| | Number of Real Solutions |
| Necklaces |
0 |
2 | 4 | 6 |
| AAbaac |
0 | 0 | 18713 | 6287 |
| AbacAa |
0 | 990 | 8981 | 15029 |
| AbAcaa |
0 | 1382 | 9895 | 13723 |
| AbaaAc |
0 | 2045 | 9399 | 13556 |
| AbcAaa |
0 | 2496 | 7224 | 15280 |
| AcAaba |
0 | 4983 | 14114 | 5903 |
| AcbaAa |
0 | 5288 | 11443 | 8269 |
| AbaAac |
0 | 5435 | 13994 | 5571 |
| AbcaAa |
0 | 5700 | 10033 | 9267 |
| AbAaca |
0 | 9157 | 9049 | 6794 |
| AAbcaa |
0 | 9499 | 8089 | 7412 |
| AAbaca |
0 | 13773 | 7467 | 3760 |
| AAcaba |
0 | 14189 | 7788 | 3023 |
| AAcbaa |
0 | 15443 | 4937 | 4620 |
| AAabca |
0 | 17948 | 5810 | 1242 |
| AbaAca |
40 | 822 | 12521 | 11617 |
|