| | Number of Real Solutions |
| Necklaces |
0 |
2 | 4 | 6 | 8 | 10 |
12 | 14 | 16 | 18 | 20 |
| dcbaaaaa |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 0 | 2500 |
| dcabaaaa |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 0 | 2500 |
| dcaabaaa |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 0 | 2500 |
| dcaaabaa |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 0 | 2500 |
| dcaaaaba |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 0 | 2500 |
| dcaaaaab |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 0 | 2500 |
| dbcaaaaa |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 0 | 2500 |
| dbacaaaa |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 0 | 2500 |
| dbaacaaa |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 0 | 2500 |
| dbaaacaa |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 0 | 2500 |
| dbaaaaca |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 0 | 2500 |
| dacbaaaa |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 0 | 2500 |
| dacabaaa |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 0 | 2500 |
| dacaabaa |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 0 | 2500 |
| dacaaaba |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 0 | 2500 |
| dabcaaaa |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 0 | 2500 |
| dabacaaa |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 0 | 2500 |
| dabaacaa |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 0 | 2500 |
| daacbaaa |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 0 | 2500 |
| daacabaa |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 0 | 2500 |
| daabcaaa |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 0 | 2500 |
|