| | Number of Real Solutions |
| Necklaces |
1 | 3 | 5 |
7 |
| dccbaa |
0 | 0 | 0 | 100000 |
| dccaba |
0 | 0 | 0 | 100000 |
| dccaab |
0 | 0 | 0 | 100000 |
| dcbcaa |
0 | 0 | 0 | 100000 |
| dcbaca |
0 | 0 | 0 | 100000 |
| dcbaac |
0 | 0 | 0 | 100000 |
| dcacba |
0 | 0 | 0 | 100000 |
| dcacab |
0 | 0 | 0 | 100000 |
| dcabca |
0 | 0 | 0 | 100000 |
| dcabac |
0 | 0 | 0 | 100000 |
| dcaacb |
0 | 0 | 0 | 100000 |
| dbccaa |
0 | 0 | 0 | 100000 |
| dbcaca |
0 | 0 | 0 | 100000 |
| dbacca |
0 | 0 | 0 | 100000 |
| daccba |
0 | 0 | 0 | 100000 |
| dacbca |
0 | 0 | 0 | 100000 |
|