New Graph
[F, 15, 2, 11, C, 1D, 24, 1A, 20, 12, 22, B, C, 4, 12, E, 21, F, 19, 4, 3, 14,
1F, D, 18, 11, D, 16, 1E, 3, 1C, 5, 12, 13, 20, 1F], [B, 1F, 1, 23, A, 16,
B, 19, 10, 20, 17, 21, 1C, 20, 22, 22, 6, 1B, 7, 1D, 1, 20, 5, F, 12, 19, F,
2, 1C, 11, B, 8, 9, 1C, 10, C]
π =
[140215272, 338568268, 111146410, 95491946, 259286092, 56429770, 129780568,
154436896, 93769699, 129643046, 419396784, 262219256, 200262136, 35378918,
548089924, 70757836, 112859540, 555440304, 259561136, 155604974, 169284134,
311209948, 209698392, 122804120, 245608240, 77218448, 277720152, 565990126,
106017372, 53008686, 306578472, 308873792, 187539398, 519122272, 47745973,
64890284]
POSSIBLE RANKS
1
x
7701648584
2
x
3850824292
4
x
1925412146
7
x
1100235512
8
x
962706073
14
x
550117756
17
x
453038152
28
x
275058878
34
x
226519076
56
x
137529439
68
x
113259538
119
x
64719736
136
x
56629769
238
x
32359868
476
x
16179934
952
x
8089967
NullSpace of Δ
{5, 6, 8, 10, 11, 12, 13, 15, 19, 21, 27, 28, 30, 31, 33, 36},
{1, 2, 3, 4, 7, 9, 14, 16, 17, 18, 20, 22, 23, 24, 25, 26, 29, 32, 34, 35}
Nullspace of A
[{5, 6, 11, 12, 13, 19, 21, 27, 30},{8, 10, 15, 28, 31, 33, 36}]
`,`[{1, 4, 7, 14, 16, 17, 18, 20, 22, 23, 26},{2, 3, 9, 24, 25, 29, 32, 34, 35}]
1
.
[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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", [F, 15, 2, 11, C, 1D, 24, 1A, 20, 12, 22, B, C, 4, 12, E, 21, F, 19, 4,
3, 14, 1F, D, 18, 11, D, 16, 1E, 3, 1C, 5, 12, 13, 20, 1F]
"B", [B, 1F, 1, 23, A, 16, B, 19, 10, 20, 17, 21, 1C, 20, 22, 22, 6, 1B, 7,
1D, 1, 20, 5, F, 12, 19, F, 2, 1C, 11, B, 8, 9, 1C, 10, C]
"Coloring", {}
Delta Rank with R :
"tailcheck for rank 26"
Delta Rank with B :
"tailcheck for rank 25"
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", [F, 1F, 2, 11, C, 1D, 24, 1A, 20, 12, 22, B, C, 4, 12, E, 21, F, 19, 4,
3, 14, 1F, D, 18, 11, D, 16, 1E, 3, 1C, 5, 12, 13, 20, 1F]
"B", [B, 15, 1, 23, A, 16, B, 19, 10, 20, 17, 21, 1C, 20, 22, 22, 6, 1B, 7,
1D, 1, 20, 5, F, 12, 19, F, 2, 1C, 11, B, 8, 9, 1C, 10, C]
"Coloring", {2}
Delta Rank with R :
"tailcheck for rank 25"
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", [F, 15, 1, 11, C, 1D, 24, 1A, 20, 12, 22, B, C, 4, 12, E, 21, F, 19, 4,
3, 14, 1F, D, 18, 11, D, 16, 1E, 3, 1C, 5, 12, 13, 20, 1F]
"B", [B, 1F, 2, 23, A, 16, B, 19, 10, 20, 17, 21, 1C, 20, 22, 22, 6, 1B, 7,
1D, 1, 20, 5, F, 12, 19, F, 2, 1C, 11, B, 8, 9, 1C, 10, C]
"Coloring", {3}
Delta Rank with R :
"tailcheck for rank 26"
Delta Rank with B :
"tailcheck for rank 25"
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", [F, 15, 2, 23, C, 1D, 24, 1A, 20, 12, 22, B, C, 4, 12, E, 21, F, 19, 4,
3, 14, 1F, D, 18, 11, D, 16, 1E, 3, 1C, 5, 12, 13, 20, 1F]
"B", [B, 1F, 1, 11, A, 16, B, 19, 10, 20, 17, 21, 1C, 20, 22, 22, 6, 1B, 7,
1D, 1, 20, 5, F, 12, 19, F, 2, 1C, 11, B, 8, 9, 1C, 10, C]
"Coloring", {4}
Delta Rank with R :
"tailcheck for rank 27"
Delta Rank with B :
"tailcheck for rank 24"
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", [F, 15, 2, 11, A, 1D, 24, 1A, 20, 12, 22, B, C, 4, 12, E, 21, F, 19, 4,
3, 14, 1F, D, 18, 11, D, 16, 1E, 3, 1C, 5, 12, 13, 20, 1F]
"B", [B, 1F, 1, 23, C, 16, B, 19, 10, 20, 17, 21, 1C, 20, 22, 22, 6, 1B, 7,
1D, 1, 20, 5, F, 12, 19, F, 2, 1C, 11, B, 8, 9, 1C, 10, C]
"Coloring", {5}
Delta Rank with R :
"tailcheck for rank 27"
Delta Rank with B :
"tailcheck for rank 24"
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", [F, 15, 2, 11, C, 16, 24, 1A, 20, 12, 22, B, C, 4, 12, E, 21, F, 19, 4,
3, 14, 1F, D, 18, 11, D, 16, 1E, 3, 1C, 5, 12, 13, 20, 1F]
"B", [B, 1F, 1, 23, A, 1D, B, 19, 10, 20, 17, 21, 1C, 20, 22, 22, 6, 1B, 7,
1D, 1, 20, 5, F, 12, 19, F, 2, 1C, 11, B, 8, 9, 1C, 10, C]
"Coloring", {6}
Delta Rank with R :
"tailcheck for rank 25"
Delta Rank with B :
"tailcheck for rank 24"
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", [F, 15, 2, 11, C, 1D, B, 1A, 20, 12, 22, B, C, 4, 12, E, 21, F, 19, 4, 3,
14, 1F, D, 18, 11, D, 16, 1E, 3, 1C, 5, 12, 13, 20, 1F]
"B", [B, 1F, 1, 23, A, 16, 24, 19, 10, 20, 17, 21, 1C, 20, 22, 22, 6, 1B, 7,
1D, 1, 20, 5, F, 12, 19, F, 2, 1C, 11, B, 8, 9, 1C, 10, C]
"Coloring", {7}
Delta Rank with R :
"tailcheck for rank 25"
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", [F, 15, 2, 11, C, 1D, 24, 19, 20, 12, 22, B, C, 4, 12, E, 21, F, 19, 4,
3, 14, 1F, D, 18, 11, D, 16, 1E, 3, 1C, 5, 12, 13, 20, 1F]
"B", [B, 1F, 1, 23, A, 16, B, 1A, 10, 20, 17, 21, 1C, 20, 22, 22, 6, 1B, 7,
1D, 1, 20, 5, F, 12, 19, F, 2, 1C, 11, B, 8, 9, 1C, 10, C]
"Coloring", {8}
Delta Rank with R :
"tailcheck for rank 25"
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", [F, 15, 2, 11, C, 1D, 24, 1A, 10, 12, 22, B, C, 4, 12, E, 21, F, 19, 4,
3, 14, 1F, D, 18, 11, D, 16, 1E, 3, 1C, 5, 12, 13, 20, 1F]
"B", [B, 1F, 1, 23, A, 16, B, 19, 20, 20, 17, 21, 1C, 20, 22, 22, 6, 1B, 7,
1D, 1, 20, 5, F, 12, 19, F, 2, 1C, 11, B, 8, 9, 1C, 10, C]
"Coloring", {9}
Delta Rank with R :
"tailcheck for rank 27"
Delta Rank with B :
"tailcheck for rank 25"
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", [F, 15, 2, 11, C, 1D, 24, 1A, 20, 20, 22, B, C, 4, 12, E, 21, F, 19, 4,
3, 14, 1F, D, 18, 11, D, 16, 1E, 3, 1C, 5, 12, 13, 20, 1F]
"B", [B, 1F, 1, 23, A, 16, B, 19, 10, 12, 17, 21, 1C, 20, 22, 22, 6, 1B, 7,
1D, 1, 20, 5, F, 12, 19, F, 2, 1C, 11, B, 8, 9, 1C, 10, C]
"Coloring", {10}
Delta Rank with R :
"tailcheck for rank 26"
Delta Rank with B :
"tailcheck for rank 25"
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", [F, 15, 2, 11, C, 1D, 24, 1A, 20, 12, 17, B, C, 4, 12, E, 21, F, 19, 4,
3, 14, 1F, D, 18, 11, D, 16, 1E, 3, 1C, 5, 12, 13, 20, 1F]
"B", [B, 1F, 1, 23, A, 16, B, 19, 10, 20, 22, 21, 1C, 20, 22, 22, 6, 1B, 7,
1D, 1, 20, 5, F, 12, 19, F, 2, 1C, 11, B, 8, 9, 1C, 10, C]
"Coloring", {11}
Delta Rank with R :
"tailcheck for rank 26"
Delta Rank with B :
"tailcheck for rank 24"
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", [F, 15, 2, 11, C, 1D, 24, 1A, 20, 12, 22, 21, C, 4, 12, E, 21, F, 19, 4,
3, 14, 1F, D, 18, 11, D, 16, 1E, 3, 1C, 5, 12, 13, 20, 1F]
"B", [B, 1F, 1, 23, A, 16, B, 19, 10, 20, 17, B, 1C, 20, 22, 22, 6, 1B, 7, 1D,
1, 20, 5, F, 12, 19, F, 2, 1C, 11, B, 8, 9, 1C, 10, C]
"Coloring", {12}
Delta Rank with R :
"tailcheck for rank 25"
Delta Rank with B :
"tailcheck for rank 24"
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", [F, 15, 2, 11, C, 1D, 24, 1A, 20, 12, 22, B, 1C, 4, 12, E, 21, F, 19, 4,
3, 14, 1F, D, 18, 11, D, 16, 1E, 3, 1C, 5, 12, 13, 20, 1F]
"B", [B, 1F, 1, 23, A, 16, B, 19, 10, 20, 17, 21, C, 20, 22, 22, 6, 1B, 7, 1D,
1, 20, 5, F, 12, 19, F, 2, 1C, 11, B, 8, 9, 1C, 10, C]
"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", [F, 15, 2, 11, C, 1D, 24, 1A, 20, 12, 22, B, C, 20, 12, E, 21, F, 19, 4,
3, 14, 1F, D, 18, 11, D, 16, 1E, 3, 1C, 5, 12, 13, 20, 1F]
"B", [B, 1F, 1, 23, A, 16, B, 19, 10, 20, 17, 21, 1C, 4, 22, 22, 6, 1B, 7, 1D,
1, 20, 5, F, 12, 19, F, 2, 1C, 11, B, 8, 9, 1C, 10, C]
"Coloring", {14}
Delta Rank with R :
"tailcheck for rank 26"
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", [F, 15, 2, 11, C, 1D, 24, 1A, 20, 12, 22, B, C, 4, 22, E, 21, F, 19, 4,
3, 14, 1F, D, 18, 11, D, 16, 1E, 3, 1C, 5, 12, 13, 20, 1F]
"B", [B, 1F, 1, 23, A, 16, B, 19, 10, 20, 17, 21, 1C, 20, 12, 22, 6, 1B, 7,
1D, 1, 20, 5, F, 12, 19, F, 2, 1C, 11, B, 8, 9, 1C, 10, C]
"Coloring", {15}
Delta Rank with R :
"tailcheck for rank 26"
Delta Rank with B :
"tailcheck for rank 25"
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", [F, 15, 2, 11, C, 1D, 24, 1A, 20, 12, 22, B, C, 4, 12, 22, 21, F, 19, 4,
3, 14, 1F, D, 18, 11, D, 16, 1E, 3, 1C, 5, 12, 13, 20, 1F]
"B", [B, 1F, 1, 23, A, 16, B, 19, 10, 20, 17, 21, 1C, 20, 22, E, 6, 1B, 7, 1D,
1, 20, 5, F, 12, 19, F, 2, 1C, 11, B, 8, 9, 1C, 10, C]
"Coloring", {16}
Delta Rank with R :
"tailcheck for rank 25"
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", [F, 15, 2, 11, C, 1D, 24, 1A, 20, 12, 22, B, C, 4, 12, E, 6, F, 19, 4, 3,
14, 1F, D, 18, 11, D, 16, 1E, 3, 1C, 5, 12, 13, 20, 1F]
"B", [B, 1F, 1, 23, A, 16, B, 19, 10, 20, 17, 21, 1C, 20, 22, 22, 21, 1B, 7,
1D, 1, 20, 5, F, 12, 19, F, 2, 1C, 11, B, 8, 9, 1C, 10, C]
"Coloring", {17}
Delta Rank with R :
"tailcheck for rank 26"
Delta Rank with B :
"tailcheck for rank 24"
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", [F, 15, 2, 11, C, 1D, 24, 1A, 20, 12, 22, B, C, 4, 12, E, 21, 1B, 19, 4,
3, 14, 1F, D, 18, 11, D, 16, 1E, 3, 1C, 5, 12, 13, 20, 1F]
"B", [B, 1F, 1, 23, A, 16, B, 19, 10, 20, 17, 21, 1C, 20, 22, 22, 6, F, 7, 1D,
1, 20, 5, F, 12, 19, F, 2, 1C, 11, B, 8, 9, 1C, 10, C]
"Coloring", {18}
Delta Rank with R :
"tailcheck for rank 27"
Delta Rank with B :
"tailcheck for rank 24"
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", [F, 15, 2, 11, C, 1D, 24, 1A, 20, 12, 22, B, C, 4, 12, E, 21, F, 7, 4, 3,
14, 1F, D, 18, 11, D, 16, 1E, 3, 1C, 5, 12, 13, 20, 1F]
"B", [B, 1F, 1, 23, A, 16, B, 19, 10, 20, 17, 21, 1C, 20, 22, 22, 6, 1B, 19,
1D, 1, 20, 5, F, 12, 19, F, 2, 1C, 11, B, 8, 9, 1C, 10, C]
"Coloring", {19}
Delta Rank with R :
"tailcheck for rank 26"
Delta Rank with B :
"tailcheck for rank 24"
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", [F, 15, 2, 11, C, 1D, 24, 1A, 20, 12, 22, B, C, 4, 12, E, 21, F, 19, 1D,
3, 14, 1F, D, 18, 11, D, 16, 1E, 3, 1C, 5, 12, 13, 20, 1F]
"B", [B, 1F, 1, 23, A, 16, B, 19, 10, 20, 17, 21, 1C, 20, 22, 22, 6, 1B, 7, 4,
1, 20, 5, F, 12, 19, F, 2, 1C, 11, B, 8, 9, 1C, 10, C]
"Coloring", {20}
Delta Rank with R :
"tailcheck for rank 26"
Delta Rank with B :
"tailcheck for rank 25"
| SUMMARY |
|---|
| Graph Type |
| CC |
|---|
| ν(A) |
|
2
|
|---|
| ν(Δ) |
|
2
|
|---|
| π |
|
[140215272, 338568268, 111146410, 95491946, 259286092, 56429770, 129780568,
154436896, 93769699, 129643046, 419396784, 262219256, 200262136, 35378918,
548089924, 70757836, 112859540, 555440304, 259561136, 155604974, 169284134,
311209948, 209698392, 122804120, 245608240, 77218448, 277720152, 565990126,
106017372, 53008686, 306578472, 308873792, 187539398, 519122272, 47745973,
64890284]
|
|---|
| 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
|