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mf_newforms • Show schema
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{'Nk2': 8100, 'analytic_conductor': 16.169706409309278, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [2025, 2, [326, 1702], [2, 1]], 'cm_discs': [], 'conrey_index': 649, 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [3, 0, 1]], [11, [-12, 0, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45036065026738153, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 15, 4, -1, 2, 0], [1, 1, 5, 2, 1, 2, 0], [1, 1, 3, 2, -1, 2, 0]], 'is_cm': False, 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mf_hecke_cc • Show schema
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'embedding_root_real': 0.8660254037844386, 'hecke_orbit': 11, 'hecke_orbit_code': 45036065026738153, 'label': '2025.2.b.k.649.2', 'level': 2025, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 8100, 'analytic_conductor': 16.169706409309278, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [2025, 2, [326, 1702], [2, 1]], 'conrey_index': 649, 'cusp_dim': 234, 'dim': 68, 'eis_dim': 72, 'eis_new_dim': 8, 'hecke_cutter_primes': [2, 11], 'hecke_orbit_code': 68753033193, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 6, 6, 8, 8, 8], 'label': '2025.2.b', 'level': 2025, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 306, 'mf_new_dim': 76, 'num_forms': 16, 'prim_orbit_index': 2, 'relative_dim': 68, 'sturm_bound': 540, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [68, 0, 0, -68, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 68, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -92, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, -60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 68, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 204, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -180, 0, 0, 200, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 212, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 92, 0, 0, -212, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 92, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 196, 0, 0, 324, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -176, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 164, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 204, 0, 0, 308, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 132, 0, 0, -352, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 200, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 228, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -116, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -52, 0, 0, 352, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, -352, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -76, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, -176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -308, 0, 0, -384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -344, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -68, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 196, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 464, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -132, 0, 0, -172, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 244, 0, 0, -420, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 328, 0, 0, -540, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, 200, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 356, 0, 0, 332, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -360, 0, 0, -340, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 568, 0, 0, 600, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 204, 0, 0, 660, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -284, 0, 0, -408, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, -52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 396, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -172, 0, 0, -156, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -348, 0, 0, -260, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -600, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -980, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 336, 0, 0, -528, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -540, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, -208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -108, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -392, 0, 0, 756, 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: 47156042
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738153, 'source_is_minimal': False, 'source_label': '2025.2.b.k.649.2', 'source_level': 2025, 'target_conrey_index': 649, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45036065026738153, 'target_is_minimal': False, 'target_label': '2025.2.b.k.649.2', 'target_level': 2025, 'twist_class_label': '81.2.a.a.1.1', 'twist_class_level': 81, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47156043
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738153, 'source_is_minimal': False, 'source_label': '2025.2.b.k.649.2', 'source_level': 2025, 'target_conrey_index': 649, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 45036065026738153, 'target_is_minimal': False, 'target_label': '2025.2.b.k.649.4', 'target_level': 2025, 'twist_class_label': '81.2.a.a.1.1', 'twist_class_level': 81, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47156044
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738153, 'source_is_minimal': False, 'source_label': '2025.2.b.k.649.2', 'source_level': 2025, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532396679890921, 'target_is_minimal': False, 'target_label': '2025.2.a.j.1.2', 'target_level': 2025, 'twist_class_label': '81.2.a.a.1.1', 'twist_class_level': 81, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47156045
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738153, 'source_is_minimal': False, 'source_label': '2025.2.b.k.649.2', 'source_level': 2025, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33554513, 'target_is_minimal': True, 'target_label': '81.2.a.a.1.1', 'target_level': 81, 'twist_class_label': '81.2.a.a.1.1', 'twist_class_level': 81, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47156046
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738153, 'source_is_minimal': False, 'source_label': '2025.2.b.k.649.2', 'source_level': 2025, 'target_conrey_index': 649, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 45036065026738153, 'target_is_minimal': False, 'target_label': '2025.2.b.k.649.3', 'target_level': 2025, 'twist_class_label': '81.2.a.a.1.1', 'twist_class_level': 81, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47156047
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738153, 'source_is_minimal': False, 'source_label': '2025.2.b.k.649.2', 'source_level': 2025, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396679890921, 'target_is_minimal': False, 'target_label': '2025.2.a.j.1.1', 'target_level': 2025, 'twist_class_label': '81.2.a.a.1.1', 'twist_class_level': 81, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47156048
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738153, 'source_is_minimal': False, 'source_label': '2025.2.b.k.649.2', 'source_level': 2025, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 33554513, 'target_is_minimal': True, 'target_label': '81.2.a.a.1.2', 'target_level': 81, 'twist_class_label': '81.2.a.a.1.1', 'twist_class_level': 81, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 47156049
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738153, 'source_is_minimal': False, 'source_label': '2025.2.b.k.649.2', 'source_level': 2025, 'target_conrey_index': 649, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036065026738153, 'target_is_minimal': False, 'target_label': '2025.2.b.k.649.1', 'target_level': 2025, 'twist_class_label': '81.2.a.a.1.1', 'twist_class_level': 81, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 47156050
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738153, 'source_is_minimal': False, 'source_label': '2025.2.b.k.649.2', 'source_level': 2025, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050394816742672, 'target_is_minimal': False, 'target_label': '1296.2.a.o.1.2', 'target_level': 1296, 'twist_class_label': '81.2.a.a.1.1', 'twist_class_level': 81, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47156051
{'conductor': 35, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738153, 'source_is_minimal': False, 'source_label': '2025.2.b.k.649.2', 'source_level': 2025, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028797052522369, 'target_is_minimal': False, 'target_label': '3969.2.a.i.1.1', 'target_level': 3969, 'twist_class_label': '81.2.a.a.1.1', 'twist_class_level': 81, 'twisting_char_label': '35.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 47156052
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738153, 'source_is_minimal': False, 'source_label': '2025.2.b.k.649.2', 'source_level': 2025, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 189151184383120448, 'target_is_minimal': False, 'target_label': '5184.2.a.bq.1.1', 'target_level': 5184, 'twist_class_label': '81.2.a.a.1.1', 'twist_class_level': 81, 'twisting_char_label': '40.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47156053
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738153, 'source_is_minimal': False, 'source_label': '2025.2.b.k.649.2', 'source_level': 2025, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 193654784010490944, 'target_is_minimal': False, 'target_label': '5184.2.a.br.1.1', 'target_level': 5184, 'twist_class_label': '81.2.a.a.1.1', 'twist_class_level': 81, 'twisting_char_label': '40.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 47156054
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738153, 'source_is_minimal': False, 'source_label': '2025.2.b.k.649.2', 'source_level': 2025, 'target_conrey_index': 55, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503737099878481, 'target_is_minimal': False, 'target_label': '81.2.c.b.55.2', 'target_level': 81, 'twist_class_label': '81.2.a.a.1.1', 'twist_class_level': 81, 'twisting_char_label': '45.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 47156055
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738153, 'source_is_minimal': False, 'source_label': '2025.2.b.k.649.2', 'source_level': 2025, 'target_conrey_index': 55, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737099878481, 'target_is_minimal': False, 'target_label': '81.2.c.b.55.1', 'target_level': 81, 'twist_class_label': '81.2.a.a.1.1', 'twist_class_level': 81, 'twisting_char_label': '45.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 47156056
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738153, 'source_is_minimal': False, 'source_label': '2025.2.b.k.649.2', 'source_level': 2025, 'target_conrey_index': 28, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737099878481, 'target_is_minimal': False, 'target_label': '81.2.c.b.28.1', 'target_level': 81, 'twist_class_label': '81.2.a.a.1.1', 'twist_class_level': 81, 'twisting_char_label': '45.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 47156057
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738153, 'source_is_minimal': False, 'source_label': '2025.2.b.k.649.2', 'source_level': 2025, 'target_conrey_index': 28, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503737099878481, 'target_is_minimal': False, 'target_label': '81.2.c.b.28.2', 'target_level': 81, 'twist_class_label': '81.2.a.a.1.1', 'twist_class_level': 81, 'twisting_char_label': '45.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 47156058
{'conductor': 55, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738153, 'source_is_minimal': False, 'source_label': '2025.2.b.k.649.2', 'source_level': 2025, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 94575592208344649, 'target_is_minimal': False, 'target_label': '9801.2.a.v.1.2', 'target_level': 9801, 'twist_class_label': '81.2.a.a.1.1', 'twist_class_level': 81, 'twisting_char_label': '55.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 47156059
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738153, 'source_is_minimal': False, 'source_label': '2025.2.b.k.649.2', 'source_level': 2025, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050394816742672, 'target_is_minimal': False, 'target_label': '1296.2.a.o.1.1', 'target_level': 1296, 'twist_class_label': '81.2.a.a.1.1', 'twist_class_level': 81, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 47156060
{'conductor': 105, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738153, 'source_is_minimal': False, 'source_label': '2025.2.b.k.649.2', 'source_level': 2025, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36028797052522369, 'target_is_minimal': False, 'target_label': '3969.2.a.i.1.2', 'target_level': 3969, 'twist_class_label': '81.2.a.a.1.1', 'twist_class_level': 81, 'twisting_char_label': '105.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 47156061
{'conductor': 120, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738153, 'source_is_minimal': False, 'source_label': '2025.2.b.k.649.2', 'source_level': 2025, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 193654784010490944, 'target_is_minimal': False, 'target_label': '5184.2.a.br.1.2', 'target_level': 5184, 'twist_class_label': '81.2.a.a.1.1', 'twist_class_level': 81, 'twisting_char_label': '120.53', 'twisting_conrey_index': 53, 'weight': 2}
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id: 47156062
{'conductor': 120, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738153, 'source_is_minimal': False, 'source_label': '2025.2.b.k.649.2', 'source_level': 2025, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 189151184383120448, 'target_is_minimal': False, 'target_label': '5184.2.a.bq.1.2', 'target_level': 5184, 'twist_class_label': '81.2.a.a.1.1', 'twist_class_level': 81, 'twisting_char_label': '120.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 47156063
{'conductor': 135, 'degree': 12, 'order': 36, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738153, 'source_is_minimal': False, 'source_label': '2025.2.b.k.649.2', 'source_level': 2025, 'target_conrey_index': 163, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050669694649049, 'target_is_minimal': False, 'target_label': '729.2.e.o.163.2', 'target_level': 729, 'twist_class_label': '81.2.a.a.1.1', 'twist_class_level': 81, 'twisting_char_label': '135.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 47156064
{'conductor': 135, 'degree': 12, 'order': 36, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738153, 'source_is_minimal': False, 'source_label': '2025.2.b.k.649.2', 'source_level': 2025, 'target_conrey_index': 406, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050669694649049, 'target_is_minimal': False, 'target_label': '729.2.e.o.406.2', 'target_level': 729, 'twist_class_label': '81.2.a.a.1.1', 'twist_class_level': 81, 'twisting_char_label': '135.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 47156065
{'conductor': 135, 'degree': 12, 'order': 36, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738153, 'source_is_minimal': False, 'source_label': '2025.2.b.k.649.2', 'source_level': 2025, 'target_conrey_index': 82, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050669694649049, 'target_is_minimal': False, 'target_label': '729.2.e.o.82.2', 'target_level': 729, 'twist_class_label': '81.2.a.a.1.1', 'twist_class_level': 81, 'twisting_char_label': '135.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 47156066
{'conductor': 135, 'degree': 12, 'order': 36, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738153, 'source_is_minimal': False, 'source_label': '2025.2.b.k.649.2', 'source_level': 2025, 'target_conrey_index': 82, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050669694649049, 'target_is_minimal': False, 'target_label': '729.2.e.o.82.1', 'target_level': 729, 'twist_class_label': '81.2.a.a.1.1', 'twist_class_level': 81, 'twisting_char_label': '135.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 47156067
{'conductor': 135, 'degree': 12, 'order': 36, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738153, 'source_is_minimal': False, 'source_label': '2025.2.b.k.649.2', 'source_level': 2025, 'target_conrey_index': 406, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050669694649049, 'target_is_minimal': False, 'target_label': '729.2.e.o.406.1', 'target_level': 729, 'twist_class_label': '81.2.a.a.1.1', 'twist_class_level': 81, 'twisting_char_label': '135.58', 'twisting_conrey_index': 58, 'weight': 2}
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id: 47156068
{'conductor': 135, 'degree': 12, 'order': 36, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738153, 'source_is_minimal': False, 'source_label': '2025.2.b.k.649.2', 'source_level': 2025, 'target_conrey_index': 163, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050669694649049, 'target_is_minimal': False, 'target_label': '729.2.e.o.163.1', 'target_level': 729, 'twist_class_label': '81.2.a.a.1.1', 'twist_class_level': 81, 'twisting_char_label': '135.68', 'twisting_conrey_index': 68, 'weight': 2}
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id: 47156069
{'conductor': 135, 'degree': 12, 'order': 36, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738153, 'source_is_minimal': False, 'source_label': '2025.2.b.k.649.2', 'source_level': 2025, 'target_conrey_index': 568, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050669694649049, 'target_is_minimal': False, 'target_label': '729.2.e.o.568.1', 'target_level': 729, 'twist_class_label': '81.2.a.a.1.1', 'twist_class_level': 81, 'twisting_char_label': '135.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 47156070
{'conductor': 135, 'degree': 12, 'order': 36, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738153, 'source_is_minimal': False, 'source_label': '2025.2.b.k.649.2', 'source_level': 2025, 'target_conrey_index': 325, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050669694649049, 'target_is_minimal': False, 'target_label': '729.2.e.o.325.1', 'target_level': 729, 'twist_class_label': '81.2.a.a.1.1', 'twist_class_level': 81, 'twisting_char_label': '135.88', 'twisting_conrey_index': 88, 'weight': 2}
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id: 47156071
{'conductor': 135, 'degree': 12, 'order': 36, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738153, 'source_is_minimal': False, 'source_label': '2025.2.b.k.649.2', 'source_level': 2025, 'target_conrey_index': 649, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050669694649049, 'target_is_minimal': False, 'target_label': '729.2.e.o.649.1', 'target_level': 729, 'twist_class_label': '81.2.a.a.1.1', 'twist_class_level': 81, 'twisting_char_label': '135.103', 'twisting_conrey_index': 103, 'weight': 2}
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id: 47156072
{'conductor': 135, 'degree': 12, 'order': 36, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738153, 'source_is_minimal': False, 'source_label': '2025.2.b.k.649.2', 'source_level': 2025, 'target_conrey_index': 649, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050669694649049, 'target_is_minimal': False, 'target_label': '729.2.e.o.649.2', 'target_level': 729, 'twist_class_label': '81.2.a.a.1.1', 'twist_class_level': 81, 'twisting_char_label': '135.113', 'twisting_conrey_index': 113, 'weight': 2}
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id: 47156073
{'conductor': 135, 'degree': 12, 'order': 36, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738153, 'source_is_minimal': False, 'source_label': '2025.2.b.k.649.2', 'source_level': 2025, 'target_conrey_index': 325, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050669694649049, 'target_is_minimal': False, 'target_label': '729.2.e.o.325.2', 'target_level': 729, 'twist_class_label': '81.2.a.a.1.1', 'twist_class_level': 81, 'twisting_char_label': '135.128', 'twisting_conrey_index': 128, 'weight': 2}
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id: 47156074
{'conductor': 135, 'degree': 12, 'order': 36, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738153, 'source_is_minimal': False, 'source_label': '2025.2.b.k.649.2', 'source_level': 2025, 'target_conrey_index': 568, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050669694649049, 'target_is_minimal': False, 'target_label': '729.2.e.o.568.2', 'target_level': 729, 'twist_class_label': '81.2.a.a.1.1', 'twist_class_level': 81, 'twisting_char_label': '135.133', 'twisting_conrey_index': 133, 'weight': 2}
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id: 47156075
{'conductor': 165, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738153, 'source_is_minimal': False, 'source_label': '2025.2.b.k.649.2', 'source_level': 2025, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 94575592208344649, 'target_is_minimal': False, 'target_label': '9801.2.a.v.1.1', 'target_level': 9801, 'twist_class_label': '81.2.a.a.1.1', 'twist_class_level': 81, 'twisting_char_label': '165.98', 'twisting_conrey_index': 98, 'weight': 2}
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id: 47156076
{'conductor': 180, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738153, 'source_is_minimal': False, 'source_label': '2025.2.b.k.649.2', 'source_level': 2025, 'target_conrey_index': 865, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 81065343082038544, 'target_is_minimal': False, 'target_label': '1296.2.i.s.865.2', 'target_level': 1296, 'twist_class_label': '81.2.a.a.1.1', 'twist_class_level': 81, 'twisting_char_label': '180.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 47156077
{'conductor': 180, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738153, 'source_is_minimal': False, 'source_label': '2025.2.b.k.649.2', 'source_level': 2025, 'target_conrey_index': 433, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81065343082038544, 'target_is_minimal': False, 'target_label': '1296.2.i.s.433.1', 'target_level': 1296, 'twist_class_label': '81.2.a.a.1.1', 'twist_class_level': 81, 'twisting_char_label': '180.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 47156078
{'conductor': 180, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738153, 'source_is_minimal': False, 'source_label': '2025.2.b.k.649.2', 'source_level': 2025, 'target_conrey_index': 433, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 81065343082038544, 'target_is_minimal': False, 'target_label': '1296.2.i.s.433.2', 'target_level': 1296, 'twist_class_label': '81.2.a.a.1.1', 'twist_class_level': 81, 'twisting_char_label': '180.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 47156079
{'conductor': 180, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036065026738153, 'source_is_minimal': False, 'source_label': '2025.2.b.k.649.2', 'source_level': 2025, 'target_conrey_index': 865, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81065343082038544, 'target_is_minimal': False, 'target_label': '1296.2.i.s.865.1', 'target_level': 1296, 'twist_class_label': '81.2.a.a.1.1', 'twist_class_level': 81, '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: 2374450
{'charpoly_factorization': [[[3, 0, 1], 2]], 'hecke_orbit_code': 45036065026738153, 'p': 2}
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id: 2374451
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 45036065026738153, 'p': 3}
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id: 2374452
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 45036065026738153, 'p': 5}
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id: 2374453
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 45036065026738153, 'p': 7}
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id: 2374454
{'charpoly_factorization': [[[-12, 0, 1], 2]], 'hecke_orbit_code': 45036065026738153, 'p': 11}
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id: 2374455
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 45036065026738153, 'p': 13}
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id: 2374456
{'charpoly_factorization': [[[27, 0, 1], 2]], 'hecke_orbit_code': 45036065026738153, 'p': 17}
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id: 2374457
{'charpoly_factorization': [[[2, 1], 4]], 'hecke_orbit_code': 45036065026738153, 'p': 19}
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id: 2374458
{'charpoly_factorization': [[[12, 0, 1], 2]], 'hecke_orbit_code': 45036065026738153, 'p': 23}
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id: 2374459
{'charpoly_factorization': [[[-3, 0, 1], 2]], 'hecke_orbit_code': 45036065026738153, 'p': 29}
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id: 2374460
{'charpoly_factorization': [[[-8, 1], 4]], 'hecke_orbit_code': 45036065026738153, 'p': 31}
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id: 2374461
{'charpoly_factorization': [[[49, 0, 1], 2]], 'hecke_orbit_code': 45036065026738153, 'p': 37}
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id: 2374462
{'charpoly_factorization': [[[-48, 0, 1], 2]], 'hecke_orbit_code': 45036065026738153, 'p': 41}
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id: 2374463
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 45036065026738153, 'p': 43}
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id: 2374464
{'charpoly_factorization': [[[48, 0, 1], 2]], 'hecke_orbit_code': 45036065026738153, 'p': 47}
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id: 2374465
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 45036065026738153, 'p': 53}
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id: 2374466
{'charpoly_factorization': [[[-192, 0, 1], 2]], 'hecke_orbit_code': 45036065026738153, 'p': 59}
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id: 2374467
{'charpoly_factorization': [[[7, 1], 4]], 'hecke_orbit_code': 45036065026738153, 'p': 61}
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id: 2374468
{'charpoly_factorization': [[[100, 0, 1], 2]], 'hecke_orbit_code': 45036065026738153, 'p': 67}
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id: 2374469
{'charpoly_factorization': [[[-108, 0, 1], 2]], 'hecke_orbit_code': 45036065026738153, 'p': 71}
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id: 2374470
{'charpoly_factorization': [[[49, 0, 1], 2]], 'hecke_orbit_code': 45036065026738153, 'p': 73}
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id: 2374471
{'charpoly_factorization': [[[2, 1], 4]], 'hecke_orbit_code': 45036065026738153, 'p': 79}
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id: 2374472
{'charpoly_factorization': [[[192, 0, 1], 2]], 'hecke_orbit_code': 45036065026738153, 'p': 83}
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id: 2374473
{'charpoly_factorization': [[[-27, 0, 1], 2]], 'hecke_orbit_code': 45036065026738153, 'p': 89}
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id: 2374474
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 45036065026738153, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 11, 'label': '2025.2.b.k', 'level': 2025, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 55384837
{'hecke_orbit_code': 45036065026738153, 'n': 1, 'trace_an': 4}
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id: 55384838
{'hecke_orbit_code': 45036065026738153, 'n': 2, 'trace_an': 0}
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id: 55384839
{'hecke_orbit_code': 45036065026738153, 'n': 3, 'trace_an': 0}
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id: 55384840
{'hecke_orbit_code': 45036065026738153, 'n': 4, 'trace_an': -4}
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id: 55384841
{'hecke_orbit_code': 45036065026738153, 'n': 5, 'trace_an': 0}
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id: 55384842
{'hecke_orbit_code': 45036065026738153, 'n': 6, 'trace_an': 0}
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id: 55384843
{'hecke_orbit_code': 45036065026738153, 'n': 7, 'trace_an': 0}
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id: 55384844
{'hecke_orbit_code': 45036065026738153, 'n': 8, 'trace_an': 0}
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id: 55384845
{'hecke_orbit_code': 45036065026738153, 'n': 9, 'trace_an': 0}
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id: 55384846
{'hecke_orbit_code': 45036065026738153, 'n': 10, 'trace_an': 0}
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id: 55384847
{'hecke_orbit_code': 45036065026738153, 'n': 11, 'trace_an': 0}
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id: 55384848
{'hecke_orbit_code': 45036065026738153, 'n': 12, 'trace_an': 0}
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id: 55384849
{'hecke_orbit_code': 45036065026738153, 'n': 13, 'trace_an': 0}
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id: 55384850
{'hecke_orbit_code': 45036065026738153, 'n': 14, 'trace_an': 0}
-
id: 55384851
{'hecke_orbit_code': 45036065026738153, 'n': 15, 'trace_an': 0}
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id: 55384852
{'hecke_orbit_code': 45036065026738153, 'n': 16, 'trace_an': -20}
-
id: 55384853
{'hecke_orbit_code': 45036065026738153, 'n': 17, 'trace_an': 0}
-
id: 55384854
{'hecke_orbit_code': 45036065026738153, 'n': 18, 'trace_an': 0}
-
id: 55384855
{'hecke_orbit_code': 45036065026738153, 'n': 19, 'trace_an': -8}
-
id: 55384856
{'hecke_orbit_code': 45036065026738153, 'n': 20, 'trace_an': 0}
-
id: 55384857
{'hecke_orbit_code': 45036065026738153, 'n': 21, 'trace_an': 0}
-
id: 55384858
{'hecke_orbit_code': 45036065026738153, 'n': 22, 'trace_an': 0}
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id: 55384859
{'hecke_orbit_code': 45036065026738153, 'n': 23, 'trace_an': 0}
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id: 55384860
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