// Cells and their vertices.
#0={0,1,4,6,8,10,18,20,22,24,26,35,37,39,41,50,52,54,66,68,80}
#1={5,7,9,11,13,14,19,21,23,25,27,36,38,40,42,51,53,55,67,69,81}
#2={2,3,28,29,30,31,32,43,44,45,46,47,56,57,58,59,60,61,62,63,70,71,72,73,74,75,76,77,82,83,84,85,86,87,88,89,90,91,92,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,114,115,117,118,119,120,121,122,123,126,127,129,130,131,132,135,136,138,139,142,144,145}
#3={12,16,33,48,64,78,93}
#4={15,17,34,49,65,79,94}
#5={116,128,137,143,148,149,152}
#6={110,112,124,133,140,146,150,153}
#7={111,113,125,134,141,147,151,154}
#8={155}

// 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]: {1,2,3,4,5} --> 10
1[1]: {1,2,3,4,7,8} --> 9,10
2[4]: {1,2,3,6,7,8} --> 8,9
3[6]: {1,2,5,6,7,8} --> 7,8
4[8]: {1,4,5,6,7,8} --> 6,7
5[10]: {3,4,5,6,7,8} --> 6
6[18]: {2,4,5,6,7,8} --> 4,5,11
7[20]: {1,3,5,6,7,8} --> 3,4,11,12
8[22]: {1,2,4,6,7,8} --> 2,3,12,13
9[24]: {1,2,3,5,7,8} --> 1,2,13,14
10[26]: {1,2,3,4,6} --> 0,1,14
11[35]: {2,3,5,6,7,8} --> 6,7,15
12[37]: {1,3,4,6,7,8} --> 7,8,15,16
13[39]: {1,2,4,5,7,8} --> 8,9,16,17
14[41]: {1,2,3,5,6} --> 9,10,17
15[50]: {2,3,4,6,7,8} --> 11,12,18
16[52]: {1,3,4,5,7,8} --> 12,13,18,19
17[54]: {1,2,4,5,6} --> 13,14,19
18[66]: {2,3,4,5,7,8} --> 15,16,20
19[68]: {1,3,4,5,6} --> 16,17,20
20[80]: {2,3,4,5,6} --> 18,19

// cell #1:
0[5]: {1,2,3,4,5} --> 10
1[7]: {1,2,3,4,7,8} --> 9,10
2[9]: {1,2,3,6,7,8} --> 8,9
3[11]: {1,2,5,6,7,8} --> 7,8
4[13]: {1,4,5,6,7,8} --> 6,7
5[14]: {3,4,5,6,7,8} --> 6
6[19]: {2,4,5,6,7,8} --> 4,5,11
7[21]: {1,3,5,6,7,8} --> 3,4,11,12
8[23]: {1,2,4,6,7,8} --> 2,3,12,13
9[25]: {1,2,3,5,7,8} --> 1,2,13,14
10[27]: {1,2,3,4,6} --> 0,1,14
11[36]: {2,3,5,6,7,8} --> 6,7,15
12[38]: {1,3,4,6,7,8} --> 7,8,15,16
13[40]: {1,2,4,5,7,8} --> 8,9,16,17
14[42]: {1,2,3,5,6} --> 9,10,17
15[51]: {2,3,4,6,7,8} --> 11,12,18
16[53]: {1,3,4,5,7,8} --> 12,13,18,19
17[55]: {1,2,4,5,6} --> 13,14,19
18[67]: {2,3,4,5,7,8} --> 15,16,20
19[69]: {1,3,4,5,6} --> 16,17,20
20[81]: {2,3,4,5,6} --> 18,19

// cell #2:
0[2]: {1,2,3,4,5,6} --> 3,4,11
1[3]: {1,2,3,4,5,6} --> 2,5,11
2[28]: {1,2,3,4,5,8} --> 1,7
3[29]: {1,2,3,4,5,8} --> 0,8
4[30]: {1,2,3,4,5,7} --> 0,9
5[31]: {1,2,3,4,5,7} --> 1,10
6[32]: {1,2,3,4,5,7,8} --> 2,3,4,5,11,16,17,27
7[43]: {1,2,3,4,6,8} --> 2,11,12,16
8[44]: {1,2,3,4,6,8} --> 3,11,13,17
9[45]: {1,2,3,4,6,7} --> 4,11,14,16
10[46]: {1,2,3,4,6,7} --> 5,11,15,17
11[47]: {1,2,3,4,6} --> 6,18
12[56]: {1,2,3,5,6,8} --> 7,18,20,24
13[57]: {1,2,3,5,6,8} --> 8,18,21,25
14[58]: {1,2,3,5,6,7} --> 9,18,22,24
15[59]: {1,2,3,5,6,7} --> 10,18,23,25
16[60]: {1,2,3,4,7,8} --> 7,9,24
17[61]: {1,2,3,4,7,8} --> 8,10,25
18[62]: {1,2,3,5,6} --> 11,26,27
19[63]: {1,2,3,4,6,7,8} --> 11,16,17,27,28,29,48
20[70]: {1,2,4,5,6,8} --> 12,26,30,34
21[71]: {1,2,4,5,6,8} --> 13,26,31,35
22[72]: {1,2,4,5,6,7} --> 14,26,32,34
23[73]: {1,2,4,5,6,7} --> 15,26,33,35
24[74]: {1,2,3,5,7,8} --> 12,14,16,28,34
25[75]: {1,2,3,5,7,8} --> 13,15,17,29,35
26[76]: {1,2,4,5,6} --> 18,36,38
27[77]: {1,2,3,5,7,8} --> 18,19,38
28[82]: {1,2,3,6,7,8} --> 24,39
29[83]: {1,2,3,6,7,8} --> 25,40
30[84]: {1,3,4,5,6,8} --> 20,36,41,45
31[85]: {1,3,4,5,6,8} --> 21,36,42,46
32[86]: {1,3,4,5,6,7} --> 22,36,43,45
33[87]: {1,3,4,5,6,7} --> 23,36,44,46
34[88]: {1,2,4,5,7,8} --> 20,22,24,39,45
35[89]: {1,2,4,5,7,8} --> 21,23,25,40,46
36[90]: {1,3,4,5,6} --> 26,47,49
37[91]: {1,2,3,5,6,7,8} --> 27,28,29,48,50,51,63
38[92]: {1,2,4,5,7,8} --> 26,27,48,49
39[95]: {1,2,4,6,7,8} --> 28,34,50,52
40[96]: {1,2,4,6,7,8} --> 29,35,51,53
41[97]: {2,3,4,5,6,8} --> 30,47,54
42[98]: {2,3,4,5,6,8} --> 31,47,55
43[99]: {2,3,4,5,6,7} --> 32,47,54
44[100]: {2,3,4,5,6,7} --> 33,47,55
45[101]: {1,3,4,5,7,8} --> 30,32,34,52,54
46[102]: {1,3,4,5,7,8} --> 31,33,35,53,55
47[103]: {2,3,4,5,6} --> 36,58
48[104]: {1,2,4,6,7,8} --> 37,38,57
49[105]: {1,3,4,5,7,8} --> 36,38,57,58
50[106]: {1,2,5,6,7,8} --> 39,59
51[107]: {1,2,5,6,7,8} --> 40,60
52[108]: {1,3,4,6,7,8} --> 39,45,59,61
53[109]: {1,3,4,6,7,8} --> 40,46,60,62
54[114]: {2,3,4,5,7,8} --> 41,43,45,61
55[115]: {2,3,4,5,7,8} --> 42,44,46,62
56[117]: {1,2,4,5,6,7,8} --> 48,50,51,63,65,66,73
57[118]: {1,3,4,6,7,8} --> 48,49,63,64
58[119]: {2,3,4,5,7,8} --> 47,49,64
59[120]: {1,3,5,6,7,8} --> 50,52,65,67
60[121]: {1,3,5,6,7,8} --> 51,53,66,68
61[122]: {2,3,4,6,7,8} --> 52,54,67
62[123]: {2,3,4,6,7,8} --> 53,55,68
63[126]: {1,3,5,6,7,8} --> 56,57,70
64[127]: {2,3,4,6,7,8} --> 57,58,70
65[129]: {1,4,5,6,7,8} --> 59,71
66[130]: {1,4,5,6,7,8} --> 60,72
67[131]: {2,3,5,6,7,8} --> 59,61,71
68[132]: {2,3,5,6,7,8} --> 60,62,72
69[135]: {1,3,4,5,6,7,8} --> 63,65,66,73,74,75
70[136]: {2,3,5,6,7,8} --> 63,64,73
71[138]: {2,4,5,6,7,8} --> 65,67,74
72[139]: {2,4,5,6,7,8} --> 66,68,75
73[142]: {2,4,5,6,7,8} --> 69,70
74[144]: {3,4,5,6,7,8} --> 71
75[145]: {3,4,5,6,7,8} --> 72

// cell #3:
0[12]: {2,3,4,5,6,7,8} --> 1
1[16]: {1,3,4,5,6,7,8} --> 0,2
2[33]: {1,2,4,5,6,7,8} --> 1,3
3[48]: {1,2,3,5,6,7,8} --> 2,4
4[64]: {1,2,3,4,6,7,8} --> 3,5
5[78]: {1,2,3,4,5,7,8} --> 4,6
6[93]: {1,2,3,4,5,6} --> 5

// cell #4:
0[15]: {2,3,4,5,6,7,8} --> 1
1[17]: {1,3,4,5,6,7,8} --> 0,2
2[34]: {1,2,4,5,6,7,8} --> 1,3
3[49]: {1,2,3,5,6,7,8} --> 2,4
4[65]: {1,2,3,4,6,7,8} --> 3,5
5[79]: {1,2,3,4,5,7,8} --> 4,6
6[94]: {1,2,3,4,5,6} --> 5

// cell #5:
0[116]: {1,2,3,4,5,6} --> 1
1[128]: {1,2,3,4,5,7,8} --> 0,2
2[137]: {1,2,3,4,6,7,8} --> 1,3
3[143]: {1,2,3,5,6,7,8} --> 2,5
4[148]: {2,3,4,5,6,7,8} --> 6
5[149]: {1,2,4,5,6,7,8} --> 3,6
6[152]: {1,3,4,5,6,7,8} --> 4,5

// cell #6:
0[110]: {1,2,3,4,5,6,8} --> 2
1[112]: {1,2,3,4,5,6,7} --> 2
2[124]: {1,2,3,4,5,7,8} --> 0,1,3
3[133]: {1,2,3,4,6,7,8} --> 2,4
4[140]: {1,2,3,5,6,7,8} --> 3,5
5[146]: {1,2,4,5,6,7,8} --> 4,6
6[150]: {1,3,4,5,6,7,8} --> 5,7
7[153]: {2,3,4,5,6,7,8} --> 6

// cell #7:
0[111]: {1,2,3,4,5,6,8} --> 2
1[113]: {1,2,3,4,5,6,7} --> 2
2[125]: {1,2,3,4,5,7,8} --> 0,1,3
3[134]: {1,2,3,4,6,7,8} --> 2,4
4[141]: {1,2,3,5,6,7,8} --> 3,5
5[147]: {1,2,4,5,6,7,8} --> 4,6
6[151]: {1,3,4,5,6,7,8} --> 5,7
7[154]: {2,3,4,5,6,7,8} --> 6

// cell #8:
0[155]: {1,2,3,4,5,6,7,8}