{
    "1": {
        "pointgroup_international": "C1", 
        "schoenflies": "C1^1", 
        "pointgroup_schoenflies": "1", 
        "international_short": "P1", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
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        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 1, 
    "choice": "", 
    "international_full": "P 1", 
    "hall_symbol": "P 1", 
    "international": "P 1", 
    "arithmetic_crystal_class_number": 1, 
    "arithmetic_crystal_class_symbol": "1P"
  }, 
  "2": {
    "pointgroup_international": "Ci", 
    "schoenflies": "Ci^1", 
    "pointgroup_schoenflies": "-1", 
    "international_short": "P-1", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ]
    ], 
    "number": 2, 
    "choice": "", 
    "international_full": "P -1", 
    "hall_symbol": "-P 1", 
    "international": "P -1", 
    "arithmetic_crystal_class_number": 2, 
    "arithmetic_crystal_class_symbol": "-1P"
  }, 
  "3": {
    "pointgroup_international": "C2", 
    "schoenflies": "C2^1", 
    "pointgroup_schoenflies": "2", 
    "international_short": "P2", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ]
    ], 
    "number": 3, 
    "choice": "b", 
    "international_full": "P 1 2 1", 
    "hall_symbol": "P 2y", 
    "international": "P 2 = P 1 2 1", 
    "arithmetic_crystal_class_number": 3, 
    "arithmetic_crystal_class_symbol": "2P"
  }, 
  "4": {
    "pointgroup_international": "C2", 
    "schoenflies": "C2^1", 
    "pointgroup_schoenflies": "2", 
    "international_short": "P2", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
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    ], 
    "rotations": [
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        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 3, 
    "choice": "c", 
    "international_full": "P 1 1 2", 
    "hall_symbol": "P 2", 
    "international": "P 2 = P 1 1 2", 
    "arithmetic_crystal_class_number": 3, 
    "arithmetic_crystal_class_symbol": "2P"
  }, 
  "5": {
    "pointgroup_international": "C2", 
    "schoenflies": "C2^1", 
    "pointgroup_schoenflies": "2", 
    "international_short": "P2", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
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    ], 
    "rotations": [
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        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ]
    ], 
    "number": 3, 
    "choice": "a", 
    "international_full": "P 2 1 1", 
    "hall_symbol": "P 2x", 
    "international": "P 2 = P 2 1 1", 
    "arithmetic_crystal_class_number": 3, 
    "arithmetic_crystal_class_symbol": "2P"
  }, 
  "6": {
    "pointgroup_international": "C2", 
    "schoenflies": "C2^2", 
    "pointgroup_schoenflies": "2", 
    "international_short": "P2_1", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.5, 
        0.0
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    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ]
    ], 
    "number": 4, 
    "choice": "b", 
    "international_full": "P 1 2_1 1", 
    "hall_symbol": "P 2yb", 
    "international": "P 2_1 = P 1 2_1 1", 
    "arithmetic_crystal_class_number": 3, 
    "arithmetic_crystal_class_symbol": "2P"
  }, 
  "7": {
    "pointgroup_international": "C2", 
    "schoenflies": "C2^2", 
    "pointgroup_schoenflies": "2", 
    "international_short": "P2_1", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.5
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    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 4, 
    "choice": "c", 
    "international_full": "P 1 1 2_1", 
    "hall_symbol": "P 2c", 
    "international": "P 2_1 = P 1 1 2_1", 
    "arithmetic_crystal_class_number": 3, 
    "arithmetic_crystal_class_symbol": "2P"
  }, 
  "8": {
    "pointgroup_international": "C2", 
    "schoenflies": "C2^2", 
    "pointgroup_schoenflies": "2", 
    "international_short": "P2_1", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.0, 
        0.0
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    ], 
    "rotations": [
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        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ]
    ], 
    "number": 4, 
    "choice": "a", 
    "international_full": "P 2_1 1 1", 
    "hall_symbol": "P 2xa", 
    "international": "P 2_1 = P 2_1 1 1", 
    "arithmetic_crystal_class_number": 3, 
    "arithmetic_crystal_class_symbol": "2P"
  }, 
  "9": {
    "pointgroup_international": "C2", 
    "schoenflies": "C2^3", 
    "pointgroup_schoenflies": "2", 
    "international_short": "C2", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.5, 
        0.0
      ], 
      [
        0.5, 
        0.5, 
        0.0
      ]
    ], 
    "rotations": [
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        [
          1, 
          0, 
          0
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        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
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        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
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      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
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        [
          0, 
          0, 
          1
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      ], 
      [
        [
          -1, 
          0, 
          0
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        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ]
    ], 
    "number": 5, 
    "choice": "b1", 
    "international_full": "C 1 2 1", 
    "hall_symbol": "C 2y", 
    "international": "C 2 = C 1 2 1", 
    "arithmetic_crystal_class_number": 4, 
    "arithmetic_crystal_class_symbol": "2C"
  }, 
  "10": {
    "pointgroup_international": "C2", 
    "schoenflies": "C2^3", 
    "pointgroup_schoenflies": "2", 
    "international_short": "C2", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
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        0.0, 
        0.0, 
        0.0
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        0.5
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    "rotations": [
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          1, 
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        [
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          0, 
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          0, 
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          1, 
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          0, 
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      [
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          0, 
          0
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      [
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          0, 
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        [
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          1, 
          0
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        [
          0, 
          0, 
          -1
        ]
      ]
    ], 
    "number": 5, 
    "choice": "b2", 
    "international_full": "A 1 2 1", 
    "hall_symbol": "A 2y", 
    "international": "C 2 = A 1 2 1", 
    "arithmetic_crystal_class_number": 4, 
    "arithmetic_crystal_class_symbol": "2C"
  }, 
  "11": {
    "pointgroup_international": "C2", 
    "schoenflies": "C2^3", 
    "pointgroup_schoenflies": "2", 
    "international_short": "C2", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
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      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.5, 
        0.5
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      [
        0.5, 
        0.5, 
        0.5
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    "rotations": [
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        [
          1, 
          0, 
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          1, 
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        [
          0, 
          0, 
          1
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      [
        [
          -1, 
          0, 
          0
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        [
          0, 
          1, 
          0
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          0, 
          0, 
          -1
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      [
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          1, 
          0, 
          0
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        [
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          1, 
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          0, 
          1
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      [
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          -1, 
          0, 
          0
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        [
          0, 
          1, 
          0
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        [
          0, 
          0, 
          -1
        ]
      ]
    ], 
    "number": 5, 
    "choice": "b3", 
    "international_full": "I 1 2 1", 
    "hall_symbol": "I 2y", 
    "international": "C 2 = I 1 2 1", 
    "arithmetic_crystal_class_number": 4, 
    "arithmetic_crystal_class_symbol": "2C"
  }, 
  "12": {
    "pointgroup_international": "C2", 
    "schoenflies": "C2^3", 
    "pointgroup_schoenflies": "2", 
    "international_short": "C2", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
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      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.5, 
        0.5
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        0.0, 
        0.5, 
        0.5
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    ], 
    "rotations": [
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        [
          1, 
          0, 
          0
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        [
          0, 
          1, 
          0
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        [
          0, 
          0, 
          1
        ]
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      [
        [
          -1, 
          0, 
          0
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        [
          0, 
          -1, 
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        [
          0, 
          0, 
          1
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      [
        [
          1, 
          0, 
          0
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        [
          0, 
          1, 
          0
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        [
          0, 
          0, 
          1
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      [
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          -1, 
          0, 
          0
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        [
          0, 
          -1, 
          0
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        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 5, 
    "choice": "c1", 
    "international_full": "A 1 1 2", 
    "hall_symbol": "A 2", 
    "international": "C 2 = A 1 1 2", 
    "arithmetic_crystal_class_number": 4, 
    "arithmetic_crystal_class_symbol": "2C"
  }, 
  "13": {
    "pointgroup_international": "C2", 
    "schoenflies": "C2^3", 
    "pointgroup_schoenflies": "2", 
    "international_short": "C2", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.0, 
        0.5
      ], 
      [
        0.5, 
        0.0, 
        0.5
      ]
    ], 
    "rotations": [
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        [
          1, 
          0, 
          0
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        [
          0, 
          1, 
          0
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        [
          0, 
          0, 
          1
        ]
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      [
        [
          -1, 
          0, 
          0
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        [
          0, 
          -1, 
          0
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        [
          0, 
          0, 
          1
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      [
        [
          1, 
          0, 
          0
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        [
          0, 
          1, 
          0
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        [
          0, 
          0, 
          1
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      [
        [
          -1, 
          0, 
          0
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        [
          0, 
          -1, 
          0
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        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 5, 
    "choice": "c2", 
    "international_full": "B 1 1 2", 
    "hall_symbol": "B 2", 
    "international": "C 2 = B 1 1 2 = B 2", 
    "arithmetic_crystal_class_number": 4, 
    "arithmetic_crystal_class_symbol": "2C"
  }, 
  "14": {
    "pointgroup_international": "C2", 
    "schoenflies": "C2^3", 
    "pointgroup_schoenflies": "2", 
    "international_short": "C2", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
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      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.5, 
        0.5
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      [
        0.5, 
        0.5, 
        0.5
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    "rotations": [
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          1, 
          0, 
          0
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          0, 
          1
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          -1, 
          0, 
          0
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        [
          0, 
          -1, 
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          0, 
          1
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          1, 
          0, 
          0
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          0
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          0, 
          -1, 
          0
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        [
          0, 
          0, 
          1
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    ], 
    "number": 5, 
    "choice": "c3", 
    "international_full": "I 1 1 2", 
    "hall_symbol": "I 2", 
    "international": "C 2 = I 1 1 2", 
    "arithmetic_crystal_class_number": 4, 
    "arithmetic_crystal_class_symbol": "2C"
  }, 
  "15": {
    "pointgroup_international": "C2", 
    "schoenflies": "C2^3", 
    "pointgroup_schoenflies": "2", 
    "international_short": "C2", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
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      [
        0.0, 
        0.0, 
        0.0
      ], 
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        0.0, 
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        0.0, 
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    "rotations": [
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          1, 
          0, 
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          0, 
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          0, 
          1
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          1, 
          0, 
          0
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          0, 
          0
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          0, 
          0
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          -1, 
          0
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        [
          0, 
          0, 
          -1
        ]
      ]
    ], 
    "number": 5, 
    "choice": "a1", 
    "international_full": "B 2 1 1", 
    "hall_symbol": "B 2x", 
    "international": "C 2 = B 2 1 1", 
    "arithmetic_crystal_class_number": 4, 
    "arithmetic_crystal_class_symbol": "2C"
  }, 
  "16": {
    "pointgroup_international": "C2", 
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    "pointgroup_schoenflies": "2", 
    "international_short": "C2", 
    "translations": [
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        0.0, 
        0.0
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        0.0, 
        0.0
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          0, 
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          0, 
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          0
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        [
          0, 
          0, 
          -1
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    ], 
    "number": 5, 
    "choice": "a2", 
    "international_full": "C 2 1 1", 
    "hall_symbol": "C 2x", 
    "international": "C 2 = C 2 1 1", 
    "arithmetic_crystal_class_number": 4, 
    "arithmetic_crystal_class_symbol": "2C"
  }, 
  "17": {
    "pointgroup_international": "C2", 
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    "pointgroup_schoenflies": "2", 
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        0.0, 
        0.0
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        0.0, 
        0.0
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        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ]
    ], 
    "number": 5, 
    "choice": "a3", 
    "international_full": "I 2 1 1", 
    "hall_symbol": "I 2x", 
    "international": "C 2 = I 2 1 1", 
    "arithmetic_crystal_class_number": 4, 
    "arithmetic_crystal_class_symbol": "2C"
  }, 
  "18": {
    "pointgroup_international": "Cs", 
    "schoenflies": "Cs^1", 
    "pointgroup_schoenflies": "m", 
    "international_short": "Pm", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 6, 
    "choice": "b", 
    "international_full": "P 1 m 1", 
    "hall_symbol": "P -2y", 
    "international": "P m = P 1 m 1", 
    "arithmetic_crystal_class_number": 5, 
    "arithmetic_crystal_class_symbol": "mP"
  }, 
  "19": {
    "pointgroup_international": "Cs", 
    "schoenflies": "Cs^1", 
    "pointgroup_schoenflies": "m", 
    "international_short": "Pm", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ]
    ], 
    "number": 6, 
    "choice": "c", 
    "international_full": "P 1 1 m", 
    "hall_symbol": "P -2", 
    "international": "P m = P 1 1 m", 
    "arithmetic_crystal_class_number": 5, 
    "arithmetic_crystal_class_symbol": "mP"
  }, 
  "20": {
    "pointgroup_international": "Cs", 
    "schoenflies": "Cs^1", 
    "pointgroup_schoenflies": "m", 
    "international_short": "Pm", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 6, 
    "choice": "a", 
    "international_full": "P m 1 1", 
    "hall_symbol": "P -2x", 
    "international": "P m = P m 1 1", 
    "arithmetic_crystal_class_number": 5, 
    "arithmetic_crystal_class_symbol": "mP"
  }, 
  "21": {
    "pointgroup_international": "Cs", 
    "schoenflies": "Cs^2", 
    "pointgroup_schoenflies": "m", 
    "international_short": "Pc", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.5
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 7, 
    "choice": "b1", 
    "international_full": "P 1 c 1", 
    "hall_symbol": "P -2yc", 
    "international": "P c = P 1 c 1", 
    "arithmetic_crystal_class_number": 5, 
    "arithmetic_crystal_class_symbol": "mP"
  }, 
  "22": {
    "pointgroup_international": "Cs", 
    "schoenflies": "Cs^2", 
    "pointgroup_schoenflies": "m", 
    "international_short": "Pc", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.0, 
        0.5
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 7, 
    "choice": "b2", 
    "international_full": "P 1 n 1", 
    "hall_symbol": "P -2yac", 
    "international": "P c = P 1 n 1", 
    "arithmetic_crystal_class_number": 5, 
    "arithmetic_crystal_class_symbol": "mP"
  }, 
  "23": {
    "pointgroup_international": "Cs", 
    "schoenflies": "Cs^2", 
    "pointgroup_schoenflies": "m", 
    "international_short": "Pc", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.0, 
        0.0
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 7, 
    "choice": "b3", 
    "international_full": "P 1 a 1", 
    "hall_symbol": "P -2ya", 
    "international": "P c = P 1 a 1", 
    "arithmetic_crystal_class_number": 5, 
    "arithmetic_crystal_class_symbol": "mP"
  }, 
  "24": {
    "pointgroup_international": "Cs", 
    "schoenflies": "Cs^2", 
    "pointgroup_schoenflies": "m", 
    "international_short": "Pc", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.0, 
        0.0
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ]
    ], 
    "number": 7, 
    "choice": "c1", 
    "international_full": "P 1 1 a", 
    "hall_symbol": "P -2a", 
    "international": "P c = P 1 1 a", 
    "arithmetic_crystal_class_number": 5, 
    "arithmetic_crystal_class_symbol": "mP"
  }, 
  "25": {
    "pointgroup_international": "Cs", 
    "schoenflies": "Cs^2", 
    "pointgroup_schoenflies": "m", 
    "international_short": "Pc", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.5, 
        0.0
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ]
    ], 
    "number": 7, 
    "choice": "c2", 
    "international_full": "P 1 1 n", 
    "hall_symbol": "P -2ab", 
    "international": "P c = P 1 1 n", 
    "arithmetic_crystal_class_number": 5, 
    "arithmetic_crystal_class_symbol": "mP"
  }, 
  "26": {
    "pointgroup_international": "Cs", 
    "schoenflies": "Cs^2", 
    "pointgroup_schoenflies": "m", 
    "international_short": "Pc", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.5, 
        0.0
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ]
    ], 
    "number": 7, 
    "choice": "c3", 
    "international_full": "P 1 1 b", 
    "hall_symbol": "P -2b", 
    "international": "P c = P 1 1 b = P b", 
    "arithmetic_crystal_class_number": 5, 
    "arithmetic_crystal_class_symbol": "mP"
  }, 
  "27": {
    "pointgroup_international": "Cs", 
    "schoenflies": "Cs^2", 
    "pointgroup_schoenflies": "m", 
    "international_short": "Pc", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.5, 
        0.0
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 7, 
    "choice": "a1", 
    "international_full": "P b 1 1", 
    "hall_symbol": "P -2xb", 
    "international": "P c = P b 1 1", 
    "arithmetic_crystal_class_number": 5, 
    "arithmetic_crystal_class_symbol": "mP"
  }, 
  "28": {
    "pointgroup_international": "Cs", 
    "schoenflies": "Cs^2", 
    "pointgroup_schoenflies": "m", 
    "international_short": "Pc", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.5, 
        0.5
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 7, 
    "choice": "a2", 
    "international_full": "P n 1 1", 
    "hall_symbol": "P -2xbc", 
    "international": "P c = P n 1 1", 
    "arithmetic_crystal_class_number": 5, 
    "arithmetic_crystal_class_symbol": "mP"
  }, 
  "29": {
    "pointgroup_international": "Cs", 
    "schoenflies": "Cs^2", 
    "pointgroup_schoenflies": "m", 
    "international_short": "Pc", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.5
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 7, 
    "choice": "a3", 
    "international_full": "P c 1 1", 
    "hall_symbol": "P -2xc", 
    "international": "P c = P c 1 1", 
    "arithmetic_crystal_class_number": 5, 
    "arithmetic_crystal_class_symbol": "mP"
  }, 
  "30": {
    "pointgroup_international": "Cs", 
    "schoenflies": "Cs^3", 
    "pointgroup_schoenflies": "m", 
    "international_short": "Cm", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.5, 
        0.0
      ], 
      [
        0.5, 
        0.5, 
        0.0
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 8, 
    "choice": "b1", 
    "international_full": "C 1 m 1", 
    "hall_symbol": "C -2y", 
    "international": "C m = C 1 m 1", 
    "arithmetic_crystal_class_number": 6, 
    "arithmetic_crystal_class_symbol": "mC"
  }, 
  "31": {
    "pointgroup_international": "Cs", 
    "schoenflies": "Cs^3", 
    "pointgroup_schoenflies": "m", 
    "international_short": "Cm", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.5, 
        0.5
      ], 
      [
        0.0, 
        0.5, 
        0.5
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 8, 
    "choice": "b2", 
    "international_full": "A 1 m 1", 
    "hall_symbol": "A -2y", 
    "international": "C m = A 1 m 1", 
    "arithmetic_crystal_class_number": 6, 
    "arithmetic_crystal_class_symbol": "mC"
  }, 
  "32": {
    "pointgroup_international": "Cs", 
    "schoenflies": "Cs^3", 
    "pointgroup_schoenflies": "m", 
    "international_short": "Cm", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.5, 
        0.5
      ], 
      [
        0.5, 
        0.5, 
        0.5
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 8, 
    "choice": "b3", 
    "international_full": "I 1 m 1", 
    "hall_symbol": "I -2y", 
    "international": "C m = I 1 m 1", 
    "arithmetic_crystal_class_number": 6, 
    "arithmetic_crystal_class_symbol": "mC"
  }, 
  "33": {
    "pointgroup_international": "Cs", 
    "schoenflies": "Cs^3", 
    "pointgroup_schoenflies": "m", 
    "international_short": "Cm", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.5, 
        0.5
      ], 
      [
        0.0, 
        0.5, 
        0.5
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ]
    ], 
    "number": 8, 
    "choice": "c1", 
    "international_full": "A 1 1 m", 
    "hall_symbol": "A -2", 
    "international": "C m = A 1 1 m", 
    "arithmetic_crystal_class_number": 6, 
    "arithmetic_crystal_class_symbol": "mC"
  }, 
  "34": {
    "pointgroup_international": "Cs", 
    "schoenflies": "Cs^3", 
    "pointgroup_schoenflies": "m", 
    "international_short": "Cm", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.0, 
        0.5
      ], 
      [
        0.5, 
        0.0, 
        0.5
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ]
    ], 
    "number": 8, 
    "choice": "c2", 
    "international_full": "B 1 1 m", 
    "hall_symbol": "B -2", 
    "international": "C m = B 1 1 m = B m", 
    "arithmetic_crystal_class_number": 6, 
    "arithmetic_crystal_class_symbol": "mC"
  }, 
  "35": {
    "pointgroup_international": "Cs", 
    "schoenflies": "Cs^3", 
    "pointgroup_schoenflies": "m", 
    "international_short": "Cm", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.5, 
        0.5
      ], 
      [
        0.5, 
        0.5, 
        0.5
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ]
    ], 
    "number": 8, 
    "choice": "c3", 
    "international_full": "I 1 1 m", 
    "hall_symbol": "I -2", 
    "international": "C m = I 1 1 m", 
    "arithmetic_crystal_class_number": 6, 
    "arithmetic_crystal_class_symbol": "mC"
  }, 
  "36": {
    "pointgroup_international": "Cs", 
    "schoenflies": "Cs^3", 
    "pointgroup_schoenflies": "m", 
    "international_short": "Cm", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.0, 
        0.5
      ], 
      [
        0.5, 
        0.0, 
        0.5
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 8, 
    "choice": "a1", 
    "international_full": "B m 1 1", 
    "hall_symbol": "B -2x", 
    "international": "C m = B m 1 1", 
    "arithmetic_crystal_class_number": 6, 
    "arithmetic_crystal_class_symbol": "mC"
  }, 
  "37": {
    "pointgroup_international": "Cs", 
    "schoenflies": "Cs^3", 
    "pointgroup_schoenflies": "m", 
    "international_short": "Cm", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.5, 
        0.0
      ], 
      [
        0.5, 
        0.5, 
        0.0
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 8, 
    "choice": "a2", 
    "international_full": "C m 1 1", 
    "hall_symbol": "C -2x", 
    "international": "C m = C m 1 1", 
    "arithmetic_crystal_class_number": 6, 
    "arithmetic_crystal_class_symbol": "mC"
  }, 
  "38": {
    "pointgroup_international": "Cs", 
    "schoenflies": "Cs^3", 
    "pointgroup_schoenflies": "m", 
    "international_short": "Cm", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.5, 
        0.5
      ], 
      [
        0.5, 
        0.5, 
        0.5
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 8, 
    "choice": "a3", 
    "international_full": "I m 1 1", 
    "hall_symbol": "I -2x", 
    "international": "C m = I m 1 1", 
    "arithmetic_crystal_class_number": 6, 
    "arithmetic_crystal_class_symbol": "mC"
  }, 
  "39": {
    "pointgroup_international": "Cs", 
    "schoenflies": "Cs^4", 
    "pointgroup_schoenflies": "m", 
    "international_short": "Cc", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.5
      ], 
      [
        0.5, 
        0.5, 
        0.0
      ], 
      [
        0.5, 
        0.5, 
        0.5
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 9, 
    "choice": "b1", 
    "international_full": "C 1 c 1", 
    "hall_symbol": "C -2yc", 
    "international": "C c = C 1 c 1", 
    "arithmetic_crystal_class_number": 6, 
    "arithmetic_crystal_class_symbol": "mC"
  }, 
  "40": {
    "pointgroup_international": "Cs", 
    "schoenflies": "Cs^4", 
    "pointgroup_schoenflies": "m", 
    "international_short": "Cc", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.0, 
        0.5
      ], 
      [
        0.0, 
        0.5, 
        0.5
      ], 
      [
        0.5, 
        0.5, 
        0.0
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 9, 
    "choice": "b2", 
    "international_full": "A 1 n 1", 
    "hall_symbol": "A -2yac", 
    "international": "C c = A 1 n 1", 
    "arithmetic_crystal_class_number": 6, 
    "arithmetic_crystal_class_symbol": "mC"
  }, 
  "41": {
    "pointgroup_international": "Cs", 
    "schoenflies": "Cs^4", 
    "pointgroup_schoenflies": "m", 
    "international_short": "Cc", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.5, 
        0.5
      ], 
      [
        0.0, 
        0.5, 
        0.5
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 9, 
    "choice": "b3", 
    "international_full": "I 1 a 1", 
    "hall_symbol": "I -2ya", 
    "international": "C c = I 1 a 1", 
    "arithmetic_crystal_class_number": 6, 
    "arithmetic_crystal_class_symbol": "mC"
  }, 
  "42": {
    "pointgroup_international": "Cs", 
    "schoenflies": "Cs^4", 
    "pointgroup_schoenflies": "m", 
    "international_short": "Cc", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.5, 
        0.5
      ], 
      [
        0.5, 
        0.5, 
        0.5
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 9, 
    "choice": "-b1", 
    "international_full": "A 1 a 1", 
    "hall_symbol": "A -2ya", 
    "international": "C c = A 1 a 1", 
    "arithmetic_crystal_class_number": 6, 
    "arithmetic_crystal_class_symbol": "mC"
  }, 
  "43": {
    "pointgroup_international": "Cs", 
    "schoenflies": "Cs^4", 
    "pointgroup_schoenflies": "m", 
    "international_short": "Cc", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.5, 
        0.5
      ], 
      [
        0.5, 
        0.5, 
        0.0
      ], 
      [
        0.5, 
        0.0, 
        0.5
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 9, 
    "choice": "-b2", 
    "international_full": "C 1 n 1", 
    "hall_symbol": "C -2ybc", 
    "international": "C c = C 1 n 1", 
    "arithmetic_crystal_class_number": 6, 
    "arithmetic_crystal_class_symbol": "mC"
  }, 
  "44": {
    "pointgroup_international": "Cs", 
    "schoenflies": "Cs^4", 
    "pointgroup_schoenflies": "m", 
    "international_short": "Cc", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.5
      ], 
      [
        0.5, 
        0.5, 
        0.5
      ], 
      [
        0.5, 
        0.5, 
        0.0
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 9, 
    "choice": "-b3", 
    "international_full": "I 1 c 1", 
    "hall_symbol": "I -2yc", 
    "international": "C c = I 1 c 1", 
    "arithmetic_crystal_class_number": 6, 
    "arithmetic_crystal_class_symbol": "mC"
  }, 
  "45": {
    "pointgroup_international": "Cs", 
    "schoenflies": "Cs^4", 
    "pointgroup_schoenflies": "m", 
    "international_short": "Cc", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.5, 
        0.5
      ], 
      [
        0.5, 
        0.5, 
        0.5
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ]
    ], 
    "number": 9, 
    "choice": "c1", 
    "international_full": "A 1 1 a", 
    "hall_symbol": "A -2a", 
    "international": "C c = A 1 1 a", 
    "arithmetic_crystal_class_number": 6, 
    "arithmetic_crystal_class_symbol": "mC"
  }, 
  "46": {
    "pointgroup_international": "Cs", 
    "schoenflies": "Cs^4", 
    "pointgroup_schoenflies": "m", 
    "international_short": "Cc", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.5, 
        0.5
      ], 
      [
        0.5, 
        0.0, 
        0.5
      ], 
      [
        0.5, 
        0.5, 
        0.0
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ]
    ], 
    "number": 9, 
    "choice": "c2", 
    "international_full": "B 1 1 n", 
    "hall_symbol": "B -2bc", 
    "international": "C c = B 1 1 n", 
    "arithmetic_crystal_class_number": 6, 
    "arithmetic_crystal_class_symbol": "mC"
  }, 
  "47": {
    "pointgroup_international": "Cs", 
    "schoenflies": "Cs^4", 
    "pointgroup_schoenflies": "m", 
    "international_short": "Cc", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.5, 
        0.0
      ], 
      [
        0.5, 
        0.5, 
        0.5
      ], 
      [
        0.5, 
        0.0, 
        0.5
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ]
    ], 
    "number": 9, 
    "choice": "c3", 
    "international_full": "I 1 1 b", 
    "hall_symbol": "I -2b", 
    "international": "C c = I 1 1 b", 
    "arithmetic_crystal_class_number": 6, 
    "arithmetic_crystal_class_symbol": "mC"
  }, 
  "48": {
    "pointgroup_international": "Cs", 
    "schoenflies": "Cs^4", 
    "pointgroup_schoenflies": "m", 
    "international_short": "Cc", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.5, 
        0.0
      ], 
      [
        0.5, 
        0.0, 
        0.5
      ], 
      [
        0.5, 
        0.5, 
        0.5
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ]
    ], 
    "number": 9, 
    "choice": "-c1", 
    "international_full": "B 1 1 b", 
    "hall_symbol": "B -2b", 
    "international": "C c = B 1 1 b = B b", 
    "arithmetic_crystal_class_number": 6, 
    "arithmetic_crystal_class_symbol": "mC"
  }, 
  "49": {
    "pointgroup_international": "Cs", 
    "schoenflies": "Cs^4", 
    "pointgroup_schoenflies": "m", 
    "international_short": "Cc", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.0, 
        0.5
      ], 
      [
        0.0, 
        0.5, 
        0.5
      ], 
      [
        0.5, 
        0.5, 
        0.0
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ]
    ], 
    "number": 9, 
    "choice": "-c2", 
    "international_full": "A 1 1 n", 
    "hall_symbol": "A -2ac", 
    "international": "C c = A 1 1 n", 
    "arithmetic_crystal_class_number": 6, 
    "arithmetic_crystal_class_symbol": "mC"
  }, 
  "50": {
    "pointgroup_international": "Cs", 
    "schoenflies": "Cs^4", 
    "pointgroup_schoenflies": "m", 
    "international_short": "Cc", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.5, 
        0.5
      ], 
      [
        0.0, 
        0.5, 
        0.5
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ]
    ], 
    "number": 9, 
    "choice": "-c3", 
    "international_full": "I 1 1 a", 
    "hall_symbol": "I -2a", 
    "international": "C c = I 1 1 a", 
    "arithmetic_crystal_class_number": 6, 
    "arithmetic_crystal_class_symbol": "mC"
  }, 
  "51": {
    "pointgroup_international": "Cs", 
    "schoenflies": "Cs^4", 
    "pointgroup_schoenflies": "m", 
    "international_short": "Cc", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.5, 
        0.0
      ], 
      [
        0.5, 
        0.0, 
        0.5
      ], 
      [
        0.5, 
        0.5, 
        0.5
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 9, 
    "choice": "a1", 
    "international_full": "B b 1 1", 
    "hall_symbol": "B -2xb", 
    "international": "C c = B b 1 1", 
    "arithmetic_crystal_class_number": 6, 
    "arithmetic_crystal_class_symbol": "mC"
  }, 
  "52": {
    "pointgroup_international": "Cs", 
    "schoenflies": "Cs^4", 
    "pointgroup_schoenflies": "m", 
    "international_short": "Cc", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.5, 
        0.5
      ], 
      [
        0.5, 
        0.5, 
        0.0
      ], 
      [
        0.5, 
        0.0, 
        0.5
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 9, 
    "choice": "a2", 
    "international_full": "C n 1 1", 
    "hall_symbol": "C -2xbc", 
    "international": "C c = C n 1 1", 
    "arithmetic_crystal_class_number": 6, 
    "arithmetic_crystal_class_symbol": "mC"
  }, 
  "53": {
    "pointgroup_international": "Cs", 
    "schoenflies": "Cs^4", 
    "pointgroup_schoenflies": "m", 
    "international_short": "Cc", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.5
      ], 
      [
        0.5, 
        0.5, 
        0.5
      ], 
      [
        0.5, 
        0.5, 
        0.0
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 9, 
    "choice": "a3", 
    "international_full": "I c 1 1", 
    "hall_symbol": "I -2xc", 
    "international": "C c = I c 1 1", 
    "arithmetic_crystal_class_number": 6, 
    "arithmetic_crystal_class_symbol": "mC"
  }, 
  "54": {
    "pointgroup_international": "Cs", 
    "schoenflies": "Cs^4", 
    "pointgroup_schoenflies": "m", 
    "international_short": "Cc", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.5
      ], 
      [
        0.5, 
        0.5, 
        0.0
      ], 
      [
        0.5, 
        0.5, 
        0.5
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 9, 
    "choice": "-a1", 
    "international_full": "C c 1 1", 
    "hall_symbol": "C -2xc", 
    "international": "C c = C c 1 1", 
    "arithmetic_crystal_class_number": 6, 
    "arithmetic_crystal_class_symbol": "mC"
  }, 
  "55": {
    "pointgroup_international": "Cs", 
    "schoenflies": "Cs^4", 
    "pointgroup_schoenflies": "m", 
    "international_short": "Cc", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.5, 
        0.5
      ], 
      [
        0.5, 
        0.0, 
        0.5
      ], 
      [
        0.5, 
        0.5, 
        0.0
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 9, 
    "choice": "-a2", 
    "international_full": "B n 1 1", 
    "hall_symbol": "B -2xbc", 
    "international": "C c = B n 1 1", 
    "arithmetic_crystal_class_number": 6, 
    "arithmetic_crystal_class_symbol": "mC"
  }, 
  "56": {
    "pointgroup_international": "Cs", 
    "schoenflies": "Cs^4", 
    "pointgroup_schoenflies": "m", 
    "international_short": "Cc", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.5, 
        0.0
      ], 
      [
        0.5, 
        0.5, 
        0.5
      ], 
      [
        0.5, 
        0.0, 
        0.5
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 9, 
    "choice": "-a3", 
    "international_full": "I b 1 1", 
    "hall_symbol": "I -2xb", 
    "international": "C c = I b 1 1", 
    "arithmetic_crystal_class_number": 6, 
    "arithmetic_crystal_class_symbol": "mC"
  }, 
  "57": {
    "pointgroup_international": "C2h", 
    "schoenflies": "C2h^1", 
    "pointgroup_schoenflies": "2/m", 
    "international_short": "P2/m", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 10, 
    "choice": "b", 
    "international_full": "P 1 2/m 1", 
    "hall_symbol": "-P 2y", 
    "international": "P 2/m = P 1 2/m 1", 
    "arithmetic_crystal_class_number": 7, 
    "arithmetic_crystal_class_symbol": "2/mP"
  }, 
  "58": {
    "pointgroup_international": "C2h", 
    "schoenflies": "C2h^1", 
    "pointgroup_schoenflies": "2/m", 
    "international_short": "P2/m", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ]
    ], 
    "number": 10, 
    "choice": "c", 
    "international_full": "P 1 1 2/m", 
    "hall_symbol": "-P 2", 
    "international": "P 2/m = P 1 1 2/m", 
    "arithmetic_crystal_class_number": 7, 
    "arithmetic_crystal_class_symbol": "2/mP"
  }, 
  "59": {
    "pointgroup_international": "C2h", 
    "schoenflies": "C2h^1", 
    "pointgroup_schoenflies": "2/m", 
    "international_short": "P2/m", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 10, 
    "choice": "a", 
    "international_full": "P 2/m 1 1", 
    "hall_symbol": "-P 2x", 
    "international": "P 2/m = P 2/m 1 1", 
    "arithmetic_crystal_class_number": 7, 
    "arithmetic_crystal_class_symbol": "2/mP"
  }, 
  "60": {
    "pointgroup_international": "C2h", 
    "schoenflies": "C2h^2", 
    "pointgroup_schoenflies": "2/m", 
    "international_short": "P2_1/m", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.5, 
        0.0
      ], 
      [
        0.0, 
        0.5, 
        0.0
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 11, 
    "choice": "b", 
    "international_full": "P 1 2_1/m 1", 
    "hall_symbol": "-P 2yb", 
    "international": "P 2_1/m = P 1 2_1/m 1", 
    "arithmetic_crystal_class_number": 7, 
    "arithmetic_crystal_class_symbol": "2/mP"
  }, 
  "61": {
    "pointgroup_international": "C2h", 
    "schoenflies": "C2h^2", 
    "pointgroup_schoenflies": "2/m", 
    "international_short": "P2_1/m", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.5
      ], 
      [
        0.0, 
        0.0, 
        0.5
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ]
    ], 
    "number": 11, 
    "choice": "c", 
    "international_full": "P 1 1 2_1/m", 
    "hall_symbol": "-P 2c", 
    "international": "P 2_1/m = P 1 1 2_1/m", 
    "arithmetic_crystal_class_number": 7, 
    "arithmetic_crystal_class_symbol": "2/mP"
  }, 
  "62": {
    "pointgroup_international": "C2h", 
    "schoenflies": "C2h^2", 
    "pointgroup_schoenflies": "2/m", 
    "international_short": "P2_1/m", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.0, 
        0.0
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 11, 
    "choice": "a", 
    "international_full": "P 2_1/m 1 1", 
    "hall_symbol": "-P 2xa", 
    "international": "P 2_1/m = P 2_1/m 1 1", 
    "arithmetic_crystal_class_number": 7, 
    "arithmetic_crystal_class_symbol": "2/mP"
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    "pointgroup_international": "C2h", 
    "schoenflies": "C2h^3", 
    "pointgroup_schoenflies": "2/m", 
    "international_short": "C2/m", 
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        0.0, 
        0.0, 
        0.0
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        0.0, 
        0.0, 
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        0.0, 
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        0.0
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    "number": 12, 
    "choice": "b1", 
    "international_full": "C 1 2/m 1", 
    "hall_symbol": "-C 2y", 
    "international": "C 2/m = C 1 2/m 1", 
    "arithmetic_crystal_class_number": 8, 
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    "pointgroup_international": "C2h", 
    "schoenflies": "C2h^3", 
    "pointgroup_schoenflies": "2/m", 
    "international_short": "C2/m", 
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        0.0, 
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    "number": 12, 
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    "international_full": "A 1 2/m 1", 
    "hall_symbol": "-A 2y", 
    "international": "C 2/m = A 1 2/m 1", 
    "arithmetic_crystal_class_number": 8, 
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    "pointgroup_international": "C2h", 
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    "pointgroup_schoenflies": "2/m", 
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        0.0, 
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    "number": 12, 
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    "international_full": "I 1 2/m 1", 
    "hall_symbol": "-I 2y", 
    "international": "C 2/m = I 1 2/m 1", 
    "arithmetic_crystal_class_number": 8, 
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    "pointgroup_international": "C2h", 
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    "number": 12, 
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    "international_full": "A 1 1 2/m", 
    "hall_symbol": "-A 2", 
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    "pointgroup_international": "C2h", 
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    "international_full": "B 1 1 2/m", 
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  "68": {
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  "69": {
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    "number": 12, 
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    "number": 12, 
    "choice": "a2", 
    "international_full": "C 2/m 1 1", 
    "hall_symbol": "-C 2x", 
    "international": "C 2/m = C 2/m 1 1", 
    "arithmetic_crystal_class_number": 8, 
    "arithmetic_crystal_class_symbol": "2/mC"
  }, 
  "71": {
    "pointgroup_international": "C2h", 
    "schoenflies": "C2h^3", 
    "pointgroup_schoenflies": "2/m", 
    "international_short": "C2/m", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.5, 
        0.5
      ], 
      [
        0.5, 
        0.5, 
        0.5
      ], 
      [
        0.5, 
        0.5, 
        0.5
      ], 
      [
        0.5, 
        0.5, 
        0.5
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 12, 
    "choice": "a3", 
    "international_full": "I 2/m 1 1", 
    "hall_symbol": "-I 2x", 
    "international": "C 2/m = I 2/m 1 1", 
    "arithmetic_crystal_class_number": 8, 
    "arithmetic_crystal_class_symbol": "2/mC"
  }, 
  "72": {
    "pointgroup_international": "C2h", 
    "schoenflies": "C2h^4", 
    "pointgroup_schoenflies": "2/m", 
    "international_short": "P2/c", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.5
      ], 
      [
        0.0, 
        0.0, 
        0.5
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 13, 
    "choice": "b1", 
    "international_full": "P 1 2/c 1", 
    "hall_symbol": "-P 2yc", 
    "international": "P 2/c = P 1 2/c 1", 
    "arithmetic_crystal_class_number": 7, 
    "arithmetic_crystal_class_symbol": "2/mP"
  }, 
  "73": {
    "pointgroup_international": "C2h", 
    "schoenflies": "C2h^4", 
    "pointgroup_schoenflies": "2/m", 
    "international_short": "P2/c", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.0, 
        0.5
      ], 
      [
        0.5, 
        0.0, 
        0.5
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 13, 
    "choice": "b2", 
    "international_full": "P 1 2/n 1", 
    "hall_symbol": "-P 2yac", 
    "international": "P 2/c = P 1 2/n 1", 
    "arithmetic_crystal_class_number": 7, 
    "arithmetic_crystal_class_symbol": "2/mP"
  }, 
  "74": {
    "pointgroup_international": "C2h", 
    "schoenflies": "C2h^4", 
    "pointgroup_schoenflies": "2/m", 
    "international_short": "P2/c", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.0, 
        0.0
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 13, 
    "choice": "b3", 
    "international_full": "P 1 2/a 1", 
    "hall_symbol": "-P 2ya", 
    "international": "P 2/c = P 1 2/a 1", 
    "arithmetic_crystal_class_number": 7, 
    "arithmetic_crystal_class_symbol": "2/mP"
  }, 
  "75": {
    "pointgroup_international": "C2h", 
    "schoenflies": "C2h^4", 
    "pointgroup_schoenflies": "2/m", 
    "international_short": "P2/c", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.0, 
        0.0
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ]
    ], 
    "number": 13, 
    "choice": "c1", 
    "international_full": "P 1 1 2/a", 
    "hall_symbol": "-P 2a", 
    "international": "P 2/c = P 1 1 2/a", 
    "arithmetic_crystal_class_number": 7, 
    "arithmetic_crystal_class_symbol": "2/mP"
  }, 
  "76": {
    "pointgroup_international": "C2h", 
    "schoenflies": "C2h^4", 
    "pointgroup_schoenflies": "2/m", 
    "international_short": "P2/c", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.5, 
        0.0
      ], 
      [
        0.5, 
        0.5, 
        0.0
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ]
    ], 
    "number": 13, 
    "choice": "c2", 
    "international_full": "P 1 1 2/n", 
    "hall_symbol": "-P 2ab", 
    "international": "P 2/c = P 1 1 2/n", 
    "arithmetic_crystal_class_number": 7, 
    "arithmetic_crystal_class_symbol": "2/mP"
  }, 
  "77": {
    "pointgroup_international": "C2h", 
    "schoenflies": "C2h^4", 
    "pointgroup_schoenflies": "2/m", 
    "international_short": "P2/c", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.5, 
        0.0
      ], 
      [
        0.0, 
        0.5, 
        0.0
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ]
    ], 
    "number": 13, 
    "choice": "c3", 
    "international_full": "P 1 1 2/b", 
    "hall_symbol": "-P 2b", 
    "international": "P 2/c = P 1 1 2/b = P 2/b", 
    "arithmetic_crystal_class_number": 7, 
    "arithmetic_crystal_class_symbol": "2/mP"
  }, 
  "78": {
    "pointgroup_international": "C2h", 
    "schoenflies": "C2h^4", 
    "pointgroup_schoenflies": "2/m", 
    "international_short": "P2/c", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.5, 
        0.0
      ], 
      [
        0.0, 
        0.5, 
        0.0
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 13, 
    "choice": "a1", 
    "international_full": "P 2/b 1 1", 
    "hall_symbol": "-P 2xb", 
    "international": "P 2/c = P 2/b 1 1", 
    "arithmetic_crystal_class_number": 7, 
    "arithmetic_crystal_class_symbol": "2/mP"
  }, 
  "79": {
    "pointgroup_international": "C2h", 
    "schoenflies": "C2h^4", 
    "pointgroup_schoenflies": "2/m", 
    "international_short": "P2/c", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.5, 
        0.5
      ], 
      [
        0.0, 
        0.5, 
        0.5
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 13, 
    "choice": "a2", 
    "international_full": "P 2/n 1 1", 
    "hall_symbol": "-P 2xbc", 
    "international": "P 2/c = P 2/n 1 1", 
    "arithmetic_crystal_class_number": 7, 
    "arithmetic_crystal_class_symbol": "2/mP"
  }, 
  "80": {
    "pointgroup_international": "C2h", 
    "schoenflies": "C2h^4", 
    "pointgroup_schoenflies": "2/m", 
    "international_short": "P2/c", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.5
      ], 
      [
        0.0, 
        0.0, 
        0.5
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 13, 
    "choice": "a3", 
    "international_full": "P 2/c 1 1", 
    "hall_symbol": "-P 2xc", 
    "international": "P 2/c = P 2/c 1 1", 
    "arithmetic_crystal_class_number": 7, 
    "arithmetic_crystal_class_symbol": "2/mP"
  }, 
  "81": {
    "pointgroup_international": "C2h", 
    "schoenflies": "C2h^5", 
    "pointgroup_schoenflies": "2/m", 
    "international_short": "P2_1/c", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.5, 
        0.5
      ], 
      [
        0.0, 
        0.5, 
        0.5
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 14, 
    "choice": "b1", 
    "international_full": "P 1 2_1/c 1", 
    "hall_symbol": "-P 2ybc", 
    "international": "P 2_1/c = P 1 2_1/c 1", 
    "arithmetic_crystal_class_number": 7, 
    "arithmetic_crystal_class_symbol": "2/mP"
  }, 
  "82": {
    "pointgroup_international": "C2h", 
    "schoenflies": "C2h^5", 
    "pointgroup_schoenflies": "2/m", 
    "international_short": "P2_1/c", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.5, 
        0.5
      ], 
      [
        0.5, 
        0.5, 
        0.5
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 14, 
    "choice": "b2", 
    "international_full": "P 1 2_1/n 1", 
    "hall_symbol": "-P 2yn", 
    "international": "P 2_1/c = P 1 2_1/n 1", 
    "arithmetic_crystal_class_number": 7, 
    "arithmetic_crystal_class_symbol": "2/mP"
  }, 
  "83": {
    "pointgroup_international": "C2h", 
    "schoenflies": "C2h^5", 
    "pointgroup_schoenflies": "2/m", 
    "international_short": "P2_1/c", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.5, 
        0.0
      ], 
      [
        0.5, 
        0.5, 
        0.0
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
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        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 14, 
    "choice": "b3", 
    "international_full": "P 1 2_1/a 1", 
    "hall_symbol": "-P 2yab", 
    "international": "P 2_1/c = P 1 2_1/a 1", 
    "arithmetic_crystal_class_number": 7, 
    "arithmetic_crystal_class_symbol": "2/mP"
  }, 
  "84": {
    "pointgroup_international": "C2h", 
    "schoenflies": "C2h^5", 
    "pointgroup_schoenflies": "2/m", 
    "international_short": "P2_1/c", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.0, 
        0.5
      ], 
      [
        0.5, 
        0.0, 
        0.5
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ]
    ], 
    "number": 14, 
    "choice": "c1", 
    "international_full": "P 1 1 2_1/a", 
    "hall_symbol": "-P 2ac", 
    "international": "P 2_1/c = P 1 1 2_1/a", 
    "arithmetic_crystal_class_number": 7, 
    "arithmetic_crystal_class_symbol": "2/mP"
  }, 
  "85": {
    "pointgroup_international": "C2h", 
    "schoenflies": "C2h^5", 
    "pointgroup_schoenflies": "2/m", 
    "international_short": "P2_1/c", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.5, 
        0.5
      ], 
      [
        0.5, 
        0.5, 
        0.5
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ]
    ], 
    "number": 14, 
    "choice": "c2", 
    "international_full": "P 1 1 2_1/n", 
    "hall_symbol": "-P 2n", 
    "international": "P 2_1/c = P 1 1 2_1/n", 
    "arithmetic_crystal_class_number": 7, 
    "arithmetic_crystal_class_symbol": "2/mP"
  }, 
  "86": {
    "pointgroup_international": "C2h", 
    "schoenflies": "C2h^5", 
    "pointgroup_schoenflies": "2/m", 
    "international_short": "P2_1/c", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.5, 
        0.5
      ], 
      [
        0.0, 
        0.5, 
        0.5
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ]
    ], 
    "number": 14, 
    "choice": "c3", 
    "international_full": "P 1 1 2_1/b", 
    "hall_symbol": "-P 2bc", 
    "international": "P 2_1/c = P 1 1 2_1/b = P 2_1/b", 
    "arithmetic_crystal_class_number": 7, 
    "arithmetic_crystal_class_symbol": "2/mP"
  }, 
  "87": {
    "pointgroup_international": "C2h", 
    "schoenflies": "C2h^5", 
    "pointgroup_schoenflies": "2/m", 
    "international_short": "P2_1/c", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.5, 
        0.0
      ], 
      [
        0.5, 
        0.5, 
        0.0
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 14, 
    "choice": "a1", 
    "international_full": "P 2_1/b 1 1", 
    "hall_symbol": "-P 2xab", 
    "international": "P 2_1/c = P 2_1/b 1 1", 
    "arithmetic_crystal_class_number": 7, 
    "arithmetic_crystal_class_symbol": "2/mP"
  }, 
  "88": {
    "pointgroup_international": "C2h", 
    "schoenflies": "C2h^5", 
    "pointgroup_schoenflies": "2/m", 
    "international_short": "P2_1/c", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.5, 
        0.5
      ], 
      [
        0.5, 
        0.5, 
        0.5
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 14, 
    "choice": "a2", 
    "international_full": "P 2_1/n 1 1", 
    "hall_symbol": "-P 2xn", 
    "international": "P 2_1/c = P 2_1/n 1 1", 
    "arithmetic_crystal_class_number": 7, 
    "arithmetic_crystal_class_symbol": "2/mP"
  }, 
  "89": {
    "pointgroup_international": "C2h", 
    "schoenflies": "C2h^5", 
    "pointgroup_schoenflies": "2/m", 
    "international_short": "P2_1/c", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.0, 
        0.5
      ], 
      [
        0.5, 
        0.0, 
        0.5
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    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 14, 
    "choice": "a3", 
    "international_full": "P 2_1/c 1 1", 
    "hall_symbol": "-P 2xac", 
    "international": "P 2_1/c = P 2_1/c 1 1", 
    "arithmetic_crystal_class_number": 7, 
    "arithmetic_crystal_class_symbol": "2/mP"
  }, 
  "90": {
    "pointgroup_international": "C2h", 
    "schoenflies": "C2h^6", 
    "pointgroup_schoenflies": "2/m", 
    "international_short": "C2/c", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.5
      ], 
      [
        0.0, 
        0.0, 
        0.5
      ], 
      [
        0.5, 
        0.5, 
        0.0
      ], 
      [
        0.5, 
        0.5, 
        0.0
      ], 
      [
        0.5, 
        0.5, 
        0.5
      ], 
      [
        0.5, 
        0.5, 
        0.5
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          -1
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      ], 
      [
        [
          -1, 
          0, 
          0
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        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
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      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 15, 
    "choice": "b1", 
    "international_full": "C 1 2/c 1", 
    "hall_symbol": "-C 2yc", 
    "international": "C 2/c = C 1 2/c 1", 
    "arithmetic_crystal_class_number": 8, 
    "arithmetic_crystal_class_symbol": "2/mC"
  }, 
  "91": {
    "pointgroup_international": "C2h", 
    "schoenflies": "C2h^6", 
    "pointgroup_schoenflies": "2/m", 
    "international_short": "C2/c", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.0, 
        0.5
      ], 
      [
        0.5, 
        0.0, 
        0.5
      ], 
      [
        0.0, 
        0.5, 
        0.5
      ], 
      [
        0.0, 
        0.5, 
        0.5
      ], 
      [
        0.5, 
        0.5, 
        0.0
      ], 
      [
        0.5, 
        0.5, 
        0.0
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
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        [
          0, 
          1, 
          0
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        [
          0, 
          0, 
          1
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      ], 
      [
        [
          -1, 
          0, 
          0
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        [
          0, 
          -1, 
          0
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        [
          0, 
          0, 
          -1
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      ], 
      [
        [
          -1, 
          0, 
          0
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        [
          0, 
          1, 
          0
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        [
          0, 
          0, 
          -1
        ]
      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
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      ], 
      [
        [
          1, 
          0, 
          0
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        [
          0, 
          1, 
          0
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        [
          0, 
          0, 
          1
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      ], 
      [
        [
          -1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          -1
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      ], 
      [
        [
          -1, 
          0, 
          0
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        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          -1
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      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 15, 
    "choice": "b2", 
    "international_full": "A 1 2/n 1", 
    "hall_symbol": "-A 2yac", 
    "international": "C 2/c = A 1 2/n 1", 
    "arithmetic_crystal_class_number": 8, 
    "arithmetic_crystal_class_symbol": "2/mC"
  }, 
  "92": {
    "pointgroup_international": "C2h", 
    "schoenflies": "C2h^6", 
    "pointgroup_schoenflies": "2/m", 
    "international_short": "C2/c", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.5, 
        0.5
      ], 
      [
        0.5, 
        0.5, 
        0.5
      ], 
      [
        0.0, 
        0.5, 
        0.5
      ], 
      [
        0.0, 
        0.5, 
        0.5
      ]
    ], 
    "rotations": [
      [
        [
          1, 
          0, 
          0
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        [
          0, 
          1, 
          0
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        [
          0, 
          0, 
          1
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      ], 
      [
        [
          -1, 
          0, 
          0
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        [
          0, 
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      [
        [
          -1, 
          0, 
          0
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        [
          0, 
          1, 
          0
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        [
          0, 
          0, 
          -1
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      [
        [
          1, 
          0, 
          0
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        [
          0, 
          -1, 
          0
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        [
          0, 
          0, 
          1
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      ], 
      [
        [
          1, 
          0, 
          0
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        [
          0, 
          1, 
          0
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        [
          0, 
          0, 
          1
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      [
        [
          -1, 
          0, 
          0
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        [
          0, 
          -1, 
          0
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        [
          0, 
          0, 
          -1
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      ], 
      [
        [
          -1, 
          0, 
          0
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        [
          0, 
          1, 
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        [
          0, 
          0, 
          -1
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      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 15, 
    "choice": "b3", 
    "international_full": "I 1 2/a 1", 
    "hall_symbol": "-I 2ya", 
    "international": "C 2/c = I 1 2/a 1", 
    "arithmetic_crystal_class_number": 8, 
    "arithmetic_crystal_class_symbol": "2/mC"
  }, 
  "93": {
    "pointgroup_international": "C2h", 
    "schoenflies": "C2h^6", 
    "pointgroup_schoenflies": "2/m", 
    "international_short": "C2/c", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
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      [
        0.0, 
        0.0, 
        0.0
      ], 
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        0.5, 
        0.0, 
        0.0
      ], 
      [
        0.5, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.5, 
        0.5
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      [
        0.0, 
        0.5, 
        0.5
      ], 
      [
        0.5, 
        0.5, 
        0.5
      ], 
      [
        0.5, 
        0.5, 
        0.5
      ]
    ], 
    "rotations": [
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        [
          1, 
          0, 
          0
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        [
          0, 
          1, 
          0
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        [
          0, 
          0, 
          1
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          -1, 
          0, 
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          -1, 
          0, 
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        [
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          1, 
          0, 
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          0, 
          -1, 
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        [
          0, 
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        [
          1, 
          0, 
          0
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        [
          0, 
          1, 
          0
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        [
          0, 
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          1
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        [
          -1, 
          0, 
          0
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        [
          0, 
          -1, 
          0
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        [
          0, 
          0, 
          -1
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      [
        [
          -1, 
          0, 
          0
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        [
          0, 
          1, 
          0
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        [
          0, 
          0, 
          -1
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      ], 
      [
        [
          1, 
          0, 
          0
        ], 
        [
          0, 
          -1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 15, 
    "choice": "-b1", 
    "international_full": "A 1 2/a 1", 
    "hall_symbol": "-A 2ya", 
    "international": "C 2/c = A 1 2/a 1", 
    "arithmetic_crystal_class_number": 8, 
    "arithmetic_crystal_class_symbol": "2/mC"
  }, 
  "94": {
    "pointgroup_international": "C2h", 
    "schoenflies": "C2h^6", 
    "pointgroup_schoenflies": "2/m", 
    "international_short": "C2/c", 
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        0.0, 
        0.0, 
        0.0
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      [
        0.0, 
        0.0, 
        0.0
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      [
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        0.0, 
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        [
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    ], 
    "number": 15, 
    "choice": "-b2", 
    "international_full": "C 1 2/n 1", 
    "hall_symbol": "-C 2ybc", 
    "international": "C 2/c = C 1 2/n 1", 
    "arithmetic_crystal_class_number": 8, 
    "arithmetic_crystal_class_symbol": "2/mC"
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  "95": {
    "pointgroup_international": "C2h", 
    "schoenflies": "C2h^6", 
    "pointgroup_schoenflies": "2/m", 
    "international_short": "C2/c", 
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        0.0, 
        0.0, 
        0.0
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      [
        0.0, 
        0.0, 
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        0.5
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        0.5
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      [
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        0.0
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      [
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        0.0
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        [
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      [
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      [
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        [
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        [
          0, 
          0, 
          1
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      ]
    ], 
    "number": 15, 
    "choice": "-b3", 
    "international_full": "I 1 2/c 1", 
    "hall_symbol": "-I 2yc", 
    "international": "C 2/c = I 1 2/c 1", 
    "arithmetic_crystal_class_number": 8, 
    "arithmetic_crystal_class_symbol": "2/mC"
  }, 
  "96": {
    "pointgroup_international": "C2h", 
    "schoenflies": "C2h^6", 
    "pointgroup_schoenflies": "2/m", 
    "international_short": "C2/c", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
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      [
        0.0, 
        0.0, 
        0.0
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      [
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        0.0
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      [
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        0.0
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      [
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        0.5
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      [
        0.0, 
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        0.5
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      [
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        0.5, 
        0.5
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      [
        0.5, 
        0.5, 
        0.5
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    ], 
    "rotations": [
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          1, 
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        [
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        [
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        [
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        [
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        [
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          -1
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      ]
    ], 
    "number": 15, 
    "choice": "c1", 
    "international_full": "A 1 1 2/a", 
    "hall_symbol": "-A 2a", 
    "international": "C 2/c = A 1 1 2/a", 
    "arithmetic_crystal_class_number": 8, 
    "arithmetic_crystal_class_symbol": "2/mC"
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  "97": {
    "pointgroup_international": "C2h", 
    "schoenflies": "C2h^6", 
    "pointgroup_schoenflies": "2/m", 
    "international_short": "C2/c", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
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      [
        0.0, 
        0.0, 
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      [
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    "number": 15, 
    "choice": "c2", 
    "international_full": "B 1 1 2/n", 
    "hall_symbol": "-B 2bc", 
    "international": "C 2/c = B 1 1 2/n", 
    "arithmetic_crystal_class_number": 8, 
    "arithmetic_crystal_class_symbol": "2/mC"
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  "98": {
    "pointgroup_international": "C2h", 
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    "pointgroup_schoenflies": "2/m", 
    "international_short": "C2/c", 
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        0.0, 
        0.0, 
        0.0
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      [
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    "number": 15, 
    "choice": "c3", 
    "international_full": "I 1 1 2/b", 
    "hall_symbol": "-I 2b", 
    "international": "C 2/c = I 1 1 2/b", 
    "arithmetic_crystal_class_number": 8, 
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  }, 
  "99": {
    "pointgroup_international": "C2h", 
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        0.0, 
        0.0, 
        0.0
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      [
        0.0, 
        0.0, 
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        [
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    "number": 15, 
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    "international_full": "B 1 1 2/b", 
    "hall_symbol": "-B 2b", 
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    "arithmetic_crystal_class_symbol": "2/mC"
  }, 
  "100": {
    "pointgroup_international": "C2h", 
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        0.0, 
        0.0, 
        0.0
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        0.0, 
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    ], 
    "number": 15, 
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    "international_full": "A 1 1 2/n", 
    "hall_symbol": "-A 2ac", 
    "international": "C 2/c = A 1 1 2/n", 
    "arithmetic_crystal_class_number": 8, 
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  }, 
  "101": {
    "pointgroup_international": "C2h", 
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        0.0, 
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    ], 
    "number": 15, 
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    "international_full": "I 1 1 2/a", 
    "hall_symbol": "-I 2a", 
    "international": "C 2/c = I 1 1 2/a", 
    "arithmetic_crystal_class_number": 8, 
    "arithmetic_crystal_class_symbol": "2/mC"
  }, 
  "102": {
    "pointgroup_international": "C2h", 
    "schoenflies": "C2h^6", 
    "pointgroup_schoenflies": "2/m", 
    "international_short": "C2/c", 
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      [
        0.0, 
        0.0, 
        0.0
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      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
        0.5, 
        0.0
      ], 
      [
        0.0, 
        0.5, 
        0.0
      ], 
      [
        0.5, 
        0.0, 
        0.5
      ], 
      [
        0.5, 
        0.0, 
        0.5
      ], 
      [
        0.5, 
        0.5, 
        0.5
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      [
        0.5, 
        0.5, 
        0.5
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    ], 
    "rotations": [
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        [
          1, 
          0, 
          0
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          0, 
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        [
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          1
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      [
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        [
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        [
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          -1
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      ], 
      [
        [
          -1, 
          0, 
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        [
          0, 
          1, 
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        [
          0, 
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          1, 
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          1, 
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        [
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        [
          0, 
          -1, 
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        [
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          -1, 
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        [
          0, 
          1, 
          0
        ], 
        [
          0, 
          0, 
          1
        ]
      ]
    ], 
    "number": 15, 
    "choice": "a1", 
    "international_full": "B 2/b 1 1", 
    "hall_symbol": "-B 2xb", 
    "international": "C 2/c = B 2/b 1 1", 
    "arithmetic_crystal_class_number": 8, 
    "arithmetic_crystal_class_symbol": "2/mC"
  }, 
  "103": {
    "pointgroup_international": "C2h", 
    "schoenflies": "C2h^6", 
    "pointgroup_schoenflies": "2/m", 
    "international_short": "C2/c", 
    "translations": [
      [
        0.0, 
        0.0, 
        0.0
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      [
        0.0, 
        0.0, 
        0.0
      ], 
      [
        0.0, 
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        0.5
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      [
        0.0, 
        0.5, 
        0.5
      ], 
      [
        0.5, 
        0.5, 
        0.0
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      [
        0.5, 
        0.5, 
        0.0
      ], 
      [
        0.5, 
        0.0, 
        0.5
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      [
        0.5, 
        0.0, 
        0.5
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    ], 
    "rotations": [
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        [
          1, 
          0, 
          0
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        [
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        [
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        [
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        [
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        [
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        [
          0, 
          1, 
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        [
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      [
        [
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          0, 
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        [
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          -1, 
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        [
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      [
        [
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          0, 
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        [
          0, 
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        [
          0, 
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      [
        [
          -1, 
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          0
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        [
          0, 
          1, 
          0
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        [
          0, 
          0, 
          1
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      ]
    ], 
    "number": 15, 
    "choice": "a2", 
    "international_full": "C 2/n 1 1", 
    "hall_symbol": "-C 2xbc", 
    "international": "C 2/c = C 2/n 1 1", 
    "arithmetic_crystal_class_number": 8, 
    "arithmetic_crystal_class_symbol": "2/mC"
  }, 
  "104": {
    "pointgroup_international": "C2h", 
    "schoenflies": "C2h^6", 
    "pointgroup_schoenflies": "2/m", 
    "international_short": "C2/c", 
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        0.0, 
        0.0, 
        0.0
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      [
        0.0, 
        0.0, 
        0.0
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        0.0, 
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      [
        0.0, 
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        0.5
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      [
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        0.5, 
        0.5
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      [
        0.5, 
        0.5, 
        0.5
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      [
        0.5, 
        0.5, 
        0.0
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      [
        0.5, 
        0.5, 
        0.0
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        [
          1, 
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        [
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        [
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        [
          0, 
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      [
        [
          -1, 
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        [
          0, 
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        [
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        [
          1, 
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        [
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        [
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        [
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        [
          0, 
          -1, 
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        [
          0, 
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      [
        [
          1, 
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        [
          0, 
          -1, 
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        [
          0, 
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      ], 
      [
        [
          -1, 
          0, 
          0
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        [
          0, 
          1, 
          0
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        [
          0, 
          0, 
          1
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      ]
    ], 
    "number": 15, 
    "choice": "a3", 
    "international_full": "I 2/c 1 1", 
    "hall_symbol": "-I 2xc", 
    "international": "C 2/c = I 2/c 1 1", 
    "arithmetic_crystal_class_number": 8, 
    "arithmetic_crystal_class_symbol": "2/mC"
  }, 
  "105": {
    "pointgroup_international": "C2h", 
    "schoenflies": "C2h^6", 
    "pointgroup_schoenflies": "2/m", 
    "international_short": "C2/c", 
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        0.0, 
        0.0, 
        0.0
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      [
        0.0, 
        0.0, 
        0.0
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        0.0, 
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        0.0
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        0.5, 
        0.5, 
        0.0
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      [
        0.5, 
        0.5, 
        0.5
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      [
        0.5, 
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        0.5
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          1, 
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        [
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        [
          1, 
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        [
          -1, 
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          0
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        [
          0, 
          1, 
          0
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        [
          0, 
          0, 
          1
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      ]
    ], 
    "number": 15, 
    "choice": "-a1", 
    "international_full": "C 2/c 1 1", 
    "hall_symbol": "-C 2xc", 
    "international": "C 2/c = C 2/c 1 1", 
    "arithmetic_crystal_class_number": 8, 
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  }, 
  "106": {
    "pointgroup_international": "C2h", 
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    "pointgroup_schoenflies": "2/m", 
    "international_short": "C2/c", 
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        0.0, 
        0.0, 
        0.0
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      [
        0.0, 
        0.0, 
        0.0
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        0.0, 
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      [
        0.5, 
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        0.5
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      [
        0.5, 
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        0.0
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      [
        0.5, 
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        0.0
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    ], 
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          0
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        [
          0, 
          0, 
          1
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    ], 
    "number": 15, 
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    "international_full": "B 2/n 1 1", 
    "hall_symbol": "-B 2xbc", 
    "international": "C 2/c = B 2/n 1 1", 
    "arithmetic_crystal_class_number": 8, 
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  }, 
  "107": {
    "pointgroup_international": "C2h", 
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    "pointgroup_schoenflies": "2/m", 
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        0.0, 
        0.0, 
        0.0
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      [
        0.0, 
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          0, 
          0
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        [
          0, 
          1, 
          0
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        [
          0, 
          0, 
          1
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      ]
    ], 
    "number": 15, 
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    "international_full": "I 2/b 1 1", 
    "hall_symbol": "-I 2xb", 
    "international": "C 2/c = I 2/b 1 1", 
    "arithmetic_crystal_class_number": 8, 
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  }, 
  "108": {
    "pointgroup_international": "D2", 
    "schoenflies": "D2^1", 
    "pointgroup_schoenflies": "222", 
    "international_short": "P222", 
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        0.0, 
        0.0, 
        0.0
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      [
        0.0, 
        0.0, 
        0.0
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    "number": 16, 
    "choice": "", 
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    "international": "P 2 2 2", 
    "arithmetic_crystal_class_number": 9, 
    "arithmetic_crystal_class_symbol": "222P"
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  "109": {
    "pointgroup_international": "D2", 
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    "pointgroup_schoenflies": "222", 
    "international_short": "P222_1", 
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        0.0, 
        0.0, 
        0.0
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          0, 
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    "number": 17, 
    "choice": "", 
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    "international": "P 2 2 2_1", 
    "arithmetic_crystal_class_number": 9, 
    "arithmetic_crystal_class_symbol": "222P"
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  "110": {
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    "pointgroup_schoenflies": "222", 
    "international_short": "P2_122", 
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        0.0, 
        0.0, 
        0.0
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    ], 
    "number": 17, 
    "choice": "cab", 
    "international_full": "P 2_1 2 2", 
    "hall_symbol": "P 2a 2a", 
    "international": "P 2_1 2 2", 
    "arithmetic_crystal_class_number": 9, 
    "arithmetic_crystal_class_symbol": "222P"
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  "111": {
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    "international_short": "P22_12", 
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    "choice": "", 
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    "choice": "bca", 
    "international_full": "P b 2 b", 
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    "choice": "", 
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    "international_full": "I 4_1/a -3 2/d", 
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}