| | Number of Real Solutions |
| Necklaces |
1 | 3 | 5 |
7 |
| edcbaa |
0 | 0 | 0 | 100000 |
| edcaba |
0 | 0 | 0 | 100000 |
| edcaab |
0 | 0 | 0 | 100000 |
| edbcaa |
0 | 0 | 0 | 100000 |
| edbaca |
0 | 0 | 0 | 100000 |
| edbaac |
0 | 0 | 0 | 100000 |
| edacba |
0 | 0 | 0 | 100000 |
| edacab |
0 | 0 | 0 | 100000 |
| edabca |
0 | 0 | 0 | 100000 |
| edabac |
0 | 0 | 0 | 100000 |
| edaacb |
0 | 0 | 0 | 100000 |
| edaabc |
0 | 0 | 0 | 100000 |
| ecdbaa |
0 | 0 | 0 | 100000 |
| ecdaba |
0 | 0 | 0 | 100000 |
| ecdaab |
0 | 0 | 0 | 100000 |
| ecbdaa |
0 | 0 | 0 | 100000 |
| ecbada |
0 | 0 | 0 | 100000 |
| ecadba |
0 | 0 | 0 | 100000 |
| ecadab |
0 | 0 | 0 | 100000 |
| ecabda |
0 | 0 | 0 | 100000 |
| ecaadb |
0 | 0 | 0 | 100000 |
| ebdcaa |
0 | 0 | 0 | 100000 |
| ebdaca |
0 | 0 | 0 | 100000 |
| ebcdaa |
0 | 0 | 0 | 100000 |
| ebcada |
0 | 0 | 0 | 100000 |
| ebadca |
0 | 0 | 0 | 100000 |
| ebacda |
0 | 0 | 0 | 100000 |
| eadcba |
0 | 0 | 0 | 100000 |
| eadbca |
0 | 0 | 0 | 100000 |
| eacdba |
0 | 0 | 0 | 100000 |
|