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{'Nk2': 19200, 'analytic_conductor': 70.80229200688873, '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': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1200, 1, [751, 901, 401, 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, [-4, 1]], [11, [-28, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49539595968185520, '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': '1200.4.a.l', 'level': 1200, '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': '120.4.f.c', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-3q^{3}+4q^{7}+9q^{9}+28q^{11}+2^{4}q^{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': '1200.4.a', 'trace_display': [0, -3, 0, 4], 'trace_hash': 41007169705618630, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.974', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1], [0], [-3], [0], [0], [0], [4], [0], [9], [0], [28], [0], [16], [0], [0], [0], [-108], [0], [-32], [0], [-12], [0], [-28], [0], [0], [0], [-27], [0], [-238], [0], [180], [0], [-84], [0], [0], [0], [40], [0], [-48], [0], [422], [0], [276], [0], [0], [0], [60], [0], [-327], [0], [324], [0], [-220], [0], [0], [0], [96], [0], [804], [0], [-358], [0], [36], [0], [0], [0], [-884], [0], [84], [0], [64], [0], [152], [0], [0], [0], [112], [0], [932], [0], [81], [0], [-1292], [0], [0], [0], [714], [0], [-1146], [0], [64], [0], [-540], [0], [0], [0], [-824], [0], [252], [0]], 'ap': [[0], [-3], [0], [4], [28], [16], [-108], [-32], [-28], [-238], [180], [40], [422], [276], [60], [-220], [804], [-358], [-884], [64], [152], [932], [-1292], [-1146], [-824], [-1290], [-1604], [892], [966], [-1124], [-1884], [588], [-1060], [2864], [342], [-1636], [2072], [772], [-1044], [-4404], [-3452], [526], [-72], [-208], [-372], [-4348], [416], [-5748], [1148], [3234], [228], [-4760], [3230], [-1708], [-6372], [-3036], [-114], [5236], [5712], [3222], [-4620], [5404], [-9700], [-9672], [-4048], [84], [-5416], [8216], [3836], [-2038], [-5292], [3896], [7652], [1576], [5416], [8292], [-9642], [13032], [-13358], [6410], [-7644], [14674], [9704], [-1296], [15684], [-5772], [-4782], [-15000], [-3762], [5036], [2268], [-16208], [11572], [-5636], [5560], [15172], [-17342], [-4886], [18548], [-15770], [-7700], [19236], [8388], [-16758], [-8056], [-5728], [12172], [-10708], [9416], [9270], [-7996], [232], [-3740], [26000], [-11660], [-7602], [29268], [17836], [19188], [-13860], [-16558], [4640], [34260], [-19420], [-4608], [-2318], [16834], [7400], [20340], [-4896], [-26040], [-6780], [20692], [10816], [13978], [2926], [-13916], [29996], [8940], [-10698], [6408], [23130], [11852], [-32628], [36694], [1704], [-31880], [7972], [6008], [1716], [9032], [27838], [-4316], [-43524], [10556], [47472], [-11964], [-15214], [-39712], [-36034], [-2532], [-55284], [4372], [-24300], [-46204], [-25468], [-11668], [7224], [-40450], [30924], [-15980], [-618], [8160], [-3032], [27892], [57190], [61008], [-49450], [8428], [2262], [6836], [-24108], [-24432], [-372], [-41388], [32650], [-25888], [-13996], [4474], [21672], [-50440], [-8604], [-37840], [30546], [11484], [-9076], [-57074], [-31664], [1964], [59252], [-43326], [-30100], [65984], [41710], [63068], [-29812], [15404], [30004], [-28906], [1472], [24448], [45450], [81452], [4940], [57616], [-59978], [-64604], [-25390], [89516], [78452], [54386], [-81772], [16734], [-9828], [54476], [10574], [1356], [44056], [-101756], [7860], [109888], [107976], [-59004], [75014], [-1532], [96204], [-31486], [924], [-62036], [56016], [35860], [6760], [63388], [33146], [79620], [14000], [-76444], [-32604], [-44040], [115892], [-106944], [-41214], [-7764], [97546], [-97484], [31692], [29294], [-75044], [-28220], [60576], [2300], [-60500], [-13022], [-39160], [84684], [-17112], [94946], [75290], [57300], [33732], [-85082], [105292], [76696], [55364], [54024], [-5428], [-33236], [-10614], [-64554], [-104564], [-62492], [-10060], [11612], [-37298], [5228], [-43800], [20840], [-87804], [-71956], [-48494], [-92270], [118172], [112148], [-135612], [132072], [94254], [148492], [127308], [-48308], [32684], [22976], [-48988], [-107876], [-101436], [129952], [114744], [-99732], [-25814], [109824], [-166904], [-131292], [-24246], [48226], [170740], [-129172], [-117738], [112212], [156256], [-91512], [-25630], [-118216], [41536], [114962], [-148692], [24676], [-71122], [-82888], [-170748], [-120724], [-87508], [47194], [123892], [111548], [119492], [119952], [146060], [6310], [145796], [-29946], [127764], [-173128], [-7228], [-132314], [118196], [33636], [-148980], [-163982], [107436], [129264], [-170084], [148280], [-187048], [4482], [-19092], [-12574], [-108476], [95504], [-20588], [161564], [36100], [-157880], [-143670], [-206084], [75900], [-82868], [17392], [-154620], [114892], [-5962], [2604], [179288], [-242412], [218630], [-170308], [7024], [-207380], [103776], [-143600], [2434], [48280], [-40866], [-211588], [25972], [60020], [-130760], [64020], [-84828], [-266320], [47044], [-6660], [-35118], [182772], [-229468], [-3428], [13744], [-97768], [-256252], [82326], [-275328], [-20774], [245862], [-152164], [-21948], [88396], [-102858], [85444], [-236864], [-64078], [-172], [-120988], [253856], [136284], [-66828], [196816], [-210232], [117886], [-127056], [176500], [-224308], [-166316], [-212818], [-112376], [26508], [-130380], [44448], [32892], [194900], [220202], [-132896], [-202376]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 49539595968185520, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '1200.4.a.l', 'level': 1200, 'maxp': 2999, 'weight': 4}
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mf_newspaces • Show schema
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{'ALdims': [8, 7, 5, 9, 7, 7, 7, 7], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [9, 9, 9, 9, 9, 9, 9, 9], 'ALdims_old': [79, 77, 79, 78, 77, 80, 80, 77], 'Nk2': 19200, 'analytic_conductor': 70.80229200688873, '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': [1200, 1, [751, 901, 401, 577], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 684, 'dim': 57, 'eis_dim': 72, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 67110064, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'label': '1200.4.a', 'level': 1200, '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': 756, 'mf_new_dim': 57, 'num_forms': 47, 'plus_dim': 31, 'prim_orbit_index': 1, 'relative_dim': 57, 'sturm_bound': 960, 'trace_bound': 11, 'trace_display': [0, -3, 0, 32], 'traces': [57, 0, -3, 0, 0, 0, 32, 0, 513, 0, -20, 0, 46, 0, 0, 0, 26, 0, 192, 0, 0, 0, -80, 0, 0, 0, -27, 0, -58, 0, -84, 0, 12, 0, 0, 0, -74, 0, 54, 0, -414, 0, -836, 0, 0, 0, -168, 0, 2713, 0, 678, 0, 1054, 0, 0, 0, -84, 0, -628, 0, 734, 0, 288, 0, 0, 0, 1140, 0, 264, 0, -1512, 0, 970, 0, 0, 0, 768, 0, -880, 0, 4617, 0, -3644, 0, 0, 0, -162, 0, 1426, 0, 2468, 0, -456, 0, 0, 0, 802, 0, -180, 0, 2150, 0, 3808, 0, 0, 0, 3468, 0, 3142, 0, -30, 0, -2470, 0, 0, 0, 414, 0, 2392, 0, 6309, 0, -990, 0, 0, 0, -1448, 0, 36, 0, 8636, 0, 2336, 0, 0, 0, -3886, 0, 6140, 0, -624, 0, 11496, 0, 0, 0, -219, 0, 3606, 0, -10132, 0, 234, 0, 0, 0, 4526, 0, -102, 0, 3424, 0, -10828, 0, 0, 0, -3680, 0, 12391, 0, 1728, 0, -1450, 0, 0, 0, 540, 0, 9668, 0, -5538, 0, 4062, 0, 0, 0, 3704, 0, 0, 0, -3912, 0, -14, 0, 0, 0, 366, 0, 9740, 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mf_twists_nf • Show schema
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id: 673444
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1200.4.a.l', 'source_level': 1200, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '120.4.f.c', 'target_level': 120, 'twist_class_label': '120.4.f.c', 'twist_class_level': 120, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 673445
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1200.4.a.l', 'source_level': 1200, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '240.4.f.e', 'target_level': 240, 'twist_class_label': '120.4.f.c', 'twist_class_level': 120, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 673446
{'conductor': 60, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1200.4.a.l', 'source_level': 1200, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '360.4.f.a', 'target_level': 360, 'twist_class_label': '120.4.f.c', 'twist_class_level': 120, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 673447
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1200.4.a.l', 'source_level': 1200, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '600.4.a.f', 'target_level': 600, 'twist_class_label': '120.4.f.c', 'twist_class_level': 120, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 673448
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1200.4.a.l', 'source_level': 1200, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '600.4.a.k', 'target_level': 600, 'twist_class_label': '120.4.f.c', 'twist_class_level': 120, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 673449
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1200.4.a.l', 'source_level': 1200, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '720.4.f.b', 'target_level': 720, 'twist_class_label': '120.4.f.c', 'twist_class_level': 120, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 673450
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1200.4.a.l', 'source_level': 1200, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '960.4.f.a', 'target_level': 960, 'twist_class_label': '120.4.f.c', 'twist_class_level': 120, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 673451
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1200.4.a.l', 'source_level': 1200, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '960.4.f.b', 'target_level': 960, 'twist_class_label': '120.4.f.c', 'twist_class_level': 120, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 673452
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1200.4.a.l', 'source_level': 1200, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1200.4.a.l', 'target_level': 1200, 'twist_class_label': '120.4.f.c', 'twist_class_level': 120, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 673453
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1200.4.a.l', 'source_level': 1200, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '1200.4.a.z', 'target_level': 1200, 'twist_class_label': '120.4.f.c', 'twist_class_level': 120, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 673454
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1200.4.a.l', 'source_level': 1200, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '1800.4.a.o', 'target_level': 1800, 'twist_class_label': '120.4.f.c', 'twist_class_level': 120, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 673455
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1200.4.a.l', 'source_level': 1200, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '1800.4.a.u', 'target_level': 1800, 'twist_class_label': '120.4.f.c', 'twist_class_level': 120, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1764025
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595968185520, 'p': 2}
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id: 1764026
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 49539595968185520, 'p': 3}
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id: 1764027
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595968185520, 'p': 5}
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id: 1764028
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 49539595968185520, 'p': 7}
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id: 1764029
{'charpoly_factorization': [[[-28, 1], 1]], 'hecke_orbit_code': 49539595968185520, 'p': 11}
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id: 1764030
{'charpoly_factorization': [[[-16, 1], 1]], 'hecke_orbit_code': 49539595968185520, 'p': 13}
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id: 1764031
{'charpoly_factorization': [[[108, 1], 1]], 'hecke_orbit_code': 49539595968185520, 'p': 17}
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id: 1764032
{'charpoly_factorization': [[[32, 1], 1]], 'hecke_orbit_code': 49539595968185520, 'p': 19}
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id: 1764033
{'charpoly_factorization': [[[28, 1], 1]], 'hecke_orbit_code': 49539595968185520, 'p': 23}
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id: 1764034
{'charpoly_factorization': [[[238, 1], 1]], 'hecke_orbit_code': 49539595968185520, 'p': 29}
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id: 1764035
{'charpoly_factorization': [[[-180, 1], 1]], 'hecke_orbit_code': 49539595968185520, 'p': 31}
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id: 1764036
{'charpoly_factorization': [[[-40, 1], 1]], 'hecke_orbit_code': 49539595968185520, 'p': 37}
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id: 1764037
{'charpoly_factorization': [[[-422, 1], 1]], 'hecke_orbit_code': 49539595968185520, 'p': 41}
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id: 1764038
{'charpoly_factorization': [[[-276, 1], 1]], 'hecke_orbit_code': 49539595968185520, 'p': 43}
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id: 1764039
{'charpoly_factorization': [[[-60, 1], 1]], 'hecke_orbit_code': 49539595968185520, 'p': 47}
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id: 1764040
{'charpoly_factorization': [[[220, 1], 1]], 'hecke_orbit_code': 49539595968185520, 'p': 53}
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id: 1764041
{'charpoly_factorization': [[[-804, 1], 1]], 'hecke_orbit_code': 49539595968185520, 'p': 59}
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id: 1764042
{'charpoly_factorization': [[[358, 1], 1]], 'hecke_orbit_code': 49539595968185520, 'p': 61}
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id: 1764043
{'charpoly_factorization': [[[884, 1], 1]], 'hecke_orbit_code': 49539595968185520, 'p': 67}
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id: 1764044
{'charpoly_factorization': [[[-64, 1], 1]], 'hecke_orbit_code': 49539595968185520, 'p': 71}
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id: 1764045
{'charpoly_factorization': [[[-152, 1], 1]], 'hecke_orbit_code': 49539595968185520, 'p': 73}
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id: 1764046
{'charpoly_factorization': [[[-932, 1], 1]], 'hecke_orbit_code': 49539595968185520, 'p': 79}
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id: 1764047
{'charpoly_factorization': [[[1292, 1], 1]], 'hecke_orbit_code': 49539595968185520, 'p': 83}
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id: 1764048
{'charpoly_factorization': [[[1146, 1], 1]], 'hecke_orbit_code': 49539595968185520, 'p': 89}
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id: 1764049
{'charpoly_factorization': [[[824, 1], 1]], 'hecke_orbit_code': 49539595968185520, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 12, 'label': '1200.4.a.l', 'level': 1200, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 56634589
{'hecke_orbit_code': 49539595968185520, 'n': 1, 'trace_an': 1}
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id: 56634590
{'hecke_orbit_code': 49539595968185520, 'n': 2, 'trace_an': 0}
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id: 56634591
{'hecke_orbit_code': 49539595968185520, 'n': 3, 'trace_an': -3}
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id: 56634592
{'hecke_orbit_code': 49539595968185520, 'n': 4, 'trace_an': 0}
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id: 56634593
{'hecke_orbit_code': 49539595968185520, 'n': 5, 'trace_an': 0}
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id: 56634594
{'hecke_orbit_code': 49539595968185520, 'n': 6, 'trace_an': 0}
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id: 56634595
{'hecke_orbit_code': 49539595968185520, 'n': 7, 'trace_an': 4}
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id: 56634596
{'hecke_orbit_code': 49539595968185520, 'n': 8, 'trace_an': 0}
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id: 56634597
{'hecke_orbit_code': 49539595968185520, 'n': 9, 'trace_an': 9}
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id: 56634598
{'hecke_orbit_code': 49539595968185520, 'n': 10, 'trace_an': 0}
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id: 56634599
{'hecke_orbit_code': 49539595968185520, 'n': 11, 'trace_an': 28}
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id: 56634600
{'hecke_orbit_code': 49539595968185520, 'n': 12, 'trace_an': 0}
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id: 56634601
{'hecke_orbit_code': 49539595968185520, 'n': 13, 'trace_an': 16}
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