 20954 |
| Abacaab |
4485 | 20515 |
| Acbabaa |
5056 | 19944 |
| Aaabacb |
5978 | 19022 |
| Aacaabb |
7945 | 17055 |
| Aaaabcb |
8309 | 16691 |
| Aacbaab |
8645 | 16355 |
| Aabcaba |
8794 | 16206 |
| Aaaacbb |
9578 | 15422 |
| Aabaacb |
9651 | 15349 |
| Acabbaa |
9922 | 15078 |
| Abcaaab |
9995 | 15005 |
| Aaabcab |
10238 | 14762 |
| Aacbbaa |
11755 | 13245 |
| Aacabab |
12074 | 12926 |
| Acaabba |
12375 | 12625 |
| Aaabcba |
13032 | 11968 |
| Aabacab |
13634 | 11366 |
| Acababa |
14005 | 10995 |
| Aaacbba |
14367 | 10633 |
| Aabcaab |
14773 | 10227 |
| Aaacbab |
15331 | 9669 |
| Aacbaba |
16009 | 8991 |
| Aacabba |
16739 | 8261 |
|