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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, [841, 0, 1]], [11, [57, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503737133434182, '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.b', '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.b', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q+2 i q^{2}-4 q^{4}+29 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': 87977112375535329, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.016', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.041', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.294', 'prec': 17}, {'__RealLiteral__': 0, 'data': '16.633', 'prec': 20}, {'__RealLiteral__': 0, 'data': '3.570', '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, 29], [0, -8], [0, 0], [0, 0], [-57, 0], [0, 0], [0, -20], [-58, 0], [0, 0], [16, 0], [0, -72], [0, 0], [106, 0], [0, 0], [0, 0], [0, -114], [0, -174], [0, 0], [0, 0], [40, 0], [0, 0], [0, -116], [210, 0], [0, 0], [47, 0], [0, 32], [0, 0], [144, 0], [0, 0], [0, 0], [0, 2], [0, 212], [0, 0], [0, 0], [-6, 0], [0, 0], [0, -218], [228, 0], [0, 0], [348, 0], [0, 474], [0, 0], [-498, 0], [0, 0], [0, 0], [0, 80], [0, -81], [0, 0], [0, 0], [232, 0], [0, 0], [0, 420], [-84, 0], [0, 0], [56, 0], [0, 94], [0, 0], [-64, 0], [0, 0], [0, 0], [0, -142], [0, 288], [0, 0], [0, 0], [360, 0], [0, 0], [0, 1159], [-4, 0], [0, 0], [-424, 0], [0, -1653], [0, 0], [160, 0], [0, 0], [0, 0], [0, -12], [0, -735], [0, 0], [0, 0], [436, 0], [0, 0], [0, 456], [954, 0], [0, 0], [580, 0], [0, 696], [0, 0], [-948, 0], [0, 0], [0, 0], [0, 191], [0, -996], [0, 0], [0, 0]], 'ap': [[0, 2], [0, 0], [0, 0], [0, 29], [-57, 0], [0, -20], [0, -72], [106, 0], [0, -174], [210, 0], [47, 0], [0, 2], [-6, 0], [0, -218], [0, 474], [0, -81], [-84, 0], [56, 0], [0, -142], [360, 0], [0, 1159], [160, 0], [0, -735], [954, 0], [0, 191], [-363, 0], [0, 628], [0, 675], [-1730, 0], [0, -1866], [0, 1379], [579, 0], [0, 654], [3004, 0], [-1803, 0], [2459, 0], [0, -196], [0, 1564], [0, 1974], [0, 2217], [2475, 0], [1568, 0], [1140, 0], [0, -2045], [0, -3735], [-1163, 0], [2126, 0], [0, 2752], [0, -3972], [-4502, 0], [0, -4842], [5334, 0], [-3994, 0], [-1008, 0], [0, -924], [0, -1014], [2970, 0], [245, 0], [0, 4376], [240, 0], [0, 6838], [0, 5118], [0, -5560], [7662, 0], [0, -3485], [0, -7059], [9290, 0], [0, -3814], [0, 1929], [6586, 0], [0, 6042], [3762, 0], [0, -7261], [0, -1640], [7396, 0], [0, 4992], [9453, 0], [0, 8588], [-1716, 0], [9889, 0], [-5556, 0], [-2104, 0], [7614, 0], [0, -7805], [5209, 0], [0, -4236], [16002, 0], [0, 7319], [9483, 0], [0, -10793], [0, 2583], [1254, 0], [0, 17336], [-15171, 0], [-8930, 0], [0, -15210], [-19641, 0], [22428, 0], [0, 8152], [-2860, 0], [0, -9664], [0, 14859], [0, -8193], [16572, 0], [-6244, 0], [0, -14794], [0, -26769], [0, 3078], [-1002, 0], [-20653, 0], [0, 27128], [0, -24518], [0, -474], [1132, 0], [6725, 0], [-21126, 0], [0, -19460], [0, -11664], [0, 3345], [-9393, 0], [-1762, 0], [0, -25517], [0, 26898], [0, -23940], [23060, 0], [-14175, 0], [8692, 0], [29556, 0], [0, -36691], [0, 19798], [21976, 0], [0, 13236], [-6325, 0], [0, -3238], [-40416, 0], [4759, 0], [0, -27414], [0, 6176], [0, 6879], [16902, 0], [24086, 0], [7854, 0], [0, -5771], [0, -17568], [-31322, 0], [-41856, 0], [0, -15662], [0, -39864], [9160, 0], [0, -5076], [0, 14978], [-22860, 0], [0, 32506], [0, 35868], [0, -33586], [-28902, 0], [-28271, 0], [-19140, 0], [0, 31619], [-20913, 0], [0, 17529], [0, 53604], [0, 11117], [-27297, 0], [0, 25086], [0, 20982], [11477, 0], [0, 8588], [-21899, 0], [0, 22686], [56091, 0], [55262, 0], [39234, 0], [0, 58534], [50605, 0], [-39162, 0], [45470, 0], [-32409, 0], [0, -677], [24568, 0], [0, 33563], [16251, 0], [0, -57854], [0, -16812], [0, 28500], [-52791, 0], [0, -36826], [0, -46496], [69397, 0], [-48834, 0], [0, 23758], [0, -24765], [7454, 0], [37599, 0], [0, 59508], [0, -11100], [67007, 0], [0, -23654], [0, 36564], [0, 69156], [4569, 0], [-3373, 0], [0, -30760], [-8885, 0], [67707, 0], [0, -27738], [-44660, 0], [0, -61527], [-86010, 0], [61472, 0], [0, -29023], [44526, 0], [0, -7265], [0, 23001], [44808, 0], [46577, 0], [0, -18664], [-83838, 0], [0, 91998], [0, -30738], [-79522, 0], [-69356, 0], [-32376, 0], [0, 50380], [0, 28227], [73384, 0], [0, -106872], [-42030, 0], [0, -80512], [-11892, 0], [0, 78010], [21112, 0], [-1168, 0], [-6036, 0], [0, 51622], [0, -4908], [-20270, 0], [0, 22230], [67371, 0], [-13284, 0], [0, -51540], [-65230, 0], [0, -11117], [-43688, 0], [0, -480], [-14244, 0], [0, -27457], [35211, 0], [-45002, 0], [0, 32364], [0, -32380], [-57168, 0], [0, 34770], [-24329, 0], [0, 52851], [-34371, 0], [116804, 0], [0, 108056], [0, -43839], [0, 26057], [0, -58349], [0, 60657], [119698, 0], [0, 45736], [0, 103260], [51892, 0], [-93654, 0], [10950, 0], [0, -109964], [0, 118014], [-36376, 0], [0, 2864], [0, -22061], [-21161, 0], [0, 5393], [0, -37667], [0, -20409], [83104, 0], [120287, 0], [1788, 0], [0, -62364], [130295, 0], [0, -116346], [90074, 0], [0, 14438], [-35730, 0], [0, 77893], [0, 86259], [-44984, 0], [-78624, 0], [51378, 0], [0, -1449], [0, -67620], [89337, 0], [0, -126470], [-93450, 0], [71579, 0], [0, 114447], [-139203, 0], [0, -99034], [0, 57814], [0, -121149], [93283, 0]], 'char_orbit_index': 3, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 4503737133434182, '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.b', '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: 717258
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1350.4.c.b', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '54.4.a.b', 'target_level': 54, 'twist_class_label': '54.4.a.b', 'twist_class_level': 54, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 717259
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1350.4.c.b', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '54.4.a.c', 'target_level': 54, 'twist_class_label': '54.4.a.b', 'twist_class_level': 54, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 717260
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1350.4.c.b', 'source_level': 1350, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '162.4.c.b', 'target_level': 162, 'twist_class_label': '54.4.a.b', 'twist_class_level': 54, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 717261
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1350.4.c.b', 'source_level': 1350, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '162.4.c.g', 'target_level': 162, 'twist_class_label': '54.4.a.b', 'twist_class_level': 54, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 717262
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1350.4.c.b', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '432.4.a.e', 'target_level': 432, 'twist_class_label': '54.4.a.b', 'twist_class_level': 54, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 717263
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1350.4.c.b', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '432.4.a.j', 'target_level': 432, 'twist_class_label': '54.4.a.b', 'twist_class_level': 54, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 717264
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1350.4.c.b', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1350.4.a.a', 'target_level': 1350, 'twist_class_label': '54.4.a.b', 'twist_class_level': 54, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 717265
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1350.4.c.b', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '1350.4.a.o', 'target_level': 1350, 'twist_class_label': '54.4.a.b', 'twist_class_level': 54, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 717266
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1350.4.c.b', 'source_level': 1350, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1350.4.c.b', 'target_level': 1350, 'twist_class_label': '54.4.a.b', 'twist_class_level': 54, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 717267
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1350.4.c.b', 'source_level': 1350, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1350.4.c.b', 'target_level': 1350, 'twist_class_label': '54.4.a.b', 'twist_class_level': 54, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 717268
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1350.4.c.b', 'source_level': 1350, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '1350.4.c.s', 'target_level': 1350, 'twist_class_label': '54.4.a.b', 'twist_class_level': 54, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 717269
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1350.4.c.b', 'source_level': 1350, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '1350.4.c.s', 'target_level': 1350, 'twist_class_label': '54.4.a.b', 'twist_class_level': 54, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 717270
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1350.4.c.b', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1728.4.a.k', 'target_level': 1728, 'twist_class_label': '54.4.a.b', 'twist_class_level': 54, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 717271
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1350.4.c.b', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1728.4.a.l', 'target_level': 1728, 'twist_class_label': '54.4.a.b', 'twist_class_level': 54, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 717272
{'conductor': 120, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1350.4.c.b', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '1728.4.a.u', 'target_level': 1728, 'twist_class_label': '54.4.a.b', 'twist_class_level': 54, 'twisting_char_label': '120.q', 'twisting_char_orbit': 17, 'weight': 4}
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id: 717273
{'conductor': 120, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1350.4.c.b', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '1728.4.a.v', 'target_level': 1728, 'twist_class_label': '54.4.a.b', 'twist_class_level': 54, 'twisting_char_label': '120.w', 'twisting_char_orbit': 23, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1888775
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 4503737133434182, 'p': 2}
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id: 1888776
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503737133434182, 'p': 3}
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id: 1888777
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503737133434182, 'p': 5}
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id: 1888778
{'charpoly_factorization': [[[841, 0, 1], 1]], 'hecke_orbit_code': 4503737133434182, 'p': 7}
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id: 1888779
{'charpoly_factorization': [[[57, 1], 2]], 'hecke_orbit_code': 4503737133434182, 'p': 11}
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id: 1888780
{'charpoly_factorization': [[[400, 0, 1], 1]], 'hecke_orbit_code': 4503737133434182, 'p': 13}
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id: 1888781
{'charpoly_factorization': [[[5184, 0, 1], 1]], 'hecke_orbit_code': 4503737133434182, 'p': 17}
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id: 1888782
{'charpoly_factorization': [[[-106, 1], 2]], 'hecke_orbit_code': 4503737133434182, 'p': 19}
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id: 1888783
{'charpoly_factorization': [[[30276, 0, 1], 1]], 'hecke_orbit_code': 4503737133434182, 'p': 23}
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id: 1888784
{'charpoly_factorization': [[[-210, 1], 2]], 'hecke_orbit_code': 4503737133434182, 'p': 29}
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id: 1888785
{'charpoly_factorization': [[[-47, 1], 2]], 'hecke_orbit_code': 4503737133434182, 'p': 31}
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id: 1888786
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 4503737133434182, 'p': 37}
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id: 1888787
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 4503737133434182, 'p': 41}
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id: 1888788
{'charpoly_factorization': [[[47524, 0, 1], 1]], 'hecke_orbit_code': 4503737133434182, 'p': 43}
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id: 1888789
{'charpoly_factorization': [[[224676, 0, 1], 1]], 'hecke_orbit_code': 4503737133434182, 'p': 47}
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id: 1888790
{'charpoly_factorization': [[[6561, 0, 1], 1]], 'hecke_orbit_code': 4503737133434182, 'p': 53}
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id: 1888791
{'charpoly_factorization': [[[84, 1], 2]], 'hecke_orbit_code': 4503737133434182, 'p': 59}
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id: 1888792
{'charpoly_factorization': [[[-56, 1], 2]], 'hecke_orbit_code': 4503737133434182, 'p': 61}
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id: 1888793
{'charpoly_factorization': [[[20164, 0, 1], 1]], 'hecke_orbit_code': 4503737133434182, 'p': 67}
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id: 1888794
{'charpoly_factorization': [[[-360, 1], 2]], 'hecke_orbit_code': 4503737133434182, 'p': 71}
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id: 1888795
{'charpoly_factorization': [[[1343281, 0, 1], 1]], 'hecke_orbit_code': 4503737133434182, 'p': 73}
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id: 1888796
{'charpoly_factorization': [[[-160, 1], 2]], 'hecke_orbit_code': 4503737133434182, 'p': 79}
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id: 1888797
{'charpoly_factorization': [[[540225, 0, 1], 1]], 'hecke_orbit_code': 4503737133434182, 'p': 83}
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id: 1888798
{'charpoly_factorization': [[[-954, 1], 2]], 'hecke_orbit_code': 4503737133434182, 'p': 89}
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id: 1888799
{'charpoly_factorization': [[[36481, 0, 1], 1]], 'hecke_orbit_code': 4503737133434182, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 2, 'label': '1350.4.c.b', 'level': 1350, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 21191065
{'hecke_orbit_code': 4503737133434182, 'n': 1, 'trace_an': 2}
-
id: 21191066
{'hecke_orbit_code': 4503737133434182, 'n': 2, 'trace_an': 0}
-
id: 21191067
{'hecke_orbit_code': 4503737133434182, 'n': 3, 'trace_an': 0}
-
id: 21191068
{'hecke_orbit_code': 4503737133434182, 'n': 4, 'trace_an': -8}
-
id: 21191069
{'hecke_orbit_code': 4503737133434182, 'n': 5, 'trace_an': 0}
-
id: 21191070
{'hecke_orbit_code': 4503737133434182, 'n': 6, 'trace_an': 0}
-
id: 21191071
{'hecke_orbit_code': 4503737133434182, 'n': 7, 'trace_an': 0}
-
id: 21191072
{'hecke_orbit_code': 4503737133434182, 'n': 8, 'trace_an': 0}
-
id: 21191073
{'hecke_orbit_code': 4503737133434182, 'n': 9, 'trace_an': 0}
-
id: 21191074
{'hecke_orbit_code': 4503737133434182, 'n': 10, 'trace_an': 0}
-
id: 21191075
{'hecke_orbit_code': 4503737133434182, 'n': 11, 'trace_an': -114}
-
id: 21191076
{'hecke_orbit_code': 4503737133434182, 'n': 12, 'trace_an': 0}
-
id: 21191077
{'hecke_orbit_code': 4503737133434182, 'n': 13, 'trace_an': 0}
-
id: 21191078
{'hecke_orbit_code': 4503737133434182, 'n': 14, 'trace_an': -116}
-
id: 21191079
{'hecke_orbit_code': 4503737133434182, 'n': 15, 'trace_an': 0}
-
id: 21191080
{'hecke_orbit_code': 4503737133434182, 'n': 16, 'trace_an': 32}
-
id: 21191081
{'hecke_orbit_code': 4503737133434182, 'n': 17, 'trace_an': 0}
-
id: 21191082
{'hecke_orbit_code': 4503737133434182, 'n': 18, 'trace_an': 0}
-
id: 21191083
{'hecke_orbit_code': 4503737133434182, 'n': 19, 'trace_an': 212}
-
id: 21191084
{'hecke_orbit_code': 4503737133434182, 'n': 20, 'trace_an': 0}
-
id: 21191085
{'hecke_orbit_code': 4503737133434182, 'n': 21, 'trace_an': 0}
-
id: 21191086
{'hecke_orbit_code': 4503737133434182, 'n': 22, 'trace_an': 0}
-
id: 21191087
{'hecke_orbit_code': 4503737133434182, 'n': 23, 'trace_an': 0}
-
id: 21191088
{'hecke_orbit_code': 4503737133434182, 'n': 24, 'trace_an': 0}
-
id: 21191089
{'hecke_orbit_code': 4503737133434182, 'n': 25, 'trace_an': 0}
-
id: 21191090
{'hecke_orbit_code': 4503737133434182, 'n': 26, 'trace_an': 80}
-
id: 21191091
{'hecke_orbit_code': 4503737133434182, 'n': 27, 'trace_an': 0}
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