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. 2018 Apr 24;3(4):4458–4465. doi: 10.1021/acsomega.8b00277

Table 3. Complete Partition Tablea.

  partition planes
cell 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14
0 –1 1 1 –1 –1 0 –1 –1 1 1 1 –1 1 1 –1
1 –1 1 1 1 –1 1 –1 –1 1 1 1 –1 1 1 0
2 0 1 1 1 –1 1 –1 –1 1 1 1 1 1 1 1
3 1 1 1 0 –1 –1 –1 –1 1 1 1 1 1 1 1
4 1 1 1 –1 –1 –1 –1 –1 1 1 1 0 1 1 –1
5 –1 1 1 –1 –1 –1 –1 –1 1 1 1 –1 –1 0 –1
6 1 1 1 –1 –1 –1 –1 0 1 1 1 –1 –1 1 –1
7 1 1 –1 –1 –1 –1 –1 1 1 1 0 –1 –1 1 –1
8 0 1 –1 –1 –1 –1 –1 1 1 1 –1 –1 –1 –1 –1
9 –1 1 0 –1 –1 –1 –1 –1 1 1 –1 –1 –1 –1 –1
10 –1 1 1 –1 –1 1 –1 –1 1 1 1 –1 0 –1 –1
11 –1 0 1 –1 –1 1 –1 –1 1 1 –1 –1 –1 –1 –1
12 –1 –1 1 0 –1 1 –1 –1 –1 1 –1 –1 –1 –1 –1
13 –1 –1 1 1 –1 1 –1 –1 –1 1 0 –1 1 –1 –1
14 –1 1 1 1 –1 1 –1 –1 0 1 1 –1 1 –1 –1
15 1 1 0 –1 1 –1 –1 1 1 –1 1 1 1 1 1
16 1 1 –1 –1 1 –1 –1 1 1 –1 1 1 –1 1 0
17 1 1 –1 –1 –1 –1 –1 1 1 0 1 1 –1 1 –1
18 1 1 1 –1 –1 –1 –1 1 1 1 1 1 0 1 –1
19 1 1 1 –1 0 –1 –1 1 1 1 1 1 1 1 1
20 1 1 1 1 1 –1 0 1 1 –1 1 1 1 1 1
21 1 1 1 1 1 –1 –1 0 1 1 1 1 1 1 1
22 1 1 1 1 1 1 –1 –1 0 1 1 1 1 1 1
23 1 1 1 1 1 1 1 –1 –1 0 1 1 1 1 1
24 1 1 1 1 1 0 1 1 –1 –1 1 1 1 1 1
25 1 1 –1 0 1 –1 1 1 1 –1 1 1 1 1 1
26 1 0 –1 1 1 –1 1 1 –1 –1 1 1 1 1 1
27 1 –1 –1 1 1 –1 1 1 –1 –1 –1 1 0 1 1
28 1 –1 –1 –1 1 –1 1 1 0 –1 –1 1 –1 1 1
29 1 1 –1 –1 1 –1 1 1 1 –1 0 1 –1 1 1
30 0 –1 –1 –1 1 –1 1 1 –1 –1 –1 –1 –1 –1 –1
31 1 –1 –1 –1 1 –1 1 1 –1 –1 –1 1 –1 –1 0
32 1 –1 –1 1 1 0 1 1 –1 –1 –1 1 –1 –1 1
33 –1 –1 –1 1 1 1 1 1 –1 –1 –1 0 –1 –1 1
34 –1 –1 –1 0 1 1 1 1 –1 –1 –1 –1 –1 –1 –1
35 –1 –1 –1 –1 –1 –1 1 1 0 –1 –1 –1 –1 –1 –1
36 –1 –1 –1 –1 –1 1 1 0 –1 –1 –1 –1 –1 –1 –1
37 –1 –1 –1 –1 –1 1 0 –1 –1 1 –1 –1 –1 –1 –1
38 –1 –1 –1 –1 –1 0 –1 –1 1 1 –1 –1 –1 –1 –1
39 –1 –1 –1 –1 –1 –1 –1 1 1 0 –1 –1 –1 –1 –1
40 1 –1 –1 –1 0 –1 1 1 1 –1 –1 –1 –1 –1 –1
41 1 0 –1 –1 –1 –1 –1 1 1 –1 –1 –1 –1 –1 –1
42 1 1 –1 –1 –1 –1 –1 1 1 –1 –1 0 –1 1 –1
43 1 1 –1 –1 1 –1 0 1 1 –1 –1 1 –1 1 –1
44 1 –1 –1 –1 1 –1 1 1 1 –1 –1 1 –1 0 –1
45 –1 –1 1 1 1 1 1 –1 –1 0 –1 –1 1 –1 1
46 –1 –1 1 1 –1 1 1 –1 –1 1 –1 –1 1 –1 0
47 –1 –1 0 1 –1 1 1 –1 –1 1 –1 –1 –1 –1 –1
48 –1 –1 –1 1 0 1 1 –1 –1 –1 –1 –1 –1 –1 –1
49 –1 –1 –1 1 1 1 1 –1 –1 –1 –1 –1 0 –1 1
50 –1 –1 1 1 1 1 1 –1 –1 –1 0 1 1 –1 1
51 –1 –1 –1 1 1 1 1 0 –1 –1 –1 1 1 –1 1
52 1 –1 –1 1 1 1 1 1 –1 –1 –1 1 1 0 1
53 1 –1 0 1 1 1 1 1 –1 –1 1 1 1 1 1
54 0 –1 1 1 1 1 1 –1 –1 –1 1 1 1 1 1
55 –1 –1 1 1 1 1 1 –1 –1 1 1 0 1 –1 1
56 –1 0 1 1 1 1 1 –1 –1 1 1 1 1 1 1
57 –1 1 1 1 0 1 –1 –1 –1 1 1 1 1 1 1
58 –1 1 1 1 –1 1 –1 –1 –1 1 1 –1 1 0 1
59 –1 –1 1 1 –1 1 0 –1 –1 1 1 –1 1 –1 1
a

The numbers 1 and −1 denote the upward and downward directions of the planes, respectively. The number 0 denotes both directions. The direction of the normal vectors in Table 1 is defined to indicate the upward direction.