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mf_newforms • Show schema
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{'Nk2': 7056, 'analytic_conductor': 14.08561091655386, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 21, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 20, 'char_orbit_label': 't', 'char_order': 6, 'char_parity': 1, 'char_values': [1764, 6, [883, 785, 1081], [6, 3, 1]], 'cm_discs': [], 'conrey_index': 521, 'conrey_indexes': [521, 1097], 'dim': 16, 'field_disc': 1846757322198614016, 'field_disc_factorization': [[2, 48], [3, 8]], 'field_poly': [1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 48, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [4, 0, 8, 0, 14, 0, 4, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9008504958355172, 'hecke_ring_generator_nbound': 25, 'hecke_ring_index': 256, 'hecke_ring_index_factorization': [[2, 8]], 'hecke_ring_index_proved': True, 'inner_twist_count': 8, 'inner_twists': [[1, 1, 1, 1, 1, 1, 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mf_hecke_cc • Show schema
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'embedding_root_real': -0.9914448613738104, 'hecke_orbit': 3, 'hecke_orbit_code': 9008504958355172, 'label': '1764.2.t.c.1097.8', 'level': 1764, 'weight': 2}
-
mf_newspaces • Show schema
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{'Nk2': 7056, 'analytic_conductor': 14.08561091655386, 'char_conductor': 21, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 20, 'char_orbit_label': 't', 'char_order': 6, 'char_parity': 1, 'char_values': [1764, 6, [883, 785, 1081], [6, 3, 1]], 'conrey_index': 521, 'cusp_dim': 576, 'dim': 28, 'eis_dim': 192, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 1305703614180, 'hecke_orbit_dims': [4, 8, 16], 'label': '1764.2.t', 'level': 1764, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 768, 'mf_new_dim': 28, 'num_forms': 3, 'prim_orbit_index': 7, 'relative_dim': 14, 'sturm_bound': 672, 'trace_bound': 1, 'trace_display': [0, 0, 0, 0], 'traces': [28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 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mf_twists_cc • Show schema
Hide schema
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id: 41568403
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1097, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 9008504958355172, 'source_is_minimal': False, 'source_label': '1764.2.t.c.1097.8', 'source_level': 1764, 'target_conrey_index': 1097, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 9008504958355172, 'target_is_minimal': False, 'target_label': '1764.2.t.c.1097.8', 'target_level': 1764, 'twist_class_label': '1764.2.f.b.881.1', 'twist_class_level': 1764, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 41568404
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1097, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 9008504958355172, 'source_is_minimal': False, 'source_label': '1764.2.t.c.1097.8', 'source_level': 1764, 'target_conrey_index': 1097, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008504958355172, 'target_is_minimal': False, 'target_label': '1764.2.t.c.1097.1', 'target_level': 1764, 'twist_class_label': '1764.2.f.b.881.1', 'twist_class_level': 1764, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 41568405
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1097, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 9008504958355172, 'source_is_minimal': False, 'source_label': '1764.2.t.c.1097.8', 'source_level': 1764, 'target_conrey_index': 881, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503943258310372, 'target_is_minimal': True, 'target_label': '1764.2.f.b.881.2', 'target_level': 1764, 'twist_class_label': '1764.2.f.b.881.1', 'twist_class_level': 1764, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 41568406
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1097, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 9008504958355172, 'source_is_minimal': False, 'source_label': '1764.2.t.c.1097.8', 'source_level': 1764, 'target_conrey_index': 521, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008504958355172, 'target_is_minimal': False, 'target_label': '1764.2.t.c.521.1', 'target_level': 1764, 'twist_class_label': '1764.2.f.b.881.1', 'twist_class_level': 1764, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 41568407
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1097, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 9008504958355172, 'source_is_minimal': False, 'source_label': '1764.2.t.c.1097.8', 'source_level': 1764, 'target_conrey_index': 521, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 9008504958355172, 'target_is_minimal': False, 'target_label': '1764.2.t.c.521.7', 'target_level': 1764, 'twist_class_label': '1764.2.f.b.881.1', 'twist_class_level': 1764, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 41568408
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1097, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 9008504958355172, 'source_is_minimal': False, 'source_label': '1764.2.t.c.1097.8', 'source_level': 1764, 'target_conrey_index': 881, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 4503943258310372, 'target_is_minimal': True, 'target_label': '1764.2.f.b.881.8', 'target_level': 1764, 'twist_class_label': '1764.2.f.b.881.1', 'twist_class_level': 1764, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 41568409
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1097, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 9008504958355172, 'source_is_minimal': False, 'source_label': '1764.2.t.c.1097.8', 'source_level': 1764, 'target_conrey_index': 1097, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008504958355172, 'target_is_minimal': False, 'target_label': '1764.2.t.c.1097.2', 'target_level': 1764, 'twist_class_label': '1764.2.f.b.881.1', 'twist_class_level': 1764, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 41568410
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1097, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 9008504958355172, 'source_is_minimal': False, 'source_label': '1764.2.t.c.1097.8', 'source_level': 1764, 'target_conrey_index': 881, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 4503943258310372, 'target_is_minimal': True, 'target_label': '1764.2.f.b.881.7', 'target_level': 1764, 'twist_class_label': '1764.2.f.b.881.1', 'twist_class_level': 1764, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 41568411
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1097, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 9008504958355172, 'source_is_minimal': False, 'source_label': '1764.2.t.c.1097.8', 'source_level': 1764, 'target_conrey_index': 881, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503943258310372, 'target_is_minimal': True, 'target_label': '1764.2.f.b.881.1', 'target_level': 1764, 'twist_class_label': '1764.2.f.b.881.1', 'twist_class_level': 1764, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 41568412
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1097, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 9008504958355172, 'source_is_minimal': False, 'source_label': '1764.2.t.c.1097.8', 'source_level': 1764, 'target_conrey_index': 521, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008504958355172, 'target_is_minimal': False, 'target_label': '1764.2.t.c.521.2', 'target_level': 1764, 'twist_class_label': '1764.2.f.b.881.1', 'twist_class_level': 1764, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 41568413
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1097, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 9008504958355172, 'source_is_minimal': False, 'source_label': '1764.2.t.c.1097.8', 'source_level': 1764, 'target_conrey_index': 521, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 9008504958355172, 'target_is_minimal': False, 'target_label': '1764.2.t.c.521.8', 'target_level': 1764, 'twist_class_label': '1764.2.f.b.881.1', 'twist_class_level': 1764, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 41568414
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1097, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 9008504958355172, 'source_is_minimal': False, 'source_label': '1764.2.t.c.1097.8', 'source_level': 1764, 'target_conrey_index': 1097, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 9008504958355172, 'target_is_minimal': False, 'target_label': '1764.2.t.c.1097.7', 'target_level': 1764, 'twist_class_label': '1764.2.f.b.881.1', 'twist_class_level': 1764, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 41568415
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1097, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 9008504958355172, 'source_is_minimal': False, 'source_label': '1764.2.t.c.1097.8', 'source_level': 1764, 'target_conrey_index': 881, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 18015085737810832, 'target_is_minimal': False, 'target_label': '7056.2.k.e.881.7', 'target_level': 7056, 'twist_class_label': '1764.2.f.b.881.1', 'twist_class_level': 1764, 'twisting_char_label': '28.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 41568416
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1097, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 9008504958355172, 'source_is_minimal': False, 'source_label': '1764.2.t.c.1097.8', 'source_level': 1764, 'target_conrey_index': 881, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015085737810832, 'target_is_minimal': False, 'target_label': '7056.2.k.e.881.1', 'target_level': 7056, 'twist_class_label': '1764.2.f.b.881.1', 'twist_class_level': 1764, 'twisting_char_label': '28.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 41568417
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1097, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 9008504958355172, 'source_is_minimal': False, 'source_label': '1764.2.t.c.1097.8', 'source_level': 1764, 'target_conrey_index': 881, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 18015085737810832, 'target_is_minimal': False, 'target_label': '7056.2.k.e.881.8', 'target_level': 7056, 'twist_class_label': '1764.2.f.b.881.1', 'twist_class_level': 1764, 'twisting_char_label': '84.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 41568418
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1097, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 9008504958355172, 'source_is_minimal': False, 'source_label': '1764.2.t.c.1097.8', 'source_level': 1764, 'target_conrey_index': 881, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18015085737810832, 'target_is_minimal': False, 'target_label': '7056.2.k.e.881.2', 'target_level': 7056, 'twist_class_label': '1764.2.f.b.881.1', 'twist_class_level': 1764, 'twisting_char_label': '84.47', 'twisting_conrey_index': 47, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2189600
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 9008504958355172, 'p': 2}
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id: 2189601
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 9008504958355172, 'p': 3}
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id: 2189602
{'charpoly_factorization': [[[4, 0, 8, 0, 14, 0, 4, 0, 1], 2]], 'hecke_orbit_code': 9008504958355172, 'p': 5}
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id: 2189603
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 9008504958355172, 'p': 7}
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id: 2189604
{'charpoly_factorization': [[[16, 0, -4, 0, 1], 4]], 'hecke_orbit_code': 9008504958355172, 'p': 11}
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id: 2189605
{'charpoly_factorization': [[[2, 0, 20, 0, 1], 4]], 'hecke_orbit_code': 9008504958355172, 'p': 13}
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id: 2189606
{'charpoly_factorization': [[[26244, 0, 5832, 0, 1134, 0, 36, 0, 1], 2]], 'hecke_orbit_code': 9008504958355172, 'p': 17}
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id: 2189607
{'charpoly_factorization': [[[1024, 0, -512, 0, 224, 0, -16, 0, 1], 2]], 'hecke_orbit_code': 9008504958355172, 'p': 19}
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id: 2189608
{'charpoly_factorization': [[[614656, 0, -68992, 0, 6960, 0, -88, 0, 1], 2]], 'hecke_orbit_code': 9008504958355172, 'p': 23}
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id: 2189609
{'charpoly_factorization': [[[64, 0, 48, 0, 1], 4]], 'hecke_orbit_code': 9008504958355172, 'p': 29}
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id: 2189610
{'charpoly_factorization': [[[2458624, 0, -125440, 0, 4832, 0, -80, 0, 1], 2]], 'hecke_orbit_code': 9008504958355172, 'p': 31}
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id: 2189611
{'charpoly_factorization': [[[4, -16, 66, 8, 1], 4]], 'hecke_orbit_code': 9008504958355172, 'p': 37}
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id: 2189612
{'charpoly_factorization': [[[1058, 0, -148, 0, 1], 4]], 'hecke_orbit_code': 9008504958355172, 'p': 41}
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id: 2189613
{'charpoly_factorization': [[[8, -8, 1], 8]], 'hecke_orbit_code': 9008504958355172, 'p': 43}
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id: 2189614
{'charpoly_factorization': [[[85525504, 0, 1923584, 0, 34016, 0, 208, 0, 1], 2]], 'hecke_orbit_code': 9008504958355172, 'p': 47}
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id: 2189615
{'charpoly_factorization': [[[4477456, 0, -347024, 0, 24780, 0, -164, 0, 1], 2]], 'hecke_orbit_code': 9008504958355172, 'p': 53}
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id: 2189616
{'charpoly_factorization': [[[286557184, 0, 4604416, 0, 57056, 0, 272, 0, 1], 2]], 'hecke_orbit_code': 9008504958355172, 'p': 59}
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id: 2189617
{'charpoly_factorization': [[[3694084, 0, -315208, 0, 24974, 0, -164, 0, 1], 2]], 'hecke_orbit_code': 9008504958355172, 'p': 61}
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id: 2189618
{'charpoly_factorization': [[[3136, -448, 120, 8, 1], 4]], 'hecke_orbit_code': 9008504958355172, 'p': 67}
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id: 2189619
{'charpoly_factorization': [[[15376, 0, 264, 0, 1], 4]], 'hecke_orbit_code': 9008504958355172, 'p': 71}
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id: 2189620
{'charpoly_factorization': [[[1119364, 0, -156584, 0, 20846, 0, -148, 0, 1], 2]], 'hecke_orbit_code': 9008504958355172, 'p': 73}
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id: 2189621
{'charpoly_factorization': [[[16384, 0, 128, 0, 1], 4]], 'hecke_orbit_code': 9008504958355172, 'p': 79}
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id: 2189622
{'charpoly_factorization': [[[2048, 0, -128, 0, 1], 4]], 'hecke_orbit_code': 9008504958355172, 'p': 83}
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id: 2189623
{'charpoly_factorization': [[[334084, 0, 122536, 0, 44366, 0, 212, 0, 1], 2]], 'hecke_orbit_code': 9008504958355172, 'p': 89}
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id: 2189624
{'charpoly_factorization': [[[1058, 0, 148, 0, 1], 4]], 'hecke_orbit_code': 9008504958355172, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 20, 'hecke_orbit': 3, 'label': '1764.2.t.c', 'level': 1764, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 123633000
{'hecke_orbit_code': 9008504958355172, 'n': 1, 'trace_an': 16}
-
id: 123633001
{'hecke_orbit_code': 9008504958355172, 'n': 2, 'trace_an': 0}
-
id: 123633002
{'hecke_orbit_code': 9008504958355172, 'n': 3, 'trace_an': 0}
-
id: 123633003
{'hecke_orbit_code': 9008504958355172, 'n': 4, 'trace_an': 0}
-
id: 123633004
{'hecke_orbit_code': 9008504958355172, 'n': 5, 'trace_an': 0}
-
id: 123633005
{'hecke_orbit_code': 9008504958355172, 'n': 6, 'trace_an': 0}
-
id: 123633006
{'hecke_orbit_code': 9008504958355172, 'n': 7, 'trace_an': 0}
-
id: 123633007
{'hecke_orbit_code': 9008504958355172, 'n': 8, 'trace_an': 0}
-
id: 123633008
{'hecke_orbit_code': 9008504958355172, 'n': 9, 'trace_an': 0}
-
id: 123633009
{'hecke_orbit_code': 9008504958355172, 'n': 10, 'trace_an': 0}
-
id: 123633010
{'hecke_orbit_code': 9008504958355172, 'n': 11, 'trace_an': 0}
-
id: 123633011
{'hecke_orbit_code': 9008504958355172, 'n': 12, 'trace_an': 0}
-
id: 123633012
{'hecke_orbit_code': 9008504958355172, 'n': 13, 'trace_an': 0}
-
id: 123633013
{'hecke_orbit_code': 9008504958355172, 'n': 14, 'trace_an': 0}
-
id: 123633014
{'hecke_orbit_code': 9008504958355172, 'n': 15, 'trace_an': 0}
-
id: 123633015
{'hecke_orbit_code': 9008504958355172, 'n': 16, 'trace_an': 0}
-
id: 123633016
{'hecke_orbit_code': 9008504958355172, 'n': 17, 'trace_an': 0}
-
id: 123633017
{'hecke_orbit_code': 9008504958355172, 'n': 18, 'trace_an': 0}
-
id: 123633018
{'hecke_orbit_code': 9008504958355172, 'n': 19, 'trace_an': 0}
-
id: 123633019
{'hecke_orbit_code': 9008504958355172, 'n': 20, 'trace_an': 0}
-
id: 123633020
{'hecke_orbit_code': 9008504958355172, 'n': 21, 'trace_an': 0}
-
id: 123633021
{'hecke_orbit_code': 9008504958355172, 'n': 22, 'trace_an': 0}
-
id: 123633022
{'hecke_orbit_code': 9008504958355172, 'n': 23, 'trace_an': 0}
-
id: 123633023
{'hecke_orbit_code': 9008504958355172, 'n': 24, 'trace_an': 0}
-
id: 123633024
{'hecke_orbit_code': 9008504958355172, 'n': 25, 'trace_an': 24}
-
id: 123633025
{'hecke_orbit_code': 9008504958355172, 'n': 26, 'trace_an': 0}
-
id: 123633026
{'hecke_orbit_code': 9008504958355172, 'n': 27, 'trace_an': 0}
-
id: 123633027
{'hecke_orbit_code': 9008504958355172, 'n': 28, 'trace_an': 0}
-
id: 123633028
{'hecke_orbit_code': 9008504958355172, 'n': 29, 'trace_an': 0}
-
id: 123633029
{'hecke_orbit_code': 9008504958355172, 'n': 30, 'trace_an': 0}
-
id: 123633030
{'hecke_orbit_code': 9008504958355172, 'n': 31, 'trace_an': 0}
-
id: 123633031
{'hecke_orbit_code': 9008504958355172, 'n': 32, 'trace_an': 0}
-
id: 123633032
{'hecke_orbit_code': 9008504958355172, 'n': 33, 'trace_an': 0}
-
id: 123633033
{'hecke_orbit_code': 9008504958355172, 'n': 34, 'trace_an': 0}
-
id: 123633034
{'hecke_orbit_code': 9008504958355172, 'n': 35, 'trace_an': 0}
-
id: 123633035
{'hecke_orbit_code': 9008504958355172, 'n': 36, 'trace_an': 0}
-
id: 123633036
{'hecke_orbit_code': 9008504958355172, 'n': 37, 'trace_an': -32}
-
id: 123633037
{'hecke_orbit_code': 9008504958355172, 'n': 38, 'trace_an': 0}
-
id: 123633038
{'hecke_orbit_code': 9008504958355172, 'n': 39, 'trace_an': 0}
-
id: 123633039
{'hecke_orbit_code': 9008504958355172, 'n': 40, 'trace_an': 0}
-
id: 123633040
{'hecke_orbit_code': 9008504958355172, 'n': 41, 'trace_an': 0}
-
id: 123633041
{'hecke_orbit_code': 9008504958355172, 'n': 42, 'trace_an': 0}
-
id: 123633042
{'hecke_orbit_code': 9008504958355172, 'n': 43, 'trace_an': 64}
-
id: 123633043
{'hecke_orbit_code': 9008504958355172, 'n': 44, 'trace_an': 0}
-
id: 123633044
{'hecke_orbit_code': 9008504958355172, 'n': 45, 'trace_an': 0}
-
id: 123633045
{'hecke_orbit_code': 9008504958355172, 'n': 46, 'trace_an': 0}
-
id: 123633046
{'hecke_orbit_code': 9008504958355172, 'n': 47, 'trace_an': 0}
-
id: 123633047
{'hecke_orbit_code': 9008504958355172, 'n': 48, 'trace_an': 0}
-
id: 123633048
{'hecke_orbit_code': 9008504958355172, 'n': 49, 'trace_an': 0}
-
id: 123633049
{'hecke_orbit_code': 9008504958355172, 'n': 50, 'trace_an': 0}
-
id: 123633050
{'hecke_orbit_code': 9008504958355172, 'n': 51, 'trace_an': 0}
-
id: 123633051
{'hecke_orbit_code': 9008504958355172, 'n': 52, 'trace_an': 0}
-
id: 123633052
{'hecke_orbit_code': 9008504958355172, 'n': 53, 'trace_an': 0}
-
id: 123633053
{'hecke_orbit_code': 9008504958355172, 'n': 54, 'trace_an': 0}
-
id: 123633054
{'hecke_orbit_code': 9008504958355172, 'n': 55, 'trace_an': 0}
-
id: 123633055
{'hecke_orbit_code': 9008504958355172, 'n': 56, 'trace_an': 0}
-
id: 123633056
{'hecke_orbit_code': 9008504958355172, 'n': 57, 'trace_an': 0}
-
id: 123633057
{'hecke_orbit_code': 9008504958355172, 'n': 58, 'trace_an': 0}
-
id: 123633058
{'hecke_orbit_code': 9008504958355172, 'n': 59, 'trace_an': 0}
-
id: 123633059
{'hecke_orbit_code': 9008504958355172, 'n': 60, 'trace_an': 0}
-
id: 123633060
{'hecke_orbit_code': 9008504958355172, 'n': 61, 'trace_an': 0}
-
id: 123633061
{'hecke_orbit_code': 9008504958355172, 'n': 62, 'trace_an': 0}
-
id: 123633062
{'hecke_orbit_code': 9008504958355172, 'n': 63, 'trace_an': 0}
-
id: 123633063
{'hecke_orbit_code': 9008504958355172, 'n': 64, 'trace_an': 0}
-
id: 123633064
{'hecke_orbit_code': 9008504958355172, 'n': 65, 'trace_an': 0}
-
id: 123633065
{'hecke_orbit_code': 9008504958355172, 'n': 66, 'trace_an': 0}
-
id: 123633066
{'hecke_orbit_code': 9008504958355172, 'n': 67, 'trace_an': -32}
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id: 123633067
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