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mf_newforms • Show schema
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{'Nk2': 3420, 'analytic_conductor': 6.827209372819473, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 15, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 14, 'char_orbit_label': 'n', 'char_order': 4, 'char_parity': 1, 'char_values': [855, 4, [191, 172, 496], [2, 1, 4]], 'cm_discs': [], 'conrey_index': 647, 'dim': 20, 'field_disc': 722198604726579836361228943360000, 'field_disc_factorization': [[2, 44], [5, 4], [7, 4], [2287, 4]], 'field_poly': [1, 0, 0, 0, 4405, 0, 0, 0, 18746, 0, 0, 0, 2922, 0, 0, 0, 101, 0, 0, 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': [[2, [1, 0, 0, 0, 4405, 0, 0, 0, 18746, 0, 0, 0, 2922, 0, 0, 0, 101, 0, 0, 0, 1]], [7, [648, -1512, 1764, -336, 8, -20, 112, -4, 0, 0, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511692268864343, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 20736, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 3420, 'analytic_conductor': 6.827209372819473, 'char_conductor': 15, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 14, 'char_orbit_label': 'n', 'char_order': 4, 'char_parity': 1, 'char_values': [855, 4, [191, 172, 496], [2, 1, 4]], 'conrey_index': 647, 'cusp_dim': 224, 'dim': 72, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 893386752855, 'hecke_orbit_dims': [4, 4, 8, 20, 36], 'label': '855.2.n', 'level': 855, '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, 19], 'level_radical': 285, 'mf_dim': 256, 'mf_new_dim': 72, 'num_forms': 5, 'prim_orbit_index': 5, 'relative_dim': 36, 'sturm_bound': 240, 'trace_bound': 7, 'trace_display': [0, 0, 0, 16], 'traces': [72, 0, 0, 0, 0, 0, 16, 0, 0, 16, 0, 0, 8, 0, 0, -72, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -16, 0, 0, -32, 0, 0, 0, 0, 0, 24, 0, 0, 24, 0, 0, 56, 0, 0, 32, 0, 0, 0, 0, 0, -72, 0, 0, 16, 0, 0, 72, 0, 0, 32, 0, 0, 0, 0, 0, 64, 0, 0, -128, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 64, 0, 0, -144, 0, 0, -32, 0, 0, 0, 0, 0, 56, 0, 0, -56, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, -112, 0, 0, 112, 0, 0, -168, 0, 0, 0, 0, 0, -96, 0, 0, 72, 0, 0, 8, 0, 0, 160, 0, 0, 0, 0, 0, -112, 0, 0, 184, 0, 0, 56, 0, 0, -128, 0, 0, 0, 0, 0, 88, 0, 0, -32, 0, 0, 96, 0, 0, 256, 0, 0, 0, 0, 0, 32, 0, 0, -32, 0, 0, 8, 0, 0, -32, 0, 0, 0, 0, 0, -32, 0, 0, -64, 0, 0, 8, 0, 0, -280, 0, 0, 0, 0, 0, 248, 0, 0, 8, 0, 0, -152, 0, 0, 64, 0, 0, 0, 0, 0, -144, 0, 0, 176, 0, 0, -96, 0, 0, -208, 0, 0, 0, 0, 0, -392, 0, 0, -96, 0, 0, -272, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, -40, 0, 0, 456, 0, 0, 0, 0, 0, 48, 0, 0, 32, 0, 0, 336, 0, 0, 160, 0, 0, 0, 0, 0, -184, 0, 0, 192, 0, 0, 136, 0, 0, -224, 0, 0, 0, 0, 0, 216, 0, 0, -96, 0, 0, 88, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, -72, 0, 0, -288, 0, 0, 0, 0, 0, 192, 0, 0, -200, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, -264, 0, 0, -16, 0, 0, 240, 0, 0, 208, 0, 0, 0, 0, 0, 608, 0, 0, 0, 0, 0, -176, 0, 0, -72, 0, 0, 0, 0, 0, 240, 0, 0, 72, 0, 0, -280, 0, 0, 224, 0, 0, 0, 0, 0, -48, 0, 0, -88, 0, 0, 104, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, -544, 0, 0, 0, 0, 0, -416, 0, 0, 0, 0, 0, 16, 0, 0, 152, 0, 0, 112, 0, 0, -16, 0, 0, 0, 0, 0, -136, 0, 0, 400, 0, 0, 88, 0, 0, -384, 0, 0, 0, 0, 0, -192, 0, 0, -104, 0, 0, -160, 0, 0, 64, 0, 0, 0, 0, 0, 16, 0, 0, -320, 0, 0, -8, 0, 0, -288, 0, 0, 0, 0, 0, -352, 0, 0, -8, 0, 0, -384, 0, 0, -208, 0, 0, 0, 0, 0, 48, 0, 0, 136, 0, 0, -432, 0, 0, 320, 0, 0, 0, 0, 0, -192, 0, 0, 8, 0, 0, -96, 0, 0, 128, 0, 0, 0, 0, 0, -232, 0, 0, 504, 0, 0, 80, 0, 0, 224, 0, 0, 0, 0, 0, -32, 0, 0, -64, 0, 0, 312, 0, 0, 32, 0, 0, 0, 0, 0, 240, 0, 0, 160, 0, 0, 400, 0, 0, 864, 0, 0, 0, 0, 0, -152, 0, 0, 96, 0, 0, -128, 0, 0, 64, 0, 0, 0, 0, 0, 488, 0, 0, 328, 0, 0, 160, 0, 0, -112, 0, 0, 0, 0, 0, -200, 0, 0, 200, 0, 0, 112, 0, 0, -320, 0, 0, 0, 0, 0, 144, 0, 0, -192, 0, 0, 328, 0, 0, -448, 0, 0, 0, 0, 0, -320, 0, 0, 16, 0, 0, 472, 0, 0, 384, 0, 0, 0, 0, 0, 600, 0, 0, -440, 0, 0, -456, 0, 0, 64, 0, 0, 0, 0, 0, 128, 0, 0, -144, 0, 0, -512, 0, 0, -64, 0, 0, 0, 0, 0, -288, 0, 0, -288, 0, 0, 136, 0, 0, 568, 0, 0, 0, 0, 0, 288, 0, 0, 176, 0, 0, 336, 0, 0, -320, 0, 0, 0, 0, 0, 16, 0, 0, -48, 0, 0, 32, 0, 0, 416, 0, 0, 0, 0, 0, -216, 0, 0, 528, 0, 0, -272, 0, 0, 160, 0, 0, 0, 0, 0, -264, 0, 0, -392, 0, 0, 40, 0, 0, -64, 0, 0, 0, 0, 0, -80, 0, 0, -216, 0, 0, 176, 0, 0, -608, 0, 0, 0, 0, 0, -216, 0, 0, -208, 0, 0, -224, 0, 0, -672, 0, 0, 0, 0, 0, 376, 0, 0, 64, 0, 0, -104, 0, 0, 64, 0, 0, 0, 0, 0, -64, 0, 0, 48, 0, 0, -96, 0, 0, -736, 0, 0, 0, 0, 0, -504, 0, 0, -88, 0, 0, 328, 0, 0, -320, 0, 0, 0, 0, 0, -96, 0, 0, 664, 0, 0, -112, 0, 0, 864, 0, 0, 0, 0, 0, 264, 0, 0, 448, 0, 0, -304, 0, 0, 40, 0, 0, 0, 0, 0, -280, 0, 0, 176, 0, 0, -152, 0, 0, -384, 0, 0, 0, 0, 0, 448, 0, 0, -32, 0, 0, -112, 0, 0, 160, 0, 0, 0, 0, 0, -136, 0, 0, -192, 0, 0, 240, 0, 0, -320, 0, 0, 0, 0, 0, 592, 0, 0, -256, 0, 0, 40, 0, 0, 480, 0, 0, 0, 0, 0, 176, 0, 0, -352, 0, 0, 24, 0, 0, 816, 0, 0, 0, 0, 0, 664, 0, 0, -376, 0, 0, -120, 0, 0, 64, 0, 0, 0, 0, 0, 176, 0, 0, -352, 0, 0, -464, 0, 0, -224, 0, 0, 0, 0, 0, -304, 0, 0, -480, 0, 0, 112, 0, 0, 648, 0, 0, 0, 0, 0, 0, 0, 0, -824, 0, 0, 392, 0, 0, -992, 0, 0, 0, 0, 0, -240, 0, 0, 232, 0, 0, 64, 0, 0, 384, 0, 0, 0, 0, 0, -360, 0, 0, 688], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 43522306
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 647, 'source_dim': 20, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511692268864343, 'source_is_minimal': True, 'source_label': '855.2.n.d.647.1', 'source_level': 855, 'target_conrey_index': 647, 'target_dim': 20, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511692268864343, 'target_is_minimal': True, 'target_label': '855.2.n.d.647.1', 'target_level': 855, 'twist_class_label': '855.2.n.d.647.1', 'twist_class_level': 855, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43522307
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 647, 'source_dim': 20, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511692268864343, 'source_is_minimal': True, 'source_label': '855.2.n.d.647.1', 'source_level': 855, 'target_conrey_index': 647, 'target_dim': 20, 'target_embedding_index': 10, 'target_hecke_orbit_code': 13511692268864343, 'target_is_minimal': True, 'target_label': '855.2.n.d.647.10', 'target_level': 855, 'twist_class_label': '855.2.n.d.647.1', 'twist_class_level': 855, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43522308
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 647, 'source_dim': 20, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511692268864343, 'source_is_minimal': True, 'source_label': '855.2.n.d.647.1', 'source_level': 855, 'target_conrey_index': 818, 'target_dim': 20, 'target_embedding_index': 10, 'target_hecke_orbit_code': 13511692268864343, 'target_is_minimal': True, 'target_label': '855.2.n.d.818.10', 'target_level': 855, 'twist_class_label': '855.2.n.d.647.1', 'twist_class_level': 855, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43522309
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 647, 'source_dim': 20, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511692268864343, 'source_is_minimal': True, 'source_label': '855.2.n.d.647.1', 'source_level': 855, 'target_conrey_index': 818, 'target_dim': 20, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511692268864343, 'target_is_minimal': True, 'target_label': '855.2.n.d.818.1', 'target_level': 855, 'twist_class_label': '855.2.n.d.647.1', 'twist_class_level': 855, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1415650
{'charpoly_factorization': [[[1, 0, 0, 0, 4405, 0, 0, 0, 18746, 0, 0, 0, 2922, 0, 0, 0, 101, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 13511692268864343, 'p': 2}
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id: 1415651
{'charpoly_factorization': [[[0, 1], 20]], 'hecke_orbit_code': 13511692268864343, 'p': 3}
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id: 1415652
{'charpoly_factorization': [[[9765625, 0, 6250000, 0, 2203125, 0, 660000, 0, 171850, 0, 37408, 0, 6874, 0, 1056, 0, 141, 0, 16, 0, 1], 1]], 'hecke_orbit_code': 13511692268864343, 'p': 5}
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id: 1415653
{'charpoly_factorization': [[[648, -1512, 1764, -336, 8, -20, 112, -4, 0, 0, 1], 2]], 'hecke_orbit_code': 13511692268864343, 'p': 7}
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id: 1415654
{'charpoly_factorization': [[[8, 0, 3636, 0, 2808, 0, 684, 0, 56, 0, 1], 2]], 'hecke_orbit_code': 13511692268864343, 'p': 11}
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id: 1415655
{'charpoly_factorization': [[[2048, 1920, 900, -1056, 512, 52, 96, -108, 50, -10, 1], 2]], 'hecke_orbit_code': 13511692268864343, 'p': 13}
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id: 1415656
{'charpoly_factorization': [[[4096, 0, 0, 0, 1687808, 0, 0, 0, 3668736, 0, 0, 0, 1041248, 0, 0, 0, 2800, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 13511692268864343, 'p': 17}
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id: 1415657
{'charpoly_factorization': [[[1, 0, 1], 10]], 'hecke_orbit_code': 13511692268864343, 'p': 19}
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id: 1415658
{'charpoly_factorization': [[[16796160000, 0, 0, 0, 1854316800, 0, 0, 0, 68628736, 0, 0, 0, 985696, 0, 0, 0, 4880, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 13511692268864343, 'p': 23}
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id: 1415659
{'charpoly_factorization': [[[-4792608, 0, 2068740, 0, -272432, 0, 11068, 0, -178, 0, 1], 2]], 'hecke_orbit_code': 13511692268864343, 'p': 29}
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id: 1415660
{'charpoly_factorization': [[[9008, 5268, -484, -152, 4, 1], 4]], 'hecke_orbit_code': 13511692268864343, 'p': 31}
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id: 1415661
{'charpoly_factorization': [[[34146848, -16808976, 4137156, -86280, 52664, -25612, 6336, -168, 2, -2, 1], 2]], 'hecke_orbit_code': 13511692268864343, 'p': 37}
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id: 1415662
{'charpoly_factorization': [[[1438208, 0, 1309348, 0, 234816, 0, 11868, 0, 210, 0, 1], 2]], 'hecke_orbit_code': 13511692268864343, 'p': 41}
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id: 1415663
{'charpoly_factorization': [[[753992, -4040120, 10824100, -5258760, 1346448, -187588, 14680, -552, 72, -12, 1], 2]], 'hecke_orbit_code': 13511692268864343, 'p': 43}
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id: 1415664
{'charpoly_factorization': [[[30187728080896, 0, 0, 0, 1606332043520, 0, 0, 0, 20252774656, 0, 0, 0, 61651552, 0, 0, 0, 26576, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 13511692268864343, 'p': 47}
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id: 1415665
{'charpoly_factorization': [[[396659648558534656, 0, 0, 0, 7321715896467712, 0, 0, 0, 3328374377472, 0, 0, 0, 546893408, 0, 0, 0, 38688, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 13511692268864343, 'p': 53}
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id: 1415666
{'charpoly_factorization': [[[-508932608, 0, 61599552, 0, -2502368, 0, 44512, 0, -352, 0, 1], 2]], 'hecke_orbit_code': 13511692268864343, 'p': 59}
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id: 1415667
{'charpoly_factorization': [[[-360, 60, 112, -16, -8, 1], 4]], 'hecke_orbit_code': 13511692268864343, 'p': 61}
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id: 1415668
{'charpoly_factorization': [[[50803200, -8467200, 705600, -6720, 132512, -22560, 1920, 8, 72, -12, 1], 2]], 'hecke_orbit_code': 13511692268864343, 'p': 67}
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id: 1415669
{'charpoly_factorization': [[[13436928, 0, 8299584, 0, 870368, 0, 28768, 0, 304, 0, 1], 2]], 'hecke_orbit_code': 13511692268864343, 'p': 71}
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id: 1415670
{'charpoly_factorization': [[[94558752, 99839520, 52707600, 8955744, 483632, -117536, 30424, 1288, 50, -10, 1], 2]], 'hecke_orbit_code': 13511692268864343, 'p': 73}
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id: 1415671
{'charpoly_factorization': [[[1327104, 0, 54579456, 0, 3471616, 0, 64736, 0, 448, 0, 1], 2]], 'hecke_orbit_code': 13511692268864343, 'p': 79}
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id: 1415672
{'charpoly_factorization': [[[1268572398616576, 0, 0, 0, 11611985766494464, 0, 0, 0, 4824100536320, 0, 0, 0, 717511008, 0, 0, 0, 44912, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 13511692268864343, 'p': 83}
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id: 1415673
{'charpoly_factorization': [[[-755827200, 0, 96184260, 0, -4088232, 0, 67068, 0, -450, 0, 1], 2]], 'hecke_orbit_code': 13511692268864343, 'p': 89}
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id: 1415674
{'charpoly_factorization': [[[127008, -359856, 509796, -225456, 46064, 4516, 2416, -844, 162, 18, 1], 2]], 'hecke_orbit_code': 13511692268864343, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 14, 'hecke_orbit': 4, 'label': '855.2.n.d', 'level': 855, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 37292329
{'hecke_orbit_code': 13511692268864343, 'n': 1, 'trace_an': 20}
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id: 37292330
{'hecke_orbit_code': 13511692268864343, 'n': 2, 'trace_an': 0}
-
id: 37292331
{'hecke_orbit_code': 13511692268864343, 'n': 3, 'trace_an': 0}
-
id: 37292332
{'hecke_orbit_code': 13511692268864343, 'n': 4, 'trace_an': 0}
-
id: 37292333
{'hecke_orbit_code': 13511692268864343, 'n': 5, 'trace_an': 0}
-
id: 37292334
{'hecke_orbit_code': 13511692268864343, 'n': 6, 'trace_an': 0}
-
id: 37292335
{'hecke_orbit_code': 13511692268864343, 'n': 7, 'trace_an': 0}
-
id: 37292336
{'hecke_orbit_code': 13511692268864343, 'n': 8, 'trace_an': 0}
-
id: 37292337
{'hecke_orbit_code': 13511692268864343, 'n': 9, 'trace_an': 0}
-
id: 37292338
{'hecke_orbit_code': 13511692268864343, 'n': 10, 'trace_an': 28}
-
id: 37292339
{'hecke_orbit_code': 13511692268864343, 'n': 11, 'trace_an': 0}
-
id: 37292340
{'hecke_orbit_code': 13511692268864343, 'n': 12, 'trace_an': 0}
-
id: 37292341
{'hecke_orbit_code': 13511692268864343, 'n': 13, 'trace_an': 20}
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id: 37292342
{'hecke_orbit_code': 13511692268864343, 'n': 14, 'trace_an': 0}
-
id: 37292343
{'hecke_orbit_code': 13511692268864343, 'n': 15, 'trace_an': 0}
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id: 37292344
{'hecke_orbit_code': 13511692268864343, 'n': 16, 'trace_an': -76}
-
id: 37292345
{'hecke_orbit_code': 13511692268864343, 'n': 17, 'trace_an': 0}
-
id: 37292346
{'hecke_orbit_code': 13511692268864343, 'n': 18, 'trace_an': 0}
-
id: 37292347
{'hecke_orbit_code': 13511692268864343, 'n': 19, 'trace_an': 0}
-
id: 37292348
{'hecke_orbit_code': 13511692268864343, 'n': 20, 'trace_an': 0}
-
id: 37292349
{'hecke_orbit_code': 13511692268864343, 'n': 21, 'trace_an': 0}
-
id: 37292350
{'hecke_orbit_code': 13511692268864343, 'n': 22, 'trace_an': 32}
-
id: 37292351
{'hecke_orbit_code': 13511692268864343, 'n': 23, 'trace_an': 0}
-
id: 37292352
{'hecke_orbit_code': 13511692268864343, 'n': 24, 'trace_an': 0}
-
id: 37292353
{'hecke_orbit_code': 13511692268864343, 'n': 25, 'trace_an': -32}
-
id: 37292354
{'hecke_orbit_code': 13511692268864343, 'n': 26, 'trace_an': 0}
-
id: 37292355
{'hecke_orbit_code': 13511692268864343, 'n': 27, 'trace_an': 0}
-
id: 37292356
{'hecke_orbit_code': 13511692268864343, 'n': 28, 'trace_an': -16}
-
id: 37292357
{'hecke_orbit_code': 13511692268864343, 'n': 29, 'trace_an': 0}
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