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mf_newforms • Show schema
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{'Nk2': 1980, 'analytic_conductor': 3.952594900053379, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 11, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 14, 'char_orbit_label': 'n', 'char_order': 5, 'char_parity': 1, 'char_values': [495, 5, [56, 397, 46], [5, 5, 4]], 'cm_discs': [], 'conrey_index': 91, 'conrey_indexes': [91, 136, 181, 361], 'dim': 16, 'field_disc': 129084992656000000000000, 'field_disc_factorization': [[2, 16], [5, 12], [89821, 2]], 'field_poly': [1, 4, 17, 70, 383, -430, 471, -172, 360, 26, 171, 32, 47, -8, 5, -2, 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, -10, 147, -416, 507, -44, 111, -18, 252, -84, 113, 46, 61, 22, 10, 2, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27022491150975471, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 11, 3, 1, 5, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '495.2.n.g', 'level': 495, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 11], 'level_radical': 165, 'minimal_twist': '495.2.n.g', 'prim_orbit_index': 3, 'qexp_display': 'q+(1-\\beta _{1}+\\beta _{3}+\\beta _{5}-\\beta _{10}-\\beta _{14}+\\cdots)q^{2}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c5', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '495.2.n', 'trace_display': [-2, 0, -4, -4], 'trace_hash': 1314472330340774029, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.105', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.351', 'prec': 20}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 1980, 'analytic_conductor': 3.952594900053379, 'char_conductor': 11, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 14, 'char_orbit_label': 'n', 'char_order': 5, 'char_parity': 1, 'char_values': [495, 5, [56, 397, 46], [5, 5, 4]], 'conrey_index': 91, 'cusp_dim': 256, 'dim': 80, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 893386752495, 'hecke_orbit_dims': [8, 8, 8, 8, 8, 8, 16, 16], 'label': '495.2.n', 'level': 495, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 11], 'level_radical': 165, 'mf_dim': 320, 'mf_new_dim': 80, 'num_forms': 8, 'prim_orbit_index': 3, 'relative_dim': 20, 'sturm_bound': 144, 'trace_bound': 4, 'trace_display': [-2, 0, 0, -4], 'traces': [80, -2, 0, -24, 0, 0, -4, 14, 0, 8, 6, 0, 2, 0, 0, -16, 28, 0, 14, -4, 0, -62, 16, 0, -20, -20, 0, 22, -18, 0, -12, -84, 0, -16, 4, 0, 20, 42, 0, -6, 24, 0, 20, -12, 0, 18, 28, 0, 2, -2, 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242, 0, 70, 438, 0, 88, 504, 0, 436, 46, 0, -34, 48, 0, -236, 376, 0, 24], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 45910567
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 181, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27022491150975471, 'source_is_minimal': True, 'source_label': '495.2.n.g.181.3', 'source_level': 495, 'target_conrey_index': 181, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27022491150975471, 'target_is_minimal': True, 'target_label': '495.2.n.g.181.3', 'target_level': 495, 'twist_class_label': '495.2.n.g.181.3', 'twist_class_level': 495, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45910568
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 181, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27022491150975471, 'source_is_minimal': True, 'source_label': '495.2.n.g.181.3', 'source_level': 495, 'target_conrey_index': 181, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31526090778345967, 'target_is_minimal': True, 'target_label': '495.2.n.h.181.2', 'target_level': 495, 'twist_class_label': '495.2.n.g.181.3', 'twist_class_level': 495, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45910569
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 181, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27022491150975471, 'source_is_minimal': True, 'source_label': '495.2.n.g.181.3', 'source_level': 495, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 247697979538937157, 'target_is_minimal': False, 'target_label': '5445.2.a.cd.1.5', 'target_level': 5445, 'twist_class_label': '495.2.n.g.181.3', 'twist_class_level': 495, 'twisting_char_label': '11.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45910570
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 181, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27022491150975471, 'source_is_minimal': True, 'source_label': '495.2.n.g.181.3', 'source_level': 495, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 238690780284196165, 'target_is_minimal': False, 'target_label': '5445.2.a.cb.1.4', 'target_level': 5445, 'twist_class_label': '495.2.n.g.181.3', 'twist_class_level': 495, 'twisting_char_label': '11.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 45910571
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 181, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27022491150975471, 'source_is_minimal': True, 'source_label': '495.2.n.g.181.3', 'source_level': 495, 'target_conrey_index': 361, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27022491150975471, 'target_is_minimal': True, 'target_label': '495.2.n.g.361.3', 'target_level': 495, 'twist_class_label': '495.2.n.g.181.3', 'twist_class_level': 495, 'twisting_char_label': '11.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 45910572
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 181, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27022491150975471, 'source_is_minimal': True, 'source_label': '495.2.n.g.181.3', 'source_level': 495, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 243194379911566661, 'target_is_minimal': False, 'target_label': '5445.2.a.cc.1.5', 'target_level': 5445, 'twist_class_label': '495.2.n.g.181.3', 'twist_class_level': 495, 'twisting_char_label': '33.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 45910573
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 181, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27022491150975471, 'source_is_minimal': True, 'source_label': '495.2.n.g.181.3', 'source_level': 495, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 234187180656825669, 'target_is_minimal': False, 'target_label': '5445.2.a.ca.1.4', 'target_level': 5445, 'twist_class_label': '495.2.n.g.181.3', 'twist_class_level': 495, 'twisting_char_label': '33.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 45910574
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 181, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27022491150975471, 'source_is_minimal': True, 'source_label': '495.2.n.g.181.3', 'source_level': 495, 'target_conrey_index': 361, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31526090778345967, 'target_is_minimal': True, 'target_label': '495.2.n.h.361.2', 'target_level': 495, 'twist_class_label': '495.2.n.g.181.3', 'twist_class_level': 495, 'twisting_char_label': '33.20', 'twisting_conrey_index': 20, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 965850
{'charpoly_factorization': [[[1, -10, 147, -416, 507, -44, 111, -18, 252, -84, 113, 46, 61, 22, 10, 2, 1], 1]], 'hecke_orbit_code': 27022491150975471, 'p': 2}
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id: 965851
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 27022491150975471, 'p': 3}
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id: 965852
{'charpoly_factorization': [[[1, 1, 1, 1, 1], 4]], 'hecke_orbit_code': 27022491150975471, 'p': 5}
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id: 965853
{'charpoly_factorization': [[[10201, -11716, 42770, -93918, 141613, -12940, 67089, 236, 11278, 2470, 1023, 56, 339, 68, 17, 4, 1], 1]], 'hecke_orbit_code': 27022491150975471, 'p': 7}
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id: 965854
{'charpoly_factorization': [[[214358881, -77948684, 8857805, 4831530, -3221020, 822558, -69817, -67540, 39185, -6140, -577, 618, -220, 30, 5, -4, 1], 1]], 'hecke_orbit_code': 27022491150975471, 'p': 11}
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id: 965855
{'charpoly_factorization': [[[1771561, -4187326, 19282197, -9306352, 8028471, -698808, 516503, -162496, 138174, 23204, 18817, -2222, 285, 72, 22, -2, 1], 1]], 'hecke_orbit_code': 27022491150975471, 'p': 13}
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id: 965856
{'charpoly_factorization': [[[17901361, -19885700, 25132150, -29222956, 43480689, 11075740, 6538046, 1341152, 627811, 52584, 33542, 52, 1325, 104, 26, 4, 1], 1]], 'hecke_orbit_code': 27022491150975471, 'p': 17}
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id: 965857
{'charpoly_factorization': [[[35153041, 55697026, 30042243, -29607732, 109056655, -80540488, 34790545, -6114572, 2963354, -412384, 64751, 184, 2941, 170, 82, 4, 1], 1]], 'hecke_orbit_code': 27022491150975471, 'p': 19}
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id: 965858
{'charpoly_factorization': [[[-1, 144, 2139, 3042, 1309, 46, -65, -4, 1], 2]], 'hecke_orbit_code': 27022491150975471, 'p': 23}
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id: 965859
{'charpoly_factorization': [[[3575881, -7582910, 34737783, -5121864, -7295667, 3409876, 13217257, 3724640, 2812424, 729336, 271317, 61422, 12793, 2332, 324, 26, 1], 1]], 'hecke_orbit_code': 27022491150975471, 'p': 29}
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id: 965860
{'charpoly_factorization': [[[532732561, -232148698, 861928051, -55894584, 415883995, -75969308, 56721005, -20139130, 5119880, -66838, -8463, 8328, 2595, -212, 23, 10, 1], 1]], 'hecke_orbit_code': 27022491150975471, 'p': 31}
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id: 965861
{'charpoly_factorization': [[[15099740161, -32785142324, 34844222737, -23499419304, 11331012975, -4198160720, 1263079891, -319523350, 69603096, -13170076, 2173163, -309060, 38079, -3976, 345, -22, 1], 1]], 'hecke_orbit_code': 27022491150975471, 'p': 37}
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id: 965862
{'charpoly_factorization': [[[7009547478025, 3408541733650, 1268271619940, 390587874660, 112367424641, 22539995470, 4196786057, 650757888, 93030264, 8643852, 1035637, 81556, 14605, 1328, 131, 6, 1], 1]], 'hecke_orbit_code': 27022491150975471, 'p': 41}
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id: 965863
{'charpoly_factorization': [[[-2417279, 230960, 588171, -163146, 1462, 3012, -172, -14, 1], 2]], 'hecke_orbit_code': 27022491150975471, 'p': 43}
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id: 965864
{'charpoly_factorization': [[[346921, -8402674, 482524928, -696940520, 609417097, -304759058, 108986459, -11871812, 3204788, 575426, 206219, -6396, 1885, 204, 173, 20, 1], 1]], 'hecke_orbit_code': 27022491150975471, 'p': 47}
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id: 965865
{'charpoly_factorization': [[[154209363025, 113127575600, 480485102535, -188678579310, 90024582606, -37894574890, 11993414307, -2211877732, 304597269, -28175348, 2317017, -198694, 21190, -1312, 131, -14, 1], 1]], 'hecke_orbit_code': 27022491150975471, 'p': 53}
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id: 965866
{'charpoly_factorization': [[[7826763961, 31640583974, 50875341559, 7206884342, 23281535617, 6721433890, 1232074643, 123881672, 24221454, 5330994, 1339291, 211154, 28999, 2886, 283, 16, 1], 1]], 'hecke_orbit_code': 27022491150975471, 'p': 59}
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id: 965867
{'charpoly_factorization': [[[213905325001, 373785216814, 511455808625, 379483580754, 174006451512, 52111822156, 10949075039, 1647981972, 197830815, 23969764, 4658079, 842900, 128108, 12650, 873, 38, 1], 1]], 'hecke_orbit_code': 27022491150975471, 'p': 61}
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id: 965868
{'charpoly_factorization': [[[-597971, 641474, -125028, -43982, 9702, 1238, -173, -10, 1], 2]], 'hecke_orbit_code': 27022491150975471, 'p': 67}
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id: 965869
{'charpoly_factorization': [[[81898970538025, 88060394525200, 89903665448335, 41442238296660, 12688050289111, 2722370918340, 435531417337, 51688617562, 4732563154, 340827008, 25001127, 2411564, 265165, 23292, 1441, 54, 1], 1]], 'hecke_orbit_code': 27022491150975471, 'p': 71}
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id: 965870
{'charpoly_factorization': [[[9273553653001, 9080676590414, 6195758698607, 2689813879378, 852991217576, 198752348572, 35382249093, 4878227924, 587193759, 62108674, 5389797, 310088, 22340, 1382, 47, -2, 1], 1]], 'hecke_orbit_code': 27022491150975471, 'p': 73}
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id: 965871
{'charpoly_factorization': [[[32898311847025, -45865106176100, 29793809632440, -10670996133940, 3023950506036, -832370672176, 191922480702, -9326792896, 2458571126, -73620152, 14857516, -148356, 56213, 948, 302, 12, 1], 1]], 'hecke_orbit_code': 27022491150975471, 'p': 79}
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id: 965872
{'charpoly_factorization': [[[1719577524548521, 980184080862360, 412575498858237, 103588090069398, 19454525419563, 2345915231342, 226771390063, 15394976940, 2991568514, 297421532, 27540273, 2560466, 231273, 12254, 611, 28, 1], 1]], 'hecke_orbit_code': 27022491150975471, 'p': 83}
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id: 965873
{'charpoly_factorization': [[[-5696725, 6461770, -2873896, 629456, -64783, 888, 438, -38, 1], 2]], 'hecke_orbit_code': 27022491150975471, 'p': 89}
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id: 965874
{'charpoly_factorization': [[[57744177883681, 14222697997776, 27638886070115, 19008150901302, 7016936587964, 1612371435030, 262417855317, 31190419902, 2908626391, 223335780, 16959189, 952230, 53280, 3732, 403, 18, 1], 1]], 'hecke_orbit_code': 27022491150975471, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 14, 'hecke_orbit': 7, 'label': '495.2.n.g', 'level': 495, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 184554000
{'hecke_orbit_code': 27022491150975471, 'n': 1, 'trace_an': 16}
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id: 184554001
{'hecke_orbit_code': 27022491150975471, 'n': 2, 'trace_an': -2}
-
id: 184554002
{'hecke_orbit_code': 27022491150975471, 'n': 3, 'trace_an': 0}
-
id: 184554003
{'hecke_orbit_code': 27022491150975471, 'n': 4, 'trace_an': -8}
-
id: 184554004
{'hecke_orbit_code': 27022491150975471, 'n': 5, 'trace_an': -4}
-
id: 184554005
{'hecke_orbit_code': 27022491150975471, 'n': 6, 'trace_an': 0}
-
id: 184554006
{'hecke_orbit_code': 27022491150975471, 'n': 7, 'trace_an': -4}
-
id: 184554007
{'hecke_orbit_code': 27022491150975471, 'n': 8, 'trace_an': -6}
-
id: 184554008
{'hecke_orbit_code': 27022491150975471, 'n': 9, 'trace_an': 0}
-
id: 184554009
{'hecke_orbit_code': 27022491150975471, 'n': 10, 'trace_an': 8}
-
id: 184554010
{'hecke_orbit_code': 27022491150975471, 'n': 11, 'trace_an': 4}
-
id: 184554011
{'hecke_orbit_code': 27022491150975471, 'n': 12, 'trace_an': 0}
-
id: 184554012
{'hecke_orbit_code': 27022491150975471, 'n': 13, 'trace_an': 2}
-
id: 184554013
{'hecke_orbit_code': 27022491150975471, 'n': 14, 'trace_an': -22}
-
id: 184554014
{'hecke_orbit_code': 27022491150975471, 'n': 15, 'trace_an': 0}
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id: 184554015
{'hecke_orbit_code': 27022491150975471, 'n': 16, 'trace_an': 8}
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id: 184554016
{'hecke_orbit_code': 27022491150975471, 'n': 17, 'trace_an': -4}
-
id: 184554017
{'hecke_orbit_code': 27022491150975471, 'n': 18, 'trace_an': 0}
-
id: 184554018
{'hecke_orbit_code': 27022491150975471, 'n': 19, 'trace_an': -4}
-
id: 184554019
{'hecke_orbit_code': 27022491150975471, 'n': 20, 'trace_an': 2}
-
id: 184554020
{'hecke_orbit_code': 27022491150975471, 'n': 21, 'trace_an': 0}
-
id: 184554021
{'hecke_orbit_code': 27022491150975471, 'n': 22, 'trace_an': -28}
-
id: 184554022
{'hecke_orbit_code': 27022491150975471, 'n': 23, 'trace_an': 8}
-
id: 184554023
{'hecke_orbit_code': 27022491150975471, 'n': 24, 'trace_an': 0}
-
id: 184554024
{'hecke_orbit_code': 27022491150975471, 'n': 25, 'trace_an': -4}
-
id: 184554025
{'hecke_orbit_code': 27022491150975471, 'n': 26, 'trace_an': 6}
-
id: 184554026
{'hecke_orbit_code': 27022491150975471, 'n': 27, 'trace_an': 0}
-
id: 184554027
{'hecke_orbit_code': 27022491150975471, 'n': 28, 'trace_an': -2}
-
id: 184554028
{'hecke_orbit_code': 27022491150975471, 'n': 29, 'trace_an': -26}
-
id: 184554029
{'hecke_orbit_code': 27022491150975471, 'n': 30, 'trace_an': 0}
-
id: 184554030
{'hecke_orbit_code': 27022491150975471, 'n': 31, 'trace_an': -10}
-
id: 184554031
{'hecke_orbit_code': 27022491150975471, 'n': 32, 'trace_an': 56}
-
id: 184554032
{'hecke_orbit_code': 27022491150975471, 'n': 33, 'trace_an': 0}
-
id: 184554033
{'hecke_orbit_code': 27022491150975471, 'n': 34, 'trace_an': -4}
-
id: 184554034
{'hecke_orbit_code': 27022491150975471, 'n': 35, 'trace_an': -4}
-
id: 184554035
{'hecke_orbit_code': 27022491150975471, 'n': 36, 'trace_an': 0}
-
id: 184554036
{'hecke_orbit_code': 27022491150975471, 'n': 37, 'trace_an': 22}
-
id: 184554037
{'hecke_orbit_code': 27022491150975471, 'n': 38, 'trace_an': -30}
-
id: 184554038
{'hecke_orbit_code': 27022491150975471, 'n': 39, 'trace_an': 0}
-
id: 184554039
{'hecke_orbit_code': 27022491150975471, 'n': 40, 'trace_an': -6}
-
id: 184554040
{'hecke_orbit_code': 27022491150975471, 'n': 41, 'trace_an': -6}
-
id: 184554041
{'hecke_orbit_code': 27022491150975471, 'n': 42, 'trace_an': 0}
-
id: 184554042
{'hecke_orbit_code': 27022491150975471, 'n': 43, 'trace_an': 28}
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id: 184554043
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