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{'Nk2': 32184, 'analytic_conductor': 64.2476334663222, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [149, 1]], 'atkin_lehner_string': '+++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8046, 1, [299, 3727], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 12, 'field_disc': 149969555862515024853177, 'field_disc_factorization': [[3, 8], [31, 1], [43, 1], [97071119, 1], [176649691, 1]], 'field_poly': [423, 5508, -3639, -6927, 3921, 3265, -1643, -724, 320, 76, -29, -3, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [423, -5508, -3639, 6927, 3921, -3265, -1643, 724, 320, -76, -29, 3, 1]], [11, [639, -4500, 2745, 12831, -9084, -11799, 5783, 3849, -377, -358, -13, 10, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532396679896942, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '8046.2.a.j', 'level': 8046, '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': [2, 3, 149], 'level_radical': 894, 'minimal_twist': '8046.2.a.j', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}-\\beta _{1}q^{5}+(1+\\beta _{6})q^{7}-q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 12, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8046.2.a', 'trace_display': 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-0.2846706299727875, -0.16798158990363776, -0.2698836160100728, -0.4095572154798141, -0.2252078135950659, -0.2806946433398082, -0.13343064224513004, -0.18153973199353804, -0.20801649826442048, -0.24000351946056245, -0.2638064623670107, -0.3758855951558728, -0.25014901241474574, -0.2462937948685523], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 4, 'dual_embedding_m': 4, 'embedding_index': 4, 'embedding_m': 4, 'embedding_root_imag': 0.0, 'embedding_root_real': 1.8421045730970511, 'hecke_orbit': 10, 'hecke_orbit_code': 40532396679896942, 'label': '8046.2.a.j.1.4', 'level': 8046, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [21, 28, 28, 21, 28, 21, 21, 28], 'Nk2': 32184, 'analytic_conductor': 64.2476334663222, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8046, 1, [299, 3727], [1, 1]], 'conrey_index': 1, 'cusp_dim': 1339, 'dim': 196, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11], 'hecke_orbit_code': 33562478, 'hecke_orbit_dims': [1, 1, 2, 2, 8, 8, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 14, 14, 16, 16], 'label': '8046.2.a', 'level': 8046, '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': [2, 3, 149], 'level_radical': 894, 'mf_dim': 1362, 'mf_new_dim': 196, 'num_forms': 20, 'plus_dim': 84, 'prim_orbit_index': 1, 'relative_dim': 196, 'sturm_bound': 2700, 'trace_bound': 5, 'trace_display': [0, 0, 0, 8], 'traces': [196, 0, 0, 196, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 196, 0, 0, -8, 0, 0, -8, 0, 0, 172, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -8, 0, 0, -8, 0, 0, 188, 0, 0, 0, 0, 0, -32, 0, 0, -8, 0, 0, -24, 0, 0, 196, 0, 0, -40, 0, 0, -24, 0, 0, 0, 0, 0, -8, 0, 0, -16, 0, 0, -32, 0, 0, -64, 0, 0, -8, 0, 0, 8, 0, 0, 48, 0, 0, 8, 0, 0, 172, 0, 0, 40, 0, 0, 40, 0, 0, 8, 0, 0, 8, 0, 0, 64, 0, 0, 56, 0, 0, 260, 0, 0, 0, 0, 0, 64, 0, 0, -32, 0, 0, 40, 0, 0, 0, 0, 0, 64, 0, 0, 8, 0, 0, 8, 0, 0, -8, 0, 0, -48, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 32, 0, 0, 236, 0, 0, -8, 0, 0, 0, 0, 0, -16, 0, 0, 88, 0, 0, -8, 0, 0, 80, 0, 0, 104, 0, 0, 24, 0, 0, 188, 0, 0, 16, 0, 0, -40, 0, 0, 136, 0, 0, 0, 0, 0, 184, 0, 0, 56, 0, 0, 88, 0, 0, -32, 0, 0, -80, 0, 0, -48, 0, 0, -40, 0, 0, -8, 0, 0, 32, 0, 0, 112, 0, 0, -56, 0, 0, -24, 0, 0, 80, 0, 0, -48, 0, 0, -48, 0, 0, 196, 0, 0, 80, 0, 0, -80, 0, 0, 8, 0, 0, -40, 0, 0, 80, 0, 0, -40, 0, 0, 56, 0, 0, -24, 0, 0, -136, 0, 0, 96, 0, 0, 260, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 8, 0, 0, -8, 0, 0, 112, 0, 0, 88, 0, 0, 160, 0, 0, -16, 0, 0, 16, 0, 0, 32, 0, 0, 128, 0, 0, -32, 0, 0, 208, 0, 0, -96, 0, 0, 144, 0, 0, -64, 0, 0, 112, 0, 0, -24, 0, 0, -16, 0, 0, -8, 0, 0, 224, 0, 0, -24, 0, 0, 244, 0, 0, 8, 0, 0, -64, 0, 0, 32, 0, 0, 56, 0, 0, 48, 0, 0, 64, 0, 0, -72, 0, 0, 56, 0, 0, 8, 0, 0, 72, 0, 0, -80, 0, 0, -136, 0, 0, 172, 0, 0, 216, 0, 0, 72, 0, 0, 40, 0, 0, 40, 0, 0, 168, 0, 0, -40, 0, 0, 144, 0, 0, 40, 0, 0, 8, 0, 0, -176, 0, 0, -16, 0, 0, 8, 0, 0, -64, 0, 0, -112, 0, 0, 192, 0, 0, 8, 0, 0, 56, 0, 0, -152, 0, 0, -40, 0, 0, 64, 0, 0, 120, 0, 0, -80, 0, 0, 184, 0, 0, 56, 0, 0, 168, 0, 0, -8, 0, 0, -8, 0, 0, 260, 0, 0, 128, 0, 0, -152, 0, 0, 112, 0, 0, 0, 0, 0, 104, 0, 0, 32, 0, 0, 128, 0, 0, 64, 0, 0, 40, 0, 0, 0, 0, 0, 328, 0, 0, -32, 0, 0, 288, 0, 0, -72, 0, 0, 68, 0, 0, 40, 0, 0, 48, 0, 0, 8, 0, 0, -256, 0, 0, 0, 0, 0, 184, 0, 0, -192, 0, 0, 88, 0, 0, 64, 0, 0, -200, 0, 0, 56, 0, 0, 256, 0, 0, 8, 0, 0, -152, 0, 0, -80, 0, 0, 80, 0, 0, 8, 0, 0, -48, 0, 0, -80, 0, 0, -112, 0, 0, -8, 0, 0, -16, 0, 0, -48, 0, 0, 16, 0, 0, -48, 0, 0, -32, 0, 0, -48, 0, 0, -192, 0, 0, 32, 0, 0, 152, 0, 0, -64, 0, 0, 116, 0, 0, 0, 0, 0, 200, 0, 0, 72, 0, 0, -56, 0, 0, 0, 0, 0, 160, 0, 0, -40, 0, 0, 200, 0, 0, -64, 0, 0, -8, 0, 0, -16, 0, 0, -176, 0, 0, 32, 0, 0, 232, 0, 0, -200, 0, 0, -152, 0, 0, 236, 0, 0, 216, 0, 0, -64, 0, 0, -56, 0, 0, -8, 0, 0, -240, 0, 0, 136, 0, 0, -312, 0, 0, 0, 0, 0, -80, 0, 0, 64, 0, 0, -24, 0, 0, -16, 0, 0, 16, 0, 0, 64, 0, 0, -104, 0, 0, 88, 0, 0, 160, 0, 0, -112, 0, 0, 112, 0, 0, -8, 0, 0, -304, 0, 0, -88, 0, 0, 0, 0, 0, 80, 0, 0, 8, 0, 0, -248, 0, 0, -40, 0, 0, 104, 0, 0, 128, 0, 0, 112, 0, 0, 296, 0, 0, 24, 0, 0, 96, 0, 0, -56, 0, 0, -168, 0, 0, 188, 0, 0, -176, 0, 0, 24, 0, 0, 168, 0, 0, 16, 0, 0, 360, 0, 0, -32, 0, 0, 216, 0, 0, -40, 0, 0, 176, 0, 0, -40, 0, 0, -24, 0, 0, 136, 0, 0, -24, 0, 0, -56, 0, 0, 232, 0, 0, 0, 0, 0, 272, 0, 0, -160, 0, 0, 348, 0, 0, 184, 0, 0, 208, 0, 0, 208, 0, 0, -120, 0, 0, 56, 0, 0, 16, 0, 0, 232, 0, 0, -160, 0, 0, 88, 0, 0, 544, 0, 0, 176, 0, 0, 56, 0, 0, -32, 0, 0, 304, 0, 0, 32, 0, 0, 280, 0, 0, -80, 0, 0, 180, 0, 0, -12, 0, 0, -200, 0, 0, -48, 0, 0, -176, 0, 0, -4, 0, 0, 176, 0, 0, -40, 0, 0, 148, 0, 0, -40, 0, 0, -304, 0, 0, -8, 0, 0, 112, 0, 0, -152, 0, 0, 88, 0, 0, 32, 0, 0, -156, 0, 0, 104, 0, 0, -88, 0, 0, 112, 0, 0, 32, 0, 0, 196, 0, 0, 52, 0, 0, -56, 0, 0, 48, 0, 0, 96, 0, 0, 288, 0, 0, -24, 0, 0, 352, 0, 0, 104, 0, 0, -176, 0, 0, 80, 0, 0, -384, 0, 0, 156, 0, 0, 8, 0, 0, -48], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46849365
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 40532396679896942, 'source_is_minimal': True, 'source_label': '8046.2.a.j.1.4', 'source_level': 8046, 'target_conrey_index': 1, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 40532396679896942, 'target_is_minimal': True, 'target_label': '8046.2.a.j.1.4', 'target_level': 8046, 'twist_class_label': '8046.2.a.j.1.4', 'twist_class_level': 8046, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46849366
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 40532396679896942, 'source_is_minimal': True, 'source_label': '8046.2.a.j.1.4', 'source_level': 8046, 'target_conrey_index': 1, 'target_dim': 12, 'target_embedding_index': 9, 'target_hecke_orbit_code': 63050394816749422, 'target_is_minimal': True, 'target_label': '8046.2.a.o.1.9', 'target_level': 8046, 'twist_class_label': '8046.2.a.j.1.4', 'twist_class_level': 8046, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4643525
{'charpoly_factorization': [[[1, 1], 12]], 'hecke_orbit_code': 40532396679896942, 'p': 2}
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id: 4643526
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 40532396679896942, 'p': 3}
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id: 4643527
{'charpoly_factorization': [[[423, -5508, -3639, 6927, 3921, -3265, -1643, 724, 320, -76, -29, 3, 1], 1]], 'hecke_orbit_code': 40532396679896942, 'p': 5}
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id: 4643528
{'charpoly_factorization': [[[3789, -16629, 20536, 2555, -19048, 7942, 3066, -2332, 22, 210, -25, -6, 1], 1]], 'hecke_orbit_code': 40532396679896942, 'p': 7}
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id: 4643529
{'charpoly_factorization': [[[639, -4500, 2745, 12831, -9084, -11799, 5783, 3849, -377, -358, -13, 10, 1], 1]], 'hecke_orbit_code': 40532396679896942, 'p': 11}
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id: 4643530
{'charpoly_factorization': [[[8883, 33291, -43683, -73556, 45217, 37700, -13888, -5919, 1635, 326, -73, -5, 1], 1]], 'hecke_orbit_code': 40532396679896942, 'p': 13}
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id: 4643531
{'charpoly_factorization': [[[49, -723, 2008, 3383, -10129, -9434, 3904, 4083, -31, -413, -41, 8, 1], 1]], 'hecke_orbit_code': 40532396679896942, 'p': 17}
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id: 4643532
{'charpoly_factorization': [[[-46435, 211428, -27509, -280943, 102512, 65093, -26083, -5623, 2351, 192, -85, -2, 1], 1]], 'hecke_orbit_code': 40532396679896942, 'p': 19}
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id: 4643533
{'charpoly_factorization': [[[-13061943, -18015123, 3230202, 6600675, -77980, -859867, -39957, 48209, 3907, -1120, -112, 9, 1], 1]], 'hecke_orbit_code': 40532396679896942, 'p': 23}
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id: 4643534
{'charpoly_factorization': [[[-56433, 56736, 268431, -184471, -211517, 59599, 57915, 1204, -4382, -594, 73, 19, 1], 1]], 'hecke_orbit_code': 40532396679896942, 'p': 29}
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id: 4643535
{'charpoly_factorization': [[[7017, -291288, -2655640, 327293, 2321206, 675610, -163281, -52718, 6223, 1329, -134, -10, 1], 1]], 'hecke_orbit_code': 40532396679896942, 'p': 31}
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id: 4643536
{'charpoly_factorization': [[[7275111, 871677, -7368021, -2516204, 1188159, 454409, -84570, -31292, 3435, 958, -85, -11, 1], 1]], 'hecke_orbit_code': 40532396679896942, 'p': 37}
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id: 4643537
{'charpoly_factorization': [[[13665672, 85275180, 101326356, 34299507, -3876927, -3737709, -240044, 125887, 13832, -1696, -212, 8, 1], 1]], 'hecke_orbit_code': 40532396679896942, 'p': 41}
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id: 4643538
{'charpoly_factorization': [[[-1231641, 48055740, 16666553, -26418583, -4484200, 3960993, 175472, -208355, 8601, 3034, -202, -13, 1], 1]], 'hecke_orbit_code': 40532396679896942, 'p': 43}
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id: 4643539
{'charpoly_factorization': [[[-54427221, 16940799, 55219680, 9690474, -9905595, -3439593, 123361, 154819, 7828, -2339, -184, 11, 1], 1]], 'hecke_orbit_code': 40532396679896942, 'p': 47}
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id: 4643540
{'charpoly_factorization': [[[51571617, -127979553, 64998689, 30035291, -19063587, -3478782, 1164950, 204408, -18383, -4313, -33, 24, 1], 1]], 'hecke_orbit_code': 40532396679896942, 'p': 53}
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id: 4643541
{'charpoly_factorization': [[[67964739, -72915405, -38195293, 36923973, 10196058, -3613123, -754909, 130695, 20530, -1938, -237, 10, 1], 1]], 'hecke_orbit_code': 40532396679896942, 'p': 59}
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id: 4643542
{'charpoly_factorization': [[[-607311, -7412526, -2688318, 3742930, 1460209, -530533, -218837, 25317, 11878, -300, -214, 0, 1], 1]], 'hecke_orbit_code': 40532396679896942, 'p': 61}
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id: 4643543
{'charpoly_factorization': [[[3133611, 9344520, 7209405, -1325392, -2697181, 38483, 362124, -29982, -16150, 2726, -5, -21, 1], 1]], 'hecke_orbit_code': 40532396679896942, 'p': 67}
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id: 4643544
{'charpoly_factorization': [[[4543751439, 1297774935, -1239284988, -496840870, 45274939, 45140220, 6246835, -165299, -101149, -6022, 259, 37, 1], 1]], 'hecke_orbit_code': 40532396679896942, 'p': 71}
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id: 4643545
{'charpoly_factorization': [[[-864833403, -1538154894, -414122301, 155743862, 56922848, -5299928, -2502406, 77223, 46959, -533, -374, 2, 1], 1]], 'hecke_orbit_code': 40532396679896942, 'p': 73}
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id: 4643546
{'charpoly_factorization': [[[-267344821, 48797840, 103561582, -28598683, -11007639, 4364346, 119541, -186189, 12168, 2404, -248, -7, 1], 1]], 'hecke_orbit_code': 40532396679896942, 'p': 79}
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id: 4643547
{'charpoly_factorization': [[[1324074105, 1344890043, -82586235, -468204945, -141537738, 5774275, 7918341, 940217, -25468, -9530, -277, 22, 1], 1]], 'hecke_orbit_code': 40532396679896942, 'p': 83}
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id: 4643548
{'charpoly_factorization': [[[236167035, -85271949, -486248637, -283105364, -29527715, 14815322, 3470156, -68382, -72579, -4003, 362, 40, 1], 1]], 'hecke_orbit_code': 40532396679896942, 'p': 89}
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id: 4643549
{'charpoly_factorization': [[[1975044843, -2656646028, -1149239973, 1025379135, 431214363, -7096055, -13913039, -259213, 148032, 2764, -647, -7, 1], 1]], 'hecke_orbit_code': 40532396679896942, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 10, 'label': '8046.2.a.j', 'level': 8046, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 53231569
{'hecke_orbit_code': 40532396679896942, 'n': 1, 'trace_an': 12}
-
id: 53231570
{'hecke_orbit_code': 40532396679896942, 'n': 2, 'trace_an': -12}
-
id: 53231571
{'hecke_orbit_code': 40532396679896942, 'n': 3, 'trace_an': 0}
-
id: 53231572
{'hecke_orbit_code': 40532396679896942, 'n': 4, 'trace_an': 12}
-
id: 53231573
{'hecke_orbit_code': 40532396679896942, 'n': 5, 'trace_an': -3}
-
id: 53231574
{'hecke_orbit_code': 40532396679896942, 'n': 6, 'trace_an': 0}
-
id: 53231575
{'hecke_orbit_code': 40532396679896942, 'n': 7, 'trace_an': 6}
-
id: 53231576
{'hecke_orbit_code': 40532396679896942, 'n': 8, 'trace_an': -12}
-
id: 53231577
{'hecke_orbit_code': 40532396679896942, 'n': 9, 'trace_an': 0}
-
id: 53231578
{'hecke_orbit_code': 40532396679896942, 'n': 10, 'trace_an': 3}
-
id: 53231579
{'hecke_orbit_code': 40532396679896942, 'n': 11, 'trace_an': -10}
-
id: 53231580
{'hecke_orbit_code': 40532396679896942, 'n': 12, 'trace_an': 0}
-
id: 53231581
{'hecke_orbit_code': 40532396679896942, 'n': 13, 'trace_an': 5}
-
id: 53231582
{'hecke_orbit_code': 40532396679896942, 'n': 14, 'trace_an': -6}
-
id: 53231583
{'hecke_orbit_code': 40532396679896942, 'n': 15, 'trace_an': 0}
-
id: 53231584
{'hecke_orbit_code': 40532396679896942, 'n': 16, 'trace_an': 12}
-
id: 53231585
{'hecke_orbit_code': 40532396679896942, 'n': 17, 'trace_an': -8}
-
id: 53231586
{'hecke_orbit_code': 40532396679896942, 'n': 18, 'trace_an': 0}
-
id: 53231587
{'hecke_orbit_code': 40532396679896942, 'n': 19, 'trace_an': 2}
-
id: 53231588
{'hecke_orbit_code': 40532396679896942, 'n': 20, 'trace_an': -3}
-
id: 53231589
{'hecke_orbit_code': 40532396679896942, 'n': 21, 'trace_an': 0}
-
id: 53231590
{'hecke_orbit_code': 40532396679896942, 'n': 22, 'trace_an': 10}
-
id: 53231591
{'hecke_orbit_code': 40532396679896942, 'n': 23, 'trace_an': -9}
-
id: 53231592
{'hecke_orbit_code': 40532396679896942, 'n': 24, 'trace_an': 0}
-
id: 53231593
{'hecke_orbit_code': 40532396679896942, 'n': 25, 'trace_an': 7}
-
id: 53231594
{'hecke_orbit_code': 40532396679896942, 'n': 26, 'trace_an': -5}
-
id: 53231595
{'hecke_orbit_code': 40532396679896942, 'n': 27, 'trace_an': 0}
-
id: 53231596
{'hecke_orbit_code': 40532396679896942, 'n': 28, 'trace_an': 6}
-
id: 53231597
{'hecke_orbit_code': 40532396679896942, 'n': 29, 'trace_an': -19}
-
id: 53231598
{'hecke_orbit_code': 40532396679896942, 'n': 30, 'trace_an': 0}
-
id: 53231599
{'hecke_orbit_code': 40532396679896942, 'n': 31, 'trace_an': 10}
-
id: 53231600
{'hecke_orbit_code': 40532396679896942, 'n': 32, 'trace_an': -12}
-
id: 53231601
{'hecke_orbit_code': 40532396679896942, 'n': 33, 'trace_an': 0}
-
id: 53231602
{'hecke_orbit_code': 40532396679896942, 'n': 34, 'trace_an': 8}
-
id: 53231603
{'hecke_orbit_code': 40532396679896942, 'n': 35, 'trace_an': -20}
-
id: 53231604
{'hecke_orbit_code': 40532396679896942, 'n': 36, 'trace_an': 0}
-
id: 53231605
{'hecke_orbit_code': 40532396679896942, 'n': 37, 'trace_an': 11}
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