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mf_newforms • Show schema
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{'Nk2': 8400, 'analytic_conductor': 16.76858442446888, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 105, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [2100, 2, [1051, 701, 1177, 1501], [2, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1049, 'conrey_indexes': [1049], 'dim': 16, 'field_disc': 3498277706137600000000, 'field_disc_factorization': [[2, 36], [5, 8], [19, 4]], 'field_poly': [3204, -16848, 37232, -44288, 30032, -11608, 4136, -4872, 5642, -3800, 1324, -84, -80, -4, 22, -8, 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': [[11, [19, 0, 16, 0, 1]], [13, [4, 0, -36, 0, 1]], [23, [475, 0, -80, 0, 1]], [41, [1900, 0, -90, 0, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36029140649904180, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 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mf_hecke_cc • Show schema
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'embedding_root_imag': -0.3871446036193428, 'embedding_root_real': 1.9346497526573734, 'hecke_orbit': 9, 'hecke_orbit_code': 36029140649904180, 'label': '2100.2.f.i.1049.16', 'level': 2100, 'weight': 2}
-
mf_newspaces • Show schema
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{'Nk2': 8400, 'analytic_conductor': 16.76858442446888, 'char_conductor': 105, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [2100, 2, [1051, 701, 1177, 1501], [2, 1, 1, 1]], 'conrey_index': 1049, 'cusp_dim': 444, 'dim': 48, 'eis_dim': 72, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13, 23, 41], 'hecke_orbit_code': 343630940212, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 4, 4, 16], 'label': '2100.2.f', 'level': 2100, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 516, 'mf_new_dim': 48, 'num_forms': 9, 'prim_orbit_index': 7, 'relative_dim': 48, 'sturm_bound': 960, 'trace_bound': 21, 'trace_display': [0, 0, 0, 0], 'traces': [48, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -34, 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mf_twists_cc • Show schema
Hide schema
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id: 46650487
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1049, 'source_dim': 16, 'source_embedding_index': 16, 'source_hecke_orbit_code': 36029140649904180, 'source_is_minimal': False, 'source_label': '2100.2.f.i.1049.16', 'source_level': 2100, 'target_conrey_index': 1049, 'target_dim': 16, 'target_embedding_index': 16, 'target_hecke_orbit_code': 36029140649904180, 'target_is_minimal': False, 'target_label': '2100.2.f.i.1049.16', 'target_level': 2100, 'twist_class_label': '2100.2.d.k.1301.3', 'twist_class_level': 2100, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46650488
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1049, 'source_dim': 16, 'source_embedding_index': 16, 'source_hecke_orbit_code': 36029140649904180, 'source_is_minimal': False, 'source_label': '2100.2.f.i.1049.16', 'source_level': 2100, 'target_conrey_index': 1049, 'target_dim': 16, 'target_embedding_index': 14, 'target_hecke_orbit_code': 36029140649904180, 'target_is_minimal': False, 'target_label': '2100.2.f.i.1049.14', 'target_level': 2100, 'twist_class_label': '2100.2.d.k.1301.3', 'twist_class_level': 2100, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46650489
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1049, 'source_dim': 16, 'source_embedding_index': 16, 'source_hecke_orbit_code': 36029140649904180, 'source_is_minimal': False, 'source_label': '2100.2.f.i.1049.16', 'source_level': 2100, 'target_conrey_index': 1301, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 45036202465691700, 'target_is_minimal': True, 'target_label': '2100.2.d.k.1301.5', 'target_level': 2100, 'twist_class_label': '2100.2.d.k.1301.3', 'twist_class_level': 2100, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46650490
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1049, 'source_dim': 16, 'source_embedding_index': 16, 'source_hecke_orbit_code': 36029140649904180, 'source_is_minimal': False, 'source_label': '2100.2.f.i.1049.16', 'source_level': 2100, 'target_conrey_index': 1301, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 49539802093062196, 'target_is_minimal': True, 'target_label': '2100.2.d.l.1301.4', 'target_level': 2100, 'twist_class_label': '2100.2.d.k.1301.3', 'twist_class_level': 2100, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46650491
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1049, 'source_dim': 16, 'source_embedding_index': 16, 'source_hecke_orbit_code': 36029140649904180, 'source_is_minimal': False, 'source_label': '2100.2.f.i.1049.16', 'source_level': 2100, 'target_conrey_index': 1049, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029140649904180, 'target_is_minimal': False, 'target_label': '2100.2.f.i.1049.1', 'target_level': 2100, 'twist_class_label': '2100.2.d.k.1301.3', 'twist_class_level': 2100, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46650492
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1049, 'source_dim': 16, 'source_embedding_index': 16, 'source_hecke_orbit_code': 36029140649904180, 'source_is_minimal': False, 'source_label': '2100.2.f.i.1049.16', 'source_level': 2100, 'target_conrey_index': 1049, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029140649904180, 'target_is_minimal': False, 'target_label': '2100.2.f.i.1049.2', 'target_level': 2100, 'twist_class_label': '2100.2.d.k.1301.3', 'twist_class_level': 2100, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 46650493
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1049, 'source_dim': 16, 'source_embedding_index': 16, 'source_hecke_orbit_code': 36029140649904180, 'source_is_minimal': False, 'source_label': '2100.2.f.i.1049.16', 'source_level': 2100, 'target_conrey_index': 1301, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 45036202465691700, 'target_is_minimal': True, 'target_label': '2100.2.d.k.1301.3', 'target_level': 2100, 'twist_class_label': '2100.2.d.k.1301.3', 'twist_class_level': 2100, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46650494
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1049, 'source_dim': 16, 'source_embedding_index': 16, 'source_hecke_orbit_code': 36029140649904180, 'source_is_minimal': False, 'source_label': '2100.2.f.i.1049.16', 'source_level': 2100, 'target_conrey_index': 1301, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 49539802093062196, 'target_is_minimal': True, 'target_label': '2100.2.d.l.1301.6', 'target_level': 2100, 'twist_class_label': '2100.2.d.k.1301.3', 'twist_class_level': 2100, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 46650495
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1049, 'source_dim': 16, 'source_embedding_index': 16, 'source_hecke_orbit_code': 36029140649904180, 'source_is_minimal': False, 'source_label': '2100.2.f.i.1049.16', 'source_level': 2100, 'target_conrey_index': 1049, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 36029140649904180, 'target_is_minimal': False, 'target_label': '2100.2.f.i.1049.3', 'target_level': 2100, 'twist_class_label': '2100.2.d.k.1301.3', 'twist_class_level': 2100, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 46650496
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1049, 'source_dim': 16, 'source_embedding_index': 16, 'source_hecke_orbit_code': 36029140649904180, 'source_is_minimal': False, 'source_label': '2100.2.f.i.1049.16', 'source_level': 2100, 'target_conrey_index': 1049, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 36029140649904180, 'target_is_minimal': False, 'target_label': '2100.2.f.i.1049.4', 'target_level': 2100, 'twist_class_label': '2100.2.d.k.1301.3', 'twist_class_level': 2100, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 46650497
{'conductor': 35, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1049, 'source_dim': 16, 'source_embedding_index': 16, 'source_hecke_orbit_code': 36029140649904180, 'source_is_minimal': False, 'source_label': '2100.2.f.i.1049.16', 'source_level': 2100, 'target_conrey_index': 1301, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 49539802093062196, 'target_is_minimal': True, 'target_label': '2100.2.d.l.1301.5', 'target_level': 2100, 'twist_class_label': '2100.2.d.k.1301.3', 'twist_class_level': 2100, 'twisting_char_label': '35.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 46650498
{'conductor': 35, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1049, 'source_dim': 16, 'source_embedding_index': 16, 'source_hecke_orbit_code': 36029140649904180, 'source_is_minimal': False, 'source_label': '2100.2.f.i.1049.16', 'source_level': 2100, 'target_conrey_index': 1301, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 45036202465691700, 'target_is_minimal': True, 'target_label': '2100.2.d.k.1301.4', 'target_level': 2100, 'twist_class_label': '2100.2.d.k.1301.3', 'twist_class_level': 2100, 'twisting_char_label': '35.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 46650499
{'conductor': 35, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1049, 'source_dim': 16, 'source_embedding_index': 16, 'source_hecke_orbit_code': 36029140649904180, 'source_is_minimal': False, 'source_label': '2100.2.f.i.1049.16', 'source_level': 2100, 'target_conrey_index': 1049, 'target_dim': 16, 'target_embedding_index': 15, 'target_hecke_orbit_code': 36029140649904180, 'target_is_minimal': False, 'target_label': '2100.2.f.i.1049.15', 'target_level': 2100, 'twist_class_label': '2100.2.d.k.1301.3', 'twist_class_level': 2100, 'twisting_char_label': '35.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 46650500
{'conductor': 105, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1049, 'source_dim': 16, 'source_embedding_index': 16, 'source_hecke_orbit_code': 36029140649904180, 'source_is_minimal': False, 'source_label': '2100.2.f.i.1049.16', 'source_level': 2100, 'target_conrey_index': 1301, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 45036202465691700, 'target_is_minimal': True, 'target_label': '2100.2.d.k.1301.6', 'target_level': 2100, 'twist_class_label': '2100.2.d.k.1301.3', 'twist_class_level': 2100, 'twisting_char_label': '105.62', 'twisting_conrey_index': 62, 'weight': 2}
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id: 46650501
{'conductor': 105, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1049, 'source_dim': 16, 'source_embedding_index': 16, 'source_hecke_orbit_code': 36029140649904180, 'source_is_minimal': False, 'source_label': '2100.2.f.i.1049.16', 'source_level': 2100, 'target_conrey_index': 1301, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 49539802093062196, 'target_is_minimal': True, 'target_label': '2100.2.d.l.1301.3', 'target_level': 2100, 'twist_class_label': '2100.2.d.k.1301.3', 'twist_class_level': 2100, 'twisting_char_label': '105.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 46650502
{'conductor': 105, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1049, 'source_dim': 16, 'source_embedding_index': 16, 'source_hecke_orbit_code': 36029140649904180, 'source_is_minimal': False, 'source_label': '2100.2.f.i.1049.16', 'source_level': 2100, 'target_conrey_index': 1049, 'target_dim': 16, 'target_embedding_index': 13, 'target_hecke_orbit_code': 36029140649904180, 'target_is_minimal': False, 'target_label': '2100.2.f.i.1049.13', 'target_level': 2100, 'twist_class_label': '2100.2.d.k.1301.3', 'twist_class_level': 2100, 'twisting_char_label': '105.104', 'twisting_conrey_index': 104, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2422450
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 36029140649904180, 'p': 2}
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id: 2422451
{'charpoly_factorization': [[[81, 0, 54, 0, 22, 0, 6, 0, 1], 2]], 'hecke_orbit_code': 36029140649904180, 'p': 3}
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id: 2422452
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 36029140649904180, 'p': 5}
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id: 2422453
{'charpoly_factorization': [[[49, 0, 6, 0, 1], 4]], 'hecke_orbit_code': 36029140649904180, 'p': 7}
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id: 2422454
{'charpoly_factorization': [[[19, 0, 16, 0, 1], 4]], 'hecke_orbit_code': 36029140649904180, 'p': 11}
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id: 2422455
{'charpoly_factorization': [[[4, 0, -36, 0, 1], 4]], 'hecke_orbit_code': 36029140649904180, 'p': 13}
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id: 2422456
{'charpoly_factorization': [[[76, 0, 22, 0, 1], 4]], 'hecke_orbit_code': 36029140649904180, 'p': 17}
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id: 2422457
{'charpoly_factorization': [[[100, 0, 30, 0, 1], 4]], 'hecke_orbit_code': 36029140649904180, 'p': 19}
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id: 2422458
{'charpoly_factorization': [[[475, 0, -80, 0, 1], 4]], 'hecke_orbit_code': 36029140649904180, 'p': 23}
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id: 2422459
{'charpoly_factorization': [[[2299, 0, 104, 0, 1], 4]], 'hecke_orbit_code': 36029140649904180, 'p': 29}
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id: 2422460
{'charpoly_factorization': [[[100, 0, 30, 0, 1], 4]], 'hecke_orbit_code': 36029140649904180, 'p': 31}
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id: 2422461
{'charpoly_factorization': [[[5, 0, 1], 8]], 'hecke_orbit_code': 36029140649904180, 'p': 37}
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id: 2422462
{'charpoly_factorization': [[[1900, 0, -90, 0, 1], 4]], 'hecke_orbit_code': 36029140649904180, 'p': 41}
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id: 2422463
{'charpoly_factorization': [[[25, 0, 90, 0, 1], 4]], 'hecke_orbit_code': 36029140649904180, 'p': 43}
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id: 2422464
{'charpoly_factorization': [[[9196, 0, 222, 0, 1], 4]], 'hecke_orbit_code': 36029140649904180, 'p': 47}
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id: 2422465
{'charpoly_factorization': [[[7600, 0, -180, 0, 1], 4]], 'hecke_orbit_code': 36029140649904180, 'p': 53}
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id: 2422466
{'charpoly_factorization': [[[1900, 0, -160, 0, 1], 4]], 'hecke_orbit_code': 36029140649904180, 'p': 59}
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id: 2422467
{'charpoly_factorization': [[[2500, 0, 150, 0, 1], 4]], 'hecke_orbit_code': 36029140649904180, 'p': 61}
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id: 2422468
{'charpoly_factorization': [[[45, 0, 1], 8]], 'hecke_orbit_code': 36029140649904180, 'p': 67}
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id: 2422469
{'charpoly_factorization': [[[475, 0, 120, 0, 1], 4]], 'hecke_orbit_code': 36029140649904180, 'p': 71}
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id: 2422470
{'charpoly_factorization': [[[-2, 0, 1], 8]], 'hecke_orbit_code': 36029140649904180, 'p': 73}
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id: 2422471
{'charpoly_factorization': [[[-11, -6, 1], 8]], 'hecke_orbit_code': 36029140649904180, 'p': 79}
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id: 2422472
{'charpoly_factorization': [[[1900, 0, 90, 0, 1], 4]], 'hecke_orbit_code': 36029140649904180, 'p': 83}
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id: 2422473
{'charpoly_factorization': [[[1900, 0, -240, 0, 1], 4]], 'hecke_orbit_code': 36029140649904180, 'p': 89}
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id: 2422474
{'charpoly_factorization': [[[4, 0, -94, 0, 1], 4]], 'hecke_orbit_code': 36029140649904180, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 9, 'label': '2100.2.f.i', 'level': 2100, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 201849000
{'hecke_orbit_code': 36029140649904180, 'n': 1, 'trace_an': 16}
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id: 201849001
{'hecke_orbit_code': 36029140649904180, 'n': 2, 'trace_an': 0}
-
id: 201849002
{'hecke_orbit_code': 36029140649904180, 'n': 3, 'trace_an': 0}
-
id: 201849003
{'hecke_orbit_code': 36029140649904180, 'n': 4, 'trace_an': 0}
-
id: 201849004
{'hecke_orbit_code': 36029140649904180, 'n': 5, 'trace_an': 0}
-
id: 201849005
{'hecke_orbit_code': 36029140649904180, 'n': 6, 'trace_an': 0}
-
id: 201849006
{'hecke_orbit_code': 36029140649904180, 'n': 7, 'trace_an': 0}
-
id: 201849007
{'hecke_orbit_code': 36029140649904180, 'n': 8, 'trace_an': 0}
-
id: 201849008
{'hecke_orbit_code': 36029140649904180, 'n': 9, 'trace_an': -24}
-
id: 201849009
{'hecke_orbit_code': 36029140649904180, 'n': 10, 'trace_an': 0}
-
id: 201849010
{'hecke_orbit_code': 36029140649904180, 'n': 11, 'trace_an': 0}
-
id: 201849011
{'hecke_orbit_code': 36029140649904180, 'n': 12, 'trace_an': 0}
-
id: 201849012
{'hecke_orbit_code': 36029140649904180, 'n': 13, 'trace_an': 0}
-
id: 201849013
{'hecke_orbit_code': 36029140649904180, 'n': 14, 'trace_an': 0}
-
id: 201849014
{'hecke_orbit_code': 36029140649904180, 'n': 15, 'trace_an': 0}
-
id: 201849015
{'hecke_orbit_code': 36029140649904180, 'n': 16, 'trace_an': 0}
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id: 201849016
{'hecke_orbit_code': 36029140649904180, 'n': 17, 'trace_an': 0}
-
id: 201849017
{'hecke_orbit_code': 36029140649904180, 'n': 18, 'trace_an': 0}
-
id: 201849018
{'hecke_orbit_code': 36029140649904180, 'n': 19, 'trace_an': 0}
-
id: 201849019
{'hecke_orbit_code': 36029140649904180, 'n': 20, 'trace_an': 0}
-
id: 201849020
{'hecke_orbit_code': 36029140649904180, 'n': 21, 'trace_an': -8}
-
id: 201849021
{'hecke_orbit_code': 36029140649904180, 'n': 22, 'trace_an': 0}
-
id: 201849022
{'hecke_orbit_code': 36029140649904180, 'n': 23, 'trace_an': 0}
-
id: 201849023
{'hecke_orbit_code': 36029140649904180, 'n': 24, 'trace_an': 0}
-
id: 201849024
{'hecke_orbit_code': 36029140649904180, 'n': 25, 'trace_an': 0}
-
id: 201849025
{'hecke_orbit_code': 36029140649904180, 'n': 26, 'trace_an': 0}
-
id: 201849026
{'hecke_orbit_code': 36029140649904180, 'n': 27, 'trace_an': 0}
-
id: 201849027
{'hecke_orbit_code': 36029140649904180, 'n': 28, 'trace_an': 0}
-
id: 201849028
{'hecke_orbit_code': 36029140649904180, 'n': 29, 'trace_an': 0}
-
id: 201849029
{'hecke_orbit_code': 36029140649904180, 'n': 30, 'trace_an': 0}
-
id: 201849030
{'hecke_orbit_code': 36029140649904180, 'n': 31, 'trace_an': 0}
-
id: 201849031
{'hecke_orbit_code': 36029140649904180, 'n': 32, 'trace_an': 0}
-
id: 201849032
{'hecke_orbit_code': 36029140649904180, 'n': 33, 'trace_an': 0}
-
id: 201849033
{'hecke_orbit_code': 36029140649904180, 'n': 34, 'trace_an': 0}
-
id: 201849034
{'hecke_orbit_code': 36029140649904180, 'n': 35, 'trace_an': 0}
-
id: 201849035
{'hecke_orbit_code': 36029140649904180, 'n': 36, 'trace_an': 0}
-
id: 201849036
{'hecke_orbit_code': 36029140649904180, 'n': 37, 'trace_an': 0}
-
id: 201849037
{'hecke_orbit_code': 36029140649904180, 'n': 38, 'trace_an': 0}
-
id: 201849038
{'hecke_orbit_code': 36029140649904180, 'n': 39, 'trace_an': -24}
-
id: 201849039
{'hecke_orbit_code': 36029140649904180, 'n': 40, 'trace_an': 0}
-
id: 201849040
{'hecke_orbit_code': 36029140649904180, 'n': 41, 'trace_an': 0}
-
id: 201849041
{'hecke_orbit_code': 36029140649904180, 'n': 42, 'trace_an': 0}
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