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{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '5.1', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 110, 'aut_gen_orders': [110, 110, 11, 11], 'aut_gens': [[44917258509383164, 29956620754688968, 8899890620707361, 3495268664684115, 32182222080390795], [10151438142779593, 27649719938416142, 31578362090783129, 42759185034224682, 43716293969460027], [16932862425797547, 2698138864710736, 31401698809275988, 31290843567323870, 9680128578394637], [3319690272956367, 4619623504725323, 29888408071670880, 41123539745615659, 32182222080390795], [34328988855896839, 6886680673913069, 14365058013994401, 20528747471599374, 32182222080390795]], 'aut_group': '133100.be', 'aut_hash': 6501023867853927099, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 133100, 'aut_permdeg': 1331, 'aut_perms': 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'aut_phi_ratio': 2.5, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [5, 1331, 1, 4], [11, 1, 10, 1], [11, 55, 2, 2], [11, 55, 10, 2], [11, 605, 2, 1], [11, 605, 20, 1], [55, 1331, 10, 4]], 'aut_supersolvable': True, 'aut_tex': '\\He_{11}:C_{10}^2', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 1, 'autcent_group': '1.1', 'autcent_hash': 1, 'autcent_nilpotent': True, 'autcent_order': 1, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_1', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 110, 'autcentquo_group': '133100.be', 'autcentquo_hash': 6501023867853927099, 'autcentquo_nilpotent': False, 'autcentquo_order': 133100, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': '\\He_{11}:C_{10}^2', 'cc_stats': [[1, 1, 1], [5, 1331, 4], [11, 1, 10], [11, 55, 24], [11, 605, 22], [55, 1331, 40]], 'center_label': '11.1', 'center_order': 11, 'central_product': False, 'central_quotient': '6655.24', 'commutator_count': 2, 'commutator_label': '14641.7', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['5.1', '11.1', '11.1', '11.1', '11.1'], 'composition_length': 5, 'conjugacy_classes_known': True, 'counter': 10, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [5, 1331, 4, 1], [11, 1, 10, 1], [11, 55, 2, 2], [11, 55, 10, 2], [11, 605, 2, 1], [11, 605, 10, 2], [55, 1331, 40, 1]], 'element_repr_type': 'GLFp', 'elementary': 1, 'eulerian_function': 31944, 'exponent': 55, 'exponents_of_order': [4, 1], 'factors_of_aut_order': [2, 5, 11], 'factors_of_order': [5, 11], 'faithful_reps': [[11, 0, 50], [55, 0, 20]], 'familial': False, 'frattini_label': '121.2', 'frattini_quotient': '605.5', 'hash': 741975403978328629, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 55, 'inner_gen_orders': [11, 5, 11, 11, 1], 'inner_gens': [[44917258509383164, 33641294703822401, 31401698809275988, 45475701370990672, 32182222080390795], [30200734269352730, 29956620754688968, 27320603659706683, 22552145374997471, 32182222080390795], [22415450106454457, 10220000685155103, 8899890620707361, 11454077680711609, 32182222080390795], [43801114546955362, 7443196957388175, 12854905685117671, 3495268664684115, 32182222080390795], [44917258509383164, 29956620754688968, 8899890620707361, 3495268664684115, 32182222080390795]], 'inner_hash': 24, 'inner_nilpotent': False, 'inner_order': 6655, 'inner_split': True, 'inner_tex': '\\He_{11}:C_5', 'inner_used': [1, 2, 4], 'irrC_degree': 11, 'irrQ_degree': 110, 'irrQ_dim': 110, 'irrR_degree': 22, 'irrep_stats': [[1, 5], [5, 24], [11, 50], [55, 22]], 'label': '73205.j', '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': False, 'metacyclic': False, 'monomial': True, 'name': 'C11^3:(C11:C5)', 'ngens': 5, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 16, 'number_characteristic_subgroups': 7, 'number_conjugacy_classes': 101, 'number_divisions': 11, 'number_normal_subgroups': 7, 'number_subgroup_autclasses': 31, 'number_subgroup_classes': 34, 'number_subgroups': 5154, 'old_label': None, 'order': 73205, 'order_factorization_type': 31, 'order_stats': [[1, 1], [5, 5324], [11, 14640], [55, 53240]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 10, 'outer_gen_orders': [2, 10], 'outer_gen_pows': [36602407610888195, 4177274107001304], 'outer_gens': [[24593815881024739, 35414817635196604, 18581556703706203, 36238987361685175, 26717028983541189], [23619527156816885, 7912866432061350, 13584560465929342, 14913130273786278, 15182957094471957]], 'outer_group': '20.5', 'outer_hash': 5, 'outer_nilpotent': True, 'outer_order': 20, 'outer_permdeg': 9, 'outer_perms': [720, 40353], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2\\times C_{10}', 'pc_rank': 5, 'perfect': False, 'permutation_degree': 121, 'pgroup': 0, 'primary_abelian_invariants': [5], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 1], [4, 1], [10, 2], [50, 2], [110, 2], [440, 1], [550, 2]], 'representations': {'PC': {'code': '31001119675467092033270877476939999', 'gens': [1, 2, 3, 4, 5], 'pres': [5, -5, -11, -11, -11, -11, 66550, 496851, 107252, 121777, 435603, 242008]}, 'GLFp': {'d': 4, 'p': 11, 'gens': [44917258509383164, 29956620754688968, 8899890620707361, 3495268664684115, 32182222080390795]}, 'Perm': {'d': 121, 'gens': [7199271689831842907389173142393361029534759117694715876438796969743450164120820044221924208440489248321220524848136465584890525455251278728723403655363429883546129009169745563209905380277352027360697, 13938903035851798709956035475178159487586866253678992456949982858224565883065935362865395884813503774619877216816681266329114587625882195898759058862810172293738244313541214507114315760409474001342303, 20690245696370869630669568089575952214184474722392700918174984018514606425401375355132593327629693608872858244580508611096883392439669394865617284180235108568218232430057149257411945156777318106676273, 27435966926270726006541039490169602307934595553884054610056350198906048293601035892473708695666127401391565096824099040874226595256873442866570971907376949304292911780983541713204480838485010531578504, 34181688155005911941860220490615346978413497375573233900705006034206711468574512563349594596988760251700401094373867826040426955625198405667390246870873667811883529665674983747425955331016762545481347]}}, 'schur_multiplier': [], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [5], 'solvability_type': 10, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{11}^3:(C_{11}:C_5)', 'transitive_degree': 121, 'wreath_data': None, 'wreath_product': False}
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gps_conj_classes • Show schema
Hide schema
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id: 110890895
{'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 10, 'group_order': 73205, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 4177274107001304, 'size': 1}
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id: 110890908
{'aut_label': '5A1', 'centralizer': '1331.a1.a1', 'counter': 2, 'group_counter': 10, 'group_order': 73205, 'label': '5A1', 'order': 5, 'powers': [4, 1, 2], 'representative': 44160048704994297, 'size': 1331}
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id: 110890919
{'aut_label': '5A-1', 'centralizer': '1331.a1.a1', 'counter': 3, 'group_counter': 10, 'group_order': 73205, 'label': '5A-1', 'order': 5, 'powers': [5, 1, 3], 'representative': 20858956075118746, 'size': 1331}
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id: 110890930
{'aut_label': '5A2', 'centralizer': '1331.a1.a1', 'counter': 4, 'group_counter': 10, 'group_order': 73205, 'label': '5A2', 'order': 5, 'powers': [3, 1, 4], 'representative': 4008292319606684, 'size': 1331}
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id: 110890941
{'aut_label': '5A-2', 'centralizer': '1331.a1.a1', 'counter': 5, 'group_counter': 10, 'group_order': 73205, 'label': '5A-2', 'order': 5, 'powers': [2, 1, 5], 'representative': 32027508075721290, 'size': 1331}
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id: 110890952
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 6, 'group_counter': 10, 'group_order': 73205, 'label': '11A1', 'order': 11, 'powers': [8, 14, 1], 'representative': 20268372296213413, 'size': 1}
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id: 110890963
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 7, 'group_counter': 10, 'group_order': 73205, 'label': '11A-1', 'order': 11, 'powers': [9, 15, 1], 'representative': 38630878767718571, 'size': 1}
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id: 110890974
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 8, 'group_counter': 10, 'group_order': 73205, 'label': '11A2', 'order': 11, 'powers': [12, 7, 1], 'representative': 32182222080390795, 'size': 1}
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id: 110890985
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 9, 'group_counter': 10, 'group_order': 73205, 'label': '11A-2', 'order': 11, 'powers': [13, 6, 1], 'representative': 26717028983541189, 'size': 1}
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id: 110890896
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 10, 'group_counter': 10, 'group_order': 73205, 'label': '11A3', 'order': 11, 'powers': [15, 12, 1], 'representative': 43716293969460027, 'size': 1}
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id: 110890899
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 11, 'group_counter': 10, 'group_order': 73205, 'label': '11A-3', 'order': 11, 'powers': [14, 13, 1], 'representative': 15182957094471957, 'size': 1}
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id: 110890900
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 12, 'group_counter': 10, 'group_order': 73205, 'label': '11A4', 'order': 11, 'powers': [11, 9, 1], 'representative': 9680128578394637, 'size': 1}
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id: 110890901
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 13, 'group_counter': 10, 'group_order': 73205, 'label': '11A-4', 'order': 11, 'powers': [10, 8, 1], 'representative': 3269107308523003, 'size': 1}
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id: 110890902
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 14, 'group_counter': 10, 'group_order': 73205, 'label': '11A5', 'order': 11, 'powers': [7, 10, 1], 'representative': 21593952641279202, 'size': 1}
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id: 110890903
{'aut_label': '11A1', 'centralizer': '1.a1.a1', 'counter': 15, 'group_counter': 10, 'group_order': 73205, 'label': '11A-5', 'order': 11, 'powers': [6, 11, 1], 'representative': 37305298422652782, 'size': 1}
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id: 110890904
{'aut_label': '11B1', 'centralizer': '55.a1.a1', 'counter': 16, 'group_counter': 10, 'group_order': 73205, 'label': '11B1', 'order': 11, 'powers': [17, 16, 1], 'representative': 7993603029052730, 'size': 55}
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id: 110890905
{'aut_label': '11B1', 'centralizer': '55.a1.a1', 'counter': 17, 'group_counter': 10, 'group_order': 73205, 'label': '11B-1', 'order': 11, 'powers': [16, 17, 1], 'representative': 7598161050057403, 'size': 55}
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id: 110890906
{'aut_label': '11C1', 'centralizer': '55.a1.a1', 'counter': 18, 'group_counter': 10, 'group_order': 73205, 'label': '11C1', 'order': 11, 'powers': [19, 18, 1], 'representative': 10830769315527128, 'size': 55}
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id: 110890907
{'aut_label': '11C1', 'centralizer': '55.a1.a1', 'counter': 19, 'group_counter': 10, 'group_order': 73205, 'label': '11C-1', 'order': 11, 'powers': [18, 19, 1], 'representative': 8529461884174561, 'size': 55}
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id: 110890909
{'aut_label': '11D1', 'centralizer': '55.a1.a1', 'counter': 20, 'group_counter': 10, 'group_order': 73205, 'label': '11D1', 'order': 11, 'powers': [22, 28, 1], 'representative': 8527162885169148, 'size': 55}
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id: 110890910
{'aut_label': '11D1', 'centralizer': '55.a1.a1', 'counter': 21, 'group_counter': 10, 'group_order': 73205, 'label': '11D-1', 'order': 11, 'powers': [23, 29, 1], 'representative': 207137734724604, 'size': 55}
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id: 110890911
{'aut_label': '11D1', 'centralizer': '55.a1.a1', 'counter': 22, 'group_counter': 10, 'group_order': 73205, 'label': '11D2', 'order': 11, 'powers': [26, 21, 1], 'representative': 12877051665108564, 'size': 55}
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id: 110890912
{'aut_label': '11D1', 'centralizer': '55.a1.a1', 'counter': 23, 'group_counter': 10, 'group_order': 73205, 'label': '11D-2', 'order': 11, 'powers': [27, 20, 1], 'representative': 41807264131799532, 'size': 55}
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id: 110890913
{'aut_label': '11D1', 'centralizer': '55.a1.a1', 'counter': 24, 'group_counter': 10, 'group_order': 73205, 'label': '11D3', 'order': 11, 'powers': [29, 26, 1], 'representative': 16847188251745476, 'size': 55}
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id: 110890914
{'aut_label': '11D1', 'centralizer': '55.a1.a1', 'counter': 25, 'group_counter': 10, 'group_order': 73205, 'label': '11D-3', 'order': 11, 'powers': [28, 27, 1], 'representative': 37837127545162620, 'size': 55}
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id: 110890915
{'aut_label': '11D1', 'centralizer': '55.a1.a1', 'counter': 26, 'group_counter': 10, 'group_order': 73205, 'label': '11D4', 'order': 11, 'powers': [25, 23, 1], 'representative': 21197077029913320, 'size': 55}
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id: 110890916
{'aut_label': '11D1', 'centralizer': '55.a1.a1', 'counter': 27, 'group_counter': 10, 'group_order': 73205, 'label': '11D-4', 'order': 11, 'powers': [24, 22, 1], 'representative': 33487238766994776, 'size': 55}
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id: 110890917
{'aut_label': '11D1', 'centralizer': '55.a1.a1', 'counter': 28, 'group_counter': 10, 'group_order': 73205, 'label': '11D5', 'order': 11, 'powers': [21, 24, 1], 'representative': 25167213616550232, 'size': 55}
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id: 110890918
{'aut_label': '11D1', 'centralizer': '55.a1.a1', 'counter': 29, 'group_counter': 10, 'group_order': 73205, 'label': '11D-5', 'order': 11, 'powers': [20, 25, 1], 'representative': 29517102180357864, 'size': 55}
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id: 110890920
{'aut_label': '11E1', 'centralizer': '55.a1.a1', 'counter': 30, 'group_counter': 10, 'group_order': 73205, 'label': '11E1', 'order': 11, 'powers': [32, 38, 1], 'representative': 7996470293456976, 'size': 55}
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id: 110890921
{'aut_label': '11E1', 'centralizer': '55.a1.a1', 'counter': 31, 'group_counter': 10, 'group_order': 73205, 'label': '11E-1', 'order': 11, 'powers': [33, 39, 1], 'representative': 5727089473992261, 'size': 55}
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id: 110890922
{'aut_label': '11E1', 'centralizer': '55.a1.a1', 'counter': 32, 'group_counter': 10, 'group_order': 73205, 'label': '11E2', 'order': 11, 'powers': [36, 31, 1], 'representative': 6483747801763530, 'size': 55}
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id: 110890923
{'aut_label': '11E1', 'centralizer': '55.a1.a1', 'counter': 33, 'group_counter': 10, 'group_order': 73205, 'label': '11E-2', 'order': 11, 'powers': [37, 30, 1], 'representative': 6844667068614926, 'size': 55}
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id: 110890924
{'aut_label': '11E1', 'centralizer': '55.a1.a1', 'counter': 34, 'group_counter': 10, 'group_order': 73205, 'label': '11E3', 'order': 11, 'powers': [39, 36, 1], 'representative': 7239540782211420, 'size': 55}
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id: 110890925
{'aut_label': '11E1', 'centralizer': '55.a1.a1', 'counter': 35, 'group_counter': 10, 'group_order': 73205, 'label': '11E-3', 'order': 11, 'powers': [38, 37, 1], 'representative': 7240109047610253, 'size': 55}
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id: 110890926
{'aut_label': '11E1', 'centralizer': '55.a1.a1', 'counter': 36, 'group_counter': 10, 'group_order': 73205, 'label': '11E4', 'order': 11, 'powers': [35, 33, 1], 'representative': 4575286249150211, 'size': 55}
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id: 110890927
{'aut_label': '11E1', 'centralizer': '55.a1.a1', 'counter': 37, 'group_counter': 10, 'group_order': 73205, 'label': '11E-4', 'order': 11, 'powers': [34, 32, 1], 'representative': 5331647494996934, 'size': 55}
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id: 110890928
{'aut_label': '11E1', 'centralizer': '55.a1.a1', 'counter': 38, 'group_counter': 10, 'group_order': 73205, 'label': '11E5', 'order': 11, 'powers': [31, 34, 1], 'representative': 4971025329557255, 'size': 55}
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id: 110890929
{'aut_label': '11E1', 'centralizer': '55.a1.a1', 'counter': 39, 'group_counter': 10, 'group_order': 73205, 'label': '11E-5', 'order': 11, 'powers': [30, 35, 1], 'representative': 6844098803216093, 'size': 55}
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id: 110890931
{'aut_label': '11F1', 'centralizer': '605.c1.a1', 'counter': 40, 'group_counter': 10, 'group_order': 73205, 'label': '11F1', 'order': 11, 'powers': [41, 40, 1], 'representative': 30845568667395697, 'size': 605}
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id: 110890932
{'aut_label': '11F1', 'centralizer': '605.c1.a1', 'counter': 41, 'group_counter': 10, 'group_order': 73205, 'label': '11F-1', 'order': 11, 'powers': [40, 41, 1], 'representative': 28053682396536287, 'size': 605}
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id: 110890933
{'aut_label': '11G1', 'centralizer': '605.d1.a1', 'counter': 42, 'group_counter': 10, 'group_order': 73205, 'label': '11G1', 'order': 11, 'powers': [44, 50, 1], 'representative': 316984437632699, 'size': 605}
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id: 110890934
{'aut_label': '11G1', 'centralizer': '605.d1.a1', 'counter': 43, 'group_counter': 10, 'group_order': 73205, 'label': '11G-1', 'order': 11, 'powers': [45, 51, 1], 'representative': 4481777567237597, 'size': 605}
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id: 110890935
{'aut_label': '11G1', 'centralizer': '605.d1.a1', 'counter': 44, 'group_counter': 10, 'group_order': 73205, 'label': '11G2', 'order': 11, 'powers': [48, 43, 1], 'representative': 14232339511918798, 'size': 605}
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id: 110890936
{'aut_label': '11G1', 'centralizer': '605.d1.a1', 'counter': 45, 'group_counter': 10, 'group_order': 73205, 'label': '11G-2', 'order': 11, 'powers': [49, 42, 1], 'representative': 28026782150924714, 'size': 605}
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id: 110890937
{'aut_label': '11G1', 'centralizer': '605.d1.a1', 'counter': 46, 'group_counter': 10, 'group_order': 73205, 'label': '11G3', 'order': 11, 'powers': [51, 48, 1], 'representative': 18706165643718069, 'size': 605}
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id: 110890938
{'aut_label': '11G1', 'centralizer': '605.d1.a1', 'counter': 47, 'group_counter': 10, 'group_order': 73205, 'label': '11G-3', 'order': 11, 'powers': [50, 49, 1], 'representative': 2563277386107343, 'size': 605}
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id: 110890939
{'aut_label': '11G1', 'centralizer': '605.d1.a1', 'counter': 48, 'group_counter': 10, 'group_order': 73205, 'label': '11G4', 'order': 11, 'powers': [47, 45, 1], 'representative': 36211999230701910, 'size': 605}
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id: 110890940
{'aut_label': '11G1', 'centralizer': '605.d1.a1', 'counter': 49, 'group_counter': 10, 'group_order': 73205, 'label': '11G-4', 'order': 11, 'powers': [46, 44, 1], 'representative': 1697573200211974, 'size': 605}
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id: 110890942
{'aut_label': '11G1', 'centralizer': '605.d1.a1', 'counter': 50, 'group_counter': 10, 'group_order': 73205, 'label': '11G5', 'order': 11, 'powers': [43, 46, 1], 'representative': 38745229055672492, 'size': 605}
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id: 110890943
{'aut_label': '11G1', 'centralizer': '605.d1.a1', 'counter': 51, 'group_counter': 10, 'group_order': 73205, 'label': '11G-5', 'order': 11, 'powers': [42, 47, 1], 'representative': 7484262846757970, 'size': 605}
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id: 110890944
{'aut_label': '11G1', 'centralizer': '605.d1.b1', 'counter': 52, 'group_counter': 10, 'group_order': 73205, 'label': '11H1', 'order': 11, 'powers': [54, 60, 1], 'representative': 27050558389603727, 'size': 605}
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id: 110890945
{'aut_label': '11G1', 'centralizer': '605.d1.b1', 'counter': 53, 'group_counter': 10, 'group_order': 73205, 'label': '11H-1', 'order': 11, 'powers': [55, 61, 1], 'representative': 2538806664557664, 'size': 605}
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id: 110890946
{'aut_label': '11G1', 'centralizer': '605.d1.b1', 'counter': 54, 'group_counter': 10, 'group_order': 73205, 'label': '11H2', 'order': 11, 'powers': [58, 53, 1], 'representative': 32493281631450299, 'size': 605}
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id: 110890947
{'aut_label': '11G1', 'centralizer': '605.d1.b1', 'counter': 55, 'group_counter': 10, 'group_order': 73205, 'label': '11H-2', 'order': 11, 'powers': [59, 52, 1], 'representative': 1446203515369785, 'size': 605}
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id: 110890948
{'aut_label': '11G1', 'centralizer': '605.d1.b1', 'counter': 56, 'group_counter': 10, 'group_order': 73205, 'label': '11H3', 'order': 11, 'powers': [61, 58, 1], 'representative': 32073729073317490, 'size': 605}
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id: 110890949
{'aut_label': '11G1', 'centralizer': '605.d1.b1', 'counter': 57, 'group_counter': 10, 'group_order': 73205, 'label': '11H-3', 'order': 11, 'powers': [60, 59, 1], 'representative': 39460755867665513, 'size': 605}
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id: 110890950
{'aut_label': '11G1', 'centralizer': '605.d1.b1', 'counter': 58, 'group_counter': 10, 'group_order': 73205, 'label': '11H4', 'order': 11, 'powers': [57, 55, 1], 'representative': 37702949923458448, 'size': 605}
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id: 110890951
{'aut_label': '11G1', 'centralizer': '605.d1.b1', 'counter': 59, 'group_counter': 10, 'group_order': 73205, 'label': '11H-4', 'order': 11, 'powers': [56, 54, 1], 'representative': 8699131141431234, 'size': 605}
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id: 110890953
{'aut_label': '11G1', 'centralizer': '605.d1.b1', 'counter': 60, 'group_counter': 10, 'group_order': 73205, 'label': '11H5', 'order': 11, 'powers': [53, 56, 1], 'representative': 23702335334902145, 'size': 605}
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id: 110890954
{'aut_label': '11G1', 'centralizer': '605.d1.b1', 'counter': 61, 'group_counter': 10, 'group_order': 73205, 'label': '11H-5', 'order': 11, 'powers': [52, 57, 1], 'representative': 39167003013123639, 'size': 605}
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id: 110890955
{'aut_label': '55A1', 'centralizer': '1331.a1.a1', 'counter': 62, 'group_counter': 10, 'group_order': 73205, 'label': '55A1', 'order': 55, 'powers': [64, 6, 2], 'representative': 33568666772981989, 'size': 1331}
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id: 110890956
{'aut_label': '55A-1', 'centralizer': '1331.a1.a1', 'counter': 63, 'group_counter': 10, 'group_order': 73205, 'label': '55A-1', 'order': 55, 'powers': [65, 7, 3], 'representative': 3479967192880217, 'size': 1331}
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id: 110890957
{'aut_label': '55A2', 'centralizer': '1331.a1.a1', 'counter': 64, 'group_counter': 10, 'group_order': 73205, 'label': '55A2', 'order': 55, 'powers': [68, 8, 4], 'representative': 27455956978150848, 'size': 1331}
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id: 110890958
{'aut_label': '55A-2', 'centralizer': '1331.a1.a1', 'counter': 65, 'group_counter': 10, 'group_order': 73205, 'label': '55A-2', 'order': 55, 'powers': [69, 9, 5], 'representative': 21436125931137645, 'size': 1331}
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id: 110890959
{'aut_label': '55A-2', 'centralizer': '1331.a1.a1', 'counter': 66, 'group_counter': 10, 'group_order': 73205, 'label': '55A3', 'order': 55, 'powers': [70, 10, 5], 'representative': 43938217073575602, 'size': 1331}
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id: 110890960
{'aut_label': '55A2', 'centralizer': '1331.a1.a1', 'counter': 67, 'group_counter': 10, 'group_order': 73205, 'label': '55A-3', 'order': 55, 'powers': [71, 11, 4], 'representative': 10456689632512758, 'size': 1331}
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id: 110890961
{'aut_label': '55A-1', 'centralizer': '1331.a1.a1', 'counter': 68, 'group_counter': 10, 'group_order': 73205, 'label': '55A4', 'order': 55, 'powers': [74, 12, 3], 'representative': 38804051572344451, 'size': 1331}
-
id: 110890962
{'aut_label': '55A1', 'centralizer': '1331.a1.a1', 'counter': 69, 'group_counter': 10, 'group_order': 73205, 'label': '55A-4', 'order': 55, 'powers': [75, 13, 2], 'representative': 32625974690051854, 'size': 1331}
-
id: 110890964
{'aut_label': '55A1', 'centralizer': '1331.a1.a1', 'counter': 70, 'group_counter': 10, 'group_order': 73205, 'label': '55A6', 'order': 55, 'powers': [78, 15, 2], 'representative': 39071492736401080, 'size': 1331}
-
id: 110890965
{'aut_label': '55A-1', 'centralizer': '1331.a1.a1', 'counter': 71, 'group_counter': 10, 'group_order': 73205, 'label': '55A-6', 'order': 55, 'powers': [79, 14, 3], 'representative': 9890962525312609, 'size': 1331}
-
id: 110890966
{'aut_label': '55A2', 'centralizer': '1331.a1.a1', 'counter': 72, 'group_counter': 10, 'group_order': 73205, 'label': '55A7', 'order': 55, 'powers': [82, 13, 4], 'representative': 44492857167165616, 'size': 1331}
-
id: 110890967
{'aut_label': '55A-2', 'centralizer': '1331.a1.a1', 'counter': 73, 'group_counter': 10, 'group_order': 73205, 'label': '55A-7', 'order': 55, 'powers': [83, 12, 5], 'representative': 3077043199840870, 'size': 1331}
-
id: 110890968
{'aut_label': '55A-2', 'centralizer': '1331.a1.a1', 'counter': 74, 'group_counter': 10, 'group_order': 73205, 'label': '55A8', 'order': 55, 'powers': [84, 11, 5], 'representative': 20493433848207510, 'size': 1331}
-
id: 110890969
{'aut_label': '55A2', 'centralizer': '1331.a1.a1', 'counter': 75, 'group_counter': 10, 'group_order': 73205, 'label': '55A-8', 'order': 55, 'powers': [85, 10, 4], 'representative': 39369778466955938, 'size': 1331}
-
id: 110890970
{'aut_label': '55A-1', 'centralizer': '1331.a1.a1', 'counter': 76, 'group_counter': 10, 'group_order': 73205, 'label': '55A9', 'order': 55, 'powers': [88, 9, 3], 'representative': 32393056025551847, 'size': 1331}
-
id: 110890971
{'aut_label': '55A1', 'centralizer': '1331.a1.a1', 'counter': 77, 'group_counter': 10, 'group_order': 73205, 'label': '55A-9', 'order': 55, 'powers': [89, 8, 2], 'representative': 27157956538021168, 'size': 1331}
-
id: 110890972
{'aut_label': '55A2', 'centralizer': '1331.a1.a1', 'counter': 78, 'group_counter': 10, 'group_order': 73205, 'label': '55A12', 'order': 55, 'powers': [96, 6, 4], 'representative': 15921856791952404, 'size': 1331}
-
id: 110890973
{'aut_label': '55A-2', 'centralizer': '1331.a1.a1', 'counter': 79, 'group_counter': 10, 'group_order': 73205, 'label': '55A-12', 'order': 55, 'powers': [97, 7, 5], 'representative': 26904429375511612, 'size': 1331}
-
id: 110890975
{'aut_label': '55A-2', 'centralizer': '1331.a1.a1', 'counter': 80, 'group_counter': 10, 'group_order': 73205, 'label': '55A13', 'order': 55, 'powers': [98, 8, 5], 'representative': 38438529345433215, 'size': 1331}
-
id: 110890976
{'aut_label': '55A2', 'centralizer': '1331.a1.a1', 'counter': 81, 'group_counter': 10, 'group_order': 73205, 'label': '55A-13', 'order': 55, 'powers': [99, 9, 4], 'representative': 22370513481037221, 'size': 1331}
-
id: 110890977
{'aut_label': '55A-1', 'centralizer': '1331.a1.a1', 'counter': 82, 'group_counter': 10, 'group_order': 73205, 'label': '55A14', 'order': 55, 'powers': [101, 10, 3], 'representative': 21804810165902512, 'size': 1331}
-
id: 110890978
{'aut_label': '55A1', 'centralizer': '1331.a1.a1', 'counter': 83, 'group_counter': 10, 'group_order': 73205, 'label': '55A-14', 'order': 55, 'powers': [100, 11, 2], 'representative': 21658266452078710, 'size': 1331}
-
id: 110890979
{'aut_label': '55A1', 'centralizer': '1331.a1.a1', 'counter': 84, 'group_counter': 10, 'group_order': 73205, 'label': '55A16', 'order': 55, 'powers': [95, 14, 2], 'representative': 3710034884262935, 'size': 1331}
-
id: 110890980
{'aut_label': '55A-1', 'centralizer': '1331.a1.a1', 'counter': 85, 'group_counter': 10, 'group_order': 73205, 'label': '55A-16', 'order': 55, 'powers': [94, 15, 3], 'representative': 27304500271333472, 'size': 1331}
-
id: 110890981
{'aut_label': '55A2', 'centralizer': '1331.a1.a1', 'counter': 86, 'group_counter': 10, 'group_order': 73205, 'label': '55A17', 'order': 55, 'powers': [93, 15, 4], 'representative': 32958783134523546, 'size': 1331}
-
id: 110890982
{'aut_label': '55A-2', 'centralizer': '1331.a1.a1', 'counter': 87, 'group_counter': 10, 'group_order': 73205, 'label': '55A-17', 'order': 55, 'powers': [92, 14, 5], 'representative': 4402621186796586, 'size': 1331}
-
id: 110890983
{'aut_label': '55A-2', 'centralizer': '1331.a1.a1', 'counter': 88, 'group_counter': 10, 'group_order': 73205, 'label': '55A18', 'order': 55, 'powers': [91, 13, 5], 'representative': 14990605314399950, 'size': 1331}
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id: 110890984
{'aut_label': '55A2', 'centralizer': '1331.a1.a1', 'counter': 89, 'group_counter': 10, 'group_order': 73205, 'label': '55A-18', 'order': 55, 'powers': [90, 12, 4], 'representative': 4954148787825312, 'size': 1331}
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id: 110890986
{'aut_label': '55A-1', 'centralizer': '1331.a1.a1', 'counter': 90, 'group_counter': 10, 'group_order': 73205, 'label': '55A19', 'order': 55, 'powers': [87, 11, 3], 'representative': 15393788681685428, 'size': 1331}
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id: 110890987
{'aut_label': '55A1', 'centralizer': '1331.a1.a1', 'counter': 91, 'group_counter': 10, 'group_order': 73205, 'label': '55A-19', 'order': 55, 'powers': [86, 10, 2], 'representative': 20746935053790653, 'size': 1331}
-
id: 110890988
{'aut_label': '55A1', 'centralizer': '1331.a1.a1', 'counter': 92, 'group_counter': 10, 'group_order': 73205, 'label': '55A21', 'order': 55, 'powers': [81, 7, 2], 'representative': 4655863037620890, 'size': 1331}
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id: 110890989
{'aut_label': '55A-1', 'centralizer': '1331.a1.a1', 'counter': 93, 'group_counter': 10, 'group_order': 73205, 'label': '55A-21', 'order': 55, 'powers': [80, 6, 3], 'representative': 33718634032142475, 'size': 1331}
-
id: 110890990
{'aut_label': '55A-2', 'centralizer': '1331.a1.a1', 'counter': 94, 'group_counter': 10, 'group_order': 73205, 'label': '55A23', 'order': 55, 'powers': [77, 6, 5], 'representative': 37492698814639067, 'size': 1331}
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id: 110890991
{'aut_label': '55A2', 'centralizer': '1331.a1.a1', 'counter': 95, 'group_counter': 10, 'group_order': 73205, 'label': '55A-23', 'order': 55, 'powers': [76, 7, 4], 'representative': 33866952524956762, 'size': 1331}
-
id: 110890992
{'aut_label': '55A-1', 'centralizer': '1331.a1.a1', 'counter': 96, 'group_counter': 10, 'group_order': 73205, 'label': '55A24', 'order': 55, 'powers': [73, 8, 3], 'representative': 4767884039461812, 'size': 1331}
-
id: 110890993
{'aut_label': '55A1', 'centralizer': '1331.a1.a1', 'counter': 97, 'group_counter': 10, 'group_order': 73205, 'label': '55A-24', 'order': 55, 'powers': [72, 9, 2], 'representative': 15244106539484905, 'size': 1331}
-
id: 110890994
{'aut_label': '55A1', 'centralizer': '1331.a1.a1', 'counter': 98, 'group_counter': 10, 'group_order': 73205, 'label': '55A26', 'order': 55, 'powers': [67, 12, 2], 'representative': 10124168839958399, 'size': 1331}
-
id: 110890995
{'aut_label': '55A-1', 'centralizer': '1331.a1.a1', 'counter': 99, 'group_counter': 10, 'group_order': 73205, 'label': '55A-26', 'order': 55, 'powers': [66, 13, 3], 'representative': 44306903667913311, 'size': 1331}
-
id: 110890897
{'aut_label': '55A2', 'centralizer': '1331.a1.a1', 'counter': 100, 'group_counter': 10, 'group_order': 73205, 'label': '55A27', 'order': 55, 'powers': [63, 14, 4], 'representative': 16867684964959791, 'size': 1331}
-
id: 110890898
{'aut_label': '55A-2', 'centralizer': '1331.a1.a1', 'counter': 101, 'group_counter': 10, 'group_order': 73205, 'label': '55A-27', 'order': 55, 'powers': [62, 15, 5], 'representative': 9522302084383533, 'size': 1331}
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gps_qchar • Show schema
Hide schema
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id: 4778380
{'cdim': 1, 'counter': 1, 'faithful': False, 'group': '73205.j', 'group_order': 73205, 'image': None, 'label': '73205.j.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], 'schur_index': 1}
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id: 4778383
{'cdim': 1, 'counter': 2, 'faithful': False, 'group': '73205.j', 'group_order': 73205, 'image': None, 'label': '73205.j.1b', 'multiplicity': 4, 'nt': [5, 1], 'qdim': 4, 'qvalues': [4, -1, -1, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
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id: 4778384
{'cdim': 5, 'counter': 3, 'faithful': False, 'group': '73205.j', 'group_order': 73205, 'image': None, 'label': '73205.j.5a', 'multiplicity': 2, 'nt': [11, 3], 'qdim': 10, 'qvalues': [10, 0, 0, 0, 0, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, -1, -1, -1, -1, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 10, -1, -1, 10, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4778385
{'cdim': 5, 'counter': 4, 'faithful': False, 'group': '73205.j', 'group_order': 73205, 'image': None, 'label': '73205.j.5b', 'multiplicity': 2, 'nt': [11, 3], 'qdim': 10, 'qvalues': [10, 0, 0, 0, 0, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 4778386
{'cdim': 5, 'counter': 5, 'faithful': False, 'group': '73205.j', 'group_order': 73205, 'image': None, 'label': '73205.j.5c', 'multiplicity': 10, 'nt': [55, 0], 'qdim': 50, 'qvalues': [50, 0, 0, 0, 0, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, -5, -5, -5, -5, 50, -5, -5, -5, -5, -5, -5, -5, -5, -5, 50, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, 6, 6, -5, -5, -5, -5, -5, -5, -5, -5, 6, 6, 6, 6, 6, -5, 6, 6, -5, 6, -5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 4778387
{'cdim': 5, 'counter': 6, 'faithful': False, 'group': '73205.j', 'group_order': 73205, 'image': None, 'label': '73205.j.5d', 'multiplicity': 10, 'nt': [55, 0], 'qdim': 50, 'qvalues': [50, 0, 0, 0, 0, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, -5, -5, -5, -5, 50, -5, -5, -5, -5, -5, -5, -5, -5, -5, 50, -5, -5, -5, -5, -5, -5, -5, -5, -5, 6, -5, -5, -5, 6, 6, -5, 6, 6, 6, 6, -5, -5, -5, -5, -5, 6, -5, -5, 6, -5, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4778388
{'cdim': 11, 'counter': 7, 'faithful': True, 'group': '73205.j', 'group_order': 73205, 'image': None, 'label': '73205.j.11a', 'multiplicity': 10, 'nt': [121, 0], 'qdim': 110, 'qvalues': [110, 10, 10, 10, 10, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, 11, -11, -11, -11, 0, 11, 11, 0, 11, 11, -11, -11, 11, -11, 0, 11, -11, -11, 0, -11, 11, 11, -11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 4778390
{'cdim': 55, 'counter': 9, 'faithful': False, 'group': '73205.j', 'group_order': 73205, 'image': None, 'label': '73205.j.55a', 'multiplicity': 2, 'nt': [121, 0], 'qdim': 110, 'qvalues': [110, 0, 0, 0, 0, 110, 110, 110, 110, 110, 110, 110, 110, 110, 110, 0, 0, 0, 0, -11, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 4778389
{'cdim': 11, 'counter': 8, 'faithful': True, 'group': '73205.j', 'group_order': 73205, 'image': None, 'label': '73205.j.11b', 'multiplicity': 40, 'nt': [605, 0], 'qdim': 440, 'qvalues': [440, -10, -10, -10, -10, -44, -44, -44, -44, -44, -44, -44, -44, -44, -44, 44, -44, -44, -44, 0, 44, 44, 0, 44, 44, -44, -44, 44, -44, 0, 44, -44, -44, 0, -44, 44, 44, -44, 44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
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id: 4778381
{'cdim': 55, 'counter': 10, 'faithful': True, 'group': '73205.j', 'group_order': 73205, 'image': None, 'label': '73205.j.55b', 'multiplicity': 10, 'nt': [605, 0], 'qdim': 550, 'qvalues': [550, 0, 0, 0, 0, -55, -55, -55, -55, -55, -55, -55, -55, -55, -55, -11, 0, 0, 0, 0, -11, -11, 55, -11, -11, 0, 0, -11, 0, 0, -11, 0, 0, 55, 0, -11, -11, 0, -11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
-
id: 4778382
{'cdim': 55, 'counter': 11, 'faithful': True, 'group': '73205.j', 'group_order': 73205, 'image': None, 'label': '73205.j.55c', 'multiplicity': 10, 'nt': [605, 0], 'qdim': 550, 'qvalues': [550, 0, 0, 0, 0, -55, -55, -55, -55, -55, -55, -55, -55, -55, -55, 0, 11, 11, 11, 0, 0, 0, -55, 0, 0, 11, 11, 0, 11, 0, 0, 11, 11, -55, 11, 0, 0, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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gps_char • Show schema
Hide schema
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id: 7797858
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 73205, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 73205, 'label': '73205.j.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]]]}
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id: 7797871
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 73205, 'counter': 2, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1.a1', 'kernel_order': 14641, 'label': '73205.j.1b1', 'nt': [5, 1], 'q_character': None, 'values': [[[1, 0]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]]]}
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id: 7797882
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 73205, 'counter': 3, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1.a1', 'kernel_order': 14641, 'label': '73205.j.1b2', 'nt': [5, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]]]}
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id: 7797893
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 73205, 'counter': 4, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1.a1', 'kernel_order': 14641, 'label': '73205.j.1b3', 'nt': [5, 1], 'q_character': None, 'values': [[[1, 0]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]]]}
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id: 7797904
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 73205, 'counter': 5, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1.a1', 'kernel_order': 14641, 'label': '73205.j.1b4', 'nt': [5, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]]]}
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id: 7797915
{'center': '55.b1.a1', 'center_index': 55, 'center_order': 1331, 'counter': 6, 'cyclotomic_n': 11, 'dim': 5, 'faithful': False, 'field': [3, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': '55.1', 'image_order': 55, 'indicator': 0, 'kernel': '55.b1.a1', 'kernel_order': 1331, 'label': '73205.j.5a1', 'nt': [11, 3], 'q_character': None, 'values': [[[5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-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]], [[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: 7797926
{'center': '55.b1.a1', 'center_index': 55, 'center_order': 1331, 'counter': 7, 'cyclotomic_n': 11, 'dim': 5, 'faithful': False, 'field': [3, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': '55.1', 'image_order': 55, 'indicator': 0, 'kernel': '55.b1.a1', 'kernel_order': 1331, 'label': '73205.j.5a2', 'nt': [11, 2], 'q_character': None, 'values': [[[5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [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]], [[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: 7797937
{'center': '55.a1.a1', 'center_index': 55, 'center_order': 1331, 'counter': 8, 'cyclotomic_n': 11, 'dim': 5, 'faithful': False, 'field': [3, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': '55.1', 'image_order': 55, 'indicator': 0, 'kernel': '55.a1.a1', 'kernel_order': 1331, 'label': '73205.j.5b1', 'nt': [11, 3], 'q_character': None, 'values': [[[5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-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]], [[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: 7797948
{'center': '55.a1.a1', 'center_index': 55, 'center_order': 1331, 'counter': 9, 'cyclotomic_n': 11, 'dim': 5, 'faithful': False, 'field': [3, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': '55.1', 'image_order': 55, 'indicator': 0, 'kernel': '55.a1.a1', 'kernel_order': 1331, 'label': '73205.j.5b2', 'nt': [11, 2], 'q_character': None, 'values': [[[5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [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]], [[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: 7797859
{'center': '605.a1.a1', 'center_index': 605, 'center_order': 121, 'counter': 10, 'cyclotomic_n': 11, 'dim': 5, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': '605.5', 'image_order': 605, 'indicator': 0, 'kernel': '605.a1.a1', 'kernel_order': 121, 'label': '73205.j.5c1', 'nt': [55, 0], 'q_character': None, 'values': [[[5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[2, 5], [1, -5], [1, -3], [1, -2]], [[1, 0], [1, 1], [2, -5], [1, -2]], [[1, 0], [1, 2], [2, 5], [1, -1]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 2], [1, 3], [1, 5], [2, -5]], [[1, 2], [1, 3], [2, -2], [1, -1]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [2, 3], [1, -4], [1, -3]], [[1, 1], [1, 5], [1, -4], [2, -1]], [[1, 4], [1, -5], [2, -4], [1, -2]], [[2, 1], [1, 4], [1, -5], [1, -1]], [[1, 0], [2, 2], [1, 3], [1, 4]], [[1, 0], [1, 4], [1, -2], [2, -1]], [[1, 0], [2, 4], [1, -5], [1, -3]], [[1, 0], [1, 3], [1, 5], [2, -4]], [[1, 0], [1, -4], [1, -3], [2, -2]], [[1, 3], [1, 4], [2, -3], [1, -1]], [[1, 0], [2, 1], [1, 2], [1, -4]], [[1, 0], [2, 3], [1, -5], [1, -1]], [[1, 1], [2, 2], [1, -3], [1, -2]], [[1, 0], [1, 1], [1, 5], [2, -3]], [[1, 2], [2, 4], [1, 5], [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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7797870
{'center': '605.a1.a1', 'center_index': 605, 'center_order': 121, 'counter': 19, 'cyclotomic_n': 11, 'dim': 5, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': '605.5', 'image_order': 605, 'indicator': 0, 'kernel': '605.a1.a1', 'kernel_order': 121, 'label': '73205.j.5c10', 'nt': [55, 10], 'q_character': None, 'values': [[[5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [2, 2], [1, -3], [1, -2]], [[1, 0], [1, -4], [1, -3], [2, -2]], [[1, 0], [2, 2], [1, 3], [1, 4]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 2], [1, 3], [2, -2], [1, -1]], [[1, 3], [1, 4], [2, -3], [1, -1]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 5], [1, -4], [2, -1]], [[1, 2], [2, 4], [1, 5], [1, -4]], [[2, 5], [1, -5], [1, -3], [1, -2]], [[1, 4], [1, -5], [2, -4], [1, -2]], [[1, 0], [2, 3], [1, -5], [1, -1]], [[1, 0], [2, 4], [1, -5], [1, -3]], [[1, 0], [1, 1], [2, -5], [1, -2]], [[1, 0], [1, 2], [2, 5], [1, -1]], [[1, 0], [1, 1], [1, 5], [2, -3]], [[2, 1], [1, 4], [1, -5], [1, -1]], [[1, 0], [1, 3], [1, 5], [2, -4]], [[1, 0], [1, 4], [1, -2], [2, -1]], [[1, 1], [2, 3], [1, -4], [1, -3]], [[1, 0], [2, 1], [1, 2], [1, -4]], [[1, 2], [1, 3], [1, 5], [2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7797862
{'center': '605.a1.a1', 'center_index': 605, 'center_order': 121, 'counter': 11, 'cyclotomic_n': 11, 'dim': 5, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': '605.5', 'image_order': 605, 'indicator': 0, 'kernel': '605.a1.a1', 'kernel_order': 121, 'label': '73205.j.5c2', 'nt': [55, 10], 'q_character': None, 'values': [[[5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 2], [1, 3], [1, 5], [2, -5]], [[1, 0], [1, 2], [2, 5], [1, -1]], [[1, 0], [1, 1], [2, -5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[2, 5], [1, -5], [1, -3], [1, -2]], [[1, 1], [2, 2], [1, -3], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 3], [1, 4], [2, -3], [1, -1]], [[2, 1], [1, 4], [1, -5], [1, -1]], [[1, 2], [2, 4], [1, 5], [1, -4]], [[1, 1], [1, 5], [1, -4], [2, -1]], [[1, 0], [1, -4], [1, -3], [2, -2]], [[1, 0], [2, 1], [1, 2], [1, -4]], [[1, 0], [1, 3], [1, 5], [2, -4]], [[1, 0], [2, 4], [1, -5], [1, -3]], [[1, 0], [2, 2], [1, 3], [1, 4]], [[1, 1], [2, 3], [1, -4], [1, -3]], [[1, 0], [1, 4], [1, -2], [2, -1]], [[1, 0], [1, 1], [1, 5], [2, -3]], [[1, 2], [1, 3], [2, -2], [1, -1]], [[1, 0], [2, 3], [1, -5], [1, -1]], [[1, 4], [1, -5], [2, -4], [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]], [[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: 7797863
{'center': '605.a1.a1', 'center_index': 605, 'center_order': 121, 'counter': 12, 'cyclotomic_n': 11, 'dim': 5, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': '605.5', 'image_order': 605, 'indicator': 0, 'kernel': '605.a1.a1', 'kernel_order': 121, 'label': '73205.j.5c3', 'nt': [55, 0], 'q_character': None, 'values': [[[5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 2], [2, 4], [1, 5], [1, -4]], [[1, 0], [1, 3], [1, 5], [2, -4]], [[1, 0], [2, 4], [1, -5], [1, -3]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 4], [1, -5], [2, -4], [1, -2]], [[2, 5], [1, -5], [1, -3], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 2], [1, 3], [2, -2], [1, -1]], [[1, 3], [1, 4], [2, -3], [1, -1]], [[1, 1], [1, 5], [1, -4], [2, -1]], [[1, 1], [2, 3], [1, -4], [1, -3]], [[1, 0], [1, 1], [2, -5], [1, -2]], [[1, 0], [1, 1], [1, 5], [2, -3]], [[1, 0], [2, 1], [1, 2], [1, -4]], [[1, 0], [1, 4], [1, -2], [2, -1]], [[1, 0], [1, 2], [2, 5], [1, -1]], [[1, 1], [2, 2], [1, -3], [1, -2]], [[1, 0], [2, 3], [1, -5], [1, -1]], [[1, 0], [1, -4], [1, -3], [2, -2]], [[1, 2], [1, 3], [1, 5], [2, -5]], [[1, 0], [2, 2], [1, 3], [1, 4]], [[2, 1], [1, 4], [1, -5], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 7797864
{'center': '605.a1.a1', 'center_index': 605, 'center_order': 121, 'counter': 13, 'cyclotomic_n': 11, 'dim': 5, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': '605.5', 'image_order': 605, 'indicator': 0, 'kernel': '605.a1.a1', 'kernel_order': 121, 'label': '73205.j.5c4', 'nt': [55, 10], 'q_character': None, 'values': [[[5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 4], [1, -5], [2, -4], [1, -2]], [[1, 0], [2, 4], [1, -5], [1, -3]], [[1, 0], [1, 3], [1, 5], [2, -4]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 2], [2, 4], [1, 5], [1, -4]], [[1, 2], [1, 3], [1, 5], [2, -5]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [2, 2], [1, -3], [1, -2]], [[1, 1], [2, 3], [1, -4], [1, -3]], [[2, 1], [1, 4], [1, -5], [1, -1]], [[1, 3], [1, 4], [2, -3], [1, -1]], [[1, 0], [1, 2], [2, 5], [1, -1]], [[1, 0], [2, 3], [1, -5], [1, -1]], [[1, 0], [1, 4], [1, -2], [2, -1]], [[1, 0], [2, 1], [1, 2], [1, -4]], [[1, 0], [1, 1], [2, -5], [1, -2]], [[1, 2], [1, 3], [2, -2], [1, -1]], [[1, 0], [1, 1], [1, 5], [2, -3]], [[1, 0], [2, 2], [1, 3], [1, 4]], [[2, 5], [1, -5], [1, -3], [1, -2]], [[1, 0], [1, -4], [1, -3], [2, -2]], [[1, 1], [1, 5], [1, -4], [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, 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: 7797865
{'center': '605.a1.a1', 'center_index': 605, 'center_order': 121, 'counter': 14, 'cyclotomic_n': 11, 'dim': 5, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': '605.5', 'image_order': 605, 'indicator': 0, 'kernel': '605.a1.a1', 'kernel_order': 121, 'label': '73205.j.5c5', 'nt': [55, 0], 'q_character': None, 'values': [[[5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [2, 3], [1, -4], [1, -3]], [[1, 0], [1, 1], [1, 5], [2, -3]], [[1, 0], [2, 3], [1, -5], [1, -1]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 3], [1, 4], [2, -3], [1, -1]], [[2, 1], [1, 4], [1, -5], [1, -1]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 2], [2, 4], [1, 5], [1, -4]], [[1, 2], [1, 3], [1, 5], [2, -5]], [[1, 1], [2, 2], [1, -3], [1, -2]], [[2, 5], [1, -5], [1, -3], [1, -2]], [[1, 0], [1, 4], [1, -2], [2, -1]], [[1, 0], [1, 1], [2, -5], [1, -2]], [[1, 0], [1, -4], [1, -3], [2, -2]], [[1, 0], [2, 2], [1, 3], [1, 4]], [[1, 0], [2, 1], [1, 2], [1, -4]], [[1, 4], [1, -5], [2, -4], [1, -2]], [[1, 0], [1, 2], [2, 5], [1, -1]], [[1, 0], [2, 4], [1, -5], [1, -3]], [[1, 1], [1, 5], [1, -4], [2, -1]], [[1, 0], [1, 3], [1, 5], [2, -4]], [[1, 2], [1, 3], [2, -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, 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: 7797866
{'center': '605.a1.a1', 'center_index': 605, 'center_order': 121, 'counter': 15, 'cyclotomic_n': 11, 'dim': 5, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': '605.5', 'image_order': 605, 'indicator': 0, 'kernel': '605.a1.a1', 'kernel_order': 121, 'label': '73205.j.5c6', 'nt': [55, 10], 'q_character': None, 'values': [[[5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 3], [1, 4], [2, -3], [1, -1]], [[1, 0], [2, 3], [1, -5], [1, -1]], [[1, 0], [1, 1], [1, 5], [2, -3]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [2, 3], [1, -4], [1, -3]], [[1, 1], [1, 5], [1, -4], [2, -1]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 4], [1, -5], [2, -4], [1, -2]], [[2, 5], [1, -5], [1, -3], [1, -2]], [[1, 2], [1, 3], [2, -2], [1, -1]], [[1, 2], [1, 3], [1, 5], [2, -5]], [[1, 0], [2, 1], [1, 2], [1, -4]], [[1, 0], [1, 2], [2, 5], [1, -1]], [[1, 0], [2, 2], [1, 3], [1, 4]], [[1, 0], [1, -4], [1, -3], [2, -2]], [[1, 0], [1, 4], [1, -2], [2, -1]], [[1, 2], [2, 4], [1, 5], [1, -4]], [[1, 0], [1, 1], [2, -5], [1, -2]], [[1, 0], [1, 3], [1, 5], [2, -4]], [[2, 1], [1, 4], [1, -5], [1, -1]], [[1, 0], [2, 4], [1, -5], [1, -3]], [[1, 1], [2, 2], [1, -3], [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]], [[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: 7797867
{'center': '605.a1.a1', 'center_index': 605, 'center_order': 121, 'counter': 16, 'cyclotomic_n': 11, 'dim': 5, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': '605.5', 'image_order': 605, 'indicator': 0, 'kernel': '605.a1.a1', 'kernel_order': 121, 'label': '73205.j.5c7', 'nt': [55, 0], 'q_character': None, 'values': [[[5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[2, 1], [1, 4], [1, -5], [1, -1]], [[1, 0], [1, 4], [1, -2], [2, -1]], [[1, 0], [2, 1], [1, 2], [1, -4]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 5], [1, -4], [2, -1]], [[1, 2], [2, 4], [1, 5], [1, -4]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[2, 5], [1, -5], [1, -3], [1, -2]], [[1, 1], [2, 2], [1, -3], [1, -2]], [[1, 3], [1, 4], [2, -3], [1, -1]], [[1, 2], [1, 3], [2, -2], [1, -1]], [[1, 0], [1, 3], [1, 5], [2, -4]], [[1, 0], [2, 2], [1, 3], [1, 4]], [[1, 0], [2, 3], [1, -5], [1, -1]], [[1, 0], [1, 1], [1, 5], [2, -3]], [[1, 0], [2, 4], [1, -5], [1, -3]], [[1, 2], [1, 3], [1, 5], [2, -5]], [[1, 0], [1, -4], [1, -3], [2, -2]], [[1, 0], [1, 2], [2, 5], [1, -1]], [[1, 4], [1, -5], [2, -4], [1, -2]], [[1, 0], [1, 1], [2, -5], [1, -2]], [[1, 1], [2, 3], [1, -4], [1, -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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7797868
{'center': '605.a1.a1', 'center_index': 605, 'center_order': 121, 'counter': 17, 'cyclotomic_n': 11, 'dim': 5, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': '605.5', 'image_order': 605, 'indicator': 0, 'kernel': '605.a1.a1', 'kernel_order': 121, 'label': '73205.j.5c8', 'nt': [55, 10], 'q_character': None, 'values': [[[5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 5], [1, -4], [2, -1]], [[1, 0], [2, 1], [1, 2], [1, -4]], [[1, 0], [1, 4], [1, -2], [2, -1]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[2, 1], [1, 4], [1, -5], [1, -1]], [[1, 4], [1, -5], [2, -4], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 2], [1, 3], [1, 5], [2, -5]], [[1, 2], [1, 3], [2, -2], [1, -1]], [[1, 1], [2, 3], [1, -4], [1, -3]], [[1, 1], [2, 2], [1, -3], [1, -2]], [[1, 0], [2, 4], [1, -5], [1, -3]], [[1, 0], [1, -4], [1, -3], [2, -2]], [[1, 0], [1, 1], [1, 5], [2, -3]], [[1, 0], [2, 3], [1, -5], [1, -1]], [[1, 0], [1, 3], [1, 5], [2, -4]], [[2, 5], [1, -5], [1, -3], [1, -2]], [[1, 0], [2, 2], [1, 3], [1, 4]], [[1, 0], [1, 1], [2, -5], [1, -2]], [[1, 2], [2, 4], [1, 5], [1, -4]], [[1, 0], [1, 2], [2, 5], [1, -1]], [[1, 3], [1, 4], [2, -3], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 7797869
{'center': '605.a1.a1', 'center_index': 605, 'center_order': 121, 'counter': 18, 'cyclotomic_n': 11, 'dim': 5, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': '605.5', 'image_order': 605, 'indicator': 0, 'kernel': '605.a1.a1', 'kernel_order': 121, 'label': '73205.j.5c9', 'nt': [55, 0], 'q_character': None, 'values': [[[5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 2], [1, 3], [2, -2], [1, -1]], [[1, 0], [2, 2], [1, 3], [1, 4]], [[1, 0], [1, -4], [1, -3], [2, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [2, 2], [1, -3], [1, -2]], [[1, 1], [2, 3], [1, -4], [1, -3]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[2, 1], [1, 4], [1, -5], [1, -1]], [[1, 4], [1, -5], [2, -4], [1, -2]], [[1, 2], [1, 3], [1, 5], [2, -5]], [[1, 2], [2, 4], [1, 5], [1, -4]], [[1, 0], [1, 1], [1, 5], [2, -3]], [[1, 0], [1, 3], [1, 5], [2, -4]], [[1, 0], [1, 2], [2, 5], [1, -1]], [[1, 0], [1, 1], [2, -5], [1, -2]], [[1, 0], [2, 3], [1, -5], [1, -1]], [[1, 1], [1, 5], [1, -4], [2, -1]], [[1, 0], [2, 4], [1, -5], [1, -3]], [[1, 0], [2, 1], [1, 2], [1, -4]], [[1, 3], [1, 4], [2, -3], [1, -1]], [[1, 0], [1, 4], [1, -2], [2, -1]], [[2, 5], [1, -5], [1, -3], [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]], [[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: 7797872
{'center': '605.a1.a1', 'center_index': 605, 'center_order': 121, 'counter': 20, 'cyclotomic_n': 11, 'dim': 5, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': '605.5', 'image_order': 605, 'indicator': 0, 'kernel': '605.a1.a1', 'kernel_order': 121, 'label': '73205.j.5d1', 'nt': [55, 0], 'q_character': None, 'values': [[[5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 0], [1, 3], [1, 5], [2, -4]], [[1, 2], [1, 3], [2, -2], [1, -1]], [[1, 1], [2, 2], [1, -3], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 0], [2, 4], [1, -5], [1, -3]], [[1, 0], [1, 1], [2, -5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [2, 2], [1, 3], [1, 4]], [[1, 0], [2, 3], [1, -5], [1, -1]], [[1, 0], [2, 1], [1, 2], [1, -4]], [[1, 0], [1, 1], [1, 5], [2, -3]], [[1, 1], [2, 3], [1, -4], [1, -3]], [[1, 2], [2, 4], [1, 5], [1, -4]], [[1, 2], [1, 3], [1, 5], [2, -5]], [[2, 5], [1, -5], [1, -3], [1, -2]], [[1, 3], [1, 4], [2, -3], [1, -1]], [[1, 0], [1, -4], [1, -3], [2, -2]], [[1, 4], [1, -5], [2, -4], [1, -2]], [[1, 1], [1, 5], [1, -4], [2, -1]], [[1, 0], [1, 2], [2, 5], [1, -1]], [[2, 1], [1, 4], [1, -5], [1, -1]], [[1, 0], [1, 4], [1, -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, 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: 7797881
{'center': '605.a1.a1', 'center_index': 605, 'center_order': 121, 'counter': 29, 'cyclotomic_n': 11, 'dim': 5, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': '605.5', 'image_order': 605, 'indicator': 0, 'kernel': '605.a1.a1', 'kernel_order': 121, 'label': '73205.j.5d10', 'nt': [55, 10], 'q_character': None, 'values': [[[5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [2, 1], [1, 2], [1, -4]], [[1, 2], [1, 3], [1, 5], [2, -5]], [[2, 5], [1, -5], [1, -3], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 4], [1, -2], [2, -1]], [[1, 0], [2, 4], [1, -5], [1, -3]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 0], [1, 2], [2, 5], [1, -1]], [[1, 0], [2, 2], [1, 3], [1, 4]], [[1, 0], [1, 1], [1, 5], [2, -3]], [[1, 0], [1, -4], [1, -3], [2, -2]], [[1, 1], [2, 2], [1, -3], [1, -2]], [[1, 1], [1, 5], [1, -4], [2, -1]], [[1, 2], [2, 4], [1, 5], [1, -4]], [[1, 4], [1, -5], [2, -4], [1, -2]], [[1, 2], [1, 3], [2, -2], [1, -1]], [[1, 0], [1, 1], [2, -5], [1, -2]], [[2, 1], [1, 4], [1, -5], [1, -1]], [[1, 1], [2, 3], [1, -4], [1, -3]], [[1, 0], [1, 3], [1, 5], [2, -4]], [[1, 3], [1, 4], [2, -3], [1, -1]], [[1, 0], [2, 3], [1, -5], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 7797873
{'center': '605.a1.a1', 'center_index': 605, 'center_order': 121, 'counter': 21, 'cyclotomic_n': 11, 'dim': 5, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': '605.5', 'image_order': 605, 'indicator': 0, 'kernel': '605.a1.a1', 'kernel_order': 121, 'label': '73205.j.5d2', 'nt': [55, 10], 'q_character': None, 'values': [[[5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [2, 4], [1, -5], [1, -3]], [[1, 1], [2, 2], [1, -3], [1, -2]], [[1, 2], [1, 3], [2, -2], [1, -1]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 3], [1, 5], [2, -4]], [[1, 0], [1, 2], [2, 5], [1, -1]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 0], [1, -4], [1, -3], [2, -2]], [[1, 0], [1, 1], [1, 5], [2, -3]], [[1, 0], [1, 4], [1, -2], [2, -1]], [[1, 0], [2, 3], [1, -5], [1, -1]], [[1, 3], [1, 4], [2, -3], [1, -1]], [[1, 4], [1, -5], [2, -4], [1, -2]], [[2, 5], [1, -5], [1, -3], [1, -2]], [[1, 2], [1, 3], [1, 5], [2, -5]], [[1, 1], [2, 3], [1, -4], [1, -3]], [[1, 0], [2, 2], [1, 3], [1, 4]], [[1, 2], [2, 4], [1, 5], [1, -4]], [[2, 1], [1, 4], [1, -5], [1, -1]], [[1, 0], [1, 1], [2, -5], [1, -2]], [[1, 1], [1, 5], [1, -4], [2, -1]], [[1, 0], [2, 1], [1, 2], [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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7797874
{'center': '605.a1.a1', 'center_index': 605, 'center_order': 121, 'counter': 22, 'cyclotomic_n': 11, 'dim': 5, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': '605.5', 'image_order': 605, 'indicator': 0, 'kernel': '605.a1.a1', 'kernel_order': 121, 'label': '73205.j.5d3', 'nt': [55, 0], 'q_character': None, 'values': [[[5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 0], [1, 1], [2, -5], [1, -2]], [[1, 1], [2, 3], [1, -4], [1, -3]], [[1, 3], [1, 4], [2, -3], [1, -1]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 0], [1, 2], [2, 5], [1, -1]], [[1, 0], [2, 2], [1, 3], [1, 4]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 1], [1, 5], [2, -3]], [[1, 0], [2, 1], [1, 2], [1, -4]], [[1, 0], [2, 4], [1, -5], [1, -3]], [[1, 0], [1, 4], [1, -2], [2, -1]], [[2, 1], [1, 4], [1, -5], [1, -1]], [[2, 5], [1, -5], [1, -3], [1, -2]], [[1, 1], [2, 2], [1, -3], [1, -2]], [[1, 2], [1, 3], [2, -2], [1, -1]], [[1, 1], [1, 5], [1, -4], [2, -1]], [[1, 0], [2, 3], [1, -5], [1, -1]], [[1, 2], [1, 3], [1, 5], [2, -5]], [[1, 4], [1, -5], [2, -4], [1, -2]], [[1, 0], [1, -4], [1, -3], [2, -2]], [[1, 2], [2, 4], [1, 5], [1, -4]], [[1, 0], [1, 3], [1, 5], [2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 7797875
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id: 7797876
{'center': '605.a1.a1', 'center_index': 605, 'center_order': 121, 'counter': 24, 'cyclotomic_n': 11, 'dim': 5, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': '605.5', 'image_order': 605, 'indicator': 0, 'kernel': '605.a1.a1', 'kernel_order': 121, 'label': '73205.j.5d5', 'nt': [55, 0], 'q_character': None, 'values': [[[5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 0], [1, 1], [1, 5], [2, -3]], [[1, 2], [2, 4], [1, 5], [1, -4]], [[1, 4], [1, -5], [2, -4], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 0], [2, 3], [1, -5], [1, -1]], [[1, 0], [1, 4], [1, -2], [2, -1]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 3], [1, 5], [2, -4]], [[1, 0], [1, 2], [2, 5], [1, -1]], [[1, 0], [1, -4], [1, -3], [2, -2]], [[1, 0], [1, 1], [2, -5], [1, -2]], [[2, 5], [1, -5], [1, -3], [1, -2]], [[1, 1], [2, 3], [1, -4], [1, -3]], [[1, 1], [1, 5], [1, -4], [2, -1]], [[2, 1], [1, 4], [1, -5], [1, -1]], [[1, 2], [1, 3], [1, 5], [2, -5]], [[1, 0], [2, 4], [1, -5], [1, -3]], [[1, 3], [1, 4], [2, -3], [1, -1]], [[1, 1], [2, 2], [1, -3], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, -4]], [[1, 2], [1, 3], [2, -2], [1, -1]], [[1, 0], [2, 2], [1, 3], [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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7797877
{'center': '605.a1.a1', 'center_index': 605, 'center_order': 121, 'counter': 25, 'cyclotomic_n': 11, 'dim': 5, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': '605.5', 'image_order': 605, 'indicator': 0, 'kernel': '605.a1.a1', 'kernel_order': 121, 'label': '73205.j.5d6', 'nt': [55, 10], 'q_character': None, 'values': [[[5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [2, 3], [1, -5], [1, -1]], [[1, 4], [1, -5], [2, -4], [1, -2]], [[1, 2], [2, 4], [1, 5], [1, -4]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 1], [1, 5], [2, -3]], [[1, 0], [2, 1], [1, 2], [1, -4]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 0], [2, 4], [1, -5], [1, -3]], [[1, 0], [1, 1], [2, -5], [1, -2]], [[1, 0], [2, 2], [1, 3], [1, 4]], [[1, 0], [1, 2], [2, 5], [1, -1]], [[1, 2], [1, 3], [1, 5], [2, -5]], [[1, 3], [1, 4], [2, -3], [1, -1]], [[2, 1], [1, 4], [1, -5], [1, -1]], [[1, 1], [1, 5], [1, -4], [2, -1]], [[2, 5], [1, -5], [1, -3], [1, -2]], [[1, 0], [1, 3], [1, 5], [2, -4]], [[1, 1], [2, 3], [1, -4], [1, -3]], [[1, 2], [1, 3], [2, -2], [1, -1]], [[1, 0], [1, 4], [1, -2], [2, -1]], [[1, 1], [2, 2], [1, -3], [1, -2]], [[1, 0], [1, -4], [1, -3], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 7797878
{'center': '605.a1.a1', 'center_index': 605, 'center_order': 121, 'counter': 26, 'cyclotomic_n': 11, 'dim': 5, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': '605.5', 'image_order': 605, 'indicator': 0, 'kernel': '605.a1.a1', 'kernel_order': 121, 'label': '73205.j.5d7', 'nt': [55, 0], 'q_character': None, 'values': [[[5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 0], [2, 2], [1, 3], [1, 4]], [[2, 1], [1, 4], [1, -5], [1, -1]], [[1, 1], [1, 5], [1, -4], [2, -1]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 0], [1, -4], [1, -3], [2, -2]], [[1, 0], [1, 1], [1, 5], [2, -3]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 4], [1, -2], [2, -1]], [[1, 0], [2, 4], [1, -5], [1, -3]], [[1, 0], [1, 2], [2, 5], [1, -1]], [[1, 0], [1, 3], [1, 5], [2, -4]], [[1, 2], [2, 4], [1, 5], [1, -4]], [[1, 2], [1, 3], [2, -2], [1, -1]], [[1, 3], [1, 4], [2, -3], [1, -1]], [[1, 1], [2, 3], [1, -4], [1, -3]], [[1, 4], [1, -5], [2, -4], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, -4]], [[1, 1], [2, 2], [1, -3], [1, -2]], [[1, 2], [1, 3], [1, 5], [2, -5]], [[1, 0], [2, 3], [1, -5], [1, -1]], [[2, 5], [1, -5], [1, -3], [1, -2]], [[1, 0], [1, 1], [2, -5], [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]], [[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: 7797879
{'center': '605.a1.a1', 'center_index': 605, 'center_order': 121, 'counter': 27, 'cyclotomic_n': 11, 'dim': 5, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': '605.5', 'image_order': 605, 'indicator': 0, 'kernel': '605.a1.a1', 'kernel_order': 121, 'label': '73205.j.5d8', 'nt': [55, 10], 'q_character': None, 'values': [[[5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[5, 0]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, -4], [1, -3], [2, -2]], [[1, 1], [1, 5], [1, -4], [2, -1]], [[2, 1], [1, 4], [1, -5], [1, -1]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [2, 2], [1, 3], [1, 4]], [[1, 0], [2, 3], [1, -5], [1, -1]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 0], [2, 1], [1, 2], [1, -4]], [[1, 0], [1, 3], [1, 5], [2, -4]], [[1, 0], [1, 1], [2, -5], [1, -2]], [[1, 0], [2, 4], [1, -5], [1, -3]], [[1, 4], [1, -5], [2, -4], [1, -2]], [[1, 1], [2, 2], [1, -3], [1, -2]], [[1, 1], [2, 3], [1, -4], [1, -3]], [[1, 3], [1, 4], [2, -3], [1, -1]], [[1, 2], [2, 4], [1, 5], [1, -4]], [[1, 0], [1, 4], [1, -2], [2, -1]], [[1, 2], [1, 3], [2, -2], [1, -1]], [[2, 5], [1, -5], [1, -3], [1, -2]], [[1, 0], [1, 1], [1, 5], [2, -3]], [[1, 2], [1, 3], [1, 5], [2, -5]], [[1, 0], [1, 2], [2, 5], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 7797880
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id: 7797883
{'center': '6655.a1.a1', 'center_index': 6655, 'center_order': 11, 'counter': 30, 'cyclotomic_n': 11, 'dim': 11, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': None, 'image_order': 73205, 'indicator': 0, 'kernel': '73205.a1.a1', 'kernel_order': 1, 'label': '73205.j.11a1', 'nt': [121, 0], 'q_character': None, 'values': [[[11, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[11, -5]], [[11, 1]], [[11, 3]], [[11, -2]], [[11, -4]], [[11, 5]], [[11, -1]], [[11, 2]], [[11, 4]], [[11, -3]], [[-2, 1], [-2, 2], [-2, 3], [-2, 5], [-1, -5], [-2, -3]], [[-2, 0], [-2, 4], [-2, 5], [-2, -5], [-2, -3], [-1, -2]], [[-2, 0], [-1, 2], [-2, 3], [-2, 5], [-2, -5], [-2, -4]], [[2, 2], [1, 4], [2, 5], [2, -4], [2, -3], [2, -2]], [[0, 0]], [[-2, 1], [-1, 3], [-2, 4], [-2, -5], [-2, -4], [-2, -3]], [[2, 0], [2, 4], [2, 5], [2, -5], [2, -3], [1, -2]], [[-1, 0], [-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[2, 0], [2, 1], [2, 2], [2, 4], [1, 5], [2, -4]], [[-2, 2], [-2, 3], [-2, 4], [-2, -5], [-1, -4], [-2, -2]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [-1, 4], [1, 5], [1, -5], [1, -4], [-1, -3], [1, -2]], [[-2, 0], [-2, 1], [-2, 2], [-2, 4], [-1, 5], [-2, -4]], [[-2, 2], [-1, 4], [-2, 5], [-2, -4], [-2, -3], [-2, -2]], [[-2, 0], [-2, 1], [-2, 2], [-2, -5], [-1, -3], [-2, -2]], [[0, 0]], [[1, 0], [-1, 1], [1, 2], [1, 3], [1, 4], [-1, 5], [-1, -5], [-1, -4], [1, -3], [-1, -2]], [[2, 2], [2, 3], [2, 4], [2, -5], [1, -4], [2, -2]], [[2, 1], [1, 3], [2, 4], [2, -5], [2, -4], [2, -3]], [[1, 0], [2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[2, 1], [2, 2], [2, 3], [2, 5], [1, -5], [2, -3]], [[2, 0], [2, 1], [2, 2], [2, -5], [1, -3], [2, -2]], [[2, 0], [1, 2], [2, 3], [2, 5], [2, -5], [2, -4]], [[-2, 0], [-1, 1], [-2, 3], [-2, -4], [-2, -3], [-2, -2]], [[2, 0], [1, 1], [2, 3], [2, -4], [2, -3], [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]], [[1, -1]], [[1, -5]], [[1, 3]], [[1, 3]], [[1, 2]], [[1, 3]], [[1, -4]], [[1, -1]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -3]], [[1, -3]], [[1, -3]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 2]], [[1, 3]], [[1, 4]], [[1, -5]], [[1, -5]], [[1, -4]], [[1, -5]], [[1, -1]], [[1, 2]], [[1, -3]], [[1, -4]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 5]], [[1, 5]], [[1, 4]], [[1, 4]]]}
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id: 7797892
{'center': '6655.a1.a1', 'center_index': 6655, 'center_order': 11, 'counter': 39, 'cyclotomic_n': 11, 'dim': 11, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': None, 'image_order': 73205, 'indicator': 0, 'kernel': '73205.a1.a1', 'kernel_order': 1, 'label': '73205.j.11a10', 'nt': [121, 10], 'q_character': None, 'values': [[[11, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[11, 1]], [[11, 2]], [[11, -5]], [[11, -4]], [[11, 3]], [[11, -1]], [[11, -2]], [[11, 4]], [[11, -3]], [[11, 5]], [[2, 0], [1, 1], [2, 3], [2, -4], [2, -3], [2, -2]], [[2, 2], [2, 3], [2, 4], [2, -5], [1, -4], [2, -2]], [[2, 2], [1, 4], [2, 5], [2, -4], [2, -3], [2, -2]], [[-2, 0], [-2, 1], [-2, 2], [-2, -5], [-1, -3], [-2, -2]], [[0, 0]], [[-2, 1], [-2, 2], [-2, 3], [-2, 5], [-1, -5], [-2, -3]], [[-2, 2], [-2, 3], [-2, 4], [-2, -5], [-1, -4], [-2, -2]], [[1, 0], [2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[1, 0], [-1, 1], [1, 2], [1, 3], [1, 4], [-1, 5], [-1, -5], [-1, -4], [1, -3], [-1, -2]], [[-2, 1], [-1, 3], [-2, 4], [-2, -5], [-2, -4], [-2, -3]], [[-2, 0], [-2, 4], [-2, 5], [-2, -5], [-2, -3], [-1, -2]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [-1, 4], [1, 5], [1, -5], [1, -4], [-1, -3], [1, -2]], [[2, 0], [2, 1], [2, 2], [2, -5], [1, -3], [2, -2]], [[-2, 0], [-2, 1], [-2, 2], [-2, 4], [-1, 5], [-2, -4]], [[0, 0]], [[2, 0], [2, 4], [2, 5], [2, -5], [2, -3], [1, -2]], [[2, 1], [1, 3], [2, 4], [2, -5], [2, -4], [2, -3]], [[2, 1], [2, 2], [2, 3], [2, 5], [1, -5], [2, -3]], [[-1, 0], [-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[-2, 0], [-1, 1], [-2, 3], [-2, -4], [-2, -3], [-2, -2]], [[2, 0], [2, 1], [2, 2], [2, 4], [1, 5], [2, -4]], [[-2, 2], [-1, 4], [-2, 5], [-2, -4], [-2, -3], [-2, -2]], [[-2, 0], [-1, 2], [-2, 3], [-2, 5], [-2, -5], [-2, -4]], [[2, 0], [1, 2], [2, 3], [2, 5], [2, -5], [2, -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]], [[1, -2]], [[1, 1]], [[1, -5]], [[1, -5]], [[1, 4]], [[1, -5]], [[1, 3]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -4]], [[1, 5]], [[1, 5]], [[1, 5]], [[1, 2]], [[1, -3]], [[1, -2]], [[1, -4]], [[1, 3]], [[1, 4]], [[1, 4]], [[1, -5]], [[1, -3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, -2]], [[1, 4]], [[1, 5]], [[1, 3]], [[1, -4]], [[1, -4]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -3]], [[1, -3]]]}
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id: 7797884
{'center': '6655.a1.a1', 'center_index': 6655, 'center_order': 11, 'counter': 31, 'cyclotomic_n': 11, 'dim': 11, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': None, 'image_order': 73205, 'indicator': 0, 'kernel': '73205.a1.a1', 'kernel_order': 1, 'label': '73205.j.11a2', 'nt': [121, 10], 'q_character': None, 'values': [[[11, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[11, 5]], [[11, -1]], [[11, -3]], [[11, 2]], [[11, 4]], [[11, -5]], [[11, 1]], [[11, -2]], [[11, -4]], [[11, 3]], [[2, 0], [2, 1], [2, 2], [2, 4], [1, 5], [2, -4]], [[-2, 0], [-1, 2], [-2, 3], [-2, 5], [-2, -5], [-2, -4]], [[-2, 0], [-2, 4], [-2, 5], [-2, -5], [-2, -3], [-1, -2]], [[2, 2], [2, 3], [2, 4], [2, -5], [1, -4], [2, -2]], [[0, 0]], [[2, 0], [2, 1], [2, 2], [2, -5], [1, -3], [2, -2]], [[2, 0], [1, 2], [2, 3], [2, 5], [2, -5], [2, -4]], [[1, 0], [2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[-2, 1], [-2, 2], [-2, 3], [-2, 5], [-1, -5], [-2, -3]], [[-2, 2], [-1, 4], [-2, 5], [-2, -4], [-2, -3], [-2, -2]], [[-2, 0], [-1, 1], [-2, 3], [-2, -4], [-2, -3], [-2, -2]], [[2, 1], [2, 2], [2, 3], [2, 5], [1, -5], [2, -3]], [[-2, 2], [-2, 3], [-2, 4], [-2, -5], [-1, -4], [-2, -2]], [[2, 1], [1, 3], [2, 4], [2, -5], [2, -4], [2, -3]], [[0, 0]], [[2, 0], [1, 1], [2, 3], [2, -4], [2, -3], [2, -2]], [[2, 2], [1, 4], [2, 5], [2, -4], [2, -3], [2, -2]], [[-2, 0], [-2, 1], [-2, 2], [-2, -5], [-1, -3], [-2, -2]], [[-1, 0], [-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[-2, 0], [-2, 1], [-2, 2], [-2, 4], [-1, 5], [-2, -4]], [[-2, 1], [-1, 3], [-2, 4], [-2, -5], [-2, -4], [-2, -3]], [[2, 0], [2, 4], [2, 5], [2, -5], [2, -3], [1, -2]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [-1, 4], [1, 5], [1, -5], [1, -4], [-1, -3], [1, -2]], [[1, 0], [-1, 1], [1, 2], [1, 3], [1, 4], [-1, 5], [-1, -5], [-1, -4], [1, -3], [-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]], [[1, 1]], [[1, 5]], [[1, -3]], [[1, -3]], [[1, -2]], [[1, -3]], [[1, 4]], [[1, 1]], [[1, -5]], [[1, -5]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -2]], [[1, -3]], [[1, -4]], [[1, 5]], [[1, 5]], [[1, 4]], [[1, 5]], [[1, 1]], [[1, -2]], [[1, 3]], [[1, 4]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -5]], [[1, -5]], [[1, -4]], [[1, -4]]]}
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id: 7797885
{'center': '6655.a1.a1', 'center_index': 6655, 'center_order': 11, 'counter': 32, 'cyclotomic_n': 11, 'dim': 11, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': None, 'image_order': 73205, 'indicator': 0, 'kernel': '73205.a1.a1', 'kernel_order': 1, 'label': '73205.j.11a3', 'nt': [121, 0], 'q_character': None, 'values': [[[11, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[11, -4]], [[11, 3]], [[11, -2]], [[11, 5]], [[11, -1]], [[11, 4]], [[11, -3]], [[11, -5]], [[11, 1]], [[11, 2]], [[-2, 2], [-2, 3], [-2, 4], [-2, -5], [-1, -4], [-2, -2]], [[-2, 0], [-2, 1], [-2, 2], [-2, 4], [-1, 5], [-2, -4]], [[2, 1], [2, 2], [2, 3], [2, 5], [1, -5], [2, -3]], [[-2, 0], [-1, 1], [-2, 3], [-2, -4], [-2, -3], [-2, -2]], [[0, 0]], [[2, 0], [2, 4], [2, 5], [2, -5], [2, -3], [1, -2]], [[2, 0], [2, 1], [2, 2], [2, 4], [1, 5], [2, -4]], [[-1, 0], [-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[-2, 2], [-1, 4], [-2, 5], [-2, -4], [-2, -3], [-2, -2]], [[1, 0], [-1, 1], [1, 2], [1, 3], [1, 4], [-1, 5], [-1, -5], [-1, -4], [1, -3], [-1, -2]], [[-2, 0], [-2, 1], [-2, 2], [-2, -5], [-1, -3], [-2, -2]], [[2, 2], [1, 4], [2, 5], [2, -4], [2, -3], [2, -2]], [[2, 0], [1, 1], [2, 3], [2, -4], [2, -3], [2, -2]], [[-2, 0], [-1, 2], [-2, 3], [-2, 5], [-2, -5], [-2, -4]], [[0, 0]], [[2, 0], [2, 1], [2, 2], [2, -5], [1, -3], [2, -2]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [-1, 4], [1, 5], [1, -5], [1, -4], [-1, -3], [1, -2]], [[-2, 0], [-2, 4], [-2, 5], [-2, -5], [-2, -3], [-1, -2]], [[1, 0], [2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[2, 2], [2, 3], [2, 4], [2, -5], [1, -4], [2, -2]], [[2, 0], [1, 2], [2, 3], [2, 5], [2, -5], [2, -4]], [[-2, 1], [-2, 2], [-2, 3], [-2, 5], [-1, -5], [-2, -3]], [[2, 1], [1, 3], [2, 4], [2, -5], [2, -4], [2, -3]], [[-2, 1], [-1, 3], [-2, 4], [-2, -5], [-2, -4], [-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -3]], [[1, -4]], [[1, -2]], [[1, -2]], [[1, -5]], [[1, -2]], [[1, -1]], [[1, -3]], [[1, 4]], [[1, 4]], [[1, 3]], [[1, 3]], [[1, 5]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 3]], [[1, 1]], [[1, -3]], [[1, 5]], [[1, -1]], [[1, -5]], [[1, -5]], [[1, -2]], [[1, 1]], [[1, -4]], [[1, -4]], [[1, -1]], [[1, -4]], [[1, -3]], [[1, -5]], [[1, 2]], [[1, -1]], [[1, 5]], [[1, 5]], [[1, 3]], [[1, 4]], [[1, 4]], [[1, 1]], [[1, 1]]]}
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id: 7797886
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id: 7797887
{'center': '6655.a1.a1', 'center_index': 6655, 'center_order': 11, 'counter': 34, 'cyclotomic_n': 11, 'dim': 11, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': None, 'image_order': 73205, 'indicator': 0, 'kernel': '73205.a1.a1', 'kernel_order': 1, 'label': '73205.j.11a5', 'nt': [121, 0], 'q_character': None, 'values': [[[11, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[11, -3]], [[11, 5]], [[11, 4]], [[11, 1]], [[11, 2]], [[11, 3]], [[11, -5]], [[11, -1]], [[11, -2]], [[11, -4]], [[2, 0], [2, 1], [2, 2], [2, -5], [1, -3], [2, -2]], [[-2, 0], [-1, 1], [-2, 3], [-2, -4], [-2, -3], [-2, -2]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [-1, 4], [1, 5], [1, -5], [1, -4], [-1, -3], [1, -2]], [[-2, 0], [-2, 4], [-2, 5], [-2, -5], [-2, -3], [-1, -2]], [[0, 0]], [[-2, 2], [-1, 4], [-2, 5], [-2, -4], [-2, -3], [-2, -2]], [[2, 0], [1, 1], [2, 3], [2, -4], [2, -3], [2, -2]], [[-1, 0], [-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[-2, 1], [-1, 3], [-2, 4], [-2, -5], [-2, -4], [-2, -3]], [[2, 0], [1, 2], [2, 3], [2, 5], [2, -5], [2, -4]], [[2, 1], [2, 2], [2, 3], [2, 5], [1, -5], [2, -3]], [[2, 1], [1, 3], [2, 4], [2, -5], [2, -4], [2, -3]], [[2, 0], [2, 4], [2, 5], [2, -5], [2, -3], [1, -2]], [[2, 2], [2, 3], [2, 4], [2, -5], [1, -4], [2, -2]], [[0, 0]], [[-2, 1], [-2, 2], [-2, 3], [-2, 5], [-1, -5], [-2, -3]], [[-2, 0], [-1, 2], [-2, 3], [-2, 5], [-2, -5], [-2, -4]], [[2, 2], [1, 4], [2, 5], [2, -4], [2, -3], [2, -2]], [[1, 0], [2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[-2, 0], [-2, 1], [-2, 2], [-2, -5], [-1, -3], [-2, -2]], [[-2, 2], [-2, 3], [-2, 4], [-2, -5], [-1, -4], [-2, -2]], [[1, 0], [-1, 1], [1, 2], [1, 3], [1, 4], [-1, 5], [-1, -5], [-1, -4], [1, -3], [-1, -2]], [[-2, 0], [-2, 1], [-2, 2], [-2, 4], [-1, 5], [-2, -4]], [[2, 0], [2, 1], [2, 2], [2, 4], [1, 5], [2, -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]], [[1, -5]], [[1, -3]], [[1, 4]], [[1, 4]], [[1, -1]], [[1, 4]], [[1, 2]], [[1, -5]], [[1, 3]], [[1, 3]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, -4]], [[1, -4]], [[1, -4]], [[1, 5]], [[1, -2]], [[1, -5]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 4]], [[1, -2]], [[1, -3]], [[1, -3]], [[1, 2]], [[1, -3]], [[1, -5]], [[1, -1]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 5]], [[1, 3]], [[1, 3]], [[1, -2]], [[1, -2]]]}
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id: 7797888
{'center': '6655.a1.a1', 'center_index': 6655, 'center_order': 11, 'counter': 35, 'cyclotomic_n': 11, 'dim': 11, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': None, 'image_order': 73205, 'indicator': 0, 'kernel': '73205.a1.a1', 'kernel_order': 1, 'label': '73205.j.11a6', 'nt': [121, 10], 'q_character': None, 'values': [[[11, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[11, 3]], [[11, -5]], [[11, -4]], [[11, -1]], [[11, -2]], [[11, -3]], [[11, 5]], [[11, 1]], [[11, 2]], [[11, 4]], [[-2, 1], [-1, 3], [-2, 4], [-2, -5], [-2, -4], [-2, -3]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [-1, 4], [1, 5], [1, -5], [1, -4], [-1, -3], [1, -2]], [[-2, 0], [-1, 1], [-2, 3], [-2, -4], [-2, -3], [-2, -2]], [[-2, 0], [-1, 2], [-2, 3], [-2, 5], [-2, -5], [-2, -4]], [[0, 0]], [[-2, 2], [-2, 3], [-2, 4], [-2, -5], [-1, -4], [-2, -2]], [[1, 0], [-1, 1], [1, 2], [1, 3], [1, 4], [-1, 5], [-1, -5], [-1, -4], [1, -3], [-1, -2]], [[1, 0], [2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[2, 0], [2, 1], [2, 2], [2, -5], [1, -3], [2, -2]], [[2, 0], [2, 4], [2, 5], [2, -5], [2, -3], [1, -2]], [[-2, 0], [-2, 1], [-2, 2], [-2, 4], [-1, 5], [-2, -4]], [[-2, 0], [-2, 1], [-2, 2], [-2, -5], [-1, -3], [-2, -2]], [[2, 0], [1, 2], [2, 3], [2, 5], [2, -5], [2, -4]], [[2, 2], [1, 4], [2, 5], [2, -4], [2, -3], [2, -2]], [[0, 0]], [[2, 0], [2, 1], [2, 2], [2, 4], [1, 5], [2, -4]], [[-2, 0], [-2, 4], [-2, 5], [-2, -5], [-2, -3], [-1, -2]], [[2, 2], [2, 3], [2, 4], [2, -5], [1, -4], [2, -2]], [[-1, 0], [-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[2, 1], [1, 3], [2, 4], [2, -5], [2, -4], [2, -3]], [[-2, 2], [-1, 4], [-2, 5], [-2, -4], [-2, -3], [-2, -2]], [[2, 0], [1, 1], [2, 3], [2, -4], [2, -3], [2, -2]], [[2, 1], [2, 2], [2, 3], [2, 5], [1, -5], [2, -3]], [[-2, 1], [-2, 2], [-2, 3], [-2, 5], [-1, -5], [-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 5]], [[1, 3]], [[1, -4]], [[1, -4]], [[1, 1]], [[1, -4]], [[1, -2]], [[1, 5]], [[1, -3]], [[1, -3]], [[1, -5]], [[1, -5]], [[1, -1]], [[1, 4]], [[1, 4]], [[1, 4]], [[1, -5]], [[1, 2]], [[1, 5]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -4]], [[1, 2]], [[1, 3]], [[1, 3]], [[1, -2]], [[1, 3]], [[1, 5]], [[1, 1]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -5]], [[1, -3]], [[1, -3]], [[1, 2]], [[1, 2]]]}
-
id: 7797889
{'center': '6655.a1.a1', 'center_index': 6655, 'center_order': 11, 'counter': 36, 'cyclotomic_n': 11, 'dim': 11, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': None, 'image_order': 73205, 'indicator': 0, 'kernel': '73205.a1.a1', 'kernel_order': 1, 'label': '73205.j.11a7', 'nt': [121, 0], 'q_character': None, 'values': [[[11, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[11, -2]], [[11, -4]], [[11, -1]], [[11, -3]], [[11, 5]], [[11, 2]], [[11, 4]], [[11, 3]], [[11, -5]], [[11, 1]], [[2, 0], [2, 4], [2, 5], [2, -5], [2, -3], [1, -2]], [[-2, 0], [-2, 1], [-2, 2], [-2, -5], [-1, -3], [-2, -2]], [[2, 1], [1, 3], [2, 4], [2, -5], [2, -4], [2, -3]], [[2, 1], [2, 2], [2, 3], [2, 5], [1, -5], [2, -3]], [[0, 0]], [[1, 0], [-1, 1], [1, 2], [1, 3], [1, 4], [-1, 5], [-1, -5], [-1, -4], [1, -3], [-1, -2]], [[2, 0], [2, 1], [2, 2], [2, -5], [1, -3], [2, -2]], [[1, 0], [2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[2, 0], [1, 2], [2, 3], [2, 5], [2, -5], [2, -4]], [[2, 0], [2, 1], [2, 2], [2, 4], [1, 5], [2, -4]], [[2, 2], [1, 4], [2, 5], [2, -4], [2, -3], [2, -2]], [[-2, 0], [-1, 2], [-2, 3], [-2, 5], [-2, -5], [-2, -4]], [[-2, 1], [-2, 2], [-2, 3], [-2, 5], [-1, -5], [-2, -3]], [[-2, 0], [-1, 1], [-2, 3], [-2, -4], [-2, -3], [-2, -2]], [[0, 0]], [[-2, 2], [-1, 4], [-2, 5], [-2, -4], [-2, -3], [-2, -2]], [[-2, 0], [-2, 1], [-2, 2], [-2, 4], [-1, 5], [-2, -4]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [-1, 4], [1, 5], [1, -5], [1, -4], [-1, -3], [1, -2]], [[-1, 0], [-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[-2, 0], [-2, 4], [-2, 5], [-2, -5], [-2, -3], [-1, -2]], [[2, 0], [1, 1], [2, 3], [2, -4], [2, -3], [2, -2]], [[-2, 1], [-1, 3], [-2, 4], [-2, -5], [-2, -4], [-2, -3]], [[2, 2], [2, 3], [2, 4], [2, -5], [1, -4], [2, -2]], [[-2, 2], [-2, 3], [-2, 4], [-2, -5], [-1, -4], [-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]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 3]], [[1, -1]], [[1, 5]], [[1, 4]], [[1, 2]], [[1, 2]], [[1, -4]], [[1, -4]], [[1, -3]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -4]], [[1, -5]], [[1, 4]], [[1, -3]], [[1, 5]], [[1, 3]], [[1, 3]], [[1, -1]], [[1, -5]], [[1, -2]], [[1, -2]], [[1, 5]], [[1, -2]], [[1, 4]], [[1, 3]], [[1, 1]], [[1, 5]], [[1, -3]], [[1, -3]], [[1, -4]], [[1, 2]], [[1, 2]], [[1, -5]], [[1, -5]]]}
-
id: 7797890
{'center': '6655.a1.a1', 'center_index': 6655, 'center_order': 11, 'counter': 37, 'cyclotomic_n': 11, 'dim': 11, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': None, 'image_order': 73205, 'indicator': 0, 'kernel': '73205.a1.a1', 'kernel_order': 1, 'label': '73205.j.11a8', 'nt': [121, 10], 'q_character': None, 'values': [[[11, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[11, 2]], [[11, 4]], [[11, 1]], [[11, 3]], [[11, -5]], [[11, -2]], [[11, -4]], [[11, -3]], [[11, 5]], [[11, -1]], [[2, 0], [1, 2], [2, 3], [2, 5], [2, -5], [2, -4]], [[2, 1], [1, 3], [2, 4], [2, -5], [2, -4], [2, -3]], [[-2, 0], [-2, 1], [-2, 2], [-2, -5], [-1, -3], [-2, -2]], [[-2, 0], [-2, 1], [-2, 2], [-2, 4], [-1, 5], [-2, -4]], [[0, 0]], [[2, 0], [1, 1], [2, 3], [2, -4], [2, -3], [2, -2]], [[-2, 1], [-1, 3], [-2, 4], [-2, -5], [-2, -4], [-2, -3]], [[-1, 0], [-2, 1], [-2, 3], [-2, 4], [-2, 5], [-2, -2]], [[2, 0], [2, 4], [2, 5], [2, -5], [2, -3], [1, -2]], [[-2, 1], [-2, 2], [-2, 3], [-2, 5], [-1, -5], [-2, -3]], [[2, 2], [2, 3], [2, 4], [2, -5], [1, -4], [2, -2]], [[-2, 0], [-2, 4], [-2, 5], [-2, -5], [-2, -3], [-1, -2]], [[2, 0], [2, 1], [2, 2], [2, 4], [1, 5], [2, -4]], [[-1, 0], [1, 1], [-1, 2], [-1, 3], [-1, 4], [1, 5], [1, -5], [1, -4], [-1, -3], [1, -2]], [[0, 0]], [[-2, 2], [-2, 3], [-2, 4], [-2, -5], [-1, -4], [-2, -2]], [[2, 1], [2, 2], [2, 3], [2, 5], [1, -5], [2, -3]], [[-2, 0], [-1, 1], [-2, 3], [-2, -4], [-2, -3], [-2, -2]], [[1, 0], [2, 1], [2, 3], [2, 4], [2, 5], [2, -2]], [[-2, 0], [-1, 2], [-2, 3], [-2, 5], [-2, -5], [-2, -4]], [[1, 0], [-1, 1], [1, 2], [1, 3], [1, 4], [-1, 5], [-1, -5], [-1, -4], [1, -3], [-1, -2]], [[2, 0], [2, 1], [2, 2], [2, -5], [1, -3], [2, -2]], [[2, 2], [1, 4], [2, 5], [2, -4], [2, -3], [2, -2]], [[-2, 2], [-1, 4], [-2, 5], [-2, -4], [-2, -3], [-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]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -3]], [[1, 1]], [[1, -5]], [[1, -4]], [[1, -2]], [[1, -2]], [[1, 4]], [[1, 4]], [[1, 3]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 4]], [[1, 5]], [[1, -4]], [[1, 3]], [[1, -5]], [[1, -3]], [[1, -3]], [[1, 1]], [[1, 5]], [[1, 2]], [[1, 2]], [[1, -5]], [[1, 2]], [[1, -4]], [[1, -3]], [[1, -1]], [[1, -5]], [[1, 3]], [[1, 3]], [[1, 4]], [[1, -2]], [[1, -2]], [[1, 5]], [[1, 5]]]}
-
id: 7797891
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id: 7797894
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id: 7797903
{'center': '6655.a1.a1', 'center_index': 6655, 'center_order': 11, 'counter': 49, 'cyclotomic_n': 55, 'dim': 11, 'faithful': True, 'field': [1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': None, 'image_order': 73205, 'indicator': 0, 'kernel': '73205.a1.a1', 'kernel_order': 1, 'label': '73205.j.11b10', 'nt': [605, 40], 'q_character': None, 'values': [[[11, 0]], [[1, 22]], [[1, -22]], [[1, -11]], [[1, 11]], [[11, 15]], [[11, -25]], [[11, -20]], [[11, -5]], [[11, -10]], [[11, -15]], [[11, 25]], [[11, 5]], [[11, 10]], [[11, 20]], [[2, 0], [-2, 1], [-2, 6], [2, 10], [-2, 12], [1, 15], [-2, 17], [-2, 23], [2, 25], [-2, -27], [-2, -21], [-2, -16]], [[-2, 1], [2, 5], [-1, 6], [-2, 12], [-1, 17], [-2, 23], [2, 25], [-1, -27], [2, -25], [-2, -21], [2, -20], [-1, -16]], [[1, 5], [-2, 6], [2, 10], [-2, 17], [2, 20], [2, 25], [-2, -27], [2, -25], [-2, -16]], [[-2, 0], [-1, 10], [-2, 15], [-2, 25], [-2, -25], [-2, -20]], [[0, 0]], [[2, 1], [-2, 10], [2, 12], [-2, 15], [-2, 20], [2, 23], [-2, -25], [2, -21], [-1, -20]], [[2, 1], [-2, 5], [1, 6], [2, 12], [1, 17], [2, 23], [-2, 25], [1, -27], [-2, -25], [2, -21], [-2, -20], [1, -16]], [[1, 0], [-2, 1], [2, 5], [-2, 12], [2, 15], [2, 20], [-2, 23], [2, 25], [-2, -21]], [[1, 0], [-1, 1], [1, 5], [1, 6], [1, 10], [-1, 12], [-1, 15], [1, 17], [-1, 20], [-1, 23], [-1, 25], [1, -27], [1, -25], [-1, -21], [-1, -20], [1, -16]], [[1, 1], [-2, 5], [2, 6], [-2, 10], [1, 12], [-2, 15], [2, 17], [1, 23], [2, -27], [1, -21], [-2, -20], [2, -16]], [[-2, 0], [-2, 5], [-2, 10], [-2, 20], [-1, 25], [-2, -20]], [[-1, 0], [1, 1], [-1, 5], [-1, 6], [-1, 10], [1, 12], [1, 15], [-1, 17], [1, 20], [1, 23], [1, 25], [-1, -27], [-1, -25], [1, -21], [1, -20], [-1, -16]], [[2, 0], [1, 10], [2, 15], [2, 25], [2, -25], [2, -20]], [[-2, 0], [-2, 5], [2, 6], [-2, 15], [2, 17], [-1, 20], [2, -27], [-2, -25], [2, -16]], [[0, 0]], [[2, 0], [2, 5], [2, 10], [2, 20], [1, 25], [2, -20]], [[-1, 1], [2, 5], [-2, 6], [2, 10], [-1, 12], [2, 15], [-2, 17], [-1, 23], [-2, -27], [-1, -21], [2, -20], [-2, -16]], [[-2, 1], [2, 10], [-2, 12], [2, 15], [2, 20], [-2, 23], [2, -25], [-2, -21], [1, -20]], [[-1, 0], [2, 1], [-2, 5], [2, 12], [-2, 15], [-2, 20], [2, 23], [-2, 25], [2, -21]], [[-2, 0], [2, 1], [2, 6], [-2, 10], [2, 12], [-1, 15], [2, 17], [2, 23], [-2, 25], [2, -27], [2, -21], [2, -16]], [[2, 0], [2, 5], [-2, 6], [2, 15], [-2, 17], [1, 20], [-2, -27], [2, -25], [-2, -16]], [[-1, 5], [2, 6], [-2, 10], [2, 17], [-2, 20], [-2, 25], [2, -27], [-2, -25], [2, -16]], [[-2, 0], [2, 1], [2, 6], [2, 12], [2, 17], [-2, 20], [2, 23], [2, -27], [-1, -25], [2, -21], [-2, -20], [2, -16]], [[2, 0], [-2, 1], [-2, 6], [-2, 12], [-2, 17], [2, 20], [-2, 23], [-2, -27], [1, -25], [-2, -21], [2, -20], [-2, -16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -19]], [[1, -18]], [[1, 24]], [[1, 2]], [[1, 16]], [[1, 13]], [[1, 23]], [[1, -8]], [[1, -26]], [[1, 7]], [[1, -14]], [[1, 8]], [[1, -27]], [[1, -24]], [[1, -13]], [[1, 9]], [[1, -3]], [[1, 21]], [[1, 14]], [[1, 6]], [[1, 12]], [[1, -6]], [[1, 27]], [[1, -9]], [[1, -12]], [[1, -7]], [[1, 26]], [[1, -21]], [[1, 4]], [[1, 3]], [[1, -17]], [[1, -2]], [[1, 1]], [[1, 17]], [[1, -16]], [[1, 19]], [[1, -4]], [[1, 18]], [[1, -1]], [[1, -23]]]}
-
id: 7797905
{'center': '6655.a1.a1', 'center_index': 6655, 'center_order': 11, 'counter': 50, 'cyclotomic_n': 55, 'dim': 11, 'faithful': True, 'field': [1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': None, 'image_order': 73205, 'indicator': 0, 'kernel': '73205.a1.a1', 'kernel_order': 1, 'label': '73205.j.11b11', 'nt': [605, 0], 'q_character': None, 'values': [[[11, 0]], [[1, -22]], [[1, 22]], [[1, 11]], [[1, -11]], [[11, 15]], [[11, -25]], [[11, -20]], [[11, -5]], [[11, -10]], [[11, -15]], [[11, 25]], [[11, 5]], [[11, 10]], [[11, 20]], [[2, 0], [-2, 1], [-2, 6], [2, 10], [-2, 12], [1, 15], [-2, 17], [-2, 23], [2, 25], [-2, -27], [-2, -21], [-2, -16]], [[-2, 1], [2, 5], [-1, 6], [-2, 12], [-1, 17], [-2, 23], [2, 25], [-1, -27], [2, -25], [-2, -21], [2, -20], [-1, -16]], [[1, 5], [-2, 6], [2, 10], [-2, 17], [2, 20], [2, 25], [-2, -27], [2, -25], [-2, -16]], [[-2, 0], [-1, 10], [-2, 15], [-2, 25], [-2, -25], [-2, -20]], [[0, 0]], [[2, 1], [-2, 10], [2, 12], [-2, 15], [-2, 20], [2, 23], [-2, -25], [2, -21], [-1, -20]], [[2, 1], [-2, 5], [1, 6], [2, 12], [1, 17], [2, 23], [-2, 25], [1, -27], [-2, -25], [2, -21], [-2, -20], [1, -16]], [[1, 0], [-2, 1], [2, 5], [-2, 12], [2, 15], [2, 20], [-2, 23], [2, 25], [-2, -21]], [[1, 0], [-1, 1], [1, 5], [1, 6], [1, 10], [-1, 12], [-1, 15], [1, 17], [-1, 20], [-1, 23], [-1, 25], [1, -27], [1, -25], [-1, -21], [-1, -20], [1, -16]], [[1, 1], [-2, 5], [2, 6], [-2, 10], [1, 12], [-2, 15], [2, 17], [1, 23], [2, -27], [1, -21], [-2, -20], [2, -16]], [[-2, 0], [-2, 5], [-2, 10], [-2, 20], [-1, 25], [-2, -20]], [[-1, 0], [1, 1], [-1, 5], [-1, 6], [-1, 10], [1, 12], [1, 15], [-1, 17], [1, 20], [1, 23], [1, 25], [-1, -27], [-1, -25], [1, -21], [1, -20], [-1, -16]], [[2, 0], [1, 10], [2, 15], [2, 25], [2, -25], [2, -20]], [[-2, 0], [-2, 5], [2, 6], [-2, 15], [2, 17], [-1, 20], [2, -27], [-2, -25], [2, -16]], [[0, 0]], [[2, 0], [2, 5], [2, 10], [2, 20], [1, 25], [2, -20]], [[-1, 1], [2, 5], [-2, 6], [2, 10], [-1, 12], [2, 15], [-2, 17], [-1, 23], [-2, -27], [-1, -21], [2, -20], [-2, -16]], [[-2, 1], [2, 10], [-2, 12], [2, 15], [2, 20], [-2, 23], [2, -25], [-2, -21], [1, -20]], [[-1, 0], [2, 1], [-2, 5], [2, 12], [-2, 15], [-2, 20], [2, 23], [-2, 25], [2, -21]], [[-2, 0], [2, 1], [2, 6], [-2, 10], [2, 12], [-1, 15], [2, 17], [2, 23], [-2, 25], [2, -27], [2, -21], [2, -16]], [[2, 0], [2, 5], [-2, 6], [2, 15], [-2, 17], [1, 20], [-2, -27], [2, -25], [-2, -16]], [[-1, 5], [2, 6], [-2, 10], [2, 17], [-2, 20], [-2, 25], [2, -27], [-2, -25], [2, -16]], [[-2, 0], [2, 1], [2, 6], [2, 12], [2, 17], [-2, 20], [2, 23], [2, -27], [-1, -25], [2, -21], [-2, -20], [2, -16]], [[2, 0], [-2, 1], [-2, 6], [-2, 12], [-2, 17], [2, 20], [-2, 23], [-2, -27], [1, -25], [-2, -21], [2, -20], [-2, -16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 14]], [[1, -7]], [[1, -9]], [[1, 13]], [[1, -6]], [[1, 2]], [[1, 12]], [[1, 3]], [[1, -4]], [[1, 18]], [[1, 19]], [[1, -3]], [[1, 17]], [[1, 9]], [[1, -2]], [[1, -24]], [[1, 8]], [[1, -1]], [[1, -19]], [[1, -16]], [[1, 23]], [[1, 16]], [[1, -17]], [[1, 24]], [[1, -23]], [[1, -18]], [[1, 4]], [[1, 1]], [[1, 26]], [[1, -8]], [[1, 27]], [[1, -13]], [[1, -21]], [[1, -27]], [[1, 6]], [[1, -14]], [[1, -26]], [[1, 7]], [[1, 21]], [[1, -12]]]}
-
id: 7797906
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id: 7797907
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id: 7797908
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id: 7797909
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id: 7797910
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-
id: 7797911
{'center': '6655.a1.a1', 'center_index': 6655, 'center_order': 11, 'counter': 56, 'cyclotomic_n': 55, 'dim': 11, 'faithful': True, 'field': [1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': None, 'image_order': 73205, 'indicator': 0, 'kernel': '73205.a1.a1', 'kernel_order': 1, 'label': '73205.j.11b17', 'nt': [605, 0], 'q_character': None, 'values': [[[11, 0]], [[1, -22]], [[1, 22]], [[1, 11]], [[1, -11]], [[11, -5]], [[11, -10]], [[11, 25]], [[11, 20]], [[11, -15]], [[11, 5]], [[11, 10]], [[11, -20]], [[11, 15]], [[11, -25]], [[2, 1], [-2, 5], [1, 6], [2, 12], [1, 17], [2, 23], [-2, 25], [1, -27], [-2, -25], [2, -21], [-2, -20], [1, -16]], [[-2, 0], [-2, 5], [2, 6], [-2, 15], [2, 17], [-1, 20], [2, -27], [-2, -25], [2, -16]], [[-2, 1], [2, 10], [-2, 12], [2, 15], [2, 20], [-2, 23], [2, -25], [-2, -21], [1, -20]], [[-2, 0], [2, 1], [2, 6], [-2, 10], [2, 12], [-1, 15], [2, 17], [2, 23], [-2, 25], [2, -27], [2, -21], [2, -16]], [[0, 0]], [[2, 0], [2, 5], [2, 10], [2, 20], [1, 25], [2, -20]], [[2, 0], [2, 5], [-2, 6], [2, 15], [-2, 17], [1, 20], [-2, -27], [2, -25], [-2, -16]], [[-1, 0], [2, 1], [-2, 5], [2, 12], [-2, 15], [-2, 20], [2, 23], [-2, 25], [2, -21]], [[-1, 5], [2, 6], [-2, 10], [2, 17], [-2, 20], [-2, 25], [2, -27], [-2, -25], [2, -16]], [[1, 0], [-1, 1], [1, 5], [1, 6], [1, 10], [-1, 12], [-1, 15], [1, 17], [-1, 20], [-1, 23], [-1, 25], [1, -27], [1, -25], [-1, -21], [-1, -20], [1, -16]], [[-2, 0], [-1, 10], [-2, 15], [-2, 25], [-2, -25], [-2, -20]], [[1, 5], [-2, 6], [2, 10], [-2, 17], [2, 20], [2, 25], [-2, -27], [2, -25], [-2, -16]], [[2, 0], [-2, 1], [-2, 6], [2, 10], [-2, 12], [1, 15], [-2, 17], [-2, 23], [2, 25], [-2, -27], [-2, -21], [-2, -16]], [[-2, 0], [2, 1], [2, 6], [2, 12], [2, 17], [-2, 20], [2, 23], [2, -27], [-1, -25], [2, -21], [-2, -20], [2, -16]], [[0, 0]], [[2, 0], [1, 10], [2, 15], [2, 25], [2, -25], [2, -20]], [[-1, 0], [1, 1], [-1, 5], [-1, 6], [-1, 10], [1, 12], [1, 15], [-1, 17], [1, 20], [1, 23], [1, 25], [-1, -27], [-1, -25], [1, -21], [1, -20], [-1, -16]], [[-2, 0], [-2, 5], [-2, 10], [-2, 20], [-1, 25], [-2, -20]], [[1, 0], [-2, 1], [2, 5], [-2, 12], [2, 15], [2, 20], [-2, 23], [2, 25], [-2, -21]], [[-2, 1], [2, 5], [-1, 6], [-2, 12], [-1, 17], [-2, 23], [2, 25], [-1, -27], [2, -25], [-2, -21], [2, -20], [-1, -16]], [[2, 0], [-2, 1], [-2, 6], [-2, 12], [-2, 17], [2, 20], [-2, 23], [-2, -27], [1, -25], [-2, -21], [2, -20], [-2, -16]], [[2, 1], [-2, 10], [2, 12], [-2, 15], [-2, 20], [2, 23], [-2, -25], [2, -21], [-1, -20]], [[-1, 1], [2, 5], [-2, 6], [2, 10], [-1, 12], [2, 15], [-2, 17], [-1, 23], [-2, -27], [-1, -21], [2, -20], [-2, -16]], [[1, 1], [-2, 5], [2, 6], [-2, 10], [1, 12], [-2, 15], [2, 17], [1, 23], [2, -27], [1, -21], [-2, -20], [2, -16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -1]], [[1, -27]], [[1, -19]], [[1, 3]], [[1, 24]], [[1, -8]], [[1, 7]], [[1, -12]], [[1, 16]], [[1, -17]], [[1, -21]], [[1, 12]], [[1, -13]], [[1, 19]], [[1, 8]], [[1, -14]], [[1, 23]], [[1, 4]], [[1, 21]], [[1, 9]], [[1, 18]], [[1, -9]], [[1, 13]], [[1, 14]], [[1, -18]], [[1, 17]], [[1, -16]], [[1, -4]], [[1, 6]], [[1, -23]], [[1, 2]], [[1, -3]], [[1, -26]], [[1, -2]], [[1, -24]], [[1, 1]], [[1, -6]], [[1, 27]], [[1, 26]], [[1, -7]]]}
-
id: 7797912
{'center': '6655.a1.a1', 'center_index': 6655, 'center_order': 11, 'counter': 57, 'cyclotomic_n': 55, 'dim': 11, 'faithful': True, 'field': [1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': None, 'image_order': 73205, 'indicator': 0, 'kernel': '73205.a1.a1', 'kernel_order': 1, 'label': '73205.j.11b18', 'nt': [605, 40], 'q_character': None, 'values': [[[11, 0]], [[1, 22]], [[1, -22]], [[1, -11]], [[1, 11]], [[11, 5]], [[11, 10]], [[11, -25]], [[11, -20]], [[11, 15]], [[11, -5]], [[11, -10]], [[11, 20]], [[11, -15]], [[11, 25]], [[-1, 5], [2, 6], [-2, 10], [2, 17], [-2, 20], [-2, 25], [2, -27], [-2, -25], [2, -16]], [[-2, 1], [2, 10], [-2, 12], [2, 15], [2, 20], [-2, 23], [2, -25], [-2, -21], [1, -20]], [[-2, 0], [-2, 5], [2, 6], [-2, 15], [2, 17], [-1, 20], [2, -27], [-2, -25], [2, -16]], [[-1, 0], [1, 1], [-1, 5], [-1, 6], [-1, 10], [1, 12], [1, 15], [-1, 17], [1, 20], [1, 23], [1, 25], [-1, -27], [-1, -25], [1, -21], [1, -20], [-1, -16]], [[0, 0]], [[2, 0], [-2, 1], [-2, 6], [-2, 12], [-2, 17], [2, 20], [-2, 23], [-2, -27], [1, -25], [-2, -21], [2, -20], [-2, -16]], [[2, 1], [-2, 10], [2, 12], [-2, 15], [-2, 20], [2, 23], [-2, -25], [2, -21], [-1, -20]], [[1, 0], [-2, 1], [2, 5], [-2, 12], [2, 15], [2, 20], [-2, 23], [2, 25], [-2, -21]], [[2, 1], [-2, 5], [1, 6], [2, 12], [1, 17], [2, 23], [-2, 25], [1, -27], [-2, -25], [2, -21], [-2, -20], [1, -16]], [[2, 0], [-2, 1], [-2, 6], [2, 10], [-2, 12], [1, 15], [-2, 17], [-2, 23], [2, 25], [-2, -27], [-2, -21], [-2, -16]], [[-1, 1], [2, 5], [-2, 6], [2, 10], [-1, 12], [2, 15], [-2, 17], [-1, 23], [-2, -27], [-1, -21], [2, -20], [-2, -16]], [[-2, 1], [2, 5], [-1, 6], [-2, 12], [-1, 17], [-2, 23], [2, 25], [-1, -27], [2, -25], [-2, -21], [2, -20], [-1, -16]], [[1, 0], [-1, 1], [1, 5], [1, 6], [1, 10], [-1, 12], [-1, 15], [1, 17], [-1, 20], [-1, 23], [-1, 25], [1, -27], [1, -25], [-1, -21], [-1, -20], [1, -16]], [[-2, 0], [-2, 5], [-2, 10], [-2, 20], [-1, 25], [-2, -20]], [[0, 0]], [[1, 1], [-2, 5], [2, 6], [-2, 10], [1, 12], [-2, 15], [2, 17], [1, 23], [2, -27], [1, -21], [-2, -20], [2, -16]], [[-2, 0], [2, 1], [2, 6], [-2, 10], [2, 12], [-1, 15], [2, 17], [2, 23], [-2, 25], [2, -27], [2, -21], [2, -16]], [[-2, 0], [2, 1], [2, 6], [2, 12], [2, 17], [-2, 20], [2, 23], [2, -27], [-1, -25], [2, -21], [-2, -20], [2, -16]], [[-1, 0], [2, 1], [-2, 5], [2, 12], [-2, 15], [-2, 20], [2, 23], [-2, 25], [2, -21]], [[1, 5], [-2, 6], [2, 10], [-2, 17], [2, 20], [2, 25], [-2, -27], [2, -25], [-2, -16]], [[2, 0], [2, 5], [2, 10], [2, 20], [1, 25], [2, -20]], [[2, 0], [2, 5], [-2, 6], [2, 15], [-2, 17], [1, 20], [-2, -27], [2, -25], [-2, -16]], [[-2, 0], [-1, 10], [-2, 15], [-2, 25], [-2, -25], [-2, -20]], [[2, 0], [1, 10], [2, 15], [2, 25], [2, -25], [2, -20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 27]], [[1, 19]], [[1, -3]], [[1, -24]], [[1, 8]], [[1, -7]], [[1, 12]], [[1, -16]], [[1, 17]], [[1, 21]], [[1, -12]], [[1, 13]], [[1, -19]], [[1, -8]], [[1, 14]], [[1, -23]], [[1, -4]], [[1, -21]], [[1, -9]], [[1, -18]], [[1, 9]], [[1, -13]], [[1, -14]], [[1, 18]], [[1, -17]], [[1, 16]], [[1, 4]], [[1, -6]], [[1, 23]], [[1, -2]], [[1, 3]], [[1, 26]], [[1, 2]], [[1, 24]], [[1, -1]], [[1, 6]], [[1, -27]], [[1, -26]], [[1, 7]]]}
-
id: 7797913
{'center': '6655.a1.a1', 'center_index': 6655, 'center_order': 11, 'counter': 58, 'cyclotomic_n': 55, 'dim': 11, 'faithful': True, 'field': [1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': None, 'image_order': 73205, 'indicator': 0, 'kernel': '73205.a1.a1', 'kernel_order': 1, 'label': '73205.j.11b19', 'nt': [605, 0], 'q_character': None, 'values': [[[11, 0]], [[1, -22]], [[1, 22]], [[1, 11]], [[1, -11]], [[11, 5]], [[11, 10]], [[11, -25]], [[11, -20]], [[11, 15]], [[11, -5]], [[11, -10]], [[11, 20]], [[11, -15]], [[11, 25]], [[-1, 5], [2, 6], [-2, 10], [2, 17], [-2, 20], [-2, 25], [2, -27], [-2, -25], [2, -16]], [[-2, 1], [2, 10], [-2, 12], [2, 15], [2, 20], [-2, 23], [2, -25], [-2, -21], [1, -20]], [[-2, 0], [-2, 5], [2, 6], [-2, 15], [2, 17], [-1, 20], [2, -27], [-2, -25], [2, -16]], [[-1, 0], [1, 1], [-1, 5], [-1, 6], [-1, 10], [1, 12], [1, 15], [-1, 17], [1, 20], [1, 23], [1, 25], [-1, -27], [-1, -25], [1, -21], [1, -20], [-1, -16]], [[0, 0]], [[2, 0], [-2, 1], [-2, 6], [-2, 12], [-2, 17], [2, 20], [-2, 23], [-2, -27], [1, -25], [-2, -21], [2, -20], [-2, -16]], [[2, 1], [-2, 10], [2, 12], [-2, 15], [-2, 20], [2, 23], [-2, -25], [2, -21], [-1, -20]], [[1, 0], [-2, 1], [2, 5], [-2, 12], [2, 15], [2, 20], [-2, 23], [2, 25], [-2, -21]], [[2, 1], [-2, 5], [1, 6], [2, 12], [1, 17], [2, 23], [-2, 25], [1, -27], [-2, -25], [2, -21], [-2, -20], [1, -16]], [[2, 0], [-2, 1], [-2, 6], [2, 10], [-2, 12], [1, 15], [-2, 17], [-2, 23], [2, 25], [-2, -27], [-2, -21], [-2, -16]], [[-1, 1], [2, 5], [-2, 6], [2, 10], [-1, 12], [2, 15], [-2, 17], [-1, 23], [-2, -27], [-1, -21], [2, -20], [-2, -16]], [[-2, 1], [2, 5], [-1, 6], [-2, 12], [-1, 17], [-2, 23], [2, 25], [-1, -27], [2, -25], [-2, -21], [2, -20], [-1, -16]], [[1, 0], [-1, 1], [1, 5], [1, 6], [1, 10], [-1, 12], [-1, 15], [1, 17], [-1, 20], [-1, 23], [-1, 25], [1, -27], [1, -25], [-1, -21], [-1, -20], [1, -16]], [[-2, 0], [-2, 5], [-2, 10], [-2, 20], [-1, 25], [-2, -20]], [[0, 0]], [[1, 1], [-2, 5], [2, 6], [-2, 10], [1, 12], [-2, 15], [2, 17], [1, 23], [2, -27], [1, -21], [-2, -20], [2, -16]], [[-2, 0], [2, 1], [2, 6], [-2, 10], [2, 12], [-1, 15], [2, 17], [2, 23], [-2, 25], [2, -27], [2, -21], [2, -16]], [[-2, 0], [2, 1], [2, 6], [2, 12], [2, 17], [-2, 20], [2, 23], [2, -27], [-1, -25], [2, -21], [-2, -20], [2, -16]], [[-1, 0], [2, 1], [-2, 5], [2, 12], [-2, 15], [-2, 20], [2, 23], [-2, 25], [2, -21]], [[1, 5], [-2, 6], [2, 10], [-2, 17], [2, 20], [2, 25], [-2, -27], [2, -25], [-2, -16]], [[2, 0], [2, 5], [2, 10], [2, 20], [1, 25], [2, -20]], [[2, 0], [2, 5], [-2, 6], [2, 15], [-2, 17], [1, 20], [-2, -27], [2, -25], [-2, -16]], [[-2, 0], [-1, 10], [-2, 15], [-2, 25], [-2, -25], [-2, -20]], [[2, 0], [1, 10], [2, 15], [2, 25], [2, -25], [2, -20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, -21]], [[1, -17]], [[1, -14]], [[1, 8]], [[1, 9]], [[1, -3]], [[1, -18]], [[1, 23]], [[1, 6]], [[1, -27]], [[1, -1]], [[1, -23]], [[1, 2]], [[1, 14]], [[1, 3]], [[1, -19]], [[1, -12]], [[1, -26]], [[1, 1]], [[1, 24]], [[1, -7]], [[1, -24]], [[1, -2]], [[1, 19]], [[1, 7]], [[1, 27]], [[1, -6]], [[1, 26]], [[1, 16]], [[1, 12]], [[1, -13]], [[1, -8]], [[1, 4]], [[1, 13]], [[1, -9]], [[1, 21]], [[1, -16]], [[1, 17]], [[1, -4]], [[1, 18]]]}
-
id: 7797895
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id: 7797914
{'center': '6655.a1.a1', 'center_index': 6655, 'center_order': 11, 'counter': 59, 'cyclotomic_n': 55, 'dim': 11, 'faithful': True, 'field': [1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': None, 'image_order': 73205, 'indicator': 0, 'kernel': '73205.a1.a1', 'kernel_order': 1, 'label': '73205.j.11b20', 'nt': [605, 40], 'q_character': None, 'values': [[[11, 0]], [[1, 22]], [[1, -22]], [[1, -11]], [[1, 11]], [[11, -5]], [[11, -10]], [[11, 25]], [[11, 20]], [[11, -15]], [[11, 5]], [[11, 10]], [[11, -20]], [[11, 15]], [[11, -25]], [[2, 1], [-2, 5], [1, 6], [2, 12], [1, 17], [2, 23], [-2, 25], [1, -27], [-2, -25], [2, -21], [-2, -20], [1, -16]], [[-2, 0], [-2, 5], [2, 6], [-2, 15], [2, 17], [-1, 20], [2, -27], [-2, -25], [2, -16]], [[-2, 1], [2, 10], [-2, 12], [2, 15], [2, 20], [-2, 23], [2, -25], [-2, -21], [1, -20]], [[-2, 0], [2, 1], [2, 6], [-2, 10], [2, 12], [-1, 15], [2, 17], [2, 23], [-2, 25], [2, -27], [2, -21], [2, -16]], [[0, 0]], [[2, 0], [2, 5], [2, 10], [2, 20], [1, 25], [2, -20]], [[2, 0], [2, 5], [-2, 6], [2, 15], [-2, 17], [1, 20], [-2, -27], [2, -25], [-2, -16]], [[-1, 0], [2, 1], [-2, 5], [2, 12], [-2, 15], [-2, 20], [2, 23], [-2, 25], [2, -21]], [[-1, 5], [2, 6], [-2, 10], [2, 17], [-2, 20], [-2, 25], [2, -27], [-2, -25], [2, -16]], [[1, 0], [-1, 1], [1, 5], [1, 6], [1, 10], [-1, 12], [-1, 15], [1, 17], [-1, 20], [-1, 23], [-1, 25], [1, -27], [1, -25], [-1, -21], [-1, -20], [1, -16]], [[-2, 0], [-1, 10], [-2, 15], [-2, 25], [-2, -25], [-2, -20]], [[1, 5], [-2, 6], [2, 10], [-2, 17], [2, 20], [2, 25], [-2, -27], [2, -25], [-2, -16]], [[2, 0], [-2, 1], [-2, 6], [2, 10], [-2, 12], [1, 15], [-2, 17], [-2, 23], [2, 25], [-2, -27], [-2, -21], [-2, -16]], [[-2, 0], [2, 1], [2, 6], [2, 12], [2, 17], [-2, 20], [2, 23], [2, -27], [-1, -25], [2, -21], [-2, -20], [2, -16]], [[0, 0]], [[2, 0], [1, 10], [2, 15], [2, 25], [2, -25], [2, -20]], [[-1, 0], [1, 1], [-1, 5], [-1, 6], [-1, 10], [1, 12], [1, 15], [-1, 17], [1, 20], [1, 23], [1, 25], [-1, -27], [-1, -25], [1, -21], [1, -20], [-1, -16]], [[-2, 0], [-2, 5], [-2, 10], [-2, 20], [-1, 25], [-2, -20]], [[1, 0], [-2, 1], [2, 5], [-2, 12], [2, 15], [2, 20], [-2, 23], [2, 25], [-2, -21]], [[-2, 1], [2, 5], [-1, 6], [-2, 12], [-1, 17], [-2, 23], [2, 25], [-1, -27], [2, -25], [-2, -21], [2, -20], [-1, -16]], [[2, 0], [-2, 1], [-2, 6], [-2, 12], [-2, 17], [2, 20], [-2, 23], [-2, -27], [1, -25], [-2, -21], [2, -20], [-2, -16]], [[2, 1], [-2, 10], [2, 12], [-2, 15], [-2, 20], [2, 23], [-2, -25], [2, -21], [-1, -20]], [[-1, 1], [2, 5], [-2, 6], [2, 10], [-1, 12], [2, 15], [-2, 17], [-1, 23], [-2, -27], [-1, -21], [2, -20], [-2, -16]], [[1, 1], [-2, 5], [2, 6], [-2, 10], [1, 12], [-2, 15], [2, 17], [1, 23], [2, -27], [1, -21], [-2, -20], [2, -16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 21]], [[1, 17]], [[1, 14]], [[1, -8]], [[1, -9]], [[1, 3]], [[1, 18]], [[1, -23]], [[1, -6]], [[1, 27]], [[1, 1]], [[1, 23]], [[1, -2]], [[1, -14]], [[1, -3]], [[1, 19]], [[1, 12]], [[1, 26]], [[1, -1]], [[1, -24]], [[1, 7]], [[1, 24]], [[1, 2]], [[1, -19]], [[1, -7]], [[1, -27]], [[1, 6]], [[1, -26]], [[1, -16]], [[1, -12]], [[1, 13]], [[1, 8]], [[1, -4]], [[1, -13]], [[1, 9]], [[1, -21]], [[1, 16]], [[1, -17]], [[1, 4]], [[1, -18]]]}
-
id: 7797916
{'center': '6655.a1.a1', 'center_index': 6655, 'center_order': 11, 'counter': 60, 'cyclotomic_n': 55, 'dim': 11, 'faithful': True, 'field': [1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': None, 'image_order': 73205, 'indicator': 0, 'kernel': '73205.a1.a1', 'kernel_order': 1, 'label': '73205.j.11b21', 'nt': [605, 0], 'q_character': None, 'values': [[[11, 0]], [[1, -11]], [[1, 11]], [[1, -22]], [[1, 22]], [[11, -25]], [[11, 5]], [[11, 15]], [[11, -10]], [[11, -20]], [[11, 25]], [[11, -5]], [[11, 10]], [[11, 20]], [[11, -15]], [[2, 0], [-2, 1], [-2, 6], [-2, 12], [-2, 17], [2, 20], [-2, 23], [-2, -27], [1, -25], [-2, -21], [2, -20], [-2, -16]], [[-1, 1], [2, 5], [-2, 6], [2, 10], [-1, 12], [2, 15], [-2, 17], [-1, 23], [-2, -27], [-1, -21], [2, -20], [-2, -16]], [[-2, 0], [-1, 10], [-2, 15], [-2, 25], [-2, -25], [-2, -20]], [[-2, 0], [-2, 5], [2, 6], [-2, 15], [2, 17], [-1, 20], [2, -27], [-2, -25], [2, -16]], [[0, 0]], [[2, 0], [-2, 1], [-2, 6], [2, 10], [-2, 12], [1, 15], [-2, 17], [-2, 23], [2, 25], [-2, -27], [-2, -21], [-2, -16]], [[1, 1], [-2, 5], [2, 6], [-2, 10], [1, 12], [-2, 15], [2, 17], [1, 23], [2, -27], [1, -21], [-2, -20], [2, -16]], [[-1, 0], [2, 1], [-2, 5], [2, 12], [-2, 15], [-2, 20], [2, 23], [-2, 25], [2, -21]], [[2, 0], [2, 5], [2, 10], [2, 20], [1, 25], [2, -20]], [[2, 1], [-2, 10], [2, 12], [-2, 15], [-2, 20], [2, 23], [-2, -25], [2, -21], [-1, -20]], [[-2, 1], [2, 5], [-1, 6], [-2, 12], [-1, 17], [-2, 23], [2, 25], [-1, -27], [2, -25], [-2, -21], [2, -20], [-1, -16]], [[-2, 0], [-2, 5], [-2, 10], [-2, 20], [-1, 25], [-2, -20]], [[2, 0], [2, 5], [-2, 6], [2, 15], [-2, 17], [1, 20], [-2, -27], [2, -25], [-2, -16]], [[-1, 0], [1, 1], [-1, 5], [-1, 6], [-1, 10], [1, 12], [1, 15], [-1, 17], [1, 20], [1, 23], [1, 25], [-1, -27], [-1, -25], [1, -21], [1, -20], [-1, -16]], [[0, 0]], [[2, 1], [-2, 5], [1, 6], [2, 12], [1, 17], [2, 23], [-2, 25], [1, -27], [-2, -25], [2, -21], [-2, -20], [1, -16]], [[-2, 1], [2, 10], [-2, 12], [2, 15], [2, 20], [-2, 23], [2, -25], [-2, -21], [1, -20]], [[-2, 0], [2, 1], [2, 6], [-2, 10], [2, 12], [-1, 15], [2, 17], [2, 23], [-2, 25], [2, -27], [2, -21], [2, -16]], [[1, 0], [-2, 1], [2, 5], [-2, 12], [2, 15], [2, 20], [-2, 23], [2, 25], [-2, -21]], [[-2, 0], [2, 1], [2, 6], [2, 12], [2, 17], [-2, 20], [2, 23], [2, -27], [-1, -25], [2, -21], [-2, -20], [2, -16]], [[1, 0], [-1, 1], [1, 5], [1, 6], [1, 10], [-1, 12], [-1, 15], [1, 17], [-1, 20], [-1, 23], [-1, 25], [1, -27], [1, -25], [-1, -21], [-1, -20], [1, -16]], [[2, 0], [1, 10], [2, 15], [2, 25], [2, -25], [2, -20]], [[1, 5], [-2, 6], [2, 10], [-2, 17], [2, 20], [2, 25], [-2, -27], [2, -25], [-2, -16]], [[-1, 5], [2, 6], [-2, 10], [2, 17], [-2, 20], [-2, 25], [2, -27], [-2, -25], [2, -16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 17]], [[1, 19]], [[1, -7]], [[1, 4]], [[1, -23]], [[1, 26]], [[1, -9]], [[1, -16]], [[1, 3]], [[1, 14]], [[1, 27]], [[1, 16]], [[1, 1]], [[1, 7]], [[1, -26]], [[1, 18]], [[1, -6]], [[1, -13]], [[1, -27]], [[1, 12]], [[1, 24]], [[1, -12]], [[1, -1]], [[1, -18]], [[1, -24]], [[1, -14]], [[1, -3]], [[1, 13]], [[1, 8]], [[1, 6]], [[1, 21]], [[1, -4]], [[1, 2]], [[1, -21]], [[1, 23]], [[1, -17]], [[1, -8]], [[1, -19]], [[1, -2]], [[1, 9]]]}
-
id: 7797917
{'center': '6655.a1.a1', 'center_index': 6655, 'center_order': 11, 'counter': 61, 'cyclotomic_n': 55, 'dim': 11, 'faithful': True, 'field': [1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': None, 'image_order': 73205, 'indicator': 0, 'kernel': '73205.a1.a1', 'kernel_order': 1, 'label': '73205.j.11b22', 'nt': [605, 40], 'q_character': None, 'values': [[[11, 0]], [[1, 11]], [[1, -11]], [[1, 22]], [[1, -22]], [[11, 25]], [[11, -5]], [[11, -15]], [[11, 10]], [[11, 20]], [[11, -25]], [[11, 5]], [[11, -10]], [[11, -20]], [[11, 15]], [[2, 0], [2, 5], [2, 10], [2, 20], [1, 25], [2, -20]], [[-2, 0], [-1, 10], [-2, 15], [-2, 25], [-2, -25], [-2, -20]], [[-1, 1], [2, 5], [-2, 6], [2, 10], [-1, 12], [2, 15], [-2, 17], [-1, 23], [-2, -27], [-1, -21], [2, -20], [-2, -16]], [[-2, 1], [2, 10], [-2, 12], [2, 15], [2, 20], [-2, 23], [2, -25], [-2, -21], [1, -20]], [[0, 0]], [[1, 0], [-1, 1], [1, 5], [1, 6], [1, 10], [-1, 12], [-1, 15], [1, 17], [-1, 20], [-1, 23], [-1, 25], [1, -27], [1, -25], [-1, -21], [-1, -20], [1, -16]], [[2, 0], [1, 10], [2, 15], [2, 25], [2, -25], [2, -20]], [[1, 0], [-2, 1], [2, 5], [-2, 12], [2, 15], [2, 20], [-2, 23], [2, 25], [-2, -21]], [[2, 0], [-2, 1], [-2, 6], [-2, 12], [-2, 17], [2, 20], [-2, 23], [-2, -27], [1, -25], [-2, -21], [2, -20], [-2, -16]], [[2, 0], [2, 5], [-2, 6], [2, 15], [-2, 17], [1, 20], [-2, -27], [2, -25], [-2, -16]], [[1, 5], [-2, 6], [2, 10], [-2, 17], [2, 20], [2, 25], [-2, -27], [2, -25], [-2, -16]], [[-2, 0], [2, 1], [2, 6], [2, 12], [2, 17], [-2, 20], [2, 23], [2, -27], [-1, -25], [2, -21], [-2, -20], [2, -16]], [[2, 1], [-2, 10], [2, 12], [-2, 15], [-2, 20], [2, 23], [-2, -25], [2, -21], [-1, -20]], [[-2, 0], [2, 1], [2, 6], [-2, 10], [2, 12], [-1, 15], [2, 17], [2, 23], [-2, 25], [2, -27], [2, -21], [2, -16]], [[0, 0]], [[-1, 5], [2, 6], [-2, 10], [2, 17], [-2, 20], [-2, 25], [2, -27], [-2, -25], [2, -16]], [[-2, 0], [-2, 5], [2, 6], [-2, 15], [2, 17], [-1, 20], [2, -27], [-2, -25], [2, -16]], [[-1, 0], [1, 1], [-1, 5], [-1, 6], [-1, 10], [1, 12], [1, 15], [-1, 17], [1, 20], [1, 23], [1, 25], [-1, -27], [-1, -25], [1, -21], [1, -20], [-1, -16]], [[-1, 0], [2, 1], [-2, 5], [2, 12], [-2, 15], [-2, 20], [2, 23], [-2, 25], [2, -21]], [[-2, 0], [-2, 5], [-2, 10], [-2, 20], [-1, 25], [-2, -20]], [[2, 0], [-2, 1], [-2, 6], [2, 10], [-2, 12], [1, 15], [-2, 17], [-2, 23], [2, 25], [-2, -27], [-2, -21], [-2, -16]], [[1, 1], [-2, 5], [2, 6], [-2, 10], [1, 12], [-2, 15], [2, 17], [1, 23], [2, -27], [1, -21], [-2, -20], [2, -16]], [[-2, 1], [2, 5], [-1, 6], [-2, 12], [-1, 17], [-2, 23], [2, 25], [-1, -27], [2, -25], [-2, -21], [2, -20], [-1, -16]], [[2, 1], [-2, 5], [1, 6], [2, 12], [1, 17], [2, 23], [-2, 25], [1, -27], [-2, -25], [2, -21], [-2, -20], [1, -16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -17]], [[1, -19]], [[1, 7]], [[1, -4]], [[1, 23]], [[1, -26]], [[1, 9]], [[1, 16]], [[1, -3]], [[1, -14]], [[1, -27]], [[1, -16]], [[1, -1]], [[1, -7]], [[1, 26]], [[1, -18]], [[1, 6]], [[1, 13]], [[1, 27]], [[1, -12]], [[1, -24]], [[1, 12]], [[1, 1]], [[1, 18]], [[1, 24]], [[1, 14]], [[1, 3]], [[1, -13]], [[1, -8]], [[1, -6]], [[1, -21]], [[1, 4]], [[1, -2]], [[1, 21]], [[1, -23]], [[1, 17]], [[1, 8]], [[1, 19]], [[1, 2]], [[1, -9]]]}
-
id: 7797918
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-
id: 7797919
{'center': '6655.a1.a1', 'center_index': 6655, 'center_order': 11, 'counter': 63, 'cyclotomic_n': 55, 'dim': 11, 'faithful': True, 'field': [1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': None, 'image_order': 73205, 'indicator': 0, 'kernel': '73205.a1.a1', 'kernel_order': 1, 'label': '73205.j.11b24', 'nt': [605, 40], 'q_character': None, 'values': [[[11, 0]], [[1, 11]], [[1, -11]], [[1, 22]], [[1, -22]], [[11, -25]], [[11, 5]], [[11, 15]], [[11, -10]], [[11, -20]], [[11, 25]], [[11, -5]], [[11, 10]], [[11, 20]], [[11, -15]], [[2, 0], [-2, 1], [-2, 6], [-2, 12], [-2, 17], [2, 20], [-2, 23], [-2, -27], [1, -25], [-2, -21], [2, -20], [-2, -16]], [[-1, 1], [2, 5], [-2, 6], [2, 10], [-1, 12], [2, 15], [-2, 17], [-1, 23], [-2, -27], [-1, -21], [2, -20], [-2, -16]], [[-2, 0], [-1, 10], [-2, 15], [-2, 25], [-2, -25], [-2, -20]], [[-2, 0], [-2, 5], [2, 6], [-2, 15], [2, 17], [-1, 20], [2, -27], [-2, -25], [2, -16]], [[0, 0]], [[2, 0], [-2, 1], [-2, 6], [2, 10], [-2, 12], [1, 15], [-2, 17], [-2, 23], [2, 25], [-2, -27], [-2, -21], [-2, -16]], [[1, 1], [-2, 5], [2, 6], [-2, 10], [1, 12], [-2, 15], [2, 17], [1, 23], [2, -27], [1, -21], [-2, -20], [2, -16]], [[-1, 0], [2, 1], [-2, 5], [2, 12], [-2, 15], [-2, 20], [2, 23], [-2, 25], [2, -21]], [[2, 0], [2, 5], [2, 10], [2, 20], [1, 25], [2, -20]], [[2, 1], [-2, 10], [2, 12], [-2, 15], [-2, 20], [2, 23], [-2, -25], [2, -21], [-1, -20]], [[-2, 1], [2, 5], [-1, 6], [-2, 12], [-1, 17], [-2, 23], [2, 25], [-1, -27], [2, -25], [-2, -21], [2, -20], [-1, -16]], [[-2, 0], [-2, 5], [-2, 10], [-2, 20], [-1, 25], [-2, -20]], [[2, 0], [2, 5], [-2, 6], [2, 15], [-2, 17], [1, 20], [-2, -27], [2, -25], [-2, -16]], [[-1, 0], [1, 1], [-1, 5], [-1, 6], [-1, 10], [1, 12], [1, 15], [-1, 17], [1, 20], [1, 23], [1, 25], [-1, -27], [-1, -25], [1, -21], [1, -20], [-1, -16]], [[0, 0]], [[2, 1], [-2, 5], [1, 6], [2, 12], [1, 17], [2, 23], [-2, 25], [1, -27], [-2, -25], [2, -21], [-2, -20], [1, -16]], [[-2, 1], [2, 10], [-2, 12], [2, 15], [2, 20], [-2, 23], [2, -25], [-2, -21], [1, -20]], [[-2, 0], [2, 1], [2, 6], [-2, 10], [2, 12], [-1, 15], [2, 17], [2, 23], [-2, 25], [2, -27], [2, -21], [2, -16]], [[1, 0], [-2, 1], [2, 5], [-2, 12], [2, 15], [2, 20], [-2, 23], [2, 25], [-2, -21]], [[-2, 0], [2, 1], [2, 6], [2, 12], [2, 17], [-2, 20], [2, 23], [2, -27], [-1, -25], [2, -21], [-2, -20], [2, -16]], [[1, 0], [-1, 1], [1, 5], [1, 6], [1, 10], [-1, 12], [-1, 15], [1, 17], [-1, 20], [-1, 23], [-1, 25], [1, -27], [1, -25], [-1, -21], [-1, -20], [1, -16]], [[2, 0], [1, 10], [2, 15], [2, 25], [2, -25], [2, -20]], [[1, 5], [-2, 6], [2, 10], [-2, 17], [2, 20], [2, 25], [-2, -27], [2, -25], [-2, -16]], [[-1, 5], [2, 6], [-2, 10], [2, 17], [-2, 20], [-2, 25], [2, -27], [-2, -25], [2, -16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -27]], [[1, -14]], [[1, -18]], [[1, 26]], [[1, -12]], [[1, 4]], [[1, 24]], [[1, 6]], [[1, -8]], [[1, -19]], [[1, -17]], [[1, -6]], [[1, -21]], [[1, 18]], [[1, -4]], [[1, 7]], [[1, 16]], [[1, -2]], [[1, 17]], [[1, 23]], [[1, -9]], [[1, -23]], [[1, 21]], [[1, -7]], [[1, 9]], [[1, 19]], [[1, 8]], [[1, 2]], [[1, -3]], [[1, -16]], [[1, -1]], [[1, -26]], [[1, 13]], [[1, 1]], [[1, 12]], [[1, 27]], [[1, 3]], [[1, 14]], [[1, -13]], [[1, -24]]]}
-
id: 7797920
{'center': '6655.a1.a1', 'center_index': 6655, 'center_order': 11, 'counter': 64, 'cyclotomic_n': 55, 'dim': 11, 'faithful': True, 'field': [1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': None, 'image_order': 73205, 'indicator': 0, 'kernel': '73205.a1.a1', 'kernel_order': 1, 'label': '73205.j.11b25', 'nt': [605, 0], 'q_character': None, 'values': [[[11, 0]], [[1, -11]], [[1, 11]], [[1, -22]], [[1, 22]], [[11, -20]], [[11, 15]], [[11, -10]], [[11, 25]], [[11, -5]], [[11, 20]], [[11, -15]], [[11, -25]], [[11, 5]], [[11, 10]], [[2, 1], [-2, 10], [2, 12], [-2, 15], [-2, 20], [2, 23], [-2, -25], [2, -21], [-1, -20]], [[-2, 0], [-2, 5], [-2, 10], [-2, 20], [-1, 25], [-2, -20]], [[-2, 0], [2, 1], [2, 6], [2, 12], [2, 17], [-2, 20], [2, 23], [2, -27], [-1, -25], [2, -21], [-2, -20], [2, -16]], [[1, 5], [-2, 6], [2, 10], [-2, 17], [2, 20], [2, 25], [-2, -27], [2, -25], [-2, -16]], [[0, 0]], [[1, 1], [-2, 5], [2, 6], [-2, 10], [1, 12], [-2, 15], [2, 17], [1, 23], [2, -27], [1, -21], [-2, -20], [2, -16]], [[2, 0], [2, 5], [2, 10], [2, 20], [1, 25], [2, -20]], [[-1, 0], [2, 1], [-2, 5], [2, 12], [-2, 15], [-2, 20], [2, 23], [-2, 25], [2, -21]], [[2, 0], [2, 5], [-2, 6], [2, 15], [-2, 17], [1, 20], [-2, -27], [2, -25], [-2, -16]], [[2, 1], [-2, 5], [1, 6], [2, 12], [1, 17], [2, 23], [-2, 25], [1, -27], [-2, -25], [2, -21], [-2, -20], [1, -16]], [[-1, 0], [1, 1], [-1, 5], [-1, 6], [-1, 10], [1, 12], [1, 15], [-1, 17], [1, 20], [1, 23], [1, 25], [-1, -27], [-1, -25], [1, -21], [1, -20], [-1, -16]], [[-2, 0], [-2, 5], [2, 6], [-2, 15], [2, 17], [-1, 20], [2, -27], [-2, -25], [2, -16]], [[-1, 5], [2, 6], [-2, 10], [2, 17], [-2, 20], [-2, 25], [2, -27], [-2, -25], [2, -16]], [[-2, 0], [-1, 10], [-2, 15], [-2, 25], [-2, -25], [-2, -20]], [[0, 0]], [[1, 0], [-1, 1], [1, 5], [1, 6], [1, 10], [-1, 12], [-1, 15], [1, 17], [-1, 20], [-1, 23], [-1, 25], [1, -27], [1, -25], [-1, -21], [-1, -20], [1, -16]], [[-2, 1], [2, 5], [-1, 6], [-2, 12], [-1, 17], [-2, 23], [2, 25], [-1, -27], [2, -25], [-2, -21], [2, -20], [-1, -16]], [[-1, 1], [2, 5], [-2, 6], [2, 10], [-1, 12], [2, 15], [-2, 17], [-1, 23], [-2, -27], [-1, -21], [2, -20], [-2, -16]], [[1, 0], [-2, 1], [2, 5], [-2, 12], [2, 15], [2, 20], [-2, 23], [2, 25], [-2, -21]], [[-2, 1], [2, 10], [-2, 12], [2, 15], [2, 20], [-2, 23], [2, -25], [-2, -21], [1, -20]], [[2, 0], [1, 10], [2, 15], [2, 25], [2, -25], [2, -20]], [[2, 0], [-2, 1], [-2, 6], [-2, 12], [-2, 17], [2, 20], [-2, 23], [-2, -27], [1, -25], [-2, -21], [2, -20], [-2, -16]], [[-2, 0], [2, 1], [2, 6], [-2, 10], [2, 12], [-1, 15], [2, 17], [2, 23], [-2, 25], [2, -27], [2, -21], [2, -16]], [[2, 0], [-2, 1], [-2, 6], [2, 10], [-2, 12], [1, 15], [-2, 17], [-2, 23], [2, 25], [-2, -27], [-2, -21], [-2, -16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 7]], [[1, 24]], [[1, 23]], [[1, -21]], [[1, -3]], [[1, 1]], [[1, 6]], [[1, -26]], [[1, -2]], [[1, 9]], [[1, -18]], [[1, 26]], [[1, -19]], [[1, -23]], [[1, -1]], [[1, -12]], [[1, 4]], [[1, 27]], [[1, 18]], [[1, -8]], [[1, -16]], [[1, 8]], [[1, 19]], [[1, 12]], [[1, 16]], [[1, -9]], [[1, 2]], [[1, -27]], [[1, 13]], [[1, -4]], [[1, -14]], [[1, 21]], [[1, 17]], [[1, 14]], [[1, 3]], [[1, -7]], [[1, -13]], [[1, -24]], [[1, -17]], [[1, -6]]]}
-
id: 7797921
{'center': '6655.a1.a1', 'center_index': 6655, 'center_order': 11, 'counter': 65, 'cyclotomic_n': 55, 'dim': 11, 'faithful': True, 'field': [1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': None, 'image_order': 73205, 'indicator': 0, 'kernel': '73205.a1.a1', 'kernel_order': 1, 'label': '73205.j.11b26', 'nt': [605, 40], 'q_character': None, 'values': [[[11, 0]], [[1, 11]], [[1, -11]], [[1, 22]], [[1, -22]], [[11, 20]], [[11, -15]], [[11, 10]], [[11, -25]], [[11, 5]], [[11, -20]], [[11, 15]], [[11, 25]], [[11, -5]], [[11, -10]], [[2, 0], [2, 5], [-2, 6], [2, 15], [-2, 17], [1, 20], [-2, -27], [2, -25], [-2, -16]], [[-2, 0], [2, 1], [2, 6], [2, 12], [2, 17], [-2, 20], [2, 23], [2, -27], [-1, -25], [2, -21], [-2, -20], [2, -16]], [[-2, 0], [-2, 5], [-2, 10], [-2, 20], [-1, 25], [-2, -20]], [[-2, 1], [2, 5], [-1, 6], [-2, 12], [-1, 17], [-2, 23], [2, 25], [-1, -27], [2, -25], [-2, -21], [2, -20], [-1, -16]], [[0, 0]], [[2, 0], [1, 10], [2, 15], [2, 25], [2, -25], [2, -20]], [[2, 0], [-2, 1], [-2, 6], [-2, 12], [-2, 17], [2, 20], [-2, 23], [-2, -27], [1, -25], [-2, -21], [2, -20], [-2, -16]], [[1, 0], [-2, 1], [2, 5], [-2, 12], [2, 15], [2, 20], [-2, 23], [2, 25], [-2, -21]], [[2, 1], [-2, 10], [2, 12], [-2, 15], [-2, 20], [2, 23], [-2, -25], [2, -21], [-1, -20]], [[-1, 5], [2, 6], [-2, 10], [2, 17], [-2, 20], [-2, 25], [2, -27], [-2, -25], [2, -16]], [[-2, 0], [2, 1], [2, 6], [-2, 10], [2, 12], [-1, 15], [2, 17], [2, 23], [-2, 25], [2, -27], [2, -21], [2, -16]], [[-2, 1], [2, 10], [-2, 12], [2, 15], [2, 20], [-2, 23], [2, -25], [-2, -21], [1, -20]], [[2, 1], [-2, 5], [1, 6], [2, 12], [1, 17], [2, 23], [-2, 25], [1, -27], [-2, -25], [2, -21], [-2, -20], [1, -16]], [[-1, 1], [2, 5], [-2, 6], [2, 10], [-1, 12], [2, 15], [-2, 17], [-1, 23], [-2, -27], [-1, -21], [2, -20], [-2, -16]], [[0, 0]], [[2, 0], [-2, 1], [-2, 6], [2, 10], [-2, 12], [1, 15], [-2, 17], [-2, 23], [2, 25], [-2, -27], [-2, -21], [-2, -16]], [[1, 5], [-2, 6], [2, 10], [-2, 17], [2, 20], [2, 25], [-2, -27], [2, -25], [-2, -16]], [[-2, 0], [-1, 10], [-2, 15], [-2, 25], [-2, -25], [-2, -20]], [[-1, 0], [2, 1], [-2, 5], [2, 12], [-2, 15], [-2, 20], [2, 23], [-2, 25], [2, -21]], [[-2, 0], [-2, 5], [2, 6], [-2, 15], [2, 17], [-1, 20], [2, -27], [-2, -25], [2, -16]], [[1, 1], [-2, 5], [2, 6], [-2, 10], [1, 12], [-2, 15], [2, 17], [1, 23], [2, -27], [1, -21], [-2, -20], [2, -16]], [[2, 0], [2, 5], [2, 10], [2, 20], [1, 25], [2, -20]], [[-1, 0], [1, 1], [-1, 5], [-1, 6], [-1, 10], [1, 12], [1, 15], [-1, 17], [1, 20], [1, 23], [1, 25], [-1, -27], [-1, -25], [1, -21], [1, -20], [-1, -16]], [[1, 0], [-1, 1], [1, 5], [1, 6], [1, 10], [-1, 12], [-1, 15], [1, 17], [-1, 20], [-1, 23], [-1, 25], [1, -27], [1, -25], [-1, -21], [-1, -20], [1, -16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -7]], [[1, -24]], [[1, -23]], [[1, 21]], [[1, 3]], [[1, -1]], [[1, -6]], [[1, 26]], [[1, 2]], [[1, -9]], [[1, 18]], [[1, -26]], [[1, 19]], [[1, 23]], [[1, 1]], [[1, 12]], [[1, -4]], [[1, -27]], [[1, -18]], [[1, 8]], [[1, 16]], [[1, -8]], [[1, -19]], [[1, -12]], [[1, -16]], [[1, 9]], [[1, -2]], [[1, 27]], [[1, -13]], [[1, 4]], [[1, 14]], [[1, -21]], [[1, -17]], [[1, -14]], [[1, -3]], [[1, 7]], [[1, 13]], [[1, 24]], [[1, 17]], [[1, 6]]]}
-
id: 7797922
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-
id: 7797923
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-
id: 7797924
{'center': '6655.a1.a1', 'center_index': 6655, 'center_order': 11, 'counter': 68, 'cyclotomic_n': 55, 'dim': 11, 'faithful': True, 'field': [1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': None, 'image_order': 73205, 'indicator': 0, 'kernel': '73205.a1.a1', 'kernel_order': 1, 'label': '73205.j.11b29', 'nt': [605, 0], 'q_character': None, 'values': [[[11, 0]], [[1, -11]], [[1, 11]], [[1, -22]], [[1, 22]], [[11, -15]], [[11, 25]], [[11, 20]], [[11, 5]], [[11, 10]], [[11, 15]], [[11, -25]], [[11, -5]], [[11, -10]], [[11, -20]], [[1, 0], [-1, 1], [1, 5], [1, 6], [1, 10], [-1, 12], [-1, 15], [1, 17], [-1, 20], [-1, 23], [-1, 25], [1, -27], [1, -25], [-1, -21], [-1, -20], [1, -16]], [[1, 5], [-2, 6], [2, 10], [-2, 17], [2, 20], [2, 25], [-2, -27], [2, -25], [-2, -16]], [[-2, 1], [2, 5], [-1, 6], [-2, 12], [-1, 17], [-2, 23], [2, 25], [-1, -27], [2, -25], [-2, -21], [2, -20], [-1, -16]], [[-1, 1], [2, 5], [-2, 6], [2, 10], [-1, 12], [2, 15], [-2, 17], [-1, 23], [-2, -27], [-1, -21], [2, -20], [-2, -16]], [[0, 0]], [[2, 0], [2, 5], [-2, 6], [2, 15], [-2, 17], [1, 20], [-2, -27], [2, -25], [-2, -16]], [[-1, 5], [2, 6], [-2, 10], [2, 17], [-2, 20], [-2, 25], [2, -27], [-2, -25], [2, -16]], [[-1, 0], [2, 1], [-2, 5], [2, 12], [-2, 15], [-2, 20], [2, 23], [-2, 25], [2, -21]], [[2, 0], [-2, 1], [-2, 6], [2, 10], [-2, 12], [1, 15], [-2, 17], [-2, 23], [2, 25], [-2, -27], [-2, -21], [-2, -16]], [[2, 0], [1, 10], [2, 15], [2, 25], [2, -25], [2, -20]], [[-2, 0], [2, 1], [2, 6], [2, 12], [2, 17], [-2, 20], [2, 23], [2, -27], [-1, -25], [2, -21], [-2, -20], [2, -16]], [[-2, 0], [2, 1], [2, 6], [-2, 10], [2, 12], [-1, 15], [2, 17], [2, 23], [-2, 25], [2, -27], [2, -21], [2, -16]], [[1, 1], [-2, 5], [2, 6], [-2, 10], [1, 12], [-2, 15], [2, 17], [1, 23], [2, -27], [1, -21], [-2, -20], [2, -16]], [[-2, 1], [2, 10], [-2, 12], [2, 15], [2, 20], [-2, 23], [2, -25], [-2, -21], [1, -20]], [[0, 0]], [[2, 0], [-2, 1], [-2, 6], [-2, 12], [-2, 17], [2, 20], [-2, 23], [-2, -27], [1, -25], [-2, -21], [2, -20], [-2, -16]], [[-2, 0], [-1, 10], [-2, 15], [-2, 25], [-2, -25], [-2, -20]], [[-2, 0], [-2, 5], [2, 6], [-2, 15], [2, 17], [-1, 20], [2, -27], [-2, -25], [2, -16]], [[1, 0], [-2, 1], [2, 5], [-2, 12], [2, 15], [2, 20], [-2, 23], [2, 25], [-2, -21]], [[-1, 0], [1, 1], [-1, 5], [-1, 6], [-1, 10], [1, 12], [1, 15], [-1, 17], [1, 20], [1, 23], [1, 25], [-1, -27], [-1, -25], [1, -21], [1, -20], [-1, -16]], [[2, 1], [-2, 10], [2, 12], [-2, 15], [-2, 20], [2, 23], [-2, -25], [2, -21], [-1, -20]], [[2, 1], [-2, 5], [1, 6], [2, 12], [1, 17], [2, 23], [-2, 25], [1, -27], [-2, -25], [2, -21], [-2, -20], [1, -16]], [[-2, 0], [-2, 5], [-2, 10], [-2, 20], [-1, 25], [-2, -20]], [[2, 0], [2, 5], [2, 10], [2, 20], [1, 25], [2, -20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, -26]], [[1, -2]], [[1, 9]], [[1, 17]], [[1, -24]], [[1, 21]], [[1, 19]], [[1, -7]], [[1, 4]], [[1, -8]], [[1, -19]], [[1, 16]], [[1, 2]], [[1, 24]], [[1, 13]], [[1, 14]], [[1, 12]], [[1, 8]], [[1, 27]], [[1, -1]], [[1, -27]], [[1, -16]], [[1, -13]], [[1, 1]], [[1, -4]], [[1, 7]], [[1, -12]], [[1, 18]], [[1, -14]], [[1, 6]], [[1, -9]], [[1, -23]], [[1, -6]], [[1, -17]], [[1, 3]], [[1, -18]], [[1, 26]], [[1, 23]], [[1, -21]]]}
-
id: 7797896
{'center': '6655.a1.a1', 'center_index': 6655, 'center_order': 11, 'counter': 42, 'cyclotomic_n': 55, 'dim': 11, 'faithful': True, 'field': [1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': None, 'image_order': 73205, 'indicator': 0, 'kernel': '73205.a1.a1', 'kernel_order': 1, 'label': '73205.j.11b3', 'nt': [605, 0], 'q_character': None, 'values': [[[11, 0]], [[1, -22]], [[1, 22]], [[1, 11]], [[1, -11]], [[11, 25]], [[11, -5]], [[11, -15]], [[11, 10]], [[11, 20]], [[11, -25]], [[11, 5]], [[11, -10]], [[11, -20]], [[11, 15]], [[2, 0], [2, 5], [2, 10], [2, 20], [1, 25], [2, -20]], [[-2, 0], [-1, 10], [-2, 15], [-2, 25], [-2, -25], [-2, -20]], [[-1, 1], [2, 5], [-2, 6], [2, 10], [-1, 12], [2, 15], [-2, 17], [-1, 23], [-2, -27], [-1, -21], [2, -20], [-2, -16]], [[-2, 1], [2, 10], [-2, 12], [2, 15], [2, 20], [-2, 23], [2, -25], [-2, -21], [1, -20]], [[0, 0]], [[1, 0], [-1, 1], [1, 5], [1, 6], [1, 10], [-1, 12], [-1, 15], [1, 17], [-1, 20], [-1, 23], [-1, 25], [1, -27], [1, -25], [-1, -21], [-1, -20], [1, -16]], [[2, 0], [1, 10], [2, 15], [2, 25], [2, -25], [2, -20]], [[1, 0], [-2, 1], [2, 5], [-2, 12], [2, 15], [2, 20], [-2, 23], [2, 25], [-2, -21]], [[2, 0], [-2, 1], [-2, 6], [-2, 12], [-2, 17], [2, 20], [-2, 23], [-2, -27], [1, -25], [-2, -21], [2, -20], [-2, -16]], [[2, 0], [2, 5], [-2, 6], [2, 15], [-2, 17], [1, 20], [-2, -27], [2, -25], [-2, -16]], [[1, 5], [-2, 6], [2, 10], [-2, 17], [2, 20], [2, 25], [-2, -27], [2, -25], [-2, -16]], [[-2, 0], [2, 1], [2, 6], [2, 12], [2, 17], [-2, 20], [2, 23], [2, -27], [-1, -25], [2, -21], [-2, -20], [2, -16]], [[2, 1], [-2, 10], [2, 12], [-2, 15], [-2, 20], [2, 23], [-2, -25], [2, -21], [-1, -20]], [[-2, 0], [2, 1], [2, 6], [-2, 10], [2, 12], [-1, 15], [2, 17], [2, 23], [-2, 25], [2, -27], [2, -21], [2, -16]], [[0, 0]], [[-1, 5], [2, 6], [-2, 10], [2, 17], [-2, 20], [-2, 25], [2, -27], [-2, -25], [2, -16]], [[-2, 0], [-2, 5], [2, 6], [-2, 15], [2, 17], [-1, 20], [2, -27], [-2, -25], [2, -16]], [[-1, 0], [1, 1], [-1, 5], [-1, 6], [-1, 10], [1, 12], [1, 15], [-1, 17], [1, 20], [1, 23], [1, 25], [-1, -27], [-1, -25], [1, -21], [1, -20], [-1, -16]], [[-1, 0], [2, 1], [-2, 5], [2, 12], [-2, 15], [-2, 20], [2, 23], [-2, 25], [2, -21]], [[-2, 0], [-2, 5], [-2, 10], [-2, 20], [-1, 25], [-2, -20]], [[2, 0], [-2, 1], [-2, 6], [2, 10], [-2, 12], [1, 15], [-2, 17], [-2, 23], [2, 25], [-2, -27], [-2, -21], [-2, -16]], [[1, 1], [-2, 5], [2, 6], [-2, 10], [1, 12], [-2, 15], [2, 17], [1, 23], [2, -27], [1, -21], [-2, -20], [2, -16]], [[-2, 1], [2, 5], [-1, 6], [-2, 12], [-1, 17], [-2, 23], [2, 25], [-1, -27], [2, -25], [-2, -21], [2, -20], [-1, -16]], [[2, 1], [-2, 5], [1, 6], [2, 12], [1, 17], [2, 23], [-2, 25], [1, -27], [-2, -25], [2, -21], [-2, -20], [1, -16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -6]], [[1, 3]], [[1, -4]], [[1, 18]], [[1, -21]], [[1, 7]], [[1, -13]], [[1, -17]], [[1, -14]], [[1, 8]], [[1, -16]], [[1, 17]], [[1, -23]], [[1, 4]], [[1, -7]], [[1, 26]], [[1, -27]], [[1, 24]], [[1, 16]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 23]], [[1, -26]], [[1, 2]], [[1, -8]], [[1, 14]], [[1, -24]], [[1, -19]], [[1, 27]], [[1, 12]], [[1, -18]], [[1, 9]], [[1, -12]], [[1, 21]], [[1, 6]], [[1, 19]], [[1, -3]], [[1, -9]], [[1, 13]]]}
-
id: 7797925
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id: 7797927
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id: 7797928
{'center': '6655.a1.a1', 'center_index': 6655, 'center_order': 11, 'counter': 71, 'cyclotomic_n': 55, 'dim': 11, 'faithful': True, 'field': [1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': None, 'image_order': 73205, 'indicator': 0, 'kernel': '73205.a1.a1', 'kernel_order': 1, 'label': '73205.j.11b32', 'nt': [605, 40], 'q_character': None, 'values': [[[11, 0]], [[1, 11]], [[1, -11]], [[1, 22]], [[1, -22]], [[11, -15]], [[11, 25]], [[11, 20]], [[11, 5]], [[11, 10]], [[11, 15]], [[11, -25]], [[11, -5]], [[11, -10]], [[11, -20]], [[1, 0], [-1, 1], [1, 5], [1, 6], [1, 10], [-1, 12], [-1, 15], [1, 17], [-1, 20], [-1, 23], [-1, 25], [1, -27], [1, -25], [-1, -21], [-1, -20], [1, -16]], [[1, 5], [-2, 6], [2, 10], [-2, 17], [2, 20], [2, 25], [-2, -27], [2, -25], [-2, -16]], [[-2, 1], [2, 5], [-1, 6], [-2, 12], [-1, 17], [-2, 23], [2, 25], [-1, -27], [2, -25], [-2, -21], [2, -20], [-1, -16]], [[-1, 1], [2, 5], [-2, 6], [2, 10], [-1, 12], [2, 15], [-2, 17], [-1, 23], [-2, -27], [-1, -21], [2, -20], [-2, -16]], [[0, 0]], [[2, 0], [2, 5], [-2, 6], [2, 15], [-2, 17], [1, 20], [-2, -27], [2, -25], [-2, -16]], [[-1, 5], [2, 6], [-2, 10], [2, 17], [-2, 20], [-2, 25], [2, -27], [-2, -25], [2, -16]], [[-1, 0], [2, 1], [-2, 5], [2, 12], [-2, 15], [-2, 20], [2, 23], [-2, 25], [2, -21]], [[2, 0], [-2, 1], [-2, 6], [2, 10], [-2, 12], [1, 15], [-2, 17], [-2, 23], [2, 25], [-2, -27], [-2, -21], [-2, -16]], [[2, 0], [1, 10], [2, 15], [2, 25], [2, -25], [2, -20]], [[-2, 0], [2, 1], [2, 6], [2, 12], [2, 17], [-2, 20], [2, 23], [2, -27], [-1, -25], [2, -21], [-2, -20], [2, -16]], [[-2, 0], [2, 1], [2, 6], [-2, 10], [2, 12], [-1, 15], [2, 17], [2, 23], [-2, 25], [2, -27], [2, -21], [2, -16]], [[1, 1], [-2, 5], [2, 6], [-2, 10], [1, 12], [-2, 15], [2, 17], [1, 23], [2, -27], [1, -21], [-2, -20], [2, -16]], [[-2, 1], [2, 10], [-2, 12], [2, 15], [2, 20], [-2, 23], [2, -25], [-2, -21], [1, -20]], [[0, 0]], [[2, 0], [-2, 1], [-2, 6], [-2, 12], [-2, 17], [2, 20], [-2, 23], [-2, -27], [1, -25], [-2, -21], [2, -20], [-2, -16]], [[-2, 0], [-1, 10], [-2, 15], [-2, 25], [-2, -25], [-2, -20]], [[-2, 0], [-2, 5], [2, 6], [-2, 15], [2, 17], [-1, 20], [2, -27], [-2, -25], [2, -16]], [[1, 0], [-2, 1], [2, 5], [-2, 12], [2, 15], [2, 20], [-2, 23], [2, 25], [-2, -21]], [[-1, 0], [1, 1], [-1, 5], [-1, 6], [-1, 10], [1, 12], [1, 15], [-1, 17], [1, 20], [1, 23], [1, 25], [-1, -27], [-1, -25], [1, -21], [1, -20], [-1, -16]], [[2, 1], [-2, 10], [2, 12], [-2, 15], [-2, 20], [2, 23], [-2, -25], [2, -21], [-1, -20]], [[2, 1], [-2, 5], [1, 6], [2, 12], [1, 17], [2, 23], [-2, 25], [1, -27], [-2, -25], [2, -21], [-2, -20], [1, -16]], [[-2, 0], [-2, 5], [-2, 10], [-2, 20], [-1, 25], [-2, -20]], [[2, 0], [2, 5], [2, 10], [2, 20], [1, 25], [2, -20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 8]], [[1, -4]], [[1, -13]], [[1, -24]], [[1, -27]], [[1, 9]], [[1, -1]], [[1, -14]], [[1, -18]], [[1, 26]], [[1, 3]], [[1, 14]], [[1, -6]], [[1, 13]], [[1, -9]], [[1, 2]], [[1, -19]], [[1, 23]], [[1, -3]], [[1, -17]], [[1, 21]], [[1, 17]], [[1, 6]], [[1, -2]], [[1, -21]], [[1, -26]], [[1, 18]], [[1, -23]], [[1, 7]], [[1, 19]], [[1, -16]], [[1, 24]], [[1, -12]], [[1, 16]], [[1, 27]], [[1, -8]], [[1, -7]], [[1, 4]], [[1, 12]], [[1, 1]]]}
-
id: 7797929
{'center': '6655.a1.a1', 'center_index': 6655, 'center_order': 11, 'counter': 72, 'cyclotomic_n': 55, 'dim': 11, 'faithful': True, 'field': [1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': None, 'image_order': 73205, 'indicator': 0, 'kernel': '73205.a1.a1', 'kernel_order': 1, 'label': '73205.j.11b33', 'nt': [605, 0], 'q_character': None, 'values': [[[11, 0]], [[1, -11]], [[1, 11]], [[1, -22]], [[1, 22]], [[11, -10]], [[11, -20]], [[11, -5]], [[11, -15]], [[11, 25]], [[11, 10]], [[11, 20]], [[11, 15]], [[11, -25]], [[11, 5]], [[1, 1], [-2, 5], [2, 6], [-2, 10], [1, 12], [-2, 15], [2, 17], [1, 23], [2, -27], [1, -21], [-2, -20], [2, -16]], [[-1, 0], [1, 1], [-1, 5], [-1, 6], [-1, 10], [1, 12], [1, 15], [-1, 17], [1, 20], [1, 23], [1, 25], [-1, -27], [-1, -25], [1, -21], [1, -20], [-1, -16]], [[-2, 0], [2, 1], [2, 6], [-2, 10], [2, 12], [-1, 15], [2, 17], [2, 23], [-2, 25], [2, -27], [2, -21], [2, -16]], [[-2, 0], [2, 1], [2, 6], [2, 12], [2, 17], [-2, 20], [2, 23], [2, -27], [-1, -25], [2, -21], [-2, -20], [2, -16]], [[0, 0]], [[2, 1], [-2, 5], [1, 6], [2, 12], [1, 17], [2, 23], [-2, 25], [1, -27], [-2, -25], [2, -21], [-2, -20], [1, -16]], [[1, 0], [-1, 1], [1, 5], [1, 6], [1, 10], [-1, 12], [-1, 15], [1, 17], [-1, 20], [-1, 23], [-1, 25], [1, -27], [1, -25], [-1, -21], [-1, -20], [1, -16]], [[1, 0], [-2, 1], [2, 5], [-2, 12], [2, 15], [2, 20], [-2, 23], [2, 25], [-2, -21]], [[2, 0], [1, 10], [2, 15], [2, 25], [2, -25], [2, -20]], [[2, 0], [2, 5], [2, 10], [2, 20], [1, 25], [2, -20]], [[-2, 0], [-2, 5], [2, 6], [-2, 15], [2, 17], [-1, 20], [2, -27], [-2, -25], [2, -16]], [[-2, 0], [-1, 10], [-2, 15], [-2, 25], [-2, -25], [-2, -20]], [[2, 0], [-2, 1], [-2, 6], [-2, 12], [-2, 17], [2, 20], [-2, 23], [-2, -27], [1, -25], [-2, -21], [2, -20], [-2, -16]], [[1, 5], [-2, 6], [2, 10], [-2, 17], [2, 20], [2, 25], [-2, -27], [2, -25], [-2, -16]], [[0, 0]], [[2, 0], [2, 5], [-2, 6], [2, 15], [-2, 17], [1, 20], [-2, -27], [2, -25], [-2, -16]], [[-2, 0], [-2, 5], [-2, 10], [-2, 20], [-1, 25], [-2, -20]], [[-2, 1], [2, 5], [-1, 6], [-2, 12], [-1, 17], [-2, 23], [2, 25], [-1, -27], [2, -25], [-2, -21], [2, -20], [-1, -16]], [[-1, 0], [2, 1], [-2, 5], [2, 12], [-2, 15], [-2, 20], [2, 23], [-2, 25], [2, -21]], [[-1, 1], [2, 5], [-2, 6], [2, 10], [-1, 12], [2, 15], [-2, 17], [-1, 23], [-2, -27], [-1, -21], [2, -20], [-2, -16]], [[-1, 5], [2, 6], [-2, 10], [2, 17], [-2, 20], [-2, 25], [2, -27], [-2, -25], [2, -16]], [[2, 0], [-2, 1], [-2, 6], [2, 10], [-2, 12], [1, 15], [-2, 17], [-2, 23], [2, 25], [-2, -27], [-2, -21], [-2, -16]], [[-2, 1], [2, 10], [-2, 12], [2, 15], [2, 20], [-2, 23], [2, -25], [-2, -21], [1, -20]], [[2, 1], [-2, 10], [2, 12], [-2, 15], [-2, 20], [2, 23], [-2, -25], [2, -21], [-1, -20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, -13]], [[1, -21]], [[1, -27]], [[1, -16]], [[1, -18]], [[1, 6]], [[1, -19]], [[1, 9]], [[1, -12]], [[1, -1]], [[1, 2]], [[1, -9]], [[1, -4]], [[1, 27]], [[1, -6]], [[1, -17]], [[1, 24]], [[1, -3]], [[1, -2]], [[1, 7]], [[1, 14]], [[1, -7]], [[1, 4]], [[1, 17]], [[1, -14]], [[1, 1]], [[1, 12]], [[1, 3]], [[1, 23]], [[1, -24]], [[1, 26]], [[1, 16]], [[1, -8]], [[1, -26]], [[1, 18]], [[1, 13]], [[1, -23]], [[1, 21]], [[1, 8]], [[1, 19]]]}
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id: 7797930
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id: 7797931
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id: 7797932
{'center': '6655.a1.a1', 'center_index': 6655, 'center_order': 11, 'counter': 75, 'cyclotomic_n': 55, 'dim': 11, 'faithful': True, 'field': [1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': None, 'image_order': 73205, 'indicator': 0, 'kernel': '73205.a1.a1', 'kernel_order': 1, 'label': '73205.j.11b36', 'nt': [605, 40], 'q_character': None, 'values': [[[11, 0]], [[1, 11]], [[1, -11]], [[1, 22]], [[1, -22]], [[11, -10]], [[11, -20]], [[11, -5]], [[11, -15]], [[11, 25]], [[11, 10]], [[11, 20]], [[11, 15]], [[11, -25]], [[11, 5]], [[1, 1], [-2, 5], [2, 6], [-2, 10], [1, 12], [-2, 15], [2, 17], [1, 23], [2, -27], [1, -21], [-2, -20], [2, -16]], [[-1, 0], [1, 1], [-1, 5], [-1, 6], [-1, 10], [1, 12], [1, 15], [-1, 17], [1, 20], [1, 23], [1, 25], [-1, -27], [-1, -25], [1, -21], [1, -20], [-1, -16]], [[-2, 0], [2, 1], [2, 6], [-2, 10], [2, 12], [-1, 15], [2, 17], [2, 23], [-2, 25], [2, -27], [2, -21], [2, -16]], [[-2, 0], [2, 1], [2, 6], [2, 12], [2, 17], [-2, 20], [2, 23], [2, -27], [-1, -25], [2, -21], [-2, -20], [2, -16]], [[0, 0]], [[2, 1], [-2, 5], [1, 6], [2, 12], [1, 17], [2, 23], [-2, 25], [1, -27], [-2, -25], [2, -21], [-2, -20], [1, -16]], [[1, 0], [-1, 1], [1, 5], [1, 6], [1, 10], [-1, 12], [-1, 15], [1, 17], [-1, 20], [-1, 23], [-1, 25], [1, -27], [1, -25], [-1, -21], [-1, -20], [1, -16]], [[1, 0], [-2, 1], [2, 5], [-2, 12], [2, 15], [2, 20], [-2, 23], [2, 25], [-2, -21]], [[2, 0], [1, 10], [2, 15], [2, 25], [2, -25], [2, -20]], [[2, 0], [2, 5], [2, 10], [2, 20], [1, 25], [2, -20]], [[-2, 0], [-2, 5], [2, 6], [-2, 15], [2, 17], [-1, 20], [2, -27], [-2, -25], [2, -16]], [[-2, 0], [-1, 10], [-2, 15], [-2, 25], [-2, -25], [-2, -20]], [[2, 0], [-2, 1], [-2, 6], [-2, 12], [-2, 17], [2, 20], [-2, 23], [-2, -27], [1, -25], [-2, -21], [2, -20], [-2, -16]], [[1, 5], [-2, 6], [2, 10], [-2, 17], [2, 20], [2, 25], [-2, -27], [2, -25], [-2, -16]], [[0, 0]], [[2, 0], [2, 5], [-2, 6], [2, 15], [-2, 17], [1, 20], [-2, -27], [2, -25], [-2, -16]], [[-2, 0], [-2, 5], [-2, 10], [-2, 20], [-1, 25], [-2, -20]], [[-2, 1], [2, 5], [-1, 6], [-2, 12], [-1, 17], [-2, 23], [2, 25], [-1, -27], [2, -25], [-2, -21], [2, -20], [-1, -16]], [[-1, 0], [2, 1], [-2, 5], [2, 12], [-2, 15], [-2, 20], [2, 23], [-2, 25], [2, -21]], [[-1, 1], [2, 5], [-2, 6], [2, 10], [-1, 12], [2, 15], [-2, 17], [-1, 23], [-2, -27], [-1, -21], [2, -20], [-2, -16]], [[-1, 5], [2, 6], [-2, 10], [2, 17], [-2, 20], [-2, 25], [2, -27], [-2, -25], [2, -16]], [[2, 0], [-2, 1], [-2, 6], [2, 10], [-2, 12], [1, 15], [-2, 17], [-2, 23], [2, 25], [-2, -27], [-2, -21], [-2, -16]], [[-2, 1], [2, 10], [-2, 12], [2, 15], [2, 20], [-2, 23], [2, -25], [-2, -21], [1, -20]], [[2, 1], [-2, 10], [2, 12], [-2, 15], [-2, 20], [2, 23], [-2, -25], [2, -21], [-1, -20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 1]], [[1, 17]], [[1, 6]], [[1, -7]], [[1, -16]], [[1, 14]], [[1, -24]], [[1, -23]], [[1, 21]], [[1, 13]], [[1, 24]], [[1, -26]], [[1, -17]], [[1, 16]], [[1, 27]], [[1, -9]], [[1, 8]], [[1, -13]], [[1, 18]], [[1, -19]], [[1, -18]], [[1, 26]], [[1, -27]], [[1, 19]], [[1, -21]], [[1, 23]], [[1, -8]], [[1, 12]], [[1, 9]], [[1, 4]], [[1, -6]], [[1, 3]], [[1, -4]], [[1, 7]], [[1, 2]], [[1, -12]], [[1, -1]], [[1, -3]], [[1, -14]]]}
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id: 7797933
{'center': '6655.a1.a1', 'center_index': 6655, 'center_order': 11, 'counter': 76, 'cyclotomic_n': 55, 'dim': 11, 'faithful': True, 'field': [1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': None, 'image_order': 73205, 'indicator': 0, 'kernel': '73205.a1.a1', 'kernel_order': 1, 'label': '73205.j.11b37', 'nt': [605, 0], 'q_character': None, 'values': [[[11, 0]], [[1, -11]], [[1, 11]], [[1, -22]], [[1, 22]], [[11, -5]], [[11, -10]], [[11, 25]], [[11, 20]], [[11, -15]], [[11, 5]], [[11, 10]], [[11, -20]], [[11, 15]], [[11, -25]], [[2, 1], [-2, 5], [1, 6], [2, 12], [1, 17], [2, 23], [-2, 25], [1, -27], [-2, -25], [2, -21], [-2, -20], [1, -16]], [[-2, 0], [-2, 5], [2, 6], [-2, 15], [2, 17], [-1, 20], [2, -27], [-2, -25], [2, -16]], [[-2, 1], [2, 10], [-2, 12], [2, 15], [2, 20], [-2, 23], [2, -25], [-2, -21], [1, -20]], [[-2, 0], [2, 1], [2, 6], [-2, 10], [2, 12], [-1, 15], [2, 17], [2, 23], [-2, 25], [2, -27], [2, -21], [2, -16]], [[0, 0]], [[2, 0], [2, 5], [2, 10], [2, 20], [1, 25], [2, -20]], [[2, 0], [2, 5], [-2, 6], [2, 15], [-2, 17], [1, 20], [-2, -27], [2, -25], [-2, -16]], [[-1, 0], [2, 1], [-2, 5], [2, 12], [-2, 15], [-2, 20], [2, 23], [-2, 25], [2, -21]], [[-1, 5], [2, 6], [-2, 10], [2, 17], [-2, 20], [-2, 25], [2, -27], [-2, -25], [2, -16]], [[1, 0], [-1, 1], [1, 5], [1, 6], [1, 10], [-1, 12], [-1, 15], [1, 17], [-1, 20], [-1, 23], [-1, 25], [1, -27], [1, -25], [-1, -21], [-1, -20], [1, -16]], [[-2, 0], [-1, 10], [-2, 15], [-2, 25], [-2, -25], [-2, -20]], [[1, 5], [-2, 6], [2, 10], [-2, 17], [2, 20], [2, 25], [-2, -27], [2, -25], [-2, -16]], [[2, 0], [-2, 1], [-2, 6], [2, 10], [-2, 12], [1, 15], [-2, 17], [-2, 23], [2, 25], [-2, -27], [-2, -21], [-2, -16]], [[-2, 0], [2, 1], [2, 6], [2, 12], [2, 17], [-2, 20], [2, 23], [2, -27], [-1, -25], [2, -21], [-2, -20], [2, -16]], [[0, 0]], [[2, 0], [1, 10], [2, 15], [2, 25], [2, -25], [2, -20]], [[-1, 0], [1, 1], [-1, 5], [-1, 6], [-1, 10], [1, 12], [1, 15], [-1, 17], [1, 20], [1, 23], [1, 25], [-1, -27], [-1, -25], [1, -21], [1, -20], [-1, -16]], [[-2, 0], [-2, 5], [-2, 10], [-2, 20], [-1, 25], [-2, -20]], [[1, 0], [-2, 1], [2, 5], [-2, 12], [2, 15], [2, 20], [-2, 23], [2, 25], [-2, -21]], [[-2, 1], [2, 5], [-1, 6], [-2, 12], [-1, 17], [-2, 23], [2, 25], [-1, -27], [2, -25], [-2, -21], [2, -20], [-1, -16]], [[2, 0], [-2, 1], [-2, 6], [-2, 12], [-2, 17], [2, 20], [-2, 23], [-2, -27], [1, -25], [-2, -21], [2, -20], [-2, -16]], [[2, 1], [-2, 10], [2, 12], [-2, 15], [-2, 20], [2, 23], [-2, -25], [2, -21], [-1, -20]], [[-1, 1], [2, 5], [-2, 6], [2, 10], [-1, 12], [2, 15], [-2, 17], [-1, 23], [-2, -27], [-1, -21], [2, -20], [-2, -16]], [[1, 1], [-2, 5], [2, 6], [-2, 10], [1, 12], [-2, 15], [2, 17], [1, 23], [2, -27], [1, -21], [-2, -20], [2, -16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -23]], [[1, -16]], [[1, 3]], [[1, 14]], [[1, 2]], [[1, -19]], [[1, -4]], [[1, -1]], [[1, -17]], [[1, -6]], [[1, 12]], [[1, 1]], [[1, -24]], [[1, -3]], [[1, 19]], [[1, 8]], [[1, -21]], [[1, -18]], [[1, -12]], [[1, -13]], [[1, -26]], [[1, 13]], [[1, 24]], [[1, -8]], [[1, 26]], [[1, 6]], [[1, 17]], [[1, 18]], [[1, -27]], [[1, 21]], [[1, -9]], [[1, -14]], [[1, 7]], [[1, 9]], [[1, -2]], [[1, 23]], [[1, 27]], [[1, 16]], [[1, -7]], [[1, 4]]]}
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id: 7797934
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id: 7797935
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id: 7797897
{'center': '6655.a1.a1', 'center_index': 6655, 'center_order': 11, 'counter': 43, 'cyclotomic_n': 55, 'dim': 11, 'faithful': True, 'field': [1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': None, 'image_order': 73205, 'indicator': 0, 'kernel': '73205.a1.a1', 'kernel_order': 1, 'label': '73205.j.11b4', 'nt': [605, 40], 'q_character': None, 'values': [[[11, 0]], [[1, 22]], [[1, -22]], [[1, -11]], [[1, 11]], [[11, -25]], [[11, 5]], [[11, 15]], [[11, -10]], [[11, -20]], [[11, 25]], [[11, -5]], [[11, 10]], [[11, 20]], [[11, -15]], [[2, 0], [-2, 1], [-2, 6], [-2, 12], [-2, 17], [2, 20], [-2, 23], [-2, -27], [1, -25], [-2, -21], [2, -20], [-2, -16]], [[-1, 1], [2, 5], [-2, 6], [2, 10], [-1, 12], [2, 15], [-2, 17], [-1, 23], [-2, -27], [-1, -21], [2, -20], [-2, -16]], [[-2, 0], [-1, 10], [-2, 15], [-2, 25], [-2, -25], [-2, -20]], [[-2, 0], [-2, 5], [2, 6], [-2, 15], [2, 17], [-1, 20], [2, -27], [-2, -25], [2, -16]], [[0, 0]], [[2, 0], [-2, 1], [-2, 6], [2, 10], [-2, 12], [1, 15], [-2, 17], [-2, 23], [2, 25], [-2, -27], [-2, -21], [-2, -16]], [[1, 1], [-2, 5], [2, 6], [-2, 10], [1, 12], [-2, 15], [2, 17], [1, 23], [2, -27], [1, -21], [-2, -20], [2, -16]], [[-1, 0], [2, 1], [-2, 5], [2, 12], [-2, 15], [-2, 20], [2, 23], [-2, 25], [2, -21]], [[2, 0], [2, 5], [2, 10], [2, 20], [1, 25], [2, -20]], [[2, 1], [-2, 10], [2, 12], [-2, 15], [-2, 20], [2, 23], [-2, -25], [2, -21], [-1, -20]], [[-2, 1], [2, 5], [-1, 6], [-2, 12], [-1, 17], [-2, 23], [2, 25], [-1, -27], [2, -25], [-2, -21], [2, -20], [-1, -16]], [[-2, 0], [-2, 5], [-2, 10], [-2, 20], [-1, 25], [-2, -20]], [[2, 0], [2, 5], [-2, 6], [2, 15], [-2, 17], [1, 20], [-2, -27], [2, -25], [-2, -16]], [[-1, 0], [1, 1], [-1, 5], [-1, 6], [-1, 10], [1, 12], [1, 15], [-1, 17], [1, 20], [1, 23], [1, 25], [-1, -27], [-1, -25], [1, -21], [1, -20], [-1, -16]], [[0, 0]], [[2, 1], [-2, 5], [1, 6], [2, 12], [1, 17], [2, 23], [-2, 25], [1, -27], [-2, -25], [2, -21], [-2, -20], [1, -16]], [[-2, 1], [2, 10], [-2, 12], [2, 15], [2, 20], [-2, 23], [2, -25], [-2, -21], [1, -20]], [[-2, 0], [2, 1], [2, 6], [-2, 10], [2, 12], [-1, 15], [2, 17], [2, 23], [-2, 25], [2, -27], [2, -21], [2, -16]], [[1, 0], [-2, 1], [2, 5], [-2, 12], [2, 15], [2, 20], [-2, 23], [2, 25], [-2, -21]], [[-2, 0], [2, 1], [2, 6], [2, 12], [2, 17], [-2, 20], [2, 23], [2, -27], [-1, -25], [2, -21], [-2, -20], [2, -16]], [[1, 0], [-1, 1], [1, 5], [1, 6], [1, 10], [-1, 12], [-1, 15], [1, 17], [-1, 20], [-1, 23], [-1, 25], [1, -27], [1, -25], [-1, -21], [-1, -20], [1, -16]], [[2, 0], [1, 10], [2, 15], [2, 25], [2, -25], [2, -20]], [[1, 5], [-2, 6], [2, 10], [-2, 17], [2, 20], [2, 25], [-2, -27], [2, -25], [-2, -16]], [[-1, 5], [2, 6], [-2, 10], [2, 17], [-2, 20], [-2, 25], [2, -27], [-2, -25], [2, -16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6]], [[1, -3]], [[1, 4]], [[1, -18]], [[1, 21]], [[1, -7]], [[1, 13]], [[1, 17]], [[1, 14]], [[1, -8]], [[1, 16]], [[1, -17]], [[1, 23]], [[1, -4]], [[1, 7]], [[1, -26]], [[1, 27]], [[1, -24]], [[1, -16]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -23]], [[1, 26]], [[1, -2]], [[1, 8]], [[1, -14]], [[1, 24]], [[1, 19]], [[1, -27]], [[1, -12]], [[1, 18]], [[1, -9]], [[1, 12]], [[1, -21]], [[1, -6]], [[1, -19]], [[1, 3]], [[1, 9]], [[1, -13]]]}
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id: 7797936
{'center': '6655.a1.a1', 'center_index': 6655, 'center_order': 11, 'counter': 79, 'cyclotomic_n': 55, 'dim': 11, 'faithful': True, 'field': [1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': None, 'image_order': 73205, 'indicator': 0, 'kernel': '73205.a1.a1', 'kernel_order': 1, 'label': '73205.j.11b40', 'nt': [605, 40], 'q_character': None, 'values': [[[11, 0]], [[1, 11]], [[1, -11]], [[1, 22]], [[1, -22]], [[11, -5]], [[11, -10]], [[11, 25]], [[11, 20]], [[11, -15]], [[11, 5]], [[11, 10]], [[11, -20]], [[11, 15]], [[11, -25]], [[2, 1], [-2, 5], [1, 6], [2, 12], [1, 17], [2, 23], [-2, 25], [1, -27], [-2, -25], [2, -21], [-2, -20], [1, -16]], [[-2, 0], [-2, 5], [2, 6], [-2, 15], [2, 17], [-1, 20], [2, -27], [-2, -25], [2, -16]], [[-2, 1], [2, 10], [-2, 12], [2, 15], [2, 20], [-2, 23], [2, -25], [-2, -21], [1, -20]], [[-2, 0], [2, 1], [2, 6], [-2, 10], [2, 12], [-1, 15], [2, 17], [2, 23], [-2, 25], [2, -27], [2, -21], [2, -16]], [[0, 0]], [[2, 0], [2, 5], [2, 10], [2, 20], [1, 25], [2, -20]], [[2, 0], [2, 5], [-2, 6], [2, 15], [-2, 17], [1, 20], [-2, -27], [2, -25], [-2, -16]], [[-1, 0], [2, 1], [-2, 5], [2, 12], [-2, 15], [-2, 20], [2, 23], [-2, 25], [2, -21]], [[-1, 5], [2, 6], [-2, 10], [2, 17], [-2, 20], [-2, 25], [2, -27], [-2, -25], [2, -16]], [[1, 0], [-1, 1], [1, 5], [1, 6], [1, 10], [-1, 12], [-1, 15], [1, 17], [-1, 20], [-1, 23], [-1, 25], [1, -27], [1, -25], [-1, -21], [-1, -20], [1, -16]], [[-2, 0], [-1, 10], [-2, 15], [-2, 25], [-2, -25], [-2, -20]], [[1, 5], [-2, 6], [2, 10], [-2, 17], [2, 20], [2, 25], [-2, -27], [2, -25], [-2, -16]], [[2, 0], [-2, 1], [-2, 6], [2, 10], [-2, 12], [1, 15], [-2, 17], [-2, 23], [2, 25], [-2, -27], [-2, -21], [-2, -16]], [[-2, 0], [2, 1], [2, 6], [2, 12], [2, 17], [-2, 20], [2, 23], [2, -27], [-1, -25], [2, -21], [-2, -20], [2, -16]], [[0, 0]], [[2, 0], [1, 10], [2, 15], [2, 25], [2, -25], [2, -20]], [[-1, 0], [1, 1], [-1, 5], [-1, 6], [-1, 10], [1, 12], [1, 15], [-1, 17], [1, 20], [1, 23], [1, 25], [-1, -27], [-1, -25], [1, -21], [1, -20], [-1, -16]], [[-2, 0], [-2, 5], [-2, 10], [-2, 20], [-1, 25], [-2, -20]], [[1, 0], [-2, 1], [2, 5], [-2, 12], [2, 15], [2, 20], [-2, 23], [2, 25], [-2, -21]], [[-2, 1], [2, 5], [-1, 6], [-2, 12], [-1, 17], [-2, 23], [2, 25], [-1, -27], [2, -25], [-2, -21], [2, -20], [-1, -16]], [[2, 0], [-2, 1], [-2, 6], [-2, 12], [-2, 17], [2, 20], [-2, 23], [-2, -27], [1, -25], [-2, -21], [2, -20], [-2, -16]], [[2, 1], [-2, 10], [2, 12], [-2, 15], [-2, 20], [2, 23], [-2, -25], [2, -21], [-1, -20]], [[-1, 1], [2, 5], [-2, 6], [2, 10], [-1, 12], [2, 15], [-2, 17], [-1, 23], [-2, -27], [-1, -21], [2, -20], [-2, -16]], [[1, 1], [-2, 5], [2, 6], [-2, 10], [1, 12], [-2, 15], [2, 17], [1, 23], [2, -27], [1, -21], [-2, -20], [2, -16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -12]], [[1, 6]], [[1, -8]], [[1, -19]], [[1, 13]], [[1, 14]], [[1, -26]], [[1, 21]], [[1, 27]], [[1, 16]], [[1, 23]], [[1, -21]], [[1, 9]], [[1, 8]], [[1, -14]], [[1, -3]], [[1, 1]], [[1, -7]], [[1, -23]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, -9]], [[1, 3]], [[1, 4]], [[1, -16]], [[1, -27]], [[1, 7]], [[1, 17]], [[1, -1]], [[1, 24]], [[1, 19]], [[1, 18]], [[1, -24]], [[1, -13]], [[1, 12]], [[1, -17]], [[1, -6]], [[1, -18]], [[1, 26]]]}
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id: 7797898
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id: 7797899
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id: 7797900
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-
id: 7797901
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id: 7797902
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id: 7797938
{'center': '6655.a1.a1', 'center_index': 6655, 'center_order': 11, 'counter': 80, 'cyclotomic_n': 11, 'dim': 55, 'faithful': False, 'field': [3, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': None, 'image_order': 6655, 'indicator': 0, 'kernel': '6655.a1.a1', 'kernel_order': 11, 'label': '73205.j.55a1', 'nt': [121, 0], 'q_character': None, 'values': [[[55, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[55, 0]], [[55, 0]], [[55, 0]], [[55, 0]], [[55, 0]], [[55, 0]], [[55, 0]], [[55, 0]], [[55, 0]], [[55, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-11, 0], [-11, 1], [-11, 3], [-11, 4], [-11, 5], [-11, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[11, 1], [11, 3], [11, 4], [11, 5], [11, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 7797939
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id: 7797940
{'center': '6655.a1.a1', 'center_index': 6655, 'center_order': 11, 'counter': 82, 'cyclotomic_n': 11, 'dim': 55, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': None, 'image_order': 73205, 'indicator': 0, 'kernel': '73205.a1.a1', 'kernel_order': 1, 'label': '73205.j.55b1', 'nt': [605, 0], 'q_character': None, 'values': [[[55, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[55, -5]], [[55, 1]], [[55, 3]], [[55, -2]], [[55, -4]], [[55, 5]], [[55, -1]], [[55, 2]], [[55, 4]], [[55, -3]], [[1, 1], [1, 2], [1, 3], [1, 5], [6, -5], [1, -3]], [[1, 0], [1, 4], [1, 5], [1, -5], [1, -3], [6, -2]], [[1, 0], [6, 2], [1, 3], [1, 5], [1, -5], [1, -4]], [[-1, 2], [5, 4], [-1, 5], [-1, -4], [-1, -3], [-1, -2]], [[0, 0]], [[1, 1], [6, 3], [1, 4], [1, -5], [1, -4], [1, -3]], [[-1, 0], [-1, 4], [-1, 5], [-1, -5], [-1, -3], [5, -2]], [[6, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 2], [-1, 4], [5, 5], [-1, -4]], [[1, 2], [1, 3], [1, 4], [1, -5], [6, -4], [1, -2]], [[-5, 0], [-6, 1], [-5, 2], [-5, 3], [-5, 4], [-6, 5], [-6, -5], [-6, -4], [-5, -3], [-6, -2]], [[1, 0], [1, 1], [1, 2], [1, 4], [6, 5], [1, -4]], [[1, 2], [6, 4], [1, 5], [1, -4], [1, -3], [1, -2]], [[1, 0], [1, 1], [1, 2], [1, -5], [6, -3], [1, -2]], [[0, 0]], [[-6, 0], [-5, 1], [-6, 2], [-6, 3], [-6, 4], [-5, 5], [-5, -5], [-5, -4], [-6, -3], [-5, -2]], [[-1, 2], [-1, 3], [-1, 4], [-1, -5], [5, -4], [-1, -2]], [[-1, 1], [5, 3], [-1, 4], [-1, -5], [-1, -4], [-1, -3]], [[5, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 1], [-1, 2], [-1, 3], [-1, 5], [5, -5], [-1, -3]], [[-1, 0], [-1, 1], [-1, 2], [-1, -5], [5, -3], [-1, -2]], [[-1, 0], [5, 2], [-1, 3], [-1, 5], [-1, -5], [-1, -4]], [[1, 0], [6, 1], [1, 3], [1, -4], [1, -3], [1, -2]], [[-1, 0], [5, 1], [-1, 3], [-1, -4], [-1, -3], [-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7797950
{'center': '6655.a1.a1', 'center_index': 6655, 'center_order': 11, 'counter': 91, 'cyclotomic_n': 11, 'dim': 55, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': None, 'image_order': 73205, 'indicator': 0, 'kernel': '73205.a1.a1', 'kernel_order': 1, 'label': '73205.j.55b10', 'nt': [605, 10], 'q_character': None, 'values': [[[55, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[55, 1]], [[55, 2]], [[55, -5]], [[55, -4]], [[55, 3]], [[55, -1]], [[55, -2]], [[55, 4]], [[55, -3]], [[55, 5]], [[-1, 0], [5, 1], [-1, 3], [-1, -4], [-1, -3], [-1, -2]], [[-1, 2], [-1, 3], [-1, 4], [-1, -5], [5, -4], [-1, -2]], [[-1, 2], [5, 4], [-1, 5], [-1, -4], [-1, -3], [-1, -2]], [[1, 0], [1, 1], [1, 2], [1, -5], [6, -3], [1, -2]], [[0, 0]], [[1, 1], [1, 2], [1, 3], [1, 5], [6, -5], [1, -3]], [[1, 2], [1, 3], [1, 4], [1, -5], [6, -4], [1, -2]], [[5, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-6, 0], [-5, 1], [-6, 2], [-6, 3], [-6, 4], [-5, 5], [-5, -5], [-5, -4], [-6, -3], [-5, -2]], [[1, 1], [6, 3], [1, 4], [1, -5], [1, -4], [1, -3]], [[1, 0], [1, 4], [1, 5], [1, -5], [1, -3], [6, -2]], [[-5, 0], [-6, 1], [-5, 2], [-5, 3], [-5, 4], [-6, 5], [-6, -5], [-6, -4], [-5, -3], [-6, -2]], [[-1, 0], [-1, 1], [-1, 2], [-1, -5], [5, -3], [-1, -2]], [[1, 0], [1, 1], [1, 2], [1, 4], [6, 5], [1, -4]], [[0, 0]], [[-1, 0], [-1, 4], [-1, 5], [-1, -5], [-1, -3], [5, -2]], [[-1, 1], [5, 3], [-1, 4], [-1, -5], [-1, -4], [-1, -3]], [[-1, 1], [-1, 2], [-1, 3], [-1, 5], [5, -5], [-1, -3]], [[6, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 0], [6, 1], [1, 3], [1, -4], [1, -3], [1, -2]], [[-1, 0], [-1, 1], [-1, 2], [-1, 4], [5, 5], [-1, -4]], [[1, 2], [6, 4], [1, 5], [1, -4], [1, -3], [1, -2]], [[1, 0], [6, 2], [1, 3], [1, 5], [1, -5], [1, -4]], [[-1, 0], [5, 2], [-1, 3], [-1, 5], [-1, -5], [-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7797941
{'center': '6655.a1.a1', 'center_index': 6655, 'center_order': 11, 'counter': 83, 'cyclotomic_n': 11, 'dim': 55, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': None, 'image_order': 73205, 'indicator': 0, 'kernel': '73205.a1.a1', 'kernel_order': 1, 'label': '73205.j.55b2', 'nt': [605, 10], 'q_character': None, 'values': [[[55, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[55, 5]], [[55, -1]], [[55, -3]], [[55, 2]], [[55, 4]], [[55, -5]], [[55, 1]], [[55, -2]], [[55, -4]], [[55, 3]], [[-1, 0], [-1, 1], [-1, 2], [-1, 4], [5, 5], [-1, -4]], [[1, 0], [6, 2], [1, 3], [1, 5], [1, -5], [1, -4]], [[1, 0], [1, 4], [1, 5], [1, -5], [1, -3], [6, -2]], [[-1, 2], [-1, 3], [-1, 4], [-1, -5], [5, -4], [-1, -2]], [[0, 0]], [[-1, 0], [-1, 1], [-1, 2], [-1, -5], [5, -3], [-1, -2]], [[-1, 0], [5, 2], [-1, 3], [-1, 5], [-1, -5], [-1, -4]], [[5, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 2], [1, 3], [1, 5], [6, -5], [1, -3]], [[1, 2], [6, 4], [1, 5], [1, -4], [1, -3], [1, -2]], [[1, 0], [6, 1], [1, 3], [1, -4], [1, -3], [1, -2]], [[-1, 1], [-1, 2], [-1, 3], [-1, 5], [5, -5], [-1, -3]], [[1, 2], [1, 3], [1, 4], [1, -5], [6, -4], [1, -2]], [[-1, 1], [5, 3], [-1, 4], [-1, -5], [-1, -4], [-1, -3]], [[0, 0]], [[-1, 0], [5, 1], [-1, 3], [-1, -4], [-1, -3], [-1, -2]], [[-1, 2], [5, 4], [-1, 5], [-1, -4], [-1, -3], [-1, -2]], [[1, 0], [1, 1], [1, 2], [1, -5], [6, -3], [1, -2]], [[6, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 0], [1, 1], [1, 2], [1, 4], [6, 5], [1, -4]], [[1, 1], [6, 3], [1, 4], [1, -5], [1, -4], [1, -3]], [[-1, 0], [-1, 4], [-1, 5], [-1, -5], [-1, -3], [5, -2]], [[-5, 0], [-6, 1], [-5, 2], [-5, 3], [-5, 4], [-6, 5], [-6, -5], [-6, -4], [-5, -3], [-6, -2]], [[-6, 0], [-5, 1], [-6, 2], [-6, 3], [-6, 4], [-5, 5], [-5, -5], [-5, -4], [-6, -3], [-5, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 7797942
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id: 7797943
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id: 7797944
{'center': '6655.a1.a1', 'center_index': 6655, 'center_order': 11, 'counter': 86, 'cyclotomic_n': 11, 'dim': 55, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': None, 'image_order': 73205, 'indicator': 0, 'kernel': '73205.a1.a1', 'kernel_order': 1, 'label': '73205.j.55b5', 'nt': [605, 0], 'q_character': None, 'values': [[[55, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[55, -3]], [[55, 5]], [[55, 4]], [[55, 1]], [[55, 2]], [[55, 3]], [[55, -5]], [[55, -1]], [[55, -2]], [[55, -4]], [[-1, 0], [-1, 1], [-1, 2], [-1, -5], [5, -3], [-1, -2]], [[1, 0], [6, 1], [1, 3], [1, -4], [1, -3], [1, -2]], [[-5, 0], [-6, 1], [-5, 2], [-5, 3], [-5, 4], [-6, 5], [-6, -5], [-6, -4], [-5, -3], [-6, -2]], [[1, 0], [1, 4], [1, 5], [1, -5], [1, -3], [6, -2]], [[0, 0]], [[1, 2], [6, 4], [1, 5], [1, -4], [1, -3], [1, -2]], [[-1, 0], [5, 1], [-1, 3], [-1, -4], [-1, -3], [-1, -2]], [[6, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [6, 3], [1, 4], [1, -5], [1, -4], [1, -3]], [[-1, 0], [5, 2], [-1, 3], [-1, 5], [-1, -5], [-1, -4]], [[-1, 1], [-1, 2], [-1, 3], [-1, 5], [5, -5], [-1, -3]], [[-1, 1], [5, 3], [-1, 4], [-1, -5], [-1, -4], [-1, -3]], [[-1, 0], [-1, 4], [-1, 5], [-1, -5], [-1, -3], [5, -2]], [[-1, 2], [-1, 3], [-1, 4], [-1, -5], [5, -4], [-1, -2]], [[0, 0]], [[1, 1], [1, 2], [1, 3], [1, 5], [6, -5], [1, -3]], [[1, 0], [6, 2], [1, 3], [1, 5], [1, -5], [1, -4]], [[-1, 2], [5, 4], [-1, 5], [-1, -4], [-1, -3], [-1, -2]], [[5, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 1], [1, 2], [1, -5], [6, -3], [1, -2]], [[1, 2], [1, 3], [1, 4], [1, -5], [6, -4], [1, -2]], [[-6, 0], [-5, 1], [-6, 2], [-6, 3], [-6, 4], [-5, 5], [-5, -5], [-5, -4], [-6, -3], [-5, -2]], [[1, 0], [1, 1], [1, 2], [1, 4], [6, 5], [1, -4]], [[-1, 0], [-1, 1], [-1, 2], [-1, 4], [5, 5], [-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7797945
{'center': '6655.a1.a1', 'center_index': 6655, 'center_order': 11, 'counter': 87, 'cyclotomic_n': 11, 'dim': 55, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': None, 'image_order': 73205, 'indicator': 0, 'kernel': '73205.a1.a1', 'kernel_order': 1, 'label': '73205.j.55b6', 'nt': [605, 10], 'q_character': None, 'values': [[[55, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[55, 3]], [[55, -5]], [[55, -4]], [[55, -1]], [[55, -2]], [[55, -3]], [[55, 5]], [[55, 1]], [[55, 2]], [[55, 4]], [[1, 1], [6, 3], [1, 4], [1, -5], [1, -4], [1, -3]], [[-5, 0], [-6, 1], [-5, 2], [-5, 3], [-5, 4], [-6, 5], [-6, -5], [-6, -4], [-5, -3], [-6, -2]], [[1, 0], [6, 1], [1, 3], [1, -4], [1, -3], [1, -2]], [[1, 0], [6, 2], [1, 3], [1, 5], [1, -5], [1, -4]], [[0, 0]], [[1, 2], [1, 3], [1, 4], [1, -5], [6, -4], [1, -2]], [[-6, 0], [-5, 1], [-6, 2], [-6, 3], [-6, 4], [-5, 5], [-5, -5], [-5, -4], [-6, -3], [-5, -2]], [[5, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 2], [-1, -5], [5, -3], [-1, -2]], [[-1, 0], [-1, 4], [-1, 5], [-1, -5], [-1, -3], [5, -2]], [[1, 0], [1, 1], [1, 2], [1, 4], [6, 5], [1, -4]], [[1, 0], [1, 1], [1, 2], [1, -5], [6, -3], [1, -2]], [[-1, 0], [5, 2], [-1, 3], [-1, 5], [-1, -5], [-1, -4]], [[-1, 2], [5, 4], [-1, 5], [-1, -4], [-1, -3], [-1, -2]], [[0, 0]], [[-1, 0], [-1, 1], [-1, 2], [-1, 4], [5, 5], [-1, -4]], [[1, 0], [1, 4], [1, 5], [1, -5], [1, -3], [6, -2]], [[-1, 2], [-1, 3], [-1, 4], [-1, -5], [5, -4], [-1, -2]], [[6, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [5, 3], [-1, 4], [-1, -5], [-1, -4], [-1, -3]], [[1, 2], [6, 4], [1, 5], [1, -4], [1, -3], [1, -2]], [[-1, 0], [5, 1], [-1, 3], [-1, -4], [-1, -3], [-1, -2]], [[-1, 1], [-1, 2], [-1, 3], [-1, 5], [5, -5], [-1, -3]], [[1, 1], [1, 2], [1, 3], [1, 5], [6, -5], [1, -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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7797946
{'center': '6655.a1.a1', 'center_index': 6655, 'center_order': 11, 'counter': 88, 'cyclotomic_n': 11, 'dim': 55, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': None, 'image_order': 73205, 'indicator': 0, 'kernel': '73205.a1.a1', 'kernel_order': 1, 'label': '73205.j.55b7', 'nt': [605, 0], 'q_character': None, 'values': [[[55, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[55, -2]], [[55, -4]], [[55, -1]], [[55, -3]], [[55, 5]], [[55, 2]], [[55, 4]], [[55, 3]], [[55, -5]], [[55, 1]], [[-1, 0], [-1, 4], [-1, 5], [-1, -5], [-1, -3], [5, -2]], [[1, 0], [1, 1], [1, 2], [1, -5], [6, -3], [1, -2]], [[-1, 1], [5, 3], [-1, 4], [-1, -5], [-1, -4], [-1, -3]], [[-1, 1], [-1, 2], [-1, 3], [-1, 5], [5, -5], [-1, -3]], [[0, 0]], [[-6, 0], [-5, 1], [-6, 2], [-6, 3], [-6, 4], [-5, 5], [-5, -5], [-5, -4], [-6, -3], [-5, -2]], [[-1, 0], [-1, 1], [-1, 2], [-1, -5], [5, -3], [-1, -2]], [[5, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [5, 2], [-1, 3], [-1, 5], [-1, -5], [-1, -4]], [[-1, 0], [-1, 1], [-1, 2], [-1, 4], [5, 5], [-1, -4]], [[-1, 2], [5, 4], [-1, 5], [-1, -4], [-1, -3], [-1, -2]], [[1, 0], [6, 2], [1, 3], [1, 5], [1, -5], [1, -4]], [[1, 1], [1, 2], [1, 3], [1, 5], [6, -5], [1, -3]], [[1, 0], [6, 1], [1, 3], [1, -4], [1, -3], [1, -2]], [[0, 0]], [[1, 2], [6, 4], [1, 5], [1, -4], [1, -3], [1, -2]], [[1, 0], [1, 1], [1, 2], [1, 4], [6, 5], [1, -4]], [[-5, 0], [-6, 1], [-5, 2], [-5, 3], [-5, 4], [-6, 5], [-6, -5], [-6, -4], [-5, -3], [-6, -2]], [[6, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 0], [1, 4], [1, 5], [1, -5], [1, -3], [6, -2]], [[-1, 0], [5, 1], [-1, 3], [-1, -4], [-1, -3], [-1, -2]], [[1, 1], [6, 3], [1, 4], [1, -5], [1, -4], [1, -3]], [[-1, 2], [-1, 3], [-1, 4], [-1, -5], [5, -4], [-1, -2]], [[1, 2], [1, 3], [1, 4], [1, -5], [6, -4], [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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7797947
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id: 7797949
{'center': '6655.a1.a1', 'center_index': 6655, 'center_order': 11, 'counter': 90, 'cyclotomic_n': 11, 'dim': 55, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': None, 'image_order': 73205, 'indicator': 0, 'kernel': '73205.a1.a1', 'kernel_order': 1, 'label': '73205.j.55b9', 'nt': [605, 0], 'q_character': None, 'values': [[[55, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[55, -1]], [[55, -2]], [[55, 5]], [[55, 4]], [[55, -3]], [[55, 1]], [[55, 2]], [[55, -4]], [[55, 3]], [[55, -5]], [[-6, 0], [-5, 1], [-6, 2], [-6, 3], [-6, 4], [-5, 5], [-5, -5], [-5, -4], [-6, -3], [-5, -2]], [[-1, 2], [5, 4], [-1, 5], [-1, -4], [-1, -3], [-1, -2]], [[-1, 2], [-1, 3], [-1, 4], [-1, -5], [5, -4], [-1, -2]], [[-1, 1], [5, 3], [-1, 4], [-1, -5], [-1, -4], [-1, -3]], [[0, 0]], [[-1, 0], [-1, 1], [-1, 2], [-1, 4], [5, 5], [-1, -4]], [[1, 2], [6, 4], [1, 5], [1, -4], [1, -3], [1, -2]], [[6, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [5, 1], [-1, 3], [-1, -4], [-1, -3], [-1, -2]], [[-1, 0], [-1, 1], [-1, 2], [-1, -5], [5, -3], [-1, -2]], [[1, 0], [6, 2], [1, 3], [1, 5], [1, -5], [1, -4]], [[1, 0], [6, 1], [1, 3], [1, -4], [1, -3], [1, -2]], [[1, 1], [6, 3], [1, 4], [1, -5], [1, -4], [1, -3]], [[-1, 1], [-1, 2], [-1, 3], [-1, 5], [5, -5], [-1, -3]], [[0, 0]], [[-1, 0], [5, 2], [-1, 3], [-1, 5], [-1, -5], [-1, -4]], [[1, 0], [1, 1], [1, 2], [1, -5], [6, -3], [1, -2]], [[1, 0], [1, 1], [1, 2], [1, 4], [6, 5], [1, -4]], [[5, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-5, 0], [-6, 1], [-5, 2], [-5, 3], [-5, 4], [-6, 5], [-6, -5], [-6, -4], [-5, -3], [-6, -2]], [[1, 1], [1, 2], [1, 3], [1, 5], [6, -5], [1, -3]], [[1, 2], [1, 3], [1, 4], [1, -5], [6, -4], [1, -2]], [[1, 0], [1, 4], [1, 5], [1, -5], [1, -3], [6, -2]], [[-1, 0], [-1, 4], [-1, 5], [-1, -5], [-1, -3], [5, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 7797951
{'center': '6655.a1.a1', 'center_index': 6655, 'center_order': 11, 'counter': 92, 'cyclotomic_n': 11, 'dim': 55, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': None, 'image_order': 73205, 'indicator': 0, 'kernel': '73205.a1.a1', 'kernel_order': 1, 'label': '73205.j.55c1', 'nt': [605, 0], 'q_character': None, 'values': [[[55, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[55, -5]], [[55, 1]], [[55, 3]], [[55, -2]], [[55, -4]], [[55, 5]], [[55, -1]], [[55, 2]], [[55, 4]], [[55, -3]], [[1, 1], [1, 2], [1, 3], [1, 5], [-5, -5], [1, -3]], [[1, 0], [1, 4], [1, 5], [1, -5], [1, -3], [-5, -2]], [[1, 0], [-5, 2], [1, 3], [1, 5], [1, -5], [1, -4]], [[-1, 2], [-6, 4], [-1, 5], [-1, -4], [-1, -3], [-1, -2]], [[0, 0]], [[1, 1], [-5, 3], [1, 4], [1, -5], [1, -4], [1, -3]], [[-1, 0], [-1, 4], [-1, 5], [-1, -5], [-1, -3], [-6, -2]], [[-5, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 2], [-1, 4], [-6, 5], [-1, -4]], [[1, 2], [1, 3], [1, 4], [1, -5], [-5, -4], [1, -2]], [[6, 0], [5, 1], [6, 2], [6, 3], [6, 4], [5, 5], [5, -5], [5, -4], [6, -3], [5, -2]], [[1, 0], [1, 1], [1, 2], [1, 4], [-5, 5], [1, -4]], [[1, 2], [-5, 4], [1, 5], [1, -4], [1, -3], [1, -2]], [[1, 0], [1, 1], [1, 2], [1, -5], [-5, -3], [1, -2]], [[0, 0]], [[5, 0], [6, 1], [5, 2], [5, 3], [5, 4], [6, 5], [6, -5], [6, -4], [5, -3], [6, -2]], [[-1, 2], [-1, 3], [-1, 4], [-1, -5], [-6, -4], [-1, -2]], [[-1, 1], [-6, 3], [-1, 4], [-1, -5], [-1, -4], [-1, -3]], [[-6, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 1], [-1, 2], [-1, 3], [-1, 5], [-6, -5], [-1, -3]], [[-1, 0], [-1, 1], [-1, 2], [-1, -5], [-6, -3], [-1, -2]], [[-1, 0], [-6, 2], [-1, 3], [-1, 5], [-1, -5], [-1, -4]], [[1, 0], [-5, 1], [1, 3], [1, -4], [1, -3], [1, -2]], [[-1, 0], [-6, 1], [-1, 3], [-1, -4], [-1, -3], [-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7797861
{'center': '6655.a1.a1', 'center_index': 6655, 'center_order': 11, 'counter': 101, 'cyclotomic_n': 11, 'dim': 55, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': None, 'image_order': 73205, 'indicator': 0, 'kernel': '73205.a1.a1', 'kernel_order': 1, 'label': '73205.j.55c10', 'nt': [605, 10], 'q_character': None, 'values': [[[55, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[55, 1]], [[55, 2]], [[55, -5]], [[55, -4]], [[55, 3]], [[55, -1]], [[55, -2]], [[55, 4]], [[55, -3]], [[55, 5]], [[-1, 0], [-6, 1], [-1, 3], [-1, -4], [-1, -3], [-1, -2]], [[-1, 2], [-1, 3], [-1, 4], [-1, -5], [-6, -4], [-1, -2]], [[-1, 2], [-6, 4], [-1, 5], [-1, -4], [-1, -3], [-1, -2]], [[1, 0], [1, 1], [1, 2], [1, -5], [-5, -3], [1, -2]], [[0, 0]], [[1, 1], [1, 2], [1, 3], [1, 5], [-5, -5], [1, -3]], [[1, 2], [1, 3], [1, 4], [1, -5], [-5, -4], [1, -2]], [[-6, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[5, 0], [6, 1], [5, 2], [5, 3], [5, 4], [6, 5], [6, -5], [6, -4], [5, -3], [6, -2]], [[1, 1], [-5, 3], [1, 4], [1, -5], [1, -4], [1, -3]], [[1, 0], [1, 4], [1, 5], [1, -5], [1, -3], [-5, -2]], [[6, 0], [5, 1], [6, 2], [6, 3], [6, 4], [5, 5], [5, -5], [5, -4], [6, -3], [5, -2]], [[-1, 0], [-1, 1], [-1, 2], [-1, -5], [-6, -3], [-1, -2]], [[1, 0], [1, 1], [1, 2], [1, 4], [-5, 5], [1, -4]], [[0, 0]], [[-1, 0], [-1, 4], [-1, 5], [-1, -5], [-1, -3], [-6, -2]], [[-1, 1], [-6, 3], [-1, 4], [-1, -5], [-1, -4], [-1, -3]], [[-1, 1], [-1, 2], [-1, 3], [-1, 5], [-6, -5], [-1, -3]], [[-5, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 0], [-5, 1], [1, 3], [1, -4], [1, -3], [1, -2]], [[-1, 0], [-1, 1], [-1, 2], [-1, 4], [-6, 5], [-1, -4]], [[1, 2], [-5, 4], [1, 5], [1, -4], [1, -3], [1, -2]], [[1, 0], [-5, 2], [1, 3], [1, 5], [1, -5], [1, -4]], [[-1, 0], [-6, 2], [-1, 3], [-1, 5], [-1, -5], [-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7797952
{'center': '6655.a1.a1', 'center_index': 6655, 'center_order': 11, 'counter': 93, 'cyclotomic_n': 11, 'dim': 55, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': None, 'image_order': 73205, 'indicator': 0, 'kernel': '73205.a1.a1', 'kernel_order': 1, 'label': '73205.j.55c2', 'nt': [605, 10], 'q_character': None, 'values': [[[55, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[55, 5]], [[55, -1]], [[55, -3]], [[55, 2]], [[55, 4]], [[55, -5]], [[55, 1]], [[55, -2]], [[55, -4]], [[55, 3]], [[-1, 0], [-1, 1], [-1, 2], [-1, 4], [-6, 5], [-1, -4]], [[1, 0], [-5, 2], [1, 3], [1, 5], [1, -5], [1, -4]], [[1, 0], [1, 4], [1, 5], [1, -5], [1, -3], [-5, -2]], [[-1, 2], [-1, 3], [-1, 4], [-1, -5], [-6, -4], [-1, -2]], [[0, 0]], [[-1, 0], [-1, 1], [-1, 2], [-1, -5], [-6, -3], [-1, -2]], [[-1, 0], [-6, 2], [-1, 3], [-1, 5], [-1, -5], [-1, -4]], [[-6, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 2], [1, 3], [1, 5], [-5, -5], [1, -3]], [[1, 2], [-5, 4], [1, 5], [1, -4], [1, -3], [1, -2]], [[1, 0], [-5, 1], [1, 3], [1, -4], [1, -3], [1, -2]], [[-1, 1], [-1, 2], [-1, 3], [-1, 5], [-6, -5], [-1, -3]], [[1, 2], [1, 3], [1, 4], [1, -5], [-5, -4], [1, -2]], [[-1, 1], [-6, 3], [-1, 4], [-1, -5], [-1, -4], [-1, -3]], [[0, 0]], [[-1, 0], [-6, 1], [-1, 3], [-1, -4], [-1, -3], [-1, -2]], [[-1, 2], [-6, 4], [-1, 5], [-1, -4], [-1, -3], [-1, -2]], [[1, 0], [1, 1], [1, 2], [1, -5], [-5, -3], [1, -2]], [[-5, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 0], [1, 1], [1, 2], [1, 4], [-5, 5], [1, -4]], [[1, 1], [-5, 3], [1, 4], [1, -5], [1, -4], [1, -3]], [[-1, 0], [-1, 4], [-1, 5], [-1, -5], [-1, -3], [-6, -2]], [[6, 0], [5, 1], [6, 2], [6, 3], [6, 4], [5, 5], [5, -5], [5, -4], [6, -3], [5, -2]], [[5, 0], [6, 1], [5, 2], [5, 3], [5, 4], [6, 5], [6, -5], [6, -4], [5, -3], [6, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 7797953
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id: 7797954
{'center': '6655.a1.a1', 'center_index': 6655, 'center_order': 11, 'counter': 95, 'cyclotomic_n': 11, 'dim': 55, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': None, 'image_order': 73205, 'indicator': 0, 'kernel': '73205.a1.a1', 'kernel_order': 1, 'label': '73205.j.55c4', 'nt': [605, 10], 'q_character': None, 'values': [[[55, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[55, 4]], [[55, -3]], [[55, 2]], [[55, -5]], [[55, 1]], [[55, -4]], [[55, 3]], [[55, 5]], [[55, -1]], [[55, -2]], [[1, 2], [-5, 4], [1, 5], [1, -4], [1, -3], [1, -2]], [[-1, 1], [-1, 2], [-1, 3], [-1, 5], [-6, -5], [-1, -3]], [[1, 0], [1, 1], [1, 2], [1, 4], [-5, 5], [1, -4]], [[6, 0], [5, 1], [6, 2], [6, 3], [6, 4], [5, 5], [5, -5], [5, -4], [6, -3], [5, -2]], [[0, 0]], [[-1, 0], [-6, 2], [-1, 3], [-1, 5], [-1, -5], [-1, -4]], [[1, 1], [1, 2], [1, 3], [1, 5], [-5, -5], [1, -3]], [[-6, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 2], [1, 3], [1, 4], [1, -5], [-5, -4], [1, -2]], [[-1, 0], [-6, 1], [-1, 3], [-1, -4], [-1, -3], [-1, -2]], [[-1, 1], [-6, 3], [-1, 4], [-1, -5], [-1, -4], [-1, -3]], [[-1, 2], [-1, 3], [-1, 4], [-1, -5], [-6, -4], [-1, -2]], [[5, 0], [6, 1], [5, 2], [5, 3], [5, 4], [6, 5], [6, -5], [6, -4], [5, -3], [6, -2]], [[1, 0], [1, 4], [1, 5], [1, -5], [1, -3], [-5, -2]], [[0, 0]], [[1, 1], [-5, 3], [1, 4], [1, -5], [1, -4], [1, -3]], [[1, 0], [-5, 1], [1, 3], [1, -4], [1, -3], [1, -2]], [[1, 0], [-5, 2], [1, 3], [1, 5], [1, -5], [1, -4]], [[-5, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 2], [-6, 4], [-1, 5], [-1, -4], [-1, -3], [-1, -2]], [[-1, 0], [-1, 4], [-1, 5], [-1, -5], [-1, -3], [-6, -2]], [[-1, 0], [-1, 1], [-1, 2], [-1, 4], [-6, 5], [-1, -4]], [[1, 0], [1, 1], [1, 2], [1, -5], [-5, -3], [1, -2]], [[-1, 0], [-1, 1], [-1, 2], [-1, -5], [-6, -3], [-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7797955
{'center': '6655.a1.a1', 'center_index': 6655, 'center_order': 11, 'counter': 96, 'cyclotomic_n': 11, 'dim': 55, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': None, 'image_order': 73205, 'indicator': 0, 'kernel': '73205.a1.a1', 'kernel_order': 1, 'label': '73205.j.55c5', 'nt': [605, 0], 'q_character': None, 'values': [[[55, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[55, -3]], [[55, 5]], [[55, 4]], [[55, 1]], [[55, 2]], [[55, 3]], [[55, -5]], [[55, -1]], [[55, -2]], [[55, -4]], [[-1, 0], [-1, 1], [-1, 2], [-1, -5], [-6, -3], [-1, -2]], [[1, 0], [-5, 1], [1, 3], [1, -4], [1, -3], [1, -2]], [[6, 0], [5, 1], [6, 2], [6, 3], [6, 4], [5, 5], [5, -5], [5, -4], [6, -3], [5, -2]], [[1, 0], [1, 4], [1, 5], [1, -5], [1, -3], [-5, -2]], [[0, 0]], [[1, 2], [-5, 4], [1, 5], [1, -4], [1, -3], [1, -2]], [[-1, 0], [-6, 1], [-1, 3], [-1, -4], [-1, -3], [-1, -2]], [[-5, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [-5, 3], [1, 4], [1, -5], [1, -4], [1, -3]], [[-1, 0], [-6, 2], [-1, 3], [-1, 5], [-1, -5], [-1, -4]], [[-1, 1], [-1, 2], [-1, 3], [-1, 5], [-6, -5], [-1, -3]], [[-1, 1], [-6, 3], [-1, 4], [-1, -5], [-1, -4], [-1, -3]], [[-1, 0], [-1, 4], [-1, 5], [-1, -5], [-1, -3], [-6, -2]], [[-1, 2], [-1, 3], [-1, 4], [-1, -5], [-6, -4], [-1, -2]], [[0, 0]], [[1, 1], [1, 2], [1, 3], [1, 5], [-5, -5], [1, -3]], [[1, 0], [-5, 2], [1, 3], [1, 5], [1, -5], [1, -4]], [[-1, 2], [-6, 4], [-1, 5], [-1, -4], [-1, -3], [-1, -2]], [[-6, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 1], [1, 2], [1, -5], [-5, -3], [1, -2]], [[1, 2], [1, 3], [1, 4], [1, -5], [-5, -4], [1, -2]], [[5, 0], [6, 1], [5, 2], [5, 3], [5, 4], [6, 5], [6, -5], [6, -4], [5, -3], [6, -2]], [[1, 0], [1, 1], [1, 2], [1, 4], [-5, 5], [1, -4]], [[-1, 0], [-1, 1], [-1, 2], [-1, 4], [-6, 5], [-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7797956
{'center': '6655.a1.a1', 'center_index': 6655, 'center_order': 11, 'counter': 97, 'cyclotomic_n': 11, 'dim': 55, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': None, 'image_order': 73205, 'indicator': 0, 'kernel': '73205.a1.a1', 'kernel_order': 1, 'label': '73205.j.55c6', 'nt': [605, 10], 'q_character': None, 'values': [[[55, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[55, 3]], [[55, -5]], [[55, -4]], [[55, -1]], [[55, -2]], [[55, -3]], [[55, 5]], [[55, 1]], [[55, 2]], [[55, 4]], [[1, 1], [-5, 3], [1, 4], [1, -5], [1, -4], [1, -3]], [[6, 0], [5, 1], [6, 2], [6, 3], [6, 4], [5, 5], [5, -5], [5, -4], [6, -3], [5, -2]], [[1, 0], [-5, 1], [1, 3], [1, -4], [1, -3], [1, -2]], [[1, 0], [-5, 2], [1, 3], [1, 5], [1, -5], [1, -4]], [[0, 0]], [[1, 2], [1, 3], [1, 4], [1, -5], [-5, -4], [1, -2]], [[5, 0], [6, 1], [5, 2], [5, 3], [5, 4], [6, 5], [6, -5], [6, -4], [5, -3], [6, -2]], [[-6, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 2], [-1, -5], [-6, -3], [-1, -2]], [[-1, 0], [-1, 4], [-1, 5], [-1, -5], [-1, -3], [-6, -2]], [[1, 0], [1, 1], [1, 2], [1, 4], [-5, 5], [1, -4]], [[1, 0], [1, 1], [1, 2], [1, -5], [-5, -3], [1, -2]], [[-1, 0], [-6, 2], [-1, 3], [-1, 5], [-1, -5], [-1, -4]], [[-1, 2], [-6, 4], [-1, 5], [-1, -4], [-1, -3], [-1, -2]], [[0, 0]], [[-1, 0], [-1, 1], [-1, 2], [-1, 4], [-6, 5], [-1, -4]], [[1, 0], [1, 4], [1, 5], [1, -5], [1, -3], [-5, -2]], [[-1, 2], [-1, 3], [-1, 4], [-1, -5], [-6, -4], [-1, -2]], [[-5, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [-6, 3], [-1, 4], [-1, -5], [-1, -4], [-1, -3]], [[1, 2], [-5, 4], [1, 5], [1, -4], [1, -3], [1, -2]], [[-1, 0], [-6, 1], [-1, 3], [-1, -4], [-1, -3], [-1, -2]], [[-1, 1], [-1, 2], [-1, 3], [-1, 5], [-6, -5], [-1, -3]], [[1, 1], [1, 2], [1, 3], [1, 5], [-5, -5], [1, -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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7797957
{'center': '6655.a1.a1', 'center_index': 6655, 'center_order': 11, 'counter': 98, 'cyclotomic_n': 11, 'dim': 55, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': None, 'image_order': 73205, 'indicator': 0, 'kernel': '73205.a1.a1', 'kernel_order': 1, 'label': '73205.j.55c7', 'nt': [605, 0], 'q_character': None, 'values': [[[55, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[55, -2]], [[55, -4]], [[55, -1]], [[55, -3]], [[55, 5]], [[55, 2]], [[55, 4]], [[55, 3]], [[55, -5]], [[55, 1]], [[-1, 0], [-1, 4], [-1, 5], [-1, -5], [-1, -3], [-6, -2]], [[1, 0], [1, 1], [1, 2], [1, -5], [-5, -3], [1, -2]], [[-1, 1], [-6, 3], [-1, 4], [-1, -5], [-1, -4], [-1, -3]], [[-1, 1], [-1, 2], [-1, 3], [-1, 5], [-6, -5], [-1, -3]], [[0, 0]], [[5, 0], [6, 1], [5, 2], [5, 3], [5, 4], [6, 5], [6, -5], [6, -4], [5, -3], [6, -2]], [[-1, 0], [-1, 1], [-1, 2], [-1, -5], [-6, -3], [-1, -2]], [[-6, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-6, 2], [-1, 3], [-1, 5], [-1, -5], [-1, -4]], [[-1, 0], [-1, 1], [-1, 2], [-1, 4], [-6, 5], [-1, -4]], [[-1, 2], [-6, 4], [-1, 5], [-1, -4], [-1, -3], [-1, -2]], [[1, 0], [-5, 2], [1, 3], [1, 5], [1, -5], [1, -4]], [[1, 1], [1, 2], [1, 3], [1, 5], [-5, -5], [1, -3]], [[1, 0], [-5, 1], [1, 3], [1, -4], [1, -3], [1, -2]], [[0, 0]], [[1, 2], [-5, 4], [1, 5], [1, -4], [1, -3], [1, -2]], [[1, 0], [1, 1], [1, 2], [1, 4], [-5, 5], [1, -4]], [[6, 0], [5, 1], [6, 2], [6, 3], [6, 4], [5, 5], [5, -5], [5, -4], [6, -3], [5, -2]], [[-5, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 0], [1, 4], [1, 5], [1, -5], [1, -3], [-5, -2]], [[-1, 0], [-6, 1], [-1, 3], [-1, -4], [-1, -3], [-1, -2]], [[1, 1], [-5, 3], [1, 4], [1, -5], [1, -4], [1, -3]], [[-1, 2], [-1, 3], [-1, 4], [-1, -5], [-6, -4], [-1, -2]], [[1, 2], [1, 3], [1, 4], [1, -5], [-5, -4], [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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7797958
{'center': '6655.a1.a1', 'center_index': 6655, 'center_order': 11, 'counter': 99, 'cyclotomic_n': 11, 'dim': 55, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': None, 'image_order': 73205, 'indicator': 0, 'kernel': '73205.a1.a1', 'kernel_order': 1, 'label': '73205.j.55c8', 'nt': [605, 10], 'q_character': None, 'values': [[[55, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[55, 2]], [[55, 4]], [[55, 1]], [[55, 3]], [[55, -5]], [[55, -2]], [[55, -4]], [[55, -3]], [[55, 5]], [[55, -1]], [[-1, 0], [-6, 2], [-1, 3], [-1, 5], [-1, -5], [-1, -4]], [[-1, 1], [-6, 3], [-1, 4], [-1, -5], [-1, -4], [-1, -3]], [[1, 0], [1, 1], [1, 2], [1, -5], [-5, -3], [1, -2]], [[1, 0], [1, 1], [1, 2], [1, 4], [-5, 5], [1, -4]], [[0, 0]], [[-1, 0], [-6, 1], [-1, 3], [-1, -4], [-1, -3], [-1, -2]], [[1, 1], [-5, 3], [1, 4], [1, -5], [1, -4], [1, -3]], [[-5, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 4], [-1, 5], [-1, -5], [-1, -3], [-6, -2]], [[1, 1], [1, 2], [1, 3], [1, 5], [-5, -5], [1, -3]], [[-1, 2], [-1, 3], [-1, 4], [-1, -5], [-6, -4], [-1, -2]], [[1, 0], [1, 4], [1, 5], [1, -5], [1, -3], [-5, -2]], [[-1, 0], [-1, 1], [-1, 2], [-1, 4], [-6, 5], [-1, -4]], [[6, 0], [5, 1], [6, 2], [6, 3], [6, 4], [5, 5], [5, -5], [5, -4], [6, -3], [5, -2]], [[0, 0]], [[1, 2], [1, 3], [1, 4], [1, -5], [-5, -4], [1, -2]], [[-1, 1], [-1, 2], [-1, 3], [-1, 5], [-6, -5], [-1, -3]], [[1, 0], [-5, 1], [1, 3], [1, -4], [1, -3], [1, -2]], [[-6, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [-5, 2], [1, 3], [1, 5], [1, -5], [1, -4]], [[5, 0], [6, 1], [5, 2], [5, 3], [5, 4], [6, 5], [6, -5], [6, -4], [5, -3], [6, -2]], [[-1, 0], [-1, 1], [-1, 2], [-1, -5], [-6, -3], [-1, -2]], [[-1, 2], [-6, 4], [-1, 5], [-1, -4], [-1, -3], [-1, -2]], [[1, 2], [-5, 4], [1, 5], [1, -4], [1, -3], [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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 7797860
{'center': '6655.a1.a1', 'center_index': 6655, 'center_order': 11, 'counter': 100, 'cyclotomic_n': 11, 'dim': 55, 'faithful': True, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '73205.j', 'group_counter': 10, 'group_order': 73205, 'image': None, 'image_isoclass': None, 'image_order': 73205, 'indicator': 0, 'kernel': '73205.a1.a1', 'kernel_order': 1, 'label': '73205.j.55c9', 'nt': [605, 0], 'q_character': None, 'values': [[[55, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[55, -1]], [[55, -2]], [[55, 5]], [[55, 4]], [[55, -3]], [[55, 1]], [[55, 2]], [[55, -4]], [[55, 3]], [[55, -5]], [[5, 0], [6, 1], [5, 2], [5, 3], [5, 4], [6, 5], [6, -5], [6, -4], [5, -3], [6, -2]], [[-1, 2], [-6, 4], [-1, 5], [-1, -4], [-1, -3], [-1, -2]], [[-1, 2], [-1, 3], [-1, 4], [-1, -5], [-6, -4], [-1, -2]], [[-1, 1], [-6, 3], [-1, 4], [-1, -5], [-1, -4], [-1, -3]], [[0, 0]], [[-1, 0], [-1, 1], [-1, 2], [-1, 4], [-6, 5], [-1, -4]], [[1, 2], [-5, 4], [1, 5], [1, -4], [1, -3], [1, -2]], [[-5, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-6, 1], [-1, 3], [-1, -4], [-1, -3], [-1, -2]], [[-1, 0], [-1, 1], [-1, 2], [-1, -5], [-6, -3], [-1, -2]], [[1, 0], [-5, 2], [1, 3], [1, 5], [1, -5], [1, -4]], [[1, 0], [-5, 1], [1, 3], [1, -4], [1, -3], [1, -2]], [[1, 1], [-5, 3], [1, 4], [1, -5], [1, -4], [1, -3]], [[-1, 1], [-1, 2], [-1, 3], [-1, 5], [-6, -5], [-1, -3]], [[0, 0]], [[-1, 0], [-6, 2], [-1, 3], [-1, 5], [-1, -5], [-1, -4]], [[1, 0], [1, 1], [1, 2], [1, -5], [-5, -3], [1, -2]], [[1, 0], [1, 1], [1, 2], [1, 4], [-5, 5], [1, -4]], [[-6, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[6, 0], [5, 1], [6, 2], [6, 3], [6, 4], [5, 5], [5, -5], [5, -4], [6, -3], [5, -2]], [[1, 1], [1, 2], [1, 3], [1, 5], [-5, -5], [1, -3]], [[1, 2], [1, 3], [1, 4], [1, -5], [-5, -4], [1, -2]], [[1, 0], [1, 4], [1, 5], [1, -5], [1, -3], [-5, -2]], [[-1, 0], [-1, 4], [-1, 5], [-1, -5], [-1, -3], [-6, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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gps_subgroup_search • Show schema
Hide schema
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id: 68310399
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '73205.j', 'ambient_counter': 10, 'ambient_order': 73205, 'ambient_tex': 'C_{11}^3:(C_{11}:C_5)', 'central': False, 'central_factor': False, 'centralizer_order': 11, 'characteristic': True, 'core_order': 73205, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 55, 'label': '73205.j.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '73205.j', 'subgroup_hash': 741975403978328629, 'subgroup_order': 73205, 'subgroup_tex': 'C_{11}^3:(C_{11}:C_5)', 'supersolvable': True, 'sylow': 0}
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id: 68310410
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '73205.j', 'ambient_counter': 10, 'ambient_order': 73205, 'ambient_tex': 'C_{11}^3:(C_{11}:C_5)', 'central': False, 'central_factor': False, 'centralizer_order': 11, 'characteristic': True, 'core_order': 14641, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 11, 'label': '73205.j.5.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '5.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '5.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 5, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5', 'simple': False, 'solvable': True, 'special_labels': ['D', 'F', 'L1', 'D1', 'C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7, 'subgroup_order': 14641, 'subgroup_tex': 'C_{11}^3.C_{11}', 'supersolvable': True, 'sylow': 11}
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id: 68310421
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '73205.j', 'ambient_counter': 10, 'ambient_order': 73205, 'ambient_tex': 'C_{11}^3:(C_{11}:C_5)', 'central': False, 'central_factor': False, 'centralizer_order': 11, 'characteristic': False, 'core_order': 1331, 'counter': 3, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '73205.j.11.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 15, 'subgroup_order': 6655, 'subgroup_tex': 'C_{11}^3:C_5', 'supersolvable': True, 'sylow': 0}
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id: 68310427
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '73205.j', 'ambient_counter': 10, 'ambient_order': 73205, 'ambient_tex': 'C_{11}^3:(C_{11}:C_5)', 'central': False, 'central_factor': False, 'centralizer_order': 11, 'characteristic': False, 'core_order': 1331, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '73205.j.11.b1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 22, 'subgroup_order': 6655, 'subgroup_tex': '\\He_{11}:C_5', 'supersolvable': True, 'sylow': 0}
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id: 68310428
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '73205.j', 'ambient_counter': 10, 'ambient_order': 73205, 'ambient_tex': 'C_{11}^3:(C_{11}:C_5)', 'central': False, 'central_factor': False, 'centralizer_order': 1331, 'characteristic': True, 'core_order': 1331, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '73205.j.55.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '55.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '55.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 55, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}:C_5', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1331.5', 'subgroup_hash': 5, 'subgroup_order': 1331, 'subgroup_tex': 'C_{11}^3', 'supersolvable': True, 'sylow': 0}
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id: 68310429
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '73205.j', 'ambient_counter': 10, 'ambient_order': 73205, 'ambient_tex': 'C_{11}^3:(C_{11}:C_5)', 'central': False, 'central_factor': False, 'centralizer_order': 11, 'characteristic': True, 'core_order': 1331, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '73205.j.55.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '55.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '55.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 55, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}:C_5', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1331.3', 'subgroup_hash': 3, 'subgroup_order': 1331, 'subgroup_tex': '\\He_{11}', 'supersolvable': True, 'sylow': 0}
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id: 68310430
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '73205.j', 'ambient_counter': 10, 'ambient_order': 73205, 'ambient_tex': 'C_{11}^3:(C_{11}:C_5)', 'central': False, 'central_factor': False, 'centralizer_order': 11, 'characteristic': False, 'core_order': 121, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '73205.j.55.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '55.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 55, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1331.3', 'subgroup_hash': 3, 'subgroup_order': 1331, 'subgroup_tex': '\\He_{11}', 'supersolvable': True, 'sylow': 0}
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id: 68310431
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '73205.j', 'ambient_counter': 10, 'ambient_order': 73205, 'ambient_tex': 'C_{11}^3:(C_{11}:C_5)', 'central': False, 'central_factor': False, 'centralizer_order': 11, 'characteristic': False, 'core_order': 121, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '73205.j.55.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '55.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 55, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1331.3', 'subgroup_hash': 3, 'subgroup_order': 1331, 'subgroup_tex': '\\He_{11}', 'supersolvable': True, 'sylow': 0}
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id: 68310432
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '73205.j', 'ambient_counter': 10, 'ambient_order': 73205, 'ambient_tex': 'C_{11}^3:(C_{11}:C_5)', 'central': False, 'central_factor': False, 'centralizer_order': 11, 'characteristic': False, 'core_order': 11, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '73205.j.121.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '121.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 121, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '605.3', 'subgroup_hash': 3, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}:C_{55}', 'supersolvable': True, 'sylow': 0}
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id: 68310400
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '73205.j', 'ambient_counter': 10, 'ambient_order': 73205, 'ambient_tex': 'C_{11}^3:(C_{11}:C_5)', 'central': False, 'central_factor': False, 'centralizer_order': 11, 'characteristic': False, 'core_order': 121, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '73205.j.121.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '121.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 121, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '605.3', 'subgroup_hash': 3, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}:C_{55}', 'supersolvable': True, 'sylow': 0}
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id: 68310401
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '73205.j', 'ambient_counter': 10, 'ambient_order': 73205, 'ambient_tex': 'C_{11}^3:(C_{11}:C_5)', 'central': False, 'central_factor': False, 'centralizer_order': 11, 'characteristic': False, 'core_order': 11, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '73205.j.121.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '121.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 121, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '605.3', 'subgroup_hash': 3, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}:C_{55}', 'supersolvable': True, 'sylow': 0}
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id: 68310402
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '73205.j', 'ambient_counter': 10, 'ambient_order': 73205, 'ambient_tex': 'C_{11}^3:(C_{11}:C_5)', 'central': False, 'central_factor': False, 'centralizer_order': 11, 'characteristic': False, 'core_order': 1, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '73205.j.121.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '121.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 121, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '605.5', 'subgroup_hash': 5, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}^2:C_5', 'supersolvable': True, 'sylow': 0}
-
id: 68310403
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '73205.j', 'ambient_counter': 10, 'ambient_order': 73205, 'ambient_tex': 'C_{11}^3:(C_{11}:C_5)', 'central': False, 'central_factor': False, 'centralizer_order': 1331, 'characteristic': True, 'core_order': 121, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '73205.j.605.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '605.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '605.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 605, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}^2:C_5', 'simple': False, 'solvable': True, 'special_labels': ['Phi', 'D2', 'C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '121.2', 'subgroup_hash': 2, 'subgroup_order': 121, 'subgroup_tex': 'C_{11}^2', 'supersolvable': True, 'sylow': 0}
-
id: 68310404
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '73205.j', 'ambient_counter': 10, 'ambient_order': 73205, 'ambient_tex': 'C_{11}^3:(C_{11}:C_5)', 'central': False, 'central_factor': False, 'centralizer_order': 1331, 'characteristic': False, 'core_order': 11, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '73205.j.605.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '605.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 605, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '121.2', 'subgroup_hash': 2, 'subgroup_order': 121, 'subgroup_tex': 'C_{11}^2', 'supersolvable': True, 'sylow': 0}
-
id: 68310405
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '73205.j', 'ambient_counter': 10, 'ambient_order': 73205, 'ambient_tex': 'C_{11}^3:(C_{11}:C_5)', 'central': False, 'central_factor': False, 'centralizer_order': 121, 'characteristic': False, 'core_order': 11, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '73205.j.605.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '605.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 605, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '121.2', 'subgroup_hash': 2, 'subgroup_order': 121, 'subgroup_tex': 'C_{11}^2', 'supersolvable': True, 'sylow': 0}
-
id: 68310406
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '73205.j', 'ambient_counter': 10, 'ambient_order': 73205, 'ambient_tex': 'C_{11}^3:(C_{11}:C_5)', 'central': False, 'central_factor': False, 'centralizer_order': 121, 'characteristic': False, 'core_order': 11, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '73205.j.605.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '605.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 605, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '121.2', 'subgroup_hash': 2, 'subgroup_order': 121, 'subgroup_tex': 'C_{11}^2', 'supersolvable': True, 'sylow': 0}
-
id: 68310407
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '73205.j', 'ambient_counter': 10, 'ambient_order': 73205, 'ambient_tex': 'C_{11}^3:(C_{11}:C_5)', 'central': False, 'central_factor': False, 'centralizer_order': 121, 'characteristic': False, 'core_order': 11, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '73205.j.605.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '605.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 605, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '121.2', 'subgroup_hash': 2, 'subgroup_order': 121, 'subgroup_tex': 'C_{11}^2', 'supersolvable': True, 'sylow': 0}
-
id: 68310408
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '73205.j', 'ambient_counter': 10, 'ambient_order': 73205, 'ambient_tex': 'C_{11}^3:(C_{11}:C_5)', 'central': False, 'central_factor': False, 'centralizer_order': 1331, 'characteristic': False, 'core_order': 1, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '73205.j.605.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '605.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 605, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '121.2', 'subgroup_hash': 2, 'subgroup_order': 121, 'subgroup_tex': 'C_{11}^2', 'supersolvable': True, 'sylow': 0}
-
id: 68310409
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '73205.j', 'ambient_counter': 10, 'ambient_order': 73205, 'ambient_tex': 'C_{11}^3:(C_{11}:C_5)', 'central': False, 'central_factor': False, 'centralizer_order': 1331, 'characteristic': False, 'core_order': 1, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '73205.j.605.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '605.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 605, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '121.2', 'subgroup_hash': 2, 'subgroup_order': 121, 'subgroup_tex': 'C_{11}^2', 'supersolvable': True, 'sylow': 0}
-
id: 68310411
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '73205.j', 'ambient_counter': 10, 'ambient_order': 73205, 'ambient_tex': 'C_{11}^3:(C_{11}:C_5)', 'central': False, 'central_factor': False, 'centralizer_order': 1331, 'characteristic': False, 'core_order': 1, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '73205.j.605.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '605.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 605, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '121.2', 'subgroup_hash': 2, 'subgroup_order': 121, 'subgroup_tex': 'C_{11}^2', 'supersolvable': True, 'sylow': 0}
-
id: 68310412
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '73205.j', 'ambient_counter': 10, 'ambient_order': 73205, 'ambient_tex': 'C_{11}^3:(C_{11}:C_5)', 'central': False, 'central_factor': False, 'centralizer_order': 55, 'characteristic': False, 'core_order': 11, 'counter': 21, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '73205.j.1331.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1331.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1331, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55.2', 'subgroup_hash': 2, 'subgroup_order': 55, 'subgroup_tex': 'C_{55}', 'supersolvable': True, 'sylow': 0}
-
id: 68310413
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '73205.j', 'ambient_counter': 10, 'ambient_order': 73205, 'ambient_tex': 'C_{11}^3:(C_{11}:C_5)', 'central': False, 'central_factor': False, 'centralizer_order': 11, 'characteristic': False, 'core_order': 1, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '73205.j.1331.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1331.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1331, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55.1', 'subgroup_hash': 1, 'subgroup_order': 55, 'subgroup_tex': 'C_{11}:C_5', 'supersolvable': True, 'sylow': 0}
-
id: 68310414
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '73205.j', 'ambient_counter': 10, 'ambient_order': 73205, 'ambient_tex': 'C_{11}^3:(C_{11}:C_5)', 'central': False, 'central_factor': False, 'centralizer_order': 11, 'characteristic': False, 'core_order': 1, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '73205.j.1331.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1331.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1331, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55.1', 'subgroup_hash': 1, 'subgroup_order': 55, 'subgroup_tex': 'C_{11}:C_5', 'supersolvable': True, 'sylow': 0}
-
id: 68310415
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '73205.j', 'ambient_counter': 10, 'ambient_order': 73205, 'ambient_tex': 'C_{11}^3:(C_{11}:C_5)', 'central': False, 'central_factor': False, 'centralizer_order': 11, 'characteristic': False, 'core_order': 1, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '73205.j.1331.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1331.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1331, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55.1', 'subgroup_hash': 1, 'subgroup_order': 55, 'subgroup_tex': 'C_{11}:C_5', 'supersolvable': True, 'sylow': 0}
-
id: 68310416
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '73205.j', 'ambient_counter': 10, 'ambient_order': 73205, 'ambient_tex': 'C_{11}^3:(C_{11}:C_5)', 'central': True, 'central_factor': False, 'centralizer_order': 73205, 'characteristic': True, 'core_order': 11, 'counter': 25, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '73205.j.6655.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '6655.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 24, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 6655, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\He_{11}:C_5', 'simple': True, 'solvable': True, 'special_labels': ['Z', 'S', 'U0', 'C4'], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 68310417
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '73205.j', 'ambient_counter': 10, 'ambient_order': 73205, 'ambient_tex': 'C_{11}^3:(C_{11}:C_5)', 'central': False, 'central_factor': False, 'centralizer_order': 1331, 'characteristic': False, 'core_order': 1, 'counter': 26, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '73205.j.6655.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6655.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6655, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 68310418
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '73205.j', 'ambient_counter': 10, 'ambient_order': 73205, 'ambient_tex': 'C_{11}^3:(C_{11}:C_5)', 'central': False, 'central_factor': False, 'centralizer_order': 1331, 'characteristic': False, 'core_order': 1, 'counter': 27, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '73205.j.6655.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6655.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6655, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 68310419
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '73205.j', 'ambient_counter': 10, 'ambient_order': 73205, 'ambient_tex': 'C_{11}^3:(C_{11}:C_5)', 'central': False, 'central_factor': False, 'centralizer_order': 1331, 'characteristic': False, 'core_order': 1, 'counter': 28, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '73205.j.6655.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6655.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6655, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 68310420
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '73205.j', 'ambient_counter': 10, 'ambient_order': 73205, 'ambient_tex': 'C_{11}^3:(C_{11}:C_5)', 'central': False, 'central_factor': False, 'centralizer_order': 1331, 'characteristic': False, 'core_order': 1, 'counter': 29, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '73205.j.6655.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6655.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6655, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 68310422
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '73205.j', 'ambient_counter': 10, 'ambient_order': 73205, 'ambient_tex': 'C_{11}^3:(C_{11}:C_5)', 'central': False, 'central_factor': False, 'centralizer_order': 121, 'characteristic': False, 'core_order': 1, 'counter': 30, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '73205.j.6655.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6655.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6655, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 68310423
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '73205.j', 'ambient_counter': 10, 'ambient_order': 73205, 'ambient_tex': 'C_{11}^3:(C_{11}:C_5)', 'central': False, 'central_factor': False, 'centralizer_order': 121, 'characteristic': False, 'core_order': 1, 'counter': 31, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '73205.j.6655.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6655.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6655, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
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id: 68310424
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '73205.j', 'ambient_counter': 10, 'ambient_order': 73205, 'ambient_tex': 'C_{11}^3:(C_{11}:C_5)', 'central': False, 'central_factor': False, 'centralizer_order': 121, 'characteristic': False, 'core_order': 1, 'counter': 32, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '73205.j.6655.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6655.g1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6655, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
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id: 68310425
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '73205.j', 'ambient_counter': 10, 'ambient_order': 73205, 'ambient_tex': 'C_{11}^3:(C_{11}:C_5)', 'central': False, 'central_factor': False, 'centralizer_order': 55, 'characteristic': False, 'core_order': 1, 'counter': 33, 'cyclic': True, 'direct': None, 'hall': 5, 'label': '73205.j.14641.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14641.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14641, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 5}
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id: 68310426
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '73205.j', 'ambient_counter': 10, 'ambient_order': 73205, 'ambient_tex': 'C_{11}^3:(C_{11}:C_5)', 'central': True, 'central_factor': False, 'centralizer_order': 73205, 'characteristic': True, 'core_order': 1, 'counter': 34, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '73205.j.73205.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '73205.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '73205.j', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 741975403978328629, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 73205, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}^3:(C_{11}:C_5)', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U1', 'D3', 'C5'], '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: 68310399
{'ambient': '73205.j', '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': '6655.a1.a1', 'complements': ['73205.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['5.a1.a1', '11.a1.a1', '11.b1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [6480880537359284, 43716293969460027, 28053682396536287, 6481745904169955, 21727444705284686], 'label': '73205.j.1.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['5.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 68310400
{'ambient': '73205.j', 'aut_centralizer_order': None, 'aut_label': '121.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6655.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['11.a1.a1', '11.b1.a1'], 'contains': ['605.a1.a1', '1331.a1.a1', '1331.c1.a1'], 'core': '605.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [43716293969460027, 6481745904169955, 21727444705284686], 'label': '73205.j.121.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.b1.a1', 'old_label': '121.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '121.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 68310401
{'ambient': '73205.j', 'aut_centralizer_order': None, 'aut_label': '121.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6655.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['11.b1.a1'], 'contains': ['605.c1.a1', '1331.a1.a1', '1331.d1.a1'], 'core': '6655.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [43716293969460027, 21727444705284686, 10277518227777548], 'label': '73205.j.121.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.c1.a1', 'old_label': '121.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '121.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 68310402
{'ambient': '73205.j', 'aut_centralizer_order': None, 'aut_label': '121.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6655.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['11.a1.a1'], 'contains': ['605.e1.a1', '1331.b1.a1', '1331.c1.a1'], 'core': '73205.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [6480880537359284, 21727444705284686, 45623593053850958], 'label': '73205.j.121.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '121.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '121.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 68310403
{'ambient': '73205.j', 'aut_centralizer_order': None, 'aut_label': '605.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '55.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['55.a1.a1', '55.b1.a1', '55.c1.a1', '55.c1.b1', '121.b1.a1'], 'contains': ['6655.a1.a1', '6655.c1.a1'], 'core': '605.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [43716293969460027, 6481745904169955], 'label': '73205.j.605.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '605.a1.a1', 'normal_contained_in': ['55.a1.a1', '55.b1.a1'], 'normal_contains': ['6655.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '605.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 68310404
{'ambient': '73205.j', 'aut_centralizer_order': None, 'aut_label': '605.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '55.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['55.a1.a1', '121.a1.a1'], 'contains': ['6655.a1.a1', '6655.b1.a1', '6655.d1.a1', '6655.e1.a1'], 'core': '6655.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [6480880537359284, 43716293969460027], 'label': '73205.j.605.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '55.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '605.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 68310405
{'ambient': '73205.j', 'aut_centralizer_order': None, 'aut_label': '605.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '605.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['55.b1.a1', '121.c1.a1'], 'contains': ['6655.a1.a1', '6655.f1.a1'], 'core': '6655.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [43716293969460027, 28053682396536287], 'label': '73205.j.605.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '55.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.b1.a1', 'old_label': '605.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 68310406
{'ambient': '73205.j', 'aut_centralizer_order': None, 'aut_label': '605.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '605.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['55.c1.a1'], 'contains': ['6655.a1.a1', '6655.g1.a1'], 'core': '6655.a1.a1', 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [43716293969460027, 32603620268493056], 'label': '73205.j.605.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '55.c1.a1', 'old_label': '605.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 68310407
{'ambient': '73205.j', 'aut_centralizer_order': None, 'aut_label': '605.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '605.d1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['55.c1.b1'], 'contains': ['6655.a1.a1', '6655.g1.b1'], 'core': '6655.a1.a1', 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [43716293969460027, 19733708690450773], 'label': '73205.j.605.d1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '55.c1.b1', 'old_label': '605.d1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605.d1.b1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 68310408
{'ambient': '73205.j', 'aut_centralizer_order': None, 'aut_label': '605.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '55.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['55.a1.a1', '121.d1.a1'], 'contains': ['6655.b1.a1', '6655.c1.a1', '6655.d1.a1'], 'core': '73205.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [41808129498610203, 41808994865406112], 'label': '73205.j.605.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '55.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '605.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 68310409
{'ambient': '73205.j', 'aut_centralizer_order': None, 'aut_label': '605.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '55.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['55.a1.a1'], 'contains': ['6655.b1.a1', '6655.c1.a1', '6655.d1.a1', '6655.e1.a1'], 'core': '73205.a1.a1', 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [6480880537359284, 41808994865406112], 'label': '73205.j.605.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '55.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '55.a1.a1', 'old_label': '605.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 68310410
{'ambient': '73205.j', 'aut_centralizer_order': None, 'aut_label': '5.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6655.a1.a1', 'complements': ['14641.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['55.a1.a1', '55.b1.a1', '55.c1.a1', '55.c1.b1'], 'core': '5.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [6480880537359284, 43716293969460027, 28053682396536287, 6481745904169955], 'label': '73205.j.5.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['55.a1.a1', '55.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '5.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 68310411
{'ambient': '73205.j', 'aut_centralizer_order': None, 'aut_label': '605.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '55.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['55.a1.a1'], 'contains': ['6655.c1.a1', '6655.d1.a1', '6655.e1.a1'], 'core': '73205.a1.a1', 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [13274792643270355, 41808994865406112], 'label': '73205.j.605.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '55.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '55.a1.a1', 'old_label': '605.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 68310412
{'ambient': '73205.j', 'aut_centralizer_order': None, 'aut_label': '1331.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1331.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['121.a1.a1', '121.b1.a1', '121.c1.a1'], 'contains': ['6655.a1.a1', '14641.a1.a1'], 'core': '6655.a1.a1', 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [43716293969460027, 21727444705284686], 'label': '73205.j.1331.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1331.a1.a1', 'old_label': '1331.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1331.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 68310413
{'ambient': '73205.j', 'aut_centralizer_order': None, 'aut_label': '1331.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6655.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['121.a1.a1', '121.d1.a1'], 'contains': ['6655.b1.a1', '14641.a1.a1'], 'core': '73205.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [6480880537359284, 21727444705284686], 'label': '73205.j.1331.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '1331.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1331.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 68310414
{'ambient': '73205.j', 'aut_centralizer_order': None, 'aut_label': '1331.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6655.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['121.b1.a1', '121.d1.a1'], 'contains': ['6655.c1.a1', '14641.a1.a1'], 'core': '73205.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21727444705284686, 45623593053850958], 'label': '73205.j.1331.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.b1.a1', 'old_label': '1331.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1331.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 68310415
{'ambient': '73205.j', 'aut_centralizer_order': None, 'aut_label': '1331.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6655.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['121.c1.a1'], 'contains': ['6655.f1.a1', '14641.a1.a1'], 'core': '73205.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [44693435810373870, 21727444705284686], 'label': '73205.j.1331.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.c1.a1', 'old_label': '1331.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1331.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 68310416
{'ambient': '73205.j', 'aut_centralizer_order': None, 'aut_label': '6655.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['605.a1.a1', '605.b1.a1', '605.c1.a1', '605.d1.a1', '605.d1.b1', '1331.a1.a1'], 'contains': ['73205.a1.a1'], 'core': '6655.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [43716293969460027], 'label': '73205.j.6655.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6655.a1.a1', 'normal_contained_in': ['605.a1.a1'], 'normal_contains': ['73205.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6655.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6655.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 68310417
{'ambient': '73205.j', 'aut_centralizer_order': None, 'aut_label': '6655.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '55.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['605.b1.a1', '605.e1.a1', '605.f1.a1', '1331.b1.a1'], 'contains': ['73205.a1.a1'], 'core': '73205.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [6480880537359284], 'label': '73205.j.6655.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '55.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '6655.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6655.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 68310418
{'ambient': '73205.j', 'aut_centralizer_order': None, 'aut_label': '6655.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '55.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['605.a1.a1', '605.e1.a1', '605.f1.a1', '605.g1.a1', '1331.c1.a1'], 'contains': ['73205.a1.a1'], 'core': '73205.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [41808994865406112], 'label': '73205.j.6655.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '605.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '6655.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6655.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 68310419
{'ambient': '73205.j', 'aut_centralizer_order': None, 'aut_label': '6655.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '55.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['605.b1.a1', '605.e1.a1', '605.f1.a1', '605.g1.a1'], 'contains': ['73205.a1.a1'], 'core': '73205.a1.a1', 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [41808129498610203], 'label': '73205.j.6655.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '55.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '55.a1.a1', 'old_label': '6655.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6655.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 68310420
{'ambient': '73205.j', 'aut_centralizer_order': None, 'aut_label': '6655.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '55.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['605.b1.a1', '605.f1.a1', '605.g1.a1'], 'contains': ['73205.a1.a1'], 'core': '73205.a1.a1', 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [35397133971451180], 'label': '73205.j.6655.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '55.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '55.a1.a1', 'old_label': '6655.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6655.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 68310421
{'ambient': '73205.j', 'aut_centralizer_order': None, 'aut_label': '11.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6655.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['55.a1.a1', '121.a1.a1', '121.b1.a1', '121.d1.a1'], 'core': '55.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [6480880537359284, 43716293969460027, 6481745904169955, 21727444705284686], 'label': '73205.j.11.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '11.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 68310422
{'ambient': '73205.j', 'aut_centralizer_order': None, 'aut_label': '6655.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '605.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['605.c1.a1', '1331.d1.a1'], 'contains': ['73205.a1.a1'], 'core': '73205.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [28053682396536287], 'label': '73205.j.6655.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '55.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.c1.a1', 'old_label': '6655.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6655.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 68310423
{'ambient': '73205.j', 'aut_centralizer_order': None, 'aut_label': '6655.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '605.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['605.d1.a1'], 'contains': ['73205.a1.a1'], 'core': '73205.a1.a1', 'coset_action_label': None, 'count': 605, 'diagramx': None, 'generators': [32603620268493056], 'label': '73205.j.6655.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '605.d1.a1', 'old_label': '6655.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6655.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 68310424
{'ambient': '73205.j', 'aut_centralizer_order': None, 'aut_label': '6655.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '605.d1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['605.d1.b1'], 'contains': ['73205.a1.a1'], 'core': '73205.a1.a1', 'coset_action_label': None, 'count': 605, 'diagramx': None, 'generators': [19733708690450773], 'label': '73205.j.6655.g1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '605.d1.b1', 'old_label': '6655.g1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6655.g1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 68310425
{'ambient': '73205.j', 'aut_centralizer_order': None, 'aut_label': '14641.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1331.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1331.a1.a1', '1331.b1.a1', '1331.c1.a1', '1331.d1.a1'], 'contains': ['73205.a1.a1'], 'core': '73205.a1.a1', 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [21727444705284686], 'label': '73205.j.14641.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1331.a1.a1', 'old_label': '14641.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14641.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 68310426
{'ambient': '73205.j', 'aut_centralizer_order': None, 'aut_label': '73205.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['1.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['6655.a1.a1', '6655.b1.a1', '6655.c1.a1', '6655.d1.a1', '6655.e1.a1', '6655.f1.a1', '6655.g1.a1', '6655.g1.b1', '14641.a1.a1'], 'contains': [], 'core': '73205.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [], 'label': '73205.j.73205.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '73205.a1.a1', 'normal_contained_in': ['6655.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '73205.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '73205.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 68310427
{'ambient': '73205.j', 'aut_centralizer_order': None, 'aut_label': '11.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6655.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['55.b1.a1', '121.b1.a1', '121.c1.a1'], 'core': '55.b1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [43716293969460027, 28053682396536287, 6481745904169955, 21727444705284686], 'label': '73205.j.11.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.b1.a1', 'old_label': '11.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 68310428
{'ambient': '73205.j', 'aut_centralizer_order': None, 'aut_label': '55.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '55.a1.a1', 'complements': ['1331.d1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['5.a1.a1', '11.a1.a1'], 'contains': ['605.a1.a1', '605.b1.a1', '605.e1.a1', '605.f1.a1', '605.g1.a1'], 'core': '55.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [6480880537359284, 43716293969460027, 6481745904169955], 'label': '73205.j.55.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '55.a1.a1', 'normal_contained_in': ['5.a1.a1'], 'normal_contains': ['605.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '55.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 68310429
{'ambient': '73205.j', 'aut_centralizer_order': None, 'aut_label': '55.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6655.a1.a1', 'complements': ['1331.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['5.a1.a1', '11.b1.a1'], 'contains': ['605.a1.a1', '605.c1.a1'], 'core': '55.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [43716293969460027, 28053682396536287, 6481745904169955], 'label': '73205.j.55.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '55.b1.a1', 'normal_contained_in': ['5.a1.a1'], 'normal_contains': ['605.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '55.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 68310430
{'ambient': '73205.j', 'aut_centralizer_order': None, 'aut_label': '55.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6655.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['5.a1.a1'], 'contains': ['605.a1.a1', '605.d1.a1'], 'core': '605.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [43716293969460027, 6481745904169955, 32603620268493056], 'label': '73205.j.55.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '55.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 68310431
{'ambient': '73205.j', 'aut_centralizer_order': None, 'aut_label': '55.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6655.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['5.a1.a1'], 'contains': ['605.a1.a1', '605.d1.b1'], 'core': '605.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [43716293969460027, 19733708690450773, 6481745904169955], 'label': '73205.j.55.c1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '55.c1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55.c1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 68310432
{'ambient': '73205.j', 'aut_centralizer_order': None, 'aut_label': '121.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6655.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['11.a1.a1'], 'contains': ['605.b1.a1', '1331.a1.a1', '1331.b1.a1'], 'core': '6655.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [6480880537359284, 43716293969460027, 21727444705284686], 'label': '73205.j.121.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '121.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '121.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}