-
mf_newforms • Show schema
{'Nk2': 5400, 'analytic_conductor': 10.779804272872852, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 45, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 12, 'char_parity': 1, 'char_values': [1350, 12, [1001, 1027], [2, 9]], 'cm_discs': [], 'conrey_index': 143, 'dim': 8, 'field_disc': 5308416, 'field_disc_factorization': [[2, 16], [3, 4]], 'field_poly': [1, 0, 0, 0, -1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 24, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [625, -1000, 800, -880, 679, -176, 32, -8, 1]], [11, [16, -48, 52, -12, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27022697309406534, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 3, -1, 4, 0], [1, 1, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
{'Nk2': 5400, 'analytic_conductor': 10.779804272872852, 'char_conductor': 45, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 12, 'char_parity': 1, 'char_values': [1350, 12, [1001, 1027], [2, 9]], 'conrey_index': 143, 'cusp_dim': 936, 'dim': 72, 'eis_dim': 288, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 1099545183558, 'hecke_orbit_dims': [8, 8, 8, 8, 8, 8, 8, 16], 'label': '1350.2.q', 'level': 1350, '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': 1224, 'mf_new_dim': 72, 'num_forms': 8, 'prim_orbit_index': 12, 'relative_dim': 18, 'sturm_bound': 540, 'trace_bound': 31, 'trace_display': [0, 0, 0, 0], 'traces': [72, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 36, 0, 0, 72, 0, 0, 0, 0, 48, 48, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, -12, 0, 0, 24, 0, 0, 0, 0, 0, 12, -36, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 48, 60, 0, 0, 36, 0, 0, 0, 0, -96, -24, 0, 0, 0, 0, 36, 0, 0, 0, -96, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, -24, 0, 0, -12, 60, 0, 0, 0, 0, -96, 0, 0, 0, 144, 0, -36, 0, 0, 0, 24, 0, 0, 0, 0, -24, 0, 0, 0, 144, 0, -12, 0, 0, -48, 0, 0, 0, 0, 0, -36, -60, 0, 0, 0, 0, -48, 0, 0, 24, -72, 0, 0, 0, 0, 0, -72, 0, 0, -48, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, -24, 0, 0, 0, -192, 0, -24, 0, 0, -12, 0, 0, 0, 0, 0, 24, 12, 0, 0, 0, 0, 0, 0, 0, 24, 12, 0, 0, 0, 0, 24, 60, 0, 0, -384, 0, 96, 0, 0, 0, 168, 0, 0, 0, 0, 12, 0, 0, 0, -36, 0, 60, 0, 0, -48, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 96, 0, 0, -36, -60, 0, 0, 0, 0, -72, -24, 0, 0, -240, 0, 12, 0, 0, -96, -36, 0, 0, 0, 0, -60, 0, 0, 0, -24, 0, -36, 0, 0, -48, 0, 0, 0, 0, 0, 0, 228, 0, 0, 0, 0, 72, 0, 0, 24, 120, 0, 0, 0, 0, 120, 48, 0, 0, 312, 0, -72, 0, 0, 96, 0, 0, 0, 0, 0, 24, 0, 0, 0, 240, 0, -24, 0, 0, 48, 0, 0, 0, 0, 0, 48, -24, 0, 0, 0, 0, 96, 0, 0, 0, -96, 0, 0, 0, 0, 0, -240, 0, 0, -24, 0, -24, 0, 0, -264, -132, 0, 0, 0, 0, 48, 0, 0, 0, 552, 0, 36, 0, 0, -24, 0, 0, 0, 0, 0, -12, 24, 0, 0, 0, 0, -72, 0, 0, -144, 72, 0, 0, 0, 0, -216, 36, 0, 0, 0, 0, -24, 0, 0, -336, -24, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -48, 0, 0, -192, 0, 0, 0, 0, 0, -156, -108, 0, 0, 0, 0, -168, 0, 0, 24, 12, 0, 0, 0, 0, -48, -12, 0, 0, -168, 0, 0, 0, 0, 120, -24, 0, 0, 0, 0, -36, 0, 0, 0, -120, 0, 48, 0, 0, 12, 0, 0, 0, 0, 0, -12, 168, 0, 0, 0, 0, 48, 0, 0, 192, 144, 0, 0, 0, 0, 192, -60, 0, 0, 444, 0, 84, 0, 0, 0, -48, 0, 0, 0, 0, 84, 0, 0, 0, 144, 0, 48, 0, 0, 72, 0, 0, 0, 0, 0, 120, -12, 0, 0, 0, 0, -24, 0, 0, -96, -24, 0, 0, 0, 0, -72, -168, 0, 0, 96, 0, 60, 0, 0, 48, -84, 0, 0, 0, 0, -36, 0, 0, 0, -144, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 48, 0, 0, -180, 24, 0, 0, 0, 0, 168, 48, 0, 0, -168, 0, -48, 0, 0, 192, 156, 0, 0, 0, 0, 12, 0, 0, 0, -72, 0, -48, 0, 0, 240, 0, 0, 0, 0, 0, 168, 36, 0, 0, 0, 0, 168, 0, 0, 0, 72, 0, 0, 0, 0, 168, 168, 0, 0, -84, 0, -36, 0, 0, 480, -60, 0, 0, 0, 0, 72, 0, 0, 0, -396, 0, -84, 0, 0, 36, 0, 0, 0, 0, 0, -24, 36, 0, 0, 0, 0, -192, 0, 0, 264, 60, 0, 0, 0, 0, -168, 72, 0, 0, -600, 0, -48, 0, 0, -120, -48, 0, 0, 0, 0, -144, 0, 0, 0, -672, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, -132, -108, 0, 0, 0, 0, -288, 0, 0, 132, -192, 0, 0, 0, 0, 0, -228, 0, 0, -216, 0, -12, 0, 0, 624, 24, 0, 0, 0, 0, 72, 0, 0, 0, -672, 0, -12, 0, 0, 24, 0, 0, 0, 0, 0, -36, -288, 0, 0, 0, 0, 48, 0, 0, 168, 48, 0, 0, 0, 0, -96, -12, 0, 0, 720, 0, 84, 0, 0, 288, 0, 0, 0, 0, 0, 24, 0, 0, 0, 228, 0, 156, 0, 0, 144, 0, 0, 0, 0, 0, 24, -24, 0, 0, 0, 0, -96, 0, 0, 24, 72, 0, 0, 0, 0, -96, 144, 0, 0, 96, 0, 24, 0, 0, -120, 12, 0, 0, 0, 0, -96, 0, 0, 0, 1056, 0, -72, 0, 0, -192, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 144, 0, 0, -396, -72, 0, 0, 0, 0, 96, -12, 0, 0, 24, 0, -96, 0, 0, -48, 24, 0, 0, 0, 0, 60, 0, 0, 0, 144, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 72, 48, 0, 0, 0, 0, 264, 0, 0, -24, -24, 0, 0, 0, 0, 192, 60, 0, 0, 24, 0, -144, 0, 0, -384, 48, 0, 0, 0, 0, 84, 0, 0, 0, -192, 0, -48, 0, 0, -24, 0, 0, 0, 0, 0, -36, -96, 0, 0, 0, 0, -24, 0, 0, -408, -156, 0, 0, 0, 0, 48, -36, 0, 0, 408, 0, -24, 0, 0, -288, 348, 0, 0, 0, 0, -60, 0, 0, 0, 96, 0, -84, 0, 0, -444, 0, 0, 0, 0, 0, -144, 120, 0, 0, 0, 0, -144, 0, 0, -24, 168, 0, 0, 0, 0, -96, 360, 0, 0, 792, 0, 0, 0, 0, 192, 36, 0, 0, 0, 0, -12, 0, 0, 0], 'weight': 2, 'weight_parity': 1} -
mf_twists_cc • Show schema
-
id: 45944523
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1007, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022697309406534, 'source_is_minimal': False, 'source_label': '1350.2.q.g.1007.1', 'source_level': 1350, 'target_conrey_index': 1007, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022697309406534, 'target_is_minimal': False, 'target_label': '1350.2.q.g.1007.1', 'target_level': 1350, 'twist_class_label': '90.2.l.a.23.1', 'twist_class_level': 90, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2} -
id: 45944524
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1007, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022697309406534, 'source_is_minimal': False, 'source_label': '1350.2.q.g.1007.1', 'source_level': 1350, 'target_conrey_index': 407, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 1030825705922, 'target_is_minimal': False, 'target_label': '450.2.p.a.407.2', 'target_level': 450, 'twist_class_label': '90.2.l.a.23.1', 'twist_class_level': 90, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2} -
id: 45944525
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1007, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022697309406534, 'source_is_minimal': False, 'source_label': '1350.2.q.g.1007.1', 'source_level': 1350, 'target_conrey_index': 143, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 824667275534, 'target_is_minimal': False, 'target_label': '270.2.m.a.143.2', 'target_level': 270, 'twist_class_label': '90.2.l.a.23.1', 'twist_class_level': 90, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2} -
id: 45944526
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1007, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022697309406534, 'source_is_minimal': False, 'source_label': '1350.2.q.g.1007.1', 'source_level': 1350, 'target_conrey_index': 143, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022697309406534, 'target_is_minimal': False, 'target_label': '1350.2.q.g.143.1', 'target_level': 1350, 'twist_class_label': '90.2.l.a.23.1', 'twist_class_level': 90, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2} -
id: 45944527
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1007, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022697309406534, 'source_is_minimal': False, 'source_label': '1350.2.q.g.1007.1', 'source_level': 1350, 'target_conrey_index': 197, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 824667275534, 'target_is_minimal': False, 'target_label': '270.2.m.a.197.2', 'target_level': 270, 'twist_class_label': '90.2.l.a.23.1', 'twist_class_level': 90, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2} -
id: 45944528
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1007, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022697309406534, 'source_is_minimal': False, 'source_label': '1350.2.q.g.1007.1', 'source_level': 1350, 'target_conrey_index': 257, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 1030825705922, 'target_is_minimal': False, 'target_label': '450.2.p.a.257.2', 'target_level': 450, 'twist_class_label': '90.2.l.a.23.1', 'twist_class_level': 90, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2} -
id: 45944529
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1007, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022697309406534, 'source_is_minimal': False, 'source_label': '1350.2.q.g.1007.1', 'source_level': 1350, 'target_conrey_index': 557, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022697309406534, 'target_is_minimal': False, 'target_label': '1350.2.q.g.557.1', 'target_level': 1350, 'twist_class_label': '90.2.l.a.23.1', 'twist_class_level': 90, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2} -
id: 45944530
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1007, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022697309406534, 'source_is_minimal': False, 'source_label': '1350.2.q.g.1007.1', 'source_level': 1350, 'target_conrey_index': 83, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 755947798618, 'target_is_minimal': True, 'target_label': '90.2.l.a.83.1', 'target_level': 90, 'twist_class_label': '90.2.l.a.23.1', 'twist_class_level': 90, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2} -
id: 45944531
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1007, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022697309406534, 'source_is_minimal': False, 'source_label': '1350.2.q.g.1007.1', 'source_level': 1350, 'target_conrey_index': 443, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 1030825705922, 'target_is_minimal': False, 'target_label': '450.2.p.a.443.2', 'target_level': 450, 'twist_class_label': '90.2.l.a.23.1', 'twist_class_level': 90, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2} -
id: 45944532
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1007, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022697309406534, 'source_is_minimal': False, 'source_label': '1350.2.q.g.1007.1', 'source_level': 1350, 'target_conrey_index': 47, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 755947798618, 'target_is_minimal': True, 'target_label': '90.2.l.a.47.1', 'target_level': 90, 'twist_class_label': '90.2.l.a.23.1', 'twist_class_level': 90, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2} -
id: 45944533
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1007, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022697309406534, 'source_is_minimal': False, 'source_label': '1350.2.q.g.1007.1', 'source_level': 1350, 'target_conrey_index': 323, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4503943258309418, 'target_is_minimal': False, 'target_label': '810.2.f.b.323.4', 'target_level': 810, 'twist_class_label': '90.2.l.a.23.1', 'twist_class_level': 90, 'twisting_char_label': '45.2', 'twisting_conrey_index': 2, 'weight': 2} -
id: 45944534
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1007, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022697309406534, 'source_is_minimal': False, 'source_label': '1350.2.q.g.1007.1', 'source_level': 1350, 'target_conrey_index': 77, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 755947798618, 'target_is_minimal': True, 'target_label': '90.2.l.a.77.1', 'target_level': 90, 'twist_class_label': '90.2.l.a.23.1', 'twist_class_level': 90, 'twisting_char_label': '45.4', 'twisting_conrey_index': 4, 'weight': 2} -
id: 45944535
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1007, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022697309406534, 'source_is_minimal': False, 'source_label': '1350.2.q.g.1007.1', 'source_level': 1350, 'target_conrey_index': 323, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503943258309418, 'target_is_minimal': False, 'target_label': '810.2.f.b.323.1', 'target_level': 810, 'twist_class_label': '90.2.l.a.23.1', 'twist_class_level': 90, 'twisting_char_label': '45.7', 'twisting_conrey_index': 7, 'weight': 2} -
id: 45944536
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1007, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022697309406534, 'source_is_minimal': False, 'source_label': '1350.2.q.g.1007.1', 'source_level': 1350, 'target_conrey_index': 293, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 1030825705922, 'target_is_minimal': False, 'target_label': '450.2.p.a.293.2', 'target_level': 450, 'twist_class_label': '90.2.l.a.23.1', 'twist_class_level': 90, 'twisting_char_label': '45.13', 'twisting_conrey_index': 13, 'weight': 2} -
id: 45944537
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1007, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022697309406534, 'source_is_minimal': False, 'source_label': '1350.2.q.g.1007.1', 'source_level': 1350, 'target_conrey_index': 17, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 824667275534, 'target_is_minimal': False, 'target_label': '270.2.m.a.17.2', 'target_level': 270, 'twist_class_label': '90.2.l.a.23.1', 'twist_class_level': 90, 'twisting_char_label': '45.14', 'twisting_conrey_index': 14, 'weight': 2} -
id: 45944538
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1007, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022697309406534, 'source_is_minimal': False, 'source_label': '1350.2.q.g.1007.1', 'source_level': 1350, 'target_conrey_index': 23, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 755947798618, 'target_is_minimal': True, 'target_label': '90.2.l.a.23.1', 'target_level': 90, 'twist_class_label': '90.2.l.a.23.1', 'twist_class_level': 90, 'twisting_char_label': '45.22', 'twisting_conrey_index': 22, 'weight': 2} -
id: 45944539
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1007, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022697309406534, 'source_is_minimal': False, 'source_label': '1350.2.q.g.1007.1', 'source_level': 1350, 'target_conrey_index': 1043, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022697309406534, 'target_is_minimal': False, 'target_label': '1350.2.q.g.1043.1', 'target_level': 1350, 'twist_class_label': '90.2.l.a.23.1', 'twist_class_level': 90, 'twisting_char_label': '45.23', 'twisting_conrey_index': 23, 'weight': 2} -
id: 45944540
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1007, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022697309406534, 'source_is_minimal': False, 'source_label': '1350.2.q.g.1007.1', 'source_level': 1350, 'target_conrey_index': 647, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503943258309418, 'target_is_minimal': False, 'target_label': '810.2.f.b.647.2', 'target_level': 810, 'twist_class_label': '90.2.l.a.23.1', 'twist_class_level': 90, 'twisting_char_label': '45.29', 'twisting_conrey_index': 29, 'weight': 2} -
id: 45944541
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1007, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022697309406534, 'source_is_minimal': False, 'source_label': '1350.2.q.g.1007.1', 'source_level': 1350, 'target_conrey_index': 233, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 824667275534, 'target_is_minimal': False, 'target_label': '270.2.m.a.233.2', 'target_level': 270, 'twist_class_label': '90.2.l.a.23.1', 'twist_class_level': 90, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 2} -
id: 45944542
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1007, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022697309406534, 'source_is_minimal': False, 'source_label': '1350.2.q.g.1007.1', 'source_level': 1350, 'target_conrey_index': 647, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503943258309418, 'target_is_minimal': False, 'target_label': '810.2.f.b.647.3', 'target_level': 810, 'twist_class_label': '90.2.l.a.23.1', 'twist_class_level': 90, 'twisting_char_label': '45.34', 'twisting_conrey_index': 34, 'weight': 2} -
id: 45944543
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1007, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022697309406534, 'source_is_minimal': False, 'source_label': '1350.2.q.g.1007.1', 'source_level': 1350, 'target_conrey_index': 353, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4947835880144, 'target_is_minimal': False, 'target_label': '720.2.cu.a.353.1', 'target_level': 720, 'twist_class_label': '90.2.l.a.23.1', 'twist_class_level': 90, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 2} -
id: 45944544
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1007, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022697309406534, 'source_is_minimal': False, 'source_label': '1350.2.q.g.1007.1', 'source_level': 1350, 'target_conrey_index': 497, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4947835880144, 'target_is_minimal': False, 'target_label': '720.2.cu.a.497.1', 'target_level': 720, 'twist_class_label': '90.2.l.a.23.1', 'twist_class_level': 90, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2} -
id: 45944545
{'conductor': 180, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1007, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022697309406534, 'source_is_minimal': False, 'source_label': '1350.2.q.g.1007.1', 'source_level': 1350, 'target_conrey_index': 113, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4947835880144, 'target_is_minimal': False, 'target_label': '720.2.cu.a.113.1', 'target_level': 720, 'twist_class_label': '90.2.l.a.23.1', 'twist_class_level': 90, 'twisting_char_label': '180.67', 'twisting_conrey_index': 67, 'weight': 2} -
id: 45944546
{'conductor': 180, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1007, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022697309406534, 'source_is_minimal': False, 'source_label': '1350.2.q.g.1007.1', 'source_level': 1350, 'target_conrey_index': 257, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4947835880144, 'target_is_minimal': False, 'target_label': '720.2.cu.a.257.1', 'target_level': 720, 'twist_class_label': '90.2.l.a.23.1', 'twist_class_level': 90, 'twisting_char_label': '180.139', 'twisting_conrey_index': 139, 'weight': 2}
-
id: 45944523
-
mf_hecke_charpolys • Show schema
-
id: 1886600
{'charpoly_factorization': [[[1, 0, 0, 0, -1, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 27022697309406534, 'p': 2} -
id: 1886601
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 27022697309406534, 'p': 3} -
id: 1886602
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 27022697309406534, 'p': 5} -
id: 1886603
{'charpoly_factorization': [[[625, -1000, 800, -880, 679, -176, 32, -8, 1], 1]], 'hecke_orbit_code': 27022697309406534, 'p': 7} -
id: 1886604
{'charpoly_factorization': [[[16, -48, 52, -12, 1], 2]], 'hecke_orbit_code': 27022697309406534, 'p': 11} -
id: 1886605
{'charpoly_factorization': [[[20736, 0, 0, 0, -144, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 27022697309406534, 'p': 13} -
id: 1886606
{'charpoly_factorization': [[[16, 0, 0, 0, 392, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 27022697309406534, 'p': 17} -
id: 1886607
{'charpoly_factorization': [[[100, 0, 44, 0, 1], 2]], 'hecke_orbit_code': 27022697309406534, 'p': 19} -
id: 1886608
{'charpoly_factorization': [[[1, 0, 0, 0, -1, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 27022697309406534, 'p': 23} -
id: 1886609
{'charpoly_factorization': [[[1, 0, 10, 0, 99, 0, 10, 0, 1], 1]], 'hecke_orbit_code': 27022697309406534, 'p': 29} -
id: 1886610
{'charpoly_factorization': [[[4, 8, 18, -4, 1], 2]], 'hecke_orbit_code': 27022697309406534, 'p': 31} -
id: 1886611
{'charpoly_factorization': [[[18, -6, 1], 4]], 'hecke_orbit_code': 27022697309406534, 'p': 37} -
id: 1886612
{'charpoly_factorization': [[[841, -174, -17, 6, 1], 2]], 'hecke_orbit_code': 27022697309406534, 'p': 41} -
id: 1886613
{'charpoly_factorization': [[[20736, 0, 0, 0, -144, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 27022697309406534, 'p': 43} -
id: 1886614
{'charpoly_factorization': [[[43046721, 0, 0, 0, -6561, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 27022697309406534, 'p': 47} -
id: 1886615
{'charpoly_factorization': [[[6250000, 0, 0, 0, 8456, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 27022697309406534, 'p': 53} -
id: 1886616
{'charpoly_factorization': [[[126247696, 0, 2471920, 0, 37164, 0, 220, 0, 1], 1]], 'hecke_orbit_code': 27022697309406534, 'p': 59} -
id: 1886617
{'charpoly_factorization': [[[9, -18, 33, -6, 1], 2]], 'hecke_orbit_code': 27022697309406534, 'p': 61} -
id: 1886618
{'charpoly_factorization': [[[390625, -62500, 5000, -5800, -161, 232, 8, 4, 1], 1]], 'hecke_orbit_code': 27022697309406534, 'p': 67} -
id: 1886619
{'charpoly_factorization': [[[16, 0, 40, 0, 1], 2]], 'hecke_orbit_code': 27022697309406534, 'p': 71} -
id: 1886620
{'charpoly_factorization': [[[1600, 320, 32, -8, 1], 2]], 'hecke_orbit_code': 27022697309406534, 'p': 73} -
id: 1886621
{'charpoly_factorization': [[[36, 0, -6, 0, 1], 2]], 'hecke_orbit_code': 27022697309406534, 'p': 79} -
id: 1886622
{'charpoly_factorization': [[[81, 324, 648, 864, 423, -288, 72, -12, 1], 1]], 'hecke_orbit_code': 27022697309406534, 'p': 83} -
id: 1886623
{'charpoly_factorization': [[[361, 0, -70, 0, 1], 2]], 'hecke_orbit_code': 27022697309406534, 'p': 89} -
id: 1886624
{'charpoly_factorization': [[[810000, -324000, 64800, -47520, 8604, 1584, 72, 12, 1], 1]], 'hecke_orbit_code': 27022697309406534, 'p': 97}
-
id: 1886600
-
mf_newform_portraits • Show schema
{'char_orbit_index': 17, 'hecke_orbit': 7, 'label': '1350.2.q.g', 'level': 1350, 'portrait': 'data:image/png;base64,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', 'weight': 2} -
mf_hecke_traces • Show schema
-
id: 47661349
{'hecke_orbit_code': 27022697309406534, 'n': 1, 'trace_an': 8} -
id: 47661350
{'hecke_orbit_code': 27022697309406534, 'n': 2, 'trace_an': 0} -
id: 47661351
{'hecke_orbit_code': 27022697309406534, 'n': 3, 'trace_an': 0} -
id: 47661352
{'hecke_orbit_code': 27022697309406534, 'n': 4, 'trace_an': 0} -
id: 47661353
{'hecke_orbit_code': 27022697309406534, 'n': 5, 'trace_an': 0} -
id: 47661354
{'hecke_orbit_code': 27022697309406534, 'n': 6, 'trace_an': 0} -
id: 47661355
{'hecke_orbit_code': 27022697309406534, 'n': 7, 'trace_an': 8} -
id: 47661356
{'hecke_orbit_code': 27022697309406534, 'n': 8, 'trace_an': 0} -
id: 47661357
{'hecke_orbit_code': 27022697309406534, 'n': 9, 'trace_an': 0} -
id: 47661358
{'hecke_orbit_code': 27022697309406534, 'n': 10, 'trace_an': 0} -
id: 47661359
{'hecke_orbit_code': 27022697309406534, 'n': 11, 'trace_an': 24} -
id: 47661360
{'hecke_orbit_code': 27022697309406534, 'n': 12, 'trace_an': 0} -
id: 47661361
{'hecke_orbit_code': 27022697309406534, 'n': 13, 'trace_an': 0} -
id: 47661362
{'hecke_orbit_code': 27022697309406534, 'n': 14, 'trace_an': 0} -
id: 47661363
{'hecke_orbit_code': 27022697309406534, 'n': 15, 'trace_an': 0} -
id: 47661364
{'hecke_orbit_code': 27022697309406534, 'n': 16, 'trace_an': 4} -
id: 47661365
{'hecke_orbit_code': 27022697309406534, 'n': 17, 'trace_an': 0} -
id: 47661366
{'hecke_orbit_code': 27022697309406534, 'n': 18, 'trace_an': 0} -
id: 47661367
{'hecke_orbit_code': 27022697309406534, 'n': 19, 'trace_an': 0} -
id: 47661368
{'hecke_orbit_code': 27022697309406534, 'n': 20, 'trace_an': 0} -
id: 47661369
{'hecke_orbit_code': 27022697309406534, 'n': 21, 'trace_an': 0} -
id: 47661370
{'hecke_orbit_code': 27022697309406534, 'n': 22, 'trace_an': 8} -
id: 47661371
{'hecke_orbit_code': 27022697309406534, 'n': 23, 'trace_an': 0} -
id: 47661372
{'hecke_orbit_code': 27022697309406534, 'n': 24, 'trace_an': 0} -
id: 47661373
{'hecke_orbit_code': 27022697309406534, 'n': 25, 'trace_an': 0} -
id: 47661374
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id: 47661582
{'hecke_orbit_code': 27022697309406534, 'n': 839, 'trace_an': 0} -
id: 47661583
{'hecke_orbit_code': 27022697309406534, 'n': 841, 'trace_an': 96} -
id: 47661584
{'hecke_orbit_code': 27022697309406534, 'n': 853, 'trace_an': -56} -
id: 47661585
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id: 47661586
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id: 47661587
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id: 47661588
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id: 47661589
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id: 47661590
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id: 47661591
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id: 47661592
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id: 47661593
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id: 47661594
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id: 47661595
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id: 47661596
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id: 47661597
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id: 47661598
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id: 47661599
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id: 47661600
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id: 47661601
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id: 47661602
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id: 47661603
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id: 47661604
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id: 47661605
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id: 47661606
{'hecke_orbit_code': 27022697309406534, 'n': 997, 'trace_an': -68}
-
id: 47661349
Embedded newform data - 1350.2.q.g.1007.1