| | Number of Real Solutions |
| Necklaces |
1 | 3 |
| ecaabd |
0 | 25000 |
| ecbaad |
0 | 25000 |
| edcaab |
0 | 25000 |
| edcbaa |
0 | 25000 |
| edaacb |
0 | 25000 |
| edbcaa |
0 | 25000 |
| edacab |
231 | 24769 |
| edbaca |
1682 | 23318 |
| edacba |
2320 | 22680 |
| eadcab |
2740 | 22260 |
| eadacb |
3508 | 21492 |
| ecdaab |
4508 | 20492 |
| ecdbaa |
5516 | 19484 |
| edabca |
5738 | 19262 |
| ecdaba |
5995 | 19005 |
| ecadba |
6530 | 18470 |
| ecabad |
6732 | 18268 |
| ecbada |
6840 | 18160 |
| edcaba |
7716 | 17284 |
| eacadb |
8178 | 16822 |
| ecabda |
8187 | 16813 |
| eaacdb |
8361 | 16639 |
| ecadab |
8365 | 16635 |
| eacdab |
8606 | 16394 |
| ecaadb |
8698 | 16302 |
| eaadcb |
8794 | 16206 |
| eacbda |
9630 | 15370 |
| eadcba |
10597 | 14403 |
| ecbdaa |
11427 | 13573 |
| eacdba |
12328 | 12672 |
|