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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, [1024, 0, 1]], [11, [-60, 1]]], 'hecke_orbit': 21, 'hecke_orbit_code': 90072336211903664, '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.u', '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': '30.4.a.a', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q-3 i q^{3}+32 i q^{7}-9 q^{9}+60 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': 1399257899851624409, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.923', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.042', 'prec': 20}, {'__RealLiteral__': 0, 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mf_hecke_cc • Show schema
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'embedding_root_imag': -1.0, 'embedding_root_real': 0.0, 'hecke_orbit': 21, 'hecke_orbit_code': 90072336211903664, 'label': '1200.4.f.u.49.2', 'level': 1200, 'weight': 4}
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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: 48363019
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90072336211903664, 'source_is_minimal': False, 'source_label': '1200.4.f.u.49.2', 'source_level': 1200, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 90072336211903664, 'target_is_minimal': False, 'target_label': '1200.4.f.u.49.2', 'target_level': 1200, 'twist_class_label': '30.4.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 48363020
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90072336211903664, 'source_is_minimal': False, 'source_label': '1200.4.f.u.49.2', 'source_level': 1200, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 137506062486, 'target_is_minimal': False, 'target_label': '150.4.c.a.49.1', 'target_level': 150, 'twist_class_label': '30.4.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 48363021
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90072336211903664, 'source_is_minimal': False, 'source_label': '1200.4.f.u.49.2', 'source_level': 1200, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 162129586652447920, 'target_is_minimal': False, 'target_label': '1200.4.a.bk.1.1', 'target_level': 1200, 'twist_class_label': '30.4.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 48363022
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90072336211903664, 'source_is_minimal': False, 'source_label': '1200.4.f.u.49.2', 'source_level': 1200, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199321850096, 'target_is_minimal': False, 'target_label': '240.4.a.c.1.1', 'target_level': 240, 'twist_class_label': '30.4.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 48363023
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90072336211903664, 'source_is_minimal': False, 'source_label': '1200.4.f.u.49.2', 'source_level': 1200, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90072336211903664, 'target_is_minimal': False, 'target_label': '1200.4.f.u.49.1', 'target_level': 1200, 'twist_class_label': '30.4.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 48363024
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90072336211903664, 'source_is_minimal': False, 'source_label': '1200.4.f.u.49.2', 'source_level': 1200, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45036133779767746, 'target_is_minimal': False, 'target_label': '450.4.c.k.199.2', 'target_level': 450, 'twist_class_label': '30.4.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 4}
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id: 48363025
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90072336211903664, 'source_is_minimal': False, 'source_label': '1200.4.f.u.49.2', 'source_level': 1200, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599694480080, 'target_is_minimal': False, 'target_label': '720.4.a.b.1.1', 'target_level': 720, 'twist_class_label': '30.4.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 4}
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id: 48363026
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90072336211903664, 'source_is_minimal': False, 'source_label': '1200.4.f.u.49.2', 'source_level': 1200, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67108894, 'target_is_minimal': True, 'target_label': '30.4.a.a.1.1', 'target_level': 30, 'twist_class_label': '30.4.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 48363027
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90072336211903664, 'source_is_minimal': False, 'source_label': '1200.4.f.u.49.2', 'source_level': 1200, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398576590998, 'target_is_minimal': False, 'target_label': '150.4.a.e.1.1', 'target_level': 150, 'twist_class_label': '30.4.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 4}
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id: 48363028
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90072336211903664, 'source_is_minimal': False, 'source_label': '1200.4.f.u.49.2', 'source_level': 1200, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 137506062486, 'target_is_minimal': False, 'target_label': '150.4.c.a.49.2', 'target_level': 150, 'twist_class_label': '30.4.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 4}
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id: 48363029
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90072336211903664, 'source_is_minimal': False, 'source_label': '1200.4.f.u.49.2', 'source_level': 1200, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396713444288, 'target_is_minimal': False, 'target_label': '960.4.a.j.1.1', 'target_level': 960, 'twist_class_label': '30.4.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '40.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 48363030
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90072336211903664, 'source_is_minimal': False, 'source_label': '1200.4.f.u.49.2', 'source_level': 1200, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81064793359778752, 'target_is_minimal': False, 'target_label': '960.4.a.s.1.1', 'target_level': 960, 'twist_class_label': '30.4.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '40.13', 'twisting_conrey_index': 13, 'weight': 4}
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id: 48363031
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90072336211903664, 'source_is_minimal': False, 'source_label': '1200.4.f.u.49.2', 'source_level': 1200, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798949220442, 'target_is_minimal': False, 'target_label': '90.4.a.d.1.1', 'target_level': 90, 'twist_class_label': '30.4.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 4}
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id: 48363032
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90072336211903664, 'source_is_minimal': False, 'source_label': '1200.4.f.u.49.2', 'source_level': 1200, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599694479810, 'target_is_minimal': False, 'target_label': '450.4.a.b.1.1', 'target_level': 450, 'twist_class_label': '30.4.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 4}
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id: 48363033
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90072336211903664, 'source_is_minimal': False, 'source_label': '1200.4.f.u.49.2', 'source_level': 1200, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036133779767746, 'target_is_minimal': False, 'target_label': '450.4.c.k.199.1', 'target_level': 450, 'twist_class_label': '30.4.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 4}
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id: 48363034
{'conductor': 140, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90072336211903664, 'source_is_minimal': False, 'source_label': '1200.4.f.u.49.2', 'source_level': 1200, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67110334, 'target_is_minimal': False, 'target_label': '1470.4.a.a.1.1', 'target_level': 1470, 'twist_class_label': '30.4.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '140.83', 'twisting_conrey_index': 83, 'weight': 4}
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id: 48363035
{'conductor': 180, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90072336211903664, 'source_is_minimal': False, 'source_label': '1200.4.f.u.49.2', 'source_level': 1200, 'target_conrey_index': 541, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014673454498602, 'target_is_minimal': False, 'target_label': '810.4.e.e.541.1', 'target_level': 810, 'twist_class_label': '30.4.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '180.23', 'twisting_conrey_index': 23, 'weight': 4}
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id: 48363036
{'conductor': 180, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90072336211903664, 'source_is_minimal': False, 'source_label': '1200.4.f.u.49.2', 'source_level': 1200, 'target_conrey_index': 271, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043470473462570, 'target_is_minimal': False, 'target_label': '810.4.e.m.271.1', 'target_level': 810, 'twist_class_label': '30.4.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '180.43', 'twisting_conrey_index': 43, 'weight': 4}
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id: 48363037
{'conductor': 180, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90072336211903664, 'source_is_minimal': False, 'source_label': '1200.4.f.u.49.2', 'source_level': 1200, 'target_conrey_index': 271, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014673454498602, 'target_is_minimal': False, 'target_label': '810.4.e.e.271.1', 'target_level': 810, 'twist_class_label': '30.4.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '180.83', 'twisting_conrey_index': 83, 'weight': 4}
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id: 48363038
{'conductor': 180, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90072336211903664, 'source_is_minimal': False, 'source_label': '1200.4.f.u.49.2', 'source_level': 1200, 'target_conrey_index': 541, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043470473462570, 'target_is_minimal': False, 'target_label': '810.4.e.m.541.1', 'target_level': 810, 'twist_class_label': '30.4.a.a.1.1', 'twist_class_level': 30, 'twisting_char_label': '180.103', 'twisting_conrey_index': 103, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1765225
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 90072336211903664, 'p': 2}
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id: 1765226
{'charpoly_factorization': [[[9, 0, 1], 1]], 'hecke_orbit_code': 90072336211903664, 'p': 3}
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id: 1765227
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 90072336211903664, 'p': 5}
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id: 1765228
{'charpoly_factorization': [[[1024, 0, 1], 1]], 'hecke_orbit_code': 90072336211903664, 'p': 7}
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id: 1765229
{'charpoly_factorization': [[[-60, 1], 2]], 'hecke_orbit_code': 90072336211903664, 'p': 11}
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id: 1765230
{'charpoly_factorization': [[[1156, 0, 1], 1]], 'hecke_orbit_code': 90072336211903664, 'p': 13}
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id: 1765231
{'charpoly_factorization': [[[1764, 0, 1], 1]], 'hecke_orbit_code': 90072336211903664, 'p': 17}
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id: 1765232
{'charpoly_factorization': [[[76, 1], 2]], 'hecke_orbit_code': 90072336211903664, 'p': 19}
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id: 1765233
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 90072336211903664, 'p': 23}
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id: 1765234
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 90072336211903664, 'p': 29}
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id: 1765235
{'charpoly_factorization': [[[-232, 1], 2]], 'hecke_orbit_code': 90072336211903664, 'p': 31}
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id: 1765236
{'charpoly_factorization': [[[17956, 0, 1], 1]], 'hecke_orbit_code': 90072336211903664, 'p': 37}
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id: 1765237
{'charpoly_factorization': [[[-234, 1], 2]], 'hecke_orbit_code': 90072336211903664, 'p': 41}
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id: 1765238
{'charpoly_factorization': [[[169744, 0, 1], 1]], 'hecke_orbit_code': 90072336211903664, 'p': 43}
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id: 1765239
{'charpoly_factorization': [[[129600, 0, 1], 1]], 'hecke_orbit_code': 90072336211903664, 'p': 47}
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id: 1765240
{'charpoly_factorization': [[[49284, 0, 1], 1]], 'hecke_orbit_code': 90072336211903664, 'p': 53}
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id: 1765241
{'charpoly_factorization': [[[-660, 1], 2]], 'hecke_orbit_code': 90072336211903664, 'p': 59}
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id: 1765242
{'charpoly_factorization': [[[490, 1], 2]], 'hecke_orbit_code': 90072336211903664, 'p': 61}
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id: 1765243
{'charpoly_factorization': [[[659344, 0, 1], 1]], 'hecke_orbit_code': 90072336211903664, 'p': 67}
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id: 1765244
{'charpoly_factorization': [[[120, 1], 2]], 'hecke_orbit_code': 90072336211903664, 'p': 71}
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id: 1765245
{'charpoly_factorization': [[[556516, 0, 1], 1]], 'hecke_orbit_code': 90072336211903664, 'p': 73}
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id: 1765246
{'charpoly_factorization': [[[-152, 1], 2]], 'hecke_orbit_code': 90072336211903664, 'p': 79}
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id: 1765247
{'charpoly_factorization': [[[646416, 0, 1], 1]], 'hecke_orbit_code': 90072336211903664, 'p': 83}
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id: 1765248
{'charpoly_factorization': [[[-678, 1], 2]], 'hecke_orbit_code': 90072336211903664, 'p': 89}
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id: 1765249
{'charpoly_factorization': [[[37636, 0, 1], 1]], 'hecke_orbit_code': 90072336211903664, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 6, 'hecke_orbit': 21, 'label': '1200.4.f.u', '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: 64758493
{'hecke_orbit_code': 90072336211903664, 'n': 1, 'trace_an': 2}
-
id: 64758494
{'hecke_orbit_code': 90072336211903664, 'n': 2, 'trace_an': 0}
-
id: 64758495
{'hecke_orbit_code': 90072336211903664, 'n': 3, 'trace_an': 0}
-
id: 64758496
{'hecke_orbit_code': 90072336211903664, 'n': 4, 'trace_an': 0}
-
id: 64758497
{'hecke_orbit_code': 90072336211903664, 'n': 5, 'trace_an': 0}
-
id: 64758498
{'hecke_orbit_code': 90072336211903664, 'n': 6, 'trace_an': 0}
-
id: 64758499
{'hecke_orbit_code': 90072336211903664, 'n': 7, 'trace_an': 0}
-
id: 64758500
{'hecke_orbit_code': 90072336211903664, 'n': 8, 'trace_an': 0}
-
id: 64758501
{'hecke_orbit_code': 90072336211903664, 'n': 9, 'trace_an': -18}
-
id: 64758502
{'hecke_orbit_code': 90072336211903664, 'n': 10, 'trace_an': 0}
-
id: 64758503
{'hecke_orbit_code': 90072336211903664, 'n': 11, 'trace_an': 120}
-
id: 64758504
{'hecke_orbit_code': 90072336211903664, 'n': 12, 'trace_an': 0}
-
id: 64758505
{'hecke_orbit_code': 90072336211903664, 'n': 13, 'trace_an': 0}
-
id: 64758506
{'hecke_orbit_code': 90072336211903664, 'n': 14, 'trace_an': 0}
-
id: 64758507
{'hecke_orbit_code': 90072336211903664, 'n': 15, 'trace_an': 0}
-
id: 64758508
{'hecke_orbit_code': 90072336211903664, 'n': 16, 'trace_an': 0}
-
id: 64758509
{'hecke_orbit_code': 90072336211903664, 'n': 17, 'trace_an': 0}
-
id: 64758510
{'hecke_orbit_code': 90072336211903664, 'n': 18, 'trace_an': 0}
-
id: 64758511
{'hecke_orbit_code': 90072336211903664, 'n': 19, 'trace_an': -152}
-
id: 64758512
{'hecke_orbit_code': 90072336211903664, 'n': 20, 'trace_an': 0}
-
id: 64758513
{'hecke_orbit_code': 90072336211903664, 'n': 21, 'trace_an': 192}
-
id: 64758514
{'hecke_orbit_code': 90072336211903664, 'n': 22, 'trace_an': 0}
-
id: 64758515
{'hecke_orbit_code': 90072336211903664, 'n': 23, 'trace_an': 0}
-
id: 64758516
{'hecke_orbit_code': 90072336211903664, 'n': 24, 'trace_an': 0}
-
id: 64758517
{'hecke_orbit_code': 90072336211903664, 'n': 25, 'trace_an': 0}
-
id: 64758518
{'hecke_orbit_code': 90072336211903664, 'n': 26, 'trace_an': 0}
-
id: 64758519
{'hecke_orbit_code': 90072336211903664, 'n': 27, 'trace_an': 0}
-
id: 64758520
{'hecke_orbit_code': 90072336211903664, 'n': 28, 'trace_an': 0}
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