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mf_newforms • Show schema
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{'Nk2': 3726, 'analytic_conductor': 11.280682944516291, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 69, 'char_degree': 10, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 22, 'char_parity': -1, 'char_values': [414, 22, [47, 235], [11, 20]], 'cm_discs': [], 'conrey_index': 35, 'conrey_indexes': [35, 71, 179, 197, 215, 233, 269, 305, 377, 395], 'dim': 80, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [2683516151970716671335526530625769701085344801, 0, 370154056787502597818810419391471943817472744, 0, 4440264013496199908068607353839067221635075211, 0, -3757566582242904383831308929760741779577707914, 0, 4445914946092341601433002151446850389742457441, 0, -1277257574394772476650509816321889055447391896, 0, 1544310474647353884121799373356614666484426044, 0, -680251626440101576109493325246556485595438140, 0, 138186865611742536668527496490687074201139210, 0, -50035192438726353859673679074508816039186136, 0, 6996886142539073370167468475806265720799986, 0, -4595637298764053239818264162030704063728054, 0, 5124995395807339278129653765489002431518098, 0, -1184118575842187462929446368636968626725752, 0, 187654894406850021576530652683198634751904, 0, -20482609023637380935644004547537753420964, 0, 1503969700251754634036251353836246222657, 0, -72403935662635683277711901942560414552, 0, 2323647435355886501234708504258357636, 0, -78060694922288984167499908129223934, 0, 5544984491124221694107341137445862, 0, -410188938841442643653037022858638, 0, 21690268224157714141746441509500, 0, -826275947363825212399449702786, 0, 23497421276658858362949238691, 0, -515051776877794640001662460, 0, 9532423125336954645201580, 0, -192445231601011050605762, 0, 4960073664670642394621, 0, -128830066935753340726, 0, 2822600916616203464, 0, -49485118638721278, 0, 767640695998837, 0, -11782301627970, 0, 171739502288, 0, -1226956596, 0, -6443281, 0, -308566, 0, 7354, 0, 76, 0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 687245099422, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 23, 3, 1, 11, 0], [1, 1, 69, 8, -1, 22, 0]], 'is_cm': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '414.3.k.a', 'level': 414, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 23], 'level_radical': 138, 'minimal_twist': '414.3.k.a', 'prim_orbit_index': 8, 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '2.2.3.c22', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '414.3.k', 'trace_display': [0, 0, 0, -16], 'traces': [80, 0, 0, 16, 0, 0, -16, 0, 0, 8, 0, 0, 8, 0, 0, -32, 0, 0, -128, 0, 0, -32, 0, 0, -352, 0, 0, 32, 0, 0, 32, 0, 0, -300, 0, 0, -384, 0, 0, -16, 0, 0, 540, 0, 0, 0, 0, 0, -80, 0, 0, -16, 0, 0, 1244, 0, 0, 424, 0, 0, 568, 0, 0, 64, 0, 0, 60, 0, 0, 296, 0, 0, 36, 0, 0, -96, 0, 0, -1476, 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label 414.3.k.a does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'Nk2': 3726, 'analytic_conductor': 11.280682944516291, 'char_conductor': 69, 'char_degree': 10, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 22, 'char_parity': -1, 'char_values': [414, 22, [47, 235], [11, 20]], 'conrey_index': 35, 'cusp_dim': 1360, 'dim': 160, 'eis_dim': 160, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 687245099422, 'hecke_orbit_dims': [80, 80], 'label': '414.3.k', 'level': 414, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 23], 'level_radical': 138, 'mf_dim': 1520, 'mf_new_dim': 160, 'num_forms': 2, 'prim_orbit_index': 8, 'relative_dim': 16, 'sturm_bound': 216, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [160, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, -64, 0, 0, 80, 0, 0, 32, 0, 0, -96, 0, 0, 0, 0, 0, 32, 0, 0, -32, 0, 0, -640, 0, 0, 0, 0, 0, 16, 0, 0, -48, 0, 0, 64, 0, 0, 32, 0, 0, 1640, 0, 0, 880, 0, 0, 944, 0, 0, 128, 0, 0, 104, 0, 0, -224, 0, 0, -152, 0, 0, -160, 0, 0, -1312, 0, 0, -912, 0, 0, -1800, 0, 0, -64, 0, 0, -240, 0, 0, -480, 0, 0, -432, 0, 0, -1040, 0, 0, -1824, 0, 0, -672, 0, 0, -1592, 0, 0, 0, 0, 0, 232, 0, 0, 928, 0, 0, 3296, 0, 0, -64, 0, 0, 3672, 0, 0, 2976, 0, 0, 2968, 0, 0, 64, 0, 0, -608, 0, 0, -96, 0, 0, -1424, 0, 0, -128, 0, 0, -1296, 0, 0, -960, 0, 0, -1216, 0, 0, 0, 0, 0, -1056, 0, 0, 384, 0, 0, -672, 0, 0, -384, 0, 0, -240, 0, 0, -192, 0, 0, 1648, 0, 0, 96, 0, 0, 1448, 0, 0, 416, 0, 0, 664, 0, 0, 752, 0, 0, -320, 0, 0, 864, 0, 0, 496, 0, 0, -64, 0, 0, -400, 0, 0, -96, 0, 0, 1280, 0, 0, -464, 0, 0, -4880, 0, 0, -2992, 0, 0, -4096, 0, 0, -1760, 0, 0, -3632, 0, 0, -240, 0, 0, -3368, 0, 0, -128, 0, 0, 1200, 0, 0, -816, 0, 0, 1520, 0, 0, -256, 0, 0, 4640, 0, 0, 880, 0, 0, -1456, 0, 0, 1376, 0, 0, 3952, 0, 0, -224, 0, 0, 5168, 0, 0, 2208, 0, 0, 5336, 0, 0, 96, 0, 0, -3424, 0, 0, -576, 0, 0, -1840, 0, 0, 2016, 0, 0, -8800, 0, 0, 320, 0, 0, -2688, 0, 0, 1168, 0, 0, 5680, 0, 0, 1216, 0, 0, 9296, 0, 0, 6000, 0, 0, 7280, 0, 0, 2176, 0, 0, 5408, 0, 0, 1872, 0, 0, 4528, 0, 0, 960, 0, 0, 1680, 0, 0, -928, 0, 0, -1344, 0, 0, -576, 0, 0, -4752, 0, 0, -6032, 0, 0, -9944, 0, 0, -7616, 0, 0, -15376, 0, 0, -6832, 0, 0, -11208, 0, 0, -1856, 0, 0, -2624, 0, 0, -5072, 0, 0, -848, 0, 0, 688, 0, 0, 2264, 0, 0, 1472, 0, 0, 1960, 0, 0, -384, 0, 0, 1488, 0, 0, 2144, 0, 0, 6552, 0, 0, 3648, 0, 0, 3728, 0, 0, 7328, 0, 0, 7584, 0, 0, -64, 0, 0, 6200, 0, 0, 1920, 0, 0, -6784, 0, 0, 544, 0, 0, -8656, 0, 0, 1696, 0, 0, 7256, 0, 0, 0, 0, 0, 4680, 0, 0, 2528, 0, 0, 9784, 0, 0, 5520, 0, 0, 12432, 0, 0, 4032, 0, 0, 7080, 0, 0, -448, 0, 0, 6552, 0, 0, 4640, 0, 0, -152, 0, 0, 2208, 0, 0, -2960, 0, 0, -10640, 0, 0, -3448, 0, 0, 128, 0, 0, -18744, 0, 0, -9296, 0, 0, -22704, 0, 0, -7344, 0, 0, -8408, 0, 0, -9536, 0, 0, -11944, 0, 0, -320, 0, 0, -11864, 0, 0, -5008, 0, 0, 848, 0, 0, -128, 0, 0, 4848, 0, 0, -3152, 0, 0, 7744, 0, 0, 1280, 0, 0, -3232, 0, 0, 7168, 0, 0, 11248, 0, 0, 2976, 0, 0, 13448, 0, 0, 6144, 0, 0, -11840, 0, 0, 3712, 0, 0, -1232, 0, 0, 4160, 0, 0, -1432, 0, 0, -1376, 0, 0, -2736, 0, 0, -1040, 0, 0, -6608, 0, 0, 256, 0, 0, 4576, 0, 0, 352, 0, 0, 2128, 0, 0, 128, 0, 0, 2592, 0, 0, -2496, 0, 0, 1352, 0, 0, 1920, 0, 0, -5576, 0, 0, -8064, 0, 0, 7024, 0, 0, -4432, 0, 0, -10696, 0, 0, 1024, 0, 0, -7592, 0, 0, 0, 0, 0, 11904, 0, 0, -8320, 0, 0, 2896, 0, 0, 880, 0, 0, 5416, 0, 0, -5744, 0, 0, 4368, 0, 0, -768, 0, 0, 7688, 0, 0, -480, 0, 0, 10808, 0, 0, 2400, 0, 0, 9848, 0, 0, 9536, 0, 0, 14576, 0, 0, 768, 0, 0, 9632, 0, 0, 7264, 0, 0, -4416, 0, 0, 9456, 0, 0, -752, 0, 0, 10848, 0, 0, 17312, 0, 0, 384, 0, 0, 6664, 0, 0, 8832, 0, 0, 4912, 0, 0, 2688, 0, 0, 3776, 0, 0, 9184, 0, 0, 4048, 0, 0, -192, 0, 0, 1264, 0, 0, 5600, 0, 0, 8912, 0, 0, 2208, 0, 0, -8800, 0, 0, -6352, 0, 0, -6416, 0, 0, -8576, 0, 0, -24672, 0, 0, -8128, 0, 0, -25080, 0, 0, -8192, 0, 0, -12448, 0, 0, -20640, 0, 0, -24928, 0, 0, -1504, 0, 0, -12120, 0, 0, -17536, 0, 0, -10776, 0, 0, -7456, 0, 0, -17152, 0, 0, -12096, 0, 0, -21840, 0, 0, 32, 0, 0, -4112, 0, 0, -4608, 0, 0, 5648, 0, 0, 4640, 0, 0, 5736, 0, 0, 14528, 0, 0, -8528, 0, 0, 128, 0, 0, -368, 0, 0, 7824, 0, 0, 24920, 0, 0, 3616, 0, 0, 11864, 0, 0, 41696, 0, 0, 25624, 0, 0, 5824, 0, 0, 20104, 0, 0, 14160, 0, 0, 14200, 0, 0, -96, 0, 0, 15400, 0, 0, 7312, 0, 0, 9480, 0, 0, -128, 0, 0, 11928, 0, 0, 3040, 0, 0, 2720, 0, 0, -1680, 0, 0, -22424, 0, 0, -8320, 0, 0, -6736, 0, 0, -704, 0, 0, 20088, 0, 0, -21888, 0, 0, -5760, 0, 0, -1664, 0, 0, 7888, 0, 0, -12080, 0, 0, 1984, 0, 0, -2816, 0, 0, -16856, 0, 0, -11488, 0, 0, -16, 0, 0, -13152, 0, 0, -4312, 0, 0, -24720, 0, 0, -2096, 0, 0, -6912, 0, 0, 480, 0, 0, 16192, 0, 0, -7000, 0, 0, 6736, 0, 0, -4960, 0, 0, -3264, 0, 0, 20784, 0, 0, -1152, 0, 0, -9848, 0, 0, 20384, 0, 0, 14504, 0, 0, 10624, 0, 0, 4552, 0, 0, 14688, 0, 0, -21360, 0, 0, 576], 'weight': 3, 'weight_parity': -1}
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mf_twists_nf • Show schema
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id: 306793
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 11, 'source_dim': 80, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '414.3.k.a', 'source_level': 414, 'target_char_orbit': 11, 'target_dim': 80, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '414.3.k.a', 'target_level': 414, 'twist_class_label': '414.3.k.a', 'twist_class_level': 414, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 3}
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id: 306794
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 80, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '414.3.k.a', 'source_level': 414, 'target_char_orbit': 11, 'target_dim': 80, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '414.3.k.a', 'target_level': 414, 'twist_class_label': '414.3.k.a', 'twist_class_level': 414, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 306795
{'conductor': 23, 'degree': 10, 'multiplicity': 1, 'order': 11, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 80, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '414.3.k.a', 'source_level': 414, 'target_char_orbit': 11, 'target_dim': 80, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '414.3.k.a', 'target_level': 414, 'twist_class_label': '414.3.k.a', 'twist_class_level': 414, 'twisting_char_label': '23.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 306796
{'conductor': 69, 'degree': 10, 'multiplicity': 1, 'order': 22, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 80, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '414.3.k.a', 'source_level': 414, 'target_char_orbit': 11, 'target_dim': 80, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '414.3.k.a', 'target_level': 414, 'twist_class_label': '414.3.k.a', 'twist_class_level': 414, 'twisting_char_label': '69.h', 'twisting_char_orbit': 8, 'weight': 3}
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hecke_orbit_code 687245099422 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
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{'char_orbit_index': 11, 'hecke_orbit': 1, 'label': '414.3.k.a', 'level': 414, 'portrait': 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', 'weight': 3}
-
mf_hecke_traces • Show schema
Hide schema
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id: 41400000
{'hecke_orbit_code': 687245099422, 'n': 1, 'trace_an': 80}
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id: 41400001
{'hecke_orbit_code': 687245099422, 'n': 2, 'trace_an': 0}
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id: 41400002
{'hecke_orbit_code': 687245099422, 'n': 3, 'trace_an': 0}
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id: 41400003
{'hecke_orbit_code': 687245099422, 'n': 4, 'trace_an': 16}
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id: 41400004
{'hecke_orbit_code': 687245099422, 'n': 5, 'trace_an': 0}
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id: 41400005
{'hecke_orbit_code': 687245099422, 'n': 6, 'trace_an': 0}
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id: 41400006
{'hecke_orbit_code': 687245099422, 'n': 7, 'trace_an': -16}
-
id: 41400007
{'hecke_orbit_code': 687245099422, 'n': 8, 'trace_an': 0}
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id: 41400008
{'hecke_orbit_code': 687245099422, 'n': 9, 'trace_an': 0}
-
id: 41400009
{'hecke_orbit_code': 687245099422, 'n': 10, 'trace_an': 8}
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id: 41400010
{'hecke_orbit_code': 687245099422, 'n': 11, 'trace_an': 0}
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id: 41400011
{'hecke_orbit_code': 687245099422, 'n': 12, 'trace_an': 0}
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id: 41400012
{'hecke_orbit_code': 687245099422, 'n': 13, 'trace_an': 8}
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id: 41400013
{'hecke_orbit_code': 687245099422, 'n': 14, 'trace_an': 0}
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id: 41400014
{'hecke_orbit_code': 687245099422, 'n': 15, 'trace_an': 0}
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id: 41400015
{'hecke_orbit_code': 687245099422, 'n': 16, 'trace_an': -32}
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id: 41400016
{'hecke_orbit_code': 687245099422, 'n': 17, 'trace_an': 0}
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id: 41400017
{'hecke_orbit_code': 687245099422, 'n': 18, 'trace_an': 0}
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id: 41400018
{'hecke_orbit_code': 687245099422, 'n': 19, 'trace_an': -128}
-
id: 41400019
{'hecke_orbit_code': 687245099422, 'n': 20, 'trace_an': 0}
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id: 41400020
{'hecke_orbit_code': 687245099422, 'n': 21, 'trace_an': 0}
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id: 41400021
{'hecke_orbit_code': 687245099422, 'n': 22, 'trace_an': -32}
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id: 41400022
{'hecke_orbit_code': 687245099422, 'n': 23, 'trace_an': 0}
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id: 41400023
{'hecke_orbit_code': 687245099422, 'n': 24, 'trace_an': 0}
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id: 41400024
{'hecke_orbit_code': 687245099422, 'n': 25, 'trace_an': -352}
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id: 41400025
{'hecke_orbit_code': 687245099422, 'n': 26, 'trace_an': 0}
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id: 41400026
{'hecke_orbit_code': 687245099422, 'n': 27, 'trace_an': 0}
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id: 41400027
{'hecke_orbit_code': 687245099422, 'n': 28, 'trace_an': 32}
-
id: 41400028
{'hecke_orbit_code': 687245099422, 'n': 29, 'trace_an': 0}
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id: 41400029
{'hecke_orbit_code': 687245099422, 'n': 30, 'trace_an': 0}
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id: 41400030
{'hecke_orbit_code': 687245099422, 'n': 31, 'trace_an': 32}
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id: 41400031
{'hecke_orbit_code': 687245099422, 'n': 32, 'trace_an': 0}
-
id: 41400032
{'hecke_orbit_code': 687245099422, 'n': 33, 'trace_an': 0}
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id: 41400033
{'hecke_orbit_code': 687245099422, 'n': 34, 'trace_an': -300}
-
id: 41400034
{'hecke_orbit_code': 687245099422, 'n': 35, 'trace_an': 0}
-
id: 41400035
{'hecke_orbit_code': 687245099422, 'n': 36, 'trace_an': 0}
-
id: 41400036
{'hecke_orbit_code': 687245099422, 'n': 37, 'trace_an': -384}
-
id: 41400037
{'hecke_orbit_code': 687245099422, 'n': 38, 'trace_an': 0}
-
id: 41400038
{'hecke_orbit_code': 687245099422, 'n': 39, 'trace_an': 0}
-
id: 41400039
{'hecke_orbit_code': 687245099422, 'n': 40, 'trace_an': -16}
-
id: 41400040
{'hecke_orbit_code': 687245099422, 'n': 41, 'trace_an': 0}
-
id: 41400041
{'hecke_orbit_code': 687245099422, 'n': 42, 'trace_an': 0}
-
id: 41400042
{'hecke_orbit_code': 687245099422, 'n': 43, 'trace_an': 540}
-
id: 41400043
{'hecke_orbit_code': 687245099422, 'n': 44, 'trace_an': 0}
-
id: 41400044
{'hecke_orbit_code': 687245099422, 'n': 45, 'trace_an': 0}
-
id: 41400045
{'hecke_orbit_code': 687245099422, 'n': 46, 'trace_an': 0}
-
id: 41400046
{'hecke_orbit_code': 687245099422, 'n': 47, 'trace_an': 0}
-
id: 41400047
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