| | Number of Real Solutions |
| Necklaces |
1 | 3 | 5 |
7 | 9 |
| Abcaaaaa |
0 | 0 | 0 | 0 |
10000 |
| Acbaaaaa |
0 | 0 | 0 | 0 |
10000 |
| Aabcaaaa |
0 | 0 | 0 | 0 |
10000 |
| Aacbaaaa |
0 | 0 | 0 | 0 |
10000 |
| Aaabcaaa |
0 | 0 | 0 | 0 |
10000 |
| Aaacbaaa |
0 | 0 | 0 | 0 |
10000 |
| Abaaacaa |
0 | 119 | 3392 | 3713 |
2776 |
| Aabaaaca |
0 | 425 | 3876 | 2946 |
2753 |
| Acaaabaa |
0 | 899 | 3187 | 3903 |
2011 |
| Acaabaaa |
0 | 1003 | 2581 | 3217 |
3199 |
| Aabacaaa |
0 | 1005 | 294 | 930 |
7771 |
| Abaaaaac |
0 | 1028 | 733 | 1374 |
6865 |
| Aacabaaa |
0 | 1067 | 727 | 949 |
7257 |
| Aaabacaa |
0 | 1083 | 445 | 460 |
8012 |
| Abaaaaca |
0 | 1101 | 2640 | 1719 |
4540 |
| Acaaaaba |
0 | 1185 | 2468 | 3488 |
2859 |
| Abacaaaa |
0 | 1211 | 597 | 636 |
7556 |
| Abaacaaa |
0 | 1262 | 2373 | 2879 |
3486 |
| Acabaaaa |
0 | 1317 | 990 | 897 |
6796 |
| Aabaacaa |
0 | 1611 | 2267 | 1970 |
4152 |
| Aacaabaa |
0 | 1765 | 2521 | 2552 |
3162 |
|