| | Number of Real Solutions |
| Necklaces |
0 |
2 | 4 |
| baadcc |
0 | 0 | 25000 |
| baacdc |
0 | 0 | 25000 |
| baaccd |
0 | 0 | 25000 |
| badcca |
0 | 0 | 25000 |
| bacdca |
0 | 0 | 25000 |
| bcadac |
0 | 1316 | 23684 |
| bdaacc |
0 | 2334 | 22666 |
| bcaadc |
0 | 3233 | 21767 |
| badacc |
0 | 3619 | 21381 |
| baccad |
0 | 4399 | 20601 |
| bdcaac |
0 | 5032 | 19968 |
| bacadc |
0 | 10356 | 14644 |
| badcac |
0 | 11099 | 13901 |
| bacdac |
237 | 2482 | 22281 |
| bacacd |
1049 | 7454 | 16497 |
| bdacac |
4176 | 10552 | 10272 |
|