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mf_newforms • Show schema
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{'Nk2': 360, 'analytic_conductor': 0.7186536181915234, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 45, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 12, 'char_parity': 1, 'char_values': [90, 12, [11, 37], [10, 9]], 'cm_discs': [], 'conrey_index': 23, 'conrey_indexes': [23, 47, 77, 83], '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]]], 'hecke_orbit': 1, 'hecke_orbit_code': 755947798618, '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, 9, 4, -1, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 360, 'analytic_conductor': 0.7186536181915234, 'char_conductor': 45, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 12, 'char_parity': 1, 'char_values': [90, 12, [11, 37], [10, 9]], 'conrey_index': 23, 'cusp_dim': 56, 'dim': 24, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [7], 'hecke_orbit_code': 755947798618, 'hecke_orbit_dims': [8, 16], 'label': '90.2.l', 'level': 90, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 88, 'mf_new_dim': 24, 'num_forms': 2, 'prim_orbit_index': 12, 'relative_dim': 6, 'sturm_bound': 36, 'trace_bound': 1, 'trace_display': [0, 4, 0, 0], 'traces': [24, 0, 4, 0, 0, -8, 0, 0, 0, 0, -24, -4, 0, 0, -8, 12, 0, -8, 0, -12, -8, 0, -24, 0, -12, 0, -8, 0, 0, -24, 0, 0, 16, 0, 0, 16, -24, 36, 0, 0, 36, 44, 0, 0, 68, -24, 48, 8, 0, 48, -16, 0, 0, 0, -24, 12, 52, 12, 0, 4, -12, 0, -80, 0, -24, -8, -12, -36, 0, 0, 0, -16, 0, 0, 8, 0, -48, -24, 0, 0, -4, -48, 60, 0, -24, -72, -56, 0, 0, -8, 48, -24, 52, 0, 60, -4, -36, 0, 0, 0, -48, -8, -24, 0, -36, 0, 0, 4, 0, -84, -72, 0, -24, 0, 36, 0, -24, 24, 0, -32, 36, 60, 76, 0, 0, 88, 96, 0, 0, 48, 72, 56, 36, 0, 68, 0, 24, 28, 0, 60, 48, 24, 0, 0, 0, 72, 16, 12, 0, 44, 24, 0, -52, 0, -24, 24, 36, -60, 0, 0, 0, -80, 48, 0, -44, -12, -72, -40, 0, 0, -64, 0, -72, 0, -24, -24, -92, 0, 0, -36, -120, -96, -48, 0, -132, -104, 24, 0, 0, 48, -96, 4, 24, 0, -72, -24, 0, 40, 0, 24, -20, -24, 12, 0, -24, 0, 88, 0, 0, -32, -72, 12, 8, 0, 0, 40, -24, 60, 0, -12, 168, 120, -96, 0, 48, 0, 168, -20, 0, 36, 136, -12, 0, 0, 24, 72, 0, -60, 0, 20, -36, 0, 44, 0, 156, 100, 0, 36, 0, -24, 0, -16, -96, 0, 96, -12, -60, -96, 0, 0, -28, 72, -24, 0, 36, -120, -28, -12, 0, -88, 48, -36, 48, 0, -72, -104, 60, 0, 0, -24, -12, -60, 36, 0, 20, 24, 0, 8, 0, -24, 96, 0, 228, 0, -36, 0, 112, -72, 0, 28, 48, 120, 104, 0, 0, 56, -120, 48, 0, -36, -24, 0, 72, 0, -116, -48, 0, 8, 0, -12, 116, -24, 0, 0, -96, 120, -88, 24, 0, 84, -24, 0, 60, 0, 36, -4, -48, -24, 0, 0, 0, -68, -96, 0, -16, 0, -96, 16, 0, 0, -144, 0, -240, 0, 24, -12, -128, 24, 0, 4, 72, -132, -228, 0, -180, -132, -48, 0, 0, 48, -264, -40, -36, 0, -76, 12, 0, 100, 0, -60, -188, 12, 24, 0, 144, 0, 48, 72, 0, 48, 72, 72, -44, 0, 0, -56, 216, 36, 0, 12, 0, 56, 24, 0, -84, 168, -24, 76, 0, 0, 144, 24, 0, 0, 144, 0, 32, 48, 0, 16, 96, 0, 24, 0, 204, 104, 156, -108, 0, 36, 0, -4, 168, 0, 164, -12, 12, -104, 0, 0, -40, 48, -12, 0, 0, -84, -72, 0, 0, -64, -240, -24, 40, 0, 96, 16, 36, 0, 0, 24, 300, -40, -48, 0, 40, -96, 0, 96, 0, -48, 192, 12, 168, 0, -96, 0, 44, -48, 0, -12, -96, 144, 100, 0, 0, -4, -192, -60, 0, -84, -48, 32, -84, 0, -28, 0, -48, 0, 0, 36, -44, -84, 0, 0, 144, 72, 40, -48, 0, 104, 24, 0, 8, 0, 0, 0, -120, -12, 0, 0, 0, -56, 24, 0, -76, 48, -24, -40, 0, 0, -16, 72, -168, 0, 36, -132, -112, -60, 0, -20, -24, -84, -208, 0, -144, -96, 36, 0, 0, -240, -72, 44, -12, 0, -120, 0, 0, 52, 0, 36, -280, 0, 108, 0, -48, 0, 232, -48, 0, -4, 0, 24, -160, 0, 0, 20, -168, 48, 0, -36, -84, 84, 48, 0, 24, -96, 156, -32, 0, -24, 192, -12, 0, 0, -288, -36, 180, 48, 0, 72, -120, 0, 40, 0, 204, -64, -168, 36, 0, 0, 0, -32, -168, 0, 124, 0, 72, 16, 0, 0, -124, -168, 168, 0, 60, 48, 112, 36, 0, 12, 240, -60, 128, 0, 36, -16, -72, 0, 0, 0, 252, -56, 84, 0, 84, 72, 0, -32, 0, 0, 256, 24, 36, 0, 24, 0, 40, 192, 0, 64, 48, 60, 96, 0, 0, 144, 168, 72, 0, 108, 240, 4, 48, 0, -124, 120, -48, -16, 0, -84, 136, 144, 0, 0, -24, 204, -240, 0, 0, 64, 120, 0, -128, 0, -204, -32, 132, -108, 0, 48, 0, -24, 288, 0, -276, 24, -192, 40, 0, 0, 144, 0, -228, 0, -24, 72, -48, 12, 0, 28, -192, 24, -104, 0, -48, -132, -72, 0, 0, 120, -336, -96, 12, 0, -196, -12, 0, -8, 0, -60, 48, 36, -288, 0, -72, 0, -108, -48, 0, 12, -264, 48, -156, 0, 0, 64, 96, -12, 0, -24, -180, 32, -84, 0, 164, -144, 0, 4, 0, 24, -344, -24, 0, 0, 336, 24, 192, -156, 0, -48, -72, 0, -16, 0, -60, -128, -24, -24, 0, -84, 0, -40, 96, 0, 184, 48, 72, -20, 0, 0, -164, 96, 144, 0, -84, 48, -8, -24, 0, 56, 240, 12, 300, 0, 288, 16, 96, 0, 0, -120, -372, 0, 72, 0, 80, 96, 0, -56, 0, 12, 48, 0, -48, 0, -36, 0, -116, -144, 0, -136, 168, -72, 192, 0, 0, -240, -96, -12, 0, -72, 192, 40, 96, 0, 180, 24, 24, 72, 0, 60, 100, -60, 0, 0, -96, -288, 28, 12, 0, -40, 0, 0, -228, 0, -276, 112, -72, 48, 0, -12, 0, -32, -264, 0, -148, 12, -24, -60, 0, 0, 32, -192, 60, 0, 24, 12, 0, 144, 0, -28, 192, 48, -96, 0, -60, 232, -84, 0, 0, 48, 264, 32, 48, 0, -132, 12, 0, -76, 0, 120, 60, 36, -96, 0, 132, 0, 88, 24, 0, -24, 144, -156, 92, 0, 0, 24, -48, -36, 0, 108, -156, -12, 24, 0, 152, 144, 348, -108, 0, 108, -360, 60, 0, 0, -96, 48, 184, 84, 0, 8, 12, 0, 116, 0, 108, -176, 144, 120, 0, 156, 0, 88, 144, 0, 72, 12, 168, 128, 0, 0, 340, 96, 360, 0, -24, -144, 228, 0, 0, 136, -96, 36, 208, 0, 288, -12, 12, 0, 0, 96], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 8839353
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 83, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798618, 'source_is_minimal': True, 'source_label': '90.2.l.a.83.1', 'source_level': 90, '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': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 8839354
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 83, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798618, 'source_is_minimal': True, 'source_label': '90.2.l.a.83.1', 'source_level': 90, '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': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 8839355
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 83, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798618, 'source_is_minimal': True, 'source_label': '90.2.l.a.83.1', 'source_level': 90, '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': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 8839356
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 83, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798618, 'source_is_minimal': True, 'source_label': '90.2.l.a.83.1', 'source_level': 90, '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': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 8839357
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 83, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798618, 'source_is_minimal': True, 'source_label': '90.2.l.a.83.1', 'source_level': 90, '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': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 8839358
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 83, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798618, 'source_is_minimal': True, 'source_label': '90.2.l.a.83.1', 'source_level': 90, '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': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 8839359
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 83, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798618, 'source_is_minimal': True, 'source_label': '90.2.l.a.83.1', 'source_level': 90, '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': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 8839360
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 83, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798618, 'source_is_minimal': True, 'source_label': '90.2.l.a.83.1', 'source_level': 90, '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': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 8839361
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 83, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798618, 'source_is_minimal': True, 'source_label': '90.2.l.a.83.1', 'source_level': 90, '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': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 8839362
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 83, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798618, 'source_is_minimal': True, 'source_label': '90.2.l.a.83.1', 'source_level': 90, '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': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 8839363
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 83, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798618, 'source_is_minimal': True, 'source_label': '90.2.l.a.83.1', 'source_level': 90, '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': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 8839364
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 83, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798618, 'source_is_minimal': True, 'source_label': '90.2.l.a.83.1', 'source_level': 90, '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': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 8839365
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 83, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798618, 'source_is_minimal': True, 'source_label': '90.2.l.a.83.1', 'source_level': 90, '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': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 8839366
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 83, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798618, 'source_is_minimal': True, 'source_label': '90.2.l.a.83.1', 'source_level': 90, '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': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 8839367
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 83, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798618, 'source_is_minimal': True, 'source_label': '90.2.l.a.83.1', 'source_level': 90, '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': '36.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 8839368
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 83, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798618, 'source_is_minimal': True, 'source_label': '90.2.l.a.83.1', 'source_level': 90, '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': '45.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 8839369
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 83, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798618, 'source_is_minimal': True, 'source_label': '90.2.l.a.83.1', 'source_level': 90, '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': '45.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 8839370
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 83, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798618, 'source_is_minimal': True, 'source_label': '90.2.l.a.83.1', 'source_level': 90, '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': '45.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 8839371
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 83, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798618, 'source_is_minimal': True, 'source_label': '90.2.l.a.83.1', 'source_level': 90, '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': '45.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 8839372
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 83, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798618, 'source_is_minimal': True, 'source_label': '90.2.l.a.83.1', 'source_level': 90, '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': '45.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 8839373
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 83, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798618, 'source_is_minimal': True, 'source_label': '90.2.l.a.83.1', 'source_level': 90, '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': '45.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 8839374
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 83, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798618, 'source_is_minimal': True, 'source_label': '90.2.l.a.83.1', 'source_level': 90, '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': '45.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 8839375
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 83, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798618, 'source_is_minimal': True, 'source_label': '90.2.l.a.83.1', 'source_level': 90, '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': '45.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 8839376
{'conductor': 180, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 83, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 755947798618, 'source_is_minimal': True, 'source_label': '90.2.l.a.83.1', 'source_level': 90, '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': '180.167', 'twisting_conrey_index': 167, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 270175
{'charpoly_factorization': [[[1, 0, 0, 0, -1, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 755947798618, 'p': 2}
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id: 270176
{'charpoly_factorization': [[[81, -108, 72, -24, 7, -8, 8, -4, 1], 1]], 'hecke_orbit_code': 755947798618, 'p': 3}
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id: 270177
{'charpoly_factorization': [[[25, -30, 17, -6, 1], 2]], 'hecke_orbit_code': 755947798618, 'p': 5}
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id: 270178
{'charpoly_factorization': [[[625, 1000, 800, 880, 679, 176, 32, 8, 1], 1]], 'hecke_orbit_code': 755947798618, 'p': 7}
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id: 270179
{'charpoly_factorization': [[[16, 48, 52, 12, 1], 2]], 'hecke_orbit_code': 755947798618, 'p': 11}
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id: 270180
{'charpoly_factorization': [[[20736, 0, 0, 0, -144, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 755947798618, 'p': 13}
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id: 270181
{'charpoly_factorization': [[[16, 0, 0, 0, 392, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 755947798618, 'p': 17}
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id: 270182
{'charpoly_factorization': [[[100, 0, 44, 0, 1], 2]], 'hecke_orbit_code': 755947798618, 'p': 19}
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id: 270183
{'charpoly_factorization': [[[1, 0, 0, 0, -1, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 755947798618, 'p': 23}
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id: 270184
{'charpoly_factorization': [[[1, 0, 10, 0, 99, 0, 10, 0, 1], 1]], 'hecke_orbit_code': 755947798618, 'p': 29}
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id: 270185
{'charpoly_factorization': [[[4, 8, 18, -4, 1], 2]], 'hecke_orbit_code': 755947798618, 'p': 31}
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id: 270186
{'charpoly_factorization': [[[18, 6, 1], 4]], 'hecke_orbit_code': 755947798618, 'p': 37}
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id: 270187
{'charpoly_factorization': [[[841, 174, -17, -6, 1], 2]], 'hecke_orbit_code': 755947798618, 'p': 41}
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id: 270188
{'charpoly_factorization': [[[20736, 0, 0, 0, -144, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 755947798618, 'p': 43}
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id: 270189
{'charpoly_factorization': [[[43046721, 0, 0, 0, -6561, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 755947798618, 'p': 47}
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id: 270190
{'charpoly_factorization': [[[6250000, 0, 0, 0, 8456, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 755947798618, 'p': 53}
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id: 270191
{'charpoly_factorization': [[[126247696, 0, 2471920, 0, 37164, 0, 220, 0, 1], 1]], 'hecke_orbit_code': 755947798618, 'p': 59}
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id: 270192
{'charpoly_factorization': [[[9, -18, 33, -6, 1], 2]], 'hecke_orbit_code': 755947798618, 'p': 61}
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id: 270193
{'charpoly_factorization': [[[390625, 62500, 5000, 5800, -161, -232, 8, -4, 1], 1]], 'hecke_orbit_code': 755947798618, 'p': 67}
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id: 270194
{'charpoly_factorization': [[[16, 0, 40, 0, 1], 2]], 'hecke_orbit_code': 755947798618, 'p': 71}
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id: 270195
{'charpoly_factorization': [[[1600, -320, 32, 8, 1], 2]], 'hecke_orbit_code': 755947798618, 'p': 73}
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id: 270196
{'charpoly_factorization': [[[36, 0, -6, 0, 1], 2]], 'hecke_orbit_code': 755947798618, 'p': 79}
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id: 270197
{'charpoly_factorization': [[[81, 324, 648, 864, 423, -288, 72, -12, 1], 1]], 'hecke_orbit_code': 755947798618, 'p': 83}
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id: 270198
{'charpoly_factorization': [[[361, 0, -70, 0, 1], 2]], 'hecke_orbit_code': 755947798618, 'p': 89}
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id: 270199
{'charpoly_factorization': [[[810000, 324000, 64800, 47520, 8604, -1584, 72, -12, 1], 1]], 'hecke_orbit_code': 755947798618, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 12, 'hecke_orbit': 1, 'label': '90.2.l.a', 'level': 90, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 42099000
{'hecke_orbit_code': 755947798618, 'n': 1, 'trace_an': 8}
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id: 42099001
{'hecke_orbit_code': 755947798618, 'n': 2, 'trace_an': 0}
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id: 42099002
{'hecke_orbit_code': 755947798618, 'n': 3, 'trace_an': 4}
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id: 42099003
{'hecke_orbit_code': 755947798618, 'n': 4, 'trace_an': 0}
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id: 42099004
{'hecke_orbit_code': 755947798618, 'n': 5, 'trace_an': 12}
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id: 42099005
{'hecke_orbit_code': 755947798618, 'n': 6, 'trace_an': -8}
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id: 42099006
{'hecke_orbit_code': 755947798618, 'n': 7, 'trace_an': -8}
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id: 42099007
{'hecke_orbit_code': 755947798618, 'n': 8, 'trace_an': 0}
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id: 42099008
{'hecke_orbit_code': 755947798618, 'n': 9, 'trace_an': 0}
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id: 42099009
{'hecke_orbit_code': 755947798618, 'n': 10, 'trace_an': 8}
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id: 42099010
{'hecke_orbit_code': 755947798618, 'n': 11, 'trace_an': -24}
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id: 42099011
{'hecke_orbit_code': 755947798618, 'n': 12, 'trace_an': -4}
-
id: 42099012
{'hecke_orbit_code': 755947798618, 'n': 13, 'trace_an': 0}
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id: 42099013
{'hecke_orbit_code': 755947798618, 'n': 14, 'trace_an': 0}
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id: 42099014
{'hecke_orbit_code': 755947798618, 'n': 15, 'trace_an': 16}
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id: 42099015
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