| | Number of Real Solutions |
| Necklaces |
0 |
2 | 4 | 6 |
| dbacccc |
0 | 0 | 0 | 25000 |
| dabcccc |
0 | 0 | 0 | 25000 |
| dcbaccc |
0 | 0 | 0 | 25000 |
| dcabccc |
0 | 0 | 0 | 25000 |
| dccbacc |
0 | 0 | 0 | 25000 |
| dacbccc |
0 | 469 | 7444 | 17087 |
| dbcccac |
0 | 1518 | 13047 | 10435 |
| dcacbcc |
0 | 1733 | 5579 | 17688 |
| dacccbc |
0 | 2049 | 5906 | 17045 |
| daccbcc |
0 | 2621 | 8744 | 13635 |
| dcbcacc |
0 | 3086 | 6168 | 15746 |
| dbccacc |
0 | 4073 | 12578 | 8349 |
| dbcccca |
0 | 4484 | 7175 | 13341 |
| dbcaccc |
0 | 4737 | 6226 | 14037 |
| dcbccac |
0 | 5551 | 11391 | 8058 |
|