| | Number of Real Solutions |
| Necklaces |
1 | 3 | 5 |
7 |
| ccbbbaa |
0 | 0 | 0 | 24999 |
| ccbbaab |
0 | 0 | 0 | 24999 |
| cbcbbaa |
0 | 0 | 0 | 24999 |
| cbcbaab |
0 | 0 | 0 | 24999 |
| cbbcbaa |
0 | 0 | 0 | 24999 |
| cbbbcaa |
0 | 0 | 0 | 24999 |
| ccbbaba |
0 | 1388 | 5721 | 17890 |
| ccbabab |
0 | 1451 | 5282 | 18266 |
| cbcbaba |
0 | 2194 | 6115 | 16690 |
| cbbacab |
0 | 3060 | 8384 | 13555 |
| cbbcaba |
0 | 3756 | 5894 | 15349 |
| cbbacba |
0 | 3877 | 12845 | 8277 |
| ccbabba |
0 | 5531 | 11137 | 8331 |
| cbcabba |
0 | 6244 | 11735 | 7020 |
| ccabbba |
2 | 3795 | 13217 | 7985 |
| cbbbaca |
17 | 3328 | 9847 | 11807 |
| cbbabca |
66 | 3116 | 11107 | 10710 |
| cbacbab |
82 | 4994 | 11282 | 8641 |
|