| | Number of Real Solutions |
| Necklaces |
1 | 3 | 5 |
7 | 9 | 11 | 13 | 15 |
17 | 19 |
| dbacccccc |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 7501 |
| dabcccccc |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 7501 |
| dcbaccccc |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 7501 |
| dcabccccc |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 7501 |
| dccbacccc |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 7501 |
| dccabcccc |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 7501 |
| dcccbaccc |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 7501 |
| dbcccccca |
0 | 0 | 0 | 0 |
383 | 552 | 1459 | 1978 |
1738 | 1391 |
| dacbccccc |
0 | 0 | 0 | 17 |
181 | 873 | 1096 | 855 |
528 | 3951 |
| dbcccaccc |
0 | 0 | 0 | 25 |
245 | 937 | 1524 | 2217 |
1730 | 823 |
| dcacccbcc |
0 | 0 | 0 | 39 |
471 | 1290 | 1682 | 1823 |
1509 | 687 |
| dcbcccacc |
0 | 0 | 0 | 44 |
298 | 972 | 1755 | 2071 |
1598 | 763 |
| dacccccbc |
0 | 0 | 0 | 59 |
331 | 930 | 1540 | 1762 |
1555 | 1324 |
| dacccbccc |
0 | 0 | 0 | 77 |
666 | 772 | 1179 | 1893 |
1974 | 940 |
| dbcaccccc |
0 | 0 | 0 | 81 |
401 | 600 | 825 | 644 |
516 | 4434 |
| dccacbccc |
0 | 0 | 0 | 124 |
268 | 499 | 991 | 871 |
597 | 4151 |
| dbccccacc |
0 | 0 | 0 | 145 |
549 | 1096 | 1861 | 2041 |
1364 | 445 |
| daccccbcc |
0 | 0 | 0 | 165 |
634 | 1273 | 1625 | 1574 |
1450 | 780 |
| dccbcaccc |
0 | 0 | 0 | 169 |
296 | 467 | 922 | 867 |
566 | 4214 |
| dcbcacccc |
0 | 0 | 0 | 176 |
201 | 688 | 1086 | 737 |
624 | 3989 |
| dcbccaccc |
0 | 0 | 0 | 221 |
402 | 1091 | 1565 | 1645 |
1065 | 1512 |
| dcacbcccc |
0 | 0 | 0 | 254 |
219 | 568 | 1120 | 925 |
779 | 3636 |
| dcbccccac |
0 | 0 | 0 | 272 |
1045 | 1939 | 1959 | 1412 |
660 | 214 |
| dbccacccc |
0 | 0 | 3 | 294 |
350 | 896 | 1864 | 1758 |
1160 | 1176 |
| dbcccccac |
0 | 0 | 4 | 8 |
258 | 1032 | 2200 | 2219 |
1228 | 552 |
| dcaccbccc |
0 | 0 | 4 | 283 |
755 | 964 | 1480 | 1391 |
1181 | 1443 |
| dccbccacc |
0 | 0 | 5 | 232 |
530 | 949 | 1678 | 1733 |
1166 | 1208 |
| daccbcccc |
0 | 0 | 5 | 294 |
860 | 787 | 1285 | 1536 |
1349 | 1385 |
|