| | Number of Real Solutions |
| Necklaces |
0 |
2 | 4 |
| AcbdAa |
0 | 0 | 25000 |
| AdcbAa |
0 | 3323 | 21677 |
| AcbaAd |
0 | 4868 | 20132 |
| AAcbad |
0 | 7023 | 17977 |
| AcdbAa |
0 | 8492 | 16508 |
| AcadAb |
0 | 9473 | 15527 |
| AcAadb |
0 | 11067 | 13933 |
| AcbAda |
0 | 11221 | 13779 |
| AdAacb |
0 | 11676 | 13324 |
| AAcdba |
0 | 12401 | 12599 |
| AAdcba |
0 | 13626 | 11374 |
| AAdbca |
0 | 14450 | 10550 |
| AAcbda |
0 | 16129 | 8871 |
| AAacdb |
0 | 18807 | 6193 |
| AAdacb |
0 | 19097 | 5903 |
| AcAdab |
3 | 8923 | 16074 |
| AAcdab |
6 | 15066 | 9928 |
| AcdAab |
12 | 1723 | 23265 |
| AcdaAb |
42 | 10978 | 13980 |
| AAdcab |
134 | 20263 | 4603 |
| AAcabd |
221 | 17038 | 7741 |
| AcdAba |
280 | 9981 | 14739 |
| AcaAdb |
377 | 6648 | 17975 |
| AAadcb |
721 | 18332 | 5947 |
| AcbAad |
932 | 11191 | 12877 |
| AAcadb |
1713 | 16107 | 7180 |
| AcabAd |
1850 | 10440 | 12710 |
| AdcaAb |
2968 | 11967 | 10065 |
| AcAdba |
3109 | 10072 | 11819 |
| AcaAbd |
4407 | 12256 | 8337 |
|