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mf_newforms • Show schema
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{'Nk2': 2340, 'analytic_conductor': 4.671248518244902, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [585, 3, [326, 352, 496], [2, 3, 3]], 'cm_discs': [], 'conrey_index': 196, 'conrey_indexes': [196, 391], 'dim': 16, 'field_disc': 77063377315524068042289, 'field_disc_factorization': [[3, 10], [3833, 2], [298043, 2]], 'field_poly': [268, 770, 1103, 1215, 1118, 859, 551, 326, 231, -19, 178, -107, 96, -44, 20, -5, 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, 19, 295, 1114, 3027, 4627, 5539, 3873, 2812, 1368, 875, 324, 158, 38, 17, 3, 1]], [7, [395641, -18870, 856340, -251056, 1614395, -359094, 544052, -191361, 140146, -44604, 20644, -6158, 2127, -476, 97, -11, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014948298850889, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 9, 'hecke_ring_index_factorization': [[3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '585.2.i.e', 'level': 585, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 13], 'level_radical': 195, 'minimal_twist': '585.2.i.e', 'prim_orbit_index': 3, 'qexp_display': 'q-\\beta _{6}q^{2}+(-\\beta _{7}+\\beta _{14})q^{3}+(-\\beta _{1}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '585.2.i', 'trace_display': [-3, 1, 8, 11], 'trace_hash': 1135239830556984076, 'trace_moments': 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mf_hecke_cc • Show schema
Hide schema
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mf_newspaces • Show schema
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{'Nk2': 2340, 'analytic_conductor': 4.671248518244902, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [585, 3, [326, 352, 496], [2, 3, 3]], 'conrey_index': 196, 'cusp_dim': 160, 'dim': 96, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 549789368905, 'hecke_orbit_dims': [2, 2, 2, 2, 16, 16, 26, 30], 'label': '585.2.i', 'level': 585, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 13], 'level_radical': 195, 'mf_dim': 176, 'mf_new_dim': 96, 'num_forms': 8, 'prim_orbit_index': 3, 'relative_dim': 48, 'sturm_bound': 168, 'trace_bound': 3, 'trace_display': [4, 4, 4, 0], 'traces': [96, 4, 4, -48, 4, -4, 0, -24, 16, 0, -4, -4, 0, -24, 0, -48, 24, 12, 24, 12, 28, -12, -12, -16, -48, 0, 4, 0, -12, 4, 0, 68, -68, 0, 0, -36, 0, -24, 0, 12, -8, 24, -12, 112, -24, 0, 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mf_twists_cc • Show schema
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id: 44412127
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 391, 'source_dim': 16, 'source_embedding_index': 7, 'source_hecke_orbit_code': 18014948298850889, 'source_is_minimal': True, 'source_label': '585.2.i.e.391.7', 'source_level': 585, 'target_conrey_index': 391, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 18014948298850889, 'target_is_minimal': True, 'target_label': '585.2.i.e.391.7', 'target_level': 585, 'twist_class_label': '585.2.i.e.196.7', 'twist_class_level': 585, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 44412128
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 391, 'source_dim': 16, 'source_embedding_index': 7, 'source_hecke_orbit_code': 18014948298850889, 'source_is_minimal': True, 'source_label': '585.2.i.e.391.7', 'source_level': 585, 'target_conrey_index': 1171, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518547926222555, 'target_is_minimal': False, 'target_label': '1755.2.i.f.1171.2', 'target_level': 1755, 'twist_class_label': '585.2.i.e.196.7', 'twist_class_level': 585, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44412129
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 391, 'source_dim': 16, 'source_embedding_index': 7, 'source_hecke_orbit_code': 18014948298850889, 'source_is_minimal': True, 'source_label': '585.2.i.e.391.7', 'source_level': 585, 'target_conrey_index': 586, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518547926222555, 'target_is_minimal': False, 'target_label': '1755.2.i.f.586.2', 'target_level': 1755, 'twist_class_label': '585.2.i.e.196.7', 'twist_class_level': 585, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44412130
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 391, 'source_dim': 16, 'source_embedding_index': 7, 'source_hecke_orbit_code': 18014948298850889, 'source_is_minimal': True, 'source_label': '585.2.i.e.391.7', 'source_level': 585, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 139611588482045073, 'target_is_minimal': False, 'target_label': '5265.2.a.bf.1.2', 'target_level': 5265, 'twist_class_label': '585.2.i.e.196.7', 'twist_class_level': 585, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 44412131
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 391, 'source_dim': 16, 'source_embedding_index': 7, 'source_hecke_orbit_code': 18014948298850889, 'source_is_minimal': True, 'source_label': '585.2.i.e.391.7', 'source_level': 585, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 117093590345192593, 'target_is_minimal': False, 'target_label': '5265.2.a.ba.1.7', 'target_level': 5265, 'twist_class_label': '585.2.i.e.196.7', 'twist_class_level': 585, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 44412132
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 391, 'source_dim': 16, 'source_embedding_index': 7, 'source_hecke_orbit_code': 18014948298850889, 'source_is_minimal': True, 'source_label': '585.2.i.e.391.7', 'source_level': 585, 'target_conrey_index': 196, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 18014948298850889, 'target_is_minimal': True, 'target_label': '585.2.i.e.196.7', 'target_level': 585, 'twist_class_label': '585.2.i.e.196.7', 'twist_class_level': 585, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1084475
{'charpoly_factorization': [[[1, 19, 295, 1114, 3027, 4627, 5539, 3873, 2812, 1368, 875, 324, 158, 38, 17, 3, 1], 1]], 'hecke_orbit_code': 18014948298850889, 'p': 2}
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id: 1084476
{'charpoly_factorization': [[[6561, -2187, 0, 1215, -648, 405, -81, -135, 153, -45, -9, 15, -8, 5, 0, -1, 1], 1]], 'hecke_orbit_code': 18014948298850889, 'p': 3}
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id: 1084477
{'charpoly_factorization': [[[1, -1, 1], 8]], 'hecke_orbit_code': 18014948298850889, 'p': 5}
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id: 1084478
{'charpoly_factorization': [[[395641, -18870, 856340, -251056, 1614395, -359094, 544052, -191361, 140146, -44604, 20644, -6158, 2127, -476, 97, -11, 1], 1]], 'hecke_orbit_code': 18014948298850889, 'p': 7}
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id: 1084479
{'charpoly_factorization': [[[401956, -7607366, 144611269, 7940038, 39378942, 6526234, 7734292, 1288626, 792871, 123459, 56870, 7764, 2531, 272, 74, 6, 1], 1]], 'hecke_orbit_code': 18014948298850889, 'p': 11}
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id: 1084480
{'charpoly_factorization': [[[1, -1, 1], 8]], 'hecke_orbit_code': 18014948298850889, 'p': 13}
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id: 1084481
{'charpoly_factorization': [[[892, 1275, -5408, 748, 1532, -73, -78, 2, 1], 2]], 'hecke_orbit_code': 18014948298850889, 'p': 17}
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id: 1084482
{'charpoly_factorization': [[[-1584, -12735, 3552, 4746, -413, -541, -37, 10, 1], 2]], 'hecke_orbit_code': 18014948298850889, 'p': 19}
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id: 1084483
{'charpoly_factorization': [[[144360225, 597554010, 1941770961, 1887936012, 1313009082, 587467485, 211331268, 55708785, 13261735, 2511180, 487609, 70845, 10650, 930, 115, 6, 1], 1]], 'hecke_orbit_code': 18014948298850889, 'p': 23}
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id: 1084484
{'charpoly_factorization': [[[1243225, -7254190, 30973991, -55499768, 72427298, -49775321, 26908734, -8229927, 2295865, -222180, 93171, 199, 5900, 922, 191, 14, 1], 1]], 'hecke_orbit_code': 18014948298850889, 'p': 29}
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id: 1084485
{'charpoly_factorization': [[[2547422784, 37540417464, 587937427425, -534856998123, 303695449497, -109219863132, 29604069633, -6073006854, 1010969710, -136136800, 15745783, -1550944, 138475, -10450, 685, -31, 1], 1]], 'hecke_orbit_code': 18014948298850889, 'p': 31}
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id: 1084486
{'charpoly_factorization': [[[-33660, -47061, -10002, 7773, 2722, -211, -120, -1, 1], 2]], 'hecke_orbit_code': 18014948298850889, 'p': 37}
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id: 1084487
{'charpoly_factorization': [[[371525625, 3772676475, 41639867541, -35355151656, 21996268305, -7559441862, 2158964724, -417073164, 78999628, -11135433, 1807906, -196602, 25611, -1896, 226, -12, 1], 1]], 'hecke_orbit_code': 18014948298850889, 'p': 41}
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id: 1084488
{'charpoly_factorization': [[[62415940941376, 23481805661864, 11927486290657, 1951758905744, 767331823674, 123323953388, 30698577001, 3560936037, 622298584, 57518151, 8484905, 620805, 71942, 3841, 392, 15, 1], 1]], 'hecke_orbit_code': 18014948298850889, 'p': 43}
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id: 1084489
{'charpoly_factorization': [[[424482219529, -1279662839530, 3248273932210, -1680643045456, 645954819852, -152813912530, 30711240460, -4512065298, 650712493, -73943418, 8953964, -783498, 75620, -4832, 410, -18, 1], 1]], 'hecke_orbit_code': 18014948298850889, 'p': 47}
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id: 1084490
{'charpoly_factorization': [[[111438, -1441287, -527853, 40404, 24010, 34, -282, -2, 1], 2]], 'hecke_orbit_code': 18014948298850889, 'p': 53}
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id: 1084491
{'charpoly_factorization': [[[3524698346724, 3147714689742, 2038429931949, 792853210602, 260063674326, 63722633094, 15226016148, 2976805512, 550097847, 77940117, 9912708, 958500, 90951, 6732, 516, 24, 1], 1]], 'hecke_orbit_code': 18014948298850889, 'p': 59}
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id: 1084492
{'charpoly_factorization': [[[106354483234561, 72104199877038, 60778402377829, -1176151107174, 3239300036677, -158759663706, 128696126584, -9023364243, 2219192077, -99722991, 20750026, -811188, 129298, -3108, 457, -9, 1], 1]], 'hecke_orbit_code': 18014948298850889, 'p': 61}
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id: 1084493
{'charpoly_factorization': [[[974523752673769, -640510517953695, 417224699042386, -47825089843203, 15845363589646, -1340432509050, 413771541892, -26434479180, 5056878430, -279036495, 42945253, -2006577, 212176, -7338, 670, -18, 1], 1]], 'hecke_orbit_code': 18014948298850889, 'p': 67}
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id: 1084494
{'charpoly_factorization': [[[-127950, 436287, -45522, -71802, 8011, 1915, -211, -10, 1], 2]], 'hecke_orbit_code': 18014948298850889, 'p': 71}
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id: 1084495
{'charpoly_factorization': [[[1196532, 541647, -546264, -22572, 24390, 747, -300, -6, 1], 2]], 'hecke_orbit_code': 18014948298850889, 'p': 73}
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id: 1084496
{'charpoly_factorization': [[[17219921365191204, 58768849774602, 770768004795957, 16509823136514, 23351454457443, 476048343240, 373725005112, 4277853648, 4247252091, 25818183, 31293864, -33129, 165771, -396, 507, -3, 1], 1]], 'hecke_orbit_code': 18014948298850889, 'p': 79}
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id: 1084497
{'charpoly_factorization': [[[469225, 915845, 3493904, 3751063, 13211249, 13993630, 24758769, 5983284, 5334472, -1313994, 1113264, -133184, 24254, -1028, 215, -10, 1], 1]], 'hecke_orbit_code': 18014948298850889, 'p': 83}
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id: 1084498
{'charpoly_factorization': [[[1032219, -887229, -283113, 86394, 15982, -2243, -228, 13, 1], 2]], 'hecke_orbit_code': 18014948298850889, 'p': 89}
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id: 1084499
{'charpoly_factorization': [[[122483314259524, -27999585649626, 18066194226929, -1185041673992, 1243109191223, -88195342548, 45607413938, -3068221395, 1161895990, -91851144, 17734885, -1399039, 194409, -13762, 994, -34, 1], 1]], 'hecke_orbit_code': 18014948298850889, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 5, 'label': '585.2.i.e', 'level': 585, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 159692000
{'hecke_orbit_code': 18014948298850889, 'n': 1, 'trace_an': 16}
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id: 159692001
{'hecke_orbit_code': 18014948298850889, 'n': 2, 'trace_an': -3}
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id: 159692002
{'hecke_orbit_code': 18014948298850889, 'n': 3, 'trace_an': 1}
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id: 159692003
{'hecke_orbit_code': 18014948298850889, 'n': 4, 'trace_an': -9}
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id: 159692004
{'hecke_orbit_code': 18014948298850889, 'n': 5, 'trace_an': 8}
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id: 159692005
{'hecke_orbit_code': 18014948298850889, 'n': 6, 'trace_an': 8}
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id: 159692006
{'hecke_orbit_code': 18014948298850889, 'n': 7, 'trace_an': 11}
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id: 159692007
{'hecke_orbit_code': 18014948298850889, 'n': 8, 'trace_an': -12}
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id: 159692008
{'hecke_orbit_code': 18014948298850889, 'n': 9, 'trace_an': 1}
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id: 159692009
{'hecke_orbit_code': 18014948298850889, 'n': 10, 'trace_an': -6}
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id: 159692010
{'hecke_orbit_code': 18014948298850889, 'n': 11, 'trace_an': -6}
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id: 159692011
{'hecke_orbit_code': 18014948298850889, 'n': 12, 'trace_an': 2}
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id: 159692012
{'hecke_orbit_code': 18014948298850889, 'n': 13, 'trace_an': 8}
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id: 159692013
{'hecke_orbit_code': 18014948298850889, 'n': 14, 'trace_an': -10}
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id: 159692014
{'hecke_orbit_code': 18014948298850889, 'n': 15, 'trace_an': 5}
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id: 159692015
{'hecke_orbit_code': 18014948298850889, 'n': 16, 'trace_an': -11}
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id: 159692016
{'hecke_orbit_code': 18014948298850889, 'n': 17, 'trace_an': -4}
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id: 159692017
{'hecke_orbit_code': 18014948298850889, 'n': 18, 'trace_an': 5}
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id: 159692018
{'hecke_orbit_code': 18014948298850889, 'n': 19, 'trace_an': -20}
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id: 159692019
{'hecke_orbit_code': 18014948298850889, 'n': 20, 'trace_an': 9}
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id: 159692020
{'hecke_orbit_code': 18014948298850889, 'n': 21, 'trace_an': 11}
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id: 159692021
{'hecke_orbit_code': 18014948298850889, 'n': 22, 'trace_an': -3}
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id: 159692022
{'hecke_orbit_code': 18014948298850889, 'n': 23, 'trace_an': -6}
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id: 159692023
{'hecke_orbit_code': 18014948298850889, 'n': 24, 'trace_an': -57}
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id: 159692024
{'hecke_orbit_code': 18014948298850889, 'n': 25, 'trace_an': -8}
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id: 159692025
{'hecke_orbit_code': 18014948298850889, 'n': 26, 'trace_an': -6}
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id: 159692026
{'hecke_orbit_code': 18014948298850889, 'n': 27, 'trace_an': -14}
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id: 159692027
{'hecke_orbit_code': 18014948298850889, 'n': 28, 'trace_an': -68}
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id: 159692028
{'hecke_orbit_code': 18014948298850889, 'n': 29, 'trace_an': -14}
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id: 159692029
{'hecke_orbit_code': 18014948298850889, 'n': 30, 'trace_an': 7}
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id: 159692030
{'hecke_orbit_code': 18014948298850889, 'n': 31, 'trace_an': 31}
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id: 159692031
{'hecke_orbit_code': 18014948298850889, 'n': 32, 'trace_an': -1}
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id: 159692032
{'hecke_orbit_code': 18014948298850889, 'n': 33, 'trace_an': -31}
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id: 159692033
{'hecke_orbit_code': 18014948298850889, 'n': 34, 'trace_an': 7}
-
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id: 159692989
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id: 159692990
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id: 159692991
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id: 159692992
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id: 159692993
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id: 159692994
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id: 159692995
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id: 159692996
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id: 159692997
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id: 159692998
{'hecke_orbit_code': 18014948298850889, 'n': 999, 'trace_an': 4}
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id: 159692999
{'hecke_orbit_code': 18014948298850889, 'n': 1000, 'trace_an': 12}