Database - gps_qrep ((description not yet updated on this server))

Formats: - HTML - YAML - JSON - 2025-11-28T00:15:32.716034 - next page

Query: /api/gps_qrep/?_offset=0

Column	Type
c_class	text
carat_label	text
decomposition	jsonb
dim	smallint
gens	jsonb
group	text
irreducible	boolean
label	text
order	numeric

0. label: 1.1.1a
   {'c_class': '1.1.1a', 'carat_label': None, 'decomposition': [['1.1.1a', 1]], 'dim': 1, 'gens': [[[1]]], 'group': '1.1', 'irreducible': True, 'label': '1.1.1a', 'order': 1}
1. label: 2.1.1b
   {'c_class': '2.1.1b', 'carat_label': None, 'decomposition': [['2.1.1b', 1]], 'dim': 1, 'gens': [[[-1]]], 'group': '2.1', 'irreducible': True, 'label': '2.1.1b', 'order': 2}
2. label: 3.1.1b
   {'c_class': '3.1.1b1-1b1', 'carat_label': None, 'decomposition': [['3.1.1b', 1]], 'dim': 2, 'gens': [[[-1, -1], [1, 0]]], 'group': '3.1', 'irreducible': True, 'label': '3.1.1b', 'order': 3}
3. label: 4.1.1c
   {'c_class': '4.1.1c1-1c1', 'carat_label': None, 'decomposition': [['4.1.1c', 1]], 'dim': 2, 'gens': [[[0, 1], [-1, 0]]], 'group': '4.1', 'irreducible': True, 'label': '4.1.1c', 'order': 4}
4. label: 6.1.2a
   {'c_class': '6.1.2a', 'carat_label': None, 'decomposition': [['6.1.2a', 1]], 'dim': 2, 'gens': [[[-1, -1], [1, 0]], [[1, 0], [-1, -1]]], 'group': '6.1', 'irreducible': True, 'label': '6.1.2a', 'order': 6}
5. label: 6.2.1d
   {'c_class': '6.2.1d1-1d1', 'carat_label': None, 'decomposition': [['6.2.1d', 1]], 'dim': 2, 'gens': [[[1, 1], [-1, 0]]], 'group': '6.2', 'irreducible': True, 'label': '6.2.1d', 'order': 6}
6. label: 8.3.2a
   {'c_class': '8.3.2a', 'carat_label': None, 'decomposition': [['8.3.2a', 1]], 'dim': 2, 'gens': [[[1, 0], [0, -1]], [[0, 1], [1, 0]]], 'group': '8.3', 'irreducible': True, 'label': '8.3.2a', 'order': 8}
7. label: 12.4.2b
   {'c_class': '12.4.2b', 'carat_label': None, 'decomposition': [['12.4.2b', 1]], 'dim': 2, 'gens': [[[1, 0], [-1, -1]], [[1, 1], [0, -1]]], 'group': '12.4', 'irreducible': True, 'label': '12.4.2b', 'order': 12}
8. label: 12.3.3a
   {'c_class': '12.3.3a', 'carat_label': None, 'decomposition': [['12.3.3a', 1]], 'dim': 3, 'gens': [[[0, 1, 0], [-1, -1, -1], [0, 0, 1]], [[0, 0, 1], [1, 0, 0], [0, 1, 0]]], 'group': '12.3', 'irreducible': True, 'label': '12.3.3a', 'order': 12}
9. label: 24.12.3a
   {'c_class': '24.12.3a', 'carat_label': None, 'decomposition': [['24.12.3a', 1]], 'dim': 3, 'gens': [[[0, 1, 0], [0, 0, 1], [1, 0, 0]], [[-1, -1, -1], [0, 1, 0], [0, 0, 1]]], 'group': '24.12', 'irreducible': True, 'label': '24.12.3a', 'order': 24}
10. label: 24.12.3b
    {'c_class': '24.12.3b', 'carat_label': None, 'decomposition': [['24.12.3b', 1]], 'dim': 3, 'gens': [[[0, -1, 0], [0, 0, 1], [-1, 0, 0]], [[-1, 0, 0], [0, 0, 1], [0, 1, 0]]], 'group': '24.12', 'irreducible': True, 'label': '24.12.3b', 'order': 24}
11. label: 24.13.3b
    {'c_class': '24.13.3b', 'carat_label': None, 'decomposition': [['24.13.3b', 1]], 'dim': 3, 'gens': [[[-1, 0, 0], [0, 1, 0], [0, 0, 1]], [[0, 1, 0], [0, 0, 1], [1, 0, 0]]], 'group': '24.13', 'irreducible': True, 'label': '24.13.3b', 'order': 24}
12. label: 48.48.3c
    {'c_class': '48.48.3c', 'carat_label': None, 'decomposition': [['48.48.3c', 1]], 'dim': 3, 'gens': [[[0, 0, 1], [1, 0, 0], [0, -1, 0]], [[0, 0, -1], [0, -1, 0], [-1, 0, 0]]], 'group': '48.48', 'irreducible': True, 'label': '48.48.3c', 'order': 48}
13. label: 5.1.1b
    {'c_class': '5.1.1b1-1b1-1b1-1b1', 'carat_label': None, 'decomposition': [['5.1.1b', 1]], 'dim': 4, 'gens': [[[-1, -1, -1, -1], [1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0]]], 'group': '5.1', 'irreducible': True, 'label': '5.1.1b', 'order': 5}
14. label: 8.1.1d
    {'c_class': '8.1.1d1-1d1-1d1-1d1', 'carat_label': None, 'decomposition': [['8.1.1d', 1]], 'dim': 4, 'gens': [[[0, 0, -1, 0], [0, 0, 0, -1], [0, 1, 0, 0], [-1, 0, 0, 0]]], 'group': '8.1', 'irreducible': True, 'label': '8.1.1d', 'order': 8}
15. label: 8.4.2a
    {'c_class': '8.4.2a-2a', 'carat_label': None, 'decomposition': [['8.4.2a', 1]], 'dim': 4, 'gens': [[[0, 0, -1, 0], [0, 0, 0, -1], [1, 0, 0, 0], [0, 1, 0, 0]], [[0, 0, 0, -1], [0, 0, 1, 0], [0, -1, 0, 0], [1, 0, 0, 0]]], 'group': '8.4', 'irreducible': True, 'label': '8.4.2a', 'order': 8}
16. label: 10.1.2a
    {'c_class': '10.1.2a1-2a1', 'carat_label': None, 'decomposition': [['10.1.2a', 1]], 'dim': 4, 'gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [-1, -1, -1, -1]], [[0, 0, 0, 1], [0, 0, 1, 0], [0, 1, 0, 0], [1, 0, 0, 0]]], 'group': '10.1', 'irreducible': True, 'label': '10.1.2a', 'order': 10}
17. label: 10.2.1d
    {'c_class': '10.2.1d1-1d1-1d1-1d1', 'carat_label': None, 'decomposition': [['10.2.1d', 1]], 'dim': 4, 'gens': [[[0, 0, -1, 0], [0, 0, 0, -1], [1, 1, 1, 1], [-1, 0, 0, 0]]], 'group': '10.2', 'irreducible': True, 'label': '10.2.1d', 'order': 10}
18. label: 12.1.2b
    {'c_class': '12.1.2b-2b', 'carat_label': None, 'decomposition': [['12.1.2b', 1]], 'dim': 4, 'gens': [[[1, 0, 1, 0], [0, 1, 0, 1], [-1, 0, 0, 0], [0, -1, 0, 0]], [[0, 1, 0, 1], [-1, 0, -1, 0], [0, 0, 0, -1], [0, 0, 1, 0]]], 'group': '12.1', 'irreducible': True, 'label': '12.1.2b', 'order': 12}
19. label: 12.2.1f
    {'c_class': '12.2.1f1-1f1-1f1-1f1', 'carat_label': None, 'decomposition': [['12.2.1f', 1]], 'dim': 4, 'gens': [[[0, 0, -1, 0], [0, 0, 1, -1], [0, 1, 0, 0], [-1, 0, 0, 0]]], 'group': '12.2', 'irreducible': True, 'label': '12.2.1f', 'order': 12}
20. label: 16.13.2a
    {'c_class': '16.13.2a1-2a1', 'carat_label': None, 'decomposition': [['16.13.2a', 1]], 'dim': 4, 'gens': [[[0, -1, 0, 0], [1, 0, 0, 0], [0, 0, 0, 1], [0, 0, -1, 0]], [[0, 0, 0, 1], [0, 0, -1, 0], [0, -1, 0, 0], [1, 0, 0, 0]], [[0, -1, 0, 0], [1, 0, 0, 0], [0, 0, 0, -1], [0, 0, 1, 0]]], 'group': '16.13', 'irreducible': True, 'label': '16.13.2a', 'order': 16}
21. label: 16.6.2a
    {'c_class': '16.6.2a1-2a1', 'carat_label': None, 'decomposition': [['16.6.2a', 1]], 'dim': 4, 'gens': [[[0, 0, -1, 0], [0, 0, 0, -1], [0, 1, 0, 0], [-1, 0, 0, 0]], [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, -1, 0], [0, 0, 0, -1]]], 'group': '16.6', 'irreducible': True, 'label': '16.6.2a', 'order': 16}
22. label: 16.7.2b
    {'c_class': '16.7.2b1-2b1', 'carat_label': None, 'decomposition': [['16.7.2b', 1]], 'dim': 4, 'gens': [[[0, 0, 0, 1], [0, 0, -1, 0], [1, 0, 0, 0], [0, 1, 0, 0]], [[-1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 0, -1], [0, 0, -1, 0]]], 'group': '16.7', 'irreducible': True, 'label': '16.7.2b', 'order': 16}
23. label: 16.8.2b
    {'c_class': '16.8.2b1-2b1', 'carat_label': None, 'decomposition': [['16.8.2b', 1]], 'dim': 4, 'gens': [[[0, 0, 1, 0], [0, 0, 0, 1], [0, 1, 0, 0], [-1, 0, 0, 0]], [[0, 1, 0, 0], [1, 0, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]]], 'group': '16.8', 'irreducible': True, 'label': '16.8.2b', 'order': 16}
24. label: 18.3.2b
    {'c_class': '18.3.2b1-2b1', 'carat_label': None, 'decomposition': [['18.3.2b', 1]], 'dim': 4, 'gens': [[[-1, -1, 0, 0], [1, 0, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]], [[0, 0, 1, 0], [0, 0, 0, 1], [-1, -1, 0, 0], [1, 0, 0, 0]]], 'group': '18.3', 'irreducible': True, 'label': '18.3.2b', 'order': 18}
25. label: 20.3.4a
    {'c_class': '20.3.4a', 'carat_label': None, 'decomposition': [['20.3.4a', 1]], 'dim': 4, 'gens': [[[-1, -1, -1, -1], [0, 0, 0, 1], [0, 0, 1, 0], [0, 1, 0, 0]], [[0, 0, 0, 1], [0, 1, 0, 0], [-1, -1, -1, -1], [0, 0, 1, 0]]], 'group': '20.3', 'irreducible': True, 'label': '20.3.4a', 'order': 20}
26. label: 20.4.2b
    {'c_class': '20.4.2b1-2b1', 'carat_label': None, 'decomposition': [['20.4.2b', 1]], 'dim': 4, 'gens': [[[1, 0, 0, 0], [-1, -1, -1, -1], [0, 0, 0, 1], [0, 0, 1, 0]], [[0, 0, 0, -1], [0, 0, -1, 0], [0, -1, 0, 0], [-1, 0, 0, 0]]], 'group': '20.4', 'irreducible': True, 'label': '20.4.2b', 'order': 20}
27. label: 24.1.2c
    {'c_class': '24.1.2c1-2c1', 'carat_label': None, 'decomposition': [['24.1.2c', 1]], 'dim': 4, 'gens': [[[0, -1, 0, 0], [1, 1, 0, 0], [-1, 0, 0, 1], [-1, -1, -1, 1]], [[0, 0, 0, 1], [-1, -1, -1, 0], [0, 1, 1, 0], [0, 0, 1, 0]]], 'group': '24.1', 'irreducible': True, 'label': '24.1.2c', 'order': 24}
28. label: 24.10.2b
    {'c_class': '24.10.2b1-2b1', 'carat_label': None, 'decomposition': [['24.10.2b', 1]], 'dim': 4, 'gens': [[[0, 0, 0, 1], [0, 0, -1, -1], [-1, 0, 0, 0], [0, -1, 0, 0]], [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, -1, 0], [0, 0, 0, -1]]], 'group': '24.10', 'irreducible': True, 'label': '24.10.2b', 'order': 24}
29. label: 24.11.2b
    {'c_class': '24.11.2b1-2b1', 'carat_label': None, 'decomposition': [['24.11.2b', 1]], 'dim': 4, 'gens': [[[0, 0, 0, 1], [1, 0, 0, 0], [0, -1, 1, 0], [0, 0, 1, -1]], [[0, 0, 1, 0], [-1, 0, 0, -1], [-1, 0, 0, 0], [0, 1, -1, 0]]], 'group': '24.11', 'irreducible': True, 'label': '24.11.2b', 'order': 24}
30. label: 24.3.2a
    {'c_class': '24.3.2a-2a', 'carat_label': None, 'decomposition': [['24.3.2a', 1]], 'dim': 4, 'gens': [[[0, 0, 1, 0], [1, 0, 0, 1], [-1, 0, 0, 0], [0, -1, -1, 0]], [[0, 0, -1, 1], [0, -1, -1, 0], [0, 1, 0, 0], [-1, 1, 1, -1]]], 'group': '24.3', 'irreducible': True, 'label': '24.3.2a', 'order': 24}
31. label: 24.3.2b
    {'c_class': '24.3.2b1-2b1', 'carat_label': None, 'decomposition': [['24.3.2b', 1]], 'dim': 4, 'gens': [[[0, 1, 0, 0], [-1, 0, 0, 0], [0, 0, 0, -1], [0, 0, 1, 0]], [[0, 1, 0, 0], [0, 0, 1, 0], [1, 0, 0, 0], [0, 0, 0, 1]]], 'group': '24.3', 'irreducible': True, 'label': '24.3.2b', 'order': 24}
32. label: 24.5.2c
    {'c_class': '24.5.2c1-2c1', 'carat_label': None, 'decomposition': [['24.5.2c', 1]], 'dim': 4, 'gens': [[[0, 0, 0, 1], [0, 0, -1, 1], [1, 0, 0, 0], [0, 1, 0, 0]], [[1, 0, 0, 0], [1, -1, 0, 0], [0, 0, 0, -1], [0, 0, -1, 0]]], 'group': '24.5', 'irreducible': True, 'label': '24.5.2c', 'order': 24}
33. label: 24.6.2d
    {'c_class': '24.6.2d1-2d1', 'carat_label': None, 'decomposition': [['24.6.2d', 1]], 'dim': 4, 'gens': [[[0, 0, 1, 0], [0, 0, -1, 1], [0, -1, 0, 0], [1, 0, 0, 0]], [[-1, -1, 0, 0], [0, 1, 0, 0], [0, 0, 1, -1], [0, 0, 0, -1]]], 'group': '24.6', 'irreducible': True, 'label': '24.6.2d', 'order': 24}
34. label: 24.8.2d
    {'c_class': '24.8.2d1-2d1', 'carat_label': None, 'decomposition': [['24.8.2d', 1]], 'dim': 4, 'gens': [[[0, 0, -1, -1], [0, 0, 0, 1], [1, 1, 0, 0], [0, -1, 0, 0]], [[0, 0, 0, 1], [0, 0, -1, -1], [1, 0, 0, 0], [0, 1, 0, 0]]], 'group': '24.8', 'irreducible': True, 'label': '24.8.2d', 'order': 24}
35. label: 32.11.2c
    {'c_class': '32.11.2c1-2c1', 'carat_label': None, 'decomposition': [['32.11.2c', 1]], 'dim': 4, 'gens': [[[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 0, -1], [0, 0, 1, 0]], [[0, 0, 0, 1], [0, 0, -1, 0], [1, 0, 0, 0], [0, 1, 0, 0]]], 'group': '32.11', 'irreducible': True, 'label': '32.11.2c', 'order': 32}
36. label: 32.43.4a
    {'c_class': '32.43.4a', 'carat_label': None, 'decomposition': [['32.43.4a', 1]], 'dim': 4, 'gens': [[[0, 1, 0, 0], [1, 0, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]], [[0, 0, 0, 1], [0, 0, -1, 0], [-1, 0, 0, 0], [0, -1, 0, 0]], [[1, 0, 0, 0], [0, -1, 0, 0], [0, 0, 0, -1], [0, 0, -1, 0]]], 'group': '32.43', 'irreducible': True, 'label': '32.43.4a', 'order': 32}
37. label: 32.49.4a
    {'c_class': '32.49.4a', 'carat_label': None, 'decomposition': [['32.49.4a', 1]], 'dim': 4, 'gens': [[[0, 0, 0, -1], [0, 0, -1, 0], [0, -1, 0, 0], [-1, 0, 0, 0]], [[1, 0, 0, 0], [0, -1, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]], [[0, 0, 0, 1], [0, 0, 1, 0], [0, -1, 0, 0], [-1, 0, 0, 0]], [[0, -1, 0, 0], [1, 0, 0, 0], [0, 0, 0, 1], [0, 0, -1, 0]]], 'group': '32.49', 'irreducible': True, 'label': '32.49.4a', 'order': 32}
38. label: 32.6.4a
    {'c_class': '32.6.4a', 'carat_label': None, 'decomposition': [['32.6.4a', 1]], 'dim': 4, 'gens': [[[0, 0, 1, 0], [0, 0, 0, 1], [-1, 0, 0, 0], [0, -1, 0, 0]], [[0, 0, 0, 1], [0, 0, -1, 0], [-1, 0, 0, 0], [0, 1, 0, 0]]], 'group': '32.6', 'irreducible': True, 'label': '32.6.4a', 'order': 32}
39. label: 32.7.4a
    {'c_class': '32.7.4a', 'carat_label': None, 'decomposition': [['32.7.4a', 1]], 'dim': 4, 'gens': [[[0, 0, -1, 0], [0, 0, 0, 1], [0, 1, 0, 0], [1, 0, 0, 0]], [[0, -1, 0, 0], [-1, 0, 0, 0], [0, 0, 0, 1], [0, 0, 1, 0]]], 'group': '32.7', 'irreducible': True, 'label': '32.7.4a', 'order': 32}
40. label: 36.10.4a
    {'c_class': '36.10.4a', 'carat_label': None, 'decomposition': [['36.10.4a', 1]], 'dim': 4, 'gens': [[[0, 1, 0, 0], [1, 0, 0, 0], [0, 0, 1, 0], [0, 0, -1, -1]], [[0, 0, 0, 1], [0, 0, -1, -1], [0, 1, 0, 0], [-1, -1, 0, 0]]], 'group': '36.10', 'irreducible': True, 'label': '36.10.4a', 'order': 36}
41. label: 36.12.2d
    {'c_class': '36.12.2d1-2d1', 'carat_label': None, 'decomposition': [['36.12.2d', 1]], 'dim': 4, 'gens': [[[0, 0, -1, 1], [0, 0, 0, -1], [-1, -1, 0, 0], [0, -1, 0, 0]], [[0, -1, 0, 0], [1, 1, 0, 0], [0, 0, -1, 0], [0, 0, 0, -1]]], 'group': '36.12', 'irreducible': True, 'label': '36.12.2d', 'order': 36}
42. label: 36.6.2d
    {'c_class': '36.6.2d1-2d1', 'carat_label': None, 'decomposition': [['36.6.2d', 1]], 'dim': 4, 'gens': [[[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, -1, 1], [0, 0, -1, 0]], [[0, 0, 0, -1], [0, 0, 1, 0], [0, -1, 0, 0], [1, 0, 0, 0]]], 'group': '36.6', 'irreducible': True, 'label': '36.6.2d', 'order': 36}
43. label: 36.9.4a
    {'c_class': '36.9.4a', 'carat_label': None, 'decomposition': [['36.9.4a', 1]], 'dim': 4, 'gens': [[[-1, -1, 0, 0], [1, 0, 0, 0], [0, 0, 0, 1], [0, 0, -1, -1]], [[0, 0, 0, 1], [0, 0, -1, -1], [0, 1, 0, 0], [1, 0, 0, 0]]], 'group': '36.9', 'irreducible': True, 'label': '36.9.4a', 'order': 36}
44. label: 40.12.4b
    {'c_class': '40.12.4b', 'carat_label': None, 'decomposition': [['40.12.4b', 1]], 'dim': 4, 'gens': [[[-1, -1, -1, -1], [0, 1, 0, 0], [0, 0, 0, 1], [1, 0, 0, 0]], [[-1, 0, 0, 0], [1, 1, 1, 1], [0, 0, 0, -1], [0, 0, -1, 0]]], 'group': '40.12', 'irreducible': True, 'label': '40.12.4b', 'order': 40}
45. label: 48.17.4a
    {'c_class': '48.17.4a', 'carat_label': None, 'decomposition': [['48.17.4a', 1]], 'dim': 4, 'gens': [[[0, 0, 1, 0], [1, 0, -1, -1], [1, 1, -1, -1], [0, 0, 1, 1]], [[0, -1, 0, 0], [-1, 0, 1, 1], [-1, 0, 0, 1], [1, 0, 0, 0]]], 'group': '48.17', 'irreducible': True, 'label': '48.17.4a', 'order': 48}
46. label: 48.29.2b
    {'c_class': '48.29.2b1-2b1', 'carat_label': None, 'decomposition': [['48.29.2b', 1]], 'dim': 4, 'gens': [[[1, 0, 0, -1], [1, 0, 1, -1], [1, -1, 1, 0], [1, 0, 0, 0]], [[0, 0, 0, 1], [1, -1, 1, 0], [1, -1, 0, 0], [0, -1, 0, 1]]], 'group': '48.29', 'irreducible': True, 'label': '48.29.2b', 'order': 48}
47. label: 48.29.4a
    {'c_class': '48.29.4a', 'carat_label': None, 'decomposition': [['48.29.4a', 1]], 'dim': 4, 'gens': [[[-1, 0, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [0, -1, 0, 0]], [[0, 0, 1, 0], [0, 0, 0, -1], [0, -1, 0, 0], [-1, 0, 0, 0]]], 'group': '48.29', 'irreducible': True, 'label': '48.29.4a', 'order': 48}
48. label: 48.33.2a
    {'c_class': '48.33.2a1-2a1', 'carat_label': None, 'decomposition': [['48.33.2a', 1]], 'dim': 4, 'gens': [[[-1, 0, 0, 1], [0, -1, -1, 0], [0, 1, 0, 0], [-1, 0, 0, 0]], [[0, 0, -1, 0], [1, -1, -1, 0], [-1, 0, 0, 0], [0, 0, 0, 1]]], 'group': '48.33', 'irreducible': True, 'label': '48.33.2a', 'order': 48}
49. label: 48.38.4a
    {'c_class': '48.38.4a', 'carat_label': None, 'decomposition': [['48.38.4a', 1]], 'dim': 4, 'gens': [[[-1, 0, 0, 1], [0, 1, 1, 0], [0, -1, 0, 0], [-1, 0, 0, 0]], [[0, -1, -1, 0], [1, 0, 0, -1], [0, 0, 0, 1], [0, 0, -1, 0]], [[-1, 0, 0, 0], [0, 1, 0, 0], [0, -1, -1, 0], [-1, 0, 0, 1]]], 'group': '48.38', 'irreducible': True, 'label': '48.38.4a', 'order': 48}
50. label: 60.5.4a
    {'c_class': '60.5.4a', 'carat_label': None, 'decomposition': [['60.5.4a', 1]], 'dim': 4, 'gens': [[[-1, -1, -1, -1], [0, 0, 1, 0], [0, 1, 0, 0], [0, 0, 0, 1]], [[0, 0, 0, 1], [0, 1, 0, 0], [1, 0, 0, 0], [0, 0, 1, 0]]], 'group': '60.5', 'irreducible': True, 'label': '60.5.4a', 'order': 60}
51. label: 64.134.4a
    {'c_class': '64.134.4a', 'carat_label': None, 'decomposition': [['64.134.4a', 1]], 'dim': 4, 'gens': [[[0, 0, 0, 1], [0, 0, -1, 0], [1, 0, 0, 0], [0, 1, 0, 0]], [[0, -1, 0, 0], [-1, 0, 0, 0], [0, 0, -1, 0], [0, 0, 0, 1]], [[0, 1, 0, 0], [-1, 0, 0, 0], [0, 0, -1, 0], [0, 0, 0, -1]]], 'group': '64.134', 'irreducible': True, 'label': '64.134.4a', 'order': 64}
52. label: 64.138.4a
    {'c_class': '64.138.4a', 'carat_label': None, 'decomposition': [['64.138.4a', 1]], 'dim': 4, 'gens': [[[0, 0, 0, 1], [0, 0, 1, 0], [1, 0, 0, 0], [0, 1, 0, 0]], [[0, 1, 0, 0], [1, 0, 0, 0], [0, 0, -1, 0], [0, 0, 0, -1]], [[0, -1, 0, 0], [1, 0, 0, 0], [0, 0, 1, 0], [0, 0, 0, -1]]], 'group': '64.138', 'irreducible': True, 'label': '64.138.4a', 'order': 64}
53. label: 64.32.4b
    {'c_class': '64.32.4b', 'carat_label': None, 'decomposition': [['64.32.4b', 1]], 'dim': 4, 'gens': [[[0, 1, 0, 0], [-1, 0, 0, 0], [0, 0, 0, -1], [0, 0, -1, 0]], [[0, 0, 0, -1], [0, 0, -1, 0], [1, 0, 0, 0], [0, -1, 0, 0]]], 'group': '64.32', 'irreducible': True, 'label': '64.32.4b', 'order': 64}
54. label: 64.34.4b
    {'c_class': '64.34.4b', 'carat_label': None, 'decomposition': [['64.34.4b', 1]], 'dim': 4, 'gens': [[[0, -1, 0, 0], [1, 0, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]], [[0, 0, -1, 0], [0, 0, 0, -1], [0, -1, 0, 0], [-1, 0, 0, 0]]], 'group': '64.34', 'irreducible': True, 'label': '64.34.4b', 'order': 64}
55. label: 72.21.4b
    {'c_class': '72.21.4b', 'carat_label': None, 'decomposition': [['72.21.4b', 1]], 'dim': 4, 'gens': [[[0, 0, 1, -1], [0, 0, 0, 1], [0, 1, 0, 0], [-1, 0, 0, 0]], [[0, 0, 0, -1], [0, 0, -1, 1], [-1, 0, 0, 0], [0, 1, 0, 0]]], 'group': '72.21', 'irreducible': True, 'label': '72.21.4b', 'order': 72}
56. label: 72.23.4b
    {'c_class': '72.23.4b', 'carat_label': None, 'decomposition': [['72.23.4b', 1]], 'dim': 4, 'gens': [[[0, 0, -1, 1], [0, 0, 0, -1], [-1, 0, 0, 0], [-1, -1, 0, 0]], [[0, 0, 1, 0], [0, 0, 0, -1], [0, 1, 0, 0], [1, 1, 0, 0]]], 'group': '72.23', 'irreducible': True, 'label': '72.23.4b', 'order': 72}
57. label: 72.25.2c
    {'c_class': '72.25.2c1-2c1', 'carat_label': None, 'decomposition': [['72.25.2c', 1]], 'dim': 4, 'gens': [[[1, 0, -1, -1], [0, 1, 1, 0], [0, 0, -1, -1], [0, 0, 1, 0]], [[0, -1, 0, 1], [1, 1, -1, -1], [-1, -1, 0, 1], [1, 0, -1, -1]]], 'group': '72.25', 'irreducible': True, 'label': '72.25.2c', 'order': 72}
58. label: 72.30.2h
    {'c_class': '72.30.2h1-2h1', 'carat_label': None, 'decomposition': [['72.30.2h', 1]], 'dim': 4, 'gens': [[[0, 1, 0, 0], [-1, -1, 0, 0], [0, 0, 0, 1], [0, 0, -1, 1]], [[0, 0, 1, 0], [0, 0, -1, 1], [-1, -1, 0, 0], [0, -1, 0, 0]]], 'group': '72.30', 'irreducible': True, 'label': '72.30.2h', 'order': 72}
59. label: 72.40.4a
    {'c_class': '72.40.4a', 'carat_label': None, 'decomposition': [['72.40.4a', 1]], 'dim': 4, 'gens': [[[0, 1, 0, 0], [-1, -1, 0, 0], [0, 0, 0, 1], [0, 0, 1, 0]], [[0, 0, -1, -1], [0, 0, 0, 1], [0, 1, 0, 0], [-1, -1, 0, 0]]], 'group': '72.40', 'irreducible': True, 'label': '72.40.4a', 'order': 72}
60. label: 72.40.4c
    {'c_class': '72.40.4c', 'carat_label': None, 'decomposition': [['72.40.4c', 1]], 'dim': 4, 'gens': [[[0, 0, 0, 1], [0, 0, -1, 0], [1, 1, 0, 0], [0, 1, 0, 0]], [[0, 0, 0, -1], [0, 0, -1, 1], [1, 0, 0, 0], [1, 1, 0, 0]]], 'group': '72.40', 'irreducible': True, 'label': '72.40.4c', 'order': 72}
61. label: 72.45.4c
    {'c_class': '72.45.4c', 'carat_label': None, 'decomposition': [['72.45.4c', 1]], 'dim': 4, 'gens': [[[0, -1, 0, 0], [1, 1, 0, 0], [0, 0, 1, -1], [0, 0, 1, 0]], [[0, 0, 0, -1], [0, 0, 1, 0], [1, 0, 0, 0], [0, -1, 0, 0]]], 'group': '72.45', 'irreducible': True, 'label': '72.45.4c', 'order': 72}
62. label: 72.46.4b
    {'c_class': '72.46.4b', 'carat_label': None, 'decomposition': [['72.46.4b', 1]], 'dim': 4, 'gens': [[[0, 0, -1, 1], [0, 0, 0, -1], [0, 1, 0, 0], [-1, 0, 0, 0]], [[0, 0, -1, 1], [0, 0, 1, 0], [0, 1, 0, 0], [1, 1, 0, 0]], [[-1, 0, 0, 0], [1, 1, 0, 0], [0, 0, 0, 1], [0, 0, 1, 0]]], 'group': '72.46', 'irreducible': True, 'label': '72.46.4b', 'order': 72}
63. label: 60.5.5a
    {'c_class': '60.5.5a', 'carat_label': None, 'decomposition': [['60.5.5a', 1]], 'dim': 5, 'gens': [[[0, 0, 0, 0, 1], [-1, -1, -1, -1, -1], [0, 0, 1, 0, 0], [0, 0, 0, 1, 0], [1, 0, 0, 0, 0]], [[0, 0, 0, 0, 1], [0, 0, 1, 0, 0], [0, 0, 0, 1, 0], [0, 1, 0, 0, 0], [-1, -1, -1, -1, -1]]], 'group': '60.5', 'irreducible': True, 'label': '60.5.5a', 'order': 60}
64. label: 80.49.5a
    {'c_class': '80.49.5a', 'carat_label': None, 'decomposition': [['80.49.5a', 1]], 'dim': 5, 'gens': [[[0, 1, 0, 0, 0], [0, 0, 1, 0, 0], [0, 0, 0, -1, 0], [0, 0, 0, 0, -1], [1, 0, 0, 0, 0]], [[0, -1, 0, 0, 0], [0, 0, -1, 0, 0], [0, 0, 0, -1, 0], [0, 0, 0, 0, -1], [1, 0, 0, 0, 0]]], 'group': '80.49', 'irreducible': True, 'label': '80.49.5a', 'order': 80}
65. label: 7.1.1b
    {'c_class': '7.1.1b1-1b1-1b1-1b1-1b1-1b1', 'carat_label': None, 'decomposition': [['7.1.1b', 1]], 'dim': 6, 'gens': [[[0, 1, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1], [-1, -1, -1, -1, -1, -1]]], 'group': '7.1', 'irreducible': True, 'label': '7.1.1b', 'order': 7}
66. label: 9.1.1c
    {'c_class': '9.1.1c1-1c1-1c1-1c1-1c1-1c1', 'carat_label': None, 'decomposition': [['9.1.1c', 1]], 'dim': 6, 'gens': [[[0, 0, -1, -1, 0, 0], [0, 0, 1, 0, 0, 0], [0, 0, 0, 0, -1, -1], [0, 0, 0, 0, 0, 1], [0, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0]]], 'group': '9.1', 'irreducible': True, 'label': '9.1.1c', 'order': 9}
67. label: 14.1.2a
    {'c_class': '14.1.2a1-2a1-2a1', 'carat_label': None, 'decomposition': [['14.1.2a', 1]], 'dim': 6, 'gens': [[[0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1], [-1, -1, -1, -1, -1, -1], [1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0]], [[0, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 0], [0, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [-1, -1, -1, -1, -1, -1], [0, 0, 0, 0, 0, 1]]], 'group': '14.1', 'irreducible': True, 'label': '14.1.2a', 'order': 14}
68. label: 14.2.1d
    {'c_class': '14.2.1d1-1d1-1d1-1d1-1d1-1d1', 'carat_label': None, 'decomposition': [['14.2.1d', 1]], 'dim': 6, 'gens': [[[0, -1, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0], [0, 0, 0, -1, 0, 0], [0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, -1], [1, 1, 1, 1, 1, 1]]], 'group': '14.2', 'irreducible': True, 'label': '14.2.1d', 'order': 14}
69. label: 18.1.2b
    {'c_class': '18.1.2b1-2b1-2b1', 'carat_label': None, 'decomposition': [['18.1.2b', 1]], 'dim': 6, 'gens': [[[0, 0, 0, 0, 1, 0], [0, 0, 0, 0, -1, -1], [-1, -1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0], [0, 0, -1, -1, 0, 0]], [[0, 0, -1, -1, 0, 0], [0, 0, 0, 1, 0, 0], [-1, -1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 1, 0]]], 'group': '18.1', 'irreducible': True, 'label': '18.1.2b', 'order': 18}
70. label: 18.2.1f
    {'c_class': '18.2.1f1-1f1-1f1-1f1-1f1-1f1', 'carat_label': None, 'decomposition': [['18.2.1f', 1]], 'dim': 6, 'gens': [[[0, 0, 0, 0, -1, 1], [0, 0, 0, 0, 0, -1], [1, 0, 0, 0, 0, 0], [1, 1, 0, 0, 0, 0], [0, 0, 1, -1, 0, 0], [0, 0, 1, 0, 0, 0]]], 'group': '18.2', 'irreducible': True, 'label': '18.2.1f', 'order': 18}
71. label: 21.1.3a
    {'c_class': '21.1.3a1-3a1', 'carat_label': None, 'decomposition': [['21.1.3a', 1]], 'dim': 6, 'gens': [[[0, 0, 0, 1, 0, 0], [1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0], [0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1], [0, 0, 1, 0, 0, 0]], [[-1, -1, -1, -1, -1, -1], [1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 1, 0]]], 'group': '21.1', 'irreducible': True, 'label': '21.1.3a', 'order': 21}
72. label: 27.3.3a
    {'c_class': '27.3.3a1-3a1', 'carat_label': None, 'decomposition': [['27.3.3a', 1]], 'dim': 6, 'gens': [[[0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 1, 0], [1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 0]], [[0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 1, 0], [0, 0, 0, 0, -1, -1], [1, 0, 0, 0, 0, 0], [-1, -1, 0, 0, 0, 0]]], 'group': '27.3', 'irreducible': True, 'label': '27.3.3a', 'order': 27}
73. label: 27.4.3a
    {'c_class': '27.4.3a1-3a1', 'carat_label': None, 'decomposition': [['27.4.3a', 1]], 'dim': 6, 'gens': [[[0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, -1, -1], [0, 0, 0, 0, 0, 1], [1, 0, 0, 0, 0, 0], [-1, -1, 0, 0, 0, 0]], [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [0, 0, -1, -1, 0, 0], [0, 0, 1, 0, 0, 0], [0, 0, 0, 0, -1, -1], [0, 0, 0, 0, 1, 0]]], 'group': '27.4', 'irreducible': True, 'label': '27.4.3a', 'order': 27}
74. label: 28.3.2b
    {'c_class': '28.3.2b1-2b1-2b1', 'carat_label': None, 'decomposition': [['28.3.2b', 1]], 'dim': 6, 'gens': [[[1, 0, 0, 0, 0, 0], [-1, -1, -1, -1, -1, -1], [0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 1, 0], [0, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 0]], [[0, 0, 0, 0, -1, 0], [0, 0, 0, -1, 0, 0], [0, 0, -1, 0, 0, 0], [0, -1, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0], [1, 1, 1, 1, 1, 1]]], 'group': '28.3', 'irreducible': True, 'label': '28.3.2b', 'order': 28}
75. label: 36.11.3b
    {'c_class': '36.11.3b1-3b1', 'carat_label': None, 'decomposition': [['36.11.3b', 1]], 'dim': 6, 'gens': [[[0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 0], [-1, -1, 0, 0, 0, 0], [1, 1, -1, 0, 1, 1], [-1, 0, 0, -1, -1, 0]], [[1, 1, -1, 0, 1, 1], [-1, 0, 0, -1, -1, 0], [0, 0, -1, -1, 0, 0], [0, 0, 1, 0, 0, 0], [-1, -1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0]]], 'group': '36.11', 'irreducible': True, 'label': '36.11.3b', 'order': 36}
76. label: 36.3.3b
    {'c_class': '36.3.3b1-3b1', 'carat_label': None, 'decomposition': [['36.3.3b', 1]], 'dim': 6, 'gens': [[[-1, -1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, 0, 0, -1, 0, 0], [0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, -1], [0, 0, 0, 0, 1, 1]], [[0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 1, 0], [-1, -1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [0, 0, -1, -1, 0, 0], [0, 0, 1, 0, 0, 0]]], 'group': '36.3', 'irreducible': True, 'label': '36.3.3b', 'order': 36}
77. label: 36.4.2d
    {'c_class': '36.4.2d1-2d1-2d1', 'carat_label': None, 'decomposition': [['36.4.2d', 1]], 'dim': 6, 'gens': [[[1, 1, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0], [0, 0, 0, 0, -1, 0], [0, 0, 0, 0, -1, 1], [0, 0, -1, 0, 0, 0], [0, 0, -1, 1, 0, 0]], [[0, 0, 0, 0, 1, 0], [0, 0, 0, 0, -1, 1], [-1, -1, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0], [0, 0, 0, -1, 0, 0]]], 'group': '36.4', 'irreducible': True, 'label': '36.4.2d', 'order': 36}
78. label: 42.1.6a
    {'c_class': '42.1.6a', 'carat_label': None, 'decomposition': [['42.1.6a', 1]], 'dim': 6, 'gens': [[[0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1], [0, 0, 1, 0, 0, 0], [-1, -1, -1, -1, -1, -1], [0, 0, 0, 1, 0, 0], [1, 0, 0, 0, 0, 0]], [[1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0], [-1, -1, -1, -1, -1, -1], [0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1], [0, 1, 0, 0, 0, 0]]], 'group': '42.1', 'irreducible': True, 'label': '42.1.6a', 'order': 42}
79. label: 42.2.3b
    {'c_class': '42.2.3b1-3b1', 'carat_label': None, 'decomposition': [['42.2.3b', 1]], 'dim': 6, 'gens': [[[-1, -1, -1, -1, -1, -1], [0, 1, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1], [1, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0]], [[0, 0, 0, -1, 0, 0], [0, 0, 0, 0, 0, -1], [-1, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0], [0, 0, 0, 0, -1, 0], [1, 1, 1, 1, 1, 1]]], 'group': '42.2', 'irreducible': True, 'label': '42.2.3b', 'order': 42}
80. label: 48.3.3b
    {'c_class': '48.3.3b1-3b1', 'carat_label': None, 'decomposition': [['48.3.3b', 1]], 'dim': 6, 'gens': [[[0, 0, 0, 0, 0, -1], [0, 0, 0, 0, 1, 0], [-1, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0], [0, 0, 0, -1, 0, 0], [0, 0, 1, 0, 0, 0]], [[0, 0, 0, 1, 0, 0], [0, 0, -1, 0, 0, 0], [0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1], [0, -1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0]]], 'group': '48.3', 'irreducible': True, 'label': '48.3.3b', 'order': 48}
81. label: 48.30.3c
    {'c_class': '48.30.3c1-3c1', 'carat_label': None, 'decomposition': [['48.30.3c', 1]], 'dim': 6, 'gens': [[[0, 0, 0, 0, 0, -1], [0, 0, 0, 0, 1, 0], [0, 0, 1, 0, 0, 0], [0, 0, 0, -1, 0, 0], [-1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0]], [[0, 0, -1, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, -1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, -1]]], 'group': '48.30', 'irreducible': True, 'label': '48.30.3c', 'order': 48}
82. label: 48.31.3c
    {'c_class': '48.31.3c1-3c1', 'carat_label': None, 'decomposition': [['48.31.3c', 1]], 'dim': 6, 'gens': [[[0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, -1], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, -1, 0], [0, 0, -1, 0, 0, 0], [1, 0, 0, 0, 0, 0]], [[0, 0, 0, -1, 0, 0], [0, 0, 0, 0, -1, 0], [1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, -1], [0, 0, 1, 0, 0, 0]]], 'group': '48.31', 'irreducible': True, 'label': '48.31.3c', 'order': 48}
83. label: 54.10.3b
    {'c_class': '54.10.3b1-3b1', 'carat_label': None, 'decomposition': [['54.10.3b', 1]], 'dim': 6, 'gens': [[[0, 0, 0, -1, 0, 0], [0, 0, 1, 0, 0, 0], [0, 0, 0, 0, -1, -1], [0, 0, 0, 0, 0, -1], [1, 1, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0]], [[0, 0, -1, 1, 0, 0], [0, 0, 0, -1, 0, 0], [0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 1, 1], [1, 1, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0]]], 'group': '54.10', 'irreducible': True, 'label': '54.10.3b', 'order': 54}
84. label: 54.11.3b
    {'c_class': '54.11.3b1-3b1', 'carat_label': None, 'decomposition': [['54.11.3b', 1]], 'dim': 6, 'gens': [[[0, 0, 0, -1, 0, 0], [0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, -1], [0, 0, 0, 0, 1, 1], [-1, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0]], [[0, 0, -1, -1, 0, 0], [0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1], [1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0]]], 'group': '54.11', 'irreducible': True, 'label': '54.11.3b', 'order': 54}
85. label: 54.5.6a
    {'c_class': '54.5.6a', 'carat_label': None, 'decomposition': [['54.5.6a', 1]], 'dim': 6, 'gens': [[[0, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 0], [0, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 1, 0]], [[0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1], [0, 1, 0, 0, 0, 0], [-1, -1, 0, 0, 0, 0], [0, 0, -1, -1, 0, 0], [0, 0, 1, 0, 0, 0]]], 'group': '54.5', 'irreducible': True, 'label': '54.5.6a', 'order': 54}
86. label: 54.6.6a
    {'c_class': '54.6.6a', 'carat_label': None, 'decomposition': [['54.6.6a', 1]], 'dim': 6, 'gens': [[[0, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 0], [0, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0], [0, 0, 0, 0, -1, -1]], [[0, 0, 0, 0, -1, -1], [0, 0, 0, 0, 1, 0], [-1, -1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, -1, -1, 0, 0]]], 'group': '54.6', 'irreducible': True, 'label': '54.6.6a', 'order': 54}
87. label: 54.8.3a
    {'c_class': '54.8.3a1-3a1', 'carat_label': None, 'decomposition': [['54.8.3a', 1]], 'dim': 6, 'gens': [[[0, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 0], [0, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1]], [[0, 1, 0, 0, 0, 0], [-1, -1, 0, 0, 0, 0], [0, 0, 0, 0, -1, -1], [0, 0, 0, 0, 1, 0], [0, 0, -1, -1, 0, 0], [0, 0, 1, 0, 0, 0]], [[0, 0, 0, 0, -1, -1], [0, 0, 0, 0, 0, 1], [0, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, 0, -1, -1, 0, 0], [0, 0, 1, 0, 0, 0]]], 'group': '54.8', 'irreducible': True, 'label': '54.8.3a', 'order': 54}
88. label: 54.8.3b
    {'c_class': '54.8.3b1-3b1', 'carat_label': None, 'decomposition': [['54.8.3b', 1]], 'dim': 6, 'gens': [[[0, 0, 0, -1, 0, 0], [0, 0, 1, 0, 0, 0], [0, 1, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0], [0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, -1]], [[0, -1, 0, 0, 0, 0], [1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, -1], [0, 0, 0, 0, 1, 0], [0, 0, 1, -1, 0, 0], [0, 0, 1, 0, 0, 0]], [[0, 0, 0, 0, 1, -1], [0, 0, 0, 0, 0, 1], [0, -1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, 0, -1, 1, 0, 0], [0, 0, -1, 0, 0, 0]]], 'group': '54.8', 'irreducible': True, 'label': '54.8.3b', 'order': 54}
89. label: 60.5.3a
    {'c_class': '60.5.3a1-3a1', 'carat_label': None, 'decomposition': [['60.5.3a', 1]], 'dim': 6, 'gens': [[[0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, -1], [0, 0, -1, 0, 0, 0], [0, 0, 0, -1, 0, 0], [-1, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0]], [[0, 0, 0, 0, -1, 0], [0, 0, -1, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1], [-1, 0, 0, 0, 0, 0]]], 'group': '60.5', 'irreducible': True, 'label': '60.5.3a', 'order': 60}
90. label: 72.15.6a
    {'c_class': '72.15.6a', 'carat_label': None, 'decomposition': [['72.15.6a', 1]], 'dim': 6, 'gens': [[[0, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 0], [0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, -1], [1, 1, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0]], [[0, 0, 1, 1, 0, 0], [0, 0, -1, 0, 0, 0], [0, -1, 0, 0, 0, 0], [1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 1, 0]]], 'group': '72.15', 'irreducible': True, 'label': '72.15.6a', 'order': 72}
91. label: 72.16.3d
    {'c_class': '72.16.3d1-3d1', 'carat_label': None, 'decomposition': [['72.16.3d', 1]], 'dim': 6, 'gens': [[[0, 0, 0, 0, -1, -1], [0, 0, 0, 0, 0, 1], [0, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 0]], [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, -1]]], 'group': '72.16', 'irreducible': True, 'label': '72.16.3d', 'order': 72}
92. label: 72.42.3c
    {'c_class': '72.42.3c1-3c1', 'carat_label': None, 'decomposition': [['72.42.3c', 1]], 'dim': 6, 'gens': [[[0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1], [0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 0], [-1, 0, 0, -1, -1, 0], [0, -1, 1, 1, 0, -1]], [[0, 1, 0, 0, 0, 0], [-1, -1, 0, 0, 0, 0], [-1, 0, 0, -1, -1, 0], [0, -1, 1, 1, 0, -1], [0, 0, 0, 0, 0, 1], [0, 0, 0, 0, -1, -1]]], 'group': '72.42', 'irreducible': True, 'label': '72.42.3c', 'order': 72}
93. label: 72.42.3d
    {'c_class': '72.42.3d1-3d1', 'carat_label': None, 'decomposition': [['72.42.3d', 1]], 'dim': 6, 'gens': [[[0, 0, -1, 0, 0, 0], [0, 0, 0, -1, 0, 0], [0, 0, 0, 0, 1, -1], [0, 0, 0, 0, 0, 1], [-1, -1, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0]], [[0, -1, 0, 0, 0, 0], [1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1], [0, 0, 0, 0, -1, 0], [0, 0, -1, 0, 0, 0], [0, 0, -1, -1, 0, 0]]], 'group': '72.42', 'irreducible': True, 'label': '72.42.3d', 'order': 72}
94. label: 72.43.6a
    {'c_class': '72.43.6a', 'carat_label': None, 'decomposition': [['72.43.6a', 1]], 'dim': 6, 'gens': [[[0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1], [0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 0], [-1, 0, 0, -1, -1, 0], [0, -1, 1, 1, 0, -1]], [[0, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [1, 1, -1, 0, 1, 1], [0, -1, 1, 1, 0, -1], [0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 1, 0]], [[-1, -1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 0], [1, 1, -1, 0, 1, 1], [0, -1, 1, 1, 0, -1]]], 'group': '72.43', 'irreducible': True, 'label': '72.43.6a', 'order': 72}
95. label: 72.44.6a
    {'c_class': '72.44.6a', 'carat_label': None, 'decomposition': [['72.44.6a', 1]], 'dim': 6, 'gens': [[[-1, -1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1], [0, 0, 0, 0, -1, -1], [1, 1, -1, 0, 1, 1], [-1, 0, 0, -1, -1, 0]], [[0, 0, -1, -1, 0, 0], [0, 0, 0, 1, 0, 0], [-1, -1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [0, -1, 1, 1, 0, -1], [-1, 0, 0, -1, -1, 0]]], 'group': '72.44', 'irreducible': True, 'label': '72.44.6a', 'order': 72}
96. label: 72.47.3d
    {'c_class': '72.47.3d1-3d1', 'carat_label': None, 'decomposition': [['72.47.3d', 1]], 'dim': 6, 'gens': [[[0, 0, 0, 0, 1, 0], [0, 0, 0, 0, -1, 1], [-1, 0, 0, 0, 0, 0], [-1, -1, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0], [0, 0, 0, -1, 0, 0]], [[0, 1, 0, 0, 0, 0], [-1, -1, 0, 0, 0, 0], [0, 0, 1, -1, 0, 0], [0, 0, 1, 0, 0, 0], [0, 0, 0, 0, -1, 1], [0, 0, 0, 0, -1, 0]]], 'group': '72.47', 'irreducible': True, 'label': '72.47.3d', 'order': 72}
97. label: 81.7.3b
    {'c_class': '81.7.3b1-3b1', 'carat_label': None, 'decomposition': [['81.7.3b', 1]], 'dim': 6, 'gens': [[[0, 0, 0, 1, 0, 0], [0, 0, -1, -1, 0, 0], [0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 1, 0], [0, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0]], [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1], [0, 0, 0, 0, -1, -1]]], 'group': '81.7', 'irreducible': True, 'label': '81.7.3b', 'order': 81}
98. label: 56.11.7a
    {'c_class': '56.11.7a', 'carat_label': None, 'decomposition': [['56.11.7a', 1]], 'dim': 7, 'gens': [[[1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 1, 0, 0, 0], [-1, -1, -1, -1, -1, -1, -1], [0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1], [0, 1, 0, 0, 0, 0, 0]], [[0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0], [-1, -1, -1, -1, -1, -1, -1], [0, 0, 1, 0, 0, 0, 0]]], 'group': '56.11', 'irreducible': True, 'label': '56.11.7a', 'order': 56}
99. label: 15.1.1d
    {'c_class': '15.1.1d1-1d1-1d1-1d1-1d1-1d1-1d1-1d1', 'carat_label': None, 'decomposition': [['15.1.1d', 1]], 'dim': 8, 'gens': [[[0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1], [0, 0, -1, 0, 0, -1, 0, 0], [0, 0, 0, -1, 0, 0, -1, 0], [1, 1, 1, 1, 0, 0, 0, -1], [-1, 0, 0, 0, 1, 1, 1, 1]]], 'group': '15.1', 'irreducible': True, 'label': '15.1.1d', 'order': 15}