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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_index': 226, 'conrey_indexes': [226, 451], 'dim': 6, 'field_disc': -954288, 'field_disc_factorization': [[-1, 1], [2, 4], [3, 3], [47, 2]], 'field_poly': [27, -9, -6, 3, -2, -1, 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, [9, 15, 28, 1, 6, 1, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503874538832547, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], '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, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 2700, 'analytic_conductor': 5.389902136436426, 'char_conductor': 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_index': 226, '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: 35050490
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 226, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503874538832547, 'source_is_minimal': False, 'source_label': '675.2.e.b.226.2', 'source_level': 675, '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': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 35050491
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 226, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503874538832547, 'source_is_minimal': False, 'source_label': '675.2.e.b.226.2', 'source_level': 675, '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': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35050492
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 226, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503874538832547, 'source_is_minimal': False, 'source_label': '675.2.e.b.226.2', 'source_level': 675, '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': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35050493
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 226, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503874538832547, 'source_is_minimal': False, 'source_label': '675.2.e.b.226.2', 'source_level': 675, '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': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 35050494
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 226, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503874538832547, 'source_is_minimal': False, 'source_label': '675.2.e.b.226.2', 'source_level': 675, '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': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35050495
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 226, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503874538832547, 'source_is_minimal': False, 'source_label': '675.2.e.b.226.2', 'source_level': 675, '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': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35050496
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 226, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503874538832547, 'source_is_minimal': False, 'source_label': '675.2.e.b.226.2', 'source_level': 675, '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': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35050497
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 226, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503874538832547, 'source_is_minimal': False, 'source_label': '675.2.e.b.226.2', 'source_level': 675, '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': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 35050498
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 226, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503874538832547, 'source_is_minimal': False, 'source_label': '675.2.e.b.226.2', 'source_level': 675, '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': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 35050499
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 226, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503874538832547, 'source_is_minimal': False, 'source_label': '675.2.e.b.226.2', 'source_level': 675, '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': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35050500
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 226, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503874538832547, 'source_is_minimal': False, 'source_label': '675.2.e.b.226.2', 'source_level': 675, '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': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 35050501
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 226, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503874538832547, 'source_is_minimal': False, 'source_label': '675.2.e.b.226.2', 'source_level': 675, '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': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 35050502
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 226, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503874538832547, 'source_is_minimal': False, 'source_label': '675.2.e.b.226.2', 'source_level': 675, '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': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 35050503
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 226, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503874538832547, 'source_is_minimal': False, 'source_label': '675.2.e.b.226.2', 'source_level': 675, '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': '45.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35050504
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 226, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503874538832547, 'source_is_minimal': False, 'source_label': '675.2.e.b.226.2', 'source_level': 675, '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': '45.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35050505
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 226, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503874538832547, 'source_is_minimal': False, 'source_label': '675.2.e.b.226.2', 'source_level': 675, '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': '45.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 35050506
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 226, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503874538832547, 'source_is_minimal': False, 'source_label': '675.2.e.b.226.2', 'source_level': 675, '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': '45.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 35050507
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 226, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503874538832547, 'source_is_minimal': False, 'source_label': '675.2.e.b.226.2', 'source_level': 675, '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': '45.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 35050508
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 226, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503874538832547, 'source_is_minimal': False, 'source_label': '675.2.e.b.226.2', 'source_level': 675, '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': '45.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 35050509
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 226, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503874538832547, 'source_is_minimal': False, 'source_label': '675.2.e.b.226.2', 'source_level': 675, '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': '45.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 35050510
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 226, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503874538832547, 'source_is_minimal': False, 'source_label': '675.2.e.b.226.2', 'source_level': 675, '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': '45.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 35050511
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 226, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503874538832547, 'source_is_minimal': False, 'source_label': '675.2.e.b.226.2', 'source_level': 675, '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': '45.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 35050512
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 226, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503874538832547, 'source_is_minimal': False, 'source_label': '675.2.e.b.226.2', 'source_level': 675, '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': '45.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 35050513
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 226, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503874538832547, 'source_is_minimal': False, 'source_label': '675.2.e.b.226.2', 'source_level': 675, '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': '45.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 35050514
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 226, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503874538832547, 'source_is_minimal': False, 'source_label': '675.2.e.b.226.2', 'source_level': 675, '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': '45.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 35050515
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 226, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503874538832547, 'source_is_minimal': False, 'source_label': '675.2.e.b.226.2', 'source_level': 675, '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': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 35050516
{'conductor': 180, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 226, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503874538832547, 'source_is_minimal': False, 'source_label': '675.2.e.b.226.2', 'source_level': 675, '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': '180.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 35050517
{'conductor': 180, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 226, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503874538832547, 'source_is_minimal': False, 'source_label': '675.2.e.b.226.2', 'source_level': 675, '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': '180.79', 'twisting_conrey_index': 79, 'weight': 2}
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id: 35050518
{'conductor': 180, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 226, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503874538832547, 'source_is_minimal': False, 'source_label': '675.2.e.b.226.2', 'source_level': 675, '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': '180.119', 'twisting_conrey_index': 119, 'weight': 2}
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id: 35050519
{'conductor': 180, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 226, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503874538832547, 'source_is_minimal': False, 'source_label': '675.2.e.b.226.2', 'source_level': 675, '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': '180.139', 'twisting_conrey_index': 139, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 1193950
{'charpoly_factorization': [[[9, 15, 28, 1, 6, 1, 1], 1]], 'hecke_orbit_code': 4503874538832547, 'p': 2}
-
id: 1193951
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 4503874538832547, 'p': 3}
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id: 1193952
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 4503874538832547, 'p': 5}
-
id: 1193953
{'charpoly_factorization': [[[9, 9, 24, -21, 22, -5, 1], 1]], 'hecke_orbit_code': 4503874538832547, 'p': 7}
-
id: 1193954
{'charpoly_factorization': [[[144, 96, 88, 8, 12, 2, 1], 1]], 'hecke_orbit_code': 4503874538832547, 'p': 11}
-
id: 1193955
{'charpoly_factorization': [[[16, -16, 32, 8, 20, -4, 1], 1]], 'hecke_orbit_code': 4503874538832547, 'p': 13}
-
id: 1193956
{'charpoly_factorization': [[[-12, -8, 2, 1], 2]], 'hecke_orbit_code': 4503874538832547, 'p': 17}
-
id: 1193957
{'charpoly_factorization': [[[4, -4, -4, 1], 2]], 'hecke_orbit_code': 4503874538832547, 'p': 19}
-
id: 1193958
{'charpoly_factorization': [[[13689, 3861, 1440, 135, 42, 3, 1], 1]], 'hecke_orbit_code': 4503874538832547, 'p': 23}
-
id: 1193959
{'charpoly_factorization': [[[2601, 1479, 1198, -101, 78, 7, 1], 1]], 'hecke_orbit_code': 4503874538832547, 'p': 29}
-
id: 1193960
{'charpoly_factorization': [[[219024, 28080, 7344, 456, 124, 8, 1], 1]], 'hecke_orbit_code': 4503874538832547, 'p': 31}
-
id: 1193961
{'charpoly_factorization': [[[-4, -12, 6, 1], 2]], 'hecke_orbit_code': 4503874538832547, 'p': 37}
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id: 1193962
{'charpoly_factorization': [[[9, 57, 322, 241, 150, 13, 1], 1]], 'hecke_orbit_code': 4503874538832547, 'p': 41}
-
id: 1193963
{'charpoly_factorization': [[[16, -16, 56, 32, 104, -10, 1], 1]], 'hecke_orbit_code': 4503874538832547, 'p': 43}
-
id: 1193964
{'charpoly_factorization': [[[136161, 4059, 4918, 595, 180, 13, 1], 1]], 'hecke_orbit_code': 4503874538832547, 'p': 47}
-
id: 1193965
{'charpoly_factorization': [[[-24, -20, 2, 1], 2]], 'hecke_orbit_code': 4503874538832547, 'p': 53}
-
id: 1193966
{'charpoly_factorization': [[[576, 480, 448, 8, 24, 2, 1], 1]], 'hecke_orbit_code': 4503874538832547, 'p': 59}
-
id: 1193967
{'charpoly_factorization': [[[5041, -2627, 1298, -179, 38, 1, 1], 1]], 'hecke_orbit_code': 4503874538832547, 'p': 61}
-
id: 1193968
{'charpoly_factorization': [[[257049, -19773, 7098, -585, 160, -11, 1], 1]], 'hecke_orbit_code': 4503874538832547, 'p': 67}
-
id: 1193969
{'charpoly_factorization': [[[708, -92, -10, 1], 2]], 'hecke_orbit_code': 4503874538832547, 'p': 71}
-
id: 1193970
{'charpoly_factorization': [[[128, -64, -8, 1], 2]], 'hecke_orbit_code': 4503874538832547, 'p': 73}
-
id: 1193971
{'charpoly_factorization': [[[576, -2016, 7008, -216, 88, 2, 1], 1]], 'hecke_orbit_code': 4503874538832547, 'p': 79}
-
id: 1193972
{'charpoly_factorization': [[[6561, 2187, 1944, -567, 198, -15, 1], 1]], 'hecke_orbit_code': 4503874538832547, 'p': 83}
-
id: 1193973
{'charpoly_factorization': [[[-3, 1], 6]], 'hecke_orbit_code': 4503874538832547, 'p': 89}
-
id: 1193974
{'charpoly_factorization': [[[1700416, 46944, 24768, 1960, 360, 18, 1], 1]], 'hecke_orbit_code': 4503874538832547, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 2, 'label': '675.2.e.b', 'level': 675, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 85418000
{'hecke_orbit_code': 4503874538832547, 'n': 1, 'trace_an': 6}
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id: 85418001
{'hecke_orbit_code': 4503874538832547, 'n': 2, 'trace_an': -1}
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id: 85418002
{'hecke_orbit_code': 4503874538832547, 'n': 3, 'trace_an': 0}
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id: 85418003
{'hecke_orbit_code': 4503874538832547, 'n': 4, 'trace_an': -5}
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id: 85418004
{'hecke_orbit_code': 4503874538832547, 'n': 5, 'trace_an': 0}
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id: 85418005
{'hecke_orbit_code': 4503874538832547, 'n': 6, 'trace_an': 0}
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id: 85418006
{'hecke_orbit_code': 4503874538832547, 'n': 7, 'trace_an': 5}
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id: 85418007
{'hecke_orbit_code': 4503874538832547, 'n': 8, 'trace_an': 6}
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id: 85418008
{'hecke_orbit_code': 4503874538832547, 'n': 9, 'trace_an': 0}
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id: 85418009
{'hecke_orbit_code': 4503874538832547, 'n': 10, 'trace_an': 0}
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id: 85418010
{'hecke_orbit_code': 4503874538832547, 'n': 11, 'trace_an': -2}
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id: 85418011
{'hecke_orbit_code': 4503874538832547, 'n': 12, 'trace_an': 0}
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id: 85418012
{'hecke_orbit_code': 4503874538832547, 'n': 13, 'trace_an': 4}
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id: 85418013
{'hecke_orbit_code': 4503874538832547, 'n': 14, 'trace_an': -9}
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id: 85418014
{'hecke_orbit_code': 4503874538832547, 'n': 15, 'trace_an': 0}
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id: 85418015
{'hecke_orbit_code': 4503874538832547, 'n': 16, 'trace_an': -5}
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id: 85418016
{'hecke_orbit_code': 4503874538832547, 'n': 17, 'trace_an': -4}
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id: 85418017
{'hecke_orbit_code': 4503874538832547, 'n': 18, 'trace_an': 0}
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id: 85418018
{'hecke_orbit_code': 4503874538832547, 'n': 19, 'trace_an': 8}
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id: 85418019
{'hecke_orbit_code': 4503874538832547, 'n': 20, 'trace_an': 0}
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id: 85418020
{'hecke_orbit_code': 4503874538832547, 'n': 21, 'trace_an': 0}
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id: 85418021
{'hecke_orbit_code': 4503874538832547, 'n': 22, 'trace_an': -4}
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id: 85418022
{'hecke_orbit_code': 4503874538832547, 'n': 23, 'trace_an': -3}
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id: 85418023
{'hecke_orbit_code': 4503874538832547, 'n': 24, 'trace_an': 0}
-
id: 85418024
{'hecke_orbit_code': 4503874538832547, 'n': 25, 'trace_an': 0}
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id: 85418025
{'hecke_orbit_code': 4503874538832547, 'n': 26, 'trace_an': 4}
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id: 85418026
{'hecke_orbit_code': 4503874538832547, 'n': 27, 'trace_an': 0}
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id: 85418027
{'hecke_orbit_code': 4503874538832547, 'n': 28, 'trace_an': -10}
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id: 85418028
{'hecke_orbit_code': 4503874538832547, 'n': 29, 'trace_an': -7}
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id: 85418029
{'hecke_orbit_code': 4503874538832547, 'n': 30, 'trace_an': 0}
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id: 85418030
{'hecke_orbit_code': 4503874538832547, 'n': 31, 'trace_an': -8}
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id: 85418031
{'hecke_orbit_code': 4503874538832547, 'n': 32, 'trace_an': -17}
-
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