| | Number of Real Solutions |
| Necklaces |
1 | 3 |
| BAabbc |
0 | 25000 |
| BacbAb |
177 | 24823 |
| BabAcb |
1038 | 23962 |
| BAcbba |
1801 | 23199 |
| BcbAba |
1821 | 23179 |
| BabcAb |
2047 | 22953 |
| BbcAab |
3254 | 21746 |
| BAbacb |
4637 | 20363 |
| BbAcab |
4891 | 20109 |
| BcbbAa |
6640 | 18360 |
| BAabcb |
7238 | 17762 |
| BaAbcb |
7448 | 17552 |
| BcAbba |
7933 | 17067 |
| BbAacb |
8332 | 16668 |
| BcabAb |
9435 | 15565 |
| BaAcbb |
10461 | 14539 |
| BAbcab |
10665 | 14335 |
| BAacbb |
11182 | 13818 |
| BcAabb |
11322 | 13678 |
| BcbAab |
13153 | 11847 |
| BcaAbb |
13523 | 11477 |
| BcAbab |
13921 | 11079 |
| BAcbab |
14097 | 10903 |
| BAbcba |
15158 | 9842 |
| BacAbb |
15166 | 9834 |
| BcbaAb |
15420 | 9580 |
| BAbbca |
15560 | 9440 |
| BAbabc |
15846 | 9154 |
| BAbbac |
15967 | 9033 |
| BAcabb |
16191 | 8809 |
|