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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': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [675, 3, [326, 352], [1, 3]], 'cm_discs': [], 'conrey_indexes': [226, 451], 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, 1, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 274911462051, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': 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mf_hecke_cc • Show schema
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{'Nk2': 2700, 'analytic_conductor': 5.389902136436426, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [675, 3, [326, 352], [1, 3]], 'conrey_indexes': [226, 451], 'cusp_dim': 144, 'dim': 32, 'eis_dim': 72, 'eis_new_dim': 12, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 274911462051, 'hecke_orbit_dims': [2, 6, 8, 8, 8], 'label': '675.2.e', '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': 44, 'num_forms': 5, 'prim_orbit_index': 3, 'relative_dim': 16, 'sturm_bound': 180, 'trace_bound': 2, 'trace_display': [-2, 0, 0, 2], 'traces': [32, -2, 0, -12, 0, 0, 2, 0, 0, 0, 6, 0, 2, -6, 0, -8, 4, 0, 8, 0, 0, -6, -6, 0, 0, 24, 0, -16, 6, 0, 4, -22, 0, -14, 0, 0, -4, 10, 0, 0, 6, 0, 2, -72, 0, -16, -20, 0, 10, 0, 0, -10, -8, 0, 0, -48, 0, -18, 42, 0, 10, 84, 0, 28, 0, 0, 8, 26, 0, 0, -24, 0, 8, 48, 0, -30, -6, 0, 2, 0, 0, 48, 6, 0, 0, -12, 0, -18, 60, 0, -60, -36, 0, -2, 0, 0, -16, -76, 0, 0, 12, 0, 14, 48, 0, -34, 36, 0, -40, 0, 0, -10, -8, 0, 0, 60, 0, 72, 42, 0, 2, -32, 0, -6, 0, 0, -16, 24, 0, 0, -30, 0, 34, -156, 0, 112, 0, 0, -4, 0, 0, 30, 40, 0, 0, 18, 0, 26, -18, 0, 10, 12, 0, 24, 0, 0, -4, 48, 0, 0, -96, 0, -76, -84, 0, 32, -24, 0, 28, 0, 0, -100, -36, 0, 0, -72, 0, -18, -72, 0, -56, -6, 0, 14, 0, 0, 12, -28, 0, 0, 36, 0, -22, 12, 0, 78, -72, 0, -4, 0, 0, 12, -6, 0, 0, 204, 0, -4, 30, 0, 16, 8, 0, 34, 0, 0, 52, 20, 0, 0, 66, 0, -28, 108, 0, -160, 2, 0, 2, 0, 0, 12, 108, 0, 0, 54, 0, 6, -90, 0, -20, 20, 0, -96, 0, 0, 40, -42, 0, 0, 48, 0, 84, 36, 0, -12, 60, 0, 30, 0, 0, 24, -34, 0, 0, 48, 0, 74, 24, 0, 64, 14, 0, 34, 0, 0, 14, -16, 0, 0, -66, 0, 38, 48, 0, -12, -24, 0, -36, 0, 0, -4, -42, 0, 0, -300, 0, -144, -96, 0, 54, 34, 0, -62, 0, 0, -52, 18, 0, 0, 144, 0, -34, 420, 0, 60, 74, 0, -6, 0, 0, -60, -32, 0, 0, -174, 0, -78, -72, 0, 28, -48, 0, 136, 0, 0, -28, 6, 0, 0, -192, 0, -32, 30, 0, -46, -2, 0, -10, 0, 0, 36, -60, 0, 0, -174, 0, -18, -144, 0, -168, 38, 0, 36, 0, 0, -10, -12, 0, 0, 60, 0, -4, -12, 0, -74, -76, 0, -76, 0, 0, 6, -54, 0, 0, -36, 0, 200, -174, 0, -40, 42, 0, -62, 0, 0, -16, 58, 0, 0, -30, 0, 16, -132, 0, 228, 8, 0, -34, 0, 0, 14, 120, 0, 0, 126, 0, 36, 108, 0, 10, -124, 0, -88, 0, 0, -44, 12, 0, 0, 300, 0, -76, 90, 0, 60, 54, 0, -4, 0, 0, -24, 0, 0, 0, 150, 0, -64, 264, 0, 156, 20, 0, -56, 0, 0, -22, -60, 0, 0, 108, 0, -82, -306, 0, 2, -4, 0, 60, 0, 0, 12, 16, 0, 0, 348, 0, -72, 36, 0, 0, 4, 0, 114, 0, 0, 116, -30, 0, 0, 24, 0, -30, -300, 0, -88, 54, 0, -4, 0, 0, 42, 32, 0, 0, -96, 0, 62, 36, 0, -42, -140, 0, 172, 0, 0, 6, 54, 0, 0, -216, 0, 80, -18, 0, -70, 0, 0, 54, 0, 0, 52, 2, 0, 0, 114, 0, 132, 204, 0, 88, -2, 0, -138, 0, 0, 26, 24, 0, 0, -30, 0, 64, 108, 0, 126, -72, 0, 96, 0, 0, 0, -12, 0, 0, -216, 0, -156, 6, 0, 46, 8, 0, -60, 0, 0, 8, -10, 0, 0, -192, 0, 12, -60, 0, 68, -42, 0, 46, 0, 0, -22, 68, 0, 0, 90, 0, -42, -90, 0, 4, 36, 0, 0, 0, 0, -88, 14, 0, 0, -204, 0, 92, -306, 0, 6, 60, 0, -118, 0, 0, -60, -30, 0, 0, -228, 0, -88, 84, 0, -80, 36, 0, -14, 0, 0, -12, 20, 0, 0, 144, 0, 32, 126, 0, -224, 64, 0, 24, 0, 0, 62, -58, 0, 0, 276, 0, 204, 180, 0, -140, -60, 0, -70, 0, 0, -132, -42, 0, 0, -18, 0, 98, 108, 0, -216, 54, 0, 78, 0, 0, -84, -132, 0, 0, 36, 0, 74, -126, 0, 28, 168, 0, -92, 0, 0, 54, -26, 0, 0, 60, 0, -56, 54, 0, 38, -36, 0, -82, 0, 0, -72, 42, 0, 0, 264, 0, -126, -300, 0, -84, -42, 0, 78, 0, 0, 8, -60, 0, 0, -258, 0, -100, 144, 0, 12, -108, 0, -28, 0, 0, -24, -14, 0, 0, -312, 0, -96, -102, 0, -128, 56, 0, 138, 0, 0, 20, -56, 0, 0, 132, 0, 16, 744, 0, -136, -32, 0, 128, 0, 0, 110, 144, 0, 0, -282, 0, -12, 72, 0, -126, -36, 0, -184, 0, 0, 110, 96, 0, 0, -276, 0, 76, 216, 0, -42, 14, 0, -44, 0, 0, 240, 16, 0, 0, -186, 0, 132, -240, 0, 268, -60, 0, -108, 0, 0, 52, -64, 0, 0, 120, 0, 56, -96, 0, 168, 280, 0, 236, 0, 0, -22, -4, 0, 0, -132, 0, -36, -114, 0, 110, 16, 0, 276, 0, 0, 44, 44, 0, 0, -114, 0, -58, -408, 0, -212, 10, 0, -64, 0, 0, -132, 56, 0, 0, 234, 0, -110, 192, 0, 102, 84, 0, 140, 0, 0, -70, -56, 0, 0, 624, 0, -40, 168, 0, 110, -126, 0, -18, 0, 0, 44, 10, 0, 0, 144, 0, -24, 180, 0, -16, -82, 0, 62, 0, 0, -52, 52, 0, 0, 126, 0, -18, -330, 0, 24, -24, 0, -16, 0, 0, -66, 80, 0, 0, 660, 0, 60, -54, 0, -56, -126, 0, -104, 0, 0, -112, 78, 0, 0, 234, 0, -24, -624, 0, 156, -84, 0, -126, 0, 0, 42, -140, 0, 0, -336, 0, 84, 186, 0, 96, -16, 0, -372, 0, 0, 38, -36, 0, 0, 60, 0, -176, -72, 0, 344, -14, 0, -54, 0, 0, -168, 18, 0, 0, -174, 0, -44, 204, 0, 40, -6, 0, 126, 0, 0, 44, -56, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 2639201
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462051, 'source_is_minimal': False, 'source_label': '675.2.e.a.451.1', 'source_level': 675, 'target_conrey_index': 451, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911462051, 'target_is_minimal': False, 'target_label': '675.2.e.a.451.1', 'target_level': 675, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 2639202
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462051, 'source_is_minimal': False, 'source_label': '675.2.e.a.451.1', 'source_level': 675, 'target_conrey_index': 151, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461601, 'target_is_minimal': False, 'target_label': '225.2.e.a.151.1', 'target_level': 225, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 2639203
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462051, 'source_is_minimal': False, 'source_label': '675.2.e.a.451.1', 'source_level': 675, 'target_conrey_index': 424, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 687228322467, 'target_is_minimal': False, 'target_label': '675.2.k.a.424.1', 'target_level': 675, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 2639204
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462051, 'source_is_minimal': False, 'source_label': '675.2.e.a.451.1', 'source_level': 675, 'target_conrey_index': 424, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 687228322467, 'target_is_minimal': False, 'target_label': '675.2.k.a.424.2', 'target_level': 675, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 2639205
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462051, 'source_is_minimal': False, 'source_label': '675.2.e.a.451.1', 'source_level': 675, 'target_conrey_index': 46, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461511, 'target_is_minimal': False, 'target_label': '135.2.e.a.46.1', 'target_level': 135, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 2639206
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462051, 'source_is_minimal': False, 'source_label': '675.2.e.a.451.1', 'source_level': 675, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660926953, 'target_is_minimal': False, 'target_label': '2025.2.a.b.1.1', 'target_level': 2025, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 2639207
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462051, 'source_is_minimal': False, 'source_label': '675.2.e.a.451.1', 'source_level': 675, 'target_conrey_index': 226, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911462051, 'target_is_minimal': False, 'target_label': '675.2.e.a.226.1', 'target_level': 675, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 2639208
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462051, 'source_is_minimal': False, 'source_label': '675.2.e.a.451.1', 'source_level': 675, 'target_conrey_index': 76, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461601, 'target_is_minimal': False, 'target_label': '225.2.e.a.76.1', 'target_level': 225, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 2639209
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462051, 'source_is_minimal': False, 'source_label': '675.2.e.a.451.1', 'source_level': 675, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543038441, 'target_is_minimal': False, 'target_label': '2025.2.a.e.1.1', 'target_level': 2025, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 2639210
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462051, 'source_is_minimal': False, 'source_label': '675.2.e.a.451.1', 'source_level': 675, 'target_conrey_index': 124, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 687228322017, 'target_is_minimal': False, 'target_label': '225.2.k.a.124.2', 'target_level': 225, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 2639211
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462051, 'source_is_minimal': False, 'source_label': '675.2.e.a.451.1', 'source_level': 675, 'target_conrey_index': 124, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 687228322017, 'target_is_minimal': False, 'target_label': '225.2.k.a.124.1', 'target_level': 225, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 2639212
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462051, 'source_is_minimal': False, 'source_label': '675.2.e.a.451.1', 'source_level': 675, 'target_conrey_index': 16, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461421, 'target_is_minimal': True, 'target_label': '45.2.e.a.16.1', 'target_level': 45, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 2639213
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462051, 'source_is_minimal': False, 'source_label': '675.2.e.a.451.1', 'source_level': 675, 'target_conrey_index': 721, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1099545184368, 'target_is_minimal': False, 'target_label': '2160.2.q.a.721.1', 'target_level': 2160, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 2639214
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462051, 'source_is_minimal': False, 'source_label': '675.2.e.a.451.1', 'source_level': 675, 'target_conrey_index': 649, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007268007774185, 'target_is_minimal': False, 'target_label': '2025.2.b.c.649.1', 'target_level': 2025, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 2639215
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462051, 'source_is_minimal': False, 'source_label': '675.2.e.a.451.1', 'source_level': 675, 'target_conrey_index': 91, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461511, 'target_is_minimal': False, 'target_label': '135.2.e.a.91.1', 'target_level': 135, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 2639216
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462051, 'source_is_minimal': False, 'source_label': '675.2.e.a.451.1', 'source_level': 675, 'target_conrey_index': 649, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510867635144681, 'target_is_minimal': False, 'target_label': '2025.2.b.d.649.2', 'target_level': 2025, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 2639217
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462051, 'source_is_minimal': False, 'source_label': '675.2.e.a.451.1', 'source_level': 675, 'target_conrey_index': 199, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 687228322467, 'target_is_minimal': False, 'target_label': '675.2.k.a.199.1', 'target_level': 675, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 2639218
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462051, 'source_is_minimal': False, 'source_label': '675.2.e.a.451.1', 'source_level': 675, 'target_conrey_index': 31, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461421, 'target_is_minimal': True, 'target_label': '45.2.e.a.31.1', 'target_level': 45, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 2639219
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462051, 'source_is_minimal': False, 'source_label': '675.2.e.a.451.1', 'source_level': 675, 'target_conrey_index': 199, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 687228322467, 'target_is_minimal': False, 'target_label': '675.2.k.a.199.2', 'target_level': 675, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 2639220
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462051, 'source_is_minimal': False, 'source_label': '675.2.e.a.451.1', 'source_level': 675, 'target_conrey_index': 49, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 687228322017, 'target_is_minimal': False, 'target_label': '225.2.k.a.49.2', 'target_level': 225, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 2639221
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462051, 'source_is_minimal': False, 'source_label': '675.2.e.a.451.1', 'source_level': 675, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543036821, 'target_is_minimal': False, 'target_label': '405.2.a.e.1.1', 'target_level': 405, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 2639222
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462051, 'source_is_minimal': False, 'source_label': '675.2.e.a.451.1', 'source_level': 675, 'target_conrey_index': 49, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 687228322017, 'target_is_minimal': False, 'target_label': '225.2.k.a.49.1', 'target_level': 225, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 2639223
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462051, 'source_is_minimal': False, 'source_label': '675.2.e.a.451.1', 'source_level': 675, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660925333, 'target_is_minimal': False, 'target_label': '405.2.a.b.1.1', 'target_level': 405, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 2639224
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462051, 'source_is_minimal': False, 'source_label': '675.2.e.a.451.1', 'source_level': 675, 'target_conrey_index': 649, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007268007774185, 'target_is_minimal': False, 'target_label': '2025.2.b.c.649.2', 'target_level': 2025, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 2639225
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462051, 'source_is_minimal': False, 'source_label': '675.2.e.a.451.1', 'source_level': 675, 'target_conrey_index': 649, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510867635144681, 'target_is_minimal': False, 'target_label': '2025.2.b.d.649.1', 'target_level': 2025, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 2639226
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462051, 'source_is_minimal': False, 'source_label': '675.2.e.a.451.1', 'source_level': 675, 'target_conrey_index': 241, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511898427294416, 'target_is_minimal': False, 'target_label': '720.2.q.d.241.1', 'target_level': 720, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 2639227
{'conductor': 180, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462051, 'source_is_minimal': False, 'source_label': '675.2.e.a.451.1', 'source_level': 675, 'target_conrey_index': 481, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511898427294416, 'target_is_minimal': False, 'target_label': '720.2.q.d.481.1', 'target_level': 720, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '180.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 2639228
{'conductor': 180, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462051, 'source_is_minimal': False, 'source_label': '675.2.e.a.451.1', 'source_level': 675, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 103582791463082320, 'target_is_minimal': False, 'target_label': '6480.2.a.x.1.1', 'target_level': 6480, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '180.79', 'twisting_conrey_index': 79, 'weight': 2}
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id: 2639229
{'conductor': 180, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462051, 'source_is_minimal': False, 'source_label': '675.2.e.a.451.1', 'source_level': 675, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45035996307265872, 'target_is_minimal': False, 'target_label': '6480.2.a.k.1.1', 'target_level': 6480, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '180.119', 'twisting_conrey_index': 119, 'weight': 2}
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id: 2639230
{'conductor': 180, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462051, 'source_is_minimal': False, 'source_label': '675.2.e.a.451.1', 'source_level': 675, 'target_conrey_index': 1441, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1099545184368, 'target_is_minimal': False, 'target_label': '2160.2.q.a.1441.1', 'target_level': 2160, 'twist_class_label': '45.2.e.a.16.1', 'twist_class_level': 45, 'twisting_char_label': '180.139', 'twisting_conrey_index': 139, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1193925
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 274911462051, 'p': 2}
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id: 1193926
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 274911462051, 'p': 3}
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id: 1193927
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 274911462051, 'p': 5}
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id: 1193928
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 274911462051, 'p': 7}
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id: 1193929
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 274911462051, 'p': 11}
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id: 1193930
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 274911462051, 'p': 13}
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id: 1193931
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 274911462051, 'p': 17}
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id: 1193932
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 274911462051, 'p': 19}
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id: 1193933
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 274911462051, 'p': 23}
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id: 1193934
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 274911462051, 'p': 29}
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id: 1193935
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 274911462051, 'p': 31}
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id: 1193936
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 274911462051, 'p': 37}
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id: 1193937
{'charpoly_factorization': [[[25, -5, 1], 1]], 'hecke_orbit_code': 274911462051, 'p': 41}
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id: 1193938
{'charpoly_factorization': [[[64, 8, 1], 1]], 'hecke_orbit_code': 274911462051, 'p': 43}
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id: 1193939
{'charpoly_factorization': [[[49, 7, 1], 1]], 'hecke_orbit_code': 274911462051, 'p': 47}
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id: 1193940
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 274911462051, 'p': 53}
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id: 1193941
{'charpoly_factorization': [[[196, 14, 1], 1]], 'hecke_orbit_code': 274911462051, 'p': 59}
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id: 1193942
{'charpoly_factorization': [[[49, 7, 1], 1]], 'hecke_orbit_code': 274911462051, 'p': 61}
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id: 1193943
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 274911462051, 'p': 67}
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id: 1193944
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 274911462051, 'p': 71}
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id: 1193945
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 274911462051, 'p': 73}
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id: 1193946
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 274911462051, 'p': 79}
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id: 1193947
{'charpoly_factorization': [[[81, 9, 1], 1]], 'hecke_orbit_code': 274911462051, 'p': 83}
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id: 1193948
{'charpoly_factorization': [[[-15, 1], 2]], 'hecke_orbit_code': 274911462051, 'p': 89}
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id: 1193949
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 274911462051, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 1, 'label': '675.2.e.a', '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: 29264000
{'hecke_orbit_code': 274911462051, 'n': 1, 'trace_an': 2}
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id: 29264001
{'hecke_orbit_code': 274911462051, 'n': 2, 'trace_an': -1}
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id: 29264002
{'hecke_orbit_code': 274911462051, 'n': 3, 'trace_an': 0}
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