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mf_newforms • Show schema
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{'Nk2': 12600, 'analytic_conductor': 56.13433693454322, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [350, 2, [127, 101], [1, 2]], 'cm_discs': [], 'conrey_index': 99, 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [529, 0, 1]], [11, [-555, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525334931210590, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '350.6.c.h', 'level': 350, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7], 'level_radical': 70, 'minimal_twist': '70.6.a.a', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q-4 i q^{2}+23 i q^{3}-16 q^{4}+92 q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '5.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '350.6.c', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1018013294508804776, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.013', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.981', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.800', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, -4], [0, 23], [-16, 0], [0, 0], [92, 0], [0, 49], [0, 64], [-286, 0], [0, 0], [555, 0], [0, -368], [0, 241], [196, 0], [0, 0], [256, 0], [0, -1491], [0, 1144], [2038, 0], [0, 0], [-1127, 0], [0, -2220], [0, 1230], [-1472, 0], [0, 0], [964, 0], [0, -989], [0, -784], [5001, 0], [0, 0], [5696, 0], [0, -1024], [0, 12765], [-5964, 0], [0, 0], [4576, 0], [0, -5602], [0, -8152], [-5543, 0], [0, 0], [-2424, 0], [0, 4508], [0, -602], [-8880, 0], [0, 0], [4920, 0], [0, -23163], [0, 5888], [-2401, 0], [0, 0], [34293, 0], [0, -3856], [0, 25296], [-3956, 0], [0, 0], [-3136, 0], [0, 46874], [0, -20004], [-5724, 0], [0, 0], [-36112, 0], [0, -22784], [0, -14014], [-4096, 0], [0, 0], [51060, 0], [0, 66104], [0, 23856], [-28290, 0], [0, 0], [16080, 0], [0, -18304], [0, 80482], [-22408, 0], [0, 0], [-32608, 0], [0, 27195], [0, 22172], [64147, 0], [0, 0], [-46751, 0], [0, 9696], [0, 106284], [18032, 0], [0, 0], [-2408, 0], [0, 115023], [0, 35520], [71676, 0], [0, 0], [-11809, 0], [0, -19680], [0, 131008], [-92652, 0], [0, 0], [23552, 0], [0, 151025], [0, 9604], [-158730, 0], [0, 0]], 'ap': [[0, -4], [0, 23], [0, 0], [0, 49], [555, 0], [0, 241], [0, -1491], [2038, 0], [0, 1230], [5001, 0], [5696, 0], [0, -5602], [-2424, 0], [0, -602], [0, -23163], [0, 25296], [-5724, 0], [-36112, 0], [0, 66104], [16080, 0], [0, 80482], [64147, 0], [0, 106284], [71676, 0], [0, 151025], [-57150, 0], [0, -115889], [0, -137862], [-88397, 0], [0, -205554], [0, 250916], [-52122, 0], [0, -135468], [349486, 0], [-176082, 0], [383333, 0], [0, 345914], [0, -91586], [0, 38097], [0, 541443], [-166188, 0], [-197320, 0], [-337221, 0], [0, -260516], [0, -409212], [-300980, 0], [-1226179, 0], [0, -621257], [0, 1297677], [124264, 0], [0, -1087416], [545631, 0], [811310, 0], [-897738, 0], [0, -594678], [0, -1028370], [1243902, 0], [737624, 0], [0, -2200630], [173979, 0], [0, 551053], [0, 1675119], [0, 2330603], [706266, 0], [0, 183565], [0, 2706654], [-2143372, 0], [0, 655346], [0, -4222746], [-3017102, 0], [0, -2252577], [1839504, 0], [0, -1688323], [0, -1812116], [4767076, 0], [0, 69996], [-3988953, 0], [0, -3059035], [4307937, 0], [239206, 0], [-4634616, 0], [-2101075, 0], [1654839, 0], [0, 1840306], [-5836838, 0], [0, -1197042], [3425697, 0], [0, 5297420], [8877312, 0], [0, 2174752], [0, -378969], [-1884894, 0], [0, 3676886], [9540153, 0], [-4782431, 0], [0, 10839465], [7641774, 0], [6440106, 0], [0, 4779292], [-2056777, 0], [0, -12018928], [0, 8699424], [0, 7359420], [7500294, 0], [-2228788, 0], [0, -5109457], [0, 11064552], [0, -9100431], [12861489, 0], [1581626, 0], [0, -688297], [0, 6021502], [0, 3361374], [-13176926, 0], [1262639, 0], [-15885918, 0], [0, -1808801], [0, 95712], [0, -3067362], [1329609, 0], [-7371880, 0], [0, -8484764], [0, -4358913], [0, 15873168], [-554956, 0], [-7747197, 0], [18905521, 0], [18392778, 0], [0, -13425904], [0, -10847315], [-26432339, 0], [0, -20312016], [-3953875, 0], [0, -26216512], [11432862, 0], [-23707634, 0], [0, 12417969], [0, 30655277], [0, -15186963], [-539721, 0], [13977182, 0], [-17813679, 0], [0, -19100960], [0, 3192246], [-8568416, 0], [-35675082, 0], [0, -30635546], [0, -4461882], [-26397404, 0], [0, 21753036], [0, -15838318], [19742736, 0], [0, 17289940], [0, -44469264], [0, 2568866], [11269248, 0], [-31837841, 0], [-18855816, 0], [0, 11294633], [-29194104, 0], [0, 10589196], [0, 39031716], [0, -34339522], [-18146436, 0], [0, -10522314], [0, 7913529], [40155584, 0], [0, -49347823]], 'char_orbit_index': 3, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 31525334931210590, 'hecke_ring_character_values': [[127, [-1, 0]], [101, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '350.6.c.h', 'level': 350, 'maxp': 997, 'weight': 6}
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mf_newspaces • Show schema
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{'Nk2': 12600, 'analytic_conductor': 56.13433693454322, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [350, 2, [127, 101], [1, 2]], 'conrey_index': 99, 'cusp_dim': 288, 'dim': 44, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 11], 'hecke_orbit_code': 137539617118, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 6, 6], 'label': '350.6.c', 'level': 350, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7], 'level_radical': 70, 'mf_dim': 312, 'mf_new_dim': 44, 'num_forms': 14, 'prim_orbit_index': 2, 'relative_dim': 44, 'sturm_bound': 360, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [44, 0, 0, -704, 0, 0, 0, 0, -3432, 0, -1244, 0, 0, 784, 0, 11264, 0, 0, -7024, 0, -3724, 0, 0, 0, 0, -9552, 0, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 267371
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '350.6.c.h', 'source_level': 350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '70.6.a.a', 'target_level': 70, 'twist_class_label': '70.6.a.a', 'twist_class_level': 70, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 6}
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id: 267372
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '350.6.c.h', 'source_level': 350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '350.6.a.n', 'target_level': 350, 'twist_class_label': '70.6.a.a', 'twist_class_level': 70, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 6}
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id: 267373
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '350.6.c.h', 'source_level': 350, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '350.6.c.h', 'target_level': 350, 'twist_class_label': '70.6.a.a', 'twist_class_level': 70, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 6}
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id: 267374
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '350.6.c.h', 'source_level': 350, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '350.6.c.h', 'target_level': 350, 'twist_class_label': '70.6.a.a', 'twist_class_level': 70, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 6}
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id: 267375
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '350.6.c.h', 'source_level': 350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '490.6.a.i', 'target_level': 490, 'twist_class_label': '70.6.a.a', 'twist_class_level': 70, 'twisting_char_label': '35.f', 'twisting_char_orbit': 6, 'weight': 6}
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id: 267376
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '350.6.c.h', 'source_level': 350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '560.6.a.i', 'target_level': 560, 'twist_class_label': '70.6.a.a', 'twist_class_level': 70, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 6}
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id: 267377
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '350.6.c.h', 'source_level': 350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '630.6.a.j', 'target_level': 630, 'twist_class_label': '70.6.a.a', 'twist_class_level': 70, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 6}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 755350
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 31525334931210590, 'p': 2}
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id: 755351
{'charpoly_factorization': [[[529, 0, 1], 1]], 'hecke_orbit_code': 31525334931210590, 'p': 3}
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id: 755352
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31525334931210590, 'p': 5}
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id: 755353
{'charpoly_factorization': [[[2401, 0, 1], 1]], 'hecke_orbit_code': 31525334931210590, 'p': 7}
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id: 755354
{'charpoly_factorization': [[[-555, 1], 2]], 'hecke_orbit_code': 31525334931210590, 'p': 11}
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id: 755355
{'charpoly_factorization': [[[58081, 0, 1], 1]], 'hecke_orbit_code': 31525334931210590, 'p': 13}
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id: 755356
{'charpoly_factorization': [[[2223081, 0, 1], 1]], 'hecke_orbit_code': 31525334931210590, 'p': 17}
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id: 755357
{'charpoly_factorization': [[[-2038, 1], 2]], 'hecke_orbit_code': 31525334931210590, 'p': 19}
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id: 755358
{'charpoly_factorization': [[[1512900, 0, 1], 1]], 'hecke_orbit_code': 31525334931210590, 'p': 23}
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id: 755359
{'charpoly_factorization': [[[-5001, 1], 2]], 'hecke_orbit_code': 31525334931210590, 'p': 29}
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id: 755360
{'charpoly_factorization': [[[-5696, 1], 2]], 'hecke_orbit_code': 31525334931210590, 'p': 31}
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id: 755361
{'charpoly_factorization': [[[31382404, 0, 1], 1]], 'hecke_orbit_code': 31525334931210590, 'p': 37}
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id: 755362
{'charpoly_factorization': [[[2424, 1], 2]], 'hecke_orbit_code': 31525334931210590, 'p': 41}
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id: 755363
{'charpoly_factorization': [[[362404, 0, 1], 1]], 'hecke_orbit_code': 31525334931210590, 'p': 43}
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id: 755364
{'charpoly_factorization': [[[536524569, 0, 1], 1]], 'hecke_orbit_code': 31525334931210590, 'p': 47}
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id: 755365
{'charpoly_factorization': [[[639887616, 0, 1], 1]], 'hecke_orbit_code': 31525334931210590, 'p': 53}
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id: 755366
{'charpoly_factorization': [[[5724, 1], 2]], 'hecke_orbit_code': 31525334931210590, 'p': 59}
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id: 755367
{'charpoly_factorization': [[[36112, 1], 2]], 'hecke_orbit_code': 31525334931210590, 'p': 61}
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id: 755368
{'charpoly_factorization': [[[4369738816, 0, 1], 1]], 'hecke_orbit_code': 31525334931210590, 'p': 67}
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id: 755369
{'charpoly_factorization': [[[-16080, 1], 2]], 'hecke_orbit_code': 31525334931210590, 'p': 71}
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id: 755370
{'charpoly_factorization': [[[6477352324, 0, 1], 1]], 'hecke_orbit_code': 31525334931210590, 'p': 73}
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id: 755371
{'charpoly_factorization': [[[-64147, 1], 2]], 'hecke_orbit_code': 31525334931210590, 'p': 79}
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id: 755372
{'charpoly_factorization': [[[11296288656, 0, 1], 1]], 'hecke_orbit_code': 31525334931210590, 'p': 83}
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id: 755373
{'charpoly_factorization': [[[-71676, 1], 2]], 'hecke_orbit_code': 31525334931210590, 'p': 89}
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id: 755374
{'charpoly_factorization': [[[22808550625, 0, 1], 1]], 'hecke_orbit_code': 31525334931210590, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 3, 'hecke_orbit': 8, 'label': '350.6.c.h', 'level': 350, 'portrait': 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', 'weight': 6}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 49824163
{'hecke_orbit_code': 31525334931210590, 'n': 1, 'trace_an': 2}
-
id: 49824164
{'hecke_orbit_code': 31525334931210590, 'n': 2, 'trace_an': 0}
-
id: 49824165
{'hecke_orbit_code': 31525334931210590, 'n': 3, 'trace_an': 0}
-
id: 49824166
{'hecke_orbit_code': 31525334931210590, 'n': 4, 'trace_an': -32}
-
id: 49824167
{'hecke_orbit_code': 31525334931210590, 'n': 5, 'trace_an': 0}
-
id: 49824168
{'hecke_orbit_code': 31525334931210590, 'n': 6, 'trace_an': 184}
-
id: 49824169
{'hecke_orbit_code': 31525334931210590, 'n': 7, 'trace_an': 0}
-
id: 49824170
{'hecke_orbit_code': 31525334931210590, 'n': 8, 'trace_an': 0}
-
id: 49824171
{'hecke_orbit_code': 31525334931210590, 'n': 9, 'trace_an': -572}
-
id: 49824172
{'hecke_orbit_code': 31525334931210590, 'n': 10, 'trace_an': 0}
-
id: 49824173
{'hecke_orbit_code': 31525334931210590, 'n': 11, 'trace_an': 1110}
-
id: 49824174
{'hecke_orbit_code': 31525334931210590, 'n': 12, 'trace_an': 0}
-
id: 49824175
{'hecke_orbit_code': 31525334931210590, 'n': 13, 'trace_an': 0}
-
id: 49824176
{'hecke_orbit_code': 31525334931210590, 'n': 14, 'trace_an': 392}
-
id: 49824177
{'hecke_orbit_code': 31525334931210590, 'n': 15, 'trace_an': 0}
-
id: 49824178
{'hecke_orbit_code': 31525334931210590, 'n': 16, 'trace_an': 512}
-
id: 49824179
{'hecke_orbit_code': 31525334931210590, 'n': 17, 'trace_an': 0}
-
id: 49824180
{'hecke_orbit_code': 31525334931210590, 'n': 18, 'trace_an': 0}
-
id: 49824181
{'hecke_orbit_code': 31525334931210590, 'n': 19, 'trace_an': 4076}
-
id: 49824182
{'hecke_orbit_code': 31525334931210590, 'n': 20, 'trace_an': 0}
-
id: 49824183
{'hecke_orbit_code': 31525334931210590, 'n': 21, 'trace_an': -2254}
-
id: 49824184
{'hecke_orbit_code': 31525334931210590, 'n': 22, 'trace_an': 0}
-
id: 49824185
{'hecke_orbit_code': 31525334931210590, 'n': 23, 'trace_an': 0}
-
id: 49824186
{'hecke_orbit_code': 31525334931210590, 'n': 24, 'trace_an': -2944}
-
id: 49824187
{'hecke_orbit_code': 31525334931210590, 'n': 25, 'trace_an': 0}
-
id: 49824188
{'hecke_orbit_code': 31525334931210590, 'n': 26, 'trace_an': 1928}
-
id: 49824189
{'hecke_orbit_code': 31525334931210590, 'n': 27, 'trace_an': 0}
-
id: 49824190
{'hecke_orbit_code': 31525334931210590, 'n': 28, 'trace_an': 0}
-
id: 49824191
{'hecke_orbit_code': 31525334931210590, 'n': 29, 'trace_an': 10002}
-
id: 49824192
{'hecke_orbit_code': 31525334931210590, 'n': 30, 'trace_an': 0}
-
id: 49824193
{'hecke_orbit_code': 31525334931210590, 'n': 31, 'trace_an': 11392}
-
id: 49824194
{'hecke_orbit_code': 31525334931210590, 'n': 32, 'trace_an': 0}
-
id: 49824195
{'hecke_orbit_code': 31525334931210590, 'n': 33, 'trace_an': 0}
-
id: 49824196
{'hecke_orbit_code': 31525334931210590, 'n': 34, 'trace_an': -11928}
-
id: 49824197
{'hecke_orbit_code': 31525334931210590, 'n': 35, 'trace_an': 0}
-
id: 49824198
{'hecke_orbit_code': 31525334931210590, 'n': 36, 'trace_an': 9152}
-
id: 49824199
{'hecke_orbit_code': 31525334931210590, 'n': 37, 'trace_an': 0}
-
id: 49824200
{'hecke_orbit_code': 31525334931210590, 'n': 38, 'trace_an': 0}
-
id: 49824201
{'hecke_orbit_code': 31525334931210590, 'n': 39, 'trace_an': -11086}
-
id: 49824202
{'hecke_orbit_code': 31525334931210590, 'n': 40, 'trace_an': 0}
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