// Cells and their vertices.
#0={0,1,3,4,5,6,7,8,11,12,13,14,15,16,17,20,21,22,23,24,25,28,29,30,31,32,35,36,37,38,41,42,43,46,47,50}
#1={2,10,19,27,34,40,45,49,52}
#2={9,18,26,33,39,44,48,51,53}
#3={54}

// Induced graph on cells.
#0:.
#1:->#0.
#2:->#0.
#3:->#1,#2.

// Individual cells.
// cell #0:
0[0]: {1,2,3,4,5,6,7} --> 8
1[1]: {1,2,3,4,5,6,9} --> 8,9
2[3]: {1,2,3,4,5,8,9} --> 9,10
3[4]: {1,2,3,4,7,8,9} --> 10,11
4[5]: {1,2,3,6,7,8,9} --> 11,12
5[6]: {1,2,5,6,7,8,9} --> 12,13
6[7]: {1,4,5,6,7,8,9} --> 13,14
7[8]: {3,4,5,6,7,8,9} --> 14
8[11]: {1,2,3,4,5,6,8} --> 0,1,15
9[12]: {1,2,3,4,5,7,9} --> 1,2,15,16
10[13]: {1,2,3,4,6,8,9} --> 2,3,16,17
11[14]: {1,2,3,5,7,8,9} --> 3,4,17,18
12[15]: {1,2,4,6,7,8,9} --> 4,5,18,19
13[16]: {1,3,5,6,7,8,9} --> 5,6,19,20
14[17]: {2,4,5,6,7,8,9} --> 6,7,20
15[20]: {1,2,3,4,5,7,8} --> 8,9,21
16[21]: {1,2,3,4,6,7,9} --> 9,10,21,22
17[22]: {1,2,3,5,6,8,9} --> 10,11,22,23
18[23]: {1,2,4,5,7,8,9} --> 11,12,23,24
19[24]: {1,3,4,6,7,8,9} --> 12,13,24,25
20[25]: {2,3,5,6,7,8,9} --> 13,14,25
21[28]: {1,2,3,4,6,7,8} --> 15,16,26
22[29]: {1,2,3,5,6,7,9} --> 16,17,26,27
23[30]: {1,2,4,5,6,8,9} --> 17,18,27,28
24[31]: {1,3,4,5,7,8,9} --> 18,19,28,29
25[32]: {2,3,4,6,7,8,9} --> 19,20,29
26[35]: {1,2,3,5,6,7,8} --> 21,22,30
27[36]: {1,2,4,5,6,7,9} --> 22,23,30,31
28[37]: {1,3,4,5,6,8,9} --> 23,24,31,32
29[38]: {2,3,4,5,7,8,9} --> 24,25,32
30[41]: {1,2,4,5,6,7,8} --> 26,27,33
31[42]: {1,3,4,5,6,7,9} --> 27,28,33,34
32[43]: {2,3,4,5,6,8,9} --> 28,29,34
33[46]: {1,3,4,5,6,7,8} --> 30,31,35
34[47]: {2,3,4,5,6,7,9} --> 31,32,35
35[50]: {2,3,4,5,6,7,8} --> 33,34

// cell #1:
0[2]: {1,2,3,4,5,6,7,8} --> 1
1[10]: {1,2,3,4,5,6,7,9} --> 0,2
2[19]: {1,2,3,4,5,6,8,9} --> 1,3
3[27]: {1,2,3,4,5,7,8,9} --> 2,4
4[34]: {1,2,3,4,6,7,8,9} --> 3,5
5[40]: {1,2,3,5,6,7,8,9} --> 4,6
6[45]: {1,2,4,5,6,7,8,9} --> 5,7
7[49]: {1,3,4,5,6,7,8,9} --> 6,8
8[52]: {2,3,4,5,6,7,8,9} --> 7

// cell #2:
0[9]: {2,3,4,5,6,7,8,9} --> 1
1[18]: {1,3,4,5,6,7,8,9} --> 0,2
2[26]: {1,2,4,5,6,7,8,9} --> 1,3
3[33]: {1,2,3,5,6,7,8,9} --> 2,4
4[39]: {1,2,3,4,6,7,8,9} --> 3,5
5[44]: {1,2,3,4,5,7,8,9} --> 4,6
6[48]: {1,2,3,4,5,6,8,9} --> 5,7
7[51]: {1,2,3,4,5,6,7,9} --> 6,8
8[53]: {1,2,3,4,5,6,7,8} --> 7

// cell #3:
0[54]: {1,2,3,4,5,6,7,8,9}