| | Number of Real Solutions |
| Necklaces |
1 | 3 | 5 |
7 | 9 | 11 | 13 | 15 |
| baadcccA |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 500 |
| baaAccdc |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 500 |
| baAcccda |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 500 |
| baacdccA |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 500 |
| bacccdAa |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 500 |
| baacccdA |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 500 |
| baAccdca |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 500 |
| baAcdcca |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 500 |
| bAcdccaa |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 500 |
| bccdcAaa |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 500 |
| bdcccAaa |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 500 |
| bcccdAaa |
0 | 0 | 0 | 0 |
0 | 0 | 0 | 500 |
| baAccdac |
0 | 0 | 0 | 0 |
0 | 8 | 209 | 283 |
| bcaaAcdc |
0 | 0 | 0 | 0 |
2 | 26 | 48 | 424 |
| bcAccdaa |
0 | 0 | 0 | 0 |
2 | 324 | 109 | 65 |
| bccaaAdc |
0 | 0 | 0 | 0 |
3 | 17 | 148 | 332 |
| bccAaadc |
0 | 0 | 0 | 0 |
3 | 76 | 160 | 261 |
| bdcaaAcc |
0 | 0 | 0 | 0 |
4 | 10 | 152 | 334 |
| bcaaAdcc |
0 | 0 | 0 | 0 |
4 | 11 | 49 | 436 |
| bdcAaacc |
0 | 0 | 0 | 0 |
4 | 24 | 173 | 299 |
| bdccAaac |
0 | 0 | 0 | 0 |
4 | 31 | 73 | 392 |
| bcacdcAa |
0 | 0 | 0 | 0 |
5 | 37 | 176 | 282 |
| bcaccdAa |
0 | 0 | 0 | 0 |
6 | 44 | 172 | 278 |
| bdAaaccc |
0 | 0 | 0 | 0 |
6 | 46 | 164 | 284 |
| bdAcccaa |
0 | 0 | 0 | 0 |
7 | 143 | 234 | 116 |
| bcAcdcaa |
0 | 0 | 0 | 0 |
7 | 261 | 172 | 60 |
| baaccAcd |
0 | 0 | 0 | 0 |
9 | 98 | 235 | 158 |
| baaccdAc |
0 | 0 | 0 | 0 |
11 | 216 | 125 | 148 |
| baAccacd |
0 | 0 | 0 | 0 |
16 | 109 | 249 | 126 |
| bacccAda |
0 | 0 | 0 | 0 |
16 | 174 | 187 | 123 |
| bcccAaad |
0 | 0 | 0 | 0 |
20 | 39 | 118 | 323 |
| bccdaaAc |
0 | 0 | 0 | 0 |
23 | 129 | 151 | 197 |
| bacadccA |
0 | 0 | 0 | 0 |
32 | 71 | 147 | 250 |
| bdcccaaA |
0 | 0 | 0 | 0 |
32 | 106 | 127 | 235 |
| baaccAdc |
0 | 0 | 0 | 0 |
36 | 96 | 268 | 100 |
| bacacdcA |
0 | 0 | 0 | 0 |
37 | 137 | 82 | 244 |
| bacAcdac |
0 | 0 | 0 | 0 |
37 | 197 | 176 | 90 |
| bcacdAca |
0 | 0 | 0 | 0 |
39 | 153 | 171 | 137 |
| bcccAdaa |
0 | 0 | 0 | 0 |
40 | 144 | 164 | 152 |
| bcdccaaA |
0 | 0 | 0 | 0 |
45 | 106 | 104 | 245 |
| bdccaaAc |
0 | 0 | 0 | 0 |
49 | 101 | 141 | 209 |
| bacaccdA |
0 | 0 | 0 | 0 |
49 | 160 | 58 | 233 |
| bccdcaaA |
0 | 0 | 0 | 0 |
69 | 73 | 116 | 242 |
| bdaAccca |
0 | 0 | 0 | 0 |
80 | 127 | 134 | 159 |
| bccacdaA |
0 | 0 | 0 | 0 |
82 | 165 | 177 | 76 |
| bAaadccc |
0 | 0 | 0 | 0 |
94 | 56 | 76 | 274 |
| bAcccaad |
0 | 0 | 0 | 0 |
150 | 150 | 96 | 104 |
| bccAcdaa |
0 | 0 | 0 | 1 |
22 | 168 | 216 | 93 |
| bAcccada |
0 | 0 | 0 | 1 |
29 | 127 | 207 | 136 |
| bdacccAa |
0 | 0 | 0 | 1 |
47 | 102 | 177 | 173 |
| baAccadc |
0 | 0 | 0 | 1 |
57 | 144 | 216 | 82 |
| baccAadc |
0 | 0 | 0 | 1 |
63 | 150 | 132 | 154 |
| bacdaAcc |
0 | 0 | 0 | 1 |
85 | 151 | 84 | 179 |
| bcAcdaca |
0 | 0 | 0 | 2 |
8 | 198 | 247 | 45 |
| badcAcca |
0 | 0 | 0 | 2 |
14 | 105 | 236 | 143 |
| bcAdcaca |
0 | 0 | 0 | 2 |
21 | 173 | 256 | 48 |
| bAccacda |
0 | 0 | 0 | 2 |
32 | 129 | 251 | 86 |
| bccaadcA |
0 | 0 | 0 | 2 |
34 | 166 | 202 | 96 |
| bccacdAa |
0 | 0 | 0 | 2 |
39 | 90 | 244 | 125 |
| bAcacdca |
0 | 0 | 0 | 2 |
41 | 137 | 199 | 121 |
| bAdcacca |
0 | 0 | 0 | 2 |
51 | 153 | 197 | 97 |
| bccadcaA |
0 | 0 | 0 | 2 |
78 | 204 | 129 | 87 |
| bAcaccda |
0 | 0 | 0 | 3 |
28 | 186 | 189 | 94 |
| bAccadca |
0 | 0 | 0 | 3 |
41 | 145 | 166 | 145 |
| bAcadcca |
0 | 0 | 0 | 3 |
48 | 115 | 177 | 157 |
| bAcdacca |
0 | 0 | 0 | 3 |
83 | 181 | 122 | 111 |
| badccAca |
0 | 0 | 0 | 4 |
41 | 145 | 117 | 193 |
| bacAdcca |
0 | 0 | 0 | 4 |
44 | 218 | 88 | 146 |
| bcccaadA |
0 | 0 | 0 | 4 |
58 | 132 | 189 | 117 |
| bacccaAd |
0 | 0 | 0 | 4 |
65 | 197 | 159 | 75 |
| bcAdaacc |
0 | 0 | 0 | 4 |
104 | 112 | 132 | 148 |
| bcAaacdc |
0 | 0 | 0 | 5 |
43 | 93 | 155 | 204 |
| bccAdaac |
0 | 0 | 0 | 5 |
58 | 80 | 176 | 181 |
| bAccaadc |
0 | 0 | 0 | 6 |
43 | 183 | 182 | 86 |
| baccAdca |
0 | 0 | 0 | 6 |
44 | 99 | 244 | 107 |
| bccAacda |
0 | 0 | 0 | 6 |
67 | 226 | 132 | 69 |
| baAcdacc |
0 | 0 | 0 | 7 |
26 | 94 | 250 | 123 |
| bdcaAcca |
0 | 0 | 0 | 8 |
48 | 126 | 136 | 182 |
| bcaccdaA |
0 | 0 | 0 | 8 |
50 | 169 | 147 | 126 |
| bcaaccAd |
0 | 0 | 0 | 9 |
71 | 161 | 149 | 110 |
| bccAdaca |
0 | 0 | 0 | 10 |
90 | 145 | 130 | 125 |
| bccadAca |
0 | 0 | 0 | 10 |
96 | 173 | 139 | 82 |
| baccacAd |
0 | 0 | 0 | 11 |
65 | 168 | 180 | 76 |
| bdacAcca |
0 | 0 | 0 | 11 |
82 | 174 | 144 | 89 |
| bccaacdA |
0 | 0 | 0 | 12 |
121 | 170 | 120 | 77 |
| bAcaccad |
0 | 0 | 0 | 12 |
139 | 189 | 123 | 37 |
| bcaadcAc |
0 | 0 | 0 | 13 |
47 | 194 | 180 | 66 |
| bccAdcaa |
0 | 0 | 0 | 14 |
21 | 126 | 207 | 132 |
| bccaAdca |
0 | 0 | 0 | 14 |
68 | 110 | 122 | 186 |
| bAcacadc |
0 | 0 | 0 | 14 |
79 | 174 | 138 | 95 |
| bAadaccc |
0 | 0 | 0 | 15 |
78 | 165 | 108 | 134 |
| bcAacdca |
0 | 0 | 0 | 15 |
84 | 202 | 116 | 83 |
| bcacacAd |
0 | 0 | 0 | 15 |
103 | 165 | 148 | 69 |
| bacaccAd |
0 | 0 | 0 | 16 |
50 | 184 | 180 | 70 |
| bcccAada |
0 | 0 | 0 | 16 |
98 | 108 | 169 | 109 |
| bcacdcaA |
0 | 0 | 0 | 17 |
61 | 165 | 118 | 139 |
| bdacaAcc |
0 | 0 | 0 | 17 |
73 | 108 | 176 | 126 |
| bcAadcca |
0 | 0 | 0 | 19 |
59 | 182 | 129 | 111 |
| bdcaaccA |
0 | 0 | 0 | 19 |
75 | 166 | 138 | 102 |
| bacAccad |
0 | 0 | 0 | 20 |
170 | 182 | 98 | 30 |
| bcaadccA |
0 | 0 | 0 | 21 |
44 | 124 | 151 | 160 |
| bcccadAa |
0 | 0 | 0 | 21 |
80 | 182 | 134 | 83 |
| baccadAc |
0 | 0 | 0 | 23 |
102 | 217 | 109 | 49 |
| bcacacdA |
0 | 0 | 0 | 25 |
120 | 164 | 107 | 84 |
| bAcacacd |
0 | 0 | 0 | 28 |
76 | 145 | 134 | 117 |
| bcacadcA |
0 | 0 | 0 | 28 |
104 | 160 | 117 | 91 |
| bdcacAca |
0 | 0 | 0 | 31 |
96 | 128 | 158 | 87 |
| bAcdcaac |
0 | 0 | 0 | 34 |
84 | 129 | 131 | 122 |
| badccAac |
0 | 0 | 0 | 41 |
28 | 71 | 123 | 237 |
| bAaccadc |
0 | 0 | 0 | 41 |
115 | 179 | 106 | 59 |
| bccAadac |
0 | 0 | 0 | 42 |
104 | 128 | 147 | 79 |
| bAadccca |
0 | 0 | 0 | 51 |
192 | 93 | 77 | 87 |
| bcadcaAc |
0 | 0 | 0 | 56 |
139 | 187 | 93 | 25 |
| bcccdaAa |
0 | 0 | 0 | 76 |
72 | 191 | 37 | 124 |
| bacAcdca |
0 | 0 | 1 | 4 |
50 | 229 | 100 | 116 |
| bacdAcac |
0 | 0 | 1 | 12 |
75 | 144 | 148 | 120 |
| bccacAda |
0 | 0 | 1 | 14 |
97 | 195 | 143 | 50 |
| bdcAacca |
0 | 0 | 1 | 19 |
102 | 165 | 119 | 94 |
| bcaAdcca |
0 | 0 | 1 | 29 |
36 | 99 | 77 | 258 |
| bccacAad |
0 | 0 | 1 | 33 |
103 | 152 | 120 | 91 |
| bcaAcdca |
0 | 0 | 1 | 35 |
38 | 91 | 78 | 257 |
| bcadAacc |
0 | 0 | 1 | 36 |
127 | 132 | 73 | 131 |
| bacacAdc |
0 | 0 | 1 | 47 |
87 | 166 | 109 | 90 |
| bcAadcac |
0 | 0 | 1 | 53 |
121 | 142 | 117 | 66 |
| bAccacad |
0 | 0 | 2 | 6 |
110 | 202 | 103 | 77 |
| bcaccaAd |
0 | 0 | 2 | 17 |
115 | 198 | 111 | 57 |
| bdAacacc |
0 | 0 | 2 | 20 |
45 | 72 | 197 | 164 |
| bAdacacc |
0 | 0 | 2 | 22 |
166 | 147 | 78 | 85 |
| bAacdcca |
0 | 0 | 2 | 30 |
219 | 105 | 53 | 91 |
| bdacccaA |
0 | 0 | 2 | 31 |
98 | 163 | 174 | 32 |
| bdcaccaA |
0 | 0 | 2 | 35 |
109 | 137 | 144 | 73 |
| bacAcadc |
0 | 0 | 2 | 42 |
110 | 175 | 115 | 56 |
| badccaAc |
0 | 0 | 2 | 47 |
115 | 163 | 84 | 89 |
| bcacAdac |
0 | 0 | 2 | 56 |
147 | 150 | 100 | 45 |
| bAaccdca |
0 | 0 | 2 | 60 |
209 | 90 | 31 | 108 |
| bcaaccdA |
0 | 0 | 2 | 63 |
91 | 118 | 97 | 129 |
| bccaAcda |
0 | 0 | 3 | 17 |
83 | 107 | 140 | 150 |
| bcadccaA |
0 | 0 | 3 | 18 |
58 | 145 | 161 | 115 |
| baccaAdc |
0 | 0 | 3 | 22 |
61 | 195 | 128 | 91 |
| bcacaAdc |
0 | 0 | 3 | 28 |
54 | 126 | 169 | 120 |
| bdccacAa |
0 | 0 | 3 | 29 |
56 | 122 | 203 | 87 |
| bcacAadc |
0 | 0 | 3 | 32 |
117 | 125 | 133 | 90 |
| bcdacaAc |
0 | 0 | 3 | 42 |
68 | 134 | 147 | 106 |
| bdacAacc |
0 | 0 | 3 | 44 |
103 | 108 | 105 | 137 |
| bccAcada |
0 | 0 | 3 | 60 |
129 | 164 | 107 | 37 |
| bcacAacd |
0 | 0 | 3 | 61 |
103 | 90 | 106 | 137 |
| bccdAaca |
0 | 0 | 4 | 6 |
52 | 117 | 106 | 215 |
| bdccAaca |
0 | 0 | 4 | 11 |
44 | 116 | 114 | 211 |
| bcadAcca |
0 | 0 | 4 | 15 |
58 | 143 | 163 | 117 |
| bcacAcda |
0 | 0 | 4 | 20 |
55 | 127 | 172 | 122 |
| bAcaadcc |
0 | 0 | 4 | 28 |
98 | 112 | 158 | 100 |
| bacdacAc |
0 | 0 | 4 | 31 |
91 | 183 | 135 | 56 |
| bacccadA |
0 | 0 | 4 | 34 |
90 | 166 | 162 | 44 |
| bcacdacA |
0 | 0 | 4 | 36 |
111 | 158 | 129 | 62 |
| bcAcacda |
0 | 0 | 4 | 58 |
147 | 163 | 100 | 28 |
| bcaccAda |
0 | 0 | 5 | 12 |
66 | 170 | 174 | 73 |
| bdcacaAc |
0 | 0 | 5 | 31 |
63 | 160 | 144 | 97 |
| bccdacAa |
0 | 0 | 5 | 41 |
72 | 156 | 145 | 81 |
| bccaacAd |
0 | 0 | 5 | 58 |
122 | 117 | 115 | 83 |
| bcdacAac |
0 | 0 | 6 | 39 |
120 | 105 | 122 | 108 |
| baAcacdc |
0 | 0 | 6 | 47 |
74 | 134 | 174 | 65 |
| bcaccadA |
0 | 0 | 6 | 69 |
165 | 176 | 65 | 19 |
| bcccaAda |
0 | 0 | 7 | 26 |
106 | 161 | 117 | 83 |
| bdacacAc |
0 | 0 | 7 | 33 |
83 | 170 | 155 | 52 |
| bcAccaad |
0 | 0 | 7 | 48 |
77 | 169 | 111 | 88 |
| bdcAcaca |
0 | 0 | 7 | 51 |
70 | 122 | 156 | 94 |
| bcdaacAc |
0 | 0 | 7 | 86 |
141 | 85 | 104 | 77 |
| bacaAcdc |
0 | 0 | 8 | 5 |
62 | 121 | 84 | 220 |
| bcacaAcd |
0 | 0 | 8 | 21 |
66 | 98 | 184 | 123 |
| bcAccada |
0 | 0 | 8 | 59 |
166 | 184 | 68 | 15 |
| baacAcdc |
0 | 0 | 9 | 25 |
60 | 103 | 92 | 211 |
| bcaAcdac |
0 | 0 | 9 | 50 |
109 | 135 | 109 | 88 |
| bcAadacc |
0 | 0 | 9 | 62 |
104 | 116 | 112 | 97 |
| bcaAccad |
0 | 0 | 10 | 40 |
92 | 178 | 98 | 82 |
| baacAccd |
0 | 0 | 11 | 20 |
63 | 78 | 87 | 241 |
| bcadcacA |
0 | 0 | 11 | 52 |
150 | 141 | 89 | 57 |
| bccadAac |
0 | 0 | 11 | 55 |
109 | 120 | 96 | 109 |
| bccadacA |
0 | 0 | 11 | 63 |
111 | 110 | 135 | 70 |
| bdaccaAc |
0 | 0 | 12 | 34 |
139 | 170 | 106 | 39 |
| baacAdcc |
0 | 0 | 13 | 10 |
63 | 132 | 98 | 184 |
| bdccacaA |
0 | 0 | 13 | 21 |
53 | 100 | 142 | 171 |
| bdcaacAc |
0 | 0 | 13 | 73 |
88 | 112 | 130 | 84 |
| bcdaAacc |
0 | 0 | 13 | 89 |
68 | 31 | 104 | 195 |
| bccdacaA |
0 | 0 | 15 | 13 |
38 | 158 | 123 | 153 |
| bcacdAac |
0 | 0 | 15 | 50 |
67 | 122 | 120 | 126 |
| bcaacdAc |
0 | 0 | 16 | 24 |
85 | 168 | 139 | 68 |
| bccdaAca |
0 | 0 | 16 | 33 |
81 | 132 | 95 | 143 |
| bdcaAacc |
0 | 0 | 16 | 72 |
64 | 35 | 95 | 218 |
| badcccaA |
0 | 0 | 17 | 36 |
109 | 65 | 61 | 212 |
| bcacadAc |
0 | 0 | 17 | 77 |
119 | 165 | 74 | 48 |
| bAacacdc |
0 | 0 | 18 | 33 |
52 | 124 | 77 | 196 |
| bccdcaAa |
0 | 0 | 18 | 33 |
126 | 143 | 28 | 152 |
| bcadaccA |
0 | 0 | 21 | 55 |
137 | 130 | 91 | 66 |
| bacAacdc |
0 | 0 | 22 | 98 |
83 | 101 | 58 | 138 |
| bdccaAca |
0 | 0 | 31 | 61 |
75 | 88 | 83 | 162 |
| baAaccdc |
0 | 0 | 31 | 68 |
116 | 132 | 45 | 108 |
| bccdaAac |
0 | 0 | 32 | 106 |
58 | 65 | 60 | 179 |
| bcaacAdc |
0 | 0 | 33 | 43 |
76 | 111 | 76 | 161 |
| bcaacAcd |
0 | 0 | 37 | 60 |
85 | 58 | 74 | 186 |
| bdcccaAa |
0 | 0 | 42 | 28 |
96 | 81 | 102 | 151 |
| bdaAccac |
0 | 1 | 1 | 14 |
38 | 187 | 162 | 97 |
| bcacAcad |
0 | 1 | 7 | 32 |
144 | 142 | 99 | 75 |
| bcaAcacd |
0 | 1 | 7 | 65 |
134 | 101 | 92 | 100 |
| bAcaacdc |
0 | 1 | 9 | 25 |
74 | 133 | 154 | 104 |
| bAcaaccd |
0 | 1 | 18 | 26 |
70 | 128 | 129 | 128 |
| bccAcaad |
0 | 1 | 41 | 107 |
70 | 60 | 87 | 134 |
| bcadacAc |
0 | 2 | 18 | 100 |
121 | 122 | 93 | 44 |
| bdaAaccc |
0 | 2 | 46 | 84 |
82 | 52 | 47 | 187 |
| bdccaAac |
0 | 2 | 60 | 64 |
41 | 39 | 76 | 218 |
| bcaAacdc |
0 | 7 | 53 | 94 |
66 | 53 | 51 | 176 |
|