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mf_newforms • Show schema
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{'Nk2': 19200, 'analytic_conductor': 70.80229200688873, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [1200, 2, [751, 901, 401, 577], [2, 2, 2, 1]], 'cm_discs': [], 'conrey_index': 49, '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, [529, 0, 1]], [11, [-30, 1]]], 'hecke_orbit': 17, 'hecke_orbit_code': 72057937702421680, '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': '1200.4.f.q', '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': '150.4.a.c', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q+3 i q^{3}+23 i q^{7}-9 q^{9}+30 q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '3.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1200.4.f', 'trace_display': [0, 0, 0, 0], 'trace_hash': 36439122900523995, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.986', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.058', 'prec': 17}, {'__RealLiteral__': 0, 'data': '16.046', 'prec': 20}, {'__RealLiteral__': 0, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 19200, 'analytic_conductor': 70.80229200688873, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [1200, 2, [751, 901, 401, 577], [2, 2, 2, 1]], 'conrey_index': 49, 'cusp_dim': 684, 'dim': 54, 'eis_dim': 72, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 343664493744, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4], 'label': '1200.4.f', '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': 54, 'num_forms': 24, 'prim_orbit_index': 2, 'relative_dim': 54, 'sturm_bound': 960, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [54, 0, 0, 0, 0, 0, 0, 0, -486, 0, 0, 0, 0, 0, 0, 0, 0, 0, 252, 0, 0, 0, 0, 0, 0, 0, 0, 0, 284, 0, 636, 0, 0, 0, 0, 0, 0, 0, -312, 0, -356, 0, 0, 0, 0, 0, 0, 0, -2030, 0, 132, 0, 0, 0, 0, 0, 0, 0, 1376, 0, 756, 0, 0, 0, 0, 0, 0, 0, -528, 0, -224, 0, 0, 0, 0, 0, 0, 0, -2240, 0, 4374, 0, 0, 0, 0, 0, 0, 0, -1932, 0, -812, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1940, 0, 0, 0, 0, 0, 0, 0, -212, 0, 2172, 0, 0, 0, 0, 0, 0, 0, -16072, 0, 7742, 0, 0, 0, 0, 0, 0, 0, 1488, 0, -3240, 0, 0, 0, 0, 0, 0, 0, 8760, 0, -2928, 0, 0, 0, 0, 0, 0, 0, 3292, 0, 9844, 0, 0, 0, 0, 0, 0, 0, -6516, 0, 9632, 0, 0, 0, 0, 0, 0, 0, -11410, 0, -2268, 0, 0, 0, 0, 0, 0, 0, 8624, 0, -10300, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13080, 0, 0, 0, 0, 0, 0, 0, -28468, 0, 1968, 0, 0, 0, 0, 0, 0, 0, -11168, 0, -396, 0, 0, 0, 0, 0, 0, 0, 972, 0, 12984, 0, 0, 0, 0, 0, 0, 0, -2516, 0, 9720, 0, 0, 0, 0, 0, 0, 0, -21888, 0, 13908, 0, 0, 0, 0, 0, 0, 0, -1608, 0, 17688, 0, 0, 0, 0, 0, 0, 0, 44808, 0, -2556, 0, 0, 0, 0, 0, 0, 0, -4644, 0, 23360, 0, 0, 0, 0, 0, 0, 0, -5724, 0, -21524, 0, 0, 0, 0, 0, 0, 0, -34946, 0, -14040, 0, 0, 0, 0, 0, 0, 0, 23320, 0, 4960, 0, 0, 0, 0, 0, 0, 0, 9456, 0, -9288, 0, 0, 0, 0, 0, 0, 0, -7456, 0, 4536, 0, 0, 0, 0, 0, 0, 0, 7568, 0, -15256, 0, 0, 0, 0, 0, 0, 0, 15924, 0, -39216, 0, 0, 0, 0, 0, 0, 0, -4516, 0, 2808, 0, 0, 0, 0, 0, 0, 0, -30272, 0, -12762, 0, 0, 0, 0, 0, 0, 0, 3204, 0, -14336, 0, 0, 0, 0, 0, 0, 0, -17356, 0, 16608, 0, 0, 0, 0, 0, 0, 0, 39884, 0, 42704, 0, 0, 0, 0, 0, 0, 0, -32028, 0, 30668, 0, 0, 0, 0, 0, 0, 0, 35532, 0, -6252, 0, 0, 0, 0, 0, 0, 0, -13272, 0, -50060, 0, 0, 0, 0, 0, 0, 0, 12576, 0, -90824, 0, 0, 0, 0, 0, 0, 0, 1252, 0, 18270, 0, 0, 0, 0, 0, 0, 0, -7644, 0, -21584, 0, 0, 0, 0, 0, 0, 0, -1188, 0, -1596, 0, 0, 0, 0, 0, 0, 0, 53040, 0, 30768, 0, 0, 0, 0, 0, 0, 0, 123928, 0, 74456, 0, 0, 0, 0, 0, 0, 0, 5904, 0, 5352, 0, 0, 0, 0, 0, 0, 0, 30444, 0, -38640, 0, 0, 0, 0, 0, 0, 0, 14796, 0, -47944, 0, 0, 0, 0, 0, 0, 0, 20436, 0, -72468, 0, 0, 0, 0, 0, 0, 0, -18214, 0, -12384, 0, 0, 0, 0, 0, 0, 0, -45240, 0, 32196, 0, 0, 0, 0, 0, 0, 0, -6804, 0, -127128, 0, 0, 0, 0, 0, 0, 0, 10804, 0, 28464, 0, 0, 0, 0, 0, 0, 0, -18732, 0, -28924, 0, 0, 0, 0, 0, 0, 0, -6768, 0, -92160, 0, 0, 0, 0, 0, 0, 0, 35104, 0, 61164, 0, 0, 0, 0, 0, 0, 0, 133024, 0, -57852, 0, 0, 0, 0, 0, 0, 0, -34560, 0, 121544, 0, 0, 0, 0, 0, 0, 0, -43604, 0, 4752, 0, 0, 0, 0, 0, 0, 0, 107320, 0, 21308, 0, 0, 0, 0, 0, 0, 0, 2016, 0, 113692, 0, 0, 0, 0, 0, 0, 0, -36320, 0, -51972, 0, 0, 0, 0, 0, 0, 0, -69800, 0, -174060, 0, 0, 0, 0, 0, 0, 0, 5472, 0, -130744, 0, 0, 0, 0, 0, 0, 0, 172900, 0, -27384, 0, 0, 0, 0, 0, 0, 0, -108872, 0, -106584, 0, 0, 0, 0, 0, 0, 0, 55140, 0, 7684, 0, 0, 0, 0, 0, 0, 0, 72476, 0, 20160, 0, 0, 0, 0, 0, 0, 0, 144136, 0, 147408, 0, 0, 0, 0, 0, 0, 0, -39366, 0, 265256, 0, 0, 0, 0, 0, 0, 0, -77464, 0, -20976, 0, 0, 0, 0, 0, 0, 0, -17264, 0, -96, 0, 0, 0, 0, 0, 0, 0, 3984, 0, -65204, 0, 0, 0, 0, 0, 0, 0, -8548, 0, -146484, 0, 0, 0, 0, 0, 0, 0, -329504, 0, 87136, 0, 0, 0, 0, 0, 0, 0, 37584, 0, -115344, 0, 0, 0, 0, 0, 0, 0, -7408, 0, 17388, 0, 0, 0, 0, 0, 0, 0, 35684, 0, 52116, 0, 0, 0, 0, 0, 0, 0, 7308, 0, -232732, 0, 0, 0, 0, 0, 0, 0, 59676, 0, 150216, 0, 0, 0, 0, 0, 0, 0, -12664, 0, -41718, 0, 0, 0, 0, 0, 0, 0, -10320, 0, 207792, 0, 0, 0, 0, 0, 0, 0, -87608, 0, 32016, 0, 0, 0, 0, 0, 0, 0, 72352, 0, 115692, 0, 0, 0, 0, 0, 0, 0, 3156, 0, 278972, 0, 0, 0, 0, 0, 0, 0, -4784, 0, 0, 0, 0, 0, 0, 0, 0, 0, -69496, 0, -118200, 0, 0, 0, 0, 0, 0, 0, -17460, 0, -334456, 0, 0, 0, 0, 0, 0, 0, -120820, 0, -31584, 0, 0, 0, 0, 0, 0, 0, -219772, 0, -156464, 0, 0, 0, 0, 0, 0, 0, 41664, 0, 146484, 0, 0, 0, 0, 0, 0, 0, 150648, 0, 147204, 0, 0, 0, 0, 0, 0, 0, 110424, 0, 246910, 0, 0, 0, 0, 0, 0, 0, -720, 0, 391312, 0, 0, 0, 0, 0, 0, 0, -73744, 0, 1908, 0, 0, 0, 0, 0, 0, 0, -73328, 0, 411852, 0, 0, 0, 0, 0, 0, 0, -19548, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48069661
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 72057937702421680, 'source_is_minimal': False, 'source_label': '1200.4.f.q.49.2', 'source_level': 1200, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 72057937702421680, 'target_is_minimal': False, 'target_label': '1200.4.f.q.49.2', 'target_level': 1200, 'twist_class_label': '150.4.a.c.1.1', 'twist_class_level': 150, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 48069662
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 72057937702421680, 'source_is_minimal': False, 'source_label': '1200.4.f.q.49.2', 'source_level': 1200, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737133432982, 'target_is_minimal': False, 'target_label': '150.4.c.b.49.1', 'target_level': 150, 'twist_class_label': '150.4.a.c.1.1', 'twist_class_level': 150, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 48069663
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 72057937702421680, 'source_is_minimal': False, 'source_label': '1200.4.f.q.49.2', 'source_level': 1200, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 94575592241890480, 'target_is_minimal': False, 'target_label': '1200.4.a.v.1.1', 'target_level': 1200, 'twist_class_label': '150.4.a.c.1.1', 'twist_class_level': 150, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 48069664
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 72057937702421680, 'source_is_minimal': False, 'source_label': '1200.4.f.q.49.2', 'source_level': 1200, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561193732408496, 'target_is_minimal': False, 'target_label': '1200.4.a.r.1.1', 'target_level': 1200, 'twist_class_label': '150.4.a.c.1.1', 'twist_class_level': 150, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 48069665
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 72057937702421680, 'source_is_minimal': False, 'source_label': '1200.4.f.q.49.2', 'source_level': 1200, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057937702421680, 'target_is_minimal': False, 'target_label': '1200.4.f.q.49.1', 'target_level': 1200, 'twist_class_label': '150.4.a.c.1.1', 'twist_class_level': 150, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 48069666
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 72057937702421680, 'source_is_minimal': False, 'source_label': '1200.4.f.q.49.2', 'source_level': 1200, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525334897656258, 'target_is_minimal': False, 'target_label': '450.4.c.h.199.2', 'target_level': 450, 'twist_class_label': '150.4.a.c.1.1', 'twist_class_level': 150, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 4}
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id: 48069667
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 72057937702421680, 'source_is_minimal': False, 'source_label': '1200.4.f.q.49.2', 'source_level': 1200, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199321850006, 'target_is_minimal': True, 'target_label': '150.4.a.c.1.1', 'target_level': 150, 'twist_class_label': '150.4.a.c.1.1', 'twist_class_level': 150, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 48069668
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 72057937702421680, 'source_is_minimal': False, 'source_label': '1200.4.f.q.49.2', 'source_level': 1200, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597831331990, 'target_is_minimal': True, 'target_label': '150.4.a.g.1.1', 'target_level': 150, 'twist_class_label': '150.4.a.c.1.1', 'twist_class_level': 150, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 4}
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id: 48069669
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 72057937702421680, 'source_is_minimal': False, 'source_label': '1200.4.f.q.49.2', 'source_level': 1200, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503737133432982, 'target_is_minimal': False, 'target_label': '150.4.c.b.49.2', 'target_level': 150, 'twist_class_label': '150.4.a.c.1.1', 'twist_class_level': 150, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 4}
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id: 48069670
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 72057937702421680, 'source_is_minimal': False, 'source_label': '1200.4.f.q.49.2', 'source_level': 1200, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595968184770, 'target_is_minimal': False, 'target_label': '450.4.a.l.1.1', 'target_level': 450, 'twist_class_label': '150.4.a.c.1.1', 'twist_class_level': 150, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 4}
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id: 48069671
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 72057937702421680, 'source_is_minimal': False, 'source_label': '1200.4.f.q.49.2', 'source_level': 1200, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028797086073282, 'target_is_minimal': False, 'target_label': '450.4.a.i.1.1', 'target_level': 450, 'twist_class_label': '150.4.a.c.1.1', 'twist_class_level': 150, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 4}
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id: 48069672
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 72057937702421680, 'source_is_minimal': False, 'source_label': '1200.4.f.q.49.2', 'source_level': 1200, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525334897656258, 'target_is_minimal': False, 'target_label': '450.4.c.h.199.1', 'target_level': 450, 'twist_class_label': '150.4.a.c.1.1', 'twist_class_level': 150, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1765125
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 72057937702421680, 'p': 2}
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id: 1765126
{'charpoly_factorization': [[[9, 0, 1], 1]], 'hecke_orbit_code': 72057937702421680, 'p': 3}
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id: 1765127
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 72057937702421680, 'p': 5}
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id: 1765128
{'charpoly_factorization': [[[529, 0, 1], 1]], 'hecke_orbit_code': 72057937702421680, 'p': 7}
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id: 1765129
{'charpoly_factorization': [[[-30, 1], 2]], 'hecke_orbit_code': 72057937702421680, 'p': 11}
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id: 1765130
{'charpoly_factorization': [[[841, 0, 1], 1]], 'hecke_orbit_code': 72057937702421680, 'p': 13}
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id: 1765131
{'charpoly_factorization': [[[6084, 0, 1], 1]], 'hecke_orbit_code': 72057937702421680, 'p': 17}
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id: 1765132
{'charpoly_factorization': [[[-149, 1], 2]], 'hecke_orbit_code': 72057937702421680, 'p': 19}
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id: 1765133
{'charpoly_factorization': [[[22500, 0, 1], 1]], 'hecke_orbit_code': 72057937702421680, 'p': 23}
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id: 1765134
{'charpoly_factorization': [[[-234, 1], 2]], 'hecke_orbit_code': 72057937702421680, 'p': 29}
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id: 1765135
{'charpoly_factorization': [[[-217, 1], 2]], 'hecke_orbit_code': 72057937702421680, 'p': 31}
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id: 1765136
{'charpoly_factorization': [[[21316, 0, 1], 1]], 'hecke_orbit_code': 72057937702421680, 'p': 37}
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id: 1765137
{'charpoly_factorization': [[[156, 1], 2]], 'hecke_orbit_code': 72057937702421680, 'p': 41}
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id: 1765138
{'charpoly_factorization': [[[187489, 0, 1], 1]], 'hecke_orbit_code': 72057937702421680, 'p': 43}
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id: 1765139
{'charpoly_factorization': [[[900, 0, 1], 1]], 'hecke_orbit_code': 72057937702421680, 'p': 47}
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id: 1765140
{'charpoly_factorization': [[[304704, 0, 1], 1]], 'hecke_orbit_code': 72057937702421680, 'p': 53}
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id: 1765141
{'charpoly_factorization': [[[270, 1], 2]], 'hecke_orbit_code': 72057937702421680, 'p': 59}
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id: 1765142
{'charpoly_factorization': [[[-275, 1], 2]], 'hecke_orbit_code': 72057937702421680, 'p': 61}
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id: 1765143
{'charpoly_factorization': [[[644809, 0, 1], 1]], 'hecke_orbit_code': 72057937702421680, 'p': 67}
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id: 1765144
{'charpoly_factorization': [[[660, 1], 2]], 'hecke_orbit_code': 72057937702421680, 'p': 71}
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id: 1765145
{'charpoly_factorization': [[[417316, 0, 1], 1]], 'hecke_orbit_code': 72057937702421680, 'p': 73}
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id: 1765146
{'charpoly_factorization': [[[-992, 1], 2]], 'hecke_orbit_code': 72057937702421680, 'p': 79}
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id: 1765147
{'charpoly_factorization': [[[715716, 0, 1], 1]], 'hecke_orbit_code': 72057937702421680, 'p': 83}
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id: 1765148
{'charpoly_factorization': [[[-1488, 1], 2]], 'hecke_orbit_code': 72057937702421680, 'p': 89}
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id: 1765149
{'charpoly_factorization': [[[101761, 0, 1], 1]], 'hecke_orbit_code': 72057937702421680, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 17, 'label': '1200.4.f.q', 'level': 1200, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
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id: 62063941
{'hecke_orbit_code': 72057937702421680, 'n': 1, 'trace_an': 2}
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id: 62063942
{'hecke_orbit_code': 72057937702421680, 'n': 2, 'trace_an': 0}
-
id: 62063943
{'hecke_orbit_code': 72057937702421680, 'n': 3, 'trace_an': 0}
-
id: 62063944
{'hecke_orbit_code': 72057937702421680, 'n': 4, 'trace_an': 0}
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id: 62063945
{'hecke_orbit_code': 72057937702421680, 'n': 5, 'trace_an': 0}
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id: 62063946
{'hecke_orbit_code': 72057937702421680, 'n': 6, 'trace_an': 0}
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id: 62063947
{'hecke_orbit_code': 72057937702421680, 'n': 7, 'trace_an': 0}
-
id: 62063948
{'hecke_orbit_code': 72057937702421680, 'n': 8, 'trace_an': 0}
-
id: 62063949
{'hecke_orbit_code': 72057937702421680, 'n': 9, 'trace_an': -18}
-
id: 62063950
{'hecke_orbit_code': 72057937702421680, 'n': 10, 'trace_an': 0}
-
id: 62063951
{'hecke_orbit_code': 72057937702421680, 'n': 11, 'trace_an': 60}
-
id: 62063952
{'hecke_orbit_code': 72057937702421680, 'n': 12, 'trace_an': 0}
-
id: 62063953
{'hecke_orbit_code': 72057937702421680, 'n': 13, 'trace_an': 0}
-
id: 62063954
{'hecke_orbit_code': 72057937702421680, 'n': 14, 'trace_an': 0}
-
id: 62063955
{'hecke_orbit_code': 72057937702421680, 'n': 15, 'trace_an': 0}
-
id: 62063956
{'hecke_orbit_code': 72057937702421680, 'n': 16, 'trace_an': 0}
-
id: 62063957
{'hecke_orbit_code': 72057937702421680, 'n': 17, 'trace_an': 0}
-
id: 62063958
{'hecke_orbit_code': 72057937702421680, 'n': 18, 'trace_an': 0}
-
id: 62063959
{'hecke_orbit_code': 72057937702421680, 'n': 19, 'trace_an': 298}
-
id: 62063960
{'hecke_orbit_code': 72057937702421680, 'n': 20, 'trace_an': 0}
-
id: 62063961
{'hecke_orbit_code': 72057937702421680, 'n': 21, 'trace_an': -138}
-
id: 62063962
{'hecke_orbit_code': 72057937702421680, 'n': 22, 'trace_an': 0}
-
id: 62063963
{'hecke_orbit_code': 72057937702421680, 'n': 23, 'trace_an': 0}
-
id: 62063964
{'hecke_orbit_code': 72057937702421680, 'n': 24, 'trace_an': 0}
-
id: 62063965
{'hecke_orbit_code': 72057937702421680, 'n': 25, 'trace_an': 0}
-
id: 62063966
{'hecke_orbit_code': 72057937702421680, 'n': 26, 'trace_an': 0}
-
id: 62063967
{'hecke_orbit_code': 72057937702421680, 'n': 27, 'trace_an': 0}
-
id: 62063968
{'hecke_orbit_code': 72057937702421680, 'n': 28, 'trace_an': 0}
-
id: 62063969
{'hecke_orbit_code': 72057937702421680, 'n': 29, 'trace_an': 468}
-
id: 62063970
{'hecke_orbit_code': 72057937702421680, 'n': 30, 'trace_an': 0}
-
id: 62063971
{'hecke_orbit_code': 72057937702421680, 'n': 31, 'trace_an': 434}
-
id: 62063972
{'hecke_orbit_code': 72057937702421680, 'n': 32, 'trace_an': 0}
-
id: 62063973
{'hecke_orbit_code': 72057937702421680, 'n': 33, 'trace_an': 0}
-
id: 62063974
{'hecke_orbit_code': 72057937702421680, 'n': 34, 'trace_an': 0}
-
id: 62063975
{'hecke_orbit_code': 72057937702421680, 'n': 35, 'trace_an': 0}
-
id: 62063976
{'hecke_orbit_code': 72057937702421680, 'n': 36, 'trace_an': 0}
-
id: 62063977
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