| | Number of Real Solutions |
| Necklaces |
0 |
2 | 4 | 6 | 8 | 10 |
12 |
| cbbaadd |
0 | 0 | 0 | 0 |
0 | 0 | 344 |
| cbabadd |
0 | 0 | 0 | 0 |
0 | 0 | 344 |
| cbaabdd |
0 | 0 | 0 | 0 |
0 | 0 | 344 |
| cabbadd |
0 | 0 | 0 | 0 |
0 | 0 | 344 |
| cababdd |
0 | 0 | 0 | 0 |
0 | 0 | 344 |
| caabbdd |
0 | 0 | 0 | 0 |
0 | 0 | 344 |
| cdbbaad |
0 | 0 | 0 | 0 |
0 | 0 | 344 |
| cdbabad |
0 | 0 | 0 | 0 |
0 | 0 | 344 |
| cdbaabd |
0 | 0 | 0 | 0 |
0 | 0 | 344 |
| cdabbad |
0 | 0 | 0 | 0 |
0 | 0 | 344 |
| caabdbd |
0 | 0 | 0 | 0 |
15 | 150 | 179 |
| cabdabd |
0 | 0 | 0 | 0 |
51 | 185 | 108 |
| cbdabad |
0 | 0 | 0 | 0 |
75 | 124 | 145 |
| cbadabd |
0 | 0 | 0 | 0 |
82 | 176 | 86 |
| cbaaddb |
0 | 0 | 0 | 0 |
84 | 169 | 91 |
| cbddaba |
0 | 0 | 0 | 0 |
94 | 124 | 126 |
| cbbdaad |
0 | 0 | 0 | 0 |
104 | 176 | 64 |
| cbdaabd |
0 | 0 | 0 | 0 |
121 | 102 | 121 |
| cabdbad |
0 | 0 | 0 | 1 |
8 | 212 | 123 |
| cbadbad |
0 | 0 | 0 | 1 |
79 | 154 | 110 |
| cadbbad |
0 | 0 | 0 | 1 |
102 | 137 | 104 |
| cbddbaa |
0 | 0 | 0 | 1 |
127 | 105 | 111 |
| cadbabd |
0 | 0 | 0 | 2 |
127 | 132 | 83 |
| cbdbaad |
0 | 0 | 0 | 3 |
60 | 150 | 131 |
| caadbbd |
0 | 0 | 0 | 3 |
91 | 169 | 81 |
| cabadbd |
0 | 0 | 0 | 4 |
54 | 81 | 205 |
| cbaadbd |
0 | 0 | 0 | 8 |
67 | 88 | 181 |
| cbbddaa |
0 | 0 | 0 | 8 |
119 | 172 | 45 |
| cbaddab |
0 | 0 | 0 | 9 |
92 | 169 | 74 |
| cadabbd |
0 | 0 | 0 | 11 |
86 | 149 | 98 |
| cabddba |
0 | 0 | 0 | 13 |
70 | 205 | 56 |
| cbaddba |
0 | 0 | 0 | 16 |
88 | 162 | 78 |
| cbdaadb |
0 | 0 | 1 | 16 |
139 | 125 | 63 |
| cbdbdaa |
0 | 0 | 1 | 30 |
130 | 129 | 54 |
| cabdbda |
0 | 0 | 3 | 50 |
108 | 128 | 55 |
| cabbdad |
0 | 0 | 4 | 30 |
104 | 108 | 98 |
| cbdbada |
0 | 0 | 5 | 36 |
119 | 139 | 45 |
| cbabdad |
0 | 0 | 5 | 49 |
109 | 91 | 90 |
| cbbadad |
0 | 0 | 18 | 34 |
92 | 107 | 93 |
| cbbadda |
0 | 0 | 18 | 61 |
86 | 117 | 62 |
| cbdadba |
0 | 0 | 21 | 57 |
102 | 130 | 34 |
| cabbdda |
0 | 0 | 21 | 63 |
78 | 120 | 62 |
| cbabdda |
0 | 0 | 24 | 59 |
81 | 129 | 51 |
| cbadadb |
0 | 0 | 27 | 55 |
135 | 103 | 24 |
| cbadbda |
0 | 2 | 18 | 58 |
92 | 92 | 82 |
| cbdabda |
0 | 3 | 12 | 27 |
139 | 127 | 36 |
| cadbbda |
0 | 4 | 11 | 94 |
137 | 61 | 37 |
| cbbdada |
0 | 8 | 51 | 75 |
108 | 84 | 18 |
| |
| Projections |
| Variety | Problem | # |
| Fl(2,3;6) |
(W )2(W )2(X )2X
| |
| Fl(2,4;6) |
A1325(W )2(W )2(Y )2
| 12 |
|
|