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{'Nk2': 15876, 'analytic_conductor': 70.72926453752446, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [7, 1]], 'atkin_lehner_string': '-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [441, 1, [344, 199], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 6, 'field_disc': 100391645696, 'field_disc_factorization': [[2, 9], [223, 1], [879271, 1]], 'field_poly': [-2338, -1856, 941, 122, -59, -2, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-51088, 4256, 6472, -336, -169, 2, 1]], [5, [9969962312, 959211664, 9669292, -651312, -6778, 100, 1]], [13, [8818638530643704, 5552830868704, -312398022260, 808285728, -126598, -1352, 1]]], 'hecke_orbit': 27, 'hecke_orbit_code': 117093590412296633, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 5488, 'hecke_ring_index_factorization': [[2, 4], [7, 3]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '441.6.a.ba', 'level': 441, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'minimal_twist': '147.6.a.n', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{2}q^{2}+(5^{2}-\\beta _{1}+\\beta _{4})q^{4}+(-2^{4}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '5.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '441.6.a', 'trace_display': [-2, 0, -100, 0], 'trace_hash': 985411882347783836, 'trace_moments': [{'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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-59, -2, 1], 'hecke_orbit_code': 117093590412296633, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1941, 1941, 1941, 647, 1941], 'hecke_ring_inverse_denominators': [1, 28, 28, 28, 28, 28], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0], [5, -4, -12, -1, 0, 1], [567, -4, -4, 5, 4, 3], [-129, -25, -302, -28, 4, 29], [14843, 74, 80, 155, 176, 99], [-9528, 643, -8710, -737, 192, 862]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [11802, -7063, 742, -546, -35, 28], [-27289, -42269, 2547, 3961, -53, -87], [-143678, 33579, 21656, -6316, -521, 158], [71402, 81453, -17195, -5988, 512, 108], [-433643, -447553, 55188, 39032, -1297, -774]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'label': '441.6.a.ba', 'level': 441, 'maxp': 2999, 'weight': 6}
-
mf_newspaces • Show schema
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{'AL_dims': [[[[3, -1], [7, -1]], 24, 15], [[[3, 1], [7, -1]], 19, 6], [[[3, -1], [7, 1]], 25, 7], [[[3, 1], [7, 1]], 15, 3]], 'ALdims': [15, 19, 25, 24], 'Nk2': 15876, 'analytic_conductor': 70.72926453752446, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [441, 1, [344, 199], [1, 1]], 'conrey_index': 1, 'cusp_dim': 264, 'dim': 83, 'eis_dim': 32, 'eis_new_dim': 5, 'hecke_cutter_primes': [2, 5, 13], 'hecke_orbit_code': 100663737, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 6, 6, 6, 6, 8], 'label': '441.6.a', 'level': 441, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'mf_dim': 296, 'mf_new_dim': 88, 'num_forms': 31, 'plus_dim': 39, 'prim_orbit_index': 1, 'relative_dim': 83, 'sturm_bound': 336, 'trace_bound': 13, 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2619009272, 7374154140, 0, -6096979680, 0, 0, 4005119180, -312952800, 0, -610303660, 1249313472, 0, 551072584, 6514238696, 0, 6495880460, -329315904, 0, 0, 3871973772, 0, 976943852, -1553653154, 0, -1751602584, 0, 0, -3987818076, -289745664, 0, -2014556344, -1237864938, 0, 2833171944, 1332069040, 0, -353984684, -2584728480, 0, 0, 7063787800, 0, 2587998936, 2541116952, 0, 4822820936, 0, 0, -1293897600, -768642600, 0, -945155712, -1639321968, 0, -1177420620, -8072476308, 0, -1135992864, 1174034112, 0, 0, 5529427288, 0, -1643925270, -4624694628, 0, -2092550020, 0, 0, 8527826832, -1118621412, 0, -944020104, 727777608, 0, 2270306720, 4340776504, 0, 2380615788, -1262352318, 0, 0, 2262852254, 0, -2524186144, 4207242368, 0, 2487160896, 0, 0, -4479161276, 63672378, 0, 4364617992, 904335168, 0, -5124501176, 9752301936, 0, 3852700672, 2345537184, 0, 0, -1990203768, 0, 2138610216, -1208399436, 0, 4153504392, 0, 0, 3572626240, -1124289264, 0], 'weight': 6, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 324192
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '441.6.a.ba', 'source_level': 441, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 14, 'target_is_minimal': True, 'target_label': '147.6.a.n', 'target_level': 147, 'twist_class_label': '147.6.a.n', 'twist_class_level': 147, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 6}
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id: 324193
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '441.6.a.ba', 'source_level': 441, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 15, 'target_is_minimal': True, 'target_label': '147.6.a.o', 'target_level': 147, 'twist_class_label': '147.6.a.n', 'twist_class_level': 147, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 6}
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id: 324194
{'conductor': 21, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '441.6.a.ba', 'source_level': 441, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '147.6.e.p', 'target_level': 147, 'twist_class_label': '147.6.a.n', 'twist_class_level': 147, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 6}
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id: 324195
{'conductor': 21, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '441.6.a.ba', 'source_level': 441, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '147.6.e.q', 'target_level': 147, 'twist_class_label': '147.6.a.n', 'twist_class_level': 147, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 6}
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id: 324196
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '441.6.a.ba', 'source_level': 441, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '441.6.a.ba', 'target_level': 441, 'twist_class_label': '147.6.a.n', 'twist_class_level': 147, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 6}
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id: 324197
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '441.6.a.ba', 'source_level': 441, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '441.6.a.bb', 'target_level': 441, 'twist_class_label': '147.6.a.n', 'twist_class_level': 147, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 6}
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mf_hecke_charpolys • Show schema
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id: 895325
{'charpoly_factorization': [[[-51088, 4256, 6472, -336, -169, 2, 1], 1]], 'hecke_orbit_code': 117093590412296633, 'p': 2}
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id: 895326
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 117093590412296633, 'p': 3}
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id: 895327
{'charpoly_factorization': [[[9969962312, 959211664, 9669292, -651312, -6778, 100, 1], 1]], 'hecke_orbit_code': 117093590412296633, 'p': 5}
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id: 895328
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 117093590412296633, 'p': 7}
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id: 895329
{'charpoly_factorization': [[[-55273527989696, 15123294433216, -11867400976, -359951456, -500836, 604, 1], 1]], 'hecke_orbit_code': 117093590412296633, 'p': 11}
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id: 895330
{'charpoly_factorization': [[[8818638530643704, 5552830868704, -312398022260, 808285728, -126598, -1352, 1], 1]], 'hecke_orbit_code': 117093590412296633, 'p': 13}
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id: 895331
{'charpoly_factorization': [[[-77634357357142712, -1817914266048944, -5595796869460, -4922692976, 960902, 3028, 1], 1]], 'hecke_orbit_code': 117093590412296633, 'p': 17}
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id: 895332
{'charpoly_factorization': [[[-3735293167739744768, -16882924839579648, 16923734261952, 11346877440, -7968600, -1728, 1], 1]], 'hecke_orbit_code': 117093590412296633, 'p': 19}
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id: 895333
{'charpoly_factorization': [[[-10876910613896947648, -251128931562936896, 49469900108272, 90302677920, -19751812, -4484, 1], 1]], 'hecke_orbit_code': 117093590412296633, 'p': 23}
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id: 895334
{'charpoly_factorization': [[[-456582386547214441984, -413077597670801920, 394389617709760, 130079620992, -41146408, -5320, 1], 1]], 'hecke_orbit_code': 117093590412296633, 'p': 29}
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id: 895335
{'charpoly_factorization': [[[-3217321419299234082304, 763919493148671488, 1627711614738112, 140587032960, -88488040, -3976, 1], 1]], 'hecke_orbit_code': 117093590412296633, 'p': 31}
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id: 895336
{'charpoly_factorization': [[[-79603482182724152324096, 64747232745500190720, -17742287505662208, 1603803782912, 87265776, -22680, 1], 1]], 'hecke_orbit_code': 117093590412296633, 'p': 37}
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id: 895337
{'charpoly_factorization': [[[18479076564030640989256, 82163383248259387984, -15548374571673172, -3631066472048, 55056710, 28756, 1], 1]], 'hecke_orbit_code': 117093590412296633, 'p': 41}
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id: 895338
{'charpoly_factorization': [[[-287238848733958732218368, 59538852421323669504, 22779206566284288, -2231851972608, -387379104, 6768, 1], 1]], 'hecke_orbit_code': 117093590412296633, 'p': 43}
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id: 895339
{'charpoly_factorization': [[[1301361672872602582528, -16481230197039654912, -11579177448956736, 2130988958208, 735770472, 51552, 1], 1]], 'hecke_orbit_code': 117093590412296633, 'p': 47}
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id: 895340
{'charpoly_factorization': [[[93395812586465043872385088, -849692996457797390528, -942681098319975184, -27823564813472, 1498706108, 80884, 1], 1]], 'hecke_orbit_code': 117093590412296633, 'p': 53}
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id: 895341
{'charpoly_factorization': [[[-3437453506928507693604352, 452638104507905976832, 178489629727189696, -2643841282944, -1106900008, 8872, 1], 1]], 'hecke_orbit_code': 117093590412296633, 'p': 59}
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id: 895342
{'charpoly_factorization': [[[-18697751901082743681769736, -3803812645452342303040, 42902272625339660, 29293770273344, -222122566, -50896, 1], 1]], 'hecke_orbit_code': 117093590412296633, 'p': 61}
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id: 895343
{'charpoly_factorization': [[[-249076457118062320825106432, -4822033622845796499456, 1905614748297366528, 15790719633408, -3000969888, -6480, 1], 1]], 'hecke_orbit_code': 117093590412296633, 'p': 67}
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id: 895344
{'charpoly_factorization': [[[-2952242055238295324992973248, 400421189200271239127488, -19614262036831368464, 365269119773856, 858142556, -110852, 1], 1]], 'hecke_orbit_code': 117093590412296633, 'p': 71}
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id: 895345
{'charpoly_factorization': [[[3256303355122352128964003384, -314379765900254476087712, 3738292215205062988, 296839059037344, -5386018870, -64232, 1], 1]], 'hecke_orbit_code': 117093590412296633, 'p': 73}
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id: 895346
{'charpoly_factorization': [[[-1046520153924065781840314368, 251644843449707841110016, -18727181437041497088, 507917557775360, -1585863072, -111696, 1], 1]], 'hecke_orbit_code': 117093590412296633, 'p': 79}
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id: 895347
{'charpoly_factorization': [[[-194605677450396960676999168, 43717411233404896970752, 2636280972634775296, -259543622746368, -2157797008, 101128, 1], 1]], 'hecke_orbit_code': 117093590412296633, 'p': 83}
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id: 895348
{'charpoly_factorization': [[[48756720246567745898245619272, 4169334274070521949914096, 91546162688810429612, -151709255824976, -18350566330, -35012, 1], 1]], 'hecke_orbit_code': 117093590412296633, 'p': 89}
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id: 895349
{'charpoly_factorization': [[[-1391256292133980441584006088, -30139554682489189812896, 8495591547037465420, 119558814297504, -13346679478, -70952, 1], 1]], 'hecke_orbit_code': 117093590412296633, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 27, 'label': '441.6.a.ba', 'level': 441, 'portrait': 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', 'weight': 6}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 261524000
{'hecke_orbit_code': 117093590412296633, 'n': 1, 'trace_an': 6}
-
id: 261524001
{'hecke_orbit_code': 117093590412296633, 'n': 2, 'trace_an': -2}
-
id: 261524002
{'hecke_orbit_code': 117093590412296633, 'n': 3, 'trace_an': 0}
-
id: 261524003
{'hecke_orbit_code': 117093590412296633, 'n': 4, 'trace_an': 150}
-
id: 261524004
{'hecke_orbit_code': 117093590412296633, 'n': 5, 'trace_an': -100}
-
id: 261524005
{'hecke_orbit_code': 117093590412296633, 'n': 6, 'trace_an': 0}
-
id: 261524006
{'hecke_orbit_code': 117093590412296633, 'n': 7, 'trace_an': 0}
-
id: 261524007
{'hecke_orbit_code': 117093590412296633, 'n': 8, 'trace_an': 114}
-
id: 261524008
{'hecke_orbit_code': 117093590412296633, 'n': 9, 'trace_an': 0}
-
id: 261524009
{'hecke_orbit_code': 117093590412296633, 'n': 10, 'trace_an': 864}
-
id: 261524010
{'hecke_orbit_code': 117093590412296633, 'n': 11, 'trace_an': -604}
-
id: 261524011
{'hecke_orbit_code': 117093590412296633, 'n': 12, 'trace_an': 0}
-
id: 261524012
{'hecke_orbit_code': 117093590412296633, 'n': 13, 'trace_an': 1352}
-
id: 261524013
{'hecke_orbit_code': 117093590412296633, 'n': 14, 'trace_an': 0}
-
id: 261524014
{'hecke_orbit_code': 117093590412296633, 'n': 15, 'trace_an': 0}
-
id: 261524015
{'hecke_orbit_code': 117093590412296633, 'n': 16, 'trace_an': 4578}
-
id: 261524016
{'hecke_orbit_code': 117093590412296633, 'n': 17, 'trace_an': -3028}
-
id: 261524017
{'hecke_orbit_code': 117093590412296633, 'n': 18, 'trace_an': 0}
-
id: 261524018
{'hecke_orbit_code': 117093590412296633, 'n': 19, 'trace_an': 1728}
-
id: 261524019
{'hecke_orbit_code': 117093590412296633, 'n': 20, 'trace_an': -452}
-
id: 261524020
{'hecke_orbit_code': 117093590412296633, 'n': 21, 'trace_an': 0}
-
id: 261524021
{'hecke_orbit_code': 117093590412296633, 'n': 22, 'trace_an': -4116}
-
id: 261524022
{'hecke_orbit_code': 117093590412296633, 'n': 23, 'trace_an': 4484}
-
id: 261524023
{'hecke_orbit_code': 117093590412296633, 'n': 24, 'trace_an': 0}
-
id: 261524024
{'hecke_orbit_code': 117093590412296633, 'n': 25, 'trace_an': 4806}
-
id: 261524025
{'hecke_orbit_code': 117093590412296633, 'n': 26, 'trace_an': -14172}
-
id: 261524026
{'hecke_orbit_code': 117093590412296633, 'n': 27, 'trace_an': 0}
-
id: 261524027
{'hecke_orbit_code': 117093590412296633, 'n': 28, 'trace_an': 0}
-
id: 261524028
{'hecke_orbit_code': 117093590412296633, 'n': 29, 'trace_an': 5320}
-
id: 261524029
{'hecke_orbit_code': 117093590412296633, 'n': 30, 'trace_an': 0}
-
id: 261524030
{'hecke_orbit_code': 117093590412296633, 'n': 31, 'trace_an': 3976}
-
id: 261524031
{'hecke_orbit_code': 117093590412296633, 'n': 32, 'trace_an': 37326}
-
id: 261524032
{'hecke_orbit_code': 117093590412296633, 'n': 33, 'trace_an': 0}
-
id: 261524033
{'hecke_orbit_code': 117093590412296633, 'n': 34, 'trace_an': -16336}
-
id: 261524034
{'hecke_orbit_code': 117093590412296633, 'n': 35, 'trace_an': 0}
-
id: 261524035
{'hecke_orbit_code': 117093590412296633, 'n': 36, 'trace_an': 0}
-
id: 261524036
{'hecke_orbit_code': 117093590412296633, 'n': 37, 'trace_an': 22680}
-
id: 261524037
{'hecke_orbit_code': 117093590412296633, 'n': 38, 'trace_an': -52744}
-
id: 261524038
{'hecke_orbit_code': 117093590412296633, 'n': 39, 'trace_an': 0}
-
id: 261524039
{'hecke_orbit_code': 117093590412296633, 'n': 40, 'trace_an': 100600}
-
id: 261524040
{'hecke_orbit_code': 117093590412296633, 'n': 41, 'trace_an': -28756}
-
id: 261524041
{'hecke_orbit_code': 117093590412296633, 'n': 42, 'trace_an': 0}
-
id: 261524042
{'hecke_orbit_code': 117093590412296633, 'n': 43, 'trace_an': -6768}
-
id: 261524043
{'hecke_orbit_code': 117093590412296633, 'n': 44, 'trace_an': 64940}
-
id: 261524044
{'hecke_orbit_code': 117093590412296633, 'n': 45, 'trace_an': 0}
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