| | Number of Real Solutions |
| Necklaces |
1 | 3 | 5 |
7 | 9 |
| dcbaaa |
0 | 0 | 0 | 0 |
100000 |
| dcabaa |
0 | 0 | 0 | 0 |
100000 |
| dcaaba |
0 | 0 | 0 | 0 |
100000 |
| dcaaab |
0 | 0 | 0 | 0 |
100000 |
| dbcaaa |
0 | 0 | 0 | 0 |
100000 |
| dbacaa |
0 | 0 | 0 | 0 |
100000 |
| dbaaca |
0 | 0 | 0 | 0 |
100000 |
| dacbaa |
0 | 0 | 0 | 0 |
100000 |
| dacaba |
0 | 0 | 0 | 0 |
100000 |
| dabcaa |
0 | 0 | 0 | 0 |
100000 |
|