| | Number of Real Solutions |
| Necklaces |
1 | 3 |
| dbaacc |
0 | 25000 |
| dcbaac |
0 | 25000 |
| dccbaa |
0 | 25000 |
| dccaba |
0 | 25000 |
| dcabac |
0 | 25000 |
| dabcca |
205 | 24795 |
| dacbca |
1584 | 23416 |
| dbcaac |
4270 | 20730 |
| dcbaca |
5197 | 19803 |
| dcbcaa |
5236 | 19764 |
| dcabca |
6224 | 18776 |
| dbacca |
6516 | 18484 |
| dcacba |
6697 | 18303 |
| dbccaa |
7372 | 17628 |
| dbcaca |
8517 | 16483 |
| dbacac |
12823 | 12177 |
|