| | Number of Real Solutions |
| Necklaces |
0 |
2 | 4 | 6 | 8 | 10 |
| abbccccd |
0 | 0 | 0 | 0 |
0 | 15000 |
| accccdbb |
0 | 0 | 0 | 0 |
0 | 15000 |
| abccccdb |
0 | 0 | 0 | 0 |
0 | 15000 |
| acccdcbb |
0 | 0 | 0 | 0 |
0 | 15000 |
| abcccdcb |
0 | 0 | 0 | 0 |
0 | 15000 |
| abbcccdc |
0 | 0 | 0 | 0 |
0 | 15000 |
| accdccbb |
0 | 0 | 0 | 0 |
0 | 15000 |
| abccdccb |
0 | 0 | 0 | 0 |
0 | 15000 |
| acccbcdb |
0 | 0 | 0 | 4566 |
6246 | 4188 |
| acccbdcb |
0 | 0 | 0 | 4566 |
6246 | 4188 |
| accdbccb |
0 | 0 | 0 | 4566 |
6246 | 4188 |
| accbbccd |
0 | 0 | 0 | 4652 |
6156 | 4192 |
| accbbcdc |
0 | 0 | 0 | 4652 |
6156 | 4192 |
| abccbccd |
0 | 0 | 0 | 4659 |
6190 | 4151 |
| abccbcdc |
0 | 0 | 0 | 4659 |
6190 | 4151 |
| abcccbcd |
0 | 0 | 0 | 4660 |
6265 | 4075 |
| abcccbdc |
0 | 0 | 0 | 4660 |
6265 | 4075 |
| abccdbcc |
0 | 0 | 0 | 4660 |
6265 | 4075 |
| acccbbcd |
0 | 0 | 0 | 4688 |
6156 | 4156 |
| acccbbdc |
0 | 0 | 0 | 4688 |
6156 | 4156 |
| accdbbcc |
0 | 0 | 0 | 4688 |
6156 | 4156 |
| accbccdb |
0 | 0 | 0 | 4708 |
6233 | 4059 |
| accbcdcb |
0 | 0 | 0 | 4708 |
6233 | 4059 |
| accccbbd |
0 | 0 | 956 | 4280 |
5178 | 4586 |
| acccdbbc |
0 | 0 | 956 | 4280 |
5178 | 4586 |
| accdcbbc |
0 | 0 | 956 | 4280 |
5178 | 4586 |
| abccccbd |
0 | 0 | 992 | 4027 |
5475 | 4506 |
| abcccdbc |
0 | 0 | 992 | 4027 |
5475 | 4506 |
| abccdcbc |
0 | 0 | 992 | 4027 |
5475 | 4506 |
| acbbcccd |
0 | 0 | 1005 | 4331 |
5191 | 4473 |
| acbbccdc |
0 | 0 | 1005 | 4331 |
5191 | 4473 |
| accccbdb |
0 | 0 | 1016 | 3827 |
5282 | 4875 |
| acccdbcb |
0 | 0 | 1016 | 3827 |
5282 | 4875 |
| accdcbcb |
0 | 0 | 1016 | 3827 |
5282 | 4875 |
| acbcccdb |
0 | 0 | 1019 | 4212 |
5353 | 4416 |
| acbccdcb |
0 | 0 | 1019 | 4212 |
5353 | 4416 |
| abcbcccd |
0 | 0 | 1033 | 3892 |
5344 | 4731 |
| abcbccdc |
0 | 0 | 1033 | 3892 |
5344 | 4731 |
| adbcccbc |
0 | 248 | 4520 | 4530 |
3858 | 1844 |
| acbccdbc |
0 | 248 | 4520 | 4530 |
3858 | 1844 |
| acbcdcbc |
0 | 248 | 4520 | 4530 |
3858 | 1844 |
| acccbcbd |
0 | 279 | 4045 | 4559 |
4046 | 2071 |
| acccbdbc |
0 | 279 | 4045 | 4559 |
4046 | 2071 |
| accdbcbc |
0 | 279 | 4045 | 4559 |
4046 | 2071 |
| acdcbcbc |
0 | 279 | 4045 | 4559 |
4046 | 2071 |
| acbcbccd |
0 | 280 | 4106 | 4602 |
3961 | 2051 |
| accbcbcd |
0 | 580 | 1732 | 4741 |
6113 | 1834 |
| accbcbdc |
0 | 580 | 1732 | 4741 |
6113 | 1834 |
| accbdbcc |
0 | 580 | 1732 | 4741 |
6113 | 1834 |
| accbccbd |
0 | 589 | 2059 | 4673 |
6045 | 1634 |
| accbcdbc |
0 | 589 | 2059 | 4673 |
6045 | 1634 |
| acdbccbc |
0 | 589 | 2059 | 4673 |
6045 | 1634 |
| accbdcbc |
0 | 589 | 2059 | 4673 |
6045 | 1634 |
| acbccbcd |
0 | 613 | 2044 | 4753 |
6037 | 1553 |
| |
| Projections |
| Variety | Problem | # |
| Fl(2,3;5) |
(X )3(Y )5
| 10 |
| Fl(1,2,3;5) |
W (X )2(Y )5
| |
| Fl(2,3,4;5) |
(X )3(Y )4Z
| |
|
|