New Graph
[7, E, 16, 12, 7, 20, 1, 15, F, B, 11, 16, E, 10, 16, 18, 4, 1E, 16, 4, E, C,
1C, 1E, 7, 10, 12, C, 1A, 8, 5, 17], [1A, 1, 1D, 3, 11, 1D, 2, 9, D, 1F, C,
E, 1, 17, 1D, 13, C, 13, 18, 1, 19, B, 1B, 19, 4, 20, 13, A, 6, 5, 10, 14]
π =
[11318776, 6294388, 4884746, 9769492, 5926351, 2064082, 12588776, 5230000,
2615000, 2785404, 12392991, 24562024, 1307500, 17389456, 1307500, 13252814,
9159671, 7670150, 13246886, 2446888, 2615000, 22000578, 11141616, 13249850,
7932425, 7723470, 5570808, 5570808, 4128164, 10460000, 1392702, 4893776]
POSSIBLE RANKS
1
x
262892092
2
x
131446046
4
x
65723023
79
x
3327748
101
x
2602892
158
x
1663874
202
x
1301446
316
x
831937
404
x
650723
7979
x
32948
8237
x
31916
15958
x
16474
NullSpace of Δ
{1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 14, 16, 17, 18, 19, 20, 22, 23, 24, 25,
26, 29, 30, 31, 32}, {27, 28}, {13, 15}, {9, 21}
Nullspace of A
[{2, 4, 8, 10, 11, 14, 16, 17, 18, 20, 24, 26, 29, 30},{1, 3, 5, 6, 7, 12,
19, 22, 23, 25, 31, 32}]
`,` [{13},{15}]
`,` [{27},{28}]
`,` [{21},{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]
"R", [7, E, 16, 12, 7, 20, 1, 15, F, B, 11, 16, E, 10, 16, 18, 4, 1E, 16, 4,
E, C, 1C, 1E, 7, 10, 12, C, 1A, 8, 5, 17]
"B", [1A, 1, 1D, 3, 11, 1D, 2, 9, D, 1F, C, E, 1, 17, 1D, 13, C, 13, 18, 1,
19, B, 1B, 19, 4, 20, 13, A, 6, 5, 10, 14]
"Coloring", {}
Delta Rank with R :
"tailcheck for rank 20"
Delta Rank with B :
"tailcheck for rank 24"
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", [7, 1, 16, 12, 7, 20, 1, 15, F, B, 11, 16, E, 10, 16, 18, 4, 1E, 16, 4,
E, C, 1C, 1E, 7, 10, 12, C, 1A, 8, 5, 17]
"B", [1A, E, 1D, 3, 11, 1D, 2, 9, D, 1F, C, E, 1, 17, 1D, 13, C, 13, 18, 1,
19, B, 1B, 19, 4, 20, 13, A, 6, 5, 10, 14]
"Coloring", {2}
Delta Rank with R :
"tailcheck for rank 20"
Delta Rank with B :
"tailcheck for rank 24"
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", [7, E, 1D, 12, 7, 20, 1, 15, F, B, 11, 16, E, 10, 16, 18, 4, 1E, 16, 4,
E, C, 1C, 1E, 7, 10, 12, C, 1A, 8, 5, 17]
"B", [1A, 1, 16, 3, 11, 1D, 2, 9, D, 1F, C, E, 1, 17, 1D, 13, C, 13, 18, 1,
19, B, 1B, 19, 4, 20, 13, A, 6, 5, 10, 14]
"Coloring", {3}
Delta Rank with R :
"tailcheck for rank 21"
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]
"R", [7, E, 16, 3, 7, 20, 1, 15, F, B, 11, 16, E, 10, 16, 18, 4, 1E, 16, 4, E,
C, 1C, 1E, 7, 10, 12, C, 1A, 8, 5, 17]
"B", [1A, 1, 1D, 12, 11, 1D, 2, 9, D, 1F, C, E, 1, 17, 1D, 13, C, 13, 18, 1,
19, B, 1B, 19, 4, 20, 13, A, 6, 5, 10, 14]
"Coloring", {4}
Delta Rank with R :
"tailcheck for rank 21"
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]
"R", [7, E, 16, 12, 11, 20, 1, 15, F, B, 11, 16, E, 10, 16, 18, 4, 1E, 16, 4,
E, C, 1C, 1E, 7, 10, 12, C, 1A, 8, 5, 17]
"B", [1A, 1, 1D, 3, 7, 1D, 2, 9, D, 1F, C, E, 1, 17, 1D, 13, C, 13, 18, 1, 19,
B, 1B, 19, 4, 20, 13, A, 6, 5, 10, 14]
"Coloring", {5}
Delta Rank with R :
"tailcheck for rank 20"
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]
"R", [7, E, 16, 12, 7, 1D, 1, 15, F, B, 11, 16, E, 10, 16, 18, 4, 1E, 16, 4,
E, C, 1C, 1E, 7, 10, 12, C, 1A, 8, 5, 17]
"B", [1A, 1, 1D, 3, 11, 20, 2, 9, D, 1F, C, E, 1, 17, 1D, 13, C, 13, 18, 1,
19, B, 1B, 19, 4, 20, 13, A, 6, 5, 10, 14]
"Coloring", {6}
Delta Rank with R :
"tailcheck for rank 20"
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]
"R", [7, E, 16, 12, 7, 20, 2, 15, F, B, 11, 16, E, 10, 16, 18, 4, 1E, 16, 4,
E, C, 1C, 1E, 7, 10, 12, C, 1A, 8, 5, 17]
"B", [1A, 1, 1D, 3, 11, 1D, 1, 9, D, 1F, C, E, 1, 17, 1D, 13, C, 13, 18, 1,
19, B, 1B, 19, 4, 20, 13, A, 6, 5, 10, 14]
"Coloring", {7}
Delta Rank with R :
"tailcheck for rank 20"
Delta Rank with B :
"tailcheck for rank 23"
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", [7, E, 16, 12, 7, 20, 1, 9, F, B, 11, 16, E, 10, 16, 18, 4, 1E, 16, 4, E,
C, 1C, 1E, 7, 10, 12, C, 1A, 8, 5, 17]
"B", [1A, 1, 1D, 3, 11, 1D, 2, 15, D, 1F, C, E, 1, 17, 1D, 13, C, 13, 18, 1,
19, B, 1B, 19, 4, 20, 13, A, 6, 5, 10, 14]
"Coloring", {8}
Delta Rank with R :
"tailcheck for rank 20"
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]
"R", [7, E, 16, 12, 7, 20, 1, 15, D, B, 11, 16, E, 10, 16, 18, 4, 1E, 16, 4,
E, C, 1C, 1E, 7, 10, 12, C, 1A, 8, 5, 17]
"B", [1A, 1, 1D, 3, 11, 1D, 2, 9, F, 1F, C, E, 1, 17, 1D, 13, C, 13, 18, 1,
19, B, 1B, 19, 4, 20, 13, A, 6, 5, 10, 14]
"Coloring", {9}
Delta Rank with R :
"tailcheck for rank 20"
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]
"R", [7, E, 16, 12, 7, 20, 1, 15, F, 1F, 11, 16, E, 10, 16, 18, 4, 1E, 16, 4,
E, C, 1C, 1E, 7, 10, 12, C, 1A, 8, 5, 17]
"B", [1A, 1, 1D, 3, 11, 1D, 2, 9, D, B, C, E, 1, 17, 1D, 13, C, 13, 18, 1, 19,
B, 1B, 19, 4, 20, 13, A, 6, 5, 10, 14]
"Coloring", {10}
Delta Rank with R :
"tailcheck for rank 20"
Delta Rank with B :
"tailcheck for rank 23"
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", [7, E, 16, 12, 7, 20, 1, 15, F, B, C, 16, E, 10, 16, 18, 4, 1E, 16, 4, E,
C, 1C, 1E, 7, 10, 12, C, 1A, 8, 5, 17]
"B", [1A, 1, 1D, 3, 11, 1D, 2, 9, D, 1F, 11, E, 1, 17, 1D, 13, C, 13, 18, 1,
19, B, 1B, 19, 4, 20, 13, A, 6, 5, 10, 14]
"Coloring", {11}
Delta Rank with R :
"tailcheck for rank 19"
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]
"R", [7, E, 16, 12, 7, 20, 1, 15, F, B, 11, E, E, 10, 16, 18, 4, 1E, 16, 4, E,
C, 1C, 1E, 7, 10, 12, C, 1A, 8, 5, 17]
"B", [1A, 1, 1D, 3, 11, 1D, 2, 9, D, 1F, C, 16, 1, 17, 1D, 13, C, 13, 18, 1,
19, B, 1B, 19, 4, 20, 13, A, 6, 5, 10, 14]
"Coloring", {12}
Delta Rank with R :
"tailcheck for rank 20"
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]
"R", [7, E, 16, 12, 7, 20, 1, 15, F, B, 11, 16, 1, 10, 16, 18, 4, 1E, 16, 4,
E, C, 1C, 1E, 7, 10, 12, C, 1A, 8, 5, 17]
"B", [1A, 1, 1D, 3, 11, 1D, 2, 9, D, 1F, C, E, E, 17, 1D, 13, C, 13, 18, 1,
19, B, 1B, 19, 4, 20, 13, A, 6, 5, 10, 14]
"Coloring", {13}
Delta Rank with R :
"tailcheck for rank 20"
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]
"R", [7, E, 16, 12, 7, 20, 1, 15, F, B, 11, 16, E, 17, 16, 18, 4, 1E, 16, 4,
E, C, 1C, 1E, 7, 10, 12, C, 1A, 8, 5, 17]
"B", [1A, 1, 1D, 3, 11, 1D, 2, 9, D, 1F, C, E, 1, 10, 1D, 13, C, 13, 18, 1,
19, B, 1B, 19, 4, 20, 13, A, 6, 5, 10, 14]
"Coloring", {14}
Delta Rank with R :
"tailcheck for rank 20"
Delta Rank with B :
"tailcheck for rank 23"
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", [7, E, 16, 12, 7, 20, 1, 15, F, B, 11, 16, E, 10, 1D, 18, 4, 1E, 16, 4,
E, C, 1C, 1E, 7, 10, 12, C, 1A, 8, 5, 17]
"B", [1A, 1, 1D, 3, 11, 1D, 2, 9, D, 1F, C, E, 1, 17, 16, 13, C, 13, 18, 1,
19, B, 1B, 19, 4, 20, 13, A, 6, 5, 10, 14]
"Coloring", {15}
Delta Rank with R :
"tailcheck for rank 21"
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]
"R", [7, E, 16, 12, 7, 20, 1, 15, F, B, 11, 16, E, 10, 16, 13, 4, 1E, 16, 4,
E, C, 1C, 1E, 7, 10, 12, C, 1A, 8, 5, 17]
"B", [1A, 1, 1D, 3, 11, 1D, 2, 9, D, 1F, C, E, 1, 17, 1D, 18, C, 13, 18, 1,
19, B, 1B, 19, 4, 20, 13, A, 6, 5, 10, 14]
"Coloring", {16}
Delta Rank with R :
"tailcheck for rank 20"
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]
"R", [7, E, 16, 12, 7, 20, 1, 15, F, B, 11, 16, E, 10, 16, 18, C, 1E, 16, 4,
E, C, 1C, 1E, 7, 10, 12, C, 1A, 8, 5, 17]
"B", [1A, 1, 1D, 3, 11, 1D, 2, 9, D, 1F, C, E, 1, 17, 1D, 13, 4, 13, 18, 1,
19, B, 1B, 19, 4, 20, 13, A, 6, 5, 10, 14]
"Coloring", {17}
Delta Rank with R :
"tailcheck for rank 20"
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]
"R", [7, E, 16, 12, 7, 20, 1, 15, F, B, 11, 16, E, 10, 16, 18, 4, 13, 16, 4,
E, C, 1C, 1E, 7, 10, 12, C, 1A, 8, 5, 17]
"B", [1A, 1, 1D, 3, 11, 1D, 2, 9, D, 1F, C, E, 1, 17, 1D, 13, C, 1E, 18, 1,
19, B, 1B, 19, 4, 20, 13, A, 6, 5, 10, 14]
"Coloring", {18}
Delta Rank with R :
"tailcheck for rank 21"
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]
"R", [7, E, 16, 12, 7, 20, 1, 15, F, B, 11, 16, E, 10, 16, 18, 4, 1E, 18, 4,
E, C, 1C, 1E, 7, 10, 12, C, 1A, 8, 5, 17]
"B", [1A, 1, 1D, 3, 11, 1D, 2, 9, D, 1F, C, E, 1, 17, 1D, 13, C, 13, 16, 1,
19, B, 1B, 19, 4, 20, 13, A, 6, 5, 10, 14]
"Coloring", {19}
Delta Rank with R :
"tailcheck for rank 20"
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]
"R", [7, E, 16, 12, 7, 20, 1, 15, F, B, 11, 16, E, 10, 16, 18, 4, 1E, 16, 1,
E, C, 1C, 1E, 7, 10, 12, C, 1A, 8, 5, 17]
"B", [1A, 1, 1D, 3, 11, 1D, 2, 9, D, 1F, C, E, 1, 17, 1D, 13, C, 13, 18, 4,
19, B, 1B, 19, 4, 20, 13, A, 6, 5, 10, 14]
"Coloring", {20}
Delta Rank with R :
"tailcheck for rank 20"
Delta Rank with B :
"tailcheck for rank 24"
| SUMMARY |
|---|
| Graph Type |
| CC |
|---|
| ν(A) |
|
4
|
|---|
| ν(Δ) |
|
4
|
|---|
| π |
|
[11318776, 6294388, 4884746, 9769492, 5926351, 2064082, 12588776, 5230000,
2615000, 2785404, 12392991, 24562024, 1307500, 17389456, 1307500, 13252814,
9159671, 7670150, 13246886, 2446888, 2615000, 22000578, 11141616, 13249850,
7932425, 7723470, 5570808, 5570808, 4128164, 10460000, 1392702, 4893776]
|
|---|
| 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
|