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mf_newforms • Show schema
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{'Nk2': 3780, 'analytic_conductor': 7.5458629910109964, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 63, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 3, 'char_parity': 1, 'char_values': [945, 3, [596, 757, 136], [1, 3, 2]], 'cm_discs': [], 'conrey_index': 361, 'dim': 4, 'field_disc': 1521, 'field_disc_factorization': [[3, 2], [13, 2]], 'field_poly': [9, 3, 4, -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, -3, 4, 1, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 687228322737, 'hecke_ring_generator_nbound': 13, '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, 63, 7, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 3780, 'analytic_conductor': 7.5458629910109964, 'char_conductor': 63, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 3, 'char_parity': 1, 'char_values': [945, 3, [596, 757, 136], [1, 3, 2]], 'conrey_index': 361, 'cusp_dim': 264, 'dim': 64, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 687228322737, 'hecke_orbit_dims': [4, 24, 36], 'label': '945.2.k', 'level': 945, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 7], 'level_radical': 105, 'mf_dim': 312, 'mf_new_dim': 64, 'num_forms': 3, 'prim_orbit_index': 7, 'relative_dim': 32, 'sturm_bound': 288, 'trace_bound': 1, 'trace_display': [0, 0, -8, -2], 'traces': [64, 0, 0, -32, -8, 0, -2, 0, 0, 0, 4, 0, 2, 18, 0, -32, 16, 0, -4, 12, 0, 0, -12, 0, 64, 8, 0, -8, 10, 0, 8, -20, 0, 0, 0, 0, 2, -88, 0, 0, -10, 0, 8, 14, 0, -6, 52, 0, -14, 0, 0, -16, 0, 0, 0, -102, 0, 0, 10, 0, 8, 24, 0, 64, -2, 0, 14, -116, 0, 6, -48, 0, -28, 88, 0, -16, -10, 0, 8, 28, 0, 0, 68, 0, 6, 4, 0, 0, 14, 0, -22, 100, 0, 12, 0, 0, 2, 10, 0, -32, 8, 0, -28, -12, 0, -30, -40, 0, 20, 38, 0, 70, -6, 0, 0, -58, 0, -120, 14, 0, 52, 20, 0, 20, -8, 0, -16, -26, 0, 0, -16, 0, -34, -20, 0, -30, 56, 0, 2, -18, 0, -48, 66, 0, -6, -112, 0, -70, 104, 0, -40, 102, 0, 24, 8, 0, -64, 8, 0, 0, 116, 0, 2, 48, 0, 12, 40, 0, -48, -20, 0, -28, 70, 0, -2, 112, 0, 108, 64, 0, 44, -266, 0, 132, 32, 0, -18, -232, 0, 0, -12, 0, -4, 80, 0, -62, -164, 0, 38, 0, 0, 84, -86, 0, -18, -26, 0, -52, -12, 0, 8, 104, 0, 108, 66, 0, 32, -18, 0, 0, -2, 0, -16, -4, 0, 36, -152, 0, -76, 42, 0, -48, -48, 0, 6, -72, 0, -6, -28, 0, -28, -140, 0, -76, 0, 0, -116, 62, 0, 0, 96, 0, 48, 44, 0, -32, -208, 0, -34, -44, 0, -30, -168, 0, 0, 140, 0, 92, -74, 0, 14, -80, 0, -72, 4, 0, -4, 46, 0, -36, 42, 0, 8, -66, 0, 36, 88, 0, -26, -80, 0, 224, 134, 0, 0, -26, 0, -24, -32, 0, 80, 266, 0, 80, 14, 0, -112, 234, 0, 0, -24, 0, 20, 60, 0, -4, -36, 0, 12, -192, 0, -12, 216, 0, 2, 220, 0, -24, -136, 0, -4, 44, 0, 114, 84, 0, -28, 8, 0, -48, -16, 0, 166, -72, 0, -114, -56, 0, 32, 18, 0, -72, 40, 0, 0, -196, 0, -36, 42, 0, -36, 30, 0, 44, -8, 0, 128, 182, 0, 0, 4, 0, 56, -50, 0, -30, 16, 0, -4, -36, 0, -138, -236, 0, 0, -96, 0, 140, -176, 0, 72, 132, 0, -84, 64, 0, 26, 186, 0, -32, 132, 0, 76, -132, 0, 144, 44, 0, 14, 16, 0, 56, -10, 0, 24, 184, 0, 84, 26, 0, 14, 10, 0, -60, 16, 0, -166, -206, 0, -72, -92, 0, -88, 90, 0, -172, 82, 0, -160, -200, 0, 168, -40, 0, 6, 424, 0, 22, 16, 0, -24, 360, 0, -132, -36, 0, 68, 114, 0, 0, -96, 0, -40, -380, 0, 84, 44, 0, -100, 16, 0, 120, 272, 0, -4, -36, 0, -84, 68, 0, 124, -208, 0, -98, -30, 0, -64, 12, 0, 42, -58, 0, 24, 2, 0, -256, -66, 0, -124, 12, 0, -72, -480, 0, -72, 186, 0, -46, 300, 0, -34, -364, 0, -66, -48, 0, -30, -100, 0, 0, -84, 0, 14, -120, 0, -36, -148, 0, 40, 104, 0, 146, -142, 0, 0, -242, 0, 108, -238, 0, -70, 4, 0, 120, 94, 0, 50, -16, 0, 0, -104, 0, 8, -196, 0, 68, -32, 0, 292, 48, 0, 312, 34, 0, 0, 628, 0, 252, -18, 0, -88, -108, 0, 6, -12, 0, 50, -324, 0, 18, 162, 0, -174, -182, 0, -114, 52, 0, 76, 160, 0, 272, 20, 0, -12, 62, 0, -36, 56, 0, -58, 270, 0, 68, -72, 0, -148, 296, 0, 0, 158, 0, -34, -306, 0, -306, -6, 0, -340, 72, 0, 96, 338, 0, 64, -126, 0, -40, 116, 0, 248, -96, 0, -24, -196, 0, 104, 440, 0, -42, 84, 0, 26, 94, 0, 120, 200, 0, -6, 8, 0, 92, 264, 0, 0, -334, 0, -18, -190, 0, 152, -166, 0, -42, 28, 0, -126, 44, 0, 12, -118, 0, -28, 132, 0, 12, 140, 0, -82, 16, 0, -216, 260, 0, 0, -240, 0, -64, -220, 0, 8, 300, 0, 12, -36, 0, 96, 64, 0, -8, 8, 0, 22, -84, 0, 96, 174, 0, -4, 4, 0, -132, 128, 0, -12, -680, 0, -132, -148, 0, 74, 186, 0, -100, 10, 0, 8, -136, 0, 36, 24, 0, 104, -152, 0, 18, 22, 0, -70, 158, 0, 24, -88, 0, 132, -202, 0, 360, 138, 0, 332, 34, 0, 42, -248, 0, -196, 6, 0, -54, 320, 0, 56, 648, 0, 216, 244, 0, 80, -236, 0, -16, -206, 0, 8, -330, 0, 108, -104, 0, 132, -42, 0, 16, -20, 0, 158, 418, 0, 84, -216, 0, 64, 268, 0, 80, 22, 0, 84, -20, 0, 84, 88, 0, -18, 24, 0, -516, 84, 0, 80, -390, 0, -168, 96, 0, 100, -456, 0, 84, -2, 0, -130, 652, 0, -30, 52, 0, -64, -196, 0, -100, -508, 0, 54, -158, 0, -66, -38, 0, -110, 316, 0, 140, 80, 0, -338, -298, 0, 0, -42, 0, -130, -500, 0, -30, -132, 0, 116, 152, 0, -108, -168, 0, -36, -326, 0, -106, -92, 0, 100, -174, 0, -384, 0, 0, -52, -164, 0, -72, 376, 0, -280, 282, 0, 120, -180, 0, 104, -80, 0, -70, -712, 0, -24, 386, 0, 84, -158, 0, -12, -296, 0, -72, 100, 0, -76, 60, 0, 150, 40, 0, 0, 132, 0, 92, 84, 0, -28, -76, 0, -288, 288, 0, 2, 180, 0, -162, -146, 0, 50, 152, 0, 132, 84, 0, -100, 508, 0, -48, -82, 0, 126, 568, 0, -204, 174, 0, 40, -88, 0, -216, 188, 0, 0, 744, 0, 132, 94, 0, -36, -128, 0, -370, 136, 0, -82, 564, 0, 48, -246, 0, -178, -86, 0, 272, -178, 0, -120, 178, 0, 324, -52, 0, 0, -440, 0, 232, -146, 0, 14, 8, 0, -270, -12, 0, -280, 330, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 8414721
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 856, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 687228322737, 'source_is_minimal': False, 'source_label': '945.2.k.a.856.2', 'source_level': 945, 'target_conrey_index': 856, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 687228322737, 'target_is_minimal': False, 'target_label': '945.2.k.a.856.2', 'target_level': 945, 'twist_class_label': '315.2.k.a.16.1', 'twist_class_level': 315, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 8414722
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 856, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 687228322737, 'source_is_minimal': False, 'source_label': '945.2.k.a.856.2', 'source_level': 945, 'target_conrey_index': 16, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 687228322107, 'target_is_minimal': True, 'target_label': '315.2.k.a.16.1', 'target_level': 315, 'twist_class_label': '315.2.k.a.16.1', 'twist_class_level': 315, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 8414723
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 856, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 687228322737, 'source_is_minimal': False, 'source_label': '945.2.k.a.856.2', 'source_level': 945, 'target_conrey_index': 46, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 755947799473, 'target_is_minimal': False, 'target_label': '945.2.l.a.46.1', 'target_level': 945, 'twist_class_label': '315.2.k.a.16.1', 'twist_class_level': 315, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 8414724
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 856, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 687228322737, 'source_is_minimal': False, 'source_label': '945.2.k.a.856.2', 'source_level': 945, 'target_conrey_index': 226, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 755947799473, 'target_is_minimal': False, 'target_label': '945.2.l.a.226.1', 'target_level': 945, 'twist_class_label': '315.2.k.a.16.1', 'twist_class_level': 315, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 8414725
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 856, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 687228322737, 'source_is_minimal': False, 'source_label': '945.2.k.a.856.2', 'source_level': 945, 'target_conrey_index': 121, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 755947798843, 'target_is_minimal': True, 'target_label': '315.2.l.a.121.2', 'target_level': 315, 'twist_class_label': '315.2.k.a.16.1', 'twist_class_level': 315, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 8414726
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 856, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 687228322737, 'source_is_minimal': False, 'source_label': '945.2.k.a.856.2', 'source_level': 945, 'target_conrey_index': 151, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 755947798843, 'target_is_minimal': True, 'target_label': '315.2.l.a.151.2', 'target_level': 315, 'twist_class_label': '315.2.k.a.16.1', 'twist_class_level': 315, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 8414727
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 856, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 687228322737, 'source_is_minimal': False, 'source_label': '945.2.k.a.856.2', 'source_level': 945, 'target_conrey_index': 361, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 687228322737, 'target_is_minimal': False, 'target_label': '945.2.k.a.361.2', 'target_level': 945, 'twist_class_label': '315.2.k.a.16.1', 'twist_class_level': 315, 'twisting_char_label': '63.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 8414728
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 856, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 687228322737, 'source_is_minimal': False, 'source_label': '945.2.k.a.856.2', 'source_level': 945, 'target_conrey_index': 256, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 687228322107, 'target_is_minimal': True, 'target_label': '315.2.k.a.256.1', 'target_level': 315, 'twist_class_label': '315.2.k.a.16.1', 'twist_class_level': 315, 'twisting_char_label': '63.32', 'twisting_conrey_index': 32, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1519475
{'charpoly_factorization': [[[9, -3, 4, 1, 1], 1]], 'hecke_orbit_code': 687228322737, 'p': 2}
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id: 1519476
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 687228322737, 'p': 3}
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id: 1519477
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 687228322737, 'p': 5}
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id: 1519478
{'charpoly_factorization': [[[7, 4, 1], 2]], 'hecke_orbit_code': 687228322737, 'p': 7}
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id: 1519479
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 687228322737, 'p': 11}
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id: 1519480
{'charpoly_factorization': [[[81, 36, 25, -4, 1], 1]], 'hecke_orbit_code': 687228322737, 'p': 13}
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id: 1519481
{'charpoly_factorization': [[[81, 36, 25, -4, 1], 1]], 'hecke_orbit_code': 687228322737, 'p': 17}
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id: 1519482
{'charpoly_factorization': [[[169, 0, 13, 0, 1], 1]], 'hecke_orbit_code': 687228322737, 'p': 19}
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id: 1519483
{'charpoly_factorization': [[[-48, 4, 1], 2]], 'hecke_orbit_code': 687228322737, 'p': 23}
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id: 1519484
{'charpoly_factorization': [[[2601, 102, 55, -2, 1], 1]], 'hecke_orbit_code': 687228322737, 'p': 29}
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id: 1519485
{'charpoly_factorization': [[[169, 0, 13, 0, 1], 1]], 'hecke_orbit_code': 687228322737, 'p': 31}
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id: 1519486
{'charpoly_factorization': [[[169, 0, 13, 0, 1], 1]], 'hecke_orbit_code': 687228322737, 'p': 37}
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id: 1519487
{'charpoly_factorization': [[[9, -3, 1], 2]], 'hecke_orbit_code': 687228322737, 'p': 41}
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id: 1519488
{'charpoly_factorization': [[[1849, 258, 79, -6, 1], 1]], 'hecke_orbit_code': 687228322737, 'p': 43}
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id: 1519489
{'charpoly_factorization': [[[2601, -102, 55, 2, 1], 1]], 'hecke_orbit_code': 687228322737, 'p': 47}
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id: 1519490
{'charpoly_factorization': [[[9, -24, 61, -8, 1], 1]], 'hecke_orbit_code': 687228322737, 'p': 53}
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id: 1519491
{'charpoly_factorization': [[[2601, 816, 205, 16, 1], 1]], 'hecke_orbit_code': 687228322737, 'p': 59}
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id: 1519492
{'charpoly_factorization': [[[1849, 258, 79, -6, 1], 1]], 'hecke_orbit_code': 687228322737, 'p': 61}
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id: 1519493
{'charpoly_factorization': [[[1849, 258, 79, -6, 1], 1]], 'hecke_orbit_code': 687228322737, 'p': 67}
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id: 1519494
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 687228322737, 'p': 71}
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id: 1519495
{'charpoly_factorization': [[[169, 0, 13, 0, 1], 1]], 'hecke_orbit_code': 687228322737, 'p': 73}
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id: 1519496
{'charpoly_factorization': [[[12769, -452, 129, 4, 1], 1]], 'hecke_orbit_code': 687228322737, 'p': 79}
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id: 1519497
{'charpoly_factorization': [[[9, -42, 199, 14, 1], 1]], 'hecke_orbit_code': 687228322737, 'p': 83}
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id: 1519498
{'charpoly_factorization': [[[9, -3, 1], 2]], 'hecke_orbit_code': 687228322737, 'p': 89}
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id: 1519499
{'charpoly_factorization': [[[7569, 1740, 313, 20, 1], 1]], 'hecke_orbit_code': 687228322737, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 11, 'hecke_orbit': 1, 'label': '945.2.k.a', 'level': 945, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 41132000
{'hecke_orbit_code': 687228322737, 'n': 1, 'trace_an': 4}
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id: 41132001
{'hecke_orbit_code': 687228322737, 'n': 2, 'trace_an': -1}
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id: 41132002
{'hecke_orbit_code': 687228322737, 'n': 3, 'trace_an': 0}
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id: 41132003
{'hecke_orbit_code': 687228322737, 'n': 4, 'trace_an': -3}
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id: 41132004
{'hecke_orbit_code': 687228322737, 'n': 5, 'trace_an': 4}
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id: 41132005
{'hecke_orbit_code': 687228322737, 'n': 6, 'trace_an': 0}
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id: 41132006
{'hecke_orbit_code': 687228322737, 'n': 7, 'trace_an': -8}
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id: 41132007
{'hecke_orbit_code': 687228322737, 'n': 8, 'trace_an': 12}
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id: 41132008
{'hecke_orbit_code': 687228322737, 'n': 9, 'trace_an': 0}
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id: 41132009
{'hecke_orbit_code': 687228322737, 'n': 10, 'trace_an': -1}
-
id: 41132010
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