Spanning Run

R

[4, 3, 1, 2, 3, 4, 4, 3]

B

[8, 7, 5, 6, 7, 8, 8, 7]

pi

[1, 1, 2, 2, 1, 1, 2, 2]

indegrees

[1, 1, 3, 3, 1, 1, 3, 3]

Friedman weight

12

det

21/256, .8203125000e-1

nullspace of Delta

{1, 5}, {2, 6}, {3, 7}, {4, 8}

nullspace of A

[{5},{1}] `,` [{6},{2}] `,` [{7},{3}] `,` [{8},{4}]

spanNum

288

Data

Coloring R-cycles B-cycles Sync'd/Not Sync'd R/B/Delta Ranking
1. {} {{1, 2, 3, 4}} {{7, 8}} notsyncd, [4, 3, 1, 2, 3, 4, 4, 3], [8, 7, 5, 6, 7, 8, 8, 7] 2:4 , 1:2 , 2:4
2. {2} {{2, 4, 7}} {{7, 8}} syncd, [4, 7, 1, 2, 3, 4, 4, 3], [8, 3, 5, 6, 7, 8, 8, 7] 3:3 , 1:2 , 4:4
3. {3} {{3, 5}} {{7, 8}} syncd, [4, 3, 5, 2, 3, 4, 4, 3], [8, 7, 1, 6, 7, 8, 8, 7] 2:2 , 2:2 , 4:4
4. {4} {{4, 6}} {{7, 8}} syncd, [4, 3, 1, 6, 3, 4, 4, 3], [8, 7, 5, 2, 7, 8, 8, 7] 2:2 , 2:2 , 4:4
5. {5} {{1, 2, 3, 4}} {{7, 8}, {3, 5}} syncd, [4, 3, 1, 2, 7, 4, 4, 3], [8, 7, 5, 6, 3, 8, 8, 7] 4:4 , 2:4 , 4:4
6. {6} {{1, 2, 3, 4}} {{7, 8}, {4, 6}} syncd, [4, 3, 1, 2, 3, 8, 4, 3], [8, 7, 5, 6, 7, 4, 8, 7] 4:4 , 2:4 , 4:4
7. {7} {{1, 2, 3, 4}} {{4, 6, 7, 8}} syncd, [4, 3, 1, 2, 3, 4, 8, 3], [8, 7, 5, 6, 7, 8, 4, 7] 3:4 , 3:4 , 4:4
8. {8} {{1, 2, 3, 4}} {{3, 5, 7, 8}} syncd, [4, 3, 1, 2, 3, 4, 4, 7], [8, 7, 5, 6, 7, 8, 8, 3] 3:4 , 3:4 , 4:4
9. {2, 3} {{2, 4, 7}, {3, 5}} {{7, 8}} syncd, [4, 7, 5, 2, 3, 4, 4, 3], [8, 3, 1, 6, 7, 8, 8, 7] 4:5 , 2:2 , 4:4
10. {2, 4} {{4, 6}} {{7, 8}} syncd, [4, 7, 1, 6, 3, 4, 4, 3], [8, 3, 5, 2, 7, 8, 8, 7] 2:2 , 2:2 , 4:4
11. {2, 5} {{2, 4, 7}} {{7, 8}, {3, 5}} notsyncd, [4, 7, 1, 2, 7, 4, 4, 3], [8, 3, 5, 6, 3, 8, 8, 7] 1:3 , 1:4 , 3:4
12. {2, 6} {{2, 4, 7}} {{7, 8}, {4, 6}} syncd, [4, 7, 1, 2, 3, 8, 4, 3], [8, 3, 5, 6, 7, 4, 8, 7] 3:3 , 2:4 , 4:4
13. {2, 7} {{1, 2, 3, 4, 7, 8}} {{4, 6, 7, 8}} syncd, [4, 7, 1, 2, 3, 4, 8, 3], [8, 3, 5, 6, 7, 8, 4, 7] 5:6 , 3:4 , 4:4
14. {2, 8} {{2, 4, 7}} {{3, 5, 7, 8}} syncd, [4, 7, 1, 2, 3, 4, 4, 7], [8, 3, 5, 6, 7, 8, 8, 3] 3:3 , 3:4 , 4:4
15. {3, 4} {{4, 6}, {3, 5}} {{7, 8}} notsyncd, [4, 3, 5, 6, 3, 4, 4, 3], [8, 7, 1, 2, 7, 8, 8, 7] 2:4 , 1:2 , 2:4
16. {3, 5} {{2, 3, 4, 5, 7}} {{7, 8}} syncd, [4, 3, 5, 2, 7, 4, 4, 3], [8, 7, 1, 6, 3, 8, 8, 7] 5:5 , 2:2 , 4:4
17. {3, 6} {{3, 5}} {{7, 8}, {4, 6}} syncd, [4, 3, 5, 2, 3, 8, 4, 3], [8, 7, 1, 6, 7, 4, 8, 7] 2:2 , 2:4 , 4:4
18. {3, 7} {{3, 5}} {{4, 6, 7, 8}} notsyncd, [4, 3, 5, 2, 3, 4, 8, 3], [8, 7, 1, 6, 7, 8, 4, 7] 1:2 , 2:4 , 2:4
19. {3, 8} {{3, 5}} {{1, 3, 8}} syncd, [4, 3, 5, 2, 3, 4, 4, 7], [8, 7, 1, 6, 7, 8, 8, 3] 1:2 , 3:3 , 4:4
20. {4, 5} {{4, 6}} {{7, 8}, {3, 5}} syncd, [4, 3, 1, 6, 7, 4, 4, 3], [8, 7, 5, 2, 3, 8, 8, 7] 2:2 , 2:4 , 4:4
21. {4, 6} {{1, 3, 4, 6, 8}} {{7, 8}} syncd, [4, 3, 1, 6, 3, 8, 4, 3], [8, 7, 5, 2, 7, 4, 8, 7] 5:5 , 2:2 , 4:4
22. {4, 7} {{4, 6}} {{2, 4, 7}} syncd, [4, 3, 1, 6, 3, 4, 8, 3], [8, 7, 5, 2, 7, 8, 4, 7] 1:2 , 3:3 , 4:4
23. {4, 8} {{4, 6}} {{3, 5, 7, 8}} notsyncd, [4, 3, 1, 6, 3, 4, 4, 7], [8, 7, 5, 2, 7, 8, 8, 3] 1:2 , 2:4 , 2:4
24. {5, 6} {{1, 2, 3, 4}} {{7, 8}, {4, 6}, {3, 5}} notsyncd, [4, 3, 1, 2, 7, 8, 4, 3], [8, 7, 5, 6, 3, 4, 8, 7] 1:4 , 2:6 , 1:4
25. {5, 7} {{1, 2, 3, 4}} {{3, 5}, {4, 6, 7, 8}} syncd, [4, 3, 1, 2, 7, 4, 8, 3], [8, 7, 5, 6, 3, 8, 4, 7] 3:4 , 4:6 , 4:4
26. {5, 8} {{1, 2, 3, 4}} {{3, 5}} syncd, [4, 3, 1, 2, 7, 4, 4, 7], [8, 7, 5, 6, 3, 8, 8, 3] 4:4 , 1:2 , 4:4
27. {6, 7} {{1, 2, 3, 4}} {{4, 6}} syncd, [4, 3, 1, 2, 3, 8, 8, 3], [8, 7, 5, 6, 7, 4, 4, 7] 4:4 , 1:2 , 4:4
28. {6, 8} {{1, 2, 3, 4}} {{3, 5, 7, 8}, {4, 6}} syncd, [4, 3, 1, 2, 3, 8, 4, 7], [8, 7, 5, 6, 7, 4, 8, 3] 3:4 , 4:6 , 4:4
29. {7, 8} {{1, 2, 3, 4}, {7, 8}} {{3, 4, 5, 6, 7, 8}} notsyncd, [4, 3, 1, 2, 3, 4, 8, 7], [8, 7, 5, 6, 7, 8, 4, 3] 1:6 , 1:6 , 1:4
30. {2, 3, 4} {{4, 6}, {3, 5}} {{7, 8}} syncd, [4, 7, 5, 6, 3, 4, 4, 3], [8, 3, 1, 2, 7, 8, 8, 7] 2:4 , 2:2 , 4:4
31. {2, 3, 5} {{2, 4, 7}} {{7, 8}} syncd, [4, 7, 5, 2, 7, 4, 4, 3], [8, 3, 1, 6, 3, 8, 8, 7] 3:3 , 1:2 , 4:4
32. {2, 3, 6} {{2, 4, 7}, {3, 5}} {{7, 8}, {4, 6}} notsyncd, [4, 7, 5, 2, 3, 8, 4, 3], [8, 3, 1, 6, 7, 4, 8, 7] 3:5 , 2:4 , 2:4
33. {2, 3, 7} {{3, 5}} {{4, 6, 7, 8}} syncd, [4, 7, 5, 2, 3, 4, 8, 3], [8, 3, 1, 6, 7, 8, 4, 7] 1:2 , 4:4 , 4:4
34. {2, 3, 8} {{2, 4, 7}, {3, 5}} {{1, 3, 8}} syncd, [4, 7, 5, 2, 3, 4, 4, 7], [8, 3, 1, 6, 7, 8, 8, 3] 4:5 , 3:3 , 4:4
35. {2, 4, 5} {{4, 6}} {{7, 8}, {3, 5}} notsyncd, [4, 7, 1, 6, 7, 4, 4, 3], [8, 3, 5, 2, 3, 8, 8, 7] 1:2 , 2:4 , 2:4
36. {2, 4, 6} {{1, 3, 4, 6, 8}} {{7, 8}} syncd, [4, 7, 1, 6, 3, 8, 4, 3], [8, 3, 5, 2, 7, 4, 8, 7] 5:5 , 2:2 , 2:4
37. {2, 4, 7} {{4, 6}} {{2, 3, 4, 5, 7}} syncd, [4, 7, 1, 6, 3, 4, 8, 3], [8, 3, 5, 2, 7, 8, 4, 7] 1:2 , 5:5 , 4:4
38. {2, 4, 8} {{4, 6}} {{3, 5, 7, 8}} syncd, [4, 7, 1, 6, 3, 4, 4, 7], [8, 3, 5, 2, 7, 8, 8, 3] 2:2 , 4:4 , 4:4
39. {2, 5, 6} {{2, 4, 7}} {{7, 8}, {4, 6}, {3, 5}} notsyncd, [4, 7, 1, 2, 7, 8, 4, 3], [8, 3, 5, 6, 3, 4, 8, 7] 1:3 , 2:6 , 3:4
40. {2, 5, 7} {{1, 2, 3, 4, 7, 8}} {{3, 5}, {4, 6, 7, 8}} notsyncd, [4, 7, 1, 2, 7, 4, 8, 3], [8, 3, 5, 6, 3, 8, 4, 7] 1:6 , 1:6 , 1:4
41. {2, 5, 8} {{2, 4, 7}} {{3, 5}} syncd, [4, 7, 1, 2, 7, 4, 4, 7], [8, 3, 5, 6, 3, 8, 8, 3] 3:3 , 1:2 , 4:4
42. {2, 6, 7} {{1, 2, 3, 4, 7, 8}} {{4, 6}} syncd, [4, 7, 1, 2, 3, 8, 8, 3], [8, 3, 5, 6, 7, 4, 4, 7] 6:6 , 1:2 , 3:4
43. {2, 6, 8} {{2, 4, 7}} {{3, 5, 7, 8}, {4, 6}} syncd, [4, 7, 1, 2, 3, 8, 4, 7], [8, 3, 5, 6, 7, 4, 8, 3] 3:3 , 4:6 , 3:4
44. {2, 7, 8} {{7, 8}} {{3, 4, 5, 6, 7, 8}} syncd, [4, 7, 1, 2, 3, 4, 8, 7], [8, 3, 5, 6, 7, 8, 4, 3] 1:2 , 5:6 , 4:4
45. {3, 4, 5} {{4, 6}} {{7, 8}} syncd, [4, 3, 5, 6, 7, 4, 4, 3], [8, 7, 1, 2, 3, 8, 8, 7] 1:2 , 2:2 , 4:4
46. {3, 4, 6} {{3, 5}} {{7, 8}} syncd, [4, 3, 5, 6, 3, 8, 4, 3], [8, 7, 1, 2, 7, 4, 8, 7] 1:2 , 2:2 , 4:4
47. {3, 4, 7} {{4, 6}, {3, 5}} {{2, 4, 7}} notsyncd, [4, 3, 5, 6, 3, 4, 8, 3], [8, 7, 1, 2, 7, 8, 4, 7] 1:4 , 1:3 , 3:4
48. {3, 4, 8} {{4, 6}, {3, 5}} {{1, 3, 8}} notsyncd, [4, 3, 5, 6, 3, 4, 4, 7], [8, 7, 1, 2, 7, 8, 8, 3] 1:4 , 1:3 , 3:4
49. {3, 5, 6} {{2, 3, 4, 5, 7}} {{7, 8}, {4, 6}} syncd, [4, 3, 5, 2, 7, 8, 4, 3], [8, 7, 1, 6, 3, 4, 8, 7] 5:5 , 2:4 , 2:4
50. {3, 5, 7} {{3, 5, 7, 8}} {{4, 6, 7, 8}} syncd, [4, 3, 5, 2, 7, 4, 8, 3], [8, 7, 1, 6, 3, 8, 4, 7] 3:4 , 4:4 , 4:4
51. {3, 5, 8} {{2, 3, 4, 5, 7}} {{1, 3, 8}} syncd, [4, 3, 5, 2, 7, 4, 4, 7], [8, 7, 1, 6, 3, 8, 8, 3] 5:5 , 3:3 , 4:4
52. {3, 6, 7} {{3, 5}} {{4, 6}} syncd, [4, 3, 5, 2, 3, 8, 8, 3], [8, 7, 1, 6, 7, 4, 4, 7] 2:2 , 2:2 , 3:4
53. {3, 6, 8} {{3, 5}} {{1, 3, 8}, {4, 6}} syncnorank, [4, 3, 5, 2, 3, 8, 4, 7], [8, 7, 1, 6, 7, 4, 8, 3] 1:2 , 4:5 , 3:4
54. {3, 7, 8} {{7, 8}, {3, 5}} {{1, 3, 8}} notsyncd, [4, 3, 5, 2, 3, 4, 8, 7], [8, 7, 1, 6, 7, 8, 4, 3] 1:4 , 1:3 , 3:4
55. {4, 5, 6} {{1, 3, 4, 6, 8}} {{7, 8}, {3, 5}} syncd, [4, 3, 1, 6, 7, 8, 4, 3], [8, 7, 5, 2, 3, 4, 8, 7] 5:5 , 2:4 , 2:4
56. {4, 5, 7} {{4, 6}} {{2, 4, 7}, {3, 5}} syncnorank, [4, 3, 1, 6, 7, 4, 8, 3], [8, 7, 5, 2, 3, 8, 4, 7] 1:2 , 4:5 , 3:4
57. {4, 5, 8} {{4, 6}} {{3, 5}} syncd, [4, 3, 1, 6, 7, 4, 4, 7], [8, 7, 5, 2, 3, 8, 8, 3] 2:2 , 2:2 , 3:4
58. {4, 6, 7} {{1, 3, 4, 6, 8}} {{2, 4, 7}} syncd, [4, 3, 1, 6, 3, 8, 8, 3], [8, 7, 5, 2, 7, 4, 4, 7] 5:5 , 3:3 , 4:4
59. {4, 6, 8} {{4, 6, 7, 8}} {{3, 5, 7, 8}} syncd, [4, 3, 1, 6, 3, 8, 4, 7], [8, 7, 5, 2, 7, 4, 8, 3] 3:4 , 4:4 , 4:4
60. {4, 7, 8} {{7, 8}, {4, 6}} {{2, 4, 7}} notsyncd, [4, 3, 1, 6, 3, 4, 8, 7], [8, 7, 5, 2, 7, 8, 4, 3] 1:4 , 1:3 , 3:4
61. {5, 6, 7} {{1, 2, 3, 4}} {{4, 6}, {3, 5}} syncd, [4, 3, 1, 2, 7, 8, 8, 3], [8, 7, 5, 6, 3, 4, 4, 7] 4:4 , 2:4 , 4:4
62. {5, 6, 8} {{1, 2, 3, 4}} {{4, 6}, {3, 5}} syncd, [4, 3, 1, 2, 7, 8, 4, 7], [8, 7, 5, 6, 3, 4, 8, 3] 4:4 , 2:4 , 4:4
63. {5, 7, 8} {{1, 2, 3, 4}, {7, 8}} {{3, 5}} syncd, [4, 3, 1, 2, 7, 4, 8, 7], [8, 7, 5, 6, 3, 8, 4, 3] 4:6 , 1:2 , 4:4
64. {6, 7, 8} {{1, 2, 3, 4}, {7, 8}} {{4, 6}} syncd, [4, 3, 1, 2, 3, 8, 8, 7], [8, 7, 5, 6, 7, 4, 4, 3] 4:6 , 1:2 , 4:4
65. {2, 3, 4, 5} {{4, 6}} {{7, 8}} syncd, [4, 7, 5, 6, 7, 4, 4, 3], [8, 3, 1, 2, 3, 8, 8, 7] 1:2 , 1:2 , 4:4
66. {2, 3, 4, 6} {{3, 5}} {{7, 8}} syncd, [4, 7, 5, 6, 3, 8, 4, 3], [8, 3, 1, 2, 7, 4, 8, 7] 1:2 , 2:2 , 4:4
67. {2, 3, 4, 7} {{4, 6}, {3, 5}} {{1, 2, 3, 4, 7, 8}} notsyncd, [4, 7, 5, 6, 3, 4, 8, 3], [8, 3, 1, 2, 7, 8, 4, 7] 1:4 , 4:6 , 3:4
68. {2, 3, 4, 8} {{4, 6}, {3, 5}} {{1, 3, 8}} syncd, [4, 7, 5, 6, 3, 4, 4, 7], [8, 3, 1, 2, 7, 8, 8, 3] 2:4 , 3:3 , 3:4
69. {2, 3, 5, 6} {{2, 4, 7}} {{7, 8}, {4, 6}} syncd, [4, 7, 5, 2, 7, 8, 4, 3], [8, 3, 1, 6, 3, 4, 8, 7] 3:3 , 2:4 , 4:4
70. {2, 3, 5, 7} {{3, 5, 7, 8}} {{4, 6, 7, 8}} syncd, [4, 7, 5, 2, 7, 4, 8, 3], [8, 3, 1, 6, 3, 8, 4, 7] 3:4 , 3:4 , 4:4
71. {2, 3, 5, 8} {{2, 4, 7}} {{1, 3, 8}} notsyncd, [4, 7, 5, 2, 7, 4, 4, 7], [8, 3, 1, 6, 3, 8, 8, 3] 1:3 , 1:3 , 2:4
72. {2, 3, 6, 7} {{3, 5}} {{4, 6}} syncd, [4, 7, 5, 2, 3, 8, 8, 3], [8, 3, 1, 6, 7, 4, 4, 7] 2:2 , 2:2 , 2:4
73. {2, 3, 6, 8} {{2, 4, 7}, {3, 5}} {{1, 3, 8}, {4, 6}} notsyncd, [4, 7, 5, 2, 3, 8, 4, 7], [8, 3, 1, 6, 7, 4, 8, 3] 2:5 , 2:5 , 2:4
74. {2, 3, 7, 8} {{7, 8}, {3, 5}} {{1, 3, 8}} syncd, [4, 7, 5, 2, 3, 4, 8, 7], [8, 3, 1, 6, 7, 8, 4, 3] 2:4 , 3:3 , 4:4
75. {2, 4, 5, 6} {{1, 3, 4, 6, 8}} {{7, 8}, {3, 5}} syncd, [4, 7, 1, 6, 7, 8, 4, 3], [8, 3, 5, 2, 3, 4, 8, 7] 5:5 , 2:4 , 4:4
76. {2, 4, 5, 7} {{4, 6}} {{3, 5}} syncd, [4, 7, 1, 6, 7, 4, 8, 3], [8, 3, 5, 2, 3, 8, 4, 7] 1:2 , 1:2 , 4:4
77. {2, 4, 5, 8} {{4, 6}} {{3, 5}} syncd, [4, 7, 1, 6, 7, 4, 4, 7], [8, 3, 5, 2, 3, 8, 8, 3] 2:2 , 2:2 , 4:4
78. {2, 4, 6, 7} {{1, 3, 4, 6, 8}} {{2, 3, 4, 5, 7}} syncd, [4, 7, 1, 6, 3, 8, 8, 3], [8, 3, 5, 2, 7, 4, 4, 7] 5:5 , 5:5 , 3:4
79. {2, 4, 6, 8} {{4, 6, 7, 8}} {{3, 5, 7, 8}} syncd, [4, 7, 1, 6, 3, 8, 4, 7], [8, 3, 5, 2, 7, 4, 8, 3] 4:4 , 4:4 , 3:4
80. {2, 4, 7, 8} {{7, 8}, {4, 6}} {{2, 3, 4, 5, 7}} syncd, [4, 7, 1, 6, 3, 4, 8, 7], [8, 3, 5, 2, 7, 8, 4, 3] 2:4 , 5:5 , 4:4
81. {2, 5, 6, 7} {{1, 2, 3, 4, 7, 8}} {{4, 6}, {3, 5}} notsyncd, [4, 7, 1, 2, 7, 8, 8, 3], [8, 3, 5, 6, 3, 4, 4, 7] 4:6 , 1:4 , 3:4
82. {2, 5, 6, 8} {{2, 4, 7}} {{4, 6}, {3, 5}} syncd, [4, 7, 1, 2, 7, 8, 4, 7], [8, 3, 5, 6, 3, 4, 8, 3] 3:3 , 2:4 , 3:4
83. {2, 5, 7, 8} {{7, 8}} {{3, 5}} syncd, [4, 7, 1, 2, 7, 4, 8, 7], [8, 3, 5, 6, 3, 8, 4, 3] 1:2 , 1:2 , 4:4
84. {2, 6, 7, 8} {{7, 8}} {{4, 6}} syncd, [4, 7, 1, 2, 3, 8, 8, 7], [8, 3, 5, 6, 7, 4, 4, 3] 2:2 , 1:2 , 4:4
85. {3, 4, 5, 6} {{3, 4, 5, 6, 7, 8}} {{7, 8}} notsyncd, [4, 3, 5, 6, 7, 8, 4, 3], [8, 7, 1, 2, 3, 4, 8, 7] 3:6 , 1:2 , 2:4
86. {3, 4, 5, 7} {{3, 5, 7, 8}, {4, 6}} {{2, 4, 7}} notsyncd, [4, 3, 5, 6, 7, 4, 8, 3], [8, 7, 1, 2, 3, 8, 4, 7] 3:6 , 1:3 , 3:4
87. {3, 4, 5, 8} {{4, 6}} {{1, 3, 8}} syncd, [4, 3, 5, 6, 7, 4, 4, 7], [8, 7, 1, 2, 3, 8, 8, 3] 1:2 , 3:3 , 4:4
88. {3, 4, 6, 7} {{3, 5}} {{2, 4, 7}} syncd, [4, 3, 5, 6, 3, 8, 8, 3], [8, 7, 1, 2, 7, 4, 4, 7] 1:2 , 3:3 , 4:4
89. {3, 4, 6, 8} {{3, 5}, {4, 6, 7, 8}} {{1, 3, 8}} notsyncd, [4, 3, 5, 6, 3, 8, 4, 7], [8, 7, 1, 2, 7, 4, 8, 3] 3:6 , 1:3 , 3:4
90. {3, 4, 7, 8} {{7, 8}, {4, 6}, {3, 5}} {{1, 3, 8}, {2, 4, 7}} notsyncd, [4, 3, 5, 6, 3, 4, 8, 7], [8, 7, 1, 2, 7, 8, 4, 3] 1:6 , 1:6 , 1:4
91. {3, 5, 6, 7} {{3, 5, 7, 8}} {{4, 6}} syncd, [4, 3, 5, 2, 7, 8, 8, 3], [8, 7, 1, 6, 3, 4, 4, 7] 4:4 , 2:2 , 4:4
92. {3, 5, 6, 8} {{2, 3, 4, 5, 7}} {{1, 3, 8}, {4, 6}} syncd, [4, 3, 5, 2, 7, 8, 4, 7], [8, 7, 1, 6, 3, 4, 8, 3] 5:5 , 2:5 , 4:4
93. {3, 5, 7, 8} {{7, 8}} {{1, 3, 8}} syncd, [4, 3, 5, 2, 7, 4, 8, 7], [8, 7, 1, 6, 3, 8, 4, 3] 1:2 , 3:3 , 4:4
94. {3, 6, 7, 8} {{7, 8}, {3, 5}} {{1, 3, 8}, {4, 6}} syncd, [4, 3, 5, 2, 3, 8, 8, 7], [8, 7, 1, 6, 7, 4, 4, 3] 2:4 , 4:5 , 4:4
95. {4, 5, 6, 7} {{1, 3, 4, 6, 8}} {{2, 4, 7}, {3, 5}} syncd, [4, 3, 1, 6, 7, 8, 8, 3], [8, 7, 5, 2, 3, 4, 4, 7] 5:5 , 2:5 , 4:4
96. {4, 5, 6, 8} {{4, 6, 7, 8}} {{3, 5}} syncd, [4, 3, 1, 6, 7, 8, 4, 7], [8, 7, 5, 2, 3, 4, 8, 3] 4:4 , 2:2 , 4:4
97. {4, 5, 7, 8} {{7, 8}, {4, 6}} {{2, 4, 7}, {3, 5}} syncd, [4, 3, 1, 6, 7, 4, 8, 7], [8, 7, 5, 2, 3, 8, 4, 3] 2:4 , 4:5 , 4:4
98. {4, 6, 7, 8} {{7, 8}} {{2, 4, 7}} syncd, [4, 3, 1, 6, 3, 8, 8, 7], [8, 7, 5, 2, 7, 4, 4, 3] 1:2 , 3:3 , 4:4
99. {5, 6, 7, 8} {{1, 2, 3, 4}, {7, 8}} {{4, 6}, {3, 5}} notsyncd, [4, 3, 1, 2, 7, 8, 8, 7], [8, 7, 5, 6, 3, 4, 4, 3] 2:6 , 1:4 , 1:4
100. {2, 3, 4, 5, 6} {{3, 4, 5, 6, 7, 8}} {{7, 8}} syncd, [4, 7, 5, 6, 7, 8, 4, 3], [8, 3, 1, 2, 3, 4, 8, 7] 5:6 , 1:2 , 4:4
101. {2, 3, 4, 5, 7} {{3, 5, 7, 8}, {4, 6}} {{1, 2, 3, 4, 7, 8}} notsyncd, [4, 7, 5, 6, 7, 4, 8, 3], [8, 3, 1, 2, 3, 8, 4, 7] 1:6 , 1:6 , 1:4
102. {2, 3, 4, 5, 8} {{4, 6}} {{1, 3, 8}} syncd, [4, 7, 5, 6, 7, 4, 4, 7], [8, 3, 1, 2, 3, 8, 8, 3] 1:2 , 3:3 , 4:4
103. {2, 3, 4, 6, 7} {{3, 5}} {{1, 2, 3, 4, 7, 8}} syncd, [4, 7, 5, 6, 3, 8, 8, 3], [8, 3, 1, 2, 7, 4, 4, 7] 1:2 , 6:6 , 3:4
104. {2, 3, 4, 6, 8} {{3, 5}, {4, 6, 7, 8}} {{1, 3, 8}} syncd, [4, 7, 5, 6, 3, 8, 4, 7], [8, 3, 1, 2, 7, 4, 8, 3] 4:6 , 3:3 , 3:4
105. {2, 3, 4, 7, 8} {{7, 8}, {4, 6}, {3, 5}} {{1, 3, 8}} notsyncd, [4, 7, 5, 6, 3, 4, 8, 7], [8, 3, 1, 2, 7, 8, 4, 3] 2:6 , 1:3 , 3:4
106. {2, 3, 5, 6, 7} {{3, 5, 7, 8}} {{4, 6}} syncd, [4, 7, 5, 2, 7, 8, 8, 3], [8, 3, 1, 6, 3, 4, 4, 7] 4:4 , 1:2 , 4:4
107. {2, 3, 5, 6, 8} {{2, 4, 7}} {{1, 3, 8}, {4, 6}} syncd, [4, 7, 5, 2, 7, 8, 4, 7], [8, 3, 1, 6, 3, 4, 8, 3] 3:3 , 4:5 , 4:4
108. {2, 3, 5, 7, 8} {{7, 8}} {{1, 3, 8}} syncd, [4, 7, 5, 2, 7, 4, 8, 7], [8, 3, 1, 6, 3, 8, 4, 3] 1:2 , 3:3 , 4:4
109. {2, 3, 6, 7, 8} {{7, 8}, {3, 5}} {{1, 3, 8}, {4, 6}} notsyncd, [4, 7, 5, 2, 3, 8, 8, 7], [8, 3, 1, 6, 7, 4, 4, 3] 2:4 , 3:5 , 2:4
110. {2, 4, 5, 6, 7} {{1, 3, 4, 6, 8}} {{3, 5}} syncd, [4, 7, 1, 6, 7, 8, 8, 3], [8, 3, 5, 2, 3, 4, 4, 7] 5:5 , 1:2 , 4:4
111. {2, 4, 5, 6, 8} {{4, 6, 7, 8}} {{3, 5}} syncd, [4, 7, 1, 6, 7, 8, 4, 7], [8, 3, 5, 2, 3, 4, 8, 3] 4:4 , 2:2 , 4:4
112. {2, 4, 5, 7, 8} {{7, 8}, {4, 6}} {{3, 5}} notsyncd, [4, 7, 1, 6, 7, 4, 8, 7], [8, 3, 5, 2, 3, 8, 4, 3] 2:4 , 1:2 , 2:4
113. {2, 4, 6, 7, 8} {{7, 8}} {{2, 3, 4, 5, 7}} syncd, [4, 7, 1, 6, 3, 8, 8, 7], [8, 3, 5, 2, 7, 4, 4, 3] 2:2 , 5:5 , 2:4
114. {2, 5, 6, 7, 8} {{7, 8}} {{4, 6}, {3, 5}} syncd, [4, 7, 1, 2, 7, 8, 8, 7], [8, 3, 5, 6, 3, 4, 4, 3] 2:2 , 2:4 , 4:4
115. {3, 4, 5, 6, 7} {{3, 5, 7, 8}} {{2, 4, 7}} syncd, [4, 3, 5, 6, 7, 8, 8, 3], [8, 7, 1, 2, 3, 4, 4, 7] 1:4 , 3:3 , 4:4
116. {3, 4, 5, 6, 8} {{4, 6, 7, 8}} {{1, 3, 8}} syncd, [4, 3, 5, 6, 7, 8, 4, 7], [8, 7, 1, 2, 3, 4, 8, 3] 1:4 , 3:3 , 4:4
117. {3, 4, 5, 7, 8} {{7, 8}, {4, 6}} {{1, 3, 8}, {2, 4, 7}} notsyncd, [4, 3, 5, 6, 7, 4, 8, 7], [8, 7, 1, 2, 3, 8, 4, 3] 1:4 , 3:6 , 3:4
118. {3, 4, 6, 7, 8} {{7, 8}, {3, 5}} {{1, 3, 8}, {2, 4, 7}} notsyncd, [4, 3, 5, 6, 3, 8, 8, 7], [8, 7, 1, 2, 7, 4, 4, 3] 1:4 , 3:6 , 3:4
119. {3, 5, 6, 7, 8} {{7, 8}} {{1, 3, 8}, {4, 6}} syncd, [4, 3, 5, 2, 7, 8, 8, 7], [8, 7, 1, 6, 3, 4, 4, 3] 2:2 , 3:5 , 2:4
120. {4, 5, 6, 7, 8} {{7, 8}} {{2, 4, 7}, {3, 5}} syncd, [4, 3, 1, 6, 7, 8, 8, 7], [8, 7, 5, 2, 3, 4, 4, 3] 2:2 , 3:5 , 2:4
121. {2, 3, 4, 5, 6, 7} {{3, 5, 7, 8}} {{1, 2, 3, 4, 7, 8}} syncd, [4, 7, 5, 6, 7, 8, 8, 3], [8, 3, 1, 2, 3, 4, 4, 7] 3:4 , 5:6 , 4:4
122. {2, 3, 4, 5, 6, 8} {{4, 6, 7, 8}} {{1, 3, 8}} syncd, [4, 7, 5, 6, 7, 8, 4, 7], [8, 3, 1, 2, 3, 4, 8, 3] 3:4 , 3:3 , 4:4
123. {2, 3, 4, 5, 7, 8} {{7, 8}, {4, 6}} {{1, 3, 8}} notsyncd, [4, 7, 5, 6, 7, 4, 8, 7], [8, 3, 1, 2, 3, 8, 4, 3] 1:4 , 1:3 , 3:4
124. {2, 3, 4, 6, 7, 8} {{7, 8}, {3, 5}} {{1, 3, 8}} syncd, [4, 7, 5, 6, 3, 8, 8, 7], [8, 3, 1, 2, 7, 4, 4, 3] 2:4 , 3:3 , 4:4
125. {2, 3, 5, 6, 7, 8} {{7, 8}} {{1, 3, 8}, {4, 6}} syncd, [4, 7, 5, 2, 7, 8, 8, 7], [8, 3, 1, 6, 3, 4, 4, 3] 2:2 , 4:5 , 4:4
126. {2, 4, 5, 6, 7, 8} {{7, 8}} {{3, 5}} syncd, [4, 7, 1, 6, 7, 8, 8, 7], [8, 3, 5, 2, 3, 4, 4, 3] 2:2 , 2:2 , 4:4
127. {3, 4, 5, 6, 7, 8} {{7, 8}} {{1, 3, 8}, {2, 4, 7}} notsyncd, [4, 3, 5, 6, 7, 8, 8, 7], [8, 7, 1, 2, 3, 4, 4, 3] 1:2 , 3:6 , 2:4
128. {2, 3, 4, 5, 6, 7, 8} {{7, 8}} {{1, 3, 8}} syncd, [4, 7, 5, 6, 7, 8, 8, 7], [8, 3, 1, 2, 3, 4, 4, 3] 1:2 , 3:3 , 4:4

Summary

Spanning Vector: [48, 48, 96, 96, 48, 48, 96, 96]

Unicycle Frequency Length Value
{1, 2, 3, 4} 12 4 48
{7, 8} 32 2 64
{2, 4, 7} 20 3 60
{3, 5} 24 2 48
{4, 6} 24 2 48
{4, 6, 7, 8} 12 4 48
{3, 5, 7, 8} 12 4 48
{1, 2, 3, 4, 7, 8} 8 6 48
{2, 3, 4, 5, 7} 8 5 40
{1, 3, 8} 20 3 60
{1, 3, 4, 6, 8} 8 5 40
{3, 4, 5, 6, 7, 8} 4 6 24

Twice No. of Spanning In-Trees = 576