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gps_groups • Show schema
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{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '110.6', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 110, 'aut_gen_orders': [10, 10, 10], 'aut_gens': [[1, 110, 1210, 13310], [83881, 330, 128260, 119790], [6621, 10340, 6050, 79860], [140301, 50710, 31460, 79860]], 'aut_group': None, 'aut_hash': 8051729710038080306, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 16105100, 'aut_permdeg': 2541, 'aut_perms': 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'aut_phi_ratio': 302.5, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1331, 1, 1], [5, 1331, 1, 4], [10, 1331, 1, 4], [11, 10, 1, 1], [11, 110, 1, 1], [11, 110, 11, 1], [11, 121, 10, 1], [11, 1210, 10, 1], [22, 1331, 10, 1], [55, 1331, 10, 4], [110, 1331, 10, 4]], 'aut_supersolvable': True, 'aut_tex': 'C_{11}^3.C_{11}^2.C_{10}^2', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 1, 'autcent_group': '1.1', 'autcent_hash': 1, 'autcent_nilpotent': True, 'autcent_order': 1, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_1', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 110, 'autcentquo_group': None, 'autcentquo_hash': 8051729710038080306, 'autcentquo_nilpotent': False, 'autcentquo_order': 16105100, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_{11}^3.C_{11}^2.C_{10}^2', 'cc_stats': [[1, 1, 1], [2, 1331, 1], [5, 1331, 4], [10, 1331, 4], [11, 10, 1], [11, 110, 12], [11, 121, 10], [11, 1210, 10], [22, 1331, 10], [55, 1331, 40], [110, 1331, 40]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '146410.v', 'commutator_count': 1, 'commutator_label': '1331.5', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '5.1', '11.1', '11.1', '11.1', '11.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 22, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1331, 1, 1], [5, 1331, 4, 1], [10, 1331, 4, 1], [11, 10, 1, 1], [11, 110, 1, 12], [11, 121, 10, 1], [11, 1210, 10, 1], [22, 1331, 10, 1], [55, 1331, 40, 1], [110, 1331, 40, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 864, 'exponent': 110, 'exponents_of_order': [4, 1, 1], 'factors_of_aut_order': [2, 5, 11], 'factors_of_order': [2, 5, 11], 'faithful_reps': [[110, 1, 11]], 'familial': False, 'frattini_label': '121.2', 'frattini_quotient': '1210.8', 'hash': 6028564036884513771, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 110, 'inner_gen_orders': [110, 11, 11, 11], 'inner_gens': [[1, 127270, 29040, 26620], [33771, 110, 1210, 13310], [131891, 110, 1210, 13310], [133101, 110, 1210, 13310]], 'inner_hash': 6028564036884513771, 'inner_nilpotent': False, 'inner_order': 146410, 'inner_split': True, 'inner_tex': 'C_{11}^3:C_{110}', 'inner_used': [1, 2], 'irrC_degree': 110, 'irrQ_degree': 110, 'irrQ_dim': 110, 'irrR_degree': 110, 'irrep_stats': [[1, 110], [10, 11], [110, 12]], 'label': '146410.v', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C11^3:C110', 'ngens': 6, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 24, 'number_characteristic_subgroups': 12, 'number_conjugacy_classes': 133, 'number_divisions': 22, 'number_normal_subgroups': 12, 'number_subgroup_autclasses': 51, 'number_subgroup_classes': 131, 'number_subgroups': 62788, 'old_label': None, 'order': 146410, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 1331], [5, 5324], [10, 5324], [11, 14640], [22, 13310], [55, 53240], [110, 53240]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 110, 'outer_gen_orders': [5, 22], 'outer_gen_pows': [0, 0], 'outer_gens': [[31, 133210, 77440, 53240], [21, 134200, 27830, 133100]], 'outer_group': '110.2', 'outer_hash': 2, 'outer_nilpotent': False, 'outer_order': 110, 'outer_permdeg': 13, 'outer_perms': [122451840, 566599249], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_{11}:C_{10}', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 121, 'pgroup': 0, 'primary_abelian_invariants': [2, 5, 11], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [4, 2], [10, 3], [40, 2], [100, 1], [110, 12]], 'representations': {'PC': {'code': '324163317276490232133074508237832838714782213158796163039999', 'gens': [1, 4, 5, 6], 'pres': [6, -2, -5, -11, -11, -11, -11, 12, 67, 3054483, 673209, 151287, 871204, 1669810, 402946, 958325, 958331]}, 'GLFp': {'d': 4, 'p': 11, 'gens': [44917258509383164, 18554914974837870, 35059343011923546, 8899890620707361, 32182222080390795, 17555098546752892]}, 'Perm': {'d': 121, 'gens': [7368405917235891609099293579547006216423347962778160364794451041438699417118207864400844738616956580302805956601411992898001726098596964537897675806872727810461924153369127885411189094857364573177836, 14104290692559616875512741336356243991820546899607823544206195212724242014149609917187260952134664382901064307266665566278701872216028893733168400471900608240937214323293145369628457189379108492601826, 20859345242649451921816904323879872957834867321818082594013285610646347728831671555378473353418658560867394772657218898254178771678015794417172105325275855131756752599365895898574398254389022625075948, 27605098229976585263433259616357280243106296393627835232455856764771944002355463804683348483667048971491259290684888162696161224678424584360172488074218950695382960051454379308490057460673357863040997, 34350739877109677718395367801376474072542958783852194131965277977913552223831703879559594574509938020400877328801345690547952669920108031290026639920289885440696936982408706487600987352172927631344993, 41096536681455181746553580396061805505400144270309058218903318479546242821927399853800076583008749577982644783659659980757334771881844990154965631088779333190468048944645615911309510294126744771999409]}}, 'schur_multiplier': [], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [110], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{11}^3:C_{110}', 'transitive_degree': 121, 'wreath_data': None, 'wreath_product': False}
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gps_conj_classes • Show schema
Hide schema
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id: 108791841
{'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 22, 'group_order': 146410, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
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id: 108791886
{'aut_label': '2A', 'centralizer': '1331.a1', 'counter': 2, 'group_counter': 22, 'group_order': 146410, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 25905, 'size': 1331}
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id: 108791897
{'aut_label': '5A1', 'centralizer': '1331.a1', 'counter': 3, 'group_counter': 22, 'group_order': 146410, 'label': '5A1', 'order': 5, 'powers': [5, 1, 3], 'representative': 98736, 'size': 1331}
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id: 108791908
{'aut_label': '5A-1', 'centralizer': '1331.a1', 'counter': 4, 'group_counter': 22, 'group_order': 146410, 'label': '5A-1', 'order': 5, 'powers': [6, 1, 4], 'representative': 122584, 'size': 1331}
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id: 108791919
{'aut_label': '5A2', 'centralizer': '1331.a1', 'counter': 5, 'group_counter': 22, 'group_order': 146410, 'label': '5A2', 'order': 5, 'powers': [4, 1, 5], 'representative': 62282, 'size': 1331}
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id: 108791930
{'aut_label': '5A-2', 'centralizer': '1331.a1', 'counter': 6, 'group_counter': 22, 'group_order': 146410, 'label': '5A-2', 'order': 5, 'powers': [3, 1, 6], 'representative': 135168, 'size': 1331}
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id: 108791941
{'aut_label': '10A1', 'centralizer': '1331.a1', 'counter': 7, 'group_counter': 22, 'group_order': 146410, 'label': '10A1', 'order': 10, 'powers': [3, 2, 7], 'representative': 38423, 'size': 1331}
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id: 108791952
{'aut_label': '10A-1', 'centralizer': '1331.a1', 'counter': 8, 'group_counter': 22, 'group_order': 146410, 'label': '10A-1', 'order': 10, 'powers': [4, 2, 8], 'representative': 111287, 'size': 1331}
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id: 108791963
{'aut_label': '10A3', 'centralizer': '1331.a1', 'counter': 9, 'group_counter': 22, 'group_order': 146410, 'label': '10A3', 'order': 10, 'powers': [6, 2, 9], 'representative': 49819, 'size': 1331}
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id: 108791842
{'aut_label': '10A-3', 'centralizer': '1331.a1', 'counter': 10, 'group_counter': 22, 'group_order': 146410, 'label': '10A-3', 'order': 10, 'powers': [5, 2, 10], 'representative': 74811, 'size': 1331}
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id: 108791853
{'aut_label': '11A', 'centralizer': '10.a1', 'counter': 11, 'group_counter': 22, 'group_order': 146410, 'label': '11A', 'order': 11, 'powers': [11, 11, 1], 'representative': 13310, 'size': 10}
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id: 108791864
{'aut_label': '11B', 'centralizer': '110.a1', 'counter': 12, 'group_counter': 22, 'group_order': 146410, 'label': '11B', 'order': 11, 'powers': [12, 12, 1], 'representative': 1210, 'size': 110}
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id: 108791875
{'aut_label': '11C', 'centralizer': '110.a1', 'counter': 13, 'group_counter': 22, 'group_order': 146410, 'label': '11C', 'order': 11, 'powers': [13, 13, 1], 'representative': 110, 'size': 110}
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id: 108791880
{'aut_label': '11C', 'centralizer': '110.a1', 'counter': 14, 'group_counter': 22, 'group_order': 146410, 'label': '11D', 'order': 11, 'powers': [14, 14, 1], 'representative': 13420, 'size': 110}
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id: 108791881
{'aut_label': '11C', 'centralizer': '110.a1', 'counter': 15, 'group_counter': 22, 'group_order': 146410, 'label': '11E', 'order': 11, 'powers': [15, 15, 1], 'representative': 1320, 'size': 110}
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id: 108791882
{'aut_label': '11C', 'centralizer': '110.a1', 'counter': 16, 'group_counter': 22, 'group_order': 146410, 'label': '11F', 'order': 11, 'powers': [16, 16, 1], 'representative': 26730, 'size': 110}
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id: 108791883
{'aut_label': '11C', 'centralizer': '110.a1', 'counter': 17, 'group_counter': 22, 'group_order': 146410, 'label': '11G', 'order': 11, 'powers': [17, 17, 1], 'representative': 13530, 'size': 110}
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id: 108791884
{'aut_label': '11C', 'centralizer': '110.a1', 'counter': 18, 'group_counter': 22, 'group_order': 146410, 'label': '11H', 'order': 11, 'powers': [18, 18, 1], 'representative': 1430, 'size': 110}
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id: 108791885
{'aut_label': '11C', 'centralizer': '110.a1', 'counter': 19, 'group_counter': 22, 'group_order': 146410, 'label': '11I', 'order': 11, 'powers': [19, 19, 1], 'representative': 40040, 'size': 110}
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id: 108791887
{'aut_label': '11C', 'centralizer': '110.a1', 'counter': 20, 'group_counter': 22, 'group_order': 146410, 'label': '11J', 'order': 11, 'powers': [20, 20, 1], 'representative': 13640, 'size': 110}
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id: 108791888
{'aut_label': '11C', 'centralizer': '110.a1', 'counter': 21, 'group_counter': 22, 'group_order': 146410, 'label': '11K', 'order': 11, 'powers': [21, 21, 1], 'representative': 40150, 'size': 110}
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id: 108791889
{'aut_label': '11C', 'centralizer': '110.a1', 'counter': 22, 'group_counter': 22, 'group_order': 146410, 'label': '11L', 'order': 11, 'powers': [22, 22, 1], 'representative': 3850, 'size': 110}
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id: 108791890
{'aut_label': '11C', 'centralizer': '110.a1', 'counter': 23, 'group_counter': 22, 'group_order': 146410, 'label': '11M', 'order': 11, 'powers': [23, 23, 1], 'representative': 13860, 'size': 110}
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id: 108791891
{'aut_label': '11N1', 'centralizer': '121.a1', 'counter': 24, 'group_counter': 22, 'group_order': 146410, 'label': '11N1', 'order': 11, 'powers': [26, 32, 1], 'representative': 88360, 'size': 121}
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id: 108791892
{'aut_label': '11N1', 'centralizer': '121.a1', 'counter': 25, 'group_counter': 22, 'group_order': 146410, 'label': '11N-1', 'order': 11, 'powers': [27, 33, 1], 'representative': 84780, 'size': 121}
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id: 108791893
{'aut_label': '11N1', 'centralizer': '121.a1', 'counter': 26, 'group_counter': 22, 'group_order': 146410, 'label': '11N2', 'order': 11, 'powers': [30, 25, 1], 'representative': 30310, 'size': 121}
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id: 108791894
{'aut_label': '11N1', 'centralizer': '121.a1', 'counter': 27, 'group_counter': 22, 'group_order': 146410, 'label': '11N-2', 'order': 11, 'powers': [31, 24, 1], 'representative': 36350, 'size': 121}
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id: 108791895
{'aut_label': '11N1', 'centralizer': '121.a1', 'counter': 28, 'group_counter': 22, 'group_order': 146410, 'label': '11N3', 'order': 11, 'powers': [33, 30, 1], 'representative': 145290, 'size': 121}
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id: 108791896
{'aut_label': '11N1', 'centralizer': '121.a1', 'counter': 29, 'group_counter': 22, 'group_order': 146410, 'label': '11N-3', 'order': 11, 'powers': [32, 31, 1], 'representative': 134330, 'size': 121}
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id: 108791898
{'aut_label': '11N1', 'centralizer': '121.a1', 'counter': 30, 'group_counter': 22, 'group_order': 146410, 'label': '11N4', 'order': 11, 'powers': [29, 27, 1], 'representative': 113750, 'size': 121}
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id: 108791899
{'aut_label': '11N1', 'centralizer': '121.a1', 'counter': 31, 'group_counter': 22, 'group_order': 146410, 'label': '11N-4', 'order': 11, 'powers': [28, 26, 1], 'representative': 112630, 'size': 121}
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id: 108791900
{'aut_label': '11N1', 'centralizer': '121.a1', 'counter': 32, 'group_counter': 22, 'group_order': 146410, 'label': '11N5', 'order': 11, 'powers': [25, 28, 1], 'representative': 95630, 'size': 121}
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id: 108791901
{'aut_label': '11N1', 'centralizer': '121.a1', 'counter': 33, 'group_counter': 22, 'group_order': 146410, 'label': '11N-5', 'order': 11, 'powers': [24, 29, 1], 'representative': 104130, 'size': 121}
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id: 108791902
{'aut_label': '11O1', 'centralizer': '1210.d1', 'counter': 34, 'group_counter': 22, 'group_order': 146410, 'label': '11O1', 'order': 11, 'powers': [36, 42, 1], 'representative': 15870, 'size': 1210}
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id: 108791903
{'aut_label': '11O1', 'centralizer': '1210.d1', 'counter': 35, 'group_counter': 22, 'group_order': 146410, 'label': '11O-1', 'order': 11, 'powers': [37, 43, 1], 'representative': 120970, 'size': 1210}
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id: 108791904
{'aut_label': '11O1', 'centralizer': '1210.d1', 'counter': 36, 'group_counter': 22, 'group_order': 146410, 'label': '11O2', 'order': 11, 'powers': [40, 35, 1], 'representative': 87400, 'size': 1210}
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id: 108791905
{'aut_label': '11O1', 'centralizer': '1210.d1', 'counter': 37, 'group_counter': 22, 'group_order': 146410, 'label': '11O-2', 'order': 11, 'powers': [41, 34, 1], 'representative': 16770, 'size': 1210}
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id: 108791906
{'aut_label': '11O1', 'centralizer': '1210.d1', 'counter': 38, 'group_counter': 22, 'group_order': 146410, 'label': '11O3', 'order': 11, 'powers': [43, 40, 1], 'representative': 121420, 'size': 1210}
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id: 108791907
{'aut_label': '11O1', 'centralizer': '1210.d1', 'counter': 39, 'group_counter': 22, 'group_order': 146410, 'label': '11O-3', 'order': 11, 'powers': [42, 41, 1], 'representative': 61400, 'size': 1210}
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id: 108791909
{'aut_label': '11O1', 'centralizer': '1210.d1', 'counter': 40, 'group_counter': 22, 'group_order': 146410, 'label': '11O4', 'order': 11, 'powers': [39, 37, 1], 'representative': 64580, 'size': 1210}
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id: 108791910
{'aut_label': '11O1', 'centralizer': '1210.d1', 'counter': 41, 'group_counter': 22, 'group_order': 146410, 'label': '11O-4', 'order': 11, 'powers': [38, 36, 1], 'representative': 28700, 'size': 1210}
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id: 108791911
{'aut_label': '11O1', 'centralizer': '1210.d1', 'counter': 42, 'group_counter': 22, 'group_order': 146410, 'label': '11O5', 'order': 11, 'powers': [35, 38, 1], 'representative': 103440, 'size': 1210}
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id: 108791912
{'aut_label': '11O1', 'centralizer': '1210.d1', 'counter': 43, 'group_counter': 22, 'group_order': 146410, 'label': '11O-5', 'order': 11, 'powers': [34, 39, 1], 'representative': 24930, 'size': 1210}
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id: 108791913
{'aut_label': '22A1', 'centralizer': '1331.a1', 'counter': 44, 'group_counter': 22, 'group_order': 146410, 'label': '22A1', 'order': 22, 'powers': [24, 48, 2], 'representative': 68215, 'size': 1331}
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id: 108791914
{'aut_label': '22A1', 'centralizer': '1331.a1', 'counter': 45, 'group_counter': 22, 'group_order': 146410, 'label': '22A-1', 'order': 22, 'powers': [25, 49, 2], 'representative': 76765, 'size': 1331}
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id: 108791915
{'aut_label': '22A1', 'centralizer': '1331.a1', 'counter': 46, 'group_counter': 22, 'group_order': 146410, 'label': '22A3', 'order': 22, 'powers': [28, 51, 2], 'representative': 59775, 'size': 1331}
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id: 108791916
{'aut_label': '22A1', 'centralizer': '1331.a1', 'counter': 47, 'group_counter': 22, 'group_order': 146410, 'label': '22A-3', 'order': 22, 'powers': [29, 50, 2], 'representative': 58585, 'size': 1331}
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id: 108791917
{'aut_label': '22A1', 'centralizer': '1331.a1', 'counter': 48, 'group_counter': 22, 'group_order': 146410, 'label': '22A5', 'order': 22, 'powers': [32, 46, 2], 'representative': 38025, 'size': 1331}
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id: 108791918
{'aut_label': '22A1', 'centralizer': '1331.a1', 'counter': 49, 'group_counter': 22, 'group_order': 146410, 'label': '22A-5', 'order': 22, 'powers': [33, 47, 2], 'representative': 27095, 'size': 1331}
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id: 108791920
{'aut_label': '22A1', 'centralizer': '1331.a1', 'counter': 50, 'group_counter': 22, 'group_order': 146410, 'label': '22A7', 'order': 22, 'powers': [31, 53, 2], 'representative': 136065, 'size': 1331}
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id: 108791921
{'aut_label': '22A1', 'centralizer': '1331.a1', 'counter': 51, 'group_counter': 22, 'group_order': 146410, 'label': '22A-7', 'order': 22, 'powers': [30, 52, 2], 'representative': 142015, 'size': 1331}
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id: 108791922
{'aut_label': '22A1', 'centralizer': '1331.a1', 'counter': 52, 'group_counter': 22, 'group_order': 146410, 'label': '22A9', 'order': 22, 'powers': [27, 44, 2], 'representative': 87585, 'size': 1331}
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id: 108791923
{'aut_label': '22A1', 'centralizer': '1331.a1', 'counter': 53, 'group_counter': 22, 'group_order': 146410, 'label': '22A-9', 'order': 22, 'powers': [26, 45, 2], 'representative': 84015, 'size': 1331}
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id: 108791924
{'aut_label': '55A1', 'centralizer': '1331.a1', 'counter': 54, 'group_counter': 22, 'group_order': 146410, 'label': '55A1', 'order': 55, 'powers': [56, 24, 3], 'representative': 52696, 'size': 1331}
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id: 108791925
{'aut_label': '55A-1', 'centralizer': '1331.a1', 'counter': 55, 'group_counter': 22, 'group_order': 146410, 'label': '55A-1', 'order': 55, 'powers': [57, 25, 4], 'representative': 114174, 'size': 1331}
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id: 108791926
{'aut_label': '55A2', 'centralizer': '1331.a1', 'counter': 56, 'group_counter': 22, 'group_order': 146410, 'label': '55A2', 'order': 55, 'powers': [60, 26, 5], 'representative': 46542, 'size': 1331}
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id: 108791927
{'aut_label': '55A-2', 'centralizer': '1331.a1', 'counter': 57, 'group_counter': 22, 'group_order': 146410, 'label': '55A-2', 'order': 55, 'powers': [61, 27, 6], 'representative': 23858, 'size': 1331}
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id: 108791928
{'aut_label': '55A-2', 'centralizer': '1331.a1', 'counter': 58, 'group_counter': 22, 'group_order': 146410, 'label': '55A3', 'order': 55, 'powers': [62, 28, 6], 'representative': 129048, 'size': 1331}
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id: 108791929
{'aut_label': '55A2', 'centralizer': '1331.a1', 'counter': 59, 'group_counter': 22, 'group_order': 146410, 'label': '55A-3', 'order': 55, 'powers': [63, 29, 5], 'representative': 145842, 'size': 1331}
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id: 108791931
{'aut_label': '55A-1', 'centralizer': '1331.a1', 'counter': 60, 'group_counter': 22, 'group_order': 146410, 'label': '55A4', 'order': 55, 'powers': [66, 30, 4], 'representative': 63274, 'size': 1331}
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id: 108791932
{'aut_label': '55A1', 'centralizer': '1331.a1', 'counter': 61, 'group_counter': 22, 'group_order': 146410, 'label': '55A-4', 'order': 55, 'powers': [67, 31, 3], 'representative': 122956, 'size': 1331}
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id: 108791933
{'aut_label': '55A1', 'centralizer': '1331.a1', 'counter': 62, 'group_counter': 22, 'group_order': 146410, 'label': '55A6', 'order': 55, 'powers': [70, 33, 3], 'representative': 89026, 'size': 1331}
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id: 108791934
{'aut_label': '55A-1', 'centralizer': '1331.a1', 'counter': 63, 'group_counter': 22, 'group_order': 146410, 'label': '55A-6', 'order': 55, 'powers': [71, 32, 4], 'representative': 85104, 'size': 1331}
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id: 108791935
{'aut_label': '55A2', 'centralizer': '1331.a1', 'counter': 64, 'group_counter': 22, 'group_order': 146410, 'label': '55A7', 'order': 55, 'powers': [74, 31, 5], 'representative': 592, 'size': 1331}
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id: 108791936
{'aut_label': '55A-2', 'centralizer': '1331.a1', 'counter': 65, 'group_counter': 22, 'group_order': 146410, 'label': '55A-7', 'order': 55, 'powers': [75, 30, 6], 'representative': 104898, 'size': 1331}
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id: 108791937
{'aut_label': '55A-2', 'centralizer': '1331.a1', 'counter': 66, 'group_counter': 22, 'group_order': 146410, 'label': '55A8', 'order': 55, 'powers': [76, 29, 6], 'representative': 127868, 'size': 1331}
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id: 108791938
{'aut_label': '55A2', 'centralizer': '1331.a1', 'counter': 67, 'group_counter': 22, 'group_order': 146410, 'label': '55A-8', 'order': 55, 'powers': [77, 28, 5], 'representative': 138552, 'size': 1331}
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id: 108791939
{'aut_label': '55A-1', 'centralizer': '1331.a1', 'counter': 68, 'group_counter': 22, 'group_order': 146410, 'label': '55A9', 'order': 55, 'powers': [80, 27, 4], 'representative': 79034, 'size': 1331}
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id: 108791940
{'aut_label': '55A1', 'centralizer': '1331.a1', 'counter': 69, 'group_counter': 22, 'group_order': 146410, 'label': '55A-9', 'order': 55, 'powers': [81, 26, 3], 'representative': 33386, 'size': 1331}
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id: 108791942
{'aut_label': '55A2', 'centralizer': '1331.a1', 'counter': 70, 'group_counter': 22, 'group_order': 146410, 'label': '55A12', 'order': 55, 'powers': [88, 24, 5], 'representative': 21192, 'size': 1331}
-
id: 108791943
{'aut_label': '55A-2', 'centralizer': '1331.a1', 'counter': 71, 'group_counter': 22, 'group_order': 146410, 'label': '55A-12', 'order': 55, 'powers': [89, 25, 6], 'representative': 79458, 'size': 1331}
-
id: 108791944
{'aut_label': '55A-2', 'centralizer': '1331.a1', 'counter': 72, 'group_counter': 22, 'group_order': 146410, 'label': '55A13', 'order': 55, 'powers': [90, 26, 6], 'representative': 20208, 'size': 1331}
-
id: 108791945
{'aut_label': '55A2', 'centralizer': '1331.a1', 'counter': 73, 'group_counter': 22, 'group_order': 146410, 'label': '55A-13', 'order': 55, 'powers': [91, 27, 5], 'representative': 51402, 'size': 1331}
-
id: 108791946
{'aut_label': '55A-1', 'centralizer': '1331.a1', 'counter': 74, 'group_counter': 22, 'group_order': 146410, 'label': '55A14', 'order': 55, 'powers': [93, 28, 4], 'representative': 1624, 'size': 1331}
-
id: 108791947
{'aut_label': '55A1', 'centralizer': '1331.a1', 'counter': 75, 'group_counter': 22, 'group_order': 146410, 'label': '55A-14', 'order': 55, 'powers': [92, 29, 3], 'representative': 63606, 'size': 1331}
-
id: 108791948
{'aut_label': '55A1', 'centralizer': '1331.a1', 'counter': 76, 'group_counter': 22, 'group_order': 146410, 'label': '55A16', 'order': 55, 'powers': [87, 32, 3], 'representative': 81826, 'size': 1331}
-
id: 108791949
{'aut_label': '55A-1', 'centralizer': '1331.a1', 'counter': 77, 'group_counter': 22, 'group_order': 146410, 'label': '55A-16', 'order': 55, 'powers': [86, 33, 4], 'representative': 80204, 'size': 1331}
-
id: 108791950
{'aut_label': '55A2', 'centralizer': '1331.a1', 'counter': 78, 'group_counter': 22, 'group_order': 146410, 'label': '55A17', 'order': 55, 'powers': [85, 33, 5], 'representative': 81722, 'size': 1331}
-
id: 108791951
{'aut_label': '55A-2', 'centralizer': '1331.a1', 'counter': 79, 'group_counter': 22, 'group_order': 146410, 'label': '55A-17', 'order': 55, 'powers': [84, 32, 6], 'representative': 80638, 'size': 1331}
-
id: 108791953
{'aut_label': '55A-2', 'centralizer': '1331.a1', 'counter': 80, 'group_counter': 22, 'group_order': 146410, 'label': '55A18', 'order': 55, 'powers': [83, 31, 6], 'representative': 98888, 'size': 1331}
-
id: 108791954
{'aut_label': '55A2', 'centralizer': '1331.a1', 'counter': 81, 'group_counter': 22, 'group_order': 146410, 'label': '55A-18', 'order': 55, 'powers': [82, 30, 5], 'representative': 4182, 'size': 1331}
-
id: 108791955
{'aut_label': '55A-1', 'centralizer': '1331.a1', 'counter': 82, 'group_counter': 22, 'group_order': 146410, 'label': '55A19', 'order': 55, 'powers': [79, 29, 4], 'representative': 3964, 'size': 1331}
-
id: 108791956
{'aut_label': '55A1', 'centralizer': '1331.a1', 'counter': 83, 'group_counter': 22, 'group_order': 146410, 'label': '55A-19', 'order': 55, 'powers': [78, 28, 3], 'representative': 54006, 'size': 1331}
-
id: 108791957
{'aut_label': '55A1', 'centralizer': '1331.a1', 'counter': 84, 'group_counter': 22, 'group_order': 146410, 'label': '55A21', 'order': 55, 'powers': [73, 25, 3], 'representative': 51496, 'size': 1331}
-
id: 108791958
{'aut_label': '55A-1', 'centralizer': '1331.a1', 'counter': 85, 'group_counter': 22, 'group_order': 146410, 'label': '55A-21', 'order': 55, 'powers': [72, 24, 4], 'representative': 117794, 'size': 1331}
-
id: 108791959
{'aut_label': '55A-2', 'centralizer': '1331.a1', 'counter': 86, 'group_counter': 22, 'group_order': 146410, 'label': '55A23', 'order': 55, 'powers': [69, 24, 6], 'representative': 70978, 'size': 1331}
-
id: 108791960
{'aut_label': '55A2', 'centralizer': '1331.a1', 'counter': 87, 'group_counter': 22, 'group_order': 146410, 'label': '55A-23', 'order': 55, 'powers': [68, 25, 5], 'representative': 23622, 'size': 1331}
-
id: 108791961
{'aut_label': '55A-1', 'centralizer': '1331.a1', 'counter': 88, 'group_counter': 22, 'group_order': 146410, 'label': '55A24', 'order': 55, 'powers': [65, 26, 4], 'representative': 72964, 'size': 1331}
-
id: 108791962
{'aut_label': '55A1', 'centralizer': '1331.a1', 'counter': 89, 'group_counter': 22, 'group_order': 146410, 'label': '55A-24', 'order': 55, 'powers': [64, 27, 3], 'representative': 30986, 'size': 1331}
-
id: 108791964
{'aut_label': '55A1', 'centralizer': '1331.a1', 'counter': 90, 'group_counter': 22, 'group_order': 146410, 'label': '55A26', 'order': 55, 'powers': [59, 30, 3], 'representative': 127756, 'size': 1331}
-
id: 108791965
{'aut_label': '55A-1', 'centralizer': '1331.a1', 'counter': 91, 'group_counter': 22, 'group_order': 146410, 'label': '55A-26', 'order': 55, 'powers': [58, 31, 4], 'representative': 62104, 'size': 1331}
-
id: 108791966
{'aut_label': '55A2', 'centralizer': '1331.a1', 'counter': 92, 'group_counter': 22, 'group_order': 146410, 'label': '55A27', 'order': 55, 'powers': [55, 32, 5], 'representative': 82882, 'size': 1331}
-
id: 108791967
{'aut_label': '55A-2', 'centralizer': '1331.a1', 'counter': 93, 'group_counter': 22, 'group_order': 146410, 'label': '55A-27', 'order': 55, 'powers': [54, 33, 6], 'representative': 83108, 'size': 1331}
-
id: 108791968
{'aut_label': '110A1', 'centralizer': '1331.a1', 'counter': 94, 'group_counter': 22, 'group_order': 146410, 'label': '110A1', 'order': 110, 'powers': [54, 44, 7], 'representative': 90423, 'size': 1331}
-
id: 108791969
{'aut_label': '110A-1', 'centralizer': '1331.a1', 'counter': 95, 'group_counter': 22, 'group_order': 146410, 'label': '110A-1', 'order': 110, 'powers': [55, 45, 8], 'representative': 90747, 'size': 1331}
-
id: 108791970
{'aut_label': '110A3', 'centralizer': '1331.a1', 'counter': 96, 'group_counter': 22, 'group_order': 146410, 'label': '110A3', 'order': 110, 'powers': [58, 46, 9], 'representative': 110229, 'size': 1331}
-
id: 108791971
{'aut_label': '110A-3', 'centralizer': '1331.a1', 'counter': 97, 'group_counter': 22, 'group_order': 146410, 'label': '110A-3', 'order': 110, 'powers': [59, 47, 10], 'representative': 45861, 'size': 1331}
-
id: 108791972
{'aut_label': '110A-3', 'centralizer': '1331.a1', 'counter': 98, 'group_counter': 22, 'group_order': 146410, 'label': '110A7', 'order': 110, 'powers': [64, 50, 10], 'representative': 142581, 'size': 1331}
-
id: 108791973
{'aut_label': '110A3', 'centralizer': '1331.a1', 'counter': 99, 'group_counter': 22, 'group_order': 146410, 'label': '110A-7', 'order': 110, 'powers': [65, 51, 9], 'representative': 99419, 'size': 1331}
-
id: 108791843
{'aut_label': '110A-1', 'centralizer': '1331.a1', 'counter': 100, 'group_counter': 22, 'group_order': 146410, 'label': '110A9', 'order': 110, 'powers': [68, 52, 8], 'representative': 3547, 'size': 1331}
-
id: 108791844
{'aut_label': '110A1', 'centralizer': '1331.a1', 'counter': 101, 'group_counter': 22, 'group_order': 146410, 'label': '110A-9', 'order': 110, 'powers': [69, 53, 7], 'representative': 102603, 'size': 1331}
-
id: 108791845
{'aut_label': '110A3', 'centralizer': '1331.a1', 'counter': 102, 'group_counter': 22, 'group_order': 146410, 'label': '110A13', 'order': 110, 'powers': [72, 53, 9], 'representative': 54599, 'size': 1331}
-
id: 108791846
{'aut_label': '110A-3', 'centralizer': '1331.a1', 'counter': 103, 'group_counter': 22, 'group_order': 146410, 'label': '110A-13', 'order': 110, 'powers': [73, 52, 10], 'representative': 122061, 'size': 1331}
-
id: 108791847
{'aut_label': '110A-3', 'centralizer': '1331.a1', 'counter': 104, 'group_counter': 22, 'group_order': 146410, 'label': '110A17', 'order': 110, 'powers': [78, 49, 10], 'representative': 119621, 'size': 1331}
-
id: 108791848
{'aut_label': '110A3', 'centralizer': '1331.a1', 'counter': 105, 'group_counter': 22, 'group_order': 146410, 'label': '110A-17', 'order': 110, 'powers': [79, 48, 9], 'representative': 21949, 'size': 1331}
-
id: 108791849
{'aut_label': '110A-1', 'centralizer': '1331.a1', 'counter': 106, 'group_counter': 22, 'group_order': 146410, 'label': '110A19', 'order': 110, 'powers': [82, 47, 8], 'representative': 22937, 'size': 1331}
-
id: 108791850
{'aut_label': '110A1', 'centralizer': '1331.a1', 'counter': 107, 'group_counter': 22, 'group_order': 146410, 'label': '110A-19', 'order': 110, 'powers': [83, 46, 7], 'representative': 74743, 'size': 1331}
-
id: 108791851
{'aut_label': '110A1', 'centralizer': '1331.a1', 'counter': 108, 'group_counter': 22, 'group_order': 146410, 'label': '110A21', 'order': 110, 'powers': [84, 45, 7], 'representative': 92903, 'size': 1331}
-
id: 108791852
{'aut_label': '110A-1', 'centralizer': '1331.a1', 'counter': 109, 'group_counter': 22, 'group_order': 146410, 'label': '110A-21', 'order': 110, 'powers': [85, 44, 8], 'representative': 91897, 'size': 1331}
-
id: 108791854
{'aut_label': '110A3', 'centralizer': '1331.a1', 'counter': 110, 'group_counter': 22, 'group_order': 146410, 'label': '110A23', 'order': 110, 'powers': [86, 44, 9], 'representative': 92139, 'size': 1331}
-
id: 108791855
{'aut_label': '110A-3', 'centralizer': '1331.a1', 'counter': 111, 'group_counter': 22, 'group_order': 146410, 'label': '110A-23', 'order': 110, 'powers': [87, 45, 10], 'representative': 91781, 'size': 1331}
-
id: 108791856
{'aut_label': '110A-3', 'centralizer': '1331.a1', 'counter': 112, 'group_counter': 22, 'group_order': 146410, 'label': '110A27', 'order': 110, 'powers': [92, 48, 10], 'representative': 109971, 'size': 1331}
-
id: 108791857
{'aut_label': '110A3', 'centralizer': '1331.a1', 'counter': 113, 'group_counter': 22, 'group_order': 146410, 'label': '110A-27', 'order': 110, 'powers': [93, 49, 9], 'representative': 24339, 'size': 1331}
-
id: 108791858
{'aut_label': '110A-1', 'centralizer': '1331.a1', 'counter': 114, 'group_counter': 22, 'group_order': 146410, 'label': '110A29', 'order': 110, 'powers': [91, 50, 8], 'representative': 122187, 'size': 1331}
-
id: 108791859
{'aut_label': '110A1', 'centralizer': '1331.a1', 'counter': 115, 'group_counter': 22, 'group_order': 146410, 'label': '110A-29', 'order': 110, 'powers': [90, 51, 7], 'representative': 6953, 'size': 1331}
-
id: 108791860
{'aut_label': '110A1', 'centralizer': '1331.a1', 'counter': 116, 'group_counter': 22, 'group_order': 146410, 'label': '110A31', 'order': 110, 'powers': [89, 52, 7], 'representative': 94143, 'size': 1331}
-
id: 108791861
{'aut_label': '110A-1', 'centralizer': '1331.a1', 'counter': 117, 'group_counter': 22, 'group_order': 146410, 'label': '110A-31', 'order': 110, 'powers': [88, 53, 8], 'representative': 5957, 'size': 1331}
-
id: 108791862
{'aut_label': '110A-3', 'centralizer': '1331.a1', 'counter': 118, 'group_counter': 22, 'group_order': 146410, 'label': '110A37', 'order': 110, 'powers': [81, 51, 10], 'representative': 140141, 'size': 1331}
-
id: 108791863
{'aut_label': '110A3', 'centralizer': '1331.a1', 'counter': 119, 'group_counter': 22, 'group_order': 146410, 'label': '110A-37', 'order': 110, 'powers': [80, 50, 9], 'representative': 93389, 'size': 1331}
-
id: 108791865
{'aut_label': '110A-1', 'centralizer': '1331.a1', 'counter': 120, 'group_counter': 22, 'group_order': 146410, 'label': '110A39', 'order': 110, 'powers': [77, 49, 8], 'representative': 34987, 'size': 1331}
-
id: 108791866
{'aut_label': '110A1', 'centralizer': '1331.a1', 'counter': 121, 'group_counter': 22, 'group_order': 146410, 'label': '110A-39', 'order': 110, 'powers': [76, 48, 7], 'representative': 45753, 'size': 1331}
-
id: 108791867
{'aut_label': '110A1', 'centralizer': '1331.a1', 'counter': 122, 'group_counter': 22, 'group_order': 146410, 'label': '110A41', 'order': 110, 'powers': [75, 47, 7], 'representative': 68653, 'size': 1331}
-
id: 108791868
{'aut_label': '110A-1', 'centralizer': '1331.a1', 'counter': 123, 'group_counter': 22, 'group_order': 146410, 'label': '110A-41', 'order': 110, 'powers': [74, 46, 8], 'representative': 26607, 'size': 1331}
-
id: 108791869
{'aut_label': '110A3', 'centralizer': '1331.a1', 'counter': 124, 'group_counter': 22, 'group_order': 146410, 'label': '110A43', 'order': 110, 'powers': [71, 45, 9], 'representative': 87249, 'size': 1331}
-
id: 108791870
{'aut_label': '110A-3', 'centralizer': '1331.a1', 'counter': 125, 'group_counter': 22, 'group_order': 146410, 'label': '110A-43', 'order': 110, 'powers': [70, 44, 10], 'representative': 84571, 'size': 1331}
-
id: 108791871
{'aut_label': '110A-3', 'centralizer': '1331.a1', 'counter': 126, 'group_counter': 22, 'group_order': 146410, 'label': '110A47', 'order': 110, 'powers': [67, 46, 10], 'representative': 50631, 'size': 1331}
-
id: 108791872
{'aut_label': '110A3', 'centralizer': '1331.a1', 'counter': 127, 'group_counter': 22, 'group_order': 146410, 'label': '110A-47', 'order': 110, 'powers': [66, 47, 9], 'representative': 109089, 'size': 1331}
-
id: 108791873
{'aut_label': '110A-1', 'centralizer': '1331.a1', 'counter': 128, 'group_counter': 22, 'group_order': 146410, 'label': '110A49', 'order': 110, 'powers': [63, 48, 8], 'representative': 27757, 'size': 1331}
-
id: 108791874
{'aut_label': '110A1', 'centralizer': '1331.a1', 'counter': 129, 'group_counter': 22, 'group_order': 146410, 'label': '110A-49', 'order': 110, 'powers': [62, 49, 7], 'representative': 44513, 'size': 1331}
-
id: 108791876
{'aut_label': '110A1', 'centralizer': '1331.a1', 'counter': 130, 'group_counter': 22, 'group_order': 146410, 'label': '110A51', 'order': 110, 'powers': [61, 50, 7], 'representative': 3343, 'size': 1331}
-
id: 108791877
{'aut_label': '110A-1', 'centralizer': '1331.a1', 'counter': 131, 'group_counter': 22, 'group_order': 146410, 'label': '110A-51', 'order': 110, 'powers': [60, 51, 8], 'representative': 127007, 'size': 1331}
-
id: 108791878
{'aut_label': '110A3', 'centralizer': '1331.a1', 'counter': 132, 'group_counter': 22, 'group_order': 146410, 'label': '110A53', 'order': 110, 'powers': [57, 52, 9], 'representative': 58239, 'size': 1331}
-
id: 108791879
{'aut_label': '110A-3', 'centralizer': '1331.a1', 'counter': 133, 'group_counter': 22, 'group_order': 146410, 'label': '110A-53', 'order': 110, 'powers': [56, 53, 10], 'representative': 120841, 'size': 1331}
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gps_qchar • Show schema
Hide schema
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id: 4011554
{'cdim': 1, 'counter': 1, 'faithful': False, 'group': '146410.v', 'group_order': 146410, 'image': None, 'label': '146410.v.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], 'schur_index': 1}
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id: 4011565
{'cdim': 1, 'counter': 2, 'faithful': False, 'group': '146410.v', 'group_order': 146410, 'image': None, 'label': '146410.v.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], 'schur_index': 1}
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id: 4011569
{'cdim': 1, 'counter': 3, 'faithful': False, 'group': '146410.v', 'group_order': 146410, 'image': None, 'label': '146410.v.1c', 'multiplicity': 4, 'nt': [5, 1], 'qdim': 4, 'qvalues': [4, 4, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 4011570
{'cdim': 1, 'counter': 4, 'faithful': False, 'group': '146410.v', 'group_order': 146410, 'image': None, 'label': '146410.v.1d', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, -4, -1, -1, -1, -1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 4011571
{'cdim': 1, 'counter': 5, 'faithful': False, 'group': '146410.v', 'group_order': 146410, 'image': None, 'label': '146410.v.1e', 'multiplicity': 10, 'nt': [11, 1], 'qdim': 10, 'qvalues': [10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 4011572
{'cdim': 1, 'counter': 6, 'faithful': False, 'group': '146410.v', 'group_order': 146410, 'image': None, 'label': '146410.v.1f', 'multiplicity': 10, 'nt': [22, 1], 'qdim': 10, 'qvalues': [10, -10, 10, 10, 10, 10, -10, -10, -10, -10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 4011575
{'cdim': 10, 'counter': 9, 'faithful': False, 'group': '146410.v', 'group_order': 146410, 'image': None, 'label': '146410.v.10a', 'multiplicity': 1, 'nt': [11, 4], 'qdim': 10, 'qvalues': [10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, -1, -1, -1, -1, -1, -1, -1, 10, -1, -1, -1, -1, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4011573
{'cdim': 1, 'counter': 7, 'faithful': False, 'group': '146410.v', 'group_order': 146410, 'image': None, 'label': '146410.v.1g', 'multiplicity': 40, 'nt': [55, 0], 'qdim': 40, 'qvalues': [40, 40, -10, -10, -10, -10, -10, -10, -10, -10, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 4011574
{'cdim': 1, 'counter': 8, 'faithful': False, 'group': '146410.v', 'group_order': 146410, 'image': None, 'label': '146410.v.1h', 'multiplicity': 40, 'nt': [110, 0], 'qdim': 40, 'qvalues': [40, -40, -10, -10, -10, -10, 10, 10, 10, 10, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 4011555
{'cdim': 10, 'counter': 10, 'faithful': False, 'group': '146410.v', 'group_order': 146410, 'image': None, 'label': '146410.v.10b', 'multiplicity': 10, 'nt': [110, 0], 'qdim': 100, 'qvalues': [100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 100, -10, -10, -10, -10, -10, -10, -10, 100, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4011556
{'cdim': 110, 'counter': 11, 'faithful': True, 'group': '146410.v', 'group_order': 146410, 'image': None, 'label': '146410.v.110a', 'multiplicity': 1, 'nt': [121, 0], 'qdim': 110, 'qvalues': [110, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11, -11, -11, 11, -11, 11, 0, 11, 0, 11, 11, -11, -11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4011557
{'cdim': 110, 'counter': 12, 'faithful': True, 'group': '146410.v', 'group_order': 146410, 'image': None, 'label': '146410.v.110b', 'multiplicity': 1, 'nt': [121, 0], 'qdim': 110, 'qvalues': [110, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11, -11, -11, 11, 11, 0, -11, 11, 0, -11, -11, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4011558
{'cdim': 110, 'counter': 13, 'faithful': True, 'group': '146410.v', 'group_order': 146410, 'image': None, 'label': '146410.v.110c', 'multiplicity': 1, 'nt': [121, 0], 'qdim': 110, 'qvalues': [110, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11, -11, 11, -11, -11, 11, -11, -11, 0, 0, 11, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4011559
{'cdim': 110, 'counter': 14, 'faithful': True, 'group': '146410.v', 'group_order': 146410, 'image': None, 'label': '146410.v.110d', 'multiplicity': 1, 'nt': [121, 0], 'qdim': 110, 'qvalues': [110, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11, -11, 11, -11, 11, -11, 11, 11, 0, -11, 11, 0, -11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4011560
{'cdim': 110, 'counter': 15, 'faithful': True, 'group': '146410.v', 'group_order': 146410, 'image': None, 'label': '146410.v.110e', 'multiplicity': 1, 'nt': [121, 0], 'qdim': 110, 'qvalues': [110, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11, -11, 11, 11, 0, -11, 11, -11, 0, 11, -11, -11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4011561
{'cdim': 110, 'counter': 16, 'faithful': True, 'group': '146410.v', 'group_order': 146410, 'image': None, 'label': '146410.v.110f', 'multiplicity': 1, 'nt': [121, 0], 'qdim': 110, 'qvalues': [110, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11, 0, -11, -11, 11, 11, 11, -11, 0, 11, -11, 11, -11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4011562
{'cdim': 110, 'counter': 17, 'faithful': True, 'group': '146410.v', 'group_order': 146410, 'image': None, 'label': '146410.v.110g', 'multiplicity': 1, 'nt': [121, 0], 'qdim': 110, 'qvalues': [110, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11, 11, -11, -11, 11, -11, -11, 0, 0, 11, 11, -11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4011563
{'cdim': 110, 'counter': 18, 'faithful': True, 'group': '146410.v', 'group_order': 146410, 'image': None, 'label': '146410.v.110h', 'multiplicity': 1, 'nt': [121, 0], 'qdim': 110, 'qvalues': [110, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11, 11, -11, 11, -11, -11, 11, -11, 0, -11, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4011564
{'cdim': 110, 'counter': 19, 'faithful': True, 'group': '146410.v', 'group_order': 146410, 'image': None, 'label': '146410.v.110i', 'multiplicity': 1, 'nt': [121, 0], 'qdim': 110, 'qvalues': [110, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11, 11, 0, -11, -11, 11, 11, 11, 0, -11, -11, -11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4011566
{'cdim': 110, 'counter': 20, 'faithful': True, 'group': '146410.v', 'group_order': 146410, 'image': None, 'label': '146410.v.110j', 'multiplicity': 1, 'nt': [121, 0], 'qdim': 110, 'qvalues': [110, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11, 11, 11, 0, -11, -11, -11, 11, 0, 11, -11, 11, -11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4011567
{'cdim': 110, 'counter': 21, 'faithful': True, 'group': '146410.v', 'group_order': 146410, 'image': None, 'label': '146410.v.110k', 'multiplicity': 1, 'nt': [121, 0], 'qdim': 110, 'qvalues': [110, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11, 11, 11, 11, 11, 11, -11, -11, 0, -11, 0, -11, -11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4011568
{'cdim': 110, 'counter': 22, 'faithful': False, 'group': '146410.v', 'group_order': 146410, 'image': None, 'label': '146410.v.110l', 'multiplicity': 1, 'nt': [121, 0], 'qdim': 110, 'qvalues': [110, 0, 0, 0, 0, 0, 0, 0, 0, 0, 110, 0, 0, 0, 0, 0, 0, 0, -11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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gps_char • Show schema
Hide schema
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id: 5699538
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id: 5699583
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id: 5699594
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 3, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1', 'kernel_order': 29282, 'label': '146410.v.1c1', 'nt': [5, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]]]}
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id: 5699605
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 4, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1', 'kernel_order': 29282, 'label': '146410.v.1c2', 'nt': [5, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]]]}
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id: 5699616
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 5, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1', 'kernel_order': 29282, 'label': '146410.v.1c3', 'nt': [5, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]]]}
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id: 5699627
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 6, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1', 'kernel_order': 29282, 'label': '146410.v.1c4', 'nt': [5, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]]]}
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id: 5699638
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 7, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1', 'kernel_order': 14641, 'label': '146410.v.1d1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 1]]]}
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id: 5699649
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 8, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1', 'kernel_order': 14641, 'label': '146410.v.1d2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -1]]]}
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id: 5699660
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 9, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1', 'kernel_order': 14641, 'label': '146410.v.1d3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -2]]]}
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id: 5699539
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id: 5699550
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id: 5699584
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 20, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '11.1', 'image_order': 11, 'indicator': 0, 'kernel': '11.a1', 'kernel_order': 13310, 'label': '146410.v.1e10', 'nt': [11, 10], '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, 1]], [[1, 5]], [[1, -5]], [[1, -2]], [[1, -3]], [[1, 3]], [[1, -4]], [[1, 4]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -3]], [[1, 3]], [[1, 4]], [[1, -4]], [[1, -5]], [[1, 5]], [[1, 2]], [[1, 3]], [[1, 4]], [[1, -5]], [[1, -2]], [[1, -4]], [[1, 5]], [[1, -3]], [[1, -1]], [[1, 1]], [[1, 5]], [[1, 5]], [[1, 2]], [[1, -5]], [[1, 1]], [[1, 4]], [[1, 4]], [[1, -4]], [[1, -5]], [[1, 2]], [[1, 4]], [[1, -3]], [[1, 3]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -5]], [[1, 3]], [[1, 5]], [[1, -4]], [[1, 2]], [[1, -5]], [[1, -1]], [[1, -4]], [[1, 2]], [[1, -3]], [[1, 5]], [[1, 3]], [[1, -2]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, 3]], [[1, -3]], [[1, -3]], [[1, -3]], [[1, 5]], [[1, 1]], [[1, 1]], [[1, -4]], [[1, 1]], [[1, 3]], [[1, 2]], [[1, 2]], [[1, -3]], [[1, -5]], [[1, -4]], [[1, -1]], [[1, -5]], [[1, -5]], [[1, -5]], [[1, -4]], [[1, -1]], [[1, -4]], [[1, -3]], [[1, 5]], [[1, 5]], [[1, -3]], [[1, -2]], [[1, 4]], [[1, 5]], [[1, -2]], [[1, 3]], [[1, 3]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 3]], [[1, 4]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 4]], [[1, 4]]]}
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id: 5699561
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 12, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '11.1', 'image_order': 11, 'indicator': 0, 'kernel': '11.a1', 'kernel_order': 13310, 'label': '146410.v.1e2', 'nt': [11, 10], '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, 5]], [[1, 3]], [[1, -3]], [[1, 1]], [[1, -4]], [[1, 4]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -5]], [[1, 1]], [[1, 5]], [[1, -5]], [[1, -1]], [[1, -4]], [[1, 4]], [[1, -2]], [[1, 2]], [[1, -3]], [[1, 3]], [[1, -1]], [[1, 4]], [[1, -2]], [[1, -3]], [[1, 1]], [[1, 2]], [[1, 3]], [[1, -4]], [[1, -5]], [[1, 5]], [[1, 3]], [[1, 3]], [[1, -1]], [[1, -3]], [[1, 5]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, -4]], [[1, 4]], [[1, 5]], [[1, -5]], [[1, 1]], [[1, 5]], [[1, 1]], [[1, -5]], [[1, -3]], [[1, 4]], [[1, 3]], [[1, 2]], [[1, -1]], [[1, -3]], [[1, -5]], [[1, 2]], [[1, -1]], [[1, -4]], [[1, 3]], [[1, 4]], [[1, 1]], [[1, 2]], [[1, 5]], [[1, -2]], [[1, 1]], [[1, -5]], [[1, 4]], [[1, -4]], [[1, -4]], [[1, -4]], [[1, 3]], [[1, 5]], [[1, 5]], [[1, 2]], [[1, 5]], [[1, 4]], [[1, -1]], [[1, -1]], [[1, -4]], [[1, -3]], [[1, 2]], [[1, -5]], [[1, -3]], [[1, -3]], [[1, -3]], [[1, 2]], [[1, -5]], [[1, 2]], [[1, -4]], [[1, 3]], [[1, 3]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, 3]], [[1, 1]], [[1, 4]], [[1, 4]], [[1, -5]], [[1, -5]], [[1, -1]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, 5]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]]]}
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id: 5699572
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 13, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '11.1', 'image_order': 11, 'indicator': 0, 'kernel': '11.a1', 'kernel_order': 13310, 'label': '146410.v.1e3', 'nt': [11, 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, -4]], [[1, 2]], [[1, -2]], [[1, -3]], [[1, 1]], [[1, -1]], [[1, 5]], [[1, -5]], [[1, 3]], [[1, 4]], [[1, -3]], [[1, -4]], [[1, 4]], [[1, 3]], [[1, 1]], [[1, -1]], [[1, -5]], [[1, 5]], [[1, -2]], [[1, 2]], [[1, 3]], [[1, -1]], [[1, -5]], [[1, -2]], [[1, -3]], [[1, 5]], [[1, 2]], [[1, 1]], [[1, 4]], [[1, -4]], [[1, 2]], [[1, 2]], [[1, 3]], [[1, -2]], [[1, -4]], [[1, -5]], [[1, -5]], [[1, 5]], [[1, -2]], [[1, 3]], [[1, -5]], [[1, 1]], [[1, -1]], [[1, -4]], [[1, 4]], [[1, -3]], [[1, -4]], [[1, -3]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 5]], [[1, 3]], [[1, -2]], [[1, 4]], [[1, 5]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -3]], [[1, 5]], [[1, -4]], [[1, -5]], [[1, -3]], [[1, 4]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, -4]], [[1, 5]], [[1, -4]], [[1, -1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, -2]], [[1, 5]], [[1, 4]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 5]], [[1, 4]], [[1, 5]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -3]], [[1, -5]], [[1, 2]], [[1, -3]], [[1, -1]], [[1, -1]], [[1, 4]], [[1, 4]], [[1, 3]], [[1, -1]], [[1, -5]], [[1, 3]], [[1, -4]], [[1, -3]], [[1, -3]], [[1, -5]], [[1, -5]]]}
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id: 5699577
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 14, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '11.1', 'image_order': 11, 'indicator': 0, 'kernel': '11.a1', 'kernel_order': 13310, 'label': '146410.v.1e4', 'nt': [11, 10], '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, 4]], [[1, -2]], [[1, 2]], [[1, 3]], [[1, -1]], [[1, 1]], [[1, -5]], [[1, 5]], [[1, -3]], [[1, -4]], [[1, 3]], [[1, 4]], [[1, -4]], [[1, -3]], [[1, -1]], [[1, 1]], [[1, 5]], [[1, -5]], [[1, 2]], [[1, -2]], [[1, -3]], [[1, 1]], [[1, 5]], [[1, 2]], [[1, 3]], [[1, -5]], [[1, -2]], [[1, -1]], [[1, -4]], [[1, 4]], [[1, -2]], [[1, -2]], [[1, -3]], [[1, 2]], [[1, 4]], [[1, 5]], [[1, 5]], [[1, -5]], [[1, 2]], [[1, -3]], [[1, 5]], [[1, -1]], [[1, 1]], [[1, 4]], [[1, -4]], [[1, 3]], [[1, 4]], [[1, 3]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -5]], [[1, -3]], [[1, 2]], [[1, -4]], [[1, -5]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 3]], [[1, -5]], [[1, 4]], [[1, 5]], [[1, 3]], [[1, -4]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, 4]], [[1, -5]], [[1, 4]], [[1, 1]], [[1, -3]], [[1, -3]], [[1, -1]], [[1, 2]], [[1, -5]], [[1, -4]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -5]], [[1, -4]], [[1, -5]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 3]], [[1, 5]], [[1, -2]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, -4]], [[1, -4]], [[1, -3]], [[1, 1]], [[1, 5]], [[1, -3]], [[1, 4]], [[1, 3]], [[1, 3]], [[1, 5]], [[1, 5]]]}
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id: 5699578
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 15, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '11.1', 'image_order': 11, 'indicator': 0, 'kernel': '11.a1', 'kernel_order': 13310, 'label': '146410.v.1e5', 'nt': [11, 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, -3]], [[1, -4]], [[1, 4]], [[1, -5]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 5]], [[1, 3]], [[1, -5]], [[1, -3]], [[1, 3]], [[1, 5]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 4]], [[1, -4]], [[1, 5]], [[1, 2]], [[1, -1]], [[1, 4]], [[1, -5]], [[1, 1]], [[1, -4]], [[1, -2]], [[1, 3]], [[1, -3]], [[1, -4]], [[1, -4]], [[1, 5]], [[1, 4]], [[1, -3]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 4]], [[1, 5]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -3]], [[1, 3]], [[1, -5]], [[1, -3]], [[1, -5]], [[1, 3]], [[1, 4]], [[1, 2]], [[1, -4]], [[1, 1]], [[1, 5]], [[1, 4]], [[1, 3]], [[1, 1]], [[1, 5]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, -5]], [[1, 1]], [[1, -3]], [[1, -1]], [[1, -5]], [[1, 3]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -4]], [[1, -3]], [[1, -3]], [[1, 1]], [[1, -3]], [[1, 2]], [[1, 5]], [[1, 5]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, 3]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, -2]], [[1, -4]], [[1, -4]], [[1, -2]], [[1, -5]], [[1, -1]], [[1, -4]], [[1, -5]], [[1, 2]], [[1, 2]], [[1, 3]], [[1, 3]], [[1, 5]], [[1, 2]], [[1, -1]], [[1, 5]], [[1, -3]], [[1, -5]], [[1, -5]], [[1, -1]], [[1, -1]]]}
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id: 5699579
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 16, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '11.1', 'image_order': 11, 'indicator': 0, 'kernel': '11.a1', 'kernel_order': 13310, 'label': '146410.v.1e6', 'nt': [11, 10], '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, 3]], [[1, 4]], [[1, -4]], [[1, 5]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -5]], [[1, -3]], [[1, 5]], [[1, 3]], [[1, -3]], [[1, -5]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -4]], [[1, 4]], [[1, -5]], [[1, -2]], [[1, 1]], [[1, -4]], [[1, 5]], [[1, -1]], [[1, 4]], [[1, 2]], [[1, -3]], [[1, 3]], [[1, 4]], [[1, 4]], [[1, -5]], [[1, -4]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -4]], [[1, -5]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 3]], [[1, -3]], [[1, 5]], [[1, 3]], [[1, 5]], [[1, -3]], [[1, -4]], [[1, -2]], [[1, 4]], [[1, -1]], [[1, -5]], [[1, -4]], [[1, -3]], [[1, -1]], [[1, -5]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, 5]], [[1, -1]], [[1, 3]], [[1, 1]], [[1, 5]], [[1, -3]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 4]], [[1, 3]], [[1, 3]], [[1, -1]], [[1, 3]], [[1, -2]], [[1, -5]], [[1, -5]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, -3]], [[1, -4]], [[1, -4]], [[1, -4]], [[1, -1]], [[1, -3]], [[1, -1]], [[1, 2]], [[1, 4]], [[1, 4]], [[1, 2]], [[1, 5]], [[1, 1]], [[1, 4]], [[1, 5]], [[1, -2]], [[1, -2]], [[1, -3]], [[1, -3]], [[1, -5]], [[1, -2]], [[1, 1]], [[1, -5]], [[1, 3]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 1]]]}
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id: 5699580
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id: 5699581
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id: 5699582
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 19, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '11.1', 'image_order': 11, 'indicator': 0, 'kernel': '11.a1', 'kernel_order': 13310, 'label': '146410.v.1e9', 'nt': [11, 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, -1]], [[1, -5]], [[1, 5]], [[1, 2]], [[1, 3]], [[1, -3]], [[1, 4]], [[1, -4]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 3]], [[1, -3]], [[1, -4]], [[1, 4]], [[1, 5]], [[1, -5]], [[1, -2]], [[1, -3]], [[1, -4]], [[1, 5]], [[1, 2]], [[1, 4]], [[1, -5]], [[1, 3]], [[1, 1]], [[1, -1]], [[1, -5]], [[1, -5]], [[1, -2]], [[1, 5]], [[1, -1]], [[1, -4]], [[1, -4]], [[1, 4]], [[1, 5]], [[1, -2]], [[1, -4]], [[1, 3]], [[1, -3]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 5]], [[1, -3]], [[1, -5]], [[1, 4]], [[1, -2]], [[1, 5]], [[1, 1]], [[1, 4]], [[1, -2]], [[1, 3]], [[1, -5]], [[1, -3]], [[1, 2]], [[1, 4]], [[1, -1]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, -3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, -5]], [[1, -1]], [[1, -1]], [[1, 4]], [[1, -1]], [[1, -3]], [[1, -2]], [[1, -2]], [[1, 3]], [[1, 5]], [[1, 4]], [[1, 1]], [[1, 5]], [[1, 5]], [[1, 5]], [[1, 4]], [[1, 1]], [[1, 4]], [[1, 3]], [[1, -5]], [[1, -5]], [[1, 3]], [[1, 2]], [[1, -4]], [[1, -5]], [[1, 2]], [[1, -3]], [[1, -3]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -3]], [[1, -4]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -4]], [[1, -4]]]}
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id: 5699585
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 21, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '22.2', 'image_order': 22, 'indicator': 0, 'kernel': '22.a1', 'kernel_order': 6655, 'label': '146410.v.1f1', 'nt': [22, 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, -5]], [[1, -3]], [[1, 3]], [[1, -1]], [[1, 4]], [[1, -4]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 5]], [[1, -1]], [[1, -5]], [[1, 5]], [[1, 1]], [[1, 4]], [[1, -4]], [[1, 2]], [[1, -2]], [[1, 3]], [[1, -3]], [[-1, 1]], [[-1, -4]], [[-1, 2]], [[-1, 3]], [[-1, -1]], [[-1, -2]], [[-1, -3]], [[-1, 4]], [[-1, 5]], [[-1, -5]], [[1, -3]], [[1, -3]], [[1, 1]], [[1, 3]], [[1, -5]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, 4]], [[1, -4]], [[1, -5]], [[1, 5]], [[1, -1]], [[1, -5]], [[1, -1]], [[1, 5]], [[1, 3]], [[1, -4]], [[1, -3]], [[1, -2]], [[1, 1]], [[1, 3]], [[1, 5]], [[1, -2]], [[1, 1]], [[1, 4]], [[1, -3]], [[1, -4]], [[1, -1]], [[1, -2]], [[1, -5]], [[1, 2]], [[1, -1]], [[1, 5]], [[1, -4]], [[1, 4]], [[1, 4]], [[-1, 4]], [[-1, -3]], [[-1, -5]], [[-1, -5]], [[-1, -2]], [[-1, -5]], [[-1, -4]], [[-1, 1]], [[-1, 1]], [[-1, 4]], [[-1, 3]], [[-1, -2]], [[-1, 5]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, -2]], [[-1, 5]], [[-1, -2]], [[-1, 4]], [[-1, -3]], [[-1, -3]], [[-1, 4]], [[-1, -1]], [[-1, 2]], [[-1, -3]], [[-1, -1]], [[-1, -4]], [[-1, -4]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[-1, -4]], [[-1, 2]], [[-1, 1]], [[-1, -5]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 2]]]}
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id: 5699595
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 30, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '22.2', 'image_order': 22, 'indicator': 0, 'kernel': '22.a1', 'kernel_order': 6655, 'label': '146410.v.1f10', 'nt': [22, 10], '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, 1]], [[1, 5]], [[1, -5]], [[1, -2]], [[1, -3]], [[1, 3]], [[1, -4]], [[1, 4]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -3]], [[1, 3]], [[1, 4]], [[1, -4]], [[1, -5]], [[1, 5]], [[-1, 2]], [[-1, 3]], [[-1, 4]], [[-1, -5]], [[-1, -2]], [[-1, -4]], [[-1, 5]], [[-1, -3]], [[-1, -1]], [[-1, 1]], [[1, 5]], [[1, 5]], [[1, 2]], [[1, -5]], [[1, 1]], [[1, 4]], [[1, 4]], [[1, -4]], [[1, -5]], [[1, 2]], [[1, 4]], [[1, -3]], [[1, 3]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -5]], [[1, 3]], [[1, 5]], [[1, -4]], [[1, 2]], [[1, -5]], [[1, -1]], [[1, -4]], [[1, 2]], [[1, -3]], [[1, 5]], [[1, 3]], [[1, -2]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, 3]], [[1, -3]], [[1, -3]], [[-1, -3]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[-1, -4]], [[-1, 1]], [[-1, 3]], [[-1, 2]], [[-1, 2]], [[-1, -3]], [[-1, -5]], [[-1, -4]], [[-1, -1]], [[-1, -5]], [[-1, -5]], [[-1, -5]], [[-1, -4]], [[-1, -1]], [[-1, -4]], [[-1, -3]], [[-1, 5]], [[-1, 5]], [[-1, -3]], [[-1, -2]], [[-1, 4]], [[-1, 5]], [[-1, -2]], [[-1, 3]], [[-1, 3]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 3]], [[-1, 4]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 4]], [[-1, 4]]]}
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id: 5699586
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 22, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '22.2', 'image_order': 22, 'indicator': 0, 'kernel': '22.a1', 'kernel_order': 6655, 'label': '146410.v.1f2', 'nt': [22, 10], '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, 5]], [[1, 3]], [[1, -3]], [[1, 1]], [[1, -4]], [[1, 4]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -5]], [[1, 1]], [[1, 5]], [[1, -5]], [[1, -1]], [[1, -4]], [[1, 4]], [[1, -2]], [[1, 2]], [[1, -3]], [[1, 3]], [[-1, -1]], [[-1, 4]], [[-1, -2]], [[-1, -3]], [[-1, 1]], [[-1, 2]], [[-1, 3]], [[-1, -4]], [[-1, -5]], [[-1, 5]], [[1, 3]], [[1, 3]], [[1, -1]], [[1, -3]], [[1, 5]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, -4]], [[1, 4]], [[1, 5]], [[1, -5]], [[1, 1]], [[1, 5]], [[1, 1]], [[1, -5]], [[1, -3]], [[1, 4]], [[1, 3]], [[1, 2]], [[1, -1]], [[1, -3]], [[1, -5]], [[1, 2]], [[1, -1]], [[1, -4]], [[1, 3]], [[1, 4]], [[1, 1]], [[1, 2]], [[1, 5]], [[1, -2]], [[1, 1]], [[1, -5]], [[1, 4]], [[1, -4]], [[1, -4]], [[-1, -4]], [[-1, 3]], [[-1, 5]], [[-1, 5]], [[-1, 2]], [[-1, 5]], [[-1, 4]], [[-1, -1]], [[-1, -1]], [[-1, -4]], [[-1, -3]], [[-1, 2]], [[-1, -5]], [[-1, -3]], [[-1, -3]], [[-1, -3]], [[-1, 2]], [[-1, -5]], [[-1, 2]], [[-1, -4]], [[-1, 3]], [[-1, 3]], [[-1, -4]], [[-1, 1]], [[-1, -2]], [[-1, 3]], [[-1, 1]], [[-1, 4]], [[-1, 4]], [[-1, -5]], [[-1, -5]], [[-1, -1]], [[-1, 4]], [[-1, -2]], [[-1, -1]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -2]]]}
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id: 5699587
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 23, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '22.2', 'image_order': 22, 'indicator': 0, 'kernel': '22.a1', 'kernel_order': 6655, 'label': '146410.v.1f3', 'nt': [22, 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, -4]], [[1, 2]], [[1, -2]], [[1, -3]], [[1, 1]], [[1, -1]], [[1, 5]], [[1, -5]], [[1, 3]], [[1, 4]], [[1, -3]], [[1, -4]], [[1, 4]], [[1, 3]], [[1, 1]], [[1, -1]], [[1, -5]], [[1, 5]], [[1, -2]], [[1, 2]], [[-1, 3]], [[-1, -1]], [[-1, -5]], [[-1, -2]], [[-1, -3]], [[-1, 5]], [[-1, 2]], [[-1, 1]], [[-1, 4]], [[-1, -4]], [[1, 2]], [[1, 2]], [[1, 3]], [[1, -2]], [[1, -4]], [[1, -5]], [[1, -5]], [[1, 5]], [[1, -2]], [[1, 3]], [[1, -5]], [[1, 1]], [[1, -1]], [[1, -4]], [[1, 4]], [[1, -3]], [[1, -4]], [[1, -3]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 5]], [[1, 3]], [[1, -2]], [[1, 4]], [[1, 5]], [[1, 3]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -3]], [[1, 5]], [[1, -4]], [[1, -5]], [[1, -3]], [[1, 4]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -4]], [[-1, -4]], [[-1, 5]], [[-1, -4]], [[-1, -1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, -2]], [[-1, 5]], [[-1, 4]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, 5]], [[-1, 4]], [[-1, 5]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -3]], [[-1, -5]], [[-1, 2]], [[-1, -3]], [[-1, -1]], [[-1, -1]], [[-1, 4]], [[-1, 4]], [[-1, 3]], [[-1, -1]], [[-1, -5]], [[-1, 3]], [[-1, -4]], [[-1, -3]], [[-1, -3]], [[-1, -5]], [[-1, -5]]]}
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id: 5699588
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 24, 'cyclotomic_n': 11, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '22.2', 'image_order': 22, 'indicator': 0, 'kernel': '22.a1', 'kernel_order': 6655, 'label': '146410.v.1f4', 'nt': [22, 10], '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, 4]], [[1, -2]], [[1, 2]], [[1, 3]], [[1, -1]], [[1, 1]], [[1, -5]], [[1, 5]], [[1, -3]], [[1, -4]], [[1, 3]], [[1, 4]], [[1, -4]], [[1, -3]], [[1, -1]], [[1, 1]], [[1, 5]], [[1, -5]], [[1, 2]], [[1, -2]], [[-1, -3]], [[-1, 1]], [[-1, 5]], [[-1, 2]], [[-1, 3]], [[-1, -5]], [[-1, -2]], [[-1, -1]], [[-1, -4]], [[-1, 4]], [[1, -2]], [[1, -2]], [[1, -3]], [[1, 2]], [[1, 4]], [[1, 5]], [[1, 5]], [[1, -5]], [[1, 2]], [[1, -3]], [[1, 5]], [[1, -1]], [[1, 1]], [[1, 4]], [[1, -4]], [[1, 3]], [[1, 4]], [[1, 3]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -5]], [[1, -3]], [[1, 2]], [[1, -4]], [[1, -5]], [[1, -3]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 3]], [[1, -5]], [[1, 4]], [[1, 5]], [[1, 3]], [[1, -4]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 4]], [[-1, 4]], [[-1, -5]], [[-1, 4]], [[-1, 1]], [[-1, -3]], [[-1, -3]], [[-1, -1]], [[-1, 2]], [[-1, -5]], [[-1, -4]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, -5]], [[-1, -4]], [[-1, -5]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 3]], [[-1, 5]], [[-1, -2]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, -4]], [[-1, -4]], [[-1, -3]], [[-1, 1]], [[-1, 5]], [[-1, -3]], [[-1, 4]], [[-1, 3]], [[-1, 3]], [[-1, 5]], [[-1, 5]]]}
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id: 5699589
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id: 5699590
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id: 5699591
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id: 5699592
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id: 5699593
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id: 5699596
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id: 5699606
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id: 5699607
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id: 5699608
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id: 5699609
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 43, 'cyclotomic_n': 55, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '55.2', 'image_order': 55, 'indicator': 0, 'kernel': '55.a1', 'kernel_order': 2662, 'label': '146410.v.1g13', 'nt': [55, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, -22]], [[1, 11]], [[1, -11]], [[1, 22]], [[1, 22]], [[1, -22]], [[1, -11]], [[1, 11]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -10]], [[1, 5]], [[1, -5]], [[1, 20]], [[1, -25]], [[1, 25]], [[1, -15]], [[1, 15]], [[1, -20]], [[1, 10]], [[1, 20]], [[1, -10]], [[1, 10]], [[1, -20]], [[1, -25]], [[1, 25]], [[1, 15]], [[1, -15]], [[1, -5]], [[1, 5]], [[1, -20]], [[1, 25]], [[1, 15]], [[1, -5]], [[1, 20]], [[1, -15]], [[1, 5]], [[1, -25]], [[1, 10]], [[1, -10]], [[1, -6]], [[1, -17]], [[1, 13]], [[1, 17]], [[1, -21]], [[1, 26]], [[1, -18]], [[1, 18]], [[1, 6]], [[1, 24]], [[1, 4]], [[1, -3]], [[1, 14]], [[1, 1]], [[1, -1]], [[1, -13]], [[1, 23]], [[1, -24]], [[1, -23]], [[1, -27]], [[1, -8]], [[1, 16]], [[1, 7]], [[1, 2]], [[1, -16]], [[1, -12]], [[1, -26]], [[1, -9]], [[1, 8]], [[1, 27]], [[1, -19]], [[1, 9]], [[1, -4]], [[1, 12]], [[1, -7]], [[1, -2]], [[1, 21]], [[1, 3]], [[1, 19]], [[1, -14]], [[1, 8]], [[1, 27]], [[1, 12]], [[1, 23]], [[1, 7]], [[1, -21]], [[1, 14]], [[1, -9]], [[1, 13]], [[1, -14]], [[1, 17]], [[1, 18]], [[1, -23]], [[1, -16]], [[1, -27]], [[1, 6]], [[1, -4]], [[1, -1]], [[1, -26]], [[1, 19]], [[1, 16]], [[1, -17]], [[1, -3]], [[1, -13]], [[1, -7]], [[1, -6]], [[1, 9]], [[1, 3]], [[1, -19]], [[1, 21]], [[1, -12]], [[1, 24]], [[1, -8]], [[1, -18]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -24]], [[1, 4]], [[1, 26]]]}
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id: 5699610
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 44, 'cyclotomic_n': 55, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '55.2', 'image_order': 55, 'indicator': 0, 'kernel': '55.a1', 'kernel_order': 2662, 'label': '146410.v.1g14', 'nt': [55, 40], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 22]], [[1, -11]], [[1, 11]], [[1, -22]], [[1, -22]], [[1, 22]], [[1, 11]], [[1, -11]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 10]], [[1, -5]], [[1, 5]], [[1, -20]], [[1, 25]], [[1, -25]], [[1, 15]], [[1, -15]], [[1, 20]], [[1, -10]], [[1, -20]], [[1, 10]], [[1, -10]], [[1, 20]], [[1, 25]], [[1, -25]], [[1, -15]], [[1, 15]], [[1, 5]], [[1, -5]], [[1, 20]], [[1, -25]], [[1, -15]], [[1, 5]], [[1, -20]], [[1, 15]], [[1, -5]], [[1, 25]], [[1, -10]], [[1, 10]], [[1, 6]], [[1, 17]], [[1, -13]], [[1, -17]], [[1, 21]], [[1, -26]], [[1, 18]], [[1, -18]], [[1, -6]], [[1, -24]], [[1, -4]], [[1, 3]], [[1, -14]], [[1, -1]], [[1, 1]], [[1, 13]], [[1, -23]], [[1, 24]], [[1, 23]], [[1, 27]], [[1, 8]], [[1, -16]], [[1, -7]], [[1, -2]], [[1, 16]], [[1, 12]], [[1, 26]], [[1, 9]], [[1, -8]], [[1, -27]], [[1, 19]], [[1, -9]], [[1, 4]], [[1, -12]], [[1, 7]], [[1, 2]], [[1, -21]], [[1, -3]], [[1, -19]], [[1, 14]], [[1, -8]], [[1, -27]], [[1, -12]], [[1, -23]], [[1, -7]], [[1, 21]], [[1, -14]], [[1, 9]], [[1, -13]], [[1, 14]], [[1, -17]], [[1, -18]], [[1, 23]], [[1, 16]], [[1, 27]], [[1, -6]], [[1, 4]], [[1, 1]], [[1, 26]], [[1, -19]], [[1, -16]], [[1, 17]], [[1, 3]], [[1, 13]], [[1, 7]], [[1, 6]], [[1, -9]], [[1, -3]], [[1, 19]], [[1, -21]], [[1, 12]], [[1, -24]], [[1, 8]], [[1, 18]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 24]], [[1, -4]], [[1, -26]]]}
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id: 5699611
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 45, 'cyclotomic_n': 55, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '55.2', 'image_order': 55, 'indicator': 0, 'kernel': '55.a1', 'kernel_order': 2662, 'label': '146410.v.1g15', 'nt': [55, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, -22]], [[1, 11]], [[1, -11]], [[1, 22]], [[1, 22]], [[1, -22]], [[1, -11]], [[1, 11]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 10]], [[1, -5]], [[1, 5]], [[1, -20]], [[1, 25]], [[1, -25]], [[1, 15]], [[1, -15]], [[1, 20]], [[1, -10]], [[1, -20]], [[1, 10]], [[1, -10]], [[1, 20]], [[1, 25]], [[1, -25]], [[1, -15]], [[1, 15]], [[1, 5]], [[1, -5]], [[1, 20]], [[1, -25]], [[1, -15]], [[1, 5]], [[1, -20]], [[1, 15]], [[1, -5]], [[1, 25]], [[1, -10]], [[1, 10]], [[1, -16]], [[1, -27]], [[1, -2]], [[1, 27]], [[1, -1]], [[1, -4]], [[1, 7]], [[1, -7]], [[1, 16]], [[1, 9]], [[1, -26]], [[1, -8]], [[1, 19]], [[1, 21]], [[1, -21]], [[1, 2]], [[1, -12]], [[1, -9]], [[1, 12]], [[1, -17]], [[1, -3]], [[1, 6]], [[1, -18]], [[1, -13]], [[1, -6]], [[1, 23]], [[1, 4]], [[1, -24]], [[1, 3]], [[1, 17]], [[1, -14]], [[1, 24]], [[1, 26]], [[1, -23]], [[1, 18]], [[1, 13]], [[1, 1]], [[1, 8]], [[1, 14]], [[1, -19]], [[1, 3]], [[1, 17]], [[1, -23]], [[1, -12]], [[1, -18]], [[1, -1]], [[1, 19]], [[1, -24]], [[1, -2]], [[1, -19]], [[1, 27]], [[1, -7]], [[1, 12]], [[1, -6]], [[1, -17]], [[1, 16]], [[1, 26]], [[1, -21]], [[1, 4]], [[1, 14]], [[1, 6]], [[1, -27]], [[1, -8]], [[1, 2]], [[1, 18]], [[1, -16]], [[1, 24]], [[1, 8]], [[1, -14]], [[1, 1]], [[1, 23]], [[1, 9]], [[1, -3]], [[1, 7]], [[1, -13]], [[1, 21]], [[1, 13]], [[1, -9]], [[1, -26]], [[1, -4]]]}
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id: 5699612
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 46, 'cyclotomic_n': 55, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '55.2', 'image_order': 55, 'indicator': 0, 'kernel': '55.a1', 'kernel_order': 2662, 'label': '146410.v.1g16', 'nt': [55, 40], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 22]], [[1, -11]], [[1, 11]], [[1, -22]], [[1, -22]], [[1, 22]], [[1, 11]], [[1, -11]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -10]], [[1, 5]], [[1, -5]], [[1, 20]], [[1, -25]], [[1, 25]], [[1, -15]], [[1, 15]], [[1, -20]], [[1, 10]], [[1, 20]], [[1, -10]], [[1, 10]], [[1, -20]], [[1, -25]], [[1, 25]], [[1, 15]], [[1, -15]], [[1, -5]], [[1, 5]], [[1, -20]], [[1, 25]], [[1, 15]], [[1, -5]], [[1, 20]], [[1, -15]], [[1, 5]], [[1, -25]], [[1, 10]], [[1, -10]], [[1, 16]], [[1, 27]], [[1, 2]], [[1, -27]], [[1, 1]], [[1, 4]], [[1, -7]], [[1, 7]], [[1, -16]], [[1, -9]], [[1, 26]], [[1, 8]], [[1, -19]], [[1, -21]], [[1, 21]], [[1, -2]], [[1, 12]], [[1, 9]], [[1, -12]], [[1, 17]], [[1, 3]], [[1, -6]], [[1, 18]], [[1, 13]], [[1, 6]], [[1, -23]], [[1, -4]], [[1, 24]], [[1, -3]], [[1, -17]], [[1, 14]], [[1, -24]], [[1, -26]], [[1, 23]], [[1, -18]], [[1, -13]], [[1, -1]], [[1, -8]], [[1, -14]], [[1, 19]], [[1, -3]], [[1, -17]], [[1, 23]], [[1, 12]], [[1, 18]], [[1, 1]], [[1, -19]], [[1, 24]], [[1, 2]], [[1, 19]], [[1, -27]], [[1, 7]], [[1, -12]], [[1, 6]], [[1, 17]], [[1, -16]], [[1, -26]], [[1, 21]], [[1, -4]], [[1, -14]], [[1, -6]], [[1, 27]], [[1, 8]], [[1, -2]], [[1, -18]], [[1, 16]], [[1, -24]], [[1, -8]], [[1, 14]], [[1, -1]], [[1, -23]], [[1, -9]], [[1, 3]], [[1, -7]], [[1, 13]], [[1, -21]], [[1, -13]], [[1, 9]], [[1, 26]], [[1, 4]]]}
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id: 5699613
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 47, 'cyclotomic_n': 55, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '55.2', 'image_order': 55, 'indicator': 0, 'kernel': '55.a1', 'kernel_order': 2662, 'label': '146410.v.1g17', 'nt': [55, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, -22]], [[1, 11]], [[1, -11]], [[1, 22]], [[1, 22]], [[1, -22]], [[1, -11]], [[1, 11]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -5]], [[1, -25]], [[1, 25]], [[1, 10]], [[1, 15]], [[1, -15]], [[1, 20]], [[1, -20]], [[1, -10]], [[1, 5]], [[1, 10]], [[1, -5]], [[1, 5]], [[1, -10]], [[1, 15]], [[1, -15]], [[1, -20]], [[1, 20]], [[1, 25]], [[1, -25]], [[1, -10]], [[1, -15]], [[1, -20]], [[1, 25]], [[1, 10]], [[1, 20]], [[1, -25]], [[1, 15]], [[1, 5]], [[1, -5]], [[1, 19]], [[1, 8]], [[1, 23]], [[1, -8]], [[1, -16]], [[1, -9]], [[1, 2]], [[1, -2]], [[1, -19]], [[1, -21]], [[1, 24]], [[1, -18]], [[1, -26]], [[1, 6]], [[1, -6]], [[1, -23]], [[1, -27]], [[1, 21]], [[1, 27]], [[1, 3]], [[1, 7]], [[1, -14]], [[1, -13]], [[1, 12]], [[1, 14]], [[1, -17]], [[1, 9]], [[1, 1]], [[1, -7]], [[1, -3]], [[1, -4]], [[1, -1]], [[1, -24]], [[1, 17]], [[1, 13]], [[1, -12]], [[1, 16]], [[1, 18]], [[1, 4]], [[1, 26]], [[1, -7]], [[1, -3]], [[1, 17]], [[1, -27]], [[1, -13]], [[1, -16]], [[1, -26]], [[1, 1]], [[1, 23]], [[1, 26]], [[1, -8]], [[1, -2]], [[1, 27]], [[1, 14]], [[1, 3]], [[1, -19]], [[1, -24]], [[1, -6]], [[1, 9]], [[1, 4]], [[1, -14]], [[1, 8]], [[1, -18]], [[1, -23]], [[1, 13]], [[1, 19]], [[1, -1]], [[1, 18]], [[1, -4]], [[1, 16]], [[1, -17]], [[1, -21]], [[1, 7]], [[1, 2]], [[1, 12]], [[1, 6]], [[1, -12]], [[1, 21]], [[1, 24]], [[1, -9]]]}
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id: 5699614
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 48, 'cyclotomic_n': 55, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '55.2', 'image_order': 55, 'indicator': 0, 'kernel': '55.a1', 'kernel_order': 2662, 'label': '146410.v.1g18', 'nt': [55, 40], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 22]], [[1, -11]], [[1, 11]], [[1, -22]], [[1, -22]], [[1, 22]], [[1, 11]], [[1, -11]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 5]], [[1, 25]], [[1, -25]], [[1, -10]], [[1, -15]], [[1, 15]], [[1, -20]], [[1, 20]], [[1, 10]], [[1, -5]], [[1, -10]], [[1, 5]], [[1, -5]], [[1, 10]], [[1, -15]], [[1, 15]], [[1, 20]], [[1, -20]], [[1, -25]], [[1, 25]], [[1, 10]], [[1, 15]], [[1, 20]], [[1, -25]], [[1, -10]], [[1, -20]], [[1, 25]], [[1, -15]], [[1, -5]], [[1, 5]], [[1, -19]], [[1, -8]], [[1, -23]], [[1, 8]], [[1, 16]], [[1, 9]], [[1, -2]], [[1, 2]], [[1, 19]], [[1, 21]], [[1, -24]], [[1, 18]], [[1, 26]], [[1, -6]], [[1, 6]], [[1, 23]], [[1, 27]], [[1, -21]], [[1, -27]], [[1, -3]], [[1, -7]], [[1, 14]], [[1, 13]], [[1, -12]], [[1, -14]], [[1, 17]], [[1, -9]], [[1, -1]], [[1, 7]], [[1, 3]], [[1, 4]], [[1, 1]], [[1, 24]], [[1, -17]], [[1, -13]], [[1, 12]], [[1, -16]], [[1, -18]], [[1, -4]], [[1, -26]], [[1, 7]], [[1, 3]], [[1, -17]], [[1, 27]], [[1, 13]], [[1, 16]], [[1, 26]], [[1, -1]], [[1, -23]], [[1, -26]], [[1, 8]], [[1, 2]], [[1, -27]], [[1, -14]], [[1, -3]], [[1, 19]], [[1, 24]], [[1, 6]], [[1, -9]], [[1, -4]], [[1, 14]], [[1, -8]], [[1, 18]], [[1, 23]], [[1, -13]], [[1, -19]], [[1, 1]], [[1, -18]], [[1, 4]], [[1, -16]], [[1, 17]], [[1, 21]], [[1, -7]], [[1, -2]], [[1, -12]], [[1, -6]], [[1, 12]], [[1, -21]], [[1, -24]], [[1, 9]]]}
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id: 5699615
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 49, 'cyclotomic_n': 55, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '55.2', 'image_order': 55, 'indicator': 0, 'kernel': '55.a1', 'kernel_order': 2662, 'label': '146410.v.1g19', 'nt': [55, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, -22]], [[1, 11]], [[1, -11]], [[1, 22]], [[1, 22]], [[1, -22]], [[1, -11]], [[1, 11]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 5]], [[1, 25]], [[1, -25]], [[1, -10]], [[1, -15]], [[1, 15]], [[1, -20]], [[1, 20]], [[1, 10]], [[1, -5]], [[1, -10]], [[1, 5]], [[1, -5]], [[1, 10]], [[1, -15]], [[1, 15]], [[1, 20]], [[1, -20]], [[1, -25]], [[1, 25]], [[1, 10]], [[1, 15]], [[1, 20]], [[1, -25]], [[1, -10]], [[1, -20]], [[1, 25]], [[1, -15]], [[1, -5]], [[1, 5]], [[1, 14]], [[1, 3]], [[1, -12]], [[1, -3]], [[1, -6]], [[1, -24]], [[1, -13]], [[1, 13]], [[1, -14]], [[1, -1]], [[1, 9]], [[1, 7]], [[1, 4]], [[1, 16]], [[1, -16]], [[1, 12]], [[1, -17]], [[1, 1]], [[1, 17]], [[1, 8]], [[1, -18]], [[1, -19]], [[1, 2]], [[1, -23]], [[1, 19]], [[1, -27]], [[1, 24]], [[1, 21]], [[1, 18]], [[1, -8]], [[1, 26]], [[1, -21]], [[1, -9]], [[1, 27]], [[1, -2]], [[1, 23]], [[1, 6]], [[1, -7]], [[1, -26]], [[1, -4]], [[1, 18]], [[1, -8]], [[1, 27]], [[1, -17]], [[1, 2]], [[1, -6]], [[1, 4]], [[1, 21]], [[1, -12]], [[1, -4]], [[1, -3]], [[1, 13]], [[1, 17]], [[1, 19]], [[1, 8]], [[1, -14]], [[1, -9]], [[1, -16]], [[1, 24]], [[1, -26]], [[1, -19]], [[1, 3]], [[1, 7]], [[1, 12]], [[1, -2]], [[1, 14]], [[1, -21]], [[1, -7]], [[1, 26]], [[1, 6]], [[1, -27]], [[1, -1]], [[1, -18]], [[1, -13]], [[1, -23]], [[1, 16]], [[1, 23]], [[1, 1]], [[1, 9]], [[1, -24]]]}
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id: 5699597
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 32, 'cyclotomic_n': 55, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '55.2', 'image_order': 55, 'indicator': 0, 'kernel': '55.a1', 'kernel_order': 2662, 'label': '146410.v.1g2', 'nt': [55, 40], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 22]], [[1, -11]], [[1, 11]], [[1, -22]], [[1, -22]], [[1, 22]], [[1, 11]], [[1, -11]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 25]], [[1, 15]], [[1, -15]], [[1, 5]], [[1, -20]], [[1, 20]], [[1, 10]], [[1, -10]], [[1, -5]], [[1, -25]], [[1, 5]], [[1, 25]], [[1, -25]], [[1, -5]], [[1, -20]], [[1, 20]], [[1, -10]], [[1, 10]], [[1, -15]], [[1, 15]], [[1, -5]], [[1, 20]], [[1, -10]], [[1, -15]], [[1, 5]], [[1, 10]], [[1, 15]], [[1, -20]], [[1, -25]], [[1, 25]], [[1, 26]], [[1, -18]], [[1, 17]], [[1, 18]], [[1, -19]], [[1, -21]], [[1, 23]], [[1, -23]], [[1, -26]], [[1, 6]], [[1, 1]], [[1, 13]], [[1, -24]], [[1, 14]], [[1, -14]], [[1, -17]], [[1, -8]], [[1, -6]], [[1, 8]], [[1, 7]], [[1, -2]], [[1, 4]], [[1, -12]], [[1, -27]], [[1, -4]], [[1, -3]], [[1, 21]], [[1, -16]], [[1, 2]], [[1, -7]], [[1, 9]], [[1, 16]], [[1, -1]], [[1, 3]], [[1, 12]], [[1, 27]], [[1, 19]], [[1, -13]], [[1, -9]], [[1, 24]], [[1, 2]], [[1, -7]], [[1, 3]], [[1, -8]], [[1, -12]], [[1, -19]], [[1, -24]], [[1, -16]], [[1, 17]], [[1, 24]], [[1, 18]], [[1, -23]], [[1, 8]], [[1, -4]], [[1, 7]], [[1, -26]], [[1, -1]], [[1, -14]], [[1, 21]], [[1, -9]], [[1, 4]], [[1, -18]], [[1, 13]], [[1, -17]], [[1, 12]], [[1, 26]], [[1, 16]], [[1, -13]], [[1, 9]], [[1, 19]], [[1, -3]], [[1, 6]], [[1, -2]], [[1, 23]], [[1, -27]], [[1, 14]], [[1, 27]], [[1, -6]], [[1, 1]], [[1, -21]]]}
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id: 5699617
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id: 5699618
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 51, 'cyclotomic_n': 55, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '55.2', 'image_order': 55, 'indicator': 0, 'kernel': '55.a1', 'kernel_order': 2662, 'label': '146410.v.1g21', 'nt': [55, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, -11]], [[1, -22]], [[1, 22]], [[1, 11]], [[1, 11]], [[1, -11]], [[1, 22]], [[1, -22]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -25]], [[1, -15]], [[1, 15]], [[1, -5]], [[1, 20]], [[1, -20]], [[1, -10]], [[1, 10]], [[1, 5]], [[1, 25]], [[1, -5]], [[1, -25]], [[1, 25]], [[1, 5]], [[1, 20]], [[1, -20]], [[1, 10]], [[1, -10]], [[1, 15]], [[1, -15]], [[1, 5]], [[1, -20]], [[1, 10]], [[1, 15]], [[1, -5]], [[1, -10]], [[1, -15]], [[1, 20]], [[1, 25]], [[1, -25]], [[1, 7]], [[1, -26]], [[1, -6]], [[1, 26]], [[1, -3]], [[1, -12]], [[1, 21]], [[1, -21]], [[1, -7]], [[1, 27]], [[1, -23]], [[1, -24]], [[1, 2]], [[1, 8]], [[1, -8]], [[1, 6]], [[1, 19]], [[1, -27]], [[1, -19]], [[1, 4]], [[1, -9]], [[1, 18]], [[1, 1]], [[1, 16]], [[1, -18]], [[1, 14]], [[1, 12]], [[1, -17]], [[1, 9]], [[1, -4]], [[1, 13]], [[1, 17]], [[1, 23]], [[1, -14]], [[1, -1]], [[1, -16]], [[1, 3]], [[1, 24]], [[1, -13]], [[1, -2]], [[1, 9]], [[1, -4]], [[1, -14]], [[1, 19]], [[1, 1]], [[1, -3]], [[1, 2]], [[1, -17]], [[1, -6]], [[1, -2]], [[1, 26]], [[1, -21]], [[1, -19]], [[1, -18]], [[1, 4]], [[1, -7]], [[1, 23]], [[1, -8]], [[1, 12]], [[1, -13]], [[1, 18]], [[1, -26]], [[1, -24]], [[1, 6]], [[1, -1]], [[1, 7]], [[1, 17]], [[1, 24]], [[1, 13]], [[1, 3]], [[1, 14]], [[1, 27]], [[1, -9]], [[1, 21]], [[1, 16]], [[1, 8]], [[1, -16]], [[1, -27]], [[1, -23]], [[1, -12]]]}
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id: 5699619
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 52, 'cyclotomic_n': 55, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '55.2', 'image_order': 55, 'indicator': 0, 'kernel': '55.a1', 'kernel_order': 2662, 'label': '146410.v.1g22', 'nt': [55, 40], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 11]], [[1, 22]], [[1, -22]], [[1, -11]], [[1, -11]], [[1, 11]], [[1, -22]], [[1, 22]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 25]], [[1, 15]], [[1, -15]], [[1, 5]], [[1, -20]], [[1, 20]], [[1, 10]], [[1, -10]], [[1, -5]], [[1, -25]], [[1, 5]], [[1, 25]], [[1, -25]], [[1, -5]], [[1, -20]], [[1, 20]], [[1, -10]], [[1, 10]], [[1, -15]], [[1, 15]], [[1, -5]], [[1, 20]], [[1, -10]], [[1, -15]], [[1, 5]], [[1, 10]], [[1, 15]], [[1, -20]], [[1, -25]], [[1, 25]], [[1, -7]], [[1, 26]], [[1, 6]], [[1, -26]], [[1, 3]], [[1, 12]], [[1, -21]], [[1, 21]], [[1, 7]], [[1, -27]], [[1, 23]], [[1, 24]], [[1, -2]], [[1, -8]], [[1, 8]], [[1, -6]], [[1, -19]], [[1, 27]], [[1, 19]], [[1, -4]], [[1, 9]], [[1, -18]], [[1, -1]], [[1, -16]], [[1, 18]], [[1, -14]], [[1, -12]], [[1, 17]], [[1, -9]], [[1, 4]], [[1, -13]], [[1, -17]], [[1, -23]], [[1, 14]], [[1, 1]], [[1, 16]], [[1, -3]], [[1, -24]], [[1, 13]], [[1, 2]], [[1, -9]], [[1, 4]], [[1, 14]], [[1, -19]], [[1, -1]], [[1, 3]], [[1, -2]], [[1, 17]], [[1, 6]], [[1, 2]], [[1, -26]], [[1, 21]], [[1, 19]], [[1, 18]], [[1, -4]], [[1, 7]], [[1, -23]], [[1, 8]], [[1, -12]], [[1, 13]], [[1, -18]], [[1, 26]], [[1, 24]], [[1, -6]], [[1, 1]], [[1, -7]], [[1, -17]], [[1, -24]], [[1, -13]], [[1, -3]], [[1, -14]], [[1, -27]], [[1, 9]], [[1, -21]], [[1, -16]], [[1, -8]], [[1, 16]], [[1, 27]], [[1, 23]], [[1, 12]]]}
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id: 5699620
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 53, 'cyclotomic_n': 55, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '55.2', 'image_order': 55, 'indicator': 0, 'kernel': '55.a1', 'kernel_order': 2662, 'label': '146410.v.1g23', 'nt': [55, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, -11]], [[1, -22]], [[1, 22]], [[1, 11]], [[1, 11]], [[1, -11]], [[1, 22]], [[1, -22]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 25]], [[1, 15]], [[1, -15]], [[1, 5]], [[1, -20]], [[1, 20]], [[1, 10]], [[1, -10]], [[1, -5]], [[1, -25]], [[1, 5]], [[1, 25]], [[1, -25]], [[1, -5]], [[1, -20]], [[1, 20]], [[1, -10]], [[1, 10]], [[1, -15]], [[1, 15]], [[1, -5]], [[1, 20]], [[1, -10]], [[1, -15]], [[1, 5]], [[1, 10]], [[1, 15]], [[1, -20]], [[1, -25]], [[1, 25]], [[1, -18]], [[1, 4]], [[1, -16]], [[1, -4]], [[1, -8]], [[1, 23]], [[1, 1]], [[1, -1]], [[1, 18]], [[1, 17]], [[1, 12]], [[1, -9]], [[1, -13]], [[1, 3]], [[1, -3]], [[1, 16]], [[1, 14]], [[1, -17]], [[1, -14]], [[1, -26]], [[1, -24]], [[1, -7]], [[1, 21]], [[1, 6]], [[1, 7]], [[1, 19]], [[1, -23]], [[1, -27]], [[1, 24]], [[1, 26]], [[1, -2]], [[1, 27]], [[1, -12]], [[1, -19]], [[1, -21]], [[1, -6]], [[1, 8]], [[1, 9]], [[1, 2]], [[1, 13]], [[1, 24]], [[1, 26]], [[1, -19]], [[1, 14]], [[1, 21]], [[1, -8]], [[1, -13]], [[1, -27]], [[1, -16]], [[1, 13]], [[1, -4]], [[1, -1]], [[1, -14]], [[1, 7]], [[1, -26]], [[1, 18]], [[1, -12]], [[1, -3]], [[1, -23]], [[1, 2]], [[1, -7]], [[1, 4]], [[1, -9]], [[1, 16]], [[1, -21]], [[1, -18]], [[1, 27]], [[1, 9]], [[1, -2]], [[1, 8]], [[1, 19]], [[1, 17]], [[1, -24]], [[1, 1]], [[1, 6]], [[1, 3]], [[1, -6]], [[1, -17]], [[1, 12]], [[1, 23]]]}
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id: 5699621
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 54, 'cyclotomic_n': 55, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '55.2', 'image_order': 55, 'indicator': 0, 'kernel': '55.a1', 'kernel_order': 2662, 'label': '146410.v.1g24', 'nt': [55, 40], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 11]], [[1, 22]], [[1, -22]], [[1, -11]], [[1, -11]], [[1, 11]], [[1, -22]], [[1, 22]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -25]], [[1, -15]], [[1, 15]], [[1, -5]], [[1, 20]], [[1, -20]], [[1, -10]], [[1, 10]], [[1, 5]], [[1, 25]], [[1, -5]], [[1, -25]], [[1, 25]], [[1, 5]], [[1, 20]], [[1, -20]], [[1, 10]], [[1, -10]], [[1, 15]], [[1, -15]], [[1, 5]], [[1, -20]], [[1, 10]], [[1, 15]], [[1, -5]], [[1, -10]], [[1, -15]], [[1, 20]], [[1, 25]], [[1, -25]], [[1, 18]], [[1, -4]], [[1, 16]], [[1, 4]], [[1, 8]], [[1, -23]], [[1, -1]], [[1, 1]], [[1, -18]], [[1, -17]], [[1, -12]], [[1, 9]], [[1, 13]], [[1, -3]], [[1, 3]], [[1, -16]], [[1, -14]], [[1, 17]], [[1, 14]], [[1, 26]], [[1, 24]], [[1, 7]], [[1, -21]], [[1, -6]], [[1, -7]], [[1, -19]], [[1, 23]], [[1, 27]], [[1, -24]], [[1, -26]], [[1, 2]], [[1, -27]], [[1, 12]], [[1, 19]], [[1, 21]], [[1, 6]], [[1, -8]], [[1, -9]], [[1, -2]], [[1, -13]], [[1, -24]], [[1, -26]], [[1, 19]], [[1, -14]], [[1, -21]], [[1, 8]], [[1, 13]], [[1, 27]], [[1, 16]], [[1, -13]], [[1, 4]], [[1, 1]], [[1, 14]], [[1, -7]], [[1, 26]], [[1, -18]], [[1, 12]], [[1, 3]], [[1, 23]], [[1, -2]], [[1, 7]], [[1, -4]], [[1, 9]], [[1, -16]], [[1, 21]], [[1, 18]], [[1, -27]], [[1, -9]], [[1, 2]], [[1, -8]], [[1, -19]], [[1, -17]], [[1, 24]], [[1, -1]], [[1, -6]], [[1, -3]], [[1, 6]], [[1, 17]], [[1, -12]], [[1, -23]]]}
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id: 5699622
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 55, 'cyclotomic_n': 55, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '55.2', 'image_order': 55, 'indicator': 0, 'kernel': '55.a1', 'kernel_order': 2662, 'label': '146410.v.1g25', 'nt': [55, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, -11]], [[1, -22]], [[1, 22]], [[1, 11]], [[1, 11]], [[1, -11]], [[1, 22]], [[1, -22]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -20]], [[1, 10]], [[1, -10]], [[1, -15]], [[1, 5]], [[1, -5]], [[1, 25]], [[1, -25]], [[1, 15]], [[1, 20]], [[1, -15]], [[1, -20]], [[1, 20]], [[1, 15]], [[1, 5]], [[1, -5]], [[1, -25]], [[1, 25]], [[1, -10]], [[1, 10]], [[1, 15]], [[1, -5]], [[1, -25]], [[1, -10]], [[1, -15]], [[1, 25]], [[1, 10]], [[1, 5]], [[1, 20]], [[1, -20]], [[1, -23]], [[1, -1]], [[1, 4]], [[1, 1]], [[1, 2]], [[1, 8]], [[1, -14]], [[1, 14]], [[1, 23]], [[1, -18]], [[1, -3]], [[1, 16]], [[1, 17]], [[1, 13]], [[1, -13]], [[1, -4]], [[1, 24]], [[1, 18]], [[1, -24]], [[1, -21]], [[1, 6]], [[1, -12]], [[1, -19]], [[1, 26]], [[1, 12]], [[1, 9]], [[1, -8]], [[1, -7]], [[1, -6]], [[1, 21]], [[1, -27]], [[1, 7]], [[1, 3]], [[1, -9]], [[1, 19]], [[1, -26]], [[1, -2]], [[1, -16]], [[1, 27]], [[1, -17]], [[1, -6]], [[1, 21]], [[1, -9]], [[1, 24]], [[1, -19]], [[1, 2]], [[1, 17]], [[1, -7]], [[1, 4]], [[1, -17]], [[1, 1]], [[1, 14]], [[1, -24]], [[1, 12]], [[1, -21]], [[1, 23]], [[1, 3]], [[1, -13]], [[1, -8]], [[1, 27]], [[1, -12]], [[1, -1]], [[1, 16]], [[1, -4]], [[1, 19]], [[1, -23]], [[1, 7]], [[1, -16]], [[1, -27]], [[1, -2]], [[1, 9]], [[1, -18]], [[1, 6]], [[1, -14]], [[1, 26]], [[1, 13]], [[1, -26]], [[1, 18]], [[1, -3]], [[1, 8]]]}
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id: 5699623
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 56, 'cyclotomic_n': 55, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '55.2', 'image_order': 55, 'indicator': 0, 'kernel': '55.a1', 'kernel_order': 2662, 'label': '146410.v.1g26', 'nt': [55, 40], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 11]], [[1, 22]], [[1, -22]], [[1, -11]], [[1, -11]], [[1, 11]], [[1, -22]], [[1, 22]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 20]], [[1, -10]], [[1, 10]], [[1, 15]], [[1, -5]], [[1, 5]], [[1, -25]], [[1, 25]], [[1, -15]], [[1, -20]], [[1, 15]], [[1, 20]], [[1, -20]], [[1, -15]], [[1, -5]], [[1, 5]], [[1, 25]], [[1, -25]], [[1, 10]], [[1, -10]], [[1, -15]], [[1, 5]], [[1, 25]], [[1, 10]], [[1, 15]], [[1, -25]], [[1, -10]], [[1, -5]], [[1, -20]], [[1, 20]], [[1, 23]], [[1, 1]], [[1, -4]], [[1, -1]], [[1, -2]], [[1, -8]], [[1, 14]], [[1, -14]], [[1, -23]], [[1, 18]], [[1, 3]], [[1, -16]], [[1, -17]], [[1, -13]], [[1, 13]], [[1, 4]], [[1, -24]], [[1, -18]], [[1, 24]], [[1, 21]], [[1, -6]], [[1, 12]], [[1, 19]], [[1, -26]], [[1, -12]], [[1, -9]], [[1, 8]], [[1, 7]], [[1, 6]], [[1, -21]], [[1, 27]], [[1, -7]], [[1, -3]], [[1, 9]], [[1, -19]], [[1, 26]], [[1, 2]], [[1, 16]], [[1, -27]], [[1, 17]], [[1, 6]], [[1, -21]], [[1, 9]], [[1, -24]], [[1, 19]], [[1, -2]], [[1, -17]], [[1, 7]], [[1, -4]], [[1, 17]], [[1, -1]], [[1, -14]], [[1, 24]], [[1, -12]], [[1, 21]], [[1, -23]], [[1, -3]], [[1, 13]], [[1, 8]], [[1, -27]], [[1, 12]], [[1, 1]], [[1, -16]], [[1, 4]], [[1, -19]], [[1, 23]], [[1, -7]], [[1, 16]], [[1, 27]], [[1, 2]], [[1, -9]], [[1, 18]], [[1, -6]], [[1, 14]], [[1, -26]], [[1, -13]], [[1, 26]], [[1, -18]], [[1, 3]], [[1, -8]]]}
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id: 5699624
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 57, 'cyclotomic_n': 55, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '55.2', 'image_order': 55, 'indicator': 0, 'kernel': '55.a1', 'kernel_order': 2662, 'label': '146410.v.1g27', 'nt': [55, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, -11]], [[1, -22]], [[1, 22]], [[1, 11]], [[1, 11]], [[1, -11]], [[1, 22]], [[1, -22]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 20]], [[1, -10]], [[1, 10]], [[1, 15]], [[1, -5]], [[1, 5]], [[1, -25]], [[1, 25]], [[1, -15]], [[1, -20]], [[1, 15]], [[1, 20]], [[1, -20]], [[1, -15]], [[1, -5]], [[1, 5]], [[1, 25]], [[1, -25]], [[1, 10]], [[1, -10]], [[1, -15]], [[1, 5]], [[1, 25]], [[1, 10]], [[1, 15]], [[1, -25]], [[1, -10]], [[1, -5]], [[1, -20]], [[1, 20]], [[1, 12]], [[1, -21]], [[1, -26]], [[1, 21]], [[1, -13]], [[1, 3]], [[1, -19]], [[1, 19]], [[1, -12]], [[1, 7]], [[1, -8]], [[1, 6]], [[1, 27]], [[1, -2]], [[1, 2]], [[1, 26]], [[1, 9]], [[1, -7]], [[1, -9]], [[1, -1]], [[1, 16]], [[1, 23]], [[1, -14]], [[1, -4]], [[1, -23]], [[1, 24]], [[1, -3]], [[1, 18]], [[1, -16]], [[1, 1]], [[1, -17]], [[1, -18]], [[1, 8]], [[1, -24]], [[1, 14]], [[1, 4]], [[1, 13]], [[1, -6]], [[1, 17]], [[1, -27]], [[1, -16]], [[1, 1]], [[1, -24]], [[1, 9]], [[1, -14]], [[1, -13]], [[1, 27]], [[1, 18]], [[1, -26]], [[1, -27]], [[1, 21]], [[1, 19]], [[1, -9]], [[1, -23]], [[1, -1]], [[1, -12]], [[1, 8]], [[1, 2]], [[1, -3]], [[1, 17]], [[1, 23]], [[1, -21]], [[1, 6]], [[1, 26]], [[1, 14]], [[1, 12]], [[1, -18]], [[1, -6]], [[1, -17]], [[1, 13]], [[1, 24]], [[1, 7]], [[1, 16]], [[1, -19]], [[1, -4]], [[1, -2]], [[1, 4]], [[1, -7]], [[1, -8]], [[1, 3]]]}
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id: 5699625
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id: 5699626
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 59, 'cyclotomic_n': 55, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '55.2', 'image_order': 55, 'indicator': 0, 'kernel': '55.a1', 'kernel_order': 2662, 'label': '146410.v.1g29', 'nt': [55, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, -11]], [[1, -22]], [[1, 22]], [[1, 11]], [[1, 11]], [[1, -11]], [[1, 22]], [[1, -22]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -15]], [[1, -20]], [[1, 20]], [[1, -25]], [[1, -10]], [[1, 10]], [[1, 5]], [[1, -5]], [[1, 25]], [[1, 15]], [[1, -25]], [[1, -15]], [[1, 15]], [[1, 25]], [[1, -10]], [[1, 10]], [[1, -5]], [[1, 5]], [[1, 20]], [[1, -20]], [[1, 25]], [[1, 10]], [[1, -5]], [[1, 20]], [[1, -25]], [[1, 5]], [[1, -20]], [[1, -10]], [[1, 15]], [[1, -15]], [[1, 2]], [[1, 24]], [[1, 14]], [[1, -24]], [[1, 7]], [[1, -27]], [[1, 6]], [[1, -6]], [[1, -2]], [[1, -8]], [[1, 17]], [[1, 1]], [[1, -23]], [[1, 18]], [[1, -18]], [[1, -14]], [[1, -26]], [[1, 8]], [[1, 26]], [[1, 9]], [[1, 21]], [[1, 13]], [[1, 16]], [[1, -19]], [[1, -13]], [[1, 4]], [[1, 27]], [[1, 3]], [[1, -21]], [[1, -9]], [[1, -12]], [[1, -3]], [[1, -17]], [[1, -4]], [[1, -16]], [[1, 19]], [[1, -7]], [[1, -1]], [[1, 12]], [[1, 23]], [[1, -21]], [[1, -9]], [[1, -4]], [[1, -26]], [[1, 16]], [[1, 7]], [[1, -23]], [[1, 3]], [[1, 14]], [[1, 23]], [[1, -24]], [[1, -6]], [[1, 26]], [[1, -13]], [[1, 9]], [[1, -2]], [[1, -17]], [[1, -18]], [[1, 27]], [[1, 12]], [[1, 13]], [[1, 24]], [[1, 1]], [[1, -14]], [[1, -16]], [[1, 2]], [[1, -3]], [[1, -1]], [[1, -12]], [[1, -7]], [[1, 4]], [[1, -8]], [[1, 21]], [[1, 6]], [[1, -19]], [[1, 18]], [[1, 19]], [[1, 8]], [[1, 17]], [[1, -27]]]}
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id: 5699598
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 33, 'cyclotomic_n': 55, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '55.2', 'image_order': 55, 'indicator': 0, 'kernel': '55.a1', 'kernel_order': 2662, 'label': '146410.v.1g3', 'nt': [55, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, -22]], [[1, 11]], [[1, -11]], [[1, 22]], [[1, 22]], [[1, -22]], [[1, -11]], [[1, 11]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 25]], [[1, 15]], [[1, -15]], [[1, 5]], [[1, -20]], [[1, 20]], [[1, 10]], [[1, -10]], [[1, -5]], [[1, -25]], [[1, 5]], [[1, 25]], [[1, -25]], [[1, -5]], [[1, -20]], [[1, 20]], [[1, -10]], [[1, 10]], [[1, -15]], [[1, 15]], [[1, -5]], [[1, 20]], [[1, -10]], [[1, -15]], [[1, 5]], [[1, 10]], [[1, 15]], [[1, -20]], [[1, -25]], [[1, 25]], [[1, 4]], [[1, -7]], [[1, -27]], [[1, 7]], [[1, 14]], [[1, 1]], [[1, 12]], [[1, -12]], [[1, -4]], [[1, -16]], [[1, -21]], [[1, 2]], [[1, 9]], [[1, -19]], [[1, 19]], [[1, 27]], [[1, 3]], [[1, 16]], [[1, -3]], [[1, 18]], [[1, -13]], [[1, 26]], [[1, -23]], [[1, 17]], [[1, -26]], [[1, 8]], [[1, -1]], [[1, 6]], [[1, 13]], [[1, -18]], [[1, -24]], [[1, -6]], [[1, 21]], [[1, -8]], [[1, 23]], [[1, -17]], [[1, -14]], [[1, -2]], [[1, 24]], [[1, -9]], [[1, 13]], [[1, -18]], [[1, -8]], [[1, 3]], [[1, -23]], [[1, 14]], [[1, 9]], [[1, 6]], [[1, -27]], [[1, -9]], [[1, 7]], [[1, -12]], [[1, -3]], [[1, -26]], [[1, 18]], [[1, -4]], [[1, 21]], [[1, 19]], [[1, -1]], [[1, 24]], [[1, 26]], [[1, -7]], [[1, 2]], [[1, 27]], [[1, 23]], [[1, 4]], [[1, -6]], [[1, -2]], [[1, -24]], [[1, -14]], [[1, 8]], [[1, -16]], [[1, -13]], [[1, 12]], [[1, 17]], [[1, -19]], [[1, -17]], [[1, 16]], [[1, -21]], [[1, 1]]]}
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id: 5699628
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 60, 'cyclotomic_n': 55, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '55.2', 'image_order': 55, 'indicator': 0, 'kernel': '55.a1', 'kernel_order': 2662, 'label': '146410.v.1g30', 'nt': [55, 40], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 11]], [[1, 22]], [[1, -22]], [[1, -11]], [[1, -11]], [[1, 11]], [[1, -22]], [[1, 22]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 15]], [[1, 20]], [[1, -20]], [[1, 25]], [[1, 10]], [[1, -10]], [[1, -5]], [[1, 5]], [[1, -25]], [[1, -15]], [[1, 25]], [[1, 15]], [[1, -15]], [[1, -25]], [[1, 10]], [[1, -10]], [[1, 5]], [[1, -5]], [[1, -20]], [[1, 20]], [[1, -25]], [[1, -10]], [[1, 5]], [[1, -20]], [[1, 25]], [[1, -5]], [[1, 20]], [[1, 10]], [[1, -15]], [[1, 15]], [[1, -2]], [[1, -24]], [[1, -14]], [[1, 24]], [[1, -7]], [[1, 27]], [[1, -6]], [[1, 6]], [[1, 2]], [[1, 8]], [[1, -17]], [[1, -1]], [[1, 23]], [[1, -18]], [[1, 18]], [[1, 14]], [[1, 26]], [[1, -8]], [[1, -26]], [[1, -9]], [[1, -21]], [[1, -13]], [[1, -16]], [[1, 19]], [[1, 13]], [[1, -4]], [[1, -27]], [[1, -3]], [[1, 21]], [[1, 9]], [[1, 12]], [[1, 3]], [[1, 17]], [[1, 4]], [[1, 16]], [[1, -19]], [[1, 7]], [[1, 1]], [[1, -12]], [[1, -23]], [[1, 21]], [[1, 9]], [[1, 4]], [[1, 26]], [[1, -16]], [[1, -7]], [[1, 23]], [[1, -3]], [[1, -14]], [[1, -23]], [[1, 24]], [[1, 6]], [[1, -26]], [[1, 13]], [[1, -9]], [[1, 2]], [[1, 17]], [[1, 18]], [[1, -27]], [[1, -12]], [[1, -13]], [[1, -24]], [[1, -1]], [[1, 14]], [[1, 16]], [[1, -2]], [[1, 3]], [[1, 1]], [[1, 12]], [[1, 7]], [[1, -4]], [[1, 8]], [[1, -21]], [[1, -6]], [[1, 19]], [[1, -18]], [[1, -19]], [[1, -8]], [[1, -17]], [[1, 27]]]}
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id: 5699629
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 61, 'cyclotomic_n': 55, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '55.2', 'image_order': 55, 'indicator': 0, 'kernel': '55.a1', 'kernel_order': 2662, 'label': '146410.v.1g31', 'nt': [55, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, -11]], [[1, -22]], [[1, 22]], [[1, 11]], [[1, 11]], [[1, -11]], [[1, 22]], [[1, -22]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 15]], [[1, 20]], [[1, -20]], [[1, 25]], [[1, 10]], [[1, -10]], [[1, -5]], [[1, 5]], [[1, -25]], [[1, -15]], [[1, 25]], [[1, 15]], [[1, -15]], [[1, -25]], [[1, 10]], [[1, -10]], [[1, 5]], [[1, -5]], [[1, -20]], [[1, 20]], [[1, -25]], [[1, -10]], [[1, 5]], [[1, -20]], [[1, 25]], [[1, -5]], [[1, 20]], [[1, 10]], [[1, -15]], [[1, 15]], [[1, -13]], [[1, 9]], [[1, 19]], [[1, -9]], [[1, -18]], [[1, -17]], [[1, 16]], [[1, -16]], [[1, 13]], [[1, -3]], [[1, 27]], [[1, 21]], [[1, 12]], [[1, -7]], [[1, 7]], [[1, -19]], [[1, 4]], [[1, 3]], [[1, -4]], [[1, 24]], [[1, 1]], [[1, -2]], [[1, 6]], [[1, -14]], [[1, 2]], [[1, -26]], [[1, 17]], [[1, 8]], [[1, -1]], [[1, -24]], [[1, 23]], [[1, -8]], [[1, -27]], [[1, 26]], [[1, -6]], [[1, 14]], [[1, 18]], [[1, -21]], [[1, -23]], [[1, -12]], [[1, -1]], [[1, -24]], [[1, 26]], [[1, 4]], [[1, 6]], [[1, -18]], [[1, 12]], [[1, 8]], [[1, 19]], [[1, -12]], [[1, -9]], [[1, -16]], [[1, -4]], [[1, 2]], [[1, 24]], [[1, 13]], [[1, -27]], [[1, 7]], [[1, 17]], [[1, -23]], [[1, -2]], [[1, 9]], [[1, 21]], [[1, -19]], [[1, -6]], [[1, -13]], [[1, -8]], [[1, -21]], [[1, 23]], [[1, 18]], [[1, -26]], [[1, -3]], [[1, 1]], [[1, 16]], [[1, -14]], [[1, -7]], [[1, 14]], [[1, 3]], [[1, 27]], [[1, -17]]]}
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id: 5699630
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 62, 'cyclotomic_n': 55, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '55.2', 'image_order': 55, 'indicator': 0, 'kernel': '55.a1', 'kernel_order': 2662, 'label': '146410.v.1g32', 'nt': [55, 40], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 11]], [[1, 22]], [[1, -22]], [[1, -11]], [[1, -11]], [[1, 11]], [[1, -22]], [[1, 22]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -15]], [[1, -20]], [[1, 20]], [[1, -25]], [[1, -10]], [[1, 10]], [[1, 5]], [[1, -5]], [[1, 25]], [[1, 15]], [[1, -25]], [[1, -15]], [[1, 15]], [[1, 25]], [[1, -10]], [[1, 10]], [[1, -5]], [[1, 5]], [[1, 20]], [[1, -20]], [[1, 25]], [[1, 10]], [[1, -5]], [[1, 20]], [[1, -25]], [[1, 5]], [[1, -20]], [[1, -10]], [[1, 15]], [[1, -15]], [[1, 13]], [[1, -9]], [[1, -19]], [[1, 9]], [[1, 18]], [[1, 17]], [[1, -16]], [[1, 16]], [[1, -13]], [[1, 3]], [[1, -27]], [[1, -21]], [[1, -12]], [[1, 7]], [[1, -7]], [[1, 19]], [[1, -4]], [[1, -3]], [[1, 4]], [[1, -24]], [[1, -1]], [[1, 2]], [[1, -6]], [[1, 14]], [[1, -2]], [[1, 26]], [[1, -17]], [[1, -8]], [[1, 1]], [[1, 24]], [[1, -23]], [[1, 8]], [[1, 27]], [[1, -26]], [[1, 6]], [[1, -14]], [[1, -18]], [[1, 21]], [[1, 23]], [[1, 12]], [[1, 1]], [[1, 24]], [[1, -26]], [[1, -4]], [[1, -6]], [[1, 18]], [[1, -12]], [[1, -8]], [[1, -19]], [[1, 12]], [[1, 9]], [[1, 16]], [[1, 4]], [[1, -2]], [[1, -24]], [[1, -13]], [[1, 27]], [[1, -7]], [[1, -17]], [[1, 23]], [[1, 2]], [[1, -9]], [[1, -21]], [[1, 19]], [[1, 6]], [[1, 13]], [[1, 8]], [[1, 21]], [[1, -23]], [[1, -18]], [[1, 26]], [[1, 3]], [[1, -1]], [[1, -16]], [[1, 14]], [[1, 7]], [[1, -14]], [[1, -3]], [[1, -27]], [[1, 17]]]}
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id: 5699631
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 63, 'cyclotomic_n': 55, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '55.2', 'image_order': 55, 'indicator': 0, 'kernel': '55.a1', 'kernel_order': 2662, 'label': '146410.v.1g33', 'nt': [55, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, -11]], [[1, -22]], [[1, 22]], [[1, 11]], [[1, 11]], [[1, -11]], [[1, 22]], [[1, -22]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -10]], [[1, 5]], [[1, -5]], [[1, 20]], [[1, -25]], [[1, 25]], [[1, -15]], [[1, 15]], [[1, -20]], [[1, 10]], [[1, 20]], [[1, -10]], [[1, 10]], [[1, -20]], [[1, -25]], [[1, 25]], [[1, 15]], [[1, -15]], [[1, -5]], [[1, 5]], [[1, -20]], [[1, 25]], [[1, 15]], [[1, -5]], [[1, 20]], [[1, -15]], [[1, 5]], [[1, -25]], [[1, 10]], [[1, -10]], [[1, 27]], [[1, -6]], [[1, 24]], [[1, 6]], [[1, 12]], [[1, -7]], [[1, 26]], [[1, -26]], [[1, -27]], [[1, 2]], [[1, -18]], [[1, -14]], [[1, -8]], [[1, 23]], [[1, -23]], [[1, -24]], [[1, -21]], [[1, -2]], [[1, 21]], [[1, -16]], [[1, -19]], [[1, -17]], [[1, -4]], [[1, -9]], [[1, 17]], [[1, -1]], [[1, 7]], [[1, 13]], [[1, 19]], [[1, 16]], [[1, 3]], [[1, -13]], [[1, 18]], [[1, 1]], [[1, 4]], [[1, 9]], [[1, -12]], [[1, 14]], [[1, -3]], [[1, 8]], [[1, 19]], [[1, 16]], [[1, 1]], [[1, -21]], [[1, -4]], [[1, 12]], [[1, -8]], [[1, 13]], [[1, 24]], [[1, 8]], [[1, 6]], [[1, -26]], [[1, 21]], [[1, 17]], [[1, -16]], [[1, -27]], [[1, 18]], [[1, -23]], [[1, 7]], [[1, -3]], [[1, -17]], [[1, -6]], [[1, -14]], [[1, -24]], [[1, 4]], [[1, 27]], [[1, -13]], [[1, 14]], [[1, 3]], [[1, -12]], [[1, -1]], [[1, 2]], [[1, -19]], [[1, 26]], [[1, -9]], [[1, 23]], [[1, 9]], [[1, -2]], [[1, -18]], [[1, -7]]]}
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id: 5699632
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 64, 'cyclotomic_n': 55, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '55.2', 'image_order': 55, 'indicator': 0, 'kernel': '55.a1', 'kernel_order': 2662, 'label': '146410.v.1g34', 'nt': [55, 40], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 11]], [[1, 22]], [[1, -22]], [[1, -11]], [[1, -11]], [[1, 11]], [[1, -22]], [[1, 22]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 10]], [[1, -5]], [[1, 5]], [[1, -20]], [[1, 25]], [[1, -25]], [[1, 15]], [[1, -15]], [[1, 20]], [[1, -10]], [[1, -20]], [[1, 10]], [[1, -10]], [[1, 20]], [[1, 25]], [[1, -25]], [[1, -15]], [[1, 15]], [[1, 5]], [[1, -5]], [[1, 20]], [[1, -25]], [[1, -15]], [[1, 5]], [[1, -20]], [[1, 15]], [[1, -5]], [[1, 25]], [[1, -10]], [[1, 10]], [[1, -27]], [[1, 6]], [[1, -24]], [[1, -6]], [[1, -12]], [[1, 7]], [[1, -26]], [[1, 26]], [[1, 27]], [[1, -2]], [[1, 18]], [[1, 14]], [[1, 8]], [[1, -23]], [[1, 23]], [[1, 24]], [[1, 21]], [[1, 2]], [[1, -21]], [[1, 16]], [[1, 19]], [[1, 17]], [[1, 4]], [[1, 9]], [[1, -17]], [[1, 1]], [[1, -7]], [[1, -13]], [[1, -19]], [[1, -16]], [[1, -3]], [[1, 13]], [[1, -18]], [[1, -1]], [[1, -4]], [[1, -9]], [[1, 12]], [[1, -14]], [[1, 3]], [[1, -8]], [[1, -19]], [[1, -16]], [[1, -1]], [[1, 21]], [[1, 4]], [[1, -12]], [[1, 8]], [[1, -13]], [[1, -24]], [[1, -8]], [[1, -6]], [[1, 26]], [[1, -21]], [[1, -17]], [[1, 16]], [[1, 27]], [[1, -18]], [[1, 23]], [[1, -7]], [[1, 3]], [[1, 17]], [[1, 6]], [[1, 14]], [[1, 24]], [[1, -4]], [[1, -27]], [[1, 13]], [[1, -14]], [[1, -3]], [[1, 12]], [[1, 1]], [[1, -2]], [[1, 19]], [[1, -26]], [[1, 9]], [[1, -23]], [[1, -9]], [[1, 2]], [[1, 18]], [[1, 7]]]}
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id: 5699633
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id: 5699634
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id: 5699635
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id: 5699636
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id: 5699637
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 69, 'cyclotomic_n': 55, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '55.2', 'image_order': 55, 'indicator': 0, 'kernel': '55.a1', 'kernel_order': 2662, 'label': '146410.v.1g39', 'nt': [55, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, -11]], [[1, -22]], [[1, 22]], [[1, 11]], [[1, 11]], [[1, -11]], [[1, 22]], [[1, -22]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 5]], [[1, 25]], [[1, -25]], [[1, -10]], [[1, -15]], [[1, 15]], [[1, -20]], [[1, 20]], [[1, 10]], [[1, -5]], [[1, -10]], [[1, 5]], [[1, -5]], [[1, 10]], [[1, -15]], [[1, 15]], [[1, 20]], [[1, -20]], [[1, -25]], [[1, 25]], [[1, 10]], [[1, 15]], [[1, 20]], [[1, -25]], [[1, -10]], [[1, -20]], [[1, 25]], [[1, -15]], [[1, -5]], [[1, 5]], [[1, -8]], [[1, 14]], [[1, -1]], [[1, -14]], [[1, 27]], [[1, -2]], [[1, -24]], [[1, 24]], [[1, 8]], [[1, -23]], [[1, -13]], [[1, -4]], [[1, -18]], [[1, -17]], [[1, 17]], [[1, 1]], [[1, -6]], [[1, 23]], [[1, 6]], [[1, 19]], [[1, 26]], [[1, 3]], [[1, -9]], [[1, 21]], [[1, -3]], [[1, -16]], [[1, 2]], [[1, -12]], [[1, -26]], [[1, -19]], [[1, -7]], [[1, 12]], [[1, 13]], [[1, 16]], [[1, 9]], [[1, -21]], [[1, -27]], [[1, 4]], [[1, 7]], [[1, 18]], [[1, -26]], [[1, -19]], [[1, 16]], [[1, -6]], [[1, -9]], [[1, 27]], [[1, -18]], [[1, -12]], [[1, -1]], [[1, 18]], [[1, -14]], [[1, 24]], [[1, 6]], [[1, -3]], [[1, 19]], [[1, 8]], [[1, 13]], [[1, 17]], [[1, 2]], [[1, 7]], [[1, 3]], [[1, 14]], [[1, -4]], [[1, 1]], [[1, 9]], [[1, -8]], [[1, 12]], [[1, 4]], [[1, -7]], [[1, -27]], [[1, -16]], [[1, -23]], [[1, 26]], [[1, -24]], [[1, 21]], [[1, -17]], [[1, -21]], [[1, 23]], [[1, -13]], [[1, -2]]]}
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id: 5699599
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 34, 'cyclotomic_n': 55, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '55.2', 'image_order': 55, 'indicator': 0, 'kernel': '55.a1', 'kernel_order': 2662, 'label': '146410.v.1g4', 'nt': [55, 40], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 22]], [[1, -11]], [[1, 11]], [[1, -22]], [[1, -22]], [[1, 22]], [[1, 11]], [[1, -11]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -25]], [[1, -15]], [[1, 15]], [[1, -5]], [[1, 20]], [[1, -20]], [[1, -10]], [[1, 10]], [[1, 5]], [[1, 25]], [[1, -5]], [[1, -25]], [[1, 25]], [[1, 5]], [[1, 20]], [[1, -20]], [[1, 10]], [[1, -10]], [[1, 15]], [[1, -15]], [[1, 5]], [[1, -20]], [[1, 10]], [[1, 15]], [[1, -5]], [[1, -10]], [[1, -15]], [[1, 20]], [[1, 25]], [[1, -25]], [[1, -4]], [[1, 7]], [[1, 27]], [[1, -7]], [[1, -14]], [[1, -1]], [[1, -12]], [[1, 12]], [[1, 4]], [[1, 16]], [[1, 21]], [[1, -2]], [[1, -9]], [[1, 19]], [[1, -19]], [[1, -27]], [[1, -3]], [[1, -16]], [[1, 3]], [[1, -18]], [[1, 13]], [[1, -26]], [[1, 23]], [[1, -17]], [[1, 26]], [[1, -8]], [[1, 1]], [[1, -6]], [[1, -13]], [[1, 18]], [[1, 24]], [[1, 6]], [[1, -21]], [[1, 8]], [[1, -23]], [[1, 17]], [[1, 14]], [[1, 2]], [[1, -24]], [[1, 9]], [[1, -13]], [[1, 18]], [[1, 8]], [[1, -3]], [[1, 23]], [[1, -14]], [[1, -9]], [[1, -6]], [[1, 27]], [[1, 9]], [[1, -7]], [[1, 12]], [[1, 3]], [[1, 26]], [[1, -18]], [[1, 4]], [[1, -21]], [[1, -19]], [[1, 1]], [[1, -24]], [[1, -26]], [[1, 7]], [[1, -2]], [[1, -27]], [[1, -23]], [[1, -4]], [[1, 6]], [[1, 2]], [[1, 24]], [[1, 14]], [[1, -8]], [[1, 16]], [[1, 13]], [[1, -12]], [[1, -17]], [[1, 19]], [[1, 17]], [[1, -16]], [[1, 21]], [[1, -1]]]}
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id: 5699639
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 70, 'cyclotomic_n': 55, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '55.2', 'image_order': 55, 'indicator': 0, 'kernel': '55.a1', 'kernel_order': 2662, 'label': '146410.v.1g40', 'nt': [55, 40], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 11]], [[1, 22]], [[1, -22]], [[1, -11]], [[1, -11]], [[1, 11]], [[1, -22]], [[1, 22]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -5]], [[1, -25]], [[1, 25]], [[1, 10]], [[1, 15]], [[1, -15]], [[1, 20]], [[1, -20]], [[1, -10]], [[1, 5]], [[1, 10]], [[1, -5]], [[1, 5]], [[1, -10]], [[1, 15]], [[1, -15]], [[1, -20]], [[1, 20]], [[1, 25]], [[1, -25]], [[1, -10]], [[1, -15]], [[1, -20]], [[1, 25]], [[1, 10]], [[1, 20]], [[1, -25]], [[1, 15]], [[1, 5]], [[1, -5]], [[1, 8]], [[1, -14]], [[1, 1]], [[1, 14]], [[1, -27]], [[1, 2]], [[1, 24]], [[1, -24]], [[1, -8]], [[1, 23]], [[1, 13]], [[1, 4]], [[1, 18]], [[1, 17]], [[1, -17]], [[1, -1]], [[1, 6]], [[1, -23]], [[1, -6]], [[1, -19]], [[1, -26]], [[1, -3]], [[1, 9]], [[1, -21]], [[1, 3]], [[1, 16]], [[1, -2]], [[1, 12]], [[1, 26]], [[1, 19]], [[1, 7]], [[1, -12]], [[1, -13]], [[1, -16]], [[1, -9]], [[1, 21]], [[1, 27]], [[1, -4]], [[1, -7]], [[1, -18]], [[1, 26]], [[1, 19]], [[1, -16]], [[1, 6]], [[1, 9]], [[1, -27]], [[1, 18]], [[1, 12]], [[1, 1]], [[1, -18]], [[1, 14]], [[1, -24]], [[1, -6]], [[1, 3]], [[1, -19]], [[1, -8]], [[1, -13]], [[1, -17]], [[1, -2]], [[1, -7]], [[1, -3]], [[1, -14]], [[1, 4]], [[1, -1]], [[1, -9]], [[1, 8]], [[1, -12]], [[1, -4]], [[1, 7]], [[1, 27]], [[1, 16]], [[1, 23]], [[1, -26]], [[1, 24]], [[1, -21]], [[1, 17]], [[1, 21]], [[1, -23]], [[1, 13]], [[1, 2]]]}
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id: 5699600
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 35, 'cyclotomic_n': 55, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '55.2', 'image_order': 55, 'indicator': 0, 'kernel': '55.a1', 'kernel_order': 2662, 'label': '146410.v.1g5', 'nt': [55, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, -22]], [[1, 11]], [[1, -11]], [[1, 22]], [[1, 22]], [[1, -22]], [[1, -11]], [[1, 11]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -20]], [[1, 10]], [[1, -10]], [[1, -15]], [[1, 5]], [[1, -5]], [[1, 25]], [[1, -25]], [[1, 15]], [[1, 20]], [[1, -15]], [[1, -20]], [[1, 20]], [[1, 15]], [[1, 5]], [[1, -5]], [[1, -25]], [[1, 25]], [[1, -10]], [[1, 10]], [[1, 15]], [[1, -5]], [[1, -25]], [[1, -10]], [[1, -15]], [[1, 25]], [[1, 10]], [[1, 5]], [[1, 20]], [[1, -20]], [[1, -1]], [[1, -12]], [[1, -7]], [[1, 12]], [[1, 24]], [[1, -14]], [[1, -3]], [[1, 3]], [[1, 1]], [[1, 4]], [[1, 19]], [[1, 27]], [[1, -16]], [[1, -9]], [[1, 9]], [[1, 7]], [[1, 13]], [[1, -4]], [[1, -13]], [[1, 23]], [[1, 17]], [[1, 21]], [[1, -8]], [[1, -18]], [[1, -21]], [[1, -2]], [[1, 14]], [[1, 26]], [[1, -17]], [[1, -23]], [[1, 6]], [[1, -26]], [[1, -19]], [[1, 2]], [[1, 8]], [[1, 18]], [[1, -24]], [[1, -27]], [[1, -6]], [[1, 16]], [[1, -17]], [[1, -23]], [[1, 2]], [[1, 13]], [[1, -8]], [[1, 24]], [[1, -16]], [[1, 26]], [[1, -7]], [[1, 16]], [[1, 12]], [[1, 3]], [[1, -13]], [[1, -21]], [[1, 23]], [[1, 1]], [[1, -19]], [[1, 9]], [[1, 14]], [[1, -6]], [[1, 21]], [[1, -12]], [[1, 27]], [[1, 7]], [[1, 8]], [[1, -1]], [[1, -26]], [[1, -27]], [[1, 6]], [[1, -24]], [[1, -2]], [[1, 4]], [[1, 17]], [[1, -3]], [[1, -18]], [[1, -9]], [[1, 18]], [[1, -4]], [[1, 19]], [[1, -14]]]}
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id: 5699601
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 36, 'cyclotomic_n': 55, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '55.2', 'image_order': 55, 'indicator': 0, 'kernel': '55.a1', 'kernel_order': 2662, 'label': '146410.v.1g6', 'nt': [55, 40], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 22]], [[1, -11]], [[1, 11]], [[1, -22]], [[1, -22]], [[1, 22]], [[1, 11]], [[1, -11]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 20]], [[1, -10]], [[1, 10]], [[1, 15]], [[1, -5]], [[1, 5]], [[1, -25]], [[1, 25]], [[1, -15]], [[1, -20]], [[1, 15]], [[1, 20]], [[1, -20]], [[1, -15]], [[1, -5]], [[1, 5]], [[1, 25]], [[1, -25]], [[1, 10]], [[1, -10]], [[1, -15]], [[1, 5]], [[1, 25]], [[1, 10]], [[1, 15]], [[1, -25]], [[1, -10]], [[1, -5]], [[1, -20]], [[1, 20]], [[1, 1]], [[1, 12]], [[1, 7]], [[1, -12]], [[1, -24]], [[1, 14]], [[1, 3]], [[1, -3]], [[1, -1]], [[1, -4]], [[1, -19]], [[1, -27]], [[1, 16]], [[1, 9]], [[1, -9]], [[1, -7]], [[1, -13]], [[1, 4]], [[1, 13]], [[1, -23]], [[1, -17]], [[1, -21]], [[1, 8]], [[1, 18]], [[1, 21]], [[1, 2]], [[1, -14]], [[1, -26]], [[1, 17]], [[1, 23]], [[1, -6]], [[1, 26]], [[1, 19]], [[1, -2]], [[1, -8]], [[1, -18]], [[1, 24]], [[1, 27]], [[1, 6]], [[1, -16]], [[1, 17]], [[1, 23]], [[1, -2]], [[1, -13]], [[1, 8]], [[1, -24]], [[1, 16]], [[1, -26]], [[1, 7]], [[1, -16]], [[1, -12]], [[1, -3]], [[1, 13]], [[1, 21]], [[1, -23]], [[1, -1]], [[1, 19]], [[1, -9]], [[1, -14]], [[1, 6]], [[1, -21]], [[1, 12]], [[1, -27]], [[1, -7]], [[1, -8]], [[1, 1]], [[1, 26]], [[1, 27]], [[1, -6]], [[1, 24]], [[1, 2]], [[1, -4]], [[1, -17]], [[1, 3]], [[1, 18]], [[1, 9]], [[1, -18]], [[1, 4]], [[1, -19]], [[1, 14]]]}
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id: 5699602
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id: 5699603
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id: 5699604
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id: 5699640
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id: 5699650
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id: 5699651
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 81, 'cyclotomic_n': 55, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '110.6', 'image_order': 110, 'indicator': 0, 'kernel': '110.a1', 'kernel_order': 1331, 'label': '146410.v.1h11', 'nt': [110, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, -22]], [[1, 11]], [[1, -11]], [[1, 22]], [[-1, 22]], [[-1, -22]], [[-1, -11]], [[-1, 11]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 15]], [[1, 20]], [[1, -20]], [[1, 25]], [[1, 10]], [[1, -10]], [[1, -5]], [[1, 5]], [[1, -25]], [[1, -15]], [[1, 25]], [[1, 15]], [[1, -15]], [[1, -25]], [[1, 10]], [[1, -10]], [[1, 5]], [[1, -5]], [[1, -20]], [[1, 20]], [[-1, -25]], [[-1, -10]], [[-1, 5]], [[-1, -20]], [[-1, 25]], [[-1, -5]], [[-1, 20]], [[-1, 10]], [[-1, -15]], [[-1, 15]], [[1, 9]], [[1, -2]], [[1, 8]], [[1, 2]], [[1, 4]], [[1, 16]], [[1, 27]], [[1, -27]], [[1, -9]], [[1, 19]], [[1, -6]], [[1, -23]], [[1, -21]], [[1, 26]], [[1, -26]], [[1, -8]], [[1, -7]], [[1, -19]], [[1, 7]], [[1, 13]], [[1, 12]], [[1, -24]], [[1, 17]], [[1, -3]], [[1, 24]], [[1, 18]], [[1, -16]], [[1, -14]], [[1, -12]], [[1, -13]], [[1, 1]], [[1, 14]], [[1, 6]], [[1, -18]], [[1, -17]], [[1, 3]], [[1, -4]], [[1, 23]], [[1, -1]], [[1, 21]], [[-1, -12]], [[-1, -13]], [[-1, -18]], [[-1, -7]], [[-1, 17]], [[-1, 4]], [[-1, -21]], [[-1, -14]], [[-1, 8]], [[-1, 21]], [[-1, 2]], [[-1, -27]], [[-1, 7]], [[-1, 24]], [[-1, 13]], [[-1, -9]], [[-1, 6]], [[-1, -26]], [[-1, -16]], [[-1, -1]], [[-1, -24]], [[-1, -2]], [[-1, -23]], [[-1, -8]], [[-1, -17]], [[-1, 9]], [[-1, 14]], [[-1, 23]], [[-1, 1]], [[-1, -4]], [[-1, 18]], [[-1, 19]], [[-1, 12]], [[-1, 27]], [[-1, -3]], [[-1, 26]], [[-1, 3]], [[-1, -19]], [[-1, -6]], [[-1, 16]]]}
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id: 5699652
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 82, 'cyclotomic_n': 55, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '110.6', 'image_order': 110, 'indicator': 0, 'kernel': '110.a1', 'kernel_order': 1331, 'label': '146410.v.1h12', 'nt': [110, 40], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 22]], [[1, -11]], [[1, 11]], [[1, -22]], [[-1, -22]], [[-1, 22]], [[-1, 11]], [[-1, -11]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -15]], [[1, -20]], [[1, 20]], [[1, -25]], [[1, -10]], [[1, 10]], [[1, 5]], [[1, -5]], [[1, 25]], [[1, 15]], [[1, -25]], [[1, -15]], [[1, 15]], [[1, 25]], [[1, -10]], [[1, 10]], [[1, -5]], [[1, 5]], [[1, 20]], [[1, -20]], [[-1, 25]], [[-1, 10]], [[-1, -5]], [[-1, 20]], [[-1, -25]], [[-1, 5]], [[-1, -20]], [[-1, -10]], [[-1, 15]], [[-1, -15]], [[1, -9]], [[1, 2]], [[1, -8]], [[1, -2]], [[1, -4]], [[1, -16]], [[1, -27]], [[1, 27]], [[1, 9]], [[1, -19]], [[1, 6]], [[1, 23]], [[1, 21]], [[1, -26]], [[1, 26]], [[1, 8]], [[1, 7]], [[1, 19]], [[1, -7]], [[1, -13]], [[1, -12]], [[1, 24]], [[1, -17]], [[1, 3]], [[1, -24]], [[1, -18]], [[1, 16]], [[1, 14]], [[1, 12]], [[1, 13]], [[1, -1]], [[1, -14]], [[1, -6]], [[1, 18]], [[1, 17]], [[1, -3]], [[1, 4]], [[1, -23]], [[1, 1]], [[1, -21]], [[-1, 12]], [[-1, 13]], [[-1, 18]], [[-1, 7]], [[-1, -17]], [[-1, -4]], [[-1, 21]], [[-1, 14]], [[-1, -8]], [[-1, -21]], [[-1, -2]], [[-1, 27]], [[-1, -7]], [[-1, -24]], [[-1, -13]], [[-1, 9]], [[-1, -6]], [[-1, 26]], [[-1, 16]], [[-1, 1]], [[-1, 24]], [[-1, 2]], [[-1, 23]], [[-1, 8]], [[-1, 17]], [[-1, -9]], [[-1, -14]], [[-1, -23]], [[-1, -1]], [[-1, 4]], [[-1, -18]], [[-1, -19]], [[-1, -12]], [[-1, -27]], [[-1, 3]], [[-1, -26]], [[-1, -3]], [[-1, 19]], [[-1, 6]], [[-1, -16]]]}
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id: 5699653
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 83, 'cyclotomic_n': 55, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '110.6', 'image_order': 110, 'indicator': 0, 'kernel': '110.a1', 'kernel_order': 1331, 'label': '146410.v.1h13', 'nt': [110, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, -22]], [[1, 11]], [[1, -11]], [[1, 22]], [[-1, 22]], [[-1, -22]], [[-1, -11]], [[-1, 11]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -10]], [[1, 5]], [[1, -5]], [[1, 20]], [[1, -25]], [[1, 25]], [[1, -15]], [[1, 15]], [[1, -20]], [[1, 10]], [[1, 20]], [[1, -10]], [[1, 10]], [[1, -20]], [[1, -25]], [[1, 25]], [[1, 15]], [[1, -15]], [[1, -5]], [[1, 5]], [[-1, -20]], [[-1, 25]], [[-1, 15]], [[-1, -5]], [[-1, 20]], [[-1, -15]], [[-1, 5]], [[-1, -25]], [[-1, 10]], [[-1, -10]], [[1, -6]], [[1, -17]], [[1, 13]], [[1, 17]], [[1, -21]], [[1, 26]], [[1, -18]], [[1, 18]], [[1, 6]], [[1, 24]], [[1, 4]], [[1, -3]], [[1, 14]], [[1, 1]], [[1, -1]], [[1, -13]], [[1, 23]], [[1, -24]], [[1, -23]], [[1, -27]], [[1, -8]], [[1, 16]], [[1, 7]], [[1, 2]], [[1, -16]], [[1, -12]], [[1, -26]], [[1, -9]], [[1, 8]], [[1, 27]], [[1, -19]], [[1, 9]], [[1, -4]], [[1, 12]], [[1, -7]], [[1, -2]], [[1, 21]], [[1, 3]], [[1, 19]], [[1, -14]], [[-1, 8]], [[-1, 27]], [[-1, 12]], [[-1, 23]], [[-1, 7]], [[-1, -21]], [[-1, 14]], [[-1, -9]], [[-1, 13]], [[-1, -14]], [[-1, 17]], [[-1, 18]], [[-1, -23]], [[-1, -16]], [[-1, -27]], [[-1, 6]], [[-1, -4]], [[-1, -1]], [[-1, -26]], [[-1, 19]], [[-1, 16]], [[-1, -17]], [[-1, -3]], [[-1, -13]], [[-1, -7]], [[-1, -6]], [[-1, 9]], [[-1, 3]], [[-1, -19]], [[-1, 21]], [[-1, -12]], [[-1, 24]], [[-1, -8]], [[-1, -18]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -24]], [[-1, 4]], [[-1, 26]]]}
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id: 5699654
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id: 5699655
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id: 5699656
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id: 5699657
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id: 5699658
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id: 5699659
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id: 5699641
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id: 5699661
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id: 5699662
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id: 5699663
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id: 5699664
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id: 5699665
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id: 5699666
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id: 5699667
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id: 5699668
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id: 5699669
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 98, 'cyclotomic_n': 55, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '110.6', 'image_order': 110, 'indicator': 0, 'kernel': '110.a1', 'kernel_order': 1331, 'label': '146410.v.1h28', 'nt': [110, 40], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 11]], [[1, 22]], [[1, -22]], [[1, -11]], [[-1, -11]], [[-1, 11]], [[-1, -22]], [[-1, 22]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -20]], [[1, 10]], [[1, -10]], [[1, -15]], [[1, 5]], [[1, -5]], [[1, 25]], [[1, -25]], [[1, 15]], [[1, 20]], [[1, -15]], [[1, -20]], [[1, 20]], [[1, 15]], [[1, 5]], [[1, -5]], [[1, -25]], [[1, 25]], [[1, -10]], [[1, 10]], [[-1, 15]], [[-1, -5]], [[-1, -25]], [[-1, -10]], [[-1, -15]], [[-1, 25]], [[-1, 10]], [[-1, 5]], [[-1, 20]], [[-1, -20]], [[1, -12]], [[1, 21]], [[1, 26]], [[1, -21]], [[1, 13]], [[1, -3]], [[1, 19]], [[1, -19]], [[1, 12]], [[1, -7]], [[1, 8]], [[1, -6]], [[1, -27]], [[1, 2]], [[1, -2]], [[1, -26]], [[1, -9]], [[1, 7]], [[1, 9]], [[1, 1]], [[1, -16]], [[1, -23]], [[1, 14]], [[1, 4]], [[1, 23]], [[1, -24]], [[1, 3]], [[1, -18]], [[1, 16]], [[1, -1]], [[1, 17]], [[1, 18]], [[1, -8]], [[1, 24]], [[1, -14]], [[1, -4]], [[1, -13]], [[1, 6]], [[1, -17]], [[1, 27]], [[-1, 16]], [[-1, -1]], [[-1, 24]], [[-1, -9]], [[-1, 14]], [[-1, 13]], [[-1, -27]], [[-1, -18]], [[-1, 26]], [[-1, 27]], [[-1, -21]], [[-1, -19]], [[-1, 9]], [[-1, 23]], [[-1, 1]], [[-1, 12]], [[-1, -8]], [[-1, -2]], [[-1, 3]], [[-1, -17]], [[-1, -23]], [[-1, 21]], [[-1, -6]], [[-1, -26]], [[-1, -14]], [[-1, -12]], [[-1, 18]], [[-1, 6]], [[-1, 17]], [[-1, -13]], [[-1, -24]], [[-1, -7]], [[-1, -16]], [[-1, 19]], [[-1, 4]], [[-1, 2]], [[-1, -4]], [[-1, 7]], [[-1, 8]], [[-1, -3]]]}
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id: 5699670
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id: 5699642
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id: 5699540
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id: 5699541
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id: 5699542
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id: 5699543
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id: 5699544
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id: 5699545
{'center': '1.a1', 'center_index': 1, 'center_order': 146410, 'counter': 105, 'cyclotomic_n': 55, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '110.6', 'image_order': 110, 'indicator': 0, 'kernel': '110.a1', 'kernel_order': 1331, 'label': '146410.v.1h35', 'nt': [110, 0], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, -11]], [[1, -22]], [[1, 22]], [[1, 11]], [[-1, 11]], [[-1, -11]], [[-1, 22]], [[-1, -22]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 10]], [[1, -5]], [[1, 5]], [[1, -20]], [[1, 25]], [[1, -25]], [[1, 15]], [[1, -15]], [[1, 20]], [[1, -10]], [[1, -20]], [[1, 10]], [[1, -10]], [[1, 20]], [[1, 25]], [[1, -25]], [[1, -15]], [[1, 15]], [[1, 5]], [[1, -5]], [[-1, 20]], [[-1, -25]], [[-1, -15]], [[-1, 5]], [[-1, -20]], [[-1, 15]], [[-1, -5]], [[-1, 25]], [[-1, -10]], [[-1, 10]], [[1, 17]], [[1, -16]], [[1, 9]], [[1, 16]], [[1, -23]], [[1, 18]], [[1, -4]], [[1, 4]], [[1, -17]], [[1, -13]], [[1, 7]], [[1, -19]], [[1, -3]], [[1, -12]], [[1, 12]], [[1, -9]], [[1, -1]], [[1, 13]], [[1, 1]], [[1, -6]], [[1, -14]], [[1, -27]], [[1, 26]], [[1, -24]], [[1, 27]], [[1, -21]], [[1, -18]], [[1, -2]], [[1, 14]], [[1, 6]], [[1, 8]], [[1, 2]], [[1, -7]], [[1, 21]], [[1, -26]], [[1, 24]], [[1, 23]], [[1, 19]], [[1, -8]], [[1, 3]], [[-1, 14]], [[-1, 6]], [[-1, 21]], [[-1, -1]], [[-1, 26]], [[-1, -23]], [[-1, -3]], [[-1, -2]], [[-1, 9]], [[-1, 3]], [[-1, 16]], [[-1, 4]], [[-1, 1]], [[-1, 27]], [[-1, -6]], [[-1, -17]], [[-1, -7]], [[-1, 12]], [[-1, -18]], [[-1, -8]], [[-1, -27]], [[-1, -16]], [[-1, -19]], [[-1, -9]], [[-1, -26]], [[-1, 17]], [[-1, 2]], [[-1, 19]], [[-1, 8]], [[-1, 23]], [[-1, -21]], [[-1, -13]], [[-1, -14]], [[-1, -4]], [[-1, -24]], [[-1, -12]], [[-1, 24]], [[-1, 13]], [[-1, 7]], [[-1, 18]]]}
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id: 5699546
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id: 5699547
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id: 5699548
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id: 5699549
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id: 5699643
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id: 5699551
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id: 5699644
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id: 5699645
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id: 5699646
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id: 5699647
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id: 5699648
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id: 5699552
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id: 5699553
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id: 5699563
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id: 5699554
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id: 5699555
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id: 5699556
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id: 5699557
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id: 5699558
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id: 5699559
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id: 5699560
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id: 5699562
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id: 5699564
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id: 5699565
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id: 5699566
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id: 5699567
{'center': '146410.a1', 'center_index': 146410, 'center_order': 1, 'counter': 125, 'cyclotomic_n': 1, 'dim': 110, 'faithful': True, 'field': [0, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '146410.v', 'image_order': 146410, 'indicator': 1, 'kernel': '146410.a1', 'kernel_order': 1, 'label': '146410.v.110d', 'nt': [121, 0], 'q_character': None, 'values': [[[110, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-11, 0]], [[-11, 0]], [[11, 0]], [[-11, 0]], [[11, 0]], [[-11, 0]], [[11, 0]], [[11, 0]], [[0, 0]], [[-11, 0]], [[11, 0]], [[0, 0]], [[-11, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 5699568
{'center': '146410.a1', 'center_index': 146410, 'center_order': 1, 'counter': 126, 'cyclotomic_n': 1, 'dim': 110, 'faithful': True, 'field': [0, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '146410.v', 'image_order': 146410, 'indicator': 1, 'kernel': '146410.a1', 'kernel_order': 1, 'label': '146410.v.110e', 'nt': [121, 0], 'q_character': None, 'values': [[[110, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-11, 0]], [[-11, 0]], [[11, 0]], [[11, 0]], [[0, 0]], [[-11, 0]], [[11, 0]], [[-11, 0]], [[0, 0]], [[11, 0]], [[-11, 0]], [[-11, 0]], [[11, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 5699569
{'center': '146410.a1', 'center_index': 146410, 'center_order': 1, 'counter': 127, 'cyclotomic_n': 1, 'dim': 110, 'faithful': True, 'field': [0, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '146410.v', 'image_order': 146410, 'indicator': 1, 'kernel': '146410.a1', 'kernel_order': 1, 'label': '146410.v.110f', 'nt': [121, 0], 'q_character': None, 'values': [[[110, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-11, 0]], [[0, 0]], [[-11, 0]], [[-11, 0]], [[11, 0]], [[11, 0]], [[11, 0]], [[-11, 0]], [[0, 0]], [[11, 0]], [[-11, 0]], [[11, 0]], [[-11, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 5699570
{'center': '146410.a1', 'center_index': 146410, 'center_order': 1, 'counter': 128, 'cyclotomic_n': 1, 'dim': 110, 'faithful': True, 'field': [0, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '146410.v', 'image_order': 146410, 'indicator': 1, 'kernel': '146410.a1', 'kernel_order': 1, 'label': '146410.v.110g', 'nt': [121, 0], 'q_character': None, 'values': [[[110, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-11, 0]], [[11, 0]], [[-11, 0]], [[-11, 0]], [[11, 0]], [[-11, 0]], [[-11, 0]], [[0, 0]], [[0, 0]], [[11, 0]], [[11, 0]], [[-11, 0]], [[11, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 5699571
{'center': '146410.a1', 'center_index': 146410, 'center_order': 1, 'counter': 129, 'cyclotomic_n': 1, 'dim': 110, 'faithful': True, 'field': [0, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '146410.v', 'image_order': 146410, 'indicator': 1, 'kernel': '146410.a1', 'kernel_order': 1, 'label': '146410.v.110h', 'nt': [121, 0], 'q_character': None, 'values': [[[110, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-11, 0]], [[11, 0]], [[-11, 0]], [[11, 0]], [[-11, 0]], [[-11, 0]], [[11, 0]], [[-11, 0]], [[0, 0]], [[-11, 0]], [[11, 0]], [[11, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 5699573
{'center': '146410.a1', 'center_index': 146410, 'center_order': 1, 'counter': 130, 'cyclotomic_n': 1, 'dim': 110, 'faithful': True, 'field': [0, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '146410.v', 'image_order': 146410, 'indicator': 1, 'kernel': '146410.a1', 'kernel_order': 1, 'label': '146410.v.110i', 'nt': [121, 0], 'q_character': None, 'values': [[[110, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-11, 0]], [[11, 0]], [[0, 0]], [[-11, 0]], [[-11, 0]], [[11, 0]], [[11, 0]], [[11, 0]], [[0, 0]], [[-11, 0]], [[-11, 0]], [[-11, 0]], [[11, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 5699574
{'center': '146410.a1', 'center_index': 146410, 'center_order': 1, 'counter': 131, 'cyclotomic_n': 1, 'dim': 110, 'faithful': True, 'field': [0, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '146410.v', 'image_order': 146410, 'indicator': 1, 'kernel': '146410.a1', 'kernel_order': 1, 'label': '146410.v.110j', 'nt': [121, 0], 'q_character': None, 'values': [[[110, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-11, 0]], [[11, 0]], [[11, 0]], [[0, 0]], [[-11, 0]], [[-11, 0]], [[-11, 0]], [[11, 0]], [[0, 0]], [[11, 0]], [[-11, 0]], [[11, 0]], [[-11, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 5699575
{'center': '146410.a1', 'center_index': 146410, 'center_order': 1, 'counter': 132, 'cyclotomic_n': 1, 'dim': 110, 'faithful': True, 'field': [0, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '146410.v', 'image_order': 146410, 'indicator': 1, 'kernel': '146410.a1', 'kernel_order': 1, 'label': '146410.v.110k', 'nt': [121, 0], 'q_character': None, 'values': [[[110, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-11, 0]], [[11, 0]], [[11, 0]], [[11, 0]], [[11, 0]], [[11, 0]], [[-11, 0]], [[-11, 0]], [[0, 0]], [[-11, 0]], [[0, 0]], [[-11, 0]], [[-11, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 5699576
{'center': '13310.a1', 'center_index': 13310, 'center_order': 11, 'counter': 133, 'cyclotomic_n': 1, 'dim': 110, 'faithful': False, 'field': [0, 1], 'group': '146410.v', 'group_counter': 22, 'group_order': 146410, 'image': None, 'image_isoclass': '13310.bf', 'image_order': 13310, 'indicator': 1, 'kernel': '13310.a1', 'kernel_order': 11, 'label': '146410.v.110l', 'nt': [121, 0], 'q_character': None, 'values': [[[110, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[110, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-11, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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gps_subgroup_search • Show schema
Hide schema
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id: 62000266
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': True, 'core_order': 146410, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 110, 'label': '146410.v.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0', 'R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '146410.v', 'subgroup_hash': 6028564036884513771, 'subgroup_order': 146410, 'subgroup_tex': 'C_{11}^3:C_{110}', 'supersolvable': True, 'sylow': 0}
-
id: 62000277
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': True, 'core_order': 73205, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 55, 'label': '146410.v.2.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1', 'C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '73205.h', 'subgroup_hash': 2062898170576824880, 'subgroup_order': 73205, 'subgroup_tex': 'C_{11}^3:C_{55}', 'supersolvable': True, 'sylow': 0}
-
id: 62000288
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': True, 'core_order': 29282, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 22, 'label': '146410.v.5.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '5.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '5.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 5, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '29282.j', 'subgroup_hash': 6558000132988726863, 'subgroup_order': 29282, 'subgroup_tex': 'C_{11}^3:C_{22}', 'supersolvable': True, 'sylow': 0}
-
id: 62000299
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 11, 'characteristic': True, 'core_order': 14641, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 11, 'label': '146410.v.10.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '10.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': ['F', 'C2', 'F', 'C2'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '14641.7', 'subgroup_hash': 7, 'subgroup_order': 14641, 'subgroup_tex': 'C_{11}^3:C_{11}', 'supersolvable': True, 'sylow': 11}
-
id: 62000310
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': True, 'core_order': 13310, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '146410.v.11.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '11.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '11.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 11, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bq', 'subgroup_hash': 423336287738452335, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 62000313
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1331, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.v.11.b1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11, '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': '13310.bf', 'subgroup_hash': 7716340785735456673, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:C_{110}', 'supersolvable': True, 'sylow': 0}
-
id: 62000314
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': True, 'core_order': 6655, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '146410.v.22.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '22.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '22.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 22, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{22}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '6655.17', 'subgroup_hash': 17, 'subgroup_order': 6655, 'subgroup_tex': 'C_{11}^3:C_5', 'supersolvable': True, 'sylow': 0}
-
id: 62000315
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1331, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.v.22.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 22, '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': '6655.23', 'subgroup_hash': 23, 'subgroup_order': 6655, 'subgroup_tex': 'C_{11}^2:C_{55}', 'supersolvable': True, 'sylow': 0}
-
id: 62000316
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': True, 'core_order': 2662, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '146410.v.55.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '55.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '55.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 55, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{55}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '2662.12', 'subgroup_hash': 12, 'subgroup_order': 2662, 'subgroup_tex': 'C_{11}^3:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 62000267
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1331, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.v.55.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '55.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 55, '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': '2662.14', 'subgroup_hash': 14, 'subgroup_order': 2662, 'subgroup_tex': 'C_{11}^2:C_{22}', 'supersolvable': True, 'sylow': 0}
-
id: 62000268
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 1331, 'characteristic': True, 'core_order': 1331, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '146410.v.110.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '110.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '110.6', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 110, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{110}', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'C3', 'D', 'L1', 'D1', 'C3'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1331.5', 'subgroup_hash': 5, 'subgroup_order': 1331, 'subgroup_tex': 'C_{11}^3', 'supersolvable': True, 'sylow': 0}
-
id: 62000269
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 11, 'characteristic': True, 'core_order': 1331, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '146410.v.110.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '110.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '110.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 110, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'F_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1331.3', 'subgroup_hash': 3, 'subgroup_order': 1331, 'subgroup_tex': '\\He_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 62000270
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 11, 'characteristic': False, 'core_order': 121, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.v.110.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '110.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, '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': '1331.3', 'subgroup_hash': 3, 'subgroup_order': 1331, 'subgroup_tex': '\\He_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 62000271
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 11, 'characteristic': False, 'core_order': 11, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.v.121.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '121.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 121, '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': '1210.8', 'subgroup_hash': 8, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}\\times F_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 62000272
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 121, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.v.121.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '121.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 121, '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': '1210.9', 'subgroup_hash': 9, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 62000273
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 11, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.v.121.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '121.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 121, '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': '1210.9', 'subgroup_hash': 9, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 62000274
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.v.121.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '121.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 121, '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': '1210.9', 'subgroup_hash': 9, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 62000275
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 11, 'characteristic': False, 'core_order': 11, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.v.242.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '242.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 242, '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': '605.3', 'subgroup_hash': 3, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}:C_{55}', 'supersolvable': True, 'sylow': 0}
-
id: 62000276
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 121, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.v.242.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '242.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 242, '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': '605.4', 'subgroup_hash': 4, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}^2:C_5', 'supersolvable': True, 'sylow': 0}
-
id: 62000278
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 11, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.v.242.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '242.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 242, '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': '605.4', 'subgroup_hash': 4, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}^2:C_5', 'supersolvable': True, 'sylow': 0}
-
id: 62000279
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.v.242.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '242.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 242, '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': '605.4', 'subgroup_hash': 4, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}^2:C_5', 'supersolvable': True, 'sylow': 0}
-
id: 62000280
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 11, 'characteristic': False, 'core_order': 11, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.v.605.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '605.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 605, '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': '242.3', 'subgroup_hash': 3, 'subgroup_order': 242, 'subgroup_tex': 'C_{11}\\times D_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 62000281
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 121, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.v.605.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '605.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 605, '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': '242.4', 'subgroup_hash': 4, 'subgroup_order': 242, 'subgroup_tex': 'C_{11}:D_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 62000282
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 11, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.v.605.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '605.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 605, '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': '242.4', 'subgroup_hash': 4, 'subgroup_order': 242, 'subgroup_tex': 'C_{11}:D_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 62000283
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.v.605.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '605.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 605, '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': '242.4', 'subgroup_hash': 4, 'subgroup_order': 242, 'subgroup_tex': 'C_{11}:D_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 62000284
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 1331, 'characteristic': True, 'core_order': 121, 'counter': 26, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '146410.v.1210.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1210.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1210.8', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1210, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}\\times F_{11}', 'simple': False, 'solvable': True, 'special_labels': ['Phi', 'C4', 'Phi', 'C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '121.2', 'subgroup_hash': 2, 'subgroup_order': 121, 'subgroup_tex': 'C_{11}^2', 'supersolvable': True, 'sylow': 0}
-
id: 62000285
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 1331, 'characteristic': False, 'core_order': 11, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.v.1210.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1210.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1210, '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': '121.2', 'subgroup_hash': 2, 'subgroup_order': 121, 'subgroup_tex': 'C_{11}^2', 'supersolvable': True, 'sylow': 0}
-
id: 62000286
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 121, 'characteristic': False, 'core_order': 11, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.v.1210.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1210.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1210, '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': '121.2', 'subgroup_hash': 2, 'subgroup_order': 121, 'subgroup_tex': 'C_{11}^2', 'supersolvable': True, 'sylow': 0}
-
id: 62000287
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 121, 'characteristic': False, 'core_order': 11, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.v.1210.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1210.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1210, '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': '121.2', 'subgroup_hash': 2, 'subgroup_order': 121, 'subgroup_tex': 'C_{11}^2', 'supersolvable': True, 'sylow': 0}
-
id: 62000289
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 1331, 'characteristic': False, 'core_order': 1, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.v.1210.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1210.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1210, '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': '121.2', 'subgroup_hash': 2, 'subgroup_order': 121, 'subgroup_tex': 'C_{11}^2', 'supersolvable': True, 'sylow': 0}
-
id: 62000290
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 110, 'characteristic': False, 'core_order': 1, 'counter': 31, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '146410.v.1331.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1331.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1331, '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': '110.6', 'subgroup_hash': 6, 'subgroup_order': 110, 'subgroup_tex': 'C_{110}', 'supersolvable': True, 'sylow': 0}
-
id: 62000291
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 11, 'characteristic': False, 'core_order': 11, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.v.1331.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1331.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1331, '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': '110.1', 'subgroup_hash': 1, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 62000292
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.v.1331.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1331.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1331, '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': '110.1', 'subgroup_hash': 1, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 62000293
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.v.1331.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1331.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1331, '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': '110.1', 'subgroup_hash': 1, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 62000294
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 110, 'characteristic': False, 'core_order': 1, 'counter': 35, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '146410.v.2662.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2662.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2662, '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': '55.2', 'subgroup_hash': 2, 'subgroup_order': 55, 'subgroup_tex': 'C_{55}', 'supersolvable': True, 'sylow': 0}
-
id: 62000295
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 11, 'characteristic': False, 'core_order': 11, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.v.2662.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2662.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2662, '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': '55.1', 'subgroup_hash': 1, 'subgroup_order': 55, 'subgroup_tex': 'C_{11}:C_5', 'supersolvable': True, 'sylow': 0}
-
id: 62000296
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.v.2662.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2662.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2662, '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': '55.1', 'subgroup_hash': 1, 'subgroup_order': 55, 'subgroup_tex': 'C_{11}:C_5', 'supersolvable': True, 'sylow': 0}
-
id: 62000297
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.v.2662.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2662.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2662, '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': '55.1', 'subgroup_hash': 1, 'subgroup_order': 55, 'subgroup_tex': 'C_{11}:C_5', 'supersolvable': True, 'sylow': 0}
-
id: 62000298
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 110, 'characteristic': False, 'core_order': 1, 'counter': 39, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '146410.v.6655.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6655.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6655, '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': '22.2', 'subgroup_hash': 2, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
-
id: 62000300
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 11, 'characteristic': False, 'core_order': 11, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.v.6655.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6655.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6655, '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': '22.1', 'subgroup_hash': 1, 'subgroup_order': 22, 'subgroup_tex': 'D_{11}', 'supersolvable': True, 'sylow': 0}
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id: 62000301
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.v.6655.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6655.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6655, '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': '22.1', 'subgroup_hash': 1, 'subgroup_order': 22, 'subgroup_tex': 'D_{11}', 'supersolvable': True, 'sylow': 0}
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id: 62000302
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '146410.v.6655.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6655.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6655, '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': '22.1', 'subgroup_hash': 1, 'subgroup_order': 22, 'subgroup_tex': 'D_{11}', 'supersolvable': True, 'sylow': 0}
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id: 62000303
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 14641, 'characteristic': True, 'core_order': 11, 'counter': 43, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '146410.v.13310.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '13310.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '13310.bf', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7716340785735456673, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 13310, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}^2:C_{110}', 'simple': True, 'solvable': True, 'special_labels': ['S', 'C5', 'S', 'C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
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id: 62000304
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 1331, 'characteristic': False, 'core_order': 1, 'counter': 44, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '146410.v.13310.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '13310.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
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id: 62000305
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 1331, 'characteristic': False, 'core_order': 1, 'counter': 45, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '146410.v.13310.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '13310.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
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id: 62000306
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 1210, 'characteristic': False, 'core_order': 1, 'counter': 46, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '146410.v.13310.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '13310.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
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id: 62000307
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 121, 'characteristic': False, 'core_order': 1, 'counter': 47, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '146410.v.13310.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '13310.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
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id: 62000308
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 110, 'characteristic': False, 'core_order': 1, 'counter': 48, 'cyclic': True, 'direct': None, 'hall': 10, 'label': '146410.v.14641.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14641.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14641, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 62000309
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 110, 'characteristic': False, 'core_order': 1, 'counter': 49, 'cyclic': True, 'direct': None, 'hall': 5, 'label': '146410.v.29282.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '29282.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 29282, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 5}
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id: 62000311
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': False, 'central_factor': False, 'centralizer_order': 110, 'characteristic': False, 'core_order': 1, 'counter': 50, 'cyclic': True, 'direct': None, 'hall': 2, 'label': '146410.v.73205.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '73205.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 73205, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 2}
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id: 62000312
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '146410.v', 'ambient_counter': 22, 'ambient_order': 146410, 'ambient_tex': 'C_{11}^3:C_{110}', 'central': True, 'central_factor': False, 'centralizer_order': 146410, 'characteristic': True, 'core_order': 1, 'counter': 51, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '146410.v.146410.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '146410.a1', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '146410.v', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6028564036884513771, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 146410, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}^3:C_{110}', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'PC', 'U0', 'D2', 'C6', 'Z', 'PC', 'U0', 'D2', 'C6'], '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: 62000266
{'ambient': '146410.v', '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': '146410.a1', 'complements': ['146410.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '5.a1', '11.a1', '11.b1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4168, 5309, 4840, 4642], 'generators': [55, 13310, 10, 110, 22, 81070], 'label': '146410.v.1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '5.a1', '11.a1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '146410.v', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1', 'subgroup_fusion': None, 'weyl_group': '146410.v'}
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id: 62000267
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '55.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '146410.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['5.a1', '11.b1'], 'contains': ['110.b1', '605.a1', '605.b1'], 'core': '110.b1', 'coset_action_label': None, 'count': 11, 'diagramx': [4180, -1, 2859, -1], 'generators': [55, 81070, 13310, 10], 'label': '146410.v.55.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.b1', 'old_label': '55.b1', 'projective_image': '146410.v', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55.b1', 'subgroup_fusion': None, 'weyl_group': '13310.bf'}
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id: 62000268
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '110.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '110.a1', 'complements': ['1331.a1'], 'conjugacy_class_count': 1, 'contained_in': ['10.a1', '22.a1', '55.a1'], 'contains': ['1210.a1', '1210.b1', '1210.e1'], 'core': '110.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5838, 4075, 7816, 5137], 'generators': [110, 13310, 81070], 'label': '146410.v.110.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '110.a1', 'normal_contained_in': ['10.a1', '22.a1', '55.a1'], 'normal_contains': ['1210.a1'], 'normalizer': '1.a1', 'old_label': '110.a1', 'projective_image': '146410.v', 'quotient_action_image': '110.6', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '110.a1', 'subgroup_fusion': None, 'weyl_group': '110.6'}
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id: 62000269
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '110.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '13310.a1', 'complements': ['1331.d1'], 'conjugacy_class_count': 1, 'contained_in': ['10.a1', '22.b1', '55.b1'], 'contains': ['1210.a1', '1210.c1'], 'core': '110.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3283, 1701, 2864, 7188], 'generators': [10, 81070], 'label': '146410.v.110.b1', 'mobius_quo': 0, 'mobius_sub': -11, 'normal_closure': '110.b1', 'normal_contained_in': ['10.a1'], 'normal_contains': ['1210.a1'], 'normalizer': '1.a1', 'old_label': '110.b1', 'projective_image': '146410.v', 'quotient_action_image': '110.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '110.b1', 'subgroup_fusion': None, 'weyl_group': '13310.bf'}
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id: 62000270
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '110.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '13310.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['10.a1'], 'contains': ['1210.a1', '1210.d1'], 'core': '1210.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [1815, -1, 3375, -1], 'generators': [120, 81070], 'label': '146410.v.110.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.a1', 'old_label': '110.c1', 'projective_image': '146410.v', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110.c1', 'subgroup_fusion': None, 'weyl_group': '1331.3'}
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id: 62000271
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '121.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '13310.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['11.b1'], 'contains': ['242.a1', '605.a1', '1331.a1', '1331.b1'], 'core': '13310.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [2683, -1, 2030, -1], 'generators': [55, 10, 13310, 22], 'label': '146410.v.121.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '121.a1', 'projective_image': '146410.v', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '121.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
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id: 62000272
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '121.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '146410.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['11.a1', '11.b1'], 'contains': ['242.b1', '605.b1', '1331.b1', '1331.c1'], 'core': '1210.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [5226, -1, 5168, -1], 'generators': [55, 81070, 13310, 22], 'label': '146410.v.121.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '11.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.b1', 'old_label': '121.b1', 'projective_image': '146410.v', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '121.b1', 'subgroup_fusion': None, 'weyl_group': '13310.bf'}
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id: 62000273
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '121.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '146410.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['11.a1'], 'contains': ['242.c1', '605.c1', '1331.b1', '1331.d1'], 'core': '13310.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [8083, -1, 6038, -1], 'generators': [55, 110, 13310, 22], 'label': '146410.v.121.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '11.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.c1', 'old_label': '121.c1', 'projective_image': '146410.v', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '121.c1', 'subgroup_fusion': None, 'weyl_group': '1210.9'}
-
id: 62000274
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '121.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '146410.a1', 'complements': None, 'conjugacy_class_count': 11, 'contained_in': ['11.a1'], 'contains': ['242.d1', '605.d1', '1331.c1', '1331.d1'], 'core': '146410.a1', 'coset_action_label': None, 'count': 1331, 'diagramx': [9295, -1, 8373, -1], 'generators': [55, 110, 81070, 22], 'label': '146410.v.121.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '11.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.d1', 'old_label': '121.d1', 'projective_image': '146410.v', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '121.d1', 'subgroup_fusion': None, 'weyl_group': '1210.9'}
-
id: 62000275
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '242.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '13310.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['22.b1', '121.a1'], 'contains': ['1210.c1', '2662.a1', '2662.b1'], 'core': '13310.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [1529, -1, 2030, -1], 'generators': [22, 13310, 10], 'label': '146410.v.242.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '242.a1', 'projective_image': '146410.v', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '242.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
-
id: 62000276
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '242.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '146410.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['22.a1', '22.b1', '121.b1'], 'contains': ['1210.a1', '2662.b1', '2662.c1'], 'core': '1210.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [4365, -1, 5215, -1], 'generators': [22, 13310, 81070], 'label': '146410.v.242.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '22.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.b1', 'old_label': '242.b1', 'projective_image': '146410.v', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '242.b1', 'subgroup_fusion': None, 'weyl_group': '13310.bf'}
-
id: 62000277
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '2.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '146410.a1', 'complements': ['73205.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['10.a1', '22.a1', '22.b1'], 'core': '2.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3800, 2501, 5382, 4642], 'generators': [22, 110, 81070, 10, 13310], 'label': '146410.v.2.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['10.a1', '22.a1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': '146410.v', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.a1', 'subgroup_fusion': None, 'weyl_group': '146410.v'}
-
id: 62000278
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '242.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '146410.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['22.a1', '121.c1'], 'contains': ['1210.b1', '2662.b1', '2662.d1'], 'core': '13310.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [6812, -1, 7164, -1], 'generators': [22, 13310, 110], 'label': '146410.v.242.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '22.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.c1', 'old_label': '242.c1', 'projective_image': '146410.v', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '242.c1', 'subgroup_fusion': None, 'weyl_group': '1210.9'}
-
id: 62000279
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '242.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '146410.a1', 'complements': None, 'conjugacy_class_count': 11, 'contained_in': ['22.a1', '121.d1'], 'contains': ['1210.e1', '2662.c1', '2662.d1'], 'core': '146410.a1', 'coset_action_label': None, 'count': 1331, 'diagramx': [8808, -1, 9682, -1], 'generators': [22, 81070, 53350], 'label': '146410.v.242.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '22.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.d1', 'old_label': '242.d1', 'projective_image': '146410.v', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '242.d1', 'subgroup_fusion': None, 'weyl_group': '1210.9'}
-
id: 62000280
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '605.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '13310.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['55.b1', '121.a1'], 'contains': ['1210.c1', '6655.a1', '6655.b1'], 'core': '13310.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [2249, -1, 956, -1], 'generators': [55, 13310, 10], 'label': '146410.v.605.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '605.a1', 'projective_image': '146410.v', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
-
id: 62000281
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '605.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '146410.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['55.a1', '55.b1', '121.b1'], 'contains': ['1210.a1', '6655.b1', '6655.c1'], 'core': '1210.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [5059, -1, 4470, -1], 'generators': [55, 13310, 81070], 'label': '146410.v.605.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '55.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.b1', 'old_label': '605.b1', 'projective_image': '146410.v', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605.b1', 'subgroup_fusion': None, 'weyl_group': '13310.bf'}
-
id: 62000282
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '605.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '146410.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['55.a1', '121.c1'], 'contains': ['1210.b1', '6655.b1', '6655.d1'], 'core': '13310.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [7507, -1, 6419, -1], 'generators': [55, 13310, 110], 'label': '146410.v.605.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '55.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.c1', 'old_label': '605.c1', 'projective_image': '146410.v', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605.c1', 'subgroup_fusion': None, 'weyl_group': '1210.9'}
-
id: 62000283
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '605.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '146410.a1', 'complements': None, 'conjugacy_class_count': 11, 'contained_in': ['55.a1', '121.d1'], 'contains': ['1210.e1', '6655.c1', '6655.d1'], 'core': '146410.a1', 'coset_action_label': None, 'count': 1331, 'diagramx': [9729, -1, 8936, -1], 'generators': [55, 81070, 133210], 'label': '146410.v.605.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '55.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.d1', 'old_label': '605.d1', 'projective_image': '146410.v', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605.d1', 'subgroup_fusion': None, 'weyl_group': '1210.9'}
-
id: 62000284
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '1210.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '110.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['110.a1', '110.b1', '110.c1', '242.b1', '605.b1'], 'contains': ['13310.a1', '13310.b1'], 'core': '1210.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4049, 2888, 4913, 6057], 'generators': [81070, 13310], 'label': '146410.v.1210.a1', 'mobius_quo': 0, 'mobius_sub': 11, 'normal_closure': '1210.a1', 'normal_contained_in': ['110.a1', '110.b1'], 'normal_contains': ['13310.a1'], 'normalizer': '1.a1', 'old_label': '1210.a1', 'projective_image': '146410.v', 'quotient_action_image': '110.6', 'quotient_action_kernel': '11.1', 'quotient_action_kernel_order': 11, 'quotient_fusion': None, 'short_label': '1210.a1', 'subgroup_fusion': None, 'weyl_group': '110.6'}
-
id: 62000285
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '1210.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '110.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['110.a1', '242.c1', '605.c1'], 'contains': ['13310.a1', '13310.c1'], 'core': '13310.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [6937, -1, 7029, -1], 'generators': [110, 13310], 'label': '146410.v.1210.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '110.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '1210.b1', 'projective_image': '146410.v', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210.b1', 'subgroup_fusion': None, 'weyl_group': '10.2'}
-
id: 62000286
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '1210.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1210.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['110.b1', '242.a1', '605.a1'], 'contains': ['13310.a1', '13310.d1'], 'core': '13310.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [917, -1, 2546, -1], 'generators': [10, 13310], 'label': '146410.v.1210.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '110.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.b1', 'old_label': '1210.c1', 'projective_image': '146410.v', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210.c1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
-
id: 62000287
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '1210.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1210.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['110.c1'], 'contains': ['13310.a1', '13310.e1'], 'core': '13310.a1', 'coset_action_label': None, 'count': 110, 'diagramx': [271, -1, 3260, -1], 'generators': [120, 13310], 'label': '146410.v.1210.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '110.c1', 'old_label': '1210.d1', 'projective_image': '146410.v', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210.d1', 'subgroup_fusion': None, 'weyl_group': '11.1'}
-
id: 62000288
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '5.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '146410.a1', 'complements': ['29282.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['10.a1', '55.a1', '55.b1'], 'core': '5.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4530, 3163, 4297, 8320], 'generators': [55, 110, 81070, 10, 13310], 'label': '146410.v.5.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '5.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['10.a1', '55.a1'], 'normalizer': '1.a1', 'old_label': '5.a1', 'projective_image': '146410.v', 'quotient_action_image': '5.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '5.a1', 'subgroup_fusion': None, 'weyl_group': '146410.v'}
-
id: 62000289
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '1210.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '110.a1', 'complements': None, 'conjugacy_class_count': 11, 'contained_in': ['110.a1', '242.d1', '605.d1'], 'contains': ['13310.b1', '13310.c1'], 'core': '146410.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [9397, -1, 8681, -1], 'generators': [133210, 81070], 'label': '146410.v.1210.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '110.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '1210.e1', 'projective_image': '146410.v', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210.e1', 'subgroup_fusion': None, 'weyl_group': '10.2'}
-
id: 62000290
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '1331.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1331.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['121.a1'], 'contains': ['2662.a1', '6655.a1', '14641.a1'], 'core': '146410.a1', 'coset_action_label': None, 'count': 1331, 'diagramx': [1786, -1, 206, -1], 'generators': [55, 10, 22], 'label': '146410.v.1331.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1331.a1', 'old_label': '1331.a1', 'projective_image': '146410.v', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1331.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62000291
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '1331.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '13310.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['121.a1', '121.b1', '121.c1'], 'contains': ['2662.b1', '6655.b1', '14641.a1'], 'core': '13310.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [4864, -1, 3860, -1], 'generators': [55, 13310, 22], 'label': '146410.v.1331.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '11.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '1331.b1', 'projective_image': '146410.v', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1331.b1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
-
id: 62000292
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '1331.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '146410.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['121.b1', '121.d1'], 'contains': ['2662.c1', '6655.c1', '14641.a1'], 'core': '146410.a1', 'coset_action_label': None, 'count': 1331, 'diagramx': [6271, -1, 5809, -1], 'generators': [55, 81070, 22], 'label': '146410.v.1331.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '11.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1331.c1', 'old_label': '1331.c1', 'projective_image': '146410.v', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1331.c1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
-
id: 62000293
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '1331.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '146410.a1', 'complements': None, 'conjugacy_class_count': 11, 'contained_in': ['121.c1', '121.d1'], 'contains': ['2662.d1', '6655.d1', '14641.a1'], 'core': '146410.a1', 'coset_action_label': None, 'count': 14641, 'diagramx': [7882, -1, 8327, -1], 'generators': [55, 13420, 22], 'label': '146410.v.1331.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '11.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1331.d1', 'old_label': '1331.d1', 'projective_image': '146410.v', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1331.d1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
-
id: 62000294
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '2662.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1331.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['242.a1', '1331.a1'], 'contains': ['13310.d1', '29282.a1'], 'core': '146410.a1', 'coset_action_label': None, 'count': 1331, 'diagramx': [1547, -1, 2030, -1], 'generators': [22, 10], 'label': '146410.v.2662.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1331.a1', 'old_label': '2662.a1', 'projective_image': '146410.v', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2662.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62000295
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '2662.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '13310.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['242.a1', '242.b1', '242.c1', '1331.b1'], 'contains': ['13310.a1', '29282.a1'], 'core': '13310.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [3823, -1, 4318, -1], 'generators': [22, 13310], 'label': '146410.v.2662.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '22.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '2662.b1', 'projective_image': '146410.v', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2662.b1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
-
id: 62000296
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '2662.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '146410.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['242.b1', '242.d1', '1331.c1'], 'contains': ['13310.b1', '29282.a1'], 'core': '146410.a1', 'coset_action_label': None, 'count': 1331, 'diagramx': [6087, -1, 6435, -1], 'generators': [22, 81070], 'label': '146410.v.2662.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '22.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1331.c1', 'old_label': '2662.c1', 'projective_image': '146410.v', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2662.c1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
-
id: 62000297
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '2662.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '146410.a1', 'complements': None, 'conjugacy_class_count': 11, 'contained_in': ['242.c1', '242.d1', '1331.d1'], 'contains': ['13310.c1', '29282.a1'], 'core': '146410.a1', 'coset_action_label': None, 'count': 14641, 'diagramx': [7703, -1, 8087, -1], 'generators': [22, 133210], 'label': '146410.v.2662.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '22.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1331.d1', 'old_label': '2662.d1', 'projective_image': '146410.v', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2662.d1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
-
id: 62000298
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '6655.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1331.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['605.a1', '1331.a1'], 'contains': ['13310.d1', '73205.a1'], 'core': '146410.a1', 'coset_action_label': None, 'count': 1331, 'diagramx': [2107, -1, 1264, -1], 'generators': [55, 10], 'label': '146410.v.6655.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1331.a1', 'old_label': '6655.a1', 'projective_image': '146410.v', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6655.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62000299
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '10.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '13310.a1', 'complements': ['14641.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '5.a1'], 'contains': ['110.a1', '110.b1', '110.c1'], 'core': '10.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3800, 1701, 4297, 7418], 'generators': [10, 110], 'label': '146410.v.10.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.a1', 'normal_contained_in': ['2.a1', '5.a1'], 'normal_contains': ['110.a1', '110.b1'], 'normalizer': '1.a1', 'old_label': '10.a1', 'projective_image': '146410.v', 'quotient_action_image': '10.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '10.a1', 'subgroup_fusion': None, 'weyl_group': '13310.bf'}
-
id: 62000300
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '6655.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '13310.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['605.a1', '605.b1', '605.c1', '1331.b1'], 'contains': ['13310.a1', '73205.a1'], 'core': '13310.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [4507, -1, 3776, -1], 'generators': [55, 13310], 'label': '146410.v.6655.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '55.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '6655.b1', 'projective_image': '146410.v', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6655.b1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
-
id: 62000301
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '6655.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '146410.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['605.b1', '605.d1', '1331.c1'], 'contains': ['13310.b1', '73205.a1'], 'core': '146410.a1', 'coset_action_label': None, 'count': 1331, 'diagramx': [7389, -1, 5892, -1], 'generators': [55, 81070], 'label': '146410.v.6655.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '55.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1331.c1', 'old_label': '6655.c1', 'projective_image': '146410.v', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6655.c1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
-
id: 62000302
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '6655.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '146410.a1', 'complements': None, 'conjugacy_class_count': 11, 'contained_in': ['605.c1', '605.d1', '1331.d1'], 'contains': ['13310.c1', '73205.a1'], 'core': '146410.a1', 'coset_action_label': None, 'count': 14641, 'diagramx': [8779, -1, 7545, -1], 'generators': [55, 106590], 'label': '146410.v.6655.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '55.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1331.d1', 'old_label': '6655.d1', 'projective_image': '146410.v', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6655.d1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
-
id: 62000303
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '13310.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1210.a1', '1210.b1', '1210.c1', '1210.d1', '2662.b1', '6655.b1'], 'contains': ['146410.a1'], 'core': '13310.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2932, 2888, 4318, 6057], 'generators': [13310], 'label': '146410.v.13310.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '13310.a1', 'normal_contained_in': ['1210.a1'], 'normal_contains': ['146410.a1'], 'normalizer': '1.a1', 'old_label': '13310.a1', 'projective_image': '146410.v', 'quotient_action_image': '10.2', 'quotient_action_kernel': '1331.3', 'quotient_action_kernel_order': 1331, 'quotient_fusion': None, 'short_label': '13310.a1', 'subgroup_fusion': None, 'weyl_group': '10.2'}
-
id: 62000304
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '13310.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '110.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1210.a1', '1210.e1', '2662.c1', '6655.c1'], 'contains': ['146410.a1'], 'core': '146410.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [7026, -1, 5892, -1], 'generators': [81070], 'label': '146410.v.13310.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1210.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '13310.b1', 'projective_image': '146410.v', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310.b1', 'subgroup_fusion': None, 'weyl_group': '10.2'}
-
id: 62000305
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '13310.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '110.a1', 'complements': None, 'conjugacy_class_count': 11, 'contained_in': ['1210.b1', '1210.e1', '2662.d1', '6655.d1'], 'contains': ['146410.a1'], 'core': '146410.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [8779, -1, 7545, -1], 'generators': [133210], 'label': '146410.v.13310.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '110.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '13310.c1', 'projective_image': '146410.v', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310.c1', 'subgroup_fusion': None, 'weyl_group': '10.2'}
-
id: 62000306
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '13310.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '121.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1210.c1', '2662.a1', '6655.a1'], 'contains': ['146410.a1'], 'core': '146410.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [1524, -1, 2291, -1], 'generators': [10], 'label': '146410.v.13310.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '110.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '13310.d1', 'projective_image': '146410.v', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62000307
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '13310.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1210.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1210.d1'], 'contains': ['146410.a1'], 'core': '146410.a1', 'coset_action_label': None, 'count': 1210, 'diagramx': [657, -1, 3563, -1], 'generators': [120], 'label': '146410.v.13310.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1210.d1', 'old_label': '13310.e1', 'projective_image': '146410.v', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62000308
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '14641.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1331.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1331.a1', '1331.b1', '1331.c1', '1331.d1'], 'contains': ['29282.a1', '73205.a1'], 'core': '146410.a1', 'coset_action_label': None, 'count': 1331, 'diagramx': [5166, -1, 5429, -1], 'generators': [55, 22], 'label': '146410.v.14641.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '11.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1331.a1', 'old_label': '14641.a1', 'projective_image': '146410.v', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14641.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62000309
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '29282.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1331.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2662.a1', '2662.b1', '2662.c1', '2662.d1', '14641.a1'], 'contains': ['146410.a1'], 'core': '146410.a1', 'coset_action_label': None, 'count': 1331, 'diagramx': [5166, -1, 5429, -1], 'generators': [22], 'label': '146410.v.29282.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '22.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1331.a1', 'old_label': '29282.a1', 'projective_image': '146410.v', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '29282.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62000310
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '11.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '146410.a1', 'complements': ['13310.d1', '13310.e1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['22.a1', '55.a1', '121.b1', '121.c1', '121.d1'], 'core': '11.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6574, 8299, 6601, 1317], 'generators': [55, 110, 81070, 22, 13310], 'label': '146410.v.11.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '11.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['22.a1', '55.a1'], 'normalizer': '1.a1', 'old_label': '11.a1', 'projective_image': '146410.v', 'quotient_action_image': '11.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '11.a1', 'subgroup_fusion': None, 'weyl_group': '146410.v'}
-
id: 62000311
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '73205.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1331.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6655.a1', '6655.b1', '6655.c1', '6655.d1', '14641.a1'], 'contains': ['146410.a1'], 'core': '146410.a1', 'coset_action_label': None, 'count': 1331, 'diagramx': [5642, -1, 5053, -1], 'generators': [55], 'label': '146410.v.73205.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '55.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1331.a1', 'old_label': '73205.a1', 'projective_image': '146410.v', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '73205.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62000312
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '146410.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['13310.a1', '13310.b1', '13310.c1', '13310.d1', '13310.e1', '29282.a1', '73205.a1'], 'contains': [], 'core': '146410.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5166, 2888, 5053, 6057], 'generators': [], 'label': '146410.v.146410.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '146410.a1', 'normal_contained_in': ['13310.a1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '146410.a1', 'projective_image': '146410.v', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '146410.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 62000313
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '11.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '146410.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['22.b1', '55.b1', '121.a1', '121.b1'], 'core': '110.b1', 'coset_action_label': None, 'count': 11, 'diagramx': [3069, -1, 3349, -1], 'generators': [55, 10, 81070, 22, 13310], 'label': '146410.v.11.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.b1', 'old_label': '11.b1', 'projective_image': '146410.v', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11.b1', 'subgroup_fusion': None, 'weyl_group': '13310.bf'}
-
id: 62000314
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '22.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '146410.a1', 'complements': ['6655.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '11.a1'], 'contains': ['110.a1', '242.b1', '242.c1', '242.d1'], 'core': '22.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6159, 6061, 7571, 2219], 'generators': [22, 81070, 13310, 110], 'label': '146410.v.22.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '22.a1', 'normal_contained_in': ['2.a1', '11.a1'], 'normal_contains': ['110.a1'], 'normalizer': '1.a1', 'old_label': '22.a1', 'projective_image': '146410.v', 'quotient_action_image': '22.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '22.a1', 'subgroup_fusion': None, 'weyl_group': '146410.v'}
-
id: 62000315
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '22.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '146410.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '11.b1'], 'contains': ['110.b1', '242.a1', '242.b1'], 'core': '110.b1', 'coset_action_label': None, 'count': 11, 'diagramx': [3152, -1, 3526, -1], 'generators': [22, 81070, 13310, 10], 'label': '146410.v.22.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.b1', 'old_label': '22.b1', 'projective_image': '146410.v', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.b1', 'subgroup_fusion': None, 'weyl_group': '13310.bf'}
-
id: 62000316
{'ambient': '146410.v', 'aut_centralizer_order': None, 'aut_label': '55.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '146410.a1', 'complements': ['2662.a1'], 'conjugacy_class_count': 1, 'contained_in': ['5.a1', '11.a1'], 'contains': ['110.a1', '605.b1', '605.c1', '605.d1'], 'core': '55.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6325, 6108, 6841, 4695], 'generators': [55, 81070, 13310, 110], 'label': '146410.v.55.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '55.a1', 'normal_contained_in': ['5.a1', '11.a1'], 'normal_contains': ['110.a1'], 'normalizer': '1.a1', 'old_label': '55.a1', 'projective_image': '146410.v', 'quotient_action_image': '55.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '55.a1', 'subgroup_fusion': None, 'weyl_group': '146410.v'}