| | Number of Real Solutions |
| Necklaces |
1 | 3 | 5 |
| Aabbbbc |
0 | 0 | 25000 |
| Acbbabb |
166 | 12402 | 12432 |
| Abacbbb |
1039 | 11786 | 12175 |
| Abcabbb |
1155 | 9923 | 13922 |
| Aabbcbb |
1236 | 11408 | 12356 |
| Acabbbb |
2045 | 4921 | 18034 |
| Abcbabb |
2497 | 12373 | 10130 |
| Acbabbb |
2654 | 12883 | 9463 |
| Aabbbcb |
3701 | 5087 | 16212 |
| Ababcbb |
3868 | 8427 | 12705 |
| Ababbcb |
4320 | 9821 | 10859 |
| Aabcbbb |
4485 | 8957 | 11558 |
| Acbbbab |
4669 | 9510 | 10821 |
| Aacbbbb |
8199 | 6524 | 10277 |
| Abbacbb |
9198 | 10793 | 5009 |
|