| | Number of Real Solutions |
| Necklaces |
0 |
2 | 4 | 6 |
| AbaAdc |
0 | 0 | 0 | 5000 |
| AbaAcd |
0 | 0 | 0 | 5000 |
| AabcAd |
0 | 0 | 896 | 4104 |
| AbAadc |
0 | 0 | 1102 | 3898 |
| AbdcAa |
0 | 0 | 1304 | 3696 |
| AbcdAa |
0 | 0 | 1323 | 3677 |
| AabdAc |
0 | 0 | 1341 | 3659 |
| AbadAc |
0 | 0 | 1456 | 3544 |
| AaAdbc |
0 | 2 | 1316 | 3682 |
| AbdaAc |
0 | 9 | 1475 | 3516 |
| AbcAda |
0 | 20 | 1161 | 3819 |
| AbcAad |
0 | 307 | 2212 | 2481 |
| AbacAd |
0 | 451 | 2358 | 2191 |
| AbAacd |
0 | 531 | 2454 | 2015 |
| AAadbc |
0 | 604 | 2542 | 1854 |
| AbdAca |
0 | 1063 | 1598 | 2339 |
| AAbcad |
0 | 1229 | 2429 | 1342 |
| AAbcda |
0 | 1292 | 2487 | 1221 |
| AAdabc |
0 | 1292 | 2487 | 1221 |
| AbcaAd |
0 | 1466 | 1534 | 2000 |
| AbAdac |
0 | 1551 | 1546 | 1903 |
| AAabcd |
0 | 2007 | 1796 | 1197 |
| AAabdc |
0 | 2054 | 1036 | 1910 |
| AAbadc |
0 | 2103 | 1755 | 1142 |
| AAbdca |
0 | 3165 | 940 | 895 |
| AAdbac |
0 | 3165 | 940 | 895 |
| AAbacd |
0 | 3315 | 571 | 1114 |
| AbdAac |
53 | 313 | 1702 | 2932 |
| AAacbd |
584 | 1539 | 1788 | 1089 |
| AAbdac |
608 | 1665 | 1771 | 956 |
|