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gps_groups • Show schema
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{'Agroup': True, 'Zgroup': True, 'abelian': False, 'abelian_quotient': '68.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 336, 'aut_gen_orders': [6, 16, 14], 'aut_gens': [[1, 4], [1, 412], [1, 116], [139, 4]], 'aut_group': '1344.1088', 'aut_hash': 1088, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 1344, 'aut_permdeg': 30, 'aut_perms': [124745075198648971459596000, 6663632642063817473913618697693, 124100973804824527118288319531392], 'aut_phi_ratio': 7.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [4, 7, 2, 1], [7, 2, 3, 1], [14, 2, 3, 1], [17, 1, 16, 1], [34, 1, 16, 1], [68, 7, 32, 1], [119, 2, 48, 1], [238, 2, 48, 1]], 'aut_supersolvable': True, 'aut_tex': 'D_{14}:C_{48}', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 16, 'autcent_group': '32.16', 'autcent_hash': 16, 'autcent_nilpotent': True, 'autcent_order': 32, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2\\times C_{16}', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 42, 'autcentquo_group': '42.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': False, 'autcentquo_order': 42, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'F_7', 'cc_stats': [[1, 1, 1], [2, 1, 1], [4, 7, 2], [7, 2, 3], [14, 2, 3], [17, 1, 16], [34, 1, 16], [68, 7, 32], [119, 2, 48], [238, 2, 48]], 'center_label': '34.2', 'center_order': 34, 'central_product': True, 'central_quotient': '14.1', 'commutator_count': 1, 'commutator_label': '7.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '7.1', '17.1'], 'composition_length': 4, 'conjugacy_classes_known': True, 'counter': 1, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['17.1', 1], ['28.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [4, 7, 2, 1], [7, 2, 3, 1], [14, 2, 3, 1], [17, 1, 16, 1], [34, 1, 16, 1], [68, 7, 32, 1], [119, 2, 48, 1], [238, 2, 48, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 108, 'exponent': 476, 'exponents_of_order': [2, 1, 1], 'factors_of_aut_order': [2, 3, 7], 'factors_of_order': [2, 7, 17], 'faithful_reps': [[2, 0, 48]], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '238.1', 'hash': 1, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 14, 'inner_gen_orders': [2, 7], 'inner_gens': [[1, 276], [205, 4]], 'inner_hash': 1, 'inner_nilpotent': False, 'inner_order': 14, 'inner_split': True, 'inner_tex': 'D_7', 'inner_used': [1, 2], 'irrC_degree': 2, 'irrQ_degree': 96, 'irrQ_dim': 96, 'irrR_degree': 4, 'irrep_stats': [[1, 68], [2, 102]], 'label': '476.1', 'linC_count': 48, 'linC_degree': 2, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 22, 'linQ_degree_count': 2, 'linQ_dim': 24, 'linQ_dim_count': 2, 'linR_count': 72, 'linR_degree': 4, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': True, 'monomial': True, 'name': 'C7:C68', 'ngens': 4, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 10, 'number_characteristic_subgroups': 10, 'number_conjugacy_classes': 170, 'number_divisions': 10, 'number_normal_subgroups': 10, 'number_subgroup_autclasses': 12, 'number_subgroup_classes': 12, 'number_subgroups': 24, 'old_label': None, 'order': 476, 'order_factorization_type': 222, 'order_stats': [[1, 1], [2, 1], [4, 14], [7, 6], [14, 6], [17, 16], [34, 16], [68, 224], [119, 96], [238, 96]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 48, 'outer_gen_orders': [2, 48], 'outer_gen_pows': [0, 0], 'outer_gens': [[3, 4], [3, 320]], 'outer_group': '96.59', 'outer_hash': 59, 'outer_nilpotent': True, 'outer_order': 96, 'outer_permdeg': 21, 'outer_perms': [2439325392333218664, 19984155209275203], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2\\times C_{48}', 'pc_rank': 2, 'perfect': False, 'permutation_degree': 28, 'pgroup': 0, 'primary_abelian_invariants': [4, 17], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 1], [6, 2], [16, 2], [32, 1], [96, 2]], 'representations': {'PC': {'code': 714667090837599, 'gens': [1, 3], 'pres': [4, -2, -2, -7, -17, 8, 3314, 94]}, 'GLFp': {'d': 2, 'p': 239, 'gens': [2566560960, 518773117, 102053]}, 'Perm': {'d': 28, 'gens': [403913036090016134922240000, 22324392524313, 5109094217170944000, 11696694393475757688422400000]}}, 'schur_multiplier': [], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [68], 'solvability_type': 6, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_7:C_{68}', 'transitive_degree': 476, 'wreath_data': None, 'wreath_product': False}
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gps_conj_classes • Show schema
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id: 110376034
{'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 1, 'group_order': 476, 'label': '1A', 'order': 1, 'powers': [1, 1, 1, 1], 'representative': 0, 'size': 1}
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id: 110376116
{'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 1, 'group_order': 476, 'label': '2A', 'order': 2, 'powers': [1, 2, 2, 2], 'representative': 2, 'size': 1}
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id: 110376127
{'aut_label': '4A1', 'centralizer': '7.a1.a1', 'counter': 3, 'group_counter': 1, 'group_order': 476, 'label': '4A1', 'order': 4, 'powers': [2, 4, 4, 3], 'representative': 1, 'size': 7}
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id: 110376138
{'aut_label': '4A1', 'centralizer': '7.a1.a1', 'counter': 4, 'group_counter': 1, 'group_order': 476, 'label': '4A-1', 'order': 4, 'powers': [2, 3, 3, 4], 'representative': 3, 'size': 7}
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id: 110376149
{'aut_label': '7A1', 'centralizer': '2.a1.a1', 'counter': 5, 'group_counter': 1, 'group_order': 476, 'label': '7A1', 'order': 7, 'powers': [6, 7, 1, 7], 'representative': 136, 'size': 2}
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id: 110376160
{'aut_label': '7A1', 'centralizer': '2.a1.a1', 'counter': 6, 'group_counter': 1, 'group_order': 476, 'label': '7A2', 'order': 7, 'powers': [7, 5, 1, 5], 'representative': 272, 'size': 2}
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id: 110376171
{'aut_label': '7A1', 'centralizer': '2.a1.a1', 'counter': 7, 'group_counter': 1, 'group_order': 476, 'label': '7A3', 'order': 7, 'powers': [5, 6, 1, 6], 'representative': 408, 'size': 2}
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id: 110376182
{'aut_label': '14A1', 'centralizer': '2.a1.a1', 'counter': 8, 'group_counter': 1, 'group_order': 476, 'label': '14A1', 'order': 14, 'powers': [5, 9, 2, 9], 'representative': 70, 'size': 2}
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id: 110376193
{'aut_label': '14A1', 'centralizer': '2.a1.a1', 'counter': 9, 'group_counter': 1, 'group_order': 476, 'label': '14A3', 'order': 14, 'powers': [7, 10, 2, 10], 'representative': 206, 'size': 2}
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id: 110376035
{'aut_label': '14A1', 'centralizer': '2.a1.a1', 'counter': 10, 'group_counter': 1, 'group_order': 476, 'label': '14A5', 'order': 14, 'powers': [6, 8, 2, 8], 'representative': 342, 'size': 2}
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id: 110376046
{'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 11, 'group_counter': 1, 'group_order': 476, 'label': '17A1', 'order': 17, 'powers': [13, 15, 23, 1], 'representative': 112, 'size': 1}
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id: 110376057
{'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 12, 'group_counter': 1, 'group_order': 476, 'label': '17A-1', 'order': 17, 'powers': [14, 16, 24, 1], 'representative': 364, 'size': 1}
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id: 110376068
{'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 13, 'group_counter': 1, 'group_order': 476, 'label': '17A2', 'order': 17, 'powers': [17, 21, 16, 1], 'representative': 224, 'size': 1}
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id: 110376079
{'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 14, 'group_counter': 1, 'group_order': 476, 'label': '17A-2', 'order': 17, 'powers': [18, 22, 15, 1], 'representative': 252, 'size': 1}
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id: 110376090
{'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 15, 'group_counter': 1, 'group_order': 476, 'label': '17A3', 'order': 17, 'powers': [21, 26, 17, 1], 'representative': 336, 'size': 1}
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id: 110376101
{'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 16, 'group_counter': 1, 'group_order': 476, 'label': '17A-3', 'order': 17, 'powers': [22, 25, 18, 1], 'representative': 140, 'size': 1}
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id: 110376112
{'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 17, 'group_counter': 1, 'group_order': 476, 'label': '17A4', 'order': 17, 'powers': [25, 20, 22, 1], 'representative': 448, 'size': 1}
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id: 110376114
{'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 18, 'group_counter': 1, 'group_order': 476, 'label': '17A-4', 'order': 17, 'powers': [26, 19, 21, 1], 'representative': 28, 'size': 1}
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id: 110376115
{'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 19, 'group_counter': 1, 'group_order': 476, 'label': '17A5', 'order': 17, 'powers': [24, 14, 11, 1], 'representative': 84, 'size': 1}
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id: 110376117
{'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 20, 'group_counter': 1, 'group_order': 476, 'label': '17A-5', 'order': 17, 'powers': [23, 13, 12, 1], 'representative': 392, 'size': 1}
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id: 110376118
{'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 21, 'group_counter': 1, 'group_order': 476, 'label': '17A6', 'order': 17, 'powers': [20, 11, 25, 1], 'representative': 196, 'size': 1}
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id: 110376119
{'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 22, 'group_counter': 1, 'group_order': 476, 'label': '17A-6', 'order': 17, 'powers': [19, 12, 26, 1], 'representative': 280, 'size': 1}
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id: 110376120
{'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 23, 'group_counter': 1, 'group_order': 476, 'label': '17A7', 'order': 17, 'powers': [16, 17, 14, 1], 'representative': 308, 'size': 1}
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id: 110376121
{'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 24, 'group_counter': 1, 'group_order': 476, 'label': '17A-7', 'order': 17, 'powers': [15, 18, 13, 1], 'representative': 168, 'size': 1}
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id: 110376122
{'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 25, 'group_counter': 1, 'group_order': 476, 'label': '17A8', 'order': 17, 'powers': [12, 23, 19, 1], 'representative': 420, 'size': 1}
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id: 110376123
{'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 26, 'group_counter': 1, 'group_order': 476, 'label': '17A-8', 'order': 17, 'powers': [11, 24, 20, 1], 'representative': 56, 'size': 1}
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id: 110376124
{'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 27, 'group_counter': 1, 'group_order': 476, 'label': '34A1', 'order': 34, 'powers': [11, 29, 33, 2], 'representative': 58, 'size': 1}
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id: 110376125
{'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 28, 'group_counter': 1, 'group_order': 476, 'label': '34A-1', 'order': 34, 'powers': [12, 30, 34, 2], 'representative': 422, 'size': 1}
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id: 110376126
{'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 29, 'group_counter': 1, 'group_order': 476, 'label': '34A3', 'order': 34, 'powers': [15, 35, 40, 2], 'representative': 170, 'size': 1}
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id: 110376128
{'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 30, 'group_counter': 1, 'group_order': 476, 'label': '34A-3', 'order': 34, 'powers': [16, 36, 39, 2], 'representative': 310, 'size': 1}
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id: 110376129
{'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 31, 'group_counter': 1, 'group_order': 476, 'label': '34A5', 'order': 34, 'powers': [19, 41, 27, 2], 'representative': 282, 'size': 1}
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id: 110376130
{'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 32, 'group_counter': 1, 'group_order': 476, 'label': '34A-5', 'order': 34, 'powers': [20, 42, 28, 2], 'representative': 198, 'size': 1}
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id: 110376131
{'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 33, 'group_counter': 1, 'group_order': 476, 'label': '34A7', 'order': 34, 'powers': [23, 40, 41, 2], 'representative': 394, 'size': 1}
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id: 110376132
{'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 34, 'group_counter': 1, 'group_order': 476, 'label': '34A-7', 'order': 34, 'powers': [24, 39, 42, 2], 'representative': 86, 'size': 1}
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id: 110376133
{'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 35, 'group_counter': 1, 'group_order': 476, 'label': '34A9', 'order': 34, 'powers': [26, 34, 32, 2], 'representative': 30, 'size': 1}
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id: 110376134
{'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 36, 'group_counter': 1, 'group_order': 476, 'label': '34A-9', 'order': 34, 'powers': [25, 33, 31, 2], 'representative': 450, 'size': 1}
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id: 110376135
{'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 37, 'group_counter': 1, 'group_order': 476, 'label': '34A11', 'order': 34, 'powers': [22, 28, 35, 2], 'representative': 142, 'size': 1}
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id: 110376136
{'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 38, 'group_counter': 1, 'group_order': 476, 'label': '34A-11', 'order': 34, 'powers': [21, 27, 36, 2], 'representative': 338, 'size': 1}
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id: 110376137
{'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 39, 'group_counter': 1, 'group_order': 476, 'label': '34A13', 'order': 34, 'powers': [18, 31, 38, 2], 'representative': 254, 'size': 1}
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id: 110376139
{'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 40, 'group_counter': 1, 'group_order': 476, 'label': '34A-13', 'order': 34, 'powers': [17, 32, 37, 2], 'representative': 226, 'size': 1}
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id: 110376140
{'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 41, 'group_counter': 1, 'group_order': 476, 'label': '34A15', 'order': 34, 'powers': [14, 37, 29, 2], 'representative': 366, 'size': 1}
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id: 110376141
{'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 42, 'group_counter': 1, 'group_order': 476, 'label': '34A-15', 'order': 34, 'powers': [13, 38, 30, 2], 'representative': 114, 'size': 1}
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id: 110376142
{'aut_label': '68A1', 'centralizer': '7.a1.a1', 'counter': 43, 'group_counter': 1, 'group_order': 476, 'label': '68A1', 'order': 68, 'powers': [27, 45, 49, 3], 'representative': 29, 'size': 7}
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id: 110376143
{'aut_label': '68A1', 'centralizer': '7.a1.a1', 'counter': 44, 'group_counter': 1, 'group_order': 476, 'label': '68A-1', 'order': 68, 'powers': [28, 46, 50, 4], 'representative': 451, 'size': 7}
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id: 110376144
{'aut_label': '68A1', 'centralizer': '7.a1.a1', 'counter': 45, 'group_counter': 1, 'group_order': 476, 'label': '68A3', 'order': 68, 'powers': [29, 51, 61, 4], 'representative': 87, 'size': 7}
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id: 110376145
{'aut_label': '68A1', 'centralizer': '7.a1.a1', 'counter': 46, 'group_counter': 1, 'group_order': 476, 'label': '68A-3', 'order': 68, 'powers': [30, 52, 62, 3], 'representative': 393, 'size': 7}
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id: 110376146
{'aut_label': '68A1', 'centralizer': '7.a1.a1', 'counter': 47, 'group_counter': 1, 'group_order': 476, 'label': '68A5', 'order': 68, 'powers': [31, 57, 74, 3], 'representative': 5, 'size': 7}
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id: 110376147
{'aut_label': '68A1', 'centralizer': '7.a1.a1', 'counter': 48, 'group_counter': 1, 'group_order': 476, 'label': '68A-5', 'order': 68, 'powers': [32, 58, 73, 4], 'representative': 339, 'size': 7}
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id: 110376148
{'aut_label': '68A1', 'centralizer': '7.a1.a1', 'counter': 49, 'group_counter': 1, 'group_order': 476, 'label': '68A7', 'order': 68, 'powers': [33, 61, 60, 4], 'representative': 199, 'size': 7}
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id: 110376150
{'aut_label': '68A1', 'centralizer': '7.a1.a1', 'counter': 50, 'group_counter': 1, 'group_order': 476, 'label': '68A-7', 'order': 68, 'powers': [34, 62, 59, 3], 'representative': 9, 'size': 7}
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id: 110376151
{'aut_label': '68A1', 'centralizer': '7.a1.a1', 'counter': 51, 'group_counter': 1, 'group_order': 476, 'label': '68A9', 'order': 68, 'powers': [35, 67, 48, 3], 'representative': 253, 'size': 7}
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id: 110376152
{'aut_label': '68A1', 'centralizer': '7.a1.a1', 'counter': 52, 'group_counter': 1, 'group_order': 476, 'label': '68A-9', 'order': 68, 'powers': [36, 68, 47, 4], 'representative': 23, 'size': 7}
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id: 110376153
{'aut_label': '68A1', 'centralizer': '7.a1.a1', 'counter': 53, 'group_counter': 1, 'group_order': 476, 'label': '68A11', 'order': 68, 'powers': [37, 73, 51, 4], 'representative': 311, 'size': 7}
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id: 110376154
{'aut_label': '68A1', 'centralizer': '7.a1.a1', 'counter': 54, 'group_counter': 1, 'group_order': 476, 'label': '68A-11', 'order': 68, 'powers': [38, 74, 52, 3], 'representative': 169, 'size': 7}
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id: 110376155
{'aut_label': '68A1', 'centralizer': '7.a1.a1', 'counter': 55, 'group_counter': 1, 'group_order': 476, 'label': '68A13', 'order': 68, 'powers': [39, 70, 63, 3], 'representative': 25, 'size': 7}
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id: 110376156
{'aut_label': '68A1', 'centralizer': '7.a1.a1', 'counter': 56, 'group_counter': 1, 'group_order': 476, 'label': '68A-13', 'order': 68, 'powers': [40, 69, 64, 4], 'representative': 115, 'size': 7}
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id: 110376157
{'aut_label': '68A1', 'centralizer': '7.a1.a1', 'counter': 57, 'group_counter': 1, 'group_order': 476, 'label': '68A15', 'order': 68, 'powers': [41, 64, 72, 4], 'representative': 15, 'size': 7}
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id: 110376158
{'aut_label': '68A1', 'centralizer': '7.a1.a1', 'counter': 58, 'group_counter': 1, 'group_order': 476, 'label': '68A-15', 'order': 68, 'powers': [42, 63, 71, 3], 'representative': 57, 'size': 7}
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id: 110376159
{'aut_label': '68A1', 'centralizer': '7.a1.a1', 'counter': 59, 'group_counter': 1, 'group_order': 476, 'label': '68A19', 'order': 68, 'powers': [42, 54, 46, 4], 'representative': 59, 'size': 7}
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id: 110376161
{'aut_label': '68A1', 'centralizer': '7.a1.a1', 'counter': 60, 'group_counter': 1, 'group_order': 476, 'label': '68A-19', 'order': 68, 'powers': [41, 53, 45, 3], 'representative': 13, 'size': 7}
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id: 110376162
{'aut_label': '68A1', 'centralizer': '7.a1.a1', 'counter': 61, 'group_counter': 1, 'group_order': 476, 'label': '68A21', 'order': 68, 'powers': [40, 48, 53, 3], 'representative': 113, 'size': 7}
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id: 110376163
{'aut_label': '68A1', 'centralizer': '7.a1.a1', 'counter': 62, 'group_counter': 1, 'group_order': 476, 'label': '68A-21', 'order': 68, 'powers': [39, 47, 54, 4], 'representative': 27, 'size': 7}
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id: 110376164
{'aut_label': '68A1', 'centralizer': '7.a1.a1', 'counter': 63, 'group_counter': 1, 'group_order': 476, 'label': '68A23', 'order': 68, 'powers': [38, 43, 65, 4], 'representative': 171, 'size': 7}
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id: 110376165
{'aut_label': '68A1', 'centralizer': '7.a1.a1', 'counter': 64, 'group_counter': 1, 'group_order': 476, 'label': '68A-23', 'order': 68, 'powers': [37, 44, 66, 3], 'representative': 309, 'size': 7}
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id: 110376166
{'aut_label': '68A1', 'centralizer': '7.a1.a1', 'counter': 65, 'group_counter': 1, 'group_order': 476, 'label': '68A25', 'order': 68, 'powers': [36, 49, 70, 3], 'representative': 21, 'size': 7}
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id: 110376167
{'aut_label': '68A1', 'centralizer': '7.a1.a1', 'counter': 66, 'group_counter': 1, 'group_order': 476, 'label': '68A-25', 'order': 68, 'powers': [35, 50, 69, 4], 'representative': 255, 'size': 7}
-
id: 110376168
{'aut_label': '68A1', 'centralizer': '7.a1.a1', 'counter': 67, 'group_counter': 1, 'group_order': 476, 'label': '68A27', 'order': 68, 'powers': [34, 55, 58, 4], 'representative': 11, 'size': 7}
-
id: 110376169
{'aut_label': '68A1', 'centralizer': '7.a1.a1', 'counter': 68, 'group_counter': 1, 'group_order': 476, 'label': '68A-27', 'order': 68, 'powers': [33, 56, 57, 3], 'representative': 197, 'size': 7}
-
id: 110376170
{'aut_label': '68A1', 'centralizer': '7.a1.a1', 'counter': 69, 'group_counter': 1, 'group_order': 476, 'label': '68A29', 'order': 68, 'powers': [32, 59, 44, 3], 'representative': 337, 'size': 7}
-
id: 110376172
{'aut_label': '68A1', 'centralizer': '7.a1.a1', 'counter': 70, 'group_counter': 1, 'group_order': 476, 'label': '68A-29', 'order': 68, 'powers': [31, 60, 43, 4], 'representative': 7, 'size': 7}
-
id: 110376173
{'aut_label': '68A1', 'centralizer': '7.a1.a1', 'counter': 71, 'group_counter': 1, 'group_order': 476, 'label': '68A31', 'order': 68, 'powers': [30, 65, 55, 4], 'representative': 395, 'size': 7}
-
id: 110376174
{'aut_label': '68A1', 'centralizer': '7.a1.a1', 'counter': 72, 'group_counter': 1, 'group_order': 476, 'label': '68A-31', 'order': 68, 'powers': [29, 66, 56, 3], 'representative': 85, 'size': 7}
-
id: 110376175
{'aut_label': '68A1', 'centralizer': '7.a1.a1', 'counter': 73, 'group_counter': 1, 'group_order': 476, 'label': '68A33', 'order': 68, 'powers': [28, 71, 67, 3], 'representative': 449, 'size': 7}
-
id: 110376176
{'aut_label': '68A1', 'centralizer': '7.a1.a1', 'counter': 74, 'group_counter': 1, 'group_order': 476, 'label': '68A-33', 'order': 68, 'powers': [27, 72, 68, 4], 'representative': 31, 'size': 7}
-
id: 110376177
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 75, 'group_counter': 1, 'group_order': 476, 'label': '119A1', 'order': 119, 'powers': [77, 79, 26, 5], 'representative': 8, 'size': 2}
-
id: 110376178
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 76, 'group_counter': 1, 'group_order': 476, 'label': '119A-1', 'order': 119, 'powers': [78, 80, 25, 5], 'representative': 468, 'size': 2}
-
id: 110376179
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 77, 'group_counter': 1, 'group_order': 476, 'label': '119A2', 'order': 119, 'powers': [81, 85, 11, 6], 'representative': 16, 'size': 2}
-
id: 110376180
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 78, 'group_counter': 1, 'group_order': 476, 'label': '119A-2', 'order': 119, 'powers': [82, 86, 12, 6], 'representative': 460, 'size': 2}
-
id: 110376181
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 79, 'group_counter': 1, 'group_order': 476, 'label': '119A3', 'order': 119, 'powers': [85, 89, 24, 7], 'representative': 24, 'size': 2}
-
id: 110376183
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 80, 'group_counter': 1, 'group_order': 476, 'label': '119A-3', 'order': 119, 'powers': [86, 90, 23, 7], 'representative': 452, 'size': 2}
-
id: 110376184
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 81, 'group_counter': 1, 'group_order': 476, 'label': '119A4', 'order': 119, 'powers': [87, 84, 13, 7], 'representative': 32, 'size': 2}
-
id: 110376185
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 82, 'group_counter': 1, 'group_order': 476, 'label': '119A-4', 'order': 119, 'powers': [88, 83, 14, 7], 'representative': 444, 'size': 2}
-
id: 110376186
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 83, 'group_counter': 1, 'group_order': 476, 'label': '119A5', 'order': 119, 'powers': [91, 97, 22, 6], 'representative': 40, 'size': 2}
-
id: 110376187
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 84, 'group_counter': 1, 'group_order': 476, 'label': '119A-5', 'order': 119, 'powers': [92, 98, 21, 6], 'representative': 436, 'size': 2}
-
id: 110376188
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 85, 'group_counter': 1, 'group_order': 476, 'label': '119A6', 'order': 119, 'powers': [84, 101, 15, 5], 'representative': 48, 'size': 2}
-
id: 110376189
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 86, 'group_counter': 1, 'group_order': 476, 'label': '119A-6', 'order': 119, 'powers': [83, 102, 16, 5], 'representative': 428, 'size': 2}
-
id: 110376190
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 87, 'group_counter': 1, 'group_order': 476, 'label': '119A8', 'order': 119, 'powers': [99, 92, 17, 5], 'representative': 64, 'size': 2}
-
id: 110376191
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 88, 'group_counter': 1, 'group_order': 476, 'label': '119A-8', 'order': 119, 'powers': [100, 91, 18, 5], 'representative': 412, 'size': 2}
-
id: 110376192
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 89, 'group_counter': 1, 'group_order': 476, 'label': '119A9', 'order': 119, 'powers': [101, 111, 18, 6], 'representative': 72, 'size': 2}
-
id: 110376194
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 90, 'group_counter': 1, 'group_order': 476, 'label': '119A-9', 'order': 119, 'powers': [102, 112, 17, 6], 'representative': 404, 'size': 2}
-
id: 110376195
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 91, 'group_counter': 1, 'group_order': 476, 'label': '119A10', 'order': 119, 'powers': [103, 113, 19, 7], 'representative': 80, 'size': 2}
-
id: 110376196
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 92, 'group_counter': 1, 'group_order': 476, 'label': '119A-10', 'order': 119, 'powers': [104, 114, 20, 7], 'representative': 396, 'size': 2}
-
id: 110376197
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 93, 'group_counter': 1, 'group_order': 476, 'label': '119A11', 'order': 119, 'powers': [105, 99, 16, 7], 'representative': 88, 'size': 2}
-
id: 110376198
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 94, 'group_counter': 1, 'group_order': 476, 'label': '119A-11', 'order': 119, 'powers': [106, 100, 15, 7], 'representative': 388, 'size': 2}
-
id: 110376199
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 95, 'group_counter': 1, 'group_order': 476, 'label': '119A13', 'order': 119, 'powers': [89, 119, 14, 5], 'representative': 104, 'size': 2}
-
id: 110376200
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 96, 'group_counter': 1, 'group_order': 476, 'label': '119A-13', 'order': 119, 'powers': [90, 120, 13, 5], 'representative': 372, 'size': 2}
-
id: 110376201
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 97, 'group_counter': 1, 'group_order': 476, 'label': '119A15', 'order': 119, 'powers': [113, 93, 12, 5], 'representative': 120, 'size': 2}
-
id: 110376202
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 98, 'group_counter': 1, 'group_order': 476, 'label': '119A-15', 'order': 119, 'powers': [114, 94, 11, 5], 'representative': 356, 'size': 2}
-
id: 110376203
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 99, 'group_counter': 1, 'group_order': 476, 'label': '119A16', 'order': 119, 'powers': [115, 104, 25, 6], 'representative': 128, 'size': 2}
-
id: 110376036
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 100, 'group_counter': 1, 'group_order': 476, 'label': '119A-16', 'order': 119, 'powers': [116, 103, 26, 6], 'representative': 348, 'size': 2}
-
id: 110376037
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 101, 'group_counter': 1, 'group_order': 476, 'label': '119A18', 'order': 119, 'powers': [98, 117, 26, 7], 'representative': 144, 'size': 2}
-
id: 110376038
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 102, 'group_counter': 1, 'group_order': 476, 'label': '119A-18', 'order': 119, 'powers': [97, 118, 25, 7], 'representative': 332, 'size': 2}
-
id: 110376039
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 103, 'group_counter': 1, 'group_order': 476, 'label': '119A20', 'order': 119, 'powers': [107, 110, 24, 5], 'representative': 160, 'size': 2}
-
id: 110376040
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 104, 'group_counter': 1, 'group_order': 476, 'label': '119A-20', 'order': 119, 'powers': [108, 109, 23, 5], 'representative': 316, 'size': 2}
-
id: 110376041
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 105, 'group_counter': 1, 'group_order': 476, 'label': '119A22', 'order': 119, 'powers': [121, 115, 22, 5], 'representative': 176, 'size': 2}
-
id: 110376042
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 106, 'group_counter': 1, 'group_order': 476, 'label': '119A-22', 'order': 119, 'powers': [122, 116, 21, 5], 'representative': 300, 'size': 2}
-
id: 110376043
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 107, 'group_counter': 1, 'group_order': 476, 'label': '119A23', 'order': 119, 'powers': [120, 75, 15, 6], 'representative': 184, 'size': 2}
-
id: 110376044
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 108, 'group_counter': 1, 'group_order': 476, 'label': '119A-23', 'order': 119, 'powers': [119, 76, 16, 6], 'representative': 292, 'size': 2}
-
id: 110376045
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 109, 'group_counter': 1, 'group_order': 476, 'label': '119A25', 'order': 119, 'powers': [76, 122, 17, 7], 'representative': 200, 'size': 2}
-
id: 110376047
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 110, 'group_counter': 1, 'group_order': 476, 'label': '119A-25', 'order': 119, 'powers': [75, 121, 18, 7], 'representative': 276, 'size': 2}
-
id: 110376048
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 111, 'group_counter': 1, 'group_order': 476, 'label': '119A27', 'order': 119, 'powers': [117, 82, 19, 5], 'representative': 216, 'size': 2}
-
id: 110376049
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 112, 'group_counter': 1, 'group_order': 476, 'label': '119A-27', 'order': 119, 'powers': [118, 81, 20, 5], 'representative': 260, 'size': 2}
-
id: 110376050
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 113, 'group_counter': 1, 'group_order': 476, 'label': '119A30', 'order': 119, 'powers': [110, 105, 14, 6], 'representative': 240, 'size': 2}
-
id: 110376051
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 114, 'group_counter': 1, 'group_order': 476, 'label': '119A-30', 'order': 119, 'powers': [109, 106, 13, 6], 'representative': 236, 'size': 2}
-
id: 110376052
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 115, 'group_counter': 1, 'group_order': 476, 'label': '119A32', 'order': 119, 'powers': [95, 108, 12, 7], 'representative': 256, 'size': 2}
-
id: 110376053
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 116, 'group_counter': 1, 'group_order': 476, 'label': '119A-32', 'order': 119, 'powers': [96, 107, 11, 7], 'representative': 220, 'size': 2}
-
id: 110376054
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 117, 'group_counter': 1, 'group_order': 476, 'label': '119A37', 'order': 119, 'powers': [94, 88, 24, 6], 'representative': 296, 'size': 2}
-
id: 110376055
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 118, 'group_counter': 1, 'group_order': 476, 'label': '119A-37', 'order': 119, 'powers': [93, 87, 23, 6], 'representative': 180, 'size': 2}
-
id: 110376056
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 119, 'group_counter': 1, 'group_order': 476, 'label': '119A39', 'order': 119, 'powers': [111, 78, 22, 7], 'representative': 312, 'size': 2}
-
id: 110376058
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 120, 'group_counter': 1, 'group_order': 476, 'label': '119A-39', 'order': 119, 'powers': [112, 77, 21, 7], 'representative': 164, 'size': 2}
-
id: 110376059
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 121, 'group_counter': 1, 'group_order': 476, 'label': '119A44', 'order': 119, 'powers': [79, 95, 19, 6], 'representative': 352, 'size': 2}
-
id: 110376060
{'aut_label': '119A1', 'centralizer': '2.a1.a1', 'counter': 122, 'group_counter': 1, 'group_order': 476, 'label': '119A-44', 'order': 119, 'powers': [80, 96, 20, 6], 'representative': 124, 'size': 2}
-
id: 110376061
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 123, 'group_counter': 1, 'group_order': 476, 'label': '238A1', 'order': 238, 'powers': [75, 125, 35, 8], 'representative': 6, 'size': 2}
-
id: 110376062
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 124, 'group_counter': 1, 'group_order': 476, 'label': '238A-1', 'order': 238, 'powers': [76, 126, 36, 8], 'representative': 202, 'size': 2}
-
id: 110376063
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 125, 'group_counter': 1, 'group_order': 476, 'label': '238A3', 'order': 238, 'powers': [79, 129, 34, 9], 'representative': 14, 'size': 2}
-
id: 110376064
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 126, 'group_counter': 1, 'group_order': 476, 'label': '238A-3', 'order': 238, 'powers': [80, 130, 33, 9], 'representative': 126, 'size': 2}
-
id: 110376065
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 127, 'group_counter': 1, 'group_order': 476, 'label': '238A5', 'order': 238, 'powers': [83, 135, 37, 10], 'representative': 22, 'size': 2}
-
id: 110376066
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 128, 'group_counter': 1, 'group_order': 476, 'label': '238A-5', 'order': 238, 'powers': [84, 136, 38, 10], 'representative': 50, 'size': 2}
-
id: 110376067
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 129, 'group_counter': 1, 'group_order': 476, 'label': '238A9', 'order': 238, 'powers': [89, 143, 39, 10], 'representative': 38, 'size': 2}
-
id: 110376069
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 130, 'group_counter': 1, 'group_order': 476, 'label': '238A-9', 'order': 238, 'powers': [90, 144, 40, 10], 'representative': 374, 'size': 2}
-
id: 110376070
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 131, 'group_counter': 1, 'group_order': 476, 'label': '238A11', 'order': 238, 'powers': [93, 147, 30, 9], 'representative': 46, 'size': 2}
-
id: 110376071
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 132, 'group_counter': 1, 'group_order': 476, 'label': '238A-11', 'order': 238, 'powers': [94, 148, 29, 9], 'representative': 298, 'size': 2}
-
id: 110376072
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 133, 'group_counter': 1, 'group_order': 476, 'label': '238A13', 'order': 238, 'powers': [95, 151, 41, 8], 'representative': 54, 'size': 2}
-
id: 110376073
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 134, 'group_counter': 1, 'group_order': 476, 'label': '238A-13', 'order': 238, 'powers': [96, 152, 42, 8], 'representative': 222, 'size': 2}
-
id: 110376074
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 135, 'group_counter': 1, 'group_order': 476, 'label': '238A15', 'order': 238, 'powers': [97, 131, 28, 8], 'representative': 62, 'size': 2}
-
id: 110376075
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 136, 'group_counter': 1, 'group_order': 476, 'label': '238A-15', 'order': 238, 'powers': [98, 132, 27, 8], 'representative': 146, 'size': 2}
-
id: 110376076
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 137, 'group_counter': 1, 'group_order': 476, 'label': '238A19', 'order': 238, 'powers': [77, 159, 27, 10], 'representative': 10, 'size': 2}
-
id: 110376077
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 138, 'group_counter': 1, 'group_order': 476, 'label': '238A-19', 'order': 238, 'powers': [78, 160, 28, 10], 'representative': 402, 'size': 2}
-
id: 110376078
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 139, 'group_counter': 1, 'group_order': 476, 'label': '238A23', 'order': 238, 'powers': [107, 123, 29, 10], 'representative': 94, 'size': 2}
-
id: 110376080
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 140, 'group_counter': 1, 'group_order': 476, 'label': '238A-23', 'order': 238, 'powers': [108, 124, 30, 10], 'representative': 318, 'size': 2}
-
id: 110376081
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 141, 'group_counter': 1, 'group_order': 476, 'label': '238A25', 'order': 238, 'powers': [109, 162, 40, 9], 'representative': 102, 'size': 2}
-
id: 110376082
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 142, 'group_counter': 1, 'group_order': 476, 'label': '238A-25', 'order': 238, 'powers': [110, 161, 39, 9], 'representative': 242, 'size': 2}
-
id: 110376083
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 143, 'group_counter': 1, 'group_order': 476, 'label': '238A27', 'order': 238, 'powers': [111, 167, 31, 8], 'representative': 110, 'size': 2}
-
id: 110376084
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 144, 'group_counter': 1, 'group_order': 476, 'label': '238A-27', 'order': 238, 'powers': [112, 168, 32, 8], 'representative': 166, 'size': 2}
-
id: 110376085
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 145, 'group_counter': 1, 'group_order': 476, 'label': '238A29', 'order': 238, 'powers': [106, 157, 38, 8], 'representative': 118, 'size': 2}
-
id: 110376086
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 146, 'group_counter': 1, 'group_order': 476, 'label': '238A-29', 'order': 238, 'powers': [105, 158, 37, 8], 'representative': 90, 'size': 2}
-
id: 110376087
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 147, 'group_counter': 1, 'group_order': 476, 'label': '238A33', 'order': 238, 'powers': [99, 166, 36, 10], 'representative': 66, 'size': 2}
-
id: 110376088
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 148, 'group_counter': 1, 'group_order': 476, 'label': '238A-33', 'order': 238, 'powers': [100, 165, 35, 10], 'representative': 346, 'size': 2}
-
id: 110376089
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 149, 'group_counter': 1, 'group_order': 476, 'label': '238A37', 'order': 238, 'powers': [117, 153, 34, 10], 'representative': 150, 'size': 2}
-
id: 110376091
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 150, 'group_counter': 1, 'group_order': 476, 'label': '238A-37', 'order': 238, 'powers': [118, 154, 33, 10], 'representative': 262, 'size': 2}
-
id: 110376092
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 151, 'group_counter': 1, 'group_order': 476, 'label': '238A39', 'order': 238, 'powers': [119, 138, 37, 9], 'representative': 158, 'size': 2}
-
id: 110376093
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 152, 'group_counter': 1, 'group_order': 476, 'label': '238A-39', 'order': 238, 'powers': [120, 137, 38, 9], 'representative': 186, 'size': 2}
-
id: 110376094
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 153, 'group_counter': 1, 'group_order': 476, 'label': '238A43', 'order': 238, 'powers': [88, 169, 39, 8], 'representative': 174, 'size': 2}
-
id: 110376095
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 154, 'group_counter': 1, 'group_order': 476, 'label': '238A-43', 'order': 238, 'powers': [87, 170, 40, 8], 'representative': 34, 'size': 2}
-
id: 110376096
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 155, 'group_counter': 1, 'group_order': 476, 'label': '238A47', 'order': 238, 'powers': [113, 146, 41, 10], 'representative': 122, 'size': 2}
-
id: 110376097
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 156, 'group_counter': 1, 'group_order': 476, 'label': '238A-47', 'order': 238, 'powers': [114, 145, 42, 10], 'representative': 290, 'size': 2}
-
id: 110376098
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 157, 'group_counter': 1, 'group_order': 476, 'label': '238A53', 'order': 238, 'powers': [116, 139, 27, 9], 'representative': 214, 'size': 2}
-
id: 110376099
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 158, 'group_counter': 1, 'group_order': 476, 'label': '238A-53', 'order': 238, 'powers': [115, 140, 28, 9], 'representative': 130, 'size': 2}
-
id: 110376100
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 159, 'group_counter': 1, 'group_order': 476, 'label': '238A57', 'order': 238, 'powers': [85, 164, 29, 8], 'representative': 26, 'size': 2}
-
id: 110376102
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 160, 'group_counter': 1, 'group_order': 476, 'label': '238A-57', 'order': 238, 'powers': [86, 163, 30, 8], 'representative': 250, 'size': 2}
-
id: 110376103
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 161, 'group_counter': 1, 'group_order': 476, 'label': '238A61', 'order': 238, 'powers': [121, 133, 31, 10], 'representative': 178, 'size': 2}
-
id: 110376104
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 162, 'group_counter': 1, 'group_order': 476, 'label': '238A-61', 'order': 238, 'powers': [122, 134, 32, 10], 'representative': 234, 'size': 2}
-
id: 110376105
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 163, 'group_counter': 1, 'group_order': 476, 'label': '238A67', 'order': 238, 'powers': [102, 150, 36, 9], 'representative': 270, 'size': 2}
-
id: 110376106
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 164, 'group_counter': 1, 'group_order': 476, 'label': '238A-67', 'order': 238, 'powers': [101, 149, 35, 9], 'representative': 74, 'size': 2}
-
id: 110376107
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 165, 'group_counter': 1, 'group_order': 476, 'label': '238A71', 'order': 238, 'powers': [103, 142, 34, 8], 'representative': 82, 'size': 2}
-
id: 110376108
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 166, 'group_counter': 1, 'group_order': 476, 'label': '238A-71', 'order': 238, 'powers': [104, 141, 33, 8], 'representative': 194, 'size': 2}
-
id: 110376109
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 167, 'group_counter': 1, 'group_order': 476, 'label': '238A81', 'order': 238, 'powers': [82, 127, 41, 9], 'representative': 326, 'size': 2}
-
id: 110376110
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 168, 'group_counter': 1, 'group_order': 476, 'label': '238A-81', 'order': 238, 'powers': [81, 128, 42, 9], 'representative': 18, 'size': 2}
-
id: 110376111
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 169, 'group_counter': 1, 'group_order': 476, 'label': '238A95', 'order': 238, 'powers': [91, 155, 31, 9], 'representative': 42, 'size': 2}
-
id: 110376113
{'aut_label': '238A1', 'centralizer': '2.a1.a1', 'counter': 170, 'group_counter': 1, 'group_order': 476, 'label': '238A-95', 'order': 238, 'powers': [92, 156, 32, 9], 'representative': 98, 'size': 2}
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gps_qchar • Show schema
Hide schema
-
id: 4601412
{'cdim': 1, 'counter': 1, 'faithful': False, 'group': '476.1', 'group_order': 476, 'image': None, 'label': '476.1.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 4601414
{'cdim': 1, 'counter': 2, 'faithful': False, 'group': '476.1', 'group_order': 476, 'image': None, 'label': '476.1.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 4601415
{'cdim': 1, 'counter': 3, 'faithful': False, 'group': '476.1', 'group_order': 476, 'image': None, 'label': '476.1.1c', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, 0, 0, 2, 2, 2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 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, -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], 'schur_index': 1}
-
id: 4601419
{'cdim': 2, 'counter': 7, 'faithful': False, 'group': '476.1', 'group_order': 476, 'image': None, 'label': '476.1.2a', 'multiplicity': 3, 'nt': [7, 2], 'qdim': 6, 'qvalues': [6, 6, 0, 0, -1, -1, -1, -1, -1, -1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 4601420
{'cdim': 2, 'counter': 8, 'faithful': False, 'group': '476.1', 'group_order': 476, 'image': None, 'label': '476.1.2b', 'multiplicity': 3, 'nt': [28, 3], 'qdim': 6, 'qvalues': [6, -6, 0, 0, -1, -1, -1, 1, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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': 2}
-
id: 4601416
{'cdim': 1, 'counter': 4, 'faithful': False, 'group': '476.1', 'group_order': 476, 'image': None, 'label': '476.1.1d', 'multiplicity': 16, 'nt': [17, 1], 'qdim': 16, 'qvalues': [16, 16, 16, 16, 16, 16, 16, 16, 16, 16, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 4601417
{'cdim': 1, 'counter': 5, 'faithful': False, 'group': '476.1', 'group_order': 476, 'image': None, 'label': '476.1.1e', 'multiplicity': 16, 'nt': [34, 1], 'qdim': 16, 'qvalues': [16, 16, -16, -16, 16, 16, 16, 16, 16, 16, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 4601418
{'cdim': 1, 'counter': 6, 'faithful': False, 'group': '476.1', 'group_order': 476, 'image': None, 'label': '476.1.1f', 'multiplicity': 32, 'nt': [68, 0], 'qdim': 32, 'qvalues': [32, -32, 0, 0, 32, 32, 32, -32, -32, -32, -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, -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, 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], 'schur_index': 1}
-
id: 4601421
{'cdim': 2, 'counter': 9, 'faithful': False, 'group': '476.1', 'group_order': 476, 'image': None, 'label': '476.1.2c', 'multiplicity': 48, 'nt': [119, 0], 'qdim': 96, 'qvalues': [96, 96, 0, 0, -16, -16, -16, -16, -16, -16, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 4601413
{'cdim': 2, 'counter': 10, 'faithful': True, 'group': '476.1', 'group_order': 476, 'image': None, 'label': '476.1.2d', 'multiplicity': 48, 'nt': [476, 0], 'qdim': 96, 'qvalues': [96, -96, 0, 0, -16, -16, -16, 16, 16, 16, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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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gps_char • Show schema
Hide schema
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id: 7283493
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 476, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '476.1', 'group_counter': 1, 'group_order': 476, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 476, 'label': '476.1.1a', 'nt': [1, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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: 7283575
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id: 7283586
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id: 7283597
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id: 7283608
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id: 7283538
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id: 7283549
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id: 7283560
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id: 7283571
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id: 7283573
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id: 7283574
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id: 7283576
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id: 7283619
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id: 7283630
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id: 7283641
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 476, 'counter': 8, 'cyclotomic_n': 17, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '476.1', 'group_counter': 1, 'group_order': 476, 'image': None, 'image_isoclass': '17.1', 'image_order': 17, 'indicator': 0, 'kernel': '17.a1.a1', 'kernel_order': 28, 'label': '476.1.1d4', 'nt': [17, 16], '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, 7]], [[1, 3]], [[1, -1]], [[1, -2]], [[1, 8]], [[1, -5]], [[1, -6]], [[1, 5]], [[1, -8]], [[1, 6]], [[1, -4]], [[1, 4]], [[1, -7]], [[1, -3]], [[1, 1]], [[1, 2]], [[1, -3]], [[1, -2]], [[1, 1]], [[1, -5]], [[1, -8]], [[1, 3]], [[1, 6]], [[1, 7]], [[1, 4]], [[1, 8]], [[1, 5]], [[1, -1]], [[1, 2]], [[1, -7]], [[1, -4]], [[1, -6]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -7]], [[1, -8]], [[1, 8]], [[1, -8]], [[1, 3]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -4]], [[1, -5]], [[1, 5]], [[1, -6]], [[1, -5]], [[1, 6]], [[1, 7]], [[1, 5]], [[1, 4]], [[1, -4]], [[1, -3]], [[1, -2]], [[1, -3]], [[1, 3]], [[1, 4]], [[1, 8]], [[1, 7]], [[1, -7]], [[1, -6]], [[1, 6]], [[1, -7]], [[1, 6]], [[1, -8]], [[1, -3]], [[1, -2]], [[1, -5]], [[1, -1]], [[1, -5]], [[1, -1]], [[1, -4]], [[1, -1]], [[1, 6]], [[1, 8]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 7]], [[1, -8]], [[1, -3]], [[1, -5]], [[1, 5]], [[1, 2]], [[1, 5]], [[1, -7]], [[1, 4]], [[1, 4]], [[1, -8]], [[1, 8]], [[1, -2]], [[1, -7]], [[1, -6]], [[1, 3]], [[1, -6]], [[1, 4]], [[1, 3]], [[1, 2]], [[1, -4]], [[1, 5]], [[1, -2]], [[1, 2]], [[1, -3]], [[1, -4]], [[1, 1]], [[1, 7]], [[1, -6]], [[1, 7]], [[1, 8]], [[1, 6]], [[1, 8]], [[1, 7]], [[1, 5]], [[1, 3]], [[1, 2]], [[1, 4]], [[1, 2]], [[1, -8]], [[1, -2]], [[1, -6]], [[1, -7]], [[1, -4]], [[1, -8]], [[1, 3]], [[1, -4]], [[1, -6]], [[1, -1]], [[1, 4]], [[1, -5]], [[1, 6]], [[1, -2]], [[1, 8]], [[1, -1]], [[1, 6]], [[1, 5]], [[1, -3]], [[1, 4]], [[1, -5]], [[1, -3]], [[1, 8]], [[1, 6]], [[1, -8]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -7]], [[1, 7]], [[1, 7]], [[1, 5]], [[1, -2]], [[1, -5]], [[1, -3]], [[1, 3]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, -6]], [[1, -7]]]}
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id: 7283652
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id: 7283494
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id: 7283505
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id: 7283516
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id: 7283527
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id: 7283577
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id: 7283587
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id: 7283588
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id: 7283589
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id: 7283590
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id: 7283591
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id: 7283592
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id: 7283593
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id: 7283578
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id: 7283579
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id: 7283580
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id: 7283581
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id: 7283582
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id: 7283583
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id: 7283584
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id: 7283585
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 476, 'counter': 29, 'cyclotomic_n': 17, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '476.1', 'group_counter': 1, 'group_order': 476, 'image': None, 'image_isoclass': '34.2', 'image_order': 34, 'indicator': 0, 'kernel': '34.a1.a1', 'kernel_order': 14, 'label': '476.1.1e9', 'nt': [34, 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, -4]], [[1, 8]], [[1, 3]], [[1, 6]], [[1, -7]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 7]], [[1, -1]], [[1, -5]], [[1, 5]], [[1, 4]], [[1, -8]], [[1, -3]], [[1, -6]], [[1, -8]], [[1, 6]], [[1, -3]], [[1, -2]], [[1, 7]], [[1, 8]], [[1, -1]], [[1, -4]], [[1, 5]], [[1, -7]], [[1, 2]], [[1, 3]], [[1, -6]], [[1, 4]], [[1, -5]], [[1, 1]], [[-1, -3]], [[-1, 3]], [[-1, -3]], [[-1, -6]], [[-1, 4]], [[-1, 7]], [[-1, -7]], [[-1, 7]], [[-1, 8]], [[-1, -6]], [[-1, 6]], [[-1, 3]], [[-1, -5]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -4]], [[-1, 2]], [[-1, 5]], [[-1, -5]], [[-1, -8]], [[-1, 6]], [[-1, -8]], [[-1, 8]], [[-1, 5]], [[-1, -7]], [[-1, -4]], [[-1, 4]], [[-1, 1]], [[-1, -1]], [[1, 4]], [[1, -1]], [[1, 7]], [[1, -8]], [[1, 6]], [[1, -2]], [[1, 3]], [[1, -2]], [[1, 3]], [[1, -5]], [[1, 3]], [[1, -1]], [[1, -7]], [[1, 8]], [[1, -3]], [[1, -3]], [[1, -4]], [[1, 7]], [[1, -8]], [[1, -2]], [[1, 2]], [[1, -6]], [[1, 2]], [[1, 4]], [[1, 5]], [[1, 5]], [[1, 7]], [[1, -7]], [[1, 6]], [[1, 4]], [[1, 1]], [[1, 8]], [[1, 1]], [[1, 5]], [[1, 8]], [[1, -6]], [[1, -5]], [[1, 2]], [[1, 6]], [[1, -6]], [[1, -8]], [[1, -5]], [[1, -3]], [[1, -4]], [[1, 1]], [[1, -4]], [[1, -7]], [[1, -1]], [[1, -7]], [[1, -4]], [[1, 2]], [[1, 8]], [[1, -6]], [[1, 5]], [[1, -6]], [[1, 7]], [[1, 6]], [[1, 1]], [[1, 4]], [[1, -5]], [[1, 7]], [[1, 8]], [[1, -5]], [[1, 1]], [[1, 3]], [[1, 5]], [[1, -2]], [[1, -1]], [[1, 6]], [[1, -7]], [[1, 3]], [[1, -1]], [[1, 2]], [[1, -8]], [[1, 5]], [[1, -2]], [[1, -8]], [[1, -7]], [[1, -1]], [[1, 7]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, 4]], [[1, -4]], [[1, -4]], [[1, 2]], [[1, 6]], [[1, -2]], [[1, -8]], [[1, 8]], [[1, -5]], [[1, -6]], [[1, -3]], [[1, 1]], [[1, 4]]]}
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id: 7283594
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 476, 'counter': 37, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '476.1', 'group_counter': 1, 'group_order': 476, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.a1.a1', 'kernel_order': 7, 'label': '476.1.1f1', 'nt': [68, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 17]], [[1, 17]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 30]], [[1, 24]], [[-1, 14]], [[1, 12]], [[-1, 18]], [[1, 8]], [[1, 16]], [[-1, 22]], [[-1, 26]], [[1, 28]], [[-1, 6]], [[1, 32]], [[1, 4]], [[-1, 10]], [[1, 20]], [[-1, 4]], [[1, 14]], [[1, 10]], [[1, 18]], [[1, 22]], [[1, 30]], [[1, 26]], [[1, 2]], [[1, 6]], [[-1, 12]], [[-1, 16]], [[-1, 24]], [[-1, 20]], [[-1, 32]], [[-1, 28]], [[-1, 8]], [[1, 27]], [[-1, 7]], [[-1, 27]], [[1, 3]], [[1, 15]], [[1, 5]], [[1, 29]], [[-1, 5]], [[-1, 13]], [[-1, 3]], [[-1, 31]], [[1, 7]], [[1, 11]], [[1, 1]], [[1, 33]], [[1, 25]], [[-1, 1]], [[1, 9]], [[1, 19]], [[-1, 33]], [[-1, 23]], [[-1, 11]], [[-1, 21]], [[1, 31]], [[1, 21]], [[1, 13]], [[1, 23]], [[-1, 29]], [[-1, 19]], [[-1, 15]], [[-1, 25]], [[-1, 9]], [[1, 32]], [[-1, 26]], [[-1, 22]], [[1, 4]], [[-1, 14]], [[-1, 18]], [[1, 24]], [[-1, 18]], [[1, 24]], [[1, 28]], [[1, 24]], [[-1, 26]], [[1, 12]], [[-1, 30]], [[-1, 10]], [[-1, 10]], [[-1, 2]], [[-1, 22]], [[1, 4]], [[-1, 18]], [[1, 16]], [[1, 20]], [[1, 16]], [[1, 32]], [[-1, 6]], [[-1, 6]], [[-1, 22]], [[1, 12]], [[-1, 14]], [[1, 32]], [[1, 8]], [[-1, 30]], [[1, 8]], [[-1, 6]], [[-1, 30]], [[1, 20]], [[1, 28]], [[1, 16]], [[-1, 14]], [[1, 20]], [[1, 4]], [[1, 28]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[-1, 2]], [[1, 12]], [[-1, 26]], [[-1, 12]], [[1, 2]], [[-1, 16]], [[1, 30]], [[-1, 20]], [[1, 6]], [[-1, 20]], [[1, 22]], [[1, 14]], [[-1, 8]], [[-1, 32]], [[-1, 28]], [[1, 22]], [[1, 30]], [[-1, 28]], [[-1, 8]], [[-1, 24]], [[1, 6]], [[1, 18]], [[1, 26]], [[1, 14]], [[-1, 12]], [[-1, 24]], [[1, 26]], [[-1, 16]], [[-1, 4]], [[1, 6]], [[1, 18]], [[-1, 4]], [[-1, 12]], [[1, 26]], [[1, 22]], [[-1, 24]], [[1, 10]], [[1, 10]], [[-1, 32]], [[1, 2]], [[1, 2]], [[-1, 16]], [[1, 14]], [[1, 18]], [[-1, 4]], [[1, 30]], [[-1, 28]], [[-1, 20]], [[1, 10]], [[-1, 8]], [[-1, 32]]]}
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id: 7283604
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 476, 'counter': 46, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '476.1', 'group_counter': 1, 'group_order': 476, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.a1.a1', 'kernel_order': 7, 'label': '476.1.1f10', 'nt': [68, 32], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 17]], [[-1, 17]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 24]], [[1, 20]], [[1, 16]], [[1, 32]], [[1, 8]], [[1, 12]], [[1, 28]], [[-1, 22]], [[-1, 26]], [[-1, 6]], [[-1, 30]], [[1, 4]], [[-1, 10]], [[-1, 14]], [[-1, 18]], [[-1, 2]], [[1, 14]], [[-1, 32]], [[1, 18]], [[-1, 12]], [[1, 26]], [[-1, 20]], [[1, 6]], [[-1, 24]], [[-1, 4]], [[-1, 8]], [[1, 22]], [[-1, 16]], [[1, 2]], [[1, 10]], [[1, 30]], [[-1, 28]], [[1, 1]], [[-1, 33]], [[-1, 1]], [[-1, 19]], [[-1, 27]], [[-1, 9]], [[-1, 25]], [[1, 9]], [[-1, 3]], [[1, 19]], [[1, 15]], [[1, 33]], [[1, 13]], [[-1, 29]], [[-1, 5]], [[1, 11]], [[1, 29]], [[1, 23]], [[-1, 7]], [[1, 5]], [[-1, 21]], [[-1, 13]], [[-1, 31]], [[-1, 15]], [[1, 31]], [[1, 3]], [[1, 21]], [[1, 25]], [[1, 7]], [[1, 27]], [[-1, 11]], [[-1, 23]], [[-1, 10]], [[-1, 6]], [[-1, 26]], [[-1, 14]], [[1, 32]], [[1, 12]], [[1, 16]], [[1, 12]], [[1, 16]], [[-1, 30]], [[1, 16]], [[-1, 6]], [[1, 8]], [[1, 20]], [[-1, 18]], [[-1, 18]], [[1, 24]], [[-1, 26]], [[-1, 14]], [[1, 12]], [[-1, 22]], [[-1, 2]], [[-1, 22]], [[-1, 10]], [[1, 4]], [[1, 4]], [[-1, 26]], [[1, 8]], [[1, 32]], [[-1, 10]], [[1, 28]], [[1, 20]], [[1, 28]], [[1, 4]], [[1, 20]], [[-1, 2]], [[-1, 30]], [[-1, 22]], [[1, 32]], [[-1, 2]], [[-1, 14]], [[-1, 30]], [[-1, 18]], [[1, 24]], [[1, 28]], [[1, 24]], [[1, 8]], [[-1, 6]], [[-1, 8]], [[-1, 24]], [[1, 22]], [[-1, 20]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 26]], [[-1, 32]], [[-1, 28]], [[1, 10]], [[1, 30]], [[1, 26]], [[-1, 20]], [[1, 30]], [[-1, 28]], [[-1, 16]], [[-1, 4]], [[-1, 12]], [[1, 6]], [[-1, 32]], [[-1, 8]], [[-1, 16]], [[1, 6]], [[1, 22]], [[1, 14]], [[-1, 4]], [[-1, 12]], [[1, 14]], [[-1, 8]], [[1, 6]], [[1, 26]], [[-1, 16]], [[1, 18]], [[1, 18]], [[1, 10]], [[-1, 24]], [[-1, 24]], [[1, 22]], [[-1, 32]], [[-1, 12]], [[1, 14]], [[-1, 20]], [[1, 30]], [[1, 2]], [[1, 18]], [[-1, 28]], [[1, 10]]]}
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id: 7283605
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 476, 'counter': 47, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '476.1', 'group_counter': 1, 'group_order': 476, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.a1.a1', 'kernel_order': 7, 'label': '476.1.1f11', 'nt': [68, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 17]], [[1, 17]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 24]], [[1, 20]], [[1, 16]], [[1, 32]], [[1, 8]], [[1, 12]], [[1, 28]], [[-1, 22]], [[-1, 26]], [[-1, 6]], [[-1, 30]], [[1, 4]], [[-1, 10]], [[-1, 14]], [[-1, 18]], [[-1, 2]], [[1, 14]], [[-1, 32]], [[1, 18]], [[-1, 12]], [[1, 26]], [[-1, 20]], [[1, 6]], [[-1, 24]], [[-1, 4]], [[-1, 8]], [[1, 22]], [[-1, 16]], [[1, 2]], [[1, 10]], [[1, 30]], [[-1, 28]], [[-1, 1]], [[1, 33]], [[1, 1]], [[1, 19]], [[1, 27]], [[1, 9]], [[1, 25]], [[-1, 9]], [[1, 3]], [[-1, 19]], [[-1, 15]], [[-1, 33]], [[-1, 13]], [[1, 29]], [[1, 5]], [[-1, 11]], [[-1, 29]], [[-1, 23]], [[1, 7]], [[-1, 5]], [[1, 21]], [[1, 13]], [[1, 31]], [[1, 15]], [[-1, 31]], [[-1, 3]], [[-1, 21]], [[-1, 25]], [[-1, 7]], [[-1, 27]], [[1, 11]], [[1, 23]], [[-1, 10]], [[-1, 6]], [[-1, 26]], [[-1, 14]], [[1, 32]], [[1, 12]], [[1, 16]], [[1, 12]], [[1, 16]], [[-1, 30]], [[1, 16]], [[-1, 6]], [[1, 8]], [[1, 20]], [[-1, 18]], [[-1, 18]], [[1, 24]], [[-1, 26]], [[-1, 14]], [[1, 12]], [[-1, 22]], [[-1, 2]], [[-1, 22]], [[-1, 10]], [[1, 4]], [[1, 4]], [[-1, 26]], [[1, 8]], [[1, 32]], [[-1, 10]], [[1, 28]], [[1, 20]], [[1, 28]], [[1, 4]], [[1, 20]], [[-1, 2]], [[-1, 30]], [[-1, 22]], [[1, 32]], [[-1, 2]], [[-1, 14]], [[-1, 30]], [[-1, 18]], [[1, 24]], [[1, 28]], [[1, 24]], [[1, 8]], [[-1, 6]], [[-1, 8]], [[-1, 24]], [[1, 22]], [[-1, 20]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 26]], [[-1, 32]], [[-1, 28]], [[1, 10]], [[1, 30]], [[1, 26]], [[-1, 20]], [[1, 30]], [[-1, 28]], [[-1, 16]], [[-1, 4]], [[-1, 12]], [[1, 6]], [[-1, 32]], [[-1, 8]], [[-1, 16]], [[1, 6]], [[1, 22]], [[1, 14]], [[-1, 4]], [[-1, 12]], [[1, 14]], [[-1, 8]], [[1, 6]], [[1, 26]], [[-1, 16]], [[1, 18]], [[1, 18]], [[1, 10]], [[-1, 24]], [[-1, 24]], [[1, 22]], [[-1, 32]], [[-1, 12]], [[1, 14]], [[-1, 20]], [[1, 30]], [[1, 2]], [[1, 18]], [[-1, 28]], [[1, 10]]]}
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id: 7283606
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 476, 'counter': 48, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '476.1', 'group_counter': 1, 'group_order': 476, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.a1.a1', 'kernel_order': 7, 'label': '476.1.1f12', 'nt': [68, 32], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 17]], [[-1, 17]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 10]], [[-1, 14]], [[-1, 18]], [[-1, 2]], [[-1, 26]], [[-1, 22]], [[-1, 6]], [[1, 12]], [[1, 8]], [[1, 28]], [[1, 4]], [[-1, 30]], [[1, 24]], [[1, 20]], [[1, 16]], [[1, 32]], [[-1, 20]], [[1, 2]], [[-1, 16]], [[1, 22]], [[-1, 8]], [[1, 14]], [[-1, 28]], [[1, 10]], [[1, 30]], [[1, 26]], [[-1, 12]], [[1, 18]], [[-1, 32]], [[-1, 24]], [[-1, 4]], [[1, 6]], [[1, 33]], [[-1, 1]], [[-1, 33]], [[-1, 15]], [[-1, 7]], [[-1, 25]], [[-1, 9]], [[1, 25]], [[-1, 31]], [[1, 15]], [[1, 19]], [[1, 1]], [[1, 21]], [[-1, 5]], [[-1, 29]], [[1, 23]], [[1, 5]], [[1, 11]], [[-1, 27]], [[1, 29]], [[-1, 13]], [[-1, 21]], [[-1, 3]], [[-1, 19]], [[1, 3]], [[1, 31]], [[1, 13]], [[1, 9]], [[1, 27]], [[1, 7]], [[-1, 23]], [[-1, 11]], [[1, 24]], [[1, 28]], [[1, 8]], [[1, 20]], [[-1, 2]], [[-1, 22]], [[-1, 18]], [[-1, 22]], [[-1, 18]], [[1, 4]], [[-1, 18]], [[1, 28]], [[-1, 26]], [[-1, 14]], [[1, 16]], [[1, 16]], [[-1, 10]], [[1, 8]], [[1, 20]], [[-1, 22]], [[1, 12]], [[1, 32]], [[1, 12]], [[1, 24]], [[-1, 30]], [[-1, 30]], [[1, 8]], [[-1, 26]], [[-1, 2]], [[1, 24]], [[-1, 6]], [[-1, 14]], [[-1, 6]], [[-1, 30]], [[-1, 14]], [[1, 32]], [[1, 4]], [[1, 12]], [[-1, 2]], [[1, 32]], [[1, 20]], [[1, 4]], [[1, 16]], [[-1, 10]], [[-1, 6]], [[-1, 10]], [[-1, 26]], [[1, 28]], [[1, 26]], [[1, 10]], [[-1, 12]], [[1, 14]], [[-1, 32]], [[1, 30]], [[-1, 32]], [[-1, 8]], [[1, 2]], [[1, 6]], [[-1, 24]], [[-1, 4]], [[-1, 8]], [[1, 14]], [[-1, 4]], [[1, 6]], [[1, 18]], [[1, 30]], [[1, 22]], [[-1, 28]], [[1, 2]], [[1, 26]], [[1, 18]], [[-1, 28]], [[-1, 12]], [[-1, 20]], [[1, 30]], [[1, 22]], [[-1, 20]], [[1, 26]], [[-1, 28]], [[-1, 8]], [[1, 18]], [[-1, 16]], [[-1, 16]], [[-1, 24]], [[1, 10]], [[1, 10]], [[-1, 12]], [[1, 2]], [[1, 22]], [[-1, 20]], [[1, 14]], [[-1, 4]], [[-1, 32]], [[-1, 16]], [[1, 6]], [[-1, 24]]]}
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id: 7283607
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 476, 'counter': 49, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '476.1', 'group_counter': 1, 'group_order': 476, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.a1.a1', 'kernel_order': 7, 'label': '476.1.1f13', 'nt': [68, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 17]], [[1, 17]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 14]], [[-1, 6]], [[1, 32]], [[-1, 30]], [[1, 16]], [[1, 24]], [[-1, 22]], [[-1, 10]], [[-1, 18]], [[1, 12]], [[-1, 26]], [[1, 8]], [[1, 20]], [[1, 28]], [[-1, 2]], [[1, 4]], [[-1, 28]], [[1, 30]], [[1, 2]], [[-1, 24]], [[1, 18]], [[1, 6]], [[-1, 12]], [[1, 14]], [[-1, 8]], [[-1, 16]], [[1, 10]], [[-1, 32]], [[-1, 4]], [[-1, 20]], [[1, 26]], [[1, 22]], [[1, 19]], [[-1, 15]], [[-1, 19]], [[-1, 21]], [[1, 3]], [[1, 1]], [[1, 33]], [[-1, 1]], [[1, 23]], [[1, 21]], [[1, 13]], [[1, 15]], [[-1, 9]], [[-1, 7]], [[-1, 27]], [[1, 5]], [[1, 7]], [[1, 29]], [[1, 31]], [[1, 27]], [[1, 25]], [[1, 9]], [[1, 11]], [[-1, 13]], [[-1, 11]], [[-1, 23]], [[-1, 25]], [[-1, 33]], [[-1, 31]], [[-1, 3]], [[-1, 5]], [[-1, 29]], [[1, 20]], [[1, 12]], [[-1, 18]], [[1, 28]], [[-1, 30]], [[1, 24]], [[1, 32]], [[1, 24]], [[1, 32]], [[-1, 26]], [[1, 32]], [[1, 12]], [[1, 16]], [[-1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 14]], [[-1, 18]], [[1, 28]], [[1, 24]], [[-1, 10]], [[1, 4]], [[-1, 10]], [[1, 20]], [[1, 8]], [[1, 8]], [[-1, 18]], [[1, 16]], [[-1, 30]], [[1, 20]], [[-1, 22]], [[-1, 6]], [[-1, 22]], [[1, 8]], [[-1, 6]], [[1, 4]], [[-1, 26]], [[-1, 10]], [[-1, 30]], [[1, 4]], [[1, 28]], [[-1, 26]], [[-1, 2]], [[-1, 14]], [[-1, 22]], [[-1, 14]], [[1, 16]], [[1, 12]], [[-1, 16]], [[1, 14]], [[1, 10]], [[1, 6]], [[-1, 4]], [[-1, 8]], [[-1, 4]], [[1, 18]], [[1, 30]], [[1, 22]], [[-1, 20]], [[1, 26]], [[1, 18]], [[1, 6]], [[1, 26]], [[1, 22]], [[-1, 32]], [[-1, 8]], [[-1, 24]], [[-1, 12]], [[1, 30]], [[-1, 16]], [[-1, 32]], [[-1, 12]], [[1, 10]], [[-1, 28]], [[-1, 8]], [[-1, 24]], [[-1, 28]], [[-1, 16]], [[-1, 12]], [[1, 18]], [[-1, 32]], [[1, 2]], [[1, 2]], [[-1, 20]], [[1, 14]], [[1, 14]], [[1, 10]], [[1, 30]], [[-1, 24]], [[-1, 28]], [[1, 6]], [[1, 26]], [[-1, 4]], [[1, 2]], [[1, 22]], [[-1, 20]]]}
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id: 7283609
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id: 7283610
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id: 7283611
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 476, 'counter': 52, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '476.1', 'group_counter': 1, 'group_order': 476, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.a1.a1', 'kernel_order': 7, 'label': '476.1.1f16', 'nt': [68, 32], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 17]], [[-1, 17]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 14]], [[-1, 6]], [[1, 32]], [[-1, 30]], [[1, 16]], [[1, 24]], [[-1, 22]], [[-1, 10]], [[-1, 18]], [[1, 12]], [[-1, 26]], [[1, 8]], [[1, 20]], [[1, 28]], [[-1, 2]], [[1, 4]], [[-1, 28]], [[1, 30]], [[1, 2]], [[-1, 24]], [[1, 18]], [[1, 6]], [[-1, 12]], [[1, 14]], [[-1, 8]], [[-1, 16]], [[1, 10]], [[-1, 32]], [[-1, 4]], [[-1, 20]], [[1, 26]], [[1, 22]], [[-1, 19]], [[1, 15]], [[1, 19]], [[1, 21]], [[-1, 3]], [[-1, 1]], [[-1, 33]], [[1, 1]], [[-1, 23]], [[-1, 21]], [[-1, 13]], [[-1, 15]], [[1, 9]], [[1, 7]], [[1, 27]], [[-1, 5]], [[-1, 7]], [[-1, 29]], [[-1, 31]], [[-1, 27]], [[-1, 25]], [[-1, 9]], [[-1, 11]], [[1, 13]], [[1, 11]], [[1, 23]], [[1, 25]], [[1, 33]], [[1, 31]], [[1, 3]], [[1, 5]], [[1, 29]], [[1, 20]], [[1, 12]], [[-1, 18]], [[1, 28]], [[-1, 30]], [[1, 24]], [[1, 32]], [[1, 24]], [[1, 32]], [[-1, 26]], [[1, 32]], [[1, 12]], [[1, 16]], [[-1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 14]], [[-1, 18]], [[1, 28]], [[1, 24]], [[-1, 10]], [[1, 4]], [[-1, 10]], [[1, 20]], [[1, 8]], [[1, 8]], [[-1, 18]], [[1, 16]], [[-1, 30]], [[1, 20]], [[-1, 22]], [[-1, 6]], [[-1, 22]], [[1, 8]], [[-1, 6]], [[1, 4]], [[-1, 26]], [[-1, 10]], [[-1, 30]], [[1, 4]], [[1, 28]], [[-1, 26]], [[-1, 2]], [[-1, 14]], [[-1, 22]], [[-1, 14]], [[1, 16]], [[1, 12]], [[-1, 16]], [[1, 14]], [[1, 10]], [[1, 6]], [[-1, 4]], [[-1, 8]], [[-1, 4]], [[1, 18]], [[1, 30]], [[1, 22]], [[-1, 20]], [[1, 26]], [[1, 18]], [[1, 6]], [[1, 26]], [[1, 22]], [[-1, 32]], [[-1, 8]], [[-1, 24]], [[-1, 12]], [[1, 30]], [[-1, 16]], [[-1, 32]], [[-1, 12]], [[1, 10]], [[-1, 28]], [[-1, 8]], [[-1, 24]], [[-1, 28]], [[-1, 16]], [[-1, 12]], [[1, 18]], [[-1, 32]], [[1, 2]], [[1, 2]], [[-1, 20]], [[1, 14]], [[1, 14]], [[1, 10]], [[1, 30]], [[-1, 24]], [[-1, 28]], [[1, 6]], [[1, 26]], [[-1, 4]], [[1, 2]], [[1, 22]], [[-1, 20]]]}
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id: 7283612
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 476, 'counter': 53, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '476.1', 'group_counter': 1, 'group_order': 476, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.a1.a1', 'kernel_order': 7, 'label': '476.1.1f17', 'nt': [68, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 17]], [[1, 17]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 18]], [[1, 32]], [[1, 12]], [[1, 24]], [[-1, 6]], [[-1, 26]], [[1, 4]], [[1, 8]], [[1, 28]], [[-1, 30]], [[-1, 14]], [[1, 20]], [[1, 16]], [[-1, 2]], [[-1, 22]], [[-1, 10]], [[1, 2]], [[-1, 24]], [[1, 22]], [[1, 26]], [[-1, 28]], [[-1, 32]], [[1, 30]], [[1, 18]], [[-1, 20]], [[1, 6]], [[-1, 8]], [[-1, 12]], [[1, 10]], [[-1, 16]], [[1, 14]], [[-1, 4]], [[-1, 5]], [[1, 29]], [[1, 5]], [[1, 27]], [[-1, 33]], [[-1, 11]], [[-1, 23]], [[1, 11]], [[1, 15]], [[-1, 27]], [[-1, 7]], [[-1, 29]], [[1, 31]], [[1, 9]], [[1, 25]], [[1, 21]], [[-1, 9]], [[1, 13]], [[-1, 1]], [[-1, 25]], [[-1, 3]], [[-1, 31]], [[1, 19]], [[1, 7]], [[-1, 19]], [[-1, 15]], [[1, 3]], [[1, 23]], [[1, 1]], [[1, 33]], [[-1, 21]], [[-1, 13]], [[1, 16]], [[-1, 30]], [[1, 28]], [[-1, 2]], [[1, 24]], [[-1, 26]], [[1, 12]], [[-1, 26]], [[1, 12]], [[-1, 14]], [[1, 12]], [[-1, 30]], [[-1, 6]], [[1, 32]], [[-1, 22]], [[-1, 22]], [[-1, 18]], [[1, 28]], [[-1, 2]], [[-1, 26]], [[1, 8]], [[-1, 10]], [[1, 8]], [[1, 16]], [[1, 20]], [[1, 20]], [[1, 28]], [[-1, 6]], [[1, 24]], [[1, 16]], [[1, 4]], [[1, 32]], [[1, 4]], [[1, 20]], [[1, 32]], [[-1, 10]], [[-1, 14]], [[1, 8]], [[1, 24]], [[-1, 10]], [[-1, 2]], [[-1, 14]], [[-1, 22]], [[-1, 18]], [[1, 4]], [[-1, 18]], [[-1, 6]], [[-1, 30]], [[1, 6]], [[1, 18]], [[-1, 8]], [[-1, 32]], [[1, 10]], [[-1, 20]], [[1, 10]], [[-1, 28]], [[-1, 24]], [[-1, 4]], [[-1, 16]], [[1, 14]], [[-1, 28]], [[-1, 32]], [[1, 14]], [[-1, 4]], [[-1, 12]], [[-1, 20]], [[1, 26]], [[1, 30]], [[-1, 24]], [[1, 6]], [[-1, 12]], [[1, 30]], [[-1, 8]], [[1, 2]], [[-1, 20]], [[1, 26]], [[1, 2]], [[1, 6]], [[1, 30]], [[-1, 28]], [[-1, 12]], [[1, 22]], [[1, 22]], [[-1, 16]], [[1, 18]], [[1, 18]], [[-1, 8]], [[-1, 24]], [[1, 26]], [[1, 2]], [[-1, 32]], [[1, 14]], [[1, 10]], [[1, 22]], [[-1, 4]], [[-1, 16]]]}
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id: 7283613
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 476, 'counter': 54, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '476.1', 'group_counter': 1, 'group_order': 476, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.a1.a1', 'kernel_order': 7, 'label': '476.1.1f18', 'nt': [68, 32], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 17]], [[-1, 17]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 16]], [[-1, 2]], [[-1, 22]], [[-1, 10]], [[1, 28]], [[1, 8]], [[-1, 30]], [[-1, 26]], [[-1, 6]], [[1, 4]], [[1, 20]], [[-1, 14]], [[-1, 18]], [[1, 32]], [[1, 12]], [[1, 24]], [[-1, 32]], [[1, 10]], [[-1, 12]], [[-1, 8]], [[1, 6]], [[1, 2]], [[-1, 4]], [[-1, 16]], [[1, 14]], [[-1, 28]], [[1, 26]], [[1, 22]], [[-1, 24]], [[1, 18]], [[-1, 20]], [[1, 30]], [[1, 29]], [[-1, 5]], [[-1, 29]], [[-1, 7]], [[1, 1]], [[1, 23]], [[1, 11]], [[-1, 23]], [[-1, 19]], [[1, 7]], [[1, 27]], [[1, 5]], [[-1, 3]], [[-1, 25]], [[-1, 9]], [[-1, 13]], [[1, 25]], [[-1, 21]], [[1, 33]], [[1, 9]], [[1, 31]], [[1, 3]], [[-1, 15]], [[-1, 27]], [[1, 15]], [[1, 19]], [[-1, 31]], [[-1, 11]], [[-1, 33]], [[-1, 1]], [[1, 13]], [[1, 21]], [[-1, 18]], [[1, 4]], [[-1, 6]], [[1, 32]], [[-1, 10]], [[1, 8]], [[-1, 22]], [[1, 8]], [[-1, 22]], [[1, 20]], [[-1, 22]], [[1, 4]], [[1, 28]], [[-1, 2]], [[1, 12]], [[1, 12]], [[1, 16]], [[-1, 6]], [[1, 32]], [[1, 8]], [[-1, 26]], [[1, 24]], [[-1, 26]], [[-1, 18]], [[-1, 14]], [[-1, 14]], [[-1, 6]], [[1, 28]], [[-1, 10]], [[-1, 18]], [[-1, 30]], [[-1, 2]], [[-1, 30]], [[-1, 14]], [[-1, 2]], [[1, 24]], [[1, 20]], [[-1, 26]], [[-1, 10]], [[1, 24]], [[1, 32]], [[1, 20]], [[1, 12]], [[1, 16]], [[-1, 30]], [[1, 16]], [[1, 28]], [[1, 4]], [[-1, 28]], [[-1, 16]], [[1, 26]], [[1, 2]], [[-1, 24]], [[1, 14]], [[-1, 24]], [[1, 6]], [[1, 10]], [[1, 30]], [[1, 18]], [[-1, 20]], [[1, 6]], [[1, 2]], [[-1, 20]], [[1, 30]], [[1, 22]], [[1, 14]], [[-1, 8]], [[-1, 4]], [[1, 10]], [[-1, 28]], [[1, 22]], [[-1, 4]], [[1, 26]], [[-1, 32]], [[1, 14]], [[-1, 8]], [[-1, 32]], [[-1, 28]], [[-1, 4]], [[1, 6]], [[1, 22]], [[-1, 12]], [[-1, 12]], [[1, 18]], [[-1, 16]], [[-1, 16]], [[1, 26]], [[1, 10]], [[-1, 8]], [[-1, 32]], [[1, 2]], [[-1, 20]], [[-1, 24]], [[-1, 12]], [[1, 30]], [[1, 18]]]}
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id: 7283614
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 476, 'counter': 55, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '476.1', 'group_counter': 1, 'group_order': 476, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.a1.a1', 'kernel_order': 7, 'label': '476.1.1f19', 'nt': [68, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 17]], [[1, 17]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 16]], [[-1, 2]], [[-1, 22]], [[-1, 10]], [[1, 28]], [[1, 8]], [[-1, 30]], [[-1, 26]], [[-1, 6]], [[1, 4]], [[1, 20]], [[-1, 14]], [[-1, 18]], [[1, 32]], [[1, 12]], [[1, 24]], [[-1, 32]], [[1, 10]], [[-1, 12]], [[-1, 8]], [[1, 6]], [[1, 2]], [[-1, 4]], [[-1, 16]], [[1, 14]], [[-1, 28]], [[1, 26]], [[1, 22]], [[-1, 24]], [[1, 18]], [[-1, 20]], [[1, 30]], [[-1, 29]], [[1, 5]], [[1, 29]], [[1, 7]], [[-1, 1]], [[-1, 23]], [[-1, 11]], [[1, 23]], [[1, 19]], [[-1, 7]], [[-1, 27]], [[-1, 5]], [[1, 3]], [[1, 25]], [[1, 9]], [[1, 13]], [[-1, 25]], [[1, 21]], [[-1, 33]], [[-1, 9]], [[-1, 31]], [[-1, 3]], [[1, 15]], [[1, 27]], [[-1, 15]], [[-1, 19]], [[1, 31]], [[1, 11]], [[1, 33]], [[1, 1]], [[-1, 13]], [[-1, 21]], [[-1, 18]], [[1, 4]], [[-1, 6]], [[1, 32]], [[-1, 10]], [[1, 8]], [[-1, 22]], [[1, 8]], [[-1, 22]], [[1, 20]], [[-1, 22]], [[1, 4]], [[1, 28]], [[-1, 2]], [[1, 12]], [[1, 12]], [[1, 16]], [[-1, 6]], [[1, 32]], [[1, 8]], [[-1, 26]], [[1, 24]], [[-1, 26]], [[-1, 18]], [[-1, 14]], [[-1, 14]], [[-1, 6]], [[1, 28]], [[-1, 10]], [[-1, 18]], [[-1, 30]], [[-1, 2]], [[-1, 30]], [[-1, 14]], [[-1, 2]], [[1, 24]], [[1, 20]], [[-1, 26]], [[-1, 10]], [[1, 24]], [[1, 32]], [[1, 20]], [[1, 12]], [[1, 16]], [[-1, 30]], [[1, 16]], [[1, 28]], [[1, 4]], [[-1, 28]], [[-1, 16]], [[1, 26]], [[1, 2]], [[-1, 24]], [[1, 14]], [[-1, 24]], [[1, 6]], [[1, 10]], [[1, 30]], [[1, 18]], [[-1, 20]], [[1, 6]], [[1, 2]], [[-1, 20]], [[1, 30]], [[1, 22]], [[1, 14]], [[-1, 8]], [[-1, 4]], [[1, 10]], [[-1, 28]], [[1, 22]], [[-1, 4]], [[1, 26]], [[-1, 32]], [[1, 14]], [[-1, 8]], [[-1, 32]], [[-1, 28]], [[-1, 4]], [[1, 6]], [[1, 22]], [[-1, 12]], [[-1, 12]], [[1, 18]], [[-1, 16]], [[-1, 16]], [[1, 26]], [[1, 10]], [[-1, 8]], [[-1, 32]], [[1, 2]], [[-1, 20]], [[-1, 24]], [[-1, 12]], [[1, 30]], [[1, 18]]]}
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id: 7283595
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 476, 'counter': 38, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '476.1', 'group_counter': 1, 'group_order': 476, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.a1.a1', 'kernel_order': 7, 'label': '476.1.1f2', 'nt': [68, 32], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 17]], [[-1, 17]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 32]], [[1, 4]], [[-1, 10]], [[1, 20]], [[-1, 22]], [[1, 16]], [[-1, 26]], [[-1, 18]], [[1, 12]], [[1, 8]], [[-1, 6]], [[1, 28]], [[-1, 2]], [[-1, 30]], [[1, 24]], [[-1, 14]], [[1, 30]], [[-1, 20]], [[-1, 24]], [[-1, 16]], [[-1, 12]], [[-1, 4]], [[-1, 8]], [[-1, 32]], [[-1, 28]], [[1, 22]], [[1, 18]], [[1, 10]], [[1, 14]], [[1, 2]], [[1, 6]], [[1, 26]], [[-1, 7]], [[1, 27]], [[1, 7]], [[-1, 31]], [[-1, 19]], [[-1, 29]], [[-1, 5]], [[1, 29]], [[1, 21]], [[1, 31]], [[1, 3]], [[-1, 27]], [[-1, 23]], [[-1, 33]], [[-1, 1]], [[-1, 9]], [[1, 33]], [[-1, 25]], [[-1, 15]], [[1, 1]], [[1, 11]], [[1, 23]], [[1, 13]], [[-1, 3]], [[-1, 13]], [[-1, 21]], [[-1, 11]], [[1, 5]], [[1, 15]], [[1, 19]], [[1, 9]], [[1, 25]], [[-1, 2]], [[1, 8]], [[1, 12]], [[-1, 30]], [[1, 20]], [[1, 16]], [[-1, 10]], [[1, 16]], [[-1, 10]], [[-1, 6]], [[-1, 10]], [[1, 8]], [[-1, 22]], [[1, 4]], [[1, 24]], [[1, 24]], [[1, 32]], [[1, 12]], [[-1, 30]], [[1, 16]], [[-1, 18]], [[-1, 14]], [[-1, 18]], [[-1, 2]], [[1, 28]], [[1, 28]], [[1, 12]], [[-1, 22]], [[1, 20]], [[-1, 2]], [[-1, 26]], [[1, 4]], [[-1, 26]], [[1, 28]], [[1, 4]], [[-1, 14]], [[-1, 6]], [[-1, 18]], [[1, 20]], [[-1, 14]], [[-1, 30]], [[-1, 6]], [[1, 24]], [[1, 32]], [[-1, 26]], [[1, 32]], [[-1, 22]], [[1, 8]], [[1, 22]], [[-1, 32]], [[1, 18]], [[-1, 4]], [[1, 14]], [[-1, 28]], [[1, 14]], [[-1, 12]], [[-1, 20]], [[1, 26]], [[1, 2]], [[1, 6]], [[-1, 12]], [[-1, 4]], [[1, 6]], [[1, 26]], [[1, 10]], [[-1, 28]], [[-1, 16]], [[-1, 8]], [[-1, 20]], [[1, 22]], [[1, 10]], [[-1, 8]], [[1, 18]], [[1, 30]], [[-1, 28]], [[-1, 16]], [[1, 30]], [[1, 22]], [[-1, 8]], [[-1, 12]], [[1, 10]], [[-1, 24]], [[-1, 24]], [[1, 2]], [[-1, 32]], [[-1, 32]], [[1, 18]], [[-1, 20]], [[-1, 16]], [[1, 30]], [[-1, 4]], [[1, 6]], [[1, 14]], [[-1, 24]], [[1, 26]], [[1, 2]]]}
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id: 7283615
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 476, 'counter': 56, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '476.1', 'group_counter': 1, 'group_order': 476, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.a1.a1', 'kernel_order': 7, 'label': '476.1.1f20', 'nt': [68, 32], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 17]], [[-1, 17]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 18]], [[1, 32]], [[1, 12]], [[1, 24]], [[-1, 6]], [[-1, 26]], [[1, 4]], [[1, 8]], [[1, 28]], [[-1, 30]], [[-1, 14]], [[1, 20]], [[1, 16]], [[-1, 2]], [[-1, 22]], [[-1, 10]], [[1, 2]], [[-1, 24]], [[1, 22]], [[1, 26]], [[-1, 28]], [[-1, 32]], [[1, 30]], [[1, 18]], [[-1, 20]], [[1, 6]], [[-1, 8]], [[-1, 12]], [[1, 10]], [[-1, 16]], [[1, 14]], [[-1, 4]], [[1, 5]], [[-1, 29]], [[-1, 5]], [[-1, 27]], [[1, 33]], [[1, 11]], [[1, 23]], [[-1, 11]], [[-1, 15]], [[1, 27]], [[1, 7]], [[1, 29]], [[-1, 31]], [[-1, 9]], [[-1, 25]], [[-1, 21]], [[1, 9]], [[-1, 13]], [[1, 1]], [[1, 25]], [[1, 3]], [[1, 31]], [[-1, 19]], [[-1, 7]], [[1, 19]], [[1, 15]], [[-1, 3]], [[-1, 23]], [[-1, 1]], [[-1, 33]], [[1, 21]], [[1, 13]], [[1, 16]], [[-1, 30]], [[1, 28]], [[-1, 2]], [[1, 24]], [[-1, 26]], [[1, 12]], [[-1, 26]], [[1, 12]], [[-1, 14]], [[1, 12]], [[-1, 30]], [[-1, 6]], [[1, 32]], [[-1, 22]], [[-1, 22]], [[-1, 18]], [[1, 28]], [[-1, 2]], [[-1, 26]], [[1, 8]], [[-1, 10]], [[1, 8]], [[1, 16]], [[1, 20]], [[1, 20]], [[1, 28]], [[-1, 6]], [[1, 24]], [[1, 16]], [[1, 4]], [[1, 32]], [[1, 4]], [[1, 20]], [[1, 32]], [[-1, 10]], [[-1, 14]], [[1, 8]], [[1, 24]], [[-1, 10]], [[-1, 2]], [[-1, 14]], [[-1, 22]], [[-1, 18]], [[1, 4]], [[-1, 18]], [[-1, 6]], [[-1, 30]], [[1, 6]], [[1, 18]], [[-1, 8]], [[-1, 32]], [[1, 10]], [[-1, 20]], [[1, 10]], [[-1, 28]], [[-1, 24]], [[-1, 4]], [[-1, 16]], [[1, 14]], [[-1, 28]], [[-1, 32]], [[1, 14]], [[-1, 4]], [[-1, 12]], [[-1, 20]], [[1, 26]], [[1, 30]], [[-1, 24]], [[1, 6]], [[-1, 12]], [[1, 30]], [[-1, 8]], [[1, 2]], [[-1, 20]], [[1, 26]], [[1, 2]], [[1, 6]], [[1, 30]], [[-1, 28]], [[-1, 12]], [[1, 22]], [[1, 22]], [[-1, 16]], [[1, 18]], [[1, 18]], [[-1, 8]], [[-1, 24]], [[1, 26]], [[1, 2]], [[-1, 32]], [[1, 14]], [[1, 10]], [[1, 22]], [[-1, 4]], [[-1, 16]]]}
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id: 7283616
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 476, 'counter': 57, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '476.1', 'group_counter': 1, 'group_order': 476, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.a1.a1', 'kernel_order': 7, 'label': '476.1.1f21', 'nt': [68, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 17]], [[1, 17]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 22]], [[1, 24]], [[-1, 26]], [[-1, 18]], [[-1, 30]], [[1, 28]], [[1, 20]], [[-1, 6]], [[1, 4]], [[-1, 14]], [[-1, 2]], [[1, 32]], [[1, 12]], [[-1, 10]], [[1, 8]], [[1, 16]], [[1, 10]], [[1, 18]], [[-1, 8]], [[-1, 28]], [[-1, 4]], [[-1, 24]], [[1, 14]], [[1, 22]], [[-1, 32]], [[1, 30]], [[1, 6]], [[1, 26]], [[-1, 16]], [[-1, 12]], [[1, 2]], [[-1, 20]], [[-1, 25]], [[1, 9]], [[1, 25]], [[-1, 33]], [[-1, 29]], [[1, 21]], [[1, 13]], [[-1, 21]], [[1, 7]], [[1, 33]], [[1, 1]], [[-1, 9]], [[1, 19]], [[-1, 11]], [[-1, 23]], [[-1, 3]], [[1, 11]], [[-1, 31]], [[-1, 5]], [[1, 23]], [[-1, 15]], [[-1, 19]], [[1, 27]], [[-1, 1]], [[-1, 27]], [[-1, 7]], [[1, 15]], [[-1, 13]], [[1, 5]], [[1, 29]], [[1, 3]], [[1, 31]], [[1, 12]], [[-1, 14]], [[1, 4]], [[-1, 10]], [[-1, 18]], [[1, 28]], [[-1, 26]], [[1, 28]], [[-1, 26]], [[-1, 2]], [[-1, 26]], [[-1, 14]], [[-1, 30]], [[1, 24]], [[1, 8]], [[1, 8]], [[-1, 22]], [[1, 4]], [[-1, 10]], [[1, 28]], [[-1, 6]], [[1, 16]], [[-1, 6]], [[1, 12]], [[1, 32]], [[1, 32]], [[1, 4]], [[-1, 30]], [[-1, 18]], [[1, 12]], [[1, 20]], [[1, 24]], [[1, 20]], [[1, 32]], [[1, 24]], [[1, 16]], [[-1, 2]], [[-1, 6]], [[-1, 18]], [[1, 16]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[-1, 22]], [[1, 20]], [[-1, 22]], [[-1, 30]], [[-1, 14]], [[1, 30]], [[1, 22]], [[1, 6]], [[-1, 24]], [[-1, 16]], [[-1, 32]], [[-1, 16]], [[-1, 4]], [[1, 18]], [[-1, 20]], [[-1, 12]], [[1, 2]], [[-1, 4]], [[-1, 24]], [[1, 2]], [[-1, 20]], [[1, 26]], [[-1, 32]], [[-1, 28]], [[1, 14]], [[1, 18]], [[1, 30]], [[1, 26]], [[1, 14]], [[1, 6]], [[1, 10]], [[-1, 32]], [[-1, 28]], [[1, 10]], [[1, 30]], [[1, 14]], [[-1, 4]], [[1, 26]], [[-1, 8]], [[-1, 8]], [[-1, 12]], [[1, 22]], [[1, 22]], [[1, 6]], [[1, 18]], [[-1, 28]], [[1, 10]], [[-1, 24]], [[1, 2]], [[-1, 16]], [[-1, 8]], [[-1, 20]], [[-1, 12]]]}
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id: 7283617
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 476, 'counter': 58, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '476.1', 'group_counter': 1, 'group_order': 476, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.a1.a1', 'kernel_order': 7, 'label': '476.1.1f22', 'nt': [68, 32], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 17]], [[-1, 17]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 12]], [[-1, 10]], [[1, 8]], [[1, 16]], [[1, 4]], [[-1, 6]], [[-1, 14]], [[1, 28]], [[-1, 30]], [[1, 20]], [[1, 32]], [[-1, 2]], [[-1, 22]], [[1, 24]], [[-1, 26]], [[-1, 18]], [[-1, 24]], [[-1, 16]], [[1, 26]], [[1, 6]], [[1, 30]], [[1, 10]], [[-1, 20]], [[-1, 12]], [[1, 2]], [[-1, 4]], [[-1, 28]], [[-1, 8]], [[1, 18]], [[1, 22]], [[-1, 32]], [[1, 14]], [[1, 9]], [[-1, 25]], [[-1, 9]], [[1, 1]], [[1, 5]], [[-1, 13]], [[-1, 21]], [[1, 13]], [[-1, 27]], [[-1, 1]], [[-1, 33]], [[1, 25]], [[-1, 15]], [[1, 23]], [[1, 11]], [[1, 31]], [[-1, 23]], [[1, 3]], [[1, 29]], [[-1, 11]], [[1, 19]], [[1, 15]], [[-1, 7]], [[1, 33]], [[1, 7]], [[1, 27]], [[-1, 19]], [[1, 21]], [[-1, 29]], [[-1, 5]], [[-1, 31]], [[-1, 3]], [[-1, 22]], [[1, 20]], [[-1, 30]], [[1, 24]], [[1, 16]], [[-1, 6]], [[1, 8]], [[-1, 6]], [[1, 8]], [[1, 32]], [[1, 8]], [[1, 20]], [[1, 4]], [[-1, 10]], [[-1, 26]], [[-1, 26]], [[1, 12]], [[-1, 30]], [[1, 24]], [[-1, 6]], [[1, 28]], [[-1, 18]], [[1, 28]], [[-1, 22]], [[-1, 2]], [[-1, 2]], [[-1, 30]], [[1, 4]], [[1, 16]], [[-1, 22]], [[-1, 14]], [[-1, 10]], [[-1, 14]], [[-1, 2]], [[-1, 10]], [[-1, 18]], [[1, 32]], [[1, 28]], [[1, 16]], [[-1, 18]], [[1, 24]], [[1, 32]], [[-1, 26]], [[1, 12]], [[-1, 14]], [[1, 12]], [[1, 4]], [[1, 20]], [[-1, 4]], [[-1, 12]], [[-1, 28]], [[1, 10]], [[1, 18]], [[1, 2]], [[1, 18]], [[1, 30]], [[-1, 16]], [[1, 14]], [[1, 22]], [[-1, 32]], [[1, 30]], [[1, 10]], [[-1, 32]], [[1, 14]], [[-1, 8]], [[1, 2]], [[1, 6]], [[-1, 20]], [[-1, 16]], [[-1, 4]], [[-1, 8]], [[-1, 20]], [[-1, 28]], [[-1, 24]], [[1, 2]], [[1, 6]], [[-1, 24]], [[-1, 4]], [[-1, 20]], [[1, 30]], [[-1, 8]], [[1, 26]], [[1, 26]], [[1, 22]], [[-1, 12]], [[-1, 12]], [[-1, 28]], [[-1, 16]], [[1, 6]], [[-1, 24]], [[1, 10]], [[-1, 32]], [[1, 18]], [[1, 26]], [[1, 14]], [[1, 22]]]}
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id: 7283618
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 476, 'counter': 59, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '476.1', 'group_counter': 1, 'group_order': 476, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.a1.a1', 'kernel_order': 7, 'label': '476.1.1f23', 'nt': [68, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 17]], [[1, 17]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 12]], [[-1, 10]], [[1, 8]], [[1, 16]], [[1, 4]], [[-1, 6]], [[-1, 14]], [[1, 28]], [[-1, 30]], [[1, 20]], [[1, 32]], [[-1, 2]], [[-1, 22]], [[1, 24]], [[-1, 26]], [[-1, 18]], [[-1, 24]], [[-1, 16]], [[1, 26]], [[1, 6]], [[1, 30]], [[1, 10]], [[-1, 20]], [[-1, 12]], [[1, 2]], [[-1, 4]], [[-1, 28]], [[-1, 8]], [[1, 18]], [[1, 22]], [[-1, 32]], [[1, 14]], [[-1, 9]], [[1, 25]], [[1, 9]], [[-1, 1]], [[-1, 5]], [[1, 13]], [[1, 21]], [[-1, 13]], [[1, 27]], [[1, 1]], [[1, 33]], [[-1, 25]], [[1, 15]], [[-1, 23]], [[-1, 11]], [[-1, 31]], [[1, 23]], [[-1, 3]], [[-1, 29]], [[1, 11]], [[-1, 19]], [[-1, 15]], [[1, 7]], [[-1, 33]], [[-1, 7]], [[-1, 27]], [[1, 19]], [[-1, 21]], [[1, 29]], [[1, 5]], [[1, 31]], [[1, 3]], [[-1, 22]], [[1, 20]], [[-1, 30]], [[1, 24]], [[1, 16]], [[-1, 6]], [[1, 8]], [[-1, 6]], [[1, 8]], [[1, 32]], [[1, 8]], [[1, 20]], [[1, 4]], [[-1, 10]], [[-1, 26]], [[-1, 26]], [[1, 12]], [[-1, 30]], [[1, 24]], [[-1, 6]], [[1, 28]], [[-1, 18]], [[1, 28]], [[-1, 22]], [[-1, 2]], [[-1, 2]], [[-1, 30]], [[1, 4]], [[1, 16]], [[-1, 22]], [[-1, 14]], [[-1, 10]], [[-1, 14]], [[-1, 2]], [[-1, 10]], [[-1, 18]], [[1, 32]], [[1, 28]], [[1, 16]], [[-1, 18]], [[1, 24]], [[1, 32]], [[-1, 26]], [[1, 12]], [[-1, 14]], [[1, 12]], [[1, 4]], [[1, 20]], [[-1, 4]], [[-1, 12]], [[-1, 28]], [[1, 10]], [[1, 18]], [[1, 2]], [[1, 18]], [[1, 30]], [[-1, 16]], [[1, 14]], [[1, 22]], [[-1, 32]], [[1, 30]], [[1, 10]], [[-1, 32]], [[1, 14]], [[-1, 8]], [[1, 2]], [[1, 6]], [[-1, 20]], [[-1, 16]], [[-1, 4]], [[-1, 8]], [[-1, 20]], [[-1, 28]], [[-1, 24]], [[1, 2]], [[1, 6]], [[-1, 24]], [[-1, 4]], [[-1, 20]], [[1, 30]], [[-1, 8]], [[1, 26]], [[1, 26]], [[1, 22]], [[-1, 12]], [[-1, 12]], [[-1, 28]], [[-1, 16]], [[1, 6]], [[-1, 24]], [[1, 10]], [[-1, 32]], [[1, 18]], [[1, 26]], [[1, 14]], [[1, 22]]]}
-
id: 7283620
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 476, 'counter': 60, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '476.1', 'group_counter': 1, 'group_order': 476, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.a1.a1', 'kernel_order': 7, 'label': '476.1.1f24', 'nt': [68, 32], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 17]], [[-1, 17]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 22]], [[1, 24]], [[-1, 26]], [[-1, 18]], [[-1, 30]], [[1, 28]], [[1, 20]], [[-1, 6]], [[1, 4]], [[-1, 14]], [[-1, 2]], [[1, 32]], [[1, 12]], [[-1, 10]], [[1, 8]], [[1, 16]], [[1, 10]], [[1, 18]], [[-1, 8]], [[-1, 28]], [[-1, 4]], [[-1, 24]], [[1, 14]], [[1, 22]], [[-1, 32]], [[1, 30]], [[1, 6]], [[1, 26]], [[-1, 16]], [[-1, 12]], [[1, 2]], [[-1, 20]], [[1, 25]], [[-1, 9]], [[-1, 25]], [[1, 33]], [[1, 29]], [[-1, 21]], [[-1, 13]], [[1, 21]], [[-1, 7]], [[-1, 33]], [[-1, 1]], [[1, 9]], [[-1, 19]], [[1, 11]], [[1, 23]], [[1, 3]], [[-1, 11]], [[1, 31]], [[1, 5]], [[-1, 23]], [[1, 15]], [[1, 19]], [[-1, 27]], [[1, 1]], [[1, 27]], [[1, 7]], [[-1, 15]], [[1, 13]], [[-1, 5]], [[-1, 29]], [[-1, 3]], [[-1, 31]], [[1, 12]], [[-1, 14]], [[1, 4]], [[-1, 10]], [[-1, 18]], [[1, 28]], [[-1, 26]], [[1, 28]], [[-1, 26]], [[-1, 2]], [[-1, 26]], [[-1, 14]], [[-1, 30]], [[1, 24]], [[1, 8]], [[1, 8]], [[-1, 22]], [[1, 4]], [[-1, 10]], [[1, 28]], [[-1, 6]], [[1, 16]], [[-1, 6]], [[1, 12]], [[1, 32]], [[1, 32]], [[1, 4]], [[-1, 30]], [[-1, 18]], [[1, 12]], [[1, 20]], [[1, 24]], [[1, 20]], [[1, 32]], [[1, 24]], [[1, 16]], [[-1, 2]], [[-1, 6]], [[-1, 18]], [[1, 16]], [[-1, 10]], [[-1, 2]], [[1, 8]], [[-1, 22]], [[1, 20]], [[-1, 22]], [[-1, 30]], [[-1, 14]], [[1, 30]], [[1, 22]], [[1, 6]], [[-1, 24]], [[-1, 16]], [[-1, 32]], [[-1, 16]], [[-1, 4]], [[1, 18]], [[-1, 20]], [[-1, 12]], [[1, 2]], [[-1, 4]], [[-1, 24]], [[1, 2]], [[-1, 20]], [[1, 26]], [[-1, 32]], [[-1, 28]], [[1, 14]], [[1, 18]], [[1, 30]], [[1, 26]], [[1, 14]], [[1, 6]], [[1, 10]], [[-1, 32]], [[-1, 28]], [[1, 10]], [[1, 30]], [[1, 14]], [[-1, 4]], [[1, 26]], [[-1, 8]], [[-1, 8]], [[-1, 12]], [[1, 22]], [[1, 22]], [[1, 6]], [[1, 18]], [[-1, 28]], [[1, 10]], [[-1, 24]], [[1, 2]], [[-1, 16]], [[-1, 8]], [[-1, 20]], [[-1, 12]]]}
-
id: 7283621
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 476, 'counter': 61, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '476.1', 'group_counter': 1, 'group_order': 476, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.a1.a1', 'kernel_order': 7, 'label': '476.1.1f25', 'nt': [68, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 17]], [[1, 17]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 26]], [[1, 16]], [[-1, 6]], [[1, 12]], [[1, 20]], [[-1, 30]], [[-1, 2]], [[1, 4]], [[-1, 14]], [[1, 32]], [[1, 24]], [[-1, 10]], [[1, 8]], [[-1, 18]], [[1, 28]], [[-1, 22]], [[1, 18]], [[-1, 12]], [[-1, 28]], [[1, 30]], [[1, 14]], [[-1, 16]], [[-1, 32]], [[1, 26]], [[1, 10]], [[-1, 20]], [[-1, 4]], [[1, 6]], [[1, 22]], [[-1, 8]], [[-1, 24]], [[1, 2]], [[1, 11]], [[-1, 23]], [[-1, 11]], [[-1, 5]], [[-1, 25]], [[-1, 31]], [[-1, 3]], [[1, 31]], [[-1, 33]], [[1, 5]], [[1, 29]], [[1, 23]], [[1, 7]], [[1, 13]], [[1, 21]], [[-1, 19]], [[-1, 13]], [[-1, 15]], [[-1, 9]], [[-1, 21]], [[-1, 27]], [[-1, 7]], [[-1, 1]], [[-1, 29]], [[1, 1]], [[1, 33]], [[1, 27]], [[1, 3]], [[1, 9]], [[1, 25]], [[1, 19]], [[1, 15]], [[1, 8]], [[1, 32]], [[-1, 14]], [[-1, 18]], [[1, 12]], [[-1, 30]], [[-1, 6]], [[-1, 30]], [[-1, 6]], [[1, 24]], [[-1, 6]], [[1, 32]], [[1, 20]], [[1, 16]], [[1, 28]], [[1, 28]], [[-1, 26]], [[-1, 14]], [[-1, 18]], [[-1, 30]], [[1, 4]], [[-1, 22]], [[1, 4]], [[1, 8]], [[-1, 10]], [[-1, 10]], [[-1, 14]], [[1, 20]], [[1, 12]], [[1, 8]], [[-1, 2]], [[1, 16]], [[-1, 2]], [[-1, 10]], [[1, 16]], [[-1, 22]], [[1, 24]], [[1, 4]], [[1, 12]], [[-1, 22]], [[-1, 18]], [[1, 24]], [[1, 28]], [[-1, 26]], [[-1, 2]], [[-1, 26]], [[1, 20]], [[1, 32]], [[-1, 20]], [[1, 26]], [[-1, 4]], [[-1, 16]], [[1, 22]], [[1, 10]], [[1, 22]], [[1, 14]], [[-1, 12]], [[1, 2]], [[-1, 8]], [[-1, 24]], [[1, 14]], [[-1, 16]], [[-1, 24]], [[1, 2]], [[1, 6]], [[1, 10]], [[1, 30]], [[-1, 32]], [[-1, 12]], [[-1, 20]], [[1, 6]], [[-1, 32]], [[-1, 4]], [[1, 18]], [[1, 10]], [[1, 30]], [[1, 18]], [[-1, 20]], [[-1, 32]], [[1, 14]], [[1, 6]], [[-1, 28]], [[-1, 28]], [[-1, 8]], [[1, 26]], [[1, 26]], [[-1, 4]], [[-1, 12]], [[1, 30]], [[1, 18]], [[-1, 16]], [[-1, 24]], [[1, 22]], [[-1, 28]], [[1, 2]], [[-1, 8]]]}
-
id: 7283622
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 476, 'counter': 62, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '476.1', 'group_counter': 1, 'group_order': 476, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.a1.a1', 'kernel_order': 7, 'label': '476.1.1f26', 'nt': [68, 32], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 17]], [[-1, 17]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 8]], [[-1, 18]], [[1, 28]], [[-1, 22]], [[-1, 14]], [[1, 4]], [[1, 32]], [[-1, 30]], [[1, 20]], [[-1, 2]], [[-1, 10]], [[1, 24]], [[-1, 26]], [[1, 16]], [[-1, 6]], [[1, 12]], [[-1, 16]], [[1, 22]], [[1, 6]], [[-1, 4]], [[-1, 20]], [[1, 18]], [[1, 2]], [[-1, 8]], [[-1, 24]], [[1, 14]], [[1, 30]], [[-1, 28]], [[-1, 12]], [[1, 26]], [[1, 10]], [[-1, 32]], [[-1, 23]], [[1, 11]], [[1, 23]], [[1, 29]], [[1, 9]], [[1, 3]], [[1, 31]], [[-1, 3]], [[1, 1]], [[-1, 29]], [[-1, 5]], [[-1, 11]], [[-1, 27]], [[-1, 21]], [[-1, 13]], [[1, 15]], [[1, 21]], [[1, 19]], [[1, 25]], [[1, 13]], [[1, 7]], [[1, 27]], [[1, 33]], [[1, 5]], [[-1, 33]], [[-1, 1]], [[-1, 7]], [[-1, 31]], [[-1, 25]], [[-1, 9]], [[-1, 15]], [[-1, 19]], [[-1, 26]], [[-1, 2]], [[1, 20]], [[1, 16]], [[-1, 22]], [[1, 4]], [[1, 28]], [[1, 4]], [[1, 28]], [[-1, 10]], [[1, 28]], [[-1, 2]], [[-1, 14]], [[-1, 18]], [[-1, 6]], [[-1, 6]], [[1, 8]], [[1, 20]], [[1, 16]], [[1, 4]], [[-1, 30]], [[1, 12]], [[-1, 30]], [[-1, 26]], [[1, 24]], [[1, 24]], [[1, 20]], [[-1, 14]], [[-1, 22]], [[-1, 26]], [[1, 32]], [[-1, 18]], [[1, 32]], [[1, 24]], [[-1, 18]], [[1, 12]], [[-1, 10]], [[-1, 30]], [[-1, 22]], [[1, 12]], [[1, 16]], [[-1, 10]], [[-1, 6]], [[1, 8]], [[1, 32]], [[1, 8]], [[-1, 14]], [[-1, 2]], [[1, 14]], [[-1, 8]], [[1, 30]], [[1, 18]], [[-1, 12]], [[-1, 24]], [[-1, 12]], [[-1, 20]], [[1, 22]], [[-1, 32]], [[1, 26]], [[1, 10]], [[-1, 20]], [[1, 18]], [[1, 10]], [[-1, 32]], [[-1, 28]], [[-1, 24]], [[-1, 4]], [[1, 2]], [[1, 22]], [[1, 14]], [[-1, 28]], [[1, 2]], [[1, 30]], [[-1, 16]], [[-1, 24]], [[-1, 4]], [[-1, 16]], [[1, 14]], [[1, 2]], [[-1, 20]], [[-1, 28]], [[1, 6]], [[1, 6]], [[1, 26]], [[-1, 8]], [[-1, 8]], [[1, 30]], [[1, 22]], [[-1, 4]], [[-1, 16]], [[1, 18]], [[1, 10]], [[-1, 12]], [[1, 6]], [[-1, 32]], [[1, 26]]]}
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id: 7283623
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 476, 'counter': 63, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '476.1', 'group_counter': 1, 'group_order': 476, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.a1.a1', 'kernel_order': 7, 'label': '476.1.1f27', 'nt': [68, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 17]], [[1, 17]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 8]], [[-1, 18]], [[1, 28]], [[-1, 22]], [[-1, 14]], [[1, 4]], [[1, 32]], [[-1, 30]], [[1, 20]], [[-1, 2]], [[-1, 10]], [[1, 24]], [[-1, 26]], [[1, 16]], [[-1, 6]], [[1, 12]], [[-1, 16]], [[1, 22]], [[1, 6]], [[-1, 4]], [[-1, 20]], [[1, 18]], [[1, 2]], [[-1, 8]], [[-1, 24]], [[1, 14]], [[1, 30]], [[-1, 28]], [[-1, 12]], [[1, 26]], [[1, 10]], [[-1, 32]], [[1, 23]], [[-1, 11]], [[-1, 23]], [[-1, 29]], [[-1, 9]], [[-1, 3]], [[-1, 31]], [[1, 3]], [[-1, 1]], [[1, 29]], [[1, 5]], [[1, 11]], [[1, 27]], [[1, 21]], [[1, 13]], [[-1, 15]], [[-1, 21]], [[-1, 19]], [[-1, 25]], [[-1, 13]], [[-1, 7]], [[-1, 27]], [[-1, 33]], [[-1, 5]], [[1, 33]], [[1, 1]], [[1, 7]], [[1, 31]], [[1, 25]], [[1, 9]], [[1, 15]], [[1, 19]], [[-1, 26]], [[-1, 2]], [[1, 20]], [[1, 16]], [[-1, 22]], [[1, 4]], [[1, 28]], [[1, 4]], [[1, 28]], [[-1, 10]], [[1, 28]], [[-1, 2]], [[-1, 14]], [[-1, 18]], [[-1, 6]], [[-1, 6]], [[1, 8]], [[1, 20]], [[1, 16]], [[1, 4]], [[-1, 30]], [[1, 12]], [[-1, 30]], [[-1, 26]], [[1, 24]], [[1, 24]], [[1, 20]], [[-1, 14]], [[-1, 22]], [[-1, 26]], [[1, 32]], [[-1, 18]], [[1, 32]], [[1, 24]], [[-1, 18]], [[1, 12]], [[-1, 10]], [[-1, 30]], [[-1, 22]], [[1, 12]], [[1, 16]], [[-1, 10]], [[-1, 6]], [[1, 8]], [[1, 32]], [[1, 8]], [[-1, 14]], [[-1, 2]], [[1, 14]], [[-1, 8]], [[1, 30]], [[1, 18]], [[-1, 12]], [[-1, 24]], [[-1, 12]], [[-1, 20]], [[1, 22]], [[-1, 32]], [[1, 26]], [[1, 10]], [[-1, 20]], [[1, 18]], [[1, 10]], [[-1, 32]], [[-1, 28]], [[-1, 24]], [[-1, 4]], [[1, 2]], [[1, 22]], [[1, 14]], [[-1, 28]], [[1, 2]], [[1, 30]], [[-1, 16]], [[-1, 24]], [[-1, 4]], [[-1, 16]], [[1, 14]], [[1, 2]], [[-1, 20]], [[-1, 28]], [[1, 6]], [[1, 6]], [[1, 26]], [[-1, 8]], [[-1, 8]], [[1, 30]], [[1, 22]], [[-1, 4]], [[-1, 16]], [[1, 18]], [[1, 10]], [[-1, 12]], [[1, 6]], [[-1, 32]], [[1, 26]]]}
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id: 7283624
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 476, 'counter': 64, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '476.1', 'group_counter': 1, 'group_order': 476, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.a1.a1', 'kernel_order': 7, 'label': '476.1.1f28', 'nt': [68, 32], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 17]], [[-1, 17]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 26]], [[1, 16]], [[-1, 6]], [[1, 12]], [[1, 20]], [[-1, 30]], [[-1, 2]], [[1, 4]], [[-1, 14]], [[1, 32]], [[1, 24]], [[-1, 10]], [[1, 8]], [[-1, 18]], [[1, 28]], [[-1, 22]], [[1, 18]], [[-1, 12]], [[-1, 28]], [[1, 30]], [[1, 14]], [[-1, 16]], [[-1, 32]], [[1, 26]], [[1, 10]], [[-1, 20]], [[-1, 4]], [[1, 6]], [[1, 22]], [[-1, 8]], [[-1, 24]], [[1, 2]], [[-1, 11]], [[1, 23]], [[1, 11]], [[1, 5]], [[1, 25]], [[1, 31]], [[1, 3]], [[-1, 31]], [[1, 33]], [[-1, 5]], [[-1, 29]], [[-1, 23]], [[-1, 7]], [[-1, 13]], [[-1, 21]], [[1, 19]], [[1, 13]], [[1, 15]], [[1, 9]], [[1, 21]], [[1, 27]], [[1, 7]], [[1, 1]], [[1, 29]], [[-1, 1]], [[-1, 33]], [[-1, 27]], [[-1, 3]], [[-1, 9]], [[-1, 25]], [[-1, 19]], [[-1, 15]], [[1, 8]], [[1, 32]], [[-1, 14]], [[-1, 18]], [[1, 12]], [[-1, 30]], [[-1, 6]], [[-1, 30]], [[-1, 6]], [[1, 24]], [[-1, 6]], [[1, 32]], [[1, 20]], [[1, 16]], [[1, 28]], [[1, 28]], [[-1, 26]], [[-1, 14]], [[-1, 18]], [[-1, 30]], [[1, 4]], [[-1, 22]], [[1, 4]], [[1, 8]], [[-1, 10]], [[-1, 10]], [[-1, 14]], [[1, 20]], [[1, 12]], [[1, 8]], [[-1, 2]], [[1, 16]], [[-1, 2]], [[-1, 10]], [[1, 16]], [[-1, 22]], [[1, 24]], [[1, 4]], [[1, 12]], [[-1, 22]], [[-1, 18]], [[1, 24]], [[1, 28]], [[-1, 26]], [[-1, 2]], [[-1, 26]], [[1, 20]], [[1, 32]], [[-1, 20]], [[1, 26]], [[-1, 4]], [[-1, 16]], [[1, 22]], [[1, 10]], [[1, 22]], [[1, 14]], [[-1, 12]], [[1, 2]], [[-1, 8]], [[-1, 24]], [[1, 14]], [[-1, 16]], [[-1, 24]], [[1, 2]], [[1, 6]], [[1, 10]], [[1, 30]], [[-1, 32]], [[-1, 12]], [[-1, 20]], [[1, 6]], [[-1, 32]], [[-1, 4]], [[1, 18]], [[1, 10]], [[1, 30]], [[1, 18]], [[-1, 20]], [[-1, 32]], [[1, 14]], [[1, 6]], [[-1, 28]], [[-1, 28]], [[-1, 8]], [[1, 26]], [[1, 26]], [[-1, 4]], [[-1, 12]], [[1, 30]], [[1, 18]], [[-1, 16]], [[-1, 24]], [[1, 22]], [[-1, 28]], [[1, 2]], [[-1, 8]]]}
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id: 7283625
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 476, 'counter': 65, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '476.1', 'group_counter': 1, 'group_order': 476, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.a1.a1', 'kernel_order': 7, 'label': '476.1.1f29', 'nt': [68, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 17]], [[1, 17]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 30]], [[1, 8]], [[1, 20]], [[-1, 6]], [[-1, 10]], [[1, 32]], [[-1, 18]], [[-1, 2]], [[1, 24]], [[1, 16]], [[1, 12]], [[-1, 22]], [[1, 4]], [[-1, 26]], [[-1, 14]], [[1, 28]], [[1, 26]], [[1, 6]], [[1, 14]], [[-1, 32]], [[-1, 24]], [[-1, 8]], [[-1, 16]], [[1, 30]], [[1, 22]], [[1, 10]], [[1, 2]], [[-1, 20]], [[-1, 28]], [[-1, 4]], [[-1, 12]], [[1, 18]], [[1, 31]], [[-1, 3]], [[-1, 31]], [[1, 11]], [[-1, 21]], [[-1, 7]], [[-1, 27]], [[1, 7]], [[-1, 25]], [[-1, 11]], [[-1, 23]], [[1, 3]], [[-1, 29]], [[-1, 15]], [[-1, 19]], [[1, 1]], [[1, 15]], [[1, 33]], [[-1, 13]], [[1, 19]], [[1, 5]], [[1, 29]], [[-1, 9]], [[1, 23]], [[1, 9]], [[1, 25]], [[-1, 5]], [[1, 27]], [[1, 13]], [[1, 21]], [[-1, 1]], [[-1, 33]], [[1, 4]], [[1, 16]], [[1, 24]], [[-1, 26]], [[-1, 6]], [[1, 32]], [[1, 20]], [[1, 32]], [[1, 20]], [[1, 12]], [[1, 20]], [[1, 16]], [[-1, 10]], [[1, 8]], [[-1, 14]], [[-1, 14]], [[-1, 30]], [[1, 24]], [[-1, 26]], [[1, 32]], [[-1, 2]], [[1, 28]], [[-1, 2]], [[1, 4]], [[-1, 22]], [[-1, 22]], [[1, 24]], [[-1, 10]], [[-1, 6]], [[1, 4]], [[-1, 18]], [[1, 8]], [[-1, 18]], [[-1, 22]], [[1, 8]], [[1, 28]], [[1, 12]], [[-1, 2]], [[-1, 6]], [[1, 28]], [[-1, 26]], [[1, 12]], [[-1, 14]], [[-1, 30]], [[-1, 18]], [[-1, 30]], [[-1, 10]], [[1, 16]], [[1, 10]], [[1, 30]], [[1, 2]], [[-1, 8]], [[-1, 28]], [[1, 22]], [[-1, 28]], [[-1, 24]], [[1, 6]], [[1, 18]], [[-1, 4]], [[-1, 12]], [[-1, 24]], [[-1, 8]], [[-1, 12]], [[1, 18]], [[-1, 20]], [[1, 22]], [[-1, 32]], [[-1, 16]], [[1, 6]], [[1, 10]], [[-1, 20]], [[-1, 16]], [[1, 2]], [[1, 26]], [[1, 22]], [[-1, 32]], [[1, 26]], [[1, 10]], [[-1, 16]], [[-1, 24]], [[-1, 20]], [[1, 14]], [[1, 14]], [[-1, 4]], [[1, 30]], [[1, 30]], [[1, 2]], [[1, 6]], [[-1, 32]], [[1, 26]], [[-1, 8]], [[-1, 12]], [[-1, 28]], [[1, 14]], [[1, 18]], [[-1, 4]]]}
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id: 7283596
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 476, 'counter': 39, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '476.1', 'group_counter': 1, 'group_order': 476, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.a1.a1', 'kernel_order': 7, 'label': '476.1.1f3', 'nt': [68, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 17]], [[1, 17]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 32]], [[1, 4]], [[-1, 10]], [[1, 20]], [[-1, 22]], [[1, 16]], [[-1, 26]], [[-1, 18]], [[1, 12]], [[1, 8]], [[-1, 6]], [[1, 28]], [[-1, 2]], [[-1, 30]], [[1, 24]], [[-1, 14]], [[1, 30]], [[-1, 20]], [[-1, 24]], [[-1, 16]], [[-1, 12]], [[-1, 4]], [[-1, 8]], [[-1, 32]], [[-1, 28]], [[1, 22]], [[1, 18]], [[1, 10]], [[1, 14]], [[1, 2]], [[1, 6]], [[1, 26]], [[1, 7]], [[-1, 27]], [[-1, 7]], [[1, 31]], [[1, 19]], [[1, 29]], [[1, 5]], [[-1, 29]], [[-1, 21]], [[-1, 31]], [[-1, 3]], [[1, 27]], [[1, 23]], [[1, 33]], [[1, 1]], [[1, 9]], [[-1, 33]], [[1, 25]], [[1, 15]], [[-1, 1]], [[-1, 11]], [[-1, 23]], [[-1, 13]], [[1, 3]], [[1, 13]], [[1, 21]], [[1, 11]], [[-1, 5]], [[-1, 15]], [[-1, 19]], [[-1, 9]], [[-1, 25]], [[-1, 2]], [[1, 8]], [[1, 12]], [[-1, 30]], [[1, 20]], [[1, 16]], [[-1, 10]], [[1, 16]], [[-1, 10]], [[-1, 6]], [[-1, 10]], [[1, 8]], [[-1, 22]], [[1, 4]], [[1, 24]], [[1, 24]], [[1, 32]], [[1, 12]], [[-1, 30]], [[1, 16]], [[-1, 18]], [[-1, 14]], [[-1, 18]], [[-1, 2]], [[1, 28]], [[1, 28]], [[1, 12]], [[-1, 22]], [[1, 20]], [[-1, 2]], [[-1, 26]], [[1, 4]], [[-1, 26]], [[1, 28]], [[1, 4]], [[-1, 14]], [[-1, 6]], [[-1, 18]], [[1, 20]], [[-1, 14]], [[-1, 30]], [[-1, 6]], [[1, 24]], [[1, 32]], [[-1, 26]], [[1, 32]], [[-1, 22]], [[1, 8]], [[1, 22]], [[-1, 32]], [[1, 18]], [[-1, 4]], [[1, 14]], [[-1, 28]], [[1, 14]], [[-1, 12]], [[-1, 20]], [[1, 26]], [[1, 2]], [[1, 6]], [[-1, 12]], [[-1, 4]], [[1, 6]], [[1, 26]], [[1, 10]], [[-1, 28]], [[-1, 16]], [[-1, 8]], [[-1, 20]], [[1, 22]], [[1, 10]], [[-1, 8]], [[1, 18]], [[1, 30]], [[-1, 28]], [[-1, 16]], [[1, 30]], [[1, 22]], [[-1, 8]], [[-1, 12]], [[1, 10]], [[-1, 24]], [[-1, 24]], [[1, 2]], [[-1, 32]], [[-1, 32]], [[1, 18]], [[-1, 20]], [[-1, 16]], [[1, 30]], [[-1, 4]], [[1, 6]], [[1, 14]], [[-1, 24]], [[1, 26]], [[1, 2]]]}
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id: 7283626
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 476, 'counter': 66, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '476.1', 'group_counter': 1, 'group_order': 476, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.a1.a1', 'kernel_order': 7, 'label': '476.1.1f30', 'nt': [68, 32], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 17]], [[-1, 17]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 26]], [[-1, 14]], [[1, 28]], [[1, 24]], [[-1, 2]], [[1, 16]], [[1, 32]], [[-1, 10]], [[-1, 18]], [[-1, 22]], [[1, 12]], [[-1, 30]], [[1, 8]], [[1, 20]], [[-1, 6]], [[-1, 8]], [[-1, 28]], [[-1, 20]], [[1, 2]], [[1, 10]], [[1, 26]], [[1, 18]], [[-1, 4]], [[-1, 12]], [[-1, 24]], [[-1, 32]], [[1, 14]], [[1, 6]], [[1, 30]], [[1, 22]], [[-1, 16]], [[-1, 3]], [[1, 31]], [[1, 3]], [[-1, 23]], [[1, 13]], [[1, 27]], [[1, 7]], [[-1, 27]], [[1, 9]], [[1, 23]], [[1, 11]], [[-1, 31]], [[1, 5]], [[1, 19]], [[1, 15]], [[-1, 33]], [[-1, 19]], [[-1, 1]], [[1, 21]], [[-1, 15]], [[-1, 29]], [[-1, 5]], [[1, 25]], [[-1, 11]], [[-1, 25]], [[-1, 9]], [[1, 29]], [[-1, 7]], [[-1, 21]], [[-1, 13]], [[1, 33]], [[1, 1]], [[-1, 30]], [[-1, 18]], [[-1, 10]], [[1, 8]], [[1, 28]], [[-1, 2]], [[-1, 14]], [[-1, 2]], [[-1, 14]], [[-1, 22]], [[-1, 14]], [[-1, 18]], [[1, 24]], [[-1, 26]], [[1, 20]], [[1, 20]], [[1, 4]], [[-1, 10]], [[1, 8]], [[-1, 2]], [[1, 32]], [[-1, 6]], [[1, 32]], [[-1, 30]], [[1, 12]], [[1, 12]], [[-1, 10]], [[1, 24]], [[1, 28]], [[-1, 30]], [[1, 16]], [[-1, 26]], [[1, 16]], [[1, 12]], [[-1, 26]], [[-1, 6]], [[-1, 22]], [[1, 32]], [[1, 28]], [[-1, 6]], [[1, 8]], [[-1, 22]], [[1, 20]], [[1, 4]], [[1, 16]], [[1, 4]], [[1, 24]], [[-1, 18]], [[-1, 24]], [[-1, 4]], [[-1, 32]], [[1, 26]], [[1, 6]], [[-1, 12]], [[1, 6]], [[1, 10]], [[-1, 28]], [[-1, 16]], [[1, 30]], [[1, 22]], [[1, 10]], [[1, 26]], [[1, 22]], [[-1, 16]], [[1, 14]], [[-1, 12]], [[1, 2]], [[1, 18]], [[-1, 28]], [[-1, 24]], [[1, 14]], [[1, 18]], [[-1, 32]], [[-1, 8]], [[-1, 12]], [[1, 2]], [[-1, 8]], [[-1, 24]], [[1, 18]], [[1, 10]], [[1, 14]], [[-1, 20]], [[-1, 20]], [[1, 30]], [[-1, 4]], [[-1, 4]], [[-1, 32]], [[-1, 28]], [[1, 2]], [[-1, 8]], [[1, 26]], [[1, 22]], [[1, 6]], [[-1, 20]], [[-1, 16]], [[1, 30]]]}
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id: 7283627
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 476, 'counter': 67, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '476.1', 'group_counter': 1, 'group_order': 476, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.a1.a1', 'kernel_order': 7, 'label': '476.1.1f31', 'nt': [68, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 17]], [[1, 17]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 26]], [[-1, 14]], [[1, 28]], [[1, 24]], [[-1, 2]], [[1, 16]], [[1, 32]], [[-1, 10]], [[-1, 18]], [[-1, 22]], [[1, 12]], [[-1, 30]], [[1, 8]], [[1, 20]], [[-1, 6]], [[-1, 8]], [[-1, 28]], [[-1, 20]], [[1, 2]], [[1, 10]], [[1, 26]], [[1, 18]], [[-1, 4]], [[-1, 12]], [[-1, 24]], [[-1, 32]], [[1, 14]], [[1, 6]], [[1, 30]], [[1, 22]], [[-1, 16]], [[1, 3]], [[-1, 31]], [[-1, 3]], [[1, 23]], [[-1, 13]], [[-1, 27]], [[-1, 7]], [[1, 27]], [[-1, 9]], [[-1, 23]], [[-1, 11]], [[1, 31]], [[-1, 5]], [[-1, 19]], [[-1, 15]], [[1, 33]], [[1, 19]], [[1, 1]], [[-1, 21]], [[1, 15]], [[1, 29]], [[1, 5]], [[-1, 25]], [[1, 11]], [[1, 25]], [[1, 9]], [[-1, 29]], [[1, 7]], [[1, 21]], [[1, 13]], [[-1, 33]], [[-1, 1]], [[-1, 30]], [[-1, 18]], [[-1, 10]], [[1, 8]], [[1, 28]], [[-1, 2]], [[-1, 14]], [[-1, 2]], [[-1, 14]], [[-1, 22]], [[-1, 14]], [[-1, 18]], [[1, 24]], [[-1, 26]], [[1, 20]], [[1, 20]], [[1, 4]], [[-1, 10]], [[1, 8]], [[-1, 2]], [[1, 32]], [[-1, 6]], [[1, 32]], [[-1, 30]], [[1, 12]], [[1, 12]], [[-1, 10]], [[1, 24]], [[1, 28]], [[-1, 30]], [[1, 16]], [[-1, 26]], [[1, 16]], [[1, 12]], [[-1, 26]], [[-1, 6]], [[-1, 22]], [[1, 32]], [[1, 28]], [[-1, 6]], [[1, 8]], [[-1, 22]], [[1, 20]], [[1, 4]], [[1, 16]], [[1, 4]], [[1, 24]], [[-1, 18]], [[-1, 24]], [[-1, 4]], [[-1, 32]], [[1, 26]], [[1, 6]], [[-1, 12]], [[1, 6]], [[1, 10]], [[-1, 28]], [[-1, 16]], [[1, 30]], [[1, 22]], [[1, 10]], [[1, 26]], [[1, 22]], [[-1, 16]], [[1, 14]], [[-1, 12]], [[1, 2]], [[1, 18]], [[-1, 28]], [[-1, 24]], [[1, 14]], [[1, 18]], [[-1, 32]], [[-1, 8]], [[-1, 12]], [[1, 2]], [[-1, 8]], [[-1, 24]], [[1, 18]], [[1, 10]], [[1, 14]], [[-1, 20]], [[-1, 20]], [[1, 30]], [[-1, 4]], [[-1, 4]], [[-1, 32]], [[-1, 28]], [[1, 2]], [[-1, 8]], [[1, 26]], [[1, 22]], [[1, 6]], [[-1, 20]], [[-1, 16]], [[1, 30]]]}
-
id: 7283628
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 476, 'counter': 68, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '476.1', 'group_counter': 1, 'group_order': 476, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.a1.a1', 'kernel_order': 7, 'label': '476.1.1f32', 'nt': [68, 32], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 17]], [[-1, 17]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 30]], [[1, 8]], [[1, 20]], [[-1, 6]], [[-1, 10]], [[1, 32]], [[-1, 18]], [[-1, 2]], [[1, 24]], [[1, 16]], [[1, 12]], [[-1, 22]], [[1, 4]], [[-1, 26]], [[-1, 14]], [[1, 28]], [[1, 26]], [[1, 6]], [[1, 14]], [[-1, 32]], [[-1, 24]], [[-1, 8]], [[-1, 16]], [[1, 30]], [[1, 22]], [[1, 10]], [[1, 2]], [[-1, 20]], [[-1, 28]], [[-1, 4]], [[-1, 12]], [[1, 18]], [[-1, 31]], [[1, 3]], [[1, 31]], [[-1, 11]], [[1, 21]], [[1, 7]], [[1, 27]], [[-1, 7]], [[1, 25]], [[1, 11]], [[1, 23]], [[-1, 3]], [[1, 29]], [[1, 15]], [[1, 19]], [[-1, 1]], [[-1, 15]], [[-1, 33]], [[1, 13]], [[-1, 19]], [[-1, 5]], [[-1, 29]], [[1, 9]], [[-1, 23]], [[-1, 9]], [[-1, 25]], [[1, 5]], [[-1, 27]], [[-1, 13]], [[-1, 21]], [[1, 1]], [[1, 33]], [[1, 4]], [[1, 16]], [[1, 24]], [[-1, 26]], [[-1, 6]], [[1, 32]], [[1, 20]], [[1, 32]], [[1, 20]], [[1, 12]], [[1, 20]], [[1, 16]], [[-1, 10]], [[1, 8]], [[-1, 14]], [[-1, 14]], [[-1, 30]], [[1, 24]], [[-1, 26]], [[1, 32]], [[-1, 2]], [[1, 28]], [[-1, 2]], [[1, 4]], [[-1, 22]], [[-1, 22]], [[1, 24]], [[-1, 10]], [[-1, 6]], [[1, 4]], [[-1, 18]], [[1, 8]], [[-1, 18]], [[-1, 22]], [[1, 8]], [[1, 28]], [[1, 12]], [[-1, 2]], [[-1, 6]], [[1, 28]], [[-1, 26]], [[1, 12]], [[-1, 14]], [[-1, 30]], [[-1, 18]], [[-1, 30]], [[-1, 10]], [[1, 16]], [[1, 10]], [[1, 30]], [[1, 2]], [[-1, 8]], [[-1, 28]], [[1, 22]], [[-1, 28]], [[-1, 24]], [[1, 6]], [[1, 18]], [[-1, 4]], [[-1, 12]], [[-1, 24]], [[-1, 8]], [[-1, 12]], [[1, 18]], [[-1, 20]], [[1, 22]], [[-1, 32]], [[-1, 16]], [[1, 6]], [[1, 10]], [[-1, 20]], [[-1, 16]], [[1, 2]], [[1, 26]], [[1, 22]], [[-1, 32]], [[1, 26]], [[1, 10]], [[-1, 16]], [[-1, 24]], [[-1, 20]], [[1, 14]], [[1, 14]], [[-1, 4]], [[1, 30]], [[1, 30]], [[1, 2]], [[1, 6]], [[-1, 32]], [[1, 26]], [[-1, 8]], [[-1, 12]], [[-1, 28]], [[1, 14]], [[1, 18]], [[-1, 4]]]}
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id: 7283598
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id: 7283599
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id: 7283600
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id: 7283601
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 476, 'counter': 43, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '476.1', 'group_counter': 1, 'group_order': 476, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.a1.a1', 'kernel_order': 7, 'label': '476.1.1f7', 'nt': [68, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 17]], [[1, 17]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 28]], [[1, 12]], [[-1, 30]], [[-1, 26]], [[1, 32]], [[-1, 14]], [[-1, 10]], [[1, 20]], [[-1, 2]], [[1, 24]], [[-1, 18]], [[1, 16]], [[-1, 6]], [[-1, 22]], [[1, 4]], [[1, 8]], [[1, 22]], [[1, 26]], [[-1, 4]], [[1, 14]], [[1, 2]], [[-1, 12]], [[-1, 24]], [[-1, 28]], [[-1, 16]], [[-1, 32]], [[-1, 20]], [[1, 30]], [[-1, 8]], [[1, 6]], [[1, 18]], [[1, 10]], [[-1, 21]], [[1, 13]], [[1, 21]], [[-1, 25]], [[1, 23]], [[-1, 19]], [[-1, 15]], [[1, 19]], [[-1, 29]], [[1, 25]], [[1, 9]], [[-1, 13]], [[-1, 1]], [[-1, 31]], [[-1, 3]], [[-1, 27]], [[1, 31]], [[-1, 7]], [[1, 11]], [[1, 3]], [[1, 33]], [[1, 1]], [[-1, 5]], [[-1, 9]], [[1, 5]], [[1, 29]], [[-1, 33]], [[1, 15]], [[-1, 11]], [[-1, 23]], [[1, 27]], [[1, 7]], [[-1, 6]], [[1, 24]], [[-1, 2]], [[-1, 22]], [[-1, 26]], [[-1, 14]], [[-1, 30]], [[-1, 14]], [[-1, 30]], [[-1, 18]], [[-1, 30]], [[1, 24]], [[1, 32]], [[1, 12]], [[1, 4]], [[1, 4]], [[1, 28]], [[-1, 2]], [[-1, 22]], [[-1, 14]], [[1, 20]], [[1, 8]], [[1, 20]], [[-1, 6]], [[1, 16]], [[1, 16]], [[-1, 2]], [[1, 32]], [[-1, 26]], [[-1, 6]], [[-1, 10]], [[1, 12]], [[-1, 10]], [[1, 16]], [[1, 12]], [[1, 8]], [[-1, 18]], [[1, 20]], [[-1, 26]], [[1, 8]], [[-1, 22]], [[-1, 18]], [[1, 4]], [[1, 28]], [[-1, 10]], [[1, 28]], [[1, 32]], [[1, 24]], [[-1, 32]], [[-1, 28]], [[-1, 20]], [[-1, 12]], [[-1, 8]], [[-1, 16]], [[-1, 8]], [[1, 2]], [[1, 26]], [[1, 10]], [[1, 6]], [[1, 18]], [[1, 2]], [[-1, 12]], [[1, 18]], [[1, 10]], [[1, 30]], [[-1, 16]], [[1, 14]], [[-1, 24]], [[1, 26]], [[-1, 32]], [[1, 30]], [[-1, 24]], [[-1, 20]], [[1, 22]], [[-1, 16]], [[1, 14]], [[1, 22]], [[-1, 32]], [[-1, 24]], [[1, 2]], [[1, 30]], [[-1, 4]], [[-1, 4]], [[1, 6]], [[-1, 28]], [[-1, 28]], [[-1, 20]], [[1, 26]], [[1, 14]], [[1, 22]], [[-1, 12]], [[1, 18]], [[-1, 8]], [[-1, 4]], [[1, 10]], [[1, 6]]]}
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id: 7283602
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 476, 'counter': 44, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '476.1', 'group_counter': 1, 'group_order': 476, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.a1.a1', 'kernel_order': 7, 'label': '476.1.1f8', 'nt': [68, 32], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 17]], [[-1, 17]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 6]], [[-1, 22]], [[1, 4]], [[1, 8]], [[-1, 2]], [[1, 20]], [[1, 24]], [[-1, 14]], [[1, 32]], [[-1, 10]], [[1, 16]], [[-1, 18]], [[1, 28]], [[1, 12]], [[-1, 30]], [[-1, 26]], [[-1, 12]], [[-1, 8]], [[1, 30]], [[-1, 20]], [[-1, 32]], [[1, 22]], [[1, 10]], [[1, 6]], [[1, 18]], [[1, 2]], [[1, 14]], [[-1, 4]], [[1, 26]], [[-1, 28]], [[-1, 16]], [[-1, 24]], [[1, 13]], [[-1, 21]], [[-1, 13]], [[1, 9]], [[-1, 11]], [[1, 15]], [[1, 19]], [[-1, 15]], [[1, 5]], [[-1, 9]], [[-1, 25]], [[1, 21]], [[1, 33]], [[1, 3]], [[1, 31]], [[1, 7]], [[-1, 3]], [[1, 27]], [[-1, 23]], [[-1, 31]], [[-1, 1]], [[-1, 33]], [[1, 29]], [[1, 25]], [[-1, 29]], [[-1, 5]], [[1, 1]], [[-1, 19]], [[1, 23]], [[1, 11]], [[-1, 7]], [[-1, 27]], [[1, 28]], [[-1, 10]], [[1, 32]], [[1, 12]], [[1, 8]], [[1, 20]], [[1, 4]], [[1, 20]], [[1, 4]], [[1, 16]], [[1, 4]], [[-1, 10]], [[-1, 2]], [[-1, 22]], [[-1, 30]], [[-1, 30]], [[-1, 6]], [[1, 32]], [[1, 12]], [[1, 20]], [[-1, 14]], [[-1, 26]], [[-1, 14]], [[1, 28]], [[-1, 18]], [[-1, 18]], [[1, 32]], [[-1, 2]], [[1, 8]], [[1, 28]], [[1, 24]], [[-1, 22]], [[1, 24]], [[-1, 18]], [[-1, 22]], [[-1, 26]], [[1, 16]], [[-1, 14]], [[1, 8]], [[-1, 26]], [[1, 12]], [[1, 16]], [[-1, 30]], [[-1, 6]], [[1, 24]], [[-1, 6]], [[-1, 2]], [[-1, 10]], [[1, 2]], [[1, 6]], [[1, 14]], [[1, 22]], [[1, 26]], [[1, 18]], [[1, 26]], [[-1, 32]], [[-1, 8]], [[-1, 24]], [[-1, 28]], [[-1, 16]], [[-1, 32]], [[1, 22]], [[-1, 16]], [[-1, 24]], [[-1, 4]], [[1, 18]], [[-1, 20]], [[1, 10]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[1, 10]], [[1, 14]], [[-1, 12]], [[1, 18]], [[-1, 20]], [[-1, 12]], [[1, 2]], [[1, 10]], [[-1, 32]], [[-1, 4]], [[1, 30]], [[1, 30]], [[-1, 28]], [[1, 6]], [[1, 6]], [[1, 14]], [[-1, 8]], [[-1, 20]], [[-1, 12]], [[1, 22]], [[-1, 16]], [[1, 26]], [[1, 30]], [[-1, 24]], [[-1, 28]]]}
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id: 7283603
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 476, 'counter': 45, 'cyclotomic_n': 68, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '476.1', 'group_counter': 1, 'group_order': 476, 'image': None, 'image_isoclass': '68.2', 'image_order': 68, 'indicator': 0, 'kernel': '68.a1.a1', 'kernel_order': 7, 'label': '476.1.1f9', 'nt': [68, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 17]], [[1, 17]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 10]], [[-1, 14]], [[-1, 18]], [[-1, 2]], [[-1, 26]], [[-1, 22]], [[-1, 6]], [[1, 12]], [[1, 8]], [[1, 28]], [[1, 4]], [[-1, 30]], [[1, 24]], [[1, 20]], [[1, 16]], [[1, 32]], [[-1, 20]], [[1, 2]], [[-1, 16]], [[1, 22]], [[-1, 8]], [[1, 14]], [[-1, 28]], [[1, 10]], [[1, 30]], [[1, 26]], [[-1, 12]], [[1, 18]], [[-1, 32]], [[-1, 24]], [[-1, 4]], [[1, 6]], [[-1, 33]], [[1, 1]], [[1, 33]], [[1, 15]], [[1, 7]], [[1, 25]], [[1, 9]], [[-1, 25]], [[1, 31]], [[-1, 15]], [[-1, 19]], [[-1, 1]], [[-1, 21]], [[1, 5]], [[1, 29]], [[-1, 23]], [[-1, 5]], [[-1, 11]], [[1, 27]], [[-1, 29]], [[1, 13]], [[1, 21]], [[1, 3]], [[1, 19]], [[-1, 3]], [[-1, 31]], [[-1, 13]], [[-1, 9]], [[-1, 27]], [[-1, 7]], [[1, 23]], [[1, 11]], [[1, 24]], [[1, 28]], [[1, 8]], [[1, 20]], [[-1, 2]], [[-1, 22]], [[-1, 18]], [[-1, 22]], [[-1, 18]], [[1, 4]], [[-1, 18]], [[1, 28]], [[-1, 26]], [[-1, 14]], [[1, 16]], [[1, 16]], [[-1, 10]], [[1, 8]], [[1, 20]], [[-1, 22]], [[1, 12]], [[1, 32]], [[1, 12]], [[1, 24]], [[-1, 30]], [[-1, 30]], [[1, 8]], [[-1, 26]], [[-1, 2]], [[1, 24]], [[-1, 6]], [[-1, 14]], [[-1, 6]], [[-1, 30]], [[-1, 14]], [[1, 32]], [[1, 4]], [[1, 12]], [[-1, 2]], [[1, 32]], [[1, 20]], [[1, 4]], [[1, 16]], [[-1, 10]], [[-1, 6]], [[-1, 10]], [[-1, 26]], [[1, 28]], [[1, 26]], [[1, 10]], [[-1, 12]], [[1, 14]], [[-1, 32]], [[1, 30]], [[-1, 32]], [[-1, 8]], [[1, 2]], [[1, 6]], [[-1, 24]], [[-1, 4]], [[-1, 8]], [[1, 14]], [[-1, 4]], [[1, 6]], [[1, 18]], [[1, 30]], [[1, 22]], [[-1, 28]], [[1, 2]], [[1, 26]], [[1, 18]], [[-1, 28]], [[-1, 12]], [[-1, 20]], [[1, 30]], [[1, 22]], [[-1, 20]], [[1, 26]], [[-1, 28]], [[-1, 8]], [[1, 18]], [[-1, 16]], [[-1, 16]], [[-1, 24]], [[1, 10]], [[1, 10]], [[-1, 12]], [[1, 2]], [[1, 22]], [[-1, 20]], [[1, 14]], [[-1, 4]], [[-1, 32]], [[-1, 16]], [[1, 6]], [[-1, 24]]]}
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id: 7283629
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id: 7283631
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id: 7283632
{'center': '14.a1.a1', 'center_index': 14, 'center_order': 34, 'counter': 71, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '476.1', 'group_counter': 1, 'group_order': 476, 'image': None, 'image_isoclass': '14.1', 'image_order': 14, 'indicator': 1, 'kernel': '14.a1.a1', 'kernel_order': 34, 'label': '476.1.2a3', 'nt': [7, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]]]}
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id: 7283633
{'center': '14.a1.a1', 'center_index': 14, 'center_order': 34, 'counter': 72, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '476.1', 'group_counter': 1, 'group_order': 476, 'image': None, 'image_isoclass': '28.1', 'image_order': 28, 'indicator': -1, 'kernel': '28.a1.a1', 'kernel_order': 17, 'label': '476.1.2b1', 'nt': [28, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
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id: 7283634
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id: 7283635
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id: 7283636
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id: 7283646
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id: 7283647
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id: 7283648
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id: 7283651
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id: 7283653
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id: 7283654
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id: 7283637
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id: 7283657
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id: 7283658
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id: 7283661
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id: 7283662
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id: 7283495
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id: 7283498
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id: 7283638
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id: 7283499
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id: 7283502
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id: 7283503
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id: 7283504
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id: 7283506
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id: 7283508
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id: 7283509
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id: 7283639
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id: 7283510
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id: 7283512
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id: 7283513
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id: 7283514
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id: 7283518
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id: 7283519
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id: 7283640
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id: 7283642
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id: 7283644
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id: 7283645
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id: 7283520
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id: 7283532
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id: 7283533
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id: 7283534
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id: 7283537
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id: 7283539
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id: 7283540
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id: 7283521
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id: 7283542
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id: 7283543
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id: 7283544
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id: 7283547
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id: 7283548
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id: 7283550
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id: 7283552
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id: 7283553
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id: 7283554
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id: 7283557
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id: 7283558
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id: 7283559
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id: 7283561
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id: 7283523
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id: 7283563
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id: 7283564
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id: 7283565
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id: 7283567
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id: 7283568
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id: 7283569
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id: 7283524
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id: 7283525
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id: 7283526
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[-1, -42], [-1, -41], [1, -39], [-1, -38], [1, -36], [-1, -35], [-1, -31], [1, -29], [-1, -28], [-1, -24], [-1, -21], [-1, -14], [-1, -7]], [[-1, 53], [-1, -32]], [[-1, 27], [-1, -41]], [[-1, 15], [-1, -36]], [[-1, -47], [-1, -30]], [[-1, 13], [-1, -55]], [[-1, 30], [-1, 47]], [[-1, 1], [1, 7], [-1, 8], [1, 14], [-1, 15], [-1, 18], [1, 21], [-1, 22], [1, 24], [-1, 25], [1, 28], [-1, 29], [1, 31], [-1, 32], [-1, 36], [1, 38], [-1, 39], [1, 41], [-1, 43], [1, 45], [-1, 46], [1, 48], [-1, 50], [-1, 53], [1, 55], [-1, 57], [1, 58], [-1, -59], [1, -57], [-1, -55], [1, -54], [-1, -52], [-1, -48], [1, -47], [-1, -45], [1, -44], [-1, -41], [-1, -38], [1, -37], [-1, -34], [-1, -31], [1, -30], [-1, -24], [-1, -17]], [[-1, 23], [-1, 40]], [[-1, 6], [-1, 57]], [[-1, -54], [-1, -37]], [[-1, 8], [-1, -43]], [[-1, 20], [-1, -48]], [[-1, 46], [-1, -39]], [[-1, 22], [-1, -29]], [[-1, 6], [-1, 13], [1, 17], [-1, 20], [-1, 23], [1, 24], [-1, 27], [-1, 30], [1, 31], [-1, 37], [1, 38], [-1, 40], [-1, 44], 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gps_subgroup_search • Show schema
Hide schema
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id: 66921516
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '476.1', 'ambient_counter': 1, 'ambient_order': 476, 'ambient_tex': 'C_7:C_{68}', 'central': False, 'central_factor': False, 'centralizer_order': 34, 'characteristic': True, 'core_order': 476, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 238, 'label': '476.1.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '476.1', 'subgroup_hash': 1, 'subgroup_order': 476, 'subgroup_tex': 'C_7:C_{68}', 'supersolvable': True, 'sylow': 0}
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id: 66921520
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '476.1', 'ambient_counter': 1, 'ambient_order': 476, 'ambient_tex': 'C_7:C_{68}', 'central': False, 'central_factor': False, 'centralizer_order': 238, 'characteristic': True, 'core_order': 238, 'counter': 2, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '476.1.2.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': ['F', 'S', 'C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '238.4', 'subgroup_hash': 4, 'subgroup_order': 238, 'subgroup_tex': 'C_{238}', 'supersolvable': True, 'sylow': 0}
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id: 66921521
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '476.1', 'ambient_counter': 1, 'ambient_order': 476, 'ambient_tex': 'C_7:C_{68}', 'central': False, 'central_factor': False, 'centralizer_order': 238, 'characteristic': True, 'core_order': 119, 'counter': 3, 'cyclic': True, 'direct': False, 'hall': 119, 'label': '476.1.4.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': ['C2'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '119.1', 'subgroup_hash': 1, 'subgroup_order': 119, 'subgroup_tex': 'C_{119}', 'supersolvable': True, 'sylow': 0}
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id: 66921522
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '476.1', 'ambient_counter': 1, 'ambient_order': 476, 'ambient_tex': 'C_7:C_{68}', 'central': False, 'central_factor': False, 'centralizer_order': 68, 'characteristic': False, 'core_order': 34, 'counter': 4, 'cyclic': True, 'direct': None, 'hall': 34, 'label': '476.1.7.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '7.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '68.2', 'subgroup_hash': 2, 'subgroup_order': 68, 'subgroup_tex': 'C_{68}', 'supersolvable': True, 'sylow': 0}
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id: 66921523
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '476.1', 'ambient_counter': 1, 'ambient_order': 476, 'ambient_tex': 'C_7:C_{68}', 'central': True, 'central_factor': False, 'centralizer_order': 476, 'characteristic': True, 'core_order': 34, 'counter': 5, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '476.1.14.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '14.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '14.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 14, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_7', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U0'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '34.2', 'subgroup_hash': 2, 'subgroup_order': 34, 'subgroup_tex': 'C_{34}', 'supersolvable': True, 'sylow': 0}
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id: 66921524
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '476.1', 'ambient_counter': 1, 'ambient_order': 476, 'ambient_tex': 'C_7:C_{68}', 'central': False, 'central_factor': True, 'centralizer_order': 34, 'characteristic': True, 'core_order': 28, 'counter': 6, 'cyclic': False, 'direct': True, 'hall': 14, 'label': '476.1.17.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '17.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '17.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 17, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{17}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': 1, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
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id: 66921525
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '476.1', 'ambient_counter': 1, 'ambient_order': 476, 'ambient_tex': 'C_7:C_{68}', 'central': True, 'central_factor': False, 'centralizer_order': 476, 'characteristic': True, 'core_order': 17, 'counter': 7, 'cyclic': True, 'direct': True, 'hall': 17, 'label': '476.1.28.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '28.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '28.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7:C_4', 'simple': True, 'solvable': True, 'special_labels': ['C3'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '17.1', 'subgroup_hash': 1, 'subgroup_order': 17, 'subgroup_tex': 'C_{17}', 'supersolvable': True, 'sylow': 17}
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id: 66921526
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '476.1', 'ambient_counter': 1, 'ambient_order': 476, 'ambient_tex': 'C_7:C_{68}', 'central': False, 'central_factor': False, 'centralizer_order': 238, 'characteristic': True, 'core_order': 14, 'counter': 8, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '476.1.34.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '34.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '34.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 34, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{34}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
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id: 66921527
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '476.1', 'ambient_counter': 1, 'ambient_order': 476, 'ambient_tex': 'C_7:C_{68}', 'central': False, 'central_factor': False, 'centralizer_order': 238, 'characteristic': True, 'core_order': 7, 'counter': 9, 'cyclic': True, 'direct': False, 'hall': 7, 'label': '476.1.68.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '68.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '68.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 68, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{68}', 'simple': True, 'solvable': True, 'special_labels': ['D', 'L1', 'D1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '7.1', 'subgroup_hash': 1, 'subgroup_order': 7, 'subgroup_tex': 'C_7', 'supersolvable': True, 'sylow': 7}
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id: 66921517
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '476.1', 'ambient_counter': 1, 'ambient_order': 476, 'ambient_tex': 'C_7:C_{68}', 'central': False, 'central_factor': False, 'centralizer_order': 68, 'characteristic': False, 'core_order': 2, 'counter': 10, 'cyclic': True, 'direct': None, 'hall': 2, 'label': '476.1.119.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '119.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 119, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 2}
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id: 66921518
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '476.1', 'ambient_counter': 1, 'ambient_order': 476, 'ambient_tex': 'C_7:C_{68}', 'central': True, 'central_factor': False, 'centralizer_order': 476, 'characteristic': True, 'core_order': 2, 'counter': 11, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '476.1.238.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '238.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '238.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 238, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_7\\times C_{17}', 'simple': True, 'solvable': True, 'special_labels': ['Phi'], '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: 66921519
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '476.1', 'ambient_counter': 1, 'ambient_order': 476, 'ambient_tex': 'C_7:C_{68}', 'central': True, 'central_factor': False, 'centralizer_order': 476, 'characteristic': True, 'core_order': 1, 'counter': 12, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '476.1.476.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '476.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '476.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 476, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7:C_{68}', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U1', 'D2', 'C4'], '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: 66921516
{'ambient': '476.1', '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': '14.a1.a1', 'complements': ['476.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '7.a1.a1', '17.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7038, 7421, 2563, 7254, 6237, 6641, 6274, 6660], 'generators': [1, 28, 340, 2], 'label': '476.1.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '17.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '14.1', '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': '14.1'}
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id: 66921517
{'ambient': '476.1', 'aut_centralizer_order': 96, 'aut_label': '119.a1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '2.1', 'aut_weyl_index': 672, 'centralizer': '7.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['7.a1.a1', '17.a1.a1'], 'contains': ['238.a1.a1'], 'core': '238.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [7501, -1, 2563, -1, 8904, -1, 8957, -1], 'generators': [1], 'label': '476.1.119.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '17.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '119.a1.a1', 'projective_image': '238.1', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '119.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 66921518
{'ambient': '476.1', 'aut_centralizer_order': 1344, 'aut_label': '238.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 1344, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['14.a1.a1', '34.a1.a1', '119.a1.a1'], 'contains': ['476.a1.a1'], 'core': '238.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4755, 5283, 5477, 5267, 6533, 5038, 6572, 7799], 'generators': [2], 'label': '476.1.238.a1.a1', 'mobius_quo': -1, 'mobius_sub': -7, 'normal_closure': '238.a1.a1', 'normal_contained_in': ['14.a1.a1', '34.a1.a1'], 'normal_contains': ['476.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '238.a1.a1', 'projective_image': '238.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '238.1', 'quotient_action_kernel_order': 238, 'quotient_fusion': None, 'short_label': '238.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 66921519
{'ambient': '476.1', 'aut_centralizer_order': None, 'aut_label': '476.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': ['28.a1.a1', '68.a1.a1', '238.a1.a1'], 'contains': [], 'core': '476.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2615, 3239, 7337, 3343, 4400, 5038, 4188, 5067], 'generators': [], 'label': '476.1.476.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '476.a1.a1', 'normal_contained_in': ['28.a1.a1', '68.a1.a1', '238.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '476.a1.a1', 'projective_image': '476.1', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '476.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 66921520
{'ambient': '476.1', 'aut_centralizer_order': 14, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '96.59', 'aut_weyl_index': 14, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '14.a1.a1', '34.a1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4234, 5471, 4698, 5678, 3481, 4847, 3443, 4877], 'generators': [2, 340, 28], 'label': '476.1.2.a1.a1', 'mobius_quo': -1, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '14.a1.a1', '34.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '14.1', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 66921521
{'ambient': '476.1', 'aut_centralizer_order': 14, 'aut_label': '4.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '96.59', 'aut_weyl_index': 14, 'centralizer': '2.a1.a1', 'complements': ['119.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['28.a1.a1', '68.a1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1142, 2893, 7638, 2870, 1170, 4886, 1177, 1499], 'generators': [340, 28], 'label': '476.1.4.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['28.a1.a1', '68.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '28.1', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 66921522
{'ambient': '476.1', 'aut_centralizer_order': 6, 'aut_label': '7.a1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '32.16', 'aut_weyl_index': 42, 'centralizer': '7.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['14.a1.a1', '119.a1.a1'], 'core': '14.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [8858, -1, 2563, -1, 6237, -1, 8957, -1], 'generators': [1, 28, 2], 'label': '476.1.7.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '7.a1.a1', 'projective_image': '14.1', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 66921523
{'ambient': '476.1', 'aut_centralizer_order': 84, 'aut_label': '14.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.1', 'aut_weyl_index': 84, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '7.a1.a1'], 'contains': ['28.a1.a1', '238.a1.a1'], 'core': '14.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5101, 4874, 5729, 4858, 3926, 1336, 6572, 5029], 'generators': [2, 28], 'label': '476.1.14.a1.a1', 'mobius_quo': 1, 'mobius_sub': 7, 'normal_closure': '14.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['28.a1.a1', '238.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '14.a1.a1', 'projective_image': '14.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '14.1', 'quotient_action_kernel_order': 14, 'quotient_fusion': None, 'short_label': '14.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 66921524
{'ambient': '476.1', 'aut_centralizer_order': 16, 'aut_label': '17.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '84.7', 'aut_weyl_index': 16, 'centralizer': '14.a1.a1', 'complements': ['28.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['34.a1.a1', '119.a1.a1'], 'core': '17.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7182, 8899, 929, 8896, 8904, 8473, 6274, 8482], 'generators': [1, 340, 2], 'label': '476.1.17.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '17.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['34.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '17.a1.a1', 'projective_image': '238.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '17.1', 'quotient_action_kernel_order': 17, 'quotient_fusion': None, 'short_label': '17.a1.a1', 'subgroup_fusion': None, 'weyl_group': '14.1'}
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id: 66921525
{'ambient': '476.1', 'aut_centralizer_order': 84, 'aut_label': '28.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.1', 'aut_weyl_index': 84, 'centralizer': '1.a1.a1', 'complements': ['17.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '14.a1.a1'], 'contains': ['476.a1.a1'], 'core': '28.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1286, 1101, 9071, 1104, 2030, 1985, 4188, 2030], 'generators': [28], 'label': '476.1.28.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '28.a1.a1', 'normal_contained_in': ['4.a1.a1', '14.a1.a1'], 'normal_contains': ['476.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '28.a1.a1', 'projective_image': '28.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '28.1', 'quotient_action_kernel_order': 28, 'quotient_fusion': None, 'short_label': '28.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 66921526
{'ambient': '476.1', 'aut_centralizer_order': 224, 'aut_label': '34.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 224, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '17.a1.a1'], 'contains': ['68.a1.a1', '238.a1.a1'], 'core': '34.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3281, 7264, 4146, 7254, 6533, 8435, 3949, 8368], 'generators': [2, 340], 'label': '476.1.34.a1.a1', 'mobius_quo': 1, 'mobius_sub': 1, 'normal_closure': '34.a1.a1', 'normal_contained_in': ['2.a1.a1', '17.a1.a1'], 'normal_contains': ['68.a1.a1', '238.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '34.a1.a1', 'projective_image': '238.1', 'quotient_action_image': '2.1', 'quotient_action_kernel': '17.1', 'quotient_action_kernel_order': 17, 'quotient_fusion': None, 'short_label': '34.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 66921527
{'ambient': '476.1', 'aut_centralizer_order': 224, 'aut_label': '68.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 224, 'centralizer': '2.a1.a1', 'complements': ['7.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '34.a1.a1'], 'contains': ['476.a1.a1'], 'core': '68.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2615, 3239, 7337, 3343, 4400, 7786, 1803, 5067], 'generators': [340], 'label': '476.1.68.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '68.a1.a1', 'normal_contained_in': ['4.a1.a1', '34.a1.a1'], 'normal_contains': ['476.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '68.a1.a1', 'projective_image': '476.1', 'quotient_action_image': '2.1', 'quotient_action_kernel': '34.2', 'quotient_action_kernel_order': 34, 'quotient_fusion': None, 'short_label': '68.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}