| | Number of Real Solutions |
| Necklaces |
1 | 3 |
| Accaaab |
0 | 25000 |
| Accbaaa |
0 | 25000 |
| Accaaba |
825 | 24175 |
| Aaaaccb |
1946 | 23054 |
| Acaaabc |
2297 | 22703 |
| Acacaab |
2545 | 22455 |
| Acaabac |
2558 | 22442 |
| Acaacab |
3088 | 21912 |
| Acacaba |
3467 | 21533 |
| Accabaa |
3679 | 21321 |
| Aaccbaa |
4308 | 20692 |
| Acaaacb |
4682 | 20318 |
| Acbaaca |
5716 | 19284 |
| Acaabca |
5820 | 19180 |
| Aaacacb |
5950 | 19050 |
| Acacbaa |
6472 | 18528 |
| Acabaca |
6956 | 18044 |
| Acabcaa |
7864 | 17136 |
| Aacacab |
8325 | 16675 |
| Aaaccba |
9433 | 15567 |
| Aaccaab |
9814 | 15186 |
| Acbacaa |
10271 | 14729 |
| Acbcaaa |
11735 | 13265 |
| Aacaacb |
11909 | 13091 |
| Acaacba |
12160 | 12840 |
| Aacabca |
12234 | 12766 |
| Aacbcaa |
12331 | 12669 |
| Aaccaba |
13317 | 11683 |
| Aaaccab |
13622 | 11378 |
| Aacacba |
14199 | 10801 |
|