spacegroup-sym.yml

# A collection that lists the symmetry operations for each of the 230
# crystallographic space groups

1:
2:
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, -1]]
3:
  1:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
4:
  1:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
    T: [0, 0.5, 0]
5:
  +:
    - [0.5, 0.5, 0]
  1:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
6:
  1:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
7:
  1:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
8:
  +:
    - [0.5, 0.5, 0]
  1:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
9:
  +:
    - [0.5, 0.5, 0]
  1:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
10:
  1:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
  2:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, -1]]
  3:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
11:
  1:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
    T: [0, 0.5, 0]
  2:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, -1]]
  3:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0, 0.5, 0]
12:
  +:
    - [0.5, 0.5, 0]
  1:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
  2:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, -1]]
  3:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
13:
  1:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
    T: [0, 0, 0.5]
  2:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, -1]]
  3:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
14:
  1:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
    T: [0, 0.5, 0.5]
  2:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, -1]]
  3:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0, 0.5, 0.5]
15:
  +:
    - [0.5, 0.5, 0]
  1:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
    T: [0, 0, 0.5]
  2:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, -1]]
  3:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
16:
  1:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
  2:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
  3:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
17:
  1:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
  2:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
    T: [0, 0, 0.5]
  3:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
18:
  1:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
    T: [0.5, 0.5, 0]
  2:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
    T: [0.5, 0.5, 0]
  3:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
19:
  1:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
    T: [0.5, 0.5, 0]
  2:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
    T: [0, 0.5, 0.5]
  3:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0.5, 0, 0.5]
20:
  +:
    - [0.5, 0.5, 0]
  1:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
  2:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
    T: [0, 0, 0.5]
  3:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
21:
  +:
    - [0.5, 0.5, 0]
  1:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
  2:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
  3:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
22:
  +:
    - [0, 0.5, 0.5]
    - [0.5, 0, 0.5]
    - [0.5, 0.5, 0]
  1:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
  2:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
  3:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
23:
  +:
    - [0.5, 0.5, 0.5]
  1:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
  2:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
  3:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
24:
  +:
    - [0.5, 0.5, 0.5]
  1:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
    T: [0, 0, 0.5]
  2:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
    T: [0.5, 0, 0]
  3:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0, 0.5, 0]
25:
  1:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
  2:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
  3:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
26:
  1:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
  2:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  3:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
27:
  1:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  2:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  3:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
28:
  1:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
    T: [0.5, 0, 0]
  2:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0.5, 0, 0]
  3:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
29:
  1:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
    T: [0.5, 0, 0.5]
  2:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0.5, 0, 0]
  3:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
30:
  1:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
    T: [0, 0.5, 0.5]
  2:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0, 0.5, 0.5]
  3:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
31:
  1:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
  2:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0.5, 0, 0.5]
  3:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0.5, 0, 0.5]
32:
  1:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0]
  2:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0]
  3:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
33:
  1:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0.5]
  2:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0]
  3:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
34:
  1:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0.5]
  2:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0.5]
  3:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
35:
  +:
    - [0.5, 0.5, 0]
  1:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
  2:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
  3:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
36:
  +:
    - [0.5, 0.5, 0]
  1:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
  2:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  3:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
37:
  +:
    - [0.5, 0.5, 0]
  1:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  2:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  3:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
38:
  +:
    - [0, 0.5, 0.5]
  1:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
  2:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
  3:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
39:
  +:
    - [0, 0.5, 0.5]
  1:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
    T: [0, 0.5, 0]
  2:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0, 0.5, 0]
  3:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
40:
  +:
    - [0, 0.5, 0.5]
  1:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
    T: [0.5, 0, 0]
  2:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0.5, 0, 0]
  3:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
41:
  +:
    - [0, 0.5, 0.5]
  1:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0]
  2:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0]
  3:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
42:
  +:
    - [0, 0.5, 0.5]
    - [0.5, 0, 0.5]
    - [0.5, 0.5, 0]
  1:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
  2:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
  3:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
43:
  +:
    - [0, 0.5, 0.5]
    - [0.5, 0, 0.5]
    - [0.5, 0.5, 0]
  1:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
    T: [0.25, 0.25, 0.25]
  2:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0.25, 0.25, 0.25]
  3:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
44:
  +:
    - [0.5, 0.5, 0.5]
  1:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
  2:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
  3:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
45:
  +:
    - [0.5, 0.5, 0.5]
  1:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  2: 
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  3:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
46:
  +:
    - [0.5, 0.5, 0.5]
  1:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
    T: [0.5, 0, 0]
  2:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0.5, 0, 0]
  3:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
47:
  1:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
  2:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
  3:
    M: [[1, 0, 0], [0, 1, 0], [0, 0, -1]]
  4:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, -1]]
  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
  6:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
  7:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
48:
  1:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0.5]
  2:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0.5]
  3:
    M: [[1, 0, 0], [0, 1, 0], [0, 0, -1]]
    T: [0.5, 0.5, 0.5]
  4:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, -1]]
    T: [0.5, 0.5, 0.5]
  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
  6:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
  7:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
49:
  1:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  2:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  3:
    M: [[1, 0, 0], [0, 1, 0], [0, 0, -1]]
  4:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, -1]]
  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
    T: [0, 0, 0.5]
  6:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
    T: [0, 0, 0.5]
  7:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
50:
  1:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0]
  2:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0]
  3:
    M: [[1, 0, 0], [0, 1, 0], [0, 0, -1]]
    T: [0.5, 0.5, 0]
  4:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, -1]]
    T: [0.5, 0.5, 0]
  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
  6:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
  7:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
51:
  1:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
    T: [0.5, 0, 0]
  2:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
  3:
    M: [[1, 0, 0], [0, 1, 0], [0, 0, -1]]
    T: [0.5, 0, 0]
  4:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, -1]]
  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
    T: [0.5, 0, 0]
  6:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
  7:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0.5, 0, 0]
52:
  1:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
    T: [0, 0.5, 0.5]
  2:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0.5]
  3:
    M: [[1, 0, 0], [0, 1, 0], [0, 0, -1]]
    T: [0.5, 0, 0]
  4:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, -1]]
  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
    T: [0, 0.5, 0.5]
  6:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
    T: [0.5, 0.5, 0.5]
  7:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0.5, 0, 0]
53:
  1:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
  2:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0.5, 0, 0.5]
  3:
    M: [[1, 0, 0], [0, 1, 0], [0, 0, -1]]
    T: [0.5, 0, 0.5]
  4:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, -1]]
  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
  6:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
    T: [0.5, 0, 0.5]
  7:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0.5, 0, 0.5]
54:
  1:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
    T: [0.5, 0, 0.5]
  2:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  3:
    M: [[1, 0, 0], [0, 1, 0], [0, 0, -1]]
    T: [0.5, 0, 0]
  4:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, -1]]
  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
    T: [0.5, 0, 0.5]
  6:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
    T: [0, 0, 0.5]
  7:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0.5, 0, 0]
55:
  1:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0]
  2:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0]
  3:
    M: [[1, 0, 0], [0, 1, 0], [0, 0, -1]]
  4:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, -1]]
  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
    T: [0.5, 0.5, 0]
  6:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
    T: [0.5, 0.5, 0]
  7:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
56:
  1:
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  1:
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76:
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77:
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78:
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79:
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80:
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  1:
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81:
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82:
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83:
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84:
  1:
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85:
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86:
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  4:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, -1]]
  5:
    M: [[1, 0, 0], [0, 1, 0], [0, 0, -1]]
  6:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, -1]]
  7:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, -1]]
88:
  +:
    - [0.5, 0.5, 0.5]
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0, 0.5, 0.25]
  3:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0, 0.5, 0.25]
  4:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, -1]]
    T: [0, 0.5, 0.25]
  5:
    M: [[1, 0, 0], [0, 1, 0], [0, 0, -1]]
    T: [0, 0.5, 0.25]
  6:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, -1]]
  7:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, -1]]
89:
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, 1]]
  3:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, 1]]
  4:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
  5:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
  6:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
  7:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, -1]]
90:
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0]
  3:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0]
  4:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
    T: [0.5, 0.5, 0]
  5:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
    T: [0.5, 0.5, 0]
  6:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
  7:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, -1]]
91:
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  2:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0, 0, 0.25]
  3:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0, 0, 0.75]
  4:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
    T: [0, 0, 0.5]
  5:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
  6:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
    T: [0, 0, 0.25]
  7:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, -1]]
    T: [0, 0, 0.75]
92:
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  2:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0.25]
  3:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0.75]
  4:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
    T: [0.5, 0.5, 0.75]
  5:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0.25]
  6:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
    T: [0, 0, 0.5]
  7:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, -1]]
93:
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  3:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  4:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
  5:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
  6:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
    T: [0, 0, 0.5]
  7:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, -1]]
    T: [0, 0, 0.5]
94:
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0.5]
  3:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0.5]
  4:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
    T: [0.5, 0.5, 0.5]
  5:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
    T: [0.5, 0.5, 0.5]
  6:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
  7:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, -1]]
95:
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  2:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0, 0, 0.75]
  3:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0, 0, 0.25]
  4:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
    T: [0, 0, 0.5]
  5:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
  6:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
    T: [0, 0, 0.75]
  7:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, -1]]
    T: [0, 0, 0.25]
96:
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  2:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0.75]
  3:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0.25]
  4:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
    T: [0.5, 0.5, 0.25]
  5:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
    T: [0.5, 0.5, 0.75]
  6:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
    T: [0, 0, 0.5]
  7:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, -1]]
97:
  +:
    - [0.5, 0.5, 0.5]
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, 1]]
  3:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, 1]]
  4:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
  5:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
  6:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
  7:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, -1]]
98:
  +:
    - [0.5, 0.5, 0.5]
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0, 0.5, 0.25]
  3:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0, 0.5, 0.25]
  4:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
    T: [0, 0.5, 0.25]
  5:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
    T: [0, 0.5, 0.25]
  6:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
  7:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, -1]]
99:
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, 1]]
  3:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, 1]]
  4:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
  6:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, 1]]
  7:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, 1]]
100:
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, 1]]
  3:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, 1]]
  4:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0]
  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0]
  6:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0]
  7:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0]
101:
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  3:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  4:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  6:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, 1]]
  7:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, 1]]
102:
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0.5]
  3:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0.5]
  4:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0.5]
  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0.5]
  6:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, 1]]
  7:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, 1]]
103:
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, 1]]
  3:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, 1]]
  4:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  6:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  7:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
104:
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, 1]]
  3:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, 1]]
  4:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0.5]
  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0.5]
  6:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0.5]
  7:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0.5]
105:
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  3:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  4:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
  6:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  7:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
106:
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  3:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  4:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0]
  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0]
  6:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0.5]
  7:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0.5]
107:
  +:
    - [0.5, 0.5, 0.5]
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, 1]]
  3:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, 1]]
  4:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
  6:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, 1]]
  7:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, 1]]
108:
  +:
    - [0.5, 0.5, 0.5]
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, 1]]
  3:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, 1]]
  4:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  6:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  7:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
109:
  +:
    - [0.5, 0.5, 0.5]
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0, 0.5, 0.25]
  3:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0, 0.5, 0.25]
  4:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
  6:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0, 0.5, 0.25]
  7:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0, 0.5, 0.25]
110:
  +:
    - [0.5, 0.5, 0.5]
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0, 0.5, 0.25]
  3:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0, 0.5, 0.25]
  4:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  6:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0.5, 0, 0.25]
  7:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0.5, 0, 0.25]
111:
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, -1]]
  3:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, -1]]
  4:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
  5:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
  6:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, 1]]
  7:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, 1]]
112:
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, -1]]
  3:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, -1]]
  4:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
    T: [0, 0, 0.5]
  5:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
    T: [0, 0, 0.5]
  6:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  7:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
113:
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, -1]]
  3:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, -1]]
  4:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
    T: [0.5, 0.5, 0]
  5:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
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  6:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0]
  7:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0]
114:
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, -1]]
  3:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, -1]]
  4:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
    T: [0.5, 0.5, 0.5]
  5:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
    T: [0.5, 0.5, 0.5]
  6:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0.5]
  7:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0.5]
115:
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, -1]]
  3:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, -1]]
  4:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
  6:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
  7:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, -1]]
116:
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, -1]]
  3:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, -1]]
  4:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  6:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
    T: [0, 0, 0.5]
  7:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, -1]]
    T: [0, 0, 0.5]
117:
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, -1]]
  3:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, -1]]
  4:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0]
  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0]
  6:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
    T: [0.5, 0.5, 0]
  7:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, -1]]
    T: [0.5, 0.5, 0]
118:
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, -1]]
  3:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, -1]]
  4:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0.5]
  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0.5]
  6:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
    T: [0.5, 0.5, 0.5]
  7:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, -1]]
    T: [0.5, 0.5, 0.5]
119:
  +:
    - [0.5, 0.5, 0.5]
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, -1]]
  3:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, -1]]
  4:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
  6:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
  7:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, -1]]
120:
  +:
    - [0.5, 0.5, 0.5]
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, -1]]
  3:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, -1]]
  4:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  6:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
    T: [0, 0, 0.5]
  7:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, -1]]
    T: [0, 0, 0.5]
121:
  +:
    - [0.5, 0.5, 0.5]
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, -1]]
  3:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, -1]]
  4:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
  5:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
  6:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, 1]]
  7:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, 1]]
122:
  +:
    - [0.5, 0.5, 0.5]
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, -1]]
  3:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, -1]]
  4:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
    T: [0, 0.5, 0.25]
  5:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
    T: [0, 0.5, 0.25]
  6:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0, 0.5, 0.25]
  7:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0, 0.5, 0.25]
123:
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, 1]]
  3:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, 1]]
  4:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
  6:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, 1]]
  7:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, 1]]
  8:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, -1]]
  9:
    M: [[1, 0, 0], [0, 1, 0], [0, 0, -1]]
  10:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, -1]]
  11:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, -1]]
  12:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
  13:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
  14:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
  15:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, -1]]
124:
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, 1]]
  3:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, 1]]
  4:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  6:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  7:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  8:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, -1]]
  9:
    M: [[1, 0, 0], [0, 1, 0], [0, 0, -1]]
  10:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, -1]]
  11:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, -1]]
  12:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
    T: [0, 0, 0.5]
  13:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
    T: [0, 0, 0.5]
  14:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
    T: [0, 0, 0.5]
  15:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, -1]]
    T: [0, 0, 0.5]
125:
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, 1]]
  3:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, 1]]
  4:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0]
  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0]
  6:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0]
  7:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0]
  8:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, -1]]
    T: [0.5, 0.5, 0]
  9:
    M: [[1, 0, 0], [0, 1, 0], [0, 0, -1]]
    T: [0.5, 0.5, 0]
  10:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, -1]]
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  11:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, -1]]
    T: [0.5, 0.5, 0]
  12:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
  13:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
  14:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
  15:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, -1]]
126:
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, 1]]
  3:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, 1]]
  4:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0.5]
  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0.5]
  6:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0.5]
  7:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, 1]]
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  8:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, -1]]
    T: [0.5, 0.5, 0.5]
  9:
    M: [[1, 0, 0], [0, 1, 0], [0, 0, -1]]
    T: [0.5, 0.5, 0.5]
  10:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, -1]]
    T: [0.5, 0.5, 0.5]
  11:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, -1]]
    T: [0.5, 0.5, 0.5]
  12:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
  13:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
  14:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
  15:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, -1]]
127:
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, 1]]
  3:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, 1]]
  4:
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    T: [0.5, 0.5, 0]
  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
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  6:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, 1]]
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  7:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, 1]]
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  8:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, -1]]
  9:
    M: [[1, 0, 0], [0, 1, 0], [0, 0, -1]]
  10:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, -1]]
  11:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, -1]]
  12:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
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  13:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
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  14:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
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  15:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, -1]]
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128:
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, 1]]
  3:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, 1]]
  4:
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  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0.5]
  6:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0.5]
  7:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, 1]]
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  8:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, -1]]
  9:
    M: [[1, 0, 0], [0, 1, 0], [0, 0, -1]]
  10:
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  11:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, -1]]
  12:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
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  13:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
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  14:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
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  15:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, -1]]
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129:
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, 1]]
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  3:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, 1]]
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  4:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
  6:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0]
  7:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0]
  8:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, -1]]
    T: [0.5, 0.5, 0]
  9:
    M: [[1, 0, 0], [0, 1, 0], [0, 0, -1]]
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  10:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, -1]]
  11:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, -1]]
  12:
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  13:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
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  14:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
  15:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, -1]]
130:
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, 1]]
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  3:
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  4:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
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  5:
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  6:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0.5]
  7:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0.5]
  8:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, -1]]
    T: [0.5, 0.5, 0]
  9:
    M: [[1, 0, 0], [0, 1, 0], [0, 0, -1]]
    T: [0.5, 0.5, 0]
  10:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, -1]]
  11:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, -1]]
  12:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
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  13:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
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  14:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
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  15:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, -1]]
    T: [0, 0, 0.5]
131:
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
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  3:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, 1]]
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  4:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
  6:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  7:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  8:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, -1]]
  9:
    M: [[1, 0, 0], [0, 1, 0], [0, 0, -1]]
  10:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, -1]]
    T: [0, 0, 0.5]
  11:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, -1]]
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  12:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
  13:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
  14:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
    T: [0, 0, 0.5]
  15:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, -1]]
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132:
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, 1]]
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  3:
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  4:
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  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
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  6:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, 1]]
  7:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, 1]]
  8:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, -1]]
  9:
    M: [[1, 0, 0], [0, 1, 0], [0, 0, -1]]
  10:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, -1]]
    T: [0, 0, 0.5]
  11:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, -1]]
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  12:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
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  13:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
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  14:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
  15:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, -1]]
133:
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
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  3:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0.5]
  4:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
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  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
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  6:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, 1]]
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  7:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, 1]]
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  8:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, -1]]
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  9:
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  10:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, -1]]
  11:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, -1]]
  12:
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  13:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
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  14:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
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  15:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, -1]]
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134:
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, 1]]
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  3:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0.5]
  4:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0.5]
  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
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  6:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, 1]]
  7:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, 1]]
  8:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, -1]]
    T: [0.5, 0.5, 0.5]
  9:
    M: [[1, 0, 0], [0, 1, 0], [0, 0, -1]]
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  10:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, -1]]
  11:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, -1]]
  12:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
  13:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
  14:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
    T: [0.5, 0.5, 0.5]
  15:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, -1]]
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135:
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  3:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, 1]]
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  4:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
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  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
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  6:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0.5]
  7:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, 1]]
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  8:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, -1]]
  9:
    M: [[1, 0, 0], [0, 1, 0], [0, 0, -1]]
  10:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, -1]]
    T: [0, 0, 0.5]
  11:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, -1]]
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  12:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
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  13:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
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  14:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
    T: [0.5, 0.5, 0.5]
  15:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, -1]]
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136:
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0.5]
  3:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0.5]
  4:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0.5]
  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
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  6:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, 1]]
  7:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, 1]]
  8:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, -1]]
  9:
    M: [[1, 0, 0], [0, 1, 0], [0, 0, -1]]
  10:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, -1]]
    T: [0.5, 0.5, 0.5]
  11:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, -1]]
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  12:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
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  13:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
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  14:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
  15:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, -1]]
137:
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, 1]]
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  3:
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  4:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
  6:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0.5]
  7:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, 1]]
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  8:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, -1]]
    T: [0.5, 0.5, 0.5]
  9:
    M: [[1, 0, 0], [0, 1, 0], [0, 0, -1]]
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  10:
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  11:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, -1]]
  12:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
    T: [0.5, 0.5, 0.5]
  13:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
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  14:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
  15:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, -1]]
138:
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, 1]]
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  3:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, 1]]
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  4:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
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  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
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  6:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0.5, 0.5, 0]
  7:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, 1]]
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  8:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, -1]]
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  9:
    M: [[1, 0, 0], [0, 1, 0], [0, 0, -1]]
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  10:
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  11:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, -1]]
  12:
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  13:
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  14:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
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  15:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, -1]]
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139:
  +:
    - [0.5, 0.5, 0.5]
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, 1]]
  3:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, 1]]
  4:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
  5:
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  6:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, 1]]
  7:
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  8:
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  9:
    M: [[1, 0, 0], [0, 1, 0], [0, 0, -1]]
  10:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, -1]]
  11:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, -1]]
  12:
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  13:
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  14:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
  15:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, -1]]
140:
  +:
    - [0.5, 0.5, 0.5]
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, 1]]
  3:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, 1]]
  4:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
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  6:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  7:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  8:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, -1]]
  9:
    M: [[1, 0, 0], [0, 1, 0], [0, 0, -1]]
  10:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, -1]]
  11:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, -1]]
  12:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
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  13:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
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  14:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
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  15:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, -1]]
    T: [0, 0, 0.5]
141:
  +:
    - [0.5, 0.5, 0.5]
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0, 0.5, 0.25]
  3:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0, 0.5, 0.25]
  4:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
  6:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0, 0.5, 0.25]
  7:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0, 0.5, 0.25]
  8:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, -1]]
    T: [0, 0.5, 0.25]
  9:
    M: [[1, 0, 0], [0, 1, 0], [0, 0, -1]]
    T: [0, 0.5, 0.25]
  10:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, -1]]
  11:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, -1]]
  12:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
    T: [0, 0.5, 0.25]
  13:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
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  14:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
  15:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, -1]]
142:
  +:
    - [0.5, 0.5, 0.5]
  1:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  2:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0, 0.5, 0.25]
  3:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0, 0.5, 0.25]
  4:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  5:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  6:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0.5, 0, 0.25]
  7:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0.5, 0, 0.25]
  8:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, -1]]
    T: [0, 0.5, 0.25]
  9:
    M: [[1, 0, 0], [0, 1, 0], [0, 0, -1]]
    T: [0, 0.5, 0.25]
  10:
    M: [[0, 1, 0], [-1, 0, 0], [0, 0, -1]]
  11:
    M: [[0, -1, 0], [1, 0, 0], [0, 0, -1]]
  12:
    M: [[1, 0, 0], [0, -1, 0], [0, 0, -1]]
    T: [0.5, 0, 0.25]
  13:
    M: [[-1, 0, 0], [0, 1, 0], [0, 0, -1]]
    T: [0.5, 0, 0.25]
  14:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
    T: [0, 0, 0.5]
  15:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, -1]]
    T: [0, 0, 0.5]
143:
  1:
    M: [[0, -1, 0], [1, -1, 0], [0, 0, 1]]
  2:
    M: [[-1, 1, 0], [-1, 0, 0], [0, 0, 1]]
144:
  1:
    M: [[0, -1, 0], [1, -1, 0], [0, 0, 1]]
    T: [0, 0, 0.3333333333]
  2:
    M: [[-1, 1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0, 0, 0.6666666667]
145:
  1:
    M: [[0, -1, 0], [1, -1, 0], [0, 0, 1]]
    T: [0, 0, 0.6666666667]
  2:
    M: [[-1, 1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0, 0, 0.3333333333]
146:
  1:
    M: [[0, 0, 1], [1, 0, 0], [0, 1, 0]]
  2:
    M: [[0, 1, 0], [0, 0, 1], [1, 0, 0]]
147:
  1:
    M: [[0, -1, 0], [1, -1, 0], [0, 0, 1]]
  2:
    M: [[-1, 1, 0], [-1, 0, 0], [0, 0, 1]]
  3:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, -1]]
  4:
    M: [[0, 1, 0], [-1, 1, 0], [0, 0, -1]]
  5:
    M: [[1, -1, 0], [1, 0, 0], [0, 0, -1]]
148:
  1:
    M: [[0, 0, 1], [1, 0, 0], [0, 1, 0]]
  2:
    M: [[0, 1, 0], [0, 0, 1], [1, 0, 0]]
  3:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, -1]]
  4:
    M: [[0, 0, -1], [-1, 0, 0], [0, -1, 0]]
  5:
    M: [[0, -1, 0], [0, 0, -1], [-1, 0, 0]]
149:
  1:
    M: [[0, -1, 0], [1, -1, 0], [0, 0, 1]]
  2:
    M: [[-1, 1, 0], [-1, 0, 0], [0, 0, 1]]
  3:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
  4:
    M: [[-1, 1, 0], [0, 1, 0], [0, 0, -1]]
  5:
    M: [[1, 0, 0], [1, -1, 0], [0, 0, -1]]
150:
  1:
    M: [[0, -1, 0], [1, -1, 0], [0, 0, 1]]
  2:
    M: [[-1, 1, 0], [-1, 0, 0], [0, 0, 1]]
  3:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, -1]]
  4:
    M: [[1, -1, 0], [0, -1, 0], [0, 0, -1]]
  5:
    M: [[-1, 0, 0], [-1, 1, 0], [0, 0, -1]]
151:
  1:
    M: [[0, -1, 0], [1, -1, 0], [0, 0, 1]]
    T: [0, 0, 0.3333333333]
  2:
    M: [[-1, 1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0, 0, 0.6666666667]
  3:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
    T: [0, 0, 0.6666666667]
  4:
    M: [[-1, 1, 0], [0, 1, 0], [0, 0, -1]]
    T: [0, 0, 0.3333333333]
  5:
    M: [[1, 0, 0], [1, -1, 0], [0, 0, -1]]
152:
  1:
    M: [[0, -1, 0], [1, -1, 0], [0, 0, 1]]
    T: [0, 0, 0.3333333333]
  2:
    M: [[-1, 1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0, 0, 0.6666666667]
  3:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, -1]]
  4:
    M: [[1, -1, 0], [0, -1, 0], [0, 0, -1]]
    T: [0, 0, 0.6666666667]
  5:
    M: [[-1, 0, 0], [-1, 1, 0], [0, 0, -1]]
    T: [0, 0, 0.3333333333]
153:
  1:
    M: [[0, -1, 0], [1, -1, 0], [0, 0, 1]]
    T: [0, 0, 0.6666666667]
  2:
    M: [[-1, 1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0, 0, 0.3333333333]
  3:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
    T: [0, 0, 0.3333333333]
  4:
    M: [[-1, 1, 0], [0, 1, 0], [0, 0, -1]]
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    M: [[1, 0, 0], [1, -1, 0], [0, 0, -1]]
154:
  1:
    M: [[0, -1, 0], [1, -1, 0], [0, 0, 1]]
    T: [0, 0, 0.6666666667]
  2:
    M: [[-1, 1, 0], [-1, 0, 0], [0, 0, 1]]
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    M: [[0, 1, 0], [1, 0, 0], [0, 0, -1]]
  4:
    M: [[1, -1, 0], [0, -1, 0], [0, 0, -1]]
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  5:
    M: [[-1, 0, 0], [-1, 1, 0], [0, 0, -1]]
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155:
  1:
    M: [[0, 0, 1], [1, 0, 0], [0, 1, 0]]
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    M: [[0, 1, 0], [0, 0, 1], [1, 0, 0]]
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    M: [[0, 0, -1], [0, -1, 0], [-1, 0, 0]]
  5:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
156:
  1:
    M: [[0, -1, 0], [1, -1, 0], [0, 0, 1]]
  2:
    M: [[-1, 1, 0], [-1, 0, 0], [0, 0, 1]]
  3:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, 1]]
  4:
    M: [[-1, 1, 0], [0, 1, 0], [0, 0, 1]]
  5:
    M: [[1, 0, 0], [1, -1, 0], [0, 0, 1]]
157:
  1:
    M: [[0, -1, 0], [1, -1, 0], [0, 0, 1]]
  2:
    M: [[-1, 1, 0], [-1, 0, 0], [0, 0, 1]]
  3:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, 1]]
  4:
    M: [[1, -1, 0], [0, -1, 0], [0, 0, 1]]
  5:
    M: [[-1, 0, 0], [-1, 1, 0], [0, 0, 1]]
158:
  1:
    M: [[0, -1, 0], [1, -1, 0], [0, 0, 1]]
  2:
    M: [[-1, 1, 0], [-1, 0, 0], [0, 0, 1]]
  3:
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  5:
    M: [[1, 0, 0], [1, -1, 0], [0, 0, 1]]
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159:
  1:
    M: [[0, -1, 0], [1, -1, 0], [0, 0, 1]]
  2:
    M: [[-1, 1, 0], [-1, 0, 0], [0, 0, 1]]
  3:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  4:
    M: [[1, -1, 0], [0, -1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  5:
    M: [[-1, 0, 0], [-1, 1, 0], [0, 0, 1]]
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160:
  1:
    M: [[0, 0, 1], [1, 0, 0], [0, 1, 0]]
  2:
    M: [[0, 1, 0], [0, 0, 1], [1, 0, 0]]
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    M: [[1, 0, 0], [0, 0, 1], [0, 1, 0]]
  4:
    M: [[0, 0, 1], [0, 1, 0], [1, 0, 0]]
  5:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, 1]]
161:
  1:
    M: [[0, 0, 1], [1, 0, 0], [0, 1, 0]]
  2:
    M: [[0, 1, 0], [0, 0, 1], [1, 0, 0]]
  3:
    M: [[1, 0, 0], [0, 0, 1], [0, 1, 0]]
    T: [0.5, 0.5, 0.5]
  4:
    M: [[0, 0, 1], [0, 1, 0], [1, 0, 0]]
    T: [0.5, 0.5, 0.5]
  5:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, 1]]
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162:
  1:
    M: [[0, -1, 0], [1, -1, 0], [0, 0, 1]]
  2:
    M: [[-1, 1, 0], [-1, 0, 0], [0, 0, 1]]
  3:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, 1]]
  4:
    M: [[1, -1, 0], [0, -1, 0], [0, 0, 1]]
  5:
    M: [[-1, 0, 0], [-1, 1, 0], [0, 0, 1]]
  6:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, -1]]
  7:
    M: [[0, 1, 0], [-1, 1, 0], [0, 0, -1]]
  8:
    M: [[1, -1, 0], [1, 0, 0], [0, 0, -1]]
  9:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
  10:
    M: [[-1, 1, 0], [0, 1, 0], [0, 0, -1]]
  11:
    M: [[1, 0, 0], [1, -1, 0], [0, 0, -1]]
163:
  1:
    M: [[0, -1, 0], [1, -1, 0], [0, 0, 1]]
  2:
    M: [[-1, 1, 0], [-1, 0, 0], [0, 0, 1]]
  3:
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  4:
    M: [[1, -1, 0], [0, -1, 0], [0, 0, 1]]
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  5:
    M: [[-1, 0, 0], [-1, 1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  6:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, -1]]
  7:
    M: [[0, 1, 0], [-1, 1, 0], [0, 0, -1]]
  8:
    M: [[1, -1, 0], [1, 0, 0], [0, 0, -1]]
  9:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
    T: [0, 0, 0.5]
  10:
    M: [[-1, 1, 0], [0, 1, 0], [0, 0, -1]]
    T: [0, 0, 0.5]
  11:
    M: [[1, 0, 0], [1, -1, 0], [0, 0, -1]]
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164:
  1:
    M: [[0, -1, 0], [1, -1, 0], [0, 0, 1]]
  2:
    M: [[-1, 1, 0], [-1, 0, 0], [0, 0, 1]]
  3:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, 1]]
  4:
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  5:
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  6:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, -1]]
  7:
    M: [[0, 1, 0], [-1, 1, 0], [0, 0, -1]]
  8:
    M: [[1, -1, 0], [1, 0, 0], [0, 0, -1]]
  9:
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  10:
    M: [[1, -1, 0], [0, -1, 0], [0, 0, -1]]
  11:
    M: [[-1, 0, 0], [-1, 1, 0], [0, 0, -1]]
165:
  1:
    M: [[0, -1, 0], [1, -1, 0], [0, 0, 1]]
  2:
    M: [[-1, 1, 0], [-1, 0, 0], [0, 0, 1]]
  3:
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  4:
    M: [[-1, 1, 0], [0, 1, 0], [0, 0, 1]]
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  5:
    M: [[1, 0, 0], [1, -1, 0], [0, 0, 1]]
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  6:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, -1]]
  7:
    M: [[0, 1, 0], [-1, 1, 0], [0, 0, -1]]
  8:
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  9:
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  10:
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  11:
    M: [[-1, 0, 0], [-1, 1, 0], [0, 0, -1]]
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166:
  1:
    M: [[0, 0, 1], [1, 0, 0], [0, 1, 0]]
  2:
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  3:
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  4:
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  5:
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  6:
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  7:
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  8:
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  9:
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  10:
    M: [[0, 0, -1], [0, -1, 0], [-1, 0, 0]]
  11:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
167:
  1:
    M: [[0, 0, 1], [1, 0, 0], [0, 1, 0]]
  2:
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  3:
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  4:
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  5:
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  6:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, -1]]
  7:
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  8:
    M: [[0, -1, 0], [0, 0, -1], [-1, 0, 0]]
  9:
    M: [[-1, 0, 0], [0, 0, -1], [0, -1, 0]]
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  10:
    M: [[0, 0, -1], [0, -1, 0], [-1, 0, 0]]
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  11:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
    T: [0.5, 0.5, 0.5]
168:
  1:
    M: [[0, -1, 0], [1, -1, 0], [0, 0, 1]]
  2:
    M: [[-1, 1, 0], [-1, 0, 0], [0, 0, 1]]
  3:
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  4:
    M: [[1, -1, 0], [1, 0, 0], [0, 0, 1]]
  5:
    M: [[0, 1, 0], [-1, 1, 0], [0, 0, 1]]
169:
  1:
    M: [[0, -1, 0], [1, -1, 0], [0, 0, 1]]
    T: [0, 0, 0.3333333333]
  2:
    M: [[-1, 1, 0], [-1, 0, 0], [0, 0, 1]]
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  3:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  4:
    M: [[1, -1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0, 0, 0.1666666667]
  5:
    M: [[0, 1, 0], [-1, 1, 0], [0, 0, 1]]
    T: [0, 0, 0.8333333333]
170:
  1:
    M: [[0, -1, 0], [1, -1, 0], [0, 0, 1]]
    T: [0, 0, 0.66666666672]
  2:
    M: [[-1, 1, 0], [-1, 0, 0], [0, 0, 1]]
    T: [0, 0, 0.3333333333]
  3:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  4:
    M: [[1, -1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0, 0, 0.8333333333]
  5:
    M: [[0, 1, 0], [-1, 1, 0], [0, 0, 1]]
    T: [0, 0, 0.1666666667]
171:
  1:
    M: [[0, -1, 0], [1, -1, 0], [0, 0, 1]]
    T: [0, 0, 0.6666666667]
  2:
    M: [[-1, 1, 0], [-1, 0, 0], [0, 0, 1]]
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  3:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  4:
    M: [[1, -1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0, 0, 0.3333333333]
  5:
    M: [[0, 1, 0], [-1, 1, 0], [0, 0, 1]]
    T: [0, 0, 0.6666666667]
172:
  1:
    M: [[0, -1, 0], [1, -1, 0], [0, 0, 1]]
    T: [0, 0, 0.3333333333]
  2:
    M: [[-1, 1, 0], [-1, 0, 0], [0, 0, 1]]
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  3:
    M: [[-1, 0, 0], [0, -1, 0], [0, 0, 1]]
  4:
    M: [[1, -1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0, 0, 0.6666666667]
  5:
    M: [[0, 1, 0], [-1, 1, 0], [0, 0, 1]]
    T: [0, 0, 0.3333333333]
173:
  1:
    M: [[0, -1, 0], [1, -1, 0], [0, 0, 1]]
  2:
    M: [[-1, 1, 0], [-1, 0, 0], [0, 0, 1]]
  3:
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    T: [0, 0, 0.5]
  4:
    M: [[1, -1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0, 0, 0.5]
  5:
    M: [[0, 1, 0], [-1, 1, 0], [0, 0, 1]]
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174:
  1:
    M: [[0, -1, 0], [1, -1, 0], [0, 0, 1]]
  2:
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  3:
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  4:
    M: [[-1, 1, 0], [-1, 0, 0], [0, 0, -1]]
  5:
    M: [[0, -1, 0], [1, -1, 0], [0, 0, -1]]
175:
  1:
    M: [[0, -1, 0], [1, -1, 0], [0, 0, 1]]
  2:
    M: [[-1, 1, 0], [-1, 0, 0], [0, 0, 1]]
  3:
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  4:
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  5:
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  6:
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  7:
    M: [[0, 1, 0], [-1, 1, 0], [0, 0, -1]]
  8:
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  9:
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  10:
    M: [[-1, 1, 0], [-1, 0, 0], [0, 0, -1]]
  11:
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176:
  1:
    M: [[0, -1, 0], [1, -1, 0], [0, 0, 1]]
  2:
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  3:
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  4:
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  5:
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  6:
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  7:
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  8:
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  9:
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  10:
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  11:
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177:
  1:
    M: [[0, -1, 0], [1, -1, 0], [0, 0, 1]]
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  4:
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  5:
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  6:
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  7:
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  8:
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  9:
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  10:
    M: [[1, 0, 0], [1, -1, 0], [0, 0, -1]]
  11:
    M: [[-1, 1, 0], [0, 1, 0], [0, 0, -1]]
178:
  1:
    M: [[0, -1, 0], [1, -1, 0], [0, 0, 1]]
    T: [0, 0, 0.3333333333]
  2:
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  3:
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  4:
    M: [[1, -1, 0], [1, 0, 0], [0, 0, 1]]
    T: [0, 0, 0.1666666667]
  5:
    M: [[0, 1, 0], [-1, 1, 0], [0, 0, 1]]
    T: [0, 0, 0.8333333333]
  6:
    M: [[0, 1, 0], [1, 0, 0], [0, 0, -1]]
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  7:
    M: [[1, -1, 0], [0, -1, 0], [0, 0, -1]]
  8:
    M: [[-1, 0, 0], [-1, 1, 0], [0, 0, -1]]
    T: [0, 0, 0.6666666667]
  9:
    M: [[0, -1, 0], [-1, 0, 0], [0, 0, -1]]
    T: [0, 0, 0.8333333333]
  10:
    M: [[1, 0, 0], [1, -1, 0], [0, 0, -1]]
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  11:
    M: [[-1, 1, 0], [0, 1, 0], [0, 0, -1]]
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