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gps_groups • Show schema
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{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '8.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 120, 'aut_gen_orders': [10, 24, 20, 20, 10], 'aut_gens': [[1, 2, 10, 200], [187, 44, 552, 200], [83, 166, 298, 400], [165, 44, 510, 400], [63, 124, 416, 600], [141, 8, 494, 800]], 'aut_group': None, 'aut_hash': 4457645683847538779, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 960000, 'aut_permdeg': 60, 'aut_perms': [7459239018985203215341435830508200412550572462921633387201318108987687188910411132, 1423631093714486909583379934461808143930063991946818655864547707546416305184368391, 3362192420429427954907288040144789883216273302614808386748527257972658585947534751, 3998454176408219004169737186657714475827796440975676502306582207570955672239569393, 2750280248791739684569544376515706692617507805423577056995610841013502150350461496], 'aut_phi_ratio': 2400.0, 'aut_solvable': False, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 125, 2, 1], [4, 5, 2, 1], [4, 25, 2, 1], [5, 2, 2, 1], [5, 2, 12, 1], [5, 4, 24, 1], [10, 2, 2, 1], [10, 2, 12, 1], [10, 4, 24, 1], [20, 10, 24, 1], [20, 50, 4, 1]], 'aut_supersolvable': False, 'aut_tex': '(D_5\\times C_5:D_5).C_2^4.S_5', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '4.2', 'autcent_hash': 2, 'autcent_nilpotent': True, 'autcent_order': 4, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 120, 'autcentquo_group': None, 'autcentquo_hash': 1096677362456611443, 'autcentquo_nilpotent': False, 'autcentquo_order': 240000, 'autcentquo_solvable': False, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_5^3.C_4^2.S_5', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 125, 2], [4, 5, 2], [4, 25, 2], [5, 2, 14], [5, 4, 24], [10, 2, 14], [10, 4, 24], [20, 10, 24], [20, 50, 4]], 'center_label': '2.1', 'center_order': 2, 'central_product': True, 'central_quotient': '500.51', 'commutator_count': 1, 'commutator_label': '125.5', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '5.1', '5.1', '5.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 136, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 125, 1, 2], [4, 5, 2, 1], [4, 25, 2, 1], [5, 2, 2, 7], [5, 4, 2, 12], [10, 2, 2, 7], [10, 4, 2, 12], [20, 10, 4, 6], [20, 50, 4, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 504, 'exponent': 20, 'exponents_of_order': [3, 3], 'factors_of_aut_order': [2, 3, 5], 'factors_of_order': [2, 5], 'faithful_reps': [], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '500.51', 'hash': 136, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 10, 'inner_gen_orders': [2, 5, 10, 5], 'inner_gens': [[1, 8, 90, 200], [5, 2, 10, 200], [121, 2, 10, 800], [1, 2, 410, 200]], 'inner_hash': 51, 'inner_nilpotent': False, 'inner_order': 500, 'inner_split': False, 'inner_tex': 'C_5:D_5^2', 'inner_used': [1, 2, 3, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 8], [2, 56], [4, 48]], 'label': '1000.136', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C10.D5^2', '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 13, 'number_characteristic_subgroups': 14, 'number_conjugacy_classes': 112, 'number_divisions': 51, 'number_normal_subgroups': 46, 'number_subgroup_autclasses': 50, 'number_subgroup_classes': 248, 'number_subgroups': 3792, 'old_label': None, 'order': 1000, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 251], [4, 60], [5, 124], [10, 124], [20, 440]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 60, 'outer_gen_orders': [2, 4, 10, 2], 'outer_gen_pows': [0, 0, 0, 50], 'outer_gens': [[101, 166, 174, 800], [101, 120, 12, 600], [101, 86, 156, 200], [1, 48, 10, 600]], 'outer_group': '1920.240589', 'outer_hash': 4048372991184717723, 'outer_nilpotent': False, 'outer_order': 1920, 'outer_permdeg': 15, 'outer_perms': [88176211223, 7185432367, 100631059216, 6266937720], 'outer_solvable': False, 'outer_supersolvable': False, 'outer_tex': 'C_2^4.S_5', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 19, 'pgroup': 0, 'primary_abelian_invariants': [2, 4], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 2], [4, 14], [8, 31]], 'representations': {'PC': {'code': 12949412341024104731161256710927, 'gens': [1, 2, 3, 6], 'pres': [6, -2, -5, -2, -2, -5, -5, 600, 97, 1622, 50, 4323, 69, 4804, 2897]}, 'GLFp': {'d': 4, 'p': 5, 'gens': [122109387504, 61175388599, 44573825876, 54120021252, 3457043888, 90859387996]}, 'Perm': {'d': 19, 'gens': [5170, 356995585094413, 23, 7115056236288000, 7115063424940800, 50520]}}, 'schur_multiplier': [10], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 4], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{10}.D_5^2', 'transitive_degree': 100, 'wreath_data': None, 'wreath_product': False}
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gps_conj_classes • Show schema
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id: 111202975
{'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 136, 'group_order': 1000, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 0, 'size': 1}
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id: 111202999
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 136, 'group_order': 1000, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 100, 'size': 1}
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id: 111203010
{'aut_label': '2B', 'centralizer': '125.a1', 'counter': 3, 'group_counter': 136, 'group_order': 1000, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 677, 'size': 125}
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id: 111203021
{'aut_label': '2B', 'centralizer': '125.a1', 'counter': 4, 'group_counter': 136, 'group_order': 1000, 'label': '2C', 'order': 2, 'powers': [1, 4], 'representative': 91, 'size': 125}
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id: 111203032
{'aut_label': '4A1', 'centralizer': '5.a1', 'counter': 5, 'group_counter': 136, 'group_order': 1000, 'label': '4A1', 'order': 4, 'powers': [2, 5], 'representative': 50, 'size': 5}
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id: 111203043
{'aut_label': '4A1', 'centralizer': '5.a1', 'counter': 6, 'group_counter': 136, 'group_order': 1000, 'label': '4A-1', 'order': 4, 'powers': [2, 6], 'representative': 150, 'size': 5}
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id: 111203054
{'aut_label': '4B1', 'centralizer': '25.b1', 'counter': 7, 'group_counter': 136, 'group_order': 1000, 'label': '4B1', 'order': 4, 'powers': [2, 7], 'representative': 83, 'size': 25}
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id: 111203065
{'aut_label': '4B1', 'centralizer': '25.b1', 'counter': 8, 'group_counter': 136, 'group_order': 1000, 'label': '4B-1', 'order': 4, 'powers': [2, 8], 'representative': 183, 'size': 25}
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id: 111203076
{'aut_label': '5A1', 'centralizer': '2.b1', 'counter': 9, 'group_counter': 136, 'group_order': 1000, 'label': '5A1', 'order': 5, 'powers': [10, 1], 'representative': 40, 'size': 2}
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id: 111202976
{'aut_label': '5A1', 'centralizer': '2.b1', 'counter': 10, 'group_counter': 136, 'group_order': 1000, 'label': '5A2', 'order': 5, 'powers': [9, 1], 'representative': 80, 'size': 2}
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id: 111202987
{'aut_label': '5A1', 'centralizer': '2.b1', 'counter': 11, 'group_counter': 136, 'group_order': 1000, 'label': '5B1', 'order': 5, 'powers': [12, 1], 'representative': 48, 'size': 2}
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id: 111202991
{'aut_label': '5A1', 'centralizer': '2.b1', 'counter': 12, 'group_counter': 136, 'group_order': 1000, 'label': '5B2', 'order': 5, 'powers': [11, 1], 'representative': 86, 'size': 2}
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id: 111202992
{'aut_label': '5A1', 'centralizer': '2.b1', 'counter': 13, 'group_counter': 136, 'group_order': 1000, 'label': '5C1', 'order': 5, 'powers': [14, 1], 'representative': 46, 'size': 2}
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id: 111202993
{'aut_label': '5A1', 'centralizer': '2.b1', 'counter': 14, 'group_counter': 136, 'group_order': 1000, 'label': '5C2', 'order': 5, 'powers': [13, 1], 'representative': 82, 'size': 2}
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id: 111202994
{'aut_label': '5A1', 'centralizer': '2.b1', 'counter': 15, 'group_counter': 136, 'group_order': 1000, 'label': '5D1', 'order': 5, 'powers': [16, 1], 'representative': 44, 'size': 2}
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id: 111202995
{'aut_label': '5A1', 'centralizer': '2.b1', 'counter': 16, 'group_counter': 136, 'group_order': 1000, 'label': '5D2', 'order': 5, 'powers': [15, 1], 'representative': 88, 'size': 2}
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id: 111202996
{'aut_label': '5A1', 'centralizer': '2.b1', 'counter': 17, 'group_counter': 136, 'group_order': 1000, 'label': '5E1', 'order': 5, 'powers': [18, 1], 'representative': 42, 'size': 2}
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id: 111202997
{'aut_label': '5A1', 'centralizer': '2.b1', 'counter': 18, 'group_counter': 136, 'group_order': 1000, 'label': '5E2', 'order': 5, 'powers': [17, 1], 'representative': 84, 'size': 2}
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id: 111202998
{'aut_label': '5A1', 'centralizer': '2.b1', 'counter': 19, 'group_counter': 136, 'group_order': 1000, 'label': '5F1', 'order': 5, 'powers': [20, 1], 'representative': 8, 'size': 2}
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id: 111203000
{'aut_label': '5A1', 'centralizer': '2.b1', 'counter': 20, 'group_counter': 136, 'group_order': 1000, 'label': '5F2', 'order': 5, 'powers': [19, 1], 'representative': 6, 'size': 2}
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id: 111203001
{'aut_label': '5G1', 'centralizer': '2.c1', 'counter': 21, 'group_counter': 136, 'group_order': 1000, 'label': '5G1', 'order': 5, 'powers': [22, 1], 'representative': 800, 'size': 2}
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id: 111203002
{'aut_label': '5G1', 'centralizer': '2.c1', 'counter': 22, 'group_counter': 136, 'group_order': 1000, 'label': '5G2', 'order': 5, 'powers': [21, 1], 'representative': 600, 'size': 2}
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id: 111203003
{'aut_label': '5H1', 'centralizer': '4.a1', 'counter': 23, 'group_counter': 136, 'group_order': 1000, 'label': '5H1', 'order': 5, 'powers': [24, 1], 'representative': 440, 'size': 4}
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id: 111203004
{'aut_label': '5H1', 'centralizer': '4.a1', 'counter': 24, 'group_counter': 136, 'group_order': 1000, 'label': '5H2', 'order': 5, 'powers': [23, 1], 'representative': 880, 'size': 4}
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id: 111203005
{'aut_label': '5H1', 'centralizer': '4.a1', 'counter': 25, 'group_counter': 136, 'group_order': 1000, 'label': '5I1', 'order': 5, 'powers': [26, 1], 'representative': 840, 'size': 4}
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id: 111203006
{'aut_label': '5H1', 'centralizer': '4.a1', 'counter': 26, 'group_counter': 136, 'group_order': 1000, 'label': '5I2', 'order': 5, 'powers': [25, 1], 'representative': 680, 'size': 4}
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id: 111203007
{'aut_label': '5H1', 'centralizer': '4.a1', 'counter': 27, 'group_counter': 136, 'group_order': 1000, 'label': '5J1', 'order': 5, 'powers': [28, 1], 'representative': 444, 'size': 4}
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id: 111203008
{'aut_label': '5H1', 'centralizer': '4.a1', 'counter': 28, 'group_counter': 136, 'group_order': 1000, 'label': '5J2', 'order': 5, 'powers': [27, 1], 'representative': 888, 'size': 4}
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id: 111203009
{'aut_label': '5H1', 'centralizer': '4.a1', 'counter': 29, 'group_counter': 136, 'group_order': 1000, 'label': '5K1', 'order': 5, 'powers': [30, 1], 'representative': 844, 'size': 4}
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id: 111203011
{'aut_label': '5H1', 'centralizer': '4.a1', 'counter': 30, 'group_counter': 136, 'group_order': 1000, 'label': '5K2', 'order': 5, 'powers': [29, 1], 'representative': 688, 'size': 4}
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id: 111203012
{'aut_label': '5H1', 'centralizer': '4.a1', 'counter': 31, 'group_counter': 136, 'group_order': 1000, 'label': '5L1', 'order': 5, 'powers': [32, 1], 'representative': 448, 'size': 4}
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id: 111203013
{'aut_label': '5H1', 'centralizer': '4.a1', 'counter': 32, 'group_counter': 136, 'group_order': 1000, 'label': '5L2', 'order': 5, 'powers': [31, 1], 'representative': 886, 'size': 4}
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id: 111203014
{'aut_label': '5H1', 'centralizer': '4.a1', 'counter': 33, 'group_counter': 136, 'group_order': 1000, 'label': '5M1', 'order': 5, 'powers': [34, 1], 'representative': 848, 'size': 4}
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id: 111203015
{'aut_label': '5H1', 'centralizer': '4.a1', 'counter': 34, 'group_counter': 136, 'group_order': 1000, 'label': '5M2', 'order': 5, 'powers': [33, 1], 'representative': 686, 'size': 4}
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id: 111203016
{'aut_label': '5H1', 'centralizer': '4.a1', 'counter': 35, 'group_counter': 136, 'group_order': 1000, 'label': '5N1', 'order': 5, 'powers': [36, 1], 'representative': 442, 'size': 4}
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id: 111203017
{'aut_label': '5H1', 'centralizer': '4.a1', 'counter': 36, 'group_counter': 136, 'group_order': 1000, 'label': '5N2', 'order': 5, 'powers': [35, 1], 'representative': 884, 'size': 4}
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id: 111203018
{'aut_label': '5H1', 'centralizer': '4.a1', 'counter': 37, 'group_counter': 136, 'group_order': 1000, 'label': '5O1', 'order': 5, 'powers': [38, 1], 'representative': 842, 'size': 4}
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id: 111203019
{'aut_label': '5H1', 'centralizer': '4.a1', 'counter': 38, 'group_counter': 136, 'group_order': 1000, 'label': '5O2', 'order': 5, 'powers': [37, 1], 'representative': 684, 'size': 4}
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id: 111203020
{'aut_label': '5H1', 'centralizer': '4.a1', 'counter': 39, 'group_counter': 136, 'group_order': 1000, 'label': '5P1', 'order': 5, 'powers': [40, 1], 'representative': 446, 'size': 4}
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id: 111203022
{'aut_label': '5H1', 'centralizer': '4.a1', 'counter': 40, 'group_counter': 136, 'group_order': 1000, 'label': '5P2', 'order': 5, 'powers': [39, 1], 'representative': 882, 'size': 4}
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id: 111203023
{'aut_label': '5H1', 'centralizer': '4.a1', 'counter': 41, 'group_counter': 136, 'group_order': 1000, 'label': '5Q1', 'order': 5, 'powers': [42, 1], 'representative': 846, 'size': 4}
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id: 111203024
{'aut_label': '5H1', 'centralizer': '4.a1', 'counter': 42, 'group_counter': 136, 'group_order': 1000, 'label': '5Q2', 'order': 5, 'powers': [41, 1], 'representative': 682, 'size': 4}
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id: 111203025
{'aut_label': '5H1', 'centralizer': '4.a1', 'counter': 43, 'group_counter': 136, 'group_order': 1000, 'label': '5R1', 'order': 5, 'powers': [44, 1], 'representative': 404, 'size': 4}
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id: 111203026
{'aut_label': '5H1', 'centralizer': '4.a1', 'counter': 44, 'group_counter': 136, 'group_order': 1000, 'label': '5R2', 'order': 5, 'powers': [43, 1], 'representative': 808, 'size': 4}
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id: 111203027
{'aut_label': '5H1', 'centralizer': '4.a1', 'counter': 45, 'group_counter': 136, 'group_order': 1000, 'label': '5S1', 'order': 5, 'powers': [46, 1], 'representative': 804, 'size': 4}
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id: 111203028
{'aut_label': '5H1', 'centralizer': '4.a1', 'counter': 46, 'group_counter': 136, 'group_order': 1000, 'label': '5S2', 'order': 5, 'powers': [45, 1], 'representative': 608, 'size': 4}
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id: 111203029
{'aut_label': '10A1', 'centralizer': '2.b1', 'counter': 47, 'group_counter': 136, 'group_order': 1000, 'label': '10A1', 'order': 10, 'powers': [9, 2], 'representative': 20, 'size': 2}
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id: 111203030
{'aut_label': '10A1', 'centralizer': '2.b1', 'counter': 48, 'group_counter': 136, 'group_order': 1000, 'label': '10A3', 'order': 10, 'powers': [10, 2], 'representative': 60, 'size': 2}
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id: 111203031
{'aut_label': '10A1', 'centralizer': '2.b1', 'counter': 49, 'group_counter': 136, 'group_order': 1000, 'label': '10B1', 'order': 10, 'powers': [11, 2], 'representative': 24, 'size': 2}
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id: 111203033
{'aut_label': '10A1', 'centralizer': '2.b1', 'counter': 50, 'group_counter': 136, 'group_order': 1000, 'label': '10B3', 'order': 10, 'powers': [12, 2], 'representative': 62, 'size': 2}
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id: 111203034
{'aut_label': '10A1', 'centralizer': '2.b1', 'counter': 51, 'group_counter': 136, 'group_order': 1000, 'label': '10C1', 'order': 10, 'powers': [13, 2], 'representative': 28, 'size': 2}
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id: 111203035
{'aut_label': '10A1', 'centralizer': '2.b1', 'counter': 52, 'group_counter': 136, 'group_order': 1000, 'label': '10C3', 'order': 10, 'powers': [14, 2], 'representative': 64, 'size': 2}
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id: 111203036
{'aut_label': '10A1', 'centralizer': '2.b1', 'counter': 53, 'group_counter': 136, 'group_order': 1000, 'label': '10D1', 'order': 10, 'powers': [15, 2], 'representative': 22, 'size': 2}
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id: 111203037
{'aut_label': '10A1', 'centralizer': '2.b1', 'counter': 54, 'group_counter': 136, 'group_order': 1000, 'label': '10D3', 'order': 10, 'powers': [16, 2], 'representative': 66, 'size': 2}
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id: 111203038
{'aut_label': '10A1', 'centralizer': '2.b1', 'counter': 55, 'group_counter': 136, 'group_order': 1000, 'label': '10E1', 'order': 10, 'powers': [17, 2], 'representative': 26, 'size': 2}
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id: 111203039
{'aut_label': '10A1', 'centralizer': '2.b1', 'counter': 56, 'group_counter': 136, 'group_order': 1000, 'label': '10E3', 'order': 10, 'powers': [18, 2], 'representative': 68, 'size': 2}
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id: 111203040
{'aut_label': '10A1', 'centralizer': '2.b1', 'counter': 57, 'group_counter': 136, 'group_order': 1000, 'label': '10F1', 'order': 10, 'powers': [19, 2], 'representative': 104, 'size': 2}
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id: 111203041
{'aut_label': '10A1', 'centralizer': '2.b1', 'counter': 58, 'group_counter': 136, 'group_order': 1000, 'label': '10F3', 'order': 10, 'powers': [20, 2], 'representative': 102, 'size': 2}
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id: 111203042
{'aut_label': '10G1', 'centralizer': '2.c1', 'counter': 59, 'group_counter': 136, 'group_order': 1000, 'label': '10G1', 'order': 10, 'powers': [21, 2], 'representative': 500, 'size': 2}
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id: 111203044
{'aut_label': '10G1', 'centralizer': '2.c1', 'counter': 60, 'group_counter': 136, 'group_order': 1000, 'label': '10G3', 'order': 10, 'powers': [22, 2], 'representative': 300, 'size': 2}
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id: 111203045
{'aut_label': '10H1', 'centralizer': '4.a1', 'counter': 61, 'group_counter': 136, 'group_order': 1000, 'label': '10H1', 'order': 10, 'powers': [23, 2], 'representative': 220, 'size': 4}
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id: 111203046
{'aut_label': '10H1', 'centralizer': '4.a1', 'counter': 62, 'group_counter': 136, 'group_order': 1000, 'label': '10H3', 'order': 10, 'powers': [24, 2], 'representative': 460, 'size': 4}
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id: 111203047
{'aut_label': '10H1', 'centralizer': '4.a1', 'counter': 63, 'group_counter': 136, 'group_order': 1000, 'label': '10I1', 'order': 10, 'powers': [25, 2], 'representative': 420, 'size': 4}
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id: 111203048
{'aut_label': '10H1', 'centralizer': '4.a1', 'counter': 64, 'group_counter': 136, 'group_order': 1000, 'label': '10I3', 'order': 10, 'powers': [26, 2], 'representative': 260, 'size': 4}
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id: 111203049
{'aut_label': '10H1', 'centralizer': '4.a1', 'counter': 65, 'group_counter': 136, 'group_order': 1000, 'label': '10J1', 'order': 10, 'powers': [27, 2], 'representative': 222, 'size': 4}
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id: 111203050
{'aut_label': '10H1', 'centralizer': '4.a1', 'counter': 66, 'group_counter': 136, 'group_order': 1000, 'label': '10J3', 'order': 10, 'powers': [28, 2], 'representative': 466, 'size': 4}
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id: 111203051
{'aut_label': '10H1', 'centralizer': '4.a1', 'counter': 67, 'group_counter': 136, 'group_order': 1000, 'label': '10K1', 'order': 10, 'powers': [29, 2], 'representative': 422, 'size': 4}
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id: 111203052
{'aut_label': '10H1', 'centralizer': '4.a1', 'counter': 68, 'group_counter': 136, 'group_order': 1000, 'label': '10K3', 'order': 10, 'powers': [30, 2], 'representative': 266, 'size': 4}
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id: 111203053
{'aut_label': '10H1', 'centralizer': '4.a1', 'counter': 69, 'group_counter': 136, 'group_order': 1000, 'label': '10L1', 'order': 10, 'powers': [31, 2], 'representative': 224, 'size': 4}
-
id: 111203055
{'aut_label': '10H1', 'centralizer': '4.a1', 'counter': 70, 'group_counter': 136, 'group_order': 1000, 'label': '10L3', 'order': 10, 'powers': [32, 2], 'representative': 462, 'size': 4}
-
id: 111203056
{'aut_label': '10H1', 'centralizer': '4.a1', 'counter': 71, 'group_counter': 136, 'group_order': 1000, 'label': '10M1', 'order': 10, 'powers': [33, 2], 'representative': 424, 'size': 4}
-
id: 111203057
{'aut_label': '10H1', 'centralizer': '4.a1', 'counter': 72, 'group_counter': 136, 'group_order': 1000, 'label': '10M3', 'order': 10, 'powers': [34, 2], 'representative': 262, 'size': 4}
-
id: 111203058
{'aut_label': '10H1', 'centralizer': '4.a1', 'counter': 73, 'group_counter': 136, 'group_order': 1000, 'label': '10N1', 'order': 10, 'powers': [35, 2], 'representative': 226, 'size': 4}
-
id: 111203059
{'aut_label': '10H1', 'centralizer': '4.a1', 'counter': 74, 'group_counter': 136, 'group_order': 1000, 'label': '10N3', 'order': 10, 'powers': [36, 2], 'representative': 542, 'size': 4}
-
id: 111203060
{'aut_label': '10H1', 'centralizer': '4.a1', 'counter': 75, 'group_counter': 136, 'group_order': 1000, 'label': '10O1', 'order': 10, 'powers': [37, 2], 'representative': 426, 'size': 4}
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id: 111203061
{'aut_label': '10H1', 'centralizer': '4.a1', 'counter': 76, 'group_counter': 136, 'group_order': 1000, 'label': '10O3', 'order': 10, 'powers': [38, 2], 'representative': 342, 'size': 4}
-
id: 111203062
{'aut_label': '10H1', 'centralizer': '4.a1', 'counter': 77, 'group_counter': 136, 'group_order': 1000, 'label': '10P1', 'order': 10, 'powers': [39, 2], 'representative': 228, 'size': 4}
-
id: 111203063
{'aut_label': '10H1', 'centralizer': '4.a1', 'counter': 78, 'group_counter': 136, 'group_order': 1000, 'label': '10P3', 'order': 10, 'powers': [40, 2], 'representative': 464, 'size': 4}
-
id: 111203064
{'aut_label': '10H1', 'centralizer': '4.a1', 'counter': 79, 'group_counter': 136, 'group_order': 1000, 'label': '10Q1', 'order': 10, 'powers': [41, 2], 'representative': 428, 'size': 4}
-
id: 111203066
{'aut_label': '10H1', 'centralizer': '4.a1', 'counter': 80, 'group_counter': 136, 'group_order': 1000, 'label': '10Q3', 'order': 10, 'powers': [42, 2], 'representative': 264, 'size': 4}
-
id: 111203067
{'aut_label': '10H1', 'centralizer': '4.a1', 'counter': 81, 'group_counter': 136, 'group_order': 1000, 'label': '10R1', 'order': 10, 'powers': [43, 2], 'representative': 302, 'size': 4}
-
id: 111203068
{'aut_label': '10H1', 'centralizer': '4.a1', 'counter': 82, 'group_counter': 136, 'group_order': 1000, 'label': '10R3', 'order': 10, 'powers': [44, 2], 'representative': 504, 'size': 4}
-
id: 111203069
{'aut_label': '10H1', 'centralizer': '4.a1', 'counter': 83, 'group_counter': 136, 'group_order': 1000, 'label': '10S1', 'order': 10, 'powers': [45, 2], 'representative': 502, 'size': 4}
-
id: 111203070
{'aut_label': '10H1', 'centralizer': '4.a1', 'counter': 84, 'group_counter': 136, 'group_order': 1000, 'label': '10S3', 'order': 10, 'powers': [46, 2], 'representative': 304, 'size': 4}
-
id: 111203071
{'aut_label': '20A1', 'centralizer': '10.f1', 'counter': 85, 'group_counter': 136, 'group_order': 1000, 'label': '20A1', 'order': 20, 'powers': [47, 5], 'representative': 10, 'size': 10}
-
id: 111203072
{'aut_label': '20A1', 'centralizer': '10.f1', 'counter': 86, 'group_counter': 136, 'group_order': 1000, 'label': '20A-1', 'order': 20, 'powers': [47, 6], 'representative': 110, 'size': 10}
-
id: 111203073
{'aut_label': '20A1', 'centralizer': '10.f1', 'counter': 87, 'group_counter': 136, 'group_order': 1000, 'label': '20A3', 'order': 20, 'powers': [48, 6], 'representative': 30, 'size': 10}
-
id: 111203074
{'aut_label': '20A1', 'centralizer': '10.f1', 'counter': 88, 'group_counter': 136, 'group_order': 1000, 'label': '20A-3', 'order': 20, 'powers': [48, 5], 'representative': 130, 'size': 10}
-
id: 111203075
{'aut_label': '20A1', 'centralizer': '10.f1', 'counter': 89, 'group_counter': 136, 'group_order': 1000, 'label': '20B1', 'order': 20, 'powers': [49, 5], 'representative': 12, 'size': 10}
-
id: 111203077
{'aut_label': '20A1', 'centralizer': '10.f1', 'counter': 90, 'group_counter': 136, 'group_order': 1000, 'label': '20B-1', 'order': 20, 'powers': [49, 6], 'representative': 112, 'size': 10}
-
id: 111203078
{'aut_label': '20A1', 'centralizer': '10.f1', 'counter': 91, 'group_counter': 136, 'group_order': 1000, 'label': '20B3', 'order': 20, 'powers': [50, 6], 'representative': 36, 'size': 10}
-
id: 111203079
{'aut_label': '20A1', 'centralizer': '10.f1', 'counter': 92, 'group_counter': 136, 'group_order': 1000, 'label': '20B-3', 'order': 20, 'powers': [50, 5], 'representative': 174, 'size': 10}
-
id: 111203080
{'aut_label': '20A1', 'centralizer': '10.f1', 'counter': 93, 'group_counter': 136, 'group_order': 1000, 'label': '20C1', 'order': 20, 'powers': [51, 5], 'representative': 14, 'size': 10}
-
id: 111203081
{'aut_label': '20A1', 'centralizer': '10.f1', 'counter': 94, 'group_counter': 136, 'group_order': 1000, 'label': '20C-1', 'order': 20, 'powers': [51, 6], 'representative': 114, 'size': 10}
-
id: 111203082
{'aut_label': '20A1', 'centralizer': '10.f1', 'counter': 95, 'group_counter': 136, 'group_order': 1000, 'label': '20C3', 'order': 20, 'powers': [52, 6], 'representative': 32, 'size': 10}
-
id: 111203083
{'aut_label': '20A1', 'centralizer': '10.f1', 'counter': 96, 'group_counter': 136, 'group_order': 1000, 'label': '20C-3', 'order': 20, 'powers': [52, 5], 'representative': 132, 'size': 10}
-
id: 111203084
{'aut_label': '20A1', 'centralizer': '10.f1', 'counter': 97, 'group_counter': 136, 'group_order': 1000, 'label': '20D1', 'order': 20, 'powers': [53, 5], 'representative': 16, 'size': 10}
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id: 111203085
{'aut_label': '20A1', 'centralizer': '10.f1', 'counter': 98, 'group_counter': 136, 'group_order': 1000, 'label': '20D-1', 'order': 20, 'powers': [53, 6], 'representative': 116, 'size': 10}
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id: 111203086
{'aut_label': '20A1', 'centralizer': '10.f1', 'counter': 99, 'group_counter': 136, 'group_order': 1000, 'label': '20D3', 'order': 20, 'powers': [54, 6], 'representative': 38, 'size': 10}
-
id: 111202977
{'aut_label': '20A1', 'centralizer': '10.f1', 'counter': 100, 'group_counter': 136, 'group_order': 1000, 'label': '20D-3', 'order': 20, 'powers': [54, 5], 'representative': 172, 'size': 10}
-
id: 111202978
{'aut_label': '20A1', 'centralizer': '10.f1', 'counter': 101, 'group_counter': 136, 'group_order': 1000, 'label': '20E1', 'order': 20, 'powers': [55, 5], 'representative': 18, 'size': 10}
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id: 111202979
{'aut_label': '20A1', 'centralizer': '10.f1', 'counter': 102, 'group_counter': 136, 'group_order': 1000, 'label': '20E-1', 'order': 20, 'powers': [55, 6], 'representative': 192, 'size': 10}
-
id: 111202980
{'aut_label': '20A1', 'centralizer': '10.f1', 'counter': 103, 'group_counter': 136, 'group_order': 1000, 'label': '20E3', 'order': 20, 'powers': [56, 6], 'representative': 34, 'size': 10}
-
id: 111202981
{'aut_label': '20A1', 'centralizer': '10.f1', 'counter': 104, 'group_counter': 136, 'group_order': 1000, 'label': '20E-3', 'order': 20, 'powers': [56, 5], 'representative': 134, 'size': 10}
-
id: 111202982
{'aut_label': '20A1', 'centralizer': '10.f1', 'counter': 105, 'group_counter': 136, 'group_order': 1000, 'label': '20F1', 'order': 20, 'powers': [57, 5], 'representative': 52, 'size': 10}
-
id: 111202983
{'aut_label': '20A1', 'centralizer': '10.f1', 'counter': 106, 'group_counter': 136, 'group_order': 1000, 'label': '20F-1', 'order': 20, 'powers': [57, 6], 'representative': 152, 'size': 10}
-
id: 111202984
{'aut_label': '20A1', 'centralizer': '10.f1', 'counter': 107, 'group_counter': 136, 'group_order': 1000, 'label': '20F3', 'order': 20, 'powers': [58, 6], 'representative': 154, 'size': 10}
-
id: 111202985
{'aut_label': '20A1', 'centralizer': '10.f1', 'counter': 108, 'group_counter': 136, 'group_order': 1000, 'label': '20F-3', 'order': 20, 'powers': [58, 5], 'representative': 54, 'size': 10}
-
id: 111202986
{'aut_label': '20G1', 'centralizer': '50.f1', 'counter': 109, 'group_counter': 136, 'group_order': 1000, 'label': '20G1', 'order': 20, 'powers': [59, 7], 'representative': 283, 'size': 50}
-
id: 111202988
{'aut_label': '20G1', 'centralizer': '50.f1', 'counter': 110, 'group_counter': 136, 'group_order': 1000, 'label': '20G-1', 'order': 20, 'powers': [59, 8], 'representative': 983, 'size': 50}
-
id: 111202989
{'aut_label': '20G1', 'centralizer': '50.f1', 'counter': 111, 'group_counter': 136, 'group_order': 1000, 'label': '20G3', 'order': 20, 'powers': [60, 8], 'representative': 783, 'size': 50}
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id: 111202990
{'aut_label': '20G1', 'centralizer': '50.f1', 'counter': 112, 'group_counter': 136, 'group_order': 1000, 'label': '20G-3', 'order': 20, 'powers': [60, 7], 'representative': 483, 'size': 50}
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gps_qchar • Show schema
Hide schema
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id: 4895288
{'cdim': 1, 'counter': 1, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.1a', '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], 'schur_index': 1}
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id: 4895299
{'cdim': 1, 'counter': 2, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.1b', '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], 'schur_index': 1}
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id: 4895310
{'cdim': 1, 'counter': 3, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1], 'schur_index': 1}
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id: 4895321
{'cdim': 1, 'counter': 4, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
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id: 4895332
{'cdim': 1, 'counter': 5, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.1e', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 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: 4895335
{'cdim': 1, 'counter': 6, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.1f', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, 2, -2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 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: 4895336
{'cdim': 2, 'counter': 7, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.2a', 'multiplicity': 2, 'nt': [5, 2], 'qdim': 4, 'qvalues': [4, 4, 0, 0, 0, 0, 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, 4, 4, -1, 4, 4, 4, 4, 4, 4, -1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1], 'schur_index': 1}
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id: 4895337
{'cdim': 2, 'counter': 8, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.2b', 'multiplicity': 2, 'nt': [5, 2], 'qdim': 4, 'qvalues': [4, 4, 0, 0, 4, 4, 0, 0, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, 4, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, 4, 4, -1, -1, -1, -1, -1, 4, 4, -1, -1, -1, -1, -1, -1, -1, 4, -1, 4, 4, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, 4, -1, 4, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0], 'schur_index': 1}
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id: 4895338
{'cdim': 2, 'counter': 9, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.2c', 'multiplicity': 2, 'nt': [5, 2], 'qdim': 4, 'qvalues': [4, 4, 0, 0, 4, 4, 0, 0, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, 4, -1, 4, 4, -1, -1, -1, 4, -1, 4, -1, -1, 4, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, 4, -1, -1, -1, -1, -1, -1, 4, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, 4, 4, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0], 'schur_index': 1}
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id: 4895289
{'cdim': 2, 'counter': 10, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.2d', 'multiplicity': 2, 'nt': [5, 2], 'qdim': 4, 'qvalues': [4, 4, 0, 0, 4, 4, 0, 0, -1, -1, -1, 4, -1, -1, -1, -1, 4, -1, -1, -1, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, 4, -1, -1, -1, 4, -1, 4, -1, -1, -1, -1, -1, -1, 4, -1, 4, -1, -1, -1, -1, 4, -1, -1, 4, -1, -1, -1, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, 4, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, 4, 4, 0, 0, 0, 0], 'schur_index': 1}
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id: 4895290
{'cdim': 2, 'counter': 11, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.2e', 'multiplicity': 2, 'nt': [5, 2], 'qdim': 4, 'qvalues': [4, 4, 0, 0, 4, 4, 0, 0, -1, -1, 4, -1, -1, 4, -1, -1, -1, -1, -1, -1, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, -1, 4, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, 4, 4, -1, -1, 4, -1, -1, -1, -1, 4, -1, -1, -1, -1, 4, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, 4, -1, -1, -1, -1, 0, 0, 0, 0], 'schur_index': 1}
-
id: 4895291
{'cdim': 2, 'counter': 12, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.2f', 'multiplicity': 2, 'nt': [5, 2], 'qdim': 4, 'qvalues': [4, 4, 0, 0, 4, 4, 0, 0, -1, 4, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, 4, 4, -1, -1, 4, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, 4, -1, -1, -1, 4, 4, -1, -1, -1, -1, -1, 4, 4, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, 4, -1, -1, -1, -1, -1, -1, 4, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, -1, -1, 0, 0, 0, 0], 'schur_index': 1}
-
id: 4895292
{'cdim': 2, 'counter': 13, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.2g', 'multiplicity': 2, 'nt': [5, 2], 'qdim': 4, 'qvalues': [4, 4, 0, 0, 4, 4, 0, 0, 4, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, 4, 4, -1, -1, -1, -1, 4, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, 4, -1, -1, -1, 4, -1, -1, -1, -1, 4, -1, 4, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, 4, -1, -1, -1, -1, -1, 4, 4, -1, -1, -1, -1, 4, -1, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, 0, 0, 0, 0], 'schur_index': 1}
-
id: 4895293
{'cdim': 2, 'counter': 14, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.2h', 'multiplicity': 2, 'nt': [10, 3], 'qdim': 4, 'qvalues': [4, 4, 0, 0, -4, -4, 0, 0, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, 4, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, 4, 4, -1, -1, -1, -1, -1, 4, 4, -1, -1, -1, -1, -1, -1, -1, 4, -1, 4, 4, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -4, 1, 1, 1, -4, 1, -4, 1, 1, 1, 1, -4, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0], 'schur_index': 1}
-
id: 4895294
{'cdim': 2, 'counter': 15, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.2i', 'multiplicity': 2, 'nt': [10, 3], 'qdim': 4, 'qvalues': [4, 4, 0, 0, -4, -4, 0, 0, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, 4, -1, 4, 4, -1, -1, -1, 4, -1, 4, -1, -1, 4, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, 4, -1, -1, -1, -1, -1, -1, 4, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, 4, 4, -1, -1, -1, -1, -1, -1, -1, 4, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -4, -4, -4, -4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0], 'schur_index': 1}
-
id: 4895295
{'cdim': 2, 'counter': 16, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.2j', 'multiplicity': 2, 'nt': [10, 3], 'qdim': 4, 'qvalues': [4, 4, 0, 0, -4, -4, 0, 0, -1, -1, -1, 4, -1, -1, -1, -1, 4, -1, -1, -1, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, 4, -1, -1, -1, 4, -1, 4, -1, -1, -1, -1, -1, -1, 4, -1, 4, -1, -1, -1, -1, 4, -1, -1, 4, -1, -1, -1, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, 4, -1, -1, -1, 1, -4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -4, 1, 1, 1, 1, 1, -4, -4, 0, 0, 0, 0], 'schur_index': 1}
-
id: 4895296
{'cdim': 2, 'counter': 17, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.2k', 'multiplicity': 2, 'nt': [10, 3], 'qdim': 4, 'qvalues': [4, 4, 0, 0, -4, -4, 0, 0, -1, -1, 4, -1, -1, 4, -1, -1, -1, -1, -1, -1, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, -1, 4, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, 4, 4, -1, -1, 4, -1, -1, -1, -1, 4, -1, -1, -1, -1, 4, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -4, 1, -4, 1, 1, 1, 1, 1, 1, 1, 1, 1, -4, 1, -4, 1, 1, 1, 1, 0, 0, 0, 0], 'schur_index': 1}
-
id: 4895297
{'cdim': 2, 'counter': 18, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.2l', 'multiplicity': 2, 'nt': [10, 3], 'qdim': 4, 'qvalues': [4, 4, 0, 0, -4, -4, 0, 0, -1, 4, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, 4, 4, -1, -1, 4, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, 4, -1, -1, -1, 4, 4, -1, -1, -1, -1, -1, 4, 4, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, 4, 1, 1, 1, 1, 1, 1, -4, 1, 1, -4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -4, -4, 1, 1, 0, 0, 0, 0], 'schur_index': 1}
-
id: 4895298
{'cdim': 2, 'counter': 19, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.2m', 'multiplicity': 2, 'nt': [10, 3], 'qdim': 4, 'qvalues': [4, 4, 0, 0, -4, -4, 0, 0, 4, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, 4, 4, -1, -1, -1, -1, 4, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, 4, -1, -1, -1, 4, -1, -1, -1, -1, 4, -1, 4, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, 4, -1, -1, -1, -1, -1, 4, 4, -1, -1, -1, -1, -4, 1, -4, -4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -4, 1, 1, 1, 1, 1, 0, 0, 0, 0], 'schur_index': 1}
-
id: 4895300
{'cdim': 2, 'counter': 20, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.2n', 'multiplicity': 2, 'nt': [10, 3], 'qdim': 4, 'qvalues': [4, 4, 0, 0, 0, 0, -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, 4, 4, -1, 4, 4, 4, 4, 4, 4, -1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1], 'schur_index': 1}
-
id: 4895301
{'cdim': 2, 'counter': 21, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.2o', 'multiplicity': 4, 'nt': [20, 6], 'qdim': 8, 'qvalues': [8, -8, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, 8, -2, -2, -2, 8, 8, 8, 8, 8, -2, -2, -2, -2, -2, -2, -2, 8, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 8, 2, 2, -8, -8, 2, 2, 2, 2, 2, -8, -8, 2, 2, 2, 2, 2, 2, 2, -8, 2, -8, -8, 2, 2, 2, 2, 2, 2, 2, -8, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
-
id: 4895302
{'cdim': 2, 'counter': 22, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.2p', 'multiplicity': 4, 'nt': [20, 6], 'qdim': 8, 'qvalues': [8, -8, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 8, -2, -2, -2, -2, -2, 8, -2, 8, 8, -2, -2, -2, 8, -2, 8, -2, -2, 8, -2, -2, -2, -2, -2, -2, 8, -2, -2, -2, -2, -2, -2, -2, -2, -8, 2, -8, 2, 2, 2, 2, 2, 2, -8, 2, -8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -8, 2, 2, 2, -8, -8, 2, 2, 2, 2, 2, 2, 2, -8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
-
id: 4895303
{'cdim': 2, 'counter': 23, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.2q', 'multiplicity': 4, 'nt': [20, 6], 'qdim': 8, 'qvalues': [8, -8, 0, 0, 0, 0, 0, 0, -2, -2, -2, 8, -2, -2, -2, -2, 8, -2, -2, -2, 8, 8, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 8, -2, -2, 8, -2, -2, -2, 8, -2, 8, -2, -2, -2, -2, 2, 2, -8, 2, -8, 2, 2, 2, 2, -8, 2, 2, -8, 2, 2, 2, -8, -8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -8, 2, 2, 2, -8, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
-
id: 4895304
{'cdim': 2, 'counter': 24, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.2r', 'multiplicity': 4, 'nt': [20, 6], 'qdim': 8, 'qvalues': [8, -8, 0, 0, 0, 0, 0, 0, -2, -2, 8, -2, -2, 8, -2, -2, -2, -2, -2, -2, 8, 8, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 8, 8, -2, 8, -2, 8, -2, -2, -2, -2, -2, -2, -2, 2, 2, -8, 2, 2, -8, -8, 2, 2, -8, 2, 2, 2, 2, -8, 2, 2, 2, 2, -8, 2, 2, -8, 2, 2, 2, 2, 2, 2, 2, 2, -8, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
-
id: 4895305
{'cdim': 2, 'counter': 25, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.2s', 'multiplicity': 4, 'nt': [20, 6], 'qdim': 8, 'qvalues': [8, -8, 0, 0, 0, 0, 0, 0, -2, 8, -2, -2, -2, -2, -2, -2, -2, 8, -2, -2, 8, 8, -2, -2, 8, -2, -2, -2, -2, 8, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 8, -2, -2, 8, -2, -2, 2, -8, -8, 2, 2, 2, 2, 2, -8, -8, 2, 2, 2, 2, 2, -8, 2, 2, 2, 2, 2, 2, 2, 2, 2, -8, 2, 2, 2, 2, 2, 2, 2, 2, 2, -8, 2, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
-
id: 4895306
{'cdim': 2, 'counter': 26, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.2t', 'multiplicity': 4, 'nt': [20, 6], 'qdim': 8, 'qvalues': [8, -8, 0, 0, 0, 0, 0, 0, 8, -2, -2, -2, -2, -2, 8, -2, -2, -2, -2, -2, 8, 8, -2, -2, -2, -2, 8, -2, 8, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 8, -2, 8, -2, 2, 2, -8, 2, 2, 2, 2, -8, 2, -8, 2, 2, 2, -8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -8, 2, -8, 2, 2, 2, 2, 2, -8, -8, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
-
id: 4895307
{'cdim': 2, 'counter': 27, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.2u', 'multiplicity': 4, 'nt': [20, 6], 'qdim': 8, 'qvalues': [8, -8, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -8, -8, 2, -8, -8, -8, -8, -8, -8, 2, -8, -8, -8, -8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
-
id: 4895308
{'cdim': 4, 'counter': 28, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.4a', 'multiplicity': 2, 'nt': [10, 9], 'qdim': 8, 'qvalues': [8, 8, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, 8, -2, -2, -2, 8, -2, -2, -2, -2, -2, 3, 3, 3, 3, 3, -2, -2, 3, 3, -2, 3, 3, -2, -2, -2, -2, -2, -2, 3, -2, -2, -2, -2, -2, 8, -2, -2, -2, -2, -2, -2, 8, -2, -2, -2, 3, 3, -2, -2, -2, 3, -2, -2, -2, -2, 3, 3, 3, 3, 3, -2, 3, -2, -2, -2, 3, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
-
id: 4895309
{'cdim': 4, 'counter': 29, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.4b', 'multiplicity': 2, 'nt': [10, 9], 'qdim': 8, 'qvalues': [8, 8, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, 8, -2, -2, -2, 8, -2, -2, -2, -2, 3, -2, -2, -2, -2, -2, 3, -2, -2, -2, 3, -2, -2, 3, 3, 3, 3, 3, 3, -2, 3, -2, -2, -2, -2, 8, -2, -2, -2, -2, -2, -2, 8, -2, -2, -2, -2, -2, 3, 3, -2, -2, -2, -2, 3, 3, -2, -2, -2, -2, -2, -2, -2, 3, 3, 3, -2, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
-
id: 4895311
{'cdim': 4, 'counter': 30, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.4c', 'multiplicity': 2, 'nt': [10, 9], 'qdim': 8, 'qvalues': [8, 8, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 8, -2, -2, -2, -2, -2, 8, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 3, -2, 3, -2, 3, -2, -2, 3, -2, -2, 3, -2, 3, 3, 3, 3, 3, 8, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 8, -2, -2, 3, 3, 3, 3, -2, 3, 3, 3, -2, -2, -2, 3, -2, -2, -2, -2, -2, -2, 3, 3, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
-
id: 4895312
{'cdim': 4, 'counter': 31, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.4d', 'multiplicity': 2, 'nt': [10, 9], 'qdim': 8, 'qvalues': [8, 8, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 8, -2, -2, -2, -2, -2, 8, -2, -2, -2, 3, 3, 3, -2, 3, -2, 3, -2, -2, -2, 3, -2, 3, 3, -2, -2, 3, -2, 3, -2, -2, -2, -2, -2, 8, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 8, -2, -2, -2, -2, -2, -2, 3, -2, -2, -2, 3, -2, 3, -2, 3, -2, -2, 3, 3, 3, -2, -2, 3, 3, -2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
-
id: 4895313
{'cdim': 4, 'counter': 32, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.4e', 'multiplicity': 2, 'nt': [10, 9], 'qdim': 8, 'qvalues': [8, 8, 0, 0, 0, 0, 0, 0, -2, -2, -2, 8, -2, -2, -2, -2, 8, -2, -2, -2, -2, -2, -2, -2, -2, -2, 3, -2, 3, 3, 3, 3, -2, -2, 3, -2, -2, 3, 3, -2, -2, -2, -2, 3, -2, 3, -2, -2, -2, -2, 8, -2, -2, -2, -2, -2, -2, -2, 8, -2, -2, 3, -2, -2, -2, -2, 3, 3, 3, 3, 3, 3, 3, -2, -2, -2, -2, 3, -2, -2, -2, -2, 3, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
-
id: 4895314
{'cdim': 4, 'counter': 33, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.4f', 'multiplicity': 2, 'nt': [10, 9], 'qdim': 8, 'qvalues': [8, 8, 0, 0, 0, 0, 0, 0, -2, -2, -2, 8, -2, -2, -2, -2, 8, -2, -2, -2, -2, -2, 3, 3, 3, 3, -2, 3, -2, -2, -2, -2, -2, 3, -2, -2, 3, -2, -2, -2, 3, -2, 3, -2, 3, -2, -2, -2, -2, -2, 8, -2, -2, -2, -2, -2, -2, -2, 8, -2, 3, -2, -2, -2, 3, 3, -2, -2, -2, -2, -2, -2, -2, 3, 3, 3, -2, -2, 3, 3, -2, 3, -2, 3, 0, 0, 0, 0, 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: 4895315
{'cdim': 4, 'counter': 34, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.4g', 'multiplicity': 2, 'nt': [10, 9], 'qdim': 8, 'qvalues': [8, 8, 0, 0, 0, 0, 0, 0, -2, -2, 8, -2, -2, 8, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 3, 3, 3, 3, 3, -2, -2, 3, -2, -2, -2, -2, -2, -2, -2, 3, 3, 3, -2, -2, -2, 3, -2, -2, -2, -2, -2, 8, 8, -2, -2, -2, -2, -2, -2, -2, -2, -2, 3, 3, -2, -2, 3, 3, -2, -2, 3, -2, 3, 3, 3, -2, -2, -2, -2, -2, -2, 3, -2, 3, 0, 0, 0, 0, 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: 4895316
{'cdim': 4, 'counter': 35, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.4h', 'multiplicity': 2, 'nt': [10, 9], 'qdim': 8, 'qvalues': [8, 8, 0, 0, 0, 0, 0, 0, -2, -2, 8, -2, -2, 8, -2, -2, -2, -2, -2, -2, -2, -2, 3, 3, -2, -2, -2, -2, -2, 3, 3, -2, 3, -2, -2, 3, -2, 3, -2, -2, -2, -2, 3, 3, 3, -2, -2, -2, -2, -2, -2, 8, 8, -2, -2, -2, -2, -2, -2, -2, -2, 3, -2, -2, 3, -2, -2, -2, -2, 3, -2, 3, -2, -2, -2, 3, 3, -2, 3, 3, 3, -2, 3, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4895317
{'cdim': 4, 'counter': 36, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.4i', 'multiplicity': 2, 'nt': [10, 9], 'qdim': 8, 'qvalues': [8, 8, 0, 0, 0, 0, 0, 0, -2, 8, -2, -2, -2, -2, -2, -2, -2, 8, -2, -2, -2, -2, -2, -2, -2, 3, -2, 3, -2, -2, -2, 3, 3, -2, 3, 3, -2, -2, 3, -2, -2, -2, 3, -2, 3, 3, -2, 8, -2, -2, -2, -2, -2, -2, 8, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 3, 3, 3, -2, -2, -2, -2, 3, 3, -2, 3, 3, 3, 3, 3, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4895318
{'cdim': 4, 'counter': 37, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.4j', 'multiplicity': 2, 'nt': [10, 9], 'qdim': 8, 'qvalues': [8, 8, 0, 0, 0, 0, 0, 0, -2, 8, -2, -2, -2, -2, -2, -2, -2, 8, -2, -2, -2, -2, 3, 3, -2, -2, 3, -2, 3, -2, 3, -2, -2, 3, -2, -2, 3, 3, -2, 3, -2, 3, -2, -2, -2, -2, -2, 8, -2, -2, -2, -2, -2, -2, 8, -2, -2, -2, -2, -2, 3, -2, 3, 3, 3, 3, -2, -2, -2, 3, 3, -2, 3, -2, -2, 3, -2, -2, -2, -2, -2, -2, 3, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4895319
{'cdim': 4, 'counter': 38, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.4k', 'multiplicity': 2, 'nt': [10, 9], 'qdim': 8, 'qvalues': [8, 8, 0, 0, 0, 0, 0, 0, 8, -2, -2, -2, -2, -2, 8, -2, -2, -2, -2, -2, -2, -2, -2, -2, 3, -2, -2, -2, -2, -2, 3, 3, 3, 3, -2, 3, 3, 3, -2, -2, 3, -2, -2, -2, -2, 3, -2, -2, -2, -2, -2, -2, -2, 8, -2, -2, -2, -2, -2, 8, 3, -2, -2, -2, -2, 3, 3, 3, -2, 3, -2, -2, -2, -2, -2, -2, 3, -2, -2, -2, 3, 3, 3, 3, 0, 0, 0, 0, 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: 4895320
{'cdim': 4, 'counter': 39, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.4l', 'multiplicity': 2, 'nt': [10, 9], 'qdim': 8, 'qvalues': [8, 8, 0, 0, 0, 0, 0, 0, 8, -2, -2, -2, -2, -2, 8, -2, -2, -2, -2, -2, -2, -2, 3, 3, -2, 3, -2, 3, -2, 3, -2, -2, -2, -2, 3, -2, -2, -2, 3, 3, -2, 3, -2, 3, -2, -2, -2, -2, -2, -2, -2, -2, -2, 8, -2, -2, -2, -2, -2, 8, -2, 3, 3, 3, 3, -2, -2, -2, 3, -2, -2, 3, -2, 3, 3, 3, -2, 3, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4895322
{'cdim': 4, 'counter': 40, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.4m', 'multiplicity': 2, 'nt': [20, 58], 'qdim': 8, 'qvalues': [8, -8, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, 8, -2, -2, -2, 8, -2, -2, -2, -2, -2, 3, 3, 3, 3, 3, -2, -2, 3, 3, -2, 3, 3, -2, -2, -2, -2, -2, -2, 3, -2, -2, 2, 2, 2, -8, 2, 2, 2, 2, 2, 2, -8, 2, 2, 2, -3, -3, 2, 2, 2, -3, 2, 2, 2, 2, -3, -3, -3, -3, -3, 2, -3, 2, 2, 2, -3, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4895323
{'cdim': 4, 'counter': 41, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.4n', 'multiplicity': 2, 'nt': [20, 58], 'qdim': 8, 'qvalues': [8, -8, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, 8, -2, -2, -2, 8, -2, -2, -2, -2, 3, -2, -2, -2, -2, -2, 3, -2, -2, -2, 3, -2, -2, 3, 3, 3, 3, 3, 3, -2, 3, -2, 2, 2, 2, -8, 2, 2, 2, 2, 2, 2, -8, 2, 2, 2, 2, 2, -3, -3, 2, 2, 2, 2, -3, -3, 2, 2, 2, 2, 2, 2, 2, -3, -3, -3, 2, -3, -3, -3, 0, 0, 0, 0, 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: 4895324
{'cdim': 4, 'counter': 42, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.4o', 'multiplicity': 2, 'nt': [20, 58], 'qdim': 8, 'qvalues': [8, -8, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 8, -2, -2, -2, -2, -2, 8, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 3, -2, 3, -2, 3, -2, -2, 3, -2, -2, 3, -2, 3, 3, 3, 3, 3, -8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -8, 2, 2, -3, -3, -3, -3, 2, -3, -3, -3, 2, 2, 2, -3, 2, 2, 2, 2, 2, 2, -3, -3, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4895325
{'cdim': 4, 'counter': 43, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.4p', 'multiplicity': 2, 'nt': [20, 58], 'qdim': 8, 'qvalues': [8, -8, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 8, -2, -2, -2, -2, -2, 8, -2, -2, -2, 3, 3, 3, -2, 3, -2, 3, -2, -2, -2, 3, -2, 3, 3, -2, -2, 3, -2, 3, -2, -2, -2, -2, -2, -8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -8, 2, 2, 2, 2, 2, 2, -3, 2, 2, 2, -3, 2, -3, 2, -3, 2, 2, -3, -3, -3, 2, 2, -3, -3, 2, -3, 0, 0, 0, 0, 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: 4895326
{'cdim': 4, 'counter': 44, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.4q', 'multiplicity': 2, 'nt': [20, 58], 'qdim': 8, 'qvalues': [8, -8, 0, 0, 0, 0, 0, 0, -2, -2, -2, 8, -2, -2, -2, -2, 8, -2, -2, -2, -2, -2, -2, -2, -2, -2, 3, -2, 3, 3, 3, 3, -2, -2, 3, -2, -2, 3, 3, -2, -2, -2, -2, 3, -2, 3, 2, 2, 2, 2, -8, 2, 2, 2, 2, 2, 2, 2, -8, 2, 2, -3, 2, 2, 2, 2, -3, -3, -3, -3, -3, -3, -3, 2, 2, 2, 2, -3, 2, 2, 2, 2, -3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4895327
{'cdim': 4, 'counter': 45, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.4r', 'multiplicity': 2, 'nt': [20, 58], 'qdim': 8, 'qvalues': [8, -8, 0, 0, 0, 0, 0, 0, -2, -2, -2, 8, -2, -2, -2, -2, 8, -2, -2, -2, -2, -2, 3, 3, 3, 3, -2, 3, -2, -2, -2, -2, -2, 3, -2, -2, 3, -2, -2, -2, 3, -2, 3, -2, 3, -2, 2, 2, 2, 2, -8, 2, 2, 2, 2, 2, 2, 2, -8, 2, -3, 2, 2, 2, -3, -3, 2, 2, 2, 2, 2, 2, 2, -3, -3, -3, 2, 2, -3, -3, 2, -3, 2, -3, 0, 0, 0, 0, 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: 4895328
{'cdim': 4, 'counter': 46, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.4s', 'multiplicity': 2, 'nt': [20, 58], 'qdim': 8, 'qvalues': [8, -8, 0, 0, 0, 0, 0, 0, -2, -2, 8, -2, -2, 8, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 3, 3, 3, 3, 3, -2, -2, 3, -2, -2, -2, -2, -2, -2, -2, 3, 3, 3, -2, -2, -2, 3, 2, 2, 2, 2, 2, -8, -8, 2, 2, 2, 2, 2, 2, 2, 2, 2, -3, -3, 2, 2, -3, -3, 2, 2, -3, 2, -3, -3, -3, 2, 2, 2, 2, 2, 2, -3, 2, -3, 0, 0, 0, 0, 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: 4895329
{'cdim': 4, 'counter': 47, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.4t', 'multiplicity': 2, 'nt': [20, 58], 'qdim': 8, 'qvalues': [8, -8, 0, 0, 0, 0, 0, 0, -2, -2, 8, -2, -2, 8, -2, -2, -2, -2, -2, -2, -2, -2, 3, 3, -2, -2, -2, -2, -2, 3, 3, -2, 3, -2, -2, 3, -2, 3, -2, -2, -2, -2, 3, 3, 3, -2, 2, 2, 2, 2, 2, -8, -8, 2, 2, 2, 2, 2, 2, 2, 2, -3, 2, 2, -3, 2, 2, 2, 2, -3, 2, -3, 2, 2, 2, -3, -3, 2, -3, -3, -3, 2, -3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4895330
{'cdim': 4, 'counter': 48, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.4u', 'multiplicity': 2, 'nt': [20, 58], 'qdim': 8, 'qvalues': [8, -8, 0, 0, 0, 0, 0, 0, -2, 8, -2, -2, -2, -2, -2, -2, -2, 8, -2, -2, -2, -2, -2, -2, -2, 3, -2, 3, -2, -2, -2, 3, 3, -2, 3, 3, -2, -2, 3, -2, -2, -2, 3, -2, 3, 3, 2, -8, 2, 2, 2, 2, 2, 2, -8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -3, -3, -3, 2, 2, 2, 2, -3, -3, 2, -3, -3, -3, -3, -3, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4895331
{'cdim': 4, 'counter': 49, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.4v', 'multiplicity': 2, 'nt': [20, 58], 'qdim': 8, 'qvalues': [8, -8, 0, 0, 0, 0, 0, 0, -2, 8, -2, -2, -2, -2, -2, -2, -2, 8, -2, -2, -2, -2, 3, 3, -2, -2, 3, -2, 3, -2, 3, -2, -2, 3, -2, -2, 3, 3, -2, 3, -2, 3, -2, -2, -2, -2, 2, -8, 2, 2, 2, 2, 2, 2, -8, 2, 2, 2, 2, 2, -3, 2, -3, -3, -3, -3, 2, 2, 2, -3, -3, 2, -3, 2, 2, -3, 2, 2, 2, 2, 2, 2, -3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4895333
{'cdim': 4, 'counter': 50, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.4w', 'multiplicity': 2, 'nt': [20, 58], 'qdim': 8, 'qvalues': [8, -8, 0, 0, 0, 0, 0, 0, 8, -2, -2, -2, -2, -2, 8, -2, -2, -2, -2, -2, -2, -2, -2, -2, 3, -2, -2, -2, -2, -2, 3, 3, 3, 3, -2, 3, 3, 3, -2, -2, 3, -2, -2, -2, -2, 3, 2, 2, 2, 2, 2, 2, 2, -8, 2, 2, 2, 2, 2, -8, -3, 2, 2, 2, 2, -3, -3, -3, 2, -3, 2, 2, 2, 2, 2, 2, -3, 2, 2, 2, -3, -3, -3, -3, 0, 0, 0, 0, 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: 4895334
{'cdim': 4, 'counter': 51, 'faithful': False, 'group': '1000.136', 'group_order': 1000, 'image': None, 'label': '1000.136.4x', 'multiplicity': 2, 'nt': [20, 58], 'qdim': 8, 'qvalues': [8, -8, 0, 0, 0, 0, 0, 0, 8, -2, -2, -2, -2, -2, 8, -2, -2, -2, -2, -2, -2, -2, 3, 3, -2, 3, -2, 3, -2, 3, -2, -2, -2, -2, 3, -2, -2, -2, 3, 3, -2, 3, -2, 3, -2, -2, 2, 2, 2, 2, 2, 2, 2, -8, 2, 2, 2, 2, 2, -8, 2, -3, -3, -3, -3, 2, 2, 2, -3, 2, 2, -3, 2, -3, -3, -3, 2, -3, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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gps_char • Show schema
Hide schema
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id: 8094909
{'center': '1.a1', 'center_index': 1, 'center_order': 1000, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1', 'kernel_order': 1000, 'label': '1000.136.1a', 'nt': [1, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
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id: 8094933
{'center': '1.a1', 'center_index': 1, 'center_order': 1000, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1', 'kernel_order': 500, 'label': '1000.136.1b', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
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id: 8094944
{'center': '1.a1', 'center_index': 1, 'center_order': 1000, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1', 'kernel_order': 500, 'label': '1000.136.1c', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
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id: 8094955
{'center': '1.a1', 'center_index': 1, 'center_order': 1000, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 500, 'label': '1000.136.1d', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
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id: 8094966
{'center': '1.a1', 'center_index': 1, 'center_order': 1000, 'counter': 5, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.b1', 'kernel_order': 250, 'label': '1000.136.1e1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]]]}
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id: 8094977
{'center': '1.a1', 'center_index': 1, 'center_order': 1000, 'counter': 6, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.b1', 'kernel_order': 250, 'label': '1000.136.1e2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]]]}
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id: 8094988
{'center': '1.a1', 'center_index': 1, 'center_order': 1000, 'counter': 7, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.b1', 'kernel_order': 250, 'label': '1000.136.1f1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]]]}
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id: 8094999
{'center': '1.a1', 'center_index': 1, 'center_order': 1000, 'counter': 8, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.b1', 'kernel_order': 250, 'label': '1000.136.1f2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]]]}
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id: 8095010
{'center': '10.b1', 'center_index': 10, 'center_order': 100, 'counter': 9, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '10.1', 'image_order': 10, 'indicator': 1, 'kernel': '10.b1', 'kernel_order': 100, 'label': '1000.136.2a1', 'nt': [5, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[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]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]]]}
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id: 8094910
{'center': '10.b1', 'center_index': 10, 'center_order': 100, 'counter': 10, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '10.1', 'image_order': 10, 'indicator': 1, 'kernel': '10.b1', 'kernel_order': 100, 'label': '1000.136.2a2', 'nt': [5, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
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id: 8094921
{'center': '10.a1', 'center_index': 10, 'center_order': 100, 'counter': 11, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '10.1', 'image_order': 10, 'indicator': 1, 'kernel': '10.a1', 'kernel_order': 100, 'label': '1000.136.2b1', 'nt': [5, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094925
{'center': '10.a1', 'center_index': 10, 'center_order': 100, 'counter': 12, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '10.1', 'image_order': 10, 'indicator': 1, 'kernel': '10.a1', 'kernel_order': 100, 'label': '1000.136.2b2', 'nt': [5, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094926
{'center': '10.a1', 'center_index': 10, 'center_order': 100, 'counter': 13, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '10.1', 'image_order': 10, 'indicator': 1, 'kernel': '10.a1', 'kernel_order': 100, 'label': '1000.136.2c1', 'nt': [5, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094927
{'center': '10.a1', 'center_index': 10, 'center_order': 100, 'counter': 14, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '10.1', 'image_order': 10, 'indicator': 1, 'kernel': '10.a1', 'kernel_order': 100, 'label': '1000.136.2c2', 'nt': [5, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094928
{'center': '10.a1', 'center_index': 10, 'center_order': 100, 'counter': 15, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '10.1', 'image_order': 10, 'indicator': 1, 'kernel': '10.a1', 'kernel_order': 100, 'label': '1000.136.2d1', 'nt': [5, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094929
{'center': '10.a1', 'center_index': 10, 'center_order': 100, 'counter': 16, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '10.1', 'image_order': 10, 'indicator': 1, 'kernel': '10.a1', 'kernel_order': 100, 'label': '1000.136.2d2', 'nt': [5, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094930
{'center': '10.a1', 'center_index': 10, 'center_order': 100, 'counter': 17, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '10.1', 'image_order': 10, 'indicator': 1, 'kernel': '10.a1', 'kernel_order': 100, 'label': '1000.136.2e1', 'nt': [5, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094931
{'center': '10.a1', 'center_index': 10, 'center_order': 100, 'counter': 18, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '10.1', 'image_order': 10, 'indicator': 1, 'kernel': '10.a1', 'kernel_order': 100, 'label': '1000.136.2e2', 'nt': [5, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094932
{'center': '10.a1', 'center_index': 10, 'center_order': 100, 'counter': 19, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '10.1', 'image_order': 10, 'indicator': 1, 'kernel': '10.a1', 'kernel_order': 100, 'label': '1000.136.2f1', 'nt': [5, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094934
{'center': '10.a1', 'center_index': 10, 'center_order': 100, 'counter': 20, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '10.1', 'image_order': 10, 'indicator': 1, 'kernel': '10.a1', 'kernel_order': 100, 'label': '1000.136.2f2', 'nt': [5, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094935
{'center': '10.a1', 'center_index': 10, 'center_order': 100, 'counter': 21, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '10.1', 'image_order': 10, 'indicator': 1, 'kernel': '10.a1', 'kernel_order': 100, 'label': '1000.136.2g1', 'nt': [5, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094936
{'center': '10.a1', 'center_index': 10, 'center_order': 100, 'counter': 22, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '10.1', 'image_order': 10, 'indicator': 1, 'kernel': '10.a1', 'kernel_order': 100, 'label': '1000.136.2g2', 'nt': [5, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094937
{'center': '10.a1', 'center_index': 10, 'center_order': 100, 'counter': 23, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '20.4', 'image_order': 20, 'indicator': 1, 'kernel': '20.a1', 'kernel_order': 50, 'label': '1000.136.2h1', 'nt': [10, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094938
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id: 8094939
{'center': '10.a1', 'center_index': 10, 'center_order': 100, 'counter': 25, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '20.4', 'image_order': 20, 'indicator': 1, 'kernel': '20.a1', 'kernel_order': 50, 'label': '1000.136.2i1', 'nt': [10, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094940
{'center': '10.a1', 'center_index': 10, 'center_order': 100, 'counter': 26, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '20.4', 'image_order': 20, 'indicator': 1, 'kernel': '20.a1', 'kernel_order': 50, 'label': '1000.136.2i2', 'nt': [10, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094941
{'center': '10.a1', 'center_index': 10, 'center_order': 100, 'counter': 27, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '20.4', 'image_order': 20, 'indicator': 1, 'kernel': '20.a1', 'kernel_order': 50, 'label': '1000.136.2j1', 'nt': [10, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094942
{'center': '10.a1', 'center_index': 10, 'center_order': 100, 'counter': 28, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '20.4', 'image_order': 20, 'indicator': 1, 'kernel': '20.a1', 'kernel_order': 50, 'label': '1000.136.2j2', 'nt': [10, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094943
{'center': '10.a1', 'center_index': 10, 'center_order': 100, 'counter': 29, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '20.4', 'image_order': 20, 'indicator': 1, 'kernel': '20.a1', 'kernel_order': 50, 'label': '1000.136.2k1', 'nt': [10, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094945
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id: 8094946
{'center': '10.a1', 'center_index': 10, 'center_order': 100, 'counter': 31, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '20.4', 'image_order': 20, 'indicator': 1, 'kernel': '20.a1', 'kernel_order': 50, 'label': '1000.136.2l1', 'nt': [10, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094947
{'center': '10.a1', 'center_index': 10, 'center_order': 100, 'counter': 32, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '20.4', 'image_order': 20, 'indicator': 1, 'kernel': '20.a1', 'kernel_order': 50, 'label': '1000.136.2l2', 'nt': [10, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-2, 0]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094948
{'center': '10.a1', 'center_index': 10, 'center_order': 100, 'counter': 33, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '20.4', 'image_order': 20, 'indicator': 1, 'kernel': '20.a1', 'kernel_order': 50, 'label': '1000.136.2m1', 'nt': [10, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-2, 0]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-2, 0]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094949
{'center': '10.a1', 'center_index': 10, 'center_order': 100, 'counter': 34, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '20.4', 'image_order': 20, 'indicator': 1, 'kernel': '20.a1', 'kernel_order': 50, 'label': '1000.136.2m2', 'nt': [10, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094950
{'center': '10.b1', 'center_index': 10, 'center_order': 100, 'counter': 35, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '20.4', 'image_order': 20, 'indicator': 1, 'kernel': '20.b1', 'kernel_order': 50, 'label': '1000.136.2n1', 'nt': [10, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[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]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]]]}
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id: 8094951
{'center': '10.b1', 'center_index': 10, 'center_order': 100, 'counter': 36, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '20.4', 'image_order': 20, 'indicator': 1, 'kernel': '20.b1', 'kernel_order': 50, 'label': '1000.136.2n2', 'nt': [10, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
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id: 8094952
{'center': '10.a1', 'center_index': 10, 'center_order': 100, 'counter': 37, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '40.5', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1', 'kernel_order': 25, 'label': '1000.136.2o1', 'nt': [20, 6], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 5]], [[2, 5]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[2, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-2, 0]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-2, 0]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-2, 5]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-2, 5]], [[-1, 3], [-1, 7]], [[2, 5]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[2, 5]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094953
{'center': '10.a1', 'center_index': 10, 'center_order': 100, 'counter': 38, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '40.5', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1', 'kernel_order': 25, 'label': '1000.136.2o2', 'nt': [20, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[2, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-2, 0]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-2, 0]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[2, 5]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[2, 5]], [[1, 3], [1, 7]], [[-2, 5]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-2, 5]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094954
{'center': '10.a1', 'center_index': 10, 'center_order': 100, 'counter': 39, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '40.5', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1', 'kernel_order': 25, 'label': '1000.136.2o3', 'nt': [20, 6], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 5]], [[2, 5]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[2, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-2, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[-2, 5]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-2, 5]], [[1, 3], [-1, 5], [1, 7]], [[2, 5]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[2, 5]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094956
{'center': '10.a1', 'center_index': 10, 'center_order': 100, 'counter': 40, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '40.5', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1', 'kernel_order': 25, 'label': '1000.136.2o4', 'nt': [20, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[2, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-2, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[2, 5]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[2, 5]], [[-1, 3], [1, 5], [-1, 7]], [[-2, 5]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[-2, 5]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094957
{'center': '10.a1', 'center_index': 10, 'center_order': 100, 'counter': 41, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '40.5', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1', 'kernel_order': 25, 'label': '1000.136.2p1', 'nt': [20, 6], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 5]], [[2, 5]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[2, 0]], [[1, 4], [1, -4]], [[2, 0]], [[2, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 0]], [[1, 4], [1, -4]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[2, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[1, 2], [1, -2]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-2, 0]], [[1, 2], [1, -2]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094958
{'center': '10.a1', 'center_index': 10, 'center_order': 100, 'counter': 42, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '40.5', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1', 'kernel_order': 25, 'label': '1000.136.2p2', 'nt': [20, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[2, 0]], [[1, 4], [1, -4]], [[2, 0]], [[2, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 0]], [[1, 4], [1, -4]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[2, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[1, 2], [1, -2]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094959
{'center': '10.a1', 'center_index': 10, 'center_order': 100, 'counter': 43, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '40.5', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1', 'kernel_order': 25, 'label': '1000.136.2p3', 'nt': [20, 6], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 5]], [[2, 5]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[2, 0]], [[-1, 2], [-1, -2]], [[2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[2, 0]], [[-1, 2], [-1, -2]], [[2, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[2, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-2, 0]], [[1, 2], [1, -2]], [[-2, 0]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[-1, 4], [-1, -4]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094960
{'center': '10.a1', 'center_index': 10, 'center_order': 100, 'counter': 44, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '40.5', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1', 'kernel_order': 25, 'label': '1000.136.2p4', 'nt': [20, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[2, 0]], [[-1, 2], [-1, -2]], [[2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[2, 0]], [[-1, 2], [-1, -2]], [[2, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[2, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-2, 0]], [[1, 2], [1, -2]], [[-2, 0]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094961
{'center': '10.a1', 'center_index': 10, 'center_order': 100, 'counter': 45, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '40.5', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1', 'kernel_order': 25, 'label': '1000.136.2q1', 'nt': [20, 6], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 5]], [[2, 5]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[2, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[2, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[2, 0]], [[-1, 2], [-1, -2]], [[2, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-2, 0]], [[1, 2], [1, -2]], [[-2, 0]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-2, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, 7]], [[2, 5]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-2, 5]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[2, 5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094962
{'center': '10.a1', 'center_index': 10, 'center_order': 100, 'counter': 46, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '40.5', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1', 'kernel_order': 25, 'label': '1000.136.2q2', 'nt': [20, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[2, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[2, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[2, 0]], [[-1, 2], [-1, -2]], [[2, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-2, 0]], [[1, 2], [1, -2]], [[-2, 0]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-2, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 3], [1, 7]], [[-2, 5]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[2, 5]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-2, 5]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094963
{'center': '10.a1', 'center_index': 10, 'center_order': 100, 'counter': 47, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '40.5', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1', 'kernel_order': 25, 'label': '1000.136.2q3', 'nt': [20, 6], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 5]], [[2, 5]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[2, 0]], [[2, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[2, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 0]], [[1, 4], [1, -4]], [[2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-2, 0]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-2, 0]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-2, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 3], [-1, 5], [1, 7]], [[2, 5]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[-2, 5]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[2, 5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094964
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id: 8094965
{'center': '10.a1', 'center_index': 10, 'center_order': 100, 'counter': 49, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '40.5', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1', 'kernel_order': 25, 'label': '1000.136.2r1', 'nt': [20, 6], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 5]], [[2, 5]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[2, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[2, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[2, 0]], [[-1, 2], [-1, -2]], [[2, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-2, 0]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-2, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-2, 0]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-2, 0]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-2, 5]], [[1, 3], [1, 7]], [[2, 5]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[2, 5]], [[1, 3], [1, 7]], [[-2, 5]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094967
{'center': '10.a1', 'center_index': 10, 'center_order': 100, 'counter': 50, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '40.5', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1', 'kernel_order': 25, 'label': '1000.136.2r2', 'nt': [20, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[2, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[2, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[2, 0]], [[-1, 2], [-1, -2]], [[2, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-2, 0]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-2, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-2, 0]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-2, 0]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[2, 5]], [[-1, 3], [-1, 7]], [[-2, 5]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-2, 5]], [[-1, 3], [-1, 7]], [[2, 5]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094968
{'center': '10.a1', 'center_index': 10, 'center_order': 100, 'counter': 51, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '40.5', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1', 'kernel_order': 25, 'label': '1000.136.2r3', 'nt': [20, 6], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 5]], [[2, 5]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[2, 0]], [[2, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 0]], [[2, 0]], [[1, 4], [1, -4]], [[2, 0]], [[1, 4], [1, -4]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-2, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-2, 0]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-2, 0]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[-2, 5]], [[-1, 3], [1, 5], [-1, 7]], [[2, 5]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[2, 5]], [[-1, 3], [1, 5], [-1, 7]], [[-2, 5]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094969
{'center': '10.a1', 'center_index': 10, 'center_order': 100, 'counter': 52, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '40.5', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1', 'kernel_order': 25, 'label': '1000.136.2r4', 'nt': [20, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[2, 0]], [[2, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 0]], [[2, 0]], [[1, 4], [1, -4]], [[2, 0]], [[1, 4], [1, -4]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-2, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-2, 0]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-2, 0]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[2, 5]], [[1, 3], [-1, 5], [1, 7]], [[-2, 5]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-2, 5]], [[1, 3], [-1, 5], [1, 7]], [[2, 5]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094970
{'center': '10.a1', 'center_index': 10, 'center_order': 100, 'counter': 53, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '40.5', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1', 'kernel_order': 25, 'label': '1000.136.2s1', 'nt': [20, 6], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 5]], [[2, 5]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[2, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[2, 0]], [[2, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[2, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-2, 0]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-2, 0]], [[1, 2], [1, -2]], [[-2, 0]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[-2, 5]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[2, 5]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-2, 5]], [[2, 5]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094971
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id: 8094972
{'center': '10.a1', 'center_index': 10, 'center_order': 100, 'counter': 55, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '40.5', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1', 'kernel_order': 25, 'label': '1000.136.2s3', 'nt': [20, 6], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 5]], [[2, 5]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[2, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[2, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[2, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[2, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-2, 0]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-2, 5]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[2, 5]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[-2, 5]], [[2, 5]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094973
{'center': '10.a1', 'center_index': 10, 'center_order': 100, 'counter': 56, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '40.5', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1', 'kernel_order': 25, 'label': '1000.136.2s4', 'nt': [20, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[2, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[2, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[2, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[2, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[2, 5]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-2, 5]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[2, 5]], [[-2, 5]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094974
{'center': '10.a1', 'center_index': 10, 'center_order': 100, 'counter': 57, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '40.5', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1', 'kernel_order': 25, 'label': '1000.136.2t1', 'nt': [20, 6], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 5]], [[2, 5]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[2, 0]], [[2, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[2, 0]], [[1, 4], [1, -4]], [[2, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 0]], [[-1, 2], [-1, -2]], [[2, 0]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-2, 0]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[2, 5]], [[-1, 3], [-1, 7]], [[2, 5]], [[-2, 5]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-2, 5]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094975
{'center': '10.a1', 'center_index': 10, 'center_order': 100, 'counter': 58, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '40.5', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1', 'kernel_order': 25, 'label': '1000.136.2t2', 'nt': [20, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[2, 0]], [[2, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[2, 0]], [[1, 4], [1, -4]], [[2, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 0]], [[-1, 2], [-1, -2]], [[2, 0]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-2, 0]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-2, 5]], [[1, 3], [1, 7]], [[-2, 5]], [[2, 5]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[2, 5]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094976
{'center': '10.a1', 'center_index': 10, 'center_order': 100, 'counter': 59, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '40.5', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1', 'kernel_order': 25, 'label': '1000.136.2t3', 'nt': [20, 6], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 5]], [[2, 5]], [[0, 0]], [[0, 0]], [[2, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[2, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[2, 0]], [[-1, 2], [-1, -2]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[2, 0]], [[1, 4], [1, -4]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-2, 0]], [[1, 2], [1, -2]], [[-2, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-2, 0]], [[1, 2], [1, -2]], [[-2, 0]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 5]], [[1, 3], [-1, 5], [1, 7]], [[2, 5]], [[-2, 5]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[-2, 5]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094978
{'center': '10.a1', 'center_index': 10, 'center_order': 100, 'counter': 60, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '40.5', 'image_order': 40, 'indicator': 0, 'kernel': '40.a1', 'kernel_order': 25, 'label': '1000.136.2t4', 'nt': [20, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[2, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[2, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[2, 0]], [[-1, 2], [-1, -2]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[2, 0]], [[1, 4], [1, -4]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-2, 0]], [[1, 2], [1, -2]], [[-2, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-2, 0]], [[1, 2], [1, -2]], [[-2, 0]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-2, 5]], [[-1, 3], [1, 5], [-1, 7]], [[-2, 5]], [[2, 5]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[2, 5]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [1, 7]], [[1, 3], [-1, 5], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094979
{'center': '10.b1', 'center_index': 10, 'center_order': 100, 'counter': 61, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '40.5', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1', 'kernel_order': 25, 'label': '1000.136.2u1', 'nt': [20, 6], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5]], [[2, 5]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]]]}
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id: 8094980
{'center': '10.b1', 'center_index': 10, 'center_order': 100, 'counter': 62, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '40.5', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1', 'kernel_order': 25, 'label': '1000.136.2u2', 'nt': [20, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[-2, 5]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]]]}
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id: 8094981
{'center': '10.b1', 'center_index': 10, 'center_order': 100, 'counter': 63, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '40.5', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1', 'kernel_order': 25, 'label': '1000.136.2u3', 'nt': [20, 6], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5]], [[2, 5]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, 7]], [[1, 3], [1, 7]], [[-1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [1, 7]]]}
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id: 8094982
{'center': '10.b1', 'center_index': 10, 'center_order': 100, 'counter': 64, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 3, 0, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '40.5', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1', 'kernel_order': 25, 'label': '1000.136.2u4', 'nt': [20, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[-2, 5]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, 7]], [[-1, 3], [-1, 7]], [[1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [-1, 7]]]}
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id: 8094983
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 65, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '100.13', 'image_order': 100, 'indicator': 1, 'kernel': '100.a1', 'kernel_order': 10, 'label': '1000.136.4a1', 'nt': [10, 9], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[4, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[4, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[4, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[4, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[-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]]]}
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id: 8094984
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 66, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '100.13', 'image_order': 100, 'indicator': 1, 'kernel': '100.a1', 'kernel_order': 10, 'label': '1000.136.4a2', 'nt': [10, 9], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[4, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[4, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[4, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[4, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 1], [2, -1]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[-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]]]}
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id: 8094985
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 67, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '100.13', 'image_order': 100, 'indicator': 1, 'kernel': '100.a1', 'kernel_order': 10, 'label': '1000.136.4b1', 'nt': [10, 9], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[4, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[4, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 2], [2, -2]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[4, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[4, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[-1, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 1], [2, -1]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094986
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 68, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '100.13', 'image_order': 100, 'indicator': 1, 'kernel': '100.a1', 'kernel_order': 10, 'label': '1000.136.4b2', 'nt': [10, 9], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[4, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[4, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[4, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[4, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 1], [2, -1]], [[-1, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 2], [2, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094987
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 69, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '100.13', 'image_order': 100, 'indicator': 1, 'kernel': '100.a1', 'kernel_order': 10, 'label': '1000.136.4c1', 'nt': [10, 9], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[4, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[4, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 1], [2, -1]], [[-1, 0]], [[2, 2], [2, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[4, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[4, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 2], [2, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[2, 1], [2, -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]]]}
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id: 8094989
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 70, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '100.13', 'image_order': 100, 'indicator': 1, 'kernel': '100.a1', 'kernel_order': 10, 'label': '1000.136.4c2', 'nt': [10, 9], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[4, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[4, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 2], [2, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 1], [2, -1]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[4, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[4, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[2, 2], [2, -2]], [[-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]]]}
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id: 8094990
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 71, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '100.13', 'image_order': 100, 'indicator': 1, 'kernel': '100.a1', 'kernel_order': 10, 'label': '1000.136.4d1', 'nt': [10, 9], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[4, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[4, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 2], [2, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[4, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 1], [2, -1]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 2], [2, -2]], [[1, 0], [-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094991
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 72, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '100.13', 'image_order': 100, 'indicator': 1, 'kernel': '100.a1', 'kernel_order': 10, 'label': '1000.136.4d2', 'nt': [10, 9], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[4, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[4, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 2], [2, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[4, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[2, 0], [1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094992
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 73, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '100.13', 'image_order': 100, 'indicator': 1, 'kernel': '100.a1', 'kernel_order': 10, 'label': '1000.136.4e1', 'nt': [10, 9], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[4, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[4, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 2], [2, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 1], [2, -1]], [[-1, 0]], [[2, 2], [2, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[4, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[4, 0]], [[2, 1], [2, -1]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 2], [2, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[2, 1], [2, -1]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-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]]]}
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id: 8094993
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id: 8094994
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 75, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '100.13', 'image_order': 100, 'indicator': 1, 'kernel': '100.a1', 'kernel_order': 10, 'label': '1000.136.4f1', 'nt': [10, 9], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[4, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[4, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 1], [2, -1]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 2], [2, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[2, 2], [2, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[4, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[4, 0]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 1], [2, -1]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 2], [2, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094995
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 76, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '100.13', 'image_order': 100, 'indicator': 1, 'kernel': '100.a1', 'kernel_order': 10, 'label': '1000.136.4f2', 'nt': [10, 9], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[4, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[4, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 2], [2, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[2, 1], [2, -1]], [[2, 0], [1, 2], [1, -2]], [[2, 2], [2, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[4, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[4, 0]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094996
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 77, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '100.13', 'image_order': 100, 'indicator': 1, 'kernel': '100.a1', 'kernel_order': 10, 'label': '1000.136.4g1', 'nt': [10, 9], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[4, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[4, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[-1, 0]], [[2, 1], [2, -1]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[4, 0]], [[4, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[2, 2], [2, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094997
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 78, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '100.13', 'image_order': 100, 'indicator': 1, 'kernel': '100.a1', 'kernel_order': 10, 'label': '1000.136.4g2', 'nt': [10, 9], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[4, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[4, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[-1, 0]], [[2, 2], [2, -2]], [[-1, 0]], [[2, 2], [2, -2]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[4, 0]], [[4, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 2], [2, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[2, 1], [2, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094998
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 79, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '100.13', 'image_order': 100, 'indicator': 1, 'kernel': '100.a1', 'kernel_order': 10, 'label': '1000.136.4h1', 'nt': [10, 9], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[4, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[4, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[4, 0]], [[4, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[-1, 0]], [[-1, 0]], [[2, 2], [2, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-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]]]}
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id: 8095000
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 80, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '100.13', 'image_order': 100, 'indicator': 1, 'kernel': '100.a1', 'kernel_order': 10, 'label': '1000.136.4h2', 'nt': [10, 9], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[4, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[4, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 1], [2, -1]], [[2, 0], [1, 2], [1, -2]], [[2, 1], [2, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[4, 0]], [[4, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 2], [2, -2]], [[-1, 0]], [[-1, 0]], [[2, 1], [2, -1]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-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]]]}
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id: 8095001
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 81, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '100.13', 'image_order': 100, 'indicator': 1, 'kernel': '100.a1', 'kernel_order': 10, 'label': '1000.136.4i1', 'nt': [10, 9], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[4, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[4, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-1, 0]], [[-1, 0]], [[2, 1], [2, -1]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 2], [2, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 2], [2, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 1], [2, -1]], [[4, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[4, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-1, 0]], [[2, 1], [2, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[2, 2], [2, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[-1, 0]], [[2, 1], [2, -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]]]}
-
id: 8095002
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 82, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '100.13', 'image_order': 100, 'indicator': 1, 'kernel': '100.a1', 'kernel_order': 10, 'label': '1000.136.4i2', 'nt': [10, 9], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[4, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[4, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-1, 0]], [[-1, 0]], [[2, 2], [2, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[4, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[4, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-1, 0]], [[2, 2], [2, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[2, 1], [2, -1]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 1], [2, -1]], [[-1, 0]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8095003
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 83, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '100.13', 'image_order': 100, 'indicator': 1, 'kernel': '100.a1', 'kernel_order': 10, 'label': '1000.136.4j1', 'nt': [10, 9], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[4, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[4, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 2], [2, -2]], [[-1, 0]], [[-1, 0]], [[2, 1], [2, -1]], [[4, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[4, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 0], [1, 2], [1, -2]], [[2, 2], [2, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
-
id: 8095004
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 84, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '100.13', 'image_order': 100, 'indicator': 1, 'kernel': '100.a1', 'kernel_order': 10, 'label': '1000.136.4j2', 'nt': [10, 9], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[4, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[4, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 1], [2, -1]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[-1, 0]], [[-1, 0]], [[2, 2], [2, -2]], [[4, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[4, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 1], [2, -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]]]}
-
id: 8095005
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 85, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '100.13', 'image_order': 100, 'indicator': 1, 'kernel': '100.a1', 'kernel_order': 10, 'label': '1000.136.4k1', 'nt': [10, 9], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[4, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 2], [2, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[-1, 0]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[4, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[4, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
-
id: 8095006
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 86, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '100.13', 'image_order': 100, 'indicator': 1, 'kernel': '100.a1', 'kernel_order': 10, 'label': '1000.136.4k2', 'nt': [10, 9], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[4, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[-1, 0]], [[2, 2], [2, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 2], [2, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[4, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[4, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 1], [2, -1]], [[-1, 0]], [[2, 2], [2, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
-
id: 8095007
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 87, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '100.13', 'image_order': 100, 'indicator': 1, 'kernel': '100.a1', 'kernel_order': 10, 'label': '1000.136.4l1', 'nt': [10, 9], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[4, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[2, 0], [1, 2], [1, -2]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[-1, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[4, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[4, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[2, 0], [1, 2], [1, -2]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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]]]}
-
id: 8095008
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 88, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '100.13', 'image_order': 100, 'indicator': 1, 'kernel': '100.a1', 'kernel_order': 10, 'label': '1000.136.4l2', 'nt': [10, 9], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[4, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 2], [2, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 1], [2, -1]], [[2, 0], [1, 2], [1, -2]], [[2, 2], [2, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[4, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[4, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 2], [2, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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]]]}
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id: 8095009
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 89, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '200.23', 'image_order': 200, 'indicator': 1, 'kernel': '200.a1', 'kernel_order': 5, 'label': '1000.136.4m1', 'nt': [20, 58], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[4, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[4, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-4, 0]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-4, 0]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 0], [-1, 2], [-1, -2]], [[-1, 0], [1, 2], [1, -2]], [[1, 0]], [[1, 0]], [[-2, 1], [-2, -1]], [[-1, 0], [1, 2], [1, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[1, 0]], [[1, 0]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-1, 0], [1, 2], [1, -2]], [[-2, 2], [-2, -2]], [[-1, 0], [1, 2], [1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0]], [[1, 0]], [[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]]]}
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id: 8095011
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 90, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '200.23', 'image_order': 200, 'indicator': 1, 'kernel': '200.a1', 'kernel_order': 5, 'label': '1000.136.4m2', 'nt': [20, 58], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[4, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[4, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-4, 0]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-4, 0]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0]], [[1, 0]], [[-2, 2], [-2, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[1, 0]], [[1, 0]], [[-1, 0], [1, 2], [1, -2]], [[-1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 1], [-2, -1]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0], [1, 2], [1, -2]], [[1, 0]], [[1, 0]], [[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]]]}
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id: 8095012
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 91, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '200.23', 'image_order': 200, 'indicator': 1, 'kernel': '200.a1', 'kernel_order': 5, 'label': '1000.136.4n1', 'nt': [20, 58], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[4, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[4, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 2], [2, -2]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-4, 0]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-4, 0]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[1, 0]], [[1, 0]], [[-2, 0], [-1, 2], [-1, -2]], [[-1, 0], [1, 2], [1, -2]], [[-2, 2], [-2, -2]], [[1, 0]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-1, 0], [1, 2], [1, -2]], [[-1, 0], [1, 2], [1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 1], [-2, -1]], [[1, 0]], [[-2, 0], [-1, 2], [-1, -2]], [[-1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0]], [[-1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8095013
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 92, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '200.23', 'image_order': 200, 'indicator': 1, 'kernel': '200.a1', 'kernel_order': 5, 'label': '1000.136.4n2', 'nt': [20, 58], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[4, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[4, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 2], [2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-4, 0]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-4, 0]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[1, 0]], [[1, 0]], [[-1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 1], [-2, -1]], [[1, 0]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 2], [-2, -2]], [[1, 0]], [[-1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-1, 0], [1, 2], [1, -2]], [[1, 0]], [[-2, 0], [-1, 2], [-1, -2]], [[-1, 0], [1, 2], [1, -2]], [[-1, 0], [1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
-
id: 8095014
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 93, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '200.23', 'image_order': 200, 'indicator': 1, 'kernel': '200.a1', 'kernel_order': 5, 'label': '1000.136.4o1', 'nt': [20, 58], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[4, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[4, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 1], [2, -1]], [[-1, 0]], [[2, 2], [2, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-4, 0]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-4, 0]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-1, 0], [1, 2], [1, -2]], [[1, 0]], [[-2, 0], [-1, 2], [-1, -2]], [[-1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0]], [[-2, 2], [-2, -2]], [[1, 0]], [[-1, 0], [1, 2], [1, -2]], [[1, 0]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0]], [[1, 0]], [[-2, 1], [-2, -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]]]}
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id: 8095015
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 94, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '200.23', 'image_order': 200, 'indicator': 1, 'kernel': '200.a1', 'kernel_order': 5, 'label': '1000.136.4o2', 'nt': [20, 58], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[4, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[4, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 2], [2, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 1], [2, -1]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-4, 0]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-4, 0]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-1, 0], [1, 2], [1, -2]], [[-1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0]], [[-1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-1, 0], [1, 2], [1, -2]], [[1, 0]], [[-2, 1], [-2, -1]], [[1, 0]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0], [-1, 2], [-1, -2]], [[-1, 0], [1, 2], [1, -2]], [[1, 0]], [[1, 0]], [[-2, 2], [-2, -2]], [[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]]]}
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id: 8095016
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 95, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '200.23', 'image_order': 200, 'indicator': 1, 'kernel': '200.a1', 'kernel_order': 5, 'label': '1000.136.4p1', 'nt': [20, 58], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[4, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[4, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 2], [2, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-4, 0]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-4, 0]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 1], [-2, -1]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0]], [[-1, 0], [1, 2], [1, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-1, 0], [1, 2], [1, -2]], [[-1, 0], [1, 2], [1, -2]], [[-1, 0], [1, 2], [1, -2]], [[1, 0]], [[1, 0]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 2], [-2, -2]], [[-1, 0], [1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8095017
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 96, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '200.23', 'image_order': 200, 'indicator': 1, 'kernel': '200.a1', 'kernel_order': 5, 'label': '1000.136.4p2', 'nt': [20, 58], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[4, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[4, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 2], [2, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-4, 0]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-4, 0]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0], [1, 2], [1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0], [1, 2], [1, -2]], [[-2, 2], [-2, -2]], [[-1, 0], [1, 2], [1, -2]], [[1, 0]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0]], [[1, 0]], [[-1, 0], [1, 2], [1, -2]], [[-1, 0], [1, 2], [1, -2]], [[-2, 1], [-2, -1]], [[-2, 0], [-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8095018
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 97, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '200.23', 'image_order': 200, 'indicator': 1, 'kernel': '200.a1', 'kernel_order': 5, 'label': '1000.136.4q1', 'nt': [20, 58], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[4, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[4, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 2], [2, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 1], [2, -1]], [[-1, 0]], [[2, 2], [2, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-4, 0]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-4, 0]], [[-2, 1], [-2, -1]], [[1, 0]], [[-1, 0], [1, 2], [1, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[1, 0]], [[1, 0]], [[-2, 0], [-1, 2], [-1, -2]], [[-1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-1, 0], [1, 2], [1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 2], [-2, -2]], [[-1, 0], [1, 2], [1, -2]], [[1, 0]], [[1, 0]], [[-2, 1], [-2, -1]], [[1, 0]], [[-1, 0], [1, 2], [1, -2]], [[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]]]}
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id: 8095019
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 98, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '200.23', 'image_order': 200, 'indicator': 1, 'kernel': '200.a1', 'kernel_order': 5, 'label': '1000.136.4q2', 'nt': [20, 58], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[4, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[4, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 2], [2, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-4, 0]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-4, 0]], [[-2, 2], [-2, -2]], [[1, 0]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[1, 0]], [[1, 0]], [[-1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-1, 0], [1, 2], [1, -2]], [[-1, 0], [1, 2], [1, -2]], [[-1, 0], [1, 2], [1, -2]], [[-1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 1], [-2, -1]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0]], [[1, 0]], [[-2, 2], [-2, -2]], [[1, 0]], [[-2, 0], [-1, 2], [-1, -2]], [[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]]]}
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id: 8095020
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 99, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '200.23', 'image_order': 200, 'indicator': 1, 'kernel': '200.a1', 'kernel_order': 5, 'label': '1000.136.4r1', 'nt': [20, 58], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[4, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[4, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 1], [2, -1]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 2], [2, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[2, 2], [2, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-4, 0]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-4, 0]], [[-2, 1], [-2, -1]], [[-1, 0], [1, 2], [1, -2]], [[1, 0]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 1], [-2, -1]], [[1, 0]], [[-1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 2], [-2, -2]], [[-1, 0], [1, 2], [1, -2]], [[1, 0]], [[-2, 0], [-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094911
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 100, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '200.23', 'image_order': 200, 'indicator': 1, 'kernel': '200.a1', 'kernel_order': 5, 'label': '1000.136.4r2', 'nt': [20, 58], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[4, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[4, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 2], [2, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[2, 1], [2, -1]], [[2, 0], [1, 2], [1, -2]], [[2, 2], [2, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-4, 0]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-4, 0]], [[-2, 2], [-2, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 0], [-1, 2], [-1, -2]], [[-1, 0], [1, 2], [1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0], [-1, 2], [-1, -2]], [[-1, 0], [1, 2], [1, -2]], [[-1, 0], [1, 2], [1, -2]], [[-2, 2], [-2, -2]], [[1, 0]], [[-2, 0], [-1, 2], [-1, -2]], [[-1, 0], [1, 2], [1, -2]], [[-2, 1], [-2, -1]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0]], [[-1, 0], [1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094912
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 101, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '200.23', 'image_order': 200, 'indicator': 1, 'kernel': '200.a1', 'kernel_order': 5, 'label': '1000.136.4s1', 'nt': [20, 58], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[4, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[4, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[-1, 0]], [[2, 1], [2, -1]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-4, 0]], [[-4, 0]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[1, 0]], [[-1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0]], [[-2, 2], [-2, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-1, 0], [1, 2], [1, -2]], [[-2, 1], [-2, -1]], [[1, 0]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0]], [[-1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-1, 0], [1, 2], [1, -2]], [[1, 0]], [[1, 0]], [[-2, 2], [-2, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0]], [[-1, 0], [1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094913
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 102, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '200.23', 'image_order': 200, 'indicator': 1, 'kernel': '200.a1', 'kernel_order': 5, 'label': '1000.136.4s2', 'nt': [20, 58], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[4, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[4, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[-1, 0]], [[2, 2], [2, -2]], [[-1, 0]], [[2, 2], [2, -2]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-4, 0]], [[-4, 0]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[1, 0]], [[-2, 0], [-1, 2], [-1, -2]], [[-1, 0], [1, 2], [1, -2]], [[1, 0]], [[-2, 1], [-2, -1]], [[-1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 2], [-2, -2]], [[1, 0]], [[-1, 0], [1, 2], [1, -2]], [[1, 0]], [[-2, 0], [-1, 2], [-1, -2]], [[-1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0]], [[1, 0]], [[-2, 1], [-2, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0], [1, 2], [1, -2]], [[1, 0]], [[-2, 0], [-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094914
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 103, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '200.23', 'image_order': 200, 'indicator': 1, 'kernel': '200.a1', 'kernel_order': 5, 'label': '1000.136.4t1', 'nt': [20, 58], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[4, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[4, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-4, 0]], [[-4, 0]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0]], [[1, 0]], [[-1, 0], [1, 2], [1, -2]], [[-2, 1], [-2, -1]], [[1, 0]], [[1, 0]], [[-2, 2], [-2, -2]], [[-1, 0], [1, 2], [1, -2]], [[1, 0]], [[-1, 0], [1, 2], [1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 1], [-2, -1]], [[-1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-1, 0], [1, 2], [1, -2]], [[1, 0]], [[-2, 0], [-1, 2], [-1, -2]], [[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]]]}
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id: 8094915
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 104, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '200.23', 'image_order': 200, 'indicator': 1, 'kernel': '200.a1', 'kernel_order': 5, 'label': '1000.136.4t2', 'nt': [20, 58], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[4, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[4, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 1], [2, -1]], [[2, 0], [1, 2], [1, -2]], [[2, 1], [2, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-4, 0]], [[-4, 0]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-1, 0], [1, 2], [1, -2]], [[1, 0]], [[1, 0]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 2], [-2, -2]], [[1, 0]], [[1, 0]], [[-2, 1], [-2, -1]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0], [1, 2], [1, -2]], [[-1, 0], [1, 2], [1, -2]], [[-2, 2], [-2, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0]], [[-1, 0], [1, 2], [1, -2]], [[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]]]}
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id: 8094916
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 105, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '200.23', 'image_order': 200, 'indicator': 1, 'kernel': '200.a1', 'kernel_order': 5, 'label': '1000.136.4u1', 'nt': [20, 58], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[4, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[4, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-1, 0]], [[-1, 0]], [[2, 1], [2, -1]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 2], [2, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 2], [2, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-2, 1], [-2, -1]], [[-4, 0]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-4, 0]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[1, 0]], [[-2, 1], [-2, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-1, 0], [1, 2], [1, -2]], [[1, 0]], [[1, 0]], [[-2, 2], [-2, -2]], [[1, 0]], [[-1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-1, 0], [1, 2], [1, -2]], [[-2, 2], [-2, -2]], [[1, 0]], [[-2, 1], [-2, -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]]]}
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id: 8094917
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 106, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '200.23', 'image_order': 200, 'indicator': 1, 'kernel': '200.a1', 'kernel_order': 5, 'label': '1000.136.4u2', 'nt': [20, 58], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[4, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[4, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-1, 0]], [[-1, 0]], [[2, 2], [2, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-2, 2], [-2, -2]], [[-4, 0]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-4, 0]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[1, 0]], [[-2, 2], [-2, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0], [-1, 2], [-1, -2]], [[-1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0]], [[1, 0]], [[-2, 1], [-2, -1]], [[1, 0]], [[-2, 0], [-1, 2], [-1, -2]], [[-1, 0], [1, 2], [1, -2]], [[1, 0]], [[-1, 0], [1, 2], [1, -2]], [[-1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 1], [-2, -1]], [[1, 0]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094918
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 107, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '200.23', 'image_order': 200, 'indicator': 1, 'kernel': '200.a1', 'kernel_order': 5, 'label': '1000.136.4v1', 'nt': [20, 58], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[4, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[4, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 2], [2, -2]], [[-1, 0]], [[-1, 0]], [[-2, 1], [-2, -1]], [[-4, 0]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-4, 0]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 2], [-2, -2]], [[-1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-1, 0], [1, 2], [1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 1], [-2, -1]], [[-1, 0], [1, 2], [1, -2]], [[1, 0]], [[1, 0]], [[-1, 0], [1, 2], [1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 1], [-2, -1]], [[-1, 0], [1, 2], [1, -2]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094919
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 108, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '200.23', 'image_order': 200, 'indicator': 1, 'kernel': '200.a1', 'kernel_order': 5, 'label': '1000.136.4v2', 'nt': [20, 58], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[4, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[4, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 1], [2, -1]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[-1, 0]], [[-1, 0]], [[-2, 2], [-2, -2]], [[-4, 0]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-4, 0]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-1, 0], [1, 2], [1, -2]], [[-2, 1], [-2, -1]], [[-2, 0], [-1, 2], [-1, -2]], [[-1, 0], [1, 2], [1, -2]], [[-1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0], [1, 2], [1, -2]], [[-1, 0], [1, 2], [1, -2]], [[-2, 2], [-2, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0]], [[1, 0]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 2], [-2, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 1], [-2, -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]]]}
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id: 8094920
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 109, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '200.23', 'image_order': 200, 'indicator': 1, 'kernel': '200.a1', 'kernel_order': 5, 'label': '1000.136.4w1', 'nt': [20, 58], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[4, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 2], [2, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[-1, 0]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-4, 0]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-4, 0]], [[-1, 0], [1, 2], [1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0], [-1, 2], [-1, -2]], [[-1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0]], [[-1, 0], [1, 2], [1, -2]], [[-2, 2], [-2, -2]], [[1, 0]], [[-2, 1], [-2, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-1, 0], [1, 2], [1, -2]], [[-1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094922
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 110, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '200.23', 'image_order': 200, 'indicator': 1, 'kernel': '200.a1', 'kernel_order': 5, 'label': '1000.136.4w2', 'nt': [20, 58], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[4, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[-1, 0]], [[2, 2], [2, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 2], [2, -2]], [[-1, 0]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-4, 0]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-4, 0]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-1, 0], [1, 2], [1, -2]], [[1, 0]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 1], [-2, -1]], [[1, 0]], [[-2, 2], [-2, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0], [1, 2], [1, -2]], [[1, 0]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-1, 0], [1, 2], [1, -2]], [[-1, 0], [1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 8094923
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 111, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '200.23', 'image_order': 200, 'indicator': 1, 'kernel': '200.a1', 'kernel_order': 5, 'label': '1000.136.4x1', 'nt': [20, 58], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[4, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[2, 0], [1, 2], [1, -2]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[-1, 0]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-4, 0]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-4, 0]], [[1, 0]], [[-1, 0], [1, 2], [1, -2]], [[-1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0]], [[-2, 1], [-2, -1]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 2], [-2, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-1, 0], [1, 2], [1, -2]], [[-1, 0], [1, 2], [1, -2]], [[1, 0]], [[-1, 0], [1, 2], [1, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[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]]]}
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id: 8094924
{'center': '100.a1', 'center_index': 100, 'center_order': 10, 'counter': 112, 'cyclotomic_n': 5, 'dim': 4, 'faithful': False, 'field': [-1, -1, 1], 'group': '1000.136', 'group_counter': 136, 'group_order': 1000, 'image': None, 'image_isoclass': '200.23', 'image_order': 200, 'indicator': 1, 'kernel': '200.a1', 'kernel_order': 5, 'label': '1000.136.4x2', 'nt': [20, 58], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[4, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 2], [2, -2]], [[1, 0], [-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0], [-1, 2], [-1, -2]], [[1, 0], [-1, 2], [-1, -2]], [[-1, 0]], [[2, 0], [1, 2], [1, -2]], [[2, 1], [2, -1]], [[2, 0], [1, 2], [1, -2]], [[2, 2], [2, -2]], [[-1, 0]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-4, 0]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-4, 0]], [[1, 0]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-1, 0], [1, 2], [1, -2]], [[-1, 0], [1, 2], [1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0], [1, 2], [1, -2]], [[1, 0]], [[-2, 2], [-2, -2]], [[-1, 0], [1, 2], [1, -2]], [[-2, 1], [-2, -1]], [[-1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[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]]]}
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gps_subgroup_search • Show schema
Hide schema
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id: 69368289
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 1000, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 10, 'label': '1000.136.1.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'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1000.136', 'subgroup_hash': 136, 'subgroup_order': 1000, 'subgroup_tex': 'C_{10}.D_5^2', 'supersolvable': True, 'sylow': 0}
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id: 69368300
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 500, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1000.136.2.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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '500.55', 'subgroup_hash': 55, 'subgroup_order': 500, 'subgroup_tex': 'C_5^2:D_{10}', 'supersolvable': True, 'sylow': 0}
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id: 69368311
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': True, 'core_order': 500, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1000.136.2.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '500.37', 'subgroup_hash': 37, 'subgroup_order': 500, 'subgroup_tex': 'C_5^2:C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 69368322
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': True, 'core_order': 500, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1000.136.2.c1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '500.38', 'subgroup_hash': 38, 'subgroup_order': 500, 'subgroup_tex': 'C_5^2:C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 69368333
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 250, 'characteristic': True, 'core_order': 250, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1000.136.4.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['F', 'S'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '250.15', 'subgroup_hash': 15, 'subgroup_order': 250, 'subgroup_tex': 'C_5^2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 69368335
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 250, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1000.136.4.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '250.14', 'subgroup_hash': 14, 'subgroup_order': 250, 'subgroup_tex': 'C_5^3:C_2', 'supersolvable': True, 'sylow': 0}
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id: 69368336
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 100, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1000.136.5.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5.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': 5, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.33', 'subgroup_hash': 33, 'subgroup_order': 200, 'subgroup_tex': 'C_{20}:D_5', 'supersolvable': True, 'sylow': 0}
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id: 69368337
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 100, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1000.136.5.b1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5.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': 5, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.23', 'subgroup_hash': 23, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}.D_{10}', 'supersolvable': True, 'sylow': 0}
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id: 69368338
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 250, 'characteristic': True, 'core_order': 125, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 5, 'label': '1000.136.8.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '125.5', 'subgroup_hash': 5, 'subgroup_order': 125, 'subgroup_tex': 'C_5^3', 'supersolvable': True, 'sylow': 5}
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id: 69368290
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 100, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1000.136.10.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_5', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '100.6', 'subgroup_hash': 6, 'subgroup_order': 100, 'subgroup_tex': 'C_5:C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 69368291
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': True, 'centralizer_order': 20, 'characteristic': True, 'core_order': 100, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1000.136.10.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '100.7', 'subgroup_hash': 7, 'subgroup_order': 100, 'subgroup_tex': 'C_5^2:C_4', 'supersolvable': True, 'sylow': 0}
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id: 69368292
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 50, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1000.136.10.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10.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': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.15', 'subgroup_hash': 15, 'subgroup_order': 100, 'subgroup_tex': 'C_5:D_{10}', 'supersolvable': True, 'sylow': 0}
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id: 69368293
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 10, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1000.136.10.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10.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': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.15', 'subgroup_hash': 15, 'subgroup_order': 100, 'subgroup_tex': 'C_5:D_{10}', 'supersolvable': True, 'sylow': 0}
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id: 69368294
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 50, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1000.136.10.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10.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': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.15', 'subgroup_hash': 15, 'subgroup_order': 100, 'subgroup_tex': 'C_5:D_{10}', 'supersolvable': True, 'sylow': 0}
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id: 69368295
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 50, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1000.136.10.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.8', 'subgroup_hash': 8, 'subgroup_order': 100, 'subgroup_tex': 'C_5\\times C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 69368296
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 50, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1000.136.10.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.6', 'subgroup_hash': 6, 'subgroup_order': 100, 'subgroup_tex': 'C_5:C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 69368297
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 250, 'characteristic': False, 'core_order': 50, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1000.136.20.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{10}', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 69368298
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 500, 'characteristic': True, 'core_order': 50, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1000.136.20.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 69368299
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 250, 'characteristic': False, 'core_order': 10, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1000.136.20.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 69368301
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 25, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1000.136.20.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
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id: 69368302
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 5, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1000.136.20.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
-
id: 69368303
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 25, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1000.136.20.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
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id: 69368304
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 10, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1000.136.25.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '25.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': 25, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.5', 'subgroup_hash': 5, 'subgroup_order': 40, 'subgroup_tex': 'C_4\\times D_5', 'supersolvable': True, 'sylow': 0}
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id: 69368305
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 20, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1000.136.25.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '25.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': 25, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.5', 'subgroup_hash': 5, 'subgroup_order': 40, 'subgroup_tex': 'C_4\\times D_5', 'supersolvable': True, 'sylow': 0}
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id: 69368306
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 250, 'characteristic': False, 'core_order': 25, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1000.136.40.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_5', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 0}
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id: 69368307
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 500, 'characteristic': True, 'core_order': 25, 'counter': 26, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1000.136.40.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 0}
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id: 69368308
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 250, 'characteristic': False, 'core_order': 5, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1000.136.40.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 0}
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id: 69368309
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': True, 'centralizer_order': 100, 'characteristic': True, 'core_order': 20, 'counter': 28, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1000.136.50.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '50.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '50.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 50, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:D_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '20.1', 'subgroup_hash': 1, 'subgroup_order': 20, 'subgroup_tex': 'C_5:C_4', 'supersolvable': True, 'sylow': 0}
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id: 69368310
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 10, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1000.136.50.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.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': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
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id: 69368312
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 10, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1000.136.50.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.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': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
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id: 69368313
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1000.136.50.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.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': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
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id: 69368314
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 10, 'counter': 32, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1000.136.50.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '50.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': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 69368315
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 10, 'counter': 33, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1000.136.50.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '50.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 69368316
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 10, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1000.136.50.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.1', 'subgroup_hash': 1, 'subgroup_order': 20, 'subgroup_tex': 'C_5:C_4', 'supersolvable': True, 'sylow': 0}
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id: 69368317
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 500, 'characteristic': False, 'core_order': 10, 'counter': 35, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1000.136.100.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '100.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '100.13', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_5^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 69368318
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 500, 'characteristic': True, 'core_order': 10, 'counter': 36, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1000.136.100.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '100.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '100.15', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 15, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 69368319
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 250, 'characteristic': False, 'core_order': 2, 'counter': 37, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1000.136.100.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '100.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': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 69368320
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 5, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1000.136.100.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.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': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.1', 'subgroup_hash': 1, 'subgroup_order': 10, 'subgroup_tex': 'D_5', 'supersolvable': True, 'sylow': 0}
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id: 69368321
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 5, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1000.136.100.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.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': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.1', 'subgroup_hash': 1, 'subgroup_order': 10, 'subgroup_tex': 'D_5', 'supersolvable': True, 'sylow': 0}
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id: 69368323
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1000.136.100.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.1', 'subgroup_hash': 1, 'subgroup_order': 10, 'subgroup_tex': 'D_5', 'supersolvable': True, 'sylow': 0}
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id: 69368324
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '1000.136.125.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '125.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': 125, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 2}
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id: 69368325
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 500, 'characteristic': False, 'core_order': 5, 'counter': 42, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1000.136.200.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '200.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '200.23', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}.D_{10}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 0}
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id: 69368326
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 500, 'characteristic': True, 'core_order': 5, 'counter': 43, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1000.136.200.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '200.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '200.33', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 33, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{20}:D_5', 'simple': True, 'solvable': True, 'special_labels': ['C5'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 0}
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id: 69368327
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 250, 'characteristic': False, 'core_order': 1, 'counter': 44, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1000.136.200.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '200.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': 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': 0}
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id: 69368328
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1000.136.250.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '250.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': 250, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 69368329
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 200, 'characteristic': False, 'core_order': 2, 'counter': 46, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1000.136.250.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '250.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': 250, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 69368330
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 2, 'counter': 47, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1000.136.250.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '250.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': 250, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 69368331
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': True, 'central_factor': False, 'centralizer_order': 1000, 'characteristic': True, 'core_order': 2, 'counter': 48, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1000.136.500.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '500.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '500.51', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 51, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 500, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:D_5^2', 'simple': True, 'solvable': True, 'special_labels': ['Z', 'Phi', 'U0'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 69368332
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 49, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1000.136.500.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '500.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': 500, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 69368334
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1000.136', 'ambient_counter': 136, 'ambient_order': 1000, 'ambient_tex': 'C_{10}.D_5^2', 'central': True, 'central_factor': False, 'centralizer_order': 1000, 'characteristic': True, 'core_order': 1, 'counter': 50, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '1000.136.1000.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1000.a1', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '1000.136', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 136, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1000, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}.D_5^2', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U1', '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: 69368303
{'ambient': '1000.136', 'aut_centralizer_order': 8, 'aut_label': '20.f1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '12000.a', 'aut_weyl_index': 80, 'centralizer': '250.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.b1', '10.e1'], 'contains': ['40.b1', '100.d1'], 'core': '40.b1', 'coset_action_label': None, 'count': 10, 'diagramx': [2163, -1, 220, -1], 'generators': [11, 40, 2], 'label': '1000.136.20.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '20.f1', 'projective_image': '1000.136', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.f1', 'subgroup_fusion': None, 'weyl_group': '50.4'}
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id: 69368289
{'ambient': '1000.136', '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': '500.a1', 'complements': ['1000.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '2.b1', '2.c1', '5.a1', '5.b1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6453, 5335, 5365, 5127], 'generators': [1, 200, 100, 2, 50, 40], 'label': '1000.136.1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '2.b1', '2.c1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '500.51', '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': '500.51'}
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id: 69368290
{'ambient': '1000.136', 'aut_centralizer_order': 1000, 'aut_label': '10.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '160.203', 'aut_weyl_index': 6000, 'centralizer': '20.b1', 'complements': ['100.d1', '100.f1'], 'conjugacy_class_count': 6, 'contained_in': ['2.b1', '5.b1'], 'contains': ['20.a1', '50.a1', '50.e1'], 'core': '10.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [7740, 8724, 6931, 1301], 'generators': [50, 100, 200, 2], 'label': '1000.136.10.a1', 'mobius_quo': 0, 'mobius_sub': 5, 'normal_closure': '10.a1', 'normal_contained_in': ['2.b1'], 'normal_contains': ['20.a1', '50.a1'], 'normalizer': '1.a1', 'old_label': '10.a1', 'projective_image': '500.51', 'quotient_action_image': '2.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '10.a1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
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id: 69368291
{'ambient': '1000.136', 'aut_centralizer_order': 40, 'aut_label': '10.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '24000.bv', 'aut_weyl_index': 40, 'centralizer': '50.a1', 'complements': ['100.e1', '100.f1'], 'conjugacy_class_count': 1, 'contained_in': ['2.c1', '5.a1'], 'contains': ['20.b1', '50.g1'], 'core': '10.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [6876, 864, 6079, 9004], 'generators': [1, 2, 40, 100], 'label': '1000.136.10.b1', 'mobius_quo': 0, 'mobius_sub': 5, 'normal_closure': '10.b1', 'normal_contained_in': ['2.c1'], 'normal_contains': ['20.b1'], 'normalizer': '1.a1', 'old_label': '10.b1', 'projective_image': '500.51', 'quotient_action_image': '2.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '10.b1', 'subgroup_fusion': None, 'weyl_group': '50.4'}
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id: 69368292
{'ambient': '1000.136', 'aut_centralizer_order': 40, 'aut_label': '10.c1', 'aut_quo_index': None, 'aut_stab_index': 30, 'aut_weyl_group': '800.1192', 'aut_weyl_index': 1200, 'centralizer': '500.a1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['2.a1', '5.b1'], 'contains': ['20.a1', '20.d1', '50.b1', '50.c1', '50.d1'], 'core': '20.a1', 'coset_action_label': None, 'count': 30, 'diagramx': [4797, -1, 4257, -1], 'generators': [11, 2, 200, 100], 'label': '1000.136.10.c1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.b1', 'old_label': '10.c1', 'projective_image': '500.51', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.c1', 'subgroup_fusion': None, 'weyl_group': '100.13'}
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id: 69368293
{'ambient': '1000.136', 'aut_centralizer_order': 2, 'aut_label': '10.d1', 'aut_quo_index': None, 'aut_stab_index': 120, 'aut_weyl_group': '4000.ca', 'aut_weyl_index': 240, 'centralizer': '500.a1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['2.a1'], 'contains': ['20.c1', '20.e1', '50.b1', '50.d1'], 'core': '100.a1', 'coset_action_label': None, 'count': 120, 'diagramx': [2332, -1, 1167, -1], 'generators': [11, 2, 240, 100], 'label': '1000.136.10.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.d1', 'old_label': '10.d1', 'projective_image': '500.51', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.d1', 'subgroup_fusion': None, 'weyl_group': '50.4'}
-
id: 69368294
{'ambient': '1000.136', 'aut_centralizer_order': 8, 'aut_label': '10.e1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '24000.bv', 'aut_weyl_index': 40, 'centralizer': '250.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '5.a1'], 'contains': ['20.b1', '20.f1', '50.b1'], 'core': '20.b1', 'coset_action_label': None, 'count': 5, 'diagramx': [3565, -1, 2161, -1], 'generators': [11, 2, 40, 100], 'label': '1000.136.10.e1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.e1', 'projective_image': '500.51', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.e1', 'subgroup_fusion': None, 'weyl_group': '50.4'}
-
id: 69368295
{'ambient': '1000.136', 'aut_centralizer_order': 200, 'aut_label': '10.f1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '960.5693', 'aut_weyl_index': 1000, 'centralizer': '10.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1', '5.a1'], 'contains': ['20.b1', '50.e1'], 'core': '20.b1', 'coset_action_label': None, 'count': 5, 'diagramx': [6024, -1, 5240, -1], 'generators': [50, 40, 100, 2], 'label': '1000.136.10.f1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.f1', 'projective_image': '500.51', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 69368296
{'ambient': '1000.136', 'aut_centralizer_order': 200, 'aut_label': '10.g1', 'aut_quo_index': None, 'aut_stab_index': 30, 'aut_weyl_group': '160.203', 'aut_weyl_index': 6000, 'centralizer': '100.b1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['2.c1', '5.b1'], 'contains': ['20.a1', '50.f1', '50.g1'], 'core': '20.a1', 'coset_action_label': None, 'count': 30, 'diagramx': [9202, -1, 8741, -1], 'generators': [1, 100, 2, 200], 'label': '1000.136.10.g1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.b1', 'old_label': '10.g1', 'projective_image': '500.51', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.g1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
-
id: 69368297
{'ambient': '1000.136', 'aut_centralizer_order': 10000, 'aut_label': '20.a1', 'aut_quo_index': 2, 'aut_stab_index': 6, 'aut_weyl_group': '16.2', 'aut_weyl_index': 60000, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['4.a1', '10.a1', '10.c1', '10.g1'], 'contains': ['40.a1', '100.a1', '100.b1', '100.c1'], 'core': '20.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [6296, 7407, 5567, 3537], 'generators': [100, 200, 2], 'label': '1000.136.20.a1', 'mobius_quo': -1, 'mobius_sub': -10, 'normal_closure': '20.a1', 'normal_contained_in': ['4.a1', '10.a1'], 'normal_contains': ['40.a1', '100.a1', '100.b1'], 'normalizer': '1.a1', 'old_label': '20.a1', 'projective_image': '500.51', 'quotient_action_image': '4.2', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '20.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 69368298
{'ambient': '1000.136', 'aut_centralizer_order': 2000, 'aut_label': '20.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '480.218', 'aut_weyl_index': 2000, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '10.b1', '10.e1', '10.f1'], 'contains': ['40.b1', '100.a1'], 'core': '20.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4846, 3947, 4067, 7834], 'generators': [100, 40, 2], 'label': '1000.136.20.b1', 'mobius_quo': -5, 'mobius_sub': -10, 'normal_closure': '20.b1', 'normal_contained_in': ['4.a1', '10.b1'], 'normal_contains': ['40.b1', '100.a1'], 'normalizer': '1.a1', 'old_label': '20.b1', 'projective_image': '500.51', 'quotient_action_image': '2.1', 'quotient_action_kernel': '10.1', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '20.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 69368299
{'ambient': '1000.136', 'aut_centralizer_order': 500, 'aut_label': '20.c1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '80.30', 'aut_weyl_index': 12000, 'centralizer': '4.a1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['4.a1', '10.d1'], 'contains': ['40.c1', '100.a1', '100.c1'], 'core': '100.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [2937, -1, 2566, -1], 'generators': [100, 240, 2], 'label': '1000.136.20.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '20.c1', 'projective_image': '500.51', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 69368300
{'ambient': '1000.136', 'aut_centralizer_order': 2, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 2, 'centralizer': '500.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.b1', '10.c1', '10.d1', '10.e1'], 'core': '2.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3655, 5335, 2739, 5127], 'generators': [11, 2, 40, 100, 200], 'label': '1000.136.2.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.b1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': '500.51', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.a1', 'subgroup_fusion': None, 'weyl_group': '500.51'}
-
id: 69368301
{'ambient': '1000.136', 'aut_centralizer_order': 40, 'aut_label': '20.d1', 'aut_quo_index': None, 'aut_stab_index': 60, 'aut_weyl_group': '400.205', 'aut_weyl_index': 2400, 'centralizer': '500.a1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['4.b1', '10.c1'], 'contains': ['40.a1', '100.d1', '100.e1', '100.f1'], 'core': '40.a1', 'coset_action_label': None, 'count': 60, 'diagramx': [1378, -1, 1804, -1], 'generators': [11, 200, 2], 'label': '1000.136.20.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.b1', 'old_label': '20.d1', 'projective_image': '1000.136', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.d1', 'subgroup_fusion': None, 'weyl_group': '100.13'}
-
id: 69368302
{'ambient': '1000.136', 'aut_centralizer_order': 2, 'aut_label': '20.e1', 'aut_quo_index': None, 'aut_stab_index': 240, 'aut_weyl_group': '2000.473', 'aut_weyl_index': 480, 'centralizer': '500.a1', 'complements': None, 'conjugacy_class_count': 24, 'contained_in': ['4.b1', '10.d1'], 'contains': ['40.c1', '100.d1', '100.f1'], 'core': '200.a1', 'coset_action_label': None, 'count': 240, 'diagramx': [592, -1, 1256, -1], 'generators': [11, 240, 2], 'label': '1000.136.20.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.d1', 'old_label': '20.e1', 'projective_image': '1000.136', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.e1', 'subgroup_fusion': None, 'weyl_group': '50.4'}
-
id: 69368304
{'ambient': '1000.136', 'aut_centralizer_order': 80, 'aut_label': '25.a1', 'aut_quo_index': None, 'aut_stab_index': 150, 'aut_weyl_group': '80.50', 'aut_weyl_index': 12000, 'centralizer': '250.b1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['5.a1', '5.b1'], 'contains': ['50.b1', '50.e1', '50.g1', '125.a1'], 'core': '100.a1', 'coset_action_label': None, 'count': 150, 'diagramx': [8356, -1, 7836, -1], 'generators': [1, 100, 2, 50], 'label': '1000.136.25.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '25.a1', 'old_label': '25.a1', 'projective_image': '500.51', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '25.a1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
-
id: 69368305
{'ambient': '1000.136', 'aut_centralizer_order': 480, 'aut_label': '25.b1', 'aut_quo_index': None, 'aut_stab_index': 25, 'aut_weyl_group': '80.50', 'aut_weyl_index': 12000, 'centralizer': '250.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['5.b1'], 'contains': ['50.a1', '50.c1', '50.f1', '125.a1'], 'core': '50.a1', 'coset_action_label': None, 'count': 25, 'diagramx': [9426, -1, 9646, -1], 'generators': [1, 100, 200, 50], 'label': '1000.136.25.b1', 'mobius_quo': None, 'mobius_sub': 5, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '25.b1', 'old_label': '25.b1', 'projective_image': '500.51', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '25.b1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
-
id: 69368306
{'ambient': '1000.136', 'aut_centralizer_order': 10000, 'aut_label': '40.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '16.2', 'aut_weyl_index': 60000, 'centralizer': '4.a1', 'complements': ['25.a1'], 'conjugacy_class_count': 6, 'contained_in': ['8.a1', '20.a1', '20.d1'], 'contains': ['200.a1', '200.b1', '200.c1'], 'core': '40.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [1378, 6002, 2322, 4201], 'generators': [2, 200], 'label': '1000.136.40.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '40.a1', 'normal_contained_in': ['8.a1', '20.a1'], 'normal_contains': ['200.a1', '200.b1'], 'normalizer': '1.a1', 'old_label': '40.a1', 'projective_image': '1000.136', 'quotient_action_image': '4.2', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '40.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 69368307
{'ambient': '1000.136', 'aut_centralizer_order': 2000, 'aut_label': '40.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '480.218', 'aut_weyl_index': 2000, 'centralizer': '2.b1', 'complements': ['25.b1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '20.b1', '20.f1'], 'contains': ['200.a1'], 'core': '40.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2103, 2920, 798, 7170], 'generators': [2, 40], 'label': '1000.136.40.b1', 'mobius_quo': 5, 'mobius_sub': 0, 'normal_closure': '40.b1', 'normal_contained_in': ['8.a1', '20.b1'], 'normal_contains': ['200.a1'], 'normalizer': '1.a1', 'old_label': '40.b1', 'projective_image': '1000.136', 'quotient_action_image': '2.1', 'quotient_action_kernel': '20.1', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '40.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 69368308
{'ambient': '1000.136', 'aut_centralizer_order': 500, 'aut_label': '40.c1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '80.30', 'aut_weyl_index': 12000, 'centralizer': '4.a1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['8.a1', '20.c1', '20.e1'], 'contains': ['200.a1', '200.c1'], 'core': '200.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [193, -1, 1405, -1], 'generators': [2, 240], 'label': '1000.136.40.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '40.c1', 'projective_image': '1000.136', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 69368309
{'ambient': '1000.136', 'aut_centralizer_order': 24000, 'aut_label': '50.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '40.12', 'aut_weyl_index': 24000, 'centralizer': '10.b1', 'complements': ['20.f1', '20.e1'], 'conjugacy_class_count': 1, 'contained_in': ['10.a1', '25.b1'], 'contains': ['100.b1', '250.b1'], 'core': '50.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8078, 9136, 7931, 1301], 'generators': [50, 200, 100], 'label': '1000.136.50.a1', 'mobius_quo': 0, 'mobius_sub': -125, 'normal_closure': '50.a1', 'normal_contained_in': ['10.a1'], 'normal_contains': ['100.b1'], 'normalizer': '1.a1', 'old_label': '50.a1', 'projective_image': '500.51', 'quotient_action_image': '2.1', 'quotient_action_kernel': '25.2', 'quotient_action_kernel_order': 25, 'quotient_fusion': None, 'short_label': '50.a1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
-
id: 69368310
{'ambient': '1000.136', 'aut_centralizer_order': 160, 'aut_label': '50.b1', 'aut_quo_index': None, 'aut_stab_index': 150, 'aut_weyl_group': '40.12', 'aut_weyl_index': 24000, 'centralizer': '250.b1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['10.c1', '10.d1', '10.e1', '25.a1'], 'contains': ['100.a1', '100.d1', '250.a1'], 'core': '100.a1', 'coset_action_label': None, 'count': 150, 'diagramx': [4773, -1, 4817, -1], 'generators': [11, 2, 100], 'label': '1000.136.50.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '25.a1', 'old_label': '50.b1', 'projective_image': '500.51', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50.b1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
-
id: 69368311
{'ambient': '1000.136', 'aut_centralizer_order': 50, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 50, 'centralizer': '20.b1', 'complements': ['500.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '10.a1', '10.f1'], 'core': '2.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [5770, 8554, 4305, 1843], 'generators': [50, 40, 100, 2, 200], 'label': '1000.136.2.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '10.a1'], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': '500.51', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.b1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
-
id: 69368312
{'ambient': '1000.136', 'aut_centralizer_order': 960, 'aut_label': '50.c1', 'aut_quo_index': None, 'aut_stab_index': 25, 'aut_weyl_group': '40.12', 'aut_weyl_index': 24000, 'centralizer': '250.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['10.c1', '25.b1'], 'contains': ['100.b1', '100.e1', '250.a1'], 'core': '100.b1', 'coset_action_label': None, 'count': 25, 'diagramx': [6006, -1, 6317, -1], 'generators': [11, 200, 100], 'label': '1000.136.50.c1', 'mobius_quo': None, 'mobius_sub': -5, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '25.b1', 'old_label': '50.c1', 'projective_image': '500.51', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50.c1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
-
id: 69368313
{'ambient': '1000.136', 'aut_centralizer_order': 40, 'aut_label': '50.d1', 'aut_quo_index': None, 'aut_stab_index': 600, 'aut_weyl_group': '40.12', 'aut_weyl_index': 24000, 'centralizer': '500.a1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['10.c1', '10.d1'], 'contains': ['100.c1', '100.f1', '250.a1'], 'core': '500.a1', 'coset_action_label': None, 'count': 600, 'diagramx': [2918, -1, 3317, -1], 'generators': [11, 202, 100], 'label': '1000.136.50.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.d1', 'old_label': '50.d1', 'projective_image': '500.51', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50.d1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
-
id: 69368314
{'ambient': '1000.136', 'aut_centralizer_order': 4000, 'aut_label': '50.e1', 'aut_quo_index': None, 'aut_stab_index': 30, 'aut_weyl_group': '8.2', 'aut_weyl_index': 120000, 'centralizer': '10.f1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['10.a1', '10.f1', '25.a1'], 'contains': ['100.a1', '250.b1'], 'core': '100.a1', 'coset_action_label': None, 'count': 30, 'diagramx': [6906, -1, 6847, -1], 'generators': [50, 100, 2], 'label': '1000.136.50.e1', 'mobius_quo': None, 'mobius_sub': -5, 'normal_closure': '10.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '50.e1', 'projective_image': '500.51', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 69368315
{'ambient': '1000.136', 'aut_centralizer_order': 4800, 'aut_label': '50.f1', 'aut_quo_index': None, 'aut_stab_index': 25, 'aut_weyl_group': '8.2', 'aut_weyl_index': 120000, 'centralizer': '50.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['10.g1', '25.b1'], 'contains': ['100.b1', '250.c1'], 'core': '100.b1', 'coset_action_label': None, 'count': 25, 'diagramx': [9807, -1, 9277, -1], 'generators': [1, 100, 200], 'label': '1000.136.50.f1', 'mobius_quo': None, 'mobius_sub': -5, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '25.b1', 'old_label': '50.f1', 'projective_image': '500.51', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 69368316
{'ambient': '1000.136', 'aut_centralizer_order': 800, 'aut_label': '50.g1', 'aut_quo_index': None, 'aut_stab_index': 30, 'aut_weyl_group': '40.12', 'aut_weyl_index': 24000, 'centralizer': '50.a1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['10.b1', '10.g1', '25.a1'], 'contains': ['100.a1', '250.c1'], 'core': '100.a1', 'coset_action_label': None, 'count': 30, 'diagramx': [7523, -1, 7383, -1], 'generators': [1, 2, 100], 'label': '1000.136.50.g1', 'mobius_quo': None, 'mobius_sub': -5, 'normal_closure': '10.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.b1', 'old_label': '50.g1', 'projective_image': '500.51', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50.g1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
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id: 69368317
{'ambient': '1000.136', 'aut_centralizer_order': 40000, 'aut_label': '100.a1', 'aut_quo_index': 2, 'aut_stab_index': 6, 'aut_weyl_group': '4.1', 'aut_weyl_index': 240000, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['20.a1', '20.b1', '20.c1', '50.b1', '50.e1', '50.g1'], 'contains': ['200.a1', '500.a1'], 'core': '100.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [5390, 5676, 4817, 5686], 'generators': [100, 2], 'label': '1000.136.100.a1', 'mobius_quo': 1, 'mobius_sub': 50, 'normal_closure': '100.a1', 'normal_contained_in': ['20.a1', '20.b1'], 'normal_contains': ['200.a1', '500.a1'], 'normalizer': '1.a1', 'old_label': '100.a1', 'projective_image': '500.51', 'quotient_action_image': '2.1', 'quotient_action_kernel': '50.3', 'quotient_action_kernel_order': 50, 'quotient_fusion': None, 'short_label': '100.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 69368318
{'ambient': '1000.136', 'aut_centralizer_order': 240000, 'aut_label': '100.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 240000, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['20.a1', '50.a1', '50.c1', '50.f1'], 'contains': ['200.b1', '500.a1'], 'core': '100.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [6326, 7937, 6073, 2716], 'generators': [100, 200], 'label': '1000.136.100.b1', 'mobius_quo': 1, 'mobius_sub': 250, 'normal_closure': '100.b1', 'normal_contained_in': ['20.a1', '50.a1'], 'normal_contains': ['200.b1', '500.a1'], 'normalizer': '1.a1', 'old_label': '100.b1', 'projective_image': '500.51', 'quotient_action_image': '2.1', 'quotient_action_kernel': '50.4', 'quotient_action_kernel_order': 50, 'quotient_fusion': None, 'short_label': '100.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 69368319
{'ambient': '1000.136', 'aut_centralizer_order': 10000, 'aut_label': '100.c1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.1', 'aut_weyl_index': 240000, 'centralizer': '4.a1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['20.a1', '20.c1', '50.d1'], 'contains': ['200.c1', '500.a1'], 'core': '500.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [3299, -1, 3257, -1], 'generators': [100, 202], 'label': '1000.136.100.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '100.c1', 'projective_image': '500.51', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 69368320
{'ambient': '1000.136', 'aut_centralizer_order': 160, 'aut_label': '100.d1', 'aut_quo_index': None, 'aut_stab_index': 300, 'aut_weyl_group': '20.3', 'aut_weyl_index': 48000, 'centralizer': '250.b1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['20.d1', '20.e1', '20.f1', '50.b1'], 'contains': ['200.a1', '500.b1'], 'core': '200.a1', 'coset_action_label': None, 'count': 300, 'diagramx': [2236, -1, 1864, -1], 'generators': [11, 2], 'label': '1000.136.100.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '25.a1', 'old_label': '100.d1', 'projective_image': '1000.136', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.d1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
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id: 69368321
{'ambient': '1000.136', 'aut_centralizer_order': 960, 'aut_label': '100.e1', 'aut_quo_index': None, 'aut_stab_index': 50, 'aut_weyl_group': '20.3', 'aut_weyl_index': 48000, 'centralizer': '250.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['20.d1', '50.c1'], 'contains': ['200.b1', '500.b1'], 'core': '200.b1', 'coset_action_label': None, 'count': 50, 'diagramx': [3782, -1, 3733, -1], 'generators': [11, 200], 'label': '1000.136.100.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '25.b1', 'old_label': '100.e1', 'projective_image': '1000.136', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.e1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
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id: 69368322
{'ambient': '1000.136', 'aut_centralizer_order': 10, 'aut_label': '2.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 10, 'centralizer': '100.b1', 'complements': ['500.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '10.b1', '10.g1'], 'core': '2.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [7154, 2063, 6437, 8463], 'generators': [1, 100, 2, 200, 40], 'label': '1000.136.2.c1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '10.b1'], 'normalizer': '1.a1', 'old_label': '2.c1', 'projective_image': '500.51', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.c1', 'subgroup_fusion': None, 'weyl_group': '100.15'}
-
id: 69368323
{'ambient': '1000.136', 'aut_centralizer_order': 40, 'aut_label': '100.f1', 'aut_quo_index': None, 'aut_stab_index': 1200, 'aut_weyl_group': '20.3', 'aut_weyl_index': 48000, 'centralizer': '500.a1', 'complements': None, 'conjugacy_class_count': 24, 'contained_in': ['20.d1', '20.e1', '50.d1'], 'contains': ['200.c1', '500.b1'], 'core': '1000.a1', 'coset_action_label': None, 'count': 1200, 'diagramx': [755, -1, 2781, -1], 'generators': [11, 202], 'label': '1000.136.100.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.d1', 'old_label': '100.f1', 'projective_image': '1000.136', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.f1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
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id: 69368324
{'ambient': '1000.136', 'aut_centralizer_order': 1920, 'aut_label': '125.a1', 'aut_quo_index': None, 'aut_stab_index': 125, 'aut_weyl_group': '4.2', 'aut_weyl_index': 240000, 'centralizer': '125.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['25.a1', '25.b1'], 'contains': ['250.a1', '250.b1', '250.c1'], 'core': '500.a1', 'coset_action_label': None, 'count': 125, 'diagramx': [7715, -1, 8610, -1], 'generators': [1, 50], 'label': '1000.136.125.a1', 'mobius_quo': None, 'mobius_sub': -5, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '125.a1', 'old_label': '125.a1', 'projective_image': '500.51', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '125.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 69368325
{'ambient': '1000.136', 'aut_centralizer_order': 40000, 'aut_label': '200.a1', 'aut_quo_index': 2, 'aut_stab_index': 6, 'aut_weyl_group': '4.1', 'aut_weyl_index': 240000, 'centralizer': '2.b1', 'complements': ['5.b1'], 'conjugacy_class_count': 6, 'contained_in': ['40.a1', '40.b1', '40.c1', '100.a1', '100.d1'], 'contains': ['1000.a1'], 'core': '200.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [1499, 4632, 2096, 5686], 'generators': [2], 'label': '1000.136.200.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '200.a1', 'normal_contained_in': ['40.a1', '40.b1', '100.a1'], 'normal_contains': ['1000.a1'], 'normalizer': '1.a1', 'old_label': '200.a1', 'projective_image': '1000.136', 'quotient_action_image': '2.1', 'quotient_action_kernel': '100.6', 'quotient_action_kernel_order': 100, 'quotient_fusion': None, 'short_label': '200.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 69368326
{'ambient': '1000.136', 'aut_centralizer_order': 240000, 'aut_label': '200.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 240000, 'centralizer': '2.c1', 'complements': ['5.a1'], 'conjugacy_class_count': 1, 'contained_in': ['40.a1', '100.b1', '100.e1'], 'contains': ['1000.a1'], 'core': '200.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3256, 6756, 3710, 3170], 'generators': [200], 'label': '1000.136.200.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '200.b1', 'normal_contained_in': ['40.a1', '100.b1'], 'normal_contains': ['1000.a1'], 'normalizer': '1.a1', 'old_label': '200.b1', 'projective_image': '1000.136', 'quotient_action_image': '2.1', 'quotient_action_kernel': '100.7', 'quotient_action_kernel_order': 100, 'quotient_fusion': None, 'short_label': '200.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 69368327
{'ambient': '1000.136', 'aut_centralizer_order': 10000, 'aut_label': '200.c1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.1', 'aut_weyl_index': 240000, 'centralizer': '4.a1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['40.a1', '40.c1', '100.c1', '100.f1'], 'contains': ['1000.a1'], 'core': '1000.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [677, -1, 2781, -1], 'generators': [202], 'label': '1000.136.200.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '200.c1', 'projective_image': '1000.136', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 69368328
{'ambient': '1000.136', 'aut_centralizer_order': 3840, 'aut_label': '250.a1', 'aut_quo_index': None, 'aut_stab_index': 125, 'aut_weyl_group': '2.1', 'aut_weyl_index': 480000, 'centralizer': '125.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['50.b1', '50.c1', '50.d1', '125.a1'], 'contains': ['500.a1', '500.b1'], 'core': '500.a1', 'coset_action_label': None, 'count': 125, 'diagramx': [4960, -1, 5323, -1], 'generators': [11, 100], 'label': '1000.136.250.a1', 'mobius_quo': None, 'mobius_sub': 5, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '125.a1', 'old_label': '250.a1', 'projective_image': '500.51', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '250.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 69368329
{'ambient': '1000.136', 'aut_centralizer_order': 96000, 'aut_label': '250.b1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '2.1', 'aut_weyl_index': 480000, 'centralizer': '5.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['50.a1', '50.e1', '125.a1'], 'contains': ['500.a1'], 'core': '500.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [6960, -1, 6901, -1], 'generators': [50], 'label': '1000.136.250.b1', 'mobius_quo': None, 'mobius_sub': 125, 'normal_closure': '50.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '250.b1', 'projective_image': '500.51', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '250.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 69368330
{'ambient': '1000.136', 'aut_centralizer_order': 19200, 'aut_label': '250.c1', 'aut_quo_index': None, 'aut_stab_index': 25, 'aut_weyl_group': '2.1', 'aut_weyl_index': 480000, 'centralizer': '25.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['50.f1', '50.g1', '125.a1'], 'contains': ['500.a1'], 'core': '500.a1', 'coset_action_label': None, 'count': 25, 'diagramx': [8042, -1, 7997, -1], 'generators': [1], 'label': '1000.136.250.c1', 'mobius_quo': None, 'mobius_sub': 25, 'normal_closure': '10.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '25.b1', 'old_label': '250.c1', 'projective_image': '500.51', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '250.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 69368331
{'ambient': '1000.136', 'aut_centralizer_order': 960000, 'aut_label': '500.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 960000, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['100.a1', '100.b1', '100.c1', '250.a1', '250.b1', '250.c1'], 'contains': ['1000.a1'], 'core': '500.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5390, 5728, 5323, 4428], 'generators': [100], 'label': '1000.136.500.a1', 'mobius_quo': -1, 'mobius_sub': -1250, 'normal_closure': '500.a1', 'normal_contained_in': ['100.a1', '100.b1'], 'normal_contains': ['1000.a1'], 'normalizer': '1.a1', 'old_label': '500.a1', 'projective_image': '500.51', 'quotient_action_image': '1.1', 'quotient_action_kernel': '500.51', 'quotient_action_kernel_order': 500, 'quotient_fusion': None, 'short_label': '500.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 69368332
{'ambient': '1000.136', 'aut_centralizer_order': 3840, 'aut_label': '500.b1', 'aut_quo_index': None, 'aut_stab_index': 250, 'aut_weyl_group': '1.1', 'aut_weyl_index': 960000, 'centralizer': '125.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['100.d1', '100.e1', '100.f1', '250.a1'], 'contains': ['1000.a1'], 'core': '1000.a1', 'coset_action_label': None, 'count': 250, 'diagramx': [2465, -1, 3257, -1], 'generators': [11], 'label': '1000.136.500.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '125.a1', 'old_label': '500.b1', 'projective_image': '1000.136', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '500.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 69368333
{'ambient': '1000.136', 'aut_centralizer_order': 500, 'aut_label': '4.a1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '1920.240616', 'aut_weyl_index': 500, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '2.b1', '2.c1'], 'contains': ['8.a1', '20.a1', '20.b1', '20.c1'], 'core': '4.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4127, 6481, 3209, 6349], 'generators': [100, 40, 200, 2], 'label': '1000.136.4.a1', 'mobius_quo': 5, 'mobius_sub': 2, 'normal_closure': '4.a1', 'normal_contained_in': ['2.a1', '2.b1', '2.c1'], 'normal_contains': ['8.a1', '20.a1', '20.b1'], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': '500.51', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 69368334
{'ambient': '1000.136', 'aut_centralizer_order': None, 'aut_label': '1000.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': ['200.a1', '200.b1', '200.c1', '500.a1', '500.b1'], 'contains': [], 'core': '1000.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2465, 5728, 3257, 4428], 'generators': [], 'label': '1000.136.1000.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '1000.a1', 'normal_contained_in': ['200.a1', '200.b1', '500.a1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1000.a1', 'projective_image': '1000.136', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1000.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 69368335
{'ambient': '1000.136', 'aut_centralizer_order': 2, 'aut_label': '4.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '500.a1', 'complements': ['250.b1', '250.c1'], 'conjugacy_class_count': 2, 'contained_in': ['2.a1'], 'contains': ['8.a1', '20.d1', '20.e1', '20.f1'], 'core': '4.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [1487, 3930, 333, 3747], 'generators': [11, 40, 200, 2], 'label': '1000.136.4.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['8.a1'], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': '1000.136', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.b1', 'subgroup_fusion': None, 'weyl_group': '500.51'}
-
id: 69368336
{'ambient': '1000.136', 'aut_centralizer_order': 4, 'aut_label': '5.a1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '48000.bi', 'aut_weyl_index': 20, 'centralizer': '250.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['10.b1', '10.e1', '10.f1', '25.a1'], 'core': '10.b1', 'coset_action_label': None, 'count': 5, 'diagramx': [6453, -1, 5365, -1], 'generators': [1, 100, 2, 50, 40], 'label': '1000.136.5.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '5.a1', 'projective_image': '500.51', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5.a1', 'subgroup_fusion': None, 'weyl_group': '50.4'}
-
id: 69368337
{'ambient': '1000.136', 'aut_centralizer_order': 20, 'aut_label': '5.b1', 'aut_quo_index': None, 'aut_stab_index': 30, 'aut_weyl_group': '1600.10262', 'aut_weyl_index': 600, 'centralizer': '500.a1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['1.a1'], 'contains': ['10.a1', '10.c1', '10.g1', '25.a1', '25.b1'], 'core': '10.a1', 'coset_action_label': None, 'count': 30, 'diagramx': [8586, -1, 7705, -1], 'generators': [1, 100, 2, 50, 200], 'label': '1000.136.5.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.b1', 'old_label': '5.b1', 'projective_image': '500.51', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5.b1', 'subgroup_fusion': None, 'weyl_group': '100.13'}
-
id: 69368338
{'ambient': '1000.136', 'aut_centralizer_order': 500, 'aut_label': '8.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '1920.240616', 'aut_weyl_index': 500, 'centralizer': '4.a1', 'complements': ['125.a1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '4.b1'], 'contains': ['40.a1', '40.b1', '40.c1'], 'core': '8.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1124, 4684, 738, 5686], 'generators': [2, 200, 40], 'label': '1000.136.8.a1', 'mobius_quo': -5, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': ['4.a1', '4.b1'], 'normal_contains': ['40.a1', '40.b1'], 'normalizer': '1.a1', 'old_label': '8.a1', 'projective_image': '1000.136', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}