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mf_newforms • Show schema
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{'Nk2': 21600, 'analytic_conductor': 79.65257850774982, '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': [1350, 2, [1001, 1027], [2, 1]], 'cm_discs': [], 'conrey_index': 649, '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': [[7, [49, 0, 1]], [11, [60, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 137506063686, 'hecke_ring_generator_nbound': 7, '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': '1350.4.c.a', 'level': 1350, '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': '54.4.a.a', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q+2 i q^{2}-4 q^{4}+7 i q^{7}-8 i q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '3.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1350.4.c', 'trace_display': [0, 0, 0, 0], 'trace_hash': 691531114674218572, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.032', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.948', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.095', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.173', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.051', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 2], [0, 0], [-4, 0], [0, 0], [0, 0], [0, 7], [0, -8], [0, 0], [0, 0], [-60, 0], [0, 0], [0, -79], [-14, 0], [0, 0], [16, 0], [0, -108], [0, 0], [-11, 0], [0, 0], [0, 0], [0, -120], [0, 132], [0, 0], [0, 0], [158, 0], [0, 0], [0, -28], [96, 0], [0, 0], [20, 0], [0, 32], [0, 0], [216, 0], [0, 0], [0, 0], [0, 169], [0, -22], [0, 0], [0, 0], [-192, 0], [0, 0], [0, 488], [240, 0], [0, 0], [-264, 0], [0, 204], [0, 0], [294, 0], [0, 0], [0, 0], [0, 316], [0, -360], [0, 0], [0, 0], [56, 0], [0, 0], [0, 192], [156, 0], [0, 0], [83, 0], [0, 40], [0, 0], [-64, 0], [0, 0], [0, 0], [0, -47], [0, 432], [0, 0], [0, 0], [-216, 0], [0, 0], [0, -511], [-338, 0], [0, 0], [44, 0], [0, -420], [0, 0], [529, 0], [0, 0], [0, 0], [0, -384], [0, 1128], [0, 0], [0, 0], [-976, 0], [0, 0], [0, 480], [36, 0], [0, 0], [553, 0], [0, -528], [0, 0], [-408, 0], [0, 0], [0, 0], [0, -605], [0, 588], [0, 0], [0, 0]], 'ap': [[0, 2], [0, 0], [0, 0], [0, 7], [-60, 0], [0, -79], [0, -108], [-11, 0], [0, 132], [96, 0], [20, 0], [0, 169], [-192, 0], [0, 488], [0, 204], [0, -360], [156, 0], [83, 0], [0, -47], [-216, 0], [0, -511], [529, 0], [0, 1128], [36, 0], [0, -605], [-1248, 0], [0, 965], [0, 1332], [1942, 0], [0, -516], [0, 52], [-48, 0], [0, 2364], [-173, 0], [-1608, 0], [-997, 0], [0, -614], [0, 2693], [0, 1164], [0, 3648], [1800, 0], [-547, 0], [-3156, 0], [0, 1127], [0, 1116], [3283, 0], [-295, 0], [0, -2644], [0, -6024], [4462, 0], [0, 1008], [-5064, 0], [6257, 0], [2160, 0], [0, -168], [0, 2424], [-396, 0], [1811, 0], [0, 3022], [3072, 0], [0, -8080], [0, 4668], [0, -6752], [-1812, 0], [0, 6203], [0, 10968], [8165, 0], [0, 6523], [0, 6168], [6001, 0], [0, 552], [-5004, 0], [0, 4291], [0, -2833], [5137, 0], [0, -5088], [7980, 0], [0, 1834], [1464, 0], [151, 0], [-11508, 0], [-6271, 0], [-9468, 0], [0, 3026], [-11180, 0], [0, 840], [12780, 0], [0, 15658], [15564, 0], [0, -4183], [0, 13932], [-2712, 0], [0, 9439], [11724, 0], [11968, 0], [0, -8892], [-6756, 0], [6228, 0], [0, 11639], [17705, 0], [0, -3485], [0, -19116], [0, -22368], [8340, 0], [-14677, 0], [0, 10069], [0, 1572], [0, -1368], [-23712, 0], [-11014, 0], [0, 6415], [0, 15851], [0, 5772], [27781, 0], [-29869, 0], [-3480, 0], [0, -7432], [0, -12960], [0, -23592], [32280, 0], [22619, 0], [0, -19861], [0, -8292], [0, -19728], [27272, 0], [21996, 0], [-2009, 0], [26280, 0], [0, -20900], [0, -17638], [-30080, 0], [0, -15708], [20423, 0], [0, 4399], [20652, 0], [-27407, 0], [0, -5976], [0, -24131], [0, 912], [-12888, 0], [-6856, 0], [-636, 0], [0, 39827], [0, 38124], [-18965, 0], [27816, 0], [0, -12337], [0, -11352], [2527, 0], [0, 26388], [0, -6383], [-28908, 0], [0, 36893], [0, -45528], [0, 31201], [-23856, 0], [-23492, 0], [-15096, 0], [0, 14965], [-19524, 0], [0, 11076], [0, 44748], [0, -41519], [-28404, 0], [0, 43032], [0, -18132], [-44467, 0], [0, -19550], [14011, 0], [0, 48732], [9528, 0], [-15802, 0], [-43212, 0], [0, -35107], [50299, 0], [50088, 0], [-21328, 0], [50796, 0], [0, 45479], [-37478, 0], [0, -34823], [-744, 0], [0, -574], [0, 46044], [0, 55248], [38904, 0], [0, 39283], [0, -51847], [-46901, 0], [-972, 0], [0, 56873], [0, 51240], [53777, 0], [29100, 0], [0, -58140], [0, 46500], [-48949, 0], [0, 44237], [0, -25356], [0, 7848], [21972, 0], [-56797, 0], [0, 64771], [-30053, 0], [-13104, 0], [0, -28152], [-28955, 0], [0, -23628], [80844, 0], [-56257, 0], [0, -43895], [-62796, 0], [0, 73631], [0, 65004], [47856, 0], [-241, 0], [0, 18988], [-70980, 0], [0, 13896], [0, 28968], [22709, 0], [51604, 0], [55632, 0], [0, -12580], [0, -60684], [-13187, 0], [0, -14532], [-47412, 0], [0, 27547], [-91068, 0], [0, -106423], [28024, 0], [70220, 0], [77604, 0], [0, 67385], [0, 66084], [-16445, 0], [0, 64620], [-58056, 0], [6984, 0], [0, -12840], [-99277, 0], [0, 67115], [13201, 0], [0, -37812], [-72876, 0], [0, -40079], [46752, 0], [4192, 0], [0, -21744], [0, 111814], [-110556, 0], [0, 28956], [-2405, 0], [0, -62412], [-23580, 0], [-70603, 0], [0, 28672], [0, 26496], [0, -14906], [0, 134633], [0, -120108], [-26561, 0], [0, -26845], [0, 30936], [-68528, 0], [-23292, 0], [132312, 0], [0, 50888], [0, 114828], [30035, 0], [0, 66103], [0, -117178], [21121, 0], [0, 63970], [0, 83189], [0, -52692], [-5510, 0], [-10582, 0], [-13200, 0], [0, 80052], [4124, 0], [0, -16896], [55271, 0], [0, -103673], [109980, 0], [0, -75967], [0, 32088], [-96257, 0], [-107892, 0], [-136428, 0], [0, -53712], [0, -84216], [17664, 0], [0, 72038], [-1248, 0], [143057, 0], [0, -78540], [-36432, 0], [0, 140821], [0, -68821], [0, -73440], [52540, 0]], 'char_orbit_index': 3, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 137506063686, 'hecke_ring_character_values': [[1001, [1, 0]], [1027, [-1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '1350.4.c.a', 'level': 1350, 'maxp': 1999, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 21600, 'analytic_conductor': 79.65257850774982, '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': [1350, 2, [1001, 1027], [2, 1]], 'conrey_index': 649, 'cusp_dim': 774, 'dim': 72, 'eis_dim': 72, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 137506063686, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4], 'label': '1350.4.c', 'level': 1350, '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': 846, 'mf_new_dim': 72, 'num_forms': 28, 'prim_orbit_index': 2, 'relative_dim': 72, 'sturm_bound': 1080, 'trace_bound': 14, 'trace_display': [0, 0, 0, 0], 'traces': [72, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1152, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 564, 0, 0, 912, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, -6324, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -576, 0, 0, -4608, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 3396, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7572, 0, 0, 6192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 2520, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17316, 0, 0, -2256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3648, 0, 0, -2436, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4788, 0, 0, 6072, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3240, 0, 0, -22992, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10752, 0, 0, -1152, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 25296, 0, 0, 31692, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 53592, 0, 0, -14568, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8736, 0, 0, -35376, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22728, 0, 0, 2304, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18432, 0, 0, 13080, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -81264, 0, 0, 17568, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20352, 0, 0, 13680, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7548, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -13584, 0, 0, -45144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22452, 0, 0, 6576, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 42552, 0, 0, 77340, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -54384, 0, 0, 30288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24768, 0, 0, -30144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 62064, 0, 0, 17112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8064, 0, 0, 7332, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -61860, 0, 0, -864, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10080, 0, 0, -17076, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13896, 0, 0, 61728, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 79536, 0, 0, 40308, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10344, 0, 0, -69264, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9024, 0, 0, -110640, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -149196, 0, 0, 23808, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12720, 0, 0, 55440, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -85872, 0, 0, 14592, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9744, 0, 0, 2436, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -120936, 0, 0, -190128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -47280, 0, 0, -62748, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28620, 0, 0, 19152, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24288, 0, 0, -11160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -75444, 0, 0, 130680, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2256, 0, 0, -83376, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112092, 0, 0, -12960, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 91968, 0, 0, -112068, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12096, 0, 0, -15864, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -150768, 0, 0, 66192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 222000, 0, 0, 43008, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4608, 0, 0, -106344, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -25248, 0, 0, -32544, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20016, 0, 0, -9780, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -105912, 0, 0, -101184, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -126768, 0, 0, 479376, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22056, 0, 0, 482208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12576, 0, 0, 259644, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -416592, 0, 0, -214368, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 58272, 0, 0, -471444, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -54024, 0, 0, -96768, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -44784, 0, 0, 113316, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 229680, 0, 0, -34944, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 141504, 0, 0, -138828, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1608, 0, 0, -152232, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 176304, 0, 0, 61032, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -289740, 0, 0, -90912, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -9216, 0, 0, 125856, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 245196, 0, 0, 336192, 0, 0, 0, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 717242
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1350.4.c.a', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '54.4.a.a', 'target_level': 54, 'twist_class_label': '54.4.a.a', 'twist_class_level': 54, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 717243
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1350.4.c.a', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '54.4.a.d', 'target_level': 54, 'twist_class_label': '54.4.a.a', 'twist_class_level': 54, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 717244
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1350.4.c.a', 'source_level': 1350, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '162.4.c.a', 'target_level': 162, 'twist_class_label': '54.4.a.a', 'twist_class_level': 54, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 717245
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1350.4.c.a', 'source_level': 1350, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '162.4.c.h', 'target_level': 162, 'twist_class_label': '54.4.a.a', 'twist_class_level': 54, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 717246
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1350.4.c.a', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '432.4.a.b', 'target_level': 432, 'twist_class_label': '54.4.a.a', 'twist_class_level': 54, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 717247
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1350.4.c.a', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '432.4.a.m', 'target_level': 432, 'twist_class_label': '54.4.a.a', 'twist_class_level': 54, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 717248
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1350.4.c.a', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1350.4.a.h', 'target_level': 1350, 'twist_class_label': '54.4.a.a', 'twist_class_level': 54, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 717249
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1350.4.c.a', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '1350.4.a.v', 'target_level': 1350, 'twist_class_label': '54.4.a.a', 'twist_class_level': 54, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 717250
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1350.4.c.a', 'source_level': 1350, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1350.4.c.a', 'target_level': 1350, 'twist_class_label': '54.4.a.a', 'twist_class_level': 54, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 717251
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1350.4.c.a', 'source_level': 1350, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1350.4.c.a', 'target_level': 1350, 'twist_class_label': '54.4.a.a', 'twist_class_level': 54, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 717252
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1350.4.c.a', 'source_level': 1350, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '1350.4.c.t', 'target_level': 1350, 'twist_class_label': '54.4.a.a', 'twist_class_level': 54, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 717253
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1350.4.c.a', 'source_level': 1350, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '1350.4.c.t', 'target_level': 1350, 'twist_class_label': '54.4.a.a', 'twist_class_level': 54, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 717254
{'conductor': 120, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1350.4.c.a', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1728.4.a.e', 'target_level': 1728, 'twist_class_label': '54.4.a.a', 'twist_class_level': 54, 'twisting_char_label': '120.w', 'twisting_char_orbit': 23, 'weight': 4}
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id: 717255
{'conductor': 120, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1350.4.c.a', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1728.4.a.f', 'target_level': 1728, 'twist_class_label': '54.4.a.a', 'twist_class_level': 54, 'twisting_char_label': '120.q', 'twisting_char_orbit': 17, 'weight': 4}
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id: 717256
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1350.4.c.a', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '1728.4.a.ba', 'target_level': 1728, 'twist_class_label': '54.4.a.a', 'twist_class_level': 54, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 717257
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1350.4.c.a', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '1728.4.a.bb', 'target_level': 1728, 'twist_class_label': '54.4.a.a', 'twist_class_level': 54, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1888750
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 137506063686, 'p': 2}
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id: 1888751
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 137506063686, 'p': 3}
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id: 1888752
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 137506063686, 'p': 5}
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id: 1888753
{'charpoly_factorization': [[[49, 0, 1], 1]], 'hecke_orbit_code': 137506063686, 'p': 7}
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id: 1888754
{'charpoly_factorization': [[[60, 1], 2]], 'hecke_orbit_code': 137506063686, 'p': 11}
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id: 1888755
{'charpoly_factorization': [[[6241, 0, 1], 1]], 'hecke_orbit_code': 137506063686, 'p': 13}
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id: 1888756
{'charpoly_factorization': [[[11664, 0, 1], 1]], 'hecke_orbit_code': 137506063686, 'p': 17}
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id: 1888757
{'charpoly_factorization': [[[11, 1], 2]], 'hecke_orbit_code': 137506063686, 'p': 19}
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id: 1888758
{'charpoly_factorization': [[[17424, 0, 1], 1]], 'hecke_orbit_code': 137506063686, 'p': 23}
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id: 1888759
{'charpoly_factorization': [[[-96, 1], 2]], 'hecke_orbit_code': 137506063686, 'p': 29}
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id: 1888760
{'charpoly_factorization': [[[-20, 1], 2]], 'hecke_orbit_code': 137506063686, 'p': 31}
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id: 1888761
{'charpoly_factorization': [[[28561, 0, 1], 1]], 'hecke_orbit_code': 137506063686, 'p': 37}
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id: 1888762
{'charpoly_factorization': [[[192, 1], 2]], 'hecke_orbit_code': 137506063686, 'p': 41}
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id: 1888763
{'charpoly_factorization': [[[238144, 0, 1], 1]], 'hecke_orbit_code': 137506063686, 'p': 43}
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id: 1888764
{'charpoly_factorization': [[[41616, 0, 1], 1]], 'hecke_orbit_code': 137506063686, 'p': 47}
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id: 1888765
{'charpoly_factorization': [[[129600, 0, 1], 1]], 'hecke_orbit_code': 137506063686, 'p': 53}
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id: 1888766
{'charpoly_factorization': [[[-156, 1], 2]], 'hecke_orbit_code': 137506063686, 'p': 59}
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id: 1888767
{'charpoly_factorization': [[[-83, 1], 2]], 'hecke_orbit_code': 137506063686, 'p': 61}
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id: 1888768
{'charpoly_factorization': [[[2209, 0, 1], 1]], 'hecke_orbit_code': 137506063686, 'p': 67}
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id: 1888769
{'charpoly_factorization': [[[216, 1], 2]], 'hecke_orbit_code': 137506063686, 'p': 71}
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id: 1888770
{'charpoly_factorization': [[[261121, 0, 1], 1]], 'hecke_orbit_code': 137506063686, 'p': 73}
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id: 1888771
{'charpoly_factorization': [[[-529, 1], 2]], 'hecke_orbit_code': 137506063686, 'p': 79}
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id: 1888772
{'charpoly_factorization': [[[1272384, 0, 1], 1]], 'hecke_orbit_code': 137506063686, 'p': 83}
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id: 1888773
{'charpoly_factorization': [[[-36, 1], 2]], 'hecke_orbit_code': 137506063686, 'p': 89}
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id: 1888774
{'charpoly_factorization': [[[366025, 0, 1], 1]], 'hecke_orbit_code': 137506063686, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 1, 'label': '1350.4.c.a', 'level': 1350, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 5968603
{'hecke_orbit_code': 137506063686, 'n': 1, 'trace_an': 2}
-
id: 5968604
{'hecke_orbit_code': 137506063686, 'n': 2, 'trace_an': 0}
-
id: 5968605
{'hecke_orbit_code': 137506063686, 'n': 3, 'trace_an': 0}
-
id: 5968606
{'hecke_orbit_code': 137506063686, 'n': 4, 'trace_an': -8}
-
id: 5968607
{'hecke_orbit_code': 137506063686, 'n': 5, 'trace_an': 0}
-
id: 5968608
{'hecke_orbit_code': 137506063686, 'n': 6, 'trace_an': 0}
-
id: 5968609
{'hecke_orbit_code': 137506063686, 'n': 7, 'trace_an': 0}
-
id: 5968610
{'hecke_orbit_code': 137506063686, 'n': 8, 'trace_an': 0}
-
id: 5968611
{'hecke_orbit_code': 137506063686, 'n': 9, 'trace_an': 0}
-
id: 5968612
{'hecke_orbit_code': 137506063686, 'n': 10, 'trace_an': 0}
-
id: 5968613
{'hecke_orbit_code': 137506063686, 'n': 11, 'trace_an': -120}
-
id: 5968614
{'hecke_orbit_code': 137506063686, 'n': 12, 'trace_an': 0}
-
id: 5968615
{'hecke_orbit_code': 137506063686, 'n': 13, 'trace_an': 0}
-
id: 5968616
{'hecke_orbit_code': 137506063686, 'n': 14, 'trace_an': -28}
-
id: 5968617
{'hecke_orbit_code': 137506063686, 'n': 15, 'trace_an': 0}
-
id: 5968618
{'hecke_orbit_code': 137506063686, 'n': 16, 'trace_an': 32}
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id: 5968619
{'hecke_orbit_code': 137506063686, 'n': 17, 'trace_an': 0}
-
id: 5968620
{'hecke_orbit_code': 137506063686, 'n': 18, 'trace_an': 0}
-
id: 5968621
{'hecke_orbit_code': 137506063686, 'n': 19, 'trace_an': -22}
-
id: 5968622
{'hecke_orbit_code': 137506063686, 'n': 20, 'trace_an': 0}
-
id: 5968623
{'hecke_orbit_code': 137506063686, 'n': 21, 'trace_an': 0}
-
id: 5968624
{'hecke_orbit_code': 137506063686, 'n': 22, 'trace_an': 0}
-
id: 5968625
{'hecke_orbit_code': 137506063686, 'n': 23, 'trace_an': 0}
-
id: 5968626
{'hecke_orbit_code': 137506063686, 'n': 24, 'trace_an': 0}
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id: 5968627
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