| | Number of Real Solutions |
| Necklaces |
1 | 3 | 5 |
7 | 9 |
| ddcbaaa |
0 | 0 | 0 | 0 |
5000 |
| ddcabaa |
0 | 0 | 0 | 0 |
5000 |
| ddcaaba |
0 | 0 | 0 | 0 |
5000 |
| ddcaaab |
0 | 0 | 0 | 0 |
5000 |
| dcdbaaa |
0 | 0 | 0 | 0 |
5000 |
| dcdabaa |
0 | 0 | 0 | 0 |
5000 |
| dcabada |
0 | 0 | 0 | 777 |
4223 |
| dcadaba |
0 | 0 | 0 | 802 |
4198 |
| dadacba |
0 | 0 | 0 | 1593 |
3407 |
| dcbaada |
0 | 0 | 4 | 1084 |
3912 |
| dcaabda |
0 | 0 | 19 | 1371 |
3610 |
| dcadaab |
0 | 0 | 64 | 1351 |
3585 |
| dcadbaa |
0 | 0 | 74 | 1629 |
3297 |
| ddabcaa |
0 | 0 | 117 | 1983 |
2900 |
| ddbacaa |
0 | 0 | 121 | 2095 |
2784 |
| ddbcaaa |
0 | 0 | 377 | 905 |
3718 |
| ddacaba |
0 | 0 | 414 | 1449 |
3137 |
| ddbaaca |
0 | 0 | 547 | 1311 |
3142 |
| ddacbaa |
0 | 0 | 563 | 1277 |
3160 |
| dbadaca |
0 | 1 | 969 | 2451 |
1579 |
| dbacada |
0 | 4 | 100 | 2610 |
2286 |
| dbcaada |
0 | 22 | 306 | 2072 |
2600 |
| dcaadba |
0 | 23 | 1142 | 2312 |
1523 |
| dcbdaaa |
0 | 39 | 957 | 2187 |
1817 |
| dcaadab |
0 | 258 | 941 | 2474 |
1327 |
| dcabdaa |
0 | 375 | 985 | 1766 |
1874 |
| dbcadaa |
0 | 383 | 1022 | 2070 |
1525 |
| dcbadaa |
0 | 411 | 859 | 1753 |
1977 |
| dcaaadb |
4 | 294 | 1120 | 1882 |
1700 |
| dbdacaa |
5 | 551 | 770 | 2234 |
1440 |
|