| | Number of Real Solutions |
| Necklaces |
1 | 3 |
| AaBBbb |
0 | 25000 |
| AbBBab |
4623 | 20377 |
| ABabbB |
4760 | 20240 |
| ABbbBa |
5113 | 19887 |
| ABbabB |
5414 | 19586 |
| ABBabb |
6482 | 18518 |
| ABbBab |
6918 | 18082 |
| ABBbab |
9374 | 15626 |
| AabBBb |
11832 | 13168 |
| ABbaBb |
12133 | 12867 |
| ABbBba |
12638 | 12362 |
| AaBbBb |
13227 | 11773 |
| ABBbba |
14265 | 10735 |
| ABabBb |
17241 | 7759 |
| AbBaBb |
17522 | 7478 |
| ABaBbb |
17528 | 7472 |
|