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gps_groups • Show schema
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{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '200.52', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 120, 'aut_gen_orders': [4, 4, 4, 20, 12, 4], 'aut_gens': [[1, 2, 40], [21, 91, 453], [401, 407, 281], [421, 187, 129], [401, 175, 301], [1, 82, 308], [21, 15, 281]], 'aut_group': None, 'aut_hash': 8268919760576115980, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 61440, 'aut_permdeg': 36, 'aut_perms': [215880530247705868881583455206722505369935, 364139239579395882379850640067430928770999, 250368209637317229665967240443617899416954, 50495843756252321395739173121837596654584, 53493300161810866743466866341492542132974, 240273523823961829825820568136332150846847], 'aut_phi_ratio': 192.0, 'aut_solvable': False, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 2, 1], [2, 2, 2, 1], [2, 4, 1, 1], [4, 2, 4, 1], [4, 4, 1, 1], [4, 4, 2, 1], [5, 1, 24, 1], [10, 1, 24, 1], [10, 1, 48, 1], [10, 2, 48, 1], [10, 4, 24, 1], [20, 2, 96, 1], [20, 4, 24, 1], [20, 4, 48, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_2^7.C_2^2.S_5', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 120, 'autcent_group': None, 'autcent_hash': 6177076690617436830, 'autcent_nilpotent': False, 'autcent_order': 30720, 'autcent_solvable': False, 'autcent_split': True, 'autcent_supersolvable': False, 'autcent_tex': 'C_2^6\\times \\GL(2,5)', 'autcentquo_abelian': True, 'autcentquo_cyclic': True, 'autcentquo_exponent': 2, 'autcentquo_group': '2.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': True, 'autcentquo_order': 2, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 2, 2], [2, 4, 1], [4, 2, 4], [4, 4, 3], [5, 1, 24], [10, 1, 72], [10, 2, 48], [10, 4, 24], [20, 2, 96], [20, 4, 72]], 'center_label': '100.16', 'center_order': 100, 'central_product': True, 'central_quotient': '8.5', 'commutator_count': 1, 'commutator_label': '4.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '5.1', '5.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 942, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['32.30', 1], ['5.1', 2]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 2, 1, 2], [2, 4, 1, 1], [4, 2, 2, 2], [4, 4, 1, 3], [5, 1, 4, 6], [10, 1, 4, 18], [10, 2, 4, 12], [10, 4, 4, 6], [20, 2, 8, 12], [20, 4, 4, 18]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 2604, 'exponent': 20, 'exponents_of_order': [5, 2], 'factors_of_aut_order': [2, 3, 5], 'factors_of_order': [2, 5], 'faithful_reps': [], 'familial': False, 'frattini_label': '4.2', 'frattini_quotient': '200.52', 'hash': 942, 'hyperelementary': 1, 'inner_abelian': True, 'inner_cyclic': False, 'inner_exponent': 2, 'inner_gen_orders': [2, 2, 2], 'inner_gens': [[1, 2, 60], [1, 2, 440], [21, 402, 40]], 'inner_hash': 5, 'inner_nilpotent': True, 'inner_order': 8, 'inner_split': False, 'inner_tex': 'C_2^3', 'inner_used': [1, 2, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 200], [2, 150]], 'label': '800.942', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C10^2.D4', 'ngens': 7, 'nilpotency_class': 2, 'nilpotent': True, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 16, 'number_characteristic_subgroups': 20, 'number_conjugacy_classes': 350, 'number_divisions': 84, 'number_normal_subgroups': 176, 'number_subgroup_autclasses': 78, 'number_subgroup_classes': 312, 'number_subgroups': 464, 'old_label': None, 'order': 800, 'order_factorization_type': 32, 'order_stats': [[1, 1], [2, 11], [4, 20], [5, 24], [10, 264], [20, 480]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 120, 'outer_gen_orders': [4, 2, 2, 8, 5, 4, 4, 5], 'outer_gen_pows': [0, 0, 0, 0, 0, 0, 0, 0], 'outer_gens': [[1, 439, 361], [1, 658, 40], [1, 22, 40], [1, 358, 64], [1, 482, 40], [1, 187, 41], [401, 426, 520], [1, 330, 696]], 'outer_group': '7680.h', 'outer_hash': 7204898999297473319, 'outer_nilpotent': False, 'outer_order': 7680, 'outer_permdeg': 30, 'outer_perms': [170490427374504981184109515854360, 55207810269315724982872125201840, 288, 206888585001977576357161315793568, 91187955796584463085963931960240, 120796946786634275111837241104046, 84001790920977299904236980663681, 62277115391565205994675897374080], 'outer_solvable': False, 'outer_supersolvable': False, 'outer_tex': 'C_2\\times D_4\\times \\GL(2,5)', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 22, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2, 5, 5], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 2], [4, 50], [8, 12], [16, 12]], 'representations': {'PC': {'code': 5170133505193514943082496195, 'gens': [1, 2, 5], 'pres': [7, 2, 2, 2, 5, 2, 2, 5, 36, 58, 2104, 7711, 102, 124]}, 'GLZN': {'d': 2, 'p': 88, 'gens': [29820273, 681481, 44380887, 6133257, 45658691, 30666285, 16274017]}, 'Perm': {'d': 22, 'gens': [51213340493552160000, 111933766559526912000, 158638728369325881600, 1451520, 96, 217162155570167808000, 13412044800]}}, 'schur_multiplier': [2, 10], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 10, 10], 'solvability_type': 4, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{10}^2.D_4', 'transitive_degree': 400, 'wreath_data': None, 'wreath_product': False}
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gps_conj_classes • Show schema
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id: 140920754
{'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 942, 'group_order': 800, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 0, 'size': 1}
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id: 140920865
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 942, 'group_order': 800, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 20, 'size': 1}
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id: 140920976
{'aut_label': '2B', 'centralizer': '1.a1', 'counter': 3, 'group_counter': 942, 'group_order': 800, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 400, 'size': 1}
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id: 140921038
{'aut_label': '2B', 'centralizer': '1.a1', 'counter': 4, 'group_counter': 942, 'group_order': 800, 'label': '2C', 'order': 2, 'powers': [1, 4], 'representative': 420, 'size': 1}
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id: 140921049
{'aut_label': '2D', 'centralizer': '2.b1', 'counter': 5, 'group_counter': 942, 'group_order': 800, 'label': '2D', 'order': 2, 'powers': [1, 5], 'representative': 1, 'size': 2}
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id: 140921060
{'aut_label': '2D', 'centralizer': '2.b1', 'counter': 6, 'group_counter': 942, 'group_order': 800, 'label': '2E', 'order': 2, 'powers': [1, 6], 'representative': 401, 'size': 2}
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id: 140921071
{'aut_label': '2F', 'centralizer': '4.b1', 'counter': 7, 'group_counter': 942, 'group_order': 800, 'label': '2F', 'order': 2, 'powers': [1, 7], 'representative': 211, 'size': 4}
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id: 140921082
{'aut_label': '4A1', 'centralizer': '2.b1', 'counter': 8, 'group_counter': 942, 'group_order': 800, 'label': '4A1', 'order': 4, 'powers': [2, 8], 'representative': 10, 'size': 2}
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id: 140921093
{'aut_label': '4A1', 'centralizer': '2.b1', 'counter': 9, 'group_counter': 942, 'group_order': 800, 'label': '4A-1', 'order': 4, 'powers': [2, 9], 'representative': 30, 'size': 2}
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id: 140920755
{'aut_label': '4A1', 'centralizer': '2.b1', 'counter': 10, 'group_counter': 942, 'group_order': 800, 'label': '4B1', 'order': 4, 'powers': [2, 10], 'representative': 11, 'size': 2}
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id: 140920766
{'aut_label': '4A1', 'centralizer': '2.b1', 'counter': 11, 'group_counter': 942, 'group_order': 800, 'label': '4B-1', 'order': 4, 'powers': [2, 11], 'representative': 31, 'size': 2}
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id: 140920777
{'aut_label': '4C', 'centralizer': '4.d1', 'counter': 12, 'group_counter': 942, 'group_order': 800, 'label': '4C', 'order': 4, 'powers': [3, 12], 'representative': 200, 'size': 4}
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id: 140920788
{'aut_label': '4D', 'centralizer': '4.e1', 'counter': 13, 'group_counter': 942, 'group_order': 800, 'label': '4D', 'order': 4, 'powers': [2, 13], 'representative': 210, 'size': 4}
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id: 140920799
{'aut_label': '4C', 'centralizer': '4.d1', 'counter': 14, 'group_counter': 942, 'group_order': 800, 'label': '4E', 'order': 4, 'powers': [4, 14], 'representative': 201, 'size': 4}
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id: 140920810
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 15, 'group_counter': 942, 'group_order': 800, 'label': '5A1', 'order': 5, 'powers': [17, 1], 'representative': 320, 'size': 1}
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id: 140920821
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 16, 'group_counter': 942, 'group_order': 800, 'label': '5A-1', 'order': 5, 'powers': [18, 1], 'representative': 480, 'size': 1}
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id: 140920832
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 17, 'group_counter': 942, 'group_order': 800, 'label': '5A2', 'order': 5, 'powers': [16, 1], 'representative': 640, 'size': 1}
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id: 140920843
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 18, 'group_counter': 942, 'group_order': 800, 'label': '5A-2', 'order': 5, 'powers': [15, 1], 'representative': 160, 'size': 1}
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id: 140920854
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 19, 'group_counter': 942, 'group_order': 800, 'label': '5B1', 'order': 5, 'powers': [21, 1], 'representative': 16, 'size': 1}
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id: 140920866
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 20, 'group_counter': 942, 'group_order': 800, 'label': '5B-1', 'order': 5, 'powers': [22, 1], 'representative': 24, 'size': 1}
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id: 140920877
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 21, 'group_counter': 942, 'group_order': 800, 'label': '5B2', 'order': 5, 'powers': [20, 1], 'representative': 32, 'size': 1}
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id: 140920888
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 22, 'group_counter': 942, 'group_order': 800, 'label': '5B-2', 'order': 5, 'powers': [19, 1], 'representative': 8, 'size': 1}
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id: 140920899
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 23, 'group_counter': 942, 'group_order': 800, 'label': '5C1', 'order': 5, 'powers': [25, 1], 'representative': 336, 'size': 1}
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id: 140920910
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 24, 'group_counter': 942, 'group_order': 800, 'label': '5C-1', 'order': 5, 'powers': [26, 1], 'representative': 504, 'size': 1}
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id: 140920921
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 25, 'group_counter': 942, 'group_order': 800, 'label': '5C2', 'order': 5, 'powers': [24, 1], 'representative': 672, 'size': 1}
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id: 140920932
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 26, 'group_counter': 942, 'group_order': 800, 'label': '5C-2', 'order': 5, 'powers': [23, 1], 'representative': 168, 'size': 1}
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id: 140920943
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 27, 'group_counter': 942, 'group_order': 800, 'label': '5D1', 'order': 5, 'powers': [29, 1], 'representative': 176, 'size': 1}
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id: 140920954
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 28, 'group_counter': 942, 'group_order': 800, 'label': '5D-1', 'order': 5, 'powers': [30, 1], 'representative': 664, 'size': 1}
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id: 140920965
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 29, 'group_counter': 942, 'group_order': 800, 'label': '5D2', 'order': 5, 'powers': [28, 1], 'representative': 352, 'size': 1}
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id: 140920977
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 30, 'group_counter': 942, 'group_order': 800, 'label': '5D-2', 'order': 5, 'powers': [27, 1], 'representative': 488, 'size': 1}
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id: 140920988
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 31, 'group_counter': 942, 'group_order': 800, 'label': '5E1', 'order': 5, 'powers': [33, 1], 'representative': 328, 'size': 1}
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id: 140920999
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 32, 'group_counter': 942, 'group_order': 800, 'label': '5E-1', 'order': 5, 'powers': [34, 1], 'representative': 512, 'size': 1}
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id: 140921010
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 33, 'group_counter': 942, 'group_order': 800, 'label': '5E2', 'order': 5, 'powers': [32, 1], 'representative': 656, 'size': 1}
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id: 140921021
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 34, 'group_counter': 942, 'group_order': 800, 'label': '5E-2', 'order': 5, 'powers': [31, 1], 'representative': 184, 'size': 1}
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id: 140921032
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 35, 'group_counter': 942, 'group_order': 800, 'label': '5F1', 'order': 5, 'powers': [37, 1], 'representative': 192, 'size': 1}
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id: 140921034
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 36, 'group_counter': 942, 'group_order': 800, 'label': '5F-1', 'order': 5, 'powers': [38, 1], 'representative': 648, 'size': 1}
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id: 140921035
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 37, 'group_counter': 942, 'group_order': 800, 'label': '5F2', 'order': 5, 'powers': [36, 1], 'representative': 344, 'size': 1}
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id: 140921036
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 38, 'group_counter': 942, 'group_order': 800, 'label': '5F-2', 'order': 5, 'powers': [35, 1], 'representative': 496, 'size': 1}
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id: 140921037
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 39, 'group_counter': 942, 'group_order': 800, 'label': '10A1', 'order': 10, 'powers': [22, 2], 'representative': 4, 'size': 1}
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id: 140921039
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 40, 'group_counter': 942, 'group_order': 800, 'label': '10A-1', 'order': 10, 'powers': [21, 2], 'representative': 36, 'size': 1}
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id: 140921040
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 41, 'group_counter': 942, 'group_order': 800, 'label': '10A3', 'order': 10, 'powers': [20, 2], 'representative': 12, 'size': 1}
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id: 140921041
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 42, 'group_counter': 942, 'group_order': 800, 'label': '10A-3', 'order': 10, 'powers': [19, 2], 'representative': 28, 'size': 1}
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id: 140921042
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 43, 'group_counter': 942, 'group_order': 800, 'label': '10B1', 'order': 10, 'powers': [36, 2], 'representative': 324, 'size': 1}
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id: 140921043
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 44, 'group_counter': 942, 'group_order': 800, 'label': '10B-1', 'order': 10, 'powers': [35, 2], 'representative': 516, 'size': 1}
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id: 140921044
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 45, 'group_counter': 942, 'group_order': 800, 'label': '10B3', 'order': 10, 'powers': [37, 2], 'representative': 172, 'size': 1}
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id: 140921045
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 46, 'group_counter': 942, 'group_order': 800, 'label': '10B-3', 'order': 10, 'powers': [38, 2], 'representative': 668, 'size': 1}
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id: 140921046
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 47, 'group_counter': 942, 'group_order': 800, 'label': '10C1', 'order': 10, 'powers': [31, 2], 'representative': 164, 'size': 1}
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id: 140921047
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 48, 'group_counter': 942, 'group_order': 800, 'label': '10C-1', 'order': 10, 'powers': [32, 2], 'representative': 676, 'size': 1}
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id: 140921048
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 49, 'group_counter': 942, 'group_order': 800, 'label': '10C3', 'order': 10, 'powers': [34, 2], 'representative': 492, 'size': 1}
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id: 140921050
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 50, 'group_counter': 942, 'group_order': 800, 'label': '10C-3', 'order': 10, 'powers': [33, 2], 'representative': 348, 'size': 1}
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id: 140921051
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 51, 'group_counter': 942, 'group_order': 800, 'label': '10D1', 'order': 10, 'powers': [30, 2], 'representative': 644, 'size': 1}
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id: 140921052
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 52, 'group_counter': 942, 'group_order': 800, 'label': '10D-1', 'order': 10, 'powers': [29, 2], 'representative': 196, 'size': 1}
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id: 140921053
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 53, 'group_counter': 942, 'group_order': 800, 'label': '10D3', 'order': 10, 'powers': [28, 2], 'representative': 332, 'size': 1}
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id: 140921054
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 54, 'group_counter': 942, 'group_order': 800, 'label': '10D-3', 'order': 10, 'powers': [27, 2], 'representative': 508, 'size': 1}
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id: 140921055
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 55, 'group_counter': 942, 'group_order': 800, 'label': '10E1', 'order': 10, 'powers': [26, 2], 'representative': 484, 'size': 1}
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id: 140921056
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 56, 'group_counter': 942, 'group_order': 800, 'label': '10E-1', 'order': 10, 'powers': [25, 2], 'representative': 356, 'size': 1}
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id: 140921057
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 57, 'group_counter': 942, 'group_order': 800, 'label': '10E3', 'order': 10, 'powers': [24, 2], 'representative': 652, 'size': 1}
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id: 140921058
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 58, 'group_counter': 942, 'group_order': 800, 'label': '10E-3', 'order': 10, 'powers': [23, 2], 'representative': 188, 'size': 1}
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id: 140921059
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 59, 'group_counter': 942, 'group_order': 800, 'label': '10F1', 'order': 10, 'powers': [17, 2], 'representative': 340, 'size': 1}
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id: 140921061
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 60, 'group_counter': 942, 'group_order': 800, 'label': '10F-1', 'order': 10, 'powers': [18, 2], 'representative': 500, 'size': 1}
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id: 140921062
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 61, 'group_counter': 942, 'group_order': 800, 'label': '10F3', 'order': 10, 'powers': [15, 2], 'representative': 180, 'size': 1}
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id: 140921063
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 62, 'group_counter': 942, 'group_order': 800, 'label': '10F-3', 'order': 10, 'powers': [16, 2], 'representative': 660, 'size': 1}
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id: 140921064
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 63, 'group_counter': 942, 'group_order': 800, 'label': '10G1', 'order': 10, 'powers': [18, 3], 'representative': 80, 'size': 1}
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id: 140921065
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 64, 'group_counter': 942, 'group_order': 800, 'label': '10G-1', 'order': 10, 'powers': [17, 3], 'representative': 720, 'size': 1}
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id: 140921066
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 65, 'group_counter': 942, 'group_order': 800, 'label': '10G3', 'order': 10, 'powers': [16, 3], 'representative': 240, 'size': 1}
-
id: 140921067
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 66, 'group_counter': 942, 'group_order': 800, 'label': '10G-3', 'order': 10, 'powers': [15, 3], 'representative': 560, 'size': 1}
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id: 140921068
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 67, 'group_counter': 942, 'group_order': 800, 'label': '10H1', 'order': 10, 'powers': [35, 3], 'representative': 96, 'size': 1}
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id: 140921069
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 68, 'group_counter': 942, 'group_order': 800, 'label': '10H-1', 'order': 10, 'powers': [36, 3], 'representative': 744, 'size': 1}
-
id: 140921070
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 69, 'group_counter': 942, 'group_order': 800, 'label': '10H3', 'order': 10, 'powers': [38, 3], 'representative': 248, 'size': 1}
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id: 140921072
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 70, 'group_counter': 942, 'group_order': 800, 'label': '10H-3', 'order': 10, 'powers': [37, 3], 'representative': 592, 'size': 1}
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id: 140921073
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 71, 'group_counter': 942, 'group_order': 800, 'label': '10I1', 'order': 10, 'powers': [27, 3], 'representative': 88, 'size': 1}
-
id: 140921074
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 72, 'group_counter': 942, 'group_order': 800, 'label': '10I-1', 'order': 10, 'powers': [28, 3], 'representative': 752, 'size': 1}
-
id: 140921075
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 73, 'group_counter': 942, 'group_order': 800, 'label': '10I3', 'order': 10, 'powers': [30, 3], 'representative': 264, 'size': 1}
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id: 140921076
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 74, 'group_counter': 942, 'group_order': 800, 'label': '10I-3', 'order': 10, 'powers': [29, 3], 'representative': 576, 'size': 1}
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id: 140921077
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 75, 'group_counter': 942, 'group_order': 800, 'label': '10J1', 'order': 10, 'powers': [18, 4], 'representative': 100, 'size': 1}
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id: 140921078
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 76, 'group_counter': 942, 'group_order': 800, 'label': '10J-1', 'order': 10, 'powers': [17, 4], 'representative': 740, 'size': 1}
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id: 140921079
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 77, 'group_counter': 942, 'group_order': 800, 'label': '10J3', 'order': 10, 'powers': [16, 4], 'representative': 260, 'size': 1}
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id: 140921080
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 78, 'group_counter': 942, 'group_order': 800, 'label': '10J-3', 'order': 10, 'powers': [15, 4], 'representative': 580, 'size': 1}
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id: 140921081
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 79, 'group_counter': 942, 'group_order': 800, 'label': '10K1', 'order': 10, 'powers': [34, 3], 'representative': 112, 'size': 1}
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id: 140921083
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 80, 'group_counter': 942, 'group_order': 800, 'label': '10K-1', 'order': 10, 'powers': [33, 3], 'representative': 728, 'size': 1}
-
id: 140921084
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 81, 'group_counter': 942, 'group_order': 800, 'label': '10K3', 'order': 10, 'powers': [32, 3], 'representative': 256, 'size': 1}
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id: 140921085
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 82, 'group_counter': 942, 'group_order': 800, 'label': '10K-3', 'order': 10, 'powers': [31, 3], 'representative': 584, 'size': 1}
-
id: 140921086
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 83, 'group_counter': 942, 'group_order': 800, 'label': '10L1', 'order': 10, 'powers': [26, 3], 'representative': 104, 'size': 1}
-
id: 140921087
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 84, 'group_counter': 942, 'group_order': 800, 'label': '10L-1', 'order': 10, 'powers': [25, 3], 'representative': 736, 'size': 1}
-
id: 140921088
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 85, 'group_counter': 942, 'group_order': 800, 'label': '10L3', 'order': 10, 'powers': [24, 3], 'representative': 272, 'size': 1}
-
id: 140921089
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 86, 'group_counter': 942, 'group_order': 800, 'label': '10L-3', 'order': 10, 'powers': [23, 3], 'representative': 568, 'size': 1}
-
id: 140921090
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 87, 'group_counter': 942, 'group_order': 800, 'label': '10M1', 'order': 10, 'powers': [21, 3], 'representative': 416, 'size': 1}
-
id: 140921091
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 88, 'group_counter': 942, 'group_order': 800, 'label': '10M-1', 'order': 10, 'powers': [22, 3], 'representative': 424, 'size': 1}
-
id: 140921092
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 89, 'group_counter': 942, 'group_order': 800, 'label': '10M3', 'order': 10, 'powers': [19, 3], 'representative': 408, 'size': 1}
-
id: 140921094
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 90, 'group_counter': 942, 'group_order': 800, 'label': '10M-3', 'order': 10, 'powers': [20, 3], 'representative': 432, 'size': 1}
-
id: 140921095
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 91, 'group_counter': 942, 'group_order': 800, 'label': '10N1', 'order': 10, 'powers': [35, 4], 'representative': 116, 'size': 1}
-
id: 140921096
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 92, 'group_counter': 942, 'group_order': 800, 'label': '10N-1', 'order': 10, 'powers': [36, 4], 'representative': 724, 'size': 1}
-
id: 140921097
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 93, 'group_counter': 942, 'group_order': 800, 'label': '10N3', 'order': 10, 'powers': [38, 4], 'representative': 268, 'size': 1}
-
id: 140921098
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 94, 'group_counter': 942, 'group_order': 800, 'label': '10N-3', 'order': 10, 'powers': [37, 4], 'representative': 572, 'size': 1}
-
id: 140921099
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 95, 'group_counter': 942, 'group_order': 800, 'label': '10O1', 'order': 10, 'powers': [27, 4], 'representative': 108, 'size': 1}
-
id: 140921100
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 96, 'group_counter': 942, 'group_order': 800, 'label': '10O-1', 'order': 10, 'powers': [28, 4], 'representative': 732, 'size': 1}
-
id: 140921101
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 97, 'group_counter': 942, 'group_order': 800, 'label': '10O3', 'order': 10, 'powers': [30, 4], 'representative': 244, 'size': 1}
-
id: 140921102
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 98, 'group_counter': 942, 'group_order': 800, 'label': '10O-3', 'order': 10, 'powers': [29, 4], 'representative': 596, 'size': 1}
-
id: 140921103
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 99, 'group_counter': 942, 'group_order': 800, 'label': '10P1', 'order': 10, 'powers': [34, 4], 'representative': 92, 'size': 1}
-
id: 140920756
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 100, 'group_counter': 942, 'group_order': 800, 'label': '10P-1', 'order': 10, 'powers': [33, 4], 'representative': 748, 'size': 1}
-
id: 140920757
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 101, 'group_counter': 942, 'group_order': 800, 'label': '10P3', 'order': 10, 'powers': [32, 4], 'representative': 276, 'size': 1}
-
id: 140920758
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 102, 'group_counter': 942, 'group_order': 800, 'label': '10P-3', 'order': 10, 'powers': [31, 4], 'representative': 564, 'size': 1}
-
id: 140920759
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 103, 'group_counter': 942, 'group_order': 800, 'label': '10Q1', 'order': 10, 'powers': [26, 4], 'representative': 84, 'size': 1}
-
id: 140920760
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 104, 'group_counter': 942, 'group_order': 800, 'label': '10Q-1', 'order': 10, 'powers': [25, 4], 'representative': 756, 'size': 1}
-
id: 140920761
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 105, 'group_counter': 942, 'group_order': 800, 'label': '10Q3', 'order': 10, 'powers': [24, 4], 'representative': 252, 'size': 1}
-
id: 140920762
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 106, 'group_counter': 942, 'group_order': 800, 'label': '10Q-3', 'order': 10, 'powers': [23, 4], 'representative': 588, 'size': 1}
-
id: 140920763
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 107, 'group_counter': 942, 'group_order': 800, 'label': '10R1', 'order': 10, 'powers': [21, 4], 'representative': 436, 'size': 1}
-
id: 140920764
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 108, 'group_counter': 942, 'group_order': 800, 'label': '10R-1', 'order': 10, 'powers': [22, 4], 'representative': 404, 'size': 1}
-
id: 140920765
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 109, 'group_counter': 942, 'group_order': 800, 'label': '10R3', 'order': 10, 'powers': [19, 4], 'representative': 428, 'size': 1}
-
id: 140920767
{'aut_label': '10G1', 'centralizer': '1.a1', 'counter': 110, 'group_counter': 942, 'group_order': 800, 'label': '10R-3', 'order': 10, 'powers': [20, 4], 'representative': 412, 'size': 1}
-
id: 140920768
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 111, 'group_counter': 942, 'group_order': 800, 'label': '10S1', 'order': 10, 'powers': [15, 5], 'representative': 161, 'size': 2}
-
id: 140920769
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 112, 'group_counter': 942, 'group_order': 800, 'label': '10S-1', 'order': 10, 'powers': [16, 5], 'representative': 641, 'size': 2}
-
id: 140920770
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 113, 'group_counter': 942, 'group_order': 800, 'label': '10S3', 'order': 10, 'powers': [18, 5], 'representative': 481, 'size': 2}
-
id: 140920771
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 114, 'group_counter': 942, 'group_order': 800, 'label': '10S-3', 'order': 10, 'powers': [17, 5], 'representative': 321, 'size': 2}
-
id: 140920772
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 115, 'group_counter': 942, 'group_order': 800, 'label': '10T1', 'order': 10, 'powers': [18, 6], 'representative': 81, 'size': 2}
-
id: 140920773
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 116, 'group_counter': 942, 'group_order': 800, 'label': '10T-1', 'order': 10, 'powers': [17, 6], 'representative': 721, 'size': 2}
-
id: 140920774
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 117, 'group_counter': 942, 'group_order': 800, 'label': '10T3', 'order': 10, 'powers': [16, 6], 'representative': 241, 'size': 2}
-
id: 140920775
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 118, 'group_counter': 942, 'group_order': 800, 'label': '10T-3', 'order': 10, 'powers': [15, 6], 'representative': 561, 'size': 2}
-
id: 140920776
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 119, 'group_counter': 942, 'group_order': 800, 'label': '10U1', 'order': 10, 'powers': [19, 5], 'representative': 9, 'size': 2}
-
id: 140920778
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 120, 'group_counter': 942, 'group_order': 800, 'label': '10U-1', 'order': 10, 'powers': [20, 5], 'representative': 33, 'size': 2}
-
id: 140920779
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 121, 'group_counter': 942, 'group_order': 800, 'label': '10U3', 'order': 10, 'powers': [22, 5], 'representative': 5, 'size': 2}
-
id: 140920780
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 122, 'group_counter': 942, 'group_order': 800, 'label': '10U-3', 'order': 10, 'powers': [21, 5], 'representative': 17, 'size': 2}
-
id: 140920781
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 123, 'group_counter': 942, 'group_order': 800, 'label': '10V1', 'order': 10, 'powers': [23, 5], 'representative': 169, 'size': 2}
-
id: 140920782
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 124, 'group_counter': 942, 'group_order': 800, 'label': '10V-1', 'order': 10, 'powers': [24, 5], 'representative': 673, 'size': 2}
-
id: 140920783
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 125, 'group_counter': 942, 'group_order': 800, 'label': '10V3', 'order': 10, 'powers': [26, 5], 'representative': 485, 'size': 2}
-
id: 140920784
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 126, 'group_counter': 942, 'group_order': 800, 'label': '10V-3', 'order': 10, 'powers': [25, 5], 'representative': 337, 'size': 2}
-
id: 140920785
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 127, 'group_counter': 942, 'group_order': 800, 'label': '10W1', 'order': 10, 'powers': [27, 6], 'representative': 89, 'size': 2}
-
id: 140920786
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 128, 'group_counter': 942, 'group_order': 800, 'label': '10W-1', 'order': 10, 'powers': [28, 6], 'representative': 753, 'size': 2}
-
id: 140920787
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 129, 'group_counter': 942, 'group_order': 800, 'label': '10W3', 'order': 10, 'powers': [30, 6], 'representative': 245, 'size': 2}
-
id: 140920789
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 130, 'group_counter': 942, 'group_order': 800, 'label': '10W-3', 'order': 10, 'powers': [29, 6], 'representative': 577, 'size': 2}
-
id: 140920790
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 131, 'group_counter': 942, 'group_order': 800, 'label': '10X1', 'order': 10, 'powers': [31, 5], 'representative': 165, 'size': 2}
-
id: 140920791
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 132, 'group_counter': 942, 'group_order': 800, 'label': '10X-1', 'order': 10, 'powers': [32, 5], 'representative': 657, 'size': 2}
-
id: 140920792
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 133, 'group_counter': 942, 'group_order': 800, 'label': '10X3', 'order': 10, 'powers': [34, 5], 'representative': 513, 'size': 2}
-
id: 140920793
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 134, 'group_counter': 942, 'group_order': 800, 'label': '10X-3', 'order': 10, 'powers': [33, 5], 'representative': 329, 'size': 2}
-
id: 140920794
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 135, 'group_counter': 942, 'group_order': 800, 'label': '10Y1', 'order': 10, 'powers': [26, 6], 'representative': 85, 'size': 2}
-
id: 140920795
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 136, 'group_counter': 942, 'group_order': 800, 'label': '10Y-1', 'order': 10, 'powers': [25, 6], 'representative': 737, 'size': 2}
-
id: 140920796
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 137, 'group_counter': 942, 'group_order': 800, 'label': '10Y3', 'order': 10, 'powers': [24, 6], 'representative': 273, 'size': 2}
-
id: 140920797
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 138, 'group_counter': 942, 'group_order': 800, 'label': '10Y-3', 'order': 10, 'powers': [23, 6], 'representative': 569, 'size': 2}
-
id: 140920798
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 139, 'group_counter': 942, 'group_order': 800, 'label': '10Z1', 'order': 10, 'powers': [29, 5], 'representative': 177, 'size': 2}
-
id: 140920800
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 140, 'group_counter': 942, 'group_order': 800, 'label': '10Z-1', 'order': 10, 'powers': [30, 5], 'representative': 645, 'size': 2}
-
id: 140920801
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 141, 'group_counter': 942, 'group_order': 800, 'label': '10Z3', 'order': 10, 'powers': [27, 5], 'representative': 489, 'size': 2}
-
id: 140920802
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 142, 'group_counter': 942, 'group_order': 800, 'label': '10Z-3', 'order': 10, 'powers': [28, 5], 'representative': 353, 'size': 2}
-
id: 140920803
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 143, 'group_counter': 942, 'group_order': 800, 'label': '10AA1', 'order': 10, 'powers': [35, 6], 'representative': 97, 'size': 2}
-
id: 140920804
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 144, 'group_counter': 942, 'group_order': 800, 'label': '10AA-1', 'order': 10, 'powers': [36, 6], 'representative': 725, 'size': 2}
-
id: 140920805
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 145, 'group_counter': 942, 'group_order': 800, 'label': '10AA3', 'order': 10, 'powers': [38, 6], 'representative': 249, 'size': 2}
-
id: 140920806
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 146, 'group_counter': 942, 'group_order': 800, 'label': '10AA-3', 'order': 10, 'powers': [37, 6], 'representative': 593, 'size': 2}
-
id: 140920807
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 147, 'group_counter': 942, 'group_order': 800, 'label': '10AB1', 'order': 10, 'powers': [36, 5], 'representative': 325, 'size': 2}
-
id: 140920808
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 148, 'group_counter': 942, 'group_order': 800, 'label': '10AB-1', 'order': 10, 'powers': [35, 5], 'representative': 497, 'size': 2}
-
id: 140920809
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 149, 'group_counter': 942, 'group_order': 800, 'label': '10AB3', 'order': 10, 'powers': [37, 5], 'representative': 193, 'size': 2}
-
id: 140920811
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 150, 'group_counter': 942, 'group_order': 800, 'label': '10AB-3', 'order': 10, 'powers': [38, 5], 'representative': 649, 'size': 2}
-
id: 140920812
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 151, 'group_counter': 942, 'group_order': 800, 'label': '10AC1', 'order': 10, 'powers': [34, 6], 'representative': 113, 'size': 2}
-
id: 140920813
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 152, 'group_counter': 942, 'group_order': 800, 'label': '10AC-1', 'order': 10, 'powers': [33, 6], 'representative': 729, 'size': 2}
-
id: 140920814
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 153, 'group_counter': 942, 'group_order': 800, 'label': '10AC3', 'order': 10, 'powers': [32, 6], 'representative': 257, 'size': 2}
-
id: 140920815
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 154, 'group_counter': 942, 'group_order': 800, 'label': '10AC-3', 'order': 10, 'powers': [31, 6], 'representative': 565, 'size': 2}
-
id: 140920816
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 155, 'group_counter': 942, 'group_order': 800, 'label': '10AD1', 'order': 10, 'powers': [19, 6], 'representative': 409, 'size': 2}
-
id: 140920817
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 156, 'group_counter': 942, 'group_order': 800, 'label': '10AD-1', 'order': 10, 'powers': [20, 6], 'representative': 433, 'size': 2}
-
id: 140920818
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 157, 'group_counter': 942, 'group_order': 800, 'label': '10AD3', 'order': 10, 'powers': [22, 6], 'representative': 405, 'size': 2}
-
id: 140920819
{'aut_label': '10S1', 'centralizer': '2.b1', 'counter': 158, 'group_counter': 942, 'group_order': 800, 'label': '10AD-3', 'order': 10, 'powers': [21, 6], 'representative': 417, 'size': 2}
-
id: 140920820
{'aut_label': '10AE1', 'centralizer': '4.b1', 'counter': 159, 'group_counter': 942, 'group_order': 800, 'label': '10AE1', 'order': 10, 'powers': [24, 7], 'representative': 43, 'size': 4}
-
id: 140920822
{'aut_label': '10AE1', 'centralizer': '4.b1', 'counter': 160, 'group_counter': 942, 'group_order': 800, 'label': '10AE-1', 'order': 10, 'powers': [23, 7], 'representative': 379, 'size': 4}
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id: 140920823
{'aut_label': '10AE1', 'centralizer': '4.b1', 'counter': 161, 'group_counter': 942, 'group_order': 800, 'label': '10AE3', 'order': 10, 'powers': [25, 7], 'representative': 127, 'size': 4}
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id: 140920824
{'aut_label': '10AE1', 'centralizer': '4.b1', 'counter': 162, 'group_counter': 942, 'group_order': 800, 'label': '10AE-3', 'order': 10, 'powers': [26, 7], 'representative': 715, 'size': 4}
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id: 140920825
{'aut_label': '10AE1', 'centralizer': '4.b1', 'counter': 163, 'group_counter': 942, 'group_order': 800, 'label': '10AF1', 'order': 10, 'powers': [20, 7], 'representative': 203, 'size': 4}
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id: 140920826
{'aut_label': '10AE1', 'centralizer': '4.b1', 'counter': 164, 'group_counter': 942, 'group_order': 800, 'label': '10AF-1', 'order': 10, 'powers': [19, 7], 'representative': 219, 'size': 4}
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id: 140920827
{'aut_label': '10AE1', 'centralizer': '4.b1', 'counter': 165, 'group_counter': 942, 'group_order': 800, 'label': '10AF3', 'order': 10, 'powers': [21, 7], 'representative': 207, 'size': 4}
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id: 140920828
{'aut_label': '10AE1', 'centralizer': '4.b1', 'counter': 166, 'group_counter': 942, 'group_order': 800, 'label': '10AF-3', 'order': 10, 'powers': [22, 7], 'representative': 235, 'size': 4}
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id: 140920829
{'aut_label': '10AE1', 'centralizer': '4.b1', 'counter': 167, 'group_counter': 942, 'group_order': 800, 'label': '10AG1', 'order': 10, 'powers': [28, 7], 'representative': 123, 'size': 4}
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id: 140920830
{'aut_label': '10AE1', 'centralizer': '4.b1', 'counter': 168, 'group_counter': 942, 'group_order': 800, 'label': '10AG-1', 'order': 10, 'powers': [27, 7], 'representative': 699, 'size': 4}
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id: 140920831
{'aut_label': '10AE1', 'centralizer': '4.b1', 'counter': 169, 'group_counter': 942, 'group_order': 800, 'label': '10AG3', 'order': 10, 'powers': [29, 7], 'representative': 367, 'size': 4}
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id: 140920833
{'aut_label': '10AE1', 'centralizer': '4.b1', 'counter': 170, 'group_counter': 942, 'group_order': 800, 'label': '10AG-3', 'order': 10, 'powers': [30, 7], 'representative': 75, 'size': 4}
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id: 140920834
{'aut_label': '10AE1', 'centralizer': '4.b1', 'counter': 171, 'group_counter': 942, 'group_order': 800, 'label': '10AH1', 'order': 10, 'powers': [16, 7], 'representative': 51, 'size': 4}
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id: 140920835
{'aut_label': '10AE1', 'centralizer': '4.b1', 'counter': 172, 'group_counter': 942, 'group_order': 800, 'label': '10AH-1', 'order': 10, 'powers': [15, 7], 'representative': 371, 'size': 4}
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id: 140920836
{'aut_label': '10AE1', 'centralizer': '4.b1', 'counter': 173, 'group_counter': 942, 'group_order': 800, 'label': '10AH3', 'order': 10, 'powers': [17, 7], 'representative': 131, 'size': 4}
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id: 140920837
{'aut_label': '10AE1', 'centralizer': '4.b1', 'counter': 174, 'group_counter': 942, 'group_order': 800, 'label': '10AH-3', 'order': 10, 'powers': [18, 7], 'representative': 691, 'size': 4}
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id: 140920838
{'aut_label': '10AE1', 'centralizer': '4.b1', 'counter': 175, 'group_counter': 942, 'group_order': 800, 'label': '10AI1', 'order': 10, 'powers': [32, 7], 'representative': 47, 'size': 4}
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id: 140920839
{'aut_label': '10AE1', 'centralizer': '4.b1', 'counter': 176, 'group_counter': 942, 'group_order': 800, 'label': '10AI-1', 'order': 10, 'powers': [31, 7], 'representative': 395, 'size': 4}
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id: 140920840
{'aut_label': '10AE1', 'centralizer': '4.b1', 'counter': 177, 'group_counter': 942, 'group_order': 800, 'label': '10AI3', 'order': 10, 'powers': [33, 7], 'representative': 139, 'size': 4}
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id: 140920841
{'aut_label': '10AE1', 'centralizer': '4.b1', 'counter': 178, 'group_counter': 942, 'group_order': 800, 'label': '10AI-3', 'order': 10, 'powers': [34, 7], 'representative': 683, 'size': 4}
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id: 140920842
{'aut_label': '10AE1', 'centralizer': '4.b1', 'counter': 179, 'group_counter': 942, 'group_order': 800, 'label': '10AJ1', 'order': 10, 'powers': [37, 7], 'representative': 363, 'size': 4}
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id: 140920844
{'aut_label': '10AE1', 'centralizer': '4.b1', 'counter': 180, 'group_counter': 942, 'group_order': 800, 'label': '10AJ-1', 'order': 10, 'powers': [38, 7], 'representative': 59, 'size': 4}
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id: 140920845
{'aut_label': '10AE1', 'centralizer': '4.b1', 'counter': 181, 'group_counter': 942, 'group_order': 800, 'label': '10AJ3', 'order': 10, 'powers': [35, 7], 'representative': 687, 'size': 4}
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id: 140920846
{'aut_label': '10AE1', 'centralizer': '4.b1', 'counter': 182, 'group_counter': 942, 'group_order': 800, 'label': '10AJ-3', 'order': 10, 'powers': [36, 7], 'representative': 155, 'size': 4}
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id: 140920847
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 183, 'group_counter': 942, 'group_order': 800, 'label': '20A1', 'order': 20, 'powers': [39, 8], 'representative': 2, 'size': 2}
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id: 140920848
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 184, 'group_counter': 942, 'group_order': 800, 'label': '20A-1', 'order': 20, 'powers': [40, 9], 'representative': 38, 'size': 2}
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id: 140920849
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 185, 'group_counter': 942, 'group_order': 800, 'label': '20A3', 'order': 20, 'powers': [41, 9], 'representative': 6, 'size': 2}
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id: 140920850
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 186, 'group_counter': 942, 'group_order': 800, 'label': '20A-3', 'order': 20, 'powers': [42, 8], 'representative': 34, 'size': 2}
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id: 140920851
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 187, 'group_counter': 942, 'group_order': 800, 'label': '20A7', 'order': 20, 'powers': [42, 9], 'representative': 14, 'size': 2}
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id: 140920852
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 188, 'group_counter': 942, 'group_order': 800, 'label': '20A-7', 'order': 20, 'powers': [41, 8], 'representative': 26, 'size': 2}
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id: 140920853
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 189, 'group_counter': 942, 'group_order': 800, 'label': '20A9', 'order': 20, 'powers': [40, 8], 'representative': 18, 'size': 2}
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id: 140920855
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 190, 'group_counter': 942, 'group_order': 800, 'label': '20A-9', 'order': 20, 'powers': [39, 9], 'representative': 22, 'size': 2}
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id: 140920856
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 191, 'group_counter': 942, 'group_order': 800, 'label': '20B1', 'order': 20, 'powers': [43, 8], 'representative': 162, 'size': 2}
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id: 140920857
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 192, 'group_counter': 942, 'group_order': 800, 'label': '20B-1', 'order': 20, 'powers': [44, 9], 'representative': 678, 'size': 2}
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id: 140920858
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 193, 'group_counter': 942, 'group_order': 800, 'label': '20B3', 'order': 20, 'powers': [45, 9], 'representative': 86, 'size': 2}
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id: 140920859
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 194, 'group_counter': 942, 'group_order': 800, 'label': '20B-3', 'order': 20, 'powers': [46, 8], 'representative': 354, 'size': 2}
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id: 140920860
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 195, 'group_counter': 942, 'group_order': 800, 'label': '20B7', 'order': 20, 'powers': [46, 9], 'representative': 334, 'size': 2}
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id: 140920861
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 196, 'group_counter': 942, 'group_order': 800, 'label': '20B-7', 'order': 20, 'powers': [45, 8], 'representative': 106, 'size': 2}
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id: 140920862
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 197, 'group_counter': 942, 'group_order': 800, 'label': '20B9', 'order': 20, 'powers': [44, 8], 'representative': 658, 'size': 2}
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id: 140920863
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 198, 'group_counter': 942, 'group_order': 800, 'label': '20B-9', 'order': 20, 'powers': [43, 9], 'representative': 182, 'size': 2}
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id: 140920864
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 199, 'group_counter': 942, 'group_order': 800, 'label': '20C1', 'order': 20, 'powers': [47, 8], 'representative': 82, 'size': 2}
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id: 140920867
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 200, 'group_counter': 942, 'group_order': 800, 'label': '20C-1', 'order': 20, 'powers': [48, 9], 'representative': 358, 'size': 2}
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id: 140920868
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 201, 'group_counter': 942, 'group_order': 800, 'label': '20C3', 'order': 20, 'powers': [49, 9], 'representative': 646, 'size': 2}
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id: 140920869
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 202, 'group_counter': 942, 'group_order': 800, 'label': '20C-3', 'order': 20, 'powers': [50, 8], 'representative': 194, 'size': 2}
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id: 140920870
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 203, 'group_counter': 942, 'group_order': 800, 'label': '20C7', 'order': 20, 'powers': [50, 9], 'representative': 174, 'size': 2}
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id: 140920871
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 204, 'group_counter': 942, 'group_order': 800, 'label': '20C-7', 'order': 20, 'powers': [49, 8], 'representative': 666, 'size': 2}
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id: 140920872
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 205, 'group_counter': 942, 'group_order': 800, 'label': '20C9', 'order': 20, 'powers': [48, 8], 'representative': 338, 'size': 2}
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id: 140920873
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 206, 'group_counter': 942, 'group_order': 800, 'label': '20C-9', 'order': 20, 'powers': [47, 9], 'representative': 102, 'size': 2}
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id: 140920874
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 207, 'group_counter': 942, 'group_order': 800, 'label': '20D1', 'order': 20, 'powers': [39, 10], 'representative': 3, 'size': 2}
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id: 140920875
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 208, 'group_counter': 942, 'group_order': 800, 'label': '20D-1', 'order': 20, 'powers': [40, 11], 'representative': 39, 'size': 2}
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id: 140920876
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 209, 'group_counter': 942, 'group_order': 800, 'label': '20D3', 'order': 20, 'powers': [41, 11], 'representative': 7, 'size': 2}
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id: 140920878
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 210, 'group_counter': 942, 'group_order': 800, 'label': '20D-3', 'order': 20, 'powers': [42, 10], 'representative': 35, 'size': 2}
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id: 140920879
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 211, 'group_counter': 942, 'group_order': 800, 'label': '20D7', 'order': 20, 'powers': [42, 11], 'representative': 15, 'size': 2}
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id: 140920880
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 212, 'group_counter': 942, 'group_order': 800, 'label': '20D-7', 'order': 20, 'powers': [41, 10], 'representative': 27, 'size': 2}
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id: 140920881
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 213, 'group_counter': 942, 'group_order': 800, 'label': '20D9', 'order': 20, 'powers': [40, 10], 'representative': 19, 'size': 2}
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id: 140920882
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 214, 'group_counter': 942, 'group_order': 800, 'label': '20D-9', 'order': 20, 'powers': [39, 11], 'representative': 403, 'size': 2}
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id: 140920883
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 215, 'group_counter': 942, 'group_order': 800, 'label': '20E1', 'order': 20, 'powers': [51, 8], 'representative': 322, 'size': 2}
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id: 140920884
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 216, 'group_counter': 942, 'group_order': 800, 'label': '20E-1', 'order': 20, 'powers': [52, 9], 'representative': 118, 'size': 2}
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id: 140920885
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 217, 'group_counter': 942, 'group_order': 800, 'label': '20E3', 'order': 20, 'powers': [53, 9], 'representative': 166, 'size': 2}
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id: 140920886
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 218, 'group_counter': 942, 'group_order': 800, 'label': '20E-3', 'order': 20, 'powers': [54, 8], 'representative': 674, 'size': 2}
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id: 140920887
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 219, 'group_counter': 942, 'group_order': 800, 'label': '20E7', 'order': 20, 'powers': [54, 9], 'representative': 654, 'size': 2}
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id: 140920889
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 220, 'group_counter': 942, 'group_order': 800, 'label': '20E-7', 'order': 20, 'powers': [53, 8], 'representative': 186, 'size': 2}
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id: 140920890
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 221, 'group_counter': 942, 'group_order': 800, 'label': '20E9', 'order': 20, 'powers': [52, 8], 'representative': 98, 'size': 2}
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id: 140920891
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 222, 'group_counter': 942, 'group_order': 800, 'label': '20E-9', 'order': 20, 'powers': [51, 9], 'representative': 342, 'size': 2}
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id: 140920892
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 223, 'group_counter': 942, 'group_order': 800, 'label': '20F1', 'order': 20, 'powers': [55, 8], 'representative': 642, 'size': 2}
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id: 140920893
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 224, 'group_counter': 942, 'group_order': 800, 'label': '20F-1', 'order': 20, 'powers': [56, 9], 'representative': 198, 'size': 2}
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id: 140920894
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 225, 'group_counter': 942, 'group_order': 800, 'label': '20F3', 'order': 20, 'powers': [57, 9], 'representative': 326, 'size': 2}
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id: 140920895
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 226, 'group_counter': 942, 'group_order': 800, 'label': '20F-3', 'order': 20, 'powers': [58, 8], 'representative': 114, 'size': 2}
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id: 140920896
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 227, 'group_counter': 942, 'group_order': 800, 'label': '20F7', 'order': 20, 'powers': [58, 9], 'representative': 94, 'size': 2}
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id: 140920897
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 228, 'group_counter': 942, 'group_order': 800, 'label': '20F-7', 'order': 20, 'powers': [57, 8], 'representative': 346, 'size': 2}
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id: 140920898
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 229, 'group_counter': 942, 'group_order': 800, 'label': '20F9', 'order': 20, 'powers': [56, 8], 'representative': 178, 'size': 2}
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id: 140920900
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 230, 'group_counter': 942, 'group_order': 800, 'label': '20F-9', 'order': 20, 'powers': [55, 9], 'representative': 662, 'size': 2}
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id: 140920901
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 231, 'group_counter': 942, 'group_order': 800, 'label': '20G1', 'order': 20, 'powers': [59, 8], 'representative': 170, 'size': 2}
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id: 140920902
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 232, 'group_counter': 942, 'group_order': 800, 'label': '20G-1', 'order': 20, 'powers': [60, 9], 'representative': 670, 'size': 2}
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id: 140920903
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 233, 'group_counter': 942, 'group_order': 800, 'label': '20G3', 'order': 20, 'powers': [61, 9], 'representative': 110, 'size': 2}
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id: 140920904
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 234, 'group_counter': 942, 'group_order': 800, 'label': '20G-3', 'order': 20, 'powers': [62, 8], 'representative': 330, 'size': 2}
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id: 140920905
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 235, 'group_counter': 942, 'group_order': 800, 'label': '20G7', 'order': 20, 'powers': [62, 9], 'representative': 350, 'size': 2}
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id: 140920906
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 236, 'group_counter': 942, 'group_order': 800, 'label': '20G-7', 'order': 20, 'powers': [61, 8], 'representative': 90, 'size': 2}
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id: 140920907
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 237, 'group_counter': 942, 'group_order': 800, 'label': '20G9', 'order': 20, 'powers': [60, 8], 'representative': 650, 'size': 2}
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id: 140920908
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 238, 'group_counter': 942, 'group_order': 800, 'label': '20G-9', 'order': 20, 'powers': [59, 9], 'representative': 190, 'size': 2}
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id: 140920909
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 239, 'group_counter': 942, 'group_order': 800, 'label': '20H1', 'order': 20, 'powers': [43, 10], 'representative': 163, 'size': 2}
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id: 140920911
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 240, 'group_counter': 942, 'group_order': 800, 'label': '20H-1', 'order': 20, 'powers': [44, 11], 'representative': 259, 'size': 2}
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id: 140920912
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 241, 'group_counter': 942, 'group_order': 800, 'label': '20H3', 'order': 20, 'powers': [45, 11], 'representative': 107, 'size': 2}
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id: 140920913
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 242, 'group_counter': 942, 'group_order': 800, 'label': '20H-3', 'order': 20, 'powers': [46, 10], 'representative': 355, 'size': 2}
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id: 140920914
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 243, 'group_counter': 942, 'group_order': 800, 'label': '20H7', 'order': 20, 'powers': [46, 11], 'representative': 335, 'size': 2}
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id: 140920915
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 244, 'group_counter': 942, 'group_order': 800, 'label': '20H-7', 'order': 20, 'powers': [45, 10], 'representative': 87, 'size': 2}
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id: 140920916
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 245, 'group_counter': 942, 'group_order': 800, 'label': '20H9', 'order': 20, 'powers': [44, 10], 'representative': 659, 'size': 2}
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id: 140920917
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 246, 'group_counter': 942, 'group_order': 800, 'label': '20H-9', 'order': 20, 'powers': [43, 11], 'representative': 563, 'size': 2}
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id: 140920918
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 247, 'group_counter': 942, 'group_order': 800, 'label': '20I1', 'order': 20, 'powers': [47, 11], 'representative': 83, 'size': 2}
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id: 140920919
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 248, 'group_counter': 942, 'group_order': 800, 'label': '20I-1', 'order': 20, 'powers': [48, 10], 'representative': 339, 'size': 2}
-
id: 140920920
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 249, 'group_counter': 942, 'group_order': 800, 'label': '20I3', 'order': 20, 'powers': [49, 10], 'representative': 667, 'size': 2}
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id: 140920922
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 250, 'group_counter': 942, 'group_order': 800, 'label': '20I-3', 'order': 20, 'powers': [50, 11], 'representative': 175, 'size': 2}
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id: 140920923
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 251, 'group_counter': 942, 'group_order': 800, 'label': '20I7', 'order': 20, 'powers': [50, 10], 'representative': 195, 'size': 2}
-
id: 140920924
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 252, 'group_counter': 942, 'group_order': 800, 'label': '20I-7', 'order': 20, 'powers': [49, 11], 'representative': 647, 'size': 2}
-
id: 140920925
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 253, 'group_counter': 942, 'group_order': 800, 'label': '20I9', 'order': 20, 'powers': [48, 11], 'representative': 739, 'size': 2}
-
id: 140920926
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 254, 'group_counter': 942, 'group_order': 800, 'label': '20I-9', 'order': 20, 'powers': [47, 10], 'representative': 483, 'size': 2}
-
id: 140920927
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 255, 'group_counter': 942, 'group_order': 800, 'label': '20J1', 'order': 20, 'powers': [51, 10], 'representative': 323, 'size': 2}
-
id: 140920928
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 256, 'group_counter': 942, 'group_order': 800, 'label': '20J-1', 'order': 20, 'powers': [52, 11], 'representative': 99, 'size': 2}
-
id: 140920929
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 257, 'group_counter': 942, 'group_order': 800, 'label': '20J3', 'order': 20, 'powers': [53, 11], 'representative': 167, 'size': 2}
-
id: 140920930
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 258, 'group_counter': 942, 'group_order': 800, 'label': '20J-3', 'order': 20, 'powers': [54, 10], 'representative': 675, 'size': 2}
-
id: 140920931
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 259, 'group_counter': 942, 'group_order': 800, 'label': '20J7', 'order': 20, 'powers': [54, 11], 'representative': 275, 'size': 2}
-
id: 140920933
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 260, 'group_counter': 942, 'group_order': 800, 'label': '20J-7', 'order': 20, 'powers': [53, 10], 'representative': 187, 'size': 2}
-
id: 140920934
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 261, 'group_counter': 942, 'group_order': 800, 'label': '20J9', 'order': 20, 'powers': [52, 10], 'representative': 499, 'size': 2}
-
id: 140920935
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 262, 'group_counter': 942, 'group_order': 800, 'label': '20J-9', 'order': 20, 'powers': [51, 11], 'representative': 723, 'size': 2}
-
id: 140920936
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 263, 'group_counter': 942, 'group_order': 800, 'label': '20K1', 'order': 20, 'powers': [55, 10], 'representative': 643, 'size': 2}
-
id: 140920937
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 264, 'group_counter': 942, 'group_order': 800, 'label': '20K-1', 'order': 20, 'powers': [56, 11], 'representative': 579, 'size': 2}
-
id: 140920938
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 265, 'group_counter': 942, 'group_order': 800, 'label': '20K3', 'order': 20, 'powers': [57, 11], 'representative': 327, 'size': 2}
-
id: 140920939
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 266, 'group_counter': 942, 'group_order': 800, 'label': '20K-3', 'order': 20, 'powers': [58, 10], 'representative': 515, 'size': 2}
-
id: 140920940
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 267, 'group_counter': 942, 'group_order': 800, 'label': '20K7', 'order': 20, 'powers': [58, 11], 'representative': 115, 'size': 2}
-
id: 140920941
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 268, 'group_counter': 942, 'group_order': 800, 'label': '20K-7', 'order': 20, 'powers': [57, 10], 'representative': 347, 'size': 2}
-
id: 140920942
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 269, 'group_counter': 942, 'group_order': 800, 'label': '20K9', 'order': 20, 'powers': [56, 10], 'representative': 179, 'size': 2}
-
id: 140920944
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 270, 'group_counter': 942, 'group_order': 800, 'label': '20K-9', 'order': 20, 'powers': [55, 11], 'representative': 243, 'size': 2}
-
id: 140920945
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 271, 'group_counter': 942, 'group_order': 800, 'label': '20L1', 'order': 20, 'powers': [59, 10], 'representative': 171, 'size': 2}
-
id: 140920946
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 272, 'group_counter': 942, 'group_order': 800, 'label': '20L-1', 'order': 20, 'powers': [60, 11], 'representative': 251, 'size': 2}
-
id: 140920947
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 273, 'group_counter': 942, 'group_order': 800, 'label': '20L3', 'order': 20, 'powers': [61, 11], 'representative': 91, 'size': 2}
-
id: 140920948
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 274, 'group_counter': 942, 'group_order': 800, 'label': '20L-3', 'order': 20, 'powers': [62, 10], 'representative': 331, 'size': 2}
-
id: 140920949
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 275, 'group_counter': 942, 'group_order': 800, 'label': '20L7', 'order': 20, 'powers': [62, 11], 'representative': 731, 'size': 2}
-
id: 140920950
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 276, 'group_counter': 942, 'group_order': 800, 'label': '20L-7', 'order': 20, 'powers': [61, 10], 'representative': 491, 'size': 2}
-
id: 140920951
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 277, 'group_counter': 942, 'group_order': 800, 'label': '20L9', 'order': 20, 'powers': [60, 10], 'representative': 651, 'size': 2}
-
id: 140920952
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 278, 'group_counter': 942, 'group_order': 800, 'label': '20L-9', 'order': 20, 'powers': [59, 11], 'representative': 571, 'size': 2}
-
id: 140920953
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 279, 'group_counter': 942, 'group_order': 800, 'label': '20M1', 'order': 20, 'powers': [63, 12], 'representative': 40, 'size': 4}
-
id: 140920955
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 280, 'group_counter': 942, 'group_order': 800, 'label': '20M-1', 'order': 20, 'powers': [64, 12], 'representative': 360, 'size': 4}
-
id: 140920956
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 281, 'group_counter': 942, 'group_order': 800, 'label': '20M3', 'order': 20, 'powers': [65, 12], 'representative': 120, 'size': 4}
-
id: 140920957
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 282, 'group_counter': 942, 'group_order': 800, 'label': '20M-3', 'order': 20, 'powers': [66, 12], 'representative': 680, 'size': 4}
-
id: 140920958
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 283, 'group_counter': 942, 'group_order': 800, 'label': '20N1', 'order': 20, 'powers': [67, 12], 'representative': 48, 'size': 4}
-
id: 140920959
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 284, 'group_counter': 942, 'group_order': 800, 'label': '20N-1', 'order': 20, 'powers': [68, 12], 'representative': 392, 'size': 4}
-
id: 140920960
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 285, 'group_counter': 942, 'group_order': 800, 'label': '20N3', 'order': 20, 'powers': [69, 12], 'representative': 124, 'size': 4}
-
id: 140920961
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 286, 'group_counter': 942, 'group_order': 800, 'label': '20N-3', 'order': 20, 'powers': [70, 12], 'representative': 696, 'size': 4}
-
id: 140920962
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 287, 'group_counter': 942, 'group_order': 800, 'label': '20O1', 'order': 20, 'powers': [71, 12], 'representative': 44, 'size': 4}
-
id: 140920963
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 288, 'group_counter': 942, 'group_order': 800, 'label': '20O-1', 'order': 20, 'powers': [72, 12], 'representative': 376, 'size': 4}
-
id: 140920964
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 289, 'group_counter': 942, 'group_order': 800, 'label': '20O3', 'order': 20, 'powers': [73, 12], 'representative': 152, 'size': 4}
-
id: 140920966
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 290, 'group_counter': 942, 'group_order': 800, 'label': '20O-3', 'order': 20, 'powers': [74, 12], 'representative': 688, 'size': 4}
-
id: 140920967
{'aut_label': '20P1', 'centralizer': '4.e1', 'counter': 291, 'group_counter': 942, 'group_order': 800, 'label': '20P1', 'order': 20, 'powers': [55, 13], 'representative': 42, 'size': 4}
-
id: 140920968
{'aut_label': '20P1', 'centralizer': '4.e1', 'counter': 292, 'group_counter': 942, 'group_order': 800, 'label': '20P-1', 'order': 20, 'powers': [56, 13], 'representative': 378, 'size': 4}
-
id: 140920969
{'aut_label': '20P1', 'centralizer': '4.e1', 'counter': 293, 'group_counter': 942, 'group_order': 800, 'label': '20P3', 'order': 20, 'powers': [57, 13], 'representative': 126, 'size': 4}
-
id: 140920970
{'aut_label': '20P1', 'centralizer': '4.e1', 'counter': 294, 'group_counter': 942, 'group_order': 800, 'label': '20P-3', 'order': 20, 'powers': [58, 13], 'representative': 714, 'size': 4}
-
id: 140920971
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 295, 'group_counter': 942, 'group_order': 800, 'label': '20Q1', 'order': 20, 'powers': [75, 14], 'representative': 41, 'size': 4}
-
id: 140920972
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 296, 'group_counter': 942, 'group_order': 800, 'label': '20Q-1', 'order': 20, 'powers': [76, 14], 'representative': 361, 'size': 4}
-
id: 140920973
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 297, 'group_counter': 942, 'group_order': 800, 'label': '20Q3', 'order': 20, 'powers': [77, 14], 'representative': 121, 'size': 4}
-
id: 140920974
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 298, 'group_counter': 942, 'group_order': 800, 'label': '20Q-3', 'order': 20, 'powers': [78, 14], 'representative': 681, 'size': 4}
-
id: 140920975
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 299, 'group_counter': 942, 'group_order': 800, 'label': '20R1', 'order': 20, 'powers': [79, 12], 'representative': 56, 'size': 4}
-
id: 140920978
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 300, 'group_counter': 942, 'group_order': 800, 'label': '20R-1', 'order': 20, 'powers': [80, 12], 'representative': 364, 'size': 4}
-
id: 140920979
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 301, 'group_counter': 942, 'group_order': 800, 'label': '20R3', 'order': 20, 'powers': [81, 12], 'representative': 128, 'size': 4}
-
id: 140920980
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 302, 'group_counter': 942, 'group_order': 800, 'label': '20R-3', 'order': 20, 'powers': [82, 12], 'representative': 712, 'size': 4}
-
id: 140920981
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 303, 'group_counter': 942, 'group_order': 800, 'label': '20S1', 'order': 20, 'powers': [83, 12], 'representative': 72, 'size': 4}
-
id: 140920982
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 304, 'group_counter': 942, 'group_order': 800, 'label': '20S-1', 'order': 20, 'powers': [84, 12], 'representative': 368, 'size': 4}
-
id: 140920983
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 305, 'group_counter': 942, 'group_order': 800, 'label': '20S3', 'order': 20, 'powers': [85, 12], 'representative': 136, 'size': 4}
-
id: 140920984
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 306, 'group_counter': 942, 'group_order': 800, 'label': '20S-3', 'order': 20, 'powers': [86, 12], 'representative': 684, 'size': 4}
-
id: 140920985
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 307, 'group_counter': 942, 'group_order': 800, 'label': '20T1', 'order': 20, 'powers': [87, 12], 'representative': 208, 'size': 4}
-
id: 140920986
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 308, 'group_counter': 942, 'group_order': 800, 'label': '20T-1', 'order': 20, 'powers': [88, 12], 'representative': 232, 'size': 4}
-
id: 140920987
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 309, 'group_counter': 942, 'group_order': 800, 'label': '20T3', 'order': 20, 'powers': [89, 12], 'representative': 204, 'size': 4}
-
id: 140920989
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 310, 'group_counter': 942, 'group_order': 800, 'label': '20T-3', 'order': 20, 'powers': [90, 12], 'representative': 216, 'size': 4}
-
id: 140920990
{'aut_label': '20P1', 'centralizer': '4.e1', 'counter': 311, 'group_counter': 942, 'group_order': 800, 'label': '20U1', 'order': 20, 'powers': [39, 13], 'representative': 202, 'size': 4}
-
id: 140920991
{'aut_label': '20P1', 'centralizer': '4.e1', 'counter': 312, 'group_counter': 942, 'group_order': 800, 'label': '20U-1', 'order': 20, 'powers': [40, 13], 'representative': 218, 'size': 4}
-
id: 140920992
{'aut_label': '20P1', 'centralizer': '4.e1', 'counter': 313, 'group_counter': 942, 'group_order': 800, 'label': '20U3', 'order': 20, 'powers': [41, 13], 'representative': 206, 'size': 4}
-
id: 140920993
{'aut_label': '20P1', 'centralizer': '4.e1', 'counter': 314, 'group_counter': 942, 'group_order': 800, 'label': '20U-3', 'order': 20, 'powers': [42, 13], 'representative': 234, 'size': 4}
-
id: 140920994
{'aut_label': '20P1', 'centralizer': '4.e1', 'counter': 315, 'group_counter': 942, 'group_order': 800, 'label': '20V1', 'order': 20, 'powers': [51, 13], 'representative': 122, 'size': 4}
-
id: 140920995
{'aut_label': '20P1', 'centralizer': '4.e1', 'counter': 316, 'group_counter': 942, 'group_order': 800, 'label': '20V-1', 'order': 20, 'powers': [52, 13], 'representative': 698, 'size': 4}
-
id: 140920996
{'aut_label': '20P1', 'centralizer': '4.e1', 'counter': 317, 'group_counter': 942, 'group_order': 800, 'label': '20V3', 'order': 20, 'powers': [53, 13], 'representative': 366, 'size': 4}
-
id: 140920997
{'aut_label': '20P1', 'centralizer': '4.e1', 'counter': 318, 'group_counter': 942, 'group_order': 800, 'label': '20V-3', 'order': 20, 'powers': [54, 13], 'representative': 74, 'size': 4}
-
id: 140920998
{'aut_label': '20P1', 'centralizer': '4.e1', 'counter': 319, 'group_counter': 942, 'group_order': 800, 'label': '20W1', 'order': 20, 'powers': [60, 13], 'representative': 50, 'size': 4}
-
id: 140921000
{'aut_label': '20P1', 'centralizer': '4.e1', 'counter': 320, 'group_counter': 942, 'group_order': 800, 'label': '20W-1', 'order': 20, 'powers': [59, 13], 'representative': 370, 'size': 4}
-
id: 140921001
{'aut_label': '20P1', 'centralizer': '4.e1', 'counter': 321, 'group_counter': 942, 'group_order': 800, 'label': '20W3', 'order': 20, 'powers': [62, 13], 'representative': 130, 'size': 4}
-
id: 140921002
{'aut_label': '20P1', 'centralizer': '4.e1', 'counter': 322, 'group_counter': 942, 'group_order': 800, 'label': '20W-3', 'order': 20, 'powers': [61, 13], 'representative': 690, 'size': 4}
-
id: 140921003
{'aut_label': '20P1', 'centralizer': '4.e1', 'counter': 323, 'group_counter': 942, 'group_order': 800, 'label': '20X1', 'order': 20, 'powers': [49, 13], 'representative': 46, 'size': 4}
-
id: 140921004
{'aut_label': '20P1', 'centralizer': '4.e1', 'counter': 324, 'group_counter': 942, 'group_order': 800, 'label': '20X-1', 'order': 20, 'powers': [50, 13], 'representative': 394, 'size': 4}
-
id: 140921005
{'aut_label': '20P1', 'centralizer': '4.e1', 'counter': 325, 'group_counter': 942, 'group_order': 800, 'label': '20X3', 'order': 20, 'powers': [48, 13], 'representative': 138, 'size': 4}
-
id: 140921006
{'aut_label': '20P1', 'centralizer': '4.e1', 'counter': 326, 'group_counter': 942, 'group_order': 800, 'label': '20X-3', 'order': 20, 'powers': [47, 13], 'representative': 682, 'size': 4}
-
id: 140921007
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 327, 'group_counter': 942, 'group_order': 800, 'label': '20Y1', 'order': 20, 'powers': [91, 14], 'representative': 49, 'size': 4}
-
id: 140921008
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 328, 'group_counter': 942, 'group_order': 800, 'label': '20Y-1', 'order': 20, 'powers': [92, 14], 'representative': 393, 'size': 4}
-
id: 140921009
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 329, 'group_counter': 942, 'group_order': 800, 'label': '20Y3', 'order': 20, 'powers': [93, 14], 'representative': 125, 'size': 4}
-
id: 140921011
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 330, 'group_counter': 942, 'group_order': 800, 'label': '20Y-3', 'order': 20, 'powers': [94, 14], 'representative': 697, 'size': 4}
-
id: 140921012
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 331, 'group_counter': 942, 'group_order': 800, 'label': '20Z1', 'order': 20, 'powers': [95, 14], 'representative': 45, 'size': 4}
-
id: 140921013
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 332, 'group_counter': 942, 'group_order': 800, 'label': '20Z-1', 'order': 20, 'powers': [96, 14], 'representative': 377, 'size': 4}
-
id: 140921014
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 333, 'group_counter': 942, 'group_order': 800, 'label': '20Z3', 'order': 20, 'powers': [97, 14], 'representative': 153, 'size': 4}
-
id: 140921015
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 334, 'group_counter': 942, 'group_order': 800, 'label': '20Z-3', 'order': 20, 'powers': [98, 14], 'representative': 689, 'size': 4}
-
id: 140921016
{'aut_label': '20P1', 'centralizer': '4.e1', 'counter': 335, 'group_counter': 942, 'group_order': 800, 'label': '20AA1', 'order': 20, 'powers': [43, 13], 'representative': 362, 'size': 4}
-
id: 140921017
{'aut_label': '20P1', 'centralizer': '4.e1', 'counter': 336, 'group_counter': 942, 'group_order': 800, 'label': '20AA-1', 'order': 20, 'powers': [44, 13], 'representative': 58, 'size': 4}
-
id: 140921018
{'aut_label': '20P1', 'centralizer': '4.e1', 'counter': 337, 'group_counter': 942, 'group_order': 800, 'label': '20AA3', 'order': 20, 'powers': [45, 13], 'representative': 686, 'size': 4}
-
id: 140921019
{'aut_label': '20P1', 'centralizer': '4.e1', 'counter': 338, 'group_counter': 942, 'group_order': 800, 'label': '20AA-3', 'order': 20, 'powers': [46, 13], 'representative': 154, 'size': 4}
-
id: 140921020
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 339, 'group_counter': 942, 'group_order': 800, 'label': '20AB1', 'order': 20, 'powers': [99, 14], 'representative': 57, 'size': 4}
-
id: 140921022
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 340, 'group_counter': 942, 'group_order': 800, 'label': '20AB-1', 'order': 20, 'powers': [100, 14], 'representative': 365, 'size': 4}
-
id: 140921023
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 341, 'group_counter': 942, 'group_order': 800, 'label': '20AB3', 'order': 20, 'powers': [101, 14], 'representative': 129, 'size': 4}
-
id: 140921024
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 342, 'group_counter': 942, 'group_order': 800, 'label': '20AB-3', 'order': 20, 'powers': [102, 14], 'representative': 713, 'size': 4}
-
id: 140921025
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 343, 'group_counter': 942, 'group_order': 800, 'label': '20AC1', 'order': 20, 'powers': [103, 14], 'representative': 73, 'size': 4}
-
id: 140921026
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 344, 'group_counter': 942, 'group_order': 800, 'label': '20AC-1', 'order': 20, 'powers': [104, 14], 'representative': 369, 'size': 4}
-
id: 140921027
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 345, 'group_counter': 942, 'group_order': 800, 'label': '20AC3', 'order': 20, 'powers': [105, 14], 'representative': 137, 'size': 4}
-
id: 140921028
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 346, 'group_counter': 942, 'group_order': 800, 'label': '20AC-3', 'order': 20, 'powers': [106, 14], 'representative': 685, 'size': 4}
-
id: 140921029
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 347, 'group_counter': 942, 'group_order': 800, 'label': '20AD1', 'order': 20, 'powers': [107, 14], 'representative': 209, 'size': 4}
-
id: 140921030
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 348, 'group_counter': 942, 'group_order': 800, 'label': '20AD-1', 'order': 20, 'powers': [108, 14], 'representative': 233, 'size': 4}
-
id: 140921031
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 349, 'group_counter': 942, 'group_order': 800, 'label': '20AD3', 'order': 20, 'powers': [109, 14], 'representative': 205, 'size': 4}
-
id: 140921033
{'aut_label': '20M1', 'centralizer': '4.d1', 'counter': 350, 'group_counter': 942, 'group_order': 800, 'label': '20AD-3', 'order': 20, 'powers': [110, 14], 'representative': 217, 'size': 4}
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gps_qchar • Show schema
Hide schema
-
id: 13005435
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id: 13005490
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id: 13005464
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id: 13005465
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id: 13005467
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id: 13005469
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id: 13005470
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id: 13005471
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id: 13005472
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id: 13005473
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id: 13005474
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id: 13005489
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id: 13005491
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id: 13005492
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id: 13005493
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id: 13005494
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id: 13005495
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id: 13005497
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id: 13005498
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id: 13005499
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id: 13005500
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id: 13005502
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id: 13005503
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id: 13005504
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id: 13005505
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id: 13005506
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id: 13005507
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id: 13005508
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id: 13005509
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id: 13005510
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id: 13005511
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id: 13005513
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id: 13005514
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id: 13005515
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id: 13005516
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id: 13005517
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gps_char • Show schema
Hide schema
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id: 30441406
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id: 30441736
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id: 30441737
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id: 30441738
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id: 30441739
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id: 30441740
{'center': '1.a1', 'center_index': 1, 'center_order': 800, 'counter': 85, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '800.942', 'group_counter': 942, 'group_order': 800, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.d1', 'kernel_order': 80, 'label': '800.942.1ab1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 0]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -2]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, 0]], [[-1, 0]], [[-1, -2]], [[-1, 0]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, -2]], [[1, 0]], [[-1, -1]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[-1, -2]], [[-1, -2]], [[1, 1]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, -2]], [[-1, 1]], [[-1, 0]], [[1, -1]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[1, -2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, -1]], [[1, 2]], [[-1, -2]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -2]], [[-1, -2]], [[1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 0]], [[1, -2]], [[1, 0]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[-1, 2]], [[1, 0]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 0]], [[-1, 0]], [[-1, 2]]]}
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id: 30441741
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id: 30441742
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id: 30441743
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id: 30441744
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id: 30441746
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id: 30441747
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id: 30441748
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id: 30441749
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id: 30441750
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id: 30441751
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id: 30441752
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id: 30441753
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id: 30441754
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id: 30441755
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id: 30441408
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id: 30441409
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id: 30441410
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id: 30441411
{'center': '1.a1', 'center_index': 1, 'center_order': 800, 'counter': 103, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '800.942', 'group_counter': 942, 'group_order': 800, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.d1', 'kernel_order': 80, 'label': '800.942.1af3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 0]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -2]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, -1]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 0]], [[-1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[1, -2]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 0]], [[-1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[-1, -2]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, -2]], [[-1, -1]], [[1, 2]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[1, 1]], [[1, 0]], [[-1, -2]], [[-1, 0]], [[-1, 2]], [[1, -1]], [[1, 2]], [[-1, 1]], [[1, 1]], [[1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[-1, 2]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -2]], [[1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 1]], [[-1, -2]], [[-1, -1]]]}
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id: 30441412
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id: 30441413
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id: 30441414
{'center': '1.a1', 'center_index': 1, 'center_order': 800, 'counter': 106, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '800.942', 'group_counter': 942, 'group_order': 800, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.d1', 'kernel_order': 80, 'label': '800.942.1ag2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, 0]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 0]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 0]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 2]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[-1, 0]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[1, -2]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[1, -2]], [[1, -2]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[1, -2]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[1, 1]], [[1, -2]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 0]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[-1, -1]], [[1, -2]], [[-1, -1]], [[1, 2]], [[1, 0]], [[1, -2]], [[-1, -1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 0]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, 0]], [[-1, -2]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, 2]], [[-1, -1]]]}
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id: 30441415
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id: 30441416
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id: 30441417
{'center': '1.a1', 'center_index': 1, 'center_order': 800, 'counter': 109, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '800.942', 'group_counter': 942, 'group_order': 800, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.d1', 'kernel_order': 80, 'label': '800.942.1ah1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 0]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 1]], [[-1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 2]], [[-1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, -2]], [[-1, 0]], [[1, -1]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, -2]], [[1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[1, -2]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 0]], [[-1, -2]], [[-1, -2]], [[1, 1]], [[1, 0]], [[-1, -1]], [[-1, 2]], [[1, 2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, -2]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[-1, -2]], [[1, -2]], [[-1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 0]], [[-1, -2]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[-1, 0]], [[1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, -2]], [[-1, -2]], [[1, -1]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 0]], [[1, 0]], [[-1, 2]]]}
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id: 30441419
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id: 30441420
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id: 30441421
{'center': '1.a1', 'center_index': 1, 'center_order': 800, 'counter': 112, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '800.942', 'group_counter': 942, 'group_order': 800, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.d1', 'kernel_order': 80, 'label': '800.942.1ah4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 0]], [[-1, -2]], [[-1, 0]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 0]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 2]], [[-1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -1]], [[-1, 2]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, -1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 0]], [[1, -2]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[1, 1]], [[1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[1, 1]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 2]], [[1, 0]], [[-1, -2]], [[-1, -1]], [[1, -1]], [[1, 0]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 0]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[-1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 0]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[-1, 0]], [[1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[1, -2]], [[1, 1]], [[-1, 1]], [[1, -2]], [[1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[-1, -1]]]}
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id: 30441422
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id: 30441423
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id: 30441424
{'center': '1.a1', 'center_index': 1, 'center_order': 800, 'counter': 115, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '800.942', 'group_counter': 942, 'group_order': 800, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.d1', 'kernel_order': 80, 'label': '800.942.1ai3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 0]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 0]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[-1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, -2]], [[-1, -2]], [[1, -2]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, -2]], [[-1, -2]], [[1, 2]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[1, 0]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, -2]], [[-1, -2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -2]], [[-1, 1]], [[-1, -2]], [[1, 0]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, -2]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 0]], [[-1, 1]], [[-1, -2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 0]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[-1, -2]], [[-1, 0]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 0]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 0]], [[-1, 2]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[1, 0]], [[1, -2]], [[-1, -2]], [[1, 2]], [[1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[1, 2]], [[1, -1]], [[1, 0]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[-1, 2]]]}
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id: 30441425
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id: 30441426
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id: 30441427
{'center': '1.a1', 'center_index': 1, 'center_order': 800, 'counter': 118, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '800.942', 'group_counter': 942, 'group_order': 800, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.d1', 'kernel_order': 80, 'label': '800.942.1aj2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 0]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 0]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 0]], [[-1, -2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 0]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, -2]], [[-1, 2]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[1, -2]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[-1, 0]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -2]], [[1, 1]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, 2]], [[1, 0]], [[-1, 0]], [[-1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 0]], [[-1, -2]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, -2]], [[-1, 1]], [[1, -1]], [[-1, 2]], [[1, 1]], [[1, 1]], [[1, -2]], [[-1, 2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 0]], [[-1, -2]], [[-1, -2]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[1, -1]], [[-1, 2]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, -2]], [[-1, 0]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[-1, 0]]]}
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id: 30441428
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id: 30441430
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id: 30441431
{'center': '1.a1', 'center_index': 1, 'center_order': 800, 'counter': 121, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '800.942', 'group_counter': 942, 'group_order': 800, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.d1', 'kernel_order': 80, 'label': '800.942.1ak1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -2]], [[-1, 0]], [[-1, -2]], [[-1, 0]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -2]], [[-1, 0]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, -1]], [[-1, 0]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[-1, 0]], [[-1, 0]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -2]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, -2]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -2]], [[-1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 0]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, -2]], [[1, -1]], [[1, 0]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 0]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[1, -2]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[1, -2]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, -1]], [[-1, 0]], [[1, -1]], [[-1, 2]], [[1, 1]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 0]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, -2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[-1, 2]], [[-1, 0]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 0]], [[-1, -1]], [[1, 2]], [[-1, -2]]]}
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id: 30441432
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id: 30441433
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id: 30441434
{'center': '1.a1', 'center_index': 1, 'center_order': 800, 'counter': 124, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '800.942', 'group_counter': 942, 'group_order': 800, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.d1', 'kernel_order': 80, 'label': '800.942.1ak4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 0]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 0]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -2]], [[-1, 0]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 1]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[-1, 1]], [[-1, -2]], [[1, -2]], [[1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 0]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[1, 1]], [[1, -2]], [[1, 0]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[1, -1]], [[-1, 2]], [[-1, 2]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, -2]], [[-1, 0]], [[1, -2]], [[-1, -1]], [[1, 2]], [[1, -1]], [[1, -1]], [[-1, -1]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[1, -2]], [[1, 2]], [[-1, -2]], [[-1, 0]], [[-1, 2]], [[1, 1]], [[1, 2]], [[1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 0]], [[-1, -2]], [[1, -1]], [[-1, 1]]]}
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id: 30441435
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id: 30441436
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id: 30441437
{'center': '1.a1', 'center_index': 1, 'center_order': 800, 'counter': 127, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '800.942', 'group_counter': 942, 'group_order': 800, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.d1', 'kernel_order': 80, 'label': '800.942.1al3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 0]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -2]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 2]], [[-1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 0]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[-1, -1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 2]], [[-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 2]], [[1, 0]], [[1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[-1, -2]], [[-1, 0]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[1, -1]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[1, -2]], [[1, 2]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[1, -2]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[1, -2]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 1]], [[-1, -2]], [[1, -1]], [[-1, 2]], [[1, 1]], [[1, -1]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 2]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -2]], [[-1, 0]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, 2]], [[-1, -1]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[1, -2]], [[1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[1, -2]], [[-1, -1]]]}
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id: 30441438
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id: 30441439
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id: 30441441
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id: 30441442
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id: 30441443
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id: 30441444
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id: 30441445
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id: 30441446
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id: 30441447
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id: 30441448
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id: 30441449
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id: 30441450
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id: 30441452
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id: 30441453
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id: 30441454
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id: 30441455
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id: 30441456
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id: 30441457
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id: 30441458
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id: 30441459
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id: 30441460
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id: 30441461
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id: 30441463
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id: 30441464
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id: 30441465
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id: 30441466
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id: 30441467
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id: 30441468
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id: 30441469
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id: 30441470
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id: 30441471
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id: 30441472
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id: 30441474
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id: 30441475
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id: 30441476
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id: 30441477
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id: 30441478
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id: 30441479
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id: 30441480
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id: 30441481
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id: 30441482
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id: 30441483
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id: 30441485
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id: 30441486
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id: 30441487
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id: 30441488
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id: 30441489
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id: 30441490
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id: 30441491
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id: 30441492
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id: 30441493
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id: 30441494
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id: 30441496
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id: 30441497
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id: 30441498
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id: 30441499
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id: 30441500
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id: 30441517
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id: 30441501
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id: 30441502
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id: 30441503
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id: 30441504
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id: 30441505
{'center': '1.a1', 'center_index': 1, 'center_order': 800, 'counter': 189, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '800.942', 'group_counter': 942, 'group_order': 800, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1', 'kernel_order': 80, 'label': '800.942.1bb1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 0]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 0]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[1, -1]], [[-1, 2]], [[1, -1]], [[-1, -2]], [[1, 1]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 0]], [[-1, 2]], [[1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, 0]], [[1, -2]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[-1, 1]], [[-1, 0]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[1, -1]], [[-1, -2]], [[-1, 0]], [[1, 0]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[-1, 1]], [[1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, -2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[1, 0]]]}
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id: 30441507
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id: 30441508
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id: 30441509
{'center': '1.a1', 'center_index': 1, 'center_order': 800, 'counter': 192, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '800.942', 'group_counter': 942, 'group_order': 800, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1', 'kernel_order': 80, 'label': '800.942.1bb4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -2]], [[-1, 2]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -2]], [[-1, -2]], [[-1, 0]], [[-1, -2]], [[-1, 2]], [[-1, 0]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[1, -2]], [[-1, -1]], [[1, -2]], [[-1, 1]], [[1, 2]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 0]], [[-1, -1]], [[1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[-1, -2]], [[-1, -2]], [[1, 0]], [[1, 1]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[1, 1]], [[-1, 2]], [[-1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[-1, -1]], [[1, -2]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 0]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[1, 0]]]}
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id: 30441510
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id: 30441511
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id: 30441512
{'center': '1.a1', 'center_index': 1, 'center_order': 800, 'counter': 195, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '800.942', 'group_counter': 942, 'group_order': 800, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1', 'kernel_order': 80, 'label': '800.942.1bc3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 2]], [[-1, 0]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, 0]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 0]], [[-1, -2]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 0]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 0]], [[-1, -2]], [[-1, -2]], [[-1, 0]], [[-1, -1]], [[-1, 2]], [[-1, 0]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 0]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[1, 1]], [[1, -2]], [[-1, 1]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[1, 0]], [[-1, -1]], [[-1, -2]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, -2]], [[-1, 0]], [[-1, -2]], [[-1, 0]], [[1, 0]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[-1, 0]], [[1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 0]], [[-1, 2]], [[-1, 1]], [[1, -1]]]}
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id: 30441513
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id: 30441514
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id: 30441515
{'center': '1.a1', 'center_index': 1, 'center_order': 800, 'counter': 198, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '800.942', 'group_counter': 942, 'group_order': 800, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1', 'kernel_order': 80, 'label': '800.942.1bd2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 0]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, 0]], [[1, -2]], [[-1, 0]], [[1, 0]], [[-1, -1]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[-1, -2]], [[-1, -2]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[-1, -2]], [[-1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[1, 2]], [[-1, 1]], [[-1, -2]], [[1, -2]], [[-1, 0]], [[-1, 2]], [[1, -1]], [[-1, 1]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[1, 2]]]}
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id: 30441516
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id: 30441519
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id: 30441628
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id: 30441690
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id: 30441701
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id: 30441712
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id: 30441723
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id: 30441734
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id: 30441745
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id: 30441407
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id: 30441418
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id: 30441429
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id: 30441440
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id: 30441451
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id: 30441462
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id: 30441473
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id: 30441484
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id: 30441495
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id: 30441506
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id: 30441518
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id: 30441529
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id: 30441540
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id: 30441551
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id: 30441562
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id: 30441573
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id: 30441584
{'center': '1.a1', 'center_index': 1, 'center_order': 800, 'counter': 26, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '800.942', 'group_counter': 942, 'group_order': 800, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1', 'kernel_order': 160, 'label': '800.942.1m2', 'nt': [5, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 2]]]}
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id: 30441595
{'center': '1.a1', 'center_index': 1, 'center_order': 800, 'counter': 27, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '800.942', 'group_counter': 942, 'group_order': 800, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1', 'kernel_order': 160, 'label': '800.942.1m3', 'nt': [5, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -1]]]}
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id: 30441606
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id: 30441617
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id: 30441629
{'center': '1.a1', 'center_index': 1, 'center_order': 800, 'counter': 30, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '800.942', 'group_counter': 942, 'group_order': 800, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1', 'kernel_order': 160, 'label': '800.942.1n2', 'nt': [5, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]]]}
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id: 30441640
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id: 30441651
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id: 30441662
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id: 30441673
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id: 30441684
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id: 30441686
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id: 30441687
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id: 30441688
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id: 30441689
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id: 30441691
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id: 30441692
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id: 30441693
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id: 30441694
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id: 30441695
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id: 30441696
{'center': '1.a1', 'center_index': 1, 'center_order': 800, 'counter': 45, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '800.942', 'group_counter': 942, 'group_order': 800, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.e1', 'kernel_order': 80, 'label': '800.942.1r1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 0]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 0]], [[-1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[1, -2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 0]], [[1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[1, -2]], [[1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -2]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, -2]], [[-1, 0]], [[1, 0]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[-1, 2]], [[1, -1]], [[-1, -2]], [[1, 1]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, -2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, 0]], [[1, -2]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[-1, 1]], [[-1, 0]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 2]], [[-1, 2]], [[1, 1]], [[-1, -2]], [[1, -1]], [[1, 1]], [[-1, 2]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, -2]], [[-1, 1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 0]], [[-1, -2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[1, 0]]]}
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id: 30441697
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id: 30441698
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id: 30441699
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id: 30441700
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id: 30441702
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id: 30441703
{'center': '1.a1', 'center_index': 1, 'center_order': 800, 'counter': 51, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '800.942', 'group_counter': 942, 'group_order': 800, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.e1', 'kernel_order': 80, 'label': '800.942.1s3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 0]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -2]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 2]], [[1, 0]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[1, -2]], [[1, -2]], [[-1, -2]], [[-1, 0]], [[1, -1]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[-1, -2]], [[-1, 0]], [[-1, -2]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 0]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, 2]], [[-1, 0]], [[1, -2]], [[1, -2]], [[1, 0]], [[-1, -1]], [[-1, 2]], [[-1, 0]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[1, -2]], [[1, -2]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 0]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[-1, 1]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 2]], [[-1, 1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, -2]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[1, 0]], [[-1, -1]], [[-1, -2]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, -2]], [[1, 0]], [[-1, -2]], [[1, 0]], [[1, 0]], [[-1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[-1, 0]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -1]], [[-1, 1]], [[-1, 0]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 0]], [[-1, 2]], [[1, 1]], [[1, -1]]]}
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id: 30441704
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id: 30441705
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id: 30441706
{'center': '1.a1', 'center_index': 1, 'center_order': 800, 'counter': 54, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '800.942', 'group_counter': 942, 'group_order': 800, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.e1', 'kernel_order': 80, 'label': '800.942.1t2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 0]], [[-1, -2]], [[-1, 0]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 0]], [[-1, -2]], [[-1, 0]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 0]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, -1]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, -2]], [[-1, -2]], [[1, -2]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[1, -1]], [[-1, -2]], [[-1, -1]], [[1, -2]], [[1, -2]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 0]], [[-1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -2]], [[-1, 0]], [[1, 0]], [[-1, -1]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[-1, 1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, 0]], [[-1, -2]], [[-1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, -1]], [[-1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -1]], [[-1, -2]], [[-1, -2]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[1, -1]], [[1, 2]]]}
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id: 30441707
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id: 30441708
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id: 30441709
{'center': '1.a1', 'center_index': 1, 'center_order': 800, 'counter': 57, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '800.942', 'group_counter': 942, 'group_order': 800, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.e1', 'kernel_order': 80, 'label': '800.942.1u1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 0]], [[-1, -2]], [[-1, 0]], [[-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 0]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 0]], [[-1, -2]], [[-1, 0]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 0]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -2]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, -2]], [[-1, -2]], [[-1, -2]], [[1, -2]], [[1, -2]], [[-1, 0]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[1, 2]], [[-1, -1]], [[-1, 2]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[1, -1]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[1, 2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, -1]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, -2]], [[-1, -2]], [[-1, -2]], [[1, -2]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -2]], [[-1, 0]], [[-1, 0]], [[-1, -2]], [[-1, 0]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[1, 1]], [[-1, -2]], [[-1, 0]], [[-1, 2]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 2]], [[-1, -2]], [[-1, 0]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 0]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, -2]], [[1, 1]]]}
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id: 30441710
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id: 30441711
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id: 30441713
{'center': '1.a1', 'center_index': 1, 'center_order': 800, 'counter': 60, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '800.942', 'group_counter': 942, 'group_order': 800, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.e1', 'kernel_order': 80, 'label': '800.942.1u4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 0]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 1]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -2]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[1, -1]], [[-1, -2]], [[-1, -1]], [[1, -2]], [[1, -2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[1, -2]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[1, -2]], [[-1, -1]], [[-1, -2]], [[1, -1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, -2]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[-1, -1]], [[1, 2]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, 0]], [[-1, -2]], [[1, -2]], [[-1, 2]], [[1, -2]], [[1, -2]], [[1, 0]], [[-1, 2]], [[-1, -2]], [[1, -2]], [[-1, -2]], [[-1, -2]], [[1, 0]], [[1, -2]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 1]], [[1, 2]]]}
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id: 30441714
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id: 30441715
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id: 30441716
{'center': '1.a1', 'center_index': 1, 'center_order': 800, 'counter': 63, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '800.942', 'group_counter': 942, 'group_order': 800, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.e1', 'kernel_order': 80, 'label': '800.942.1v3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 0]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 0]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 0]], [[-1, -1]], [[-1, 2]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[-1, -2]], [[-1, -2]], [[1, -2]], [[1, 2]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[1, -2]], [[-1, -2]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 1]], [[-1, -2]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, 0]], [[1, 2]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -2]], [[1, -2]], [[1, -1]], [[1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, -1]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[1, -2]], [[1, 0]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[-1, -2]], [[-1, 0]], [[1, -1]], [[-1, -1]], [[1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, -1]], [[-1, 1]], [[1, 0]], [[-1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[-1, 2]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 0]], [[-1, 0]], [[1, 1]]]}
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id: 30441717
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id: 30441718
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id: 30441719
{'center': '1.a1', 'center_index': 1, 'center_order': 800, 'counter': 66, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '800.942', 'group_counter': 942, 'group_order': 800, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.e1', 'kernel_order': 80, 'label': '800.942.1w2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 0]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 0]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 2]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[1, -2]], [[1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[1, -2]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[1, 0]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[-1, -2]], [[-1, -1]], [[1, 0]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[-1, -2]], [[1, 0]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, 1]], [[-1, 2]], [[1, -2]], [[-1, -2]], [[1, 2]], [[1, 0]], [[1, 2]], [[-1, 0]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[-1, 1]], [[1, 1]]]}
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id: 30441720
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id: 30441721
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id: 30441722
{'center': '1.a1', 'center_index': 1, 'center_order': 800, 'counter': 69, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '800.942', 'group_counter': 942, 'group_order': 800, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.e1', 'kernel_order': 80, 'label': '800.942.1x1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 0]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 0]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -2]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 2]], [[-1, -2]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 0]], [[-1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[1, 0]], [[1, 0]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 2]], [[1, -1]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, -2]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 0]], [[-1, 2]], [[1, -1]], [[-1, 1]], [[1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 2]], [[-1, 1]], [[1, -2]], [[-1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[-1, -2]], [[-1, 0]], [[1, 0]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[1, 1]], [[1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 2]], [[-1, 1]], [[1, 0]]]}
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id: 30441724
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id: 30441725
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id: 30441726
{'center': '1.a1', 'center_index': 1, 'center_order': 800, 'counter': 72, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '800.942', 'group_counter': 942, 'group_order': 800, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.e1', 'kernel_order': 80, 'label': '800.942.1x4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 0]], [[-1, -2]], [[-1, 0]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, -1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, -2]], [[-1, 2]], [[-1, 0]], [[-1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, -2]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, 2]], [[-1, 0]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[1, -1]], [[1, -1]], [[-1, 0]], [[-1, -2]], [[1, -2]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[1, -1]], [[1, -2]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[1, 2]], [[-1, -2]], [[-1, -2]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 0]], [[-1, -1]], [[1, -2]], [[-1, 2]], [[1, 1]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -1]], [[-1, 2]], [[1, 1]], [[-1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[1, 2]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, -1]], [[-1, 2]], [[1, 0]]]}
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id: 30441727
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id: 30441728
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id: 30441729
{'center': '1.a1', 'center_index': 1, 'center_order': 800, 'counter': 75, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '800.942', 'group_counter': 942, 'group_order': 800, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.e1', 'kernel_order': 80, 'label': '800.942.1y3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 0]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -2]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 2]], [[-1, 0]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -1]], [[-1, -2]], [[-1, -2]], [[1, -2]], [[1, 0]], [[-1, -1]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 0]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[1, 0]], [[-1, -2]], [[-1, -2]], [[-1, 0]], [[1, -1]], [[1, 2]], [[1, 0]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[1, 1]], [[-1, -2]], [[-1, -2]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 0]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[-1, 0]], [[1, -2]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[1, 0]], [[1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 2]], [[-1, 1]], [[1, -1]]]}
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id: 30441730
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id: 30441731
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id: 30441732
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id: 30441733
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id: 30441735
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id: 30441520
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id: 30441668
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id: 30441669
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id: 30441670
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id: 30441671
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id: 30441672
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id: 30441675
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id: 30441676
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id: 30441677
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id: 30441678
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id: 30441679
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id: 30441680
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id: 30441681
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id: 30441682
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id: 30441683
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id: 30441685
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id: 30441521
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id: 30441522
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id: 30441523
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id: 30441524
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id: 30441525
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id: 30441526
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id: 30441527
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id: 30441528
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id: 30441530
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id: 30441531
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id: 30441532
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id: 30441533
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id: 30441534
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id: 30441535
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id: 30441536
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id: 30441537
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id: 30441538
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id: 30441539
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id: 30441541
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id: 30441542
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id: 30441543
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id: 30441544
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id: 30441545
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id: 30441546
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id: 30441547
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id: 30441548
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id: 30441549
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id: 30441550
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id: 30441552
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id: 30441553
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id: 30441554
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id: 30441555
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id: 30441556
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id: 30441557
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id: 30441558
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id: 30441559
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id: 30441560
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id: 30441561
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id: 30441563
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id: 30441564
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id: 30441565
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id: 30441566
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id: 30441567
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id: 30441568
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id: 30441569
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id: 30441570
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id: 30441571
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id: 30441572
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id: 30441574
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id: 30441575
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id: 30441576
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id: 30441577
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id: 30441578
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id: 30441579
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id: 30441580
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id: 30441581
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id: 30441582
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id: 30441583
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id: 30441585
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id: 30441586
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id: 30441587
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id: 30441588
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id: 30441589
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id: 30441590
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id: 30441591
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id: 30441592
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id: 30441593
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id: 30441594
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id: 30441596
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id: 30441597
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id: 30441598
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id: 30441599
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id: 30441600
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id: 30441601
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id: 30441602
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id: 30441603
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id: 30441604
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id: 30441605
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id: 30441607
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id: 30441608
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id: 30441609
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id: 30441610
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id: 30441611
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id: 30441612
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id: 30441613
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id: 30441614
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id: 30441615
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id: 30441616
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id: 30441618
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id: 30441619
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id: 30441620
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id: 30441621
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id: 30441622
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id: 30441623
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id: 30441624
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id: 30441625
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id: 30441626
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id: 30441627
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id: 30441630
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id: 30441631
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id: 30441632
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id: 30441633
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id: 30441634
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id: 30441635
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id: 30441636
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id: 30441637
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id: 30441638
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id: 30441639
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id: 30441641
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id: 30441642
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id: 30441643
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id: 30441644
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id: 30441645
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id: 30441646
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id: 30441647
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id: 30441648
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id: 30441649
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id: 30441650
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id: 30441652
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id: 30441653
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id: 30441654
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id: 30441655
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id: 30441656
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id: 30441657
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id: 30441658
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id: 30441659
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id: 30441660
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id: 30441661
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id: 30441663
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id: 30441664
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id: 30441665
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id: 30441666
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id: 30441667
{'center': '4.c1', 'center_index': 4, 'center_order': 200, 'counter': 334, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '800.942', 'group_counter': 942, 'group_order': 800, 'image': None, 'image_isoclass': '80.48', 'image_order': 80, 'indicator': 0, 'kernel': '80.b1', 'kernel_order': 10, 'label': '800.942.2z8', 'nt': [40, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[0, 0]], [[0, 0]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 4]], [[2, 0]], [[-2, 6]], [[-2, 6]], [[2, 4]], [[-2, 2]], [[2, 4]], [[2, 8]], [[-2, 2]], [[2, 8]], [[-2, 2]], [[-2, 2]], [[2, 0]], [[-2, 6]], [[2, 0]], [[2, 8]], [[-2, 2]], [[2, 0]], [[-2, 6]], [[2, 4]], [[2, 8]], [[2, 4]], [[2, 8]], [[2, 6]], [[2, 2]], [[2, 0]], [[-2, 6]], [[2, 6]], [[-2, 0]], [[-2, 4]], [[-2, 0]], [[-2, 8]], [[-2, 0]], [[-2, 8]], [[-2, 8]], [[-2, 8]], [[-2, 8]], [[2, 2]], [[2, 4]], [[-2, 4]], [[-2, 4]], [[2, 6]], [[2, 2]], [[2, 2]], [[2, 2]], [[2, 6]], [[2, 6]], [[-2, 6]], [[2, 0]], [[2, 6]], [[-2, 8]], [[-2, 2]], [[-2, 2]], [[-2, 4]], [[-2, 4]], [[2, 4]], [[2, 4]], [[-2, 0]], [[2, 8]], [[2, 8]], [[2, 8]], [[-2, 0]], [[2, 2]], [[2, 8]], [[2, 0]], [[-2, 0]], [[2, 6]], [[-2, 0]], [[2, 8]], [[-2, 4]], [[2, 2]], [[-2, 2]], [[-2, 6]], [[-2, 2]], [[2, 2]], [[-2, 8]], [[-2, 4]], [[-2, 8]], [[2, 0]], [[-2, 8]], [[2, 6]], [[-2, 8]], [[-2, 0]], [[2, 2]], [[-2, 4]], [[2, 6]], [[-2, 4]], [[2, 6]], [[2, 4]], [[-2, 2]], [[-2, 4]], [[-2, 6]], [[-2, 6]], [[2, 2]], [[2, 4]], [[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, 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]], [[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, 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]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[2, 3]], [[-2, 9]], [[-2, 3]], [[-2, 1]], [[2, 1]], [[2, 5]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 9]], [[-2, 7]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, 7]], [[-2, 9]], [[0, 0]], [[0, 0]], [[-2, 5]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 3]], [[-2, 1]], [[-2, 3]], [[-2, 1]], [[2, 1]], [[2, 5]], [[0, 0]], [[-2, 3]], [[-2, 5]], [[-2, 3]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 9]], [[0, 0]], [[0, 0]], [[2, 3]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 9]], [[2, 7]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5]], [[2, 5]], [[0, 0]], [[0, 0]], [[-2, 7]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 9]], [[2, 3]], [[0, 0]], [[0, 0]], [[2, 3]], [[-2, 7]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 5]], [[0, 0]], [[0, 0]], [[-2, 3]], [[2, 7]], [[2, 7]], [[2, 9]], [[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, 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]], [[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, 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]], [[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, 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]]]}
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gps_subgroup_search • Show schema
Hide schema
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id: 111031862
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': True, 'core_order': 800, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 10, 'label': '800.942.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['F', 'R', 'U0', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '800.942', 'subgroup_hash': 942, 'subgroup_order': 800, 'subgroup_tex': 'C_{10}^2.D_4', 'supersolvable': True, 'sylow': 0}
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id: 111031873
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': True, 'core_order': 400, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '800.942.2.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '400.202', 'subgroup_hash': 202, 'subgroup_order': 400, 'subgroup_tex': 'C_4:C_{10}^2', 'supersolvable': True, 'sylow': 0}
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id: 111031884
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 400, 'characteristic': True, 'core_order': 400, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '800.942.2.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '400.201', 'subgroup_hash': 201, 'subgroup_order': 400, 'subgroup_tex': 'C_2\\times C_{10}\\times C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 111031895
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': True, 'core_order': 400, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '800.942.2.c1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '400.109', 'subgroup_hash': 109, 'subgroup_order': 400, 'subgroup_tex': 'C_{10}^2:C_4', 'supersolvable': True, 'sylow': 0}
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id: 111031906
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 400, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '800.942.2.d1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '400.109', 'subgroup_hash': 109, 'subgroup_order': 400, 'subgroup_tex': 'C_{10}^2:C_4', 'supersolvable': True, 'sylow': 0}
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id: 111031917
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 400, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '800.942.2.e1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '400.110', 'subgroup_hash': 110, 'subgroup_order': 400, 'subgroup_tex': 'C_{20}:C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 111031928
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 400, 'characteristic': True, 'core_order': 200, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '800.942.4.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '200.52', 'subgroup_hash': 52, 'subgroup_order': 200, 'subgroup_tex': 'C_2\\times C_{10}^2', 'supersolvable': True, 'sylow': 0}
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id: 111031938
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 200, 'characteristic': True, 'core_order': 200, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '800.942.4.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '200.52', 'subgroup_hash': 52, 'subgroup_order': 200, 'subgroup_tex': 'C_2\\times C_{10}^2', 'supersolvable': True, 'sylow': 0}
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id: 111031939
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 400, 'characteristic': False, 'core_order': 200, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '800.942.4.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '200.37', 'subgroup_hash': 37, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}\\times C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 111031863
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 200, 'characteristic': False, 'core_order': 200, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '800.942.4.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '200.37', 'subgroup_hash': 37, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}\\times C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 111031864
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 200, 'characteristic': True, 'core_order': 200, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '800.942.4.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '200.37', 'subgroup_hash': 37, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}\\times C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 111031865
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 100, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '800.942.4.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.38', 'subgroup_hash': 38, 'subgroup_order': 200, 'subgroup_tex': 'D_4\\times C_5^2', 'supersolvable': True, 'sylow': 0}
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id: 111031866
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 400, 'characteristic': False, 'core_order': 100, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '800.942.4.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.37', 'subgroup_hash': 37, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}\\times C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 111031867
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': True, 'centralizer_order': 100, 'characteristic': False, 'core_order': 160, 'counter': 14, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '800.942.5.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '5.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '5.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 5, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '160.184', 'subgroup_hash': 184, 'subgroup_order': 160, 'subgroup_tex': '(C_2^2\\times C_{20}):C_2', 'supersolvable': True, 'sylow': 0}
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id: 111031868
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 800, 'characteristic': True, 'core_order': 100, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '800.942.8.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'S', 'U1', 'C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '100.16', 'subgroup_hash': 16, 'subgroup_order': 100, 'subgroup_tex': 'C_{10}^2', 'supersolvable': True, 'sylow': 0}
-
id: 111031869
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 400, 'characteristic': False, 'core_order': 100, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '800.942.8.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '100.16', 'subgroup_hash': 16, 'subgroup_order': 100, 'subgroup_tex': 'C_{10}^2', 'supersolvable': True, 'sylow': 0}
-
id: 111031870
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 200, 'characteristic': False, 'core_order': 50, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '800.942.8.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.16', 'subgroup_hash': 16, 'subgroup_order': 100, 'subgroup_tex': 'C_{10}^2', 'supersolvable': True, 'sylow': 0}
-
id: 111031871
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 400, 'characteristic': False, 'core_order': 50, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '800.942.8.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.8', 'subgroup_hash': 8, 'subgroup_order': 100, 'subgroup_tex': 'C_5\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 111031872
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 200, 'characteristic': False, 'core_order': 50, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '800.942.8.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.8', 'subgroup_hash': 8, 'subgroup_order': 100, 'subgroup_tex': 'C_5\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 111031874
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 400, 'characteristic': False, 'core_order': 50, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '800.942.8.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.16', 'subgroup_hash': 16, 'subgroup_order': 100, 'subgroup_tex': 'C_{10}^2', 'supersolvable': True, 'sylow': 0}
-
id: 111031875
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 200, 'characteristic': False, 'core_order': 50, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '800.942.8.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.16', 'subgroup_hash': 16, 'subgroup_order': 100, 'subgroup_tex': 'C_{10}^2', 'supersolvable': True, 'sylow': 0}
-
id: 111031876
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 200, 'characteristic': False, 'core_order': 50, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '800.942.8.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.8', 'subgroup_hash': 8, 'subgroup_order': 100, 'subgroup_tex': 'C_5\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 111031877
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 80, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '800.942.10.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '10.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.46', 'subgroup_hash': 46, 'subgroup_order': 80, 'subgroup_tex': 'D_4\\times C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 111031878
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 400, 'characteristic': False, 'core_order': 80, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '800.942.10.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '10.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '80.45', 'subgroup_hash': 45, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 111031879
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 80, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '800.942.10.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '10.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '80.21', 'subgroup_hash': 21, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2:C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 111031880
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 80, 'counter': 26, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '800.942.10.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '10.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '80.21', 'subgroup_hash': 21, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2:C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 111031881
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 80, 'counter': 27, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '800.942.10.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '10.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '80.22', 'subgroup_hash': 22, 'subgroup_order': 80, 'subgroup_tex': 'C_4:C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 111031882
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 800, 'characteristic': True, 'core_order': 50, 'counter': 28, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '800.942.16.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 111031883
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 50, 'counter': 29, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '800.942.16.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 111031885
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 400, 'characteristic': False, 'core_order': 25, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '800.942.16.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 111031886
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 200, 'characteristic': False, 'core_order': 25, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '800.942.16.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 111031887
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 400, 'characteristic': False, 'core_order': 40, 'counter': 32, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '800.942.20.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.14', 'subgroup_hash': 14, 'subgroup_order': 40, 'subgroup_tex': 'C_2^2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 111031888
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 200, 'characteristic': False, 'core_order': 40, 'counter': 33, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '800.942.20.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.14', 'subgroup_hash': 14, 'subgroup_order': 40, 'subgroup_tex': 'C_2^2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 111031889
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 400, 'characteristic': False, 'core_order': 40, 'counter': 34, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '800.942.20.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 111031890
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 200, 'characteristic': False, 'core_order': 40, 'counter': 35, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '800.942.20.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 111031891
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 200, 'characteristic': False, 'core_order': 40, 'counter': 36, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '800.942.20.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 111031892
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 20, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '800.942.20.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.10', 'subgroup_hash': 10, 'subgroup_order': 40, 'subgroup_tex': 'C_5\\times D_4', 'supersolvable': True, 'sylow': 0}
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id: 111031893
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 400, 'characteristic': False, 'core_order': 20, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '800.942.20.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 111031894
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': True, 'centralizer_order': 100, 'characteristic': True, 'core_order': 32, 'counter': 39, 'cyclic': False, 'direct': True, 'hall': 2, 'label': '800.942.25.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '25.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '25.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 25, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.30', 'subgroup_hash': 30, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 2}
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id: 111031896
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 800, 'characteristic': True, 'core_order': 25, 'counter': 40, 'cyclic': False, 'direct': True, 'hall': 5, 'label': '800.942.32.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.30', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 30, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 5}
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id: 111031897
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 20, 'counter': 41, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '800.942.40.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 111031898
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 400, 'characteristic': False, 'core_order': 20, 'counter': 42, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '800.942.40.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 111031899
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 200, 'characteristic': False, 'core_order': 10, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '800.942.40.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 111031900
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 400, 'characteristic': False, 'core_order': 10, 'counter': 44, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '800.942.40.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 111031901
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 200, 'characteristic': False, 'core_order': 10, 'counter': 45, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '800.942.40.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 111031902
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 400, 'characteristic': False, 'core_order': 10, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '800.942.40.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 111031903
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 200, 'characteristic': False, 'core_order': 10, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '800.942.40.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 111031904
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 200, 'characteristic': False, 'core_order': 10, 'counter': 48, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '800.942.40.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 111031905
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': True, 'core_order': 16, 'counter': 49, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '800.942.50.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '50.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '50.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 50, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
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id: 111031907
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 400, 'characteristic': True, 'core_order': 16, 'counter': 50, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '800.942.50.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '50.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '50.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 50, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 111031908
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': True, 'core_order': 16, 'counter': 51, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '800.942.50.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '50.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '50.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 50, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
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id: 111031909
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 16, 'counter': 52, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '800.942.50.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '50.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '50.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 50, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 111031910
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 16, 'counter': 53, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '800.942.50.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '50.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '50.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 50, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
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id: 111031911
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 10, 'counter': 54, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '800.942.80.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 111031912
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 10, 'counter': 55, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '800.942.80.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 48, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 111031913
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 400, 'characteristic': False, 'core_order': 5, 'counter': 56, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '800.942.80.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 111031914
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 200, 'characteristic': False, 'core_order': 5, 'counter': 57, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '800.942.80.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 111031915
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 400, 'characteristic': True, 'core_order': 8, 'counter': 58, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '800.942.100.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '100.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '100.16', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 16, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 111031916
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 200, 'characteristic': True, 'core_order': 8, 'counter': 59, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '800.942.100.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '100.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '100.16', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 16, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 111031918
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 400, 'characteristic': False, 'core_order': 8, 'counter': 60, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '800.942.100.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '100.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '100.16', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 16, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 111031919
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 200, 'characteristic': False, 'core_order': 8, 'counter': 61, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '800.942.100.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '100.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '100.16', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 16, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 111031920
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 200, 'characteristic': True, 'core_order': 8, 'counter': 62, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '800.942.100.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '100.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '100.16', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 16, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 111031921
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 4, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '800.942.100.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '100.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
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id: 111031922
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 400, 'characteristic': False, 'core_order': 4, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '800.942.100.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '100.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 111031923
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 5, 'counter': 65, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '800.942.160.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '160.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '160.184', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 184, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 160, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^2\\times C_{20}):C_2', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 0}
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id: 111031924
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 800, 'characteristic': True, 'core_order': 4, 'counter': 66, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '800.942.200.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '200.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '200.52', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 52, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': ['D', 'Phi', 'L1', 'D1', 'C5'], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 111031925
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 400, 'characteristic': False, 'core_order': 4, 'counter': 67, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '800.942.200.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '200.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '200.38', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 38, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_5^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 111031926
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 200, 'characteristic': False, 'core_order': 2, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '800.942.200.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '200.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 111031927
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 400, 'characteristic': False, 'core_order': 2, 'counter': 69, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '800.942.200.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '200.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 111031929
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 200, 'characteristic': False, 'core_order': 2, 'counter': 70, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '800.942.200.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '200.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 111031930
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 400, 'characteristic': False, 'core_order': 2, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '800.942.200.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '200.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 111031931
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 200, 'characteristic': False, 'core_order': 2, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '800.942.200.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '200.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 111031932
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 200, 'characteristic': False, 'core_order': 2, 'counter': 73, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '800.942.200.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '200.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 111031933
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 800, 'characteristic': True, 'core_order': 2, 'counter': 74, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '800.942.400.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '400.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '400.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 202, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 400, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:C_{10}^2', 'simple': True, 'solvable': True, 'special_labels': ['C6'], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 111031934
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 2, 'counter': 75, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '800.942.400.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '400.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '400.204', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 204, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 400, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4.C_{10}^2', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 111031935
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 400, 'characteristic': False, 'core_order': 1, 'counter': 76, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '800.942.400.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '400.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 111031936
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': False, 'central_factor': False, 'centralizer_order': 200, 'characteristic': False, 'core_order': 1, 'counter': 77, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '800.942.400.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '400.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 111031937
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '800.942', 'ambient_counter': 942, 'ambient_order': 800, 'ambient_tex': 'C_{10}^2.D_4', 'central': True, 'central_factor': False, 'centralizer_order': 800, 'characteristic': True, 'core_order': 1, 'counter': 78, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '800.942.800.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '800.a1', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '800.942', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 942, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 800, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2.D_4', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U2', 'L2', 'D2', 'C7'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
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gps_subgroup_data • Show schema
Hide schema
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id: 111031931
{'ambient': '800.942', 'aut_centralizer_order': 7680, 'aut_label': '200.g1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 30720, 'centralizer': '4.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['40.g1', '100.b1'], 'contains': ['400.b1', '400.d1'], 'core': '400.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [1576, -1, 6004, -1], 'generators': [611, 420], 'label': '800.942.200.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '100.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '200.g1', 'projective_image': '400.204', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.g1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 111031932
{'ambient': '800.942', 'aut_centralizer_order': 7680, 'aut_label': '200.h1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 30720, 'centralizer': '4.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['40.h1', '100.d1'], 'contains': ['400.b1'], 'core': '400.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [2362, -1, 7679, -1], 'generators': [201], 'label': '800.942.200.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '100.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '200.h1', 'projective_image': '400.204', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.h1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 111031862
{'ambient': '800.942', 'aut_centralizer_order': None, 'aut_label': '1.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1', 'complements': ['800.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '2.b1', '2.c1', '2.d1', '2.e1', '5.a1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6336, 6169, 4626, 3500], 'generators': [1, 20, 200, 8, 10, 400, 160], 'label': '800.942.1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '2.b1', '2.c1', '2.d1', '2.e1', '5.a1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '8.5', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
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id: 111031863
{'ambient': '800.942', 'aut_centralizer_order': 16, 'aut_label': '4.d1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '1920.240757', 'aut_weyl_index': 32, 'centralizer': '4.d1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.c1', '2.d1', '2.e1'], 'contains': ['8.a1', '8.h1', '20.d1'], 'core': '4.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [3822, 6805, 4935, 2124], 'generators': [201, 8, 160, 400, 420], 'label': '800.942.4.d1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.d1', 'normal_contained_in': ['2.c1', '2.d1', '2.e1'], 'normal_contains': ['8.a1', '20.d1'], 'normalizer': '1.a1', 'old_label': '4.d1', 'projective_image': '8.5', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.d1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
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id: 111031864
{'ambient': '800.942', 'aut_centralizer_order': 16, 'aut_label': '4.e1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '3840.g', 'aut_weyl_index': 16, 'centralizer': '4.e1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '2.e1'], 'contains': ['8.a1', '8.e1', '20.e1'], 'core': '4.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [6743, 2450, 3571, 1247], 'generators': [610, 8, 160, 400, 20], 'label': '800.942.4.e1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.e1', 'normal_contained_in': ['2.a1', '2.e1'], 'normal_contains': ['8.a1', '20.e1'], 'normalizer': '1.a1', 'old_label': '4.e1', 'projective_image': '8.5', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.e1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
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id: 111031865
{'ambient': '800.942', 'aut_centralizer_order': 8, 'aut_label': '4.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1920.240757', 'aut_weyl_index': 32, 'centralizer': '8.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.a1'], 'contains': ['8.b1', '8.c1', '8.e1', '20.f1'], 'core': '8.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [5785, -1, 945, -1], 'generators': [1, 8, 160, 610, 20], 'label': '800.942.4.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '4.f1', 'projective_image': '16.11', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.f1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
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id: 111031866
{'ambient': '800.942', 'aut_centralizer_order': 4, 'aut_label': '4.g1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '3840.g', 'aut_weyl_index': 16, 'centralizer': '2.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.b1'], 'contains': ['8.b1', '8.d1', '20.g1'], 'core': '8.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [8633, -1, 2230, -1], 'generators': [1, 8, 160, 10, 20], 'label': '800.942.4.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '4.g1', 'projective_image': '16.11', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 111031867
{'ambient': '800.942', 'aut_centralizer_order': 20, 'aut_label': '5.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '512.514818', 'aut_weyl_index': 120, 'centralizer': '8.a1', 'complements': ['160.a1'], 'conjugacy_class_count': 6, 'contained_in': ['1.a1'], 'contains': ['10.a1', '10.b1', '10.c1', '10.d1', '10.e1', '25.a1'], 'core': '5.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [8822, 8185, 6861, 6303], 'generators': [1, 400, 200, 160, 10, 20], 'label': '800.942.5.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '5.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['10.a1', '10.b1', '10.c1', '10.d1', '10.e1', '25.a1'], 'normalizer': '1.a1', 'old_label': '5.a1', 'projective_image': '40.14', 'quotient_action_image': '1.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '5.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
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id: 111031868
{'ambient': '800.942', 'aut_centralizer_order': 64, 'aut_label': '8.a1', 'aut_quo_index': 84, 'aut_stab_index': 1, 'aut_weyl_group': '960.5693', 'aut_weyl_index': 64, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '4.b1', '4.c1', '4.d1', '4.e1'], 'contains': ['16.a1', '16.b1', '40.a1'], 'core': '8.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3814, 2437, 2897, 2489], 'generators': [20, 8, 160, 400], 'label': '800.942.8.a1', 'mobius_quo': 10, 'mobius_sub': -8, 'normal_closure': '8.a1', 'normal_contained_in': ['4.a1', '4.b1', '4.c1', '4.d1', '4.e1'], 'normal_contains': ['16.a1', '16.b1', '40.a1'], 'normalizer': '1.a1', 'old_label': '8.a1', 'projective_image': '8.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.5', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 111031869
{'ambient': '800.942', 'aut_centralizer_order': 32, 'aut_label': '8.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '960.5693', 'aut_weyl_index': 64, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.a1', '4.f1', '4.g1'], 'contains': ['16.a1', '16.c1', '40.b1'], 'core': '8.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [4835, 1114, 945, 2992], 'generators': [1, 8, 160, 20], 'label': '800.942.8.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': ['4.a1'], 'normal_contains': ['16.a1', '40.b1'], 'normalizer': '1.a1', 'old_label': '8.b1', 'projective_image': '16.11', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 111031870
{'ambient': '800.942', 'aut_centralizer_order': 32, 'aut_label': '8.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '960.5693', 'aut_weyl_index': 64, 'centralizer': '4.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1', '4.f1'], 'contains': ['16.a1', '16.d1', '40.c1'], 'core': '16.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2647, -1, 163, -1], 'generators': [611, 8, 160, 20], 'label': '800.942.8.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '8.c1', 'projective_image': '16.11', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 111031871
{'ambient': '800.942', 'aut_centralizer_order': 16, 'aut_label': '8.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '960.5693', 'aut_weyl_index': 64, 'centralizer': '2.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.c1', '4.g1'], 'contains': ['16.a1', '40.d1'], 'core': '16.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [7344, -1, 2409, -1], 'generators': [11, 160, 20, 8], 'label': '800.942.8.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '8.d1', 'projective_image': '16.11', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 111031872
{'ambient': '800.942', 'aut_centralizer_order': 32, 'aut_label': '8.e1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '960.5693', 'aut_weyl_index': 64, 'centralizer': '4.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1', '4.f1'], 'contains': ['16.a1', '40.e1'], 'core': '16.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6227, -1, 1824, -1], 'generators': [610, 160, 20, 8], 'label': '800.942.8.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '8.e1', 'projective_image': '16.11', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 111031873
{'ambient': '800.942', 'aut_centralizer_order': 4, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '15360.d', 'aut_weyl_index': 4, 'centralizer': '8.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.b1', '4.e1', '4.f1', '10.a1'], 'core': '2.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5852, 2450, 2499, 1090], 'generators': [1, 20, 400, 8, 610, 160], 'label': '800.942.2.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.b1', '4.e1', '10.a1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': '8.5', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
-
id: 111031874
{'ambient': '800.942', 'aut_centralizer_order': 16, 'aut_label': '8.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '960.5693', 'aut_weyl_index': 64, 'centralizer': '2.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.a1'], 'contains': ['16.b1', '16.c1', '40.f1'], 'core': '16.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [2155, -1, 1336, -1], 'generators': [1, 8, 160, 420], 'label': '800.942.8.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '8.f1', 'projective_image': '16.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 111031875
{'ambient': '800.942', 'aut_centralizer_order': 16, 'aut_label': '8.g1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '960.5693', 'aut_weyl_index': 64, 'centralizer': '4.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.b1'], 'contains': ['16.b1', '16.d1', '40.g1'], 'core': '16.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [857, -1, 554, -1], 'generators': [611, 8, 160, 420], 'label': '800.942.8.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '8.g1', 'projective_image': '16.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.g1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 111031876
{'ambient': '800.942', 'aut_centralizer_order': 16, 'aut_label': '8.h1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '960.5693', 'aut_weyl_index': 64, 'centralizer': '4.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.d1'], 'contains': ['16.b1', '40.h1'], 'core': '16.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [1540, -1, 3385, -1], 'generators': [201, 160, 420, 8], 'label': '800.942.8.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '8.h1', 'projective_image': '16.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.h1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 111031877
{'ambient': '800.942', 'aut_centralizer_order': 80, 'aut_label': '10.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '128.1031', 'aut_weyl_index': 480, 'centralizer': '8.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['2.a1', '5.a1'], 'contains': ['20.a1', '20.b1', '20.e1', '20.f1', '50.a1'], 'core': '10.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [7173, 3876, 5569, 4669], 'generators': [1, 400, 160, 610, 20], 'label': '800.942.10.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.a1', 'normal_contained_in': ['2.a1', '5.a1'], 'normal_contains': ['20.a1', '20.b1', '20.e1', '50.a1'], 'normalizer': '1.a1', 'old_label': '10.a1', 'projective_image': '40.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
-
id: 111031878
{'ambient': '800.942', 'aut_centralizer_order': 80, 'aut_label': '10.b1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '128.1031', 'aut_weyl_index': 480, 'centralizer': '2.b1', 'complements': ['80.d1'], 'conjugacy_class_count': 6, 'contained_in': ['2.b1', '5.a1'], 'contains': ['20.a1', '20.c1', '20.g1', '50.b1'], 'core': '10.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [9583, 5809, 6194, 7984], 'generators': [1, 400, 160, 10, 20], 'label': '800.942.10.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.b1', 'normal_contained_in': ['2.b1', '5.a1'], 'normal_contains': ['20.a1', '20.c1', '50.b1'], 'normalizer': '1.a1', 'old_label': '10.b1', 'projective_image': '40.14', 'quotient_action_image': '2.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '10.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 111031879
{'ambient': '800.942', 'aut_centralizer_order': 80, 'aut_label': '10.c1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '128.1031', 'aut_weyl_index': 480, 'centralizer': '8.a1', 'complements': ['80.d1'], 'conjugacy_class_count': 6, 'contained_in': ['2.c1', '5.a1'], 'contains': ['20.a1', '20.d1', '50.c1'], 'core': '10.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [6033, 9535, 7536, 7126], 'generators': [1, 160, 20, 200, 400], 'label': '800.942.10.c1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.c1', 'normal_contained_in': ['2.c1', '5.a1'], 'normal_contains': ['20.a1', '20.d1', '50.c1'], 'normalizer': '1.a1', 'old_label': '10.c1', 'projective_image': '40.14', 'quotient_action_image': '2.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '10.c1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
-
id: 111031880
{'ambient': '800.942', 'aut_centralizer_order': 80, 'aut_label': '10.d1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '64.260', 'aut_weyl_index': 960, 'centralizer': '8.a1', 'complements': ['80.c1'], 'conjugacy_class_count': 12, 'contained_in': ['2.d1', '5.a1'], 'contains': ['20.b1', '20.c1', '20.d1', '50.d1'], 'core': '10.d1', 'coset_action_label': None, 'count': 12, 'diagramx': [5012, 8083, 6861, 5481], 'generators': [11, 160, 20, 200, 400], 'label': '800.942.10.d1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.d1', 'normal_contained_in': ['2.d1', '5.a1'], 'normal_contains': ['20.b1', '20.c1', '20.d1', '50.d1'], 'normalizer': '1.a1', 'old_label': '10.d1', 'projective_image': '40.14', 'quotient_action_image': '2.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '10.d1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
-
id: 111031881
{'ambient': '800.942', 'aut_centralizer_order': 80, 'aut_label': '10.e1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '64.260', 'aut_weyl_index': 960, 'centralizer': '8.a1', 'complements': ['80.d1', '80.c1'], 'conjugacy_class_count': 12, 'contained_in': ['2.e1', '5.a1'], 'contains': ['20.c1', '20.d1', '20.e1', '50.e1'], 'core': '10.e1', 'coset_action_label': None, 'count': 12, 'diagramx': [8430, 6939, 8174, 6303], 'generators': [11, 160, 20, 610, 400], 'label': '800.942.10.e1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.e1', 'normal_contained_in': ['2.e1', '5.a1'], 'normal_contains': ['20.c1', '20.d1', '20.e1', '50.e1'], 'normalizer': '1.a1', 'old_label': '10.e1', 'projective_image': '40.14', 'quotient_action_image': '2.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '10.e1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
-
id: 111031882
{'ambient': '800.942', 'aut_centralizer_order': 128, 'aut_label': '16.a1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '480.218', 'aut_weyl_index': 128, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '8.b1', '8.c1', '8.d1', '8.e1'], 'contains': ['32.a1', '80.a1'], 'core': '16.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3470, 465, 1806, 3861], 'generators': [20, 160, 8], 'label': '800.942.16.a1', 'mobius_quo': -5, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': ['8.a1', '8.b1'], 'normal_contains': ['32.a1', '80.a1'], 'normalizer': '1.a1', 'old_label': '16.a1', 'projective_image': '16.11', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.11', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 111031883
{'ambient': '800.942', 'aut_centralizer_order': 64, 'aut_label': '16.b1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '480.218', 'aut_weyl_index': 128, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.a1', '8.f1', '8.g1', '8.h1'], 'contains': ['32.a1', '80.b1'], 'core': '16.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [1241, 1764, 2391, 3108], 'generators': [420, 160, 8], 'label': '800.942.16.b1', 'mobius_quo': -5, 'mobius_sub': 0, 'normal_closure': '16.b1', 'normal_contained_in': ['8.a1'], 'normal_contains': ['32.a1', '80.b1'], 'normalizer': '1.a1', 'old_label': '16.b1', 'projective_image': '16.13', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.13', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 111031884
{'ambient': '800.942', 'aut_centralizer_order': 4, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '15360.d', 'aut_weyl_index': 4, 'centralizer': '2.b1', 'complements': ['400.d1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.c1', '4.g1', '10.b1'], 'core': '2.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7846, 4069, 3403, 5057], 'generators': [1, 20, 400, 8, 10, 160], 'label': '800.942.2.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.c1', '10.b1'], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': '8.5', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 111031885
{'ambient': '800.942', 'aut_centralizer_order': 32, 'aut_label': '16.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '480.218', 'aut_weyl_index': 128, 'centralizer': '2.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.b1', '8.f1'], 'contains': ['32.a1', '80.c1'], 'core': '32.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [2155, -1, 1222, -1], 'generators': [1, 160, 8], 'label': '800.942.16.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '16.c1', 'projective_image': '32.30', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 111031886
{'ambient': '800.942', 'aut_centralizer_order': 32, 'aut_label': '16.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '480.218', 'aut_weyl_index': 128, 'centralizer': '4.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1', '8.g1'], 'contains': ['32.a1', '80.d1'], 'core': '32.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [327, -1, 604, -1], 'generators': [611, 160, 8], 'label': '800.942.16.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1', 'old_label': '16.d1', 'projective_image': '32.30', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 111031887
{'ambient': '800.942', 'aut_centralizer_order': 320, 'aut_label': '20.a1', 'aut_quo_index': 6, 'aut_stab_index': 6, 'aut_weyl_group': '32.25', 'aut_weyl_index': 1920, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['4.a1', '10.a1', '10.b1', '10.c1'], 'contains': ['40.a1', '40.b1', '40.f1', '100.a1'], 'core': '20.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [5767, 2727, 5749, 6784], 'generators': [1, 400, 160, 20], 'label': '800.942.20.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.a1', 'normal_contained_in': ['4.a1', '10.a1', '10.b1', '10.c1'], 'normal_contains': ['40.a1', '40.b1', '100.a1'], 'normalizer': '1.a1', 'old_label': '20.a1', 'projective_image': '40.14', 'quotient_action_image': '2.1', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '20.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 111031888
{'ambient': '800.942', 'aut_centralizer_order': 320, 'aut_label': '20.b1', 'aut_quo_index': 3, 'aut_stab_index': 6, 'aut_weyl_group': '32.25', 'aut_weyl_index': 1920, 'centralizer': '4.b1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['4.b1', '10.a1', '10.d1'], 'contains': ['40.a1', '40.c1', '40.g1', '100.b1'], 'core': '20.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [3678, 5206, 4501, 3671], 'generators': [611, 400, 160, 20], 'label': '800.942.20.b1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.b1', 'normal_contained_in': ['4.b1', '10.a1', '10.d1'], 'normal_contains': ['40.a1', '100.b1'], 'normalizer': '1.a1', 'old_label': '20.b1', 'projective_image': '40.14', 'quotient_action_image': '4.2', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '20.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 111031889
{'ambient': '800.942', 'aut_centralizer_order': 320, 'aut_label': '20.c1', 'aut_quo_index': 6, 'aut_stab_index': 12, 'aut_weyl_group': '16.10', 'aut_weyl_index': 3840, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 12, 'contained_in': ['4.c1', '10.b1', '10.d1', '10.e1'], 'contains': ['40.a1', '40.d1', '100.c1'], 'core': '20.c1', 'coset_action_label': None, 'count': 12, 'diagramx': [8601, 6324, 6958, 5980], 'generators': [11, 160, 20, 400], 'label': '800.942.20.c1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.c1', 'normal_contained_in': ['4.c1', '10.b1', '10.d1', '10.e1'], 'normal_contains': ['40.a1', '100.c1'], 'normalizer': '1.a1', 'old_label': '20.c1', 'projective_image': '40.14', 'quotient_action_image': '2.1', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '20.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 111031890
{'ambient': '800.942', 'aut_centralizer_order': 320, 'aut_label': '20.d1', 'aut_quo_index': 6, 'aut_stab_index': 12, 'aut_weyl_group': '16.10', 'aut_weyl_index': 3840, 'centralizer': '4.d1', 'complements': [], 'conjugacy_class_count': 12, 'contained_in': ['4.d1', '10.c1', '10.d1', '10.e1'], 'contains': ['40.a1', '40.h1', '100.d1'], 'core': '20.d1', 'coset_action_label': None, 'count': 12, 'diagramx': [4808, 8083, 7543, 5227], 'generators': [201, 160, 420, 400], 'label': '800.942.20.d1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.d1', 'normal_contained_in': ['4.d1', '10.c1', '10.d1', '10.e1'], 'normal_contains': ['40.a1', '100.d1'], 'normalizer': '1.a1', 'old_label': '20.d1', 'projective_image': '40.14', 'quotient_action_image': '4.2', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '20.d1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 111031891
{'ambient': '800.942', 'aut_centralizer_order': 320, 'aut_label': '20.e1', 'aut_quo_index': 3, 'aut_stab_index': 6, 'aut_weyl_group': '32.25', 'aut_weyl_index': 1920, 'centralizer': '4.e1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['4.e1', '10.a1', '10.e1'], 'contains': ['40.a1', '40.e1', '100.e1'], 'core': '20.e1', 'coset_action_label': None, 'count': 6, 'diagramx': [7516, 3844, 6373, 4475], 'generators': [610, 160, 20, 400], 'label': '800.942.20.e1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.e1', 'normal_contained_in': ['4.e1', '10.a1', '10.e1'], 'normal_contains': ['40.a1', '100.e1'], 'normalizer': '1.a1', 'old_label': '20.e1', 'projective_image': '40.14', 'quotient_action_image': '4.2', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '20.e1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 111031892
{'ambient': '800.942', 'aut_centralizer_order': 160, 'aut_label': '20.f1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.10', 'aut_weyl_index': 3840, 'centralizer': '8.a1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['4.f1', '10.a1'], 'contains': ['40.b1', '40.c1', '40.e1', '100.f1'], 'core': '40.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [6838, -1, 3923, -1], 'generators': [1, 160, 20, 610], 'label': '800.942.20.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '20.f1', 'projective_image': '80.46', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.f1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 111031893
{'ambient': '800.942', 'aut_centralizer_order': 80, 'aut_label': '20.g1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.25', 'aut_weyl_index': 1920, 'centralizer': '2.b1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['4.g1', '10.b1'], 'contains': ['40.b1', '40.d1', '100.g1'], 'core': '40.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [9514, -1, 5125, -1], 'generators': [1, 160, 20, 10], 'label': '800.942.20.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '20.g1', 'projective_image': '80.46', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 111031894
{'ambient': '800.942', 'aut_centralizer_order': 480, 'aut_label': '25.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '128.1578', 'aut_weyl_index': 480, 'centralizer': '8.a1', 'complements': ['32.a1'], 'conjugacy_class_count': 1, 'contained_in': ['5.a1'], 'contains': ['50.a1', '50.b1', '50.c1', '50.d1', '50.e1'], 'core': '25.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9035, 8462, 8960, 8867], 'generators': [1, 10, 200], 'label': '800.942.25.a1', 'mobius_quo': 0, 'mobius_sub': 5, 'normal_closure': '25.a1', 'normal_contained_in': ['5.a1'], 'normal_contains': ['50.a1', '50.b1', '50.c1', '50.d1', '50.e1'], 'normalizer': '1.a1', 'old_label': '25.a1', 'projective_image': '200.52', 'quotient_action_image': '1.1', 'quotient_action_kernel': '25.2', 'quotient_action_kernel_order': 25, 'quotient_fusion': None, 'short_label': '25.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
-
id: 111031895
{'ambient': '800.942', 'aut_centralizer_order': 4, 'aut_label': '2.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '15360.d', 'aut_weyl_index': 4, 'centralizer': '8.a1', 'complements': ['400.d1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.d1', '10.c1'], 'core': '2.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [4840, 8147, 5003, 3962], 'generators': [1, 400, 8, 160, 200, 20], 'label': '800.942.2.c1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.d1', '10.c1'], 'normalizer': '1.a1', 'old_label': '2.c1', 'projective_image': '8.5', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.c1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
-
id: 111031896
{'ambient': '800.942', 'aut_centralizer_order': 128, 'aut_label': '32.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '480.218', 'aut_weyl_index': 128, 'centralizer': '1.a1', 'complements': ['25.a1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '16.b1', '16.c1', '16.d1'], 'contains': ['160.a1'], 'core': '32.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [898, 530, 1806, 3861], 'generators': [8, 160], 'label': '800.942.32.a1', 'mobius_quo': 5, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': ['16.a1', '16.b1'], 'normal_contains': ['160.a1'], 'normalizer': '1.a1', 'old_label': '32.a1', 'projective_image': '32.30', 'quotient_action_image': '1.1', 'quotient_action_kernel': '32.30', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '32.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 111031897
{'ambient': '800.942', 'aut_centralizer_order': 1280, 'aut_label': '40.a1', 'aut_quo_index': 84, 'aut_stab_index': 6, 'aut_weyl_group': '8.2', 'aut_weyl_index': 7680, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['8.a1', '20.a1', '20.b1', '20.c1', '20.d1', '20.e1'], 'contains': ['80.a1', '80.b1', '200.a1'], 'core': '40.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [4433, 3388, 5950, 5227], 'generators': [20, 160, 400], 'label': '800.942.40.a1', 'mobius_quo': -2, 'mobius_sub': 8, 'normal_closure': '40.a1', 'normal_contained_in': ['8.a1', '20.a1', '20.b1', '20.c1', '20.d1', '20.e1'], 'normal_contains': ['80.a1', '80.b1', '200.a1'], 'normalizer': '1.a1', 'old_label': '40.a1', 'projective_image': '40.14', 'quotient_action_image': '1.1', 'quotient_action_kernel': '40.14', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '40.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 111031898
{'ambient': '800.942', 'aut_centralizer_order': 640, 'aut_label': '40.b1', 'aut_quo_index': 2, 'aut_stab_index': 12, 'aut_weyl_group': '8.2', 'aut_weyl_index': 7680, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 12, 'contained_in': ['8.b1', '20.a1', '20.f1', '20.g1'], 'contains': ['80.a1', '80.c1', '200.b1'], 'core': '40.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [5170, 1764, 4145, 5980], 'generators': [1, 160, 20], 'label': '800.942.40.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.b1', 'normal_contained_in': ['8.b1', '20.a1'], 'normal_contains': ['80.a1', '200.b1'], 'normalizer': '1.a1', 'old_label': '40.b1', 'projective_image': '80.46', 'quotient_action_image': '2.1', 'quotient_action_kernel': '20.5', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '40.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 111031899
{'ambient': '800.942', 'aut_centralizer_order': 640, 'aut_label': '40.c1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.2', 'aut_weyl_index': 7680, 'centralizer': '4.b1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.c1', '20.b1', '20.f1'], 'contains': ['80.a1', '80.d1', '200.c1'], 'core': '80.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [3347, -1, 2976, -1], 'generators': [611, 160, 20], 'label': '800.942.40.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '40.c1', 'projective_image': '80.46', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 111031900
{'ambient': '800.942', 'aut_centralizer_order': 320, 'aut_label': '40.d1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.2', 'aut_weyl_index': 7680, 'centralizer': '2.b1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['8.d1', '20.c1', '20.g1'], 'contains': ['80.a1', '200.d1'], 'core': '80.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [7611, -1, 5498, -1], 'generators': [11, 20, 160], 'label': '800.942.40.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '40.d1', 'projective_image': '80.46', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 111031901
{'ambient': '800.942', 'aut_centralizer_order': 640, 'aut_label': '40.e1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.2', 'aut_weyl_index': 7680, 'centralizer': '4.e1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.e1', '20.e1', '20.f1'], 'contains': ['80.a1', '200.e1'], 'core': '80.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6956, -1, 5182, -1], 'generators': [610, 20, 160], 'label': '800.942.40.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '40.e1', 'projective_image': '80.46', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 111031902
{'ambient': '800.942', 'aut_centralizer_order': 320, 'aut_label': '40.f1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.2', 'aut_weyl_index': 7680, 'centralizer': '2.b1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['8.f1', '20.a1'], 'contains': ['80.b1', '80.c1', '200.f1'], 'core': '80.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [2611, -1, 4730, -1], 'generators': [1, 160, 420], 'label': '800.942.40.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '40.f1', 'projective_image': '80.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 111031903
{'ambient': '800.942', 'aut_centralizer_order': 320, 'aut_label': '40.g1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.2', 'aut_weyl_index': 7680, 'centralizer': '4.b1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['8.g1', '20.b1'], 'contains': ['80.b1', '80.d1', '200.g1'], 'core': '80.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [1128, -1, 3561, -1], 'generators': [611, 160, 420], 'label': '800.942.40.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '40.g1', 'projective_image': '80.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.g1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 111031904
{'ambient': '800.942', 'aut_centralizer_order': 320, 'aut_label': '40.h1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.2', 'aut_weyl_index': 7680, 'centralizer': '4.d1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['8.h1', '20.d1'], 'contains': ['80.b1', '200.h1'], 'core': '80.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [1869, -1, 6402, -1], 'generators': [201, 420, 160], 'label': '800.942.40.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '40.h1', 'projective_image': '80.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.h1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 111031905
{'ambient': '800.942', 'aut_centralizer_order': 1920, 'aut_label': '50.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.27', 'aut_weyl_index': 1920, 'centralizer': '8.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['10.a1', '25.a1'], 'contains': ['100.a1', '100.b1', '100.e1', '100.f1'], 'core': '50.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7724, 4814, 8081, 7527], 'generators': [1, 610, 400], 'label': '800.942.50.a1', 'mobius_quo': 0, 'mobius_sub': -5, 'normal_closure': '50.a1', 'normal_contained_in': ['10.a1', '25.a1'], 'normal_contains': ['100.a1', '100.b1', '100.e1'], 'normalizer': '1.a1', 'old_label': '50.a1', 'projective_image': '200.52', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
-
id: 111031906
{'ambient': '800.942', 'aut_centralizer_order': 4, 'aut_label': '2.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '7680.l', 'aut_weyl_index': 8, 'centralizer': '8.a1', 'complements': ['400.c1'], 'conjugacy_class_count': 2, 'contained_in': ['1.a1'], 'contains': ['4.b1', '4.c1', '4.d1', '10.d1'], 'core': '2.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [3895, 6805, 4253, 2124], 'generators': [11, 400, 8, 160, 200, 20], 'label': '800.942.2.d1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.d1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.b1', '4.c1', '4.d1', '10.d1'], 'normalizer': '1.a1', 'old_label': '2.d1', 'projective_image': '8.5', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.d1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
-
id: 111031907
{'ambient': '800.942', 'aut_centralizer_order': 1920, 'aut_label': '50.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.27', 'aut_weyl_index': 1920, 'centralizer': '2.b1', 'complements': ['16.d1'], 'conjugacy_class_count': 1, 'contained_in': ['10.b1', '25.a1'], 'contains': ['100.a1', '100.c1', '100.g1'], 'core': '50.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [9673, 6715, 8608, 9679], 'generators': [1, 10, 400], 'label': '800.942.50.b1', 'mobius_quo': 0, 'mobius_sub': -5, 'normal_closure': '50.b1', 'normal_contained_in': ['10.b1', '25.a1'], 'normal_contains': ['100.a1', '100.c1'], 'normalizer': '1.a1', 'old_label': '50.b1', 'projective_image': '200.52', 'quotient_action_image': '2.1', 'quotient_action_kernel': '25.2', 'quotient_action_kernel_order': 25, 'quotient_fusion': None, 'short_label': '50.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 111031908
{'ambient': '800.942', 'aut_centralizer_order': 1920, 'aut_label': '50.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.27', 'aut_weyl_index': 1920, 'centralizer': '8.a1', 'complements': ['16.d1'], 'conjugacy_class_count': 1, 'contained_in': ['10.c1', '25.a1'], 'contains': ['100.a1', '100.d1'], 'core': '50.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [6657, 7582, 9498, 9056], 'generators': [1, 200], 'label': '800.942.50.c1', 'mobius_quo': 0, 'mobius_sub': -5, 'normal_closure': '50.c1', 'normal_contained_in': ['10.c1', '25.a1'], 'normal_contains': ['100.a1', '100.d1'], 'normalizer': '1.a1', 'old_label': '50.c1', 'projective_image': '200.52', 'quotient_action_image': '2.1', 'quotient_action_kernel': '25.2', 'quotient_action_kernel_order': 25, 'quotient_fusion': None, 'short_label': '50.c1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
-
id: 111031909
{'ambient': '800.942', 'aut_centralizer_order': 1920, 'aut_label': '50.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '16.14', 'aut_weyl_index': 3840, 'centralizer': '8.a1', 'complements': ['16.c1'], 'conjugacy_class_count': 2, 'contained_in': ['10.d1', '25.a1'], 'contains': ['100.b1', '100.c1', '100.d1'], 'core': '50.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [5971, 8904, 9092, 8104], 'generators': [11, 200], 'label': '800.942.50.d1', 'mobius_quo': 0, 'mobius_sub': -5, 'normal_closure': '50.d1', 'normal_contained_in': ['10.d1', '25.a1'], 'normal_contains': ['100.b1', '100.c1', '100.d1'], 'normalizer': '1.a1', 'old_label': '50.d1', 'projective_image': '200.52', 'quotient_action_image': '2.1', 'quotient_action_kernel': '25.2', 'quotient_action_kernel_order': 25, 'quotient_fusion': None, 'short_label': '50.d1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
-
id: 111031910
{'ambient': '800.942', 'aut_centralizer_order': 1920, 'aut_label': '50.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '16.14', 'aut_weyl_index': 3840, 'centralizer': '8.a1', 'complements': ['16.d1', '16.c1'], 'conjugacy_class_count': 2, 'contained_in': ['10.e1', '25.a1'], 'contains': ['100.c1', '100.d1', '100.e1'], 'core': '50.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [8665, 8243, 9867, 8580], 'generators': [11, 610], 'label': '800.942.50.e1', 'mobius_quo': 0, 'mobius_sub': -5, 'normal_closure': '50.e1', 'normal_contained_in': ['10.e1', '25.a1'], 'normal_contains': ['100.c1', '100.d1', '100.e1'], 'normalizer': '1.a1', 'old_label': '50.e1', 'projective_image': '200.52', 'quotient_action_image': '2.1', 'quotient_action_kernel': '25.2', 'quotient_action_kernel_order': 25, 'quotient_fusion': None, 'short_label': '50.e1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
-
id: 111031911
{'ambient': '800.942', 'aut_centralizer_order': 2560, 'aut_label': '80.a1', 'aut_quo_index': 4, 'aut_stab_index': 6, 'aut_weyl_group': '4.1', 'aut_weyl_index': 15360, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['16.a1', '40.a1', '40.b1', '40.c1', '40.d1', '40.e1'], 'contains': ['160.a1', '400.a1'], 'core': '80.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [4262, 1602, 4866, 5634], 'generators': [20, 160], 'label': '800.942.80.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '80.a1', 'normal_contained_in': ['16.a1', '40.a1', '40.b1'], 'normal_contains': ['160.a1', '400.a1'], 'normalizer': '1.a1', 'old_label': '80.a1', 'projective_image': '80.46', 'quotient_action_image': '1.1', 'quotient_action_kernel': '80.46', 'quotient_action_kernel_order': 80, 'quotient_fusion': None, 'short_label': '80.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 111031912
{'ambient': '800.942', 'aut_centralizer_order': 1280, 'aut_label': '80.b1', 'aut_quo_index': 6, 'aut_stab_index': 12, 'aut_weyl_group': '4.1', 'aut_weyl_index': 15360, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 12, 'contained_in': ['16.b1', '40.a1', '40.f1', '40.g1', '40.h1'], 'contains': ['160.a1', '400.b1'], 'core': '80.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [1847, 2514, 5182, 5227], 'generators': [420, 160], 'label': '800.942.80.b1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '80.b1', 'normal_contained_in': ['16.b1', '40.a1'], 'normal_contains': ['160.a1', '400.b1'], 'normalizer': '1.a1', 'old_label': '80.b1', 'projective_image': '80.48', 'quotient_action_image': '1.1', 'quotient_action_kernel': '80.48', 'quotient_action_kernel_order': 80, 'quotient_fusion': None, 'short_label': '80.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 111031913
{'ambient': '800.942', 'aut_centralizer_order': 640, 'aut_label': '80.c1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.1', 'aut_weyl_index': 15360, 'centralizer': '2.b1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['16.c1', '40.b1', '40.f1'], 'contains': ['160.a1', '400.c1'], 'core': '160.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [2503, -1, 4551, -1], 'generators': [1, 160], 'label': '800.942.80.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '80.c1', 'projective_image': '160.184', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 111031914
{'ambient': '800.942', 'aut_centralizer_order': 640, 'aut_label': '80.d1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.1', 'aut_weyl_index': 15360, 'centralizer': '4.b1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['16.d1', '40.c1', '40.g1'], 'contains': ['160.a1', '400.d1'], 'core': '160.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [984, -1, 3561, -1], 'generators': [611, 160], 'label': '800.942.80.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1', 'old_label': '80.d1', 'projective_image': '160.184', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 111031915
{'ambient': '800.942', 'aut_centralizer_order': 7680, 'aut_label': '100.a1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '8.3', 'aut_weyl_index': 7680, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['20.a1', '50.a1', '50.b1', '50.c1'], 'contains': ['200.a1', '200.b1', '200.f1'], 'core': '100.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6486, 3991, 7747, 8811], 'generators': [1, 20, 400], 'label': '800.942.100.a1', 'mobius_quo': 0, 'mobius_sub': 10, 'normal_closure': '100.a1', 'normal_contained_in': ['20.a1', '50.a1', '50.b1', '50.c1'], 'normal_contains': ['200.a1', '200.b1'], 'normalizer': '1.a1', 'old_label': '100.a1', 'projective_image': '200.52', 'quotient_action_image': '2.1', 'quotient_action_kernel': '50.5', 'quotient_action_kernel_order': 50, 'quotient_fusion': None, 'short_label': '100.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 111031916
{'ambient': '800.942', 'aut_centralizer_order': 7680, 'aut_label': '100.b1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '8.3', 'aut_weyl_index': 7680, 'centralizer': '4.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['20.b1', '50.a1', '50.d1'], 'contains': ['200.a1', '200.c1', '200.g1'], 'core': '100.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4003, 5392, 6965, 6548], 'generators': [611, 20, 400], 'label': '800.942.100.b1', 'mobius_quo': 0, 'mobius_sub': 10, 'normal_closure': '100.b1', 'normal_contained_in': ['20.b1', '50.a1', '50.d1'], 'normal_contains': ['200.a1'], 'normalizer': '1.a1', 'old_label': '100.b1', 'projective_image': '200.52', 'quotient_action_image': '4.2', 'quotient_action_kernel': '25.2', 'quotient_action_kernel_order': 25, 'quotient_fusion': None, 'short_label': '100.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 111031917
{'ambient': '800.942', 'aut_centralizer_order': 4, 'aut_label': '2.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '7680.l', 'aut_weyl_index': 8, 'centralizer': '8.a1', 'complements': ['400.d1', '400.c1'], 'conjugacy_class_count': 2, 'contained_in': ['1.a1'], 'contains': ['4.c1', '4.d1', '4.e1', '10.e1'], 'core': '2.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [6820, 5527, 5717, 3043], 'generators': [11, 400, 8, 160, 610, 20], 'label': '800.942.2.e1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.e1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.c1', '4.d1', '4.e1', '10.e1'], 'normalizer': '1.a1', 'old_label': '2.e1', 'projective_image': '8.5', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.e1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
-
id: 111031918
{'ambient': '800.942', 'aut_centralizer_order': 7680, 'aut_label': '100.c1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 15360, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['20.c1', '50.b1', '50.d1', '50.e1'], 'contains': ['200.a1', '200.d1'], 'core': '100.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [8665, 6663, 8626, 8308], 'generators': [11, 400], 'label': '800.942.100.c1', 'mobius_quo': 0, 'mobius_sub': 10, 'normal_closure': '100.c1', 'normal_contained_in': ['20.c1', '50.b1', '50.d1', '50.e1'], 'normal_contains': ['200.a1'], 'normalizer': '1.a1', 'old_label': '100.c1', 'projective_image': '200.52', 'quotient_action_image': '2.1', 'quotient_action_kernel': '50.5', 'quotient_action_kernel_order': 50, 'quotient_fusion': None, 'short_label': '100.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 111031919
{'ambient': '800.942', 'aut_centralizer_order': 7680, 'aut_label': '100.d1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 15360, 'centralizer': '4.d1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['20.d1', '50.c1', '50.d1', '50.e1'], 'contains': ['200.a1', '200.h1'], 'core': '100.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [5600, 8372, 9114, 7680], 'generators': [201, 400], 'label': '800.942.100.d1', 'mobius_quo': 0, 'mobius_sub': 10, 'normal_closure': '100.d1', 'normal_contained_in': ['20.d1', '50.c1', '50.d1', '50.e1'], 'normal_contains': ['200.a1'], 'normalizer': '1.a1', 'old_label': '100.d1', 'projective_image': '200.52', 'quotient_action_image': '4.2', 'quotient_action_kernel': '25.2', 'quotient_action_kernel_order': 25, 'quotient_fusion': None, 'short_label': '100.d1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 111031920
{'ambient': '800.942', 'aut_centralizer_order': 7680, 'aut_label': '100.e1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '8.3', 'aut_weyl_index': 7680, 'centralizer': '4.e1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['20.e1', '50.a1', '50.e1'], 'contains': ['200.a1', '200.e1'], 'core': '100.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [7811, 4692, 8138, 7051], 'generators': [610, 400], 'label': '800.942.100.e1', 'mobius_quo': 0, 'mobius_sub': 10, 'normal_closure': '100.e1', 'normal_contained_in': ['20.e1', '50.a1', '50.e1'], 'normal_contains': ['200.a1'], 'normalizer': '1.a1', 'old_label': '100.e1', 'projective_image': '200.52', 'quotient_action_image': '4.2', 'quotient_action_kernel': '25.2', 'quotient_action_kernel_order': 25, 'quotient_fusion': None, 'short_label': '100.e1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 111031921
{'ambient': '800.942', 'aut_centralizer_order': 3840, 'aut_label': '100.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '4.2', 'aut_weyl_index': 15360, 'centralizer': '8.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['20.f1', '50.a1'], 'contains': ['200.b1', '200.c1', '200.e1'], 'core': '200.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [7295, -1, 6689, -1], 'generators': [1, 610], 'label': '800.942.100.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '50.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '100.f1', 'projective_image': '400.202', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.f1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 111031922
{'ambient': '800.942', 'aut_centralizer_order': 1920, 'aut_label': '100.g1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.3', 'aut_weyl_index': 7680, 'centralizer': '2.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['20.g1', '50.b1'], 'contains': ['200.b1', '200.d1'], 'core': '200.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [9514, -1, 7356, -1], 'generators': [1, 10], 'label': '800.942.100.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '50.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '100.g1', 'projective_image': '400.202', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 111031923
{'ambient': '800.942', 'aut_centralizer_order': 2560, 'aut_label': '160.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '4.1', 'aut_weyl_index': 15360, 'centralizer': '1.a1', 'complements': ['5.a1'], 'conjugacy_class_count': 6, 'contained_in': ['32.a1', '80.a1', '80.b1', '80.c1', '80.d1'], 'contains': ['800.a1'], 'core': '160.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [1019, 1339, 4709, 5431], 'generators': [160], 'label': '800.942.160.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '160.a1', 'normal_contained_in': ['32.a1', '80.a1', '80.b1'], 'normal_contains': ['800.a1'], 'normalizer': '1.a1', 'old_label': '160.a1', 'projective_image': '160.184', 'quotient_action_image': '1.1', 'quotient_action_kernel': '160.184', 'quotient_action_kernel_order': 160, 'quotient_fusion': None, 'short_label': '160.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 111031924
{'ambient': '800.942', 'aut_centralizer_order': 30720, 'aut_label': '200.a1', 'aut_quo_index': 84, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 30720, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['40.a1', '100.a1', '100.b1', '100.c1', '100.d1', '100.e1'], 'contains': ['400.a1', '400.b1'], 'core': '200.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4718, 4345, 7403, 6548], 'generators': [20, 400], 'label': '800.942.200.a1', 'mobius_quo': 2, 'mobius_sub': -40, 'normal_closure': '200.a1', 'normal_contained_in': ['40.a1', '100.a1', '100.b1', '100.c1', '100.d1', '100.e1'], 'normal_contains': ['400.a1', '400.b1'], 'normalizer': '1.a1', 'old_label': '200.a1', 'projective_image': '200.52', 'quotient_action_image': '1.1', 'quotient_action_kernel': '200.52', 'quotient_action_kernel_order': 200, 'quotient_fusion': None, 'short_label': '200.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 111031925
{'ambient': '800.942', 'aut_centralizer_order': 15360, 'aut_label': '200.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 30720, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['40.b1', '100.a1', '100.f1', '100.g1'], 'contains': ['400.a1', '400.c1'], 'core': '200.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [5857, 2149, 6298, 6927], 'generators': [1, 20], 'label': '800.942.200.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '200.b1', 'normal_contained_in': ['40.b1', '100.a1'], 'normal_contains': ['400.a1'], 'normalizer': '1.a1', 'old_label': '200.b1', 'projective_image': '400.202', 'quotient_action_image': '2.1', 'quotient_action_kernel': '100.16', 'quotient_action_kernel_order': 100, 'quotient_fusion': None, 'short_label': '200.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 111031926
{'ambient': '800.942', 'aut_centralizer_order': 15360, 'aut_label': '200.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 30720, 'centralizer': '4.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['40.c1', '100.b1', '100.f1'], 'contains': ['400.a1', '400.d1'], 'core': '400.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3858, -1, 5709, -1], 'generators': [611, 20], 'label': '800.942.200.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '100.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '200.c1', 'projective_image': '400.202', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 111031927
{'ambient': '800.942', 'aut_centralizer_order': 7680, 'aut_label': '200.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 30720, 'centralizer': '2.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['40.d1', '100.c1', '100.g1'], 'contains': ['400.a1'], 'core': '400.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [8918, -1, 7126, -1], 'generators': [11], 'label': '800.942.200.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '100.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '200.d1', 'projective_image': '400.202', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 111031928
{'ambient': '800.942', 'aut_centralizer_order': 16, 'aut_label': '4.a1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '3840.g', 'aut_weyl_index': 16, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '2.b1', '2.c1'], 'contains': ['8.a1', '8.b1', '8.f1', '20.a1'], 'core': '4.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4840, 1249, 2900, 3865], 'generators': [1, 400, 8, 20, 160], 'label': '800.942.4.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1', 'normal_contained_in': ['2.a1', '2.b1', '2.c1'], 'normal_contains': ['8.a1', '8.b1', '20.a1'], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': '8.5', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 111031929
{'ambient': '800.942', 'aut_centralizer_order': 15360, 'aut_label': '200.e1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 30720, 'centralizer': '4.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['40.e1', '100.e1', '100.f1'], 'contains': ['400.a1'], 'core': '400.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7553, -1, 6868, -1], 'generators': [610], 'label': '800.942.200.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '100.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '200.e1', 'projective_image': '400.202', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 111031930
{'ambient': '800.942', 'aut_centralizer_order': 7680, 'aut_label': '200.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 30720, 'centralizer': '2.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['40.f1', '100.a1'], 'contains': ['400.b1', '400.c1'], 'core': '400.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [2824, -1, 6592, -1], 'generators': [1, 420], 'label': '800.942.200.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '100.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '200.f1', 'projective_image': '400.204', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 111031933
{'ambient': '800.942', 'aut_centralizer_order': 61440, 'aut_label': '400.a1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 61440, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['80.a1', '200.a1', '200.b1', '200.c1', '200.d1', '200.e1'], 'contains': ['800.a1'], 'core': '400.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4718, 2110, 6305, 6433], 'generators': [20], 'label': '800.942.400.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '400.a1', 'normal_contained_in': ['80.a1', '200.a1', '200.b1'], 'normal_contains': ['800.a1'], 'normalizer': '1.a1', 'old_label': '400.a1', 'projective_image': '400.202', 'quotient_action_image': '1.1', 'quotient_action_kernel': '400.202', 'quotient_action_kernel_order': 400, 'quotient_fusion': None, 'short_label': '400.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 111031934
{'ambient': '800.942', 'aut_centralizer_order': 30720, 'aut_label': '400.b1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 61440, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['80.b1', '200.a1', '200.f1', '200.g1', '200.h1'], 'contains': ['800.a1'], 'core': '400.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [2362, 2572, 6581, 5989], 'generators': [420], 'label': '800.942.400.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '400.b1', 'normal_contained_in': ['80.b1', '200.a1'], 'normal_contains': ['800.a1'], 'normalizer': '1.a1', 'old_label': '400.b1', 'projective_image': '400.204', 'quotient_action_image': '1.1', 'quotient_action_kernel': '400.204', 'quotient_action_kernel_order': 400, 'quotient_fusion': None, 'short_label': '400.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 111031935
{'ambient': '800.942', 'aut_centralizer_order': 15360, 'aut_label': '400.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1.1', 'aut_weyl_index': 61440, 'centralizer': '2.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.c1', '200.b1', '200.f1'], 'contains': ['800.a1'], 'core': '800.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [2977, -1, 6047, -1], 'generators': [1], 'label': '800.942.400.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '200.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '400.c1', 'projective_image': '800.942', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 111031936
{'ambient': '800.942', 'aut_centralizer_order': 15360, 'aut_label': '400.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1.1', 'aut_weyl_index': 61440, 'centralizer': '4.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['80.d1', '200.c1', '200.g1'], 'contains': ['800.a1'], 'core': '800.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1807, -1, 5753, -1], 'generators': [611], 'label': '800.942.400.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '100.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1', 'old_label': '400.d1', 'projective_image': '800.942', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 111031937
{'ambient': '800.942', 'aut_centralizer_order': None, 'aut_label': '800.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['160.a1', '400.a1', '400.b1', '400.c1', '400.d1'], 'contains': [], 'core': '800.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2362, 2110, 6047, 5989], 'generators': [], 'label': '800.942.800.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '800.a1', 'normal_contained_in': ['160.a1', '400.a1', '400.b1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '800.a1', 'projective_image': '800.942', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 111031938
{'ambient': '800.942', 'aut_centralizer_order': 16, 'aut_label': '4.b1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '3840.g', 'aut_weyl_index': 16, 'centralizer': '4.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '2.d1'], 'contains': ['8.a1', '8.c1', '8.g1', '20.b1'], 'core': '4.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2977, 3896, 1559, 383], 'generators': [611, 400, 8, 20, 160], 'label': '800.942.4.b1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.b1', 'normal_contained_in': ['2.a1', '2.d1'], 'normal_contains': ['8.a1', '20.b1'], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': '8.5', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 111031939
{'ambient': '800.942', 'aut_centralizer_order': 16, 'aut_label': '4.c1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '1920.240757', 'aut_weyl_index': 32, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.b1', '2.d1', '2.e1'], 'contains': ['8.a1', '8.d1', '20.c1'], 'core': '4.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [7602, 5097, 4253, 3002], 'generators': [11, 8, 160, 400, 20], 'label': '800.942.4.c1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.c1', 'normal_contained_in': ['2.b1', '2.d1', '2.e1'], 'normal_contains': ['8.a1', '20.c1'], 'normalizer': '1.a1', 'old_label': '4.c1', 'projective_image': '8.5', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}