| | Number of Real Solutions |
| Necklaces |
0 |
2 | 4 |
| Aabbccdd |
0 | 0 | 25000 |
| Aabbddcc |
0 | 0 | 25000 |
| Aaccbbdd |
0 | 1067 | 23933 |
| Aaddbbcc |
0 | 3218 | 21782 |
| Acabbcdd |
0 | 3774 | 21226 |
| Acabddbc |
0 | 8689 | 16311 |
| Abccabdd |
677 | 6221 | 18102 |
| Aaddccbb |
2755 | 2234 | 20011 |
| Acbcabdd |
2880 | 9607 | 12513 |
| Aaccddbb |
3674 | 2664 | 18662 |
| Ababccdd |
4567 | 6630 | 13803 |
| Ababddcc |
5336 | 6233 | 13431 |
|