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{'Nk2': 23040, 'analytic_conductor': 84.96275040826649, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, 1]], 'atkin_lehner_string': '+-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1440, 1, [991, 901, 641, 577], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [-12, 1]], [11, [24, 1]], [17, [-6, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021597831333280, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1440.4.a.g', 'level': 1440, '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, 3, 5], 'level_radical': 30, 'minimal_twist': '480.4.a.e', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-5q^{5}+12q^{7}-24q^{11}+38q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1440.4.a', 'trace_display': [0, 0, -5, 12], 'trace_hash': 397773757345169809, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.997', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1], [0], [0], [0], [-5], [0], [12], [0], [0], [0], [-24], [0], [38], [0], [0], [0], [6], [0], [-104], [0], [0], [0], [100], [0], [25], [0], [0], [0], [-230], [0], [56], [0], [0], [0], [-60], [0], [190], [0], [0], [0], [-202], [0], [148], [0], [0], [0], [124], [0], [-199], [0], [0], [0], [-206], [0], [120], [0], [0], [0], [-128], [0], [190], [0], [0], [0], [-190], [0], [204], [0], [0], [0], [-440], [0], [1210], [0], [0], [0], [-288], [0], [-816], [0], [0], [0], [-1412], [0], [-30], [0], [0], [0], [214], [0], [456], [0], [0], [0], [520], [0], [1202], [0], [0], [0]], 'ap': [[0], [0], [-5], [12], [-24], [38], [6], [-104], [100], [-230], [56], [190], [-202], [148], [124], [-206], [-128], [190], [204], [-440], [1210], [-816], [-1412], [214], [1202], [-1342], [-908], [-876], [302], [998], [-836], [-1480], [-1346], [-824], [2450], [-2696], [-554], [1364], [-2004], [1546], [-1072], [-3754], [1224], [-1694], [-3134], [-2560], [1856], [-1596], [-3996], [-6090], [894], [-6336], [338], [-4872], [1878], [2244], [4314], [6392], [4398], [7622], [-1020], [3746], [-9700], [4152], [6362], [-10886], [-4128], [12002], [6276], [-9362], [838], [-6896], [1132], [-12578], [-11752], [-7372], [-6654], [4278], [-9074], [6682], [4832], [3974], [1112], [1106], [9280], [7004], [11502], [11578], [6362], [-2892], [-11036], [-13664], [-4820], [17464], [-13960], [20388], [12954], [3542], [-1532], [-11826], [11260], [-4374], [-11604], [7990], [26080], [13922], [26340], [9478], [6528], [2090], [-8788], [-2626], [29214], [-22984], [-4472], [8798], [29428], [4860], [6570], [26496], [-19642], [-19582], [22914], [-13764], [34688], [17226], [-12970], [10832], [-35588], [19238], [4072], [31268], [28216], [-33874], [-5466], [-8878], [9538], [5404], [-16326], [-26202], [26208], [1986], [5236], [-26044], [21246], [-17440], [33582], [18942], [-25720], [32436], [8646], [-27442], [14116], [4124], [-42100], [34152], [-41984], [-48434], [-25590], [18906], [-36316], [-15890], [-116], [4744], [18374], [-13036], [-15224], [-43794], [19298], [-17518], [-41936], [22942], [39624], [45018], [48928], [-54378], [58192], [-6222], [-48940], [49246], [-28804], [-23688], [9790], [37870], [-42780], [-25182], [41686], [-4684], [45130], [-48232], [-71342], [26364], [-61392], [-53478], [-7324], [-3282], [-64638], [27606], [78102], [-38460], [18298], [62760], [-63074], [-66110], [18816], [21210], [-72800], [-79236], [-32762], [68192], [-62414], [14002], [5508], [-33356], [-62416], [-24470], [-58436], [-20850], [-76708], [47290], [-26426], [60400], [-1554], [-53980], [55908], [-27562], [48862], [32896], [61180], [-19272], [19686], [-81368], [63160], [22038], [1588], [-8212], [-96174], [80562], [-22544], [28440], [34700], [46032], [87940], [60446], [-99946], [-34464], [-94948], [22872], [34488], [-42780], [-17274], [-14658], [-54132], [55578], [50602], [-6000], [-58346], [6380], [-112350], [37402], [117332], [-44732], [23126], [51462], [-118842], [135448], [111066], [-55450], [114356], [15138], [32622], [-34868], [-10870], [-28032], [56994], [75668], [24820], [70734], [15738], [127800], [81076], [41224], [-20276], [58518], [103308], [101080], [-22366], [-119758], [-55184], [-125330], [-70390], [39300], [26286], [-149464], [-8042], [114650], [-10376], [-123182], [-41424], [164556], [62314], [-48630], [-137632], [107148], [166448], [50578], [141476], [44654], [71904], [-53394], [29956], [144114], [95390], [137492], [40572], [-62518], [-40352], [-135816], [-10446], [-12802], [-128960], [48538], [126506], [-34764], [126862], [-4846], [46856], [119780], [148284], [147746], [-205794], [5562], [-91216], [145788], [-189728], [124308], [-63922], [126982], [149626], [-117492], [-18370], [82622], [53490], [-24936], [-23942], [-123040], [-118490], [-18436], [-57192], [-63982], [-19296], [196986], [-11622], [105268], [-121290], [-41778], [151440], [-49704], [77046], [55668], [-210482], [103062], [-13780], [-89760], [102012], [-3990], [-127734], [-37788], [-100550], [-15480], [-38952], [-97740], [102082], [-221416], [-36794], [209440], [-185144], [78658], [-64226], [200650], [-30966], [76542], [-3028], [86118], [197832], [-172412], [-10040], [-30418], [-113436], [-68340], [-36654], [120802], [172416], [-1604], [-83208], [-110390], [-72736], [-127642], [9680], [-119246], [203918], [-148026], [101644], [178062], [-38574], [-256312], [76918], [246574], [171524], [-219616], [-88238], [-171278], [-79972], [-47280], [46938], [93258], [-256000], [86876], [-46026], [-55596], [-231078], [-90866], [250396], [122480], [290858], [50698], [-118036], [-287562], [-192128], [16400]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 27021597831333280, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '1440.4.a.g', 'level': 1440, 'maxp': 2999, 'weight': 4}
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mf_newspaces • Show schema
Hide schema
{'ALdims': [7, 5, 9, 10, 5, 7, 9, 8], 'Nk2': 23040, 'analytic_conductor': 84.96275040826649, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1440, 1, [991, 901, 641, 577], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 832, 'dim': 60, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17], 'hecke_orbit_code': 67110304, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3], 'label': '1440.4.a', 'level': 1440, '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, 3, 5], 'level_radical': 30, 'mf_dim': 896, 'mf_new_dim': 60, 'num_forms': 37, 'plus_dim': 33, 'prim_orbit_index': 1, 'relative_dim': 60, 'sturm_bound': 1152, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, -152, 0, 0, 0, 0, 0, 0, 0, 1500, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 1008, 0, 0, 0, -416, 0, 0, 0, 0, 0, 0, 0, 2116, 0, 0, 0, -784, 0, 0, 0, 0, 0, 0, 0, 1760, 0, 0, 0, 280, 0, 0, 0, 0, 0, 0, 0, -1224, 0, 0, 0, 1680, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3656, 0, 0, 0, 0, 0, 0, 0, 680, 0, 0, 0, -264, 0, 0, 0, 0, 0, 0, 0, 3360, 0, 0, 0, 4856, 0, 0, 0, 0, 0, 0, 0, 12556, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13856, 0, 0, 0, -1480, 0, 0, 0, 0, 0, 0, 0, 720, 0, 0, 0, -13344, 0, 0, 0, 0, 0, 0, 0, -1360, 0, 0, 0, 16264, 0, 0, 0, 0, 0, 0, 0, 25700, 0, 0, 0, 11920, 0, 0, 0, 0, 0, 0, 0, 10152, 0, 0, 0, 2040, 0, 0, 0, 0, 0, 0, 0, 6936, 0, 0, 0, 4640, 0, 0, 0, 0, 0, 0, 0, -2520, 0, 0, 0, 22432, 0, 0, 0, 0, 0, 0, 0, 14832, 0, 0, 0, 22304, 0, 0, 0, 0, 0, 0, 0, -232, 0, 0, 0, -6984, 0, 0, 0, 0, 0, 0, 0, 560, 0, 0, 0, -5240, 0, 0, 0, 0, 0, 0, 0, -5904, 0, 0, 0, 36696, 0, 0, 0, 0, 0, 0, 0, 5080, 0, 0, 0, 23616, 0, 0, 0, 0, 0, 0, 0, 11360, 0, 0, 0, -34528, 0, 0, 0, 0, 0, 0, 0, 19700, 0, 0, 0, -30064, 0, 0, 0, 0, 0, 0, 0, -7160, 0, 0, 0, 11000, 0, 0, 0, 0, 0, 0, 0, 37528, 0, 0, 0, 22592, 0, 0, 0, 0, 0, 0, 0, -3600, 0, 0, 0, -28392, 0, 0, 0, 0, 0, 0, 0, 10360, 0, 0, 0, -56448, 0, 0, 0, 0, 0, 0, 0, -2728, 0, 0, 0, 21096, 0, 0, 0, 0, 0, 0, 0, 63212, 0, 0, 0, 21440, 0, 0, 0, 0, 0, 0, 0, 35808, 0, 0, 0, -19488, 0, 0, 0, 0, 0, 0, 0, -14640, 0, 0, 0, -15808, 0, 0, 0, 0, 0, 0, 0, -59408, 0, 0, 0, 48344, 0, 0, 0, 0, 0, 0, 0, 7744, 0, 0, 0, -4064, 0, 0, 0, 0, 0, 0, 0, -3520, 0, 0, 0, -3800, 0, 0, 0, 0, 0, 0, 0, 29832, 0, 0, 0, -87648, 0, 0, 0, 0, 0, 0, 0, 11040, 0, 0, 0, 13008, 0, 0, 0, 0, 0, 0, 0, -11272, 0, 0, 0, 12600, 0, 0, 0, 0, 0, 0, 0, 6040, 0, 0, 0, -8656, 0, 0, 0, 0, 0, 0, 0, -35696, 0, 0, 0, 5200, 0, 0, 0, 0, 0, 0, 0, -82576, 0, 0, 0, 30608, 0, 0, 0, 0, 0, 0, 0, -13120, 0, 0, 0, -31160, 0, 0, 0, 0, 0, 0, 0, -53360, 0, 0, 0, -15656, 0, 0, 0, 0, 0, 0, 0, -49436, 0, 0, 0, -70768, 0, 0, 0, 0, 0, 0, 0, 5512, 0, 0, 0, 1400, 0, 0, 0, 0, 0, 0, 0, 8224, 0, 0, 0, 43168, 0, 0, 0, 0, 0, 0, 0, 5360, 0, 0, 0, -21584, 0, 0, 0, 0, 0, 0, 0, -59096, 0, 0, 0, 75672, 0, 0, 0, 0, 0, 0, 0, -87168, 0, 0, 0, -41784, 0, 0, 0, 0, 0, 0, 0, 31280, 0, 0, 0, -16160, 0, 0, 0, 0, 0, 0, 0, -183616, 0, 0, 0, -51464, 0, 0, 0, 0, 0, 0, 0, 37500, 0, 0, 0, -114208, 0, 0, 0, 0, 0, 0, 0, -146688, 0, 0, 0, 38464, 0, 0, 0, 0, 0, 0, 0, -186848, 0, 0, 0, 6752, 0, 0, 0, 0, 0, 0, 0, -52832, 0, 0, 0, 16960, 0, 0, 0, 0, 0, 0, 0, -54616, 0, 0, 0, 57856, 0, 0, 0, 0, 0, 0, 0, 8400, 0, 0, 0, -62160, 0, 0, 0, 0, 0, 0, 0, -70752, 0, 0, 0, -35264, 0, 0, 0, 0, 0, 0, 0, -35880, 0, 0, 0, 99376, 0, 0, 0, 0, 0, 0, 0, 664, 0, 0, 0, -1400, 0, 0, 0, 0, 0, 0, 0, -30320, 0, 0, 0, -29168, 0, 0, 0, 0, 0, 0, 0, 20840, 0, 0, 0, 22504, 0, 0, 0, 0, 0, 0, 0, -10208, 0, 0, 0, 99864, 0, 0, 0, 0, 0, 0, 0, 64120, 0, 0, 0, 266368, 0, 0, 0, 0, 0, 0, 0, -34336, 0, 0, 0, -46600, 0, 0, 0, 0, 0, 0, 0, -202032, 0, 0, 0, -122400, 0, 0, 0, 0, 0, 0, 0, -23960, 0, 0, 0, 75384, 0, 0, 0, 0, 0, 0, 0, -73504, 0, 0, 0, -135840, 0, 0, 0, 0, 0, 0, 0, 38624, 0, 0, 0, -125800, 0, 0, 0, 0, 0, 0, 0, 75140, 0, 0, 0, -18560, 0, 0, 0, 0, 0, 0, 0, 83872, 0, 0, 0, 17880, 0, 0, 0, 0, 0, 0, 0, 23640, 0, 0, 0, 259936, 0, 0, 0, 0, 0, 0, 0, 65104, 0, 0, 0, -116032, 0, 0, 0, 0, 0, 0, 0, 142920, 0, 0, 0, -248800, 0, 0, 0, 0, 0, 0, 0, -165920, 0, 0, 0, 25760, 0, 0, 0, 0, 0, 0, 0, -35760, 0, 0, 0, -132048, 0, 0, 0, 0, 0, 0, 0, 25200, 0, 0, 0, -29392, 0, 0, 0, 0, 0, 0, 0, -139480, 0, 0, 0, 13144, 0, 0, 0, 0, 0, 0, 0, 2528, 0, 0, 0, 103528, 0, 0, 0, 0, 0, 0, 0, -76836, 0, 0, 0, 70240, 0, 0, 0, 0, 0, 0, 0, 332608, 0, 0, 0, -156072, 0, 0, 0, 0, 0, 0, 0, 10760, 0, 0, 0, -216024, 0, 0, 0, 0, 0, 0, 0, 104272, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 734861
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1440.4.a.g', 'source_level': 1440, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '480.4.a.e', 'target_level': 480, 'twist_class_label': '480.4.a.e', 'twist_class_level': 480, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 734862
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1440.4.a.g', 'source_level': 1440, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': True, 'target_label': '480.4.a.j', 'target_level': 480, 'twist_class_label': '480.4.a.e', 'twist_class_level': 480, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 734863
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1440.4.a.g', 'source_level': 1440, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '960.4.a.d', 'target_level': 960, 'twist_class_label': '480.4.a.e', 'twist_class_level': 480, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 734864
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1440.4.a.g', 'source_level': 1440, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '960.4.a.y', 'target_level': 960, 'twist_class_label': '480.4.a.e', 'twist_class_level': 480, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 734865
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1440.4.a.g', 'source_level': 1440, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1440.4.a.d', 'target_level': 1440, 'twist_class_label': '480.4.a.e', 'twist_class_level': 480, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 734866
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1440.4.a.g', 'source_level': 1440, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1440.4.a.g', 'target_level': 1440, 'twist_class_label': '480.4.a.e', 'twist_class_level': 480, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 734867
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1440.4.a.g', 'source_level': 1440, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2400.4.a.g', 'target_level': 2400, 'twist_class_label': '480.4.a.e', 'twist_class_level': 480, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 734868
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1440.4.a.g', 'source_level': 1440, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '2400.4.a.p', 'target_level': 2400, 'twist_class_label': '480.4.a.e', 'twist_class_level': 480, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1949650
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597831333280, 'p': 2}
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id: 1949651
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597831333280, 'p': 3}
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id: 1949652
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 27021597831333280, 'p': 5}
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id: 1949653
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 27021597831333280, 'p': 7}
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id: 1949654
{'charpoly_factorization': [[[24, 1], 1]], 'hecke_orbit_code': 27021597831333280, 'p': 11}
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id: 1949655
{'charpoly_factorization': [[[-38, 1], 1]], 'hecke_orbit_code': 27021597831333280, 'p': 13}
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id: 1949656
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 27021597831333280, 'p': 17}
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id: 1949657
{'charpoly_factorization': [[[104, 1], 1]], 'hecke_orbit_code': 27021597831333280, 'p': 19}
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id: 1949658
{'charpoly_factorization': [[[-100, 1], 1]], 'hecke_orbit_code': 27021597831333280, 'p': 23}
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id: 1949659
{'charpoly_factorization': [[[230, 1], 1]], 'hecke_orbit_code': 27021597831333280, 'p': 29}
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id: 1949660
{'charpoly_factorization': [[[-56, 1], 1]], 'hecke_orbit_code': 27021597831333280, 'p': 31}
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id: 1949661
{'charpoly_factorization': [[[-190, 1], 1]], 'hecke_orbit_code': 27021597831333280, 'p': 37}
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id: 1949662
{'charpoly_factorization': [[[202, 1], 1]], 'hecke_orbit_code': 27021597831333280, 'p': 41}
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id: 1949663
{'charpoly_factorization': [[[-148, 1], 1]], 'hecke_orbit_code': 27021597831333280, 'p': 43}
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id: 1949664
{'charpoly_factorization': [[[-124, 1], 1]], 'hecke_orbit_code': 27021597831333280, 'p': 47}
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id: 1949665
{'charpoly_factorization': [[[206, 1], 1]], 'hecke_orbit_code': 27021597831333280, 'p': 53}
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id: 1949666
{'charpoly_factorization': [[[128, 1], 1]], 'hecke_orbit_code': 27021597831333280, 'p': 59}
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id: 1949667
{'charpoly_factorization': [[[-190, 1], 1]], 'hecke_orbit_code': 27021597831333280, 'p': 61}
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id: 1949668
{'charpoly_factorization': [[[-204, 1], 1]], 'hecke_orbit_code': 27021597831333280, 'p': 67}
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id: 1949669
{'charpoly_factorization': [[[440, 1], 1]], 'hecke_orbit_code': 27021597831333280, 'p': 71}
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id: 1949670
{'charpoly_factorization': [[[-1210, 1], 1]], 'hecke_orbit_code': 27021597831333280, 'p': 73}
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id: 1949671
{'charpoly_factorization': [[[816, 1], 1]], 'hecke_orbit_code': 27021597831333280, 'p': 79}
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id: 1949672
{'charpoly_factorization': [[[1412, 1], 1]], 'hecke_orbit_code': 27021597831333280, 'p': 83}
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id: 1949673
{'charpoly_factorization': [[[-214, 1], 1]], 'hecke_orbit_code': 27021597831333280, 'p': 89}
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id: 1949674
{'charpoly_factorization': [[[-1202, 1], 1]], 'hecke_orbit_code': 27021597831333280, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 7, 'label': '1440.4.a.g', 'level': 1440, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
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id: 46642507
{'hecke_orbit_code': 27021597831333280, 'n': 1, 'trace_an': 1}
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id: 46642508
{'hecke_orbit_code': 27021597831333280, 'n': 2, 'trace_an': 0}
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id: 46642509
{'hecke_orbit_code': 27021597831333280, 'n': 3, 'trace_an': 0}
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id: 46642510
{'hecke_orbit_code': 27021597831333280, 'n': 4, 'trace_an': 0}
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id: 46642511
{'hecke_orbit_code': 27021597831333280, 'n': 5, 'trace_an': -5}
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id: 46642512
{'hecke_orbit_code': 27021597831333280, 'n': 6, 'trace_an': 0}
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id: 46642513
{'hecke_orbit_code': 27021597831333280, 'n': 7, 'trace_an': 12}
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id: 46642514
{'hecke_orbit_code': 27021597831333280, 'n': 8, 'trace_an': 0}
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id: 46642515
{'hecke_orbit_code': 27021597831333280, 'n': 9, 'trace_an': 0}
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id: 46642516
{'hecke_orbit_code': 27021597831333280, 'n': 10, 'trace_an': 0}
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id: 46642517
{'hecke_orbit_code': 27021597831333280, 'n': 11, 'trace_an': -24}
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id: 46642518
{'hecke_orbit_code': 27021597831333280, 'n': 12, 'trace_an': 0}
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id: 46642519
{'hecke_orbit_code': 27021597831333280, 'n': 13, 'trace_an': 38}
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id: 46642520
{'hecke_orbit_code': 27021597831333280, 'n': 14, 'trace_an': 0}
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id: 46642521
{'hecke_orbit_code': 27021597831333280, 'n': 15, 'trace_an': 0}
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id: 46642522
{'hecke_orbit_code': 27021597831333280, 'n': 16, 'trace_an': 0}
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id: 46642523
{'hecke_orbit_code': 27021597831333280, 'n': 17, 'trace_an': 6}
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id: 46642524
{'hecke_orbit_code': 27021597831333280, 'n': 18, 'trace_an': 0}
-
id: 46642525
{'hecke_orbit_code': 27021597831333280, 'n': 19, 'trace_an': -104}
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id: 46642526
{'hecke_orbit_code': 27021597831333280, 'n': 20, 'trace_an': 0}
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id: 46642527
{'hecke_orbit_code': 27021597831333280, 'n': 21, 'trace_an': 0}
-
id: 46642528
{'hecke_orbit_code': 27021597831333280, 'n': 22, 'trace_an': 0}
-
id: 46642529
{'hecke_orbit_code': 27021597831333280, 'n': 23, 'trace_an': 100}
-
id: 46642530
{'hecke_orbit_code': 27021597831333280, 'n': 24, 'trace_an': 0}
-
id: 46642531
{'hecke_orbit_code': 27021597831333280, 'n': 25, 'trace_an': 25}
-
id: 46642532
{'hecke_orbit_code': 27021597831333280, 'n': 26, 'trace_an': 0}
-
id: 46642533
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