| | Number of Real Solutions |
| Necklaces |
0 |
2 | 4 | 6 | 8 | 10 |
| Aabbbbbc |
0 | 0 | 0 | 0 |
0 | 15000 |
| Aabbbbcb |
0 | 0 | 0 | 3520 |
1362 | 10118 |
| Acbbbbab |
0 | 0 | 0 | 3520 |
1362 | 10118 |
| Aacbbbbb |
0 | 76 | 303 | 1308 |
1798 | 11515 |
| Acabbbbb |
0 | 76 | 303 | 1308 |
1798 | 11515 |
| Ababbbcb |
0 | 129 | 866 | 4742 |
2405 | 6858 |
| Aabcbbbb |
0 | 149 | 394 | 5588 |
3433 | 5436 |
| Acbabbbb |
0 | 149 | 394 | 5588 |
3433 | 5436 |
| Aabbcbbb |
0 | 160 | 1569 | 4122 |
6018 | 3131 |
| Acbbabbb |
0 | 160 | 1569 | 4122 |
6018 | 3131 |
| Abacbbbb |
0 | 265 | 1272 | 5752 |
3285 | 4426 |
| Abcabbbb |
0 | 265 | 1272 | 5752 |
3285 | 4426 |
| Aabbbcbb |
0 | 307 | 1972 | 5439 |
4767 | 2515 |
| Acbbbabb |
0 | 307 | 1972 | 5439 |
4767 | 2515 |
| Abbacbbb |
0 | 403 | 1646 | 5105 |
4379 | 3467 |
| Abbcabbb |
0 | 403 | 1646 | 5105 |
4379 | 3467 |
| Ababcbbb |
0 | 704 | 3747 | 5755 |
3140 | 1654 |
| Abcbabbb |
0 | 704 | 3747 | 5755 |
3140 | 1654 |
| Abbabcbb |
2 | 1908 | 3184 | 6063 |
2527 | 1316 |
| Ababbcbb |
135 | 999 | 2409 | 5430 |
4098 | 1929 |
| Abcbbabb |
135 | 999 | 2409 | 5430 |
4098 | 1929 |
|