| | Number of Real Solutions |
| Necklaces |
1 | 3 |
| dbaacc |
0 | 25000 |
| dcbaac |
0 | 25000 |
| dccbaa |
0 | 25000 |
| dccaba |
0 | 25000 |
| dcabac |
0 | 25000 |
| dcbcaa |
223 | 24777 |
| dacbca |
1484 | 23516 |
| dbacca |
4505 | 20495 |
| dcacba |
4756 | 20244 |
| dabcca |
5338 | 19662 |
| dcabca |
5837 | 19163 |
| dbcaac |
6372 | 18628 |
| dcbaca |
6754 | 18246 |
| dbccaa |
7264 | 17736 |
| dbcaca |
8312 | 16688 |
| dbacac |
12845 | 12155 |
|