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mf_newforms • Show schema
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{'Nk2': 7200, 'analytic_conductor': 14.373072363830468, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 24, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [1800, 2, [1351, 901, 1001, 577], [1, 1, 1, 2]], 'cm_discs': [], 'conrey_index': 251, 'dim': 16, 'field_disc': 53481632922583334649856, 'field_disc_factorization': [[2, 28], [13, 4], [17, 8]], 'field_poly': [1444, 0, -524, 0, 1625, 0, 610, 0, -40, 0, 16, 0, 28, 0, -6, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [8, 0, 10, 0, 1]], [23, [512, 0, -56, 0, 1]], [43, [1664, 0, -88, 0, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021666517255944, 'hecke_ring_generator_nbound': 29, 'hecke_ring_index': 4096, 'hecke_ring_index_factorization': [[2, 12]], 'hecke_ring_index_proved': True, 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mf_hecke_cc • Show schema
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-0.1713118432018717, -0.19342075812144538, 0.05429855738352737, 0.02145642580851105, -0.31253120411417157, -0.3636644903381457, -0.3953729103522167, 0.09850479318722725, 0.03675362306343761, -0.2719742774743896, 0.018690837003985557, -0.3005891157732937, 0.1579701882266447, -0.2841182296740159, -0.39903420763559244, -0.16298123262391595, 0.0875935822079135], 'char_orbit_index': 2, 'conrey_index': 251, 'dual_conrey_index': 251, 'dual_embedding_index': 12, 'dual_embedding_m': 12, 'embedding_index': 9, 'embedding_m': 9, 'embedding_root_imag': -1.493305668976641, 'embedding_root_real': -0.3284581132203469, 'hecke_orbit': 7, 'hecke_orbit_code': 27021666517255944, 'label': '1800.2.b.g.251.9', 'level': 1800, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 7200, 'analytic_conductor': 14.373072363830468, 'char_conductor': 24, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [1800, 2, [1351, 901, 1001, 577], [1, 1, 1, 2]], 'conrey_index': 251, 'cusp_dim': 336, 'dim': 76, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 23, 43], 'hecke_orbit_code': 68753032968, 'hecke_orbit_dims': [2, 2, 4, 6, 6, 8, 16, 16, 16], 'label': '1800.2.b', 'level': 1800, 'level_is_powerful': True, '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': 384, 'mf_new_dim': 76, 'num_forms': 9, 'prim_orbit_index': 6, 'relative_dim': 76, 'sturm_bound': 720, 'trace_bound': 22, 'trace_display': [0, 0, 0, 0], 'traces': [76, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 24, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -92, 0, 0, 32, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 56, 0, 0, -16, 0, 0, 0, 0, 0, -16, 0, 0, 24, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, -48, 0, 0, -92, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 16, 0, 0, 72, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 136, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 16, 0, 0, -52, 0, 0, 128, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 32, 0, 0, 16, 0, 0, 0, 0, 0, 40, 0, 0, -20, 0, 0, 0, 0, 0, -132, 0, 0, 0, 0, 0, 88, 0, 0, -80, 0, 0, -96, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, -124, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, -88, 0, 0, 16, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 104, 0, 0, 32, 0, 0, 128, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 340, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, -200, 0, 0, -140, 0, 0, 232, 0, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, 32, 0, 0, -144, 0, 0, 0, 0, 0, -56, 0, 0, -120, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 152, 0, 0, 208, 0, 0, -112, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, -116, 0, 0, 0, 0, 0, -208, 0, 0, 0, 0, 0, 32, 0, 0, -4, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 208, 0, 0, 208, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, 0, 208, 0, 0, 48, 0, 0, -160, 0, 0, 184, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, -80, 0, 0, -240, 0, 0, -120, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 212, 0, 0, 0, 0, 0, -176, 0, 0, 0, 0, 0, -96, 0, 0, -64, 0, 0, -220, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 32, 0, 0, 136, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 268, 0, 0, 0, 0, 0, 0, 0, 0, -272, 0, 0, 240, 0, 0, 12, 0, 0, 208, 0, 0, 0, 0, 0, -92, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 112, 0, 0, -288, 0, 0, 0, 0, 0, -300, 0, 0, 0, 0, 0, 160, 0, 0, -32, 0, 0, -344, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 260, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -208, 0, 0, 72, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 240, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, -72, 0, 0, 192, 0, 0, 224, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 288, 0, 0, 304, 0, 0, 0, 0, 0, -24, 0, 0, 356, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 128, 0, 0, -320, 0, 0, 240, 0, 0, 136, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -232, 0, 0, 0, 0, 0, 152, 0, 0, 16, 0, 0, -592, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 512, 0, 0, 320, 0, 0, 232, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, -336, 0, 0, -240, 0, 0, 216, 0, 0, -16, 0, 0, 0, 0, 0, 220, 0, 0, 0, 0, 0, 176, 0, 0, -144, 0, 0, 0, 0, 0, -64, 0, 0, 448, 0, 0, 0, 0, 0, -148, 0, 0, 0, 0, 0, -184, 0, 0, 432, 0, 0, -272, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -248, 0, 0, 0, 0, 0, -216, 0, 0, 108, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 352, 0, 0, 72, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, 0, 0, 0, 448, 0, 0, -136, 0, 0, -176, 0, 0, 184, 0, 0, 0, 0, 0, -220, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, -224, 0, 0, 0, 0, 0, -172, 0, 0, 0, 0, 0, 104, 0, 0, -464, 0, 0, -288, 0, 0, -296, 0, 0, 0, 0, 0, 0, 0, 0, -488, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, -248, 0, 0, -188, 0, 0, -280, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, -624, 0, 0, 160, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 45707115
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 251, 'source_dim': 16, 'source_embedding_index': 9, 'source_hecke_orbit_code': 27021666517255944, 'source_is_minimal': False, 'source_label': '1800.2.b.g.251.9', 'source_level': 1800, 'target_conrey_index': 251, 'target_dim': 16, 'target_embedding_index': 9, 'target_hecke_orbit_code': 27021666517255944, 'target_is_minimal': False, 'target_label': '1800.2.b.g.251.9', 'target_level': 1800, 'twist_class_label': '360.2.m.c.179.1', 'twist_class_level': 360, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45707116
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 251, 'source_dim': 16, 'source_embedding_index': 9, 'source_hecke_orbit_code': 27021666517255944, 'source_is_minimal': False, 'source_label': '1800.2.b.g.251.9', 'source_level': 1800, 'target_conrey_index': 251, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 27021666517255944, 'target_is_minimal': False, 'target_label': '1800.2.b.g.251.7', 'target_level': 1800, 'twist_class_label': '360.2.m.c.179.1', 'twist_class_level': 360, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45707117
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 251, 'source_dim': 16, 'source_embedding_index': 9, 'source_hecke_orbit_code': 27021666517255944, 'source_is_minimal': False, 'source_label': '1800.2.b.g.251.9', 'source_level': 1800, 'target_conrey_index': 4751, 'target_dim': 16, 'target_embedding_index': 9, 'target_hecke_orbit_code': 36028865772002336, 'target_is_minimal': False, 'target_label': '7200.2.b.i.4751.9', 'target_level': 7200, 'twist_class_label': '360.2.m.c.179.1', 'twist_class_level': 360, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45707118
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 251, 'source_dim': 16, 'source_embedding_index': 9, 'source_hecke_orbit_code': 27021666517255944, 'source_is_minimal': False, 'source_label': '1800.2.b.g.251.9', 'source_level': 1800, 'target_conrey_index': 179, 'target_dim': 16, 'target_embedding_index': 15, 'target_hecke_orbit_code': 9008023922016616, 'target_is_minimal': True, 'target_label': '360.2.m.c.179.15', 'target_level': 360, 'twist_class_label': '360.2.m.c.179.1', 'twist_class_level': 360, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45707119
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 251, 'source_dim': 16, 'source_embedding_index': 9, 'source_hecke_orbit_code': 27021666517255944, 'source_is_minimal': False, 'source_label': '1800.2.b.g.251.9', 'source_level': 1800, 'target_conrey_index': 179, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008023922016616, 'target_is_minimal': True, 'target_label': '360.2.m.c.179.1', 'target_level': 360, 'twist_class_label': '360.2.m.c.179.1', 'twist_class_level': 360, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45707120
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 251, 'source_dim': 16, 'source_embedding_index': 9, 'source_hecke_orbit_code': 27021666517255944, 'source_is_minimal': False, 'source_label': '1800.2.b.g.251.9', 'source_level': 1800, 'target_conrey_index': 251, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 27021666517255944, 'target_is_minimal': False, 'target_label': '1800.2.b.g.251.8', 'target_level': 1800, 'twist_class_label': '360.2.m.c.179.1', 'twist_class_level': 360, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 45707121
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 251, 'source_dim': 16, 'source_embedding_index': 9, 'source_hecke_orbit_code': 27021666517255944, 'source_is_minimal': False, 'source_label': '1800.2.b.g.251.9', 'source_level': 1800, 'target_conrey_index': 251, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 27021666517255944, 'target_is_minimal': False, 'target_label': '1800.2.b.g.251.6', 'target_level': 1800, 'twist_class_label': '360.2.m.c.179.1', 'twist_class_level': 360, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45707122
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 251, 'source_dim': 16, 'source_embedding_index': 9, 'source_hecke_orbit_code': 27021666517255944, 'source_is_minimal': False, 'source_label': '1800.2.b.g.251.9', 'source_level': 1800, 'target_conrey_index': 4751, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 36028865772002336, 'target_is_minimal': False, 'target_label': '7200.2.b.i.4751.5', 'target_level': 7200, 'twist_class_label': '360.2.m.c.179.1', 'twist_class_level': 360, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45707123
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 251, 'source_dim': 16, 'source_embedding_index': 9, 'source_hecke_orbit_code': 27021666517255944, 'source_is_minimal': False, 'source_label': '1800.2.b.g.251.9', 'source_level': 1800, 'target_conrey_index': 4751, 'target_dim': 16, 'target_embedding_index': 12, 'target_hecke_orbit_code': 36028865772002336, 'target_is_minimal': False, 'target_label': '7200.2.b.i.4751.12', 'target_level': 7200, 'twist_class_label': '360.2.m.c.179.1', 'twist_class_level': 360, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 45707124
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 251, 'source_dim': 16, 'source_embedding_index': 9, 'source_hecke_orbit_code': 27021666517255944, 'source_is_minimal': False, 'source_label': '1800.2.b.g.251.9', 'source_level': 1800, 'target_conrey_index': 179, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008023922016616, 'target_is_minimal': True, 'target_label': '360.2.m.c.179.2', 'target_level': 360, 'twist_class_label': '360.2.m.c.179.1', 'twist_class_level': 360, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45707125
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 251, 'source_dim': 16, 'source_embedding_index': 9, 'source_hecke_orbit_code': 27021666517255944, 'source_is_minimal': False, 'source_label': '1800.2.b.g.251.9', 'source_level': 1800, 'target_conrey_index': 179, 'target_dim': 16, 'target_embedding_index': 16, 'target_hecke_orbit_code': 9008023922016616, 'target_is_minimal': True, 'target_label': '360.2.m.c.179.16', 'target_level': 360, 'twist_class_label': '360.2.m.c.179.1', 'twist_class_level': 360, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 45707126
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 251, 'source_dim': 16, 'source_embedding_index': 9, 'source_hecke_orbit_code': 27021666517255944, 'source_is_minimal': False, 'source_label': '1800.2.b.g.251.9', 'source_level': 1800, 'target_conrey_index': 251, 'target_dim': 16, 'target_embedding_index': 10, 'target_hecke_orbit_code': 27021666517255944, 'target_is_minimal': False, 'target_label': '1800.2.b.g.251.10', 'target_level': 1800, 'twist_class_label': '360.2.m.c.179.1', 'twist_class_level': 360, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 45707127
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 251, 'source_dim': 16, 'source_embedding_index': 9, 'source_hecke_orbit_code': 27021666517255944, 'source_is_minimal': False, 'source_label': '1800.2.b.g.251.9', 'source_level': 1800, 'target_conrey_index': 719, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 9008023922017696, 'target_is_minimal': False, 'target_label': '1440.2.m.c.719.6', 'target_level': 1440, 'twist_class_label': '360.2.m.c.179.1', 'twist_class_level': 360, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45707128
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 251, 'source_dim': 16, 'source_embedding_index': 9, 'source_hecke_orbit_code': 27021666517255944, 'source_is_minimal': False, 'source_label': '1800.2.b.g.251.9', 'source_level': 1800, 'target_conrey_index': 719, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 9008023922017696, 'target_is_minimal': False, 'target_label': '1440.2.m.c.719.7', 'target_level': 1440, 'twist_class_label': '360.2.m.c.179.1', 'twist_class_level': 360, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 45707129
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 251, 'source_dim': 16, 'source_embedding_index': 9, 'source_hecke_orbit_code': 27021666517255944, 'source_is_minimal': False, 'source_label': '1800.2.b.g.251.9', 'source_level': 1800, 'target_conrey_index': 4751, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 36028865772002336, 'target_is_minimal': False, 'target_label': '7200.2.b.i.4751.6', 'target_level': 7200, 'twist_class_label': '360.2.m.c.179.1', 'twist_class_level': 360, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 45707130
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 251, 'source_dim': 16, 'source_embedding_index': 9, 'source_hecke_orbit_code': 27021666517255944, 'source_is_minimal': False, 'source_label': '1800.2.b.g.251.9', 'source_level': 1800, 'target_conrey_index': 4751, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 36028865772002336, 'target_is_minimal': False, 'target_label': '7200.2.b.i.4751.8', 'target_level': 7200, 'twist_class_label': '360.2.m.c.179.1', 'twist_class_level': 360, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45707131
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 251, 'source_dim': 16, 'source_embedding_index': 9, 'source_hecke_orbit_code': 27021666517255944, 'source_is_minimal': False, 'source_label': '1800.2.b.g.251.9', 'source_level': 1800, 'target_conrey_index': 251, 'target_dim': 16, 'target_embedding_index': 12, 'target_hecke_orbit_code': 27021666517255944, 'target_is_minimal': False, 'target_label': '1800.2.b.g.251.12', 'target_level': 1800, 'twist_class_label': '360.2.m.c.179.1', 'twist_class_level': 360, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 45707132
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 251, 'source_dim': 16, 'source_embedding_index': 9, 'source_hecke_orbit_code': 27021666517255944, 'source_is_minimal': False, 'source_label': '1800.2.b.g.251.9', 'source_level': 1800, 'target_conrey_index': 179, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9008023922016616, 'target_is_minimal': True, 'target_label': '360.2.m.c.179.4', 'target_level': 360, 'twist_class_label': '360.2.m.c.179.1', 'twist_class_level': 360, 'twisting_char_label': '40.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45707133
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 251, 'source_dim': 16, 'source_embedding_index': 9, 'source_hecke_orbit_code': 27021666517255944, 'source_is_minimal': False, 'source_label': '1800.2.b.g.251.9', 'source_level': 1800, 'target_conrey_index': 719, 'target_dim': 16, 'target_embedding_index': 11, 'target_hecke_orbit_code': 9008023922017696, 'target_is_minimal': False, 'target_label': '1440.2.m.c.719.11', 'target_level': 1440, 'twist_class_label': '360.2.m.c.179.1', 'twist_class_level': 360, 'twisting_char_label': '40.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 45707134
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 251, 'source_dim': 16, 'source_embedding_index': 9, 'source_hecke_orbit_code': 27021666517255944, 'source_is_minimal': False, 'source_label': '1800.2.b.g.251.9', 'source_level': 1800, 'target_conrey_index': 251, 'target_dim': 16, 'target_embedding_index': 11, 'target_hecke_orbit_code': 27021666517255944, 'target_is_minimal': False, 'target_label': '1800.2.b.g.251.11', 'target_level': 1800, 'twist_class_label': '360.2.m.c.179.1', 'twist_class_level': 360, 'twisting_char_label': '40.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 45707135
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 251, 'source_dim': 16, 'source_embedding_index': 9, 'source_hecke_orbit_code': 27021666517255944, 'source_is_minimal': False, 'source_label': '1800.2.b.g.251.9', 'source_level': 1800, 'target_conrey_index': 179, 'target_dim': 16, 'target_embedding_index': 14, 'target_hecke_orbit_code': 9008023922016616, 'target_is_minimal': True, 'target_label': '360.2.m.c.179.14', 'target_level': 360, 'twist_class_label': '360.2.m.c.179.1', 'twist_class_level': 360, 'twisting_char_label': '40.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 45707136
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 251, 'source_dim': 16, 'source_embedding_index': 9, 'source_hecke_orbit_code': 27021666517255944, 'source_is_minimal': False, 'source_label': '1800.2.b.g.251.9', 'source_level': 1800, 'target_conrey_index': 4751, 'target_dim': 16, 'target_embedding_index': 10, 'target_hecke_orbit_code': 36028865772002336, 'target_is_minimal': False, 'target_label': '7200.2.b.i.4751.10', 'target_level': 7200, 'twist_class_label': '360.2.m.c.179.1', 'twist_class_level': 360, 'twisting_char_label': '40.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 45707137
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 251, 'source_dim': 16, 'source_embedding_index': 9, 'source_hecke_orbit_code': 27021666517255944, 'source_is_minimal': False, 'source_label': '1800.2.b.g.251.9', 'source_level': 1800, 'target_conrey_index': 719, 'target_dim': 16, 'target_embedding_index': 10, 'target_hecke_orbit_code': 9008023922017696, 'target_is_minimal': False, 'target_label': '1440.2.m.c.719.10', 'target_level': 1440, 'twist_class_label': '360.2.m.c.179.1', 'twist_class_level': 360, 'twisting_char_label': '40.37', 'twisting_conrey_index': 37, 'weight': 2}
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id: 45707138
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 251, 'source_dim': 16, 'source_embedding_index': 9, 'source_hecke_orbit_code': 27021666517255944, 'source_is_minimal': False, 'source_label': '1800.2.b.g.251.9', 'source_level': 1800, 'target_conrey_index': 719, 'target_dim': 16, 'target_embedding_index': 12, 'target_hecke_orbit_code': 9008023922017696, 'target_is_minimal': False, 'target_label': '1440.2.m.c.719.12', 'target_level': 1440, 'twist_class_label': '360.2.m.c.179.1', 'twist_class_level': 360, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 45707139
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 251, 'source_dim': 16, 'source_embedding_index': 9, 'source_hecke_orbit_code': 27021666517255944, 'source_is_minimal': False, 'source_label': '1800.2.b.g.251.9', 'source_level': 1800, 'target_conrey_index': 719, 'target_dim': 16, 'target_embedding_index': 9, 'target_hecke_orbit_code': 9008023922017696, 'target_is_minimal': False, 'target_label': '1440.2.m.c.719.9', 'target_level': 1440, 'twist_class_label': '360.2.m.c.179.1', 'twist_class_level': 360, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 45707140
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 251, 'source_dim': 16, 'source_embedding_index': 9, 'source_hecke_orbit_code': 27021666517255944, 'source_is_minimal': False, 'source_label': '1800.2.b.g.251.9', 'source_level': 1800, 'target_conrey_index': 4751, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 36028865772002336, 'target_is_minimal': False, 'target_label': '7200.2.b.i.4751.7', 'target_level': 7200, 'twist_class_label': '360.2.m.c.179.1', 'twist_class_level': 360, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 45707141
{'conductor': 120, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 251, 'source_dim': 16, 'source_embedding_index': 9, 'source_hecke_orbit_code': 27021666517255944, 'source_is_minimal': False, 'source_label': '1800.2.b.g.251.9', 'source_level': 1800, 'target_conrey_index': 4751, 'target_dim': 16, 'target_embedding_index': 11, 'target_hecke_orbit_code': 36028865772002336, 'target_is_minimal': False, 'target_label': '7200.2.b.i.4751.11', 'target_level': 7200, 'twist_class_label': '360.2.m.c.179.1', 'twist_class_level': 360, 'twisting_char_label': '120.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 45707142
{'conductor': 120, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 251, 'source_dim': 16, 'source_embedding_index': 9, 'source_hecke_orbit_code': 27021666517255944, 'source_is_minimal': False, 'source_label': '1800.2.b.g.251.9', 'source_level': 1800, 'target_conrey_index': 719, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9008023922017696, 'target_is_minimal': False, 'target_label': '1440.2.m.c.719.5', 'target_level': 1440, 'twist_class_label': '360.2.m.c.179.1', 'twist_class_level': 360, 'twisting_char_label': '120.53', 'twisting_conrey_index': 53, 'weight': 2}
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id: 45707143
{'conductor': 120, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 251, 'source_dim': 16, 'source_embedding_index': 9, 'source_hecke_orbit_code': 27021666517255944, 'source_is_minimal': False, 'source_label': '1800.2.b.g.251.9', 'source_level': 1800, 'target_conrey_index': 251, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 27021666517255944, 'target_is_minimal': False, 'target_label': '1800.2.b.g.251.5', 'target_level': 1800, 'twist_class_label': '360.2.m.c.179.1', 'twist_class_level': 360, 'twisting_char_label': '120.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 45707144
{'conductor': 120, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 251, 'source_dim': 16, 'source_embedding_index': 9, 'source_hecke_orbit_code': 27021666517255944, 'source_is_minimal': False, 'source_label': '1800.2.b.g.251.9', 'source_level': 1800, 'target_conrey_index': 719, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 9008023922017696, 'target_is_minimal': False, 'target_label': '1440.2.m.c.719.8', 'target_level': 1440, 'twist_class_label': '360.2.m.c.179.1', 'twist_class_level': 360, 'twisting_char_label': '120.77', 'twisting_conrey_index': 77, 'weight': 2}
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id: 45707145
{'conductor': 120, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 251, 'source_dim': 16, 'source_embedding_index': 9, 'source_hecke_orbit_code': 27021666517255944, 'source_is_minimal': False, 'source_label': '1800.2.b.g.251.9', 'source_level': 1800, 'target_conrey_index': 179, 'target_dim': 16, 'target_embedding_index': 13, 'target_hecke_orbit_code': 9008023922016616, 'target_is_minimal': True, 'target_label': '360.2.m.c.179.13', 'target_level': 360, 'twist_class_label': '360.2.m.c.179.1', 'twist_class_level': 360, 'twisting_char_label': '120.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 45707146
{'conductor': 120, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 251, 'source_dim': 16, 'source_embedding_index': 9, 'source_hecke_orbit_code': 27021666517255944, 'source_is_minimal': False, 'source_label': '1800.2.b.g.251.9', 'source_level': 1800, 'target_conrey_index': 179, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9008023922016616, 'target_is_minimal': True, 'target_label': '360.2.m.c.179.3', 'target_level': 360, 'twist_class_label': '360.2.m.c.179.1', 'twist_class_level': 360, 'twisting_char_label': '120.107', 'twisting_conrey_index': 107, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2216100
{'charpoly_factorization': [[[16, 0, 12, 0, 6, 0, 3, 0, 1], 2]], 'hecke_orbit_code': 27021666517255944, 'p': 2}
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id: 2216101
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 27021666517255944, 'p': 3}
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id: 2216102
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 27021666517255944, 'p': 5}
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id: 2216103
{'charpoly_factorization': [[[8, 0, 10, 0, 1], 4]], 'hecke_orbit_code': 27021666517255944, 'p': 7}
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id: 2216104
{'charpoly_factorization': [[[64, 0, 18, 0, 1], 4]], 'hecke_orbit_code': 27021666517255944, 'p': 11}
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id: 2216105
{'charpoly_factorization': [[[32, 0, 14, 0, 1], 4]], 'hecke_orbit_code': 27021666517255944, 'p': 13}
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id: 2216106
{'charpoly_factorization': [[[104, 0, 46, 0, 1], 4]], 'hecke_orbit_code': 27021666517255944, 'p': 17}
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id: 2216107
{'charpoly_factorization': [[[-16, 2, 1], 8]], 'hecke_orbit_code': 27021666517255944, 'p': 19}
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id: 2216108
{'charpoly_factorization': [[[512, 0, -56, 0, 1], 4]], 'hecke_orbit_code': 27021666517255944, 'p': 23}
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id: 2216109
{'charpoly_factorization': [[[3328, 0, -118, 0, 1], 4]], 'hecke_orbit_code': 27021666517255944, 'p': 29}
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id: 2216110
{'charpoly_factorization': [[[208, 0, 72, 0, 1], 4]], 'hecke_orbit_code': 27021666517255944, 'p': 31}
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id: 2216111
{'charpoly_factorization': [[[8, 0, 58, 0, 1], 4]], 'hecke_orbit_code': 27021666517255944, 'p': 37}
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id: 2216112
{'charpoly_factorization': [[[34, 0, 1], 8]], 'hecke_orbit_code': 27021666517255944, 'p': 41}
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id: 2216113
{'charpoly_factorization': [[[1664, 0, -88, 0, 1], 4]], 'hecke_orbit_code': 27021666517255944, 'p': 43}
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id: 2216114
{'charpoly_factorization': [[[32, 0, -116, 0, 1], 4]], 'hecke_orbit_code': 27021666517255944, 'p': 47}
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id: 2216115
{'charpoly_factorization': [[[2592, 0, -126, 0, 1], 4]], 'hecke_orbit_code': 27021666517255944, 'p': 53}
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id: 2216116
{'charpoly_factorization': [[[2704, 0, 138, 0, 1], 4]], 'hecke_orbit_code': 27021666517255944, 'p': 59}
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id: 2216117
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 27021666517255944, 'p': 61}
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id: 2216118
{'charpoly_factorization': [[[26624, 0, -328, 0, 1], 4]], 'hecke_orbit_code': 27021666517255944, 'p': 67}
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id: 2216119
{'charpoly_factorization': [[[832, 0, -144, 0, 1], 4]], 'hecke_orbit_code': 27021666517255944, 'p': 71}
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id: 2216120
{'charpoly_factorization': [[[6656, 0, -244, 0, 1], 4]], 'hecke_orbit_code': 27021666517255944, 'p': 73}
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id: 2216121
{'charpoly_factorization': [[[208, 0, 200, 0, 1], 4]], 'hecke_orbit_code': 27021666517255944, 'p': 79}
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id: 2216122
{'charpoly_factorization': [[[6656, 0, 232, 0, 1], 4]], 'hecke_orbit_code': 27021666517255944, 'p': 83}
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id: 2216123
{'charpoly_factorization': [[[17956, 0, 276, 0, 1], 4]], 'hecke_orbit_code': 27021666517255944, 'p': 89}
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id: 2216124
{'charpoly_factorization': [[[416, 0, -92, 0, 1], 4]], 'hecke_orbit_code': 27021666517255944, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 2, 'hecke_orbit': 7, 'label': '1800.2.b.g', 'level': 1800, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 47076979
{'hecke_orbit_code': 27021666517255944, 'n': 1, 'trace_an': 16}
-
id: 47076980
{'hecke_orbit_code': 27021666517255944, 'n': 2, 'trace_an': 0}
-
id: 47076981
{'hecke_orbit_code': 27021666517255944, 'n': 3, 'trace_an': 0}
-
id: 47076982
{'hecke_orbit_code': 27021666517255944, 'n': 4, 'trace_an': -12}
-
id: 47076983
{'hecke_orbit_code': 27021666517255944, 'n': 5, 'trace_an': 0}
-
id: 47076984
{'hecke_orbit_code': 27021666517255944, 'n': 6, 'trace_an': 0}
-
id: 47076985
{'hecke_orbit_code': 27021666517255944, 'n': 7, 'trace_an': 0}
-
id: 47076986
{'hecke_orbit_code': 27021666517255944, 'n': 8, 'trace_an': 0}
-
id: 47076987
{'hecke_orbit_code': 27021666517255944, 'n': 9, 'trace_an': 0}
-
id: 47076988
{'hecke_orbit_code': 27021666517255944, 'n': 10, 'trace_an': 0}
-
id: 47076989
{'hecke_orbit_code': 27021666517255944, 'n': 11, 'trace_an': 0}
-
id: 47076990
{'hecke_orbit_code': 27021666517255944, 'n': 12, 'trace_an': 0}
-
id: 47076991
{'hecke_orbit_code': 27021666517255944, 'n': 13, 'trace_an': 0}
-
id: 47076992
{'hecke_orbit_code': 27021666517255944, 'n': 14, 'trace_an': 0}
-
id: 47076993
{'hecke_orbit_code': 27021666517255944, 'n': 15, 'trace_an': 0}
-
id: 47076994
{'hecke_orbit_code': 27021666517255944, 'n': 16, 'trace_an': -12}
-
id: 47076995
{'hecke_orbit_code': 27021666517255944, 'n': 17, 'trace_an': 0}
-
id: 47076996
{'hecke_orbit_code': 27021666517255944, 'n': 18, 'trace_an': 0}
-
id: 47076997
{'hecke_orbit_code': 27021666517255944, 'n': 19, 'trace_an': -16}
-
id: 47076998
{'hecke_orbit_code': 27021666517255944, 'n': 20, 'trace_an': 0}
-
id: 47076999
{'hecke_orbit_code': 27021666517255944, 'n': 21, 'trace_an': 0}
-
id: 47077000
{'hecke_orbit_code': 27021666517255944, 'n': 22, 'trace_an': 0}
-
id: 47077001
{'hecke_orbit_code': 27021666517255944, 'n': 23, 'trace_an': 0}
-
id: 47077002
{'hecke_orbit_code': 27021666517255944, 'n': 24, 'trace_an': 0}
-
id: 47077003
{'hecke_orbit_code': 27021666517255944, 'n': 25, 'trace_an': 0}
-
id: 47077004
{'hecke_orbit_code': 27021666517255944, 'n': 26, 'trace_an': 0}
-
id: 47077005
{'hecke_orbit_code': 27021666517255944, 'n': 27, 'trace_an': 0}
-
id: 47077006
{'hecke_orbit_code': 27021666517255944, 'n': 28, 'trace_an': 0}
-
id: 47077007
{'hecke_orbit_code': 27021666517255944, 'n': 29, 'trace_an': 0}
-
id: 47077008
{'hecke_orbit_code': 27021666517255944, 'n': 30, 'trace_an': 0}
-
id: 47077009
{'hecke_orbit_code': 27021666517255944, 'n': 31, 'trace_an': 0}
-
id: 47077010
{'hecke_orbit_code': 27021666517255944, 'n': 32, 'trace_an': 0}
-
id: 47077011
{'hecke_orbit_code': 27021666517255944, 'n': 33, 'trace_an': 0}
-
id: 47077012
{'hecke_orbit_code': 27021666517255944, 'n': 34, 'trace_an': 32}
-
id: 47077013
{'hecke_orbit_code': 27021666517255944, 'n': 35, 'trace_an': 0}
-
id: 47077014
{'hecke_orbit_code': 27021666517255944, 'n': 36, 'trace_an': 0}
-
id: 47077015
{'hecke_orbit_code': 27021666517255944, 'n': 37, 'trace_an': 0}
-
id: 47077016
{'hecke_orbit_code': 27021666517255944, 'n': 38, 'trace_an': 0}
-
id: 47077017
{'hecke_orbit_code': 27021666517255944, 'n': 39, 'trace_an': 0}
-
id: 47077018
{'hecke_orbit_code': 27021666517255944, 'n': 40, 'trace_an': 0}
-
id: 47077019
{'hecke_orbit_code': 27021666517255944, 'n': 41, 'trace_an': 0}
-
id: 47077020
{'hecke_orbit_code': 27021666517255944, 'n': 42, 'trace_an': 0}
-
id: 47077021
{'hecke_orbit_code': 27021666517255944, 'n': 43, 'trace_an': 0}
-
id: 47077022
{'hecke_orbit_code': 27021666517255944, 'n': 44, 'trace_an': 0}
-
id: 47077023
{'hecke_orbit_code': 27021666517255944, 'n': 45, 'trace_an': 0}
-
id: 47077024
{'hecke_orbit_code': 27021666517255944, 'n': 46, 'trace_an': -48}
-
id: 47077025
{'hecke_orbit_code': 27021666517255944, 'n': 47, 'trace_an': 0}
-
id: 47077026
{'hecke_orbit_code': 27021666517255944, 'n': 48, 'trace_an': 0}
-
id: 47077027
{'hecke_orbit_code': 27021666517255944, 'n': 49, 'trace_an': 32}
-
id: 47077028
{'hecke_orbit_code': 27021666517255944, 'n': 50, 'trace_an': 0}
-
id: 47077029
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id: 47077235
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