| | Number of Real Solutions |
| Necklaces |
0 |
2 | 4 | 6 |
| ddcbba |
0 | 0 | 0 | 10000 |
| ddcbab |
0 | 0 | 0 | 10000 |
| ddcabb |
0 | 0 | 0 | 10000 |
| dcdbba |
0 | 0 | 0 | 10000 |
| dcdbab |
0 | 0 | 0 | 10000 |
| ddbcab |
0 | 0 | 1915 | 8085 |
| ddbcba |
0 | 0 | 1940 | 8060 |
| ddbbca |
0 | 0 | 2555 | 7445 |
| dcbbda |
0 | 17 | 2080 | 7903 |
| dcadbb |
0 | 156 | 2981 | 6863 |
| dcbdba |
0 | 158 | 3955 | 5887 |
| dbcbda |
0 | 286 | 3194 | 6520 |
| dcbdab |
0 | 471 | 4840 | 4689 |
| dcabdb |
0 | 540 | 5062 | 4398 |
| dcbadb |
0 | 650 | 3509 | 5841 |
| dbdbca |
0 | 1533 | 3469 | 4998 |
|