New Graph
[1B, 20, F, 1F, 1, 12, 1C, 6, 1B, 3, 14, 14, 14, 16, 15, 21, 24, 17, 19, 8,
1D, 13, 1C, 6, C, 1D, 15, 6, 1E, 23, 2, 23, 5, 1A, A, D], [E, 13, 16, 24, 7,
1, 23, 9, 8, B, 3, 23, 21, 2, 18, 11, 22, 1E, 1E, 4, 18, 10, F, 23, 1, 24,
D, 15, 7, 24, 16, 6, 14, 14, 17, 2]
π =
[62867226, 49476208, 34790163, 30037056, 16820924, 86389188, 26558209,
40049408, 20024704, 46386884, 23193442, 11262170, 46973120, 31433613,
51387172, 20310576, 10155288, 43194594, 45048680, 60074112, 70052166,
40621152, 67984181, 60719669, 22524340, 2538822, 41445965, 47271195,
36295494, 62269384, 15018528, 24738104, 33641848, 5077644, 92773768, 52500275
]
POSSIBLE RANKS
1
x
1431905272
2
x
715952636
4
x
357976318
7
x
204557896
8
x
178988159
14
x
102278948
28
x
51139474
56
x
25569737
NullSpace of Δ
{16, 19, 32}, {4, 8, 14, 27}, {1, 7, 10, 12, 18, 23, 25, 30}, {2, 3, 5, 6, 9,
11, 13, 15, 17, 20, 21, 22, 24, 26, 28, 29, 31, 33, 34, 35, 36}
Nullspace of A
[{16, 32},{19}]
`,` [{6, 11, 13, 17, 20, 22, 24, 28, 36},{2, 3, 5, 9, 15, 21, 26, 29, 31, 33,
34, 35}]
`,` [{7, 12, 18, 23, 25},{1, 10, 30}]
`,` [{8, 14},{4, 27}]
1
.
[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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", [1B, 20, F, 1F, 1, 12, 1C, 6, 1B, 3, 14, 14, 14, 16, 15, 21, 24, 17, 19,
8, 1D, 13, 1C, 6, C, 1D, 15, 6, 1E, 23, 2, 23, 5, 1A, A, D]
"B", [E, 13, 16, 24, 7, 1, 23, 9, 8, B, 3, 23, 21, 2, 18, 11, 22, 1E, 1E, 4,
18, 10, F, 23, 1, 24, D, 15, 7, 24, 16, 6, 14, 14, 17, 2]
"Coloring", {}
Delta Rank with R :
"tailcheck for rank 27"
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", [1B, 13, F, 1F, 1, 12, 1C, 6, 1B, 3, 14, 14, 14, 16, 15, 21, 24, 17, 19,
8, 1D, 13, 1C, 6, C, 1D, 15, 6, 1E, 23, 2, 23, 5, 1A, A, D]
"B", [E, 20, 16, 24, 7, 1, 23, 9, 8, B, 3, 23, 21, 2, 18, 11, 22, 1E, 1E, 4,
18, 10, F, 23, 1, 24, D, 15, 7, 24, 16, 6, 14, 14, 17, 2]
"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", [1B, 20, 16, 1F, 1, 12, 1C, 6, 1B, 3, 14, 14, 14, 16, 15, 21, 24, 17, 19,
8, 1D, 13, 1C, 6, C, 1D, 15, 6, 1E, 23, 2, 23, 5, 1A, A, D]
"B", [E, 13, F, 24, 7, 1, 23, 9, 8, B, 3, 23, 21, 2, 18, 11, 22, 1E, 1E, 4,
18, 10, F, 23, 1, 24, D, 15, 7, 24, 16, 6, 14, 14, 17, 2]
"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", [1B, 20, F, 24, 1, 12, 1C, 6, 1B, 3, 14, 14, 14, 16, 15, 21, 24, 17, 19,
8, 1D, 13, 1C, 6, C, 1D, 15, 6, 1E, 23, 2, 23, 5, 1A, A, D]
"B", [E, 13, 16, 1F, 7, 1, 23, 9, 8, B, 3, 23, 21, 2, 18, 11, 22, 1E, 1E, 4,
18, 10, F, 23, 1, 24, D, 15, 7, 24, 16, 6, 14, 14, 17, 2]
"Coloring", {4}
Delta Rank with R :
"tailcheck for rank 26"
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", [1B, 20, F, 1F, 7, 12, 1C, 6, 1B, 3, 14, 14, 14, 16, 15, 21, 24, 17, 19,
8, 1D, 13, 1C, 6, C, 1D, 15, 6, 1E, 23, 2, 23, 5, 1A, A, D]
"B", [E, 13, 16, 24, 1, 1, 23, 9, 8, B, 3, 23, 21, 2, 18, 11, 22, 1E, 1E, 4,
18, 10, F, 23, 1, 24, D, 15, 7, 24, 16, 6, 14, 14, 17, 2]
"Coloring", {5}
Delta Rank with R :
"tailcheck for rank 27"
Delta Rank with B :
"tailcheck for rank 25"
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", [1B, 20, F, 1F, 1, 1, 1C, 6, 1B, 3, 14, 14, 14, 16, 15, 21, 24, 17, 19,
8, 1D, 13, 1C, 6, C, 1D, 15, 6, 1E, 23, 2, 23, 5, 1A, A, D]
"B", [E, 13, 16, 24, 7, 12, 23, 9, 8, B, 3, 23, 21, 2, 18, 11, 22, 1E, 1E, 4,
18, 10, F, 23, 1, 24, D, 15, 7, 24, 16, 6, 14, 14, 17, 2]
"Coloring", {6}
Delta Rank with R :
"tailcheck for rank 26"
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", [1B, 20, F, 1F, 1, 12, 23, 6, 1B, 3, 14, 14, 14, 16, 15, 21, 24, 17, 19,
8, 1D, 13, 1C, 6, C, 1D, 15, 6, 1E, 23, 2, 23, 5, 1A, A, D]
"B", [E, 13, 16, 24, 7, 1, 1C, 9, 8, B, 3, 23, 21, 2, 18, 11, 22, 1E, 1E, 4,
18, 10, F, 23, 1, 24, D, 15, 7, 24, 16, 6, 14, 14, 17, 2]
"Coloring", {7}
Delta Rank with R :
"tailcheck for rank 27"
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", [1B, 20, F, 1F, 1, 12, 1C, 9, 1B, 3, 14, 14, 14, 16, 15, 21, 24, 17, 19,
8, 1D, 13, 1C, 6, C, 1D, 15, 6, 1E, 23, 2, 23, 5, 1A, A, D]
"B", [E, 13, 16, 24, 7, 1, 23, 6, 8, B, 3, 23, 21, 2, 18, 11, 22, 1E, 1E, 4,
18, 10, F, 23, 1, 24, D, 15, 7, 24, 16, 6, 14, 14, 17, 2]
"Coloring", {8}
Delta Rank with R :
"tailcheck for rank 28"
Delta Rank with B :
"tailcheck for rank 24"
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", [1B, 20, F, 1F, 1, 12, 1C, 6, 8, 3, 14, 14, 14, 16, 15, 21, 24, 17, 19,
8, 1D, 13, 1C, 6, C, 1D, 15, 6, 1E, 23, 2, 23, 5, 1A, A, D]
"B", [E, 13, 16, 24, 7, 1, 23, 9, 1B, B, 3, 23, 21, 2, 18, 11, 22, 1E, 1E, 4,
18, 10, F, 23, 1, 24, D, 15, 7, 24, 16, 6, 14, 14, 17, 2]
"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", [1B, 20, F, 1F, 1, 12, 1C, 6, 1B, B, 14, 14, 14, 16, 15, 21, 24, 17, 19,
8, 1D, 13, 1C, 6, C, 1D, 15, 6, 1E, 23, 2, 23, 5, 1A, A, D]
"B", [E, 13, 16, 24, 7, 1, 23, 9, 8, 3, 3, 23, 21, 2, 18, 11, 22, 1E, 1E, 4,
18, 10, F, 23, 1, 24, D, 15, 7, 24, 16, 6, 14, 14, 17, 2]
"Coloring", {10}
Delta Rank with R :
"tailcheck for rank 27"
Delta Rank with B :
"tailcheck for rank 24"
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", [1B, 20, F, 1F, 1, 12, 1C, 6, 1B, 3, 3, 14, 14, 16, 15, 21, 24, 17, 19,
8, 1D, 13, 1C, 6, C, 1D, 15, 6, 1E, 23, 2, 23, 5, 1A, A, D]
"B", [E, 13, 16, 24, 7, 1, 23, 9, 8, B, 14, 23, 21, 2, 18, 11, 22, 1E, 1E, 4,
18, 10, F, 23, 1, 24, D, 15, 7, 24, 16, 6, 14, 14, 17, 2]
"Coloring", {11}
Delta Rank with R :
"tailcheck for rank 27"
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", [1B, 20, F, 1F, 1, 12, 1C, 6, 1B, 3, 14, 23, 14, 16, 15, 21, 24, 17, 19,
8, 1D, 13, 1C, 6, C, 1D, 15, 6, 1E, 23, 2, 23, 5, 1A, A, D]
"B", [E, 13, 16, 24, 7, 1, 23, 9, 8, B, 3, 14, 21, 2, 18, 11, 22, 1E, 1E, 4,
18, 10, F, 23, 1, 24, D, 15, 7, 24, 16, 6, 14, 14, 17, 2]
"Coloring", {12}
Delta Rank with R :
"tailcheck for rank 27"
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", [1B, 20, F, 1F, 1, 12, 1C, 6, 1B, 3, 14, 14, 21, 16, 15, 21, 24, 17, 19,
8, 1D, 13, 1C, 6, C, 1D, 15, 6, 1E, 23, 2, 23, 5, 1A, A, D]
"B", [E, 13, 16, 24, 7, 1, 23, 9, 8, B, 3, 23, 14, 2, 18, 11, 22, 1E, 1E, 4,
18, 10, F, 23, 1, 24, D, 15, 7, 24, 16, 6, 14, 14, 17, 2]
"Coloring", {13}
Delta Rank with R :
"tailcheck for rank 27"
Delta Rank with B :
"tailcheck for rank 24"
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", [1B, 20, F, 1F, 1, 12, 1C, 6, 1B, 3, 14, 14, 14, 2, 15, 21, 24, 17, 19,
8, 1D, 13, 1C, 6, C, 1D, 15, 6, 1E, 23, 2, 23, 5, 1A, A, D]
"B", [E, 13, 16, 24, 7, 1, 23, 9, 8, B, 3, 23, 21, 16, 18, 11, 22, 1E, 1E, 4,
18, 10, F, 23, 1, 24, D, 15, 7, 24, 16, 6, 14, 14, 17, 2]
"Coloring", {14}
Delta Rank with R :
"tailcheck for rank 26"
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", [1B, 20, F, 1F, 1, 12, 1C, 6, 1B, 3, 14, 14, 14, 16, 18, 21, 24, 17, 19,
8, 1D, 13, 1C, 6, C, 1D, 15, 6, 1E, 23, 2, 23, 5, 1A, A, D]
"B", [E, 13, 16, 24, 7, 1, 23, 9, 8, B, 3, 23, 21, 2, 15, 11, 22, 1E, 1E, 4,
18, 10, F, 23, 1, 24, D, 15, 7, 24, 16, 6, 14, 14, 17, 2]
"Coloring", {15}
Delta Rank with R :
"tailcheck for rank 28"
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", [1B, 20, F, 1F, 1, 12, 1C, 6, 1B, 3, 14, 14, 14, 16, 15, 11, 24, 17, 19,
8, 1D, 13, 1C, 6, C, 1D, 15, 6, 1E, 23, 2, 23, 5, 1A, A, D]
"B", [E, 13, 16, 24, 7, 1, 23, 9, 8, B, 3, 23, 21, 2, 18, 21, 22, 1E, 1E, 4,
18, 10, F, 23, 1, 24, D, 15, 7, 24, 16, 6, 14, 14, 17, 2]
"Coloring", {16}
Delta Rank with R :
"tailcheck for rank 27"
Delta Rank with B :
"tailcheck for rank 24"
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", [1B, 20, F, 1F, 1, 12, 1C, 6, 1B, 3, 14, 14, 14, 16, 15, 21, 22, 17, 19,
8, 1D, 13, 1C, 6, C, 1D, 15, 6, 1E, 23, 2, 23, 5, 1A, A, D]
"B", [E, 13, 16, 24, 7, 1, 23, 9, 8, B, 3, 23, 21, 2, 18, 11, 24, 1E, 1E, 4,
18, 10, F, 23, 1, 24, D, 15, 7, 24, 16, 6, 14, 14, 17, 2]
"Coloring", {17}
Delta Rank with R :
"tailcheck for rank 27"
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", [1B, 20, F, 1F, 1, 12, 1C, 6, 1B, 3, 14, 14, 14, 16, 15, 21, 24, 1E, 19,
8, 1D, 13, 1C, 6, C, 1D, 15, 6, 1E, 23, 2, 23, 5, 1A, A, D]
"B", [E, 13, 16, 24, 7, 1, 23, 9, 8, B, 3, 23, 21, 2, 18, 11, 22, 17, 1E, 4,
18, 10, F, 23, 1, 24, D, 15, 7, 24, 16, 6, 14, 14, 17, 2]
"Coloring", {18}
Delta Rank with R :
"tailcheck for rank 26"
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", [1B, 20, F, 1F, 1, 12, 1C, 6, 1B, 3, 14, 14, 14, 16, 15, 21, 24, 17, 1E,
8, 1D, 13, 1C, 6, C, 1D, 15, 6, 1E, 23, 2, 23, 5, 1A, A, D]
"B", [E, 13, 16, 24, 7, 1, 23, 9, 8, B, 3, 23, 21, 2, 18, 11, 22, 1E, 19, 4,
18, 10, F, 23, 1, 24, D, 15, 7, 24, 16, 6, 14, 14, 17, 2]
"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", [1B, 20, F, 1F, 1, 12, 1C, 6, 1B, 3, 14, 14, 14, 16, 15, 21, 24, 17, 19,
4, 1D, 13, 1C, 6, C, 1D, 15, 6, 1E, 23, 2, 23, 5, 1A, A, D]
"B", [E, 13, 16, 24, 7, 1, 23, 9, 8, B, 3, 23, 21, 2, 18, 11, 22, 1E, 1E, 8,
18, 10, F, 23, 1, 24, D, 15, 7, 24, 16, 6, 14, 14, 17, 2]
"Coloring", {20}
Delta Rank with R :
"tailcheck for rank 27"
Delta Rank with B :
"tailcheck for rank 24"
| SUMMARY |
|---|
| Graph Type |
| CC |
|---|
| ν(A) |
|
4
|
|---|
| ν(Δ) |
|
4
|
|---|
| π |
|
[62867226, 49476208, 34790163, 30037056, 16820924, 86389188, 26558209,
40049408, 20024704, 46386884, 23193442, 11262170, 46973120, 31433613,
51387172, 20310576, 10155288, 43194594, 45048680, 60074112, 70052166,
40621152, 67984181, 60719669, 22524340, 2538822, 41445965, 47271195,
36295494, 62269384, 15018528, 24738104, 33641848, 5077644, 92773768, 52500275
]
|
|---|
| 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
|