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gps_groups • Show schema
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{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '8.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 64, 'aut_gen_orders': [32, 64, 16, 32, 16], 'aut_gens': [[2393417622, 66306, 2800807926], [424364949, 7996298, 1884179867], [2851731722, 14105959, 3581639285], [305542873, 8880635, 1137297965], [3921131101, 5392374, 1612586381], [3140299848, 6121740, 746882203]], 'aut_group': None, 'aut_hash': 2492767394144387211, 'aut_nilpotency_class': 6, 'aut_nilpotent': True, 'aut_order': 8192, 'aut_permdeg': 192, 'aut_perms': [9565931085980050003930751220769769788991492155925357384230069236743564001902726301101842455639808277110376253169561242703813263582964432736556860161548564502138189607379658599356701397680965480212510869356494229893853865720398464467226437320097215360861810674704932964035008126646292090712608374567075479677094194516635445497452245576347840896628738169326, 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'aut_tex': 'C_{32}.C_{32}.C_2^3', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '8.5', 'autcent_hash': 5, 'autcent_nilpotent': True, 'autcent_order': 8, 'autcent_solvable': True, 'autcent_split': False, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^3', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 32, 'autcentquo_group': '1024.dng', 'autcentquo_hash': 7288729358377021530, 'autcentquo_nilpotent': True, 'autcentquo_order': 1024, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'D_{32}:C_{16}', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 2, 1], [2, 64, 1], [4, 1, 2], [4, 2, 1], [4, 64, 1], [8, 2, 4], [8, 64, 2], [16, 2, 8], [32, 2, 16], [64, 2, 32], [128, 2, 64]], 'center_label': '4.1', 'center_order': 4, 'central_product': False, 'central_quotient': '128.161', 'commutator_count': 1, 'commutator_label': '64.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1'], 'composition_length': 9, 'conjugacy_classes_known': True, 'counter': 2030, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 1], [2, 64, 1, 1], [4, 1, 2, 1], [4, 2, 1, 1], [4, 64, 1, 1], [8, 2, 2, 2], [8, 64, 2, 1], [16, 2, 4, 2], [32, 2, 8, 2], [64, 2, 16, 2], [128, 2, 64, 1]], 'element_repr_type': 'GLFp', 'elementary': 2, 'eulerian_function': 12, 'exponent': 128, 'exponents_of_order': [9], 'factors_of_aut_order': [2], 'factors_of_order': [2], 'faithful_reps': [[2, 0, 64]], 'familial': False, 'frattini_label': '128.159', 'frattini_quotient': '4.2', 'hash': 2030, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 64, 'inner_gen_orders': [64, 2, 32], 'inner_gens': [[2393417622, 774598, 2800807926], [152771478, 66306, 1374942198], [2393417622, 9044344, 2800807926]], 'inner_hash': 161, 'inner_nilpotent': True, 'inner_order': 128, 'inner_split': True, 'inner_tex': 'D_{64}', 'inner_used': [1, 2], 'irrC_degree': 2, 'irrQ_degree': 128, 'irrQ_dim': 128, 'irrR_degree': 4, 'irrep_stats': [[1, 8], [2, 126]], 'label': '512.2030', 'linC_count': 64, 'linC_degree': 2, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 128, 'linQ_degree_count': 1, 'linQ_dim': 128, 'linQ_dim_count': 1, 'linR_count': 32, 'linR_degree': 4, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C4.D64', 'ngens': 3, 'nilpotency_class': 7, 'nilpotent': True, 'normal_counts': [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': 17, 'number_characteristic_subgroups': 24, 'number_conjugacy_classes': 134, 'number_divisions': 17, 'number_normal_subgroups': 24, 'number_subgroup_autclasses': 52, 'number_subgroup_classes': 52, 'number_subgroups': 402, 'old_label': None, 'order': 512, 'order_factorization_type': 7, 'order_stats': [[1, 1], [2, 67], [4, 68], [8, 136], [16, 16], [32, 32], [64, 64], [128, 128]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 32, 'outer_gen_orders': [2, 32], 'outer_gen_pows': [16974594, 16974594], 'outer_gens': [[1918129066, 66306, 1374942198], [1680484860, 66306, 3768359668]], 'outer_group': '64.50', 'outer_hash': 50, 'outer_nilpotent': True, 'outer_order': 64, 'outer_permdeg': 34, 'outer_perms': [8733195386347916492686205438183496727, 18057407453525122657601154939677063], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2\\times C_{32}', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 256, 'pgroup': 2, 'primary_abelian_invariants': [2, 4], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 4], [4, 2], [8, 2], [16, 2], [32, 2], [128, 1]], 'representations': {'PC': {'code': '5857491739274919144358567044240260204695694393215', 'gens': [1, 2, 9], 'pres': [9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2880, 8029, 46, 3350, 74, 8931, 102, 10804, 130, 12101, 158, 12102, 186, 31112]}, 'GLFp': {'d': 2, 'p': 257, 'gens': [2393417622, 66306, 2800807926]}, 'Perm': {'d': 256, 'gens': [437325565905679490515590687760917404461615025822881292046838057226822410954686958569063931793525508775768262459554798375944724435497838055369122386150489860245330106887501162754274359931867216675660755561598184897005426180113617504022869862683349598731244190091172586216539178616307677563311278671438580660246461923959159906792327570180909683712329100538510808088283357019885813654371811876502763982791353354077325108588575216738431270111368878174832256989954703735264714424320000000000000000000000000000000, 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gps_conj_classes • Show schema
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id: 110530689
{'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 2030, 'group_order': 512, 'label': '1A', 'order': 1, 'powers': [1], 'representative': 16974594, 'size': 1}
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id: 110530735
{'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 2030, 'group_order': 512, 'label': '2A', 'order': 2, 'powers': [1], 'representative': 4345496064, 'size': 1}
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id: 110530746
{'aut_label': '2B', 'centralizer': '2.c1.a1', 'counter': 3, 'group_counter': 2030, 'group_order': 512, 'label': '2B', 'order': 2, 'powers': [1], 'representative': 4345495809, 'size': 2}
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id: 110530757
{'aut_label': '2C', 'centralizer': '64.e1.a1', 'counter': 4, 'group_counter': 2030, 'group_order': 512, 'label': '2C', 'order': 2, 'powers': [1], 'representative': 16019067, 'size': 64}
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id: 110530768
{'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 5, 'group_counter': 2030, 'group_order': 512, 'label': '4A1', 'order': 4, 'powers': [2], 'representative': 271593504, 'size': 1}
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id: 110530779
{'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 6, 'group_counter': 2030, 'group_order': 512, 'label': '4A-1', 'order': 4, 'powers': [2], 'representative': 4090877154, 'size': 1}
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id: 110530790
{'aut_label': '4B', 'centralizer': '2.c1.a1', 'counter': 7, 'group_counter': 2030, 'group_order': 512, 'label': '4B', 'order': 4, 'powers': [2], 'representative': 4090876929, 'size': 2}
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id: 110530801
{'aut_label': '4C', 'centralizer': '64.e1.a1', 'counter': 8, 'group_counter': 2030, 'group_order': 512, 'label': '4C', 'order': 4, 'powers': [2], 'representative': 1060896, 'size': 64}
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id: 110530812
{'aut_label': '8A1', 'centralizer': '2.c1.a1', 'counter': 9, 'group_counter': 2030, 'group_order': 512, 'label': '8A1', 'order': 8, 'powers': [7], 'representative': 1086373956, 'size': 2}
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id: 110530690
{'aut_label': '8A1', 'centralizer': '2.c1.a1', 'counter': 10, 'group_counter': 2030, 'group_order': 512, 'label': '8A-1', 'order': 8, 'powers': [7], 'representative': 4294572222, 'size': 2}
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id: 110530701
{'aut_label': '8B1', 'centralizer': '2.c1.a1', 'counter': 11, 'group_counter': 2030, 'group_order': 512, 'label': '8B1', 'order': 8, 'powers': [7], 'representative': 3276096453, 'size': 2}
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id: 110530712
{'aut_label': '8B1', 'centralizer': '2.c1.a1', 'counter': 12, 'group_counter': 2030, 'group_order': 512, 'label': '8B3', 'order': 8, 'powers': [7], 'representative': 4294572093, 'size': 2}
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id: 110530723
{'aut_label': '8C1', 'centralizer': '64.g1.a1', 'counter': 13, 'group_counter': 2030, 'group_order': 512, 'label': '8C1', 'order': 8, 'powers': [5], 'representative': 2073219, 'size': 64}
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id: 110530729
{'aut_label': '8C1', 'centralizer': '64.g1.a1', 'counter': 14, 'group_counter': 2030, 'group_order': 512, 'label': '8C-1', 'order': 8, 'powers': [6], 'representative': 1240025, 'size': 64}
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id: 110530730
{'aut_label': '16A1', 'centralizer': '2.c1.a1', 'counter': 15, 'group_counter': 2030, 'group_order': 512, 'label': '16A1', 'order': 16, 'powers': [11], 'representative': 2172747906, 'size': 2}
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id: 110530731
{'aut_label': '16A1', 'centralizer': '2.c1.a1', 'counter': 16, 'group_counter': 2030, 'group_order': 512, 'label': '16A-1', 'order': 16, 'powers': [11], 'representative': 4328521344, 'size': 2}
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id: 110530732
{'aut_label': '16A1', 'centralizer': '2.c1.a1', 'counter': 17, 'group_counter': 2030, 'group_order': 512, 'label': '16A3', 'order': 16, 'powers': [12], 'representative': 543186984, 'size': 2}
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id: 110530733
{'aut_label': '16A1', 'centralizer': '2.c1.a1', 'counter': 18, 'group_counter': 2030, 'group_order': 512, 'label': '16A-3', 'order': 16, 'powers': [12], 'representative': 4226673882, 'size': 2}
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id: 110530734
{'aut_label': '16B1', 'centralizer': '2.c1.a1', 'counter': 19, 'group_counter': 2030, 'group_order': 512, 'label': '16B1', 'order': 16, 'powers': [12], 'representative': 135796969, 'size': 2}
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id: 110530736
{'aut_label': '16B1', 'centralizer': '2.c1.a1', 'counter': 20, 'group_counter': 2030, 'group_order': 512, 'label': '16B3', 'order': 16, 'powers': [11], 'representative': 4328521343, 'size': 2}
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id: 110530737
{'aut_label': '16B1', 'centralizer': '2.c1.a1', 'counter': 21, 'group_counter': 2030, 'group_order': 512, 'label': '16B5', 'order': 16, 'powers': [11], 'representative': 2189722499, 'size': 2}
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id: 110530738
{'aut_label': '16B1', 'centralizer': '2.c1.a1', 'counter': 22, 'group_counter': 2030, 'group_order': 512, 'label': '16B7', 'order': 16, 'powers': [12], 'representative': 543187225, 'size': 2}
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id: 110530739
{'aut_label': '32A1', 'centralizer': '2.c1.a1', 'counter': 23, 'group_counter': 2030, 'group_order': 512, 'label': '32A1', 'order': 32, 'powers': [19], 'representative': 2325519256, 'size': 2}
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id: 110530740
{'aut_label': '32A1', 'centralizer': '2.c1.a1', 'counter': 24, 'group_counter': 2030, 'group_order': 512, 'label': '32A-1', 'order': 32, 'powers': [19], 'representative': 4107851626, 'size': 2}
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id: 110530741
{'aut_label': '32A1', 'centralizer': '2.c1.a1', 'counter': 25, 'group_counter': 2030, 'group_order': 512, 'label': '32A3', 'order': 32, 'powers': [20], 'representative': 1154272358, 'size': 2}
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id: 110530742
{'aut_label': '32A1', 'centralizer': '2.c1.a1', 'counter': 26, 'group_counter': 2030, 'group_order': 512, 'label': '32A-3', 'order': 32, 'powers': [20], 'representative': 3785334428, 'size': 2}
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id: 110530743
{'aut_label': '32A1', 'centralizer': '2.c1.a1', 'counter': 27, 'group_counter': 2030, 'group_order': 512, 'label': '32A5', 'order': 32, 'powers': [21], 'representative': 3343994851, 'size': 2}
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id: 110530744
{'aut_label': '32A1', 'centralizer': '2.c1.a1', 'counter': 28, 'group_counter': 2030, 'group_order': 512, 'label': '32A-5', 'order': 32, 'powers': [21], 'representative': 3853232671, 'size': 2}
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id: 110530745
{'aut_label': '32A1', 'centralizer': '2.c1.a1', 'counter': 29, 'group_counter': 2030, 'group_order': 512, 'label': '32A7', 'order': 32, 'powers': [22], 'representative': 4073902441, 'size': 2}
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id: 110530747
{'aut_label': '32A1', 'centralizer': '2.c1.a1', 'counter': 30, 'group_counter': 2030, 'group_order': 512, 'label': '32A-7', 'order': 32, 'powers': [22], 'representative': 2308544665, 'size': 2}
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id: 110530748
{'aut_label': '32B1', 'centralizer': '2.c1.a1', 'counter': 31, 'group_counter': 2030, 'group_order': 512, 'label': '32B1', 'order': 32, 'powers': [22], 'representative': 288568202, 'size': 2}
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id: 110530749
{'aut_label': '32B1', 'centralizer': '2.c1.a1', 'counter': 32, 'group_counter': 2030, 'group_order': 512, 'label': '32B3', 'order': 32, 'powers': [21], 'representative': 509237850, 'size': 2}
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id: 110530750
{'aut_label': '32B1', 'centralizer': '2.c1.a1', 'counter': 33, 'group_counter': 2030, 'group_order': 512, 'label': '32B5', 'order': 32, 'powers': [20], 'representative': 3208198111, 'size': 2}
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id: 110530751
{'aut_label': '32B1', 'centralizer': '2.c1.a1', 'counter': 34, 'group_counter': 2030, 'group_order': 512, 'label': '32B7', 'order': 32, 'powers': [19], 'representative': 2325519483, 'size': 2}
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id: 110530752
{'aut_label': '32B1', 'centralizer': '2.c1.a1', 'counter': 35, 'group_counter': 2030, 'group_order': 512, 'label': '32B9', 'order': 32, 'powers': [19], 'representative': 254619015, 'size': 2}
-
id: 110530753
{'aut_label': '32B1', 'centralizer': '2.c1.a1', 'counter': 36, 'group_counter': 2030, 'group_order': 512, 'label': '32B11', 'order': 32, 'powers': [20], 'representative': 3785334307, 'size': 2}
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id: 110530754
{'aut_label': '32B1', 'centralizer': '2.c1.a1', 'counter': 37, 'group_counter': 2030, 'group_order': 512, 'label': '32B13', 'order': 32, 'powers': [21], 'representative': 3343995048, 'size': 2}
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id: 110530755
{'aut_label': '32B1', 'centralizer': '2.c1.a1', 'counter': 38, 'group_counter': 2030, 'group_order': 512, 'label': '32B15', 'order': 32, 'powers': [22], 'representative': 2308544888, 'size': 2}
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id: 110530756
{'aut_label': '64A1', 'centralizer': '2.c1.a1', 'counter': 39, 'group_counter': 2030, 'group_order': 512, 'label': '64A1', 'order': 64, 'powers': [31], 'representative': 3174248902, 'size': 2}
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id: 110530758
{'aut_label': '64A1', 'centralizer': '2.c1.a1', 'counter': 40, 'group_counter': 2030, 'group_order': 512, 'label': '64A3', 'order': 64, 'powers': [32], 'representative': 1612586381, 'size': 2}
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id: 110530759
{'aut_label': '64A1', 'centralizer': '2.c1.a1', 'counter': 41, 'group_counter': 2030, 'group_order': 512, 'label': '64A5', 'order': 64, 'powers': [33], 'representative': 2868706290, 'size': 2}
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id: 110530760
{'aut_label': '64A1', 'centralizer': '2.c1.a1', 'counter': 42, 'group_counter': 2030, 'group_order': 512, 'label': '64A7', 'order': 64, 'powers': [34], 'representative': 3615588455, 'size': 2}
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id: 110530761
{'aut_label': '64A1', 'centralizer': '2.c1.a1', 'counter': 43, 'group_counter': 2030, 'group_order': 512, 'label': '64A9', 'order': 64, 'powers': [35], 'representative': 3225172693, 'size': 2}
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id: 110530762
{'aut_label': '64A1', 'centralizer': '2.c1.a1', 'counter': 44, 'group_counter': 2030, 'group_order': 512, 'label': '64A11', 'order': 64, 'powers': [36], 'representative': 2274595579, 'size': 2}
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id: 110530763
{'aut_label': '64A1', 'centralizer': '2.c1.a1', 'counter': 45, 'group_counter': 2030, 'group_order': 512, 'label': '64A13', 'order': 64, 'powers': [37], 'representative': 3768359668, 'size': 2}
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id: 110530764
{'aut_label': '64A1', 'centralizer': '2.c1.a1', 'counter': 46, 'group_counter': 2030, 'group_order': 512, 'label': '64A15', 'order': 64, 'powers': [38], 'representative': 2987528460, 'size': 2}
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id: 110530765
{'aut_label': '64A1', 'centralizer': '2.c1.a1', 'counter': 47, 'group_counter': 2030, 'group_order': 512, 'label': '64A17', 'order': 64, 'powers': [38], 'representative': 2800807926, 'size': 2}
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id: 110530766
{'aut_label': '64A1', 'centralizer': '2.c1.a1', 'counter': 48, 'group_counter': 2030, 'group_order': 512, 'label': '64A19', 'order': 64, 'powers': [37], 'representative': 3989029390, 'size': 2}
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id: 110530767
{'aut_label': '64A1', 'centralizer': '2.c1.a1', 'counter': 49, 'group_counter': 2030, 'group_order': 512, 'label': '64A21', 'order': 64, 'powers': [36], 'representative': 2376443143, 'size': 2}
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id: 110530769
{'aut_label': '64A1', 'centralizer': '2.c1.a1', 'counter': 50, 'group_counter': 2030, 'group_order': 512, 'label': '64A23', 'order': 64, 'powers': [35], 'representative': 3972054829, 'size': 2}
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id: 110530770
{'aut_label': '64A1', 'centralizer': '2.c1.a1', 'counter': 51, 'group_counter': 2030, 'group_order': 512, 'label': '64A25', 'order': 64, 'powers': [34], 'representative': 1884179867, 'size': 2}
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id: 110530771
{'aut_label': '64A1', 'centralizer': '2.c1.a1', 'counter': 52, 'group_counter': 2030, 'group_order': 512, 'label': '64A27', 'order': 64, 'powers': [33], 'representative': 3123325200, 'size': 2}
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id: 110530772
{'aut_label': '64A1', 'centralizer': '2.c1.a1', 'counter': 53, 'group_counter': 2030, 'group_order': 512, 'label': '64A29', 'order': 64, 'powers': [32], 'representative': 3581639285, 'size': 2}
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id: 110530773
{'aut_label': '64A1', 'centralizer': '2.c1.a1', 'counter': 54, 'group_counter': 2030, 'group_order': 512, 'label': '64A31', 'order': 64, 'powers': [31], 'representative': 4175749948, 'size': 2}
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id: 110530774
{'aut_label': '64B1', 'centralizer': '2.c1.a1', 'counter': 55, 'group_counter': 2030, 'group_order': 512, 'label': '64B1', 'order': 64, 'powers': [38], 'representative': 1561662637, 'size': 2}
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id: 110530775
{'aut_label': '64B1', 'centralizer': '2.c1.a1', 'counter': 56, 'group_counter': 2030, 'group_order': 512, 'label': '64B-1', 'order': 64, 'powers': [38], 'representative': 2987528533, 'size': 2}
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id: 110530776
{'aut_label': '64B1', 'centralizer': '2.c1.a1', 'counter': 57, 'group_counter': 2030, 'group_order': 512, 'label': '64B3', 'order': 64, 'powers': [37], 'representative': 3989029577, 'size': 2}
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id: 110530777
{'aut_label': '64B1', 'centralizer': '2.c1.a1', 'counter': 58, 'group_counter': 2030, 'group_order': 512, 'label': '64B-3', 'order': 64, 'powers': [37], 'representative': 594110777, 'size': 2}
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id: 110530778
{'aut_label': '64B1', 'centralizer': '2.c1.a1', 'counter': 59, 'group_counter': 2030, 'group_order': 512, 'label': '64B5', 'order': 64, 'powers': [36], 'representative': 1986027504, 'size': 2}
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id: 110530780
{'aut_label': '64B1', 'centralizer': '2.c1.a1', 'counter': 60, 'group_counter': 2030, 'group_order': 512, 'label': '64B-5', 'order': 64, 'powers': [36], 'representative': 2274595602, 'size': 2}
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id: 110530781
{'aut_label': '64B1', 'centralizer': '2.c1.a1', 'counter': 61, 'group_counter': 2030, 'group_order': 512, 'label': '64B7', 'order': 64, 'powers': [35], 'representative': 1137297754, 'size': 2}
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id: 110530782
{'aut_label': '64B1', 'centralizer': '2.c1.a1', 'counter': 62, 'group_counter': 2030, 'group_order': 512, 'label': '64B-7', 'order': 64, 'powers': [35], 'representative': 3972054952, 'size': 2}
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id: 110530783
{'aut_label': '64B1', 'centralizer': '2.c1.a1', 'counter': 63, 'group_counter': 2030, 'group_order': 512, 'label': '64B9', 'order': 64, 'powers': [34], 'representative': 2478290622, 'size': 2}
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id: 110530784
{'aut_label': '64B1', 'centralizer': '2.c1.a1', 'counter': 64, 'group_counter': 2030, 'group_order': 512, 'label': '64B-9', 'order': 64, 'powers': [34], 'representative': 3615588420, 'size': 2}
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id: 110530785
{'aut_label': '64B1', 'centralizer': '2.c1.a1', 'counter': 65, 'group_counter': 2030, 'group_order': 512, 'label': '64B11', 'order': 64, 'powers': [33], 'representative': 1493764257, 'size': 2}
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id: 110530786
{'aut_label': '64B1', 'centralizer': '2.c1.a1', 'counter': 66, 'group_counter': 2030, 'group_order': 512, 'label': '64B-11', 'order': 64, 'powers': [33], 'representative': 3123325281, 'size': 2}
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id: 110530787
{'aut_label': '64B1', 'centralizer': '2.c1.a1', 'counter': 67, 'group_counter': 2030, 'group_order': 512, 'label': '64B13', 'order': 64, 'powers': [32], 'representative': 780831440, 'size': 2}
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id: 110530788
{'aut_label': '64B1', 'centralizer': '2.c1.a1', 'counter': 68, 'group_counter': 2030, 'group_order': 512, 'label': '64B-13', 'order': 64, 'powers': [32], 'representative': 1612586546, 'size': 2}
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id: 110530789
{'aut_label': '64B1', 'centralizer': '2.c1.a1', 'counter': 69, 'group_counter': 2030, 'group_order': 512, 'label': '64B15', 'order': 64, 'powers': [31], 'representative': 4175750065, 'size': 2}
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id: 110530791
{'aut_label': '64B1', 'centralizer': '2.c1.a1', 'counter': 70, 'group_counter': 2030, 'group_order': 512, 'label': '64B-15', 'order': 64, 'powers': [31], 'representative': 1188221521, 'size': 2}
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id: 110530792
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 71, 'group_counter': 2030, 'group_order': 512, 'label': '128A1', 'order': 128, 'powers': [55], 'representative': 1969052797, 'size': 2}
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id: 110530793
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 72, 'group_counter': 2030, 'group_order': 512, 'label': '128A-1', 'order': 128, 'powers': [56], 'representative': 3394918713, 'size': 2}
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id: 110530794
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 73, 'group_counter': 2030, 'group_order': 512, 'label': '128A3', 'order': 128, 'powers': [57], 'representative': 3649537630, 'size': 2}
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id: 110530795
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 74, 'group_counter': 2030, 'group_order': 512, 'label': '128A-3', 'order': 128, 'powers': [58], 'representative': 1765357771, 'size': 2}
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id: 110530796
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 75, 'group_counter': 2030, 'group_order': 512, 'label': '128A5', 'order': 128, 'powers': [59], 'representative': 3327020312, 'size': 2}
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id: 110530797
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 76, 'group_counter': 2030, 'group_order': 512, 'label': '128A-5', 'order': 128, 'powers': [60], 'representative': 3479791763, 'size': 2}
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id: 110530798
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 77, 'group_counter': 2030, 'group_order': 512, 'label': '128A7', 'order': 128, 'powers': [61], 'representative': 3377944025, 'size': 2}
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id: 110530799
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 78, 'group_counter': 2030, 'group_order': 512, 'label': '128A-7', 'order': 128, 'powers': [62], 'representative': 1697459331, 'size': 2}
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id: 110530800
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 79, 'group_counter': 2030, 'group_order': 512, 'label': '128A9', 'order': 128, 'powers': [63], 'representative': 3140299819, 'size': 2}
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id: 110530802
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 80, 'group_counter': 2030, 'group_order': 512, 'label': '128A-9', 'order': 128, 'powers': [64], 'representative': 3938105700, 'size': 2}
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id: 110530803
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 81, 'group_counter': 2030, 'group_order': 512, 'label': '128A11', 'order': 128, 'powers': [65], 'representative': 3530715423, 'size': 2}
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id: 110530804
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 82, 'group_counter': 2030, 'group_order': 512, 'label': '128A-11', 'order': 128, 'powers': [66], 'representative': 4141800928, 'size': 2}
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id: 110530805
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 83, 'group_counter': 2030, 'group_order': 512, 'label': '128A13', 'order': 128, 'powers': [67], 'representative': 3921131101, 'size': 2}
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id: 110530806
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 84, 'group_counter': 2030, 'group_order': 512, 'label': '128A-13', 'order': 128, 'powers': [68], 'representative': 2851731783, 'size': 2}
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id: 110530807
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 85, 'group_counter': 2030, 'group_order': 512, 'label': '128A15', 'order': 128, 'powers': [69], 'representative': 3513740813, 'size': 2}
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id: 110530808
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 86, 'group_counter': 2030, 'group_order': 512, 'label': '128A-15', 'order': 128, 'powers': [70], 'representative': 3870207425, 'size': 2}
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id: 110530809
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 87, 'group_counter': 2030, 'group_order': 512, 'label': '128A17', 'order': 128, 'powers': [69], 'representative': 1052424816, 'size': 2}
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id: 110530810
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 88, 'group_counter': 2030, 'group_order': 512, 'label': '128A-17', 'order': 128, 'powers': [70], 'representative': 3870207240, 'size': 2}
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id: 110530811
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 89, 'group_counter': 2030, 'group_order': 512, 'label': '128A19', 'order': 128, 'powers': [67], 'representative': 3921131122, 'size': 2}
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id: 110530813
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 90, 'group_counter': 2030, 'group_order': 512, 'label': '128A-19', 'order': 128, 'powers': [68], 'representative': 2851731722, 'size': 2}
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id: 110530814
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 91, 'group_counter': 2030, 'group_order': 512, 'label': '128A21', 'order': 128, 'powers': [65], 'representative': 3530715522, 'size': 2}
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id: 110530815
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 92, 'group_counter': 2030, 'group_order': 512, 'label': '128A-21', 'order': 128, 'powers': [66], 'representative': 4006003961, 'size': 2}
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id: 110530816
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 93, 'group_counter': 2030, 'group_order': 512, 'label': '128A23', 'order': 128, 'powers': [63], 'representative': 3140299848, 'size': 2}
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id: 110530817
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 94, 'group_counter': 2030, 'group_order': 512, 'label': '128A-23', 'order': 128, 'powers': [64], 'representative': 3938105709, 'size': 2}
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id: 110530818
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 95, 'group_counter': 2030, 'group_order': 512, 'label': '128A25', 'order': 128, 'powers': [61], 'representative': 984526412, 'size': 2}
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id: 110530819
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 96, 'group_counter': 2030, 'group_order': 512, 'label': '128A-25', 'order': 128, 'powers': [62], 'representative': 3836258118, 'size': 2}
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id: 110530820
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 97, 'group_counter': 2030, 'group_order': 512, 'label': '128A27', 'order': 128, 'powers': [59], 'representative': 3327020401, 'size': 2}
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id: 110530821
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 98, 'group_counter': 2030, 'group_order': 512, 'label': '128A-27', 'order': 128, 'powers': [60], 'representative': 3360969466, 'size': 2}
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id: 110530822
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 99, 'group_counter': 2030, 'group_order': 512, 'label': '128A29', 'order': 128, 'powers': [57], 'representative': 2291570097, 'size': 2}
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id: 110530691
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 100, 'group_counter': 2030, 'group_order': 512, 'label': '128A-29', 'order': 128, 'powers': [58], 'representative': 2597112828, 'size': 2}
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id: 110530692
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 101, 'group_counter': 2030, 'group_order': 512, 'label': '128A31', 'order': 128, 'powers': [55], 'representative': 2393417622, 'size': 2}
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id: 110530693
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 102, 'group_counter': 2030, 'group_order': 512, 'label': '128A-31', 'order': 128, 'powers': [56], 'representative': 3394918744, 'size': 2}
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id: 110530694
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 103, 'group_counter': 2030, 'group_order': 512, 'label': '128A33', 'order': 128, 'powers': [56], 'representative': 1918129066, 'size': 2}
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id: 110530695
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 104, 'group_counter': 2030, 'group_order': 512, 'label': '128A-33', 'order': 128, 'powers': [55], 'representative': 4209699180, 'size': 2}
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id: 110530696
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 105, 'group_counter': 2030, 'group_order': 512, 'label': '128A35', 'order': 128, 'powers': [58], 'representative': 2681985798, 'size': 2}
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id: 110530697
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 106, 'group_counter': 2030, 'group_order': 512, 'label': '128A-35', 'order': 128, 'powers': [57], 'representative': 3649537617, 'size': 2}
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id: 110530698
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 107, 'group_counter': 2030, 'group_order': 512, 'label': '128A37', 'order': 128, 'powers': [60], 'representative': 3479791624, 'size': 2}
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id: 110530699
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 108, 'group_counter': 2030, 'group_order': 512, 'label': '128A-37', 'order': 128, 'powers': [59], 'representative': 1425865873, 'size': 2}
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id: 110530700
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 109, 'group_counter': 2030, 'group_order': 512, 'label': '128A39', 'order': 128, 'powers': [62], 'representative': 2665011132, 'size': 2}
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id: 110530702
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 110, 'group_counter': 2030, 'group_order': 512, 'label': '128A-39', 'order': 128, 'powers': [61], 'representative': 4056927926, 'size': 2}
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id: 110530703
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 111, 'group_counter': 2030, 'group_order': 512, 'label': '128A41', 'order': 128, 'powers': [64], 'representative': 2104849557, 'size': 2}
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id: 110530704
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 112, 'group_counter': 2030, 'group_order': 512, 'label': '128A-41', 'order': 128, 'powers': [63], 'representative': 1935103674, 'size': 2}
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id: 110530705
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 113, 'group_counter': 2030, 'group_order': 512, 'label': '128A43', 'order': 128, 'powers': [66], 'representative': 4141800713, 'size': 2}
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id: 110530706
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 114, 'group_counter': 2030, 'group_order': 512, 'label': '128A-43', 'order': 128, 'powers': [65], 'representative': 1340992896, 'size': 2}
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id: 110530707
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 115, 'group_counter': 2030, 'group_order': 512, 'label': '128A45', 'order': 128, 'powers': [68], 'representative': 2698960376, 'size': 2}
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id: 110530708
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 116, 'group_counter': 2030, 'group_order': 512, 'label': '128A-45', 'order': 128, 'powers': [67], 'representative': 2003002000, 'size': 2}
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id: 110530709
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 117, 'group_counter': 2030, 'group_order': 512, 'label': '128A47', 'order': 128, 'powers': [70], 'representative': 3751385082, 'size': 2}
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id: 110530710
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 118, 'group_counter': 2030, 'group_order': 512, 'label': '128A-47', 'order': 128, 'powers': [69], 'representative': 3513740946, 'size': 2}
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id: 110530711
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 119, 'group_counter': 2030, 'group_order': 512, 'label': '128A49', 'order': 128, 'powers': [70], 'representative': 611085377, 'size': 2}
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id: 110530713
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 120, 'group_counter': 2030, 'group_order': 512, 'label': '128A-49', 'order': 128, 'powers': [69], 'representative': 3310045685, 'size': 2}
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id: 110530714
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 121, 'group_counter': 2030, 'group_order': 512, 'label': '128A51', 'order': 128, 'powers': [68], 'representative': 1663510203, 'size': 2}
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id: 110530715
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 122, 'group_counter': 2030, 'group_order': 512, 'label': '128A-51', 'order': 128, 'powers': [67], 'representative': 2359468453, 'size': 2}
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id: 110530716
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 123, 'group_counter': 2030, 'group_order': 512, 'label': '128A53', 'order': 128, 'powers': [66], 'representative': 356466466, 'size': 2}
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id: 110530717
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 124, 'group_counter': 2030, 'group_order': 512, 'label': '128A-53', 'order': 128, 'powers': [65], 'representative': 3021477603, 'size': 2}
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id: 110530718
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 125, 'group_counter': 2030, 'group_order': 512, 'label': '128A55', 'order': 128, 'powers': [64], 'representative': 2257620894, 'size': 2}
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id: 110530719
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 126, 'group_counter': 2030, 'group_order': 512, 'label': '128A-55', 'order': 128, 'powers': [63], 'representative': 2427366871, 'size': 2}
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id: 110530720
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 127, 'group_counter': 2030, 'group_order': 512, 'label': '128A57', 'order': 128, 'powers': [62], 'representative': 3836258175, 'size': 2}
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id: 110530721
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 128, 'group_counter': 2030, 'group_order': 512, 'label': '128A-57', 'order': 128, 'powers': [61], 'representative': 4056927785, 'size': 2}
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id: 110530722
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 129, 'group_counter': 2030, 'group_order': 512, 'label': '128A59', 'order': 128, 'powers': [60], 'representative': 1001501039, 'size': 2}
-
id: 110530724
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 130, 'group_counter': 2030, 'group_order': 512, 'label': '128A-59', 'order': 128, 'powers': [59], 'representative': 2936604650, 'size': 2}
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id: 110530725
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 131, 'group_counter': 2030, 'group_order': 512, 'label': '128A61', 'order': 128, 'powers': [58], 'representative': 2681985847, 'size': 2}
-
id: 110530726
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 132, 'group_counter': 2030, 'group_order': 512, 'label': '128A-61', 'order': 128, 'powers': [57], 'representative': 2070900388, 'size': 2}
-
id: 110530727
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 133, 'group_counter': 2030, 'group_order': 512, 'label': '128A63', 'order': 128, 'powers': [56], 'representative': 2444341449, 'size': 2}
-
id: 110530728
{'aut_label': '128A1', 'centralizer': '2.c1.a1', 'counter': 134, 'group_counter': 2030, 'group_order': 512, 'label': '128A-63', 'order': 128, 'powers': [55], 'representative': 4209699205, 'size': 2}
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gps_qchar • Show schema
Hide schema
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id: 4649013
{'cdim': 1, 'counter': 1, 'faithful': False, 'group': '512.2030', 'group_order': 512, 'image': None, 'label': '512.2030.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
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id: 4649022
{'cdim': 1, 'counter': 2, 'faithful': False, 'group': '512.2030', 'group_order': 512, 'image': None, 'label': '512.2030.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
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id: 4649023
{'cdim': 1, 'counter': 3, 'faithful': False, 'group': '512.2030', 'group_order': 512, 'image': None, 'label': '512.2030.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
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id: 4649024
{'cdim': 1, 'counter': 4, 'faithful': False, 'group': '512.2030', 'group_order': 512, 'image': None, 'label': '512.2030.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
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id: 4649025
{'cdim': 1, 'counter': 5, 'faithful': False, 'group': '512.2030', 'group_order': 512, 'image': None, 'label': '512.2030.1e', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, 0, 0, -2, 2, 2, -2, -2, -2, 2, 2, -2, -2, -2, 2, -2, 2, 2, -2, -2, 2, -2, 2, -2, 2, 2, 2, 2, 2, -2, -2, 2, 2, 2, -2, -2, 2, -2, 2, 2, 2, 2, -2, -2, 2, -2, -2, -2, -2, 2, -2, -2, 2, 2, -2, -2, -2, 2, 2, 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], 'schur_index': 1}
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id: 4649026
{'cdim': 1, 'counter': 6, 'faithful': False, 'group': '512.2030', 'group_order': 512, 'image': None, 'label': '512.2030.1f', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, 2, -2, -2, 2, -2, -2, -2, 2, 2, 0, 0, -2, 2, 2, -2, -2, -2, 2, 2, -2, -2, -2, 2, -2, 2, 2, -2, -2, 2, -2, 2, -2, 2, 2, 2, 2, 2, -2, -2, 2, 2, 2, -2, -2, 2, -2, 2, 2, 2, 2, -2, -2, 2, -2, -2, -2, -2, 2, -2, -2, 2, 2, -2, -2, -2, 2, 2, 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], 'schur_index': 1}
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id: 4649027
{'cdim': 2, 'counter': 7, 'faithful': False, 'group': '512.2030', 'group_order': 512, 'image': None, 'label': '512.2030.2a', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, -2, 0, -2, -2, 2, 0, -2, -2, 2, 2, 0, 0, -2, 2, 2, -2, -2, -2, 2, 2, -2, -2, -2, 2, -2, 2, 2, -2, -2, 2, -2, 2, -2, 2, 2, 2, -2, -2, 2, 2, -2, -2, -2, 2, 2, -2, 2, -2, -2, -2, -2, 2, 2, -2, 2, 2, 2, 2, -2, 2, 2, -2, -2, 2, 2, 2, -2, -2, 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], 'schur_index': 1}
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id: 4649028
{'cdim': 2, 'counter': 8, 'faithful': False, 'group': '512.2030', 'group_order': 512, 'image': None, 'label': '512.2030.2b', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 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], 'schur_index': 1}
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id: 4649029
{'cdim': 2, 'counter': 9, 'faithful': False, 'group': '512.2030', 'group_order': 512, 'image': None, 'label': '512.2030.2c', 'multiplicity': 2, 'nt': [8, 6], 'qdim': 4, 'qvalues': [4, 4, 4, 0, 4, 4, 4, 0, 4, 4, 4, 4, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -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], 'schur_index': 1}
-
id: 4649014
{'cdim': 2, 'counter': 10, 'faithful': False, 'group': '512.2030', 'group_order': 512, 'image': None, 'label': '512.2030.2d', 'multiplicity': 2, 'nt': [8, 8], 'qdim': 4, 'qvalues': [4, 4, -4, 0, -4, -4, 4, 0, -4, -4, 4, 4, 0, 0, -4, 4, 4, -4, -4, -4, 4, 4, 4, 4, 4, -4, 4, -4, -4, 4, 4, -4, 4, -4, 4, -4, -4, -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], 'schur_index': 1}
-
id: 4649015
{'cdim': 2, 'counter': 11, 'faithful': False, 'group': '512.2030', 'group_order': 512, 'image': None, 'label': '512.2030.2e', 'multiplicity': 4, 'nt': [16, 55], 'qdim': 8, 'qvalues': [8, 8, -8, 0, -8, -8, 8, 0, -8, -8, 8, 8, 0, 0, 8, -8, -8, 8, 8, 8, -8, -8, 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], 'schur_index': 1}
-
id: 4649016
{'cdim': 2, 'counter': 12, 'faithful': False, 'group': '512.2030', 'group_order': 512, 'image': None, 'label': '512.2030.2f', 'multiplicity': 4, 'nt': [16, 56], 'qdim': 8, 'qvalues': [8, 8, 8, 0, 8, 8, 8, 0, 8, 8, 8, 8, 0, 0, -8, -8, -8, -8, -8, -8, -8, -8, 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], 'schur_index': 1}
-
id: 4649017
{'cdim': 2, 'counter': 13, 'faithful': False, 'group': '512.2030', 'group_order': 512, 'image': None, 'label': '512.2030.2g', 'multiplicity': 8, 'nt': [32, 373], 'qdim': 16, 'qvalues': [16, 16, -16, 0, -16, -16, 16, 0, 16, 16, -16, -16, 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], 'schur_index': 1}
-
id: 4649018
{'cdim': 2, 'counter': 14, 'faithful': False, 'group': '512.2030', 'group_order': 512, 'image': None, 'label': '512.2030.2h', 'multiplicity': 8, 'nt': [32, 374], 'qdim': 16, 'qvalues': [16, 16, 16, 0, 16, 16, 16, 0, -16, -16, -16, -16, 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], 'schur_index': 1}
-
id: 4649019
{'cdim': 2, 'counter': 15, 'faithful': False, 'group': '512.2030', 'group_order': 512, 'image': None, 'label': '512.2030.2i', 'multiplicity': 16, 'nt': [64, 0], 'qdim': 32, 'qvalues': [32, 32, -32, 0, 32, 32, -32, 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], 'schur_index': 1}
-
id: 4649020
{'cdim': 2, 'counter': 16, 'faithful': False, 'group': '512.2030', 'group_order': 512, 'image': None, 'label': '512.2030.2j', 'multiplicity': 16, 'nt': [64, 0], 'qdim': 32, 'qvalues': [32, 32, 32, 0, -32, -32, -32, 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], 'schur_index': 1}
-
id: 4649021
{'cdim': 2, 'counter': 17, 'faithful': True, 'group': '512.2030', 'group_order': 512, 'image': None, 'label': '512.2030.2k', 'multiplicity': 64, 'nt': [256, 0], 'qdim': 128, 'qvalues': [128, -128, 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], 'schur_index': 1}
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gps_char • Show schema
Hide schema
-
id: 7438148
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 512, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '512.2030', 'group_counter': 2030, 'group_order': 512, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 512, 'label': '512.2030.1a', 'nt': [1, 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, 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, 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, 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, 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, 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, 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, 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, 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]]]}
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id: 7438194
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id: 7438205
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 512, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '512.2030', 'group_counter': 2030, 'group_order': 512, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1.a1', 'kernel_order': 256, 'label': '512.2030.1c', 'nt': [2, 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, 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, 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, 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, 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, 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, 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, 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, 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]]]}
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id: 7438216
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 512, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '512.2030', 'group_counter': 2030, 'group_order': 512, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.a1', 'kernel_order': 256, 'label': '512.2030.1d', 'nt': [2, 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, 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, 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, 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, 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, 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, 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, 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, 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]]]}
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id: 7438227
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 512, 'counter': 5, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '512.2030', 'group_counter': 2030, 'group_order': 512, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.c1.a1', 'kernel_order': 128, 'label': '512.2030.1e1', 'nt': [4, 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, 1]], [[1, 1]], [[-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, 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, 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, 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, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]]]}
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id: 7438238
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 512, 'counter': 6, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '512.2030', 'group_counter': 2030, 'group_order': 512, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.c1.a1', 'kernel_order': 128, 'label': '512.2030.1e2', 'nt': [4, 2], '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, 1]], [[-1, 1]], [[-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, 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, 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, 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, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]]]}
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id: 7438249
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 512, 'counter': 7, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '512.2030', 'group_counter': 2030, 'group_order': 512, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.b1.a1', 'kernel_order': 128, 'label': '512.2030.1f1', 'nt': [4, 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, 1]], [[1, 1]], [[-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, 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, 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, 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, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]]]}
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id: 7438260
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 512, 'counter': 8, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '512.2030', 'group_counter': 2030, 'group_order': 512, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.b1.a1', 'kernel_order': 128, 'label': '512.2030.1f2', 'nt': [4, 2], '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, 1]], [[-1, 1]], [[-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, 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, 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, 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, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]]]}
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id: 7438271
{'center': '4.a1.a1', 'center_index': 4, 'center_order': 128, 'counter': 9, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '512.2030', 'group_counter': 2030, 'group_order': 512, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.c1.a1', 'kernel_order': 64, 'label': '512.2030.2a', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 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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id: 7438149
{'center': '4.a1.a1', 'center_index': 4, 'center_order': 128, 'counter': 10, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '512.2030', 'group_counter': 2030, 'group_order': 512, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.a1.a1', 'kernel_order': 64, 'label': '512.2030.2b', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 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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id: 7438160
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id: 7438171
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id: 7438182
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id: 7438188
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id: 7438189
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id: 7438190
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id: 7438191
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id: 7438192
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id: 7438193
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id: 7438195
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id: 7438196
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id: 7438197
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id: 7438198
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id: 7438199
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id: 7438200
{'center': '32.a1.a1', 'center_index': 32, 'center_order': 16, 'counter': 25, 'cyclotomic_n': 32, 'dim': 2, 'faithful': False, 'field': [2, 0, 16, 0, 20, 0, 8, 0, 1], 'group': '512.2030', 'group_counter': 2030, 'group_order': 512, 'image': None, 'image_isoclass': '64.53', 'image_order': 64, 'indicator': 0, 'kernel': '64.b1.a1', 'kernel_order': 8, 'label': '512.2030.2g3', 'nt': [32, 373], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 3], [-1, 13]], [[-1, 7], [-1, 9]], [[-1, 3], [-1, 13]], [[-1, 5], [-1, 11]], [[1, 7], [1, 9]], [[1, 3], [1, 13]], [[-1, 3], [-1, 13]], [[1, 3], [1, 13]], [[1, 7], [1, 9]], [[-1, 3], [-1, 13]], [[-1, 5], [-1, 11]], [[-1, 1], [-1, 15]], [[-1, 7], [-1, 9]], [[1, 3], [1, 13]], [[-1, 1], [-1, 15]], [[-1, 3], [-1, 13]], [[-1, 7], [-1, 9]], [[1, 1], [1, 15]], [[1, 5], [1, 11]], [[1, 3], [1, 13]], [[-1, 5], [-1, 11]], [[-1, 7], [-1, 9]], [[1, 3], [1, 13]], [[-1, 5], [-1, 11]], [[1, 7], [1, 9]], [[1, 5], [1, 11]], [[1, 5], [1, 11]], [[1, 7], [1, 9]], [[-1, 5], [-1, 11]], [[-1, 1], [-1, 15]], [[-1, 7], [-1, 9]], [[1, 1], [1, 15]], [[1, 1], [1, 15]], [[-1, 7], [-1, 9]], [[-1, 1], [-1, 15]], [[-1, 3], [-1, 13]], [[1, 3], [1, 13]], [[1, 3], [1, 13]], [[1, 5], [1, 11]], [[-1, 1], [-1, 15]], [[1, 1], [1, 15]], [[1, 7], [1, 9]], [[-1, 3], [-1, 13]], [[-1, 5], [-1, 11]], [[1, 7], [1, 9]], [[1, 1], [1, 15]], [[-1, 5], [-1, 11]], [[1, 5], [1, 11]], [[-1, 7], [-1, 9]], [[-1, 1], [-1, 15]], [[1, 1], [1, 15]], [[1, 5], [1, 11]], [[-1, 1], [-1, 15]], [[-1, 3], [-1, 13]], [[1, 1], [1, 15]], [[-1, 1], [-1, 15]], [[1, 5], [1, 11]], [[1, 1], [1, 15]], [[-1, 7], [-1, 9]], [[-1, 5], [-1, 11]], [[1, 7], [1, 9]], [[1, 5], [1, 11]], [[1, 7], [1, 9]], [[1, 3], [1, 13]]]}
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id: 7438201
{'center': '32.a1.a1', 'center_index': 32, 'center_order': 16, 'counter': 26, 'cyclotomic_n': 32, 'dim': 2, 'faithful': False, 'field': [2, 0, 16, 0, 20, 0, 8, 0, 1], 'group': '512.2030', 'group_counter': 2030, 'group_order': 512, 'image': None, 'image_isoclass': '64.53', 'image_order': 64, 'indicator': 0, 'kernel': '64.b1.a1', 'kernel_order': 8, 'label': '512.2030.2g4', 'nt': [32, 8], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 3], [1, 13]], [[1, 7], [1, 9]], [[1, 3], [1, 13]], [[1, 5], [1, 11]], [[-1, 7], [-1, 9]], [[-1, 3], [-1, 13]], [[1, 3], [1, 13]], [[-1, 3], [-1, 13]], [[-1, 7], [-1, 9]], [[1, 3], [1, 13]], [[1, 5], [1, 11]], [[1, 1], [1, 15]], [[1, 7], [1, 9]], [[-1, 3], [-1, 13]], [[1, 1], [1, 15]], [[1, 3], [1, 13]], [[1, 7], [1, 9]], [[-1, 1], [-1, 15]], [[-1, 5], [-1, 11]], [[-1, 3], [-1, 13]], [[1, 5], [1, 11]], [[1, 7], [1, 9]], [[-1, 3], [-1, 13]], [[1, 5], [1, 11]], [[-1, 7], [-1, 9]], [[-1, 5], [-1, 11]], [[-1, 5], [-1, 11]], [[-1, 7], [-1, 9]], [[1, 5], [1, 11]], [[1, 1], [1, 15]], [[1, 7], [1, 9]], [[-1, 1], [-1, 15]], [[-1, 1], [-1, 15]], [[1, 7], [1, 9]], [[1, 1], [1, 15]], [[1, 3], [1, 13]], [[-1, 3], [-1, 13]], [[-1, 3], [-1, 13]], [[-1, 5], [-1, 11]], [[1, 1], [1, 15]], [[-1, 1], [-1, 15]], [[-1, 7], [-1, 9]], [[1, 3], [1, 13]], [[1, 5], [1, 11]], [[-1, 7], [-1, 9]], [[-1, 1], [-1, 15]], [[1, 5], [1, 11]], [[-1, 5], [-1, 11]], [[1, 7], [1, 9]], [[1, 1], [1, 15]], [[-1, 1], [-1, 15]], [[-1, 5], [-1, 11]], [[1, 1], [1, 15]], [[1, 3], [1, 13]], [[-1, 1], [-1, 15]], [[1, 1], [1, 15]], [[-1, 5], [-1, 11]], [[-1, 1], [-1, 15]], [[1, 7], [1, 9]], [[1, 5], [1, 11]], [[-1, 7], [-1, 9]], [[-1, 5], [-1, 11]], [[-1, 7], [-1, 9]], [[-1, 3], [-1, 13]]]}
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id: 7438202
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id: 7438203
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id: 7438204
{'center': '32.a1.a1', 'center_index': 32, 'center_order': 16, 'counter': 29, 'cyclotomic_n': 32, 'dim': 2, 'faithful': False, 'field': [2, 0, 16, 0, 20, 0, 8, 0, 1], 'group': '512.2030', 'group_counter': 2030, 'group_order': 512, 'image': None, 'image_isoclass': '64.53', 'image_order': 64, 'indicator': 0, 'kernel': '64.b1.a1', 'kernel_order': 8, 'label': '512.2030.2g7', 'nt': [32, 373], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 7], [-1, 9]], [[1, 5], [1, 11]], [[-1, 7], [-1, 9]], [[-1, 1], [-1, 15]], [[-1, 5], [-1, 11]], [[1, 7], [1, 9]], [[-1, 7], [-1, 9]], [[1, 7], [1, 9]], [[-1, 5], [-1, 11]], [[-1, 7], [-1, 9]], [[-1, 1], [-1, 15]], [[-1, 3], [-1, 13]], [[1, 5], [1, 11]], [[1, 7], [1, 9]], [[-1, 3], [-1, 13]], [[-1, 7], [-1, 9]], [[1, 5], [1, 11]], [[1, 3], [1, 13]], [[1, 1], [1, 15]], [[1, 7], [1, 9]], [[-1, 1], [-1, 15]], [[1, 5], [1, 11]], [[1, 7], [1, 9]], [[-1, 1], [-1, 15]], [[-1, 5], [-1, 11]], [[1, 1], [1, 15]], [[1, 1], [1, 15]], [[-1, 5], [-1, 11]], [[-1, 1], [-1, 15]], [[-1, 3], [-1, 13]], [[1, 5], [1, 11]], [[1, 3], [1, 13]], [[1, 3], [1, 13]], [[1, 5], [1, 11]], [[-1, 3], [-1, 13]], [[-1, 7], [-1, 9]], [[1, 7], [1, 9]], [[1, 7], [1, 9]], [[1, 1], [1, 15]], [[-1, 3], [-1, 13]], [[1, 3], [1, 13]], [[-1, 5], [-1, 11]], [[-1, 7], [-1, 9]], [[-1, 1], [-1, 15]], [[-1, 5], [-1, 11]], [[1, 3], [1, 13]], [[-1, 1], [-1, 15]], [[1, 1], [1, 15]], [[1, 5], [1, 11]], [[-1, 3], [-1, 13]], [[1, 3], [1, 13]], [[1, 1], [1, 15]], [[-1, 3], [-1, 13]], [[-1, 7], [-1, 9]], [[1, 3], [1, 13]], [[-1, 3], [-1, 13]], [[1, 1], [1, 15]], [[1, 3], [1, 13]], [[1, 5], [1, 11]], [[-1, 1], [-1, 15]], [[-1, 5], [-1, 11]], [[1, 1], [1, 15]], [[-1, 5], [-1, 11]], [[1, 7], [1, 9]]]}
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id: 7438206
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id: 7438207
{'center': '32.a1.a1', 'center_index': 32, 'center_order': 16, 'counter': 31, 'cyclotomic_n': 32, 'dim': 2, 'faithful': False, 'field': [2, 0, -16, 0, 20, 0, -8, 0, 1], 'group': '512.2030', 'group_counter': 2030, 'group_order': 512, 'image': None, 'image_isoclass': '64.52', 'image_order': 64, 'indicator': 1, 'kernel': '64.a1.a1', 'kernel_order': 8, 'label': '512.2030.2h1', 'nt': [32, 374], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]]]}
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id: 7438208
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id: 7438209
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id: 7438210
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id: 7438211
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id: 7438212
{'center': '32.a1.a1', 'center_index': 32, 'center_order': 16, 'counter': 36, 'cyclotomic_n': 32, 'dim': 2, 'faithful': False, 'field': [2, 0, -16, 0, 20, 0, -8, 0, 1], 'group': '512.2030', 'group_counter': 2030, 'group_order': 512, 'image': None, 'image_isoclass': '64.52', 'image_order': 64, 'indicator': 1, 'kernel': '64.a1.a1', 'kernel_order': 8, 'label': '512.2030.2h6', 'nt': [32, 374], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[1, 3], [1, -3]]]}
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id: 7438213
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id: 7438214
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id: 7438215
{'center': '64.a1.a1', 'center_index': 64, 'center_order': 8, 'counter': 39, 'cyclotomic_n': 64, 'dim': 2, 'faithful': False, 'field': [2, 0, -64, 0, 336, 0, -672, 0, 660, 0, -352, 0, 104, 0, -16, 0, 1], 'group': '512.2030', 'group_counter': 2030, 'group_order': 512, 'image': None, 'image_isoclass': '128.161', 'image_order': 128, 'indicator': 1, 'kernel': '128.b1.a1', 'kernel_order': 4, 'label': '512.2030.2i1', 'nt': [64, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 9], [-1, -9]], [[1, 11], [1, -11]], [[-1, 9], [-1, -9]], [[1, 15], [1, -15]], [[1, 11], [1, -11]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[-1, 15], [-1, -15]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[-1, 11], [-1, -11]], [[-1, 13], [-1, -13]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 15], [1, -15]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 15], [-1, -15]], [[-1, 1], [-1, -1]], [[-1, 11], [-1, -11]], [[-1, 1], [-1, -1]], [[-1, 13], [-1, -13]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 11], [-1, -11]], [[1, 13], [1, -13]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[1, 15], [1, -15]], [[-1, 3], [-1, -3]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, -5]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[-1, 1], [-1, -1]], [[1, 15], [1, -15]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[-1, 13], [-1, -13]], [[1, 7], [1, -7]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 15], [-1, -15]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 15], [-1, -15]], [[1, 11], [1, -11]], [[-1, 1], [-1, -1]], [[-1, 11], [-1, -11]], [[1, 9], [1, -9]]]}
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id: 7438225
{'center': '64.a1.a1', 'center_index': 64, 'center_order': 8, 'counter': 48, 'cyclotomic_n': 64, 'dim': 2, 'faithful': False, 'field': [2, 0, -64, 0, 336, 0, -672, 0, 660, 0, -352, 0, 104, 0, -16, 0, 1], 'group': '512.2030', 'group_counter': 2030, 'group_order': 512, 'image': None, 'image_isoclass': '128.161', 'image_order': 128, 'indicator': 1, 'kernel': '128.b1.a1', 'kernel_order': 4, 'label': '512.2030.2i10', 'nt': [64, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[1, 10], [1, -10]], [[1, 13], [1, -13]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[-1, 13], [-1, -13]], [[-1, 11], [-1, -11]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-1, 15], [-1, -15]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 13], [-1, -13]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[-1, 11], [-1, -11]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[-1, 15], [-1, -15]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[-1, 13], [-1, -13]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 11], [1, -11]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[-1, 11], [-1, -11]], [[1, 15], [1, -15]], [[1, 7], [1, -7]], [[-1, 11], [-1, -11]], [[1, 9], [1, -9]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[-1, 13], [-1, -13]]]}
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id: 7438226
{'center': '64.a1.a1', 'center_index': 64, 'center_order': 8, 'counter': 49, 'cyclotomic_n': 64, 'dim': 2, 'faithful': False, 'field': [2, 0, -64, 0, 336, 0, -672, 0, 660, 0, -352, 0, 104, 0, -16, 0, 1], 'group': '512.2030', 'group_counter': 2030, 'group_order': 512, 'image': None, 'image_isoclass': '128.161', 'image_order': 128, 'indicator': 1, 'kernel': '128.b1.a1', 'kernel_order': 4, 'label': '512.2030.2i11', 'nt': [64, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[-1, 14], [-1, -14]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[-1, 10], [-1, -10]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[1, 13], [1, -13]], [[-1, 1], [-1, -1]], [[-1, 13], [-1, -13]], [[1, 7], [1, -7]], [[1, 15], [1, -15]], [[-1, 11], [-1, -11]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[-1, 13], [-1, -13]], [[-1, 11], [-1, -11]], [[1, 9], [1, -9]], [[-1, 5], [-1, -5]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 11], [1, -11]], [[1, 15], [1, -15]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[-1, 15], [-1, -15]], [[1, 13], [1, -13]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-1, 11], [-1, -11]], [[-1, 9], [-1, -9]], [[-1, 15], [-1, -15]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[-1, 9], [-1, -9]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[-1, 11], [-1, -11]], [[1, 15], [1, -15]], [[-1, 13], [-1, -13]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 3], [1, -3]]]}
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id: 7438228
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id: 7438229
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id: 7438230
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id: 7438231
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id: 7438232
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id: 7438217
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id: 7438218
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id: 7438219
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id: 7438220
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id: 7438221
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id: 7438222
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id: 7438223
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id: 7438224
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id: 7438233
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id: 7438243
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id: 7438244
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id: 7438245
{'center': '64.a1.a1', 'center_index': 64, 'center_order': 8, 'counter': 66, 'cyclotomic_n': 64, 'dim': 2, 'faithful': False, 'field': [2, 0, 64, 0, 336, 0, 672, 0, 660, 0, 352, 0, 104, 0, 16, 0, 1], 'group': '512.2030', 'group_counter': 2030, 'group_order': 512, 'image': None, 'image_isoclass': '128.162', 'image_order': 128, 'indicator': 0, 'kernel': '128.a1.a1', 'kernel_order': 4, 'label': '512.2030.2j12', 'nt': [64, 16], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 14], [1, -14]], [[-1, 14], [-1, -14]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 14], [1, -14]], [[1, 6], [1, -6]], [[-1, 14], [-1, -14]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 14], [1, -14]], [[-1, 2], [-1, -2]], [[-1, 14], [-1, -14]], [[1, 6], [1, -6]], [[-1, 14], [-1, -14]], [[1, 1], [1, 31]], [[-1, 13], [-1, 19]], [[1, 1], [1, 31]], [[-1, 9], [-1, 23]], [[1, 13], [1, 19]], [[-1, 15], [-1, 17]], [[1, 15], [1, 17]], [[1, 15], [1, 17]], [[-1, 3], [-1, 29]], [[-1, 1], [-1, 31]], [[1, 9], [1, 23]], [[1, 11], [1, 21]], [[-1, 13], [-1, 19]], [[-1, 15], [-1, 17]], [[-1, 11], [-1, 21]], [[-1, 15], [-1, 17]], [[1, 13], [1, 19]], [[1, 5], [1, 27]], [[-1, 7], [-1, 25]], [[1, 1], [1, 31]], [[-1, 9], [-1, 23]], [[-1, 3], [-1, 29]], [[1, 15], [1, 17]], [[1, 7], [1, 25]], [[1, 3], [1, 29]], [[-1, 9], [-1, 23]], [[1, 7], [1, 25]], [[-1, 13], [-1, 19]], [[-1, 7], [-1, 25]], [[-1, 5], [-1, 27]], [[1, 3], [1, 29]], [[-1, 11], [-1, 21]], [[1, 11], [1, 21]], [[1, 13], [1, 19]], [[1, 5], [1, 27]], [[1, 15], [1, 17]], [[-1, 1], [-1, 31]], [[-1, 1], [-1, 31]], [[1, 9], [1, 23]], [[-1, 11], [-1, 21]], [[1, 5], [1, 27]], [[1, 3], [1, 29]], [[-1, 1], [-1, 31]], [[1, 7], [1, 25]], [[-1, 3], [-1, 29]], [[-1, 5], [-1, 27]], [[-1, 7], [-1, 25]], [[1, 9], [1, 23]], [[1, 3], [1, 29]], [[1, 5], [1, 27]], [[-1, 5], [-1, 27]], [[-1, 7], [-1, 25]], [[-1, 5], [-1, 27]], [[-1, 15], [-1, 17]], [[1, 11], [1, 21]], [[1, 11], [1, 21]], [[-1, 9], [-1, 23]], [[-1, 11], [-1, 21]], [[-1, 3], [-1, 29]], [[1, 9], [1, 23]], [[1, 13], [1, 19]], [[1, 7], [1, 25]], [[-1, 13], [-1, 19]], [[1, 1], [1, 31]]]}
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id: 7438246
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id: 7438247
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id: 7438248
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id: 7438250
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id: 7438234
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id: 7438235
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id: 7438236
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id: 7438237
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id: 7438239
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id: 7438240
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id: 7438241
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id: 7438242
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id: 7438251
{'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 71, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 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, 1], 'group': '512.2030', 'group_counter': 2030, 'group_order': 512, 'image': None, 'image_isoclass': '512.2030', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.2030.2k1', 'nt': [256, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 32]], [[2, 32]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, 48]], [[1, 16], [1, 48]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, 56]], [[1, 24], [1, -24]], [[-1, 8], [-1, -8]], [[1, 24], [1, 40]], [[1, 8], [1, 56]], [[-1, 24], [-1, 40]], [[1, 8], [1, -8]], [[-1, 24], [-1, -24]], [[-1, 12], [-1, 52]], [[1, 4], [1, 60]], [[1, 28], [1, 36]], [[1, 20], [1, -20]], [[-1, 4], [-1, 60]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-1, 20], [-1, 44]], [[1, 20], [1, 44]], [[-1, 4], [-1, -4]], [[1, 12], [1, 52]], [[-1, 20], [-1, -20]], [[-1, 28], [-1, 36]], [[-1, 28], [-1, -28]], [[1, 4], [1, -4]], [[1, 28], [1, -28]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 30], [-1, 34]], [[-1, 14], [-1, 50]], [[1, 26], [1, -26]], [[-1, 22], [-1, -22]], [[1, 18], [1, -18]], [[-1, 10], [-1, 54]], [[1, 6], [1, 58]], [[-1, 2], [-1, -2]], [[1, 10], [1, 54]], [[-1, 30], [-1, -30]], [[-1, 18], [-1, -18]], [[-1, 26], [-1, -26]], [[1, 6], [1, -6]], [[-1, 26], [-1, 38]], [[-1, 22], [-1, 42]], [[1, 14], [1, -14]], [[-1, 6], [-1, 58]], [[-1, 2], [-1, 62]], [[1, 26], [1, 38]], [[1, 18], [1, 46]], [[-1, 14], [-1, -14]], [[1, 22], [1, 42]], [[-1, 18], [-1, 46]], [[-1, 6], [-1, -6]], [[1, 22], [1, -22]], [[1, 2], [1, 62]], [[1, 14], [1, 50]], [[1, 30], [1, 34]], [[1, 10], [1, -10]], [[1, 30], [1, -30]], [[-1, 9], [-1, 23]], [[1, 11], [1, 21]], [[1, 9], [1, 23]], [[-1, 47], [-1, 49]], [[-1, 43], [-1, 53]], [[-1, 39], [1, 57]], [[-1, 7], [1, 25]], [[1, 7], [1, 25]], [[1, 37], [-1, 59]], [[1, 41], [-1, 55]], [[-1, 15], [1, 17]], [[1, 35], [1, 61]], [[-1, 11], [-1, 21]], [[1, 39], [-1, 57]], [[1, 3], [-1, 29]], [[1, 39], [1, 57]], [[1, 43], [-1, 53]], [[1, 45], [1, 51]], [[-1, 1], [1, 31]], [[-1, 9], [1, 23]], [[1, 47], [1, 49]], [[1, 37], [1, 59]], [[-1, 7], [-1, 25]], [[-1, 33], [1, 63]], [[-1, 5], [-1, 27]], [[1, 47], [-1, 49]], [[-1, 33], [-1, 63]], [[1, 11], [-1, 21]], [[1, 1], [1, 31]], [[1, 13], [1, 19]], [[1, 5], [-1, 27]], [[1, 3], [1, 29]], [[-1, 35], [1, 61]], [[-1, 43], [1, 53]], [[1, 45], [-1, 51]], [[1, 7], [-1, 25]], [[-1, 41], [-1, 55]], [[1, 41], [1, 55]], [[1, 15], [1, 17]], [[-1, 3], [1, 29]], [[-1, 45], [-1, 51]], [[1, 5], [1, 27]], [[-1, 41], [1, 55]], [[1, 33], [-1, 63]], [[-1, 37], [1, 59]], [[-1, 13], [1, 19]], [[-1, 1], [-1, 31]], [[-1, 15], [-1, 17]], [[-1, 5], [1, 27]], [[-1, 45], [1, 51]], [[1, 13], [-1, 19]], [[1, 1], [-1, 31]], [[-1, 13], [-1, 19]], [[-1, 39], [-1, 57]], [[1, 35], [-1, 61]], [[-1, 35], [-1, 61]], [[-1, 47], [1, 49]], [[-1, 3], [-1, 29]], [[-1, 37], [-1, 59]], [[1, 15], [-1, 17]], [[1, 43], [1, 53]], [[1, 33], [1, 63]], [[-1, 11], [1, 21]], [[1, 9], [-1, 23]]]}
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id: 7438261
{'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 80, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 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, 1], 'group': '512.2030', 'group_counter': 2030, 'group_order': 512, 'image': None, 'image_isoclass': '512.2030', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.2030.2k10', 'nt': [256, 64], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 32]], [[-2, 32]], [[0, 0]], [[0, 0]], [[1, 16], [1, 48]], [[-1, 16], [-1, 48]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[0, 0]], [[0, 0]], [[1, 8], [1, 56]], [[1, 24], [1, -24]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, 56]], [[1, 24], [1, 40]], [[1, 8], [1, -8]], [[-1, 24], [-1, -24]], [[-1, 12], [-1, 52]], [[1, 4], [1, 60]], [[1, 28], [1, 36]], [[-1, 20], [-1, -20]], [[-1, 4], [-1, 60]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 20], [-1, 44]], [[1, 20], [1, 44]], [[1, 4], [1, -4]], [[1, 12], [1, 52]], [[1, 20], [1, -20]], [[-1, 28], [-1, 36]], [[1, 28], [1, -28]], [[-1, 4], [-1, -4]], [[-1, 28], [-1, -28]], [[-1, 22], [-1, -22]], [[1, 30], [1, -30]], [[1, 2], [1, 62]], [[1, 18], [1, 46]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[-1, 22], [-1, 42]], [[-1, 26], [-1, 38]], [[-1, 30], [-1, -30]], [[1, 22], [1, 42]], [[1, 2], [1, -2]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[-1, 26], [-1, -26]], [[-1, 6], [-1, 58]], [[1, 10], [1, 54]], [[-1, 18], [-1, -18]], [[1, 26], [1, 38]], [[-1, 30], [-1, 34]], [[1, 6], [1, 58]], [[1, 14], [1, 50]], [[1, 18], [1, -18]], [[-1, 10], [-1, 54]], [[-1, 14], [-1, 50]], [[1, 26], [1, -26]], [[-1, 10], [-1, -10]], [[1, 30], [1, 34]], [[-1, 18], [-1, 46]], [[-1, 2], [-1, 62]], [[1, 22], [1, -22]], [[-1, 2], [-1, -2]], [[-1, 7], [1, 25]], [[1, 37], [1, 59]], [[1, 7], [-1, 25]], [[1, 1], [1, 31]], [[-1, 5], [-1, 27]], [[1, 9], [-1, 23]], [[1, 41], [-1, 55]], [[-1, 41], [-1, 55]], [[1, 43], [1, 53]], [[-1, 39], [-1, 57]], [[1, 33], [-1, 63]], [[1, 13], [1, 19]], [[-1, 37], [-1, 59]], [[-1, 9], [1, 23]], [[1, 45], [-1, 51]], [[-1, 9], [-1, 23]], [[1, 5], [-1, 27]], [[1, 35], [-1, 61]], [[-1, 15], [-1, 17]], [[-1, 7], [-1, 25]], [[-1, 1], [-1, 31]], [[1, 43], [-1, 53]], [[1, 41], [1, 55]], [[1, 47], [1, 49]], [[1, 11], [-1, 21]], [[-1, 1], [1, 31]], [[1, 47], [-1, 49]], [[1, 37], [-1, 59]], [[1, 15], [-1, 17]], [[-1, 3], [1, 29]], [[-1, 11], [-1, 21]], [[1, 45], [1, 51]], [[-1, 13], [1, 19]], [[-1, 5], [1, 27]], [[1, 35], [1, 61]], [[-1, 41], [1, 55]], [[1, 39], [-1, 57]], [[-1, 39], [1, 57]], [[-1, 33], [-1, 63]], [[-1, 45], [1, 51]], [[-1, 35], [1, 61]], [[-1, 11], [1, 21]], [[1, 39], [1, 57]], [[-1, 47], [-1, 49]], [[-1, 43], [-1, 53]], [[1, 3], [1, 29]], [[-1, 15], [1, 17]], [[1, 33], [1, 63]], [[1, 11], [1, 21]], [[-1, 35], [-1, 61]], [[-1, 3], [-1, 29]], [[1, 15], [1, 17]], [[1, 3], [-1, 29]], [[1, 9], [1, 23]], [[1, 13], [-1, 19]], [[-1, 13], [-1, 19]], [[1, 1], [-1, 31]], [[-1, 45], [-1, 51]], [[-1, 43], [1, 53]], [[-1, 33], [1, 63]], [[1, 5], [1, 27]], [[-1, 47], [1, 49]], [[-1, 37], [1, 59]], [[1, 7], [1, 25]]]}
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id: 7438262
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id: 7438263
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id: 7438264
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id: 7438265
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id: 7438266
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id: 7438267
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id: 7438268
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id: 7438269
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id: 7438270
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id: 7438252
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id: 7438272
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id: 7438273
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id: 7438274
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id: 7438275
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id: 7438276
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id: 7438277
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id: 7438278
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id: 7438279
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id: 7438280
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id: 7438281
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id: 7438253
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id: 7438150
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id: 7438151
{'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 101, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 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, 1], 'group': '512.2030', 'group_counter': 2030, 'group_order': 512, 'image': None, 'image_isoclass': '512.2030', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.2030.2k31', 'nt': [256, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 32]], [[2, 32]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, 48]], [[1, 16], [1, 48]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[0, 0]], [[0, 0]], [[1, 8], [1, 56]], [[-1, 24], [-1, -24]], [[1, 8], [1, -8]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, 56]], [[1, 24], [1, 40]], [[-1, 8], [-1, -8]], [[1, 24], [1, -24]], [[1, 20], [1, 44]], [[1, 28], [1, 36]], [[-1, 4], [-1, 60]], [[-1, 12], [-1, -12]], [[-1, 28], [-1, 36]], [[1, 20], [1, -20]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, 52]], [[1, 12], [1, 52]], [[1, 28], [1, -28]], [[-1, 20], [-1, 44]], [[1, 12], [1, -12]], [[1, 4], [1, 60]], [[-1, 4], [-1, -4]], [[-1, 28], [-1, -28]], [[1, 4], [1, -4]], [[1, 26], [1, -26]], [[1, 18], [1, -18]], [[-1, 14], [-1, 50]], [[1, 2], [1, 62]], [[1, 22], [1, -22]], [[1, 6], [1, -6]], [[-1, 30], [-1, -30]], [[1, 26], [1, 38]], [[1, 10], [1, 54]], [[-1, 18], [-1, -18]], [[-1, 26], [-1, 38]], [[-1, 14], [-1, -14]], [[1, 30], [1, -30]], [[-1, 22], [-1, -22]], [[-1, 10], [-1, -10]], [[1, 22], [1, 42]], [[1, 6], [1, 58]], [[1, 2], [1, -2]], [[-1, 10], [-1, 54]], [[-1, 18], [-1, 46]], [[-1, 22], [-1, 42]], [[1, 30], [1, 34]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, 58]], [[-1, 30], [-1, 34]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 18], [1, 46]], [[-1, 2], [-1, 62]], [[1, 14], [1, 50]], [[-1, 26], [-1, -26]], [[1, 14], [1, -14]], [[1, 15], [1, 17]], [[-1, 35], [1, 61]], [[-1, 15], [-1, 17]], [[-1, 39], [-1, 57]], [[-1, 3], [1, 29]], [[1, 1], [1, 31]], [[-1, 33], [-1, 63]], [[-1, 33], [1, 63]], [[-1, 13], [-1, 19]], [[1, 47], [-1, 49]], [[-1, 7], [1, 25]], [[1, 37], [1, 59]], [[1, 35], [-1, 61]], [[-1, 1], [-1, 31]], [[-1, 5], [1, 27]], [[1, 1], [-1, 31]], [[1, 3], [1, 29]], [[-1, 11], [1, 21]], [[-1, 9], [1, 23]], [[-1, 15], [1, 17]], [[1, 39], [1, 57]], [[-1, 13], [1, 19]], [[1, 33], [-1, 63]], [[-1, 41], [1, 55]], [[-1, 45], [1, 51]], [[1, 39], [-1, 57]], [[-1, 41], [-1, 55]], [[-1, 35], [-1, 61]], [[1, 9], [1, 23]], [[1, 43], [-1, 53]], [[1, 45], [1, 51]], [[1, 5], [1, 27]], [[1, 37], [-1, 59]], [[-1, 3], [-1, 29]], [[1, 11], [1, 21]], [[1, 33], [1, 63]], [[1, 47], [1, 49]], [[-1, 47], [-1, 49]], [[1, 7], [1, 25]], [[1, 5], [-1, 27]], [[1, 11], [-1, 21]], [[1, 45], [-1, 51]], [[-1, 47], [1, 49]], [[1, 41], [-1, 55]], [[1, 13], [1, 19]], [[1, 43], [1, 53]], [[-1, 9], [-1, 23]], [[-1, 7], [-1, 25]], [[-1, 45], [-1, 51]], [[-1, 11], [-1, 21]], [[-1, 43], [-1, 53]], [[1, 9], [-1, 23]], [[-1, 43], [1, 53]], [[-1, 1], [1, 31]], [[-1, 37], [1, 59]], [[-1, 37], [-1, 59]], [[-1, 39], [1, 57]], [[-1, 5], [-1, 27]], [[1, 13], [-1, 19]], [[1, 7], [-1, 25]], [[1, 3], [-1, 29]], [[1, 41], [1, 55]], [[1, 35], [1, 61]], [[1, 15], [-1, 17]]]}
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id: 7438152
{'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 102, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 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, 1], 'group': '512.2030', 'group_counter': 2030, 'group_order': 512, 'image': None, 'image_isoclass': '512.2030', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.2030.2k32', 'nt': [256, 64], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 32]], [[-2, 32]], [[0, 0]], [[0, 0]], [[1, 16], [1, 48]], [[-1, 16], [-1, 48]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, 56]], [[-1, 24], [-1, -24]], [[1, 8], [1, -8]], [[1, 24], [1, 40]], [[1, 8], [1, 56]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, -8]], [[1, 24], [1, -24]], [[-1, 20], [-1, 44]], [[-1, 28], [-1, 36]], [[1, 4], [1, 60]], [[-1, 12], [-1, -12]], [[1, 28], [1, 36]], [[1, 20], [1, -20]], [[-1, 20], [-1, -20]], [[1, 12], [1, 52]], [[-1, 12], [-1, 52]], [[1, 28], [1, -28]], [[1, 20], [1, 44]], [[1, 12], [1, -12]], [[-1, 4], [-1, 60]], [[-1, 4], [-1, -4]], [[-1, 28], [-1, -28]], [[1, 4], [1, -4]], [[1, 26], [1, -26]], [[1, 18], [1, -18]], [[1, 14], [1, 50]], [[-1, 2], [-1, 62]], [[1, 22], [1, -22]], [[1, 6], [1, -6]], [[-1, 30], [-1, -30]], [[-1, 26], [-1, 38]], [[-1, 10], [-1, 54]], [[-1, 18], [-1, -18]], [[1, 26], [1, 38]], [[-1, 14], [-1, -14]], [[1, 30], [1, -30]], [[-1, 22], [-1, -22]], [[-1, 10], [-1, -10]], [[-1, 22], [-1, 42]], [[-1, 6], [-1, 58]], [[1, 2], [1, -2]], [[1, 10], [1, 54]], [[1, 18], [1, 46]], [[1, 22], [1, 42]], [[-1, 30], [-1, 34]], [[-1, 2], [-1, -2]], [[1, 6], [1, 58]], [[1, 30], [1, 34]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, 46]], [[1, 2], [1, 62]], [[-1, 14], [-1, 50]], [[-1, 26], [-1, -26]], [[1, 14], [1, -14]], [[-1, 47], [-1, 49]], [[-1, 3], [1, 29]], [[1, 47], [1, 49]], [[1, 7], [1, 25]], [[-1, 35], [1, 61]], [[-1, 33], [-1, 63]], [[1, 1], [1, 31]], [[-1, 1], [1, 31]], [[1, 45], [1, 51]], [[1, 15], [-1, 17]], [[-1, 39], [1, 57]], [[-1, 5], [-1, 27]], [[1, 3], [-1, 29]], [[1, 33], [1, 63]], [[-1, 37], [1, 59]], [[1, 33], [-1, 63]], [[-1, 35], [-1, 61]], [[-1, 43], [1, 53]], [[-1, 41], [1, 55]], [[-1, 47], [1, 49]], [[-1, 7], [-1, 25]], [[-1, 45], [1, 51]], [[1, 1], [-1, 31]], [[-1, 9], [1, 23]], [[-1, 13], [1, 19]], [[1, 7], [-1, 25]], [[1, 9], [1, 23]], [[1, 3], [1, 29]], [[-1, 41], [-1, 55]], [[1, 11], [-1, 21]], [[-1, 13], [-1, 19]], [[-1, 37], [-1, 59]], [[1, 5], [-1, 27]], [[1, 35], [1, 61]], [[-1, 43], [-1, 53]], [[-1, 1], [-1, 31]], [[-1, 15], [-1, 17]], [[1, 15], [1, 17]], [[-1, 39], [-1, 57]], [[1, 37], [-1, 59]], [[1, 43], [-1, 53]], [[1, 13], [-1, 19]], [[-1, 15], [1, 17]], [[1, 9], [-1, 23]], [[-1, 45], [-1, 51]], [[-1, 11], [-1, 21]], [[1, 41], [1, 55]], [[1, 39], [1, 57]], [[1, 13], [1, 19]], [[1, 43], [1, 53]], [[1, 11], [1, 21]], [[1, 41], [-1, 55]], [[-1, 11], [1, 21]], [[-1, 33], [1, 63]], [[-1, 5], [1, 27]], [[1, 5], [1, 27]], [[-1, 7], [1, 25]], [[1, 37], [1, 59]], [[1, 45], [-1, 51]], [[1, 39], [-1, 57]], [[1, 35], [-1, 61]], [[-1, 9], [-1, 23]], [[-1, 3], [-1, 29]], [[1, 47], [-1, 49]]]}
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id: 7438153
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id: 7438154
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id: 7438155
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id: 7438156
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id: 7438157
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id: 7438158
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id: 7438159
{'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 109, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 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, 1], 'group': '512.2030', 'group_counter': 2030, 'group_order': 512, 'image': None, 'image_isoclass': '512.2030', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.2030.2k39', 'nt': [256, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 32]], [[2, 32]], [[0, 0]], [[0, 0]], [[1, 16], [1, 48]], [[-1, 16], [-1, 48]], [[-1, 16], [-1, -16]], [[1, 16], [1, -16]], [[0, 0]], [[0, 0]], [[-1, 24], [-1, 40]], [[1, 8], [1, -8]], [[1, 24], [1, -24]], [[-1, 8], [-1, 56]], [[1, 24], [1, 40]], [[1, 8], [1, 56]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, 60]], [[1, 20], [1, 44]], [[1, 12], [1, 52]], [[1, 28], [1, -28]], [[-1, 20], [-1, 44]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 28], [1, 36]], [[-1, 28], [-1, 36]], [[-1, 20], [-1, -20]], [[1, 4], [1, 60]], [[-1, 28], [-1, -28]], [[-1, 12], [-1, 52]], [[-1, 12], [-1, -12]], [[1, 20], [1, -20]], [[1, 12], [1, -12]], [[1, 14], [1, -14]], [[1, 10], [1, -10]], [[-1, 22], [-1, 42]], [[1, 6], [1, 58]], [[1, 2], [1, -2]], [[-1, 18], [-1, -18]], [[-1, 26], [-1, -26]], [[-1, 14], [-1, 50]], [[1, 30], [1, 34]], [[-1, 10], [-1, -10]], [[1, 14], [1, 50]], [[-1, 22], [-1, -22]], [[1, 26], [1, -26]], [[-1, 2], [-1, -2]], [[1, 30], [1, -30]], [[-1, 2], [-1, 62]], [[1, 18], [1, 46]], [[-1, 6], [-1, -6]], [[-1, 30], [-1, 34]], [[-1, 10], [-1, 54]], [[1, 2], [1, 62]], [[-1, 26], [-1, 38]], [[1, 6], [1, -6]], [[-1, 18], [-1, 46]], [[1, 26], [1, 38]], [[-1, 30], [-1, -30]], [[1, 18], [1, -18]], [[1, 10], [1, 54]], [[-1, 6], [-1, 58]], [[1, 22], [1, 42]], [[-1, 14], [-1, -14]], [[1, 22], [1, -22]], [[1, 45], [-1, 51]], [[1, 41], [-1, 55]], [[-1, 45], [1, 51]], [[-1, 43], [-1, 53]], [[1, 9], [-1, 23]], [[-1, 3], [-1, 29]], [[1, 35], [1, 61]], [[-1, 35], [1, 61]], [[1, 39], [-1, 57]], [[1, 13], [1, 19]], [[-1, 11], [1, 21]], [[-1, 47], [-1, 49]], [[-1, 41], [1, 55]], [[1, 3], [1, 29]], [[-1, 15], [1, 17]], [[1, 3], [-1, 29]], [[1, 9], [1, 23]], [[1, 33], [1, 63]], [[1, 5], [-1, 27]], [[1, 45], [1, 51]], [[1, 43], [1, 53]], [[-1, 39], [-1, 57]], [[1, 35], [-1, 61]], [[1, 37], [-1, 59]], [[1, 7], [1, 25]], [[1, 43], [-1, 53]], [[1, 37], [1, 59]], [[-1, 41], [-1, 55]], [[-1, 5], [-1, 27]], [[1, 1], [1, 31]], [[1, 7], [-1, 25]], [[-1, 15], [-1, 17]], [[1, 47], [-1, 49]], [[-1, 9], [-1, 23]], [[1, 33], [-1, 63]], [[-1, 35], [-1, 61]], [[-1, 13], [1, 19]], [[1, 13], [-1, 19]], [[1, 11], [1, 21]], [[1, 15], [-1, 17]], [[-1, 33], [-1, 63]], [[-1, 7], [-1, 25]], [[-1, 13], [-1, 19]], [[-1, 37], [1, 59]], [[-1, 39], [1, 57]], [[-1, 1], [1, 31]], [[1, 5], [1, 27]], [[-1, 11], [-1, 21]], [[-1, 7], [1, 25]], [[-1, 33], [1, 63]], [[1, 1], [-1, 31]], [[-1, 5], [1, 27]], [[-1, 1], [-1, 31]], [[-1, 3], [1, 29]], [[-1, 47], [1, 49]], [[1, 47], [1, 49]], [[-1, 43], [1, 53]], [[1, 15], [1, 17]], [[1, 39], [1, 57]], [[1, 11], [-1, 21]], [[-1, 9], [1, 23]], [[-1, 37], [-1, 59]], [[1, 41], [1, 55]], [[-1, 45], [-1, 51]]]}
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id: 7438254
{'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 74, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 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, 1], 'group': '512.2030', 'group_counter': 2030, 'group_order': 512, 'image': None, 'image_isoclass': '512.2030', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.2030.2k4', 'nt': [256, 64], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 32]], [[-2, 32]], [[0, 0]], [[0, 0]], [[1, 16], [1, 48]], [[-1, 16], [-1, 48]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[0, 0]], [[0, 0]], [[1, 8], [1, 56]], [[1, 24], [1, -24]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, 56]], [[1, 24], [1, 40]], [[1, 8], [1, -8]], [[-1, 24], [-1, -24]], [[1, 12], [1, 52]], [[-1, 4], [-1, 60]], [[-1, 28], [-1, 36]], [[1, 20], [1, -20]], [[1, 4], [1, 60]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[1, 20], [1, 44]], [[-1, 20], [-1, 44]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, 52]], [[-1, 20], [-1, -20]], [[1, 28], [1, 36]], [[-1, 28], [-1, -28]], [[1, 4], [1, -4]], [[1, 28], [1, -28]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 30], [1, 34]], [[1, 14], [1, 50]], [[1, 26], [1, -26]], [[-1, 22], [-1, -22]], [[1, 18], [1, -18]], [[1, 10], [1, 54]], [[-1, 6], [-1, 58]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, 54]], [[-1, 30], [-1, -30]], [[-1, 18], [-1, -18]], [[-1, 26], [-1, -26]], [[1, 6], [1, -6]], [[1, 26], [1, 38]], [[1, 22], [1, 42]], [[1, 14], [1, -14]], [[1, 6], [1, 58]], [[1, 2], [1, 62]], [[-1, 26], [-1, 38]], [[-1, 18], [-1, 46]], [[-1, 14], [-1, -14]], [[-1, 22], [-1, 42]], [[1, 18], [1, 46]], [[-1, 6], [-1, -6]], [[1, 22], [1, -22]], [[-1, 2], [-1, 62]], [[-1, 14], [-1, 50]], [[-1, 30], [-1, 34]], [[1, 10], [1, -10]], [[1, 30], [1, -30]], [[-1, 41], [-1, 55]], [[1, 43], [1, 53]], [[1, 41], [1, 55]], [[-1, 15], [-1, 17]], [[-1, 11], [-1, 21]], [[1, 7], [-1, 25]], [[1, 39], [-1, 57]], [[1, 39], [1, 57]], [[-1, 5], [1, 27]], [[-1, 9], [1, 23]], [[1, 47], [-1, 49]], [[1, 3], [1, 29]], [[-1, 43], [-1, 53]], [[-1, 7], [1, 25]], [[-1, 35], [1, 61]], [[1, 7], [1, 25]], [[-1, 11], [1, 21]], [[1, 13], [1, 19]], [[1, 33], [-1, 63]], [[1, 41], [-1, 55]], [[1, 15], [1, 17]], [[1, 5], [1, 27]], [[-1, 39], [-1, 57]], [[1, 1], [-1, 31]], [[-1, 37], [-1, 59]], [[-1, 15], [1, 17]], [[-1, 1], [-1, 31]], [[-1, 43], [1, 53]], [[1, 33], [1, 63]], [[1, 45], [1, 51]], [[-1, 37], [1, 59]], [[1, 35], [1, 61]], [[1, 3], [-1, 29]], [[1, 11], [-1, 21]], [[-1, 13], [1, 19]], [[-1, 39], [1, 57]], [[-1, 9], [-1, 23]], [[1, 9], [1, 23]], [[1, 47], [1, 49]], [[1, 35], [-1, 61]], [[-1, 13], [-1, 19]], [[1, 37], [1, 59]], [[1, 9], [-1, 23]], [[-1, 1], [1, 31]], [[1, 5], [-1, 27]], [[1, 45], [-1, 51]], [[-1, 33], [-1, 63]], [[-1, 47], [-1, 49]], [[1, 37], [-1, 59]], [[1, 13], [-1, 19]], [[-1, 45], [1, 51]], [[-1, 33], [1, 63]], [[-1, 45], [-1, 51]], [[-1, 7], [-1, 25]], [[-1, 3], [1, 29]], [[-1, 3], [-1, 29]], [[1, 15], [-1, 17]], [[-1, 35], [-1, 61]], [[-1, 5], [-1, 27]], [[-1, 47], [1, 49]], [[1, 11], [1, 21]], [[1, 1], [1, 31]], [[1, 43], [-1, 53]], [[-1, 41], [1, 55]]]}
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id: 7438161
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id: 7438162
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id: 7438163
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id: 7438164
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id: 7438165
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id: 7438166
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id: 7438167
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id: 7438168
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id: 7438169
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id: 7438170
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id: 7438255
{'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 75, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 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, 1], 'group': '512.2030', 'group_counter': 2030, 'group_order': 512, 'image': None, 'image_isoclass': '512.2030', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.2030.2k5', 'nt': [256, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 32]], [[2, 32]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, 48]], [[1, 16], [1, 48]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, 56]], [[1, 24], [1, -24]], [[-1, 8], [-1, -8]], [[1, 24], [1, 40]], [[1, 8], [1, 56]], [[-1, 24], [-1, 40]], [[1, 8], [1, -8]], [[-1, 24], [-1, -24]], [[-1, 12], [-1, 52]], [[1, 4], [1, 60]], [[1, 28], [1, 36]], [[1, 20], [1, -20]], [[-1, 4], [-1, 60]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-1, 20], [-1, 44]], [[1, 20], [1, 44]], [[-1, 4], [-1, -4]], [[1, 12], [1, 52]], [[-1, 20], [-1, -20]], [[-1, 28], [-1, 36]], [[-1, 28], [-1, -28]], [[1, 4], [1, -4]], [[1, 28], [1, -28]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 30], [1, 34]], [[1, 14], [1, 50]], [[-1, 26], [-1, -26]], [[1, 22], [1, -22]], [[-1, 18], [-1, -18]], [[1, 10], [1, 54]], [[-1, 6], [-1, 58]], [[1, 2], [1, -2]], [[-1, 10], [-1, 54]], [[1, 30], [1, -30]], [[1, 18], [1, -18]], [[1, 26], [1, -26]], [[-1, 6], [-1, -6]], [[1, 26], [1, 38]], [[1, 22], [1, 42]], [[-1, 14], [-1, -14]], [[1, 6], [1, 58]], [[1, 2], [1, 62]], [[-1, 26], [-1, 38]], [[-1, 18], [-1, 46]], [[1, 14], [1, -14]], [[-1, 22], [-1, 42]], [[1, 18], [1, 46]], [[1, 6], [1, -6]], [[-1, 22], [-1, -22]], [[-1, 2], [-1, 62]], [[-1, 14], [-1, 50]], [[-1, 30], [-1, 34]], [[-1, 10], [-1, -10]], [[-1, 30], [-1, -30]], [[-1, 41], [1, 55]], [[-1, 43], [1, 53]], [[1, 41], [-1, 55]], [[-1, 15], [1, 17]], [[-1, 11], [1, 21]], [[-1, 7], [-1, 25]], [[1, 39], [1, 57]], [[-1, 39], [1, 57]], [[-1, 5], [-1, 27]], [[-1, 9], [-1, 23]], [[1, 47], [1, 49]], [[1, 3], [-1, 29]], [[1, 43], [-1, 53]], [[1, 7], [1, 25]], [[-1, 35], [-1, 61]], [[1, 7], [-1, 25]], [[1, 11], [1, 21]], [[-1, 13], [1, 19]], [[-1, 33], [-1, 63]], [[-1, 41], [-1, 55]], [[1, 15], [-1, 17]], [[-1, 5], [1, 27]], [[1, 39], [-1, 57]], [[1, 1], [1, 31]], [[-1, 37], [1, 59]], [[1, 15], [1, 17]], [[1, 1], [-1, 31]], [[-1, 43], [-1, 53]], [[1, 33], [-1, 63]], [[1, 45], [-1, 51]], [[1, 37], [1, 59]], [[-1, 35], [1, 61]], [[-1, 3], [-1, 29]], [[-1, 11], [-1, 21]], [[-1, 13], [-1, 19]], [[-1, 39], [-1, 57]], [[1, 9], [-1, 23]], [[-1, 9], [1, 23]], [[-1, 47], [1, 49]], [[1, 35], [1, 61]], [[1, 13], [-1, 19]], [[1, 37], [-1, 59]], [[1, 9], [1, 23]], [[-1, 1], [-1, 31]], [[1, 5], [1, 27]], [[-1, 45], [-1, 51]], [[-1, 33], [1, 63]], [[1, 47], [-1, 49]], [[-1, 37], [-1, 59]], [[1, 13], [1, 19]], [[1, 45], [1, 51]], [[1, 33], [1, 63]], [[-1, 45], [1, 51]], [[-1, 7], [1, 25]], [[1, 3], [1, 29]], [[-1, 3], [1, 29]], [[-1, 15], [-1, 17]], [[1, 35], [-1, 61]], [[1, 5], [-1, 27]], [[-1, 47], [-1, 49]], [[1, 11], [-1, 21]], [[-1, 1], [1, 31]], [[1, 43], [1, 53]], [[1, 41], [1, 55]]]}
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id: 7438172
{'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 120, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 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, 1], 'group': '512.2030', 'group_counter': 2030, 'group_order': 512, 'image': None, 'image_isoclass': '512.2030', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.2030.2k50', 'nt': [256, 64], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 32]], [[-2, 32]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, 48]], [[1, 16], [1, 48]], [[-1, 16], [-1, -16]], [[1, 16], [1, -16]], [[0, 0]], [[0, 0]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, 56]], [[1, 24], [1, 40]], [[1, 8], [1, 56]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[1, 28], [1, 36]], [[-1, 12], [-1, 52]], [[1, 20], [1, 44]], [[1, 4], [1, -4]], [[1, 12], [1, 52]], [[1, 28], [1, -28]], [[-1, 28], [-1, -28]], [[1, 4], [1, 60]], [[-1, 4], [-1, 60]], [[1, 12], [1, -12]], [[-1, 28], [-1, 36]], [[-1, 4], [-1, -4]], [[-1, 20], [-1, 44]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[1, 20], [1, -20]], [[-1, 2], [-1, -2]], [[1, 26], [1, -26]], [[1, 6], [1, 58]], [[1, 10], [1, 54]], [[-1, 18], [-1, -18]], [[-1, 30], [-1, -30]], [[1, 22], [1, -22]], [[1, 2], [1, 62]], [[1, 14], [1, 50]], [[-1, 26], [-1, -26]], [[-1, 2], [-1, 62]], [[-1, 6], [-1, -6]], [[-1, 22], [-1, -22]], [[1, 18], [1, -18]], [[-1, 14], [-1, -14]], [[-1, 18], [-1, 46]], [[1, 30], [1, 34]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, 50]], [[1, 26], [1, 38]], [[1, 18], [1, 46]], [[1, 22], [1, 42]], [[1, 10], [1, -10]], [[-1, 30], [-1, 34]], [[-1, 22], [-1, 42]], [[1, 14], [1, -14]], [[1, 30], [1, -30]], [[-1, 26], [-1, 38]], [[-1, 10], [-1, 54]], [[-1, 6], [-1, 58]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 11], [1, 21]], [[-1, 47], [-1, 49]], [[1, 11], [-1, 21]], [[-1, 3], [-1, 29]], [[1, 15], [1, 17]], [[-1, 5], [1, 27]], [[-1, 37], [1, 59]], [[1, 37], [1, 59]], [[-1, 1], [1, 31]], [[-1, 43], [-1, 53]], [[1, 35], [-1, 61]], [[-1, 39], [1, 57]], [[1, 47], [1, 49]], [[1, 5], [-1, 27]], [[-1, 7], [-1, 25]], [[1, 5], [1, 27]], [[1, 15], [-1, 17]], [[-1, 41], [1, 55]], [[-1, 45], [1, 51]], [[-1, 11], [-1, 21]], [[1, 3], [1, 29]], [[1, 1], [1, 31]], [[-1, 37], [-1, 59]], [[-1, 13], [1, 19]], [[-1, 33], [-1, 63]], [[-1, 3], [1, 29]], [[1, 13], [1, 19]], [[1, 47], [-1, 49]], [[-1, 45], [-1, 51]], [[1, 9], [-1, 23]], [[-1, 33], [1, 63]], [[1, 7], [-1, 25]], [[-1, 39], [-1, 57]], [[-1, 15], [1, 17]], [[1, 41], [1, 55]], [[1, 37], [-1, 59]], [[1, 43], [-1, 53]], [[-1, 43], [1, 53]], [[1, 35], [1, 61]], [[1, 7], [1, 25]], [[1, 41], [-1, 55]], [[1, 33], [1, 63]], [[1, 43], [1, 53]], [[1, 13], [-1, 19]], [[1, 1], [-1, 31]], [[1, 9], [1, 23]], [[1, 45], [1, 51]], [[-1, 35], [-1, 61]], [[1, 33], [-1, 63]], [[-1, 41], [-1, 55]], [[-1, 9], [-1, 23]], [[1, 45], [-1, 51]], [[-1, 9], [1, 23]], [[-1, 5], [-1, 27]], [[1, 39], [1, 57]], [[1, 39], [-1, 57]], [[1, 3], [-1, 29]], [[-1, 7], [1, 25]], [[-1, 1], [-1, 31]], [[-1, 35], [1, 61]], [[-1, 15], [-1, 17]], [[-1, 13], [-1, 19]], [[-1, 47], [1, 49]], [[1, 11], [1, 21]]]}
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id: 7438173
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id: 7438174
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id: 7438175
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id: 7438176
{'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 124, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 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, 1], 'group': '512.2030', 'group_counter': 2030, 'group_order': 512, 'image': None, 'image_isoclass': '512.2030', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.2030.2k54', 'nt': [256, 64], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 32]], [[-2, 32]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, 48]], [[1, 16], [1, 48]], [[-1, 16], [-1, -16]], [[1, 16], [1, -16]], [[0, 0]], [[0, 0]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, 56]], [[1, 24], [1, 40]], [[1, 8], [1, 56]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[1, 28], [1, 36]], [[-1, 12], [-1, 52]], [[1, 20], [1, 44]], [[1, 4], [1, -4]], [[1, 12], [1, 52]], [[1, 28], [1, -28]], [[-1, 28], [-1, -28]], [[1, 4], [1, 60]], [[-1, 4], [-1, 60]], [[1, 12], [1, -12]], [[-1, 28], [-1, 36]], [[-1, 4], [-1, -4]], [[-1, 20], [-1, 44]], [[-1, 20], [-1, -20]], [[-1, 12], [-1, -12]], [[1, 20], [1, -20]], [[1, 2], [1, -2]], [[-1, 26], [-1, -26]], [[-1, 6], [-1, 58]], [[-1, 10], [-1, 54]], [[1, 18], [1, -18]], [[1, 30], [1, -30]], [[-1, 22], [-1, -22]], [[-1, 2], [-1, 62]], [[-1, 14], [-1, 50]], [[1, 26], [1, -26]], [[1, 2], [1, 62]], [[1, 6], [1, -6]], [[1, 22], [1, -22]], [[-1, 18], [-1, -18]], [[1, 14], [1, -14]], [[1, 18], [1, 46]], [[-1, 30], [-1, 34]], [[1, 10], [1, -10]], [[1, 14], [1, 50]], [[-1, 26], [-1, 38]], [[-1, 18], [-1, 46]], [[-1, 22], [-1, 42]], [[-1, 10], [-1, -10]], [[1, 30], [1, 34]], [[1, 22], [1, 42]], [[-1, 14], [-1, -14]], [[-1, 30], [-1, -30]], [[1, 26], [1, 38]], [[1, 10], [1, 54]], [[1, 6], [1, 58]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 43], [1, 53]], [[-1, 15], [1, 17]], [[-1, 43], [-1, 53]], [[1, 35], [-1, 61]], [[-1, 47], [1, 49]], [[-1, 37], [-1, 59]], [[1, 5], [1, 27]], [[-1, 5], [1, 27]], [[-1, 33], [-1, 63]], [[-1, 11], [1, 21]], [[1, 3], [1, 29]], [[-1, 7], [-1, 25]], [[1, 15], [-1, 17]], [[1, 37], [1, 59]], [[1, 39], [-1, 57]], [[1, 37], [-1, 59]], [[-1, 47], [-1, 49]], [[1, 9], [1, 23]], [[1, 13], [1, 19]], [[1, 43], [-1, 53]], [[-1, 35], [1, 61]], [[1, 33], [-1, 63]], [[1, 5], [-1, 27]], [[-1, 45], [-1, 51]], [[1, 1], [-1, 31]], [[1, 35], [1, 61]], [[1, 45], [-1, 51]], [[1, 15], [1, 17]], [[1, 13], [-1, 19]], [[1, 41], [1, 55]], [[1, 1], [1, 31]], [[-1, 39], [-1, 57]], [[-1, 7], [1, 25]], [[1, 47], [1, 49]], [[-1, 9], [1, 23]], [[-1, 5], [-1, 27]], [[1, 11], [1, 21]], [[-1, 11], [-1, 21]], [[1, 3], [-1, 29]], [[-1, 39], [1, 57]], [[-1, 9], [-1, 23]], [[-1, 1], [1, 31]], [[1, 11], [-1, 21]], [[1, 45], [1, 51]], [[1, 33], [1, 63]], [[1, 41], [-1, 55]], [[-1, 13], [1, 19]], [[-1, 3], [1, 29]], [[-1, 1], [-1, 31]], [[1, 9], [-1, 23]], [[-1, 41], [1, 55]], [[-1, 13], [-1, 19]], [[-1, 41], [-1, 55]], [[-1, 37], [1, 59]], [[1, 7], [-1, 25]], [[1, 7], [1, 25]], [[-1, 35], [-1, 61]], [[1, 39], [1, 57]], [[-1, 33], [1, 63]], [[-1, 3], [-1, 29]], [[1, 47], [-1, 49]], [[-1, 45], [1, 51]], [[-1, 15], [-1, 17]], [[-1, 43], [1, 53]]]}
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id: 7438177
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id: 7438178
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id: 7438179
{'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 127, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 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, 1], 'group': '512.2030', 'group_counter': 2030, 'group_order': 512, 'image': None, 'image_isoclass': '512.2030', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.2030.2k57', 'nt': [256, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 32]], [[2, 32]], [[0, 0]], [[0, 0]], [[1, 16], [1, 48]], [[-1, 16], [-1, 48]], [[-1, 16], [-1, -16]], [[1, 16], [1, -16]], [[0, 0]], [[0, 0]], [[1, 24], [1, 40]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[1, 8], [1, 56]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, 56]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[1, 28], [1, 36]], [[-1, 12], [-1, 52]], [[1, 20], [1, 44]], [[-1, 4], [-1, -4]], [[1, 12], [1, 52]], [[-1, 28], [-1, -28]], [[1, 28], [1, -28]], [[1, 4], [1, 60]], [[-1, 4], [-1, 60]], [[-1, 12], [-1, -12]], [[-1, 28], [-1, 36]], [[1, 4], [1, -4]], [[-1, 20], [-1, 44]], [[1, 20], [1, -20]], [[1, 12], [1, -12]], [[-1, 20], [-1, -20]], [[-1, 30], [-1, -30]], [[1, 6], [1, -6]], [[-1, 26], [-1, 38]], [[1, 22], [1, 42]], [[-1, 14], [-1, -14]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 30], [1, 34]], [[-1, 18], [-1, 46]], [[-1, 6], [-1, -6]], [[-1, 30], [-1, 34]], [[1, 26], [1, -26]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[-1, 14], [-1, 50]], [[-1, 2], [-1, 62]], [[-1, 22], [-1, -22]], [[1, 18], [1, 46]], [[1, 6], [1, 58]], [[1, 14], [1, 50]], [[-1, 10], [-1, 54]], [[1, 22], [1, -22]], [[1, 2], [1, 62]], [[1, 10], [1, 54]], [[-1, 18], [-1, -18]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, 58]], [[-1, 22], [-1, 42]], [[1, 26], [1, 38]], [[1, 30], [1, -30]], [[-1, 26], [-1, -26]], [[-1, 37], [1, 59]], [[1, 1], [1, 31]], [[1, 37], [-1, 59]], [[-1, 45], [-1, 51]], [[-1, 33], [-1, 63]], [[1, 11], [1, 21]], [[-1, 43], [-1, 53]], [[1, 43], [-1, 53]], [[-1, 15], [-1, 17]], [[-1, 5], [-1, 27]], [[1, 13], [-1, 19]], [[1, 9], [-1, 23]], [[-1, 1], [-1, 31]], [[-1, 11], [-1, 21]], [[1, 41], [1, 55]], [[-1, 11], [1, 21]], [[-1, 33], [1, 63]], [[1, 39], [1, 57]], [[-1, 35], [-1, 61]], [[-1, 37], [-1, 59]], [[1, 45], [1, 51]], [[1, 15], [-1, 17]], [[-1, 43], [1, 53]], [[1, 3], [1, 29]], [[1, 47], [-1, 49]], [[-1, 45], [1, 51]], [[-1, 3], [1, 29]], [[-1, 1], [1, 31]], [[-1, 35], [1, 61]], [[1, 7], [1, 25]], [[1, 47], [1, 49]], [[-1, 41], [1, 55]], [[1, 9], [1, 23]], [[1, 33], [-1, 63]], [[-1, 39], [1, 57]], [[1, 43], [1, 53]], [[1, 5], [-1, 27]], [[-1, 5], [1, 27]], [[1, 13], [1, 19]], [[-1, 41], [-1, 55]], [[-1, 39], [-1, 57]], [[-1, 47], [1, 49]], [[1, 5], [1, 27]], [[-1, 3], [-1, 29]], [[1, 15], [1, 17]], [[1, 7], [-1, 25]], [[1, 35], [-1, 61]], [[-1, 13], [-1, 19]], [[-1, 47], [-1, 49]], [[1, 39], [-1, 57]], [[-1, 7], [1, 25]], [[1, 35], [1, 61]], [[-1, 7], [-1, 25]], [[1, 11], [-1, 21]], [[-1, 9], [-1, 23]], [[-1, 9], [1, 23]], [[1, 45], [-1, 51]], [[1, 41], [-1, 55]], [[-1, 15], [1, 17]], [[-1, 13], [1, 19]], [[1, 33], [1, 63]], [[1, 3], [-1, 29]], [[1, 1], [-1, 31]], [[1, 37], [1, 59]]]}
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id: 7438180
{'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 128, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 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, 1], 'group': '512.2030', 'group_counter': 2030, 'group_order': 512, 'image': None, 'image_isoclass': '512.2030', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.2030.2k58', 'nt': [256, 64], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 32]], [[-2, 32]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, 48]], [[1, 16], [1, 48]], [[-1, 16], [-1, -16]], [[1, 16], [1, -16]], [[0, 0]], [[0, 0]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, 56]], [[1, 24], [1, 40]], [[1, 8], [1, 56]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[-1, 28], [-1, 36]], [[1, 12], [1, 52]], [[-1, 20], [-1, 44]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, 52]], [[-1, 28], [-1, -28]], [[1, 28], [1, -28]], [[-1, 4], [-1, 60]], [[1, 4], [1, 60]], [[-1, 12], [-1, -12]], [[1, 28], [1, 36]], [[1, 4], [1, -4]], [[1, 20], [1, 44]], [[1, 20], [1, -20]], [[1, 12], [1, -12]], [[-1, 20], [-1, -20]], [[-1, 30], [-1, -30]], [[1, 6], [1, -6]], [[1, 26], [1, 38]], [[-1, 22], [-1, 42]], [[-1, 14], [-1, -14]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[-1, 30], [-1, 34]], [[1, 18], [1, 46]], [[-1, 6], [-1, -6]], [[1, 30], [1, 34]], [[1, 26], [1, -26]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[1, 14], [1, 50]], [[1, 2], [1, 62]], [[-1, 22], [-1, -22]], [[-1, 18], [-1, 46]], [[-1, 6], [-1, 58]], [[-1, 14], [-1, 50]], [[1, 10], [1, 54]], [[1, 22], [1, -22]], [[-1, 2], [-1, 62]], [[-1, 10], [-1, 54]], [[-1, 18], [-1, -18]], [[-1, 2], [-1, -2]], [[1, 6], [1, 58]], [[1, 22], [1, 42]], [[-1, 26], [-1, 38]], [[1, 30], [1, -30]], [[-1, 26], [-1, -26]], [[-1, 5], [1, 27]], [[-1, 33], [-1, 63]], [[1, 5], [-1, 27]], [[1, 13], [1, 19]], [[1, 1], [1, 31]], [[-1, 43], [-1, 53]], [[1, 11], [1, 21]], [[1, 11], [-1, 21]], [[1, 47], [1, 49]], [[1, 37], [1, 59]], [[1, 45], [-1, 51]], [[1, 41], [-1, 55]], [[1, 33], [1, 63]], [[1, 43], [1, 53]], [[-1, 9], [-1, 23]], [[-1, 43], [1, 53]], [[-1, 1], [1, 31]], [[-1, 7], [-1, 25]], [[1, 3], [1, 29]], [[1, 5], [1, 27]], [[-1, 13], [-1, 19]], [[1, 47], [-1, 49]], [[-1, 11], [1, 21]], [[-1, 35], [-1, 61]], [[1, 15], [-1, 17]], [[-1, 13], [1, 19]], [[-1, 35], [1, 61]], [[-1, 33], [1, 63]], [[-1, 3], [1, 29]], [[-1, 39], [-1, 57]], [[-1, 15], [-1, 17]], [[-1, 9], [1, 23]], [[-1, 41], [-1, 55]], [[1, 1], [-1, 31]], [[-1, 7], [1, 25]], [[-1, 11], [-1, 21]], [[1, 37], [-1, 59]], [[-1, 37], [1, 59]], [[-1, 45], [-1, 51]], [[1, 9], [1, 23]], [[1, 7], [1, 25]], [[-1, 15], [1, 17]], [[-1, 37], [-1, 59]], [[1, 35], [1, 61]], [[-1, 47], [-1, 49]], [[1, 39], [-1, 57]], [[1, 3], [-1, 29]], [[1, 45], [1, 51]], [[1, 15], [1, 17]], [[1, 7], [-1, 25]], [[-1, 39], [1, 57]], [[-1, 3], [-1, 29]], [[1, 39], [1, 57]], [[1, 43], [-1, 53]], [[1, 41], [1, 55]], [[-1, 41], [1, 55]], [[1, 13], [-1, 19]], [[1, 9], [-1, 23]], [[-1, 47], [1, 49]], [[-1, 45], [1, 51]], [[-1, 1], [-1, 31]], [[1, 35], [-1, 61]], [[1, 33], [-1, 63]], [[-1, 5], [-1, 27]]]}
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id: 7438181
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id: 7438256
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id: 7438183
{'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 130, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 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, 1], 'group': '512.2030', 'group_counter': 2030, 'group_order': 512, 'image': None, 'image_isoclass': '512.2030', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.2030.2k60', 'nt': [256, 64], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 32]], [[-2, 32]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, 48]], [[1, 16], [1, 48]], [[-1, 16], [-1, -16]], [[1, 16], [1, -16]], [[0, 0]], [[0, 0]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[-1, 8], [-1, 56]], [[1, 24], [1, 40]], [[1, 8], [1, 56]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[-1, 28], [-1, 36]], [[1, 12], [1, 52]], [[-1, 20], [-1, 44]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, 52]], [[-1, 28], [-1, -28]], [[1, 28], [1, -28]], [[-1, 4], [-1, 60]], [[1, 4], [1, 60]], [[-1, 12], [-1, -12]], [[1, 28], [1, 36]], [[1, 4], [1, -4]], [[1, 20], [1, 44]], [[1, 20], [1, -20]], [[1, 12], [1, -12]], [[-1, 20], [-1, -20]], [[-1, 30], [-1, -30]], [[1, 6], [1, -6]], [[1, 26], [1, 38]], [[-1, 22], [-1, 42]], [[-1, 14], [-1, -14]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[-1, 30], [-1, 34]], [[1, 18], [1, 46]], [[-1, 6], [-1, -6]], [[1, 30], [1, 34]], [[1, 26], [1, -26]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 18], [1, -18]], [[1, 14], [1, 50]], [[1, 2], [1, 62]], [[-1, 22], [-1, -22]], [[-1, 18], [-1, 46]], [[-1, 6], [-1, 58]], [[-1, 14], [-1, 50]], [[1, 10], [1, 54]], [[1, 22], [1, -22]], [[-1, 2], [-1, 62]], [[-1, 10], [-1, 54]], [[-1, 18], [-1, -18]], [[-1, 2], [-1, -2]], [[1, 6], [1, 58]], [[1, 22], [1, 42]], [[-1, 26], [-1, 38]], [[1, 30], [1, -30]], [[-1, 26], [-1, -26]], [[1, 5], [-1, 27]], [[1, 33], [1, 63]], [[-1, 5], [1, 27]], [[-1, 13], [-1, 19]], [[-1, 1], [-1, 31]], [[1, 43], [1, 53]], [[-1, 11], [-1, 21]], [[-1, 11], [1, 21]], [[-1, 47], [-1, 49]], [[-1, 37], [-1, 59]], [[-1, 45], [1, 51]], [[-1, 41], [1, 55]], [[-1, 33], [-1, 63]], [[-1, 43], [-1, 53]], [[1, 9], [1, 23]], [[1, 43], [-1, 53]], [[1, 1], [-1, 31]], [[1, 7], [1, 25]], [[-1, 3], [-1, 29]], [[-1, 5], [-1, 27]], [[1, 13], [1, 19]], [[-1, 47], [1, 49]], [[1, 11], [-1, 21]], [[1, 35], [1, 61]], [[-1, 15], [1, 17]], [[1, 13], [-1, 19]], [[1, 35], [-1, 61]], [[1, 33], [-1, 63]], [[1, 3], [-1, 29]], [[1, 39], [1, 57]], [[1, 15], [1, 17]], [[1, 9], [-1, 23]], [[1, 41], [1, 55]], [[-1, 1], [1, 31]], [[1, 7], [-1, 25]], [[1, 11], [1, 21]], [[-1, 37], [1, 59]], [[1, 37], [-1, 59]], [[1, 45], [1, 51]], [[-1, 9], [-1, 23]], [[-1, 7], [-1, 25]], [[1, 15], [-1, 17]], [[1, 37], [1, 59]], [[-1, 35], [-1, 61]], [[1, 47], [1, 49]], [[-1, 39], [1, 57]], [[-1, 3], [1, 29]], [[-1, 45], [-1, 51]], [[-1, 15], [-1, 17]], [[-1, 7], [1, 25]], [[1, 39], [-1, 57]], [[1, 3], [1, 29]], [[-1, 39], [-1, 57]], [[-1, 43], [1, 53]], [[-1, 41], [-1, 55]], [[1, 41], [-1, 55]], [[-1, 13], [1, 19]], [[-1, 9], [1, 23]], [[1, 47], [-1, 49]], [[1, 45], [-1, 51]], [[1, 1], [1, 31]], [[-1, 35], [1, 61]], [[-1, 33], [1, 63]], [[1, 5], [1, 27]]]}
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id: 7438184
{'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 131, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 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, 1], 'group': '512.2030', 'group_counter': 2030, 'group_order': 512, 'image': None, 'image_isoclass': '512.2030', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.2030.2k61', 'nt': [256, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 32]], [[2, 32]], [[0, 0]], [[0, 0]], [[1, 16], [1, 48]], [[-1, 16], [-1, 48]], [[-1, 16], [-1, -16]], [[1, 16], [1, -16]], [[0, 0]], [[0, 0]], [[1, 24], [1, 40]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, -24]], [[1, 8], [1, 56]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, 56]], [[1, 24], [1, -24]], [[1, 8], [1, -8]], [[1, 28], [1, 36]], [[-1, 12], [-1, 52]], [[1, 20], [1, 44]], [[-1, 4], [-1, -4]], [[1, 12], [1, 52]], [[-1, 28], [-1, -28]], [[1, 28], [1, -28]], [[1, 4], [1, 60]], [[-1, 4], [-1, 60]], [[-1, 12], [-1, -12]], [[-1, 28], [-1, 36]], [[1, 4], [1, -4]], [[-1, 20], [-1, 44]], [[1, 20], [1, -20]], [[1, 12], [1, -12]], [[-1, 20], [-1, -20]], [[1, 30], [1, -30]], [[-1, 6], [-1, -6]], [[1, 26], [1, 38]], [[-1, 22], [-1, 42]], [[1, 14], [1, -14]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 30], [-1, 34]], [[1, 18], [1, 46]], [[1, 6], [1, -6]], [[1, 30], [1, 34]], [[-1, 26], [-1, -26]], [[-1, 10], [-1, -10]], [[-1, 14], [-1, -14]], [[-1, 18], [-1, -18]], [[1, 14], [1, 50]], [[1, 2], [1, 62]], [[1, 22], [1, -22]], [[-1, 18], [-1, 46]], [[-1, 6], [-1, 58]], [[-1, 14], [-1, 50]], [[1, 10], [1, 54]], [[-1, 22], [-1, -22]], [[-1, 2], [-1, 62]], [[-1, 10], [-1, 54]], [[1, 18], [1, -18]], [[1, 2], [1, -2]], [[1, 6], [1, 58]], [[1, 22], [1, 42]], [[-1, 26], [-1, 38]], [[-1, 30], [-1, -30]], [[1, 26], [1, -26]], [[-1, 5], [-1, 27]], [[-1, 33], [1, 63]], [[1, 5], [1, 27]], [[-1, 13], [1, 19]], [[-1, 1], [1, 31]], [[1, 43], [-1, 53]], [[1, 11], [-1, 21]], [[-1, 11], [-1, 21]], [[-1, 47], [1, 49]], [[1, 37], [-1, 59]], [[-1, 45], [-1, 51]], [[-1, 41], [-1, 55]], [[1, 33], [-1, 63]], [[-1, 43], [1, 53]], [[1, 9], [-1, 23]], [[-1, 43], [-1, 53]], [[-1, 1], [-1, 31]], [[-1, 7], [1, 25]], [[1, 3], [-1, 29]], [[-1, 5], [1, 27]], [[1, 13], [-1, 19]], [[1, 47], [1, 49]], [[1, 11], [1, 21]], [[1, 35], [-1, 61]], [[-1, 15], [-1, 17]], [[-1, 13], [-1, 19]], [[-1, 35], [-1, 61]], [[1, 33], [1, 63]], [[1, 3], [1, 29]], [[1, 39], [-1, 57]], [[-1, 15], [1, 17]], [[-1, 9], [-1, 23]], [[-1, 41], [1, 55]], [[1, 1], [1, 31]], [[1, 7], [1, 25]], [[-1, 11], [1, 21]], [[-1, 37], [-1, 59]], [[1, 37], [1, 59]], [[-1, 45], [1, 51]], [[-1, 9], [1, 23]], [[1, 7], [-1, 25]], [[1, 15], [1, 17]], [[-1, 37], [1, 59]], [[-1, 35], [1, 61]], [[1, 47], [-1, 49]], [[1, 39], [1, 57]], [[-1, 3], [-1, 29]], [[1, 45], [-1, 51]], [[1, 15], [-1, 17]], [[-1, 7], [-1, 25]], [[-1, 39], [-1, 57]], [[-1, 3], [1, 29]], [[-1, 39], [1, 57]], [[1, 43], [1, 53]], [[1, 41], [-1, 55]], [[1, 41], [1, 55]], [[1, 13], [1, 19]], [[1, 9], [1, 23]], [[-1, 47], [-1, 49]], [[1, 45], [1, 51]], [[1, 1], [-1, 31]], [[1, 35], [1, 61]], [[-1, 33], [-1, 63]], [[1, 5], [-1, 27]]]}
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id: 7438185
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id: 7438186
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id: 7438187
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id: 7438257
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id: 7438258
{'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 78, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 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, 1], 'group': '512.2030', 'group_counter': 2030, 'group_order': 512, 'image': None, 'image_isoclass': '512.2030', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.2030.2k8', 'nt': [256, 64], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 32]], [[-2, 32]], [[0, 0]], [[0, 0]], [[1, 16], [1, 48]], [[-1, 16], [-1, 48]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[0, 0]], [[0, 0]], [[1, 8], [1, 56]], [[1, 24], [1, -24]], [[-1, 8], [-1, -8]], [[-1, 24], [-1, 40]], [[-1, 8], [-1, 56]], [[1, 24], [1, 40]], [[1, 8], [1, -8]], [[-1, 24], [-1, -24]], [[1, 12], [1, 52]], [[-1, 4], [-1, 60]], [[-1, 28], [-1, 36]], [[1, 20], [1, -20]], [[1, 4], [1, 60]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[1, 20], [1, 44]], [[-1, 20], [-1, 44]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, 52]], [[-1, 20], [-1, -20]], [[1, 28], [1, 36]], [[-1, 28], [-1, -28]], [[1, 4], [1, -4]], [[1, 28], [1, -28]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 30], [-1, 34]], [[-1, 14], [-1, 50]], [[-1, 26], [-1, -26]], [[1, 22], [1, -22]], [[-1, 18], [-1, -18]], [[-1, 10], [-1, 54]], [[1, 6], [1, 58]], [[1, 2], [1, -2]], [[1, 10], [1, 54]], [[1, 30], [1, -30]], [[1, 18], [1, -18]], [[1, 26], [1, -26]], [[-1, 6], [-1, -6]], [[-1, 26], [-1, 38]], [[-1, 22], [-1, 42]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, 58]], [[-1, 2], [-1, 62]], [[1, 26], [1, 38]], [[1, 18], [1, 46]], [[1, 14], [1, -14]], [[1, 22], [1, 42]], [[-1, 18], [-1, 46]], [[1, 6], [1, -6]], [[-1, 22], [-1, -22]], [[1, 2], [1, 62]], [[1, 14], [1, 50]], [[1, 30], [1, 34]], [[-1, 10], [-1, -10]], [[-1, 30], [-1, -30]], [[1, 9], [-1, 23]], [[1, 11], [-1, 21]], [[-1, 9], [1, 23]], [[1, 47], [-1, 49]], [[1, 43], [-1, 53]], [[-1, 39], [-1, 57]], [[1, 7], [1, 25]], [[1, 7], [-1, 25]], [[-1, 37], [-1, 59]], [[-1, 41], [-1, 55]], [[1, 15], [1, 17]], [[-1, 35], [1, 61]], [[-1, 11], [1, 21]], [[1, 39], [1, 57]], [[-1, 3], [-1, 29]], [[-1, 39], [1, 57]], [[1, 43], [1, 53]], [[1, 45], [-1, 51]], [[-1, 1], [-1, 31]], [[-1, 9], [-1, 23]], [[-1, 47], [1, 49]], [[1, 37], [-1, 59]], [[-1, 7], [1, 25]], [[1, 33], [1, 63]], [[1, 5], [-1, 27]], [[1, 47], [1, 49]], [[-1, 33], [1, 63]], [[-1, 11], [-1, 21]], [[-1, 1], [1, 31]], [[-1, 13], [1, 19]], [[1, 5], [1, 27]], [[1, 3], [-1, 29]], [[-1, 35], [-1, 61]], [[-1, 43], [-1, 53]], [[-1, 45], [-1, 51]], [[-1, 7], [-1, 25]], [[-1, 41], [1, 55]], [[1, 41], [-1, 55]], [[1, 15], [-1, 17]], [[1, 3], [1, 29]], [[-1, 45], [1, 51]], [[-1, 5], [1, 27]], [[1, 41], [1, 55]], [[-1, 33], [-1, 63]], [[1, 37], [1, 59]], [[-1, 13], [-1, 19]], [[1, 1], [-1, 31]], [[-1, 15], [1, 17]], [[-1, 5], [-1, 27]], [[1, 45], [1, 51]], [[1, 13], [1, 19]], [[1, 1], [1, 31]], [[1, 13], [-1, 19]], [[1, 39], [-1, 57]], [[1, 35], [1, 61]], [[1, 35], [-1, 61]], [[-1, 47], [-1, 49]], [[-1, 3], [1, 29]], [[-1, 37], [1, 59]], [[-1, 15], [-1, 17]], [[-1, 43], [1, 53]], [[1, 33], [-1, 63]], [[1, 11], [1, 21]], [[1, 9], [1, 23]]]}
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id: 7438259
{'center': '128.b1.a1', 'center_index': 128, 'center_order': 4, 'counter': 79, 'cyclotomic_n': 128, 'dim': 2, 'faithful': True, 'field': [1, 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, 1], 'group': '512.2030', 'group_counter': 2030, 'group_order': 512, 'image': None, 'image_isoclass': '512.2030', 'image_order': 512, 'indicator': 0, 'kernel': '512.a1.a1', 'kernel_order': 1, 'label': '512.2030.2k9', 'nt': [256, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 32]], [[2, 32]], [[0, 0]], [[0, 0]], [[-1, 16], [-1, 48]], [[1, 16], [1, 48]], [[1, 16], [1, -16]], [[-1, 16], [-1, -16]], [[0, 0]], [[0, 0]], [[-1, 8], [-1, 56]], [[1, 24], [1, -24]], [[-1, 8], [-1, -8]], [[1, 24], [1, 40]], [[1, 8], [1, 56]], [[-1, 24], [-1, 40]], [[1, 8], [1, -8]], [[-1, 24], [-1, -24]], [[1, 12], [1, 52]], [[-1, 4], [-1, 60]], [[-1, 28], [-1, 36]], [[-1, 20], [-1, -20]], [[1, 4], [1, 60]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[1, 20], [1, 44]], [[-1, 20], [-1, 44]], [[1, 4], [1, -4]], [[-1, 12], [-1, 52]], [[1, 20], [1, -20]], [[1, 28], [1, 36]], [[1, 28], [1, -28]], [[-1, 4], [-1, -4]], [[-1, 28], [-1, -28]], [[-1, 22], [-1, -22]], [[1, 30], [1, -30]], [[-1, 2], [-1, 62]], [[-1, 18], [-1, 46]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 14], [1, -14]], [[1, 22], [1, 42]], [[1, 26], [1, 38]], [[-1, 30], [-1, -30]], [[-1, 22], [-1, 42]], [[1, 2], [1, -2]], [[-1, 14], [-1, -14]], [[-1, 6], [-1, -6]], [[-1, 26], [-1, -26]], [[1, 6], [1, 58]], [[-1, 10], [-1, 54]], [[-1, 18], [-1, -18]], [[-1, 26], [-1, 38]], [[1, 30], [1, 34]], [[-1, 6], [-1, 58]], [[-1, 14], [-1, 50]], [[1, 18], [1, -18]], [[1, 10], [1, 54]], [[1, 14], [1, 50]], [[1, 26], [1, -26]], [[-1, 10], [-1, -10]], [[-1, 30], [-1, 34]], [[1, 18], [1, 46]], [[1, 2], [1, 62]], [[1, 22], [1, -22]], [[-1, 2], [-1, -2]], [[-1, 39], [1, 57]], [[-1, 5], [-1, 27]], [[1, 39], [-1, 57]], [[-1, 33], [-1, 63]], [[1, 37], [1, 59]], [[1, 41], [-1, 55]], [[1, 9], [-1, 23]], [[1, 9], [1, 23]], [[-1, 11], [-1, 21]], [[1, 7], [1, 25]], [[1, 1], [-1, 31]], [[-1, 45], [-1, 51]], [[1, 5], [1, 27]], [[-1, 41], [1, 55]], [[1, 13], [-1, 19]], [[1, 41], [1, 55]], [[1, 37], [-1, 59]], [[1, 3], [-1, 29]], [[1, 47], [1, 49]], [[1, 39], [1, 57]], [[1, 33], [1, 63]], [[1, 11], [-1, 21]], [[-1, 9], [-1, 23]], [[-1, 15], [-1, 17]], [[1, 43], [-1, 53]], [[-1, 33], [1, 63]], [[1, 15], [-1, 17]], [[1, 5], [-1, 27]], [[1, 47], [-1, 49]], [[-1, 35], [1, 61]], [[1, 43], [1, 53]], [[-1, 13], [-1, 19]], [[-1, 45], [1, 51]], [[-1, 37], [1, 59]], [[-1, 3], [-1, 29]], [[-1, 9], [1, 23]], [[1, 7], [-1, 25]], [[-1, 7], [1, 25]], [[1, 1], [1, 31]], [[-1, 13], [1, 19]], [[-1, 3], [1, 29]], [[-1, 43], [1, 53]], [[-1, 7], [-1, 25]], [[1, 15], [1, 17]], [[1, 11], [1, 21]], [[-1, 35], [-1, 61]], [[-1, 47], [1, 49]], [[-1, 1], [-1, 31]], [[-1, 43], [-1, 53]], [[1, 3], [1, 29]], [[1, 35], [1, 61]], [[-1, 47], [-1, 49]], [[1, 35], [-1, 61]], [[-1, 41], [-1, 55]], [[1, 45], [-1, 51]], [[1, 45], [1, 51]], [[1, 33], [-1, 63]], [[1, 13], [1, 19]], [[-1, 11], [1, 21]], [[-1, 1], [1, 31]], [[-1, 37], [-1, 59]], [[-1, 15], [1, 17]], [[-1, 5], [1, 27]], [[-1, 39], [-1, 57]]]}
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gps_subgroup_search • Show schema
Hide schema
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id: 67210017
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 512, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 2, 'label': '512.2030.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, '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': '512.2030', 'subgroup_hash': 8082150155512058976, 'subgroup_order': 512, 'subgroup_tex': 'C_4.D_{64}', 'supersolvable': True, 'sylow': 2}
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id: 67210028
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 256, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.2030.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, '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': '256.6729', 'subgroup_hash': 6729, 'subgroup_order': 256, 'subgroup_tex': 'D_{64}:C_2', 'supersolvable': True, 'sylow': 0}
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id: 67210039
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 256, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.2030.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.b1.a1', 'outer_equivalence': False, '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': '256.535', 'subgroup_hash': 535, 'subgroup_order': 256, 'subgroup_tex': 'C_{64}.C_4', 'supersolvable': True, 'sylow': 0}
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id: 67210050
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 256, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.2030.2.c1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.c1.a1', 'outer_equivalence': False, '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': '256.537', 'subgroup_hash': 537, 'subgroup_order': 256, 'subgroup_tex': 'C_2\\times C_{128}', 'supersolvable': True, 'sylow': 0}
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id: 67210061
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 128, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.2030.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, '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': ['Phi', 'U1', 'C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '128.159', 'subgroup_hash': 159, 'subgroup_order': 128, 'subgroup_tex': 'C_2\\times C_{64}', 'supersolvable': True, 'sylow': 0}
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id: 67210065
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 128, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.2030.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '128.161', 'subgroup_hash': 161, 'subgroup_order': 128, 'subgroup_tex': 'D_{64}', 'supersolvable': True, 'sylow': 0}
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id: 67210066
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 128, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.2030.4.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '128.163', 'subgroup_hash': 163, 'subgroup_order': 128, 'subgroup_tex': 'Q_{128}', 'supersolvable': True, 'sylow': 0}
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id: 67210067
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 64, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.2030.4.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.d1.a1', 'outer_equivalence': False, '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': '128.994', 'subgroup_hash': 994, 'subgroup_order': 128, 'subgroup_tex': 'D_{32}:C_2', 'supersolvable': True, 'sylow': 0}
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id: 67210068
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 64, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.2030.4.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.e1.a1', 'outer_equivalence': False, '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': '128.157', 'subgroup_hash': 157, 'subgroup_order': 128, 'subgroup_tex': 'C_{32}.C_4', 'supersolvable': True, 'sylow': 0}
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id: 67210018
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 64, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.2030.4.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.f1.a1', 'outer_equivalence': False, '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': '128.162', 'subgroup_hash': 162, 'subgroup_order': 128, 'subgroup_tex': '\\SD_{128}', 'supersolvable': True, 'sylow': 0}
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id: 67210019
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 64, 'counter': 11, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '512.2030.4.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.g1.a1', 'outer_equivalence': False, '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': '128.1', 'subgroup_hash': 1, 'subgroup_order': 128, 'subgroup_tex': 'C_{128}', 'supersolvable': True, 'sylow': 0}
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id: 67210020
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 64, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.2030.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, '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': ['U2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '64.50', 'subgroup_hash': 50, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_{32}', 'supersolvable': True, 'sylow': 0}
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id: 67210021
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 64, 'counter': 13, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '512.2030.8.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '64.1', 'subgroup_hash': 1, 'subgroup_order': 64, 'subgroup_tex': 'C_{64}', 'supersolvable': True, 'sylow': 0}
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id: 67210022
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 64, 'counter': 14, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '512.2030.8.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.c1.a1', 'outer_equivalence': False, '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': '64.1', 'subgroup_hash': 1, 'subgroup_order': 64, 'subgroup_tex': 'C_{64}', 'supersolvable': True, 'sylow': 0}
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id: 67210023
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.2030.8.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.d1.a1', 'outer_equivalence': False, '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': '64.189', 'subgroup_hash': 189, 'subgroup_order': 64, 'subgroup_tex': 'D_{16}:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 67210024
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.2030.8.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.e1.a1', 'outer_equivalence': False, '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': '64.49', 'subgroup_hash': 49, 'subgroup_order': 64, 'subgroup_tex': 'C_{16}.C_4', 'supersolvable': True, 'sylow': 0}
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id: 67210025
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.2030.8.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.f1.a1', 'outer_equivalence': False, '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': '64.53', 'subgroup_hash': 53, 'subgroup_order': 64, 'subgroup_tex': '\\SD_{64}', 'supersolvable': True, 'sylow': 0}
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id: 67210026
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.2030.8.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.g1.a1', 'outer_equivalence': False, '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': '64.52', 'subgroup_hash': 52, 'subgroup_order': 64, 'subgroup_tex': 'D_{32}', 'supersolvable': True, 'sylow': 0}
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id: 67210027
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.2030.8.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.h1.a1', 'outer_equivalence': False, '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': '64.54', 'subgroup_hash': 54, 'subgroup_order': 64, 'subgroup_tex': 'Q_{64}', 'supersolvable': True, 'sylow': 0}
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id: 67210029
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 32, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.2030.16.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.7', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8', 'simple': False, 'solvable': True, 'special_labels': ['U3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
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id: 67210030
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 32, 'counter': 21, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '512.2030.16.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\SD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.1', 'subgroup_hash': 1, 'subgroup_order': 32, 'subgroup_tex': 'C_{32}', 'supersolvable': True, 'sylow': 0}
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id: 67210031
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 32, 'counter': 22, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '512.2030.16.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': ['L2', 'C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.1', 'subgroup_hash': 1, 'subgroup_order': 32, 'subgroup_tex': 'C_{32}', 'supersolvable': True, 'sylow': 0}
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id: 67210032
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.2030.16.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.d1.a1', 'outer_equivalence': False, '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': '32.42', 'subgroup_hash': 42, 'subgroup_order': 32, 'subgroup_tex': 'D_8:C_2', 'supersolvable': True, 'sylow': 0}
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id: 67210033
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.2030.16.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.e1.a1', 'outer_equivalence': False, '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': '32.15', 'subgroup_hash': 15, 'subgroup_order': 32, 'subgroup_tex': 'C_8.C_4', 'supersolvable': True, 'sylow': 0}
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id: 67210034
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.2030.16.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.f1.a1', 'outer_equivalence': False, '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': '32.19', 'subgroup_hash': 19, 'subgroup_order': 32, 'subgroup_tex': '\\SD_{32}', 'supersolvable': True, 'sylow': 0}
-
id: 67210035
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.2030.16.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.g1.a1', 'outer_equivalence': False, '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': '32.18', 'subgroup_hash': 18, 'subgroup_order': 32, 'subgroup_tex': 'D_{16}', 'supersolvable': True, 'sylow': 0}
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id: 67210036
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.2030.16.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.h1.a1', 'outer_equivalence': False, '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': '32.20', 'subgroup_hash': 20, 'subgroup_order': 32, 'subgroup_tex': 'Q_{32}', 'supersolvable': True, 'sylow': 0}
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id: 67210037
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 16, 'counter': 28, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.2030.32.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.18', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 18, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{16}', 'simple': False, 'solvable': True, 'special_labels': ['U4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 67210038
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 16, 'counter': 29, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '512.2030.32.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.19', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 19, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\SD_{32}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 67210040
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 16, 'counter': 30, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '512.2030.32.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.9', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_4', 'simple': False, 'solvable': True, 'special_labels': ['L3', 'C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 67210041
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.2030.32.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.d1.a1', 'outer_equivalence': False, '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': 32, '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': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
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id: 67210042
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.2030.32.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.e1.a1', 'outer_equivalence': False, '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': 32, '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': '16.6', 'subgroup_hash': 6, 'subgroup_order': 16, 'subgroup_tex': '\\OD_{16}', 'supersolvable': True, 'sylow': 0}
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id: 67210043
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.2030.32.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.f1.a1', 'outer_equivalence': False, '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': 32, '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': '16.8', 'subgroup_hash': 8, 'subgroup_order': 16, 'subgroup_tex': '\\SD_{16}', 'supersolvable': True, 'sylow': 0}
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id: 67210044
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.2030.32.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.g1.a1', 'outer_equivalence': False, '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': 32, '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': '16.7', 'subgroup_hash': 7, 'subgroup_order': 16, 'subgroup_tex': 'D_8', 'supersolvable': True, 'sylow': 0}
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id: 67210045
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.2030.32.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.h1.a1', 'outer_equivalence': False, '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': 32, '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': '16.9', 'subgroup_hash': 9, 'subgroup_order': 16, 'subgroup_tex': 'Q_{16}', 'supersolvable': True, 'sylow': 0}
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id: 67210046
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 8, 'counter': 36, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.2030.64.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.52', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 52, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{32}', 'simple': False, 'solvable': True, 'special_labels': ['U5'], '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: 67210047
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 8, 'counter': 37, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '512.2030.64.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.53', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 53, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\SD_{64}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
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id: 67210048
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 8, 'counter': 38, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '512.2030.64.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.38', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 38, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8:C_4', 'simple': False, 'solvable': True, 'special_labels': ['L4', 'C6'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
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id: 67210049
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.2030.64.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.d1.a1', 'outer_equivalence': False, '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': 64, '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: 67210051
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.2030.64.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.e1.a1', 'outer_equivalence': False, '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': 64, '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: 67210052
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.2030.64.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.f1.a1', 'outer_equivalence': False, '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': 64, '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: 67210053
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 42, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '512.2030.64.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.g1.a1', 'outer_equivalence': False, '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': 64, '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': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
-
id: 67210054
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.2030.64.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.h1.a1', 'outer_equivalence': False, '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': 64, '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': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
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id: 67210055
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 4, 'counter': 44, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.2030.128.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.162', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 162, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\SD_{128}', '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}
-
id: 67210056
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': True, 'central_factor': False, 'centralizer_order': 512, 'characteristic': True, 'core_order': 4, 'counter': 45, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '512.2030.128.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.161', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 161, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{64}', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U6'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
-
id: 67210057
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 4, 'counter': 46, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '512.2030.128.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.147', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 147, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{16}:C_4', 'simple': False, 'solvable': True, 'special_labels': ['L5', 'C7'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
-
id: 67210058
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.2030.128.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.d1.a1', 'outer_equivalence': False, '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': 128, '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}
-
id: 67210059
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 48, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '512.2030.128.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.e1.a1', 'outer_equivalence': False, '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': 128, '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}
-
id: 67210060
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': True, 'central_factor': False, 'centralizer_order': 512, 'characteristic': True, 'core_order': 2, 'counter': 49, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '512.2030.256.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '256.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.525', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 525, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{32}:C_4', 'simple': True, 'solvable': True, 'special_labels': ['S', 'L6', 'C8'], '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: 67210062
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 50, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '512.2030.256.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '256.b1.a1', 'outer_equivalence': False, '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': 256, '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: 67210063
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 51, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '512.2030.256.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '256.c1.a1', 'outer_equivalence': False, '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': 256, '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: 67210064
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.2030', 'ambient_counter': 2030, 'ambient_order': 512, 'ambient_tex': 'C_4.D_{64}', 'central': True, 'central_factor': False, 'centralizer_order': 512, 'characteristic': True, 'core_order': 1, 'counter': 52, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '512.2030.512.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '512.2030', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8082150155512058976, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4.D_{64}', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U7', 'L7', 'D2', 'C9'], '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: 67210017
{'ambient': '512.2030', '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': '128.b1.a1', 'complements': ['512.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7729, 3945, 7666, 5390, 7667, 3994, 7604, 5385], 'generators': [2053925770, 186720710, 4345495809, 1086374205, 4226673689, 66306, 2393417622, 4090876929, 4345496064], 'label': '512.2030.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '128.161', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1.a1', 'subgroup_fusion': None, 'weyl_group': '128.161'}
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id: 67210018
{'ambient': '512.2030', 'aut_centralizer_order': 4, 'aut_label': '4.f1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '1024.dng', 'aut_weyl_index': 8, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.c1.a1', '8.g1.a1', '8.h1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9169, -1, 9147, -1, 9097, -1, 9072, -1], 'generators': [4175750065, 4090876929, 1086374205, 4226673689, 4345496064, 66306, 2053925770], 'label': '512.2030.4.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '4.f1.a1', 'projective_image': '256.525', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.f1.a1', 'subgroup_fusion': None, 'weyl_group': '64.52'}
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id: 67210019
{'ambient': '512.2030', 'aut_centralizer_order': 64, 'aut_label': '4.g1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '64.50', 'aut_weyl_index': 128, 'centralizer': '2.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1'], 'contains': ['8.c1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9826, -1, 9821, -1, 9748, -1, 9741, -1], 'generators': [4175750065, 4090876929, 1086374205, 2393417622, 4226673689, 4345496064, 2053925770], 'label': '512.2030.4.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '4.g1.a1', 'projective_image': '256.525', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.g1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 67210020
{'ambient': '512.2030', 'aut_centralizer_order': 256, 'aut_label': '8.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '32.36', 'aut_weyl_index': 256, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.d1.a1', '4.e1.a1'], 'contains': ['16.a1.a1', '16.b1.a1', '16.c1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6602, 5280, 6510, 3919, 6550, 5346, 6457, 3915], 'generators': [4090876929, 1086374205, 4345495809, 4226673689, 4345496064, 2053925770], 'label': '512.2030.8.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '16.b1.a1', '16.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '128.161', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 67210021
{'ambient': '512.2030', 'aut_centralizer_order': 256, 'aut_label': '8.b1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '32.16', 'aut_weyl_index': 256, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1'], 'contains': ['16.c1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7986, 2034, 7931, 7713, 7922, 2058, 7866, 7706], 'generators': [186720710, 4090876929, 1086374205, 4226673689, 4345496064, 2053925770], 'label': '512.2030.8.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1'], 'normal_contains': ['16.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.a1', 'projective_image': '256.525', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 67210022
{'ambient': '512.2030', 'aut_centralizer_order': 256, 'aut_label': '8.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '32.16', 'aut_weyl_index': 256, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.f1.a1', '4.g1.a1'], 'contains': ['16.c1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9157, 3369, 9134, 6152, 9084, 3410, 9059, 6147], 'generators': [4175750065, 4090876929, 1086374205, 4226673689, 4345496064, 2053925770], 'label': '512.2030.8.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.c1.a1', 'projective_image': '256.525', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 67210023
{'ambient': '512.2030', 'aut_centralizer_order': 8, 'aut_label': '8.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '256.26455', 'aut_weyl_index': 32, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1'], 'contains': ['16.a1.a1', '16.d1.a1', '16.f1.a1', '16.g1.a1', '16.h1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [5058, -1, 4923, -1, 5018, -1, 4883, -1], 'generators': [4090876929, 1086374205, 4345495809, 4226673689, 4345496064, 66306], 'label': '512.2030.8.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1.a1', 'old_label': '8.d1.a1', 'projective_image': '128.161', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1.a1', 'subgroup_fusion': None, 'weyl_group': '32.18'}
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id: 67210024
{'ambient': '512.2030', 'aut_centralizer_order': 8, 'aut_label': '8.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '256.26455', 'aut_weyl_index': 32, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1'], 'contains': ['16.a1.a1', '16.e1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [4292, -1, 4137, -1, 4258, -1, 4103, -1], 'generators': [4090876929, 1086374205, 4345495809, 4226673689, 9315222, 4345496064], 'label': '512.2030.8.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1.a1', 'old_label': '8.e1.a1', 'projective_image': '128.161', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.e1.a1', 'subgroup_fusion': None, 'weyl_group': '32.18'}
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id: 67210025
{'ambient': '512.2030', 'aut_centralizer_order': 8, 'aut_label': '8.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '256.5055', 'aut_weyl_index': 32, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1'], 'contains': ['16.b1.a1', '16.g1.a1', '16.h1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [5759, -1, 5644, -1, 5714, -1, 5598, -1], 'generators': [4090876929, 1086374205, 4226673689, 4345496064, 66306, 2308544665], 'label': '512.2030.8.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1.a1', 'old_label': '8.f1.a1', 'projective_image': '256.525', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.f1.a1', 'subgroup_fusion': None, 'weyl_group': '32.18'}
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id: 67210026
{'ambient': '512.2030', 'aut_centralizer_order': 8, 'aut_label': '8.g1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '512.58302', 'aut_weyl_index': 16, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.d1.a1', '4.f1.a1'], 'contains': ['16.c1.a1', '16.g1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8559, -1, 8519, -1, 8490, -1, 8450, -1], 'generators': [4090876929, 1086374205, 4226673689, 4345496064, 66306, 2053925770], 'label': '512.2030.8.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.g1.a1', 'projective_image': '256.525', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.g1.a1', 'subgroup_fusion': None, 'weyl_group': '64.52'}
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id: 67210027
{'ambient': '512.2030', 'aut_centralizer_order': 8, 'aut_label': '8.h1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '512.58302', 'aut_weyl_index': 16, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '4.d1.a1', '4.f1.a1'], 'contains': ['16.c1.a1', '16.h1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7413, -1, 7343, -1, 7354, -1, 7283, -1], 'generators': [4090876929, 1086374205, 131841, 4226673689, 4345496064, 2053925770], 'label': '512.2030.8.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.h1.a1', 'projective_image': '256.525', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.h1.a1', 'subgroup_fusion': None, 'weyl_group': '64.52'}
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id: 67210028
{'ambient': '512.2030', 'aut_centralizer_order': 2, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 2, 'centralizer': '128.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '4.d1.a1', '4.f1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7729, 1745, 7666, 7962, 7667, 1766, 7604, 7954], 'generators': [186720710, 4090876929, 1086374205, 4345495809, 4226673689, 4345496064, 66306, 2053925770], 'label': '512.2030.2.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.b1.a1', '4.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '128.161', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '128.161'}
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id: 67210029
{'ambient': '512.2030', 'aut_centralizer_order': 512, 'aut_label': '16.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '16.10', 'aut_weyl_index': 512, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.d1.a1', '8.e1.a1'], 'contains': ['32.a1.a1', '32.b1.a1', '32.c1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5058, 6616, 4923, 2359, 5018, 6697, 4883, 2356], 'generators': [4090876929, 1086374205, 4345495809, 4226673689, 4345496064], 'label': '512.2030.16.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.a1.a1'], 'normal_contains': ['32.a1.a1', '32.c1.a1', '32.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': '128.161', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 67210030
{'ambient': '512.2030', 'aut_centralizer_order': 512, 'aut_label': '16.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.5', 'aut_weyl_index': 512, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.f1.a1'], 'contains': ['32.c1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7014, 4705, 6933, 4593, 6958, 4762, 6876, 4588], 'generators': [4090876929, 1086374205, 4226673689, 4345496064, 2308544665], 'label': '512.2030.16.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.b1.a1', 'normal_contained_in': ['8.a1.a1'], 'normal_contains': ['32.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.b1.a1', 'projective_image': '256.525', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 67210031
{'ambient': '512.2030', 'aut_centralizer_order': 512, 'aut_label': '16.c1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '16.5', 'aut_weyl_index': 512, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '8.g1.a1', '8.h1.a1'], 'contains': ['32.c1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7787, 3369, 7726, 6152, 7724, 3410, 7663, 6147], 'generators': [4090876929, 1086374205, 4226673689, 4345496064, 2053925770], 'label': '512.2030.16.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.c1.a1', 'normal_contained_in': ['8.a1.a1', '8.b1.a1', '8.c1.a1'], 'normal_contains': ['32.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.c1.a1', 'projective_image': '256.525', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 67210032
{'ambient': '512.2030', 'aut_centralizer_order': 16, 'aut_label': '16.d1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '64.254', 'aut_weyl_index': 128, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1'], 'contains': ['32.a1.a1', '32.d1.a1', '32.f1.a1', '32.g1.a1', '32.h1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [3604, -1, 3430, -1, 3575, -1, 3402, -1], 'generators': [4090876929, 1086374205, 4345495809, 4345496064, 66306], 'label': '512.2030.16.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.d1.a1', 'old_label': '16.d1.a1', 'projective_image': '128.161', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.d1.a1', 'subgroup_fusion': None, 'weyl_group': '16.7'}
-
id: 67210033
{'ambient': '512.2030', 'aut_centralizer_order': 16, 'aut_label': '16.e1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '64.254', 'aut_weyl_index': 128, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1'], 'contains': ['32.a1.a1', '32.e1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [3011, -1, 2822, -1, 2988, -1, 2799, -1], 'generators': [4090876929, 1086374205, 4345495809, 9315222, 4345496064], 'label': '512.2030.16.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.e1.a1', 'old_label': '16.e1.a1', 'projective_image': '128.161', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.e1.a1', 'subgroup_fusion': None, 'weyl_group': '16.7'}
-
id: 67210034
{'ambient': '512.2030', 'aut_centralizer_order': 16, 'aut_label': '16.f1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '64.123', 'aut_weyl_index': 128, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1'], 'contains': ['32.b1.a1', '32.g1.a1', '32.h1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [4214, -1, 4058, -1, 4181, -1, 4025, -1], 'generators': [135796776, 4090876929, 1086374205, 4345496064, 66306], 'label': '512.2030.16.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.d1.a1', 'old_label': '16.f1.a1', 'projective_image': '256.525', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.f1.a1', 'subgroup_fusion': None, 'weyl_group': '16.7'}
-
id: 67210035
{'ambient': '512.2030', 'aut_centralizer_order': 16, 'aut_label': '16.g1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '128.913', 'aut_weyl_index': 64, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '8.f1.a1', '8.g1.a1'], 'contains': ['32.c1.a1', '32.g1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [6441, -1, 6345, -1, 6390, -1, 6293, -1], 'generators': [4090876929, 1086374205, 4226673689, 4345496064, 66306], 'label': '512.2030.16.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1.a1', 'old_label': '16.g1.a1', 'projective_image': '256.525', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.g1.a1', 'subgroup_fusion': None, 'weyl_group': '32.18'}
-
id: 67210036
{'ambient': '512.2030', 'aut_centralizer_order': 16, 'aut_label': '16.h1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '128.913', 'aut_weyl_index': 64, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '8.f1.a1', '8.h1.a1'], 'contains': ['32.c1.a1', '32.h1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [5868, -1, 5757, -1, 5822, -1, 5709, -1], 'generators': [4090876929, 1086374205, 131841, 4226673689, 4345496064], 'label': '512.2030.16.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1.a1', 'old_label': '16.h1.a1', 'projective_image': '256.525', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.h1.a1', 'subgroup_fusion': None, 'weyl_group': '32.18'}
-
id: 67210037
{'ambient': '512.2030', 'aut_centralizer_order': 1024, 'aut_label': '32.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 1024, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.d1.a1', '16.e1.a1'], 'contains': ['64.a1.a1', '64.b1.a1', '64.c1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3604, 7739, 3430, 2607, 3575, 7834, 3402, 2604], 'generators': [4090876929, 1086374205, 4345495809, 4345496064], 'label': '512.2030.32.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.a1.a1', 'normal_contained_in': ['16.a1.a1'], 'normal_contains': ['64.a1.a1', '64.c1.a1', '64.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.a1.a1', 'projective_image': '128.161', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.1', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 67210038
{'ambient': '512.2030', 'aut_centralizer_order': 1024, 'aut_label': '32.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 1024, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.f1.a1'], 'contains': ['64.c1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5366, 6039, 5241, 620, 5324, 6114, 5198, 620], 'generators': [135796776, 4090876929, 1086374205, 4345496064], 'label': '512.2030.32.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.b1.a1', 'normal_contained_in': ['16.a1.a1'], 'normal_contains': ['64.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.b1.a1', 'projective_image': '256.525', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.1', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 67210039
{'ambient': '512.2030', 'aut_centralizer_order': 2, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 2, 'centralizer': '128.b1.a1', 'complements': ['256.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.e1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6796, 3945, 6708, 5390, 6741, 3994, 6653, 5385], 'generators': [186720710, 4090876929, 1086374205, 4345495809, 4226673689, 9315222, 4345496064, 2053925770], 'label': '512.2030.2.b1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': '128.161', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.b1.a1', 'subgroup_fusion': None, 'weyl_group': '128.161'}
-
id: 67210040
{'ambient': '512.2030', 'aut_centralizer_order': 1024, 'aut_label': '32.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 1024, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.b1.a1', '16.c1.a1', '16.g1.a1', '16.h1.a1'], 'contains': ['64.c1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6191, 4705, 6087, 4593, 6141, 4762, 6037, 4588], 'generators': [4090876929, 1086374205, 4226673689, 4345496064], 'label': '512.2030.32.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.c1.a1', 'normal_contained_in': ['16.a1.a1', '16.b1.a1', '16.c1.a1'], 'normal_contains': ['64.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.c1.a1', 'projective_image': '256.525', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.5', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 67210041
{'ambient': '512.2030', 'aut_centralizer_order': 32, 'aut_label': '32.d1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '16.11', 'aut_weyl_index': 512, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1'], 'contains': ['64.a1.a1', '64.d1.a1', '64.e1.a1', '64.f1.a1', '64.h1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [2240, -1, 2029, -1, 2221, -1, 2012, -1], 'generators': [4090876929, 4345495809, 4345496064, 66306], 'label': '512.2030.32.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.d1.a1', 'old_label': '32.d1.a1', 'projective_image': '128.161', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.d1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
-
id: 67210042
{'ambient': '512.2030', 'aut_centralizer_order': 32, 'aut_label': '32.e1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '16.11', 'aut_weyl_index': 512, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.e1.a1'], 'contains': ['64.a1.a1', '64.g1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [1621, -1, 865, -1, 1609, -1, 859, -1], 'generators': [4090876929, 4345495809, 9315222, 4345496064], 'label': '512.2030.32.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.e1.a1', 'old_label': '32.e1.a1', 'projective_image': '128.161', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.e1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
-
id: 67210043
{'ambient': '512.2030', 'aut_centralizer_order': 32, 'aut_label': '32.f1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '16.11', 'aut_weyl_index': 512, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1'], 'contains': ['64.b1.a1', '64.f1.a1', '64.h1.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [2850, -1, 2657, -1, 2828, -1, 2635, -1], 'generators': [4090876929, 4345496064, 3276096702, 66306], 'label': '512.2030.32.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.d1.a1', 'old_label': '32.f1.a1', 'projective_image': '256.525', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.f1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
-
id: 67210044
{'ambient': '512.2030', 'aut_centralizer_order': 32, 'aut_label': '32.g1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '32.43', 'aut_weyl_index': 256, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '16.f1.a1', '16.g1.a1'], 'contains': ['64.c1.a1', '64.f1.a1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [4851, -1, 4712, -1, 4813, -1, 4674, -1], 'generators': [4090876929, 1086374205, 4345496064, 66306], 'label': '512.2030.32.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.d1.a1', 'old_label': '32.g1.a1', 'projective_image': '256.525', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.g1.a1', 'subgroup_fusion': None, 'weyl_group': '16.7'}
-
id: 67210063
{'ambient': '512.2030', 'aut_centralizer_order': 128, 'aut_label': '256.c1', 'aut_quo_index': None, 'aut_stab_index': 64, 'aut_weyl_group': '1.1', 'aut_weyl_index': 8192, 'centralizer': '64.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.d1.a1'], 'contains': ['512.a1.a1'], 'core': '512.a1.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [2722, -1, 2551, -1, 2694, -1, 2524, -1], 'generators': [66306], 'label': '512.2030.256.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '64.e1.a1', 'old_label': '256.c1.a1', 'projective_image': '512.2030', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 67210045
{'ambient': '512.2030', 'aut_centralizer_order': 32, 'aut_label': '32.h1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '32.43', 'aut_weyl_index': 256, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '16.f1.a1', '16.h1.a1'], 'contains': ['64.c1.a1', '64.h1.a1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [4331, -1, 4177, -1, 4296, -1, 4143, -1], 'generators': [4090876929, 1086374205, 131841, 4345496064], 'label': '512.2030.32.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.d1.a1', 'old_label': '32.h1.a1', 'projective_image': '256.525', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.h1.a1', 'subgroup_fusion': None, 'weyl_group': '16.7'}
-
id: 67210046
{'ambient': '512.2030', 'aut_centralizer_order': 2048, 'aut_label': '64.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 2048, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.d1.a1', '32.e1.a1'], 'contains': ['128.a1.a1', '128.b1.a1', '128.c1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1718, 8710, 865, 4451, 1704, 8817, 859, 4446], 'generators': [4090876929, 4345495809, 4345496064], 'label': '512.2030.64.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '64.a1.a1', 'normal_contained_in': ['32.a1.a1'], 'normal_contains': ['128.a1.a1', '128.b1.a1', '128.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.a1.a1', 'projective_image': '128.161', 'quotient_action_image': '2.1', 'quotient_action_kernel': '32.1', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '64.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 67210047
{'ambient': '512.2030', 'aut_centralizer_order': 2048, 'aut_label': '64.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 2048, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.f1.a1'], 'contains': ['128.c1.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3777, 7132, 3880, 2607, 3747, 7220, 3848, 2604], 'generators': [4090876929, 4345496064, 3276096702], 'label': '512.2030.64.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '64.b1.a1', 'normal_contained_in': ['32.a1.a1'], 'normal_contains': ['128.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.b1.a1', 'projective_image': '256.525', 'quotient_action_image': '2.1', 'quotient_action_kernel': '32.1', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '64.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 67210048
{'ambient': '512.2030', 'aut_centralizer_order': 2048, 'aut_label': '64.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 2048, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.b1.a1', '32.c1.a1', '32.g1.a1', '32.h1.a1'], 'contains': ['128.c1.a1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4594, 6039, 4534, 1330, 4558, 6114, 4497, 1329], 'generators': [4090876929, 1086374205, 4345496064], 'label': '512.2030.64.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '64.c1.a1', 'normal_contained_in': ['32.a1.a1', '32.c1.a1', '32.b1.a1'], 'normal_contains': ['128.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.c1.a1', 'projective_image': '256.525', 'quotient_action_image': '2.1', 'quotient_action_kernel': '32.16', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '64.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 67210049
{'ambient': '512.2030', 'aut_centralizer_order': 64, 'aut_label': '64.d1', 'aut_quo_index': None, 'aut_stab_index': 32, 'aut_weyl_group': '4.2', 'aut_weyl_index': 2048, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.d1.a1'], 'contains': ['128.a1.a1', '128.d1.a1', '128.e1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [2388, -1, 2452, -1, 2368, -1, 2432, -1], 'generators': [4345495809, 4345496064, 66306], 'label': '512.2030.64.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.d1.a1', 'old_label': '64.d1.a1', 'projective_image': '256.525', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.d1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 67210050
{'ambient': '512.2030', 'aut_centralizer_order': 64, 'aut_label': '2.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '128.988', 'aut_weyl_index': 64, 'centralizer': '2.c1.a1', 'complements': ['256.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.g1.a1'], 'core': '2.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8732, 6389, 8697, 2536, 8662, 6467, 8627, 2533], 'generators': [186720710, 4090876929, 1086374205, 2393417622, 4345495809, 4226673689, 4345496064, 2053925770], 'label': '512.2030.2.c1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.c1.a1', 'projective_image': '128.161', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 67210051
{'ambient': '512.2030', 'aut_centralizer_order': 64, 'aut_label': '64.e1', 'aut_quo_index': None, 'aut_stab_index': 32, 'aut_weyl_group': '4.2', 'aut_weyl_index': 2048, 'centralizer': '64.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.d1.a1'], 'contains': ['128.b1.a1', '128.d1.a1', '128.e1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [843, -1, 1764, -1, 836, -1, 1750, -1], 'generators': [4345496064, 271593504, 66306], 'label': '512.2030.64.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.d1.a1', 'old_label': '64.e1.a1', 'projective_image': '128.161', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 67210052
{'ambient': '512.2030', 'aut_centralizer_order': 64, 'aut_label': '64.f1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1024, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.d1.a1', '32.f1.a1', '32.g1.a1'], 'contains': ['128.c1.a1', '128.d1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [3314, -1, 3403, -1, 3288, -1, 3376, -1], 'generators': [4090876929, 4345496064, 66306], 'label': '512.2030.64.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.d1.a1', 'old_label': '64.f1.a1', 'projective_image': '256.525', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.f1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
-
id: 67210053
{'ambient': '512.2030', 'aut_centralizer_order': 64, 'aut_label': '64.g1', 'aut_quo_index': None, 'aut_stab_index': 32, 'aut_weyl_group': '4.2', 'aut_weyl_index': 2048, 'centralizer': '64.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.e1.a1'], 'contains': ['128.b1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [174, -1, 179, -1, 172, -1, 177, -1], 'generators': [9315222, 4345496064, 271593504], 'label': '512.2030.64.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.e1.a1', 'old_label': '64.g1.a1', 'projective_image': '128.161', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.g1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 67210054
{'ambient': '512.2030', 'aut_centralizer_order': 64, 'aut_label': '64.h1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '8.3', 'aut_weyl_index': 1024, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.d1.a1', '32.f1.a1', '32.h1.a1'], 'contains': ['128.c1.a1', '128.e1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [2850, -1, 2927, -1, 2828, -1, 2904, -1], 'generators': [4090876929, 131841, 4345496064], 'label': '512.2030.64.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.d1.a1', 'old_label': '64.h1.a1', 'projective_image': '256.525', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.h1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
-
id: 67210055
{'ambient': '512.2030', 'aut_centralizer_order': 4096, 'aut_label': '128.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 4096, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '64.d1.a1'], 'contains': ['256.a1.a1', '256.b1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1744, 9393, 1546, 3972, 1730, 9508, 1534, 3968], 'generators': [4345495809, 4345496064], 'label': '512.2030.128.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '128.a1.a1', 'normal_contained_in': ['64.a1.a1'], 'normal_contains': ['256.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '128.a1.a1', 'projective_image': '256.525', 'quotient_action_image': '2.1', 'quotient_action_kernel': '64.1', 'quotient_action_kernel_order': 64, 'quotient_fusion': None, 'short_label': '128.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 67210056
{'ambient': '512.2030', 'aut_centralizer_order': 4096, 'aut_label': '128.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 4096, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '64.e1.a1', '64.g1.a1'], 'contains': ['256.a1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1062, 8225, 1011, 5338, 1053, 8326, 1003, 5332], 'generators': [4345496064, 271593504], 'label': '512.2030.128.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '128.b1.a1', 'normal_contained_in': ['64.a1.a1'], 'normal_contains': ['256.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '128.b1.a1', 'projective_image': '128.161', 'quotient_action_image': '1.1', 'quotient_action_kernel': '128.161', 'quotient_action_kernel_order': 128, 'quotient_fusion': None, 'short_label': '128.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 67210057
{'ambient': '512.2030', 'aut_centralizer_order': 4096, 'aut_label': '128.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 4096, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '64.b1.a1', '64.c1.a1', '64.f1.a1', '64.h1.a1'], 'contains': ['256.a1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3263, 7132, 3185, 2607, 3256, 7220, 3264, 2604], 'generators': [4090876929, 4345496064], 'label': '512.2030.128.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '128.c1.a1', 'normal_contained_in': ['64.a1.a1', '64.c1.a1', '64.b1.a1'], 'normal_contains': ['256.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '128.c1.a1', 'projective_image': '256.525', 'quotient_action_image': '2.1', 'quotient_action_kernel': '64.50', 'quotient_action_kernel_order': 64, 'quotient_fusion': None, 'short_label': '128.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 67210058
{'ambient': '512.2030', 'aut_centralizer_order': 128, 'aut_label': '128.d1', 'aut_quo_index': None, 'aut_stab_index': 32, 'aut_weyl_group': '2.1', 'aut_weyl_index': 4096, 'centralizer': '64.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.d1.a1', '64.e1.a1', '64.f1.a1'], 'contains': ['256.a1.a1', '256.c1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [2735, -1, 2564, -1, 2713, -1, 2543, -1], 'generators': [4345496064, 66306], 'label': '512.2030.128.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.d1.a1', 'old_label': '128.d1.a1', 'projective_image': '256.525', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 67210059
{'ambient': '512.2030', 'aut_centralizer_order': 128, 'aut_label': '128.e1', 'aut_quo_index': None, 'aut_stab_index': 32, 'aut_weyl_group': '2.1', 'aut_weyl_index': 4096, 'centralizer': '64.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.d1.a1', '64.e1.a1', '64.h1.a1'], 'contains': ['256.a1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [2240, -1, 2056, -1, 2221, -1, 2039, -1], 'generators': [131841, 4345496064], 'label': '512.2030.128.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.d1.a1', 'old_label': '128.e1.a1', 'projective_image': '256.525', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 67210060
{'ambient': '512.2030', 'aut_centralizer_order': 8192, 'aut_label': '256.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 8192, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['128.a1.a1', '128.b1.a1', '128.c1.a1', '128.d1.a1', '128.e1.a1'], 'contains': ['512.a1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2240, 8225, 2056, 3972, 2221, 8326, 2039, 3968], 'generators': [4345496064], 'label': '512.2030.256.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '256.a1.a1', 'normal_contained_in': ['128.a1.a1', '128.b1.a1', '128.c1.a1'], 'normal_contains': ['512.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '256.a1.a1', 'projective_image': '256.525', 'quotient_action_image': '1.1', 'quotient_action_kernel': '256.525', 'quotient_action_kernel_order': 256, 'quotient_fusion': None, 'short_label': '256.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 67210061
{'ambient': '512.2030', 'aut_centralizer_order': 128, 'aut_label': '4.a1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '64.183', 'aut_weyl_index': 128, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'contains': ['8.a1.a1', '8.b1.a1', '8.c1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7729, 3945, 7666, 5390, 7667, 3994, 7604, 5385], 'generators': [186720710, 4090876929, 1086374205, 4345495809, 4226673689, 4345496064, 2053925770], 'label': '512.2030.4.a1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'normal_contains': ['8.a1.a1', '8.b1.a1', '8.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '128.161', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 67210062
{'ambient': '512.2030', 'aut_centralizer_order': 4096, 'aut_label': '256.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 8192, 'centralizer': '2.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.a1.a1'], 'contains': ['512.a1.a1'], 'core': '512.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1763, -1, 1567, -1, 1749, -1, 1554, -1], 'generators': [4345495809], 'label': '512.2030.256.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '128.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '256.b1.a1', 'projective_image': '512.2030', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 67210064
{'ambient': '512.2030', 'aut_centralizer_order': None, 'aut_label': '512.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['1.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['256.a1.a1', '256.b1.a1', '256.c1.a1'], 'contains': [], 'core': '512.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2240, 8225, 2056, 3972, 2221, 8326, 2039, 3968], 'generators': [], 'label': '512.2030.512.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '512.a1.a1', 'normal_contained_in': ['256.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '512.a1.a1', 'projective_image': '512.2030', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 67210065
{'ambient': '512.2030', 'aut_centralizer_order': 4, 'aut_label': '4.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2048.ctr', 'aut_weyl_index': 4, 'centralizer': '128.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.b1.a1', '8.g1.a1'], 'core': '4.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8539, 2034, 8499, 9380, 8471, 2058, 8430, 9371], 'generators': [186720710, 4090876929, 1086374205, 4226673689, 4345496064, 66306, 2053925770], 'label': '512.2030.4.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.a1', 'projective_image': '256.525', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1.a1', 'subgroup_fusion': None, 'weyl_group': '128.161'}
-
id: 67210066
{'ambient': '512.2030', 'aut_centralizer_order': 4, 'aut_label': '4.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2048.ctr', 'aut_weyl_index': 4, 'centralizer': '128.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.b1.a1', '8.h1.a1'], 'core': '4.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6885, 607, 6801, 7713, 6830, 614, 6745, 7706], 'generators': [186720710, 4090876929, 1086374205, 131841, 4226673689, 4345496064, 2053925770], 'label': '512.2030.4.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.c1.a1', 'projective_image': '256.525', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1.a1', 'subgroup_fusion': None, 'weyl_group': '128.161'}
-
id: 67210067
{'ambient': '512.2030', 'aut_centralizer_order': 4, 'aut_label': '4.d1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '1024.gd', 'aut_weyl_index': 8, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '8.d1.a1', '8.f1.a1', '8.g1.a1', '8.h1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6120, -1, 6014, -1, 6071, -1, 5965, -1], 'generators': [4090876929, 1086374205, 4345495809, 4226673689, 4345496064, 66306, 2053925770], 'label': '512.2030.4.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '4.d1.a1', 'projective_image': '128.161', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1.a1', 'subgroup_fusion': None, 'weyl_group': '64.52'}
-
id: 67210068
{'ambient': '512.2030', 'aut_centralizer_order': 4, 'aut_label': '4.e1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '1024.gd', 'aut_weyl_index': 8, 'centralizer': '128.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.a1.a1', '8.e1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5277, -1, 5148, -1, 5235, -1, 5106, -1], 'generators': [4090876929, 1086374205, 4345495809, 4226673689, 9315222, 4345496064, 2053925770], 'label': '512.2030.4.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '4.e1.a1', 'projective_image': '128.161', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.e1.a1', 'subgroup_fusion': None, 'weyl_group': '64.52'}