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{'Nk2': 24768, 'analytic_conductor': 120.89300486235511, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [43, 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': [387, 1, [173, 46], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 10, 'field_disc': 1201373305394365701035228009799167157496341350400, 'field_disc_factorization': [[2, 11], [3, 1], [5, 2], [1777, 1], [3109, 1], [144851836247, 1], [9773601040669832751913609, 1]], 'field_poly': [-5193030528, -813446208, 933060896, -2085744, -25242488, -1804, 229838, 431, -825, -1, 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, [-5193030528, -813446208, 933060896, -2085744, -25242488, -1804, 229838, 431, -825, -1, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 134218115, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 288, 'hecke_ring_index_factorization': [[2, 5], [3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '387.8.a.a', 'level': 387, '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, 43], 'level_radical': 129, 'minimal_twist': '129.8.a.a', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+(37+\\beta _{1}+\\beta _{2})q^{4}+(13-6\\beta _{1}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 10, 'rm_discs': [], 'sato_tate_group': '7.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '387.8.a', 'trace_display': [1, 0, 122, -2052], 'trace_hash': 1603906887184881455, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '8.350', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '203.453', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '8906.868', 'prec': 27}], 'trace_zratio': 0, 'traces': [10, 1, 0, 371, 122, 0, -2052, 927, 0, -10032, 8888, 0, -16432, 28408, 0, -26669, 48122, 0, -56146, 88940, 0, -100626, 236336, 0, -135016, 166748, 0, -259060, 248818, 0, -430970, -69493, 0, 445522, -298982, 0, -261254, -257662, 0, -671432, 126814, 0, -795070, 620022, 0, -809038, -627080, 0, -1256116, 83117, 0, -3674204, 1612384, 0, -4732974, 4301484, 0, -7268516, 3442492, 0, -5217214, 2500324, 0, -4657369, 1224166, 0, -6810926, 3563486, 0, -2745858, 13935120, 0, -13743720, 1752692, 0, -15817594, 7685750, 0, -9007608, 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mf_hecke_nf • Show schema
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-
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{'ALdims': [26, 22, 36, 38], 'Nk2': 24768, 'analytic_conductor': 120.89300486235511, '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': [387, 1, [173, 46], [1, 1]], 'conrey_index': 1, 'cusp_dim': 304, 'dim': 122, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 134218115, 'hecke_orbit_dims': [10, 11, 12, 13, 13, 15, 22, 26], 'label': '387.8.a', 'level': 387, '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, 43], 'level_radical': 129, 'mf_dim': 312, 'mf_new_dim': 122, 'num_forms': 8, 'plus_dim': 64, 'prim_orbit_index': 1, 'relative_dim': 122, 'sturm_bound': 352, 'trace_bound': 2, 'trace_display': [-8, 0, 530, -1348], 'traces': [122, -8, 0, 7692, 530, 0, -1348, -5136, 0, 14510, 1785, 0, -10349, -14220, 0, 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mf_twists_nf • Show schema
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id: 288521
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 10, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '387.8.a.a', 'source_level': 387, 'target_char_orbit': 1, 'target_dim': 10, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '129.8.a.a', 'target_level': 129, 'twist_class_label': '129.8.a.a', 'twist_class_level': 129, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 8}
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id: 288522
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 10, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '387.8.a.a', 'source_level': 387, 'target_char_orbit': 1, 'target_dim': 10, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '387.8.a.a', 'target_level': 387, 'twist_class_label': '129.8.a.a', 'twist_class_level': 129, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 8}
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mf_hecke_charpolys • Show schema
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id: 813750
{'charpoly_factorization': [[[-5193030528, -813446208, 933060896, -2085744, -25242488, -1804, 229838, 431, -825, -1, 1], 1]], 'hecke_orbit_code': 134218115, 'p': 2}
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id: 813751
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 134218115, 'p': 3}
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id: 813752
{'charpoly_factorization': [[[-13628193942529356550000, 263825635130813010000, 10137310487563416000, 12891740675827700, -858342958192645, -1786355864226, 26520711775, 36441648, -315675, -122, 1], 1]], 'hecke_orbit_code': 134218115, 'p': 5}
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id: 813753
{'charpoly_factorization': [[[-6807180157026493337716850208, -149521071180415424636203560, -708933859831969379756748, -656491371928244207478, 2075270351485501497, 3819965877611176, -981201573821, -5074350894, -1384305, 2052, 1], 1]], 'hecke_orbit_code': 134218115, 'p': 7}
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id: 813754
{'charpoly_factorization': [[[175082463364407391433532001015327104, -179221731585570380517132025252296, -73769521343398007417726634549, 101188018670965369750384644, 95076783501013653990, -15127985859430008568, 1299944135802460, 719054902308, -76304990, -8888, 1], 1]], 'hecke_orbit_code': 134218115, 'p': 11}
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id: 813755
{'charpoly_factorization': [[[5813282335505979446267118135172983900, -10627761806013172848032940212455200, 6192342526731698845926361229193, -701504243171877840228685152, -439567483417083793998468, 95289940782293599760, 9467770107631358, -2267200569664, -131350496, 16432, 1], 1]], 'hecke_orbit_code': 134218115, 'p': 13}
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id: 813756
{'charpoly_factorization': [[[-2558292996065961503026539040119332085504, -2338427235647892935164626465592147200, -472802489173386283334235246351360, 73016739427362610947064598592, 21149971281159758390035296, -1398111916119343811664, -264574021148378736, 22795637913068, 109565137, -48122, 1], 1]], 'hecke_orbit_code': 134218115, 'p': 17}
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id: 813757
{'charpoly_factorization': [[[85537321071129317987655314838103536571328, -156477864651334914826145129971186592768, 82360778139502708459825247859692740, -8353146540598018766603121355940, -1446287515790999374385568147, 107396484733013182856762, 3375958198675245131, -152238709421384, -3025397661, 56146, 1], 1]], 'hecke_orbit_code': 134218115, 'p': 19}
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id: 813758
{'charpoly_factorization': [[[-34530943313063683894204795781493690055455558656, -5420780301959208390854203906235398372153728, -171246149306083119171787277886485936960, 6195397827024833817464404094577824, 239171640606108915225097318256, -4175593256941419312436872, -93810725725855025356, 1649861708646654, 7895915633, -236336, 1], 1]], 'hecke_orbit_code': 134218115, 'p': 23}
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id: 813759
{'charpoly_factorization': [[[1987400232169775800055692164188914417691798221056, 423412982408865164135446471878751102992486720, -65256692828858965803955872555569915111196, 1882202784254499755036883917676311712, 995587398034462385183564244279, -381235195875762242820354834, 1375204444043639538219, 18259176779755564, -73193133527, -248818, 1], 1]], 'hecke_orbit_code': 134218115, 'p': 29}
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id: 813760
{'charpoly_factorization': [[[232802669153859049936569977387535008622421282291712, 26582858171257708896056135294872475132464713728, -357349212116455027857288299951956372444160, -34018548833465016278501587093289407744, 25683177511217800389903144849600, 2600199108820971859975267648, 2658802353546410564048, -60701959823336620, -113069920719, 430970, 1], 1]], 'hecke_orbit_code': 134218115, 'p': 31}
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id: 813761
{'charpoly_factorization': [[[64499882468661502189485923824826128282329850962247680, -4316034497606972344686304300348884118338944040960, 25578185149065605877944532383706338296135680, 284188041201791743880542530675858604032, -2367003179107938228517725791514624, -2909582963305536266422439936, 52451245277521606891264, -32016506637067600, -376117650600, 261254, 1], 1]], 'hecke_orbit_code': 134218115, 'p': 37}
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id: 813762
{'charpoly_factorization': [[[-1140455426977429097523811455809434476253362079793152, -1383971747345232539624163918086767953230366244864, -66669131738386094790553829569330683664855040, -1064491097737664189018461816924905377792, -5651171693147397226958909853314944, 6200816898372756648288144768, 111548215060558262496220, 53364882621876360, -675582818659, -126814, 1], 1]], 'hecke_orbit_code': 134218115, 'p': 41}
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id: 813763
{'charpoly_factorization': [[[79507, 1], 10]], 'hecke_orbit_code': 134218115, 'p': 43}
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id: 813764
{'charpoly_factorization': [[[4258093793392045435715832300273965725922307287605653721088, 71822342716629975917114760203610112589288121270344064, 109203730885352173232212196423612064679662821856, -708654221140308597396449466282508050892394, -1311140744628828411594315309576335089, 1803049625259911777119356250020, 3321944351235934706525671, -1793143918827392634, -3126895442391, 627080, 1], 1]], 'hecke_orbit_code': 134218115, 'p': 47}
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id: 813765
{'charpoly_factorization': [[[358574941897782177092929623370922273773521780621453557760, 2699910522492620000624734762786450521266968697241600, -42713255887944797944752398327558626682147962880, -70236474636402575521386635632723905134592, 1572050046420143347573025730011754496, -4288420715654198804499011876992, 1856716129160512892401952, 5207864895512924402, -3489801926147, -1612384, 1], 1]], 'hecke_orbit_code': 134218115, 'p': 53}
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id: 813766
{'charpoly_factorization': [[[-3833510567831544220889903460614039436555491968492469877669888, -9280713342864050681190968221336369949984888725398896640, 22035252255960754581177659367424273642545060787200, 43871553352242387479175229444725899319403008, -31785878813018996715261079414927631040, -55808136219530106899676348788928, 20573521667616942365837232, 25540337460675211264, -7185266242452, -3442492, 1], 1]], 'hecke_orbit_code': 134218115, 'p': 59}
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id: 813767
{'charpoly_factorization': [[[3595260600222712973245134271517364605668637916504488341798912, -5673053051809641614505181633523120111142857264109666304, -75730438850871385471900552203842276214446061371392, -69309532310018376735857787853625372793101312, 89853283302635378004165065360695562752, 91376012154866970568613872317824, -28733514007655119355164736, -38143298103052724880, -730523490888, 5217214, 1], 1]], 'hecke_orbit_code': 134218115, 'p': 61}
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id: 813768
{'charpoly_factorization': [[[-490685080182002368008229082720432440845583666458915540022272, -4618446275803248080606771310072643651222003301040990720, -12728166214472457564148043856880370648135440615488, 1506757318215075825789880685037138441962688, 50790169863863463293964215911735304688, 38208473544259096409652262968480, -50206364552557537565822604, -44133532409946104756, 3658419261253, 6810926, 1], 1]], 'hecke_orbit_code': 134218115, 'p': 67}
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id: 813769
{'charpoly_factorization': [[[46885639589734497171862110018856748251242521947608499697156096, -626591779097286551081290779128197581011626654999805585408, 1920610265331398017165604357171955228324001592606464, -1134224840361674646978038193569507350055331840, -1999864602356655423194857915330806070912, 2914718106168713018434041619454592, -1291560335516103754822960256, 139645569519995848640, 48537912699656, -13935120, 1], 1]], 'hecke_orbit_code': 134218115, 'p': 71}
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id: 813770
{'charpoly_factorization': [[[914126938961428411677904476294142725615768056390382767666552832, 4389861672776765398872906233655722259458577867784690513920, 6851528578988372021032361738289185765774694982171904, 3844037575525999223182220621091500555089931264, -538686513635469461866636710811868296960, -1500488056916482194692717006659584, -516556589945589635537554912, 38806035174144781248, 61932581371792, 13743720, 1], 1]], 'hecke_orbit_code': 134218115, 'p': 73}
-
id: 813771
{'charpoly_factorization': [[[-177461700142481609321700438013414374420979391976895051364946673664, 198315764763454020896980031435991566191763758412028187770880, 135046483773430983756581660358695393905632978017320960, -136297115572397061648213497596745335798719397888, -18870271308348616140870807982516217505792, 17186782735551386051500882315323392, 1831338619059786253174050432, -706850642231304815360, -76216193963304, 9007608, 1], 1]], 'hecke_orbit_code': 134218115, 'p': 79}
-
id: 813772
{'charpoly_factorization': [[[-198816236507562022707415396137568774876751849068842771675516250944, -143414702926384379968876195003792174062423381762748319437740, 1584139999921103614767765046710528098795003885621500371, -1310779449745167133530113593007018132827206320664, 333661405590305441225254953271626397353846, 5330280480214855581068754575388828, -14519865163305926901207174492, 1724723493586884514928, 63666654930146, -21779128, 1], 1]], 'hecke_orbit_code': 134218115, 'p': 83}
-
id: 813773
{'charpoly_factorization': [[[-310009563713778420809884085362168826407876370535860459338709917696, 826065422388354709079685143882992971429185940549987355623424, 1570572913084556318019044693990326422642168220577477632, 56688448661421049543535434664273712084471972864, -318609343444677587853648165419424771055744, -9121442557451090019135127998256128, 16543438931741337883485751600, 431129654345570101328, -251004101098744, -1895364, 1], 1]], 'hecke_orbit_code': 134218115, 'p': 89}
-
id: 813774
{'charpoly_factorization': [[[-28758996525099760129276648752896561816925969304997334869645447689636, 10746198406618100705208903761420103429902112504280105879232864, 21068115319742830733793060709728757314504166641761483337, -9305363502837720745398841459828258541806599385768, -914797267627484002346439702542944888285748, 434837710124518130964711823187695000, 20539134921792742812090098718, -5455303903750887939832, -243479865060112, 20434472, 1], 1]], 'hecke_orbit_code': 134218115, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 1, 'label': '387.8.a.a', 'level': 387, 'portrait': 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', 'weight': 8}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 3604260
{'hecke_orbit_code': 134218115, 'n': 1, 'trace_an': 10}
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id: 3604261
{'hecke_orbit_code': 134218115, 'n': 2, 'trace_an': 1}
-
id: 3604262
{'hecke_orbit_code': 134218115, 'n': 3, 'trace_an': 0}
-
id: 3604263
{'hecke_orbit_code': 134218115, 'n': 4, 'trace_an': 371}
-
id: 3604264
{'hecke_orbit_code': 134218115, 'n': 5, 'trace_an': 122}
-
id: 3604265
{'hecke_orbit_code': 134218115, 'n': 6, 'trace_an': 0}
-
id: 3604266
{'hecke_orbit_code': 134218115, 'n': 7, 'trace_an': -2052}
-
id: 3604267
{'hecke_orbit_code': 134218115, 'n': 8, 'trace_an': 927}
-
id: 3604268
{'hecke_orbit_code': 134218115, 'n': 9, 'trace_an': 0}
-
id: 3604269
{'hecke_orbit_code': 134218115, 'n': 10, 'trace_an': -10032}
-
id: 3604270
{'hecke_orbit_code': 134218115, 'n': 11, 'trace_an': 8888}
-
id: 3604271
{'hecke_orbit_code': 134218115, 'n': 12, 'trace_an': 0}
-
id: 3604272
{'hecke_orbit_code': 134218115, 'n': 13, 'trace_an': -16432}
-
id: 3604273
{'hecke_orbit_code': 134218115, 'n': 14, 'trace_an': 28408}
-
id: 3604274
{'hecke_orbit_code': 134218115, 'n': 15, 'trace_an': 0}
-
id: 3604275
{'hecke_orbit_code': 134218115, 'n': 16, 'trace_an': -26669}
-
id: 3604276
{'hecke_orbit_code': 134218115, 'n': 17, 'trace_an': 48122}
-
id: 3604277
{'hecke_orbit_code': 134218115, 'n': 18, 'trace_an': 0}
-
id: 3604278
{'hecke_orbit_code': 134218115, 'n': 19, 'trace_an': -56146}
-
id: 3604279
{'hecke_orbit_code': 134218115, 'n': 20, 'trace_an': 88940}
-
id: 3604280
{'hecke_orbit_code': 134218115, 'n': 21, 'trace_an': 0}
-
id: 3604281
{'hecke_orbit_code': 134218115, 'n': 22, 'trace_an': -100626}
-
id: 3604282
{'hecke_orbit_code': 134218115, 'n': 23, 'trace_an': 236336}
-
id: 3604283
{'hecke_orbit_code': 134218115, 'n': 24, 'trace_an': 0}
-
id: 3604284
{'hecke_orbit_code': 134218115, 'n': 25, 'trace_an': -135016}
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id: 3604285
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{'hecke_orbit_code': 134218115, 'n': 841, 'trace_an': 35797901088}
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id: 3604495
{'hecke_orbit_code': 134218115, 'n': 853, 'trace_an': 32480083008}
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id: 3604496
{'hecke_orbit_code': 134218115, 'n': 857, 'trace_an': -60527213564}
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id: 3604497
{'hecke_orbit_code': 134218115, 'n': 859, 'trace_an': -17562490634}
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id: 3604498
{'hecke_orbit_code': 134218115, 'n': 863, 'trace_an': 33694683040}
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id: 3604499
{'hecke_orbit_code': 134218115, 'n': 877, 'trace_an': 56095304054}
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id: 3604500
{'hecke_orbit_code': 134218115, 'n': 881, 'trace_an': 48613548946}
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id: 3604501
{'hecke_orbit_code': 134218115, 'n': 883, 'trace_an': -41604644422}
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id: 3604502
{'hecke_orbit_code': 134218115, 'n': 887, 'trace_an': 2163719972}
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id: 3604503
{'hecke_orbit_code': 134218115, 'n': 907, 'trace_an': -47356825186}
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id: 3604504
{'hecke_orbit_code': 134218115, 'n': 911, 'trace_an': 71070889672}
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id: 3604505
{'hecke_orbit_code': 134218115, 'n': 919, 'trace_an': -107243100750}
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id: 3604506
{'hecke_orbit_code': 134218115, 'n': 929, 'trace_an': -106155639030}
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id: 3604507
{'hecke_orbit_code': 134218115, 'n': 937, 'trace_an': 17211990024}
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id: 3604508
{'hecke_orbit_code': 134218115, 'n': 941, 'trace_an': 50812717060}
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id: 3604509
{'hecke_orbit_code': 134218115, 'n': 947, 'trace_an': 98748486864}
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id: 3604510
{'hecke_orbit_code': 134218115, 'n': 953, 'trace_an': 83359761534}
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id: 3604511
{'hecke_orbit_code': 134218115, 'n': 961, 'trace_an': 136748841228}
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id: 3604512
{'hecke_orbit_code': 134218115, 'n': 967, 'trace_an': -63869077370}
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id: 3604513
{'hecke_orbit_code': 134218115, 'n': 971, 'trace_an': 139643957734}
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id: 3604514
{'hecke_orbit_code': 134218115, 'n': 977, 'trace_an': 17845046912}
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id: 3604515
{'hecke_orbit_code': 134218115, 'n': 983, 'trace_an': 45553967216}
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id: 3604516
{'hecke_orbit_code': 134218115, 'n': 991, 'trace_an': -142584457840}
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id: 3604517
{'hecke_orbit_code': 134218115, 'n': 997, 'trace_an': -23012287386}