SYMM_DATA

emmet.core.symmetry.SYMM_DATA = {'abbreviated_spacegroup_symbols': {'C2': 'C121', 'C2/c': 'C12/c1', 'C2/m': 'C12/m1', 'Cc': 'C1c1', 'Cm': 'C1m1', 'P2': 'P121', 'P2/c': 'P12/c1', 'P2/m': 'P12/m1', 'P2_1': 'P12_11', 'P2_1/c': 'P12_1/c1', 'P2_1/m': 'P12_1/m1', 'Pc': 'P1c1', 'Pm': 'P1m1'}, 'generator_matrices': {'a': [[1, 0, 0], [0, 1, 0], [0, 0, 1]], 'b': [[-1, 0, 0], [0, -1, 0], [0, 0, 1]], 'c': [[-1, 0, 0], [0, 1, 0], [0, 0, -1]], 'd': [[0, 0, 1], [1, 0, 0], [0, 1, 0]], 'e': [[0, 1, 0], [1, 0, 0], [0, 0, -1]], 'f': [[0, -1, 0], [-1, 0, 0], [0, 0, -1]], 'g': [[0, -1, 0], [1, 0, 0], [0, 0, 1]], 'h': [[-1, 0, 0], [0, -1, 0], [0, 0, -1]], 'i': [[1, 0, 0], [0, 1, 0], [0, 0, -1]], 'j': [[1, 0, 0], [0, -1, 0], [0, 0, 1]], 'k': [[0, -1, 0], [-1, 0, 0], [0, 0, 1]], 'l': [[0, 1, 0], [1, 0, 0], [0, 0, 1]], 'm': [[0, 1, 0], [-1, 0, 0], [0, 0, -1]], 'n': [[0, -1, 0], [1, -1, 0], [0, 0, 1]]}, 'maximal_subgroups': {'1': [1], '10': [2, 3, 6, 10, 11, 12, 13], '100': [32, 35, 75, 100, 102, 104, 106], '101': [27, 35, 77, 101, 105, 106], '102': [34, 35, 77, 102, 109, 110], '103': [27, 37, 75, 103, 104], '104': [34, 37, 75, 104], '105': [25, 37, 77, 101, 102, 105], '106': [32, 37, 77, 106], '107': [42, 44, 79, 99, 102, 104, 105, 107], '108': [42, 45, 79, 100, 101, 103, 106, 108], '109': [43, 44, 80, 109], '11': [2, 4, 6, 11, 14], '110': [43, 45, 80, 110], '111': [16, 35, 81, 111, 112, 115, 117, 119, 120], '112': [16, 37, 81, 112, 116, 118], '113': [18, 35, 81, 113, 114], '114': [18, 37, 81, 114], '115': [21, 25, 81, 111, 113, 115, 116, 121], '116': [21, 27, 81, 112, 114, 116], '117': [21, 32, 81, 117, 118], '118': [21, 34, 81, 118, 122], '119': [22, 44, 82, 115, 118, 119], '12': [2, 5, 8, 10, 11, 12, 13, 14, 15], '120': [22, 45, 82, 116, 117, 120], '121': [23, 42, 82, 111, 112, 113, 114, 121], '122': [24, 43, 82, 122], '123': [47, 65, 83, 89, 99, 111, 115, 123, 124, 125, 127, 129, 131, 132, 139, 140], '124': [49, 66, 83, 89, 103, 112, 116, 124, 126, 128, 130], '125': [50, 67, 85, 89, 100, 111, 117, 125, 126, 133, 134], '126': [48, 68, 85, 89, 104, 112, 118, 126], '127': [55, 65, 83, 90, 100, 113, 117, 127, 128, 135, 136], '128': [58, 66, 83, 90, 104, 114, 118, 128], '129': [59, 67, 85, 90, 99, 113, 115, 129, 130, 137, 138], '13': [2, 3, 7, 13, 14, 15], '130': [56, 68, 85, 90, 103, 114, 116, 130], '131': [47, 66, 84, 93, 105, 112, 115, 131, 132, 134, 136, 138], '132': [49, 65, 84, 93, 101, 111, 116, 131, 132, 133, 135, 137], '133': [50, 68, 86, 93, 106, 112, 117, 133], '134': [48, 67, 86, 93, 102, 111, 118, 134, 141, 142], '135': [55, 66, 84, 94, 106, 114, 117, 135], '136': [58, 65, 84, 94, 102, 113, 118, 136], '137': [59, 68, 86, 94, 105, 114, 115, 137], '138': [56, 67, 86, 94, 101, 113, 116, 138], '139': [69, 71, 87, 97, 107, 119, 121, 123, 126, 128, 129, 131, 134, 136, 137, 139], '14': [2, 4, 7, 14], '140': [69, 72, 87, 97, 108, 120, 121, 124, 125, 127, 130, 132, 133, 135, 138, 140], '141': [70, 74, 88, 98, 109, 119, 122, 141], '142': [70, 73, 88, 98, 110, 120, 122, 142], '143': [1, 143, 144, 145, 146], '144': [1, 144, 145], '145': [1, 144, 145], '146': [1, 143, 144, 145, 146], '147': [2, 143, 147, 148], '148': [2, 146, 147, 148], '149': [5, 143, 149, 150, 151, 153, 155], '15': [2, 5, 9, 13, 14, 15], '150': [5, 143, 149, 150, 152, 154], '151': [5, 144, 151, 152, 153], '152': [5, 144, 151, 152, 154], '153': [5, 145, 151, 153, 154], '154': [5, 145, 152, 153, 154], '155': [5, 146, 150, 152, 154, 155], '156': [8, 143, 156, 157, 158], '157': [8, 143, 156, 157, 159, 160], '158': [9, 143, 158, 159], '159': [9, 143, 158, 159, 161], '16': [3, 16, 17, 21, 22], '160': [8, 146, 156, 160, 161], '161': [9, 146, 158, 161], '162': [12, 147, 149, 157, 162, 163, 164, 166], '163': [15, 147, 149, 159, 163, 165, 167], '164': [12, 147, 150, 156, 162, 164, 165], '165': [15, 147, 150, 158, 163, 165], '166': [12, 148, 155, 160, 164, 166, 167], '167': [15, 148, 155, 161, 165, 167], '168': [3, 143, 168, 171, 172, 173], '169': [4, 144, 169, 170], '17': [3, 4, 17, 18, 20], '170': [4, 145, 169, 170], '171': [3, 145, 169, 171, 172], '172': [3, 144, 170, 171, 172], '173': [4, 143, 169, 170, 173], '174': [6, 143, 174], '175': [10, 147, 168, 174, 175, 176], '176': [11, 147, 173, 174, 176], '177': [21, 149, 150, 168, 177, 180, 181, 182], '178': [20, 151, 152, 169, 178, 179], '179': [20, 153, 154, 170, 178, 179], '18': [3, 4, 18, 19], '180': [21, 153, 154, 171, 178, 180, 181], '181': [21, 151, 152, 172, 179, 180, 181], '182': [20, 149, 150, 173, 178, 179, 182], '183': [35, 156, 157, 168, 183, 184, 185, 186], '184': [37, 158, 159, 168, 184], '185': [36, 157, 158, 173, 185, 186], '186': [36, 156, 159, 173, 185, 186], '187': [38, 149, 156, 174, 187, 188, 189], '188': [40, 149, 158, 174, 188, 190], '189': [38, 150, 157, 174, 187, 189, 190], '19': [4, 19], '190': [40, 150, 159, 174, 188, 190], '191': [65, 162, 164, 175, 177, 183, 187, 189, 191, 192, 193, 194], '192': [66, 163, 165, 175, 177, 184, 188, 190, 192], '193': [63, 162, 165, 176, 182, 185, 188, 189, 193, 194], '194': [63, 163, 164, 176, 182, 186, 187, 190, 193, 194], '195': [16, 146, 196, 197, 199], '196': [22, 146, 195, 198], '197': [23, 146, 195], '198': [19, 146], '199': [24, 146, 198], '2': [1, 2], '20': [4, 5, 17, 18, 19, 20], '200': [47, 148, 195, 202, 204, 206], '201': [48, 148, 195, 203], '202': [69, 148, 196, 200, 201, 205], '203': [70, 148, 196], '204': [71, 148, 197, 200, 201], '205': [61, 148, 198], '206': [73, 148, 199, 205], '207': [89, 155, 195, 209, 211], '208': [93, 155, 195, 210, 214], '209': [97, 155, 196, 207, 208], '21': [3, 5, 16, 17, 18, 20, 21, 23, 24], '210': [98, 155, 196, 212, 213], '211': [97, 155, 197, 207, 208], '212': [96, 155, 198], '213': [92, 155, 198], '214': [98, 155, 199, 212, 213], '215': [111, 160, 195, 216, 217, 219], '216': [119, 160, 196, 215], '217': [121, 160, 197, 215, 218], '218': [112, 161, 195, 220], '219': [120, 161, 196, 218], '22': [5, 20, 21, 22], '220': [122, 161, 199], '221': [123, 166, 200, 207, 215, 225, 226, 229], '222': [126, 167, 201, 207, 218], '223': [131, 167, 200, 208, 218, 230], '224': [134, 166, 201, 208, 215, 227, 228], '225': [139, 166, 202, 209, 216, 221, 224], '226': [140, 167, 202, 209, 219, 222, 223], '227': [141, 166, 203, 210, 216], '228': [142, 167, 203, 210, 219], '229': [139, 166, 204, 211, 217, 221, 222, 223, 224], '23': [5, 16, 18, 23], '230': [142, 167, 206, 214, 220], '24': [5, 17, 19, 24], '25': [3, 6, 25, 26, 27, 28, 35, 38, 39, 42], '26': [4, 6, 7, 26, 29, 31, 36], '27': [3, 7, 27, 30, 37], '28': [3, 6, 7, 28, 29, 30, 31, 32, 40, 41], '29': [4, 7, 29, 33], '3': [1, 3, 4, 5], '30': [3, 7, 30, 34], '31': [4, 6, 7, 31, 33], '32': [3, 7, 32, 33, 34], '33': [4, 7, 33], '34': [3, 7, 34, 43], '35': [3, 8, 25, 28, 32, 35, 36, 37, 44, 45, 46], '36': [4, 8, 9, 26, 29, 31, 33, 36], '37': [3, 9, 27, 30, 34, 37], '38': [5, 6, 8, 25, 26, 30, 31, 38, 40, 44, 46], '39': [5, 7, 8, 26, 27, 28, 29, 39, 41, 45, 46], '4': [1, 4], '40': [5, 6, 9, 28, 31, 33, 34, 40], '41': [5, 7, 9, 29, 30, 32, 33, 41], '42': [5, 8, 35, 36, 37, 38, 39, 40, 41, 42], '43': [5, 9, 43], '44': [5, 8, 25, 31, 34, 44], '45': [5, 9, 27, 29, 32, 45], '46': [5, 8, 9, 26, 28, 30, 33, 46], '47': [10, 16, 25, 47, 49, 51, 65, 67, 69], '48': [13, 16, 34, 48, 70], '49': [10, 13, 16, 27, 28, 49, 50, 53, 54, 66, 68], '5': [1, 3, 4, 5], '50': [13, 16, 30, 32, 48, 50, 52], '51': [10, 11, 13, 17, 25, 26, 28, 51, 53, 54, 55, 57, 59, 63, 64], '52': [13, 14, 17, 30, 33, 34, 52], '53': [10, 13, 14, 17, 28, 30, 31, 52, 53, 58, 60], '54': [13, 14, 17, 27, 29, 32, 52, 54, 56, 60], '55': [10, 14, 18, 26, 32, 55, 58, 62], '56': [13, 14, 18, 27, 33, 56], '57': [11, 13, 14, 18, 26, 28, 29, 57, 60, 61, 62], '58': [10, 14, 18, 31, 34, 58], '59': [11, 13, 18, 25, 31, 56, 59, 62], '6': [1, 6, 7, 8], '60': [13, 14, 18, 29, 30, 33, 60], '61': [14, 19, 29, 61], '62': [11, 14, 19, 26, 31, 33, 62], '63': [11, 12, 15, 20, 36, 38, 40, 51, 52, 57, 58, 59, 60, 62, 63], '64': [12, 14, 15, 20, 36, 39, 41, 53, 54, 55, 56, 57, 60, 61, 62, 64], '65': [10, 12, 21, 35, 38, 47, 50, 51, 53, 55, 59, 63, 65, 66, 71, 72, 74], '66': [10, 15, 21, 37, 40, 48, 49, 52, 53, 56, 58, 66], '67': [12, 13, 21, 35, 39, 49, 51, 54, 57, 64, 67, 68, 72, 73, 74], '68': [13, 15, 21, 37, 41, 50, 52, 54, 60, 68], '69': [12, 22, 42, 63, 64, 65, 66, 67, 68, 69], '7': [1, 7, 9], '70': [15, 22, 43, 70], '71': [12, 23, 44, 47, 48, 58, 59, 71], '72': [12, 15, 23, 45, 46, 49, 50, 55, 56, 57, 60, 72], '73': [15, 24, 45, 54, 61, 73], '74': [12, 15, 24, 44, 46, 51, 52, 53, 62, 74], '75': [3, 75, 77, 79], '76': [4, 76, 78], '77': [3, 76, 77, 78, 80], '78': [4, 76, 78], '79': [5, 75, 77, 79], '8': [1, 6, 7, 8, 9], '80': [5, 76, 78, 80], '81': [3, 81, 82], '82': [5, 81, 82], '83': [10, 75, 81, 83, 84, 85, 87], '84': [10, 77, 81, 84, 86], '85': [13, 75, 81, 85, 86], '86': [13, 77, 81, 86, 88], '87': [12, 79, 82, 83, 84, 85, 86, 87], '88': [15, 80, 82, 88], '89': [16, 21, 75, 89, 90, 93, 97], '9': [1, 7, 9], '90': [18, 21, 75, 90, 94], '91': [17, 20, 76, 91, 92, 95], '92': [19, 20, 76, 92, 96], '93': [16, 21, 77, 91, 93, 94, 95, 98], '94': [18, 21, 77, 92, 94, 96], '95': [17, 20, 78, 91, 95, 96], '96': [19, 20, 78, 92, 96], '97': [22, 23, 79, 89, 90, 93, 94, 97], '98': [22, 24, 80, 91, 92, 95, 96, 98], '99': [25, 35, 75, 99, 100, 101, 103, 105, 107, 108]}, 'point_group_crystal_system_map': {'-1': 'triclinic', '-3': 'trigonal', '-3m': 'trigonal', '-4': 'tetragonal', '-42m': 'tetragonal', '-43m': 'cubic', '-6': 'hexagonal', '-6m2': 'hexagonal', '1': 'triclinic', '2': 'monoclinic', '2/m': 'monoclinic', '222': 'orthorhombic', '23': 'cubic', '3': 'trigonal', '32': 'trigonal', '3m': 'trigonal', '4': 'tetragonal', '4/m': 'tetragonal', '4/mmm': 'tetragonal', '422': 'tetragonal', '432': 'cubic', '4mm': 'tetragonal', '6': 'hexagonal', '6/m': 'hexagonal', '6/mmm': 'hexagonal', '622': 'hexagonal', '6mm': 'hexagonal', 'm': 'monoclinic', 'm-3': 'cubic', 'm-3m': 'cubic', 'mm2': 'orthorhombic', 'mmm': 'orthorhombic'}, 'point_group_encoding': {'-1': 'h', '-3': 'hn', '-3m': 'fhn', '-4': 'm', '-42m': 'cm', '-43m': 'dml', '-6': 'in', '-6m2': 'ikn', '1': 'a', '2': 'c', '2/m': 'ch', '222': 'bc', '23': 'cd', '3': 'n', '32': 'en', '3m': 'kn', '4': 'g', '4/m': 'gh', '4/mmm': 'cgh', '422': 'cg', '432': 'dg', '4mm': 'gj', '6': 'bn', '6/m': 'bhn', '6/mmm': 'benh', '622': 'ben', '6mm': 'bkn', 'm': 'j', 'm-3': 'cdh', 'm-3m': 'dghl', 'mm2': 'bj', 'mmm': 'bch'}, 'space_group_encoding': {'Aba2': {'enc': '03aODDbOOOjDDO0', 'full_symbol': 'Aea2', 'int_number': 41, 'order': 8, 'patterson_symmetry': 'Ammm (Cmmm)', 'point_group': 'mm2'}, 'Abm2': {'enc': '03aODDbOOOjODO0', 'full_symbol': 'Aem2', 'int_number': 39, 'order': 8, 'patterson_symmetry': 'Ammm (Cmmm)', 'point_group': 'mm2'}, 'Aea2': {'enc': '03aODDbOOOjDDO0', 'full_symbol': 'Aea2', 'int_number': 41, 'order': 8, 'patterson_symmetry': 'Ammm (Cmmm)', 'point_group': 'mm2'}, 'Aem2': {'enc': '03aODDbOOOjODO0', 'full_symbol': 'Aem2', 'int_number': 39, 'order': 8, 'patterson_symmetry': 'Ammm (Cmmm)', 'point_group': 'mm2'}, 'Ama2': {'enc': '03aODDbOOOjDOO0', 'full_symbol': 'Ama2', 'int_number': 40, 'order': 8, 'patterson_symmetry': 'Ammm (Cmmm)', 'point_group': 'mm2'}, 'Amm2': {'enc': '03aODDbOOOjOOO0', 'full_symbol': 'Amm2', 'int_number': 38, 'order': 8, 'patterson_symmetry': 'Ammm (Cmmm)', 'point_group': 'mm2'}, 'C12/c1': {'enc': '12aDDOcOOD0', 'full_symbol': 'C12/c1', 'int_number': 15, 'order': 8, 'patterson_symmetry': 'C12/m1', 'point_group': '2/m'}, 'C12/m1': {'enc': '12aDDOcOOO0', 'full_symbol': 'C12/m1', 'int_number': 12, 'order': 8, 'patterson_symmetry': 'C12/m1', 'point_group': '2/m'}, 'C121': {'enc': '02aDDOcOOO0', 'full_symbol': 'C121', 'int_number': 5, 'order': 4, 'patterson_symmetry': 'C12/m1', 'point_group': '2'}, 'C1c1': {'enc': '02aDDOjOOD0', 'full_symbol': 'C1c1', 'int_number': 9, 'order': 4, 'patterson_symmetry': 'C12/m1', 'point_group': 'm'}, 'C1m1': {'enc': '02aDDOjOOO0', 'full_symbol': 'C1m1', 'int_number': 8, 'order': 4, 'patterson_symmetry': 'C12/m1', 'point_group': 'm'}, 'C222': {'enc': '03aDDObOOOcOOO0', 'full_symbol': 'C222', 'int_number': 21, 'order': 8, 'patterson_symmetry': 'Cmmm', 'point_group': '222'}, 'C222_1': {'enc': '03aDDObOODcOOD0', 'full_symbol': 'C222_1', 'int_number': 20, 'order': 8, 'patterson_symmetry': 'Cmmm', 'point_group': '222'}, 'Ccc2': {'enc': '03aDDObOOOjOOD0', 'full_symbol': 'Ccc2', 'int_number': 37, 'order': 8, 'patterson_symmetry': 'Cmmm', 'point_group': 'mm2'}, 'Ccca': {'enc': '04aDDObDDOcOOOhODD1OBB', 'full_symbol': 'C2/c2/c2/e', 'int_number': 68, 'order': 16, 'patterson_symmetry': 'Cmmm', 'point_group': 'mmm'}, 'Ccce': {'enc': '04aDDObDDOcOOOhODD1OBB', 'full_symbol': 'C2/c2/c2/e', 'int_number': 68, 'order': 16, 'patterson_symmetry': 'Cmmm', 'point_group': 'mmm'}, 'Cccm': {'enc': '13aDDObOOOcOOD0', 'full_symbol': 'C2/c2/c2/m', 'int_number': 66, 'order': 16, 'patterson_symmetry': 'Cmmm', 'point_group': 'mmm'}, 'Cmc2_1': {'enc': '03aDDObOODjOOD0', 'full_symbol': 'Cmc2_1', 'int_number': 36, 'order': 8, 'patterson_symmetry': 'Cmmm', 'point_group': 'mm2'}, 'Cmce': {'enc': '13aDDObODDcODD0', 'full_symbol': 'C2/m2/c2_1/e', 'int_number': 64, 'order': 16, 'patterson_symmetry': 'Cmmm', 'point_group': 'mmm'}, 'Cmcm': {'enc': '13aDDObOODcOOD0', 'full_symbol': 'C2/m2/c2_1/m', 'int_number': 63, 'order': 16, 'patterson_symmetry': 'Cmmm', 'point_group': 'mmm'}, 'Cmm2': {'enc': '03aDDObOOOjOOO0', 'full_symbol': 'Cmm2', 'int_number': 35, 'order': 8, 'patterson_symmetry': 'Cmmm', 'point_group': 'mm2'}, 'Cmma': {'enc': '13aDDObODOcODO0', 'full_symbol': 'C2/m2/m2/e', 'int_number': 67, 'order': 16, 'patterson_symmetry': 'Cmmm', 'point_group': 'mmm'}, 'Cmme': {'enc': '13aDDObODOcODO0', 'full_symbol': 'C2/m2/m2/e', 'int_number': 67, 'order': 16, 'patterson_symmetry': 'Cmmm', 'point_group': 'mmm'}, 'Cmmm': {'enc': '13aDDObOOOcOOO0', 'full_symbol': 'C2/m2/m2/m', 'int_number': 65, 'order': 16, 'patterson_symmetry': 'Cmmm', 'point_group': 'mmm'}, 'F-43c': {'enc': '06aODDaDODbOOOcOOOdOOOlDDD0', 'full_symbol': 'F-43c', 'int_number': 219, 'order': 96, 'patterson_symmetry': 'Fm-3m', 'point_group': '-43m'}, 'F-43m': {'enc': '06aODDaDODbOOOcOOOdOOOlOOO0', 'full_symbol': 'F-43m', 'int_number': 216, 'order': 96, 'patterson_symmetry': 'Fm-3m', 'point_group': '-43m'}, 'F222': {'enc': '04aODDaDODbOOOcOOO0', 'full_symbol': 'F222', 'int_number': 22, 'order': 16, 'patterson_symmetry': 'Fmmm', 'point_group': '222'}, 'F23': {'enc': '05aODDaDODbOOOcOOOdOOO0', 'full_symbol': 'F23', 'int_number': 196, 'order': 48, 'patterson_symmetry': 'Fm-3', 'point_group': '23'}, 'F432': {'enc': '06aODDaDODbOOOcOOOdOOOeOOO0', 'full_symbol': 'F432', 'int_number': 209, 'order': 96, 'patterson_symmetry': 'Fm-3m', 'point_group': '432'}, 'F4_132': {'enc': '06aODDaDODbODDcDDOdOOOeFBF0', 'full_symbol': 'F4_132', 'int_number': 210, 'order': 96, 'patterson_symmetry': 'Fm-3m', 'point_group': '432'}, 'Fd-3': {'enc': '06aODDaDODbOOOcOOOdOOOhBBB1ZZZ', 'full_symbol': 'F2/d-3', 'int_number': 203, 'order': 96, 'patterson_symmetry': 'Fm-3', 'point_group': 'm-3'}, 'Fd-3c': {'enc': '07aODDaDODbODDcDDOdOOOeFBFhFFF1XXX', 'full_symbol': 'F4_1/d-32/c', 'int_number': 228, 'order': 192, 'patterson_symmetry': 'Fm-3m', 'point_group': 'm-3m'}, 'Fd-3m': {'enc': '07aODDaDODbODDcDDOdOOOeFBFhBBB1ZZZ', 'full_symbol': 'F4_1/d-32/m', 'int_number': 227, 'order': 192, 'patterson_symmetry': 'Fm-3m', 'point_group': 'm-3m'}, 'Fdd2': {'enc': '04aODDaDODbOOOjBBB0', 'full_symbol': 'Fdd2', 'int_number': 43, 'order': 16, 'patterson_symmetry': 'Fmmm', 'point_group': 'mm2'}, 'Fddd': {'enc': '05aODDaDODbOOOcOOOhBBB1ZZZ', 'full_symbol': 'F2/d2/d2/d', 'int_number': 70, 'order': 32, 'patterson_symmetry': 'Fmmm', 'point_group': 'mmm'}, 'Fm-3': {'enc': '15aODDaDODbOOOcOOOdOOO0', 'full_symbol': 'F2/m-3', 'int_number': 202, 'order': 96, 'patterson_symmetry': 'Fm-3', 'point_group': 'm-3'}, 'Fm-3c': {'enc': '16aODDaDODbOOOcOOOdOOOeDDD0', 'full_symbol': 'F4/m-32/c', 'int_number': 226, 'order': 192, 'patterson_symmetry': 'Fm-3m', 'point_group': 'm-3m'}, 'Fm-3m': {'enc': '16aODDaDODbOOOcOOOdOOOeOOO0', 'full_symbol': 'F4/m-32/m', 'int_number': 225, 'order': 192, 'patterson_symmetry': 'Fm-3m', 'point_group': 'm-3m'}, 'Fmm2': {'enc': '04aODDaDODbOOOjOOO0', 'full_symbol': 'Fmm2', 'int_number': 42, 'order': 16, 'patterson_symmetry': 'Fmmm', 'point_group': 'mm2'}, 'Fmmm': {'enc': '14aODDaDODbOOOcOOO0', 'full_symbol': 'F2/m2/m2/m', 'int_number': 69, 'order': 32, 'patterson_symmetry': 'Fmmm', 'point_group': 'mmm'}, 'I-4': {'enc': '03aDDDbOOOmOOO0', 'full_symbol': 'I-4', 'int_number': 82, 'order': 8, 'patterson_symmetry': 'I4/m', 'point_group': '-4'}, 'I-42d': {'enc': '04aDDDbOOOmOOOcDOF0', 'full_symbol': 'I-42d', 'int_number': 122, 'order': 16, 'patterson_symmetry': 'I4/mmm', 'point_group': '-42m'}, 'I-42m': {'enc': '04aDDDbOOOmOOOcOOO0', 'full_symbol': 'I-42m', 'int_number': 121, 'order': 16, 'patterson_symmetry': 'I4/mmm', 'point_group': '-42m'}, 'I-43d': {'enc': '05aDDDbDODcODDdOOOlBBB0', 'full_symbol': 'I-43d', 'int_number': 220, 'order': 48, 'patterson_symmetry': 'Im-3m', 'point_group': '-43m'}, 'I-43m': {'enc': '05aDDDbOOOcOOOdOOOlOOO0', 'full_symbol': 'I-43m', 'int_number': 217, 'order': 48, 'patterson_symmetry': 'Im-3m', 'point_group': '-43m'}, 'I-4c2': {'enc': '04aDDDbOOOmOOOjOOD0', 'full_symbol': 'I-4c2', 'int_number': 120, 'order': 16, 'patterson_symmetry': 'I4/mmm', 'point_group': '-42m'}, 'I-4m2': {'enc': '04aDDDbOOOmOOOjOOO0', 'full_symbol': 'I-4m2', 'int_number': 119, 'order': 16, 'patterson_symmetry': 'I4/mmm', 'point_group': '-42m'}, 'I222': {'enc': '03aDDDbOOOcOOO0', 'full_symbol': 'I222', 'int_number': 23, 'order': 8, 'patterson_symmetry': 'Immm', 'point_group': '222'}, 'I23': {'enc': '04aDDDbOOOcOOOdOOO0', 'full_symbol': 'I23', 'int_number': 197, 'order': 24, 'patterson_symmetry': 'Im-3', 'point_group': '23'}, 'I2_12_12_1': {'enc': '03aDDDbDODcODD0', 'full_symbol': 'I2_12_12_1', 'int_number': 24, 'order': 8, 'patterson_symmetry': 'Immm', 'point_group': '222'}, 'I2_13': {'enc': '04aDDDbDODcODDdOOO0', 'full_symbol': 'I2_13', 'int_number': 199, 'order': 24, 'patterson_symmetry': 'Im-3', 'point_group': '23'}, 'I4': {'enc': '03aDDDbOOOgOOO0', 'full_symbol': 'I4', 'int_number': 79, 'order': 8, 'patterson_symmetry': 'I4/m', 'point_group': '4'}, 'I4/m': {'enc': '13aDDDbOOOgOOO0', 'full_symbol': 'I4/m', 'int_number': 87, 'order': 16, 'patterson_symmetry': 'I4/m', 'point_group': '4/m'}, 'I4/mcm': {'enc': '14aDDDbOOOgOOOcOOD0', 'full_symbol': 'I4/m2/c2/m', 'int_number': 140, 'order': 32, 'patterson_symmetry': 'I4/mmm', 'point_group': '4/mmm'}, 'I4/mmm': {'enc': '14aDDDbOOOgOOOcOOO0', 'full_symbol': 'I4/m2/m2/m', 'int_number': 139, 'order': 32, 'patterson_symmetry': 'I4/mmm', 'point_group': '4/mmm'}, 'I422': {'enc': '04aDDDbOOOgOOOcOOO0', 'full_symbol': 'I422', 'int_number': 97, 'order': 16, 'patterson_symmetry': 'I4/mmm', 'point_group': '422'}, 'I432': {'enc': '05aDDDbOOOcOOOdOOOeOOO0', 'full_symbol': 'I432', 'int_number': 211, 'order': 48, 'patterson_symmetry': 'Im-3m', 'point_group': '432'}, 'I4_1': {'enc': '03aDDDbDDDgODB0', 'full_symbol': 'I4_1', 'int_number': 80, 'order': 8, 'patterson_symmetry': 'I4/m', 'point_group': '4'}, 'I4_1/a': {'enc': '04aDDDbDDDgODBhODB1OYZ', 'full_symbol': 'I4_1/a', 'int_number': 88, 'order': 16, 'patterson_symmetry': 'I4/m', 'point_group': '4/m'}, 'I4_1/acd': {'enc': '05aDDDbDDDgODBcDOBhODB1OBZ', 'full_symbol': 'I4_1/a2/c2/d', 'int_number': 142, 'order': 32, 'patterson_symmetry': 'I4/mmm', 'point_group': '4/mmm'}, 'I4_1/amd': {'enc': '05aDDDbDDDgODBcDOFhODB1OBZ', 'full_symbol': 'I4_1/a2/m2/d', 'int_number': 141, 'order': 32, 'patterson_symmetry': 'I4/mmm', 'point_group': '4/mmm'}, 'I4_122': {'enc': '04aDDDbDDDgODBcDOF0', 'full_symbol': 'I4_122', 'int_number': 98, 'order': 16, 'patterson_symmetry': 'I4/mmm', 'point_group': '422'}, 'I4_132': {'enc': '05aDDDbDODcODDdOOOeFBB0', 'full_symbol': 'I4_132', 'int_number': 214, 'order': 48, 'patterson_symmetry': 'Im-3m', 'point_group': '432'}, 'I4_1cd': {'enc': '04aDDDbDDDgODBjOOD0', 'full_symbol': 'I4_1cd', 'int_number': 110, 'order': 16, 'patterson_symmetry': 'I4/mmm', 'point_group': '4mm'}, 'I4_1md': {'enc': '04aDDDbDDDgODBjOOO0', 'full_symbol': 'I4_1md', 'int_number': 109, 'order': 16, 'patterson_symmetry': 'I4/mmm', 'point_group': '4mm'}, 'I4cm': {'enc': '04aDDDbOOOgOOOjOOD0', 'full_symbol': 'I4cm', 'int_number': 108, 'order': 16, 'patterson_symmetry': 'I4/mmm', 'point_group': '4mm'}, 'I4mm': {'enc': '04aDDDbOOOgOOOjOOO0', 'full_symbol': 'I4mm', 'int_number': 107, 'order': 16, 'patterson_symmetry': 'I4/mmm', 'point_group': '4mm'}, 'Ia-3': {'enc': '14aDDDbDODcODDdOOO0', 'full_symbol': 'I2_1/a-3', 'int_number': 206, 'order': 48, 'patterson_symmetry': 'Im-3', 'point_group': 'm-3'}, 'Ia-3d': {'enc': '15aDDDbDODcODDdOOOeFBB0', 'full_symbol': 'I4_1/a-32/d', 'int_number': 230, 'order': 96, 'patterson_symmetry': 'Im-3m', 'point_group': 'm-3m'}, 'Iba2': {'enc': '03aDDDbOOOjDDO0', 'full_symbol': 'Iba2', 'int_number': 45, 'order': 8, 'patterson_symmetry': 'Immm', 'point_group': 'mm2'}, 'Ibam': {'enc': '13aDDDbOOOcDDO0', 'full_symbol': 'I2/b2/a2/m', 'int_number': 72, 'order': 16, 'patterson_symmetry': 'Immm', 'point_group': 'mmm'}, 'Ibca': {'enc': '13aDDDbDODcODD0', 'full_symbol': 'I2_1/b2_1/c2_1/a', 'int_number': 73, 'order': 16, 'patterson_symmetry': 'Immm', 'point_group': 'mmm'}, 'Im-3': {'enc': '14aDDDbOOOcOOOdOOO0', 'full_symbol': 'I2/m-3', 'int_number': 204, 'order': 48, 'patterson_symmetry': 'Im-3', 'point_group': 'm-3'}, 'Im-3m': {'enc': '15aDDDbOOOcOOOdOOOeOOO0', 'full_symbol': 'I4/m-32/m', 'int_number': 229, 'order': 96, 'patterson_symmetry': 'Im-3m', 'point_group': 'm-3m'}, 'Ima2': {'enc': '03aDDDbOOOjDOO0', 'full_symbol': 'Ima2', 'int_number': 46, 'order': 8, 'patterson_symmetry': 'Immm', 'point_group': 'mm2'}, 'Imm2': {'enc': '03aDDDbOOOjOOO0', 'full_symbol': 'Imm2', 'int_number': 44, 'order': 8, 'patterson_symmetry': 'Immm', 'point_group': 'mm2'}, 'Imma': {'enc': '13aDDDbODOcODO0', 'full_symbol': 'I2_1/m2_1/m2_1/a', 'int_number': 74, 'order': 16, 'patterson_symmetry': 'Immm', 'point_group': 'mmm'}, 'Immm': {'enc': '13aDDDbOOOcOOO0', 'full_symbol': 'I2/m2/m2/m', 'int_number': 71, 'order': 16, 'patterson_symmetry': 'Immm', 'point_group': 'mmm'}, 'P-1': {'enc': '100', 'full_symbol': 'P-1', 'int_number': 2, 'order': 2, 'patterson_symmetry': 'P-1', 'point_group': '-1'}, 'P-3': {'enc': '11nOOO0', 'full_symbol': 'P-3', 'int_number': 147, 'order': 6, 'patterson_symmetry': 'P-3', 'point_group': '-3'}, 'P-31c': {'enc': '12nOOOfOOD0', 'full_symbol': 'P-312/c', 'int_number': 163, 'order': 12, 'patterson_symmetry': 'P-31m', 'point_group': '-3m'}, 'P-31m': {'enc': '12nOOOfOOO0', 'full_symbol': 'P-312/m', 'int_number': 162, 'order': 12, 'patterson_symmetry': 'P-31m', 'point_group': '-3m'}, 'P-3c1': {'enc': '12nOOOeOOD0', 'full_symbol': 'P-32/c1', 'int_number': 165, 'order': 12, 'patterson_symmetry': 'P-3m1', 'point_group': '-3m'}, 'P-3m1': {'enc': '12nOOOeOOO0', 'full_symbol': 'P-32/m1', 'int_number': 164, 'order': 12, 'patterson_symmetry': 'P-3m1', 'point_group': '-3m'}, 'P-4': {'enc': '02bOOOmOOO0', 'full_symbol': 'P-4', 'int_number': 81, 'order': 4, 'patterson_symmetry': 'P4/m', 'point_group': '-4'}, 'P-42_1c': {'enc': '03bOOOmOOOcDDD0', 'full_symbol': 'P-42_1c', 'int_number': 114, 'order': 8, 'patterson_symmetry': 'P4/mmm', 'point_group': '-42m'}, 'P-42_1m': {'enc': '03bOOOmOOOcDDO0', 'full_symbol': 'P-42_1m', 'int_number': 113, 'order': 8, 'patterson_symmetry': 'P4/mmm', 'point_group': '-42m'}, 'P-42c': {'enc': '03bOOOmOOOcOOD0', 'full_symbol': 'P-42c', 'int_number': 112, 'order': 8, 'patterson_symmetry': 'P4/mmm', 'point_group': '-42m'}, 'P-42m': {'enc': '03bOOOmOOOcOOO0', 'full_symbol': 'P-42m', 'int_number': 111, 'order': 8, 'patterson_symmetry': 'P4/mmm', 'point_group': '-42m'}, 'P-43m': {'enc': '04bOOOcOOOdOOOlOOO0', 'full_symbol': 'P-43m', 'int_number': 215, 'order': 24, 'patterson_symmetry': 'Pm-3m', 'point_group': '-43m'}, 'P-43n': {'enc': '04bOOOcOOOdOOOlDDD0', 'full_symbol': 'P-43n', 'int_number': 218, 'order': 24, 'patterson_symmetry': 'Pm-3m', 'point_group': '-43m'}, 'P-4b2': {'enc': '03bOOOmOOOjDDO0', 'full_symbol': 'P-4b2', 'int_number': 117, 'order': 8, 'patterson_symmetry': 'P4/mmm', 'point_group': '-42m'}, 'P-4c2': {'enc': '03bOOOmOOOjOOD0', 'full_symbol': 'P-4c2', 'int_number': 116, 'order': 8, 'patterson_symmetry': 'P4/mmm', 'point_group': '-42m'}, 'P-4m2': {'enc': '03bOOOmOOOjOOO0', 'full_symbol': 'P-4m2', 'int_number': 115, 'order': 8, 'patterson_symmetry': 'P4/mmm', 'point_group': '-42m'}, 'P-4n2': {'enc': '03bOOOmOOOjDDD0', 'full_symbol': 'P-4n2', 'int_number': 118, 'order': 8, 'patterson_symmetry': 'P4/mmm', 'point_group': '-42m'}, 'P-6': {'enc': '02nOOOiOOO0', 'full_symbol': 'P-6', 'int_number': 174, 'order': 6, 'patterson_symmetry': 'P6/m', 'point_group': '-6'}, 'P-62c': {'enc': '03nOOOiOODeOOO0', 'full_symbol': 'P-62c', 'int_number': 190, 'order': 12, 'patterson_symmetry': 'P6/mmm', 'point_group': '-6m2'}, 'P-62m': {'enc': '03nOOOiOOOeOOO0', 'full_symbol': 'P-62m', 'int_number': 189, 'order': 12, 'patterson_symmetry': 'P6/mmm', 'point_group': '-6m2'}, 'P-6c2': {'enc': '03nOOOiOODkOOD0', 'full_symbol': 'P-6c2', 'int_number': 188, 'order': 12, 'patterson_symmetry': 'P6/mmm', 'point_group': '-6m2'}, 'P-6m2': {'enc': '03nOOOiOOOkOOO0', 'full_symbol': 'P-6m2', 'int_number': 187, 'order': 12, 'patterson_symmetry': 'P6/mmm', 'point_group': '-6m2'}, 'P1': {'enc': '000', 'full_symbol': 'P1', 'int_number': 1, 'order': 1, 'patterson_symmetry': 'P-1', 'point_group': '1'}, 'P12/c1': {'enc': '11cOOD0', 'full_symbol': 'P12/c1', 'int_number': 13, 'order': 4, 'patterson_symmetry': 'P12/m1', 'point_group': '2/m'}, 'P12/m1': {'enc': '11cOOO0', 'full_symbol': 'P12/m1', 'int_number': 10, 'order': 4, 'patterson_symmetry': 'P12/m1', 'point_group': '2/m'}, 'P121': {'enc': '01cOOO0', 'full_symbol': 'P121', 'int_number': 3, 'order': 2, 'patterson_symmetry': 'P12/m1', 'point_group': '2'}, 'P12_1/c1': {'enc': '11cODD0', 'full_symbol': 'P12_1/c1', 'int_number': 14, 'order': 4, 'patterson_symmetry': 'P12/m1', 'point_group': '2/m'}, 'P12_1/m1': {'enc': '11cODO0', 'full_symbol': 'P12_1/m1', 'int_number': 11, 'order': 4, 'patterson_symmetry': 'P12/m1', 'point_group': '2/m'}, 'P12_11': {'enc': '01cODO0', 'full_symbol': 'P12_11', 'int_number': 4, 'order': 2, 'patterson_symmetry': 'P12/m1', 'point_group': '2'}, 'P1c1': {'enc': '01jOOD0', 'full_symbol': 'P1c1', 'int_number': 7, 'order': 2, 'patterson_symmetry': 'P12/m1', 'point_group': 'm'}, 'P1m1': {'enc': '01jOOO0', 'full_symbol': 'P1m1', 'int_number': 6, 'order': 2, 'patterson_symmetry': 'P12/m1', 'point_group': 'm'}, 'P222': {'enc': '02bOOOcOOO0', 'full_symbol': 'P222', 'int_number': 16, 'order': 4, 'patterson_symmetry': 'Pmmm', 'point_group': '222'}, 'P222_1': {'enc': '02bOODcOOD0', 'full_symbol': 'P222_1', 'int_number': 17, 'order': 4, 'patterson_symmetry': 'Pmmm', 'point_group': '222'}, 'P23': {'enc': '03bOOOcOOOdOOO0', 'full_symbol': 'P23', 'int_number': 195, 'order': 12, 'patterson_symmetry': 'Pm-3', 'point_group': '23'}, 'P2_12_12': {'enc': '02bOOOcDDO0', 'full_symbol': 'P2_12_12', 'int_number': 18, 'order': 4, 'patterson_symmetry': 'Pmmm', 'point_group': '222'}, 'P2_12_12_1': {'enc': '02bDODcODD0', 'full_symbol': 'P2_12_12_1', 'int_number': 19, 'order': 4, 'patterson_symmetry': 'Pmmm', 'point_group': '222'}, 'P2_13': {'enc': '03bDODcODDdOOO0', 'full_symbol': 'P2_13', 'int_number': 198, 'order': 12, 'patterson_symmetry': 'Pm-3', 'point_group': '23'}, 'P3': {'enc': '01nOOO0', 'full_symbol': 'P3', 'int_number': 143, 'order': 3, 'patterson_symmetry': 'P-3', 'point_group': '3'}, 'P312': {'enc': '02nOOOfOOO0', 'full_symbol': 'P312', 'int_number': 149, 'order': 6, 'patterson_symmetry': 'P-31m', 'point_group': '32'}, 'P31c': {'enc': '02nOOOlOOD0', 'full_symbol': 'P31c', 'int_number': 159, 'order': 6, 'patterson_symmetry': 'P-31m', 'point_group': '3m'}, 'P31m': {'enc': '02nOOOlOOO0', 'full_symbol': 'P31m', 'int_number': 157, 'order': 6, 'patterson_symmetry': 'P-31m', 'point_group': '3m'}, 'P321': {'enc': '02nOOOeOOO0', 'full_symbol': 'P321', 'int_number': 150, 'order': 6, 'patterson_symmetry': 'P-3m1', 'point_group': '32'}, 'P3_1': {'enc': '01nOOC0', 'full_symbol': 'P3_1', 'int_number': 144, 'order': 3, 'patterson_symmetry': 'P-3', 'point_group': '3'}, 'P3_112': {'enc': '02nOOCfOOE0', 'full_symbol': 'P3_112', 'int_number': 151, 'order': 6, 'patterson_symmetry': 'P-31m', 'point_group': '32'}, 'P3_121': {'enc': '02nOOCeOOO0', 'full_symbol': 'P3_121', 'int_number': 152, 'order': 6, 'patterson_symmetry': 'P-3m1', 'point_group': '32'}, 'P3_2': {'enc': '01nOOE0', 'full_symbol': 'P3_2', 'int_number': 145, 'order': 3, 'patterson_symmetry': 'P-3', 'point_group': '3'}, 'P3_212': {'enc': '02nOOEfOOC0', 'full_symbol': 'P3_212', 'int_number': 153, 'order': 6, 'patterson_symmetry': 'P-31m', 'point_group': '32'}, 'P3_221': {'enc': '02nOOEeOOO0', 'full_symbol': 'P3_221', 'int_number': 154, 'order': 6, 'patterson_symmetry': 'P-3m1', 'point_group': '32'}, 'P3c1': {'enc': '02nOOOkOOD0', 'full_symbol': 'P3c1', 'int_number': 158, 'order': 6, 'patterson_symmetry': 'P-3m1', 'point_group': '3m'}, 'P3m1': {'enc': '02nOOOkOOO0', 'full_symbol': 'P3m1', 'int_number': 156, 'order': 6, 'patterson_symmetry': 'P-3m1', 'point_group': '3m'}, 'P4': {'enc': '02bOOOgOOO0', 'full_symbol': 'P4', 'int_number': 75, 'order': 4, 'patterson_symmetry': 'P4/m', 'point_group': '4'}, 'P4/m': {'enc': '12bOOOgOOO0', 'full_symbol': 'P4/m', 'int_number': 83, 'order': 8, 'patterson_symmetry': 'P4/m', 'point_group': '4/m'}, 'P4/mbm': {'enc': '13bOOOgOOOcDDO0', 'full_symbol': 'P4/m2_1/b2/m', 'int_number': 127, 'order': 16, 'patterson_symmetry': 'P4/mmm', 'point_group': '4/mmm'}, 'P4/mcc': {'enc': '13bOOOgOOOcOOD0', 'full_symbol': 'P4/m2/c2/c', 'int_number': 124, 'order': 16, 'patterson_symmetry': 'P4/mmm', 'point_group': '4/mmm'}, 'P4/mmm': {'enc': '13bOOOgOOOcOOO0', 'full_symbol': 'P4/m2/m2/m', 'int_number': 123, 'order': 16, 'patterson_symmetry': 'P4/mmm', 'point_group': '4/mmm'}, 'P4/mnc': {'enc': '13bOOOgOOOcDDD0', 'full_symbol': 'P4/m2_1/n2/c', 'int_number': 128, 'order': 16, 'patterson_symmetry': 'P4/mmm', 'point_group': '4/mmm'}, 'P4/n': {'enc': '03bOOOgDDOhDDO1YBO', 'full_symbol': 'P4/n', 'int_number': 85, 'order': 8, 'patterson_symmetry': 'P4/m', 'point_group': '4/m'}, 'P4/nbm': {'enc': '04bOOOgOOOcOOOhDDO1YYO', 'full_symbol': 'P4/n2/b2/m', 'int_number': 125, 'order': 16, 'patterson_symmetry': 'P4/mmm', 'point_group': '4/mmm'}, 'P4/ncc': {'enc': '04bOOOgDDOcDDDhDDO1YBO', 'full_symbol': 'P4/n2_1/c2/c', 'int_number': 130, 'order': 16, 'patterson_symmetry': 'P4/mmm', 'point_group': '4/mmm'}, 'P4/nmm': {'enc': '04bOOOgDDOcDDOhDDO1YBO', 'full_symbol': 'P4/n2_1/m2/m', 'int_number': 129, 'order': 16, 'patterson_symmetry': 'P4/mmm', 'point_group': '4/mmm'}, 'P4/nnc': {'enc': '04bOOOgOOOcOOOhDDD1YYY', 'full_symbol': 'P4/n2/n2/c', 'int_number': 126, 'order': 16, 'patterson_symmetry': 'P4/mmm', 'point_group': '4/mmm'}, 'P422': {'enc': '03bOOOgOOOcOOO0', 'full_symbol': 'P422', 'int_number': 89, 'order': 8, 'patterson_symmetry': 'P4/mmm', 'point_group': '422'}, 'P42_12': {'enc': '03bOOOgDDOcDDO0', 'full_symbol': 'P42_12', 'int_number': 90, 'order': 8, 'patterson_symmetry': 'P4/mmm', 'point_group': '422'}, 'P432': {'enc': '04bOOOcOOOdOOOeOOO0', 'full_symbol': 'P432', 'int_number': 207, 'order': 24, 'patterson_symmetry': 'Pm-3m', 'point_group': '432'}, 'P4_1': {'enc': '02bOODgOOB0', 'full_symbol': 'P4_1', 'int_number': 76, 'order': 4, 'patterson_symmetry': 'P4/m', 'point_group': '4'}, 'P4_122': {'enc': '03bOODgOOBcOOO0', 'full_symbol': 'P4_122', 'int_number': 91, 'order': 8, 'patterson_symmetry': 'P4/mmm', 'point_group': '422'}, 'P4_12_12': {'enc': '03bOODgDDBcDDB0', 'full_symbol': 'P4_12_12', 'int_number': 92, 'order': 8, 'patterson_symmetry': 'P4/mmm', 'point_group': '422'}, 'P4_132': {'enc': '04bDODcODDdOOOeFBB0', 'full_symbol': 'P4_132', 'int_number': 213, 'order': 24, 'patterson_symmetry': 'Pm-3m', 'point_group': '432'}, 'P4_2': {'enc': '02bOOOgOOD0', 'full_symbol': 'P4_2', 'int_number': 77, 'order': 4, 'patterson_symmetry': 'P4/m', 'point_group': '4'}, 'P4_2/m': {'enc': '12bOOOgOOD0', 'full_symbol': 'P4_2/m', 'int_number': 84, 'order': 8, 'patterson_symmetry': 'P4/m', 'point_group': '4/m'}, 'P4_2/mbc': {'enc': '13bOOOgOODcDDO0', 'full_symbol': 'P4_2/m2_1/b2/c', 'int_number': 135, 'order': 16, 'patterson_symmetry': 'P4/mmm', 'point_group': '4/mmm'}, 'P4_2/mcm': {'enc': '13bOOOgOODcOOD0', 'full_symbol': 'P4_2/m2/c2/m', 'int_number': 132, 'order': 16, 'patterson_symmetry': 'P4/mmm', 'point_group': '4/mmm'}, 'P4_2/mmc': {'enc': '13bOOOgOODcOOO0', 'full_symbol': 'P4_2/m2/m2/c', 'int_number': 131, 'order': 16, 'patterson_symmetry': 'P4/mmm', 'point_group': '4/mmm'}, 'P4_2/mnm': {'enc': '13bOOOgDDDcDDD0', 'full_symbol': 'P4_2/m2_1/n2/m', 'int_number': 136, 'order': 16, 'patterson_symmetry': 'P4/mmm', 'point_group': '4/mmm'}, 'P4_2/n': {'enc': '03bOOOgDDDhDDD1YYY', 'full_symbol': 'P4_2/n', 'int_number': 86, 'order': 8, 'patterson_symmetry': 'P4/m', 'point_group': '4/m'}, 'P4_2/nbc': {'enc': '04bOOOgDDDcOODhDDD1YBY', 'full_symbol': 'P4_2/n2/b2/c', 'int_number': 133, 'order': 16, 'patterson_symmetry': 'P4/mmm', 'point_group': '4/mmm'}, 'P4_2/ncm': {'enc': '04bOOOgDDDcDDOhDDD1YBY', 'full_symbol': 'P4_2/n2_1/c2/m', 'int_number': 138, 'order': 16, 'patterson_symmetry': 'P4/mmm', 'point_group': '4/mmm'}, 'P4_2/nmc': {'enc': '04bOOOgDDDcDDDhDDD1YBY', 'full_symbol': 'P4_2/n2_1/m2/c', 'int_number': 137, 'order': 16, 'patterson_symmetry': 'P4/mmm', 'point_group': '4/mmm'}, 'P4_2/nnm': {'enc': '04bOOOgDDDcOOOhDDD1YBY', 'full_symbol': 'P4_2/n2/n2/m', 'int_number': 134, 'order': 16, 'patterson_symmetry': 'P4/mmm', 'point_group': '4/mmm'}, 'P4_222': {'enc': '03bOOOgOODcOOO0', 'full_symbol': 'P4_222', 'int_number': 93, 'order': 8, 'patterson_symmetry': 'P4/mmm', 'point_group': '422'}, 'P4_22_12': {'enc': '03bOOOgDDDcDDD0', 'full_symbol': 'P4_22_12', 'int_number': 94, 'order': 8, 'patterson_symmetry': 'P4/mmm', 'point_group': '422'}, 'P4_232': {'enc': '04bOOOcOOOdOOOeDDD0', 'full_symbol': 'P4_232', 'int_number': 208, 'order': 24, 'patterson_symmetry': 'Pm-3m', 'point_group': '432'}, 'P4_2bc': {'enc': '03bOOOgOODjDDO0', 'full_symbol': 'P4_2bc', 'int_number': 106, 'order': 8, 'patterson_symmetry': 'P4/mmm', 'point_group': '4mm'}, 'P4_2cm': {'enc': '03bOOOgOODjOOD0', 'full_symbol': 'P4_2cm', 'int_number': 101, 'order': 8, 'patterson_symmetry': 'P4/mmm', 'point_group': '4mm'}, 'P4_2mc': {'enc': '03bOOOgOODjOOO0', 'full_symbol': 'P4_2mc', 'int_number': 105, 'order': 8, 'patterson_symmetry': 'P4/mmm', 'point_group': '4mm'}, 'P4_2nm': {'enc': '03bOOOgDDDjDDD0', 'full_symbol': 'P4_2nm', 'int_number': 102, 'order': 8, 'patterson_symmetry': 'P4/mmm', 'point_group': '4mm'}, 'P4_3': {'enc': '02bOODgOOF0', 'full_symbol': 'P4_3', 'int_number': 78, 'order': 4, 'patterson_symmetry': 'P4/m', 'point_group': '4'}, 'P4_322': {'enc': '03bOODgOOFcOOO0', 'full_symbol': 'P4_322', 'int_number': 95, 'order': 8, 'patterson_symmetry': 'P4/mmm', 'point_group': '422'}, 'P4_32_12': {'enc': '03bOODgDDFcDDF0', 'full_symbol': 'P4_32_12', 'int_number': 96, 'order': 8, 'patterson_symmetry': 'P4/mmm', 'point_group': '422'}, 'P4_332': {'enc': '04bDODcODDdOOOeBFF0', 'full_symbol': 'P4_332', 'int_number': 212, 'order': 24, 'patterson_symmetry': 'Pm-3m', 'point_group': '432'}, 'P4bm': {'enc': '03bOOOgOOOjDDO0', 'full_symbol': 'P4bm', 'int_number': 100, 'order': 8, 'patterson_symmetry': 'P4/mmm', 'point_group': '4mm'}, 'P4cc': {'enc': '03bOOOgOOOjOOD0', 'full_symbol': 'P4cc', 'int_number': 103, 'order': 8, 'patterson_symmetry': 'P4/mmm', 'point_group': '4mm'}, 'P4mm': {'enc': '03bOOOgOOOjOOO0', 'full_symbol': 'P4mm', 'int_number': 99, 'order': 8, 'patterson_symmetry': 'P4/mmm', 'point_group': '4mm'}, 'P4nc': {'enc': '03bOOOgOOOjDDD0', 'full_symbol': 'P4nc', 'int_number': 104, 'order': 8, 'patterson_symmetry': 'P4/mmm', 'point_group': '4mm'}, 'P6': {'enc': '02nOOObOOO0', 'full_symbol': 'P6', 'int_number': 168, 'order': 6, 'patterson_symmetry': 'P6/m', 'point_group': '6'}, 'P6/m': {'enc': '12nOOObOOO0', 'full_symbol': 'P6/m', 'int_number': 175, 'order': 12, 'patterson_symmetry': 'P6/m', 'point_group': '6/m'}, 'P6/mcc': {'enc': '13nOOObOOOeOOD0', 'full_symbol': 'P6/m2/c2/c', 'int_number': 192, 'order': 24, 'patterson_symmetry': 'P6/mmm', 'point_group': '6/mmm'}, 'P6/mmm': {'enc': '13nOOObOOOeOOO0', 'full_symbol': 'P6/m2/m2/m', 'int_number': 191, 'order': 24, 'patterson_symmetry': 'P6/mmm', 'point_group': '6/mmm'}, 'P622': {'enc': '03nOOObOOOeOOO0', 'full_symbol': 'P622', 'int_number': 177, 'order': 12, 'patterson_symmetry': 'P6/mmm', 'point_group': '622'}, 'P6_1': {'enc': '02nOOCbOOD0', 'full_symbol': 'P6_1', 'int_number': 169, 'order': 6, 'patterson_symmetry': 'P6/m', 'point_group': '6'}, 'P6_122': {'enc': '03nOOCbOODeOOC0', 'full_symbol': 'P6_122', 'int_number': 178, 'order': 12, 'patterson_symmetry': 'P6/mmm', 'point_group': '622'}, 'P6_2': {'enc': '02nOOEbOOO0', 'full_symbol': 'P6_2', 'int_number': 171, 'order': 6, 'patterson_symmetry': 'P6/m', 'point_group': '6'}, 'P6_222': {'enc': '03nOOEbOOOeOOE0', 'full_symbol': 'P6_222', 'int_number': 180, 'order': 12, 'patterson_symmetry': 'P6/mmm', 'point_group': '622'}, 'P6_3': {'enc': '02nOOObOOD0', 'full_symbol': 'P6_3', 'int_number': 173, 'order': 6, 'patterson_symmetry': 'P6/m', 'point_group': '6'}, 'P6_3/m': {'enc': '12nOOObOOD0', 'full_symbol': 'P6_3/m', 'int_number': 176, 'order': 12, 'patterson_symmetry': 'P6/m', 'point_group': '6/m'}, 'P6_3/mcm': {'enc': '13nOOObOODeOOD0', 'full_symbol': 'P6_3/m2/c2/m', 'int_number': 193, 'order': 24, 'patterson_symmetry': 'P6/mmm', 'point_group': '6/mmm'}, 'P6_3/mmc': {'enc': '13nOOObOODeOOO0', 'full_symbol': 'P6_3/m2/m2/c', 'int_number': 194, 'order': 24, 'patterson_symmetry': 'P6/mmm', 'point_group': '6/mmm'}, 'P6_322': {'enc': '03nOOObOODeOOO0', 'full_symbol': 'P6_322', 'int_number': 182, 'order': 12, 'patterson_symmetry': 'P6/mmm', 'point_group': '622'}, 'P6_3cm': {'enc': '03nOOObOODkOOD0', 'full_symbol': 'P6_3cm', 'int_number': 185, 'order': 12, 'patterson_symmetry': 'P6/mmm', 'point_group': '6mm'}, 'P6_3mc': {'enc': '03nOOObOODkOOO0', 'full_symbol': 'P6_3mc', 'int_number': 186, 'order': 12, 'patterson_symmetry': 'P6/mmm', 'point_group': '6mm'}, 'P6_4': {'enc': '02nOOCbOOO0', 'full_symbol': 'P6_4', 'int_number': 172, 'order': 6, 'patterson_symmetry': 'P6/m', 'point_group': '6'}, 'P6_422': {'enc': '03nOOCbOOOeOOC0', 'full_symbol': 'P6_422', 'int_number': 181, 'order': 12, 'patterson_symmetry': 'P6/mmm', 'point_group': '622'}, 'P6_5': {'enc': '02nOOEbOOD0', 'full_symbol': 'P6_5', 'int_number': 170, 'order': 6, 'patterson_symmetry': 'P6/m', 'point_group': '6'}, 'P6_522': {'enc': '03nOOEbOODeOOE0', 'full_symbol': 'P6_522', 'int_number': 179, 'order': 12, 'patterson_symmetry': 'P6/mmm', 'point_group': '622'}, 'P6cc': {'enc': '03nOOObOOOkOOD0', 'full_symbol': 'P6cc', 'int_number': 184, 'order': 12, 'patterson_symmetry': 'P6/mmm', 'point_group': '6mm'}, 'P6mm': {'enc': '03nOOObOOOkOOO0', 'full_symbol': 'P6mm', 'int_number': 183, 'order': 12, 'patterson_symmetry': 'P6/mmm', 'point_group': '6mm'}, 'Pa-3': {'enc': '13bDODcODDdOOO0', 'full_symbol': 'P2_1/a-3', 'int_number': 205, 'order': 24, 'patterson_symmetry': 'Pm-3', 'point_group': 'm-3'}, 'Pba2': {'enc': '02bOOOjDDO0', 'full_symbol': 'Pba2', 'int_number': 32, 'order': 4, 'patterson_symmetry': 'Pmmm', 'point_group': 'mm2'}, 'Pbam': {'enc': '12bOOOcDDO0', 'full_symbol': 'P2_1/b2_1/a2/m', 'int_number': 55, 'order': 8, 'patterson_symmetry': 'Pmmm', 'point_group': 'mmm'}, 'Pban': {'enc': '03bOOOcOOOhDDO1BBO', 'full_symbol': 'P2/b2/a2/n', 'int_number': 50, 'order': 8, 'patterson_symmetry': 'Pmmm', 'point_group': 'mmm'}, 'Pbca': {'enc': '12bDODcODD0', 'full_symbol': 'P2_1/b2_1/c2_1/a', 'int_number': 61, 'order': 8, 'patterson_symmetry': 'Pmmm', 'point_group': 'mmm'}, 'Pbcm': {'enc': '12bOODcODD0', 'full_symbol': 'P2/b2_1/c2_1/m', 'int_number': 57, 'order': 8, 'patterson_symmetry': 'Pmmm', 'point_group': 'mmm'}, 'Pbcn': {'enc': '12bDDDcOOD0', 'full_symbol': 'P2_1/b2/c2_1/n', 'int_number': 60, 'order': 8, 'patterson_symmetry': 'Pmmm', 'point_group': 'mmm'}, 'Pca2_1': {'enc': '02bOODjDOO0', 'full_symbol': 'Pca2_1', 'int_number': 29, 'order': 4, 'patterson_symmetry': 'Pmmm', 'point_group': 'mm2'}, 'Pcc2': {'enc': '02bOOOjOOD0', 'full_symbol': 'Pcc2', 'int_number': 27, 'order': 4, 'patterson_symmetry': 'Pmmm', 'point_group': 'mm2'}, 'Pcca': {'enc': '12bDOOcOOD0', 'full_symbol': 'P2_1/c2/c2/a', 'int_number': 54, 'order': 8, 'patterson_symmetry': 'Pmmm', 'point_group': 'mmm'}, 'Pccm': {'enc': '12bOOOcOOD0', 'full_symbol': 'P2/c2/c2/m', 'int_number': 49, 'order': 8, 'patterson_symmetry': 'Pmmm', 'point_group': 'mmm'}, 'Pccn': {'enc': '12bDDOcODD0', 'full_symbol': 'P2_1/c2_1/c2/n', 'int_number': 56, 'order': 8, 'patterson_symmetry': 'Pmmm', 'point_group': 'mmm'}, 'Pm-3': {'enc': '13bOOOcOOOdOOO0', 'full_symbol': 'P2/m-3', 'int_number': 200, 'order': 24, 'patterson_symmetry': 'Pm-3', 'point_group': 'm-3'}, 'Pm-3m': {'enc': '14bOOOcOOOdOOOeOOO0', 'full_symbol': 'P4/m-32/m', 'int_number': 221, 'order': 48, 'patterson_symmetry': 'Pm-3m', 'point_group': 'm-3m'}, 'Pm-3n': {'enc': '14bOOOcOOOdOOOeDDD0', 'full_symbol': 'P4_2/m-32/n', 'int_number': 223, 'order': 48, 'patterson_symmetry': 'Pm-3m', 'point_group': 'm-3m'}, 'Pma2': {'enc': '02bOOOjDOO0', 'full_symbol': 'Pma2', 'int_number': 28, 'order': 4, 'patterson_symmetry': 'Pmmm', 'point_group': 'mm2'}, 'Pmc2_1': {'enc': '02bOODjOOD0', 'full_symbol': 'Pmc2_1', 'int_number': 26, 'order': 4, 'patterson_symmetry': 'Pmmm', 'point_group': 'mm2'}, 'Pmm2': {'enc': '02bOOOjOOO0', 'full_symbol': 'Pmm2', 'int_number': 25, 'order': 4, 'patterson_symmetry': 'Pmmm', 'point_group': 'mm2'}, 'Pmma': {'enc': '12bDOOcOOO0', 'full_symbol': 'P2_1/m2/m2/a', 'int_number': 51, 'order': 8, 'patterson_symmetry': 'Pmmm', 'point_group': 'mmm'}, 'Pmmm': {'enc': '12bOOOcOOO0', 'full_symbol': 'P2/m2/m2/m', 'int_number': 47, 'order': 8, 'patterson_symmetry': 'Pmmm', 'point_group': 'mmm'}, 'Pmmn': {'enc': '03bOOOcDDOhDDO1BBO', 'full_symbol': 'P2_1/m2_1/m2/n', 'int_number': 59, 'order': 8, 'patterson_symmetry': 'Pmmm', 'point_group': 'mmm'}, 'Pmn2_1': {'enc': '02bDODjDOD0', 'full_symbol': 'Pmn2_1', 'int_number': 31, 'order': 4, 'patterson_symmetry': 'Pmmm', 'point_group': 'mm2'}, 'Pmna': {'enc': '12bDODcDOD0', 'full_symbol': 'P2/m2/n2_1/a', 'int_number': 53, 'order': 8, 'patterson_symmetry': 'Pmmm', 'point_group': 'mmm'}, 'Pn-3': {'enc': '04bOOOcOOOdOOOhDDD1YYY', 'full_symbol': 'P2/n-3', 'int_number': 201, 'order': 24, 'patterson_symmetry': 'Pm-3', 'point_group': 'm-3'}, 'Pn-3m': {'enc': '05bOOOcOOOdOOOeDDDhDDD1YYY', 'full_symbol': 'P4_2/n-32/m', 'int_number': 224, 'order': 48, 'patterson_symmetry': 'Pm-3m', 'point_group': 'm-3m'}, 'Pn-3n': {'enc': '05bOOOcOOOdOOOeOOOhDDD1YYY', 'full_symbol': 'P4/n-32/n', 'int_number': 222, 'order': 48, 'patterson_symmetry': 'Pm-3m', 'point_group': 'm-3m'}, 'Pna2_1': {'enc': '02bOODjDDO0', 'full_symbol': 'Pna2_1', 'int_number': 33, 'order': 4, 'patterson_symmetry': 'Pmmm', 'point_group': 'mm2'}, 'Pnc2': {'enc': '02bOOOjODD0', 'full_symbol': 'Pnc2', 'int_number': 30, 'order': 4, 'patterson_symmetry': 'Pmmm', 'point_group': 'mm2'}, 'Pnma': {'enc': '12bDODcODO0', 'full_symbol': 'P2_1/n2_1/m2_1/a', 'int_number': 62, 'order': 8, 'patterson_symmetry': 'Pmmm', 'point_group': 'mmm'}, 'Pnn2': {'enc': '02bOOOjDDD0', 'full_symbol': 'Pnn2', 'int_number': 34, 'order': 4, 'patterson_symmetry': 'Pmmm', 'point_group': 'mm2'}, 'Pnna': {'enc': '12bDOOcDDD0', 'full_symbol': 'P2/n2_1/n2/a', 'int_number': 52, 'order': 8, 'patterson_symmetry': 'Pmmm', 'point_group': 'mmm'}, 'Pnnm': {'enc': '12bOOOcDDD0', 'full_symbol': 'P2_1/n2_1/n2/m', 'int_number': 58, 'order': 8, 'patterson_symmetry': 'Pmmm', 'point_group': 'mmm'}, 'Pnnn': {'enc': '03bOOOcOOOhDDD1BBB', 'full_symbol': 'P2/n2/n2/n', 'int_number': 48, 'order': 8, 'patterson_symmetry': 'Pmmm', 'point_group': 'mmm'}, 'R-3': {'enc': '12aECCnOOO0', 'full_symbol': 'R-3', 'int_number': 148, 'order': 18, 'patterson_symmetry': 'R-3', 'point_group': '-3'}, 'R-3c': {'enc': '13aECCnOOOeOOD0', 'full_symbol': 'R-32/c', 'int_number': 167, 'order': 36, 'patterson_symmetry': 'R-3m', 'point_group': '-3m'}, 'R-3m': {'enc': '13aECCnOOOeOOO0', 'full_symbol': 'R-32/m', 'int_number': 166, 'order': 36, 'patterson_symmetry': 'R-3m', 'point_group': '-3m'}, 'R3': {'enc': '02aECCnOOO0', 'full_symbol': 'R3', 'int_number': 146, 'order': 9, 'patterson_symmetry': 'R-3', 'point_group': '3'}, 'R32': {'enc': '03aECCnOOOeOOO0', 'full_symbol': 'R32', 'int_number': 155, 'order': 18, 'patterson_symmetry': 'R-3m', 'point_group': '32'}, 'R3c': {'enc': '03aECCnOOOkOOD0', 'full_symbol': 'R3c', 'int_number': 161, 'order': 18, 'patterson_symmetry': 'R-3m', 'point_group': '3m'}, 'R3m': {'enc': '03aECCnOOOkOOO0', 'full_symbol': 'R3m', 'int_number': 160, 'order': 18, 'patterson_symmetry': 'R-3m', 'point_group': '3m'}}, 'translations': {'A': '1/6', 'B': '1/4', 'C': '1/3', 'D': '1/2', 'E': '2/3', 'F': '3/4', 'G': '5/6', 'O': '0', 'X': '-3/8', 'Y': '-1/4', 'Z': '-1/8'}}

dict() -> new empty dictionary dict(mapping) -> new dictionary initialized from a mapping object’s

(key, value) pairs

dict(iterable) -> new dictionary initialized as if via:

d = {} for k, v in iterable:

d[k] = v

dict(**kwargs) -> new dictionary initialized with the name=value pairs

in the keyword argument list. For example: dict(one=1, two=2)