| | Number of Real Solutions |
| Necklaces |
1 | 3 |
| BAbcba |
0 | 25000 |
| BAbbca |
0 | 25000 |
| BaAbbc |
0 | 25000 |
| BabbAc |
0 | 25000 |
| BAacbb |
1295 | 23705 |
| BabAcb |
1857 | 23143 |
| BabAbc |
2377 | 22623 |
| BabcAb |
2399 | 22601 |
| BacAbb |
2442 | 22558 |
| BaAbcb |
3938 | 21062 |
| BcAbab |
4039 | 20961 |
| BcbAab |
4945 | 20055 |
| BacbAb |
5033 | 19967 |
| BbAcab |
6563 | 18437 |
| BcabAb |
6804 | 18196 |
| BcaAbb |
7219 | 17781 |
| BaAcbb |
9972 | 15028 |
| BbaAcb |
10147 | 14853 |
| BAbcab |
10476 | 14524 |
| BbAacb |
10678 | 14322 |
| BAabcb |
11807 | 13193 |
| BAcbba |
12105 | 12895 |
| BcAabb |
12445 | 12555 |
| BAbbac |
13029 | 11971 |
| BAbacb |
14559 | 10441 |
| BAcbab |
14749 | 10251 |
| BcbaAb |
15768 | 9232 |
| BAcabb |
16350 | 8650 |
| BAabbc |
16850 | 8150 |
| BAbabc |
17172 | 7828 |
|