| | Number of Real Solutions |
| Necklaces |
0 |
2 | 4 | 6 | 8 | 10 |
12 | 14 | 16 | 18 |
| bdcccaa |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 500 |
| badccca |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 500 |
| baadccc |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 500 |
| baacdcc |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 500 |
| baaccdc |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 500 |
| bacdcca |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 |
0 | 500 |
| bdaaccc |
0 | 0 | 0 | 0 |
0 | 0 | 35 | 141 |
145 | 179 |
| bdaccca |
0 | 0 | 0 | 0 |
0 | 0 | 41 | 140 |
111 | 208 |
| bacdacc |
0 | 0 | 0 | 0 |
0 | 4 | 77 | 148 |
116 | 155 |
| badaccc |
0 | 0 | 0 | 0 |
0 | 6 | 99 | 96 |
62 | 237 |
| bdcaacc |
0 | 0 | 0 | 0 |
0 | 9 | 111 | 121 |
170 | 89 |
| bcdaacc |
0 | 0 | 0 | 0 |
0 | 14 | 46 | 186 |
163 | 91 |
| bacdcac |
0 | 0 | 0 | 0 |
0 | 14 | 110 | 112 |
147 | 117 |
| bcadcac |
0 | 0 | 0 | 0 |
0 | 17 | 114 | 195 |
118 | 56 |
| baccadc |
0 | 0 | 0 | 0 |
0 | 18 | 44 | 167 |
209 | 62 |
| badcacc |
0 | 0 | 0 | 0 |
0 | 18 | 149 | 170 |
73 | 90 |
| badccac |
0 | 0 | 0 | 0 |
0 | 30 | 166 | 170 |
47 | 87 |
| bdcacca |
0 | 0 | 0 | 0 |
0 | 44 | 141 | 138 |
64 | 113 |
| bdaccac |
0 | 0 | 0 | 0 |
4 | 57 | 122 | 162 |
112 | 43 |
| bcdcaac |
0 | 0 | 0 | 0 |
6 | 41 | 38 | 95 |
98 | 222 |
| bcaadcc |
0 | 0 | 0 | 0 |
13 | 11 | 83 | 52 |
30 | 311 |
| bdccaac |
0 | 0 | 0 | 0 |
17 | 21 | 64 | 89 |
126 | 183 |
| bacadcc |
0 | 0 | 0 | 0 |
23 | 87 | 113 | 86 |
83 | 108 |
| baccdac |
0 | 0 | 0 | 1 |
1 | 9 | 84 | 91 |
138 | 176 |
| bcadacc |
0 | 0 | 0 | 1 |
8 | 16 | 118 | 74 |
26 | 257 |
| bacacdc |
0 | 0 | 4 | 11 |
31 | 55 | 71 | 146 |
81 | 101 |
| bdccaca |
0 | 0 | 18 | 11 |
30 | 64 | 107 | 97 |
33 | 140 |
| bcdacac |
0 | 0 | 28 | 25 |
54 | 97 | 111 | 124 |
44 | 17 |
| bdcacac |
0 | 0 | 36 | 43 |
46 | 90 | 112 | 90 |
51 | 32 |
| bdacacc |
0 | 0 | 49 | 37 |
23 | 61 | 100 | 103 |
81 | 46 |
|