| | Number of Real Solutions |
| Necklaces |
0 |
2 | 4 | 6 | 8 | 10 |
12 |
| DbCaAB |
0 | 0 | 0 | 14 |
164 | 154 | 168 |
| DaCBbA |
0 | 0 | 0 | 18 |
58 | 166 | 258 |
| DAbBaC |
0 | 0 | 0 | 19 |
20 | 129 | 332 |
| DbBaAC |
0 | 0 | 0 | 19 |
86 | 186 | 209 |
| DbBCaA |
0 | 0 | 0 | 21 |
125 | 154 | 200 |
| DaACBb |
0 | 0 | 0 | 21 |
130 | 236 | 113 |
| DbCAaB |
0 | 0 | 0 | 27 |
106 | 167 | 200 |
| DBaCbA |
0 | 0 | 0 | 29 |
105 | 269 | 97 |
| DAaBbC |
0 | 0 | 0 | 33 |
126 | 143 | 198 |
| DbaACB |
0 | 0 | 0 | 40 |
112 | 141 | 207 |
| DBCbaA |
0 | 0 | 0 | 54 |
166 | 168 | 112 |
| DaBCbA |
0 | 0 | 1 | 30 |
185 | 178 | 106 |
| DaCbBA |
0 | 0 | 1 | 60 |
137 | 156 | 146 |
| DabCBA |
0 | 0 | 2 | 29 |
206 | 169 | 94 |
| DAabBC |
0 | 0 | 2 | 65 |
163 | 146 | 124 |
| DBAabC |
0 | 0 | 2 | 85 |
151 | 132 | 130 |
| DaABbC |
0 | 0 | 2 | 107 |
159 | 156 | 76 |
| DabACB |
0 | 0 | 3 | 21 |
133 | 230 | 113 |
| DbaBCA |
0 | 0 | 3 | 72 |
158 | 141 | 126 |
| DaACbB |
0 | 0 | 3 | 76 |
134 | 204 | 83 |
| DBCaAb |
0 | 0 | 4 | 23 |
107 | 148 | 218 |
| DAbaBC |
0 | 0 | 5 | 45 |
150 | 153 | 147 |
| DABbaC |
0 | 0 | 5 | 84 |
123 | 164 | 124 |
| DbBAaC |
0 | 0 | 7 | 13 |
121 | 185 | 174 |
| DabBCA |
0 | 0 | 7 | 28 |
133 | 153 | 179 |
| DBaAbC |
0 | 0 | 8 | 35 |
132 | 213 | 112 |
| DaCABb |
0 | 0 | 8 | 44 |
131 | 212 | 105 |
| DBCabA |
0 | 0 | 9 | 12 |
93 | 306 | 80 |
| DABabC |
0 | 0 | 10 | 80 |
118 | 193 | 99 |
| DaBAbC |
0 | 0 | 10 | 129 |
206 | 128 | 27 |
| DabBAC |
0 | 0 | 12 | 91 |
154 | 161 | 82 |
| DbBaCA |
0 | 0 | 14 | 58 |
104 | 90 | 234 |
| DaAbCB |
0 | 0 | 14 | 63 |
173 | 170 | 80 |
| DabCAB |
0 | 0 | 14 | 89 |
200 | 162 | 35 |
| DaCBAb |
0 | 0 | 17 | 73 |
139 | 172 | 99 |
| DbaABC |
0 | 0 | 21 | 99 |
171 | 141 | 68 |
| DaABCb |
0 | 0 | 22 | 65 |
154 | 182 | 77 |
| DaBbCA |
0 | 0 | 23 | 98 |
179 | 93 | 107 |
| DBbCaA |
0 | 0 | 26 | 152 |
130 | 117 | 75 |
| DbACaB |
0 | 0 | 27 | 112 |
141 | 141 | 79 |
| DBbACa |
0 | 0 | 35 | 91 |
130 | 161 | 83 |
| DbaCBA |
0 | 0 | 36 | 70 |
90 | 171 | 133 |
| DbaCAB |
0 | 0 | 38 | 77 |
212 | 136 | 37 |
| DaBbAC |
0 | 0 | 38 | 88 |
191 | 103 | 80 |
| DBabAC |
0 | 0 | 41 | 71 |
108 | 198 | 82 |
| DBbAaC |
0 | 0 | 46 | 143 |
138 | 111 | 62 |
| DbCaBA |
0 | 0 | 59 | 102 |
76 | 134 | 129 |
| DBabCA |
0 | 0 | 67 | 70 |
122 | 159 | 82 |
| DBbaCA |
0 | 0 | 67 | 174 |
109 | 95 | 55 |
| DaCbAB |
0 | 1 | 13 | 66 |
106 | 256 | 58 |
| DbaBAC |
0 | 1 | 24 | 72 |
187 | 123 | 93 |
| DBAbaC |
0 | 2 | 7 | 129 |
195 | 149 | 18 |
| DBbaAC |
0 | 2 | 50 | 141 |
115 | 112 | 80 |
| DbAaBC |
0 | 3 | 44 | 87 |
165 | 157 | 44 |
| DabABC |
0 | 4 | 28 | 90 |
153 | 154 | 71 |
| DbCBaA |
0 | 5 | 35 | 65 |
171 | 116 | 108 |
| DaBACb |
0 | 6 | 36 | 109 |
146 | 128 | 75 |
| DaBCAb |
0 | 7 | 25 | 78 |
158 | 163 | 69 |
| DaAbBC |
0 | 10 | 50 | 121 |
116 | 133 | 70 |
| DbABaC |
0 | 22 | 106 | 108 |
127 | 105 | 32 |
| |
| Projections |
| Variety | Problem | # |
| Fl(1,2,3,4;6) |
A1325A2143A3146W W X
| |
|
|