| | Number of Real Solutions |
| Necklaces |
0 |
2 | 4 | 6 | 8 | 10 |
12 |
| AAaaabbb |
0 | 0 | 0 | 9 |
41 | 57 | 393 |
| AAbaaabb |
0 | 0 | 0 | 65 |
141 | 191 | 103 |
| AAaabbba |
0 | 0 | 0 | 71 |
170 | 161 | 98 |
| AAabaabb |
0 | 0 | 2 | 80 |
200 | 145 | 73 |
| AaabAbba |
0 | 0 | 4 | 85 |
228 | 111 | 72 |
| AAaabbab |
0 | 0 | 4 | 103 |
186 | 135 | 72 |
| AaabbAba |
0 | 0 | 14 | 108 |
230 | 112 | 36 |
| AaaaAbbb |
0 | 0 | 14 | 125 |
180 | 102 | 79 |
| AAbaabab |
0 | 0 | 25 | 129 |
201 | 118 | 27 |
| AAaababb |
0 | 0 | 31 | 109 |
116 | 139 | 105 |
| AAababba |
0 | 0 | 33 | 125 |
206 | 118 | 18 |
| AaabbaAb |
0 | 1 | 75 | 174 |
181 | 62 | 7 |
| AAabbaab |
0 | 3 | 23 | 48 |
220 | 155 | 51 |
| AaAaabbb |
0 | 3 | 23 | 170 |
193 | 83 | 28 |
| AaAbaabb |
0 | 5 | 94 | 192 |
132 | 66 | 11 |
| AaaabbAb |
0 | 6 | 22 | 129 |
199 | 125 | 19 |
| AabaAbab |
0 | 6 | 67 | 163 |
157 | 76 | 31 |
| AabAabba |
0 | 10 | 117 | 159 |
150 | 48 | 16 |
| AaAabbba |
0 | 12 | 77 | 153 |
184 | 54 | 20 |
| AbAbaaab |
0 | 12 | 77 | 153 |
184 | 54 | 20 |
| AabaAabb |
0 | 14 | 120 | 164 |
141 | 56 | 5 |
| AaAabbab |
0 | 18 | 59 | 139 |
209 | 70 | 5 |
| AabAbaab |
0 | 18 | 99 | 165 |
146 | 60 | 12 |
| AaAababb |
0 | 19 | 105 | 169 |
141 | 54 | 12 |
| AaaabAbb |
0 | 25 | 80 | 132 |
168 | 72 | 23 |
| AaabAabb |
0 | 25 | 209 | 107 |
98 | 50 | 11 |
| AabaabAb |
0 | 26 | 73 | 152 |
173 | 74 | 2 |
| AaababAb |
0 | 26 | 117 | 163 |
126 | 60 | 8 |
| AaAbabab |
0 | 29 | 109 | 181 |
140 | 36 | 5 |
| AaaAabbb |
0 | 32 | 78 | 139 |
152 | 83 | 16 |
| AababaAb |
0 | 38 | 88 | 171 |
153 | 43 | 7 |
| AaabaAbb |
0 | 56 | 129 | 140 |
103 | 64 | 8 |
| AaaAbabb |
0 | 57 | 118 | 125 |
136 | 56 | 8 |
| AaabAbab |
1 | 12 | 80 | 182 |
159 | 57 | 9 |
| AAababab |
1 | 12 | 125 | 123 |
147 | 72 | 20 |
| AaabbAab |
3 | 13 | 92 | 169 |
124 | 74 | 25 |
| AabAbaba |
4 | 26 | 119 | 174 |
128 | 40 | 9 |
| AabAabab |
7 | 14 | 83 | 130 |
160 | 85 | 21 |
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