| | Number of Real Solutions |
| Necklaces |
1 | 3 | 5 |
7 | 9 | 11 | 13 | 15 |
17 | 19 |
| dcbbaa |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 50000 |
| dcbaba |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 50000 |
| dcbaab |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 50000 |
| dcabba |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 50000 |
| dcabab |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 50000 |
| dcaabb |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 50000 |
| dbcbaa |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 50000 |
| dbcaba |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 50000 |
| dbcaab |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 50000 |
| dbbcaa |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 50000 |
| dbbaca |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 50000 |
| dbacba |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 50000 |
| dbacab |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 50000 |
| dbabca |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 50000 |
| dacbba |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 50000 |
| dabcba |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 50000 |
|