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{'Nk2': 40000, 'analytic_conductor': 147.50477501435154, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -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': [2500, 1, [1251, 1877], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 14, 'field_disc': 803686744990499147666279976242197265625, 'field_disc_factorization': [[3, 2], [5, 10], [349, 1], [51666781422371, 1], [507116122242991, 1]], 'field_poly': [-43494224, -405237652, 546613815, 63905452, -195412686, 929710, 20874680, -50130, -974680, -6820, 22134, 242, -240, -2, 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': [[3, [-43494224, 405237652, 546613815, -63905452, -195412686, -929710, 20874680, 50130, -974680, 6820, 22134, -242, -240, 2, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199321852356, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 8000, 'hecke_ring_index_factorization': [[2, 6], [5, 3]], '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': '2500.4.a.c', 'level': 2500, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'minimal_twist': '100.4.g.a', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{3}+(1-\\beta _{2}+\\beta _{3})q^{7}+(9+\\beta _{1}+\\cdots)q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 14, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2500.4.a', 'trace_display': [0, -2, 0, 8], 'trace_hash': 146766740894522527, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.922', 'prec': 20}, {'__RealLiteral__': 0, 'data': '3.098', 'prec': 17}, {'__RealLiteral__': 0, 'data': '393.794', 'prec': 24}, {'__RealLiteral__': 0, 'data': '567.243', 'prec': 24}, {'__RealLiteral__': 0, 'data': '20220.361', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.002', 'prec': 17}, 'traces': [14, 0, -2, 0, 0, 0, 8, 0, 106, 0, -30, 0, 77, 0, 0, 0, 111, 0, -64, 0, -156, 0, -24, 0, 0, 0, -614, 0, -359, 0, -156, 0, -390, 0, 0, 0, -307, 0, -314, 0, -791, 0, -90, 0, 0, 0, 276, 0, 72, 0, -832, 0, -451, 0, 0, 0, 192, 0, -808, 0, -1017, 0, 2082, 0, 0, 0, 1678, 0, -1502, 0, -148, 0, -223, 0, 0, 0, -1210, 0, -92, 0, -414, 0, -474, 0, 0, 0, 4262, 0, -2111, 0, -794, 0, -2832, 0, 0, 0, 353, 0, -1050, 0, -2341, 0, 554, 0, 0, 0, -4364, 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mf_hecke_cc • Show schema
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-0.3914124727988107, -0.1767617470455138, -0.11266194806348592, -0.17233051802566612, -0.12133565240554287, -0.34104757492991794, -0.38347714405465205], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 2, 'dual_embedding_m': 2, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 0.0, 'embedding_root_real': 8.604955148035712, 'hecke_orbit': 3, 'hecke_orbit_code': 9007199321852356, 'label': '2500.4.a.c.1.2', 'level': 2500, 'weight': 4}
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mf_newspaces • Show schema
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{'ALdims': [0, 0, 58, 62], 'Nk2': 40000, 'analytic_conductor': 147.50477501435154, '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': [2500, 1, [1251, 1877], [1, 1]], 'conrey_index': 1, 'cusp_dim': 1080, 'dim': 120, 'eis_dim': 90, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 67111364, 'hecke_orbit_dims': [10, 10, 14, 14, 20, 20, 32], 'label': '2500.4.a', 'level': 2500, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'mf_dim': 1170, 'mf_new_dim': 120, 'num_forms': 7, 'plus_dim': 62, 'prim_orbit_index': 1, 'relative_dim': 120, 'sturm_bound': 1500, 'trace_bound': 3, 'trace_display': [0, 0, 0, 0], 'traces': [120, 0, 0, 0, 0, 0, 0, 0, 1080, 0, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 120, 0, 0, 0, 0, 0, 0, 0, 130, 0, -180, 0, 0, 0, 0, 0, 0, 0, -420, 0, -230, 0, 0, 0, 0, 0, 0, 0, 5160, 0, -1410, 0, 0, 0, 0, 0, 0, 0, -690, 0, -1910, 0, 0, 0, 0, 0, 0, 0, -1360, 0, -1240, 0, 0, 0, 0, 0, 0, 0, -1260, 0, 9080, 0, 0, 0, 0, 0, 0, 0, -1830, 0, -2520, 0, 0, 0, 0, 0, 0, 0, 3350, 0, 970, 0, 0, 0, 0, 0, 0, 0, -1790, 0, 1820, 0, 0, 0, 0, 0, 0, 0, -2360, 0, 12280, 0, 0, 0, 0, 0, 0, 0, 1400, 0, 4150, 0, 0, 0, 0, 0, 0, 0, 1180, 0, 6040, 0, 0, 0, 0, 0, 0, 0, -1030, 0, 2100, 0, 0, 0, 0, 0, 0, 0, 8960, 0, 840, 0, 0, 0, 0, 0, 0, 0, 22930, 0, 15870, 0, 0, 0, 0, 0, 0, 0, 5240, 0, 3850, 0, 0, 0, 0, 0, 0, 0, 1640, 0, 1960, 0, 0, 0, 0, 0, 0, 0, 3240, 0, -4630, 0, 0, 0, 0, 0, 0, 0, -2150, 0, 1680, 0, 0, 0, 0, 0, 0, 0, 12130, 0, -16740, 0, 0, 0, 0, 0, 0, 0, 8770, 0, -11000, 0, 0, 0, 0, 0, 0, 0, -6320, 0, 6930, 0, 0, 0, 0, 0, 0, 0, -6710, 0, 25000, 0, 0, 0, 0, 0, 0, 0, -2180, 0, 2170, 0, 0, 0, 0, 0, 0, 0, -8310, 0, 9600, 0, 0, 0, 0, 0, 0, 0, 15280, 0, 820, 0, 0, 0, 0, 0, 0, 0, 42570, 0, 1020, 0, 0, 0, 0, 0, 0, 0, 9460, 0, -6500, 0, 0, 0, 0, 0, 0, 0, 9660, 0, 10940, 0, 0, 0, 0, 0, 0, 0, -27000, 0, -26110, 0, 0, 0, 0, 0, 0, 0, -4060, 0, 2860, 0, 0, 0, 0, 0, 0, 0, 17510, 0, -100, 0, 0, 0, 0, 0, 0, 0, -21650, 0, 19760, 0, 0, 0, 0, 0, 0, 0, 37820, 0, 12540, 0, 0, 0, 0, 0, 0, 0, -23220, 0, -26240, 0, 0, 0, 0, 0, 0, 0, -20340, 0, -46780, 0, 0, 0, 0, 0, 0, 0, -34130, 0, 9880, 0, 0, 0, 0, 0, 0, 0, 6280, 0, 13250, 0, 0, 0, 0, 0, 0, 0, -20270, 0, 35630, 0, 0, 0, 0, 0, 0, 0, -4020, 0, -4530, 0, 0, 0, 0, 0, 0, 0, -32600, 0, 20020, 0, 0, 0, 0, 0, 0, 0, -30360, 0, -27360, 0, 0, 0, 0, 0, 0, 0, -70, 0, -45450, 0, 0, 0, 0, 0, 0, 0, -23870, 0, -20950, 0, 0, 0, 0, 0, 0, 0, 66720, 0, 41880, 0, 0, 0, 0, 0, 0, 0, 5380, 0, 12580, 0, 0, 0, 0, 0, 0, 0, 64850, 0, 85250, 0, 0, 0, 0, 0, 0, 0, 38530, 0, 30680, 0, 0, 0, 0, 0, 0, 0, -4470, 0, -15920, 0, 0, 0, 0, 0, 0, 0, 34060, 0, 62230, 0, 0, 0, 0, 0, 0, 0, 119640, 0, 31390, 0, 0, 0, 0, 0, 0, 0, 50700, 0, 39730, 0, 0, 0, 0, 0, 0, 0, -23590, 0, -21480, 0, 0, 0, 0, 0, 0, 0, 36000, 0, 127450, 0, 0, 0, 0, 0, 0, 0, -22950, 0, -46690, 0, 0, 0, 0, 0, 0, 0, 78390, 0, 40940, 0, 0, 0, 0, 0, 0, 0, -26020, 0, 180, 0, 0, 0, 0, 0, 0, 0, -34300, 0, 11650, 0, 0, 0, 0, 0, 0, 0, 13280, 0, -73740, 0, 0, 0, 0, 0, 0, 0, -48050, 0, 20080, 0, 0, 0, 0, 0, 0, 0, -126910, 0, -102060, 0, 0, 0, 0, 0, 0, 0, -33160, 0, -68910, 0, 0, 0, 0, 0, 0, 0, -900, 0, 112320, 0, 0, 0, 0, 0, 0, 0, 53780, 0, -88940, 0, 0, 0, 0, 0, 0, 0, 82600, 0, 74600, 0, 0, 0, 0, 0, 0, 0, -139480, 0, 159040, 0, 0, 0, 0, 0, 0, 0, -66310, 0, -129140, 0, 0, 0, 0, 0, 0, 0, 145260, 0, -93550, 0, 0, 0, 0, 0, 0, 0, -112470, 0, -15740, 0, 0, 0, 0, 0, 0, 0, 39980, 0, -104440, 0, 0, 0, 0, 0, 0, 0, 187290, 0, -23700, 0, 0, 0, 0, 0, 0, 0, 10250, 0, 100620, 0, 0, 0, 0, 0, 0, 0, 86840, 0, 84620, 0, 0, 0, 0, 0, 0, 0, 28400, 0, 25290, 0, 0, 0, 0, 0, 0, 0, -17440, 0, 178440, 0, 0, 0, 0, 0, 0, 0, 43530, 0, 67200, 0, 0, 0, 0, 0, 0, 0, 145280, 0, -124740, 0, 0, 0, 0, 0, 0, 0, 47380, 0, -155020, 0, 0, 0, 0, 0, 0, 0, 9320, 0, 28530, 0, 0, 0, 0, 0, 0, 0, -92080, 0, -90480, 0, 0, 0, 0, 0, 0, 0, -107490, 0, -740, 0, 0, 0, 0, 0, 0, 0, -82040, 0, 41490, 0, 0, 0, 0, 0, 0, 0, -208790, 0, 7740, 0, 0, 0, 0, 0, 0, 0, 147380, 0, -224280, 0, 0, 0, 0, 0, 0, 0, 6400, 0, -51720, 0, 0, 0, 0, 0, 0, 0, -81700, 0, -19710, 0, 0, 0, 0, 0, 0, 0, -256080, 0, 170600, 0, 0, 0, 0, 0, 0, 0, -46420, 0, 54320, 0, 0, 0, 0, 0, 0, 0, 18330, 0, 67140, 0, 0, 0, 0, 0, 0, 0, 92520, 0, 219970, 0, 0, 0, 0, 0, 0, 0, -59360, 0, 53940, 0, 0, 0, 0, 0, 0, 0, 72720, 0, -162210, 0, 0, 0, 0, 0, 0, 0, 160170, 0, -269460, 0, 0, 0, 0, 0, 0, 0, -241020, 0, 126900, 0, 0, 0, 0, 0, 0, 0, 17810, 0, -130280, 0, 0, 0, 0, 0, 0, 0, 850, 0, -215710, 0, 0, 0, 0, 0, 0, 0, -39100, 0, 4520, 0, 0, 0, 0, 0, 0, 0, -105260, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 40490850
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 14, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007199321852356, 'source_is_minimal': False, 'source_label': '2500.4.a.c.1.2', 'source_level': 2500, 'target_conrey_index': 1, 'target_dim': 14, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007199321852356, 'target_is_minimal': False, 'target_label': '2500.4.a.c.1.2', 'target_level': 2500, 'twist_class_label': '100.4.g.a.41.1', 'twist_class_level': 100, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 40490851
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 14, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007199321852356, 'source_is_minimal': False, 'source_label': '2500.4.a.c.1.2', 'source_level': 2500, 'target_conrey_index': 1, 'target_dim': 14, 'target_embedding_index': 13, 'target_hecke_orbit_code': 13510798949222852, 'target_is_minimal': False, 'target_label': '2500.4.a.d.1.13', 'target_level': 2500, 'twist_class_label': '100.4.g.a.41.1', 'twist_class_level': 100, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 40490852
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 14, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007199321852356, 'source_is_minimal': False, 'source_label': '2500.4.a.c.1.2', 'source_level': 2500, 'target_conrey_index': 49, 'target_dim': 56, 'target_embedding_index': 14, 'target_hecke_orbit_code': 4504149450293748, 'target_is_minimal': False, 'target_label': '500.4.i.b.49.14', 'target_level': 500, 'twist_class_label': '100.4.g.a.41.1', 'twist_class_level': 100, 'twisting_char_label': '25.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 40490853
{'conductor': 25, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 14, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007199321852356, 'source_is_minimal': False, 'source_label': '2500.4.a.c.1.2', 'source_level': 2500, 'target_conrey_index': 201, 'target_dim': 28, 'target_embedding_index': 7, 'target_hecke_orbit_code': 412383969780, 'target_is_minimal': False, 'target_label': '500.4.g.a.201.7', 'target_level': 500, 'twist_class_label': '100.4.g.a.41.1', 'twist_class_level': 100, 'twisting_char_label': '25.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 40490854
{'conductor': 25, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 14, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007199321852356, 'source_is_minimal': False, 'source_label': '2500.4.a.c.1.2', 'source_level': 2500, 'target_conrey_index': 61, 'target_dim': 28, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412383969380, 'target_is_minimal': True, 'target_label': '100.4.g.a.61.1', 'target_level': 100, 'twist_class_label': '100.4.g.a.41.1', 'twist_class_level': 100, 'twisting_char_label': '25.6', 'twisting_conrey_index': 6, 'weight': 4}
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id: 40490855
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 14, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007199321852356, 'source_is_minimal': False, 'source_label': '2500.4.a.c.1.2', 'source_level': 2500, 'target_conrey_index': 449, 'target_dim': 56, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149450293748, 'target_is_minimal': False, 'target_label': '500.4.i.b.449.1', 'target_level': 500, 'twist_class_label': '100.4.g.a.41.1', 'twist_class_level': 100, 'twisting_char_label': '25.8', 'twisting_conrey_index': 8, 'weight': 4}
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id: 40490856
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 14, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007199321852356, 'source_is_minimal': False, 'source_label': '2500.4.a.c.1.2', 'source_level': 2500, 'target_conrey_index': 449, 'target_dim': 56, 'target_embedding_index': 14, 'target_hecke_orbit_code': 4504149450293748, 'target_is_minimal': False, 'target_label': '500.4.i.b.449.14', 'target_level': 500, 'twist_class_label': '100.4.g.a.41.1', 'twist_class_level': 100, 'twisting_char_label': '25.17', 'twisting_conrey_index': 17, 'weight': 4}
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id: 40490857
{'conductor': 25, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 14, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007199321852356, 'source_is_minimal': False, 'source_label': '2500.4.a.c.1.2', 'source_level': 2500, 'target_conrey_index': 301, 'target_dim': 28, 'target_embedding_index': 7, 'target_hecke_orbit_code': 412383969780, 'target_is_minimal': False, 'target_label': '500.4.g.a.301.7', 'target_level': 500, 'twist_class_label': '100.4.g.a.41.1', 'twist_class_level': 100, 'twisting_char_label': '25.19', 'twisting_conrey_index': 19, 'weight': 4}
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id: 40490858
{'conductor': 25, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 14, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007199321852356, 'source_is_minimal': False, 'source_label': '2500.4.a.c.1.2', 'source_level': 2500, 'target_conrey_index': 41, 'target_dim': 28, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412383969380, 'target_is_minimal': True, 'target_label': '100.4.g.a.41.1', 'target_level': 100, 'twist_class_label': '100.4.g.a.41.1', 'twist_class_level': 100, 'twisting_char_label': '25.21', 'twisting_conrey_index': 21, 'weight': 4}
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id: 40490859
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 14, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007199321852356, 'source_is_minimal': False, 'source_label': '2500.4.a.c.1.2', 'source_level': 2500, 'target_conrey_index': 49, 'target_dim': 56, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149450293748, 'target_is_minimal': False, 'target_label': '500.4.i.b.49.1', 'target_level': 500, 'twist_class_label': '100.4.g.a.41.1', 'twist_class_level': 100, 'twisting_char_label': '25.22', 'twisting_conrey_index': 22, 'weight': 4}
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mf_hecke_charpolys • Show schema
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id: 2698025
{'charpoly_factorization': [[[0, 1], 14]], 'hecke_orbit_code': 9007199321852356, 'p': 2}
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id: 2698026
{'charpoly_factorization': [[[-43494224, 405237652, 546613815, -63905452, -195412686, -929710, 20874680, 50130, -974680, 6820, 22134, -242, -240, 2, 1], 1]], 'hecke_orbit_code': 9007199321852356, 'p': 3}
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id: 2698027
{'charpoly_factorization': [[[0, 1], 14]], 'hecke_orbit_code': 9007199321852356, 'p': 5}
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id: 2698028
{'charpoly_factorization': [[[203538447138816, 865411572129792, -521152481653760, 51894050831488, 12420129040464, -2293747275740, 19898802445, 15046025040, -586216625, -35456580, 1972064, 31408, -2405, -8, 1], 1]], 'hecke_orbit_code': 9007199321852356, 'p': 7}
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id: 2698029
{'charpoly_factorization': [[[7043820010481440000, -4668731584541560000, 739566472400182000, 12631962925774000, -7070536235182500, 118486724556500, 21028897634075, -414958618150, -30159069325, 469858800, 22506440, -209540, -7995, 30, 1], 1]], 'hecke_orbit_code': 9007199321852356, 'p': 11}
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id: 2698030
{'charpoly_factorization': [[[-201339748779957360639, -48823895579683411287, 4337055819030112135, 618159792432058542, -20913136457984546, -2369795544798010, 43127302075780, 3587193495740, -49699310320, -2378531910, 30511594, 705602, -9005, -77, 1], 1]], 'hecke_orbit_code': 9007199321852356, 'p': 13}
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id: 2698031
{'charpoly_factorization': [[[30189589801877858309424, -11223674522396349784416, 114951430014262177860, 56733787824160425744, -180586840853761589, -85085719005171515, 254123327756835, 56842105139950, -269140467705, -18162586785, 122395649, 2510554, -20535, -111, 1], 1]], 'hecke_orbit_code': 9007199321852356, 'p': 17}
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id: 2698032
{'charpoly_factorization': [[[165651160420214151099376, -45453854100539672057756, 3060134587235731121511, 6462308026508430714, -5982316776729844099, 80683879276180552, 4476519999694988, -70332270481778, -1759774932347, 21929672152, 373496176, -2586006, -37039, 64, 1], 1]], 'hecke_orbit_code': 9007199321852356, 'p': 19}
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id: 2698033
{'charpoly_factorization': [[[-49078306553546958106753296, -3402247882291775944744716, 467448668774248261353965, 7424688164722554081664, -477461557304812078819, -4147938217025471560, 187878357267310835, 758416700499480, -33338523490650, -30714196100, 2526903719, -359896, -83515, 24, 1], 1]], 'hecke_orbit_code': 9007199321852356, 'p': 23}
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id: 2698034
{'charpoly_factorization': [[[28563838849086720724234048201, -5829660491340685311030375851, 341891696578463369073247111, -4414208395463380328307766, -49798923581062360338874, 977645556292842971902, 3320900394968472048, -78297424064239028, -175059740820032, 2952247867502, 6615779826, -52750726, -131889, 359, 1], 1]], 'hecke_orbit_code': 9007199321852356, 'p': 29}
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id: 2698035
{'charpoly_factorization': [[[-506096229685000298731866213264, 9925661601392626332173303136, 455336153771037054665835861, -4464946590611373454052844, -115087706286561967272699, 784946340284590091028, 12421267366804738403, -63455357760693072, -644607246549562, 2258829482448, 17265120111, -33568164, -221539, 156, 1], 1]], 'hecke_orbit_code': 9007199321852356, 'p': 31}
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id: 2698036
{'charpoly_factorization': [[[-16984164251965182416556537916979, -459197155050250912902506827973, 7495126531001010724491127445, 401356037106036366203313068, 5106559966175554120740824, 17848708330286731120460, -129942813020876613590, -1130599005212238830, -374729923712230, 18722559055780, 35814650584, -126460812, -342455, 307, 1], 1]], 'hecke_orbit_code': 9007199321852356, 'p': 37}
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id: 2698037
{'charpoly_factorization': [[[-108531240305847442631172203678224, -3394099159795929694067921994624, -4956435615976263582674510764, 646918368638562808031392816, 5403193841683316226748551, -15526367175470917648477, -317370639252677785402, -534129629392233847, 6052164749354643, 22532151213448, -31746128799, -241696099, -124014, 791, 1], 1]], 'hecke_orbit_code': 9007199321852356, 'p': 41}
-
id: 2698038
{'charpoly_factorization': [[[60225195358702145304725757440000, 1561835506466169071460399360000, -20818695934855849567412448000, -511792842609281621200032000, 1030988806232490418034000, 53150914185626711733000, 122665016601848541075, -1690831292396969050, -6670556330546725, 17942726527800, 95030778040, -71169880, -526735, 90, 1], 1]], 'hecke_orbit_code': 9007199321852356, 'p': 43}
-
id: 2698039
{'charpoly_factorization': [[[-4299993563435891086244158548834736, -35544889050863686550596263268476, 600874852388307425205848257665, 4422898694040818248482922024, -34664346644567600229665744, -202752715571437919469120, 1072886563216313877780, 4263530201819353560, -18371294803430330, -41663440338320, 161344767784, 180901224, -664460, -276, 1], 1]], 'hecke_orbit_code': 9007199321852356, 'p': 47}
-
id: 2698040
{'charpoly_factorization': [[[-13881857193644535040394654372883456, 3803710749489444978920277888992256, -14049463884768943803103304490160, -276219851512830966119811251204, 331499210728052373964358211, 7552382854692806782507415, 5334385044130666062010, -72388993382687212675, -100905486732399705, 309502110516860, 545316053669, -608924839, -1228530, 451, 1], 1]], 'hecke_orbit_code': 9007199321852356, 'p': 53}
-
id: 2698041
{'charpoly_factorization': [[[-2967880363709571304235335399653319936, -326382992971715115174658288544757312, -2802720077649597531804328157916304, -4278200518128895472105010305008, 29265417679408814344075384224, 96708537436945133221069904, -69728167568276690458907, -565115779715237051544, -201150888326237238, 1464354397913664, 1179282996411, -1766283488, -1873546, 808, 1], 1]], 'hecke_orbit_code': 9007199321852356, 'p': 59}
-
id: 2698042
{'charpoly_factorization': [[[-8265326768136209101701116346326090551, -192249721069559934732786925879689083, -1084230436761944451725380965268059, 1540089433173350452403768225008, 27023379766039877674114304124, 39327686714123793649661836, -179435068048955137523562, -497790033897386060926, 243947422440354362, 1782295711453136, 737247067476, -2341954492, -1808591, 1017, 1], 1]], 'hecke_orbit_code': 9007199321852356, 'p': 61}
-
id: 2698043
{'charpoly_factorization': [[[13995097304277128464929568967509729536, 8970351722451111025265180222569152, -1152629133044210965434461609303440, 1725972957838481682531537892848, 23868765519857056646129333004, -57690165343650135118880900, -155131277602863612865465, 484832494329133857230, 368906314824570515, -1722634087054840, -38490777016, 2782015188, -1008535, -1678, 1], 1]], 'hecke_orbit_code': 9007199321852356, 'p': 67}
-
id: 2698044
{'charpoly_factorization': [[[747639545212899915324924221356927313664, 7846618064140108979665208417544411648, 13194214662876658051195477504235821, -79562099032266272668293039269148, -215529970092339766282557670376, 322839026749659361860505804, 1143816495654457565041628, -673227746192541328844, -3053404793284043878, 776485996413364, 4432610394336, -495948148, -3322196, 148, 1], 1]], 'hecke_orbit_code': 9007199321852356, 'p': 71}
-
id: 2698045
{'charpoly_factorization': [[[-449508296692024080390445433651761911984, -296047229233415694008168228768738352, 13258108337438151181754023433919900, 5388318971122179118150912578312, -148381528097757721180846092101, -35112970596848525282363545, 823235670091067677321630, 81182137894809598025, -2467938721967939965, 22921498083920, 3993318748949, -290348783, -3204630, 223, 1], 1]], 'hecke_orbit_code': 9007199321852356, 'p': 73}
-
id: 2698046
{'charpoly_factorization': [[[-40283971191201022990825162059644034816, 3069165522144302656258430326874386752, -66151636927805527424790986548021104, 385850057654561559132293947109808, -426397126509808380303273617676, -1804043330477165777394087924, 3568377869224968097611653, 2933431750274599632544, -8518120967790508438, -1893062328694964, 9344296290391, 284382848, -4902346, 92, 1], 1]], 'hecke_orbit_code': 9007199321852356, 'p': 79}
-
id: 2698047
{'charpoly_factorization': [[[-838152405085789633823559090665927856, 51224780775479215577700079661080944, -872980673746599127370102827719445, 4122025112309549613711637108774, 9588391176828158365761194781, -104873593029831687332378820, 96118073538902375369705, 655858848591548545910, -1246137720594870880, -1062873318781870, 3439536953339, -90995956, -3108445, 474, 1], 1]], 'hecke_orbit_code': 9007199321852356, 'p': 83}
-
id: 2698048
{'charpoly_factorization': [[[-1199137705638824525229855784861231878144, -19470267433454506471162691510198206464, -73708549056891104741307907628941824, 149122851308113459649066121812736, 1219313521685415560709226118576, 767168625736252717816892688, -5348876028103101792246472, -7924351545328498519552, 6181155525312813903, 16271009769401423, 1608312720456, -10572572689, -3818624, 2111, 1], 1]], 'hecke_orbit_code': 9007199321852356, 'p': 89}
-
id: 2698049
{'charpoly_factorization': [[[2088832598093162051744968760511282651, 13529348969921678273068090746796947, -2052573072796451767064205207038210, -14007610024607889014272699186487, 97601637807034956931822508909, 776368138737263495409508270, 881964935828748223905495, -2625052719086120549395, -4894651346294400095, 2468337348189590, 7611332777139, -236460047, -4679890, -353, 1], 1]], 'hecke_orbit_code': 9007199321852356, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '2500.4.a.c', 'level': 2500, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 28835347
{'hecke_orbit_code': 9007199321852356, 'n': 1, 'trace_an': 14}
-
id: 28835348
{'hecke_orbit_code': 9007199321852356, 'n': 2, 'trace_an': 0}
-
id: 28835349
{'hecke_orbit_code': 9007199321852356, 'n': 3, 'trace_an': -2}
-
id: 28835350
{'hecke_orbit_code': 9007199321852356, 'n': 4, 'trace_an': 0}
-
id: 28835351
{'hecke_orbit_code': 9007199321852356, 'n': 5, 'trace_an': 0}
-
id: 28835352
{'hecke_orbit_code': 9007199321852356, 'n': 6, 'trace_an': 0}
-
id: 28835353
{'hecke_orbit_code': 9007199321852356, 'n': 7, 'trace_an': 8}
-
id: 28835354
{'hecke_orbit_code': 9007199321852356, 'n': 8, 'trace_an': 0}
-
id: 28835355
{'hecke_orbit_code': 9007199321852356, 'n': 9, 'trace_an': 106}
-
id: 28835356
{'hecke_orbit_code': 9007199321852356, 'n': 10, 'trace_an': 0}
-
id: 28835357
{'hecke_orbit_code': 9007199321852356, 'n': 11, 'trace_an': -30}
-
id: 28835358
{'hecke_orbit_code': 9007199321852356, 'n': 12, 'trace_an': 0}
-
id: 28835359
{'hecke_orbit_code': 9007199321852356, 'n': 13, 'trace_an': 77}
-
id: 28835360
{'hecke_orbit_code': 9007199321852356, 'n': 14, 'trace_an': 0}
-
id: 28835361
{'hecke_orbit_code': 9007199321852356, 'n': 15, 'trace_an': 0}
-
id: 28835362
{'hecke_orbit_code': 9007199321852356, 'n': 16, 'trace_an': 0}
-
id: 28835363
{'hecke_orbit_code': 9007199321852356, 'n': 17, 'trace_an': 111}
-
id: 28835364
{'hecke_orbit_code': 9007199321852356, 'n': 18, 'trace_an': 0}
-
id: 28835365
{'hecke_orbit_code': 9007199321852356, 'n': 19, 'trace_an': -64}
-
id: 28835366
{'hecke_orbit_code': 9007199321852356, 'n': 20, 'trace_an': 0}
-
id: 28835367
{'hecke_orbit_code': 9007199321852356, 'n': 21, 'trace_an': -156}
-
id: 28835368
{'hecke_orbit_code': 9007199321852356, 'n': 22, 'trace_an': 0}
-
id: 28835369
{'hecke_orbit_code': 9007199321852356, 'n': 23, 'trace_an': -24}
-
id: 28835370
{'hecke_orbit_code': 9007199321852356, 'n': 24, 'trace_an': 0}
-
id: 28835371
{'hecke_orbit_code': 9007199321852356, 'n': 25, 'trace_an': 0}
-
id: 28835372
{'hecke_orbit_code': 9007199321852356, 'n': 26, 'trace_an': 0}
-
id: 28835373
{'hecke_orbit_code': 9007199321852356, 'n': 27, 'trace_an': -614}
-
id: 28835374
{'hecke_orbit_code': 9007199321852356, 'n': 28, 'trace_an': 0}
-
id: 28835375
{'hecke_orbit_code': 9007199321852356, 'n': 29, 'trace_an': -359}
-
id: 28835376
{'hecke_orbit_code': 9007199321852356, 'n': 30, 'trace_an': 0}
-
id: 28835377
{'hecke_orbit_code': 9007199321852356, 'n': 31, 'trace_an': -156}
-
id: 28835378
{'hecke_orbit_code': 9007199321852356, 'n': 32, 'trace_an': 0}
-
id: 28835379
{'hecke_orbit_code': 9007199321852356, 'n': 33, 'trace_an': -390}
-
id: 28835380
{'hecke_orbit_code': 9007199321852356, 'n': 34, 'trace_an': 0}
-
id: 28835381
{'hecke_orbit_code': 9007199321852356, 'n': 35, 'trace_an': 0}
-
id: 28835382
{'hecke_orbit_code': 9007199321852356, 'n': 36, 'trace_an': 0}
-
id: 28835383
{'hecke_orbit_code': 9007199321852356, 'n': 37, 'trace_an': -307}
-
id: 28835384
{'hecke_orbit_code': 9007199321852356, 'n': 38, 'trace_an': 0}
-
id: 28835385
{'hecke_orbit_code': 9007199321852356, 'n': 39, 'trace_an': -314}
-
id: 28835386
{'hecke_orbit_code': 9007199321852356, 'n': 40, 'trace_an': 0}
-
id: 28835387
{'hecke_orbit_code': 9007199321852356, 'n': 41, 'trace_an': -791}
-
id: 28835388
{'hecke_orbit_code': 9007199321852356, 'n': 42, 'trace_an': 0}
-
id: 28835389
{'hecke_orbit_code': 9007199321852356, 'n': 43, 'trace_an': -90}
-
id: 28835390
{'hecke_orbit_code': 9007199321852356, 'n': 44, 'trace_an': 0}
-
id: 28835391
{'hecke_orbit_code': 9007199321852356, 'n': 45, 'trace_an': 0}
-
id: 28835392
{'hecke_orbit_code': 9007199321852356, 'n': 46, 'trace_an': 0}
-
id: 28835393
{'hecke_orbit_code': 9007199321852356, 'n': 47, 'trace_an': 276}
-
id: 28835394
{'hecke_orbit_code': 9007199321852356, 'n': 48, 'trace_an': 0}
-
id: 28835395
{'hecke_orbit_code': 9007199321852356, 'n': 49, 'trace_an': 72}
-
id: 28835396
{'hecke_orbit_code': 9007199321852356, 'n': 50, 'trace_an': 0}
-
id: 28835397
{'hecke_orbit_code': 9007199321852356, 'n': 51, 'trace_an': -832}
-
id: 28835398
{'hecke_orbit_code': 9007199321852356, 'n': 52, 'trace_an': 0}
-
id: 28835399
{'hecke_orbit_code': 9007199321852356, 'n': 53, 'trace_an': -451}
-
id: 28835400
{'hecke_orbit_code': 9007199321852356, 'n': 54, 'trace_an': 0}
-
id: 28835401
{'hecke_orbit_code': 9007199321852356, 'n': 55, 'trace_an': 0}
-
id: 28835402
{'hecke_orbit_code': 9007199321852356, 'n': 56, 'trace_an': 0}
-
id: 28835403
{'hecke_orbit_code': 9007199321852356, 'n': 57, 'trace_an': 192}
-
id: 28835404
{'hecke_orbit_code': 9007199321852356, 'n': 58, 'trace_an': 0}
-
id: 28835405
{'hecke_orbit_code': 9007199321852356, 'n': 59, 'trace_an': -808}
-
id: 28835406
{'hecke_orbit_code': 9007199321852356, 'n': 60, 'trace_an': 0}
-
id: 28835407
{'hecke_orbit_code': 9007199321852356, 'n': 61, 'trace_an': -1017}
-
id: 28835408
{'hecke_orbit_code': 9007199321852356, 'n': 62, 'trace_an': 0}
-
id: 28835409
{'hecke_orbit_code': 9007199321852356, 'n': 63, 'trace_an': 2082}
-
id: 28835410
{'hecke_orbit_code': 9007199321852356, 'n': 64, 'trace_an': 0}
-
id: 28835411
{'hecke_orbit_code': 9007199321852356, 'n': 65, 'trace_an': 0}
-
id: 28835412
{'hecke_orbit_code': 9007199321852356, 'n': 66, 'trace_an': 0}
-
id: 28835413
{'hecke_orbit_code': 9007199321852356, 'n': 67, 'trace_an': 1678}
-
id: 28835414
{'hecke_orbit_code': 9007199321852356, 'n': 68, 'trace_an': 0}
-
id: 28835415
{'hecke_orbit_code': 9007199321852356, 'n': 69, 'trace_an': -1502}
-
id: 28835416
{'hecke_orbit_code': 9007199321852356, 'n': 70, 'trace_an': 0}
-
id: 28835417
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