| | Number of Real Solutions |
| Necklaces |
1 | 3 | 5 |
7 | 9 | 11 | 13 | 15 |
| badccccaa |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 50 |
| baaaccccd |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 50 |
| bccdccaaa |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 50 |
| bcccdcaaa |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 50 |
| bccccdaaa |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 50 |
| bacdcccaa |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 50 |
| baccdccaa |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 50 |
| bacccdcaa |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 50 |
| baccccdaa |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 50 |
| baaacccdc |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 50 |
| bcccaaacd |
0 | 0 | 0 | 0 |
0 | 2 | 15 | 33 |
| bcccaaadc |
0 | 0 | 0 | 0 |
0 | 10 | 17 | 23 |
| bcaccdaca |
0 | 0 | 0 | 0 |
0 | 17 | 25 | 8 |
| bcaaacccd |
0 | 0 | 0 | 0 |
1 | 3 | 8 | 38 |
| bccaaaccd |
0 | 0 | 0 | 0 |
1 | 3 | 12 | 34 |
| bccaaacdc |
0 | 0 | 0 | 0 |
1 | 3 | 16 | 30 |
| bcaaacdcc |
0 | 0 | 0 | 0 |
1 | 4 | 6 | 39 |
| bcacdcaca |
0 | 0 | 0 | 0 |
1 | 12 | 25 | 12 |
| bcaccdcaa |
0 | 0 | 0 | 0 |
1 | 13 | 13 | 23 |
| bdaccccaa |
0 | 0 | 0 | 0 |
1 | 14 | 21 | 14 |
| baacccacd |
0 | 0 | 0 | 0 |
1 | 16 | 23 | 10 |
| bcacccdaa |
0 | 0 | 0 | 0 |
1 | 18 | 8 | 23 |
| baacdcacc |
0 | 0 | 0 | 0 |
1 | 21 | 22 | 6 |
| bccaaadcc |
0 | 0 | 0 | 0 |
2 | 2 | 17 | 29 |
| bcccdaaac |
0 | 0 | 0 | 0 |
2 | 5 | 9 | 34 |
| bccccaaad |
0 | 0 | 0 | 0 |
2 | 7 | 10 | 31 |
| bacccacda |
0 | 0 | 0 | 0 |
2 | 8 | 31 | 9 |
| bcadccaca |
0 | 0 | 0 | 0 |
2 | 8 | 31 | 9 |
| bcdccaaac |
0 | 0 | 0 | 0 |
3 | 3 | 10 | 34 |
| bcacdccaa |
0 | 0 | 0 | 0 |
3 | 8 | 15 | 24 |
| badccacca |
0 | 0 | 0 | 0 |
3 | 22 | 20 | 5 |
| bacdcacca |
0 | 0 | 0 | 0 |
4 | 17 | 21 | 8 |
| bccadcaca |
0 | 0 | 0 | 0 |
4 | 18 | 23 | 5 |
| bdcacacca |
0 | 0 | 0 | 0 |
4 | 23 | 14 | 9 |
| bcccacdaa |
0 | 0 | 0 | 0 |
4 | 26 | 17 | 3 |
| bcdaaccca |
0 | 0 | 0 | 0 |
4 | 27 | 17 | 2 |
| bccaadcca |
0 | 0 | 0 | 0 |
5 | 17 | 19 | 9 |
| bdaacccca |
0 | 0 | 0 | 0 |
7 | 12 | 11 | 20 |
| bcaadcacc |
0 | 0 | 0 | 0 |
8 | 15 | 14 | 13 |
| bcacadcca |
0 | 0 | 0 | 0 |
9 | 9 | 18 | 14 |
| bcdacccaa |
0 | 0 | 0 | 0 |
10 | 14 | 18 | 8 |
| bcccaacda |
0 | 0 | 0 | 0 |
10 | 22 | 13 | 5 |
| bcacdacca |
0 | 0 | 0 | 0 |
11 | 13 | 18 | 8 |
| baccacadc |
0 | 0 | 0 | 0 |
11 | 23 | 11 | 5 |
| bacccacad |
0 | 0 | 0 | 0 |
15 | 19 | 12 | 4 |
| bccaccdaa |
0 | 0 | 0 | 1 |
0 | 20 | 24 | 5 |
| baacccdac |
0 | 0 | 0 | 1 |
2 | 6 | 23 | 18 |
| bcccaadca |
0 | 0 | 0 | 1 |
3 | 11 | 24 | 11 |
| bccadccaa |
0 | 0 | 0 | 1 |
5 | 14 | 24 | 6 |
| badacccca |
0 | 0 | 0 | 1 |
5 | 15 | 11 | 18 |
| baccdacca |
0 | 0 | 0 | 1 |
5 | 23 | 16 | 5 |
| bcaadccac |
0 | 0 | 0 | 1 |
6 | 16 | 22 | 5 |
| bccccadaa |
0 | 0 | 0 | 1 |
6 | 22 | 12 | 9 |
| bacdaccca |
0 | 0 | 0 | 1 |
6 | 23 | 16 | 4 |
| badcccaca |
0 | 0 | 0 | 1 |
7 | 7 | 5 | 30 |
| bacccdaca |
0 | 0 | 0 | 1 |
7 | 10 | 11 | 21 |
| bccaacdca |
0 | 0 | 0 | 1 |
7 | 16 | 17 | 9 |
| bcdacacac |
0 | 0 | 0 | 1 |
7 | 16 | 23 | 3 |
| bdcaaccca |
0 | 0 | 0 | 1 |
8 | 24 | 13 | 4 |
| bdacccaca |
0 | 0 | 0 | 1 |
10 | 19 | 12 | 8 |
| bcaccacda |
0 | 0 | 0 | 1 |
13 | 11 | 20 | 5 |
| bccccaada |
0 | 0 | 0 | 1 |
14 | 17 | 15 | 3 |
| bccacacda |
0 | 0 | 0 | 1 |
16 | 20 | 8 | 5 |
| bcaacdcac |
0 | 0 | 0 | 2 |
6 | 11 | 22 | 9 |
| baccdcaca |
0 | 0 | 0 | 2 |
7 | 13 | 2 | 26 |
| bcacaccda |
0 | 0 | 0 | 2 |
7 | 16 | 12 | 13 |
| bccacdaca |
0 | 0 | 0 | 2 |
8 | 13 | 20 | 7 |
| bcaacdacc |
0 | 0 | 0 | 2 |
8 | 20 | 10 | 10 |
| bccaccaad |
0 | 0 | 0 | 2 |
8 | 20 | 14 | 6 |
| bdaccacca |
0 | 0 | 0 | 2 |
8 | 22 | 15 | 3 |
| bacdccaca |
0 | 0 | 0 | 2 |
10 | 9 | 1 | 28 |
| bccaadcac |
0 | 0 | 0 | 2 |
10 | 14 | 12 | 12 |
| bdcaccaca |
0 | 0 | 0 | 2 |
10 | 15 | 20 | 3 |
| bccdcaaca |
0 | 0 | 0 | 2 |
12 | 13 | 8 | 15 |
| bcacaccad |
0 | 0 | 0 | 2 |
12 | 19 | 9 | 8 |
| bccdaacca |
0 | 0 | 0 | 2 |
14 | 16 | 13 | 5 |
| bccaacdac |
0 | 0 | 0 | 2 |
21 | 15 | 10 | 2 |
| bccdcacaa |
0 | 0 | 0 | 3 |
2 | 6 | 7 | 32 |
| bcaadaccc |
0 | 0 | 0 | 3 |
8 | 15 | 12 | 12 |
| bcacccaad |
0 | 0 | 0 | 3 |
9 | 19 | 14 | 5 |
| bcccdaaca |
0 | 0 | 0 | 3 |
11 | 11 | 14 | 11 |
| bccaaccda |
0 | 0 | 0 | 3 |
11 | 22 | 8 | 6 |
| bcccadaca |
0 | 0 | 0 | 3 |
20 | 15 | 8 | 4 |
| bcdccacaa |
0 | 0 | 0 | 4 |
4 | 4 | 2 | 36 |
| bacccdaac |
0 | 0 | 0 | 4 |
8 | 9 | 6 | 23 |
| bcccadcaa |
0 | 0 | 0 | 4 |
8 | 15 | 15 | 8 |
| bcacadcac |
0 | 0 | 0 | 4 |
13 | 16 | 9 | 8 |
| bdacacacc |
0 | 0 | 0 | 5 |
6 | 18 | 14 | 7 |
| bcaacccad |
0 | 0 | 0 | 5 |
7 | 18 | 18 | 2 |
| bcaccadca |
0 | 0 | 0 | 5 |
8 | 14 | 15 | 8 |
| bdaccaacc |
0 | 0 | 0 | 5 |
11 | 19 | 11 | 4 |
| bccacadca |
0 | 0 | 0 | 5 |
13 | 13 | 9 | 10 |
| bcdaccaac |
0 | 0 | 0 | 5 |
15 | 15 | 12 | 3 |
| bacccadac |
0 | 0 | 0 | 6 |
17 | 18 | 5 | 4 |
| bccadacca |
0 | 0 | 0 | 6 |
18 | 15 | 9 | 2 |
| bcccdacaa |
0 | 0 | 0 | 7 |
5 | 9 | 4 | 25 |
| bcdaccaca |
0 | 0 | 0 | 7 |
6 | 18 | 13 | 6 |
| bcacacdac |
0 | 0 | 0 | 8 |
14 | 14 | 13 | 1 |
| bccaacacd |
0 | 0 | 0 | 9 |
2 | 8 | 16 | 15 |
| bcacacacd |
0 | 0 | 0 | 9 |
3 | 14 | 17 | 7 |
| bcaacdcca |
0 | 0 | 1 | 1 |
9 | 9 | 8 | 22 |
| bcaccacad |
0 | 0 | 1 | 1 |
11 | 26 | 9 | 2 |
| bcacccada |
0 | 0 | 1 | 1 |
14 | 12 | 17 | 5 |
| bcaacccda |
0 | 0 | 1 | 2 |
7 | 10 | 8 | 22 |
| bacdcacac |
0 | 0 | 1 | 2 |
10 | 8 | 14 | 15 |
| bcaaccdca |
0 | 0 | 1 | 2 |
10 | 10 | 6 | 21 |
| baaccaccd |
0 | 0 | 1 | 3 |
9 | 10 | 20 | 7 |
| bcccaacad |
0 | 0 | 1 | 4 |
4 | 14 | 15 | 12 |
| bcacaaccd |
0 | 0 | 1 | 4 |
8 | 8 | 12 | 17 |
| bcdccaaca |
0 | 0 | 1 | 4 |
11 | 12 | 8 | 14 |
| bcaccaacd |
0 | 0 | 1 | 4 |
11 | 17 | 14 | 3 |
| baccacdac |
0 | 0 | 1 | 4 |
12 | 15 | 10 | 8 |
| bcdcaacca |
0 | 0 | 1 | 4 |
12 | 18 | 10 | 5 |
| bcccacada |
0 | 0 | 1 | 5 |
21 | 15 | 8 | 0 |
| bccacaacd |
0 | 0 | 1 | 6 |
9 | 5 | 17 | 12 |
| bccdacaca |
0 | 0 | 1 | 6 |
11 | 17 | 11 | 4 |
| bccaadacc |
0 | 0 | 1 | 6 |
14 | 9 | 14 | 6 |
| bcaccaadc |
0 | 0 | 1 | 6 |
14 | 16 | 12 | 1 |
| bcdcacaca |
0 | 0 | 1 | 8 |
11 | 16 | 10 | 4 |
| bccaccada |
0 | 0 | 1 | 8 |
16 | 13 | 10 | 2 |
| bccacaadc |
0 | 0 | 1 | 9 |
8 | 18 | 6 | 8 |
| bcaaccdac |
0 | 0 | 2 | 1 |
2 | 16 | 21 | 8 |
| bcacaadcc |
0 | 0 | 2 | 2 |
9 | 9 | 17 | 11 |
| baccaaccd |
0 | 0 | 2 | 2 |
14 | 18 | 8 | 6 |
| bcacaacdc |
0 | 0 | 2 | 3 |
5 | 11 | 14 | 15 |
| bcccaadac |
0 | 0 | 2 | 3 |
7 | 16 | 11 | 11 |
| bcaaccacd |
0 | 0 | 2 | 4 |
15 | 10 | 9 | 10 |
| bcdcaccaa |
0 | 0 | 2 | 6 |
6 | 12 | 15 | 9 |
| bcaccadac |
0 | 0 | 2 | 14 |
19 | 9 | 4 | 2 |
| bacaacccd |
0 | 0 | 3 | 3 |
14 | 10 | 11 | 9 |
| bccdaccaa |
0 | 0 | 3 | 4 |
5 | 14 | 17 | 7 |
| bcacadacc |
0 | 0 | 3 | 7 |
20 | 6 | 10 | 4 |
| baacacccd |
0 | 0 | 4 | 5 |
6 | 2 | 7 | 26 |
| bdccacaca |
0 | 0 | 4 | 6 |
12 | 10 | 14 | 4 |
| bcaacadcc |
0 | 0 | 4 | 8 |
5 | 6 | 9 | 18 |
| bccaacadc |
0 | 0 | 4 | 8 |
7 | 8 | 14 | 9 |
| bcaacacdc |
0 | 0 | 5 | 11 |
5 | 4 | 4 | 21 |
| bcccacaad |
0 | 0 | 6 | 6 |
7 | 4 | 9 | 18 |
| bcaacaccd |
0 | 0 | 8 | 7 |
3 | 8 | 4 | 20 |
| bccacadac |
0 | 1 | 3 | 9 |
19 | 9 | 3 | 6 |
|