Spanning Run

R

[3, 8, 8, 6, 7, 4, 4, 2]

B

[6, 3, 1, 1, 2, 7, 5, 5]

pi

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

indegrees

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

Friedman weight

8

det

4236243/134217728, .3156246990e-1

nullspace of Delta

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

nullspace of A

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

spanNum

160

Data

Coloring R-cycles B-cycles Sync'd/Not Sync'd R/B/Delta Ranking
1. {} {{2, 8}, {4, 6}} {{1, 2, 3, 5, 6, 7}} notsyncd, [3, 8, 8, 6, 7, 4, 4, 2], [6, 3, 1, 1, 2, 7, 5, 5] 1:4 , 3:6 , 3:6
2. {2} {{2, 3, 8}, {4, 6}} {{2, 5, 8}} syncd, [3, 3, 8, 6, 7, 4, 4, 2], [6, 8, 1, 1, 2, 7, 5, 5] 3:5 , 3:3 , 6:6
3. {3} {{1, 3}, {2, 8}, {4, 6}} {{2, 3, 5, 8}} syncd, [3, 8, 1, 6, 7, 4, 4, 2], [6, 3, 8, 1, 2, 7, 5, 5] 1:6 , 1:4 , 6:6
4. {4} {{2, 8}} {{1, 2, 3, 5, 6, 7}} syncd, [3, 8, 8, 1, 7, 4, 4, 2], [6, 3, 1, 6, 2, 7, 5, 5] 1:2 , 6:6 , 6:6
5. {5} {{4, 6}, {2, 8}} {{5, 7}} syncd, [3, 8, 8, 6, 2, 4, 4, 2], [6, 3, 1, 1, 7, 7, 5, 5] 2:4 , 1:2 , 6:6
6. {6} {{4, 6, 7}, {2, 8}} {{1, 4, 6}} syncd, [3, 8, 8, 6, 7, 7, 4, 2], [6, 3, 1, 1, 2, 4, 5, 5] 3:5 , 3:3 , 6:6
7. {7} {{4, 6}, {5, 7}, {2, 8}} {{1, 4, 6, 7}} syncd, [3, 8, 8, 6, 7, 4, 5, 2], [6, 3, 1, 1, 2, 7, 4, 5] 1:6 , 1:4 , 6:6
8. {8} {{4, 6}} {{1, 2, 3, 5, 6, 7}} syncd, [3, 8, 8, 6, 7, 4, 4, 5], [6, 3, 1, 1, 2, 7, 5, 2] 1:2 , 6:6 , 6:6
9. {2, 3} {{1, 3}, {4, 6}} {{2, 5, 8}} syncd, [3, 3, 1, 6, 7, 4, 4, 2], [6, 8, 8, 1, 2, 7, 5, 5] 1:4 , 3:3 , 6:6
10. {2, 4} {{2, 3, 8}} {{2, 5, 8}} syncd, [3, 3, 8, 1, 7, 4, 4, 2], [6, 8, 1, 6, 2, 7, 5, 5] 3:3 , 3:3 , 6:6
11. {2, 5} {{2, 3, 8}, {4, 6}} {{5, 7}} syncd, [3, 3, 8, 6, 2, 4, 4, 2], [6, 8, 1, 1, 7, 7, 5, 5] 4:5 , 2:2 , 6:6
12. {2, 6} {{2, 3, 8}, {4, 6, 7}} {{2, 5, 8}, {1, 4, 6}} notsyncd, [3, 3, 8, 6, 7, 7, 4, 2], [6, 8, 1, 1, 2, 4, 5, 5] 3:6 , 3:6 , 3:6
13. {2, 7} {{2, 3, 8}, {5, 7}, {4, 6}} {{2, 5, 8}, {1, 4, 6, 7}} syncnorank, [3, 3, 8, 6, 7, 4, 5, 2], [6, 8, 1, 1, 2, 7, 4, 5] 3:7 , 4:7 , 5:6
14. {2, 8} {{4, 6}} {{2, 8}} syncd, [3, 3, 8, 6, 7, 4, 4, 5], [6, 8, 1, 1, 2, 7, 5, 2] 2:2 , 2:2 , 3:6
15. {3, 4} {{1, 3}, {2, 8}} {{2, 3, 5, 8}} syncd, [3, 8, 1, 1, 7, 4, 4, 2], [6, 3, 8, 6, 2, 7, 5, 5] 1:4 , 4:4 , 6:6
16. {3, 5} {{1, 3}, {2, 8}, {4, 6}} {{5, 7}} notsyncd, [3, 8, 1, 6, 2, 4, 4, 2], [6, 3, 8, 1, 7, 7, 5, 5] 2:6 , 1:2 , 2:6
17. {3, 6} {{1, 3}, {4, 6, 7}, {2, 8}} {{2, 3, 5, 8}, {1, 4, 6}} syncnorank, [3, 8, 1, 6, 7, 7, 4, 2], [6, 3, 8, 1, 2, 4, 5, 5] 3:7 , 4:7 , 5:6
18. {3, 7} {{1, 3}, {5, 7}, {2, 8}, {4, 6}} {{1, 4, 6, 7}, {2, 3, 5, 8}} notsyncd, [3, 8, 1, 6, 7, 4, 5, 2], [6, 3, 8, 1, 2, 7, 4, 5] 1:8 , 1:8 , 0:6
19. {3, 8} {{1, 3}, {4, 6}} {{2, 3, 8}} syncd, [3, 8, 1, 6, 7, 4, 4, 5], [6, 3, 8, 1, 2, 7, 5, 2] 1:4 , 3:3 , 5:6
20. {4, 5} {{2, 8}} {{5, 7}} syncd, [3, 8, 8, 1, 2, 4, 4, 2], [6, 3, 1, 6, 7, 7, 5, 5] 2:2 , 2:2 , 6:6
21. {4, 6} {{2, 8}} {{4, 6}} syncd, [3, 8, 8, 1, 7, 7, 4, 2], [6, 3, 1, 6, 2, 4, 5, 5] 2:2 , 2:2 , 3:6
22. {4, 7} {{5, 7}, {2, 8}} {{4, 6, 7}} syncd, [3, 8, 8, 1, 7, 4, 5, 2], [6, 3, 1, 6, 2, 7, 4, 5] 1:4 , 3:3 , 5:6
23. {4, 8} {{1, 3, 4, 5, 7, 8}} {{1, 2, 3, 5, 6, 7}} notsyncd, [3, 8, 8, 1, 7, 4, 4, 5], [6, 3, 1, 6, 2, 7, 5, 2] 3:6 , 3:6 , 3:6
24. {5, 6} {{4, 6, 7}, {2, 8}} {{5, 7}, {1, 4, 6}} syncd, [3, 8, 8, 6, 2, 7, 4, 2], [6, 3, 1, 1, 7, 4, 5, 5] 2:5 , 4:5 , 6:6
25. {5, 7} {{2, 8}, {4, 6}} {{1, 4, 6, 7}} notsyncd, [3, 8, 8, 6, 2, 4, 5, 2], [6, 3, 1, 1, 7, 7, 4, 5] 1:4 , 1:4 , 3:6
26. {5, 8} {{2, 5, 8}, {4, 6}} {{5, 7}} syncd, [3, 8, 8, 6, 2, 4, 4, 5], [6, 3, 1, 1, 7, 7, 5, 2] 4:5 , 2:2 , 6:6
27. {6, 7} {{5, 7}, {2, 8}} {{1, 4, 6}} syncd, [3, 8, 8, 6, 7, 7, 5, 2], [6, 3, 1, 1, 2, 4, 4, 5] 1:4 , 3:3 , 6:6
28. {6, 8} {{4, 6, 7}} {{1, 4, 6}} syncd, [3, 8, 8, 6, 7, 7, 4, 5], [6, 3, 1, 1, 2, 4, 5, 2] 3:3 , 3:3 , 6:6
29. {7, 8} {{5, 7}, {4, 6}} {{1, 4, 6, 7}} syncd, [3, 8, 8, 6, 7, 4, 5, 5], [6, 3, 1, 1, 2, 7, 4, 2] 1:4 , 4:4 , 6:6
30. {2, 3, 4} {{1, 3}} {{2, 5, 8}} syncd, [3, 3, 1, 1, 7, 4, 4, 2], [6, 8, 8, 6, 2, 7, 5, 5] 1:2 , 3:3 , 6:6
31. {2, 3, 5} {{1, 3}, {4, 6}} {{5, 7}} syncd, [3, 3, 1, 6, 2, 4, 4, 2], [6, 8, 8, 1, 7, 7, 5, 5] 2:4 , 2:2 , 6:6
32. {2, 3, 6} {{4, 6, 7}, {1, 3}} {{2, 5, 8}, {1, 4, 6}} syncd, [3, 3, 1, 6, 7, 7, 4, 2], [6, 8, 8, 1, 2, 4, 5, 5] 3:5 , 3:6 , 6:6
33. {2, 3, 7} {{1, 3}, {5, 7}, {4, 6}} {{2, 5, 8}, {1, 4, 6, 7}} syncd, [3, 3, 1, 6, 7, 4, 5, 2], [6, 8, 8, 1, 2, 7, 4, 5] 1:6 , 3:7 , 6:6
34. {2, 3, 8} {{1, 3}, {4, 6}} {{2, 8}} syncd, [3, 3, 1, 6, 7, 4, 4, 5], [6, 8, 8, 1, 2, 7, 5, 2] 2:4 , 1:2 , 6:6
35. {2, 4, 5} {{2, 3, 8}} {{5, 7}} syncd, [3, 3, 8, 1, 2, 4, 4, 2], [6, 8, 1, 6, 7, 7, 5, 5] 3:3 , 1:2 , 6:6
36. {2, 4, 6} {{2, 3, 8}} {{2, 5, 8}, {4, 6}} syncd, [3, 3, 8, 1, 7, 7, 4, 2], [6, 8, 1, 6, 2, 4, 5, 5] 3:3 , 3:5 , 6:6
37. {2, 4, 7} {{2, 3, 8}, {5, 7}} {{4, 6, 7}, {2, 5, 8}} syncd, [3, 3, 8, 1, 7, 4, 5, 2], [6, 8, 1, 6, 2, 7, 4, 5] 1:5 , 3:6 , 6:6
38. {2, 4, 8} {{1, 3, 4, 5, 7, 8}} {{2, 8}} syncd, [3, 3, 8, 1, 7, 4, 4, 5], [6, 8, 1, 6, 2, 7, 5, 2] 6:6 , 1:2 , 6:6
39. {2, 5, 6} {{4, 6, 7}, {2, 3, 8}} {{5, 7}, {1, 4, 6}} syncd, [3, 3, 8, 6, 2, 7, 4, 2], [6, 8, 1, 1, 7, 4, 5, 5] 3:6 , 3:5 , 6:6
40. {2, 5, 7} {{2, 3, 8}, {4, 6}} {{1, 4, 6, 7}} syncd, [3, 3, 8, 6, 2, 4, 5, 2], [6, 8, 1, 1, 7, 7, 4, 5] 1:5 , 4:4 , 6:6
41. {2, 5, 8} {{2, 3, 5, 8}, {4, 6}} {{5, 7}, {2, 8}} syncd, [3, 3, 8, 6, 2, 4, 4, 5], [6, 8, 1, 1, 7, 7, 5, 2] 4:6 , 2:4 , 6:6
42. {2, 6, 7} {{2, 3, 8}, {5, 7}} {{2, 5, 8}, {1, 4, 6}} syncd, [3, 3, 8, 6, 7, 7, 5, 2], [6, 8, 1, 1, 2, 4, 4, 5] 3:5 , 3:6 , 6:6
43. {2, 6, 8} {{4, 6, 7}} {{1, 4, 6}, {2, 8}} syncd, [3, 3, 8, 6, 7, 7, 4, 5], [6, 8, 1, 1, 2, 4, 5, 2] 3:3 , 3:5 , 6:6
44. {2, 7, 8} {{5, 7}, {4, 6}} {{1, 4, 6, 7}, {2, 8}} syncd, [3, 3, 8, 6, 7, 4, 5, 5], [6, 8, 1, 1, 2, 7, 4, 2] 2:4 , 4:6 , 6:6
45. {3, 4, 5} {{1, 3}, {2, 8}} {{5, 7}} syncd, [3, 8, 1, 1, 2, 4, 4, 2], [6, 3, 8, 6, 7, 7, 5, 5] 2:4 , 2:2 , 6:6
46. {3, 4, 6} {{1, 3}, {2, 8}} {{2, 3, 5, 8}, {4, 6}} syncd, [3, 8, 1, 1, 7, 7, 4, 2], [6, 3, 8, 6, 2, 4, 5, 5] 2:4 , 4:6 , 6:6
47. {3, 4, 7} {{1, 3}, {5, 7}, {2, 8}} {{4, 6, 7}, {2, 3, 5, 8}} syncd, [3, 8, 1, 1, 7, 4, 5, 2], [6, 3, 8, 6, 2, 7, 4, 5] 1:6 , 3:7 , 6:6
48. {3, 4, 8} {{1, 3}} {{2, 3, 8}} syncd, [3, 8, 1, 1, 7, 4, 4, 5], [6, 3, 8, 6, 2, 7, 5, 2] 1:2 , 3:3 , 6:6
49. {3, 5, 6} {{4, 6, 7}, {1, 3}, {2, 8}} {{5, 7}, {1, 4, 6}} syncd, [3, 8, 1, 6, 2, 7, 4, 2], [6, 3, 8, 1, 7, 4, 5, 5] 2:7 , 2:5 , 6:6
50. {3, 5, 7} {{1, 3}, {2, 8}, {4, 6}} {{1, 4, 6, 7}} syncd, [3, 8, 1, 6, 2, 4, 5, 2], [6, 3, 8, 1, 7, 7, 4, 5] 1:6 , 1:4 , 6:6
51. {3, 5, 8} {{2, 5, 8}, {1, 3}, {4, 6}} {{2, 3, 8}, {5, 7}} syncd, [3, 8, 1, 6, 2, 4, 4, 5], [6, 3, 8, 1, 7, 7, 5, 2] 2:7 , 2:5 , 6:6
52. {3, 6, 7} {{1, 3}, {5, 7}, {2, 8}} {{2, 3, 5, 8}, {1, 4, 6}} syncd, [3, 8, 1, 6, 7, 7, 5, 2], [6, 3, 8, 1, 2, 4, 4, 5] 1:6 , 3:7 , 6:6
53. {3, 6, 8} {{4, 6, 7}, {1, 3}} {{2, 3, 8}, {1, 4, 6}} syncd, [3, 8, 1, 6, 7, 7, 4, 5], [6, 3, 8, 1, 2, 4, 5, 2] 1:5 , 3:6 , 6:6
54. {3, 7, 8} {{1, 3}, {5, 7}, {4, 6}} {{1, 4, 6, 7}, {2, 3, 8}} syncd, [3, 8, 1, 6, 7, 4, 5, 5], [6, 3, 8, 1, 2, 7, 4, 2] 1:6 , 3:7 , 6:6
55. {4, 5, 6} {{2, 8}} {{5, 7}, {4, 6}} syncd, [3, 8, 8, 1, 2, 7, 4, 2], [6, 3, 1, 6, 7, 4, 5, 5] 1:2 , 2:4 , 6:6
56. {4, 5, 7} {{2, 8}} {{4, 6, 7}} syncd, [3, 8, 8, 1, 2, 4, 5, 2], [6, 3, 1, 6, 7, 7, 4, 5] 1:2 , 3:3 , 6:6
57. {4, 5, 8} {{2, 5, 8}} {{5, 7}} syncd, [3, 8, 8, 1, 2, 4, 4, 5], [6, 3, 1, 6, 7, 7, 5, 2] 3:3 , 1:2 , 6:6
58. {4, 6, 7} {{5, 7}, {2, 8}} {{4, 6}} syncd, [3, 8, 8, 1, 7, 7, 5, 2], [6, 3, 1, 6, 2, 4, 4, 5] 2:4 , 1:2 , 6:6
59. {4, 6, 8} {{1, 3, 4, 5, 7, 8}} {{4, 6}} syncd, [3, 8, 8, 1, 7, 7, 4, 5], [6, 3, 1, 6, 2, 4, 5, 2] 6:6 , 1:2 , 6:6
60. {4, 7, 8} {{5, 7}} {{4, 6, 7}} syncd, [3, 8, 8, 1, 7, 4, 5, 5], [6, 3, 1, 6, 2, 7, 4, 2] 1:2 , 3:3 , 6:6
61. {5, 6, 7} {{2, 8}} {{1, 4, 6}} syncd, [3, 8, 8, 6, 2, 7, 5, 2], [6, 3, 1, 1, 7, 4, 4, 5] 1:2 , 3:3 , 6:6
62. {5, 6, 8} {{4, 6, 7}, {2, 5, 8}} {{5, 7}, {1, 4, 6}} syncd, [3, 8, 8, 6, 2, 7, 4, 5], [6, 3, 1, 1, 7, 4, 5, 2] 3:6 , 1:5 , 6:6
63. {5, 7, 8} {{2, 5, 8}, {4, 6}} {{1, 4, 6, 7}} syncd, [3, 8, 8, 6, 2, 4, 5, 5], [6, 3, 1, 1, 7, 7, 4, 2] 1:5 , 4:4 , 6:6
64. {6, 7, 8} {{5, 7}} {{1, 4, 6}} syncd, [3, 8, 8, 6, 7, 7, 5, 5], [6, 3, 1, 1, 2, 4, 4, 2] 1:2 , 3:3 , 6:6
65. {2, 3, 4, 5} {{1, 3}} {{5, 7}} notsyncd, [3, 3, 1, 1, 2, 4, 4, 2], [6, 8, 8, 6, 7, 7, 5, 5] 1:2 , 1:2 , 2:6
66. {2, 3, 4, 6} {{1, 3}} {{2, 5, 8}, {4, 6}} syncd, [3, 3, 1, 1, 7, 7, 4, 2], [6, 8, 8, 6, 2, 4, 5, 5] 2:2 , 4:5 , 6:6
67. {2, 3, 4, 7} {{1, 3}, {5, 7}} {{4, 6, 7}, {2, 5, 8}} notsyncd, [3, 3, 1, 1, 7, 4, 5, 2], [6, 8, 8, 6, 2, 7, 4, 5] 1:4 , 3:6 , 2:6
68. {2, 3, 4, 8} {{1, 3}} {{2, 8}} syncd, [3, 3, 1, 1, 7, 4, 4, 5], [6, 8, 8, 6, 2, 7, 5, 2] 2:2 , 2:2 , 6:6
69. {2, 3, 5, 6} {{4, 6, 7}, {1, 3}} {{5, 7}, {1, 4, 6}} syncd, [3, 3, 1, 6, 2, 7, 4, 2], [6, 8, 8, 1, 7, 4, 5, 5] 2:5 , 2:5 , 6:6
70. {2, 3, 5, 7} {{1, 3}, {4, 6}} {{1, 4, 6, 7}} syncd, [3, 3, 1, 6, 2, 4, 5, 2], [6, 8, 8, 1, 7, 7, 4, 5] 1:4 , 4:4 , 6:6
71. {2, 3, 5, 8} {{1, 3}, {4, 6}} {{5, 7}, {2, 8}} syncd, [3, 3, 1, 6, 2, 4, 4, 5], [6, 8, 8, 1, 7, 7, 5, 2] 2:4 , 2:4 , 6:6
72. {2, 3, 6, 7} {{1, 3}, {5, 7}} {{2, 5, 8}, {1, 4, 6}} notsyncd, [3, 3, 1, 6, 7, 7, 5, 2], [6, 8, 8, 1, 2, 4, 4, 5] 1:4 , 3:6 , 3:6
73. {2, 3, 6, 8} {{4, 6, 7}, {1, 3}} {{1, 4, 6}, {2, 8}} syncd, [3, 3, 1, 6, 7, 7, 4, 5], [6, 8, 8, 1, 2, 4, 5, 2] 4:5 , 2:5 , 6:6
74. {2, 3, 7, 8} {{1, 3}, {5, 7}, {4, 6}} {{1, 4, 6, 7}, {2, 8}} notsyncd, [3, 3, 1, 6, 7, 4, 5, 5], [6, 8, 8, 1, 2, 7, 4, 2] 2:6 , 1:6 , 3:6
75. {2, 4, 5, 6} {{2, 3, 8}} {{5, 7}, {4, 6}} syncd, [3, 3, 8, 1, 2, 7, 4, 2], [6, 8, 1, 6, 7, 4, 5, 5] 3:3 , 1:4 , 6:6
76. {2, 4, 5, 7} {{2, 3, 8}} {{4, 6, 7}} syncd, [3, 3, 8, 1, 2, 4, 5, 2], [6, 8, 1, 6, 7, 7, 4, 5] 3:3 , 3:3 , 6:6
77. {2, 4, 5, 8} {{2, 3, 5, 8}} {{5, 7}, {2, 8}} syncd, [3, 3, 8, 1, 2, 4, 4, 5], [6, 8, 1, 6, 7, 7, 5, 2] 4:4 , 1:4 , 6:6
78. {2, 4, 6, 7} {{2, 3, 8}, {5, 7}} {{2, 5, 8}, {4, 6}} syncd, [3, 3, 8, 1, 7, 7, 5, 2], [6, 8, 1, 6, 2, 4, 4, 5] 4:5 , 2:5 , 6:6
79. {2, 4, 6, 8} {{1, 3, 4, 5, 7, 8}} {{2, 8}, {4, 6}} notsyncd, [3, 3, 8, 1, 7, 7, 4, 5], [6, 8, 1, 6, 2, 4, 5, 2] 3:6 , 1:4 , 3:6
80. {2, 4, 7, 8} {{5, 7}} {{4, 6, 7}, {2, 8}} syncd, [3, 3, 8, 1, 7, 4, 5, 5], [6, 8, 1, 6, 2, 7, 4, 2] 2:2 , 4:5 , 6:6
81. {2, 5, 6, 7} {{2, 3, 8}} {{1, 4, 6}} syncd, [3, 3, 8, 6, 2, 7, 5, 2], [6, 8, 1, 1, 7, 4, 4, 5] 3:3 , 3:3 , 1:6
82. {2, 5, 6, 8} {{4, 6, 7}, {2, 3, 5, 8}} {{5, 7}, {1, 4, 6}, {2, 8}} syncnorank, [3, 3, 8, 6, 2, 7, 4, 5], [6, 8, 1, 1, 7, 4, 5, 2] 4:7 , 3:7 , 5:6
83. {2, 5, 7, 8} {{2, 3, 5, 8}, {4, 6}} {{1, 4, 6, 7}, {2, 8}} notsyncd, [3, 3, 8, 6, 2, 4, 5, 5], [6, 8, 1, 1, 7, 7, 4, 2] 2:6 , 2:6 , 3:6
84. {2, 6, 7, 8} {{5, 7}} {{1, 4, 6}, {2, 8}} syncd, [3, 3, 8, 6, 7, 7, 5, 5], [6, 8, 1, 1, 2, 4, 4, 2] 2:2 , 4:5 , 6:6
85. {3, 4, 5, 6} {{1, 3}, {2, 8}} {{5, 7}, {4, 6}} syncd, [3, 8, 1, 1, 2, 7, 4, 2], [6, 3, 8, 6, 7, 4, 5, 5] 2:4 , 2:4 , 6:6
86. {3, 4, 5, 7} {{1, 3}, {2, 8}} {{4, 6, 7}} syncd, [3, 8, 1, 1, 2, 4, 5, 2], [6, 3, 8, 6, 7, 7, 4, 5] 1:4 , 3:3 , 6:6
87. {3, 4, 5, 8} {{2, 5, 8}, {1, 3}} {{2, 3, 8}, {5, 7}} syncd, [3, 8, 1, 1, 2, 4, 4, 5], [6, 3, 8, 6, 7, 7, 5, 2] 2:5 , 2:5 , 6:6
88. {3, 4, 6, 7} {{1, 3}, {5, 7}, {2, 8}} {{2, 3, 5, 8}, {4, 6}} notsyncd, [3, 8, 1, 1, 7, 7, 5, 2], [6, 3, 8, 6, 2, 4, 4, 5] 2:6 , 1:6 , 3:6
89. {3, 4, 6, 8} {{1, 3}} {{2, 3, 8}, {4, 6}} syncd, [3, 8, 1, 1, 7, 7, 4, 5], [6, 3, 8, 6, 2, 4, 5, 2] 2:2 , 4:5 , 6:6
90. {3, 4, 7, 8} {{1, 3}, {5, 7}} {{4, 6, 7}, {2, 3, 8}} notsyncd, [3, 8, 1, 1, 7, 4, 5, 5], [6, 3, 8, 6, 2, 7, 4, 2] 1:4 , 3:6 , 3:6
91. {3, 5, 6, 7} {{1, 3}, {2, 8}} {{1, 4, 6}} syncd, [3, 8, 1, 6, 2, 7, 5, 2], [6, 3, 8, 1, 7, 4, 4, 5] 1:4 , 3:3 , 5:6
92. {3, 5, 6, 8} {{4, 6, 7}, {2, 5, 8}, {1, 3}} {{2, 3, 8}, {5, 7}, {1, 4, 6}} notsyncd, [3, 8, 1, 6, 2, 7, 4, 5], [6, 3, 8, 1, 7, 4, 5, 2] 1:8 , 1:8 , 0:6
93. {3, 5, 7, 8} {{2, 5, 8}, {1, 3}, {4, 6}} {{1, 4, 6, 7}, {2, 3, 8}} syncnorank, [3, 8, 1, 6, 2, 4, 5, 5], [6, 3, 8, 1, 7, 7, 4, 2] 3:7 , 4:7 , 5:6
94. {3, 6, 7, 8} {{1, 3}, {5, 7}} {{2, 3, 8}, {1, 4, 6}} notsyncd, [3, 8, 1, 6, 7, 7, 5, 5], [6, 3, 8, 1, 2, 4, 4, 2] 1:4 , 3:6 , 2:6
95. {4, 5, 6, 7} {{2, 8}} {{4, 6}} notsyncd, [3, 8, 8, 1, 2, 7, 5, 2], [6, 3, 1, 6, 7, 4, 4, 5] 1:2 , 1:2 , 3:6
96. {4, 5, 6, 8} {{2, 5, 8}} {{5, 7}, {4, 6}} syncd, [3, 8, 8, 1, 2, 7, 4, 5], [6, 3, 1, 6, 7, 4, 5, 2] 3:3 , 1:4 , 5:6
97. {4, 5, 7, 8} {{2, 5, 8}} {{4, 6, 7}} syncd, [3, 8, 8, 1, 2, 4, 5, 5], [6, 3, 1, 6, 7, 7, 4, 2] 3:3 , 3:3 , 1:6
98. {4, 6, 7, 8} {{5, 7}} {{4, 6}} syncd, [3, 8, 8, 1, 7, 7, 5, 5], [6, 3, 1, 6, 2, 4, 4, 2] 2:2 , 2:2 , 6:6
99. {5, 6, 7, 8} {{2, 5, 8}} {{1, 4, 6}} syncd, [3, 8, 8, 6, 2, 7, 5, 5], [6, 3, 1, 1, 7, 4, 4, 2] 3:3 , 3:3 , 6:6
100. {2, 3, 4, 5, 6} {{1, 3}} {{5, 7}, {4, 6}} syncd, [3, 3, 1, 1, 2, 7, 4, 2], [6, 8, 8, 6, 7, 4, 5, 5] 2:2 , 2:4 , 6:6
101. {2, 3, 4, 5, 7} {{1, 3}} {{4, 6, 7}} syncd, [3, 3, 1, 1, 2, 4, 5, 2], [6, 8, 8, 6, 7, 7, 4, 5] 1:2 , 3:3 , 6:6
102. {2, 3, 4, 5, 8} {{1, 3}} {{5, 7}, {2, 8}} syncd, [3, 3, 1, 1, 2, 4, 4, 5], [6, 8, 8, 6, 7, 7, 5, 2] 2:2 , 2:4 , 6:6
103. {2, 3, 4, 6, 7} {{1, 3}, {5, 7}} {{2, 5, 8}, {4, 6}} syncd, [3, 3, 1, 1, 7, 7, 5, 2], [6, 8, 8, 6, 2, 4, 4, 5] 2:4 , 3:5 , 6:6
104. {2, 3, 4, 6, 8} {{1, 3}} {{2, 8}, {4, 6}} syncd, [3, 3, 1, 1, 7, 7, 4, 5], [6, 8, 8, 6, 2, 4, 5, 2] 1:2 , 2:4 , 6:6
105. {2, 3, 4, 7, 8} {{1, 3}, {5, 7}} {{4, 6, 7}, {2, 8}} syncd, [3, 3, 1, 1, 7, 4, 5, 5], [6, 8, 8, 6, 2, 7, 4, 2] 2:4 , 3:5 , 6:6
106. {2, 3, 5, 6, 7} {{1, 3}} {{1, 4, 6}} syncd, [3, 3, 1, 6, 2, 7, 5, 2], [6, 8, 8, 1, 7, 4, 4, 5] 1:2 , 3:3 , 6:6
107. {2, 3, 5, 6, 8} {{4, 6, 7}, {1, 3}} {{5, 7}, {1, 4, 6}, {2, 8}} syncd, [3, 3, 1, 6, 2, 7, 4, 5], [6, 8, 8, 1, 7, 4, 5, 2] 2:5 , 2:7 , 6:6
108. {2, 3, 5, 7, 8} {{1, 3}, {4, 6}} {{1, 4, 6, 7}, {2, 8}} syncd, [3, 3, 1, 6, 2, 4, 5, 5], [6, 8, 8, 1, 7, 7, 4, 2] 2:4 , 4:6 , 6:6
109. {2, 3, 6, 7, 8} {{1, 3}, {5, 7}} {{1, 4, 6}, {2, 8}} syncd, [3, 3, 1, 6, 7, 7, 5, 5], [6, 8, 8, 1, 2, 4, 4, 2] 2:4 , 3:5 , 6:6
110. {2, 4, 5, 6, 7} {{2, 3, 8}} {{4, 6}} syncd, [3, 3, 8, 1, 2, 7, 5, 2], [6, 8, 1, 6, 7, 4, 4, 5] 3:3 , 1:2 , 6:6
111. {2, 4, 5, 6, 8} {{2, 3, 5, 8}} {{5, 7}, {2, 8}, {4, 6}} syncd, [3, 3, 8, 1, 2, 7, 4, 5], [6, 8, 1, 6, 7, 4, 5, 2] 1:4 , 1:6 , 6:6
112. {2, 4, 5, 7, 8} {{2, 3, 5, 8}} {{4, 6, 7}, {2, 8}} syncd, [3, 3, 8, 1, 2, 4, 5, 5], [6, 8, 1, 6, 7, 7, 4, 2] 4:4 , 1:5 , 6:6
113. {2, 4, 6, 7, 8} {{5, 7}} {{2, 8}, {4, 6}} syncd, [3, 3, 8, 1, 7, 7, 5, 5], [6, 8, 1, 6, 2, 4, 4, 2] 1:2 , 2:4 , 6:6
114. {2, 5, 6, 7, 8} {{2, 3, 5, 8}} {{1, 4, 6}, {2, 8}} syncd, [3, 3, 8, 6, 2, 7, 5, 5], [6, 8, 1, 1, 7, 4, 4, 2] 4:4 , 1:5 , 6:6
115. {3, 4, 5, 6, 7} {{1, 3}, {2, 8}} {{4, 6}} syncd, [3, 8, 1, 1, 2, 7, 5, 2], [6, 3, 8, 6, 7, 4, 4, 5] 2:4 , 1:2 , 6:6
116. {3, 4, 5, 6, 8} {{2, 5, 8}, {1, 3}} {{2, 3, 8}, {5, 7}, {4, 6}} syncd, [3, 8, 1, 1, 2, 7, 4, 5], [6, 3, 8, 6, 7, 4, 5, 2] 2:5 , 2:7 , 6:6
117. {3, 4, 5, 7, 8} {{2, 5, 8}, {1, 3}} {{4, 6, 7}, {2, 3, 8}} syncd, [3, 8, 1, 1, 2, 4, 5, 5], [6, 3, 8, 6, 7, 7, 4, 2] 3:5 , 3:6 , 6:6
118. {3, 4, 6, 7, 8} {{1, 3}, {5, 7}} {{2, 3, 8}, {4, 6}} syncd, [3, 8, 1, 1, 7, 7, 5, 5], [6, 3, 8, 6, 2, 4, 4, 2] 2:4 , 3:5 , 6:6
119. {3, 5, 6, 7, 8} {{2, 5, 8}, {1, 3}} {{2, 3, 8}, {1, 4, 6}} syncd, [3, 8, 1, 6, 2, 7, 5, 5], [6, 3, 8, 1, 7, 4, 4, 2] 1:5 , 3:6 , 6:6
120. {4, 5, 6, 7, 8} {{2, 5, 8}} {{4, 6}} syncd, [3, 8, 8, 1, 2, 7, 5, 5], [6, 3, 1, 6, 7, 4, 4, 2] 3:3 , 1:2 , 6:6
121. {2, 3, 4, 5, 6, 7} {{1, 3}} {{4, 6}} syncd, [3, 3, 1, 1, 2, 7, 5, 2], [6, 8, 8, 6, 7, 4, 4, 5] 2:2 , 2:2 , 6:6
122. {2, 3, 4, 5, 6, 8} {{1, 3}} {{5, 7}, {2, 8}, {4, 6}} notsyncd, [3, 3, 1, 1, 2, 7, 4, 5], [6, 8, 8, 6, 7, 4, 5, 2] 1:2 , 2:6 , 2:6
123. {2, 3, 4, 5, 7, 8} {{1, 3}} {{4, 6, 7}, {2, 8}} syncd, [3, 3, 1, 1, 2, 4, 5, 5], [6, 8, 8, 6, 7, 7, 4, 2] 2:2 , 4:5 , 6:6
124. {2, 3, 4, 6, 7, 8} {{1, 3}, {5, 7}} {{2, 8}, {4, 6}} notsyncd, [3, 3, 1, 1, 7, 7, 5, 5], [6, 8, 8, 6, 2, 4, 4, 2] 1:4 , 1:4 , 1:6
125. {2, 3, 5, 6, 7, 8} {{1, 3}} {{1, 4, 6}, {2, 8}} syncd, [3, 3, 1, 6, 2, 7, 5, 5], [6, 8, 8, 1, 7, 4, 4, 2] 2:2 , 4:5 , 6:6
126. {2, 4, 5, 6, 7, 8} {{2, 3, 5, 8}} {{2, 8}, {4, 6}} notsyncd, [3, 3, 8, 1, 2, 7, 5, 5], [6, 8, 1, 6, 7, 4, 4, 2] 1:4 , 1:4 , 3:6
127. {3, 4, 5, 6, 7, 8} {{2, 5, 8}, {1, 3}} {{2, 3, 8}, {4, 6}} syncd, [3, 8, 1, 1, 2, 7, 5, 5], [6, 3, 8, 6, 7, 4, 4, 2] 4:5 , 2:5 , 6:6
128. {2, 3, 4, 5, 6, 7, 8} {{1, 3}} {{2, 8}, {4, 6}} syncd, [3, 3, 1, 1, 2, 7, 5, 5], [6, 8, 8, 6, 7, 4, 4, 2] 1:2 , 2:4 , 6:6

Summary

Spanning Vector: [40, 40, 40, 40, 40, 40, 40, 40]

Unicycle Frequency Length Value
{1, 2, 3, 5, 6, 7} 4 6 24
{2, 5, 8} 9 3 27
{2, 3, 5, 8} 7 4 28
{2, 8} 11 2 22
{5, 7} 16 2 32
{1, 4, 6} 9 3 27
{1, 4, 6, 7} 7 4 28
{4, 6} 11 2 22
{2, 3, 8} 9 3 27
{4, 6, 7} 9 3 27
{1, 3, 4, 5, 7, 8} 4 6 24
{1, 3} 16 2 32

Twice No. of Spanning In-Trees = 320