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mf_newforms • Show schema
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{'Nk2': 900, 'analytic_conductor': 1.7966340454788086, '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': [225, 6, [101, 127], [2, 3]], 'cm_discs': [], 'conrey_indexes': [49, 124], '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': 4504286855692513, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 64, 'hecke_ring_index_factorization': [[2, 6]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], 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mf_hecke_cc • Show schema
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'225.2.k.b.124.4', 'level': 225, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 900, 'analytic_conductor': 1.7966340454788086, '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': [225, 6, [101, 127], [2, 3]], 'conrey_indexes': [49, 124], 'cusp_dim': 48, 'dim': 32, 'eis_dim': 24, 'eis_new_dim': 8, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 687228322017, 'hecke_orbit_dims': [4, 12, 16], 'label': '225.2.k', 'level': 225, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 72, 'mf_new_dim': 40, 'num_forms': 3, 'prim_orbit_index': 10, 'relative_dim': 16, 'sturm_bound': 60, 'trace_bound': 1, 'trace_display': [0, 0, 0, 0], 'traces': [32, 0, 0, 16, 0, 8, 0, 0, -2, 0, 10, 0, 0, -18, 0, -16, 0, 0, 8, 0, -30, 0, 0, 18, 0, -56, 0, 0, -14, 0, -8, 0, 0, 18, 0, 4, 0, 0, -10, 0, 26, 0, 0, -8, 0, 0, 0, 0, -6, 0, -10, 0, 0, -44, 0, 60, 0, 0, 2, 0, 10, 0, 0, -44, 0, -32, 0, 0, -42, 0, -64, 0, 0, 40, 0, -14, 0, 0, -22, 0, -22, 0, 0, 18, 0, 28, 0, 0, 132, 0, -4, 0, 0, -42, 0, 124, 0, 0, 2, 0, 24, 0, 0, 48, 0, 6, 0, 0, 56, 0, -124, 0, 0, 4, 0, -68, 0, 0, -6, 0, 26, 0, 0, 26, 0, 78, 0, 0, 14, 0, 78, 0, 0, -180, 0, 0, 0, 0, 44, 0, 122, 0, 0, 134, 0, -38, 0, 0, -38, 0, -38, 0, 0, -48, 0, 32, 0, 0, -2, 0, 96, 0, 0, -124, 0, -36, 0, 0, -24, 0, -10, 0, 0, 118, 0, 44, 0, 0, 32, 0, -128, 0, 0, 6, 0, 84, 0, 0, 0, 0, 32, 0, 0, 40, 0, 42, 0, 0, -76, 0, 66, 0, 0, -4, 0, -148, 0, 0, 38, 0, 16, 0, 0, -78, 0, -276, 0, 0, -148, 0, -98, 0, 0, -36, 0, -48, 0, 0, -70, 0, -114, 0, 0, 26, 0, -82, 0, 0, -142, 0, 52, 0, 0, 176, 0, -40, 0, 0, 30, 0, -144, 0, 0, 128, 0, 68, 0, 0, 46, 0, 2, 0, 0, -36, 0, -60, 0, 0, 56, 0, 16, 0, 0, 90, 0, -204, 0, 0, -108, 0, 42, 0, 0, 128, 0, 12, 0, 0, 76, 0, 164, 0, 0, -178, 0, 348, 0, 0, -120, 0, 50, 0, 0, 98, 0, 128, 0, 0, -80, 0, -84, 0, 0, 268, 0, 100, 0, 0, -78, 0, 66, 0, 0, -238, 0, 62, 0, 0, -24, 0, 16, 0, 0, -264, 0, -30, 0, 0, 292, 0, 240, 0, 0, 126, 0, -30, 0, 0, -130, 0, 214, 0, 0, 224, 0, 102, 0, 0, -48, 0, -24, 0, 0, -80, 0, 44, 0, 0, 316, 0, -84, 0, 0, 8, 0, -18, 0, 0, 236, 0, 82, 0, 0, -186, 0, 380, 0, 0, -114, 0, -12, 0, 0, 114, 0, 56, 0, 0, 60, 0, -42, 0, 0, -324, 0, 108, 0, 0, 98, 0, -186, 0, 0, -222, 0, -154, 0, 0, 100, 0, -86, 0, 0, 120, 0, -100, 0, 0, -38, 0, -372, 0, 0, 162, 0, -80, 0, 0, 44, 0, -332, 0, 0, -238, 0, -274, 0, 0, 80, 0, 84, 0, 0, 36, 0, -480, 0, 0, 214, 0, -168, 0, 0, -286, 0, -90, 0, 0, -236, 0, 38, 0, 0, 216, 0, -228, 0, 0, -24, 0, -4, 0, 0, -194, 0, 80, 0, 0, -146, 0, -40, 0, 0, -316, 0, 40, 0, 0, 8, 0, -126, 0, 0, -174, 0, 96, 0, 0, 116, 0, 98, 0, 0, 84, 0, 446, 0, 0, -180, 0, 272, 0, 0, 6, 0, 42, 0, 0, 22, 0, 262, 0, 0, 90, 0, -210, 0, 0, 124, 0, -104, 0, 0, 210, 0, -18, 0, 0, -26, 0, 98, 0, 0, 240, 0, 70, 0, 0, -8, 0, -2, 0, 0, 344, 0, 336, 0, 0, 18, 0, -38, 0, 0, 72, 0, 314, 0, 0, 16, 0, 204, 0, 0, -84, 0, 60, 0, 0, -14, 0, 24, 0, 0, 260, 0, -146, 0, 0, -182, 0, -56, 0, 0, -304, 0, 84, 0, 0, -192, 0, 196, 0, 0, -286, 0, 30, 0, 0, 26, 0, -96, 0, 0, 172, 0, 284, 0, 0, 52, 0, 208, 0, 0, -198, 0, 118, 0, 0, -152, 0, -204, 0, 0, 198, 0, -204, 0, 0, 0, 0, 102, 0, 0, 152, 0, -428, 0, 0, 116, 0, -164, 0, 0, 90, 0, -580, 0, 0, -122, 0, 142, 0, 0, 140, 0, -384, 0, 0, -2, 0, -2, 0, 0, 284, 0, -72, 0, 0, -142, 0, 4, 0, 0, -60, 0, -66, 0, 0, 114, 0, -4, 0, 0, 122, 0, -126, 0, 0, 146, 0, 138, 0, 0, 114, 0, -184, 0, 0, -60, 0, -52, 0, 0, -154, 0, 28, 0, 0, -116, 0, 322, 0, 0, 72, 0, 0, 0, 0, -292, 0, -32, 0, 0, -288, 0, 232, 0, 0, -42, 0, -80, 0, 0, -222, 0, 504, 0, 0, -120, 0, -120, 0, 0, 872, 0, 120, 0, 0, -100, 0, 96, 0, 0, -514, 0, 318, 0, 0, 28, 0, 6, 0, 0, 504, 0, -294, 0, 0, 380, 0, 36, 0, 0, 68, 0, 190, 0, 0, 120, 0, -72, 0, 0, 54, 0, 162, 0, 0, -296, 0, 172, 0, 0, 204, 0, 544, 0, 0, 306, 0, -144, 0, 0, -132, 0, 132, 0, 0, -28, 0, -258, 0, 0, -508, 0, -4, 0, 0, -254, 0, 86, 0, 0, -172, 0, -166, 0, 0, 132, 0, 90, 0, 0, -288, 0, -156, 0, 0, 44, 0, 234, 0, 0, -346, 0, -146, 0, 0, 192, 0, 146, 0, 0, -60, 0, -280, 0, 0, -294, 0, -488, 0, 0, 124, 0, 222, 0, 0, -110, 0, -320, 0, 0, -170, 0, -84, 0, 0, 324, 0, 0, 0, 0, -90, 0, -298, 0, 0, 210, 0, -14, 0, 0, -382, 0, 220, 0, 0, 176, 0, -158, 0, 0, 300, 0, -972, 0, 0, -38, 0, -72, 0, 0, -12, 0, -204, 0, 0, -68, 0, -214, 0, 0, -512, 0, -324, 0, 0, 94, 0, -200, 0, 0, 76, 0, 464, 0, 0, 30, 0, -72, 0, 0, 236, 0, 60, 0, 0, -86, 0, -228, 0, 0, -80, 0, 172, 0, 0, 126, 0, -44, 0, 0, 204, 0, 182, 0, 0, 108, 0, -344, 0, 0, -66, 0, 264, 0, 0, 34, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 36051818
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 124, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4504286855692513, 'source_is_minimal': False, 'source_label': '225.2.k.b.124.4', 'source_level': 225, 'target_conrey_index': 124, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504286855692513, 'target_is_minimal': False, 'target_label': '225.2.k.b.124.4', 'target_level': 225, 'twist_class_label': '45.2.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 36051819
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 124, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4504286855692513, 'source_is_minimal': False, 'source_label': '225.2.k.b.124.4', 'source_level': 225, 'target_conrey_index': 424, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504286855692963, 'target_is_minimal': False, 'target_label': '675.2.k.b.424.3', 'target_level': 675, 'twist_class_label': '45.2.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 36051820
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 124, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4504286855692513, 'source_is_minimal': False, 'source_label': '225.2.k.b.124.4', 'source_level': 225, 'target_conrey_index': 16, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503874538831917, 'target_is_minimal': True, 'target_label': '45.2.e.b.16.2', 'target_level': 45, 'twist_class_label': '45.2.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 36051821
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 124, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4504286855692513, 'source_is_minimal': False, 'source_label': '225.2.k.b.124.4', 'source_level': 225, 'target_conrey_index': 151, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503874538832097, 'target_is_minimal': False, 'target_label': '225.2.e.b.151.2', 'target_level': 225, 'twist_class_label': '45.2.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 36051822
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 124, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4504286855692513, 'source_is_minimal': False, 'source_label': '225.2.k.b.124.4', 'source_level': 225, 'target_conrey_index': 124, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504286855692513, 'target_is_minimal': False, 'target_label': '225.2.k.b.124.3', 'target_level': 225, 'twist_class_label': '45.2.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 36051823
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 124, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4504286855692513, 'source_is_minimal': False, 'source_label': '225.2.k.b.124.4', 'source_level': 225, 'target_conrey_index': 649, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 54043264281479145, 'target_is_minimal': False, 'target_label': '2025.2.b.m.649.4', 'target_level': 2025, 'twist_class_label': '45.2.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 36051824
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 124, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4504286855692513, 'source_is_minimal': False, 'source_label': '225.2.k.b.124.4', 'source_level': 225, 'target_conrey_index': 49, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504286855692513, 'target_is_minimal': False, 'target_label': '225.2.k.b.49.3', 'target_level': 225, 'twist_class_label': '45.2.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 36051825
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 124, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4504286855692513, 'source_is_minimal': False, 'source_label': '225.2.k.b.124.4', 'source_level': 225, 'target_conrey_index': 199, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504286855692963, 'target_is_minimal': False, 'target_label': '675.2.k.b.199.4', 'target_level': 675, 'twist_class_label': '45.2.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 36051826
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 124, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4504286855692513, 'source_is_minimal': False, 'source_label': '225.2.k.b.124.4', 'source_level': 225, 'target_conrey_index': 649, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 49539664654108649, 'target_is_minimal': False, 'target_label': '2025.2.b.l.649.3', 'target_level': 2025, 'twist_class_label': '45.2.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 36051827
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 124, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4504286855692513, 'source_is_minimal': False, 'source_label': '225.2.k.b.124.4', 'source_level': 225, 'target_conrey_index': 46, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503874538832007, 'target_is_minimal': False, 'target_label': '135.2.e.b.46.2', 'target_level': 135, 'twist_class_label': '45.2.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 36051828
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 124, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4504286855692513, 'source_is_minimal': False, 'source_label': '225.2.k.b.124.4', 'source_level': 225, 'target_conrey_index': 451, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503874538832547, 'target_is_minimal': False, 'target_label': '675.2.e.b.451.2', 'target_level': 675, 'twist_class_label': '45.2.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 36051829
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 124, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4504286855692513, 'source_is_minimal': False, 'source_label': '225.2.k.b.124.4', 'source_level': 225, 'target_conrey_index': 424, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504286855692963, 'target_is_minimal': False, 'target_label': '675.2.k.b.424.4', 'target_level': 675, 'twist_class_label': '45.2.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 36051830
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 124, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4504286855692513, 'source_is_minimal': False, 'source_label': '225.2.k.b.124.4', 'source_level': 225, 'target_conrey_index': 241, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029896564146896, 'target_is_minimal': False, 'target_label': '720.2.q.i.241.2', 'target_level': 720, 'twist_class_label': '45.2.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 36051831
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 124, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4504286855692513, 'source_is_minimal': False, 'source_label': '225.2.k.b.124.4', 'source_level': 225, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36028797052518805, 'target_is_minimal': False, 'target_label': '405.2.a.i.1.2', 'target_level': 405, 'twist_class_label': '45.2.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '45.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 36051832
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 124, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4504286855692513, 'source_is_minimal': False, 'source_label': '225.2.k.b.124.4', 'source_level': 225, 'target_conrey_index': 49, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504286855692513, 'target_is_minimal': False, 'target_label': '225.2.k.b.49.4', 'target_level': 225, 'twist_class_label': '45.2.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '45.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 36051833
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 124, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4504286855692513, 'source_is_minimal': False, 'source_label': '225.2.k.b.124.4', 'source_level': 225, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532396679889301, 'target_is_minimal': False, 'target_label': '405.2.a.j.1.2', 'target_level': 405, 'twist_class_label': '45.2.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '45.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 36051834
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 124, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4504286855692513, 'source_is_minimal': False, 'source_label': '225.2.k.b.124.4', 'source_level': 225, 'target_conrey_index': 76, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503874538832097, 'target_is_minimal': False, 'target_label': '225.2.e.b.76.2', 'target_level': 225, 'twist_class_label': '45.2.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '45.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 36051835
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 124, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4504286855692513, 'source_is_minimal': False, 'source_label': '225.2.k.b.124.4', 'source_level': 225, 'target_conrey_index': 199, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504286855692963, 'target_is_minimal': False, 'target_label': '675.2.k.b.199.3', 'target_level': 675, 'twist_class_label': '45.2.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '45.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 36051836
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 124, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4504286855692513, 'source_is_minimal': False, 'source_label': '225.2.k.b.124.4', 'source_level': 225, 'target_conrey_index': 31, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503874538831917, 'target_is_minimal': True, 'target_label': '45.2.e.b.31.2', 'target_level': 45, 'twist_class_label': '45.2.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '45.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 36051837
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 124, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4504286855692513, 'source_is_minimal': False, 'source_label': '225.2.k.b.124.4', 'source_level': 225, 'target_conrey_index': 226, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503874538832547, 'target_is_minimal': False, 'target_label': '675.2.e.b.226.2', 'target_level': 675, 'twist_class_label': '45.2.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '45.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 36051838
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 124, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4504286855692513, 'source_is_minimal': False, 'source_label': '225.2.k.b.124.4', 'source_level': 225, 'target_conrey_index': 649, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 54043264281479145, 'target_is_minimal': False, 'target_label': '2025.2.b.m.649.3', 'target_level': 2025, 'twist_class_label': '45.2.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '45.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 36051839
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 124, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4504286855692513, 'source_is_minimal': False, 'source_label': '225.2.k.b.124.4', 'source_level': 225, 'target_conrey_index': 91, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503874538832007, 'target_is_minimal': False, 'target_label': '135.2.e.b.91.2', 'target_level': 135, 'twist_class_label': '45.2.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 36051840
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 124, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4504286855692513, 'source_is_minimal': False, 'source_label': '225.2.k.b.124.4', 'source_level': 225, 'target_conrey_index': 649, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 49539664654108649, 'target_is_minimal': False, 'target_label': '2025.2.b.l.649.4', 'target_level': 2025, 'twist_class_label': '45.2.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '45.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 36051841
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 124, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4504286855692513, 'source_is_minimal': False, 'source_label': '225.2.k.b.124.4', 'source_level': 225, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050394816743401, 'target_is_minimal': False, 'target_label': '2025.2.a.o.1.2', 'target_level': 2025, 'twist_class_label': '45.2.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '45.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 36051842
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 124, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4504286855692513, 'source_is_minimal': False, 'source_label': '225.2.k.b.124.4', 'source_level': 225, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58546795189372905, 'target_is_minimal': False, 'target_label': '2025.2.a.n.1.2', 'target_level': 2025, 'twist_class_label': '45.2.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '45.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 36051843
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 124, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4504286855692513, 'source_is_minimal': False, 'source_label': '225.2.k.b.124.4', 'source_level': 225, 'target_conrey_index': 721, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45037095818889328, 'target_is_minimal': False, 'target_label': '2160.2.q.k.721.2', 'target_level': 2160, 'twist_class_label': '45.2.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 36051844
{'conductor': 180, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 124, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4504286855692513, 'source_is_minimal': False, 'source_label': '225.2.k.b.124.4', 'source_level': 225, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 211669182519974224, 'target_is_minimal': False, 'target_label': '6480.2.a.bv.1.2', 'target_level': 6480, 'twist_class_label': '45.2.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '180.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 36051845
{'conductor': 180, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 124, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4504286855692513, 'source_is_minimal': False, 'source_label': '225.2.k.b.124.4', 'source_level': 225, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 198158383637862736, 'target_is_minimal': False, 'target_label': '6480.2.a.bs.1.2', 'target_level': 6480, 'twist_class_label': '45.2.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '180.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 36051846
{'conductor': 180, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 124, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4504286855692513, 'source_is_minimal': False, 'source_label': '225.2.k.b.124.4', 'source_level': 225, 'target_conrey_index': 481, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029896564146896, 'target_is_minimal': False, 'target_label': '720.2.q.i.481.2', 'target_level': 720, 'twist_class_label': '45.2.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '180.67', 'twisting_conrey_index': 67, 'weight': 2}
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id: 36051847
{'conductor': 180, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 124, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4504286855692513, 'source_is_minimal': False, 'source_label': '225.2.k.b.124.4', 'source_level': 225, 'target_conrey_index': 1441, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45037095818889328, 'target_is_minimal': False, 'target_label': '2160.2.q.k.1441.2', 'target_level': 2160, 'twist_class_label': '45.2.e.b.16.2', 'twist_class_level': 45, '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: 538225
{'charpoly_factorization': [[[81, 0, -279, 0, 862, 0, -323, 0, 90, 0, -11, 0, 1], 1]], 'hecke_orbit_code': 4504286855692513, 'p': 2}
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id: 538226
{'charpoly_factorization': [[[729, 0, -567, 0, 306, 0, -123, 0, 34, 0, -7, 0, 1], 1]], 'hecke_orbit_code': 4504286855692513, 'p': 3}
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id: 538227
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4504286855692513, 'p': 5}
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id: 538228
{'charpoly_factorization': [[[81, 0, -351, 0, 1350, 0, -723, 0, 322, 0, -19, 0, 1], 1]], 'hecke_orbit_code': 4504286855692513, 'p': 7}
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id: 538229
{'charpoly_factorization': [[[144, -96, 88, -8, 12, -2, 1], 2]], 'hecke_orbit_code': 4504286855692513, 'p': 11}
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id: 538230
{'charpoly_factorization': [[[256, 0, -768, 0, 1920, 0, -1120, 0, 528, 0, -24, 0, 1], 1]], 'hecke_orbit_code': 4504286855692513, 'p': 13}
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id: 538231
{'charpoly_factorization': [[[144, 0, 112, 0, 20, 0, 1], 2]], 'hecke_orbit_code': 4504286855692513, 'p': 17}
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id: 538232
{'charpoly_factorization': [[[-4, -4, 4, 1], 4]], 'hecke_orbit_code': 4504286855692513, 'p': 19}
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id: 538233
{'charpoly_factorization': [[[187388721, 0, -24516999, 0, 2181006, 0, -106947, 0, 3834, 0, -75, 0, 1], 1]], 'hecke_orbit_code': 4504286855692513, 'p': 23}
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id: 538234
{'charpoly_factorization': [[[2601, 1479, 1198, -101, 78, 7, 1], 2]], 'hecke_orbit_code': 4504286855692513, 'p': 29}
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id: 538235
{'charpoly_factorization': [[[219024, 28080, 7344, 456, 124, 8, 1], 2]], 'hecke_orbit_code': 4504286855692513, 'p': 31}
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id: 538236
{'charpoly_factorization': [[[16, 0, 192, 0, 60, 0, 1], 2]], 'hecke_orbit_code': 4504286855692513, 'p': 37}
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id: 538237
{'charpoly_factorization': [[[9, -57, 322, -241, 150, -13, 1], 2]], 'hecke_orbit_code': 4504286855692513, 'p': 41}
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id: 538238
{'charpoly_factorization': [[[256, 0, -1536, 0, 7488, 0, -10336, 0, 11568, 0, -108, 0, 1], 1]], 'hecke_orbit_code': 4504286855692513, 'p': 43}
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id: 538239
{'charpoly_factorization': [[[18539817921, 0, -1322804115, 0, 68374474, 0, -1583243, 0, 26766, 0, -191, 0, 1], 1]], 'hecke_orbit_code': 4504286855692513, 'p': 47}
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id: 538240
{'charpoly_factorization': [[[576, 0, 496, 0, 44, 0, 1], 2]], 'hecke_orbit_code': 4504286855692513, 'p': 53}
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id: 538241
{'charpoly_factorization': [[[576, 480, 448, 8, 24, 2, 1], 2]], 'hecke_orbit_code': 4504286855692513, 'p': 59}
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id: 538242
{'charpoly_factorization': [[[5041, -2627, 1298, -179, 38, 1, 1], 2]], 'hecke_orbit_code': 4504286855692513, 'p': 61}
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id: 538243
{'charpoly_factorization': [[[66074188401, 0, -3258096075, 0, 109502874, 0, -2008227, 0, 26926, 0, -199, 0, 1], 1]], 'hecke_orbit_code': 4504286855692513, 'p': 67}
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id: 538244
{'charpoly_factorization': [[[-708, -92, 10, 1], 4]], 'hecke_orbit_code': 4504286855692513, 'p': 71}
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id: 538245
{'charpoly_factorization': [[[16384, 0, 6144, 0, 192, 0, 1], 2]], 'hecke_orbit_code': 4504286855692513, 'p': 73}
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id: 538246
{'charpoly_factorization': [[[576, 2016, 7008, 216, 88, -2, 1], 2]], 'hecke_orbit_code': 4504286855692513, 'p': 79}
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id: 538247
{'charpoly_factorization': [[[43046721, 0, -20726199, 0, 8857350, 0, -527067, 0, 26082, 0, -171, 0, 1], 1]], 'hecke_orbit_code': 4504286855692513, 'p': 83}
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id: 538248
{'charpoly_factorization': [[[-3, 1], 12]], 'hecke_orbit_code': 4504286855692513, 'p': 89}
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id: 538249
{'charpoly_factorization': [[[2891414573056, 0, -82028067840, 0, 1653732864, 0, -15702208, 0, 108576, 0, -396, 0, 1], 1]], 'hecke_orbit_code': 4504286855692513, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 11, 'hecke_orbit': 2, 'label': '225.2.k.b', 'level': 225, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 91602000
{'hecke_orbit_code': 4504286855692513, 'n': 1, 'trace_an': 12}
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id: 91602001
{'hecke_orbit_code': 4504286855692513, 'n': 2, 'trace_an': 0}
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id: 91602002
{'hecke_orbit_code': 4504286855692513, 'n': 3, 'trace_an': 0}
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id: 91602003
{'hecke_orbit_code': 4504286855692513, 'n': 4, 'trace_an': 10}
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id: 91602004
{'hecke_orbit_code': 4504286855692513, 'n': 5, 'trace_an': 0}
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id: 91602005
{'hecke_orbit_code': 4504286855692513, 'n': 6, 'trace_an': -8}
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id: 91602006
{'hecke_orbit_code': 4504286855692513, 'n': 7, 'trace_an': 0}
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id: 91602007
{'hecke_orbit_code': 4504286855692513, 'n': 8, 'trace_an': 0}
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id: 91602008
{'hecke_orbit_code': 4504286855692513, 'n': 9, 'trace_an': 14}
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id: 91602009
{'hecke_orbit_code': 4504286855692513, 'n': 10, 'trace_an': 0}
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id: 91602010
{'hecke_orbit_code': 4504286855692513, 'n': 11, 'trace_an': 4}
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id: 91602011
{'hecke_orbit_code': 4504286855692513, 'n': 12, 'trace_an': 0}
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id: 91602012
{'hecke_orbit_code': 4504286855692513, 'n': 13, 'trace_an': 0}
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id: 91602013
{'hecke_orbit_code': 4504286855692513, 'n': 14, 'trace_an': -18}
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id: 91602014
{'hecke_orbit_code': 4504286855692513, 'n': 15, 'trace_an': 0}
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id: 91602015
{'hecke_orbit_code': 4504286855692513, 'n': 16, 'trace_an': -10}
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id: 91602016
{'hecke_orbit_code': 4504286855692513, 'n': 17, 'trace_an': 0}
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id: 91602017
{'hecke_orbit_code': 4504286855692513, 'n': 18, 'trace_an': 0}
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id: 91602018
{'hecke_orbit_code': 4504286855692513, 'n': 19, 'trace_an': -16}
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id: 91602019
{'hecke_orbit_code': 4504286855692513, 'n': 20, 'trace_an': 0}
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id: 91602020
{'hecke_orbit_code': 4504286855692513, 'n': 21, 'trace_an': 0}
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id: 91602021
{'hecke_orbit_code': 4504286855692513, 'n': 22, 'trace_an': 0}
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id: 91602022
{'hecke_orbit_code': 4504286855692513, 'n': 23, 'trace_an': 0}
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id: 91602023
{'hecke_orbit_code': 4504286855692513, 'n': 24, 'trace_an': -30}
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id: 91602024
{'hecke_orbit_code': 4504286855692513, 'n': 25, 'trace_an': 0}
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id: 91602025
{'hecke_orbit_code': 4504286855692513, 'n': 26, 'trace_an': -8}
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id: 91602026
{'hecke_orbit_code': 4504286855692513, 'n': 27, 'trace_an': 0}
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