New Graph
[15, 1D, 1D, E, 17, 13, 10, 1C, 1E, 12, 1B, 1D, 1B, 1D, 21, 2, E, 22, 1F, 12,
11, 11, F, 10, 1A, 8, 6, 22, 2, 18, 12, 1E, B, 17, 9, 23], [22, 21, A, 1C,
7, 10, 6, 24, 17, 4, 20, D, 1E, 1B, 4, F, A, 1E, 3, 16, 21, 1A, 23, 5, C,
1E, 1, 10, 5, 8, 24, 14, 16, 10, 1A, 19]
π =
[533699912, 2045231035, 211202573, 1204102227, 1244441520, 844810292,
622220760, 1468225139, 585109547, 471085637, 1062299952, 209928464,
104964232, 967535464, 1937118817, 2373513302, 730968701, 473931599,
422405146, 265574988, 266849956, 1195087446, 1500724332, 771934272,
419856928, 1392581734, 1067399824, 1336163683, 1716948768, 1543868544,
211202573, 531149976, 2124599904, 1171897597, 1170219094, 839713856]
POSSIBLE RANKS
1
x
35038567794
2
x
17519283897
3
x
11679522598
6
x
5839761299
6451
x
5431494
12902
x
2715747
19353
x
1810498
38706
x
905249
NullSpace of Δ
{3, 31}, {1, 2, 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, 32, 33, 34, 35, 36}
Nullspace of A
[{1, 2, 4, 7, 9, 12, 14, 16, 17, 21, 22, 24, 29, 30, 32, 35, 36},{5, 6, 8,
10, 11, 13, 15, 18, 19, 20, 23, 25, 26, 27, 28, 33, 34}]
`,` [{3},{31}]
1
.
[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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", [15, 1D, 1D, E, 17, 13, 10, 1C, 1E, 12, 1B, 1D, 1B, 1D, 21, 2, E, 22, 1F,
12, 11, 11, F, 10, 1A, 8, 6, 22, 2, 18, 12, 1E, B, 17, 9, 23]
"B", [22, 21, A, 1C, 7, 10, 6, 24, 17, 4, 20, D, 1E, 1B, 4, F, A, 1E, 3, 16,
21, 1A, 23, 5, C, 1E, 1, 10, 5, 8, 24, 14, 16, 10, 1A, 19]
"Coloring", {}
Delta Rank with R :
"tailcheck for rank 23"
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", [15, 21, 1D, E, 17, 13, 10, 1C, 1E, 12, 1B, 1D, 1B, 1D, 21, 2, E, 22, 1F,
12, 11, 11, F, 10, 1A, 8, 6, 22, 2, 18, 12, 1E, B, 17, 9, 23]
"B", [22, 1D, A, 1C, 7, 10, 6, 24, 17, 4, 20, D, 1E, 1B, 4, F, A, 1E, 3, 16,
21, 1A, 23, 5, C, 1E, 1, 10, 5, 8, 24, 14, 16, 10, 1A, 19]
"Coloring", {2}
Delta Rank with R :
"tailcheck for rank 23"
Delta Rank with B :
"tailcheck for rank 26"
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", [15, 1D, A, E, 17, 13, 10, 1C, 1E, 12, 1B, 1D, 1B, 1D, 21, 2, E, 22, 1F,
12, 11, 11, F, 10, 1A, 8, 6, 22, 2, 18, 12, 1E, B, 17, 9, 23]
"B", [22, 21, 1D, 1C, 7, 10, 6, 24, 17, 4, 20, D, 1E, 1B, 4, F, A, 1E, 3, 16,
21, 1A, 23, 5, C, 1E, 1, 10, 5, 8, 24, 14, 16, 10, 1A, 19]
"Coloring", {3}
Delta Rank with R :
"tailcheck for rank 24"
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", [15, 1D, 1D, 1C, 17, 13, 10, 1C, 1E, 12, 1B, 1D, 1B, 1D, 21, 2, E, 22,
1F, 12, 11, 11, F, 10, 1A, 8, 6, 22, 2, 18, 12, 1E, B, 17, 9, 23]
"B", [22, 21, A, E, 7, 10, 6, 24, 17, 4, 20, D, 1E, 1B, 4, F, A, 1E, 3, 16,
21, 1A, 23, 5, C, 1E, 1, 10, 5, 8, 24, 14, 16, 10, 1A, 19]
"Coloring", {4}
Delta Rank with R :
"tailcheck for rank 23"
Delta Rank with B :
"tailcheck for rank 25"
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", [15, 1D, 1D, E, 7, 13, 10, 1C, 1E, 12, 1B, 1D, 1B, 1D, 21, 2, E, 22, 1F,
12, 11, 11, F, 10, 1A, 8, 6, 22, 2, 18, 12, 1E, B, 17, 9, 23]
"B", [22, 21, A, 1C, 17, 10, 6, 24, 17, 4, 20, D, 1E, 1B, 4, F, A, 1E, 3, 16,
21, 1A, 23, 5, C, 1E, 1, 10, 5, 8, 24, 14, 16, 10, 1A, 19]
"Coloring", {5}
Delta Rank with R :
"tailcheck for rank 24"
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", [15, 1D, 1D, E, 17, 10, 10, 1C, 1E, 12, 1B, 1D, 1B, 1D, 21, 2, E, 22, 1F,
12, 11, 11, F, 10, 1A, 8, 6, 22, 2, 18, 12, 1E, B, 17, 9, 23]
"B", [22, 21, A, 1C, 7, 13, 6, 24, 17, 4, 20, D, 1E, 1B, 4, F, A, 1E, 3, 16,
21, 1A, 23, 5, C, 1E, 1, 10, 5, 8, 24, 14, 16, 10, 1A, 19]
"Coloring", {6}
Delta Rank with R :
"tailcheck for rank 22"
Delta Rank with B :
"tailcheck for rank 26"
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", [15, 1D, 1D, E, 17, 13, 6, 1C, 1E, 12, 1B, 1D, 1B, 1D, 21, 2, E, 22, 1F,
12, 11, 11, F, 10, 1A, 8, 6, 22, 2, 18, 12, 1E, B, 17, 9, 23]
"B", [22, 21, A, 1C, 7, 10, 10, 24, 17, 4, 20, D, 1E, 1B, 4, F, A, 1E, 3, 16,
21, 1A, 23, 5, C, 1E, 1, 10, 5, 8, 24, 14, 16, 10, 1A, 19]
"Coloring", {7}
Delta Rank with R :
"tailcheck for rank 23"
Delta Rank with B :
"tailcheck for rank 24"
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", [15, 1D, 1D, E, 17, 13, 10, 24, 1E, 12, 1B, 1D, 1B, 1D, 21, 2, E, 22, 1F,
12, 11, 11, F, 10, 1A, 8, 6, 22, 2, 18, 12, 1E, B, 17, 9, 23]
"B", [22, 21, A, 1C, 7, 10, 6, 1C, 17, 4, 20, D, 1E, 1B, 4, F, A, 1E, 3, 16,
21, 1A, 23, 5, C, 1E, 1, 10, 5, 8, 24, 14, 16, 10, 1A, 19]
"Coloring", {8}
Delta Rank with R :
"tailcheck for rank 23"
Delta Rank with B :
"tailcheck for rank 25"
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", [15, 1D, 1D, E, 17, 13, 10, 1C, 17, 12, 1B, 1D, 1B, 1D, 21, 2, E, 22, 1F,
12, 11, 11, F, 10, 1A, 8, 6, 22, 2, 18, 12, 1E, B, 17, 9, 23]
"B", [22, 21, A, 1C, 7, 10, 6, 24, 1E, 4, 20, D, 1E, 1B, 4, F, A, 1E, 3, 16,
21, 1A, 23, 5, C, 1E, 1, 10, 5, 8, 24, 14, 16, 10, 1A, 19]
"Coloring", {9}
Delta Rank with R :
"tailcheck for rank 23"
Delta Rank with B :
"tailcheck for rank 24"
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", [15, 1D, 1D, E, 17, 13, 10, 1C, 1E, 4, 1B, 1D, 1B, 1D, 21, 2, E, 22, 1F,
12, 11, 11, F, 10, 1A, 8, 6, 22, 2, 18, 12, 1E, B, 17, 9, 23]
"B", [22, 21, A, 1C, 7, 10, 6, 24, 17, 12, 20, D, 1E, 1B, 4, F, A, 1E, 3, 16,
21, 1A, 23, 5, C, 1E, 1, 10, 5, 8, 24, 14, 16, 10, 1A, 19]
"Coloring", {10}
Delta Rank with R :
"tailcheck for rank 24"
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", [15, 1D, 1D, E, 17, 13, 10, 1C, 1E, 12, 20, 1D, 1B, 1D, 21, 2, E, 22, 1F,
12, 11, 11, F, 10, 1A, 8, 6, 22, 2, 18, 12, 1E, B, 17, 9, 23]
"B", [22, 21, A, 1C, 7, 10, 6, 24, 17, 4, 1B, D, 1E, 1B, 4, F, A, 1E, 3, 16,
21, 1A, 23, 5, C, 1E, 1, 10, 5, 8, 24, 14, 16, 10, 1A, 19]
"Coloring", {11}
Delta Rank with R :
"tailcheck for rank 24"
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", [15, 1D, 1D, E, 17, 13, 10, 1C, 1E, 12, 1B, D, 1B, 1D, 21, 2, E, 22, 1F,
12, 11, 11, F, 10, 1A, 8, 6, 22, 2, 18, 12, 1E, B, 17, 9, 23]
"B", [22, 21, A, 1C, 7, 10, 6, 24, 17, 4, 20, 1D, 1E, 1B, 4, F, A, 1E, 3, 16,
21, 1A, 23, 5, C, 1E, 1, 10, 5, 8, 24, 14, 16, 10, 1A, 19]
"Coloring", {12}
Delta Rank with R :
"tailcheck for rank 24"
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", [15, 1D, 1D, E, 17, 13, 10, 1C, 1E, 12, 1B, 1D, 1E, 1D, 21, 2, E, 22, 1F,
12, 11, 11, F, 10, 1A, 8, 6, 22, 2, 18, 12, 1E, B, 17, 9, 23]
"B", [22, 21, A, 1C, 7, 10, 6, 24, 17, 4, 20, D, 1B, 1B, 4, F, A, 1E, 3, 16,
21, 1A, 23, 5, C, 1E, 1, 10, 5, 8, 24, 14, 16, 10, 1A, 19]
"Coloring", {13}
Delta Rank with R :
"tailcheck for rank 23"
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", [15, 1D, 1D, E, 17, 13, 10, 1C, 1E, 12, 1B, 1D, 1B, 1B, 21, 2, E, 22, 1F,
12, 11, 11, F, 10, 1A, 8, 6, 22, 2, 18, 12, 1E, B, 17, 9, 23]
"B", [22, 21, A, 1C, 7, 10, 6, 24, 17, 4, 20, D, 1E, 1D, 4, F, A, 1E, 3, 16,
21, 1A, 23, 5, C, 1E, 1, 10, 5, 8, 24, 14, 16, 10, 1A, 19]
"Coloring", {14}
Delta Rank with R :
"tailcheck for rank 23"
Delta Rank with B :
"tailcheck for rank 25"
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", [15, 1D, 1D, E, 17, 13, 10, 1C, 1E, 12, 1B, 1D, 1B, 1D, 4, 2, E, 22, 1F,
12, 11, 11, F, 10, 1A, 8, 6, 22, 2, 18, 12, 1E, B, 17, 9, 23]
"B", [22, 21, A, 1C, 7, 10, 6, 24, 17, 4, 20, D, 1E, 1B, 21, F, A, 1E, 3, 16,
21, 1A, 23, 5, C, 1E, 1, 10, 5, 8, 24, 14, 16, 10, 1A, 19]
"Coloring", {15}
Delta Rank with R :
"tailcheck for rank 23"
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", [15, 1D, 1D, E, 17, 13, 10, 1C, 1E, 12, 1B, 1D, 1B, 1D, 21, F, E, 22, 1F,
12, 11, 11, F, 10, 1A, 8, 6, 22, 2, 18, 12, 1E, B, 17, 9, 23]
"B", [22, 21, A, 1C, 7, 10, 6, 24, 17, 4, 20, D, 1E, 1B, 4, 2, A, 1E, 3, 16,
21, 1A, 23, 5, C, 1E, 1, 10, 5, 8, 24, 14, 16, 10, 1A, 19]
"Coloring", {16}
Delta Rank with R :
"tailcheck for rank 23"
Delta Rank with B :
"tailcheck for rank 25"
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", [15, 1D, 1D, E, 17, 13, 10, 1C, 1E, 12, 1B, 1D, 1B, 1D, 21, 2, A, 22, 1F,
12, 11, 11, F, 10, 1A, 8, 6, 22, 2, 18, 12, 1E, B, 17, 9, 23]
"B", [22, 21, A, 1C, 7, 10, 6, 24, 17, 4, 20, D, 1E, 1B, 4, F, E, 1E, 3, 16,
21, 1A, 23, 5, C, 1E, 1, 10, 5, 8, 24, 14, 16, 10, 1A, 19]
"Coloring", {17}
Delta Rank with R :
"tailcheck for rank 24"
Delta Rank with B :
"tailcheck for rank 26"
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", [15, 1D, 1D, E, 17, 13, 10, 1C, 1E, 12, 1B, 1D, 1B, 1D, 21, 2, E, 1E, 1F,
12, 11, 11, F, 10, 1A, 8, 6, 22, 2, 18, 12, 1E, B, 17, 9, 23]
"B", [22, 21, A, 1C, 7, 10, 6, 24, 17, 4, 20, D, 1E, 1B, 4, F, A, 22, 3, 16,
21, 1A, 23, 5, C, 1E, 1, 10, 5, 8, 24, 14, 16, 10, 1A, 19]
"Coloring", {18}
Delta Rank with R :
"tailcheck for rank 23"
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", [15, 1D, 1D, E, 17, 13, 10, 1C, 1E, 12, 1B, 1D, 1B, 1D, 21, 2, E, 22, 3,
12, 11, 11, F, 10, 1A, 8, 6, 22, 2, 18, 12, 1E, B, 17, 9, 23]
"B", [22, 21, A, 1C, 7, 10, 6, 24, 17, 4, 20, D, 1E, 1B, 4, F, A, 1E, 1F, 16,
21, 1A, 23, 5, C, 1E, 1, 10, 5, 8, 24, 14, 16, 10, 1A, 19]
"Coloring", {19}
Delta Rank with R :
"tailcheck for rank 23"
Delta Rank with B :
"tailcheck for rank 25"
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", [15, 1D, 1D, E, 17, 13, 10, 1C, 1E, 12, 1B, 1D, 1B, 1D, 21, 2, E, 22, 1F,
16, 11, 11, F, 10, 1A, 8, 6, 22, 2, 18, 12, 1E, B, 17, 9, 23]
"B", [22, 21, A, 1C, 7, 10, 6, 24, 17, 4, 20, D, 1E, 1B, 4, F, A, 1E, 3, 12,
21, 1A, 23, 5, C, 1E, 1, 10, 5, 8, 24, 14, 16, 10, 1A, 19]
"Coloring", {20}
Delta Rank with R :
"tailcheck for rank 24"
Delta Rank with B :
"tailcheck for rank 26"
| SUMMARY |
|---|
| Graph Type |
| CC |
|---|
| ν(A) |
|
2
|
|---|
| ν(Δ) |
|
2
|
|---|
| π |
|
[533699912, 2045231035, 211202573, 1204102227, 1244441520, 844810292,
622220760, 1468225139, 585109547, 471085637, 1062299952, 209928464,
104964232, 967535464, 1937118817, 2373513302, 730968701, 473931599,
422405146, 265574988, 266849956, 1195087446, 1500724332, 771934272,
419856928, 1392581734, 1067399824, 1336163683, 1716948768, 1543868544,
211202573, 531149976, 2124599904, 1171897597, 1170219094, 839713856]
|
|---|
| 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
|