| | Number of Real Solutions |
| Necklaces |
0 |
2 | 4 | 6 | 8 |
| cadccbddda |
0 | 0 | 0 | 0 |
60 |
| cccbddddaa |
0 | 0 | 0 | 0 |
60 |
| cdaaccbddd |
0 | 0 | 0 | 0 |
60 |
| cccddddbaa |
0 | 0 | 0 | 0 |
60 |
| cccdddbaad |
0 | 0 | 0 | 0 |
60 |
| cccdddbada |
0 | 0 | 0 | 0 |
60 |
| cccddbdada |
0 | 0 | 0 | 0 |
60 |
| cccdbaaddd |
0 | 0 | 0 | 0 |
60 |
| cccdbadadd |
0 | 0 | 0 | 0 |
60 |
| cccdbddada |
0 | 0 | 0 | 0 |
60 |
| cccdbdddaa |
0 | 0 | 0 | 0 |
60 |
| cccbadaddd |
0 | 0 | 0 | 0 |
60 |
| cccbaddadd |
0 | 0 | 0 | 0 |
60 |
| cccbadddad |
0 | 0 | 0 | 0 |
60 |
| cccbadddda |
0 | 0 | 0 | 0 |
60 |
| cccbdaaddd |
0 | 0 | 0 | 0 |
60 |
| cccbdadadd |
0 | 0 | 0 | 0 |
60 |
| cccbdaddad |
0 | 0 | 0 | 0 |
60 |
| cccbddaadd |
0 | 0 | 0 | 0 |
60 |
| ccddacaddb |
0 | 0 | 0 | 0 |
60 |
| ccddddcbaa |
0 | 0 | 0 | 0 |
60 |
| ccdddcdbaa |
0 | 0 | 0 | 0 |
60 |
| ccdcdddbaa |
0 | 0 | 0 | 0 |
60 |
| cddccbddaa |
0 | 0 | 0 | 1 |
59 |
| cdccdbddaa |
0 | 0 | 0 | 1 |
59 |
| cccddbadda |
0 | 0 | 0 | 1 |
59 |
| cccddbdaad |
0 | 0 | 0 | 1 |
59 |
| cccdbaddda |
0 | 0 | 0 | 1 |
59 |
| cccdbdadda |
0 | 0 | 0 | 1 |
59 |
| ccdddaacbd |
0 | 0 | 0 | 1 |
59 |
| ccddcaadbd |
0 | 0 | 0 | 1 |
59 |
| ccddcadabd |
0 | 0 | 0 | 1 |
59 |
| ccdcdbddaa |
0 | 0 | 0 | 1 |
59 |
| ccddadacbd |
0 | 0 | 0 | 2 |
58 |
| ccdddcbada |
0 | 0 | 0 | 2 |
58 |
| ccddcbadad |
0 | 0 | 0 | 2 |
58 |
| ccdaacdbdd |
0 | 0 | 0 | 3 |
57 |
| cccdbaddad |
0 | 0 | 0 | 3 |
57 |
| ccddadcadb |
0 | 0 | 0 | 3 |
57 |
| ccdddcaabd |
0 | 0 | 0 | 3 |
57 |
| ccddcaabdd |
0 | 0 | 0 | 3 |
57 |
| ccddcdaabd |
0 | 0 | 0 | 3 |
57 |
| ccddcbadda |
0 | 0 | 0 | 3 |
57 |
| ccdcbaddad |
0 | 0 | 0 | 3 |
57 |
| ccdcbaddda |
0 | 0 | 0 | 3 |
57 |
| ccdaacbddd |
0 | 0 | 0 | 4 |
56 |
| cddccbaadd |
0 | 0 | 0 | 4 |
56 |
| cdaaccdbdd |
0 | 0 | 0 | 4 |
56 |
| cdaaccddbd |
0 | 0 | 0 | 4 |
56 |
| ccdadadcbd |
0 | 0 | 0 | 4 |
56 |
| cddcdcaabd |
0 | 0 | 0 | 4 |
56 |
| cdcdcbddaa |
0 | 0 | 0 | 5 |
55 |
| ccdcaddabd |
0 | 0 | 0 | 5 |
55 |
| ccddaacbdd |
0 | 0 | 0 | 6 |
54 |
| cdcadacdbd |
0 | 0 | 0 | 6 |
54 |
| ccdaadcbdd |
0 | 0 | 0 | 7 |
53 |
| ccdcddbaad |
0 | 0 | 0 | 7 |
53 |
| ccddcdbada |
0 | 0 | 0 | 7 |
53 |
| ccdcddbada |
0 | 0 | 0 | 7 |
53 |
| caacdcdbdd |
0 | 0 | 0 | 7 |
53 |
| cdcaadcdbd |
0 | 0 | 0 | 7 |
53 |
| ccdcdbadad |
0 | 0 | 0 | 8 |
52 |
| ccddcddbaa |
0 | 0 | 0 | 9 |
51 |
| cccddbadad |
0 | 0 | 0 | 10 |
50 |
| cccdbddaad |
0 | 0 | 0 | 10 |
50 |
| ccdcdaadbd |
0 | 0 | 0 | 10 |
50 |
| cadccdbdda |
0 | 0 | 1 | 0 |
59 |
| ccddaddcab |
0 | 0 | 1 | 0 |
59 |
| ccdddacabd |
0 | 0 | 1 | 0 |
59 |
| ccddddacba |
0 | 0 | 1 | 0 |
59 |
| cacdddcbda |
0 | 0 | 1 | 1 |
58 |
| cccdbdaadd |
0 | 0 | 1 | 2 |
57 |
| ccddacdadb |
0 | 0 | 1 | 3 |
56 |
| ccdcdbadda |
0 | 0 | 1 | 4 |
55 |
| ccdcdbdada |
0 | 0 | 1 | 4 |
55 |
| ccdcadadbd |
0 | 0 | 1 | 5 |
54 |
| ccddaadcbd |
0 | 0 | 1 | 6 |
53 |
| ccddacadbd |
0 | 0 | 1 | 9 |
50 |
| cadccddbda |
0 | 0 | 2 | 0 |
58 |
| ccdacddabd |
0 | 0 | 2 | 0 |
58 |
| ccddadcabd |
0 | 0 | 2 | 1 |
57 |
| ccddacbdda |
0 | 0 | 2 | 1 |
57 |
| ccdacdddab |
0 | 0 | 2 | 2 |
56 |
| ccddadcdab |
0 | 0 | 2 | 2 |
56 |
| ccddacddab |
0 | 0 | 2 | 3 |
55 |
| ccdadcadbd |
0 | 0 | 2 | 4 |
54 |
| cccdbdadad |
0 | 0 | 3 | 7 |
50 |
| ccddacdabd |
0 | 0 | 3 | 8 |
49 |
| cdcdacadbd |
0 | 0 | 3 | 12 |
45 |
| ccdaddcabd |
0 | 0 | 4 | 0 |
56 |
| cdcacaddbd |
0 | 0 | 4 | 0 |
56 |
| ccddacabdd |
0 | 0 | 4 | 2 |
54 |
| ccdacbddda |
0 | 0 | 5 | 0 |
55 |
| ccdddacdba |
0 | 0 | 5 | 1 |
54 |
| cacddddcba |
0 | 0 | 6 | 0 |
54 |
| cdcadcadbd |
0 | 0 | 6 | 11 |
43 |
| caddcacdbd |
0 | 0 | 7 | 9 |
44 |
| cccdddabda |
0 | 0 | 8 | 0 |
52 |
| ccdacdddba |
0 | 0 | 8 | 0 |
52 |
| ccdddadcba |
0 | 0 | 8 | 0 |
52 |
| ccddadcdba |
0 | 0 | 9 | 2 |
49 |
| cacdddcdba |
0 | 0 | 11 | 1 |
48 |
| ccdcddabda |
0 | 0 | 11 | 1 |
48 |
| cdcacdadbd |
0 | 0 | 11 | 8 |
41 |
| ccdacddbad |
0 | 0 | 12 | 1 |
47 |
| cccaddbdad |
0 | 0 | 12 | 1 |
47 |
| cccdaddbad |
0 | 0 | 12 | 5 |
43 |
| ccdddcadba |
0 | 0 | 13 | 1 |
46 |
| ccdddcabda |
0 | 0 | 13 | 1 |
46 |
| ccdcabddda |
0 | 0 | 14 | 0 |
46 |
| ccdcadddba |
0 | 0 | 14 | 1 |
45 |
| cccabdddda |
0 | 0 | 15 | 0 |
45 |
| cccddddaba |
0 | 0 | 17 | 0 |
43 |
| ccddcadbda |
0 | 0 | 17 | 1 |
42 |
| cccaddbdda |
0 | 0 | 20 | 0 |
40 |
| cccadddbda |
0 | 0 | 20 | 1 |
39 |
| ccdcadbdda |
0 | 0 | 20 | 2 |
38 |
| cccabdddad |
0 | 0 | 22 | 0 |
38 |
| ccddcadbad |
0 | 0 | 22 | 1 |
37 |
| cccdddadba |
0 | 0 | 26 | 0 |
34 |
| ccdddcdaba |
0 | 0 | 26 | 0 |
34 |
| ccdcdddaba |
0 | 0 | 26 | 0 |
34 |
| cccdadbdad |
0 | 0 | 26 | 4 |
30 |
| cddccabadd |
0 | 0 | 27 | 2 |
31 |
| ccdcddadba |
0 | 0 | 29 | 3 |
28 |
| ccdcdaddba |
0 | 0 | 30 | 3 |
27 |
| ccdcdbdaad |
0 | 1 | 0 | 4 |
55 |
| cddcdacabd |
0 | 1 | 1 | 4 |
54 |
| ccddacbadd |
0 | 1 | 8 | 5 |
46 |
| ccddcabdda |
0 | 1 | 9 | 1 |
49 |
| cddcacddba |
0 | 1 | 11 | 3 |
45 |
| cddcacbdda |
0 | 1 | 12 | 1 |
46 |
| cddcacabdd |
0 | 1 | 12 | 2 |
45 |
| ccddcdabda |
0 | 1 | 13 | 4 |
42 |
| ccdcdabdda |
0 | 1 | 14 | 6 |
39 |
| ccddcaddba |
0 | 1 | 19 | 2 |
38 |
| ccddcabdad |
0 | 1 | 22 | 0 |
37 |
| cccadbddad |
0 | 1 | 22 | 0 |
37 |
| ccdcadbdad |
0 | 1 | 28 | 1 |
30 |
| cdcadcdbad |
0 | 1 | 30 | 4 |
25 |
| cddcacdabd |
0 | 2 | 11 | 6 |
41 |
| cdcacdabdd |
0 | 2 | 21 | 2 |
35 |
| ccdcdadbda |
0 | 2 | 22 | 3 |
33 |
| ccddcdadba |
0 | 2 | 26 | 2 |
30 |
| cddcacdbda |
0 | 3 | 7 | 1 |
49 |
| ccdcaddbda |
0 | 3 | 17 | 3 |
37 |
| cddcdcdaba |
0 | 3 | 24 | 1 |
32 |
| cdcadcdabd |
0 | 4 | 15 | 4 |
37 |
| ccdcdadbad |
0 | 6 | 22 | 3 |
29 |
| ccddacdbda |
1 | 0 | 2 | 5 |
52 |
| ccdacddbda |
1 | 0 | 5 | 5 |
49 |
| ccdacdbadd |
1 | 0 | 8 | 1 |
50 |
| ccddacbdad |
1 | 0 | 10 | 2 |
47 |
| cdcacdddba |
1 | 0 | 15 | 1 |
43 |
| ccacddddba |
1 | 0 | 20 | 0 |
39 |
| ccdacdbdad |
1 | 1 | 8 | 4 |
46 |
| ccdacbaddd |
1 | 1 | 10 | 1 |
47 |
| cdcadcbadd |
1 | 2 | 19 | 1 |
37 |
| ccdacbddad |
2 | 0 | 14 | 1 |
43 |
| ccacdbddad |
2 | 0 | 17 | 0 |
41 |
| ccadcddbda |
2 | 0 | 26 | 2 |
30 |
| ccadcdddba |
2 | 0 | 27 | 0 |
31 |
| cdcaddcdba |
2 | 1 | 22 | 1 |
34 |
| ccdacbdadd |
3 | 0 | 12 | 0 |
45 |
| ccddaddcba |
3 | 0 | 14 | 0 |
43 |
| ccdadcbdad |
3 | 0 | 23 | 2 |
32 |
| cdcadcdbda |
3 | 1 | 17 | 5 |
34 |
| cddcdadcba |
3 | 2 | 22 | 1 |
32 |
| cdcacdbdad |
3 | 2 | 25 | 6 |
24 |
| ccadcdbdad |
3 | 2 | 26 | 2 |
27 |
| cddcacdbad |
3 | 4 | 16 | 4 |
33 |
| ccadddcdba |
4 | 1 | 30 | 0 |
25 |
| ccaddcddba |
4 | 2 | 28 | 3 |
23 |
| ccaddcdbda |
5 | 1 | 26 | 0 |
28 |
| |
| Projections |
| Variety | Problem | # |
| Fl(1,2;6) |
(V )2W (W )3
| |
|
|