New Graph
[5, D, 16, 6, 17, 1C, 8, 21, 22, 7, 12, A, 6, 18, 6, 4, 21, B, 1B, 19, 21, 5,
1C, 22, D, 24, 1F, 3, 15, 13, 9, 1E, 22, C, 20, C], [7, A, E, 11, 7, 8, 14,
5, 12, F, 7, 1, 1B, 3, C, 1D, 10, 18, 14, 11, 16, 23, C, 6, E, 19, D, 1A, 3,
F, 3, 17, 2, 10, 1C, B]
π =
[443427378, 382220668, 1010665442, 265802492, 994713590, 828714487,
1119718429, 974216458, 79415566, 634537712, 166758178, 886854756, 599588069,
754979324, 353005315, 531604984, 421764968, 123086872, 35736459, 577727444,
132901246, 571783344, 568829713, 439033098, 499293206, 420858968, 317662264,
841717936, 265802492, 71472918, 158831132, 142945836, 764441336, 641445000,
285891672, 210429484]
POSSIBLE RANKS
1
x
17517878236
2
x
8758939118
4
x
4379469559
NullSpace of Δ
{4, 29}, {1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20,
21, 22, 23, 24, 25, 26, 27, 28, 30, 31, 32, 33, 34, 35, 36}
Nullspace of A
[{4},{29}]
`,` [{1, 2, 3, 5, 6, 11, 13, 15, 16, 18, 20, 22, 23, 25, 28},{7, 8, 9, 10, 12,
14, 17, 19, 21, 24, 26, 27, 30, 31, 32, 33, 34, 35, 36}]
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, 1, 1, 1, 1, 1, 1]
"R", [5, D, 16, 6, 17, 1C, 8, 21, 22, 7, 12, A, 6, 18, 6, 4, 21, B, 1B, 19,
21, 5, 1C, 22, D, 24, 1F, 3, 15, 13, 9, 1E, 22, C, 20, C]
"B", [7, A, E, 11, 7, 8, 14, 5, 12, F, 7, 1, 1B, 3, C, 1D, 10, 18, 14, 11, 16,
23, C, 6, E, 19, D, 1A, 3, F, 3, 17, 2, 10, 1C, B]
"Coloring", {}
Delta Rank with R :
"tailcheck for rank 26"
Delta Rank with B :
"tailcheck for rank 26"
2
.
[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, 1, 1, 1, 1, 1]
"R", [5, A, 16, 6, 17, 1C, 8, 21, 22, 7, 12, A, 6, 18, 6, 4, 21, B, 1B, 19,
21, 5, 1C, 22, D, 24, 1F, 3, 15, 13, 9, 1E, 22, C, 20, C]
"B", [7, D, E, 11, 7, 8, 14, 5, 12, F, 7, 1, 1B, 3, C, 1D, 10, 18, 14, 11, 16,
23, C, 6, E, 19, D, 1A, 3, F, 3, 17, 2, 10, 1C, B]
"Coloring", {2}
Delta Rank with R :
"tailcheck for rank 26"
Delta Rank with B :
"tailcheck for rank 25"
3
.
[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, 1, 1, 1, 1, 1]
"R", [5, D, E, 6, 17, 1C, 8, 21, 22, 7, 12, A, 6, 18, 6, 4, 21, B, 1B, 19, 21,
5, 1C, 22, D, 24, 1F, 3, 15, 13, 9, 1E, 22, C, 20, C]
"B", [7, A, 16, 11, 7, 8, 14, 5, 12, F, 7, 1, 1B, 3, C, 1D, 10, 18, 14, 11,
16, 23, C, 6, E, 19, D, 1A, 3, F, 3, 17, 2, 10, 1C, B]
"Coloring", {3}
Delta Rank with R :
"tailcheck for rank 26"
Delta Rank with B :
"tailcheck for rank 26"
4
.
[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, 1, 1, 1, 1, 1]
"R", [5, D, 16, 11, 17, 1C, 8, 21, 22, 7, 12, A, 6, 18, 6, 4, 21, B, 1B, 19,
21, 5, 1C, 22, D, 24, 1F, 3, 15, 13, 9, 1E, 22, C, 20, C]
"B", [7, A, E, 6, 7, 8, 14, 5, 12, F, 7, 1, 1B, 3, C, 1D, 10, 18, 14, 11, 16,
23, C, 6, E, 19, D, 1A, 3, F, 3, 17, 2, 10, 1C, B]
"Coloring", {4}
Delta Rank with R :
"tailcheck for rank 27"
Delta Rank with B :
"tailcheck for rank 26"
5
.
[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, 1, 1, 1, 1, 1]
"R", [5, D, 16, 6, 7, 1C, 8, 21, 22, 7, 12, A, 6, 18, 6, 4, 21, B, 1B, 19, 21,
5, 1C, 22, D, 24, 1F, 3, 15, 13, 9, 1E, 22, C, 20, C]
"B", [7, A, E, 11, 17, 8, 14, 5, 12, F, 7, 1, 1B, 3, C, 1D, 10, 18, 14, 11,
16, 23, C, 6, E, 19, D, 1A, 3, F, 3, 17, 2, 10, 1C, B]
"Coloring", {5}
Delta Rank with R :
"tailcheck for rank 25"
Delta Rank with B :
"tailcheck for rank 26"
6
.
[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, 1, 1, 1, 1, 1]
"R", [5, D, 16, 6, 17, 8, 8, 21, 22, 7, 12, A, 6, 18, 6, 4, 21, B, 1B, 19, 21,
5, 1C, 22, D, 24, 1F, 3, 15, 13, 9, 1E, 22, C, 20, C]
"B", [7, A, E, 11, 7, 1C, 14, 5, 12, F, 7, 1, 1B, 3, C, 1D, 10, 18, 14, 11,
16, 23, C, 6, E, 19, D, 1A, 3, F, 3, 17, 2, 10, 1C, B]
"Coloring", {6}
Delta Rank with R :
"tailcheck for rank 26"
Delta Rank with B :
"tailcheck for rank 25"
7
.
[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, 1, 1, 1, 1, 1]
"R", [5, D, 16, 6, 17, 1C, 14, 21, 22, 7, 12, A, 6, 18, 6, 4, 21, B, 1B, 19,
21, 5, 1C, 22, D, 24, 1F, 3, 15, 13, 9, 1E, 22, C, 20, C]
"B", [7, A, E, 11, 7, 8, 8, 5, 12, F, 7, 1, 1B, 3, C, 1D, 10, 18, 14, 11, 16,
23, C, 6, E, 19, D, 1A, 3, F, 3, 17, 2, 10, 1C, B]
"Coloring", {7}
Delta Rank with R :
"tailcheck for rank 26"
Delta Rank with B :
"tailcheck for rank 26"
8
.
[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, 1, 1, 1, 1, 1]
"R", [5, D, 16, 6, 17, 1C, 8, 5, 22, 7, 12, A, 6, 18, 6, 4, 21, B, 1B, 19, 21,
5, 1C, 22, D, 24, 1F, 3, 15, 13, 9, 1E, 22, C, 20, C]
"B", [7, A, E, 11, 7, 8, 14, 21, 12, F, 7, 1, 1B, 3, C, 1D, 10, 18, 14, 11,
16, 23, C, 6, E, 19, D, 1A, 3, F, 3, 17, 2, 10, 1C, B]
"Coloring", {8}
Delta Rank with R :
"tailcheck for rank 26"
Delta Rank with B :
"tailcheck for rank 26"
9
.
[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, 1, 1, 1, 1, 1]
"R", [5, D, 16, 6, 17, 1C, 8, 21, 12, 7, 12, A, 6, 18, 6, 4, 21, B, 1B, 19,
21, 5, 1C, 22, D, 24, 1F, 3, 15, 13, 9, 1E, 22, C, 20, C]
"B", [7, A, E, 11, 7, 8, 14, 5, 22, F, 7, 1, 1B, 3, C, 1D, 10, 18, 14, 11, 16,
23, C, 6, E, 19, D, 1A, 3, F, 3, 17, 2, 10, 1C, B]
"Coloring", {9}
Delta Rank with R :
"tailcheck for rank 26"
Delta Rank with B :
"tailcheck for rank 26"
10
.
[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, 1, 1, 1, 1, 1]
"R", [5, D, 16, 6, 17, 1C, 8, 21, 22, F, 12, A, 6, 18, 6, 4, 21, B, 1B, 19,
21, 5, 1C, 22, D, 24, 1F, 3, 15, 13, 9, 1E, 22, C, 20, C]
"B", [7, A, E, 11, 7, 8, 14, 5, 12, 7, 7, 1, 1B, 3, C, 1D, 10, 18, 14, 11, 16,
23, C, 6, E, 19, D, 1A, 3, F, 3, 17, 2, 10, 1C, B]
"Coloring", {10}
Delta Rank with R :
"tailcheck for rank 26"
Delta Rank with B :
"tailcheck for rank 26"
11
.
[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, 1, 1, 1, 1, 1]
"R", [5, D, 16, 6, 17, 1C, 8, 21, 22, 7, 7, A, 6, 18, 6, 4, 21, B, 1B, 19, 21,
5, 1C, 22, D, 24, 1F, 3, 15, 13, 9, 1E, 22, C, 20, C]
"B", [7, A, E, 11, 7, 8, 14, 5, 12, F, 12, 1, 1B, 3, C, 1D, 10, 18, 14, 11,
16, 23, C, 6, E, 19, D, 1A, 3, F, 3, 17, 2, 10, 1C, B]
"Coloring", {11}
Delta Rank with R :
"tailcheck for rank 25"
Delta Rank with B :
"tailcheck for rank 26"
12
.
[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, 1, 1, 1, 1, 1]
"R", [5, D, 16, 6, 17, 1C, 8, 21, 22, 7, 12, 1, 6, 18, 6, 4, 21, B, 1B, 19,
21, 5, 1C, 22, D, 24, 1F, 3, 15, 13, 9, 1E, 22, C, 20, C]
"B", [7, A, E, 11, 7, 8, 14, 5, 12, F, 7, A, 1B, 3, C, 1D, 10, 18, 14, 11, 16,
23, C, 6, E, 19, D, 1A, 3, F, 3, 17, 2, 10, 1C, B]
"Coloring", {12}
Delta Rank with R :
"tailcheck for rank 26"
Delta Rank with B :
"tailcheck for rank 25"
13
.
[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, 1, 1, 1, 1, 1]
"R", [5, D, 16, 6, 17, 1C, 8, 21, 22, 7, 12, A, 1B, 18, 6, 4, 21, B, 1B, 19,
21, 5, 1C, 22, D, 24, 1F, 3, 15, 13, 9, 1E, 22, C, 20, C]
"B", [7, A, E, 11, 7, 8, 14, 5, 12, F, 7, 1, 6, 3, C, 1D, 10, 18, 14, 11, 16,
23, C, 6, E, 19, D, 1A, 3, F, 3, 17, 2, 10, 1C, B]
"Coloring", {13}
Delta Rank with R :
"tailcheck for rank 26"
Delta Rank with B :
"tailcheck for rank 25"
14
.
[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, 1, 1, 1, 1, 1]
"R", [5, D, 16, 6, 17, 1C, 8, 21, 22, 7, 12, A, 6, 3, 6, 4, 21, B, 1B, 19, 21,
5, 1C, 22, D, 24, 1F, 3, 15, 13, 9, 1E, 22, C, 20, C]
"B", [7, A, E, 11, 7, 8, 14, 5, 12, F, 7, 1, 1B, 18, C, 1D, 10, 18, 14, 11,
16, 23, C, 6, E, 19, D, 1A, 3, F, 3, 17, 2, 10, 1C, B]
"Coloring", {14}
Delta Rank with R :
"tailcheck for rank 25"
Delta Rank with B :
"tailcheck for rank 26"
15
.
[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, 1, 1, 1, 1, 1]
"R", [5, D, 16, 6, 17, 1C, 8, 21, 22, 7, 12, A, 6, 18, C, 4, 21, B, 1B, 19,
21, 5, 1C, 22, D, 24, 1F, 3, 15, 13, 9, 1E, 22, C, 20, C]
"B", [7, A, E, 11, 7, 8, 14, 5, 12, F, 7, 1, 1B, 3, 6, 1D, 10, 18, 14, 11, 16,
23, C, 6, E, 19, D, 1A, 3, F, 3, 17, 2, 10, 1C, B]
"Coloring", {15}
Delta Rank with R :
"tailcheck for rank 26"
Delta Rank with B :
"tailcheck for rank 26"
16
.
[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, 1, 1, 1, 1, 1]
"R", [5, D, 16, 6, 17, 1C, 8, 21, 22, 7, 12, A, 6, 18, 6, 1D, 21, B, 1B, 19,
21, 5, 1C, 22, D, 24, 1F, 3, 15, 13, 9, 1E, 22, C, 20, C]
"B", [7, A, E, 11, 7, 8, 14, 5, 12, F, 7, 1, 1B, 3, C, 4, 10, 18, 14, 11, 16,
23, C, 6, E, 19, D, 1A, 3, F, 3, 17, 2, 10, 1C, B]
"Coloring", {16}
Delta Rank with R :
"tailcheck for rank 26"
Delta Rank with B :
"tailcheck for rank 26"
17
.
[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, 1, 1, 1, 1, 1]
"R", [5, D, 16, 6, 17, 1C, 8, 21, 22, 7, 12, A, 6, 18, 6, 4, 10, B, 1B, 19,
21, 5, 1C, 22, D, 24, 1F, 3, 15, 13, 9, 1E, 22, C, 20, C]
"B", [7, A, E, 11, 7, 8, 14, 5, 12, F, 7, 1, 1B, 3, C, 1D, 21, 18, 14, 11, 16,
23, C, 6, E, 19, D, 1A, 3, F, 3, 17, 2, 10, 1C, B]
"Coloring", {17}
Delta Rank with R :
"tailcheck for rank 27"
Delta Rank with B :
"tailcheck for rank 27"
18
.
[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, 1, 1, 1, 1, 1]
"R", [5, D, 16, 6, 17, 1C, 8, 21, 22, 7, 12, A, 6, 18, 6, 4, 21, 18, 1B, 19,
21, 5, 1C, 22, D, 24, 1F, 3, 15, 13, 9, 1E, 22, C, 20, C]
"B", [7, A, E, 11, 7, 8, 14, 5, 12, F, 7, 1, 1B, 3, C, 1D, 10, B, 14, 11, 16,
23, C, 6, E, 19, D, 1A, 3, F, 3, 17, 2, 10, 1C, B]
"Coloring", {18}
Delta Rank with R :
"tailcheck for rank 25"
Delta Rank with B :
"tailcheck for rank 25"
19
.
[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, 1, 1, 1, 1, 1]
"R", [5, D, 16, 6, 17, 1C, 8, 21, 22, 7, 12, A, 6, 18, 6, 4, 21, B, 14, 19,
21, 5, 1C, 22, D, 24, 1F, 3, 15, 13, 9, 1E, 22, C, 20, C]
"B", [7, A, E, 11, 7, 8, 14, 5, 12, F, 7, 1, 1B, 3, C, 1D, 10, 18, 1B, 11, 16,
23, C, 6, E, 19, D, 1A, 3, F, 3, 17, 2, 10, 1C, B]
"Coloring", {19}
Delta Rank with R :
"tailcheck for rank 26"
Delta Rank with B :
"tailcheck for rank 26"
20
.
[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, 1, 1, 1, 1, 1]
"R", [5, D, 16, 6, 17, 1C, 8, 21, 22, 7, 12, A, 6, 18, 6, 4, 21, B, 1B, 11,
21, 5, 1C, 22, D, 24, 1F, 3, 15, 13, 9, 1E, 22, C, 20, C]
"B", [7, A, E, 11, 7, 8, 14, 5, 12, F, 7, 1, 1B, 3, C, 1D, 10, 18, 14, 19, 16,
23, C, 6, E, 19, D, 1A, 3, F, 3, 17, 2, 10, 1C, B]
"Coloring", {20}
Delta Rank with R :
"tailcheck for rank 26"
Delta Rank with B :
"tailcheck for rank 26"
| SUMMARY |
|---|
| Graph Type |
| CC |
|---|
| ν(A) |
|
2
|
|---|
| ν(Δ) |
|
2
|
|---|
| π |
|
[443427378, 382220668, 1010665442, 265802492, 994713590, 828714487,
1119718429, 974216458, 79415566, 634537712, 166758178, 886854756, 599588069,
754979324, 353005315, 531604984, 421764968, 123086872, 35736459, 577727444,
132901246, 571783344, 568829713, 439033098, 499293206, 420858968, 317662264,
841717936, 265802492, 71472918, 158831132, 142945836, 764441336, 641445000,
285891672, 210429484]
|
|---|
| Dbly Stoch |
| false |
|---|
| SANDWICH |
| Total
0
|
|---|
| No . | Coloring | Rank |
|---|
| RT GROUPS |
| Total
0
|
|---|
| No . | Coloring | Rank | Solv |
|---|
| RANK'D | SYNC'D NOT RANK'D |
τ-RANK'D | NOT SYNC'D |
Total Runs | 2n-1 |
|---|
|
0
|
0
|
0
|
0
|
20
|
34359738368
|