| | Number of Real Solutions |
| Necklaces |
1 | 3 |
| AcBabb |
0 | 25000 |
| AacBbb |
1780 | 23220 |
| AcBbab |
2738 | 22262 |
| AcbBab |
3657 | 21343 |
| ABbbac |
3897 | 21103 |
| ABcabb |
4550 | 20450 |
| ABbabc |
4580 | 20420 |
| AabBcb |
4906 | 20094 |
| AaBcbb |
5462 | 19538 |
| ABbcab |
6085 | 18915 |
| AabcbB |
6292 | 18708 |
| ABcbab |
6339 | 18661 |
| ABabcb |
6680 | 18320 |
| AcbaBb |
7087 | 17913 |
| AbacBb |
7225 | 17775 |
| AbaBcb |
7981 | 17019 |
| AcaBbb |
8227 | 16773 |
| AabcBb |
8621 | 16379 |
| AabBbc |
8648 | 16352 |
| AaBbcb |
9057 | 15943 |
| AabbcB |
9682 | 15318 |
| ABabbc |
9694 | 15306 |
| AabbBc |
10644 | 14356 |
| ABacbb |
10861 | 14139 |
| ABbacb |
11310 | 13690 |
| AaBbbc |
12124 | 12876 |
| AbBacb |
12434 | 12566 |
| AacbbB |
12469 | 12531 |
| AacbBb |
13513 | 11487 |
| AcabBb |
14386 | 10614 |
|