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mf_newforms • Show schema
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{'Nk2': 2700, 'analytic_conductor': 5.389902136436426, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 45, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 6, 'char_parity': 1, 'char_values': [675, 6, [326, 352], [2, 3]], 'cm_discs': [], 'conrey_index': 199, 'conrey_indexes': [199, 424], 'dim': 12, 'field_disc': 233130390257664, 'field_disc_factorization': [[2, 16], [3, 6], [47, 4]], 'field_poly': [36, 144, 288, 384, 304, 96, 0, -24, -16, 0, 0, 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': [[2, [81, 0, -279, 0, 862, 0, -323, 0, 90, 0, -11, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504286855692963, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 576, 'hecke_ring_index_factorization': [[2, 6], [3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 2700, 'analytic_conductor': 5.389902136436426, 'char_conductor': 45, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 6, 'char_parity': 1, 'char_values': [675, 6, [326, 352], [2, 3]], 'conrey_index': 199, 'cusp_dim': 144, 'dim': 32, 'eis_dim': 72, 'eis_new_dim': 8, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 687228322467, 'hecke_orbit_dims': [4, 12, 16], 'label': '675.2.k', 'level': 675, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 216, 'mf_new_dim': 40, 'num_forms': 3, 'prim_orbit_index': 10, 'relative_dim': 16, 'sturm_bound': 180, 'trace_bound': 1, 'trace_display': [0, 0, 0, 0], 'traces': [32, 0, 0, 16, 0, 0, 0, 0, 0, 0, -10, 0, 0, 18, 0, -16, 0, 0, 8, 0, 0, 0, 0, 0, 0, 56, 0, 0, 14, 0, -8, 0, 0, 18, 0, 0, 0, 0, 0, 0, -26, 0, 0, 8, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, -60, 0, 0, -2, 0, 10, 0, 0, -44, 0, 0, 0, 0, 0, 0, 64, 0, 0, -40, 0, -14, 0, 0, -22, 0, 0, 0, 0, 0, 0, -28, 0, 0, -132, 0, -4, 0, 0, -42, 0, 0, 0, 0, 0, 0, -24, 0, 0, -48, 0, 6, 0, 0, 56, 0, 0, 0, 0, 0, 0, 68, 0, 0, 6, 0, 26, 0, 0, 26, 0, 0, 0, 0, 0, 0, -78, 0, 0, 180, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 38, 0, 0, 38, 0, -38, 0, 0, -48, 0, 0, 0, 0, 0, 0, -96, 0, 0, 124, 0, -36, 0, 0, -24, 0, 0, 0, 0, 0, 0, -44, 0, 0, -32, 0, -128, 0, 0, 6, 0, 0, 0, 0, 0, 0, -32, 0, 0, -40, 0, 42, 0, 0, -76, 0, 0, 0, 0, 0, 0, 148, 0, 0, -38, 0, 16, 0, 0, -78, 0, 0, 0, 0, 0, 0, 98, 0, 0, 36, 0, -48, 0, 0, -70, 0, 0, 0, 0, 0, 0, 82, 0, 0, 142, 0, 52, 0, 0, 176, 0, 0, 0, 0, 0, 0, 144, 0, 0, -128, 0, 68, 0, 0, 46, 0, 0, 0, 0, 0, 0, 60, 0, 0, -56, 0, 16, 0, 0, 90, 0, 0, 0, 0, 0, 0, -42, 0, 0, -128, 0, 12, 0, 0, 76, 0, 0, 0, 0, 0, 0, -348, 0, 0, 120, 0, 50, 0, 0, 98, 0, 0, 0, 0, 0, 0, 84, 0, 0, -268, 0, 100, 0, 0, -78, 0, 0, 0, 0, 0, 0, -62, 0, 0, 24, 0, 16, 0, 0, -264, 0, 0, 0, 0, 0, 0, -240, 0, 0, -126, 0, -30, 0, 0, -130, 0, 0, 0, 0, 0, 0, -102, 0, 0, 48, 0, -24, 0, 0, -80, 0, 0, 0, 0, 0, 0, 84, 0, 0, -8, 0, -18, 0, 0, 236, 0, 0, 0, 0, 0, 0, -380, 0, 0, 114, 0, -12, 0, 0, 114, 0, 0, 0, 0, 0, 0, 42, 0, 0, 324, 0, 108, 0, 0, 98, 0, 0, 0, 0, 0, 0, 154, 0, 0, -100, 0, -86, 0, 0, 120, 0, 0, 0, 0, 0, 0, 372, 0, 0, -162, 0, -80, 0, 0, 44, 0, 0, 0, 0, 0, 0, 274, 0, 0, -80, 0, 84, 0, 0, 36, 0, 0, 0, 0, 0, 0, 168, 0, 0, 286, 0, -90, 0, 0, -236, 0, 0, 0, 0, 0, 0, 228, 0, 0, 24, 0, -4, 0, 0, -194, 0, 0, 0, 0, 0, 0, 40, 0, 0, 316, 0, 40, 0, 0, 8, 0, 0, 0, 0, 0, 0, -96, 0, 0, -116, 0, 98, 0, 0, 84, 0, 0, 0, 0, 0, 0, -272, 0, 0, -6, 0, 42, 0, 0, 22, 0, 0, 0, 0, 0, 0, 210, 0, 0, -124, 0, -104, 0, 0, 210, 0, 0, 0, 0, 0, 0, -98, 0, 0, -240, 0, 70, 0, 0, -8, 0, 0, 0, 0, 0, 0, -336, 0, 0, -18, 0, -38, 0, 0, 72, 0, 0, 0, 0, 0, 0, -204, 0, 0, 84, 0, 60, 0, 0, -14, 0, 0, 0, 0, 0, 0, 146, 0, 0, 182, 0, -56, 0, 0, -304, 0, 0, 0, 0, 0, 0, -196, 0, 0, 286, 0, 30, 0, 0, 26, 0, 0, 0, 0, 0, 0, -284, 0, 0, -52, 0, 208, 0, 0, -198, 0, 0, 0, 0, 0, 0, 204, 0, 0, -198, 0, -204, 0, 0, 0, 0, 0, 0, 0, 0, 0, 428, 0, 0, -116, 0, -164, 0, 0, 90, 0, 0, 0, 0, 0, 0, -142, 0, 0, -140, 0, -384, 0, 0, -2, 0, 0, 0, 0, 0, 0, 72, 0, 0, 142, 0, 4, 0, 0, -60, 0, 0, 0, 0, 0, 0, 4, 0, 0, -122, 0, -126, 0, 0, 146, 0, 0, 0, 0, 0, 0, 184, 0, 0, 60, 0, -52, 0, 0, -154, 0, 0, 0, 0, 0, 0, -322, 0, 0, -72, 0, 0, 0, 0, -292, 0, 0, 0, 0, 0, 0, -232, 0, 0, 42, 0, -80, 0, 0, -222, 0, 0, 0, 0, 0, 0, 120, 0, 0, -872, 0, 120, 0, 0, -100, 0, 0, 0, 0, 0, 0, -318, 0, 0, -28, 0, 6, 0, 0, 504, 0, 0, 0, 0, 0, 0, -36, 0, 0, -68, 0, 190, 0, 0, 120, 0, 0, 0, 0, 0, 0, -162, 0, 0, 296, 0, 172, 0, 0, 204, 0, 0, 0, 0, 0, 0, 144, 0, 0, 132, 0, 132, 0, 0, -28, 0, 0, 0, 0, 0, 0, 4, 0, 0, 254, 0, 86, 0, 0, -172, 0, 0, 0, 0, 0, 0, -90, 0, 0, 288, 0, -156, 0, 0, 44, 0, 0, 0, 0, 0, 0, 146, 0, 0, -192, 0, 146, 0, 0, -60, 0, 0, 0, 0, 0, 0, 488, 0, 0, -124, 0, 222, 0, 0, -110, 0, 0, 0, 0, 0, 0, 84, 0, 0, -324, 0, 0, 0, 0, -90, 0, 0, 0, 0, 0, 0, 14, 0, 0, 382, 0, 220, 0, 0, 176, 0, 0, 0, 0, 0, 0, 972, 0, 0, 38, 0, -72, 0, 0, -12, 0, 0, 0, 0, 0, 0, 214, 0, 0, 512, 0, -324, 0, 0, 94, 0, 0, 0, 0, 0, 0, -464, 0, 0, -30, 0, -72, 0, 0, 236, 0, 0, 0, 0, 0, 0, 228, 0, 0, 80, 0, 172, 0, 0, 126, 0, 0, 0, 0, 0, 0, -182, 0, 0, -108, 0, -344, 0, 0, -66, 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: 36097676
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504286855692963, 'source_is_minimal': False, 'source_label': '675.2.k.b.199.1', 'source_level': 675, 'target_conrey_index': 199, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504286855692963, 'target_is_minimal': False, 'target_label': '675.2.k.b.199.1', 'target_level': 675, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 36097677
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504286855692963, 'source_is_minimal': False, 'source_label': '675.2.k.b.199.1', 'source_level': 675, 'target_conrey_index': 49, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 4504286855692513, 'target_is_minimal': False, 'target_label': '225.2.k.b.49.6', 'target_level': 225, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 36097678
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504286855692963, 'source_is_minimal': False, 'source_label': '675.2.k.b.199.1', 'source_level': 675, 'target_conrey_index': 226, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832547, 'target_is_minimal': False, 'target_label': '675.2.e.b.226.1', 'target_level': 675, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 36097679
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504286855692963, 'source_is_minimal': False, 'source_label': '675.2.k.b.199.1', 'source_level': 675, 'target_conrey_index': 91, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503874538832007, 'target_is_minimal': False, 'target_label': '135.2.e.b.91.3', 'target_level': 135, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 36097680
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504286855692963, 'source_is_minimal': False, 'source_label': '675.2.k.b.199.1', 'source_level': 675, 'target_conrey_index': 199, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 4504286855692963, 'target_is_minimal': False, 'target_label': '675.2.k.b.199.6', 'target_level': 675, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 36097681
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504286855692963, 'source_is_minimal': False, 'source_label': '675.2.k.b.199.1', 'source_level': 675, 'target_conrey_index': 124, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504286855692513, 'target_is_minimal': False, 'target_label': '225.2.k.b.124.1', 'target_level': 225, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 36097682
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504286855692963, 'source_is_minimal': False, 'source_label': '675.2.k.b.199.1', 'source_level': 675, 'target_conrey_index': 649, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043264281479145, 'target_is_minimal': False, 'target_label': '2025.2.b.m.649.1', 'target_level': 2025, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 36097683
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504286855692963, 'source_is_minimal': False, 'source_label': '675.2.k.b.199.1', 'source_level': 675, 'target_conrey_index': 649, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 49539664654108649, 'target_is_minimal': False, 'target_label': '2025.2.b.l.649.6', 'target_level': 2025, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 36097684
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504286855692963, 'source_is_minimal': False, 'source_label': '675.2.k.b.199.1', 'source_level': 675, 'target_conrey_index': 424, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 4504286855692963, 'target_is_minimal': False, 'target_label': '675.2.k.b.424.6', 'target_level': 675, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 36097685
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504286855692963, 'source_is_minimal': False, 'source_label': '675.2.k.b.199.1', 'source_level': 675, 'target_conrey_index': 76, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503874538832097, 'target_is_minimal': False, 'target_label': '225.2.e.b.76.3', 'target_level': 225, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 36097686
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504286855692963, 'source_is_minimal': False, 'source_label': '675.2.k.b.199.1', 'source_level': 675, 'target_conrey_index': 31, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538831917, 'target_is_minimal': True, 'target_label': '45.2.e.b.31.1', 'target_level': 45, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 36097687
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504286855692963, 'source_is_minimal': False, 'source_label': '675.2.k.b.199.1', 'source_level': 675, 'target_conrey_index': 49, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504286855692513, 'target_is_minimal': False, 'target_label': '225.2.k.b.49.1', 'target_level': 225, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 36097688
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504286855692963, 'source_is_minimal': False, 'source_label': '675.2.k.b.199.1', 'source_level': 675, 'target_conrey_index': 1441, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45037095818889328, 'target_is_minimal': False, 'target_label': '2160.2.q.k.1441.1', 'target_level': 2160, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 36097689
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504286855692963, 'source_is_minimal': False, 'source_label': '675.2.k.b.199.1', 'source_level': 675, 'target_conrey_index': 151, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503874538832097, 'target_is_minimal': False, 'target_label': '225.2.e.b.151.3', 'target_level': 225, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 36097690
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504286855692963, 'source_is_minimal': False, 'source_label': '675.2.k.b.199.1', 'source_level': 675, 'target_conrey_index': 649, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 54043264281479145, 'target_is_minimal': False, 'target_label': '2025.2.b.m.649.6', 'target_level': 2025, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 36097691
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504286855692963, 'source_is_minimal': False, 'source_label': '675.2.k.b.199.1', 'source_level': 675, 'target_conrey_index': 451, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832547, 'target_is_minimal': False, 'target_label': '675.2.e.b.451.1', 'target_level': 675, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 36097692
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504286855692963, 'source_is_minimal': False, 'source_label': '675.2.k.b.199.1', 'source_level': 675, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028797052518805, 'target_is_minimal': False, 'target_label': '405.2.a.i.1.1', 'target_level': 405, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 36097693
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504286855692963, 'source_is_minimal': False, 'source_label': '675.2.k.b.199.1', 'source_level': 675, 'target_conrey_index': 649, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539664654108649, 'target_is_minimal': False, 'target_label': '2025.2.b.l.649.1', 'target_level': 2025, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 36097694
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504286855692963, 'source_is_minimal': False, 'source_label': '675.2.k.b.199.1', 'source_level': 675, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 63050394816743401, 'target_is_minimal': False, 'target_label': '2025.2.a.o.1.3', 'target_level': 2025, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 36097695
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504286855692963, 'source_is_minimal': False, 'source_label': '675.2.k.b.199.1', 'source_level': 675, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 40532396679889301, 'target_is_minimal': False, 'target_label': '405.2.a.j.1.3', 'target_level': 405, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 36097696
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504286855692963, 'source_is_minimal': False, 'source_label': '675.2.k.b.199.1', 'source_level': 675, 'target_conrey_index': 124, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 4504286855692513, 'target_is_minimal': False, 'target_label': '225.2.k.b.124.6', 'target_level': 225, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 36097697
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504286855692963, 'source_is_minimal': False, 'source_label': '675.2.k.b.199.1', 'source_level': 675, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58546795189372905, 'target_is_minimal': False, 'target_label': '2025.2.a.n.1.1', 'target_level': 2025, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 36097698
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504286855692963, 'source_is_minimal': False, 'source_label': '675.2.k.b.199.1', 'source_level': 675, 'target_conrey_index': 424, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504286855692963, 'target_is_minimal': False, 'target_label': '675.2.k.b.424.1', 'target_level': 675, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 36097699
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504286855692963, 'source_is_minimal': False, 'source_label': '675.2.k.b.199.1', 'source_level': 675, 'target_conrey_index': 16, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538831917, 'target_is_minimal': True, 'target_label': '45.2.e.b.16.1', 'target_level': 45, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 36097700
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504286855692963, 'source_is_minimal': False, 'source_label': '675.2.k.b.199.1', 'source_level': 675, 'target_conrey_index': 46, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503874538832007, 'target_is_minimal': False, 'target_label': '135.2.e.b.46.3', 'target_level': 135, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 36097701
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504286855692963, 'source_is_minimal': False, 'source_label': '675.2.k.b.199.1', 'source_level': 675, 'target_conrey_index': 481, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029896564146896, 'target_is_minimal': False, 'target_label': '720.2.q.i.481.1', 'target_level': 720, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 36097702
{'conductor': 180, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504286855692963, 'source_is_minimal': False, 'source_label': '675.2.k.b.199.1', 'source_level': 675, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 211669182519974224, 'target_is_minimal': False, 'target_label': '6480.2.a.bv.1.3', 'target_level': 6480, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '180.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 36097703
{'conductor': 180, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504286855692963, 'source_is_minimal': False, 'source_label': '675.2.k.b.199.1', 'source_level': 675, 'target_conrey_index': 721, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45037095818889328, 'target_is_minimal': False, 'target_label': '2160.2.q.k.721.1', 'target_level': 2160, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '180.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 36097704
{'conductor': 180, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504286855692963, 'source_is_minimal': False, 'source_label': '675.2.k.b.199.1', 'source_level': 675, 'target_conrey_index': 241, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029896564146896, 'target_is_minimal': False, 'target_label': '720.2.q.i.241.1', 'target_level': 720, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '180.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 36097705
{'conductor': 180, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504286855692963, 'source_is_minimal': False, 'source_label': '675.2.k.b.199.1', 'source_level': 675, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 198158383637862736, 'target_is_minimal': False, 'target_label': '6480.2.a.bs.1.3', 'target_level': 6480, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '180.103', 'twisting_conrey_index': 103, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1194325
{'charpoly_factorization': [[[81, 0, -279, 0, 862, 0, -323, 0, 90, 0, -11, 0, 1], 1]], 'hecke_orbit_code': 4504286855692963, 'p': 2}
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id: 1194326
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4504286855692963, 'p': 3}
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id: 1194327
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4504286855692963, 'p': 5}
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id: 1194328
{'charpoly_factorization': [[[81, 0, -351, 0, 1350, 0, -723, 0, 322, 0, -19, 0, 1], 1]], 'hecke_orbit_code': 4504286855692963, 'p': 7}
-
id: 1194329
{'charpoly_factorization': [[[144, 96, 88, 8, 12, 2, 1], 2]], 'hecke_orbit_code': 4504286855692963, 'p': 11}
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id: 1194330
{'charpoly_factorization': [[[256, 0, -768, 0, 1920, 0, -1120, 0, 528, 0, -24, 0, 1], 1]], 'hecke_orbit_code': 4504286855692963, 'p': 13}
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id: 1194331
{'charpoly_factorization': [[[144, 0, 112, 0, 20, 0, 1], 2]], 'hecke_orbit_code': 4504286855692963, 'p': 17}
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id: 1194332
{'charpoly_factorization': [[[-4, -4, 4, 1], 4]], 'hecke_orbit_code': 4504286855692963, 'p': 19}
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id: 1194333
{'charpoly_factorization': [[[187388721, 0, -24516999, 0, 2181006, 0, -106947, 0, 3834, 0, -75, 0, 1], 1]], 'hecke_orbit_code': 4504286855692963, 'p': 23}
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id: 1194334
{'charpoly_factorization': [[[2601, -1479, 1198, 101, 78, -7, 1], 2]], 'hecke_orbit_code': 4504286855692963, 'p': 29}
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id: 1194335
{'charpoly_factorization': [[[219024, 28080, 7344, 456, 124, 8, 1], 2]], 'hecke_orbit_code': 4504286855692963, 'p': 31}
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id: 1194336
{'charpoly_factorization': [[[16, 0, 192, 0, 60, 0, 1], 2]], 'hecke_orbit_code': 4504286855692963, 'p': 37}
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id: 1194337
{'charpoly_factorization': [[[9, 57, 322, 241, 150, 13, 1], 2]], 'hecke_orbit_code': 4504286855692963, 'p': 41}
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id: 1194338
{'charpoly_factorization': [[[256, 0, -1536, 0, 7488, 0, -10336, 0, 11568, 0, -108, 0, 1], 1]], 'hecke_orbit_code': 4504286855692963, 'p': 43}
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id: 1194339
{'charpoly_factorization': [[[18539817921, 0, -1322804115, 0, 68374474, 0, -1583243, 0, 26766, 0, -191, 0, 1], 1]], 'hecke_orbit_code': 4504286855692963, 'p': 47}
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id: 1194340
{'charpoly_factorization': [[[576, 0, 496, 0, 44, 0, 1], 2]], 'hecke_orbit_code': 4504286855692963, 'p': 53}
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id: 1194341
{'charpoly_factorization': [[[576, -480, 448, -8, 24, -2, 1], 2]], 'hecke_orbit_code': 4504286855692963, 'p': 59}
-
id: 1194342
{'charpoly_factorization': [[[5041, -2627, 1298, -179, 38, 1, 1], 2]], 'hecke_orbit_code': 4504286855692963, 'p': 61}
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id: 1194343
{'charpoly_factorization': [[[66074188401, 0, -3258096075, 0, 109502874, 0, -2008227, 0, 26926, 0, -199, 0, 1], 1]], 'hecke_orbit_code': 4504286855692963, 'p': 67}
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id: 1194344
{'charpoly_factorization': [[[708, -92, -10, 1], 4]], 'hecke_orbit_code': 4504286855692963, 'p': 71}
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id: 1194345
{'charpoly_factorization': [[[16384, 0, 6144, 0, 192, 0, 1], 2]], 'hecke_orbit_code': 4504286855692963, 'p': 73}
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id: 1194346
{'charpoly_factorization': [[[576, 2016, 7008, 216, 88, -2, 1], 2]], 'hecke_orbit_code': 4504286855692963, 'p': 79}
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id: 1194347
{'charpoly_factorization': [[[43046721, 0, -20726199, 0, 8857350, 0, -527067, 0, 26082, 0, -171, 0, 1], 1]], 'hecke_orbit_code': 4504286855692963, 'p': 83}
-
id: 1194348
{'charpoly_factorization': [[[3, 1], 12]], 'hecke_orbit_code': 4504286855692963, 'p': 89}
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id: 1194349
{'charpoly_factorization': [[[2891414573056, 0, -82028067840, 0, 1653732864, 0, -15702208, 0, 108576, 0, -396, 0, 1], 1]], 'hecke_orbit_code': 4504286855692963, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 11, 'hecke_orbit': 2, 'label': '675.2.k.b', 'level': 675, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 91717000
{'hecke_orbit_code': 4504286855692963, 'n': 1, 'trace_an': 12}
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id: 91717001
{'hecke_orbit_code': 4504286855692963, 'n': 2, 'trace_an': 0}
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id: 91717002
{'hecke_orbit_code': 4504286855692963, 'n': 3, 'trace_an': 0}
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id: 91717003
{'hecke_orbit_code': 4504286855692963, 'n': 4, 'trace_an': 10}
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id: 91717004
{'hecke_orbit_code': 4504286855692963, 'n': 5, 'trace_an': 0}
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id: 91717005
{'hecke_orbit_code': 4504286855692963, 'n': 6, 'trace_an': 0}
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id: 91717006
{'hecke_orbit_code': 4504286855692963, 'n': 7, 'trace_an': 0}
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id: 91717007
{'hecke_orbit_code': 4504286855692963, 'n': 8, 'trace_an': 0}
-
id: 91717008
{'hecke_orbit_code': 4504286855692963, 'n': 9, 'trace_an': 0}
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id: 91717009
{'hecke_orbit_code': 4504286855692963, 'n': 10, 'trace_an': 0}
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id: 91717010
{'hecke_orbit_code': 4504286855692963, 'n': 11, 'trace_an': -4}
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id: 91717011
{'hecke_orbit_code': 4504286855692963, 'n': 12, 'trace_an': 0}
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id: 91717012
{'hecke_orbit_code': 4504286855692963, 'n': 13, 'trace_an': 0}
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id: 91717013
{'hecke_orbit_code': 4504286855692963, 'n': 14, 'trace_an': 18}
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id: 91717014
{'hecke_orbit_code': 4504286855692963, 'n': 15, 'trace_an': 0}
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id: 91717015
{'hecke_orbit_code': 4504286855692963, 'n': 16, 'trace_an': -10}
-
id: 91717016
{'hecke_orbit_code': 4504286855692963, 'n': 17, 'trace_an': 0}
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id: 91717017
{'hecke_orbit_code': 4504286855692963, 'n': 18, 'trace_an': 0}
-
id: 91717018
{'hecke_orbit_code': 4504286855692963, 'n': 19, 'trace_an': -16}
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id: 91717019
{'hecke_orbit_code': 4504286855692963, 'n': 20, 'trace_an': 0}
-
id: 91717020
{'hecke_orbit_code': 4504286855692963, 'n': 21, 'trace_an': 0}
-
id: 91717021
{'hecke_orbit_code': 4504286855692963, 'n': 22, 'trace_an': 0}
-
id: 91717022
{'hecke_orbit_code': 4504286855692963, 'n': 23, 'trace_an': 0}
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id: 91717023
{'hecke_orbit_code': 4504286855692963, 'n': 24, 'trace_an': 0}
-
id: 91717024
{'hecke_orbit_code': 4504286855692963, 'n': 25, 'trace_an': 0}
-
id: 91717025
{'hecke_orbit_code': 4504286855692963, 'n': 26, 'trace_an': 8}
-
id: 91717026
{'hecke_orbit_code': 4504286855692963, 'n': 27, 'trace_an': 0}
-
id: 91717027
{'hecke_orbit_code': 4504286855692963, 'n': 28, 'trace_an': 0}
-
id: 91717028
{'hecke_orbit_code': 4504286855692963, 'n': 29, 'trace_an': 14}
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id: 91717029
{'hecke_orbit_code': 4504286855692963, 'n': 30, 'trace_an': 0}
-
id: 91717030
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