| | Number of Real Solutions |
| Necklaces |
0 |
2 | 4 |
| Aaabdcc |
0 | 0 | 15000 |
| Aaabccd |
0 | 0 | 15000 |
| Accdaab |
0 | 0 | 15000 |
| Adccaba |
0 | 0 | 15000 |
| Adccaab |
0 | 0 | 15000 |
| Aabadcc |
0 | 0 | 15000 |
| Acdcbaa |
0 | 0 | 15000 |
| Aacdcba |
0 | 0 | 15000 |
| Acdcaba |
0 | 0 | 15000 |
| Acdcaab |
0 | 0 | 15000 |
| Acabadc |
0 | 0 | 15000 |
| Aaccdba |
0 | 47 | 14953 |
| Acaabdc |
0 | 47 | 14953 |
| Aabccda |
0 | 127 | 14873 |
| Acdaabc |
0 | 127 | 14873 |
| Aabcadc |
0 | 333 | 14667 |
| Adcacba |
0 | 1963 | 13037 |
| Abacadc |
0 | 1963 | 13037 |
| Acabacd |
0 | 2216 | 12784 |
| Aacdcab |
0 | 2216 | 12784 |
| Aabdcac |
0 | 2692 | 12308 |
| Aacabdc |
0 | 3266 | 11734 |
| Adcacab |
0 | 3469 | 11531 |
| Acbaacd |
0 | 3569 | 11431 |
| Aaccbda |
0 | 3754 | 11246 |
| Acbdaac |
0 | 3897 | 11103 |
| Acdaacb |
0 | 4100 | 10900 |
| Acadcba |
0 | 4241 | 10759 |
| Aacbadc |
0 | 4241 | 10759 |
| Abaccda |
0 | 4392 | 10608 |
| Abccdaa |
0 | 4675 | 10325 |
| Aaacbdc |
0 | 4709 | 10291 |
| Accadba |
0 | 4709 | 10291 |
| Acabdca |
0 | 4750 | 10250 |
| Accbaad |
0 | 4948 | 10052 |
| Abadcca |
0 | 5024 | 9976 |
| Adcbaac |
0 | 5024 | 9976 |
| Adaccba |
0 | 5041 | 9959 |
| Accaadb |
0 | 5155 | 9845 |
| Adbccaa |
0 | 5170 | 9830 |
| Abdccaa |
0 | 5358 | 9642 |
| Accaabd |
0 | 5587 | 9413 |
| Acabcda |
0 | 5652 | 9348 |
| Accabad |
0 | 5824 | 9176 |
| Aaacdcb |
0 | 5824 | 9176 |
| Abcacda |
0 | 6994 | 8006 |
| Aacbdca |
0 | 7353 | 7647 |
| Acadbac |
0 | 7353 | 7647 |
| Adcbcaa |
0 | 7978 | 7022 |
| Abadacc |
0 | 7978 | 7022 |
| Adcabca |
0 | 8352 | 6648 |
| Acadcab |
0 | 8389 | 6611 |
| Adcbaca |
0 | 9105 | 5895 |
| Abadcac |
0 | 9105 | 5895 |
| Acbdcaa |
1 | 4798 | 10201 |
| Acbcaad |
1 | 5088 | 9911 |
| Acbadca |
1 | 5481 | 9518 |
| Acacadb |
1 | 7496 | 7503 |
| Acabcad |
2 | 5073 | 9925 |
| Acbacad |
2 | 5652 | 9346 |
| Adbcaca |
2 | 7642 | 7356 |
| Aacbcda |
3 | 7275 | 7722 |
| Abcadca |
4 | 6150 | 8846 |
| Accabda |
5 | 5193 | 9802 |
| Abccada |
5 | 5981 | 9014 |
| Acbadac |
6 | 7487 | 7507 |
| Acbacda |
19 | 5282 | 9699 |
| Acacbda |
34 | 6917 | 8049 |
| Aacadbc |
34 | 6917 | 8049 |
| Acacabd |
40 | 5253 | 9707 |
| Acadacb |
44 | 10185 | 4771 |
| Abdcaca |
65 | 5796 | 9139 |
| Acadbca |
82 | 5451 | 9467 |
| Adacbca |
90 | 10230 | 4680 |
| Acacbad |
102 | 5629 | 9269 |
| Aacadcb |
102 | 5629 | 9269 |
| Abdcaac |
153 | 4818 | 10029 |
| Adbacca |
153 | 4818 | 10029 |
| Adaaccb |
270 | 3983 | 10747 |
| Aaccadb |
278 | 5177 | 9545 |
| Abcdaac |
302 | 6555 | 8143 |
| Adabcca |
302 | 6555 | 8143 |
| Adbcaac |
444 | 6430 | 8126 |
| Acbcdaa |
573 | 6217 | 8210 |
| Accbada |
596 | 6191 | 8213 |
| Acbcada |
750 | 6824 | 7426 |
| Aaadbcc |
795 | 3814 | 10391 |
| Adcaacb |
1382 | 9163 | 4455 |
| Adaccab |
1439 | 9080 | 4481 |
| Adacacb |
3756 | 6732 | 4512 |
| |
Problems fibred over
A2316(W )2W (Y )2Y |
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