| | Number of Real Solutions |
| Necklaces |
0 |
2 | 4 | 6 | 8 |
| dccbaaa |
0 | 0 | 0 | 0 |
100000 |
| dccabaa |
0 | 0 | 0 | 0 |
100000 |
| dccaaba |
0 | 0 | 0 | 0 |
100000 |
| dccaaab |
0 | 0 | 0 | 0 |
100000 |
| dcbcaaa |
0 | 0 | 0 | 0 |
100000 |
| dcbacaa |
0 | 0 | 0 | 0 |
100000 |
| dcbaaca |
0 | 0 | 0 | 0 |
100000 |
| dcbaaac |
0 | 0 | 0 | 0 |
100000 |
| dcacbaa |
0 | 0 | 0 | 0 |
100000 |
| dcacaba |
0 | 0 | 0 | 0 |
100000 |
| dcacaab |
0 | 0 | 0 | 0 |
100000 |
| dcabcaa |
0 | 0 | 0 | 0 |
100000 |
| dcabaca |
0 | 0 | 0 | 0 |
100000 |
| dcabaac |
0 | 0 | 0 | 0 |
100000 |
| dcaacba |
0 | 0 | 0 | 0 |
100000 |
| dcaacab |
0 | 0 | 0 | 0 |
100000 |
| dcaabca |
0 | 0 | 0 | 0 |
100000 |
| dcaaacb |
0 | 0 | 0 | 0 |
100000 |
| dbccaaa |
0 | 0 | 0 | 0 |
100000 |
| dbcacaa |
0 | 0 | 0 | 0 |
100000 |
| dbcaaca |
0 | 0 | 0 | 0 |
100000 |
| dbaccaa |
0 | 0 | 0 | 0 |
100000 |
| dbacaca |
0 | 0 | 0 | 0 |
100000 |
| dbaacca |
0 | 0 | 0 | 0 |
100000 |
| daccbaa |
0 | 0 | 0 | 0 |
100000 |
| daccaba |
0 | 0 | 0 | 0 |
100000 |
| dacbcaa |
0 | 0 | 0 | 0 |
100000 |
| dacbaca |
0 | 0 | 0 | 0 |
100000 |
| dacacba |
0 | 0 | 0 | 0 |
100000 |
| dabccaa |
0 | 0 | 0 | 0 |
100000 |
|