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gps_groups • Show schema
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{'Agroup': True, 'Zgroup': False, 'abelian': True, 'abelian_quotient': '128.159', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 16, 'aut_gen_orders': [2, 2, 2, 16], 'aut_gens': [[1, 2], [1, 126], [65, 66], [1, 3], [1, 122]], 'aut_group': '128.2138', 'aut_hash': 2138, 'aut_nilpotency_class': 2, 'aut_nilpotent': True, 'aut_order': 128, 'aut_permdeg': 34, 'aut_perms': [1, 171486161436024143162199739006640389806, 141974767670387102962849362607, 9252065540398678399199008492146495360], 'aut_phi_ratio': 2.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 2, 1], [4, 1, 2, 2], [8, 1, 4, 2], [16, 1, 8, 2], [32, 1, 16, 2], [64, 1, 64, 1]], 'aut_supersolvable': True, 'aut_tex': '\\OD_{32}:C_2^2', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 16, 'autcent_group': '128.2138', 'autcent_hash': 2138, 'autcent_nilpotent': True, 'autcent_order': 128, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': '\\OD_{32}:C_2^2', 'autcentquo_abelian': True, 'autcentquo_cyclic': True, 'autcentquo_exponent': 1, 'autcentquo_group': '1.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': True, 'autcentquo_order': 1, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_1', 'cc_stats': [[1, 1, 1], [2, 1, 3], [4, 1, 4], [8, 1, 8], [16, 1, 16], [32, 1, 32], [64, 1, 64]], 'center_label': '128.159', 'center_order': 128, 'central_product': True, 'central_quotient': '1.1', 'commutator_count': 0, 'commutator_label': '1.1', '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'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 159, 'cyclic': False, 'derived_length': 1, 'dihedral': False, 'direct_factorization': [['2.1', 1], ['64.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [4, 1, 2, 2], [8, 1, 4, 2], [16, 1, 8, 2], [32, 1, 16, 2], [64, 1, 32, 2]], 'element_repr_type': 'PC', 'elementary': 2, 'eulerian_function': 48, 'exponent': 64, 'exponents_of_order': [7], 'factors_of_aut_order': [2], 'factors_of_order': [2], 'faithful_reps': [], 'familial': False, 'frattini_label': '32.1', 'frattini_quotient': '4.2', 'hash': 159, 'hyperelementary': 2, 'inner_abelian': True, 'inner_cyclic': True, 'inner_exponent': 1, 'inner_gen_orders': [1, 1], 'inner_gens': [[1, 2], [1, 2]], 'inner_hash': 1, 'inner_nilpotent': True, 'inner_order': 1, 'inner_split': True, 'inner_tex': 'C_1', 'inner_used': [], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 128]], 'label': '128.159', 'linC_count': 3072, 'linC_degree': 2, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 33, 'linQ_degree_count': 4, 'linQ_dim': 33, 'linQ_dim_count': 4, 'linR_count': 64, 'linR_degree': 3, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': True, 'monomial': True, 'name': 'C2*C64', 'ngens': 2, 'nilpotency_class': 1, 'nilpotent': True, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 12, 'number_characteristic_subgroups': 16, 'number_conjugacy_classes': 128, 'number_divisions': 14, 'number_normal_subgroups': 20, 'number_subgroup_autclasses': 18, 'number_subgroup_classes': 20, 'number_subgroups': 20, 'old_label': None, 'order': 128, 'order_factorization_type': 7, 'order_stats': [[1, 1], [2, 3], [4, 4], [8, 8], [16, 16], [32, 32], [64, 64]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 16, 'outer_gen_orders': [2, 2, 2, 16], 'outer_gen_pows': [0, 0, 0, 0], 'outer_gens': [[1, 126], [65, 66], [1, 3], [1, 122]], 'outer_group': '128.2138', 'outer_hash': 2138, 'outer_nilpotent': True, 'outer_order': 128, 'outer_permdeg': 34, 'outer_perms': [1, 171486161436024143162199739006640389806, 141974767670387102962849362607, 9252065540398678399199008492146495360], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': '\\OD_{32}:C_2^2', 'pc_rank': 2, 'perfect': False, 'permutation_degree': 66, 'pgroup': 2, 'primary_abelian_invariants': [2, 64], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 2], [4, 2], [8, 2], [16, 2], [32, 2]], 'representations': {'PC': {'code': 36600682651844670, 'gens': [1, 2], 'pres': [7, -2, 2, -2, -2, -2, -2, -2, 36, 58, 80, 102, 124]}, 'GLFp': {'d': 2, 'p': 193, 'gens': [1135871131, 64701556]}, 'Perm': {'d': 66, 'gens': [126886424184879191377907023343067844061670326648909197693790167142745236492852920320000000, 8247650592082470666723170306785496252186258551345437492922123134388955774976000000000000000, 62419405594775233153896912482234857270473048524673570261225915980433224114346318495744000, 30185896299723254041891857060004188364812551166368772966269922740137050414657649998336000, 14069141652197458216030551707423940846955960028574655866234876895057861380259202361332976, 6010765313484612917937180565815284489002494442693387095517620740092597566161508801942982, 1983116034341975454789449189498620955194254460449807567074683265838922666583379392681647]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 64], 'solvability_type': 1, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_2\\times C_{64}', 'transitive_degree': 128, 'wreath_data': None, 'wreath_product': False}
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gps_conj_classes • Show schema
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id: 43225095
{'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 159, 'group_order': 128, 'label': '1A', 'order': 1, 'powers': [1], 'representative': 0, 'size': 1}
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id: 43225135
{'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 159, 'group_order': 128, 'label': '2A', 'order': 2, 'powers': [1], 'representative': 1, 'size': 1}
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id: 43225146
{'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 3, 'group_counter': 159, 'group_order': 128, 'label': '2B', 'order': 2, 'powers': [1], 'representative': 65, 'size': 1}
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id: 43225157
{'aut_label': '2C', 'centralizer': '1.a1.a1', 'counter': 4, 'group_counter': 159, 'group_order': 128, 'label': '2C', 'order': 2, 'powers': [1], 'representative': 64, 'size': 1}
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id: 43225168
{'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 5, 'group_counter': 159, 'group_order': 128, 'label': '4A1', 'order': 4, 'powers': [4], 'representative': 33, 'size': 1}
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id: 43225179
{'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 6, 'group_counter': 159, 'group_order': 128, 'label': '4A-1', 'order': 4, 'powers': [4], 'representative': 97, 'size': 1}
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id: 43225190
{'aut_label': '4B1', 'centralizer': '1.a1.a1', 'counter': 7, 'group_counter': 159, 'group_order': 128, 'label': '4B1', 'order': 4, 'powers': [4], 'representative': 32, 'size': 1}
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id: 43225201
{'aut_label': '4B1', 'centralizer': '1.a1.a1', 'counter': 8, 'group_counter': 159, 'group_order': 128, 'label': '4B-1', 'order': 4, 'powers': [4], 'representative': 96, 'size': 1}
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id: 43225212
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 9, 'group_counter': 159, 'group_order': 128, 'label': '8A1', 'order': 8, 'powers': [7], 'representative': 17, 'size': 1}
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id: 43225096
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 10, 'group_counter': 159, 'group_order': 128, 'label': '8A-1', 'order': 8, 'powers': [8], 'representative': 113, 'size': 1}
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id: 43225107
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 11, 'group_counter': 159, 'group_order': 128, 'label': '8A3', 'order': 8, 'powers': [8], 'representative': 49, 'size': 1}
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id: 43225118
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 12, 'group_counter': 159, 'group_order': 128, 'label': '8A-3', 'order': 8, 'powers': [7], 'representative': 81, 'size': 1}
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id: 43225128
{'aut_label': '8B1', 'centralizer': '1.a1.a1', 'counter': 13, 'group_counter': 159, 'group_order': 128, 'label': '8B1', 'order': 8, 'powers': [7], 'representative': 16, 'size': 1}
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id: 43225129
{'aut_label': '8B1', 'centralizer': '1.a1.a1', 'counter': 14, 'group_counter': 159, 'group_order': 128, 'label': '8B-1', 'order': 8, 'powers': [8], 'representative': 112, 'size': 1}
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id: 43225130
{'aut_label': '8B1', 'centralizer': '1.a1.a1', 'counter': 15, 'group_counter': 159, 'group_order': 128, 'label': '8B3', 'order': 8, 'powers': [8], 'representative': 48, 'size': 1}
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id: 43225131
{'aut_label': '8B1', 'centralizer': '1.a1.a1', 'counter': 16, 'group_counter': 159, 'group_order': 128, 'label': '8B-3', 'order': 8, 'powers': [7], 'representative': 80, 'size': 1}
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id: 43225132
{'aut_label': '16A1', 'centralizer': '1.a1.a1', 'counter': 17, 'group_counter': 159, 'group_order': 128, 'label': '16A1', 'order': 16, 'powers': [13], 'representative': 9, 'size': 1}
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id: 43225133
{'aut_label': '16A1', 'centralizer': '1.a1.a1', 'counter': 18, 'group_counter': 159, 'group_order': 128, 'label': '16A-1', 'order': 16, 'powers': [14], 'representative': 121, 'size': 1}
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id: 43225134
{'aut_label': '16A1', 'centralizer': '1.a1.a1', 'counter': 19, 'group_counter': 159, 'group_order': 128, 'label': '16A3', 'order': 16, 'powers': [15], 'representative': 25, 'size': 1}
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id: 43225136
{'aut_label': '16A1', 'centralizer': '1.a1.a1', 'counter': 20, 'group_counter': 159, 'group_order': 128, 'label': '16A-3', 'order': 16, 'powers': [16], 'representative': 105, 'size': 1}
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id: 43225137
{'aut_label': '16A1', 'centralizer': '1.a1.a1', 'counter': 21, 'group_counter': 159, 'group_order': 128, 'label': '16A5', 'order': 16, 'powers': [16], 'representative': 41, 'size': 1}
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id: 43225138
{'aut_label': '16A1', 'centralizer': '1.a1.a1', 'counter': 22, 'group_counter': 159, 'group_order': 128, 'label': '16A-5', 'order': 16, 'powers': [15], 'representative': 89, 'size': 1}
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id: 43225139
{'aut_label': '16A1', 'centralizer': '1.a1.a1', 'counter': 23, 'group_counter': 159, 'group_order': 128, 'label': '16A7', 'order': 16, 'powers': [14], 'representative': 57, 'size': 1}
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id: 43225140
{'aut_label': '16A1', 'centralizer': '1.a1.a1', 'counter': 24, 'group_counter': 159, 'group_order': 128, 'label': '16A-7', 'order': 16, 'powers': [13], 'representative': 73, 'size': 1}
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id: 43225141
{'aut_label': '16B1', 'centralizer': '1.a1.a1', 'counter': 25, 'group_counter': 159, 'group_order': 128, 'label': '16B1', 'order': 16, 'powers': [13], 'representative': 8, 'size': 1}
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id: 43225142
{'aut_label': '16B1', 'centralizer': '1.a1.a1', 'counter': 26, 'group_counter': 159, 'group_order': 128, 'label': '16B-1', 'order': 16, 'powers': [14], 'representative': 120, 'size': 1}
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id: 43225143
{'aut_label': '16B1', 'centralizer': '1.a1.a1', 'counter': 27, 'group_counter': 159, 'group_order': 128, 'label': '16B3', 'order': 16, 'powers': [15], 'representative': 24, 'size': 1}
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id: 43225144
{'aut_label': '16B1', 'centralizer': '1.a1.a1', 'counter': 28, 'group_counter': 159, 'group_order': 128, 'label': '16B-3', 'order': 16, 'powers': [16], 'representative': 104, 'size': 1}
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id: 43225145
{'aut_label': '16B1', 'centralizer': '1.a1.a1', 'counter': 29, 'group_counter': 159, 'group_order': 128, 'label': '16B5', 'order': 16, 'powers': [16], 'representative': 40, 'size': 1}
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id: 43225147
{'aut_label': '16B1', 'centralizer': '1.a1.a1', 'counter': 30, 'group_counter': 159, 'group_order': 128, 'label': '16B-5', 'order': 16, 'powers': [15], 'representative': 88, 'size': 1}
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id: 43225148
{'aut_label': '16B1', 'centralizer': '1.a1.a1', 'counter': 31, 'group_counter': 159, 'group_order': 128, 'label': '16B7', 'order': 16, 'powers': [14], 'representative': 56, 'size': 1}
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id: 43225149
{'aut_label': '16B1', 'centralizer': '1.a1.a1', 'counter': 32, 'group_counter': 159, 'group_order': 128, 'label': '16B-7', 'order': 16, 'powers': [13], 'representative': 72, 'size': 1}
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id: 43225150
{'aut_label': '32A1', 'centralizer': '1.a1.a1', 'counter': 33, 'group_counter': 159, 'group_order': 128, 'label': '32A1', 'order': 32, 'powers': [25], 'representative': 5, 'size': 1}
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id: 43225151
{'aut_label': '32A1', 'centralizer': '1.a1.a1', 'counter': 34, 'group_counter': 159, 'group_order': 128, 'label': '32A-1', 'order': 32, 'powers': [26], 'representative': 125, 'size': 1}
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id: 43225152
{'aut_label': '32A1', 'centralizer': '1.a1.a1', 'counter': 35, 'group_counter': 159, 'group_order': 128, 'label': '32A3', 'order': 32, 'powers': [27], 'representative': 13, 'size': 1}
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id: 43225153
{'aut_label': '32A1', 'centralizer': '1.a1.a1', 'counter': 36, 'group_counter': 159, 'group_order': 128, 'label': '32A-3', 'order': 32, 'powers': [28], 'representative': 117, 'size': 1}
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id: 43225154
{'aut_label': '32A1', 'centralizer': '1.a1.a1', 'counter': 37, 'group_counter': 159, 'group_order': 128, 'label': '32A5', 'order': 32, 'powers': [29], 'representative': 21, 'size': 1}
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id: 43225155
{'aut_label': '32A1', 'centralizer': '1.a1.a1', 'counter': 38, 'group_counter': 159, 'group_order': 128, 'label': '32A-5', 'order': 32, 'powers': [30], 'representative': 109, 'size': 1}
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id: 43225156
{'aut_label': '32A1', 'centralizer': '1.a1.a1', 'counter': 39, 'group_counter': 159, 'group_order': 128, 'label': '32A7', 'order': 32, 'powers': [31], 'representative': 29, 'size': 1}
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id: 43225158
{'aut_label': '32A1', 'centralizer': '1.a1.a1', 'counter': 40, 'group_counter': 159, 'group_order': 128, 'label': '32A-7', 'order': 32, 'powers': [32], 'representative': 101, 'size': 1}
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id: 43225159
{'aut_label': '32A1', 'centralizer': '1.a1.a1', 'counter': 41, 'group_counter': 159, 'group_order': 128, 'label': '32A9', 'order': 32, 'powers': [32], 'representative': 37, 'size': 1}
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id: 43225160
{'aut_label': '32A1', 'centralizer': '1.a1.a1', 'counter': 42, 'group_counter': 159, 'group_order': 128, 'label': '32A-9', 'order': 32, 'powers': [31], 'representative': 93, 'size': 1}
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id: 43225161
{'aut_label': '32A1', 'centralizer': '1.a1.a1', 'counter': 43, 'group_counter': 159, 'group_order': 128, 'label': '32A11', 'order': 32, 'powers': [30], 'representative': 45, 'size': 1}
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id: 43225162
{'aut_label': '32A1', 'centralizer': '1.a1.a1', 'counter': 44, 'group_counter': 159, 'group_order': 128, 'label': '32A-11', 'order': 32, 'powers': [29], 'representative': 85, 'size': 1}
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id: 43225163
{'aut_label': '32A1', 'centralizer': '1.a1.a1', 'counter': 45, 'group_counter': 159, 'group_order': 128, 'label': '32A13', 'order': 32, 'powers': [28], 'representative': 53, 'size': 1}
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id: 43225164
{'aut_label': '32A1', 'centralizer': '1.a1.a1', 'counter': 46, 'group_counter': 159, 'group_order': 128, 'label': '32A-13', 'order': 32, 'powers': [27], 'representative': 77, 'size': 1}
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id: 43225165
{'aut_label': '32A1', 'centralizer': '1.a1.a1', 'counter': 47, 'group_counter': 159, 'group_order': 128, 'label': '32A15', 'order': 32, 'powers': [26], 'representative': 61, 'size': 1}
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id: 43225166
{'aut_label': '32A1', 'centralizer': '1.a1.a1', 'counter': 48, 'group_counter': 159, 'group_order': 128, 'label': '32A-15', 'order': 32, 'powers': [25], 'representative': 69, 'size': 1}
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id: 43225167
{'aut_label': '32B1', 'centralizer': '1.a1.a1', 'counter': 49, 'group_counter': 159, 'group_order': 128, 'label': '32B1', 'order': 32, 'powers': [25], 'representative': 4, 'size': 1}
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id: 43225169
{'aut_label': '32B1', 'centralizer': '1.a1.a1', 'counter': 50, 'group_counter': 159, 'group_order': 128, 'label': '32B-1', 'order': 32, 'powers': [26], 'representative': 124, 'size': 1}
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id: 43225170
{'aut_label': '32B1', 'centralizer': '1.a1.a1', 'counter': 51, 'group_counter': 159, 'group_order': 128, 'label': '32B3', 'order': 32, 'powers': [27], 'representative': 12, 'size': 1}
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id: 43225171
{'aut_label': '32B1', 'centralizer': '1.a1.a1', 'counter': 52, 'group_counter': 159, 'group_order': 128, 'label': '32B-3', 'order': 32, 'powers': [28], 'representative': 116, 'size': 1}
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id: 43225172
{'aut_label': '32B1', 'centralizer': '1.a1.a1', 'counter': 53, 'group_counter': 159, 'group_order': 128, 'label': '32B5', 'order': 32, 'powers': [29], 'representative': 20, 'size': 1}
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id: 43225173
{'aut_label': '32B1', 'centralizer': '1.a1.a1', 'counter': 54, 'group_counter': 159, 'group_order': 128, 'label': '32B-5', 'order': 32, 'powers': [30], 'representative': 108, 'size': 1}
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id: 43225174
{'aut_label': '32B1', 'centralizer': '1.a1.a1', 'counter': 55, 'group_counter': 159, 'group_order': 128, 'label': '32B7', 'order': 32, 'powers': [31], 'representative': 28, 'size': 1}
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id: 43225175
{'aut_label': '32B1', 'centralizer': '1.a1.a1', 'counter': 56, 'group_counter': 159, 'group_order': 128, 'label': '32B-7', 'order': 32, 'powers': [32], 'representative': 100, 'size': 1}
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id: 43225176
{'aut_label': '32B1', 'centralizer': '1.a1.a1', 'counter': 57, 'group_counter': 159, 'group_order': 128, 'label': '32B9', 'order': 32, 'powers': [32], 'representative': 36, 'size': 1}
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id: 43225177
{'aut_label': '32B1', 'centralizer': '1.a1.a1', 'counter': 58, 'group_counter': 159, 'group_order': 128, 'label': '32B-9', 'order': 32, 'powers': [31], 'representative': 92, 'size': 1}
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id: 43225178
{'aut_label': '32B1', 'centralizer': '1.a1.a1', 'counter': 59, 'group_counter': 159, 'group_order': 128, 'label': '32B11', 'order': 32, 'powers': [30], 'representative': 44, 'size': 1}
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id: 43225180
{'aut_label': '32B1', 'centralizer': '1.a1.a1', 'counter': 60, 'group_counter': 159, 'group_order': 128, 'label': '32B-11', 'order': 32, 'powers': [29], 'representative': 84, 'size': 1}
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id: 43225181
{'aut_label': '32B1', 'centralizer': '1.a1.a1', 'counter': 61, 'group_counter': 159, 'group_order': 128, 'label': '32B13', 'order': 32, 'powers': [28], 'representative': 52, 'size': 1}
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id: 43225182
{'aut_label': '32B1', 'centralizer': '1.a1.a1', 'counter': 62, 'group_counter': 159, 'group_order': 128, 'label': '32B-13', 'order': 32, 'powers': [27], 'representative': 76, 'size': 1}
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id: 43225183
{'aut_label': '32B1', 'centralizer': '1.a1.a1', 'counter': 63, 'group_counter': 159, 'group_order': 128, 'label': '32B15', 'order': 32, 'powers': [26], 'representative': 60, 'size': 1}
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id: 43225184
{'aut_label': '32B1', 'centralizer': '1.a1.a1', 'counter': 64, 'group_counter': 159, 'group_order': 128, 'label': '32B-15', 'order': 32, 'powers': [25], 'representative': 68, 'size': 1}
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id: 43225185
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 65, 'group_counter': 159, 'group_order': 128, 'label': '64A1', 'order': 64, 'powers': [49], 'representative': 2, 'size': 1}
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id: 43225186
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 66, 'group_counter': 159, 'group_order': 128, 'label': '64A-1', 'order': 64, 'powers': [50], 'representative': 126, 'size': 1}
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id: 43225187
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 67, 'group_counter': 159, 'group_order': 128, 'label': '64A3', 'order': 64, 'powers': [51], 'representative': 6, 'size': 1}
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id: 43225188
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 68, 'group_counter': 159, 'group_order': 128, 'label': '64A-3', 'order': 64, 'powers': [52], 'representative': 122, 'size': 1}
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id: 43225189
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 69, 'group_counter': 159, 'group_order': 128, 'label': '64A5', 'order': 64, 'powers': [53], 'representative': 10, 'size': 1}
-
id: 43225191
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 70, 'group_counter': 159, 'group_order': 128, 'label': '64A-5', 'order': 64, 'powers': [54], 'representative': 118, 'size': 1}
-
id: 43225192
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 71, 'group_counter': 159, 'group_order': 128, 'label': '64A7', 'order': 64, 'powers': [55], 'representative': 14, 'size': 1}
-
id: 43225193
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 72, 'group_counter': 159, 'group_order': 128, 'label': '64A-7', 'order': 64, 'powers': [56], 'representative': 114, 'size': 1}
-
id: 43225194
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 73, 'group_counter': 159, 'group_order': 128, 'label': '64A9', 'order': 64, 'powers': [57], 'representative': 18, 'size': 1}
-
id: 43225195
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 74, 'group_counter': 159, 'group_order': 128, 'label': '64A-9', 'order': 64, 'powers': [58], 'representative': 110, 'size': 1}
-
id: 43225196
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 75, 'group_counter': 159, 'group_order': 128, 'label': '64A11', 'order': 64, 'powers': [59], 'representative': 22, 'size': 1}
-
id: 43225197
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 76, 'group_counter': 159, 'group_order': 128, 'label': '64A-11', 'order': 64, 'powers': [60], 'representative': 106, 'size': 1}
-
id: 43225198
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 77, 'group_counter': 159, 'group_order': 128, 'label': '64A13', 'order': 64, 'powers': [61], 'representative': 26, 'size': 1}
-
id: 43225199
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 78, 'group_counter': 159, 'group_order': 128, 'label': '64A-13', 'order': 64, 'powers': [62], 'representative': 102, 'size': 1}
-
id: 43225200
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 79, 'group_counter': 159, 'group_order': 128, 'label': '64A15', 'order': 64, 'powers': [63], 'representative': 30, 'size': 1}
-
id: 43225202
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 80, 'group_counter': 159, 'group_order': 128, 'label': '64A-15', 'order': 64, 'powers': [64], 'representative': 98, 'size': 1}
-
id: 43225203
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 81, 'group_counter': 159, 'group_order': 128, 'label': '64A17', 'order': 64, 'powers': [64], 'representative': 34, 'size': 1}
-
id: 43225204
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 82, 'group_counter': 159, 'group_order': 128, 'label': '64A-17', 'order': 64, 'powers': [63], 'representative': 94, 'size': 1}
-
id: 43225205
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 83, 'group_counter': 159, 'group_order': 128, 'label': '64A19', 'order': 64, 'powers': [62], 'representative': 38, 'size': 1}
-
id: 43225206
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 84, 'group_counter': 159, 'group_order': 128, 'label': '64A-19', 'order': 64, 'powers': [61], 'representative': 90, 'size': 1}
-
id: 43225207
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 85, 'group_counter': 159, 'group_order': 128, 'label': '64A21', 'order': 64, 'powers': [60], 'representative': 42, 'size': 1}
-
id: 43225208
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 86, 'group_counter': 159, 'group_order': 128, 'label': '64A-21', 'order': 64, 'powers': [59], 'representative': 86, 'size': 1}
-
id: 43225209
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 87, 'group_counter': 159, 'group_order': 128, 'label': '64A23', 'order': 64, 'powers': [58], 'representative': 46, 'size': 1}
-
id: 43225210
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 88, 'group_counter': 159, 'group_order': 128, 'label': '64A-23', 'order': 64, 'powers': [57], 'representative': 82, 'size': 1}
-
id: 43225211
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 89, 'group_counter': 159, 'group_order': 128, 'label': '64A25', 'order': 64, 'powers': [56], 'representative': 50, 'size': 1}
-
id: 43225213
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 90, 'group_counter': 159, 'group_order': 128, 'label': '64A-25', 'order': 64, 'powers': [55], 'representative': 78, 'size': 1}
-
id: 43225214
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 91, 'group_counter': 159, 'group_order': 128, 'label': '64A27', 'order': 64, 'powers': [54], 'representative': 54, 'size': 1}
-
id: 43225215
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 92, 'group_counter': 159, 'group_order': 128, 'label': '64A-27', 'order': 64, 'powers': [53], 'representative': 74, 'size': 1}
-
id: 43225216
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 93, 'group_counter': 159, 'group_order': 128, 'label': '64A29', 'order': 64, 'powers': [52], 'representative': 58, 'size': 1}
-
id: 43225217
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 94, 'group_counter': 159, 'group_order': 128, 'label': '64A-29', 'order': 64, 'powers': [51], 'representative': 70, 'size': 1}
-
id: 43225218
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 95, 'group_counter': 159, 'group_order': 128, 'label': '64A31', 'order': 64, 'powers': [50], 'representative': 62, 'size': 1}
-
id: 43225219
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 96, 'group_counter': 159, 'group_order': 128, 'label': '64A-31', 'order': 64, 'powers': [49], 'representative': 66, 'size': 1}
-
id: 43225220
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 97, 'group_counter': 159, 'group_order': 128, 'label': '64B1', 'order': 64, 'powers': [49], 'representative': 3, 'size': 1}
-
id: 43225221
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 98, 'group_counter': 159, 'group_order': 128, 'label': '64B-1', 'order': 64, 'powers': [50], 'representative': 127, 'size': 1}
-
id: 43225222
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 99, 'group_counter': 159, 'group_order': 128, 'label': '64B3', 'order': 64, 'powers': [51], 'representative': 7, 'size': 1}
-
id: 43225097
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 100, 'group_counter': 159, 'group_order': 128, 'label': '64B-3', 'order': 64, 'powers': [52], 'representative': 123, 'size': 1}
-
id: 43225098
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 101, 'group_counter': 159, 'group_order': 128, 'label': '64B5', 'order': 64, 'powers': [53], 'representative': 11, 'size': 1}
-
id: 43225099
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 102, 'group_counter': 159, 'group_order': 128, 'label': '64B-5', 'order': 64, 'powers': [54], 'representative': 119, 'size': 1}
-
id: 43225100
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 103, 'group_counter': 159, 'group_order': 128, 'label': '64B7', 'order': 64, 'powers': [55], 'representative': 15, 'size': 1}
-
id: 43225101
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 104, 'group_counter': 159, 'group_order': 128, 'label': '64B-7', 'order': 64, 'powers': [56], 'representative': 115, 'size': 1}
-
id: 43225102
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 105, 'group_counter': 159, 'group_order': 128, 'label': '64B9', 'order': 64, 'powers': [57], 'representative': 19, 'size': 1}
-
id: 43225103
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 106, 'group_counter': 159, 'group_order': 128, 'label': '64B-9', 'order': 64, 'powers': [58], 'representative': 111, 'size': 1}
-
id: 43225104
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 107, 'group_counter': 159, 'group_order': 128, 'label': '64B11', 'order': 64, 'powers': [59], 'representative': 23, 'size': 1}
-
id: 43225105
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 108, 'group_counter': 159, 'group_order': 128, 'label': '64B-11', 'order': 64, 'powers': [60], 'representative': 107, 'size': 1}
-
id: 43225106
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 109, 'group_counter': 159, 'group_order': 128, 'label': '64B13', 'order': 64, 'powers': [61], 'representative': 27, 'size': 1}
-
id: 43225108
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 110, 'group_counter': 159, 'group_order': 128, 'label': '64B-13', 'order': 64, 'powers': [62], 'representative': 103, 'size': 1}
-
id: 43225109
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 111, 'group_counter': 159, 'group_order': 128, 'label': '64B15', 'order': 64, 'powers': [63], 'representative': 31, 'size': 1}
-
id: 43225110
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 112, 'group_counter': 159, 'group_order': 128, 'label': '64B-15', 'order': 64, 'powers': [64], 'representative': 99, 'size': 1}
-
id: 43225111
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 113, 'group_counter': 159, 'group_order': 128, 'label': '64B17', 'order': 64, 'powers': [64], 'representative': 35, 'size': 1}
-
id: 43225112
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 114, 'group_counter': 159, 'group_order': 128, 'label': '64B-17', 'order': 64, 'powers': [63], 'representative': 95, 'size': 1}
-
id: 43225113
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 115, 'group_counter': 159, 'group_order': 128, 'label': '64B19', 'order': 64, 'powers': [62], 'representative': 39, 'size': 1}
-
id: 43225114
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 116, 'group_counter': 159, 'group_order': 128, 'label': '64B-19', 'order': 64, 'powers': [61], 'representative': 91, 'size': 1}
-
id: 43225115
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 117, 'group_counter': 159, 'group_order': 128, 'label': '64B21', 'order': 64, 'powers': [60], 'representative': 43, 'size': 1}
-
id: 43225116
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 118, 'group_counter': 159, 'group_order': 128, 'label': '64B-21', 'order': 64, 'powers': [59], 'representative': 87, 'size': 1}
-
id: 43225117
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 119, 'group_counter': 159, 'group_order': 128, 'label': '64B23', 'order': 64, 'powers': [58], 'representative': 47, 'size': 1}
-
id: 43225119
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 120, 'group_counter': 159, 'group_order': 128, 'label': '64B-23', 'order': 64, 'powers': [57], 'representative': 83, 'size': 1}
-
id: 43225120
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 121, 'group_counter': 159, 'group_order': 128, 'label': '64B25', 'order': 64, 'powers': [56], 'representative': 51, 'size': 1}
-
id: 43225121
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 122, 'group_counter': 159, 'group_order': 128, 'label': '64B-25', 'order': 64, 'powers': [55], 'representative': 79, 'size': 1}
-
id: 43225122
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 123, 'group_counter': 159, 'group_order': 128, 'label': '64B27', 'order': 64, 'powers': [54], 'representative': 55, 'size': 1}
-
id: 43225123
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 124, 'group_counter': 159, 'group_order': 128, 'label': '64B-27', 'order': 64, 'powers': [53], 'representative': 75, 'size': 1}
-
id: 43225124
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 125, 'group_counter': 159, 'group_order': 128, 'label': '64B29', 'order': 64, 'powers': [52], 'representative': 59, 'size': 1}
-
id: 43225125
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 126, 'group_counter': 159, 'group_order': 128, 'label': '64B-29', 'order': 64, 'powers': [51], 'representative': 71, 'size': 1}
-
id: 43225126
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 127, 'group_counter': 159, 'group_order': 128, 'label': '64B31', 'order': 64, 'powers': [50], 'representative': 63, 'size': 1}
-
id: 43225127
{'aut_label': '64A1', 'centralizer': '1.a1.a1', 'counter': 128, 'group_counter': 159, 'group_order': 128, 'label': '64B-31', 'order': 64, 'powers': [49], 'representative': 67, 'size': 1}
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gps_qchar • Show schema
Hide schema
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id: 78560
{'cdim': 1, 'counter': 1, 'faithful': False, 'group': '128.159', 'group_order': 128, 'image': None, 'label': '128.159.1a', '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], 'schur_index': 1}
-
id: 78566
{'cdim': 1, 'counter': 2, 'faithful': False, 'group': '128.159', 'group_order': 128, 'image': None, 'label': '128.159.1b', '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], 'schur_index': 1}
-
id: 78567
{'cdim': 1, 'counter': 3, 'faithful': False, 'group': '128.159', 'group_order': 128, 'image': None, 'label': '128.159.1c', '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], 'schur_index': 1}
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id: 78568
{'cdim': 1, 'counter': 4, 'faithful': False, 'group': '128.159', 'group_order': 128, 'image': None, 'label': '128.159.1d', '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], 'schur_index': 1}
-
id: 78569
{'cdim': 1, 'counter': 5, 'faithful': False, 'group': '128.159', 'group_order': 128, 'image': None, 'label': '128.159.1e', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [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, 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}
-
id: 78570
{'cdim': 1, 'counter': 6, 'faithful': False, 'group': '128.159', 'group_order': 128, 'image': None, 'label': '128.159.1f', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [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, -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: 78571
{'cdim': 1, 'counter': 7, 'faithful': False, 'group': '128.159', 'group_order': 128, 'image': None, 'label': '128.159.1g', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 4, -4, -4, 4, 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}
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id: 78572
{'cdim': 1, 'counter': 8, 'faithful': False, 'group': '128.159', 'group_order': 128, 'image': None, 'label': '128.159.1h', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, 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}
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id: 78573
{'cdim': 1, 'counter': 9, 'faithful': False, 'group': '128.159', 'group_order': 128, 'image': None, 'label': '128.159.1i', 'multiplicity': 8, 'nt': [16, 1], 'qdim': 8, 'qvalues': [8, -8, 8, -8, 8, -8, -8, 8, -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}
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id: 78561
{'cdim': 1, 'counter': 10, 'faithful': False, 'group': '128.159', 'group_order': 128, 'image': None, 'label': '128.159.1j', 'multiplicity': 8, 'nt': [16, 1], 'qdim': 8, 'qvalues': [8, 8, 8, 8, 8, 8, 8, 8, -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}
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id: 78562
{'cdim': 1, 'counter': 11, 'faithful': False, 'group': '128.159', 'group_order': 128, 'image': None, 'label': '128.159.1k', 'multiplicity': 16, 'nt': [32, 33], 'qdim': 16, 'qvalues': [16, -16, 16, -16, -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], 'schur_index': 1}
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id: 78563
{'cdim': 1, 'counter': 12, 'faithful': False, 'group': '128.159', 'group_order': 128, 'image': None, 'label': '128.159.1l', 'multiplicity': 16, 'nt': [32, 33], 'qdim': 16, 'qvalues': [16, 16, 16, 16, -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], 'schur_index': 1}
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id: 78564
{'cdim': 1, 'counter': 13, 'faithful': False, 'group': '128.159', 'group_order': 128, 'image': None, 'label': '128.159.1m', 'multiplicity': 32, 'nt': [64, 0], 'qdim': 32, 'qvalues': [32, -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], 'schur_index': 1}
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id: 78565
{'cdim': 1, 'counter': 14, 'faithful': False, 'group': '128.159', 'group_order': 128, 'image': None, 'label': '128.159.1n', 'multiplicity': 32, 'nt': [64, 0], 'qdim': 32, 'qvalues': [32, 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], 'schur_index': 1}
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gps_char • Show schema
Hide schema
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id: 66138
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id: 66178
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id: 66189
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1.a1', 'kernel_order': 64, 'label': '128.159.1c', '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]]]}
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id: 66200
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.a1', 'kernel_order': 64, 'label': '128.159.1d', '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]]]}
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id: 66211
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 5, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.b1.a1', 'kernel_order': 32, 'label': '128.159.1e1', '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, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 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: 66222
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 6, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.b1.a1', 'kernel_order': 32, 'label': '128.159.1e2', '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, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 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: 66233
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id: 66244
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id: 66255
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id: 66139
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 10, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.b1.a1', 'kernel_order': 16, 'label': '128.159.1g2', 'nt': [8, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]]]}
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id: 66150
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 11, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.b1.a1', 'kernel_order': 16, 'label': '128.159.1g3', 'nt': [8, 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, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]]]}
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id: 66161
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 12, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.b1.a1', 'kernel_order': 16, 'label': '128.159.1g4', 'nt': [8, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 3]]]}
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id: 66171
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 13, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.a1', 'kernel_order': 16, 'label': '128.159.1h1', 'nt': [8, 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, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]]]}
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id: 66172
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 14, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.a1', 'kernel_order': 16, 'label': '128.159.1h2', 'nt': [8, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]]]}
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id: 66173
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 15, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.a1.a1', 'kernel_order': 16, 'label': '128.159.1h3', 'nt': [8, 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, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]]]}
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id: 66174
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id: 66175
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id: 66176
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id: 66177
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 19, 'cyclotomic_n': 16, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '16.1', 'image_order': 16, 'indicator': 0, 'kernel': '16.b1.a1', 'kernel_order': 8, 'label': '128.159.1i3', 'nt': [16, 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, 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, 6]], [[-1, 6]], [[1, 6]], [[-1, 2]], [[1, 6]], [[-1, 6]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 6]], [[-1, 2]], [[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, 6]], [[1, 2]], [[-1, 6]], [[-1, 5]], [[-1, 3]], [[1, 3]], [[-1, 5]], [[-1, 7]], [[1, 3]], [[1, 5]], [[1, 3]], [[1, 5]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 7]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[1, 7]], [[1, 7]], [[1, 7]], [[-1, 7]], [[-1, 7]], [[-1, 3]], [[-1, 7]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 7]], [[1, 5]], [[1, 1]], [[1, 5]], [[-1, 5]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 5]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 7]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 7]], [[-1, 7]], [[-1, 1]], [[-1, 7]], [[1, 7]], [[1, 7]], [[-1, 5]], [[1, 7]], [[1, 1]], [[1, 5]], [[1, 3]], [[1, 5]], [[-1, 3]], [[-1, 5]], [[-1, 3]], [[-1, 3]]]}
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id: 66179
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id: 66180
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 21, 'cyclotomic_n': 16, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '16.1', 'image_order': 16, 'indicator': 0, 'kernel': '16.b1.a1', 'kernel_order': 8, 'label': '128.159.1i5', 'nt': [16, 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, 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, 6]], [[1, 6]], [[-1, 6]], [[1, 2]], [[-1, 6]], [[1, 6]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 6]], [[1, 2]], [[-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, 6]], [[-1, 2]], [[1, 6]], [[-1, 1]], [[-1, 7]], [[1, 7]], [[-1, 1]], [[1, 3]], [[1, 7]], [[1, 1]], [[1, 7]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 3]], [[1, 5]], [[1, 5]], [[1, 5]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 7]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 7]], [[-1, 5]], [[1, 7]], [[1, 7]], [[-1, 7]], [[1, 5]], [[-1, 7]], [[1, 1]], [[1, 5]], [[-1, 7]], [[1, 5]], [[1, 3]], [[-1, 5]], [[1, 7]], [[-1, 5]], [[-1, 3]], [[1, 3]], [[1, 5]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 5]], [[1, 1]], [[1, 7]], [[1, 1]], [[-1, 7]], [[-1, 1]], [[-1, 7]], [[-1, 7]]]}
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id: 66181
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 22, 'cyclotomic_n': 16, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '16.1', 'image_order': 16, 'indicator': 0, 'kernel': '16.b1.a1', 'kernel_order': 8, 'label': '128.159.1i6', 'nt': [16, 8], '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, 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, 2]], [[-1, 2]], [[1, 2]], [[-1, 6]], [[1, 2]], [[-1, 2]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 2]], [[-1, 6]], [[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, 2]], [[1, 6]], [[-1, 2]], [[1, 7]], [[1, 1]], [[-1, 1]], [[1, 7]], [[-1, 5]], [[-1, 1]], [[-1, 7]], [[-1, 1]], [[-1, 7]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 5]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 7]], [[1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[1, 7]], [[1, 7]], [[-1, 3]], [[1, 7]], [[-1, 5]], [[-1, 7]], [[1, 3]], [[-1, 7]], [[1, 7]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 7]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 5]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 5]], [[-1, 5]], [[-1, 3]], [[-1, 5]], [[1, 5]], [[1, 5]], [[1, 7]], [[1, 5]], [[1, 3]], [[-1, 7]], [[-1, 1]], [[-1, 7]], [[1, 1]], [[1, 7]], [[1, 1]], [[1, 1]]]}
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id: 66182
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 23, 'cyclotomic_n': 16, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '16.1', 'image_order': 16, 'indicator': 0, 'kernel': '16.b1.a1', 'kernel_order': 8, 'label': '128.159.1i7', 'nt': [16, 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, 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, 6]], [[1, 6]], [[-1, 6]], [[1, 2]], [[-1, 6]], [[1, 6]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 6]], [[1, 2]], [[-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, 6]], [[-1, 2]], [[1, 6]], [[1, 1]], [[1, 7]], [[-1, 7]], [[1, 1]], [[-1, 3]], [[-1, 7]], [[-1, 1]], [[-1, 7]], [[-1, 1]], [[1, 5]], [[1, 5]], [[1, 5]], [[1, 3]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 7]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 5]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 7]], [[1, 5]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[-1, 5]], [[1, 7]], [[-1, 1]], [[-1, 5]], [[1, 7]], [[-1, 5]], [[-1, 3]], [[1, 5]], [[-1, 7]], [[1, 5]], [[1, 3]], [[-1, 3]], [[-1, 5]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 5]], [[-1, 1]], [[-1, 7]], [[-1, 1]], [[1, 7]], [[1, 1]], [[1, 7]], [[1, 7]]]}
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id: 66183
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 24, 'cyclotomic_n': 16, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '16.1', 'image_order': 16, 'indicator': 0, 'kernel': '16.b1.a1', 'kernel_order': 8, 'label': '128.159.1i8', 'nt': [16, 8], '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, 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, 2]], [[-1, 2]], [[1, 2]], [[-1, 6]], [[1, 2]], [[-1, 2]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 2]], [[-1, 6]], [[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, 2]], [[1, 6]], [[-1, 2]], [[-1, 7]], [[-1, 1]], [[1, 1]], [[-1, 7]], [[1, 5]], [[1, 1]], [[1, 7]], [[1, 1]], [[1, 7]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 5]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 7]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 1]], [[1, 5]], [[-1, 7]], [[-1, 7]], [[1, 3]], [[-1, 7]], [[1, 5]], [[1, 7]], [[-1, 3]], [[1, 7]], [[-1, 7]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 7]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 5]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 5]], [[1, 5]], [[1, 3]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 7]], [[-1, 5]], [[-1, 3]], [[1, 7]], [[1, 1]], [[1, 7]], [[-1, 1]], [[-1, 7]], [[-1, 1]], [[-1, 1]]]}
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id: 66184
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id: 66185
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id: 66186
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id: 66187
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id: 66188
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 29, 'cyclotomic_n': 16, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '16.1', 'image_order': 16, 'indicator': 0, 'kernel': '16.a1.a1', 'kernel_order': 8, 'label': '128.159.1j5', 'nt': [16, 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, 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, 6]], [[1, 6]], [[1, 6]], [[1, 2]], [[1, 6]], [[-1, 6]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 6]], [[1, 2]], [[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, 6]], [[-1, 2]], [[1, 6]], [[1, 5]], [[-1, 3]], [[1, 3]], [[1, 5]], [[-1, 7]], [[-1, 3]], [[-1, 5]], [[-1, 3]], [[1, 5]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 7]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 5]], [[1, 7]], [[1, 7]], [[1, 7]], [[1, 7]], [[1, 7]], [[-1, 3]], [[1, 7]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[1, 7]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 5]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 7]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 7]], [[-1, 7]], [[1, 1]], [[-1, 7]], [[1, 7]], [[-1, 7]], [[1, 5]], [[-1, 7]], [[1, 1]], [[1, 5]], [[1, 3]], [[1, 5]], [[1, 3]], [[1, 5]], [[-1, 3]], [[-1, 3]]]}
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id: 66190
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 30, 'cyclotomic_n': 16, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '16.1', 'image_order': 16, 'indicator': 0, 'kernel': '16.a1.a1', 'kernel_order': 8, 'label': '128.159.1j6', 'nt': [16, 8], '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, 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, 2]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[-1, 2]], [[1, 2]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 2]], [[-1, 6]], [[-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, 2]], [[1, 6]], [[-1, 2]], [[-1, 3]], [[1, 5]], [[-1, 5]], [[-1, 3]], [[1, 1]], [[1, 5]], [[1, 3]], [[1, 5]], [[-1, 3]], [[-1, 7]], [[1, 7]], [[-1, 7]], [[1, 1]], [[-1, 7]], [[-1, 7]], [[-1, 7]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 7]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 7]], [[1, 3]], [[1, 3]], [[-1, 5]], [[1, 7]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 7]], [[-1, 5]], [[1, 3]], [[1, 7]], [[-1, 5]], [[1, 7]], [[1, 1]], [[1, 7]], [[1, 5]], [[1, 7]], [[1, 1]], [[1, 1]], [[-1, 7]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 7]], [[-1, 3]], [[-1, 5]], [[-1, 3]], [[-1, 5]], [[-1, 3]], [[1, 5]], [[1, 5]]]}
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id: 66191
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 31, 'cyclotomic_n': 16, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '16.1', 'image_order': 16, 'indicator': 0, 'kernel': '16.a1.a1', 'kernel_order': 8, 'label': '128.159.1j7', 'nt': [16, 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, 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, 6]], [[1, 6]], [[1, 6]], [[1, 2]], [[1, 6]], [[-1, 6]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 6]], [[1, 2]], [[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, 6]], [[-1, 2]], [[1, 6]], [[-1, 5]], [[1, 3]], [[-1, 3]], [[-1, 5]], [[1, 7]], [[1, 3]], [[1, 5]], [[1, 3]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 7]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 7]], [[-1, 7]], [[-1, 7]], [[-1, 7]], [[-1, 7]], [[1, 3]], [[-1, 7]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 5]], [[-1, 7]], [[1, 5]], [[-1, 1]], [[1, 5]], [[1, 5]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 5]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 7]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 7]], [[1, 7]], [[-1, 1]], [[1, 7]], [[-1, 7]], [[1, 7]], [[-1, 5]], [[1, 7]], [[-1, 1]], [[-1, 5]], [[-1, 3]], [[-1, 5]], [[-1, 3]], [[-1, 5]], [[1, 3]], [[1, 3]]]}
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id: 66192
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 32, 'cyclotomic_n': 16, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '16.1', 'image_order': 16, 'indicator': 0, 'kernel': '16.a1.a1', 'kernel_order': 8, 'label': '128.159.1j8', 'nt': [16, 8], '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, 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, 2]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[-1, 2]], [[1, 2]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 2]], [[-1, 6]], [[-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, 2]], [[1, 6]], [[-1, 2]], [[1, 3]], [[-1, 5]], [[1, 5]], [[1, 3]], [[-1, 1]], [[-1, 5]], [[-1, 3]], [[-1, 5]], [[1, 3]], [[1, 7]], [[-1, 7]], [[1, 7]], [[-1, 1]], [[1, 7]], [[1, 7]], [[1, 7]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 5]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 7]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 7]], [[-1, 3]], [[-1, 3]], [[1, 5]], [[-1, 7]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 7]], [[1, 5]], [[-1, 3]], [[-1, 7]], [[1, 5]], [[-1, 7]], [[-1, 1]], [[-1, 7]], [[-1, 5]], [[-1, 7]], [[-1, 1]], [[-1, 1]], [[1, 7]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 7]], [[1, 3]], [[1, 5]], [[1, 3]], [[1, 5]], [[1, 3]], [[-1, 5]], [[-1, 5]]]}
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id: 66193
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 33, 'cyclotomic_n': 32, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '32.1', 'image_order': 32, 'indicator': 0, 'kernel': '32.b1.a1', 'kernel_order': 4, 'label': '128.159.1k1', 'nt': [32, 33], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[1, 8]], [[1, 8]], [[1, 12]], [[1, 12]], [[1, 4]], [[1, 12]], [[-1, 12]], [[1, 12]], [[-1, 12]], [[-1, 12]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 12]], [[1, 4]], [[1, 14]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 2]], [[1, 6]], [[-1, 14]], [[-1, 10]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 10]], [[-1, 2]], [[1, 6]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[1, 14]], [[-1, 14]], [[-1, 14]], [[1, 14]], [[-1, 2]], [[1, 10]], [[-1, 14]], [[1, 14]], [[-1, 10]], [[1, 10]], [[1, 10]], [[1, 6]], [[1, 10]], [[-1, 6]], [[1, 13]], [[1, 3]], [[-1, 11]], [[-1, 13]], [[1, 7]], [[-1, 3]], [[1, 5]], [[1, 3]], [[1, 13]], [[1, 9]], [[1, 1]], [[-1, 9]], [[1, 7]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 13]], [[1, 15]], [[1, 15]], [[-1, 15]], [[1, 15]], [[-1, 15]], [[1, 3]], [[1, 15]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 15]], [[1, 5]], [[-1, 9]], [[-1, 5]], [[1, 5]], [[-1, 11]], [[-1, 1]], [[1, 11]], [[-1, 3]], [[1, 11]], [[1, 1]], [[-1, 11]], [[-1, 5]], [[1, 1]], [[-1, 11]], [[-1, 1]], [[-1, 7]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 7]], [[1, 7]], [[-1, 9]], [[-1, 7]], [[-1, 15]], [[-1, 7]], [[1, 13]], [[1, 7]], [[1, 9]], [[1, 13]], [[1, 11]], [[-1, 13]], [[1, 11]], [[-1, 13]], [[-1, 3]], [[-1, 3]]]}
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id: 66203
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id: 66204
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id: 66205
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id: 66206
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id: 66207
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id: 66208
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id: 66209
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id: 66194
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id: 66195
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id: 66196
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id: 66197
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id: 66198
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 38, 'cyclotomic_n': 32, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '32.1', 'image_order': 32, 'indicator': 0, 'kernel': '32.b1.a1', 'kernel_order': 4, 'label': '128.159.1k6', 'nt': [32, 16], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 8]], [[1, 8]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[-1, 8]], [[-1, 4]], [[-1, 4]], [[-1, 12]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 4]], [[1, 4]], [[1, 12]], [[1, 12]], [[-1, 12]], [[-1, 12]], [[1, 12]], [[1, 12]], [[1, 4]], [[-1, 12]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 14]], [[1, 10]], [[-1, 2]], [[-1, 6]], [[1, 14]], [[1, 14]], [[-1, 14]], [[-1, 6]], [[-1, 14]], [[1, 10]], [[-1, 14]], [[1, 14]], [[-1, 6]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 14]], [[1, 6]], [[-1, 2]], [[1, 2]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 10]], [[1, 6]], [[-1, 10]], [[1, 11]], [[1, 5]], [[1, 13]], [[-1, 11]], [[1, 1]], [[-1, 5]], [[-1, 3]], [[1, 5]], [[1, 11]], [[1, 15]], [[-1, 7]], [[-1, 15]], [[1, 1]], [[-1, 15]], [[1, 15]], [[1, 15]], [[-1, 11]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[1, 5]], [[-1, 9]], [[1, 3]], [[1, 3]], [[1, 7]], [[-1, 3]], [[1, 9]], [[-1, 3]], [[-1, 15]], [[1, 3]], [[-1, 3]], [[1, 13]], [[1, 7]], [[-1, 13]], [[-1, 5]], [[-1, 13]], [[-1, 7]], [[1, 13]], [[1, 3]], [[-1, 7]], [[1, 13]], [[1, 7]], [[-1, 1]], [[1, 7]], [[1, 5]], [[-1, 7]], [[-1, 1]], [[1, 1]], [[-1, 15]], [[-1, 1]], [[1, 9]], [[-1, 1]], [[1, 11]], [[1, 1]], [[1, 15]], [[1, 11]], [[-1, 13]], [[-1, 11]], [[-1, 13]], [[-1, 11]], [[-1, 5]], [[-1, 5]]]}
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id: 66199
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 39, 'cyclotomic_n': 32, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '32.1', 'image_order': 32, 'indicator': 0, 'kernel': '32.b1.a1', 'kernel_order': 4, 'label': '128.159.1k7', 'nt': [32, 33], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[1, 8]], [[1, 8]], [[1, 12]], [[1, 12]], [[1, 4]], [[1, 12]], [[-1, 12]], [[1, 12]], [[-1, 12]], [[-1, 12]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 12]], [[1, 4]], [[-1, 14]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 2]], [[-1, 6]], [[1, 14]], [[1, 10]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 10]], [[1, 2]], [[-1, 6]], [[1, 2]], [[-1, 2]], [[1, 10]], [[-1, 14]], [[1, 14]], [[1, 14]], [[-1, 14]], [[1, 2]], [[-1, 10]], [[1, 14]], [[-1, 14]], [[1, 10]], [[-1, 10]], [[-1, 10]], [[-1, 6]], [[-1, 10]], [[1, 6]], [[1, 5]], [[1, 11]], [[1, 3]], [[-1, 5]], [[1, 15]], [[-1, 11]], [[-1, 13]], [[1, 11]], [[1, 5]], [[1, 1]], [[-1, 9]], [[-1, 1]], [[1, 15]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 5]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[-1, 7]], [[1, 7]], [[1, 11]], [[-1, 7]], [[1, 13]], [[1, 13]], [[1, 9]], [[-1, 13]], [[1, 7]], [[-1, 13]], [[-1, 1]], [[1, 13]], [[-1, 13]], [[1, 3]], [[1, 9]], [[-1, 3]], [[-1, 11]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[1, 13]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 15]], [[1, 9]], [[1, 11]], [[-1, 9]], [[-1, 15]], [[1, 15]], [[-1, 1]], [[-1, 15]], [[1, 7]], [[-1, 15]], [[1, 5]], [[1, 15]], [[1, 1]], [[1, 5]], [[-1, 3]], [[-1, 5]], [[-1, 3]], [[-1, 5]], [[-1, 11]], [[-1, 11]]]}
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id: 66201
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 40, 'cyclotomic_n': 32, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '32.1', 'image_order': 32, 'indicator': 0, 'kernel': '32.b1.a1', 'kernel_order': 4, 'label': '128.159.1k8', 'nt': [32, 16], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 8]], [[1, 8]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[-1, 8]], [[-1, 4]], [[-1, 4]], [[-1, 12]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 4]], [[1, 4]], [[1, 12]], [[1, 12]], [[-1, 12]], [[-1, 12]], [[1, 12]], [[1, 12]], [[1, 4]], [[-1, 12]], [[1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 14]], [[1, 10]], [[-1, 2]], [[-1, 6]], [[1, 14]], [[1, 14]], [[-1, 14]], [[-1, 6]], [[-1, 14]], [[1, 10]], [[-1, 14]], [[1, 14]], [[-1, 6]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 14]], [[1, 6]], [[-1, 2]], [[1, 2]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 10]], [[1, 6]], [[-1, 10]], [[-1, 11]], [[-1, 5]], [[-1, 13]], [[1, 11]], [[-1, 1]], [[1, 5]], [[1, 3]], [[-1, 5]], [[-1, 11]], [[-1, 15]], [[1, 7]], [[1, 15]], [[-1, 1]], [[1, 15]], [[-1, 15]], [[-1, 15]], [[1, 11]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[-1, 5]], [[1, 9]], [[-1, 3]], [[-1, 3]], [[-1, 7]], [[1, 3]], [[-1, 9]], [[1, 3]], [[1, 15]], [[-1, 3]], [[1, 3]], [[-1, 13]], [[-1, 7]], [[1, 13]], [[1, 5]], [[1, 13]], [[1, 7]], [[-1, 13]], [[-1, 3]], [[1, 7]], [[-1, 13]], [[-1, 7]], [[1, 1]], [[-1, 7]], [[-1, 5]], [[1, 7]], [[1, 1]], [[-1, 1]], [[1, 15]], [[1, 1]], [[-1, 9]], [[1, 1]], [[-1, 11]], [[-1, 1]], [[-1, 15]], [[-1, 11]], [[1, 13]], [[1, 11]], [[1, 13]], [[1, 11]], [[1, 5]], [[1, 5]]]}
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id: 66202
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 41, 'cyclotomic_n': 32, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '32.1', 'image_order': 32, 'indicator': 0, 'kernel': '32.b1.a1', 'kernel_order': 4, 'label': '128.159.1k9', 'nt': [32, 33], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[1, 8]], [[1, 8]], [[-1, 12]], [[-1, 12]], [[-1, 4]], [[-1, 12]], [[1, 12]], [[-1, 12]], [[1, 12]], [[1, 12]], [[1, 4]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[1, 4]], [[1, 12]], [[-1, 4]], [[-1, 6]], [[-1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[-1, 10]], [[1, 14]], [[1, 6]], [[-1, 2]], [[-1, 10]], [[-1, 10]], [[1, 10]], [[-1, 2]], [[1, 10]], [[1, 14]], [[1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 10]], [[1, 2]], [[1, 6]], [[-1, 6]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 14]], [[1, 2]], [[-1, 14]], [[1, 9]], [[1, 7]], [[-1, 15]], [[-1, 9]], [[-1, 11]], [[-1, 7]], [[1, 1]], [[1, 7]], [[1, 9]], [[-1, 5]], [[1, 13]], [[1, 5]], [[-1, 11]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 9]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 7]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 13]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 15]], [[-1, 13]], [[1, 15]], [[-1, 7]], [[1, 15]], [[1, 13]], [[-1, 15]], [[-1, 1]], [[1, 13]], [[-1, 15]], [[-1, 13]], [[1, 11]], [[-1, 13]], [[1, 7]], [[1, 13]], [[1, 11]], [[-1, 11]], [[1, 5]], [[1, 11]], [[-1, 3]], [[1, 11]], [[1, 9]], [[-1, 11]], [[-1, 5]], [[1, 9]], [[1, 15]], [[-1, 9]], [[1, 15]], [[-1, 9]], [[-1, 7]], [[-1, 7]]]}
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id: 66210
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 49, 'cyclotomic_n': 32, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '32.1', 'image_order': 32, 'indicator': 0, 'kernel': '32.a1.a1', 'kernel_order': 4, 'label': '128.159.1l1', 'nt': [32, 33], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[1, 8]], [[-1, 8]], [[1, 8]], [[1, 12]], [[-1, 12]], [[-1, 4]], [[1, 12]], [[-1, 12]], [[-1, 12]], [[1, 12]], [[-1, 12]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 4]], [[1, 12]], [[1, 4]], [[1, 14]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 2]], [[-1, 6]], [[1, 14]], [[-1, 10]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 2]], [[1, 6]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 2]], [[-1, 10]], [[-1, 14]], [[-1, 14]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[-1, 6]], [[1, 10]], [[-1, 6]], [[-1, 5]], [[1, 11]], [[1, 3]], [[1, 5]], [[1, 15]], [[1, 11]], [[1, 13]], [[-1, 11]], [[1, 5]], [[1, 1]], [[1, 9]], [[-1, 1]], [[-1, 15]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[1, 7]], [[-1, 7]], [[1, 11]], [[1, 7]], [[1, 13]], [[1, 13]], [[1, 9]], [[-1, 13]], [[-1, 7]], [[1, 13]], [[-1, 1]], [[-1, 13]], [[-1, 13]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 11]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[-1, 13]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[-1, 15]], [[-1, 9]], [[-1, 11]], [[1, 9]], [[1, 15]], [[1, 15]], [[1, 1]], [[-1, 15]], [[1, 7]], [[1, 15]], [[-1, 5]], [[-1, 15]], [[1, 1]], [[1, 5]], [[-1, 3]], [[-1, 5]], [[1, 3]], [[1, 5]], [[-1, 11]], [[-1, 11]]]}
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id: 66220
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 58, 'cyclotomic_n': 32, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '32.1', 'image_order': 32, 'indicator': 0, 'kernel': '32.a1.a1', 'kernel_order': 4, 'label': '128.159.1l10', 'nt': [32, 16], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 8]], [[-1, 8]], [[1, 8]], [[1, 8]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[1, 4]], [[-1, 4]], [[-1, 12]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[-1, 12]], [[1, 12]], [[-1, 12]], [[1, 12]], [[-1, 12]], [[1, 12]], [[1, 4]], [[1, 12]], [[1, 10]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 6]], [[1, 2]], [[1, 10]], [[1, 14]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 14]], [[1, 6]], [[-1, 2]], [[-1, 6]], [[-1, 6]], [[-1, 14]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 6]], [[1, 14]], [[-1, 10]], [[-1, 10]], [[1, 14]], [[-1, 14]], [[1, 14]], [[1, 2]], [[-1, 14]], [[1, 2]], [[1, 15]], [[-1, 1]], [[-1, 9]], [[-1, 15]], [[-1, 13]], [[-1, 1]], [[-1, 7]], [[1, 1]], [[-1, 15]], [[-1, 3]], [[1, 11]], [[1, 3]], [[1, 13]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 15]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 7]], [[-1, 7]], [[1, 11]], [[1, 7]], [[-1, 5]], [[-1, 7]], [[1, 3]], [[1, 7]], [[1, 7]], [[-1, 9]], [[-1, 11]], [[1, 9]], [[-1, 1]], [[-1, 9]], [[-1, 11]], [[1, 9]], [[1, 7]], [[-1, 11]], [[1, 9]], [[1, 11]], [[1, 13]], [[-1, 11]], [[1, 1]], [[1, 11]], [[-1, 13]], [[-1, 13]], [[-1, 3]], [[1, 13]], [[1, 5]], [[-1, 13]], [[1, 15]], [[1, 13]], [[-1, 3]], [[-1, 15]], [[1, 9]], [[1, 15]], [[-1, 9]], [[-1, 15]], [[1, 1]], [[1, 1]]]}
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id: 66221
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 59, 'cyclotomic_n': 32, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '32.1', 'image_order': 32, 'indicator': 0, 'kernel': '32.a1.a1', 'kernel_order': 4, 'label': '128.159.1l11', 'nt': [32, 33], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[1, 8]], [[-1, 8]], [[1, 8]], [[-1, 12]], [[1, 12]], [[1, 4]], [[-1, 12]], [[1, 12]], [[1, 12]], [[-1, 12]], [[1, 12]], [[1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[-1, 12]], [[-1, 4]], [[-1, 6]], [[1, 14]], [[-1, 14]], [[1, 14]], [[1, 14]], [[-1, 10]], [[-1, 14]], [[-1, 6]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 10]], [[1, 2]], [[-1, 10]], [[1, 14]], [[1, 10]], [[1, 10]], [[1, 2]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 10]], [[-1, 2]], [[1, 6]], [[1, 6]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 14]], [[1, 2]], [[-1, 14]], [[1, 1]], [[-1, 15]], [[-1, 7]], [[-1, 1]], [[-1, 3]], [[-1, 15]], [[-1, 9]], [[1, 15]], [[-1, 1]], [[-1, 13]], [[1, 5]], [[1, 13]], [[1, 3]], [[-1, 13]], [[1, 13]], [[1, 13]], [[1, 1]], [[-1, 11]], [[-1, 11]], [[1, 11]], [[1, 11]], [[-1, 11]], [[-1, 15]], [[1, 11]], [[-1, 9]], [[-1, 9]], [[1, 5]], [[1, 9]], [[-1, 11]], [[-1, 9]], [[1, 13]], [[1, 9]], [[1, 9]], [[-1, 7]], [[-1, 5]], [[1, 7]], [[-1, 15]], [[-1, 7]], [[-1, 5]], [[1, 7]], [[1, 9]], [[-1, 5]], [[1, 7]], [[1, 5]], [[1, 3]], [[-1, 5]], [[1, 15]], [[1, 5]], [[-1, 3]], [[-1, 3]], [[-1, 13]], [[1, 3]], [[1, 11]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 13]], [[-1, 1]], [[1, 7]], [[1, 1]], [[-1, 7]], [[-1, 1]], [[1, 15]], [[1, 15]]]}
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id: 66223
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id: 66224
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 61, 'cyclotomic_n': 32, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '32.1', 'image_order': 32, 'indicator': 0, 'kernel': '32.a1.a1', 'kernel_order': 4, 'label': '128.159.1l13', 'nt': [32, 33], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[1, 8]], [[-1, 8]], [[1, 8]], [[-1, 12]], [[1, 12]], [[1, 4]], [[-1, 12]], [[1, 12]], [[1, 12]], [[-1, 12]], [[1, 12]], [[1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[-1, 12]], [[-1, 4]], [[1, 6]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[-1, 14]], [[1, 10]], [[1, 14]], [[1, 6]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[-1, 14]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 10]], [[1, 2]], [[-1, 6]], [[-1, 6]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 14]], [[-1, 2]], [[1, 14]], [[1, 9]], [[-1, 7]], [[1, 15]], [[-1, 9]], [[1, 11]], [[-1, 7]], [[1, 1]], [[1, 7]], [[-1, 9]], [[1, 5]], [[1, 13]], [[-1, 5]], [[-1, 11]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 9]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 7]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 13]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[1, 15]], [[-1, 13]], [[-1, 15]], [[-1, 7]], [[1, 15]], [[-1, 13]], [[-1, 15]], [[-1, 1]], [[-1, 13]], [[-1, 15]], [[1, 13]], [[-1, 11]], [[-1, 13]], [[1, 7]], [[1, 13]], [[1, 11]], [[1, 11]], [[1, 5]], [[-1, 11]], [[1, 3]], [[1, 11]], [[1, 9]], [[-1, 11]], [[1, 5]], [[-1, 9]], [[-1, 15]], [[1, 9]], [[1, 15]], [[-1, 9]], [[1, 7]], [[1, 7]]]}
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id: 66225
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 62, 'cyclotomic_n': 32, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '32.1', 'image_order': 32, 'indicator': 0, 'kernel': '32.a1.a1', 'kernel_order': 4, 'label': '128.159.1l14', 'nt': [32, 16], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 8]], [[-1, 8]], [[1, 8]], [[1, 8]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[1, 4]], [[-1, 4]], [[-1, 12]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[-1, 12]], [[1, 12]], [[-1, 12]], [[1, 12]], [[-1, 12]], [[1, 12]], [[1, 4]], [[1, 12]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 6]], [[-1, 2]], [[-1, 10]], [[-1, 14]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 14]], [[-1, 6]], [[1, 2]], [[1, 6]], [[1, 6]], [[1, 14]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 6]], [[-1, 14]], [[1, 10]], [[1, 10]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[-1, 2]], [[1, 14]], [[-1, 2]], [[-1, 7]], [[1, 9]], [[-1, 1]], [[1, 7]], [[-1, 5]], [[1, 9]], [[-1, 15]], [[-1, 9]], [[1, 7]], [[-1, 11]], [[-1, 3]], [[1, 11]], [[1, 5]], [[-1, 11]], [[1, 11]], [[1, 11]], [[-1, 7]], [[1, 13]], [[1, 13]], [[-1, 13]], [[-1, 13]], [[1, 13]], [[1, 9]], [[-1, 13]], [[-1, 15]], [[-1, 15]], [[-1, 3]], [[1, 15]], [[1, 13]], [[-1, 15]], [[1, 11]], [[1, 15]], [[1, 15]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 9]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 15]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 5]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[-1, 5]], [[-1, 5]], [[-1, 11]], [[1, 5]], [[-1, 13]], [[-1, 5]], [[-1, 7]], [[1, 5]], [[-1, 11]], [[1, 7]], [[1, 1]], [[-1, 7]], [[-1, 1]], [[1, 7]], [[-1, 9]], [[-1, 9]]]}
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id: 66226
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 63, 'cyclotomic_n': 32, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '32.1', 'image_order': 32, 'indicator': 0, 'kernel': '32.a1.a1', 'kernel_order': 4, 'label': '128.159.1l15', 'nt': [32, 33], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[1, 8]], [[-1, 8]], [[1, 8]], [[-1, 12]], [[1, 12]], [[1, 4]], [[-1, 12]], [[1, 12]], [[1, 12]], [[-1, 12]], [[1, 12]], [[1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[-1, 12]], [[-1, 4]], [[1, 6]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[-1, 14]], [[1, 10]], [[1, 14]], [[1, 6]], [[1, 2]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[-1, 2]], [[1, 10]], [[-1, 14]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 10]], [[1, 2]], [[-1, 6]], [[-1, 6]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 14]], [[-1, 2]], [[1, 14]], [[-1, 9]], [[1, 7]], [[-1, 15]], [[1, 9]], [[-1, 11]], [[1, 7]], [[-1, 1]], [[-1, 7]], [[1, 9]], [[-1, 5]], [[-1, 13]], [[1, 5]], [[1, 11]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 9]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 7]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 13]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 5]], [[1, 1]], [[1, 1]], [[-1, 15]], [[1, 13]], [[1, 15]], [[1, 7]], [[-1, 15]], [[1, 13]], [[1, 15]], [[1, 1]], [[1, 13]], [[1, 15]], [[-1, 13]], [[1, 11]], [[1, 13]], [[-1, 7]], [[-1, 13]], [[-1, 11]], [[-1, 11]], [[-1, 5]], [[1, 11]], [[-1, 3]], [[-1, 11]], [[-1, 9]], [[1, 11]], [[-1, 5]], [[1, 9]], [[1, 15]], [[-1, 9]], [[-1, 15]], [[1, 9]], [[-1, 7]], [[-1, 7]]]}
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id: 66227
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 64, 'cyclotomic_n': 32, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '32.1', 'image_order': 32, 'indicator': 0, 'kernel': '32.a1.a1', 'kernel_order': 4, 'label': '128.159.1l16', 'nt': [32, 16], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 8]], [[-1, 8]], [[1, 8]], [[1, 8]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[1, 4]], [[-1, 4]], [[-1, 12]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[-1, 12]], [[1, 12]], [[-1, 12]], [[1, 12]], [[-1, 12]], [[1, 12]], [[1, 4]], [[1, 12]], [[-1, 10]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 6]], [[-1, 2]], [[-1, 10]], [[-1, 14]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 14]], [[-1, 6]], [[1, 2]], [[1, 6]], [[1, 6]], [[1, 14]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[1, 10]], [[-1, 6]], [[-1, 14]], [[1, 10]], [[1, 10]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[-1, 2]], [[1, 14]], [[-1, 2]], [[1, 7]], [[-1, 9]], [[1, 1]], [[-1, 7]], [[1, 5]], [[-1, 9]], [[1, 15]], [[1, 9]], [[-1, 7]], [[1, 11]], [[1, 3]], [[-1, 11]], [[-1, 5]], [[1, 11]], [[-1, 11]], [[-1, 11]], [[1, 7]], [[-1, 13]], [[-1, 13]], [[1, 13]], [[1, 13]], [[-1, 13]], [[-1, 9]], [[1, 13]], [[1, 15]], [[1, 15]], [[1, 3]], [[-1, 15]], [[-1, 13]], [[1, 15]], [[-1, 11]], [[-1, 15]], [[-1, 15]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 9]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 15]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 5]], [[-1, 3]], [[1, 9]], [[1, 3]], [[1, 5]], [[1, 5]], [[1, 11]], [[-1, 5]], [[1, 13]], [[1, 5]], [[1, 7]], [[-1, 5]], [[1, 11]], [[-1, 7]], [[-1, 1]], [[1, 7]], [[1, 1]], [[-1, 7]], [[1, 9]], [[1, 9]]]}
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id: 66212
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 50, 'cyclotomic_n': 32, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '32.1', 'image_order': 32, 'indicator': 0, 'kernel': '32.a1.a1', 'kernel_order': 4, 'label': '128.159.1l2', 'nt': [32, 16], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 8]], [[-1, 8]], [[1, 8]], [[1, 8]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[-1, 4]], [[1, 4]], [[1, 12]], [[-1, 4]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 4]], [[1, 12]], [[-1, 12]], [[1, 12]], [[-1, 12]], [[1, 12]], [[-1, 12]], [[-1, 4]], [[-1, 12]], [[-1, 2]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[-1, 10]], [[-1, 14]], [[1, 10]], [[-1, 2]], [[1, 6]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 6]], [[-1, 14]], [[-1, 10]], [[1, 14]], [[1, 14]], [[-1, 6]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 14]], [[1, 6]], [[1, 2]], [[1, 2]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 10]], [[-1, 6]], [[1, 10]], [[1, 11]], [[-1, 5]], [[-1, 13]], [[-1, 11]], [[-1, 1]], [[-1, 5]], [[-1, 3]], [[1, 5]], [[-1, 11]], [[-1, 15]], [[-1, 7]], [[1, 15]], [[1, 1]], [[-1, 15]], [[1, 15]], [[1, 15]], [[1, 11]], [[1, 9]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[-1, 5]], [[-1, 9]], [[-1, 3]], [[-1, 3]], [[-1, 7]], [[1, 3]], [[1, 9]], [[-1, 3]], [[1, 15]], [[1, 3]], [[1, 3]], [[-1, 13]], [[1, 7]], [[1, 13]], [[-1, 5]], [[-1, 13]], [[1, 7]], [[1, 13]], [[1, 3]], [[1, 7]], [[1, 13]], [[-1, 7]], [[1, 1]], [[1, 7]], [[1, 5]], [[-1, 7]], [[-1, 1]], [[-1, 1]], [[-1, 15]], [[1, 1]], [[-1, 9]], [[-1, 1]], [[1, 11]], [[1, 1]], [[-1, 15]], [[-1, 11]], [[1, 13]], [[1, 11]], [[-1, 13]], [[-1, 11]], [[1, 5]], [[1, 5]]]}
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id: 66213
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 51, 'cyclotomic_n': 32, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '32.1', 'image_order': 32, 'indicator': 0, 'kernel': '32.a1.a1', 'kernel_order': 4, 'label': '128.159.1l3', 'nt': [32, 33], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[1, 8]], [[-1, 8]], [[1, 8]], [[1, 12]], [[-1, 12]], [[-1, 4]], [[1, 12]], [[-1, 12]], [[-1, 12]], [[1, 12]], [[-1, 12]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 4]], [[1, 12]], [[1, 4]], [[1, 14]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[1, 2]], [[-1, 6]], [[1, 14]], [[-1, 10]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 10]], [[1, 2]], [[1, 6]], [[-1, 2]], [[-1, 2]], [[1, 10]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 2]], [[-1, 10]], [[-1, 14]], [[-1, 14]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[-1, 6]], [[1, 10]], [[-1, 6]], [[1, 5]], [[-1, 11]], [[-1, 3]], [[-1, 5]], [[-1, 15]], [[-1, 11]], [[-1, 13]], [[1, 11]], [[-1, 5]], [[-1, 1]], [[-1, 9]], [[1, 1]], [[1, 15]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 5]], [[1, 7]], [[1, 7]], [[-1, 7]], [[-1, 7]], [[1, 7]], [[-1, 11]], [[-1, 7]], [[-1, 13]], [[-1, 13]], [[-1, 9]], [[1, 13]], [[1, 7]], [[-1, 13]], [[1, 1]], [[1, 13]], [[1, 13]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 11]], [[-1, 3]], [[1, 9]], [[1, 3]], [[1, 13]], [[1, 9]], [[1, 3]], [[-1, 9]], [[1, 15]], [[1, 9]], [[1, 11]], [[-1, 9]], [[-1, 15]], [[-1, 15]], [[-1, 1]], [[1, 15]], [[-1, 7]], [[-1, 15]], [[1, 5]], [[1, 15]], [[-1, 1]], [[-1, 5]], [[1, 3]], [[1, 5]], [[-1, 3]], [[-1, 5]], [[1, 11]], [[1, 11]]]}
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id: 66214
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 52, 'cyclotomic_n': 32, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '32.1', 'image_order': 32, 'indicator': 0, 'kernel': '32.a1.a1', 'kernel_order': 4, 'label': '128.159.1l4', 'nt': [32, 16], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 8]], [[-1, 8]], [[1, 8]], [[1, 8]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[-1, 4]], [[1, 4]], [[1, 12]], [[-1, 4]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 4]], [[1, 12]], [[-1, 12]], [[1, 12]], [[-1, 12]], [[1, 12]], [[-1, 12]], [[-1, 4]], [[-1, 12]], [[-1, 2]], [[-1, 10]], [[1, 10]], [[-1, 10]], [[-1, 10]], [[-1, 14]], [[1, 10]], [[-1, 2]], [[1, 6]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 6]], [[-1, 14]], [[-1, 10]], [[1, 14]], [[1, 14]], [[-1, 6]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 14]], [[1, 6]], [[1, 2]], [[1, 2]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 10]], [[-1, 6]], [[1, 10]], [[-1, 11]], [[1, 5]], [[1, 13]], [[1, 11]], [[1, 1]], [[1, 5]], [[1, 3]], [[-1, 5]], [[1, 11]], [[1, 15]], [[1, 7]], [[-1, 15]], [[-1, 1]], [[1, 15]], [[-1, 15]], [[-1, 15]], [[-1, 11]], [[-1, 9]], [[-1, 9]], [[1, 9]], [[1, 9]], [[-1, 9]], [[1, 5]], [[1, 9]], [[1, 3]], [[1, 3]], [[1, 7]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[-1, 15]], [[-1, 3]], [[-1, 3]], [[1, 13]], [[-1, 7]], [[-1, 13]], [[1, 5]], [[1, 13]], [[-1, 7]], [[-1, 13]], [[-1, 3]], [[-1, 7]], [[-1, 13]], [[1, 7]], [[-1, 1]], [[-1, 7]], [[-1, 5]], [[1, 7]], [[1, 1]], [[1, 1]], [[1, 15]], [[-1, 1]], [[1, 9]], [[1, 1]], [[-1, 11]], [[-1, 1]], [[1, 15]], [[1, 11]], [[-1, 13]], [[-1, 11]], [[1, 13]], [[1, 11]], [[-1, 5]], [[-1, 5]]]}
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id: 66215
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 53, 'cyclotomic_n': 32, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '32.1', 'image_order': 32, 'indicator': 0, 'kernel': '32.a1.a1', 'kernel_order': 4, 'label': '128.159.1l5', 'nt': [32, 33], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[1, 8]], [[-1, 8]], [[1, 8]], [[1, 12]], [[-1, 12]], [[-1, 4]], [[1, 12]], [[-1, 12]], [[-1, 12]], [[1, 12]], [[-1, 12]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 4]], [[1, 12]], [[1, 4]], [[-1, 14]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 2]], [[1, 6]], [[-1, 14]], [[1, 10]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[-1, 6]], [[1, 2]], [[1, 2]], [[-1, 10]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 2]], [[1, 10]], [[1, 14]], [[1, 14]], [[1, 10]], [[-1, 10]], [[1, 10]], [[1, 6]], [[-1, 10]], [[1, 6]], [[1, 13]], [[-1, 3]], [[1, 11]], [[-1, 13]], [[-1, 7]], [[-1, 3]], [[1, 5]], [[1, 3]], [[-1, 13]], [[-1, 9]], [[1, 1]], [[1, 9]], [[1, 7]], [[-1, 9]], [[1, 9]], [[1, 9]], [[1, 13]], [[-1, 15]], [[-1, 15]], [[1, 15]], [[1, 15]], [[-1, 15]], [[-1, 3]], [[1, 15]], [[1, 5]], [[1, 5]], [[1, 1]], [[-1, 5]], [[-1, 15]], [[1, 5]], [[1, 9]], [[-1, 5]], [[-1, 5]], [[1, 11]], [[-1, 1]], [[-1, 11]], [[-1, 3]], [[1, 11]], [[-1, 1]], [[-1, 11]], [[-1, 5]], [[-1, 1]], [[-1, 11]], [[1, 1]], [[1, 7]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 7]], [[-1, 7]], [[-1, 9]], [[1, 7]], [[1, 15]], [[-1, 7]], [[1, 13]], [[1, 7]], [[-1, 9]], [[-1, 13]], [[-1, 11]], [[1, 13]], [[1, 11]], [[-1, 13]], [[1, 3]], [[1, 3]]]}
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id: 66216
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id: 66217
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 55, 'cyclotomic_n': 32, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '32.1', 'image_order': 32, 'indicator': 0, 'kernel': '32.a1.a1', 'kernel_order': 4, 'label': '128.159.1l7', 'nt': [32, 33], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[1, 8]], [[-1, 8]], [[1, 8]], [[1, 12]], [[-1, 12]], [[-1, 4]], [[1, 12]], [[-1, 12]], [[-1, 12]], [[1, 12]], [[-1, 12]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 4]], [[1, 12]], [[1, 4]], [[-1, 14]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 2]], [[1, 6]], [[-1, 14]], [[1, 10]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 10]], [[-1, 2]], [[-1, 6]], [[1, 2]], [[1, 2]], [[-1, 10]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 14]], [[-1, 2]], [[1, 10]], [[1, 14]], [[1, 14]], [[1, 10]], [[-1, 10]], [[1, 10]], [[1, 6]], [[-1, 10]], [[1, 6]], [[-1, 13]], [[1, 3]], [[-1, 11]], [[1, 13]], [[1, 7]], [[1, 3]], [[-1, 5]], [[-1, 3]], [[1, 13]], [[1, 9]], [[-1, 1]], [[-1, 9]], [[-1, 7]], [[1, 9]], [[-1, 9]], [[-1, 9]], [[-1, 13]], [[1, 15]], [[1, 15]], [[-1, 15]], [[-1, 15]], [[1, 15]], [[1, 3]], [[-1, 15]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 15]], [[-1, 5]], [[-1, 9]], [[1, 5]], [[1, 5]], [[-1, 11]], [[1, 1]], [[1, 11]], [[1, 3]], [[-1, 11]], [[1, 1]], [[1, 11]], [[1, 5]], [[1, 1]], [[1, 11]], [[-1, 1]], [[-1, 7]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 7]], [[1, 7]], [[1, 9]], [[-1, 7]], [[-1, 15]], [[1, 7]], [[-1, 13]], [[-1, 7]], [[1, 9]], [[1, 13]], [[1, 11]], [[-1, 13]], [[-1, 11]], [[1, 13]], [[-1, 3]], [[-1, 3]]]}
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id: 66218
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 56, 'cyclotomic_n': 32, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '32.1', 'image_order': 32, 'indicator': 0, 'kernel': '32.a1.a1', 'kernel_order': 4, 'label': '128.159.1l8', 'nt': [32, 16], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 8]], [[-1, 8]], [[1, 8]], [[1, 8]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[-1, 4]], [[1, 4]], [[1, 12]], [[-1, 4]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 4]], [[1, 12]], [[-1, 12]], [[1, 12]], [[-1, 12]], [[1, 12]], [[-1, 12]], [[-1, 4]], [[-1, 12]], [[1, 2]], [[1, 10]], [[-1, 10]], [[1, 10]], [[1, 10]], [[1, 14]], [[-1, 10]], [[1, 2]], [[-1, 6]], [[-1, 14]], [[1, 14]], [[-1, 14]], [[1, 6]], [[1, 14]], [[1, 10]], [[-1, 14]], [[-1, 14]], [[1, 6]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 14]], [[-1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 10]], [[1, 6]], [[-1, 10]], [[1, 3]], [[-1, 13]], [[1, 5]], [[-1, 3]], [[-1, 9]], [[-1, 13]], [[1, 11]], [[1, 13]], [[-1, 3]], [[-1, 7]], [[1, 15]], [[1, 7]], [[1, 9]], [[-1, 7]], [[1, 7]], [[1, 7]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 13]], [[1, 1]], [[1, 11]], [[1, 11]], [[1, 15]], [[-1, 11]], [[-1, 1]], [[1, 11]], [[1, 7]], [[-1, 11]], [[-1, 11]], [[1, 5]], [[-1, 15]], [[-1, 5]], [[-1, 13]], [[1, 5]], [[-1, 15]], [[-1, 5]], [[-1, 11]], [[-1, 15]], [[-1, 5]], [[1, 15]], [[1, 9]], [[-1, 15]], [[1, 13]], [[1, 15]], [[-1, 9]], [[-1, 9]], [[-1, 7]], [[1, 9]], [[1, 1]], [[-1, 9]], [[1, 3]], [[1, 9]], [[-1, 7]], [[-1, 3]], [[-1, 5]], [[1, 3]], [[1, 5]], [[-1, 3]], [[1, 13]], [[1, 13]]]}
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id: 66219
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 57, 'cyclotomic_n': 32, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '32.1', 'image_order': 32, 'indicator': 0, 'kernel': '32.a1.a1', 'kernel_order': 4, 'label': '128.159.1l9', 'nt': [32, 33], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[1, 8]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[1, 8]], [[-1, 8]], [[1, 8]], [[-1, 12]], [[1, 12]], [[1, 4]], [[-1, 12]], [[1, 12]], [[1, 12]], [[-1, 12]], [[1, 12]], [[1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[-1, 12]], [[-1, 4]], [[-1, 6]], [[1, 14]], [[-1, 14]], [[1, 14]], [[1, 14]], [[-1, 10]], [[-1, 14]], [[-1, 6]], [[-1, 2]], [[1, 10]], [[-1, 10]], [[1, 10]], [[1, 2]], [[-1, 10]], [[1, 14]], [[1, 10]], [[1, 10]], [[1, 2]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 10]], [[-1, 2]], [[1, 6]], [[1, 6]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 14]], [[1, 2]], [[-1, 14]], [[-1, 1]], [[1, 15]], [[1, 7]], [[1, 1]], [[1, 3]], [[1, 15]], [[1, 9]], [[-1, 15]], [[1, 1]], [[1, 13]], [[-1, 5]], [[-1, 13]], [[-1, 3]], [[1, 13]], [[-1, 13]], [[-1, 13]], [[-1, 1]], [[1, 11]], [[1, 11]], [[-1, 11]], [[-1, 11]], [[1, 11]], [[1, 15]], [[-1, 11]], [[1, 9]], [[1, 9]], [[-1, 5]], [[-1, 9]], [[1, 11]], [[1, 9]], [[-1, 13]], [[-1, 9]], [[-1, 9]], [[1, 7]], [[1, 5]], [[-1, 7]], [[1, 15]], [[1, 7]], [[1, 5]], [[-1, 7]], [[-1, 9]], [[1, 5]], [[-1, 7]], [[-1, 5]], [[-1, 3]], [[1, 5]], [[-1, 15]], [[-1, 5]], [[1, 3]], [[1, 3]], [[1, 13]], [[-1, 3]], [[-1, 11]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 13]], [[1, 1]], [[-1, 7]], [[-1, 1]], [[1, 7]], [[1, 1]], [[-1, 15]], [[-1, 15]]]}
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id: 66228
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 65, 'cyclotomic_n': 64, 'dim': 1, 'faithful': False, '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, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '64.1', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 2, 'label': '128.159.1m1', 'nt': [64, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 16]], [[-1, 16]], [[1, 16]], [[1, 16]], [[-1, 8]], [[-1, 24]], [[-1, 8]], [[1, 8]], [[1, 24]], [[1, 24]], [[1, 8]], [[-1, 24]], [[-1, 4]], [[-1, 20]], [[-1, 28]], [[1, 4]], [[1, 20]], [[1, 20]], [[1, 4]], [[-1, 20]], [[-1, 28]], [[1, 12]], [[1, 28]], [[1, 12]], [[1, 28]], [[-1, 12]], [[-1, 4]], [[-1, 12]], [[-1, 10]], [[1, 18]], [[1, 2]], [[1, 18]], [[-1, 18]], [[-1, 6]], [[-1, 2]], [[-1, 10]], [[-1, 14]], [[-1, 22]], [[1, 6]], [[1, 22]], [[1, 30]], [[1, 6]], [[-1, 18]], [[-1, 22]], [[1, 22]], [[-1, 30]], [[1, 10]], [[1, 26]], [[1, 10]], [[-1, 26]], [[-1, 6]], [[-1, 14]], [[-1, 26]], [[1, 26]], [[1, 14]], [[1, 30]], [[1, 14]], [[1, 2]], [[-1, 30]], [[-1, 2]], [[-1, 15]], [[-1, 17]], [[1, 25]], [[1, 31]], [[1, 29]], [[-1, 17]], [[1, 23]], [[-1, 1]], [[1, 31]], [[-1, 19]], [[1, 11]], [[-1, 3]], [[1, 13]], [[-1, 19]], [[1, 3]], [[-1, 3]], [[1, 15]], [[-1, 21]], [[1, 21]], [[-1, 5]], [[1, 5]], [[-1, 21]], [[1, 17]], [[-1, 5]], [[1, 23]], [[-1, 23]], [[1, 11]], [[-1, 7]], [[1, 21]], [[-1, 23]], [[1, 3]], [[-1, 7]], [[1, 7]], [[-1, 25]], [[1, 27]], [[-1, 9]], [[1, 17]], [[-1, 25]], [[1, 27]], [[-1, 9]], [[1, 7]], [[-1, 27]], [[1, 9]], [[-1, 11]], [[1, 13]], [[-1, 27]], [[1, 1]], [[-1, 11]], [[1, 29]], [[-1, 29]], [[1, 19]], [[-1, 13]], [[1, 5]], [[-1, 29]], [[1, 15]], [[-1, 13]], [[1, 19]], [[-1, 31]], [[1, 9]], [[-1, 15]], [[1, 25]], [[-1, 31]], [[1, 1]], [[-1, 1]]]}
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id: 66238
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 74, 'cyclotomic_n': 64, 'dim': 1, 'faithful': False, '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, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '64.1', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 2, 'label': '128.159.1m10', 'nt': [64, 32], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 16]], [[1, 16]], [[-1, 16]], [[-1, 16]], [[1, 24]], [[1, 8]], [[1, 24]], [[-1, 24]], [[-1, 8]], [[-1, 8]], [[-1, 24]], [[1, 8]], [[-1, 28]], [[-1, 12]], [[-1, 4]], [[1, 28]], [[1, 12]], [[1, 12]], [[1, 28]], [[-1, 12]], [[-1, 4]], [[1, 20]], [[1, 4]], [[1, 20]], [[1, 4]], [[-1, 20]], [[-1, 28]], [[-1, 20]], [[-1, 6]], [[-1, 30]], [[1, 14]], [[-1, 30]], [[1, 30]], [[1, 10]], [[-1, 14]], [[-1, 6]], [[1, 2]], [[-1, 26]], [[-1, 10]], [[1, 26]], [[1, 18]], [[-1, 10]], [[1, 30]], [[-1, 26]], [[1, 26]], [[-1, 18]], [[1, 6]], [[-1, 22]], [[1, 6]], [[1, 22]], [[1, 10]], [[1, 2]], [[1, 22]], [[-1, 22]], [[-1, 2]], [[1, 18]], [[-1, 2]], [[1, 14]], [[-1, 18]], [[-1, 14]], [[-1, 9]], [[-1, 23]], [[1, 15]], [[-1, 25]], [[-1, 11]], [[-1, 23]], [[1, 1]], [[1, 7]], [[-1, 25]], [[1, 5]], [[-1, 13]], [[1, 21]], [[-1, 27]], [[1, 5]], [[-1, 21]], [[1, 21]], [[1, 9]], [[1, 19]], [[-1, 19]], [[-1, 3]], [[1, 3]], [[1, 19]], [[1, 23]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 13]], [[-1, 17]], [[-1, 19]], [[-1, 1]], [[-1, 21]], [[-1, 17]], [[1, 17]], [[-1, 15]], [[1, 29]], [[-1, 31]], [[1, 23]], [[-1, 15]], [[1, 29]], [[-1, 31]], [[1, 17]], [[-1, 29]], [[1, 31]], [[1, 13]], [[-1, 27]], [[-1, 29]], [[-1, 7]], [[1, 13]], [[-1, 11]], [[1, 11]], [[-1, 5]], [[1, 27]], [[1, 3]], [[1, 11]], [[1, 9]], [[1, 27]], [[-1, 5]], [[1, 25]], [[1, 31]], [[-1, 9]], [[1, 15]], [[1, 25]], [[-1, 7]], [[1, 7]]]}
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id: 66239
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 75, 'cyclotomic_n': 64, 'dim': 1, 'faithful': False, '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, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '64.1', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 2, 'label': '128.159.1m11', 'nt': [64, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 16]], [[-1, 16]], [[1, 16]], [[1, 16]], [[-1, 8]], [[-1, 24]], [[-1, 8]], [[1, 8]], [[1, 24]], [[1, 24]], [[1, 8]], [[-1, 24]], [[1, 4]], [[1, 20]], [[1, 28]], [[-1, 4]], [[-1, 20]], [[-1, 20]], [[-1, 4]], [[1, 20]], [[1, 28]], [[-1, 12]], [[-1, 28]], [[-1, 12]], [[-1, 28]], [[1, 12]], [[1, 4]], [[1, 12]], [[1, 26]], [[1, 2]], [[-1, 18]], [[1, 2]], [[-1, 2]], [[-1, 22]], [[1, 18]], [[1, 26]], [[-1, 30]], [[1, 6]], [[1, 22]], [[-1, 6]], [[-1, 14]], [[1, 22]], [[-1, 2]], [[1, 6]], [[-1, 6]], [[1, 14]], [[-1, 26]], [[1, 10]], [[-1, 26]], [[-1, 10]], [[-1, 22]], [[-1, 30]], [[-1, 10]], [[1, 10]], [[1, 30]], [[-1, 14]], [[1, 30]], [[-1, 18]], [[1, 14]], [[1, 18]], [[-1, 23]], [[-1, 9]], [[1, 17]], [[-1, 7]], [[-1, 21]], [[-1, 9]], [[1, 31]], [[1, 25]], [[-1, 7]], [[1, 27]], [[-1, 19]], [[1, 11]], [[-1, 5]], [[1, 27]], [[-1, 11]], [[1, 11]], [[1, 23]], [[1, 13]], [[-1, 13]], [[-1, 29]], [[1, 29]], [[1, 13]], [[1, 9]], [[-1, 29]], [[1, 31]], [[-1, 31]], [[-1, 19]], [[-1, 15]], [[-1, 13]], [[-1, 31]], [[-1, 11]], [[-1, 15]], [[1, 15]], [[-1, 17]], [[1, 3]], [[-1, 1]], [[1, 9]], [[-1, 17]], [[1, 3]], [[-1, 1]], [[1, 15]], [[-1, 3]], [[1, 1]], [[1, 19]], [[-1, 5]], [[-1, 3]], [[-1, 25]], [[1, 19]], [[-1, 21]], [[1, 21]], [[-1, 27]], [[1, 5]], [[1, 29]], [[1, 21]], [[1, 23]], [[1, 5]], [[-1, 27]], [[1, 7]], [[1, 1]], [[-1, 23]], [[1, 17]], [[1, 7]], [[-1, 25]], [[1, 25]]]}
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id: 66240
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 76, 'cyclotomic_n': 64, 'dim': 1, 'faithful': False, '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, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '64.1', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 2, 'label': '128.159.1m12', 'nt': [64, 32], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 16]], [[1, 16]], [[-1, 16]], [[-1, 16]], [[1, 24]], [[1, 8]], [[1, 24]], [[-1, 24]], [[-1, 8]], [[-1, 8]], [[-1, 24]], [[1, 8]], [[-1, 28]], [[-1, 12]], [[-1, 4]], [[1, 28]], [[1, 12]], [[1, 12]], [[1, 28]], [[-1, 12]], [[-1, 4]], [[1, 20]], [[1, 4]], [[1, 20]], [[1, 4]], [[-1, 20]], [[-1, 28]], [[-1, 20]], [[-1, 6]], [[-1, 30]], [[1, 14]], [[-1, 30]], [[1, 30]], [[1, 10]], [[-1, 14]], [[-1, 6]], [[1, 2]], [[-1, 26]], [[-1, 10]], [[1, 26]], [[1, 18]], [[-1, 10]], [[1, 30]], [[-1, 26]], [[1, 26]], [[-1, 18]], [[1, 6]], [[-1, 22]], [[1, 6]], [[1, 22]], [[1, 10]], [[1, 2]], [[1, 22]], [[-1, 22]], [[-1, 2]], [[1, 18]], [[-1, 2]], [[1, 14]], [[-1, 18]], [[-1, 14]], [[1, 9]], [[1, 23]], [[-1, 15]], [[1, 25]], [[1, 11]], [[1, 23]], [[-1, 1]], [[-1, 7]], [[1, 25]], [[-1, 5]], [[1, 13]], [[-1, 21]], [[1, 27]], [[-1, 5]], [[1, 21]], [[-1, 21]], [[-1, 9]], [[-1, 19]], [[1, 19]], [[1, 3]], [[-1, 3]], [[-1, 19]], [[-1, 23]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 13]], [[1, 17]], [[1, 19]], [[1, 1]], [[1, 21]], [[1, 17]], [[-1, 17]], [[1, 15]], [[-1, 29]], [[1, 31]], [[-1, 23]], [[1, 15]], [[-1, 29]], [[1, 31]], [[-1, 17]], [[1, 29]], [[-1, 31]], [[-1, 13]], [[1, 27]], [[1, 29]], [[1, 7]], [[-1, 13]], [[1, 11]], [[-1, 11]], [[1, 5]], [[-1, 27]], [[-1, 3]], [[-1, 11]], [[-1, 9]], [[-1, 27]], [[1, 5]], [[-1, 25]], [[-1, 31]], [[1, 9]], [[-1, 15]], [[-1, 25]], [[1, 7]], [[-1, 7]]]}
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id: 66241
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id: 66242
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id: 66243
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id: 66245
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id: 66246
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id: 66247
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id: 66248
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id: 66229
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id: 66249
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id: 66250
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id: 66251
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id: 66252
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id: 66253
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id: 66254
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id: 66256
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id: 66257
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id: 66258
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id: 66259
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id: 66230
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 67, 'cyclotomic_n': 64, 'dim': 1, 'faithful': False, '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, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '64.1', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 2, 'label': '128.159.1m3', 'nt': [64, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 16]], [[-1, 16]], [[1, 16]], [[1, 16]], [[-1, 8]], [[-1, 24]], [[-1, 8]], [[1, 8]], [[1, 24]], [[1, 24]], [[1, 8]], [[-1, 24]], [[-1, 4]], [[-1, 20]], [[-1, 28]], [[1, 4]], [[1, 20]], [[1, 20]], [[1, 4]], [[-1, 20]], [[-1, 28]], [[1, 12]], [[1, 28]], [[1, 12]], [[1, 28]], [[-1, 12]], [[-1, 4]], [[-1, 12]], [[-1, 10]], [[1, 18]], [[1, 2]], [[1, 18]], [[-1, 18]], [[-1, 6]], [[-1, 2]], [[-1, 10]], [[-1, 14]], [[-1, 22]], [[1, 6]], [[1, 22]], [[1, 30]], [[1, 6]], [[-1, 18]], [[-1, 22]], [[1, 22]], [[-1, 30]], [[1, 10]], [[1, 26]], [[1, 10]], [[-1, 26]], [[-1, 6]], [[-1, 14]], [[-1, 26]], [[1, 26]], [[1, 14]], [[1, 30]], [[1, 14]], [[1, 2]], [[-1, 30]], [[-1, 2]], [[1, 15]], [[1, 17]], [[-1, 25]], [[-1, 31]], [[-1, 29]], [[1, 17]], [[-1, 23]], [[1, 1]], [[-1, 31]], [[1, 19]], [[-1, 11]], [[1, 3]], [[-1, 13]], [[1, 19]], [[-1, 3]], [[1, 3]], [[-1, 15]], [[1, 21]], [[-1, 21]], [[1, 5]], [[-1, 5]], [[1, 21]], [[-1, 17]], [[1, 5]], [[-1, 23]], [[1, 23]], [[-1, 11]], [[1, 7]], [[-1, 21]], [[1, 23]], [[-1, 3]], [[1, 7]], [[-1, 7]], [[1, 25]], [[-1, 27]], [[1, 9]], [[-1, 17]], [[1, 25]], [[-1, 27]], [[1, 9]], [[-1, 7]], [[1, 27]], [[-1, 9]], [[1, 11]], [[-1, 13]], [[1, 27]], [[-1, 1]], [[1, 11]], [[-1, 29]], [[1, 29]], [[-1, 19]], [[1, 13]], [[-1, 5]], [[1, 29]], [[-1, 15]], [[1, 13]], [[-1, 19]], [[1, 31]], [[-1, 9]], [[1, 15]], [[-1, 25]], [[1, 31]], [[-1, 1]], [[1, 1]]]}
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id: 66260
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 94, 'cyclotomic_n': 64, 'dim': 1, 'faithful': False, '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, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '64.1', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 2, 'label': '128.159.1m30', 'nt': [64, 32], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 16]], [[1, 16]], [[-1, 16]], [[-1, 16]], [[-1, 24]], [[-1, 8]], [[-1, 24]], [[1, 24]], [[1, 8]], [[1, 8]], [[1, 24]], [[-1, 8]], [[1, 12]], [[-1, 28]], [[1, 20]], [[-1, 12]], [[1, 28]], [[1, 28]], [[-1, 12]], [[-1, 28]], [[1, 20]], [[1, 4]], [[-1, 20]], [[1, 4]], [[-1, 20]], [[-1, 4]], [[1, 12]], [[-1, 4]], [[1, 14]], [[1, 6]], [[1, 22]], [[1, 6]], [[-1, 6]], [[-1, 2]], [[-1, 22]], [[1, 14]], [[-1, 26]], [[1, 18]], [[1, 2]], [[-1, 18]], [[1, 10]], [[1, 2]], [[-1, 6]], [[1, 18]], [[-1, 18]], [[-1, 10]], [[-1, 14]], [[1, 30]], [[-1, 14]], [[-1, 30]], [[-1, 2]], [[-1, 26]], [[-1, 30]], [[1, 30]], [[1, 26]], [[1, 10]], [[1, 26]], [[1, 22]], [[-1, 10]], [[-1, 22]], [[-1, 5]], [[-1, 27]], [[-1, 19]], [[-1, 21]], [[1, 31]], [[-1, 27]], [[1, 29]], [[1, 11]], [[-1, 21]], [[1, 17]], [[1, 25]], [[-1, 1]], [[-1, 15]], [[1, 17]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 7]], [[1, 7]], [[-1, 23]], [[1, 23]], [[-1, 7]], [[1, 27]], [[-1, 23]], [[1, 29]], [[-1, 29]], [[1, 25]], [[1, 13]], [[1, 7]], [[-1, 29]], [[1, 1]], [[1, 13]], [[-1, 13]], [[1, 19]], [[1, 9]], [[-1, 3]], [[1, 27]], [[1, 19]], [[1, 9]], [[-1, 3]], [[-1, 13]], [[-1, 9]], [[1, 3]], [[-1, 25]], [[-1, 15]], [[-1, 9]], [[-1, 11]], [[-1, 25]], [[1, 31]], [[-1, 31]], [[-1, 17]], [[1, 15]], [[1, 23]], [[-1, 31]], [[1, 5]], [[1, 15]], [[-1, 17]], [[1, 21]], [[1, 3]], [[-1, 5]], [[-1, 19]], [[1, 21]], [[-1, 11]], [[1, 11]]]}
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id: 66261
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 95, 'cyclotomic_n': 64, 'dim': 1, 'faithful': False, '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, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '64.1', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 2, 'label': '128.159.1m31', 'nt': [64, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 16]], [[-1, 16]], [[1, 16]], [[1, 16]], [[1, 8]], [[1, 24]], [[1, 8]], [[-1, 8]], [[-1, 24]], [[-1, 24]], [[-1, 8]], [[1, 24]], [[-1, 20]], [[1, 4]], [[-1, 12]], [[1, 20]], [[-1, 4]], [[-1, 4]], [[1, 20]], [[1, 4]], [[-1, 12]], [[-1, 28]], [[1, 12]], [[-1, 28]], [[1, 12]], [[1, 28]], [[-1, 20]], [[1, 28]], [[-1, 18]], [[-1, 26]], [[-1, 10]], [[-1, 26]], [[1, 26]], [[1, 30]], [[1, 10]], [[-1, 18]], [[1, 6]], [[-1, 14]], [[-1, 30]], [[1, 14]], [[-1, 22]], [[-1, 30]], [[1, 26]], [[-1, 14]], [[1, 14]], [[1, 22]], [[1, 18]], [[-1, 2]], [[1, 18]], [[1, 2]], [[1, 30]], [[1, 6]], [[1, 2]], [[-1, 2]], [[-1, 6]], [[-1, 22]], [[-1, 6]], [[-1, 10]], [[1, 22]], [[1, 10]], [[-1, 27]], [[-1, 5]], [[-1, 13]], [[-1, 11]], [[1, 1]], [[-1, 5]], [[1, 3]], [[1, 21]], [[-1, 11]], [[1, 15]], [[1, 7]], [[-1, 31]], [[-1, 17]], [[1, 15]], [[1, 31]], [[-1, 31]], [[1, 27]], [[-1, 25]], [[1, 25]], [[-1, 9]], [[1, 9]], [[-1, 25]], [[1, 5]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[1, 7]], [[1, 19]], [[1, 25]], [[-1, 3]], [[1, 31]], [[1, 19]], [[-1, 19]], [[1, 13]], [[1, 23]], [[-1, 29]], [[1, 5]], [[1, 13]], [[1, 23]], [[-1, 29]], [[-1, 19]], [[-1, 23]], [[1, 29]], [[-1, 7]], [[-1, 17]], [[-1, 23]], [[-1, 21]], [[-1, 7]], [[1, 1]], [[-1, 1]], [[-1, 15]], [[1, 17]], [[1, 9]], [[-1, 1]], [[1, 27]], [[1, 17]], [[-1, 15]], [[1, 11]], [[1, 29]], [[-1, 27]], [[-1, 13]], [[1, 11]], [[-1, 21]], [[1, 21]]]}
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id: 66262
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 96, 'cyclotomic_n': 64, 'dim': 1, 'faithful': False, '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, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '64.1', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 2, 'label': '128.159.1m32', 'nt': [64, 32], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 16]], [[1, 16]], [[-1, 16]], [[-1, 16]], [[-1, 24]], [[-1, 8]], [[-1, 24]], [[1, 24]], [[1, 8]], [[1, 8]], [[1, 24]], [[-1, 8]], [[1, 12]], [[-1, 28]], [[1, 20]], [[-1, 12]], [[1, 28]], [[1, 28]], [[-1, 12]], [[-1, 28]], [[1, 20]], [[1, 4]], [[-1, 20]], [[1, 4]], [[-1, 20]], [[-1, 4]], [[1, 12]], [[-1, 4]], [[1, 14]], [[1, 6]], [[1, 22]], [[1, 6]], [[-1, 6]], [[-1, 2]], [[-1, 22]], [[1, 14]], [[-1, 26]], [[1, 18]], [[1, 2]], [[-1, 18]], [[1, 10]], [[1, 2]], [[-1, 6]], [[1, 18]], [[-1, 18]], [[-1, 10]], [[-1, 14]], [[1, 30]], [[-1, 14]], [[-1, 30]], [[-1, 2]], [[-1, 26]], [[-1, 30]], [[1, 30]], [[1, 26]], [[1, 10]], [[1, 26]], [[1, 22]], [[-1, 10]], [[-1, 22]], [[1, 5]], [[1, 27]], [[1, 19]], [[1, 21]], [[-1, 31]], [[1, 27]], [[-1, 29]], [[-1, 11]], [[1, 21]], [[-1, 17]], [[-1, 25]], [[1, 1]], [[1, 15]], [[-1, 17]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 7]], [[-1, 7]], [[1, 23]], [[-1, 23]], [[1, 7]], [[-1, 27]], [[1, 23]], [[-1, 29]], [[1, 29]], [[-1, 25]], [[-1, 13]], [[-1, 7]], [[1, 29]], [[-1, 1]], [[-1, 13]], [[1, 13]], [[-1, 19]], [[-1, 9]], [[1, 3]], [[-1, 27]], [[-1, 19]], [[-1, 9]], [[1, 3]], [[1, 13]], [[1, 9]], [[-1, 3]], [[1, 25]], [[1, 15]], [[1, 9]], [[1, 11]], [[1, 25]], [[-1, 31]], [[1, 31]], [[1, 17]], [[-1, 15]], [[-1, 23]], [[1, 31]], [[-1, 5]], [[-1, 15]], [[1, 17]], [[-1, 21]], [[-1, 3]], [[1, 5]], [[1, 19]], [[-1, 21]], [[1, 11]], [[-1, 11]]]}
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id: 66231
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 68, 'cyclotomic_n': 64, 'dim': 1, 'faithful': False, '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, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '64.1', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 2, 'label': '128.159.1m4', 'nt': [64, 32], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 16]], [[1, 16]], [[-1, 16]], [[-1, 16]], [[1, 24]], [[1, 8]], [[1, 24]], [[-1, 24]], [[-1, 8]], [[-1, 8]], [[-1, 24]], [[1, 8]], [[1, 28]], [[1, 12]], [[1, 4]], [[-1, 28]], [[-1, 12]], [[-1, 12]], [[-1, 28]], [[1, 12]], [[1, 4]], [[-1, 20]], [[-1, 4]], [[-1, 20]], [[-1, 4]], [[1, 20]], [[1, 28]], [[1, 20]], [[1, 22]], [[-1, 14]], [[-1, 30]], [[-1, 14]], [[1, 14]], [[1, 26]], [[1, 30]], [[1, 22]], [[1, 18]], [[1, 10]], [[-1, 26]], [[-1, 10]], [[-1, 2]], [[-1, 26]], [[1, 14]], [[1, 10]], [[-1, 10]], [[1, 2]], [[-1, 22]], [[-1, 6]], [[-1, 22]], [[1, 6]], [[1, 26]], [[1, 18]], [[1, 6]], [[-1, 6]], [[-1, 18]], [[-1, 2]], [[-1, 18]], [[-1, 30]], [[1, 2]], [[1, 30]], [[-1, 17]], [[-1, 15]], [[1, 7]], [[1, 1]], [[1, 3]], [[-1, 15]], [[1, 9]], [[-1, 31]], [[1, 1]], [[-1, 13]], [[1, 21]], [[-1, 29]], [[1, 19]], [[-1, 13]], [[1, 29]], [[-1, 29]], [[1, 17]], [[-1, 11]], [[1, 11]], [[-1, 27]], [[1, 27]], [[-1, 11]], [[1, 15]], [[-1, 27]], [[1, 9]], [[-1, 9]], [[1, 21]], [[-1, 25]], [[1, 11]], [[-1, 9]], [[1, 29]], [[-1, 25]], [[1, 25]], [[-1, 7]], [[1, 5]], [[-1, 23]], [[1, 15]], [[-1, 7]], [[1, 5]], [[-1, 23]], [[1, 25]], [[-1, 5]], [[1, 23]], [[-1, 21]], [[1, 19]], [[-1, 5]], [[1, 31]], [[-1, 21]], [[1, 3]], [[-1, 3]], [[1, 13]], [[-1, 19]], [[1, 27]], [[-1, 3]], [[1, 17]], [[-1, 19]], [[1, 13]], [[-1, 1]], [[1, 23]], [[-1, 17]], [[1, 7]], [[-1, 1]], [[1, 31]], [[-1, 31]]]}
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id: 66232
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 69, 'cyclotomic_n': 64, 'dim': 1, 'faithful': False, '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, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '64.1', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 2, 'label': '128.159.1m5', 'nt': [64, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 16]], [[-1, 16]], [[1, 16]], [[1, 16]], [[-1, 8]], [[-1, 24]], [[-1, 8]], [[1, 8]], [[1, 24]], [[1, 24]], [[1, 8]], [[-1, 24]], [[-1, 4]], [[-1, 20]], [[-1, 28]], [[1, 4]], [[1, 20]], [[1, 20]], [[1, 4]], [[-1, 20]], [[-1, 28]], [[1, 12]], [[1, 28]], [[1, 12]], [[1, 28]], [[-1, 12]], [[-1, 4]], [[-1, 12]], [[1, 10]], [[-1, 18]], [[-1, 2]], [[-1, 18]], [[1, 18]], [[1, 6]], [[1, 2]], [[1, 10]], [[1, 14]], [[1, 22]], [[-1, 6]], [[-1, 22]], [[-1, 30]], [[-1, 6]], [[1, 18]], [[1, 22]], [[-1, 22]], [[1, 30]], [[-1, 10]], [[-1, 26]], [[-1, 10]], [[1, 26]], [[1, 6]], [[1, 14]], [[1, 26]], [[-1, 26]], [[-1, 14]], [[-1, 30]], [[-1, 14]], [[-1, 2]], [[1, 30]], [[1, 2]], [[1, 31]], [[1, 1]], [[-1, 9]], [[1, 15]], [[-1, 13]], [[1, 1]], [[1, 7]], [[-1, 17]], [[1, 15]], [[-1, 3]], [[-1, 27]], [[1, 19]], [[1, 29]], [[-1, 3]], [[-1, 19]], [[1, 19]], [[-1, 31]], [[1, 5]], [[-1, 5]], [[-1, 21]], [[1, 21]], [[1, 5]], [[-1, 1]], [[-1, 21]], [[1, 7]], [[-1, 7]], [[-1, 27]], [[1, 23]], [[-1, 5]], [[-1, 7]], [[-1, 19]], [[1, 23]], [[-1, 23]], [[1, 9]], [[1, 11]], [[-1, 25]], [[-1, 1]], [[1, 9]], [[1, 11]], [[-1, 25]], [[-1, 23]], [[-1, 11]], [[1, 25]], [[1, 27]], [[1, 29]], [[-1, 11]], [[1, 17]], [[1, 27]], [[-1, 13]], [[1, 13]], [[1, 3]], [[-1, 29]], [[1, 21]], [[1, 13]], [[-1, 31]], [[-1, 29]], [[1, 3]], [[-1, 15]], [[1, 25]], [[1, 31]], [[-1, 9]], [[-1, 15]], [[1, 17]], [[-1, 17]]]}
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id: 66234
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id: 66235
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id: 66236
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id: 66237
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id: 66263
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id: 66146
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id: 66147
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id: 66148
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id: 66149
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id: 66151
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id: 66152
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id: 66153
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id: 66154
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id: 66155
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id: 66156
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id: 66264
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id: 66157
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id: 66158
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id: 66159
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id: 66160
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id: 66162
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id: 66163
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id: 66164
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id: 66165
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id: 66166
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id: 66167
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id: 66265
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id: 66168
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id: 66169
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id: 66170
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id: 66140
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id: 66141
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id: 66142
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 102, 'cyclotomic_n': 64, 'dim': 1, 'faithful': False, '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, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '64.1', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.b1', 'kernel_order': 2, 'label': '128.159.1n6', 'nt': [64, 32], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 16]], [[-1, 16]], [[1, 16]], [[-1, 16]], [[1, 24]], [[-1, 8]], [[-1, 24]], [[-1, 24]], [[-1, 8]], [[1, 8]], [[1, 24]], [[1, 8]], [[1, 28]], [[-1, 12]], [[-1, 4]], [[-1, 28]], [[-1, 12]], [[1, 12]], [[1, 28]], [[1, 12]], [[1, 4]], [[1, 20]], [[1, 4]], [[-1, 20]], [[-1, 4]], [[-1, 20]], [[-1, 28]], [[1, 20]], [[-1, 22]], [[-1, 14]], [[1, 30]], [[1, 14]], [[1, 14]], [[-1, 26]], [[1, 30]], [[1, 22]], [[-1, 18]], [[1, 10]], [[1, 26]], [[1, 10]], [[-1, 2]], [[-1, 26]], [[-1, 14]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[1, 22]], [[1, 6]], [[-1, 22]], [[1, 6]], [[1, 26]], [[1, 18]], [[-1, 6]], [[-1, 6]], [[1, 18]], [[1, 2]], [[-1, 18]], [[-1, 30]], [[-1, 2]], [[-1, 30]], [[1, 17]], [[-1, 15]], [[1, 7]], [[-1, 1]], [[1, 3]], [[1, 15]], [[-1, 9]], [[1, 31]], [[1, 1]], [[-1, 13]], [[-1, 21]], [[-1, 29]], [[-1, 19]], [[1, 13]], [[-1, 29]], [[1, 29]], [[1, 17]], [[-1, 11]], [[1, 11]], [[-1, 27]], [[-1, 27]], [[1, 11]], [[1, 15]], [[1, 27]], [[1, 9]], [[-1, 9]], [[1, 21]], [[-1, 25]], [[-1, 11]], [[1, 9]], [[1, 29]], [[1, 25]], [[1, 25]], [[-1, 7]], [[-1, 5]], [[-1, 23]], [[-1, 15]], [[1, 7]], [[1, 5]], [[1, 23]], [[-1, 25]], [[-1, 5]], [[-1, 23]], [[-1, 21]], [[1, 19]], [[1, 5]], [[-1, 31]], [[1, 21]], [[-1, 3]], [[-1, 3]], [[-1, 13]], [[-1, 19]], [[1, 27]], [[1, 3]], [[-1, 17]], [[1, 19]], [[1, 13]], [[-1, 1]], [[1, 23]], [[-1, 17]], [[-1, 7]], [[1, 1]], [[1, 31]], [[-1, 31]]]}
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id: 66143
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 103, 'cyclotomic_n': 64, 'dim': 1, 'faithful': False, '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, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '64.1', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.b1', 'kernel_order': 2, 'label': '128.159.1n7', 'nt': [64, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 16]], [[1, 16]], [[-1, 16]], [[1, 16]], [[-1, 8]], [[1, 24]], [[1, 8]], [[1, 8]], [[1, 24]], [[-1, 24]], [[-1, 8]], [[-1, 24]], [[-1, 4]], [[1, 20]], [[1, 28]], [[1, 4]], [[1, 20]], [[-1, 20]], [[-1, 4]], [[-1, 20]], [[-1, 28]], [[-1, 12]], [[-1, 28]], [[1, 12]], [[1, 28]], [[1, 12]], [[1, 4]], [[-1, 12]], [[1, 10]], [[1, 18]], [[-1, 2]], [[-1, 18]], [[-1, 18]], [[1, 6]], [[-1, 2]], [[-1, 10]], [[1, 14]], [[-1, 22]], [[-1, 6]], [[-1, 22]], [[1, 30]], [[1, 6]], [[1, 18]], [[1, 22]], [[1, 22]], [[-1, 30]], [[-1, 10]], [[-1, 26]], [[1, 10]], [[-1, 26]], [[-1, 6]], [[-1, 14]], [[1, 26]], [[1, 26]], [[-1, 14]], [[-1, 30]], [[1, 14]], [[1, 2]], [[1, 30]], [[1, 2]], [[1, 15]], [[-1, 17]], [[1, 25]], [[-1, 31]], [[1, 29]], [[1, 17]], [[-1, 23]], [[1, 1]], [[1, 31]], [[-1, 19]], [[-1, 11]], [[-1, 3]], [[-1, 13]], [[1, 19]], [[-1, 3]], [[1, 3]], [[1, 15]], [[-1, 21]], [[1, 21]], [[-1, 5]], [[-1, 5]], [[1, 21]], [[1, 17]], [[1, 5]], [[1, 23]], [[-1, 23]], [[1, 11]], [[-1, 7]], [[-1, 21]], [[1, 23]], [[1, 3]], [[1, 7]], [[1, 7]], [[-1, 25]], [[-1, 27]], [[-1, 9]], [[-1, 17]], [[1, 25]], [[1, 27]], [[1, 9]], [[-1, 7]], [[-1, 27]], [[-1, 9]], [[-1, 11]], [[1, 13]], [[1, 27]], [[-1, 1]], [[1, 11]], [[-1, 29]], [[-1, 29]], [[-1, 19]], [[-1, 13]], [[1, 5]], [[1, 29]], [[-1, 15]], [[1, 13]], [[1, 19]], [[-1, 31]], [[1, 9]], [[-1, 15]], [[-1, 25]], [[1, 31]], [[1, 1]], [[-1, 1]]]}
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id: 66144
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 104, 'cyclotomic_n': 64, 'dim': 1, 'faithful': False, '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, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '64.1', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.b1', 'kernel_order': 2, 'label': '128.159.1n8', 'nt': [64, 32], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 16]], [[-1, 16]], [[1, 16]], [[-1, 16]], [[1, 24]], [[-1, 8]], [[-1, 24]], [[-1, 24]], [[-1, 8]], [[1, 8]], [[1, 24]], [[1, 8]], [[1, 28]], [[-1, 12]], [[-1, 4]], [[-1, 28]], [[-1, 12]], [[1, 12]], [[1, 28]], [[1, 12]], [[1, 4]], [[1, 20]], [[1, 4]], [[-1, 20]], [[-1, 4]], [[-1, 20]], [[-1, 28]], [[1, 20]], [[-1, 22]], [[-1, 14]], [[1, 30]], [[1, 14]], [[1, 14]], [[-1, 26]], [[1, 30]], [[1, 22]], [[-1, 18]], [[1, 10]], [[1, 26]], [[1, 10]], [[-1, 2]], [[-1, 26]], [[-1, 14]], [[-1, 10]], [[-1, 10]], [[1, 2]], [[1, 22]], [[1, 6]], [[-1, 22]], [[1, 6]], [[1, 26]], [[1, 18]], [[-1, 6]], [[-1, 6]], [[1, 18]], [[1, 2]], [[-1, 18]], [[-1, 30]], [[-1, 2]], [[-1, 30]], [[-1, 17]], [[1, 15]], [[-1, 7]], [[1, 1]], [[-1, 3]], [[-1, 15]], [[1, 9]], [[-1, 31]], [[-1, 1]], [[1, 13]], [[1, 21]], [[1, 29]], [[1, 19]], [[-1, 13]], [[1, 29]], [[-1, 29]], [[-1, 17]], [[1, 11]], [[-1, 11]], [[1, 27]], [[1, 27]], [[-1, 11]], [[-1, 15]], [[-1, 27]], [[-1, 9]], [[1, 9]], [[-1, 21]], [[1, 25]], [[1, 11]], [[-1, 9]], [[-1, 29]], [[-1, 25]], [[-1, 25]], [[1, 7]], [[1, 5]], [[1, 23]], [[1, 15]], [[-1, 7]], [[-1, 5]], [[-1, 23]], [[1, 25]], [[1, 5]], [[1, 23]], [[1, 21]], [[-1, 19]], [[-1, 5]], [[1, 31]], [[-1, 21]], [[1, 3]], [[1, 3]], [[1, 13]], [[1, 19]], [[-1, 27]], [[-1, 3]], [[1, 17]], [[-1, 19]], [[-1, 13]], [[1, 1]], [[-1, 23]], [[1, 17]], [[1, 7]], [[-1, 1]], [[-1, 31]], [[1, 31]]]}
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id: 66145
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 128, 'counter': 105, 'cyclotomic_n': 64, 'dim': 1, 'faithful': False, '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, 1], 'group': '128.159', 'group_counter': 159, 'group_order': 128, 'image': None, 'image_isoclass': '64.1', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.b1', 'kernel_order': 2, 'label': '128.159.1n9', 'nt': [64, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 16]], [[1, 16]], [[-1, 16]], [[1, 16]], [[-1, 8]], [[1, 24]], [[1, 8]], [[1, 8]], [[1, 24]], [[-1, 24]], [[-1, 8]], [[-1, 24]], [[1, 4]], [[-1, 20]], [[-1, 28]], [[-1, 4]], [[-1, 20]], [[1, 20]], [[1, 4]], [[1, 20]], [[1, 28]], [[1, 12]], [[1, 28]], [[-1, 12]], [[-1, 28]], [[-1, 12]], [[-1, 4]], [[1, 12]], [[1, 26]], [[-1, 2]], [[-1, 18]], [[1, 2]], [[1, 2]], [[-1, 22]], [[-1, 18]], [[-1, 26]], [[-1, 30]], [[-1, 6]], [[1, 22]], [[-1, 6]], [[1, 14]], [[-1, 22]], [[-1, 2]], [[1, 6]], [[1, 6]], [[-1, 14]], [[-1, 26]], [[1, 10]], [[1, 26]], [[1, 10]], [[1, 22]], [[1, 30]], [[-1, 10]], [[-1, 10]], [[1, 30]], [[-1, 14]], [[-1, 30]], [[1, 18]], [[1, 14]], [[1, 18]], [[-1, 7]], [[1, 25]], [[1, 1]], [[1, 23]], [[-1, 5]], [[-1, 25]], [[1, 15]], [[-1, 9]], [[-1, 23]], [[-1, 11]], [[-1, 3]], [[1, 27]], [[-1, 21]], [[1, 11]], [[1, 27]], [[-1, 27]], [[-1, 7]], [[-1, 29]], [[1, 29]], [[-1, 13]], [[-1, 13]], [[1, 29]], [[-1, 25]], [[1, 13]], [[-1, 15]], [[1, 15]], [[1, 3]], [[-1, 31]], [[-1, 29]], [[-1, 15]], [[-1, 27]], [[1, 31]], [[1, 31]], [[-1, 1]], [[-1, 19]], [[1, 17]], [[1, 25]], [[1, 1]], [[1, 19]], [[-1, 17]], [[-1, 31]], [[-1, 19]], [[1, 17]], [[-1, 3]], [[1, 21]], [[1, 19]], [[1, 9]], [[1, 3]], [[1, 5]], [[1, 5]], [[-1, 11]], [[-1, 21]], [[1, 13]], [[-1, 5]], [[1, 7]], [[1, 21]], [[1, 11]], [[1, 23]], [[-1, 17]], [[1, 7]], [[-1, 1]], [[-1, 23]], [[-1, 9]], [[1, 9]]]}
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gps_subgroup_search • Show schema
Hide schema
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id: 7987743
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '128.159', 'ambient_counter': 159, 'ambient_order': 128, 'ambient_tex': 'C_2\\times C_{64}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 128, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 2, 'label': '128.159.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': ['Z', 'F', 'R', 'U0', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '128.159', 'subgroup_hash': 159, 'subgroup_order': 128, 'subgroup_tex': 'C_2\\times C_{64}', 'supersolvable': True, 'sylow': 2}
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id: 7987754
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '128.159', 'ambient_counter': 159, 'ambient_order': 128, 'ambient_tex': 'C_2\\times C_{64}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 64, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '128.159.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, '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': '64.50', 'subgroup_hash': 50, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_{32}', 'supersolvable': True, 'sylow': 0}
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id: 7987756
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '128.159', 'ambient_counter': 159, 'ambient_order': 128, 'ambient_tex': 'C_2\\times C_{64}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 64, 'counter': 3, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '128.159.2.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': ['C1'], 'split': True, '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: 7987757
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '128.159', 'ambient_counter': 159, 'ambient_order': 128, 'ambient_tex': 'C_2\\times C_{64}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 64, 'counter': 4, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '128.159.2.b1.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.b1.b1', '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': '64.1', 'subgroup_hash': 1, 'subgroup_order': 64, 'subgroup_tex': 'C_{64}', 'supersolvable': True, 'sylow': 0}
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id: 7987758
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '128.159', 'ambient_counter': 159, 'ambient_order': 128, 'ambient_tex': 'C_2\\times C_{64}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 32, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '128.159.4.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': '4.1', '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': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
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id: 7987759
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '128.159', 'ambient_counter': 159, 'ambient_order': 128, 'ambient_tex': 'C_2\\times C_{64}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 32, 'counter': 6, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '128.159.4.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': '32.1', 'subgroup_hash': 1, 'subgroup_order': 32, 'subgroup_tex': 'C_{32}', 'supersolvable': True, 'sylow': 0}
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id: 7987760
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '128.159', 'ambient_counter': 159, 'ambient_order': 128, 'ambient_tex': 'C_2\\times C_{64}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 32, 'counter': 7, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '128.159.4.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': '4.2', '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', 'C2'], '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: 7987761
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '128.159', 'ambient_counter': 159, 'ambient_order': 128, 'ambient_tex': 'C_2\\times C_{64}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 16, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '128.159.8.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': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], '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}
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id: 7987762
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '128.159', 'ambient_counter': 159, 'ambient_order': 128, 'ambient_tex': 'C_2\\times C_{64}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 16, 'counter': 9, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '128.159.8.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': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', '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}
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id: 7987744
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '128.159', 'ambient_counter': 159, 'ambient_order': 128, 'ambient_tex': 'C_2\\times C_{64}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 16, 'counter': 10, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '128.159.8.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': '8.2', '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': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
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id: 7987745
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '128.159', 'ambient_counter': 159, 'ambient_order': 128, 'ambient_tex': 'C_2\\times C_{64}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 8, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '128.159.16.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': '16.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 7987746
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '128.159', 'ambient_counter': 159, 'ambient_order': 128, 'ambient_tex': 'C_2\\times C_{64}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 8, 'counter': 12, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '128.159.16.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': '16.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{16}', '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: 7987747
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '128.159', 'ambient_counter': 159, 'ambient_order': 128, 'ambient_tex': 'C_2\\times C_{64}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 8, 'counter': 13, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '128.159.16.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': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': ['C4'], '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: 7987748
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '128.159', 'ambient_counter': 159, 'ambient_order': 128, 'ambient_tex': 'C_2\\times C_{64}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 4, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '128.159.32.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': '32.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{32}', 'simple': False, 'solvable': True, 'special_labels': ['S'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 7987749
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '128.159', 'ambient_counter': 159, 'ambient_order': 128, 'ambient_tex': 'C_2\\times C_{64}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 4, 'counter': 15, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '128.159.32.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': '32.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{32}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 7987750
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '128.159', 'ambient_counter': 159, 'ambient_order': 128, 'ambient_tex': 'C_2\\times C_{64}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 4, 'counter': 16, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '128.159.32.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': '32.16', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 16, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{16}', 'simple': False, 'solvable': True, 'special_labels': ['C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 7987751
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '128.159', 'ambient_counter': 159, 'ambient_order': 128, 'ambient_tex': 'C_2\\times C_{64}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 17, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '128.159.64.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '64.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{64}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, '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: 7987752
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '128.159', 'ambient_counter': 159, 'ambient_order': 128, 'ambient_tex': 'C_2\\times C_{64}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 18, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '128.159.64.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '64.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{64}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, '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: 7987753
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '128.159', 'ambient_counter': 159, 'ambient_order': 128, 'ambient_tex': 'C_2\\times C_{64}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 2, 'counter': 19, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '128.159.64.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '64.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.50', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 50, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{32}', 'simple': True, 'solvable': True, 'special_labels': ['C6'], 'split': False, '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: 7987755
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '128.159', 'ambient_counter': 159, 'ambient_order': 128, 'ambient_tex': 'C_2\\times C_{64}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 1, 'counter': 20, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '128.159.128.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': True, 'proper': False, 'quotient': '128.159', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 159, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{64}', 'simple': False, 'solvable': True, 'special_labels': ['D', 'PC', 'U1', 'L1', 'D1', 'C7'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
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gps_subgroup_data • Show schema
Hide schema
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id: 7987743
{'ambient': '128.159', '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': '1.a1.a1', 'complements': ['128.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.b1.a1', '2.b1.b1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2017, 2017, 1978, 1978, 2029, 2029, 2003, 2003], 'generators': [1, 2], 'label': '128.159.1.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.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '1.1', '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': '1.1'}
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id: 7987744
{'ambient': '128.159', 'aut_centralizer_order': 16, 'aut_label': '8.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 16, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1'], 'contains': ['16.c1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2922, 2922, 3393, 3393, 2940, 2940, 3437, 3437], 'generators': [8], 'label': '128.159.8.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.c1.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.c1.a1', 'projective_image': '8.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 7987745
{'ambient': '128.159', 'aut_centralizer_order': 32, 'aut_label': '16.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 32, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1'], 'contains': ['32.a1.a1', '32.b1.a1', '32.c1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8354, 8354, 7636, 7636, 8406, 8406, 7736, 7736], 'generators': [1, 32], 'label': '128.159.16.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': '16.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.1', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 7987746
{'ambient': '128.159', 'aut_centralizer_order': 32, 'aut_label': '16.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 32, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1'], 'contains': ['32.c1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6214, 6214, 5965, 5965, 6253, 6253, 6042, 6042], 'generators': [17], 'label': '128.159.16.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': '16.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.1', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 7987747
{'ambient': '128.159', 'aut_centralizer_order': 32, 'aut_label': '16.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 32, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.b1.a1', '8.c1.a1'], 'contains': ['32.c1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4733, 4733, 4807, 4807, 4762, 4762, 4870, 4870], 'generators': [16], 'label': '128.159.16.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.c1.a1', 'normal_contained_in': ['8.a1.a1', '8.c1.a1', '8.b1.a1'], 'normal_contains': ['32.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.c1.a1', 'projective_image': '16.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.5', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 7987748
{'ambient': '128.159', 'aut_centralizer_order': 64, 'aut_label': '32.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 64, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1'], 'contains': ['64.a1.a1', '64.a1.b1', '64.b1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9280, 9280, 8360, 8360, 9338, 9338, 8469, 8469], 'generators': [1, 64], 'label': '128.159.32.a1.a1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '32.a1.a1', 'normal_contained_in': ['16.a1.a1'], 'normal_contains': ['64.a1.b1', '64.a1.a1', '64.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.a1.a1', 'projective_image': '32.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '32.1', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '32.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 7987749
{'ambient': '128.159', 'aut_centralizer_order': 64, 'aut_label': '32.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 64, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1'], 'contains': ['64.b1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7696, 7696, 7122, 7122, 7743, 7743, 7215, 7215], 'generators': [33], 'label': '128.159.32.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.b1.a1', 'normal_contained_in': ['16.a1.a1'], 'normal_contains': ['64.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.b1.a1', 'projective_image': '32.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '32.1', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '32.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 7987750
{'ambient': '128.159', 'aut_centralizer_order': 64, 'aut_label': '32.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 64, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.b1.a1', '16.c1.a1'], 'contains': ['64.b1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6214, 6214, 5965, 5965, 6253, 6253, 6042, 6042], 'generators': [32], 'label': '128.159.32.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.c1.a1', 'normal_contained_in': ['16.a1.a1', '16.c1.a1', '16.b1.a1'], 'normal_contains': ['64.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.c1.a1', 'projective_image': '32.16', 'quotient_action_image': '1.1', 'quotient_action_kernel': '32.16', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '32.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 7987751
{'ambient': '128.159', 'aut_centralizer_order': 64, 'aut_label': '64.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 128, 'centralizer': '1.a1.a1', 'complements': ['2.b1.a1', '2.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1'], 'contains': ['128.a1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9240, 9240, 8280, 8280, 9296, 9296, 8388, 8388], 'generators': [1], 'label': '128.159.64.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '64.a1.a1', 'normal_contained_in': ['32.a1.a1'], 'normal_contains': ['128.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.a1.a1', 'projective_image': '64.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '64.1', 'quotient_action_kernel_order': 64, 'quotient_fusion': None, 'short_label': '64.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 7987752
{'ambient': '128.159', 'aut_centralizer_order': 64, 'aut_label': '64.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 128, 'centralizer': '1.a1.a1', 'complements': ['2.b1.a1', '2.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1'], 'contains': ['128.a1.a1'], 'core': '64.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [9240, 9240, 9437, 9437, 9296, 9296, 9560, 9560], 'generators': [65], 'label': '128.159.64.a1.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '64.a1.b1', 'normal_contained_in': ['32.a1.a1'], 'normal_contains': ['128.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.a1.b1', 'projective_image': '64.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '64.1', 'quotient_action_kernel_order': 64, 'quotient_fusion': None, 'short_label': '64.a1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 7987753
{'ambient': '128.159', 'aut_centralizer_order': 128, 'aut_label': '64.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 128, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.b1.a1', '32.c1.a1'], 'contains': ['128.a1.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7737, 7737, 7122, 7122, 7785, 7785, 7215, 7215], 'generators': [64], 'label': '128.159.64.b1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '64.b1.a1', 'normal_contained_in': ['32.a1.a1', '32.c1.a1', '32.b1.a1'], 'normal_contains': ['128.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.b1.a1', 'projective_image': '64.50', 'quotient_action_image': '1.1', 'quotient_action_kernel': '64.50', 'quotient_action_kernel_order': 64, 'quotient_fusion': None, 'short_label': '64.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 7987754
{'ambient': '128.159', 'aut_centralizer_order': 4, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.36', 'aut_weyl_index': 4, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.b1.a1', '4.c1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3313, 3313, 4004, 4004, 3333, 3333, 4055, 4055], 'generators': [1, 4], 'label': '128.159.2.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': '2.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 7987755
{'ambient': '128.159', 'aut_centralizer_order': None, 'aut_label': '128.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': ['64.a1.a1', '64.a1.b1', '64.b1.a1'], 'contains': [], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8499, 8499, 8280, 8280, 8530, 8530, 8388, 8388], 'generators': [], 'label': '128.159.128.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '128.a1.a1', 'normal_contained_in': ['64.a1.b1', '64.a1.a1', '64.b1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '128.a1.a1', 'projective_image': '128.159', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 7987756
{'ambient': '128.159', 'aut_centralizer_order': 2, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '32.16', 'aut_weyl_index': 4, 'centralizer': '1.a1.a1', 'complements': ['64.a1.a1', '64.a1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.c1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [720, 720, 1978, 1978, 725, 725, 2003, 2003], 'generators': [2], 'label': '128.159.2.b1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': '2.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '2.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 7987757
{'ambient': '128.159', 'aut_centralizer_order': 2, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '32.16', 'aut_weyl_index': 4, 'centralizer': '1.a1.a1', 'complements': ['64.a1.a1', '64.a1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.c1.a1'], 'core': '2.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [720, 720, 563, 563, 725, 725, 570, 570], 'generators': [3], 'label': '128.159.2.b1.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.b1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.b1', 'projective_image': '2.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '2.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 7987758
{'ambient': '128.159', 'aut_centralizer_order': 8, 'aut_label': '4.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.10', 'aut_weyl_index': 8, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '8.b1.a1', '8.c1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5515, 5515, 5418, 5418, 5549, 5549, 5489, 5489], 'generators': [1, 8], 'label': '128.159.4.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.a1.a1', '8.c1.a1', '8.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '4.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 7987759
{'ambient': '128.159', 'aut_centralizer_order': 8, 'aut_label': '4.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.5', 'aut_weyl_index': 8, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.c1.a1'], 'core': '4.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2922, 2922, 3393, 3393, 2940, 2940, 3437, 3437], 'generators': [5], 'label': '128.159.4.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.a1', 'projective_image': '4.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 7987760
{'ambient': '128.159', 'aut_centralizer_order': 8, 'aut_label': '4.c1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '16.5', 'aut_weyl_index': 8, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.b1.a1', '2.b1.b1'], 'contains': ['8.c1.a1'], 'core': '4.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1112, 1112, 1978, 1978, 1118, 1118, 2003, 2003], 'generators': [4], 'label': '128.159.4.c1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.c1.a1', 'normal_contained_in': ['2.a1.a1', '2.b1.a1', '2.b1.b1'], 'normal_contains': ['8.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.c1.a1', 'projective_image': '4.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 7987761
{'ambient': '128.159', 'aut_centralizer_order': 16, 'aut_label': '8.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 16, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.a1.a1', '16.b1.a1', '16.c1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7037, 7037, 6607, 6607, 7081, 7081, 6694, 6694], 'generators': [1, 16], 'label': '128.159.8.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.c1.a1', '16.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '8.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 7987762
{'ambient': '128.159', 'aut_centralizer_order': 16, 'aut_label': '8.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 16, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.c1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4733, 4733, 4807, 4807, 4762, 4762, 4870, 4870], 'generators': [9], 'label': '128.159.8.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.a1', 'projective_image': '8.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}