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mf_newforms • Show schema
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{'Nk2': 8280, 'analytic_conductor': 16.52903321840504, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 69, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 2, 'char_parity': 1, 'char_values': [2070, 2, [461, 1657, 1891], [1, 2, 1]], 'cm_discs': [], 'conrey_index': 1241, 'dim': 16, 'field_disc': 26046250082306838470066176, 'field_disc_factorization': [[2, 34], [7, 8], [16217, 2]], 'field_poly': [1, 0, 1108, 0, 5740, 0, 9856, 0, 6930, 0, 2324, 0, 392, 0, 32, 0, 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, [-1792, 896, 2568, 192, -732, -200, 22, 12, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503874538833942, 'hecke_ring_generator_nbound': 23, 'hecke_ring_index': 2048, 'hecke_ring_index_factorization': [[2, 11]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 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mf_hecke_cc • Show schema
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'embedding_root_imag': -1.90023356851947, 'embedding_root_real': 0.0, 'hecke_orbit': 2, 'hecke_orbit_code': 4503874538833942, 'label': '2070.2.e.b.1241.15', 'level': 2070, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 8280, 'analytic_conductor': 16.52903321840504, 'char_conductor': 69, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 2, 'char_parity': 1, 'char_values': [2070, 2, [461, 1657, 1891], [1, 2, 1]], 'conrey_index': 1241, 'cusp_dim': 416, 'dim': 32, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [11], 'hecke_orbit_code': 274911463446, 'hecke_orbit_dims': [16, 16], 'label': '2070.2.e', 'level': 2070, '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, 5, 23], 'level_radical': 690, 'mf_dim': 448, 'mf_new_dim': 32, 'num_forms': 2, 'prim_orbit_index': 3, 'relative_dim': 32, 'sturm_bound': 864, 'trace_bound': 5, 'trace_display': [0, 0, 0, 0], 'traces': [32, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, -32, 0, 0, 0, 0, 0, -48, 0, 0, 32, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, -32, 0, 0, 48, 0, 0, 16, 0, 0, 32, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, -64, 0, 0, -16, 0, 0, -96, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 32, 0, 0, -32, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, -64, 0, 0, 48, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, -192, 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, 0, 0, 112, 0, 0, -80, 0, 0, 0, 0, 0, 32, 0, 0, -352, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, -112, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 192, 0, 0, 224, 0, 0, 80, 0, 0, 32, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, -48, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, -96, 0, 0, -96, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, -544, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 16, 0, 0, 48, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -32, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, -448, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, -16, 0, 0, -128, 0, 0, 48, 0, 0, -400, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 448, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 352, 0, 0, 96, 0, 0, -64, 0, 0, 64, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 16, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, -32, 0, 0, 112, 0, 0, 352, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -496, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 128, 0, 0, -48, 0, 0, 32, 0, 0, 160, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, -64, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 768, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, -224, 0, 0, 256, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 96, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 416, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 35102644
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1241, 'source_dim': 16, 'source_embedding_index': 15, 'source_hecke_orbit_code': 4503874538833942, 'source_is_minimal': True, 'source_label': '2070.2.e.b.1241.15', 'source_level': 2070, 'target_conrey_index': 1241, 'target_dim': 16, 'target_embedding_index': 15, 'target_hecke_orbit_code': 4503874538833942, 'target_is_minimal': True, 'target_label': '2070.2.e.b.1241.15', 'target_level': 2070, 'twist_class_label': '2070.2.e.a.1241.7', 'twist_class_level': 2070, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 35102645
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1241, 'source_dim': 16, 'source_embedding_index': 15, 'source_hecke_orbit_code': 4503874538833942, 'source_is_minimal': True, 'source_label': '2070.2.e.b.1241.15', 'source_level': 2070, 'target_conrey_index': 1241, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 274911463446, 'target_is_minimal': True, 'target_label': '2070.2.e.a.1241.7', 'target_level': 2070, 'twist_class_label': '2070.2.e.a.1241.7', 'twist_class_level': 2070, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35102646
{'conductor': 23, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1241, 'source_dim': 16, 'source_embedding_index': 15, 'source_hecke_orbit_code': 4503874538833942, 'source_is_minimal': True, 'source_label': '2070.2.e.b.1241.15', 'source_level': 2070, 'target_conrey_index': 1241, 'target_dim': 16, 'target_embedding_index': 10, 'target_hecke_orbit_code': 274911463446, 'target_is_minimal': True, 'target_label': '2070.2.e.a.1241.10', 'target_level': 2070, 'twist_class_label': '2070.2.e.a.1241.7', 'twist_class_level': 2070, 'twisting_char_label': '23.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 35102647
{'conductor': 69, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1241, 'source_dim': 16, 'source_embedding_index': 15, 'source_hecke_orbit_code': 4503874538833942, 'source_is_minimal': True, 'source_label': '2070.2.e.b.1241.15', 'source_level': 2070, 'target_conrey_index': 1241, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503874538833942, 'target_is_minimal': True, 'target_label': '2070.2.e.b.1241.2', 'target_level': 2070, 'twist_class_label': '2070.2.e.a.1241.7', 'twist_class_level': 2070, 'twisting_char_label': '69.68', 'twisting_conrey_index': 68, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2404700
{'charpoly_factorization': [[[1, 0, 1], 8]], 'hecke_orbit_code': 4503874538833942, 'p': 2}
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id: 2404701
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 4503874538833942, 'p': 3}
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id: 2404702
{'charpoly_factorization': [[[-1, 1], 16]], 'hecke_orbit_code': 4503874538833942, 'p': 5}
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id: 2404703
{'charpoly_factorization': [[[256, 0, 141824, 0, 367360, 0, 315392, 0, 110880, 0, 18592, 0, 1568, 0, 64, 0, 1], 1]], 'hecke_orbit_code': 4503874538833942, 'p': 7}
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id: 2404704
{'charpoly_factorization': [[[-1792, 896, 2568, 192, -732, -200, 22, 12, 1], 2]], 'hecke_orbit_code': 4503874538833942, 'p': 11}
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id: 2404705
{'charpoly_factorization': [[[-1568, 3808, -1960, -736, 596, 24, -46, 0, 1], 2]], 'hecke_orbit_code': 4503874538833942, 'p': 13}
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id: 2404706
{'charpoly_factorization': [[[-128, 512, -560, -32, 264, -24, -40, 0, 1], 2]], 'hecke_orbit_code': 4503874538833942, 'p': 17}
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id: 2404707
{'charpoly_factorization': [[[4228120576, 0, 4196532224, 0, 1394917376, 0, 207900672, 0, 16038912, 0, 683520, 0, 16208, 0, 200, 0, 1], 1]], 'hecke_orbit_code': 4503874538833942, 'p': 19}
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id: 2404708
{'charpoly_factorization': [[[78310985281, 13619301788, 592143556, -1210032484, -57087564, 47743308, 12558460, -1490676, -800042, -64812, 23740, 3924, -204, -188, 4, 4, 1], 1]], 'hecke_orbit_code': 4503874538833942, 'p': 23}
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id: 2404709
{'charpoly_factorization': [[[45474709504, 0, 70819610624, 0, 23879159808, 0, 2852244480, 0, 144723200, 0, 3712640, 0, 50884, 0, 356, 0, 1], 1]], 'hecke_orbit_code': 4503874538833942, 'p': 29}
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id: 2404710
{'charpoly_factorization': [[[28672, -57344, -69632, -256, 7808, -320, -164, 4, 1], 2]], 'hecke_orbit_code': 4503874538833942, 'p': 31}
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id: 2404711
{'charpoly_factorization': [[[286015744, 0, 748228096, 0, 482452224, 0, 119360512, 0, 13800224, 0, 793824, 0, 22048, 0, 256, 0, 1], 1]], 'hecke_orbit_code': 4503874538833942, 'p': 37}
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id: 2404712
{'charpoly_factorization': [[[4787974164736, 0, 1478575479808, 0, 178338974464, 0, 10832893184, 0, 362380128, 0, 6943296, 0, 75568, 0, 432, 0, 1], 1]], 'hecke_orbit_code': 4503874538833942, 'p': 41}
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id: 2404713
{'charpoly_factorization': [[[1584676864, 0, 3049742336, 0, 1870695424, 0, 423090176, 0, 40720576, 0, 1832544, 0, 38100, 0, 332, 0, 1], 1]], 'hecke_orbit_code': 4503874538833942, 'p': 43}
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id: 2404714
{'charpoly_factorization': [[[1670008274944, 0, 1480938487808, 0, 272511336448, 0, 19733118976, 0, 662347776, 0, 11616768, 0, 109888, 0, 528, 0, 1], 1]], 'hecke_orbit_code': 4503874538833942, 'p': 47}
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id: 2404715
{'charpoly_factorization': [[[1035776, 506880, -172032, -56192, 12608, 928, -212, -4, 1], 2]], 'hecke_orbit_code': 4503874538833942, 'p': 53}
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id: 2404716
{'charpoly_factorization': [[[716888201453824, 0, 100420940923904, 0, 5672447082240, 0, 171717284608, 0, 3068022368, 0, 33164224, 0, 211184, 0, 720, 0, 1], 1]], 'hecke_orbit_code': 4503874538833942, 'p': 59}
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id: 2404717
{'charpoly_factorization': [[[8469889024, 0, 57760927744, 0, 22865342720, 0, 3199461632, 0, 195888704, 0, 5396832, 0, 70544, 0, 432, 0, 1], 1]], 'hecke_orbit_code': 4503874538833942, 'p': 61}
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id: 2404718
{'charpoly_factorization': [[[203119673344, 0, 393872482304, 0, 161010695168, 0, 20199697408, 0, 867497664, 0, 16722272, 0, 154836, 0, 652, 0, 1], 1]], 'hecke_orbit_code': 4503874538833942, 'p': 67}
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id: 2404719
{'charpoly_factorization': [[[20025696600064, 0, 5078458392576, 0, 520563108864, 0, 27630433280, 0, 811846592, 0, 13279520, 0, 119316, 0, 548, 0, 1], 1]], 'hecke_orbit_code': 4503874538833942, 'p': 71}
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id: 2404720
{'charpoly_factorization': [[[4600064, 3171328, -456448, -209152, 15872, 3424, -216, -16, 1], 2]], 'hecke_orbit_code': 4503874538833942, 'p': 73}
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id: 2404721
{'charpoly_factorization': [[[825757696, 0, 4854224896, 0, 8932091136, 0, 5165745408, 0, 630856896, 0, 15278688, 0, 148816, 0, 640, 0, 1], 1]], 'hecke_orbit_code': 4503874538833942, 'p': 79}
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id: 2404722
{'charpoly_factorization': [[[-17706752, -138880, 1638640, 161600, -28936, -4312, 52, 28, 1], 2]], 'hecke_orbit_code': 4503874538833942, 'p': 83}
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id: 2404723
{'charpoly_factorization': [[[-180512, -187104, 194120, -16736, -12948, 2464, -18, -20, 1], 2]], 'hecke_orbit_code': 4503874538833942, 'p': 89}
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id: 2404724
{'charpoly_factorization': [[[71572141441024, 0, 24874970251264, 0, 2344165294080, 0, 98866465792, 0, 2195713536, 0, 27236992, 0, 189060, 0, 684, 0, 1], 1]], 'hecke_orbit_code': 4503874538833942, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 5, 'hecke_orbit': 2, 'label': '2070.2.e.b', 'level': 2070, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 22112383
{'hecke_orbit_code': 4503874538833942, 'n': 1, 'trace_an': 16}
-
id: 22112384
{'hecke_orbit_code': 4503874538833942, 'n': 2, 'trace_an': 0}
-
id: 22112385
{'hecke_orbit_code': 4503874538833942, 'n': 3, 'trace_an': 0}
-
id: 22112386
{'hecke_orbit_code': 4503874538833942, 'n': 4, 'trace_an': -16}
-
id: 22112387
{'hecke_orbit_code': 4503874538833942, 'n': 5, 'trace_an': 16}
-
id: 22112388
{'hecke_orbit_code': 4503874538833942, 'n': 6, 'trace_an': 0}
-
id: 22112389
{'hecke_orbit_code': 4503874538833942, 'n': 7, 'trace_an': 0}
-
id: 22112390
{'hecke_orbit_code': 4503874538833942, 'n': 8, 'trace_an': 0}
-
id: 22112391
{'hecke_orbit_code': 4503874538833942, 'n': 9, 'trace_an': 0}
-
id: 22112392
{'hecke_orbit_code': 4503874538833942, 'n': 10, 'trace_an': 0}
-
id: 22112393
{'hecke_orbit_code': 4503874538833942, 'n': 11, 'trace_an': -24}
-
id: 22112394
{'hecke_orbit_code': 4503874538833942, 'n': 12, 'trace_an': 0}
-
id: 22112395
{'hecke_orbit_code': 4503874538833942, 'n': 13, 'trace_an': 0}
-
id: 22112396
{'hecke_orbit_code': 4503874538833942, 'n': 14, 'trace_an': 0}
-
id: 22112397
{'hecke_orbit_code': 4503874538833942, 'n': 15, 'trace_an': 0}
-
id: 22112398
{'hecke_orbit_code': 4503874538833942, 'n': 16, 'trace_an': 16}
-
id: 22112399
{'hecke_orbit_code': 4503874538833942, 'n': 17, 'trace_an': 0}
-
id: 22112400
{'hecke_orbit_code': 4503874538833942, 'n': 18, 'trace_an': 0}
-
id: 22112401
{'hecke_orbit_code': 4503874538833942, 'n': 19, 'trace_an': 0}
-
id: 22112402
{'hecke_orbit_code': 4503874538833942, 'n': 20, 'trace_an': -16}
-
id: 22112403
{'hecke_orbit_code': 4503874538833942, 'n': 21, 'trace_an': 0}
-
id: 22112404
{'hecke_orbit_code': 4503874538833942, 'n': 22, 'trace_an': 0}
-
id: 22112405
{'hecke_orbit_code': 4503874538833942, 'n': 23, 'trace_an': -4}
-
id: 22112406
{'hecke_orbit_code': 4503874538833942, 'n': 24, 'trace_an': 0}
-
id: 22112407
{'hecke_orbit_code': 4503874538833942, 'n': 25, 'trace_an': 16}
-
id: 22112408
{'hecke_orbit_code': 4503874538833942, 'n': 26, 'trace_an': 0}
-
id: 22112409
{'hecke_orbit_code': 4503874538833942, 'n': 27, 'trace_an': 0}
-
id: 22112410
{'hecke_orbit_code': 4503874538833942, 'n': 28, 'trace_an': 0}
-
id: 22112411
{'hecke_orbit_code': 4503874538833942, 'n': 29, 'trace_an': 0}
-
id: 22112412
{'hecke_orbit_code': 4503874538833942, 'n': 30, 'trace_an': 0}
-
id: 22112413
{'hecke_orbit_code': 4503874538833942, 'n': 31, 'trace_an': -8}
-
id: 22112414
{'hecke_orbit_code': 4503874538833942, 'n': 32, 'trace_an': 0}
-
id: 22112415
{'hecke_orbit_code': 4503874538833942, 'n': 33, 'trace_an': 0}
-
id: 22112416
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