| | Number of Real Solutions |
| Necklaces |
0 |
2 | 4 | 6 |
| Abaaaccc |
0 | 0 | 0 | 15000 |
| Abaacacc |
0 | 0 | 0 | 15000 |
| Abaaccac |
0 | 0 | 0 | 15000 |
| Abaaccca |
0 | 0 | 0 | 15000 |
| Abacccaa |
0 | 0 | 0 | 15000 |
| Abcccaaa |
0 | 0 | 0 | 15000 |
| Aabaaccc |
0 | 0 | 0 | 15000 |
| Aabacacc |
0 | 0 | 0 | 15000 |
| Aabaccac |
0 | 0 | 0 | 15000 |
| Aabaccca |
0 | 0 | 0 | 15000 |
| Aabcccaa |
0 | 0 | 0 | 15000 |
| Aaabaccc |
0 | 0 | 0 | 15000 |
| Aaabcacc |
0 | 0 | 0 | 15000 |
| Aaabccac |
0 | 0 | 0 | 15000 |
| Aaabccca |
0 | 0 | 0 | 15000 |
| Aaaabccc |
0 | 0 | 0 | 15000 |
| Aaaacbcc |
0 | 0 | 0 | 15000 |
| Acbaaacc |
0 | 0 | 0 | 15000 |
| Acabaacc |
0 | 0 | 0 | 15000 |
| Acaabacc |
0 | 0 | 0 | 15000 |
| Acaaabcc |
0 | 0 | 0 | 15000 |
| Aaaccabc |
0 | 0 | 22 | 14978 |
| Aaacabcc |
0 | 0 | 39 | 14961 |
| Abacaacc |
0 | 0 | 56 | 14944 |
| Aabcaacc |
0 | 0 | 93 | 14907 |
| Aacbacca |
0 | 0 | 280 | 14720 |
| Aacabcca |
0 | 0 | 373 | 14627 |
| Aaacbacc |
0 | 0 | 415 | 14585 |
| Abcaacca |
0 | 0 | 664 | 14336 |
| Abcaaacc |
0 | 0 | 772 | 14228 |
| Aaaccbac |
0 | 0 | 866 | 14134 |
| Acabcaac |
0 | 0 | 1161 | 13839 |
| Acbacaac |
0 | 0 | 1682 | 13318 |
| Aabccaac |
0 | 1 | 1590 | 13409 |
| Abccaaca |
0 | 3 | 902 | 14095 |
| Abcaccaa |
0 | 4 | 873 | 14123 |
| Abcacaca |
0 | 4 | 943 | 14053 |
| Abacacac |
0 | 5 | 586 | 14409 |
| Abccaaac |
0 | 5 | 748 | 14247 |
| Acabacac |
0 | 6 | 1343 | 13651 |
| Abccacaa |
0 | 7 | 871 | 14122 |
| Acaabcac |
0 | 8 | 574 | 14418 |
| Abcacaac |
0 | 9 | 1599 | 13392 |
| Abaccaca |
0 | 10 | 1155 | 13835 |
| Abcaacac |
0 | 10 | 1822 | 13168 |
| Aacaacbc |
0 | 11 | 1250 | 13739 |
| Abaccaac |
0 | 11 | 1650 | 13339 |
| Aabcacac |
0 | 12 | 1006 | 13982 |
| Aabccaca |
0 | 14 | 1356 | 13630 |
| Acbcaaac |
0 | 14 | 1548 | 13438 |
| Aacbcaca |
0 | 17 | 1820 | 13163 |
| Acbaacac |
0 | 18 | 1448 | 13534 |
| Aacbacac |
0 | 20 | 1631 | 13349 |
| Aacacabc |
0 | 21 | 541 | 14438 |
| Aabcacca |
0 | 22 | 1009 | 13969 |
| Aacbaacc |
0 | 23 | 1100 | 13877 |
| Aacabacc |
0 | 31 | 1275 | 13694 |
| Aacbcaac |
0 | 32 | 2106 | 12862 |
| Abacacca |
0 | 35 | 1113 | 13852 |
| Aacacbac |
0 | 44 | 1329 | 13627 |
| Aaacacbc |
0 | 55 | 1472 | 13473 |
| Aaccabac |
0 | 57 | 1224 | 13719 |
| Aaacbcac |
0 | 57 | 1543 | 13400 |
| Aacaabcc |
0 | 65 | 1018 | 13917 |
| Aaccaabc |
0 | 69 | 756 | 14175 |
| Aaacbcca |
0 | 90 | 940 | 13970 |
| Aaccbaac |
0 | 99 | 1372 | 13529 |
| Aaaccbca |
0 | 102 | 1955 | 12943 |
| Aacabcac |
0 | 116 | 1894 | 12990 |
| Aaaaccbc |
1 | 218 | 2354 | 12427 |
| |
| Projections |
| Variety | Problem | # |
| Fl(2;6) |
(W )3W W
| 3 |
|
|