// Cells and their vertices.
#0={0,1,4,6,8,16,18,20,22,31,33,35,44,46,58}
#1={5,7,9,11,12,17,19,21,23,32,34,36,45,47,59}
#2={2,3,24,25,26,27,28,37,38,39,40,41,48,49,50,51,52,53,54,55,60,61,62,63,64,65,66,67,70,71,72,73,74,75,76,77,78,79,80,81,82,87,88,90,91,92,93,94,95,98,99,101,102,105,107,108}
#3={10,14,29,42,56,68}
#4={13,15,30,43,57,69}
#5={89,100,106,111,112,115}
#6={83,85,96,103,109,113,116}
#7={84,86,97,104,110,114,117}
#8={118}

// Induced graph on cells.
#0:.
#1:.
#2:->#0,#1.
#3:->#0.
#4:->#1.
#5:->#2.
#6:->#2,#3,#5.
#7:->#2,#4,#5.
#8:->#5,#6,#7.

// Individual cells.
// cell #0:
0[0]: {1,2,3,4} --> 8
1[1]: {1,2,3,6,7} --> 7,8
2[4]: {1,2,5,6,7} --> 6,7
3[6]: {1,4,5,6,7} --> 5,6
4[8]: {3,4,5,6,7} --> 5
5[16]: {2,4,5,6,7} --> 3,4,9
6[18]: {1,3,5,6,7} --> 2,3,9,10
7[20]: {1,2,4,6,7} --> 1,2,10,11
8[22]: {1,2,3,5} --> 0,1,11
9[31]: {2,3,5,6,7} --> 5,6,12
10[33]: {1,3,4,6,7} --> 6,7,12,13
11[35]: {1,2,4,5} --> 7,8,13
12[44]: {2,3,4,6,7} --> 9,10,14
13[46]: {1,3,4,5} --> 10,11,14
14[58]: {2,3,4,5} --> 12,13

// cell #1:
0[5]: {1,2,3,4} --> 8
1[7]: {1,2,3,6,7} --> 7,8
2[9]: {1,2,5,6,7} --> 6,7
3[11]: {1,4,5,6,7} --> 5,6
4[12]: {3,4,5,6,7} --> 5
5[17]: {2,4,5,6,7} --> 3,4,9
6[19]: {1,3,5,6,7} --> 2,3,9,10
7[21]: {1,2,4,6,7} --> 1,2,10,11
8[23]: {1,2,3,5} --> 0,1,11
9[32]: {2,3,5,6,7} --> 5,6,12
10[34]: {1,3,4,6,7} --> 6,7,12,13
11[36]: {1,2,4,5} --> 7,8,13
12[45]: {2,3,4,6,7} --> 9,10,14
13[47]: {1,3,4,5} --> 10,11,14
14[59]: {2,3,4,5} --> 12,13

// cell #2:
0[2]: {1,2,3,4,5} --> 3,4,11
1[3]: {1,2,3,4,5} --> 2,5,11
2[24]: {1,2,3,4,7} --> 1,7
3[25]: {1,2,3,4,7} --> 0,8
4[26]: {1,2,3,4,6} --> 0,9
5[27]: {1,2,3,4,6} --> 1,10
6[28]: {1,2,3,4,6,7} --> 2,3,4,5,11,16,17,27
7[37]: {1,2,3,5,7} --> 2,11,12,16
8[38]: {1,2,3,5,7} --> 3,11,13,17
9[39]: {1,2,3,5,6} --> 4,11,14,16
10[40]: {1,2,3,5,6} --> 5,11,15,17
11[41]: {1,2,3,5} --> 6,18
12[48]: {1,2,4,5,7} --> 7,18,20,24
13[49]: {1,2,4,5,7} --> 8,18,21,25
14[50]: {1,2,4,5,6} --> 9,18,22,24
15[51]: {1,2,4,5,6} --> 10,18,23,25
16[52]: {1,2,3,6,7} --> 7,9,24
17[53]: {1,2,3,6,7} --> 8,10,25
18[54]: {1,2,4,5} --> 11,26,27
19[55]: {1,2,3,5,6,7} --> 11,16,17,27,28,29,43
20[60]: {1,3,4,5,7} --> 12,26,30,34
21[61]: {1,3,4,5,7} --> 13,26,31,35
22[62]: {1,3,4,5,6} --> 14,26,32,34
23[63]: {1,3,4,5,6} --> 15,26,33,35
24[64]: {1,2,4,6,7} --> 12,14,16,28,34
25[65]: {1,2,4,6,7} --> 13,15,17,29,35
26[66]: {1,3,4,5} --> 18,36,38
27[67]: {1,2,4,6,7} --> 18,19,38
28[70]: {1,2,5,6,7} --> 24,39
29[71]: {1,2,5,6,7} --> 25,40
30[72]: {2,3,4,5,7} --> 20,36,41
31[73]: {2,3,4,5,7} --> 21,36,42
32[74]: {2,3,4,5,6} --> 22,36,41
33[75]: {2,3,4,5,6} --> 23,36,42
34[76]: {1,3,4,6,7} --> 20,22,24,39,41
35[77]: {1,3,4,6,7} --> 21,23,25,40,42
36[78]: {2,3,4,5} --> 26,44
37[79]: {1,2,4,5,6,7} --> 27,28,29,43,45,46,53
38[80]: {1,3,4,6,7} --> 26,27,43,44
39[81]: {1,3,5,6,7} --> 28,34,45,47
40[82]: {1,3,5,6,7} --> 29,35,46,48
41[87]: {2,3,4,6,7} --> 30,32,34,47
42[88]: {2,3,4,6,7} --> 31,33,35,48
43[90]: {1,3,5,6,7} --> 37,38,50
44[91]: {2,3,4,6,7} --> 36,38,50
45[92]: {1,4,5,6,7} --> 39,51
46[93]: {1,4,5,6,7} --> 40,52
47[94]: {2,3,5,6,7} --> 39,41,51
48[95]: {2,3,5,6,7} --> 40,42,52
49[98]: {1,3,4,5,6,7} --> 43,45,46,53,54,55
50[99]: {2,3,5,6,7} --> 43,44,53
51[101]: {2,4,5,6,7} --> 45,47,54
52[102]: {2,4,5,6,7} --> 46,48,55
53[105]: {2,4,5,6,7} --> 49,50
54[107]: {3,4,5,6,7} --> 51
55[108]: {3,4,5,6,7} --> 52

// cell #3:
0[10]: {2,3,4,5,6,7} --> 1
1[14]: {1,3,4,5,6,7} --> 0,2
2[29]: {1,2,4,5,6,7} --> 1,3
3[42]: {1,2,3,5,6,7} --> 2,4
4[56]: {1,2,3,4,6,7} --> 3,5
5[68]: {1,2,3,4,5} --> 4

// cell #4:
0[13]: {2,3,4,5,6,7} --> 1
1[15]: {1,3,4,5,6,7} --> 0,2
2[30]: {1,2,4,5,6,7} --> 1,3
3[43]: {1,2,3,5,6,7} --> 2,4
4[57]: {1,2,3,4,6,7} --> 3,5
5[69]: {1,2,3,4,5} --> 4

// cell #5:
0[89]: {1,2,3,4,5} --> 1
1[100]: {1,2,3,4,6,7} --> 0,2
2[106]: {1,2,3,5,6,7} --> 1,4
3[111]: {2,3,4,5,6,7} --> 5
4[112]: {1,2,4,5,6,7} --> 2,5
5[115]: {1,3,4,5,6,7} --> 3,4

// cell #6:
0[83]: {1,2,3,4,5,7} --> 2
1[85]: {1,2,3,4,5,6} --> 2
2[96]: {1,2,3,4,6,7} --> 0,1,3
3[103]: {1,2,3,5,6,7} --> 2,4
4[109]: {1,2,4,5,6,7} --> 3,5
5[113]: {1,3,4,5,6,7} --> 4,6
6[116]: {2,3,4,5,6,7} --> 5

// cell #7:
0[84]: {1,2,3,4,5,7} --> 2
1[86]: {1,2,3,4,5,6} --> 2
2[97]: {1,2,3,4,6,7} --> 0,1,3
3[104]: {1,2,3,5,6,7} --> 2,4
4[110]: {1,2,4,5,6,7} --> 3,5
5[114]: {1,3,4,5,6,7} --> 4,6
6[117]: {2,3,4,5,6,7} --> 5

// cell #8:
0[118]: {1,2,3,4,5,6,7}