| | Number of Real Solutions |
| Necklaces |
1 | 3 |
| AAacbbb |
0 | 25000 |
| AAcabbb |
0 | 25000 |
| AacAbbb |
1686 | 23314 |
| AAabcbb |
2053 | 22947 |
| AAabbbc |
3893 | 21107 |
| AabbcAb |
5151 | 19849 |
| AabbbAc |
6200 | 18800 |
| AabcAbb |
7241 | 17759 |
| AAcbbab |
8837 | 16163 |
| AabAcbb |
9384 | 15616 |
| AAabbcb |
9472 | 15528 |
| AaAcbbb |
9693 | 15307 |
| AcbAbab |
10328 | 14672 |
| AabbAcb |
10388 | 14612 |
| AAbabcb |
10734 | 14266 |
| AabcbAb |
11485 | 13515 |
| AabAbcb |
12688 | 12312 |
| AAcbabb |
12857 | 12143 |
| AcbabAb |
13277 | 11723 |
| AAbacbb |
13349 | 11651 |
| AcabAbb |
16258 | 8742 |
| AbAbacb |
16542 | 8458 |
| AAbcabb |
16639 | 8361 |
| AacbbAb |
17131 | 7869 |
| AabbAbc |
17243 | 7757 |
| AabAbbc |
17331 | 7669 |
| AacbAbb |
18323 | 6677 |
| AaAbcbb |
18569 | 6431 |
| AcAbabb |
18847 | 6153 |
| AcabbAb |
19591 | 5409 |
|