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mf_newforms • Show schema
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{'Nk2': 1408, 'analytic_conductor': 6.872470560650679, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 11, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 5, 'char_parity': 1, 'char_values': [22, 5, [13], [4]], 'cm_discs': [], 'conrey_index': 3, 'conrey_indexes': [3, 5, 9, 15], 'dim': 12, 'field_disc': 10308899813757554978754533673828125, 'field_disc_factorization': [[5, 9], [19, 2], [31, 2], [20921, 2], [5895809, 2]], 'field_poly': [475277889155161, 66377062242562, 7721283816133, 810233740626, 91377152203, 3212289784, 171079947, 6317266, 371698, -5886, 718, -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': [[3, [404815168303255161, 83410933292525295, 8488442523607038, 456424723595772, 76543472730339, 1714736709702, 21982078431, -95237091, 18257077, -203741, 6121, -44, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 137573171222, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1936, 'hecke_ring_index_factorization': [[2, 4], [11, 2]], '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': '22.8.c.a', 'level': 22, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 11], 'level_radical': 22, 'minimal_twist': '22.8.c.a', 'prim_orbit_index': 3, 'qexp_display': 'q+(-8+8\\beta _{1}+8\\beta _{2}+8\\beta _{3})q^{2}+(5\\beta _{1}+\\cdots)q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '7.2.3.c5', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '22.8.c', 'trace_display': [-24, 44, 220, 534], 'trace_hash': 843081669890944983, 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mf_hecke_nf • Show schema
Hide schema
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-
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{'Nk2': 1408, 'analytic_conductor': 6.872470560650679, 'char_conductor': 11, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 5, 'char_parity': 1, 'char_values': [22, 5, [13], [4]], 'conrey_index': 3, 'cusp_dim': 76, 'dim': 28, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 137573171222, 'hecke_orbit_dims': [12, 16], 'label': '22.8.c', 'level': 22, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 11], 'level_radical': 22, 'mf_dim': 92, 'mf_new_dim': 28, 'num_forms': 2, 'prim_orbit_index': 3, 'relative_dim': 7, 'sturm_bound': 24, 'trace_bound': 1, 'trace_display': [8, -52, 138, -166], 'traces': [28, 8, -52, -448, 138, -600, -166, 512, -7507, -7584, -9013, 4992, 28728, 9872, -76786, -28672, 20594, 49216, 9919, 8832, -37372, -1912, 78428, -38400, 539, 156432, 515945, 78976, 411706, -188496, -288890, -131072, -1505067, 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-41433701408, 98982647428, 75268107008, -79806795446, 63630175520, -117694185376, -99155472384], 'weight': 8, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 17561
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '22.8.c.a', 'source_level': 22, 'target_char_orbit': 3, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '22.8.c.a', 'target_level': 22, 'twist_class_label': '22.8.c.a', 'twist_class_level': 22, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 8}
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id: 17562
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '22.8.c.a', 'source_level': 22, 'target_char_orbit': 3, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '22.8.c.a', 'target_level': 22, 'twist_class_label': '22.8.c.a', 'twist_class_level': 22, 'twisting_char_label': '11.c', 'twisting_char_orbit': 3, 'weight': 8}
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id: 17563
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '22.8.c.a', 'source_level': 22, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '242.8.a.o', 'target_level': 242, 'twist_class_label': '22.8.c.a', 'twist_class_level': 22, 'twisting_char_label': '11.d', 'twisting_char_orbit': 4, 'weight': 8}
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id: 17564
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '22.8.c.a', 'source_level': 22, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '242.8.a.q', 'target_level': 242, 'twist_class_label': '22.8.c.a', 'twist_class_level': 22, 'twisting_char_label': '11.c', 'twisting_char_orbit': 3, 'weight': 8}
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mf_hecke_charpolys • Show schema
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id: 86475
{'charpoly_factorization': [[[4096, 512, 64, 8, 1], 3]], 'hecke_orbit_code': 137573171222, 'p': 2}
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id: 86476
{'charpoly_factorization': [[[404815168303255161, 83410933292525295, 8488442523607038, 456424723595772, 76543472730339, 1714736709702, 21982078431, -95237091, 18257077, -203741, 6121, -44, 1], 1]], 'hecke_orbit_code': 137573171222, 'p': 3}
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id: 86477
{'charpoly_factorization': [[[36822276166242637723210000, 1853849458152217305818000, 56461748300828353696400, 1022671862380014874270, 12816391871611530761, 79690369535128580, 722728849016856, 3671851813450, 12770204046, 5558370, 24441, -220, 1], 1]], 'hecke_orbit_code': 137573171222, 'p': 5}
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id: 86478
{'charpoly_factorization': [[[108718743504361665335047606176400, -1465655598928916448276578226600, 28453248512705104539736526660, -151718607038818183767803130, 994787805678563635104121, -1434868804179556520288, 2011793114959579672, -2949949472130440, 3272506274926, 104759610, -762757, -534, 1], 1]], 'hecke_orbit_code': 137573171222, 'p': 7}
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id: 86479
{'charpoly_factorization': [[[54763699237492901685126120802225273763666521, 36198748903991557656373496289095207885731, 4621596336730447183171529085820471457, -2282521527348562267584781142692283, -682919888535887849774701495117, 58160719275647266218037262, 47422717848968801886118, 2984564525843554522, -1798341508387237, -308438437153, 32047697, 12881, 1], 1]], 'hecke_orbit_code': 137573171222, 'p': 11}
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id: 86480
{'charpoly_factorization': [[[1636548348005821770534713078255318818363632400, 1615850456618534446402935822391483406739000, 1451650957686762001566285383689321305840, 565112603957317028405407477781463220, 112204941412646980583146725908481, 7279702352102661393697073228, 622165709700507374293692, 53609286779876640870, 12291894042506726, 763697371480, 149847533, 1834, 1], 1]], 'hecke_orbit_code': 137573171222, 'p': 13}
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id: 86481
{'charpoly_factorization': [[[2809599209625947911867160442250476670341229575025, -8315215308568099684519818016333190870218018375, 9933428288581696741411072655420425185892540, -2493225205349938692794797545164768584340, 358624338708525000922855758758075121, -34136860229957396709068955717754, 2340393089588485386483716853, -115428666173789926513995, 4276109726010535141, -120946754232385, 2959523897, -49128, 1], 1]], 'hecke_orbit_code': 137573171222, 'p': 17}
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id: 86482
{'charpoly_factorization': [[[15059972932771636246904654033016554349990140190507025, -1941862675358544395035282539992440636832774571550, 177587238325356604655179404507502082165186360, -14263128027710916730639427172327893165635, 1241804062369905353515530514996455651, -39866827640896756985102100727516, 707821081939926773250760323, 4384926137237316891560, 1689658462316248011, -25907881852615, 3450248387, 24453, 1], 1]], 'hecke_orbit_code': 137573171222, 'p': 19}
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id: 86483
{'charpoly_factorization': [[[-12692316112912142217250390016, -471456005396672135673856, 28139133809193288448, 103972363973792, -9994076308, -606, 1], 2]], 'hecke_orbit_code': 137573171222, 'p': 23}
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id: 86484
{'charpoly_factorization': [[[14450600164893163868840919003386497129315350063610000, 11014267510979290100535113144759127188743235735000, 34421569819271133468044231867916835766854105500, -8364920816271415299328559370051775914563250, 875113909972358704011846432719198982025, -42122760230526691264967489820384300, 1199139063937113535784113088120, -24564192510376830811103910, 636149527226689541026, -7652436567384942, 79920243189, -410548, 1], 1]], 'hecke_orbit_code': 137573171222, 'p': 29}
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id: 86485
{'charpoly_factorization': [[[40008858590254483814769715870322667294475330312315104400, -331050177756669700195548202306787409500155237832600, 647849477683954520567130973132278848520872226660, -15871799531197652521304565476123396097469910, 4174616958848705825467591007390556722921, -87347223422467604610485625275601344, 3689994693853489925464261108112, -118166728054527015102902952, 2079319596062103717110, -13273657871153738, 4845414187, 285894, 1], 1]], 'hecke_orbit_code': 137573171222, 'p': 31}
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id: 86486
{'charpoly_factorization': [[[7570967009600759351364432161450759936281399476340346232572460816, -56313313746828824240070238451917709713750882341664634434704, 2869615191256427982061231566211367411463148374685284336, 6650022146130631702481150777791831893676602793434, 226508854869096758608090639057668062681297497, 2877125836729317078763379625424699481124, 16376589741921099160139731072573616, 34831002276387254869535600082, 15726225941342726156014, -42668734634499858, 175672682513, 229440, 1], 1]], 'hecke_orbit_code': 137573171222, 'p': 37}
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id: 86487
{'charpoly_factorization': [[[1568375720000947078714004226944981509934083723016574531554379241801, -5960571924031286256785871147554057144661594325535435920725287, 42786767554078698532102905933068312876746032151332774208, -216167555986028569017784820522297034904636553623616, 1025861492811400773952618558796336555527340353, -1851666590072149146916805505887930534834, 10134403799115732686056514272622117, -17616821659307457132221880891, 31703764786519194706993, 41658719826051811, 424765184133, 838292, 1], 1]], 'hecke_orbit_code': 137573171222, 'p': 41}
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id: 86488
{'charpoly_factorization': [[[1356386489040268692014494413945600, 23781111715854560994434640000, 85939520840433349048960, -249056805821020120, -778598555011, 387349, 1], 2]], 'hecke_orbit_code': 137573171222, 'p': 43}
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id: 86489
{'charpoly_factorization': [[[120654722356284667810230360177078505326029194221796105766575241630982400, -122810299108983193268213991524836468440822074230555686609755585600, 525719842611650830404391759941612732808566509016114077523840, -570548508224260061683279832824818950255929437105463720, 1177712822783523744446565659827073096634253672361, -1015920826586519199764145250142140093603080, 1360169562717925435781492984243116416, -661314565716456318271522777740, 1681419146173506114351386, -689660241509397520, 966529939551, -1107540, 1], 1]], 'hecke_orbit_code': 137573171222, 'p': 47}
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id: 86490
{'charpoly_factorization': [[[1810482750475414695799531643795435470622187244324957661170019767071750400, 3731853166441059534585676742634276292756774849192034982580001203200, 11037251933447238655874946558327621337476865019638833507598240, 12511126907015161181066599578771116894063121068414565700, 17375120686255507471498963695266550798172910477601, 17594499700779224577637246998630760038855124, 14137268210281412335596289808607846452, 4640091044916857515217661684942, 4328525384541335120798430, 4849211083905708928, 5395616029877, 3013626, 1], 1]], 'hecke_orbit_code': 137573171222, 'p': 53}
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id: 86491
{'charpoly_factorization': [[[117471111376067124162616652101876675991642681447688805139429086905408025, -2458663303322384723012306276635891343850265899742351369240880716350, 19665281492189082280827076634008449048525346509019836934735540, 2768218391034001168237293787691483638813430239366640155, 45711495888594454985198167905471889351350516318531, -10386142532546599124185175129760537192238220, 27605719567563313002159694817176312139, 711414261522985160872560260820, 5883617242520728380316551, -4406500318185110165, 6006961298999, -2583885, 1], 1]], 'hecke_orbit_code': 137573171222, 'p': 59}
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id: 86492
{'charpoly_factorization': [[[4703740975862254861492151853070469383008034690810328159715016613849760000, 9613217275595094187322884991308642352160766655328616116259110600000, 14366392569835219095724530332442424044880465958702895337560000, -1114840970600480286663891126753691795725158115069849000, 2936752445808696143158716369984946083492068983825, -17361416965813435678106964598579145803225900, 57287547915752889901689709368906976300, -23745629189744663050018702012610, 21144662880165526774729966, -12198939313110010092, 6400122941189, -418618, 1], 1]], 'hecke_orbit_code': 137573171222, 'p': 61}
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id: 86493
{'charpoly_factorization': [[[-17065712996044219070548587521054883584, -124088748599400046442739810858368, -136676251477842159446563712, -23049083072652080376, 21661942868023, 9177277, 1], 2]], 'hecke_orbit_code': 137573171222, 'p': 67}
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id: 86494
{'charpoly_factorization': [[[1541889176152682676320897983525202400790625286438967898935161321762676256400, 2133120366055912236603442470138984576516546071486665451955242043465000, 76829792423349374904392865595875575435192583758239923642944120760, -292530060133325260000256733211897912623037270762196456004120, 473599866329069992901101251440978565797822933005865641, -336825091451141463289986743886456576035613053600, 157199373763180691287755654154314459349984, -51547707835293646645919462611117780, 12412135060250462311579118866, -2184665598513334394040, 276418796397959, -22870340, 1], 1]], 'hecke_orbit_code': 137573171222, 'p': 71}
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id: 86495
{'charpoly_factorization': [[[388492517416063862856715262760476302437533644025437706094272326154714498237721, -91607845640803459263374128242587268110008941781833387830300580179220081, -364398808065708142479402517006311639034133248269929955810047943000, 180207497337925575643353030996984563101135222071535670129460, 1062759202440429817678762467264187481567183006508823981, 153042815229554660628584653245514042714472438290, 88044821425451787176016970832063018190749, 15416210446198432913836258894732395, 3850394331349151658959685341, 520072375320756424605, 89508236018765, 7374584, 1], 1]], 'hecke_orbit_code': 137573171222, 'p': 73}
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id: 86496
{'charpoly_factorization': [[[94514178586119637609302040243840647534349283261684734443253737342901546410000, 382892760173139715867116156345031244358879341657888821310593460981691000, 726137313646592575209504215114643063608535526856145691964362331100, 659345189364054891980961236926743228489767930961259797232710, 477136139951678800338750592436565343854780250006605481, 122789168852779921334622059663242899899132589936, 22828095603792310700792964189010505618208, 2100154921135064113137064046732080, 922759744540192867409375726, -67029819356504921270, 39825751476467, -4715278, 1], 1]], 'hecke_orbit_code': 137573171222, 'p': 79}
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id: 86497
{'charpoly_factorization': [[[156902827894772364374852817535845986064260623560159123819520874467357697053245025, -42509540293529370771085955417481829492611148920985043339407075638039346400, 35464032115404905610610712550219773852825060805858017425025516894210, -19529054265282527499295552231263301991972958249747406841870525, 6079778364101680592419502850130622553462285773508449611, -282900006796650184307185543388518201315463859560, 40161776220401570498136463935230961802119, -14059866246359041939409295107014730, 3462726650591001684028896601, 803766625636550949345, 171735564182029, 13257515, 1], 1]], 'hecke_orbit_code': 137573171222, 'p': 83}
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id: 86498
{'charpoly_factorization': [[[-3487138611471531589783272550858422079120, 6239602711108542860619733477493360, -457657337838603937880906984, -648852798689808443872, 20389771077159, 17432397, 1], 2]], 'hecke_orbit_code': 137573171222, 'p': 89}
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id: 86499
{'charpoly_factorization': [[[460457942067009063734513574248629903753852213062364994626171748454595760397484481001, 226276712788475031850769868783634208100495076484218210395282563033073597345282, 65627588597207463164815594187398926643848125727411169318913292827168196, 11771590602466503799736005561603226023953280670087485360917902925, 1382257773679500675613374527960653310135642512608602742655, 95253584992264913381486571478431531543504381332792, 5507452923108603156477524774594737651337579, 604914357673748391989719257487691172, 97702822552513943094006660575, 9504314003099802340005, 741130824708191, 28563397, 1], 1]], 'hecke_orbit_code': 137573171222, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 3, 'hecke_orbit': 1, 'label': '22.8.c.a', 'level': 22, 'portrait': 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', 'weight': 8}
-
mf_hecke_traces • Show schema
Hide schema
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id: 23644000
{'hecke_orbit_code': 137573171222, 'n': 1, 'trace_an': 12}
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id: 23644001
{'hecke_orbit_code': 137573171222, 'n': 2, 'trace_an': -24}
-
id: 23644002
{'hecke_orbit_code': 137573171222, 'n': 3, 'trace_an': 44}
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id: 23644003
{'hecke_orbit_code': 137573171222, 'n': 4, 'trace_an': -192}
-
id: 23644004
{'hecke_orbit_code': 137573171222, 'n': 5, 'trace_an': 220}
-
id: 23644005
{'hecke_orbit_code': 137573171222, 'n': 6, 'trace_an': -248}
-
id: 23644006
{'hecke_orbit_code': 137573171222, 'n': 7, 'trace_an': 534}
-
id: 23644007
{'hecke_orbit_code': 137573171222, 'n': 8, 'trace_an': -1536}
-
id: 23644008
{'hecke_orbit_code': 137573171222, 'n': 9, 'trace_an': -3745}
-
id: 23644009
{'hecke_orbit_code': 137573171222, 'n': 10, 'trace_an': -6080}
-
id: 23644010
{'hecke_orbit_code': 137573171222, 'n': 11, 'trace_an': -12881}
-
id: 23644011
{'hecke_orbit_code': 137573171222, 'n': 12, 'trace_an': -1664}
-
id: 23644012
{'hecke_orbit_code': 137573171222, 'n': 13, 'trace_an': -1834}
-
id: 23644013
{'hecke_orbit_code': 137573171222, 'n': 14, 'trace_an': 4272}
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id: 23644014
{'hecke_orbit_code': 137573171222, 'n': 15, 'trace_an': -50174}
-
id: 23644015
{'hecke_orbit_code': 137573171222, 'n': 16, 'trace_an': -12288}
-
id: 23644016
{'hecke_orbit_code': 137573171222, 'n': 17, 'trace_an': 49128}
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id: 23644017
{'hecke_orbit_code': 137573171222, 'n': 18, 'trace_an': 28720}
-
id: 23644018
{'hecke_orbit_code': 137573171222, 'n': 19, 'trace_an': -24453}
-
id: 23644019
{'hecke_orbit_code': 137573171222, 'n': 20, 'trace_an': 14080}
-
id: 23644020
{'hecke_orbit_code': 137573171222, 'n': 21, 'trace_an': 135280}
-
id: 23644021
{'hecke_orbit_code': 137573171222, 'n': 22, 'trace_an': -10648}
-
id: 23644022
{'hecke_orbit_code': 137573171222, 'n': 23, 'trace_an': 1212}
-
id: 23644023
{'hecke_orbit_code': 137573171222, 'n': 24, 'trace_an': -15872}
-
id: 23644024
{'hecke_orbit_code': 137573171222, 'n': 25, 'trace_an': 233893}
-
id: 23644025
{'hecke_orbit_code': 137573171222, 'n': 26, 'trace_an': -2352}
-
id: 23644026
{'hecke_orbit_code': 137573171222, 'n': 27, 'trace_an': 24029}
-
id: 23644027
{'hecke_orbit_code': 137573171222, 'n': 28, 'trace_an': 25216}
-
id: 23644028
{'hecke_orbit_code': 137573171222, 'n': 29, 'trace_an': 410548}
-
id: 23644029
{'hecke_orbit_code': 137573171222, 'n': 30, 'trace_an': -401392}
-
id: 23644030
{'hecke_orbit_code': 137573171222, 'n': 31, 'trace_an': -285894}
-
id: 23644031
{'hecke_orbit_code': 137573171222, 'n': 32, 'trace_an': 393216}
-
id: 23644032
{'hecke_orbit_code': 137573171222, 'n': 33, 'trace_an': -561803}
-
id: 23644033
{'hecke_orbit_code': 137573171222, 'n': 34, 'trace_an': -416016}
-
id: 23644034
{'hecke_orbit_code': 137573171222, 'n': 35, 'trace_an': 40188}
-
id: 23644035
{'hecke_orbit_code': 137573171222, 'n': 36, 'trace_an': 229760}
-
id: 23644036
{'hecke_orbit_code': 137573171222, 'n': 37, 'trace_an': -229440}
-
id: 23644037
{'hecke_orbit_code': 137573171222, 'n': 38, 'trace_an': 559696}
-
id: 23644038
{'hecke_orbit_code': 137573171222, 'n': 39, 'trace_an': 102742}
-
id: 23644039
{'hecke_orbit_code': 137573171222, 'n': 40, 'trace_an': 81920}
-
id: 23644040
{'hecke_orbit_code': 137573171222, 'n': 41, 'trace_an': -838292}
-
id: 23644041
{'hecke_orbit_code': 137573171222, 'n': 42, 'trace_an': -547200}
-
id: 23644042
{'hecke_orbit_code': 137573171222, 'n': 43, 'trace_an': -774698}
-
id: 23644043
{'hecke_orbit_code': 137573171222, 'n': 44, 'trace_an': 30976}
-
id: 23644044
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