| | Number of Real Solutions |
| Necklaces |
0 |
2 | 4 |
| Abbbcaaa |
0 | 0 | 15000 |
| Abbbacaa |
0 | 0 | 15000 |
| Abbbaaca |
0 | 0 | 15000 |
| Abbbaaac |
0 | 0 | 15000 |
| Acbbbaaa |
0 | 0 | 15000 |
| Acbbabaa |
0 | 0 | 15000 |
| Acbabbaa |
0 | 0 | 15000 |
| Acabbbaa |
0 | 0 | 15000 |
| Acaabbba |
0 | 0 | 15000 |
| Aabbbcaa |
0 | 0 | 15000 |
| Aabbbaca |
0 | 0 | 15000 |
| Aacbbbaa |
0 | 0 | 15000 |
| Acbbaaba |
0 | 9 | 14991 |
| Aabbacba |
0 | 22 | 14978 |
| Abaabbca |
0 | 38 | 14962 |
| Aabbabca |
0 | 41 | 14959 |
| Abaabbac |
0 | 107 | 14893 |
| Abbabcaa |
0 | 124 | 14876 |
| Abcabbaa |
0 | 176 | 14824 |
| Aababbca |
0 | 227 | 14773 |
| Ababaabc |
0 | 243 | 14757 |
| Acbababa |
0 | 255 | 14745 |
| Abaababc |
0 | 263 | 14737 |
| Abbacbaa |
0 | 286 | 14714 |
| Abababca |
0 | 307 | 14693 |
| Acbaabba |
0 | 309 | 14691 |
| Abbabaca |
0 | 346 | 14654 |
| Acabbaba |
0 | 375 | 14625 |
| Abababac |
0 | 536 | 14464 |
| Abaaabbc |
0 | 567 | 14433 |
| Ababbaac |
0 | 780 | 14220 |
| Ababbaca |
0 | 833 | 14167 |
| Acababba |
0 | 904 | 14096 |
| Ababbcaa |
0 | 906 | 14094 |
| Abbaabca |
0 | 1057 | 13943 |
| Abbaaabc |
0 | 1080 | 13920 |
| Abbaabac |
0 | 1139 | 13861 |
| Abbaacab |
0 | 4221 | 10779 |
| Abcaabab |
1 | 820 | 14179 |
| Ababacab |
2 | 486 | 14512 |
| Abbabaac |
2 | 820 | 14178 |
| Abbaaacb |
5 | 2002 | 12993 |
| Ababcaab |
6 | 608 | 14386 |
| Abacbaab |
12 | 1126 | 13862 |
| Abbacaab |
19 | 5465 | 9516 |
| Ababcbaa |
27 | 1740 | 13233 |
| Ababacba |
48 | 2435 | 12517 |
| Abcabaab |
75 | 2473 | 12452 |
| Abcaabba |
78 | 3222 | 11700 |
| Abcababa |
96 | 1877 | 13027 |
| Abacbbaa |
106 | 1562 | 13332 |
| Abbcaaab |
123 | 3852 | 11025 |
| Ababcaba |
178 | 2514 | 12308 |
| Abacbaba |
226 | 1628 | 13146 |
| Abaacbba |
345 | 2979 | 11676 |
| Abbaacba |
357 | 3954 | 10689 |
| Aabcbaba |
412 | 1432 | 13156 |
| Abcbaaab |
412 | 3231 | 11357 |
| Abaabcba |
529 | 3680 | 10791 |
| Abcbabaa |
539 | 499 | 13962 |
| Abacabba |
648 | 2543 | 11809 |
| Abbacaba |
823 | 4884 | 9293 |
| Abcbaaba |
848 | 2372 | 11780 |
| Abbcaaba |
956 | 3374 | 10670 |
| Aabcbbaa |
1022 | 3149 | 10829 |
| Abcbbaaa |
1110 | 691 | 13199 |
| Aabbcaba |
1282 | 2275 | 11443 |
| Abbcabaa |
1565 | 1379 | 12056 |
| Aabbcbaa |
1899 | 2919 | 10182 |
| Abbcbaaa |
2385 | 508 | 12107 |
| |
| Projections |
| Variety | Problem | # |
| Fl(2;6) |
(W )3W
| 2 |
| Fl(1,2;6) |
A53(W )3
| |
| Fl(2,4,5;6) |
A35126(W )3(Y )3Z
| |
|
|