-
Notifications
You must be signed in to change notification settings - Fork 0
/
matroids.json
45 lines (45 loc) · 40.6 KB
/
matroids.json
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
{
"U(2, 3)" : {"name": "U(2, 3): Matroid of rank 2 on 3 elements with circuit-closures\n{2: {{0, 1, 2}}}", "rank": 2, "sn": 3, "ct": [[1, 1], [1, -1]], "gdc": [1, 1], "dir": [[1, 0, 0], [1, 0, 0]]},
"U(3, 3)" : {"name": "U(3, 3): Matroid of rank 3 on 3 elements with circuit-closures\n{}", "rank": 3, "sn": 3, "ct": [[1, 1, 1], [2, 0, -1], [1, -1, 1]], "gdc": [1, 4, 1], "dir": [[1, 0, 0], [2, 1, 0], [1, 0, 0]]},
"U(2, 4)" : {"name": "U(2, 4): Matroid of rank 2 on 4 elements with circuit-closures\n{2: {{0, 1, 2, 3}}}", "rank": 2, "sn": 4, "ct": [[1, 1], [1, -1]], "gdc": [1, 1], "dir": [[1, 0, 0, 0, 0], [1, 0, 0, 0, 0]]},
"U(3, 4)" : {"name": "U(3, 4): Matroid of rank 3 on 4 elements with circuit-closures\n{3: {{0, 1, 2, 3}}}", "rank": 3, "sn": 4, "ct": [[1, 1, 1], [2, 0, -1], [1, -1, 1]], "gdc": [1, 7, 1], "dir": [[1, 0, 0, 0, 0], [2, 1, 1, 0, 0], [1, 0, 0, 0, 0]]},
"U(4, 4)" : {"name": "U(4, 4): Matroid of rank 4 on 4 elements with circuit-closures\n{}", "rank": 4, "sn": 4, "ct": [[1, 1, 1, 1, 1], [3, 1, -1, 0, -1], [2, 0, 2, -1, 0], [3, -1, -1, 0, 1], [1, -1, 1, 1, -1]], "gdc": [1, 11, 11, 1], "dir": [[1, 0, 0, 0, 0], [3, 2, 1, 0, 0], [3, 2, 1, 0, 0], [1, 0, 0, 0, 0]]},
"U(2, 5)" : {"name": "U(2, 5): Matroid of rank 2 on 5 elements with circuit-closures\n{2: {{0, 1, 2, 3, 4}}}", "rank": 2, "sn": 5, "ct": [[1, 1], [1, -1]], "gdc": [1, 1], "dir": [[1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0]]},
"U(3, 5)" : {"name": "U(3, 5): Matroid of rank 3 on 5 elements with circuit-closures\n{3: {{0, 1, 2, 3, 4}}}", "rank": 3, "sn": 5, "ct": [[1, 1, 1], [2, 0, -1], [1, -1, 1]], "gdc": [1, 11, 1], "dir": [[1, 0, 0, 0, 0, 0, 0], [2, 1, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0]]},
"U(4, 5)" : {"name": "U(4, 5): Matroid of rank 4 on 5 elements with circuit-closures\n{4: {{0, 1, 2, 3, 4}}}", "rank": 4, "sn": 5, "ct": [[1, 1, 1, 1, 1], [3, 1, -1, 0, -1], [2, 0, 2, -1, 0], [3, -1, -1, 0, 1], [1, -1, 1, 1, -1]], "gdc": [1, 21, 21, 1], "dir": [[1, 0, 0, 0, 0, 0, 0], [3, 2, 2, 0, 0, 0, 0], [3, 2, 2, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0]]},
"U(5, 5)" : {"name": "U(5, 5): Matroid of rank 5 on 5 elements with circuit-closures\n{}", "rank": 5, "sn": 5, "ct": [[1, 1, 1, 1, 1, 1, 1], [4, 2, 0, 1, -1, 0, -1], [5, 1, 1, -1, 1, -1, 0], [6, 0, -2, 0, 0, 0, 1], [5, -1, 1, -1, -1, 1, 0], [4, -2, 0, 1, 1, 0, -1], [1, -1, 1, 1, -1, -1, 1]], "gdc": [1, 26, 66, 26, 1], "dir": [[1, 0, 0, 0, 0, 0, 0], [4, 3, 2, 0, 0, 0, 0], [6, 6, 5, 1, 1, 0, 0], [4, 3, 2, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0]]},
"U(2, 6)" : {"name": "U(2, 6): Matroid of rank 2 on 6 elements with circuit-closures\n{2: {{0, 1, 2, 3, 4, 5}}}", "rank": 2, "sn": 6, "ct": [[1, 1], [1, -1]], "gdc": [1, 1], "dir": [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]},
"U(3, 6)" : {"name": "U(3, 6): Matroid of rank 3 on 6 elements with circuit-closures\n{3: {{0, 1, 2, 3, 4, 5}}}", "rank": 3, "sn": 6, "ct": [[1, 1, 1], [2, 0, -1], [1, -1, 1]], "gdc": [1, 16, 1], "dir": [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]},
"U(4, 6)" : {"name": "U(4, 6): Matroid of rank 4 on 6 elements with circuit-closures\n{4: {{0, 1, 2, 3, 4, 5}}}", "rank": 4, "sn": 6, "ct": [[1, 1, 1, 1, 1], [3, 1, -1, 0, -1], [2, 0, 2, -1, 0], [3, -1, -1, 0, 1], [1, -1, 1, 1, -1]], "gdc": [1, 36, 36, 1], "dir": [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0], [3, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]},
"U(5, 6)" : {"name": "U(5, 6): Matroid of rank 5 on 6 elements with circuit-closures\n{5: {{0, 1, 2, 3, 4, 5}}}", "rank": 5, "sn": 6, "ct": [[1, 1, 1, 1, 1, 1, 1], [4, 2, 0, 1, -1, 0, -1], [5, 1, 1, -1, 1, -1, 0], [6, 0, -2, 0, 0, 0, 1], [5, -1, 1, -1, -1, 1, 0], [4, -2, 0, 1, 1, 0, -1], [1, -1, 1, 1, -1, -1, 1]], "gdc": [1, 51, 161, 51, 1], "dir": [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 3, 3, 0, 1, 0, 0, 0, 0, 0, 0], [6, 6, 7, 1, 3, 2, 0, 1, 0, 0, 0], [4, 3, 3, 0, 1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]},
"U(6, 6)" : {"name": "U(6, 6): Matroid of rank 6 on 6 elements with circuit-closures\n{}", "rank": 6, "sn": 6, "ct": [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 3, 1, -1, 2, 0, -1, 1, -1, 0, -1], [9, 3, 1, 3, 0, 0, 0, -1, 1, -1, 0], [10, 2, -2, -2, 1, -1, 1, 0, 0, 0, 1], [5, 1, 1, -3, -1, 1, 2, -1, -1, 0, 0], [16, 0, 0, 0, -2, 0, -2, 0, 0, 1, 0], [10, -2, -2, 2, 1, 1, 1, 0, 0, 0, -1], [5, -1, 1, 3, -1, -1, 2, 1, -1, 0, 0], [9, -3, 1, -3, 0, 0, 0, 1, 1, -1, 0], [5, -3, 1, 1, 2, 0, -1, -1, -1, 0, 1], [1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1]], "gdc": [1, 57, 302, 302, 57, 1], "dir": [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 4, 3, 0, 1, 0, 0, 0, 0, 0, 0], [10, 12, 12, 3, 5, 4, 0, 1, 0, 0, 0], [10, 12, 12, 3, 5, 4, 0, 1, 0, 0, 0], [5, 4, 3, 0, 1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]},
"U(2, 7)" : {"name": "U(2, 7): Matroid of rank 2 on 7 elements with circuit-closures\n{2: {{0, 1, 2, 3, 4, 5, 6}}}", "rank": 2, "sn": 7, "ct": [[1, 1], [1, -1]], "gdc": [1, 1], "dir": [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]},
"U(3, 7)" : {"name": "U(3, 7): Matroid of rank 3 on 7 elements with circuit-closures\n{3: {{0, 1, 2, 3, 4, 5, 6}}}", "rank": 3, "sn": 7, "ct": [[1, 1, 1], [2, 0, -1], [1, -1, 1]], "gdc": [1, 22, 1], "dir": [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]},
"U(4, 7)" : {"name": "U(4, 7): Matroid of rank 4 on 7 elements with circuit-closures\n{4: {{0, 1, 2, 3, 4, 5, 6}}}", "rank": 4, "sn": 7, "ct": [[1, 1, 1, 1, 1], [3, 1, -1, 0, -1], [2, 0, 2, -1, 0], [3, -1, -1, 0, 1], [1, -1, 1, 1, -1]], "gdc": [1, 57, 57, 1], "dir": [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]},
"U(5, 7)" : {"name": "U(5, 7): Matroid of rank 5 on 7 elements with circuit-closures\n{5: {{0, 1, 2, 3, 4, 5, 6}}}", "rank": 5, "sn": 7, "ct": [[1, 1, 1, 1, 1, 1, 1], [4, 2, 0, 1, -1, 0, -1], [5, 1, 1, -1, 1, -1, 0], [6, 0, -2, 0, 0, 0, 1], [5, -1, 1, -1, -1, 1, 0], [4, -2, 0, 1, 1, 0, -1], [1, -1, 1, 1, -1, -1, 1]], "gdc": [1, 92, 337, 92, 1], "dir": [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 3, 3, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 7, 1, 5, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0], [4, 3, 3, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]},
"U(6, 7)" : {"name": "U(6, 7): Matroid of rank 6 on 7 elements with circuit-closures\n{6: {{0, 1, 2, 3, 4, 5, 6}}}", "rank": 6, "sn": 7, "ct": [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 3, 1, -1, 2, 0, -1, 1, -1, 0, -1], [9, 3, 1, 3, 0, 0, 0, -1, 1, -1, 0], [10, 2, -2, -2, 1, -1, 1, 0, 0, 0, 1], [5, 1, 1, -3, -1, 1, 2, -1, -1, 0, 0], [16, 0, 0, 0, -2, 0, -2, 0, 0, 1, 0], [10, -2, -2, 2, 1, 1, 1, 0, 0, 0, -1], [5, -1, 1, 3, -1, -1, 2, 1, -1, 0, 0], [9, -3, 1, -3, 0, 0, 0, 1, 1, -1, 0], [5, -3, 1, 1, 2, 0, -1, -1, -1, 0, 1], [1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1]], "gdc": [1, 113, 813, 813, 113, 1], "dir": [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 4, 4, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [10, 12, 15, 3, 10, 6, 0, 3, 3, 0, 0, 0, 0, 0, 0], [10, 12, 15, 3, 10, 6, 0, 3, 3, 0, 0, 0, 0, 0, 0], [5, 4, 4, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]},
"U(7, 7)" : {"name": "U(7, 7): Matroid of rank 7 on 7 elements with circuit-closures\n{}", "rank": 7, "sn": 7, "ct": [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [6, 4, 2, 0, 3, 1, -1, 0, 2, 0, -1, 1, -1, 0, -1], [14, 6, 2, 2, 2, 0, 2, -1, 0, 0, 0, -1, 1, -1, 0], [15, 5, -1, -3, 3, -1, -1, 0, 1, -1, 1, 0, 0, 0, 1], [14, 4, 2, 0, -1, 1, -1, 2, -2, 0, 1, -1, -1, 0, 0], [35, 5, -1, 1, -1, -1, -1, -1, -1, 1, -1, 0, 0, 1, 0], [20, 0, -4, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, -1], [21, 1, 1, -3, -3, 1, 1, 0, -1, -1, -1, 1, 1, 0, 0], [21, -1, 1, 3, -3, -1, 1, 0, 1, -1, 1, 1, -1, 0, 0], [35, -5, -1, -1, -1, 1, -1, -1, 1, 1, 1, 0, 0, -1, 0], [15, -5, -1, 3, 3, 1, -1, 0, -1, -1, -1, 0, 0, 0, 1], [14, -4, 2, 0, -1, -1, -1, 2, 2, 0, -1, -1, 1, 0, 0], [14, -6, 2, -2, 2, 0, 2, -1, 0, 0, 0, -1, -1, 1, 0], [6, -4, 2, 0, 3, -1, -1, 0, -2, 0, 1, 1, 1, 0, -1], [1, -1, 1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 1]], "gdc": [1, 120, 1191, 2416, 1191, 120, 1], "dir": [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 5, 4, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [15, 20, 22, 6, 14, 9, 0, 4, 3, 0, 0, 0, 0, 0, 0], [20, 30, 36, 12, 25, 20, 1, 10, 8, 2, 0, 1, 0, 0, 0], [15, 20, 22, 6, 14, 9, 0, 4, 3, 0, 0, 0, 0, 0, 0], [6, 5, 4, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]},
"U(2, 8)" : {"name": "U(2, 8): Matroid of rank 2 on 8 elements with circuit-closures\n{2: {{0, 1, 2, 3, 4, 5, 6, 7}}}", "rank": 2, "sn": 8, "ct": [[1, 1], [1, -1]], "gdc": [1, 1], "dir": [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]},
"U(3, 8)" : {"name": "U(3, 8): Matroid of rank 3 on 8 elements with circuit-closures\n{3: {{0, 1, 2, 3, 4, 5, 6, 7}}}", "rank": 3, "sn": 8, "ct": [[1, 1, 1], [2, 0, -1], [1, -1, 1]], "gdc": [1, 29, 1], "dir": [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]},
"U(4, 8)" : {"name": "U(4, 8): Matroid of rank 4 on 8 elements with circuit-closures\n{4: {{0, 1, 2, 3, 4, 5, 6, 7}}}", "rank": 4, "sn": 8, "ct": [[1, 1, 1, 1, 1], [3, 1, -1, 0, -1], [2, 0, 2, -1, 0], [3, -1, -1, 0, 1], [1, -1, 1, 1, -1]], "gdc": [1, 85, 85, 1], "dir": [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]},
"U(5, 8)" : {"name": "U(5, 8): Matroid of rank 5 on 8 elements with circuit-closures\n{5: {{0, 1, 2, 3, 4, 5, 6, 7}}}", "rank": 5, "sn": 8, "ct": [[1, 1, 1, 1, 1, 1, 1], [4, 2, 0, 1, -1, 0, -1], [5, 1, 1, -1, 1, -1, 0], [6, 0, -2, 0, 0, 0, 1], [5, -1, 1, -1, -1, 1, 0], [4, -2, 0, 1, 1, 0, -1], [1, -1, 1, 1, -1, -1, 1]], "gdc": [1, 155, 631, 155, 1], "dir": [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 3, 3, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 7, 1, 5, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 3, 3, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]},
"U(6, 8)" : {"name": "U(6, 8): Matroid of rank 6 on 8 elements with circuit-closures\n{6: {{0, 1, 2, 3, 4, 5, 6, 7}}}", "rank": 6, "sn": 8, "ct": [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 3, 1, -1, 2, 0, -1, 1, -1, 0, -1], [9, 3, 1, 3, 0, 0, 0, -1, 1, -1, 0], [10, 2, -2, -2, 1, -1, 1, 0, 0, 0, 1], [5, 1, 1, -3, -1, 1, 2, -1, -1, 0, 0], [16, 0, 0, 0, -2, 0, -2, 0, 0, 1, 0], [10, -2, -2, 2, 1, 1, 1, 0, 0, 0, -1], [5, -1, 1, 3, -1, -1, 2, 1, -1, 0, 0], [9, -3, 1, -3, 0, 0, 0, 1, 1, -1, 0], [5, -3, 1, 1, 2, 0, -1, -1, -1, 0, 1], [1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1]], "gdc": [1, 211, 1877, 1877, 211, 1], "dir": [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 4, 4, 0, 3, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [10, 12, 15, 3, 13, 6, 0, 5, 5, 3, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [10, 12, 15, 3, 13, 6, 0, 5, 5, 3, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 4, 4, 0, 3, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]},
"U(7, 8)" : {"name": "U(7, 8): Matroid of rank 7 on 8 elements with circuit-closures\n{7: {{0, 1, 2, 3, 4, 5, 6, 7}}}", "rank": 7, "sn": 8, "ct": [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [6, 4, 2, 0, 3, 1, -1, 0, 2, 0, -1, 1, -1, 0, -1], [14, 6, 2, 2, 2, 0, 2, -1, 0, 0, 0, -1, 1, -1, 0], [15, 5, -1, -3, 3, -1, -1, 0, 1, -1, 1, 0, 0, 0, 1], [14, 4, 2, 0, -1, 1, -1, 2, -2, 0, 1, -1, -1, 0, 0], [35, 5, -1, 1, -1, -1, -1, -1, -1, 1, -1, 0, 0, 1, 0], [20, 0, -4, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, -1], [21, 1, 1, -3, -3, 1, 1, 0, -1, -1, -1, 1, 1, 0, 0], [21, -1, 1, 3, -3, -1, 1, 0, 1, -1, 1, 1, -1, 0, 0], [35, -5, -1, -1, -1, 1, -1, -1, 1, 1, 1, 0, 0, -1, 0], [15, -5, -1, 3, 3, 1, -1, 0, -1, -1, -1, 0, 0, 0, 1], [14, -4, 2, 0, -1, -1, -1, 2, 2, 0, -1, -1, 1, 0, 0], [14, -6, 2, -2, 2, 0, 2, -1, 0, 0, 0, -1, -1, 1, 0], [6, -4, 2, 0, 3, -1, -1, 0, -2, 0, 1, 1, 1, 0, -1], [1, -1, 1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 1]], "gdc": [1, 239, 3361, 7631, 3361, 239, 1], "dir": [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 5, 5, 0, 3, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [15, 20, 26, 6, 21, 12, 0, 8, 9, 6, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [20, 30, 42, 12, 37, 26, 1, 15, 22, 15, 3, 0, 9, 2, 3, 0, 0, 1, 0, 0, 0, 0], [15, 20, 26, 6, 21, 12, 0, 8, 9, 6, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 5, 5, 0, 3, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]},
"U(8, 8)" : {"name": "U(8, 8): Matroid of rank 8 on 8 elements with circuit-closures\n{}", "rank": 8, "sn": 8, "ct": [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [7, 5, 3, 1, -1, 4, 2, 0, 1, -1, 3, 1, -1, 0, -1, 2, 0, -1, 1, -1, 0, -1], [20, 10, 4, 2, 4, 5, 1, 1, -1, 1, 2, 0, 2, -1, 0, 0, 0, 0, -1, 1, -1, 0], [21, 9, 1, -3, -3, 6, 0, -2, 0, 0, 3, -1, -1, 0, 1, 1, -1, 1, 0, 0, 0, 1], [28, 10, 4, 2, -4, 1, 1, 1, 1, 1, -2, 0, -2, 1, 0, -2, 0, 1, -1, -1, 0, 0], [64, 16, 0, 0, 0, 4, -2, 0, -2, -2, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 1, 0], [35, 5, -5, -3, 3, 5, -1, 1, 2, 2, 1, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, -1], [14, 4, 2, 0, 6, -1, 1, -1, 2, -2, -2, 0, 2, 1, 2, -1, -1, -1, 0, 0, 0, 0], [70, 10, 2, -2, -2, -5, 1, -1, 1, 1, -4, 0, 0, -1, -2, 0, 0, 0, 1, 1, 0, 0], [56, 4, 0, 4, 8, -4, -2, 0, -1, 1, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, 0, 0], [90, 0, -6, 0, -6, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0], [35, -5, -5, 3, 3, 5, 1, 1, 2, -2, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 1], [42, 0, 2, 0, -6, -6, 0, 2, 0, 0, 0, -2, 0, 0, 2, 2, 0, -1, 0, 0, 0, 0], [56, -4, 0, -4, 8, -4, 2, 0, -1, -1, 0, 0, 0, 0, 0, 1, 1, 1, -1, -1, 0, 0], [70, -10, 2, 2, -2, -5, -1, -1, 1, -1, 4, 0, 0, 1, -2, 0, 0, 0, -1, 1, 0, 0], [64, -16, 0, 0, 0, 4, 2, 0, -2, 2, 0, 0, 0, 0, 0, -1, -1, -1, 0, 0, 1, 0], [21, -9, 1, 3, -3, 6, 0, -2, 0, 0, -3, -1, 1, 0, 1, 1, 1, 1, 0, 0, 0, -1], [14, -4, 2, 0, 6, -1, -1, -1, 2, 2, 2, 0, -2, -1, 2, -1, 1, -1, 0, 0, 0, 0], [28, -10, 4, -2, -4, 1, -1, 1, 1, -1, 2, 0, 2, -1, 0, -2, 0, 1, 1, -1, 0, 0], [20, -10, 4, -2, 4, 5, -1, 1, -1, -1, -2, 0, -2, 1, 0, 0, 0, 0, 1, 1, -1, 0], [7, -5, 3, -1, -1, 4, -2, 0, 1, 1, -3, 1, 1, 0, -1, 2, 0, -1, -1, -1, 0, 1], [1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, -1]], "gdc": [1, 247, 4293, 15619, 15619, 4293, 247, 1], "dir": [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 6, 5, 0, 3, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [21, 30, 35, 10, 27, 16, 0, 10, 11, 6, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [35, 60, 80, 30, 70, 56, 4, 28, 45, 27, 9, 0, 16, 5, 6, 0, 0, 1, 0, 0, 0, 0], [35, 60, 80, 30, 70, 56, 4, 28, 45, 27, 9, 0, 16, 5, 6, 0, 0, 1, 0, 0, 0, 0], [21, 30, 35, 10, 27, 16, 0, 10, 11, 6, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 6, 5, 0, 3, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]},
"U(2, 9)" : {"name": "U(2, 9): Matroid of rank 2 on 9 elements with circuit-closures\n{2: {{0, 1, 2, 3, 4, 5, 6, 7, 8}}}", "rank": 2, "sn": 9, "ct": [[1, 1], [1, -1]], "gdc": [1, 1], "dir": [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]},
"U(3, 9)" : {"name": "U(3, 9): Matroid of rank 3 on 9 elements with circuit-closures\n{3: {{0, 1, 2, 3, 4, 5, 6, 7, 8}}}", "rank": 3, "sn": 9, "ct": [[1, 1, 1], [2, 0, -1], [1, -1, 1]], "gdc": [1, 37, 1], "dir": [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]},
"U(4, 9)" : {"name": "U(4, 9): Matroid of rank 4 on 9 elements with circuit-closures\n{4: {{0, 1, 2, 3, 4, 5, 6, 7, 8}}}", "rank": 4, "sn": 9, "ct": [[1, 1, 1, 1, 1], [3, 1, -1, 0, -1], [2, 0, 2, -1, 0], [3, -1, -1, 0, 1], [1, -1, 1, 1, -1]], "gdc": [1, 121, 121, 1], "dir": [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]},
"U(5, 9)" : {"name": "U(5, 9): Matroid of rank 5 on 9 elements with circuit-closures\n{5: {{0, 1, 2, 3, 4, 5, 6, 7, 8}}}", "rank": 5, "sn": 9, "ct": [[1, 1, 1, 1, 1, 1, 1], [4, 2, 0, 1, -1, 0, -1], [5, 1, 1, -1, 1, -1, 0], [6, 0, -2, 0, 0, 0, 1], [5, -1, 1, -1, -1, 1, 0], [4, -2, 0, 1, 1, 0, -1], [1, -1, 1, 1, -1, -1, 1]], "gdc": [1, 247, 1087, 247, 1], "dir": [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 3, 3, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 7, 1, 5, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 3, 3, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]},
"U(6, 9)" : {"name": "U(6, 9): Matroid of rank 6 on 9 elements with circuit-closures\n{6: {{0, 1, 2, 3, 4, 5, 6, 7, 8}}}", "rank": 6, "sn": 9, "ct": [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 3, 1, -1, 2, 0, -1, 1, -1, 0, -1], [9, 3, 1, 3, 0, 0, 0, -1, 1, -1, 0], [10, 2, -2, -2, 1, -1, 1, 0, 0, 0, 1], [5, 1, 1, -3, -1, 1, 2, -1, -1, 0, 0], [16, 0, 0, 0, -2, 0, -2, 0, 0, 1, 0], [10, -2, -2, 2, 1, 1, 1, 0, 0, 0, -1], [5, -1, 1, 3, -1, -1, 2, 1, -1, 0, 0], [9, -3, 1, -3, 0, 0, 0, 1, 1, -1, 0], [5, -3, 1, 1, 2, 0, -1, -1, -1, 0, 1], [1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1]], "gdc": [1, 373, 3859, 3859, 373, 1], "dir": [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 4, 4, 0, 3, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [10, 12, 15, 3, 13, 6, 0, 8, 5, 3, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [10, 12, 15, 3, 13, 6, 0, 8, 5, 3, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 4, 4, 0, 3, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]},
"U(7, 9)" : {"name": "U(7, 9): Matroid of rank 7 on 9 elements with circuit-closures\n{7: {{0, 1, 2, 3, 4, 5, 6, 7, 8}}}", "rank": 7, "sn": 9, "ct": [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [6, 4, 2, 0, 3, 1, -1, 0, 2, 0, -1, 1, -1, 0, -1], [14, 6, 2, 2, 2, 0, 2, -1, 0, 0, 0, -1, 1, -1, 0], [15, 5, -1, -3, 3, -1, -1, 0, 1, -1, 1, 0, 0, 0, 1], [14, 4, 2, 0, -1, 1, -1, 2, -2, 0, 1, -1, -1, 0, 0], [35, 5, -1, 1, -1, -1, -1, -1, -1, 1, -1, 0, 0, 1, 0], [20, 0, -4, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, -1], [21, 1, 1, -3, -3, 1, 1, 0, -1, -1, -1, 1, 1, 0, 0], [21, -1, 1, 3, -3, -1, 1, 0, 1, -1, 1, 1, -1, 0, 0], [35, -5, -1, -1, -1, 1, -1, -1, 1, 1, 1, 0, 0, -1, 0], [15, -5, -1, 3, 3, 1, -1, 0, -1, -1, -1, 0, 0, 0, 1], [14, -4, 2, 0, -1, -1, -1, 2, 2, 0, -1, -1, 1, 0, 0], [14, -6, 2, -2, 2, 0, 2, -1, 0, 0, 0, -1, -1, 1, 0], [6, -4, 2, 0, 3, -1, -1, 0, -2, 0, 1, 1, 1, 0, -1], [1, -1, 1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 1]], "gdc": [1, 457, 8269, 20155, 8269, 457, 1], "dir": [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 5, 5, 0, 4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [15, 20, 26, 6, 25, 12, 0, 15, 12, 6, 0, 0, 5, 6, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [20, 30, 42, 12, 43, 26, 1, 27, 28, 15, 3, 0, 12, 16, 3, 3, 0, 0, 3, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [15, 20, 26, 6, 25, 12, 0, 15, 12, 6, 0, 0, 5, 6, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 5, 5, 0, 4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]},
"U(8, 9)" : {"name": "U(8, 9): Matroid of rank 8 on 9 elements with circuit-closures\n{8: {{0, 1, 2, 3, 4, 5, 6, 7, 8}}}", "rank": 8, "sn": 9, "ct": [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [7, 5, 3, 1, -1, 4, 2, 0, 1, -1, 3, 1, -1, 0, -1, 2, 0, -1, 1, -1, 0, -1], [20, 10, 4, 2, 4, 5, 1, 1, -1, 1, 2, 0, 2, -1, 0, 0, 0, 0, -1, 1, -1, 0], [21, 9, 1, -3, -3, 6, 0, -2, 0, 0, 3, -1, -1, 0, 1, 1, -1, 1, 0, 0, 0, 1], [28, 10, 4, 2, -4, 1, 1, 1, 1, 1, -2, 0, -2, 1, 0, -2, 0, 1, -1, -1, 0, 0], [64, 16, 0, 0, 0, 4, -2, 0, -2, -2, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 1, 0], [35, 5, -5, -3, 3, 5, -1, 1, 2, 2, 1, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, -1], [14, 4, 2, 0, 6, -1, 1, -1, 2, -2, -2, 0, 2, 1, 2, -1, -1, -1, 0, 0, 0, 0], [70, 10, 2, -2, -2, -5, 1, -1, 1, 1, -4, 0, 0, -1, -2, 0, 0, 0, 1, 1, 0, 0], [56, 4, 0, 4, 8, -4, -2, 0, -1, 1, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, 0, 0], [90, 0, -6, 0, -6, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0], [35, -5, -5, 3, 3, 5, 1, 1, 2, -2, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 1], [42, 0, 2, 0, -6, -6, 0, 2, 0, 0, 0, -2, 0, 0, 2, 2, 0, -1, 0, 0, 0, 0], [56, -4, 0, -4, 8, -4, 2, 0, -1, -1, 0, 0, 0, 0, 0, 1, 1, 1, -1, -1, 0, 0], [70, -10, 2, 2, -2, -5, -1, -1, 1, -1, 4, 0, 0, 1, -2, 0, 0, 0, -1, 1, 0, 0], [64, -16, 0, 0, 0, 4, 2, 0, -2, 2, 0, 0, 0, 0, 0, -1, -1, -1, 0, 0, 1, 0], [21, -9, 1, 3, -3, 6, 0, -2, 0, 0, -3, -1, 1, 0, 1, 1, 1, 1, 0, 0, 0, -1], [14, -4, 2, 0, 6, -1, -1, -1, 2, 2, 2, 0, -2, -1, 2, -1, 1, -1, 0, 0, 0, 0], [28, -10, 4, -2, -4, 1, -1, 1, 1, -1, 2, 0, 2, -1, 0, -2, 0, 1, 1, -1, 0, 0], [20, -10, 4, -2, 4, 5, -1, 1, -1, -1, -2, 0, -2, 1, 0, 0, 0, 0, 1, 1, -1, 0], [7, -5, 3, -1, -1, 4, -2, 0, 1, 1, -3, 1, 1, 0, -1, 2, 0, -1, -1, -1, 0, 1], [1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, -1]], "gdc": [1, 493, 12421, 53833, 53833, 12421, 493, 1], "dir": [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 6, 6, 0, 4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [21, 30, 40, 10, 36, 20, 0, 21, 18, 10, 0, 0, 7, 8, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [35, 60, 90, 30, 92, 68, 4, 59, 72, 42, 12, 0, 31, 42, 12, 12, 0, 0, 7, 8, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0], [35, 60, 90, 30, 92, 68, 4, 59, 72, 42, 12, 0, 31, 42, 12, 12, 0, 0, 7, 8, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0], [21, 30, 40, 10, 36, 20, 0, 21, 18, 10, 0, 0, 7, 8, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 6, 6, 0, 4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]},
"U(9, 9)" : {"name": "U(9, 9): Matroid of rank 9 on 9 elements with circuit-closures\n{}", "rank": 9, "sn": 9, "ct": [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [8, 6, 4, 2, 0, 5, 3, 1, -1, 2, 0, -1, 4, 2, 0, 1, -1, 0, 3, 1, -1, 0, -1, 2, 0, -1, 1, -1, 0, -1], [27, 15, 7, 3, 3, 9, 3, 1, 3, 0, 0, 0, 5, 1, 1, -1, 1, -1, 2, 0, 2, -1, 0, 0, 0, 0, -1, 1, -1, 0], [28, 14, 4, -2, -4, 10, 2, -2, -2, 1, -1, 1, 6, 0, -2, 0, 0, 0, 3, -1, -1, 0, 1, 1, -1, 1, 0, 0, 0, 1], [48, 20, 8, 4, 0, 6, 2, 2, -2, 0, 2, 3, 0, 0, 0, 0, 0, 0, -2, 0, -2, 1, 0, -2, 0, 1, -1, -1, 0, 0], [105, 35, 5, -1, 1, 15, -1, -1, -1, -3, -1, -3, 5, -1, 1, -1, -1, 1, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 1, 0], [56, 14, -4, -6, 0, 11, -1, -1, 3, 2, 2, 2, 4, -2, 0, 1, 1, 0, 1, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, -1], [42, 14, 6, 2, 2, 0, 2, 0, 2, 3, -1, -3, -4, 0, 0, 2, 0, 2, -3, -1, 1, 0, 1, -1, -1, -1, 0, 0, 0, 0], [162, 36, 6, 0, -6, 0, 0, 0, 0, 0, 0, 0, -6, 0, -2, 0, 0, -2, -3, 1, 1, 0, -1, 0, 0, 0, 1, 1, 0, 0], [120, 20, 0, 4, 8, 0, -4, 0, 4, -3, -1, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, 0, 0], [189, 21, -11, -3, -3, 9, -3, 1, -3, 0, 0, 0, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 0, 0, 0, 0, 0, -1, 0], [70, 0, -10, 0, 6, 10, 0, 2, 0, 4, 0, -2, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [84, 14, 4, -2, 4, -6, 2, -2, -2, 3, -1, 3, -6, 0, 2, 0, 0, 0, -1, -1, -1, -1, -1, 1, 1, 1, 0, 0, 0, 0], [168, 14, 4, 2, 0, -15, -1, 1, -1, 0, 2, -3, -4, -2, 0, -1, 1, 0, 3, -1, -1, 0, 1, 2, 0, -1, 0, 0, 0, 0], [216, 6, -4, -6, 0, -9, 3, -1, 3, 0, 0, 0, -4, 2, 0, -1, -1, 0, 1, 1, 1, 1, 1, 0, 0, 0, -1, -1, 0, 0], [216, -6, -4, 6, 0, -9, -3, -1, -3, 0, 0, 0, 4, 2, 0, 1, -1, 0, 1, -1, 1, 1, -1, 0, 0, 0, -1, 1, 0, 0], [189, -21, -11, 3, -3, 9, 3, 1, 3, 0, 0, 0, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 1, 0], [56, -14, -4, 6, 0, 11, 1, -1, -3, 2, -2, 2, -4, -2, 0, -1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, -1], [42, 0, 2, 0, -6, -6, 0, 2, 0, 0, 0, 6, 0, -2, 0, 0, -2, 2, 2, 0, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0], [168, -14, 4, -2, 0, -15, 1, 1, 1, 0, -2, -3, 4, -2, 0, 1, 1, 0, 3, 1, -1, 0, -1, -2, 0, 1, 0, 0, 0, 0], [120, -20, 0, -4, 8, 0, 4, 0, -4, -3, 1, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, 1, 0, 0], [84, -14, 4, 2, 4, -6, -2, -2, 2, 3, 1, 3, 6, 0, -2, 0, 0, 0, -1, 1, -1, -1, 1, -1, 1, -1, 0, 0, 0, 0], [162, -36, 6, 0, -6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 2, 0, 0, -2, -3, -1, 1, 0, 1, 0, 0, 0, 1, -1, 0, 0], [105, -35, 5, 1, 1, 15, 1, -1, 1, -3, 1, -3, -5, -1, -1, 1, -1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, -1, 0], [28, -14, 4, 2, -4, 10, -2, -2, 2, 1, 1, 1, -6, 0, 2, 0, 0, 0, 3, 1, -1, 0, -1, -1, -1, -1, 0, 0, 0, 1], [42, -14, 6, -2, 2, 0, -2, 0, -2, 3, 1, -3, 4, 0, 0, -2, 0, 2, -3, 1, 1, 0, -1, 1, -1, 1, 0, 0, 0, 0], [48, -20, 8, -4, 0, 6, -2, 2, 2, 0, -2, 3, 0, 0, 0, 0, 0, 0, -2, 0, -2, 1, 0, 2, 0, -1, -1, 1, 0, 0], [27, -15, 7, -3, 3, 9, -3, 1, -3, 0, 0, 0, -5, 1, -1, 1, 1, -1, 2, 0, 2, -1, 0, 0, 0, 0, -1, -1, 1, 0], [8, -6, 4, -2, 0, 5, -3, 1, 1, 2, 0, -1, -4, 2, 0, -1, -1, 0, 3, -1, -1, 0, 1, -2, 0, 1, 1, 1, 0, -1], [1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1, -1, 1]], "gdc": [1, 502, 14608, 88234, 156190, 88234, 14608, 502, 1], "dir": [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 7, 6, 0, 4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [28, 42, 51, 15, 44, 25, 0, 25, 21, 10, 0, 0, 8, 8, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [56, 105, 150, 60, 150, 120, 10, 94, 120, 64, 24, 0, 50, 62, 21, 18, 0, 0, 10, 11, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0], [70, 140, 210, 90, 220, 190, 20, 143, 201, 110, 51, 1, 87, 114, 48, 42, 3, 0, 20, 28, 2, 11, 3, 0, 0, 1, 0, 0, 0, 0], [56, 105, 150, 60, 150, 120, 10, 94, 120, 64, 24, 0, 50, 62, 21, 18, 0, 0, 10, 11, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0], [28, 42, 51, 15, 44, 25, 0, 25, 21, 10, 0, 0, 8, 8, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 7, 6, 0, 4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]},
"U(2, 10)" : {"name": "U(2, 10): Matroid of rank 2 on 10 elements with circuit-closures\n{2: {{0, 1, 2, 3, 4, 5, 6, 7, 8, 9}}}", "rank": 2, "sn": 10, "ct": [[1, 1], [1, -1]], "gdc": [1, 1], "dir": [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]},
"U(3, 10)" : {"name": "U(3, 10): Matroid of rank 3 on 10 elements with circuit-closures\n{3: {{0, 1, 2, 3, 4, 5, 6, 7, 8, 9}}}", "rank": 3, "sn": 10, "ct": [[1, 1, 1], [2, 0, -1], [1, -1, 1]], "gdc": [1, 46, 1], "dir": [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]},
"U(4, 10)" : {"name": "U(4, 10): Matroid of rank 4 on 10 elements with circuit-closures\n{4: {{0, 1, 2, 3, 4, 5, 6, 7, 8, 9}}}", "rank": 4, "sn": 10, "ct": [[1, 1, 1, 1, 1], [3, 1, -1, 0, -1], [2, 0, 2, -1, 0], [3, -1, -1, 0, 1], [1, -1, 1, 1, -1]], "gdc": [1, 166, 166, 1], "dir": [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]},
"U(5, 10)" : {"name": "U(5, 10): Matroid of rank 5 on 10 elements with circuit-closures\n{5: {{0, 1, 2, 3, 4, 5, 6, 7, 8, 9}}}", "rank": 5, "sn": 10, "ct": [[1, 1, 1, 1, 1, 1, 1], [4, 2, 0, 1, -1, 0, -1], [5, 1, 1, -1, 1, -1, 0], [6, 0, -2, 0, 0, 0, 1], [5, -1, 1, -1, -1, 1, 0], [4, -2, 0, 1, 1, 0, -1], [1, -1, 1, 1, -1, -1, 1]], "gdc": [1, 376, 1756, 376, 1], "dir": [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 3, 3, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 7, 1, 5, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 3, 3, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]},
"U(6, 10)" : {"name": "U(6, 10): Matroid of rank 6 on 10 elements with circuit-closures\n{6: {{0, 1, 2, 3, 4, 5, 6, 7, 8, 9}}}", "rank": 6, "sn": 10, "ct": [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 3, 1, -1, 2, 0, -1, 1, -1, 0, -1], [9, 3, 1, 3, 0, 0, 0, -1, 1, -1, 0], [10, 2, -2, -2, 1, -1, 1, 0, 0, 0, 1], [5, 1, 1, -3, -1, 1, 2, -1, -1, 0, 0], [16, 0, 0, 0, -2, 0, -2, 0, 0, 1, 0], [10, -2, -2, 2, 1, 1, 1, 0, 0, 0, -1], [5, -1, 1, 3, -1, -1, 2, 1, -1, 0, 0], [9, -3, 1, -3, 0, 0, 0, 1, 1, -1, 0], [5, -3, 1, 1, 2, 0, -1, -1, -1, 0, 1], [1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1]], "gdc": [1, 628, 7258, 7258, 628, 1], "dir": [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 4, 4, 0, 3, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [10, 12, 15, 3, 13, 6, 0, 8, 5, 3, 0, 0, 3, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [10, 12, 15, 3, 13, 6, 0, 8, 5, 3, 0, 0, 3, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 4, 4, 0, 3, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]},
"U(7, 10)" : {"name": "U(7, 10): Matroid of rank 7 on 10 elements with circuit-closures\n{7: {{0, 1, 2, 3, 4, 5, 6, 7, 8, 9}}}", "rank": 7, "sn": 10, "ct": [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [6, 4, 2, 0, 3, 1, -1, 0, 2, 0, -1, 1, -1, 0, -1], [14, 6, 2, 2, 2, 0, 2, -1, 0, 0, 0, -1, 1, -1, 0], [15, 5, -1, -3, 3, -1, -1, 0, 1, -1, 1, 0, 0, 0, 1], [14, 4, 2, 0, -1, 1, -1, 2, -2, 0, 1, -1, -1, 0, 0], [35, 5, -1, 1, -1, -1, -1, -1, -1, 1, -1, 0, 0, 1, 0], [20, 0, -4, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, -1], [21, 1, 1, -3, -3, 1, 1, 0, -1, -1, -1, 1, 1, 0, 0], [21, -1, 1, 3, -3, -1, 1, 0, 1, -1, 1, 1, -1, 0, 0], [35, -5, -1, -1, -1, 1, -1, -1, 1, 1, 1, 0, 0, -1, 0], [15, -5, -1, 3, 3, 1, -1, 0, -1, -1, -1, 0, 0, 0, 1], [14, -4, 2, 0, -1, -1, -1, 2, 2, 0, -1, -1, 1, 0, 0], [14, -6, 2, -2, 2, 0, 2, -1, 0, 0, 0, -1, -1, 1, 0], [6, -4, 2, 0, 3, -1, -1, 0, -2, 0, 1, 1, 1, 0, -1], [1, -1, 1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 1]], "gdc": [1, 838, 18220, 46570, 18220, 838, 1], "dir": [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 5, 5, 0, 4, 0, 0, 3, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [15, 20, 26, 6, 25, 12, 0, 19, 12, 6, 0, 0, 7, 8, 6, 0, 0, 0, 0, 3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [20, 30, 42, 12, 43, 26, 1, 33, 28, 15, 3, 0, 12, 18, 16, 3, 3, 0, 0, 7, 1, 3, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [15, 20, 26, 6, 25, 12, 0, 19, 12, 6, 0, 0, 7, 8, 6, 0, 0, 0, 0, 3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 5, 5, 0, 4, 0, 0, 3, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]},
"U(8, 10)" : {"name": "U(8, 10): Matroid of rank 8 on 10 elements with circuit-closures\n{8: {{0, 1, 2, 3, 4, 5, 6, 7, 8, 9}}}", "rank": 8, "sn": 10, "ct": [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [7, 5, 3, 1, -1, 4, 2, 0, 1, -1, 3, 1, -1, 0, -1, 2, 0, -1, 1, -1, 0, -1], [20, 10, 4, 2, 4, 5, 1, 1, -1, 1, 2, 0, 2, -1, 0, 0, 0, 0, -1, 1, -1, 0], [21, 9, 1, -3, -3, 6, 0, -2, 0, 0, 3, -1, -1, 0, 1, 1, -1, 1, 0, 0, 0, 1], [28, 10, 4, 2, -4, 1, 1, 1, 1, 1, -2, 0, -2, 1, 0, -2, 0, 1, -1, -1, 0, 0], [64, 16, 0, 0, 0, 4, -2, 0, -2, -2, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 1, 0], [35, 5, -5, -3, 3, 5, -1, 1, 2, 2, 1, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, -1], [14, 4, 2, 0, 6, -1, 1, -1, 2, -2, -2, 0, 2, 1, 2, -1, -1, -1, 0, 0, 0, 0], [70, 10, 2, -2, -2, -5, 1, -1, 1, 1, -4, 0, 0, -1, -2, 0, 0, 0, 1, 1, 0, 0], [56, 4, 0, 4, 8, -4, -2, 0, -1, 1, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, 0, 0], [90, 0, -6, 0, -6, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0], [35, -5, -5, 3, 3, 5, 1, 1, 2, -2, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 1], [42, 0, 2, 0, -6, -6, 0, 2, 0, 0, 0, -2, 0, 0, 2, 2, 0, -1, 0, 0, 0, 0], [56, -4, 0, -4, 8, -4, 2, 0, -1, -1, 0, 0, 0, 0, 0, 1, 1, 1, -1, -1, 0, 0], [70, -10, 2, 2, -2, -5, -1, -1, 1, -1, 4, 0, 0, 1, -2, 0, 0, 0, -1, 1, 0, 0], [64, -16, 0, 0, 0, 4, 2, 0, -2, 2, 0, 0, 0, 0, 0, -1, -1, -1, 0, 0, 1, 0], [21, -9, 1, 3, -3, 6, 0, -2, 0, 0, -3, -1, 1, 0, 1, 1, 1, 1, 0, 0, 0, -1], [14, -4, 2, 0, 6, -1, -1, -1, 2, 2, 2, 0, -2, -1, 2, -1, 1, -1, 0, 0, 0, 0], [28, -10, 4, -2, -4, 1, -1, 1, 1, -1, 2, 0, 2, -1, 0, -2, 0, 1, 1, -1, 0, 0], [20, -10, 4, -2, 4, 5, -1, 1, -1, -1, -2, 0, -2, 1, 0, 0, 0, 0, 1, 1, -1, 0], [7, -5, 3, -1, -1, 4, -2, 0, 1, 1, -3, 1, 1, 0, -1, 2, 0, -1, -1, -1, 0, 1], [1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, -1]], "gdc": [1, 958, 31990, 155092, 155092, 31990, 958, 1], "dir": [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 6, 6, 0, 5, 0, 0, 3, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [21, 30, 40, 10, 41, 20, 0, 30, 22, 10, 0, 0, 11, 14, 12, 0, 0, 0, 0, 5, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [35, 60, 90, 30, 102, 68, 4, 81, 84, 42, 12, 0, 31, 58, 57, 15, 12, 0, 0, 26, 7, 17, 14, 0, 4, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [35, 60, 90, 30, 102, 68, 4, 81, 84, 42, 12, 0, 31, 58, 57, 15, 12, 0, 0, 26, 7, 17, 14, 0, 4, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [21, 30, 40, 10, 41, 20, 0, 30, 22, 10, 0, 0, 11, 14, 12, 0, 0, 0, 0, 5, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 6, 6, 0, 5, 0, 0, 3, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]},
"U(9, 10)" : {"name": "U(9, 10): Matroid of rank 9 on 10 elements with circuit-closures\n{9: {{0, 1, 2, 3, 4, 5, 6, 7, 8, 9}}}", "rank": 9, "sn": 10, "ct": [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [8, 6, 4, 2, 0, 5, 3, 1, -1, 2, 0, -1, 4, 2, 0, 1, -1, 0, 3, 1, -1, 0, -1, 2, 0, -1, 1, -1, 0, -1], [27, 15, 7, 3, 3, 9, 3, 1, 3, 0, 0, 0, 5, 1, 1, -1, 1, -1, 2, 0, 2, -1, 0, 0, 0, 0, -1, 1, -1, 0], [28, 14, 4, -2, -4, 10, 2, -2, -2, 1, -1, 1, 6, 0, -2, 0, 0, 0, 3, -1, -1, 0, 1, 1, -1, 1, 0, 0, 0, 1], [48, 20, 8, 4, 0, 6, 2, 2, -2, 0, 2, 3, 0, 0, 0, 0, 0, 0, -2, 0, -2, 1, 0, -2, 0, 1, -1, -1, 0, 0], [105, 35, 5, -1, 1, 15, -1, -1, -1, -3, -1, -3, 5, -1, 1, -1, -1, 1, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 1, 0], [56, 14, -4, -6, 0, 11, -1, -1, 3, 2, 2, 2, 4, -2, 0, 1, 1, 0, 1, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, -1], [42, 14, 6, 2, 2, 0, 2, 0, 2, 3, -1, -3, -4, 0, 0, 2, 0, 2, -3, -1, 1, 0, 1, -1, -1, -1, 0, 0, 0, 0], [162, 36, 6, 0, -6, 0, 0, 0, 0, 0, 0, 0, -6, 0, -2, 0, 0, -2, -3, 1, 1, 0, -1, 0, 0, 0, 1, 1, 0, 0], [120, 20, 0, 4, 8, 0, -4, 0, 4, -3, -1, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, -1, 0, 0], [189, 21, -11, -3, -3, 9, -3, 1, -3, 0, 0, 0, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 0, 0, 0, 0, 0, -1, 0], [70, 0, -10, 0, 6, 10, 0, 2, 0, 4, 0, -2, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [84, 14, 4, -2, 4, -6, 2, -2, -2, 3, -1, 3, -6, 0, 2, 0, 0, 0, -1, -1, -1, -1, -1, 1, 1, 1, 0, 0, 0, 0], [168, 14, 4, 2, 0, -15, -1, 1, -1, 0, 2, -3, -4, -2, 0, -1, 1, 0, 3, -1, -1, 0, 1, 2, 0, -1, 0, 0, 0, 0], [216, 6, -4, -6, 0, -9, 3, -1, 3, 0, 0, 0, -4, 2, 0, -1, -1, 0, 1, 1, 1, 1, 1, 0, 0, 0, -1, -1, 0, 0], [216, -6, -4, 6, 0, -9, -3, -1, -3, 0, 0, 0, 4, 2, 0, 1, -1, 0, 1, -1, 1, 1, -1, 0, 0, 0, -1, 1, 0, 0], [189, -21, -11, 3, -3, 9, 3, 1, 3, 0, 0, 0, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 1, 0], [56, -14, -4, 6, 0, 11, 1, -1, -3, 2, -2, 2, -4, -2, 0, -1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, -1], [42, 0, 2, 0, -6, -6, 0, 2, 0, 0, 0, 6, 0, -2, 0, 0, -2, 2, 2, 0, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0], [168, -14, 4, -2, 0, -15, 1, 1, 1, 0, -2, -3, 4, -2, 0, 1, 1, 0, 3, 1, -1, 0, -1, -2, 0, 1, 0, 0, 0, 0], [120, -20, 0, -4, 8, 0, 4, 0, -4, -3, 1, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, 1, 0, 0], [84, -14, 4, 2, 4, -6, -2, -2, 2, 3, 1, 3, 6, 0, -2, 0, 0, 0, -1, 1, -1, -1, 1, -1, 1, -1, 0, 0, 0, 0], [162, -36, 6, 0, -6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 2, 0, 0, -2, -3, -1, 1, 0, 1, 0, 0, 0, 1, -1, 0, 0], [105, -35, 5, 1, 1, 15, 1, -1, 1, -3, 1, -3, -5, -1, -1, 1, -1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, -1, 0], [28, -14, 4, 2, -4, 10, -2, -2, 2, 1, 1, 1, -6, 0, 2, 0, 0, 0, 3, 1, -1, 0, -1, -1, -1, -1, 0, 0, 0, 1], [42, -14, 6, -2, 2, 0, -2, 0, -2, 3, 1, -3, 4, 0, 0, -2, 0, 2, -3, 1, 1, 0, -1, 1, -1, 1, 0, 0, 0, 0], [48, -20, 8, -4, 0, 6, -2, 2, 2, 0, -2, 3, 0, 0, 0, 0, 0, 0, -2, 0, -2, 1, 0, 2, 0, -1, -1, 1, 0, 0], [27, -15, 7, -3, 3, 9, -3, 1, -3, 0, 0, 0, -5, 1, -1, 1, 1, -1, 2, 0, 2, -1, 0, 0, 0, 0, -1, -1, 1, 0], [8, -6, 4, -2, 0, 5, -3, 1, 1, 2, 0, -1, -4, 2, 0, -1, -1, 0, 3, -1, -1, 0, 1, -2, 0, 1, 1, 1, 0, -1], [1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1, -1, 1]], "gdc": [1, 1003, 42865, 320107, 607009, 320107, 42865, 1003, 1], "dir": [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 7, 7, 0, 5, 0, 0, 3, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [28, 42, 57, 15, 55, 30, 0, 39, 30, 15, 0, 0, 14, 18, 15, 0, 0, 0, 0, 6, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [56, 105, 165, 60, 185, 140, 10, 147, 168, 90, 30, 0, 56, 114, 114, 36, 30, 0, 0, 51, 16, 31, 32, 0, 10, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [70, 140, 230, 90, 270, 220, 20, 223, 279, 152, 63, 1, 87, 198, 207, 81, 68, 4, 0, 97, 38, 62, 80, 5, 26, 6, 0, 0, 17, 18, 5, 0, 4, 0, 0, 0, 1, 0, 0, 0, 0, 0], [56, 105, 165, 60, 185, 140, 10, 147, 168, 90, 30, 0, 56, 114, 114, 36, 30, 0, 0, 51, 16, 31, 32, 0, 10, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [28, 42, 57, 15, 55, 30, 0, 39, 30, 15, 0, 0, 14, 18, 15, 0, 0, 0, 0, 6, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 7, 7, 0, 5, 0, 0, 3, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]}
}