| | Number of Real Solutions |
| Necklaces |
0 |
2 | 4 |
| dccbba |
0 | 0 | 25000 |
| dccbab |
0 | 0 | 25000 |
| dccabb |
0 | 0 | 25000 |
| dcbbac |
0 | 0 | 25000 |
| dcbabc |
0 | 0 | 25000 |
| dcbcba |
0 | 205 | 24795 |
| dcbcab |
0 | 386 | 24614 |
| dcbbca |
0 | 1087 | 23913 |
| dcacbb |
0 | 2052 | 22948 |
| dcabcb |
0 | 3019 | 21981 |
| dcbacb |
0 | 3104 | 21896 |
| dbccba |
0 | 4997 | 20003 |
| dbcbca |
0 | 7878 | 17122 |
| dbccab |
0 | 9066 | 15934 |
| dbcacb |
0 | 11383 | 13617 |
| dbbcca |
0 | 11569 | 13431 |
|