New Graph
[C, 18, 1, 1C, 17, E, 13, 4, 13, 18, 4, D, 12, 1C, 1B, 4, E, 9, 7, 1C, 7, 3,
14, 5, C, 1D, 9, 18, A, 8, 2, D], [B, 13, 11, 16, 1, 1, 6, 12, A, 1, 15, 1A,
1E, 15, 1C, 13, 20, 11, 10, F, A, 1E, 20, 1, 1F, 1, B, 15, 19, C, 20, 10]
π =
[474637196, 10819617, 64565874, 258263496, 113218976, 143351446, 286702892,
87269912, 80342546, 228586272, 240856691, 346227744, 219947900, 126219418,
14152372, 188400389, 109087390, 153608906, 283132722, 28304744, 290273062,
129131748, 56609488, 226437952, 43278468, 173113872, 7076186, 213470015,
86556936, 174539824, 21639234, 93668056]
POSSIBLE RANKS
1
x
4973491344
2
x
2486745672
3
x
1657830448
4
x
1243372836
6
x
828915224
8
x
621686418
12
x
414457612
16
x
310843209
24
x
207228806
48
x
103614403
NullSpace of Δ
{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}
Nullspace of A
[{1, 3, 7, 9, 12, 13, 15, 18, 19, 21, 22, 25, 27, 32},{2, 4, 5, 6, 8, 10,
11, 14, 16, 17, 20, 23, 24, 26, 28, 29, 30, 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]
"R", [C, 18, 1, 1C, 17, E, 13, 4, 13, 18, 4, D, 12, 1C, 1B, 4, E, 9, 7, 1C, 7,
3, 14, 5, C, 1D, 9, 18, A, 8, 2, D]
"B", [B, 13, 11, 16, 1, 1, 6, 12, A, 1, 15, 1A, 1E, 15, 1C, 13, 20, 11, 10, F,
A, 1E, 20, 1, 1F, 1, B, 15, 19, C, 20, 10]
"Coloring", {}
Delta Rank with R :
"tailcheck for rank 20"
Delta Rank with B :
"tailcheck for rank 18"
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]
"R", [C, 13, 1, 1C, 17, E, 13, 4, 13, 18, 4, D, 12, 1C, 1B, 4, E, 9, 7, 1C, 7,
3, 14, 5, C, 1D, 9, 18, A, 8, 2, D]
"B", [B, 18, 11, 16, 1, 1, 6, 12, A, 1, 15, 1A, 1E, 15, 1C, 13, 20, 11, 10, F,
A, 1E, 20, 1, 1F, 1, B, 15, 19, C, 20, 10]
"Coloring", {2}
Delta Rank with R :
"tailcheck for rank 20"
Delta Rank with B :
"tailcheck for rank 19"
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]
"R", [C, 18, 11, 1C, 17, E, 13, 4, 13, 18, 4, D, 12, 1C, 1B, 4, E, 9, 7, 1C,
7, 3, 14, 5, C, 1D, 9, 18, A, 8, 2, D]
"B", [B, 13, 1, 16, 1, 1, 6, 12, A, 1, 15, 1A, 1E, 15, 1C, 13, 20, 11, 10, F,
A, 1E, 20, 1, 1F, 1, B, 15, 19, C, 20, 10]
"Coloring", {3}
Delta Rank with R :
"tailcheck for rank 20"
Delta Rank with B :
"tailcheck for rank 18"
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]
"R", [C, 18, 1, 16, 17, E, 13, 4, 13, 18, 4, D, 12, 1C, 1B, 4, E, 9, 7, 1C, 7,
3, 14, 5, C, 1D, 9, 18, A, 8, 2, D]
"B", [B, 13, 11, 1C, 1, 1, 6, 12, A, 1, 15, 1A, 1E, 15, 1C, 13, 20, 11, 10, F,
A, 1E, 20, 1, 1F, 1, B, 15, 19, C, 20, 10]
"Coloring", {4}
Delta Rank with R :
"tailcheck for rank 21"
Delta Rank with B :
"tailcheck for rank 17"
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]
"R", [C, 18, 1, 1C, 1, E, 13, 4, 13, 18, 4, D, 12, 1C, 1B, 4, E, 9, 7, 1C, 7,
3, 14, 5, C, 1D, 9, 18, A, 8, 2, D]
"B", [B, 13, 11, 16, 17, 1, 6, 12, A, 1, 15, 1A, 1E, 15, 1C, 13, 20, 11, 10,
F, A, 1E, 20, 1, 1F, 1, B, 15, 19, C, 20, 10]
"Coloring", {5}
Delta Rank with R :
"tailcheck for rank 19"
Delta Rank with B :
"tailcheck for rank 19"
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]
"R", [C, 18, 1, 1C, 17, 1, 13, 4, 13, 18, 4, D, 12, 1C, 1B, 4, E, 9, 7, 1C, 7,
3, 14, 5, C, 1D, 9, 18, A, 8, 2, D]
"B", [B, 13, 11, 16, 1, E, 6, 12, A, 1, 15, 1A, 1E, 15, 1C, 13, 20, 11, 10, F,
A, 1E, 20, 1, 1F, 1, B, 15, 19, C, 20, 10]
"Coloring", {6}
Delta Rank with R :
"tailcheck for rank 20"
Delta Rank with B :
"tailcheck for rank 19"
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]
"R", [C, 18, 1, 1C, 17, E, 6, 4, 13, 18, 4, D, 12, 1C, 1B, 4, E, 9, 7, 1C, 7,
3, 14, 5, C, 1D, 9, 18, A, 8, 2, D]
"B", [B, 13, 11, 16, 1, 1, 13, 12, A, 1, 15, 1A, 1E, 15, 1C, 13, 20, 11, 10,
F, A, 1E, 20, 1, 1F, 1, B, 15, 19, C, 20, 10]
"Coloring", {7}
Delta Rank with R :
"tailcheck for rank 21"
Delta Rank with B :
"tailcheck for rank 17"
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]
"R", [C, 18, 1, 1C, 17, E, 13, 12, 13, 18, 4, D, 12, 1C, 1B, 4, E, 9, 7, 1C,
7, 3, 14, 5, C, 1D, 9, 18, A, 8, 2, D]
"B", [B, 13, 11, 16, 1, 1, 6, 4, A, 1, 15, 1A, 1E, 15, 1C, 13, 20, 11, 10, F,
A, 1E, 20, 1, 1F, 1, B, 15, 19, C, 20, 10]
"Coloring", {8}
Delta Rank with R :
"tailcheck for rank 20"
Delta Rank with B :
"tailcheck for rank 18"
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]
"R", [C, 18, 1, 1C, 17, E, 13, 4, A, 18, 4, D, 12, 1C, 1B, 4, E, 9, 7, 1C, 7,
3, 14, 5, C, 1D, 9, 18, A, 8, 2, D]
"B", [B, 13, 11, 16, 1, 1, 6, 12, 13, 1, 15, 1A, 1E, 15, 1C, 13, 20, 11, 10,
F, A, 1E, 20, 1, 1F, 1, B, 15, 19, C, 20, 10]
"Coloring", {9}
Delta Rank with R :
"tailcheck for rank 20"
Delta Rank with B :
"tailcheck for rank 18"
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]
"R", [C, 18, 1, 1C, 17, E, 13, 4, 13, 1, 4, D, 12, 1C, 1B, 4, E, 9, 7, 1C, 7,
3, 14, 5, C, 1D, 9, 18, A, 8, 2, D]
"B", [B, 13, 11, 16, 1, 1, 6, 12, A, 18, 15, 1A, 1E, 15, 1C, 13, 20, 11, 10,
F, A, 1E, 20, 1, 1F, 1, B, 15, 19, C, 20, 10]
"Coloring", {10}
Delta Rank with R :
"tailcheck for rank 20"
Delta Rank with B :
"tailcheck for rank 19"
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]
"R", [C, 18, 1, 1C, 17, E, 13, 4, 13, 18, 15, D, 12, 1C, 1B, 4, E, 9, 7, 1C,
7, 3, 14, 5, C, 1D, 9, 18, A, 8, 2, D]
"B", [B, 13, 11, 16, 1, 1, 6, 12, A, 1, 4, 1A, 1E, 15, 1C, 13, 20, 11, 10, F,
A, 1E, 20, 1, 1F, 1, B, 15, 19, C, 20, 10]
"Coloring", {11}
Delta Rank with R :
"tailcheck for rank 21"
Delta Rank with B :
"tailcheck for rank 19"
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]
"R", [C, 18, 1, 1C, 17, E, 13, 4, 13, 18, 4, 1A, 12, 1C, 1B, 4, E, 9, 7, 1C,
7, 3, 14, 5, C, 1D, 9, 18, A, 8, 2, D]
"B", [B, 13, 11, 16, 1, 1, 6, 12, A, 1, 15, D, 1E, 15, 1C, 13, 20, 11, 10, F,
A, 1E, 20, 1, 1F, 1, B, 15, 19, C, 20, 10]
"Coloring", {12}
Delta Rank with R :
"tailcheck for rank 21"
Delta Rank with B :
"tailcheck for rank 18"
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]
"R", [C, 18, 1, 1C, 17, E, 13, 4, 13, 18, 4, D, 1E, 1C, 1B, 4, E, 9, 7, 1C, 7,
3, 14, 5, C, 1D, 9, 18, A, 8, 2, D]
"B", [B, 13, 11, 16, 1, 1, 6, 12, A, 1, 15, 1A, 12, 15, 1C, 13, 20, 11, 10, F,
A, 1E, 20, 1, 1F, 1, B, 15, 19, C, 20, 10]
"Coloring", {13}
Delta Rank with R :
"tailcheck for rank 20"
Delta Rank with B :
"tailcheck for rank 18"
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]
"R", [C, 18, 1, 1C, 17, E, 13, 4, 13, 18, 4, D, 12, 15, 1B, 4, E, 9, 7, 1C, 7,
3, 14, 5, C, 1D, 9, 18, A, 8, 2, D]
"B", [B, 13, 11, 16, 1, 1, 6, 12, A, 1, 15, 1A, 1E, 1C, 1C, 13, 20, 11, 10, F,
A, 1E, 20, 1, 1F, 1, B, 15, 19, C, 20, 10]
"Coloring", {14}
Delta Rank with R :
"tailcheck for rank 21"
Delta Rank with B :
"tailcheck for rank 18"
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]
"R", [C, 18, 1, 1C, 17, E, 13, 4, 13, 18, 4, D, 12, 1C, 1C, 4, E, 9, 7, 1C, 7,
3, 14, 5, C, 1D, 9, 18, A, 8, 2, D]
"B", [B, 13, 11, 16, 1, 1, 6, 12, A, 1, 15, 1A, 1E, 15, 1B, 13, 20, 11, 10, F,
A, 1E, 20, 1, 1F, 1, B, 15, 19, C, 20, 10]
"Coloring", {15}
Delta Rank with R :
"tailcheck for rank 19"
Delta Rank with B :
"tailcheck for rank 18"
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]
"R", [C, 18, 1, 1C, 17, E, 13, 4, 13, 18, 4, D, 12, 1C, 1B, 13, E, 9, 7, 1C,
7, 3, 14, 5, C, 1D, 9, 18, A, 8, 2, D]
"B", [B, 13, 11, 16, 1, 1, 6, 12, A, 1, 15, 1A, 1E, 15, 1C, 4, 20, 11, 10, F,
A, 1E, 20, 1, 1F, 1, B, 15, 19, C, 20, 10]
"Coloring", {16}
Delta Rank with R :
"tailcheck for rank 20"
Delta Rank with B :
"tailcheck for rank 19"
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]
"R", [C, 18, 1, 1C, 17, E, 13, 4, 13, 18, 4, D, 12, 1C, 1B, 4, 20, 9, 7, 1C,
7, 3, 14, 5, C, 1D, 9, 18, A, 8, 2, D]
"B", [B, 13, 11, 16, 1, 1, 6, 12, A, 1, 15, 1A, 1E, 15, 1C, 13, E, 11, 10, F,
A, 1E, 20, 1, 1F, 1, B, 15, 19, C, 20, 10]
"Coloring", {17}
Delta Rank with R :
"tailcheck for rank 21"
Delta Rank with B :
"tailcheck for rank 19"
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]
"R", [C, 18, 1, 1C, 17, E, 13, 4, 13, 18, 4, D, 12, 1C, 1B, 4, E, 11, 7, 1C,
7, 3, 14, 5, C, 1D, 9, 18, A, 8, 2, D]
"B", [B, 13, 11, 16, 1, 1, 6, 12, A, 1, 15, 1A, 1E, 15, 1C, 13, 20, 9, 10, F,
A, 1E, 20, 1, 1F, 1, B, 15, 19, C, 20, 10]
"Coloring", {18}
Delta Rank with R :
"tailcheck for rank 21"
Delta Rank with B :
"tailcheck for rank 19"
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]
"R", [C, 18, 1, 1C, 17, E, 13, 4, 13, 18, 4, D, 12, 1C, 1B, 4, E, 9, 10, 1C,
7, 3, 14, 5, C, 1D, 9, 18, A, 8, 2, D]
"B", [B, 13, 11, 16, 1, 1, 6, 12, A, 1, 15, 1A, 1E, 15, 1C, 13, 20, 11, 7, F,
A, 1E, 20, 1, 1F, 1, B, 15, 19, C, 20, 10]
"Coloring", {19}
Delta Rank with R :
"tailcheck for rank 21"
Delta Rank with B :
"tailcheck for rank 19"
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]
"R", [C, 18, 1, 1C, 17, E, 13, 4, 13, 18, 4, D, 12, 1C, 1B, 4, E, 9, 7, F, 7,
3, 14, 5, C, 1D, 9, 18, A, 8, 2, D]
"B", [B, 13, 11, 16, 1, 1, 6, 12, A, 1, 15, 1A, 1E, 15, 1C, 13, 20, 11, 10,
1C, A, 1E, 20, 1, 1F, 1, B, 15, 19, C, 20, 10]
"Coloring", {20}
Delta Rank with R :
"tailcheck for rank 21"
Delta Rank with B :
"tailcheck for rank 17"
| SUMMARY |
|---|
| Graph Type |
| CC |
|---|
| ν(A) |
|
1
|
|---|
| ν(Δ) |
|
1
|
|---|
| π |
|
[474637196, 10819617, 64565874, 258263496, 113218976, 143351446, 286702892,
87269912, 80342546, 228586272, 240856691, 346227744, 219947900, 126219418,
14152372, 188400389, 109087390, 153608906, 283132722, 28304744, 290273062,
129131748, 56609488, 226437952, 43278468, 173113872, 7076186, 213470015,
86556936, 174539824, 21639234, 93668056]
|
|---|
| 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
|
2147483648
|