| | Number of Real Solutions |
| Necklaces |
1 | 3 | 5 |
| AcbcAa |
0 | 7883 | 17117 |
| AAcbac |
0 | 14870 | 10130 |
| AAccba |
0 | 20136 | 4864 |
| AcAcba |
404 | 10087 | 14509 |
| AbaAcc |
755 | 11028 | 13217 |
| AbacAc |
1108 | 11152 | 12740 |
| AbAcac |
1253 | 9631 | 14116 |
| AbcAac |
1378 | 7353 | 16269 |
| AAcbca |
1615 | 19893 | 3492 |
| AbcaAc |
2113 | 12014 | 10873 |
| AbAcca |
2289 | 6101 | 16610 |
| AbcAca |
4342 | 7981 | 12677 |
| AbccAa |
4655 | 8688 | 11657 |
| AAbcac |
4957 | 11899 | 8144 |
| AAbcca |
5825 | 14323 | 4852 |
| AAbacc |
12264 | 3699 | 9037 |
|