# Stored data for newform 175.10.a.f, downloaded from the LMFDB on 10 February 2025.
{"Nk2": 17500, "analytic_conductor": 90.1312713286778, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[5, 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": [175, 1, [127, 101], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 5, "field_disc": 20640809603908344224, "field_disc_factorization": [[2, 5], [11, 1], [31, 1], [347, 1], [503, 1], [10837395197, 1]], "field_poly": [-2721600, 583584, 7420, -1694, -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, [2721600, 583584, -7420, -1694, 2, 1]]], "hecke_orbit": 6, "hecke_orbit_code": 22517998304624815, "hecke_ring_generator_nbound": 3, "hecke_ring_index": 40, "hecke_ring_index_factorization": [[2, 3], [5, 1]], "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": "175.10.a.f", "level": 175, "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": [5, 7], "level_radical": 35, "minimal_twist": "35.10.a.d", "prim_orbit_index": 1, "qexp_display": "q-\\beta _{1}q^{2}+(-28-\\beta _{2})q^{3}+(168-4\\beta _{1}+\\cdots)q^{4}+\\cdots", "related_objects": [], "relative_dim": 5, "rm_discs": [], "sato_tate_group": "9.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "175.10.a", "trace_display": [-2, -140, 0, -12005], "trace_hash": 1537888318714310696, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.563", "prec": 17}, {"__RealLiteral__": 0, "data": "0.830", "prec": 17}, {"__RealLiteral__": 0, "data": "59.108", "prec": 20}, {"__RealLiteral__": 0, "data": "52.053", "prec": 20}, {"__RealLiteral__": 0, "data": "1180.549", "prec": 27}], "trace_zratio": 0, "traces": [0, 5, -2, -140, 832, 0, -144, -12005, 14136, 67797, 0, 10312, -63388, -158638, 4802, 0, -526696, -31614, -1816986, 1655376, 0, 336140, -3659464, -796104, 6504576, 0, 10219060, -4190732, -1997632, -3353726, 0, 2678120, 130400, -20444132, 21548612, 0, 15390460, -50994846, 34907600, -18124, 0, 6330194, 345744, -6149468, -71225892, 0, -142845472, 6897780, 46423032, 28824005, 0, -17970212, 22199468, 70886738, -113279328, 0, -33940536, 355886264, 31955924, -152335168, 0, 257015698, 215582768, -162780597, -193988432, 0, 183241664, -133467828, 268709380, -191957336, 0, 522788960, -221927400, -159370858, -244178868, 0, -345056616, -24759112, -1164346496, 464174900, 0, 865150989, -308947620, -2207636832, 152194588, 0, 694560616, -2952845788, -930528736, -1106708326, 0, 380889838, -205160216, -767757392, -3602501744, 0, -2652128640, -1956142254, -11529602, 698312668, 0, 1418105874, 6346235328, -2608020996, -1705921904, 0, 2000046332, 2066331020, -3636743956, -1992091014, 0, 2809619800, 1264597096, -2095019962, -15251925536, 0, -6023731508, -1747184138, -821306816, 75905214, 0, -324927139, -2283847556, -703084768, -12044402064, 0, 4362583386, -211464056, -2512186752, -5014685320, 0, 4352863968, -9376631052, -3974557776, -11596579768, 0, 5560793424, 2829241270, -2676152928, 6452809312, 0, 12205116340, -6325647680, -15108992140, -29786955328, 0, 16853645572, -807072140, -25443662928, -1962771218, 0, 670724788, 11730161344, -47158095458, 8786373064, 0, 21962706092, -31851662146, 15450449616, -46101947552, 0, 1911445704, -10690716114, -17217735396, 11856761784, 0, 18836387040, -1111959348, -15617486976, -2010311417, 0, 15680299224, 19766843592, 32976628218, -989650464, 0, 9522992168, 54380374944, -53417338356, -68626255388, 0, 26951838850, -24535963060, -915638736, -18666690048, 0, -110765683232, -6525009364, 2557251268, 10061947532, 0, -61732435140, 19450680720, 23479498830, -43373392700, 0, 4796314432, -62933772622, 25614446456, 60054400384, 0, -138215015888, -85282951700, 8052296126, 20652618804, 0, 82122217312, 166058032624, -8474591176, -65722664312, 0, 35180025232, 26160683576, 16515853376, -51314481224, 0, 52294461120, -6430166120, -22936886316, 48021597144, 0, -37245796512, -4672026560, -39483426548, -313090400, 0, 81091056868, 87224561292, 151413432712, 119211319106, 0, 49086360932, -174633181680, 59595433510, 226300038628, 0, -57705386240, -137646885276, -51738217412, -6358026452, 0, 14385153122, 137971362582, 148841411224, 375906507048, 0, 71653419840, 126463160552, -137276744000, 147843252880, 0, 32560813696, -36952494460, 90704358008, 95489178800, 0, 19342968096, -125038624034, 117342851744, 122438625246, 0, -66802885930, -112046968784, 373033069232, -84419468608, 0, -83813147600, 112365967232, 49826084064, 124222917922, 0, -100139068064, 314610849480, 43515724, 132077646868, 0, -287560306536, -264126803750, 446335018608, -44901498760, 0, -360238929274, 255245609888, 112661568540, 111057865728, 0, 67164525008, -15198795794, 497089003872, 287978929043, 0, -340568533620, -94114584576, 10311836650, -830131344, 0, -79666696784, -85684042220, -261249422988, -146080337880, 0, 14764872668, 596605283600, 454422099992, -153084510832, 0, -23881944012, 175645031972, 171013366692, 434040883652, 0, -283823127056, 146935906624, -329936540590, -138568285868, 0, 263642250788, -640324630350, 970192291552, 767008507876, 0, -294948211240, 342971978272, -538994441768, 9673307872, 0, 23443503544, -229778289780, 56740896624, -16561569780, 0, 330098908260, -354904890512, -1399073261166, 611688660800, 0, -111461699832, -786687540746, -398014034638, 119424417512, 0, 606129739280, 361634410096, -69206436005, -169929519328, 0, -158204423468, -305800269532, -292135108980, -304956515406, 0, -15637189684, 585194764032, -403148691142, 338710268672, 0, -507548112168, 43146479012, 559868611160, -743361215480, 0, 1242009870961, -510001180260, 500091094096, -53300922668, 0, 1736887098624, -132805114628, -1059310266576, 536063918042, 0, -170199057938, 697521942640, 191102721570, -1906015065584, 0, 890455255808, 114921469272, 271983666528, -1672875228460, 0, -479107641888, -491654173552, -1236473895304, -1754514935040, 0, 269519550756, 32628673468, -488304909964, 604049741266, 0, -2486144841672, 81491226936, -536256032008, -1031226408196, 0, 2239485692280, -1007648746950, -354229563904, -854482919864, 0, 851372889398, 2727261364032, 882249528704, -1417858998448, 0, -76726173524, 1437432101280, -2163287897664, -1388842045446, 0, -2443953559072, 1608827957140, 365756738368, -1643528188032, 0, -918662594880, -3594597967640, 480494518176, 159020331264, 0, -806341842902, -1559360214504, 935341109728, -1179253589264, 0, 1778756460544, -617094690898, 849116894376, 998306468468, 0, -1225855018844, 210051354024, -1857660839690, -517614225968, 0, 132290184436, -1206850656176, -4458843610144, 707885787680, 0, 390836213397, -221601155464, 1101818154700, 669152066360, 0, 5638086403840, -156212706744, 465766225232, -544342277602, 0, -441806474312, -1742398608624, -3365631596572, -3460651784864, 0, 4982793848320, 842868025590, -4510494991428, -3049738582076, 0, 111526348042, -439963235264, 1804181811392, 1250379877880, 0, -1486670759244, 1353739838068, -4640219484272, 320456255028, 0, -2461238181720, 2596616888576, -1273576223624, 1808336577856, 0, -645171221380, -2489700728006, 559003438208, 3252230803408, 0, -1121424507516, -512648906932, 460889563736, 1684025054620, 0, 2585865933264, -185714439192, 2777371556592, -696474693720, 0, -2809501206328, -1069615230576, 130207916144, -395060594944, 0, 1272678078048, -1255216292960, -1725802820288, -5532014343304, 0, -968433532796, 5593101238864, 644673331164, 532847687400, 0, 5212019810080, -4571649189976, 6049624287712, 2206519277234, 0, 382649430058, -3592500534272, 5344960159208, -5196604175980, 0, -34400059480, 1785883544748, 586273462068, 1330344441468, 0, -2068570262438, 11372014768548, -433318250280, 6861330363512, 0, -667897512976, -3756990947680, 4097279178008, 1679538579389, 0, -9751118983392, 828480935016, -592148688228, 3803763483456, 0, -5494086470112, 1141651012048, -198656788212, 59446627912, 0, -6099183565910, 3424123564064, 2878599956256, -4870499501888, 0, 2795595936896, 2980859309588, 6702928934632, 11057706549514, 0, -4831250132568, 2786049854976, -1114483934900, 7268084215644, 0, 3400830884200, 1864383966570, 18055561653904, 2934446507584, 0, 801935129660, 1183515841772, -1631487149400, -5427690594276, 0, -396207760304, -2077227524589, 4862406738688, 4452488651362, 0, -5590117516012, -2148331023900, -12509465307812, 741783235620, 0, 9178004673632, -11492048378270, 5225035946042, 7747153854912, 0, 5300536033632, -841288496576, 6340578106456, -2309960813680, 0, -1911088976364, 85583406752, -365419205788, 12618138349312, 0, -65532068656, 13041209659024, 1857795248850, 12925105835072, 0, 8657882292656, -2284857667360, 3268564829984, 908650400852, 0, -2505615254846, -1667640039016, 9209860203276, 4856382939428, 0, -10483621585728, -13337190561660, -10871762012416, 7089782736988, 0, -13520066187388, -2032519970304, -4214423210318, -3280356048832, 0, 2234199495136, -13079628504690, 4360116705696, 11129278115576, 0, 5995284653560, -6822214418608, 2657206690726, 376870150952, 0, -3368031781100, -420761276264, -2481488292720, 7849395262724, 0, 3604456410660, -3362537470208, -13113002813052, -7578820367444, 0, -6320523270000, -914516501038, 11180686010864, -140771220064, 0, -12354055379222, 21733591974400, -7241428528940, 492589678616, 0, 16806473089984, -1563345726512, 7563181200888, -167965671584, 0, 1843385498192, 16263007636376, 18943350062474, -11129007202272, 0, -4755841567040, 2477111824502, 8649606687344, 6335505440368, 0, 728401330554, 16037202413656, 17256970686852, -3115924862336, 0, 27159101571196, -1107464543512, -1628143590860, -219587903804, 0, -21695711485784, 6367760864640, 525015861246, -1731771455132, 0, -4977330620372, -7947758672870, -35217563987264, 4696697551854, 0, -10654366483052, 23383146604256, -17523192141548, -20585462166352, 0, 27682574402, 919673111872, -3098745994224, -5502074516516, 0, 28196508090840, 13381167681972, -1676648715868, -16553884903832, 0, -8101559851584, -2643561574484, 14010149327628, -38249058358448, 0, -15488681212926, -20979051494624, -16157478308320, 2675105146544, 0, -13480315005644, -3404872203474, 8167156269696, -8561254182726, 0, 250269790480, 4229523420720, -8069832203200, -15237311022528, 0, 7037147908896, 16362661104564, -26966550114448, 4199063622128, 0, 6261858411396, -37279363576730, 26029961840216, 13900272580728, 0, 23156687252144, -9865193022272, 4095918491504, -39209266799367, 0, 5207859266512, -15518800846496, -3715058567286, -4628244700224, 0, 30616607358976, 25265442829024, -18314629131636, 16557117297408, 0, -57429013218808, -4802111243132, 6535646912384, 17701065804160, 0, 15149076848188, -43669225177328, -42964703891844, -4961260779020, 0, 46016960915100, -2370729652296, -42914644665704, -2534155609928, 0, 8731822238356, -22237193222326, -22888022809032, -9388147276792, 0, -19076024895446, 29051735162752, 4783010524614, -7169701787396, 0, -1885345813328, -16835038345120, -12790262973472, -13056236545918, 0, -4395753464120, -35227964514328, 183078273986, 116921720744, 0, -28438756421552, -6745897139800, 4420791624260, -7889837109104, 0, 7245395873856, -22148280395552, -26588378827684, -3036297627496, 0, 107291620490208, -34791129604, -43409594650680, -15614489264168, 0, 5030142928762, -6386150374048, -3374056392692, -45909790229036, 0, 31376797645376, 36165867184490, 36619873211936, -4771247507508, 0, -10210276700830, 3860512825020, -27435205990800, -49663556449264, 0, -17945755822272, 39058603953960, 18978722631216, -8047752980322, 0, 8392321911064, 14462979350708, 84324463491136, 53012777924944, 0, 17763022994456, -16276261590256, -45684720588548, 4194989115338, 0, -47761483299574, 59570368596032, -50095534209624, 17622673846080, 0, 1971957665216, 3087876924844, 37748736035760, -25131390140254, 0, 64980430120392, 31949550543440, -182248418814, 19340813597568, 0, -57846875717736, 15009445599760, 23531781248608, -34437469395208, 0, 27549432304631, -56073096663500, -37282416611212, -33440899525692, 0, -91101862976368, 780150060739, 18756416393920, -86537277847828, 0, -18450380334160, -17175601643904, -24274825470922, 5483517981956, 0, 14074803230560, 4667746275406, -58681368266656, 19325150497976, 0, 1688106527968, 18447361414560, 58930186197520, -16781047797120, 0, -31810717175100, 82413362133816, 28918609355664, -4463428038180, 0, -27989210920840, -32594494240368, 52096326556094, -20913581940992, 0, 50731646898488, -23662096540950, 7052867276432, 57307412536172, 0, -86816278131902, -10474562709786, 51171802087628, 45251355802068, 0, -45149499865512, -31927398926064, -95179334489984, 507725198456, 0, 12739053753064, 45910782040052, -30720340138152, 34001287363808, 0, 6031760391552, 20654526006744, 83226476636124, 94801240091168, 0, 86508565738348, -16634380843696, 12040259453320, -36715896902384, 0, -21526643809152, -16012161613796, 38471382952564, 39247984976450, 0, 99164928971616, -85266796239120, -31694920685456, 26303123705588, 0, -29506566228264, -10451226387168, 31057472827104, 21359751338268, 0, -2685555179284, 30928122850924, -63003982762496, 22513291155852, 0, 73730544946400, -71882921306312, 27929700660160, 27088722610506, 0, 9542913220176, -36120201424776, 75391723728280, -34572074282368, 0, -49008238331888, 114349538168194, 27843388022968, 140637963945508, 0, -7596701747646, 38952339909152, 24748646711104, 78217509607168, 0, -38883696647552, -18883422718828, -3151170220292, 98046319564636, 0, -44724998270840, -13351465011024, 52392109336214, 36255721020172, 0, -104102375649388, 51062341356580, -149747984902192, -6793008289270, 0, 77409579322949, -139722228810776, -14663661205564, -7222289456816, 0, 6425443180128, 50372273880744, 50809945466072, -69055949679016, 0, 5191610510576, 57117368522912, -15493195158112, 127597237907264, 0, -117036907205792, 14837437400134, 148720110179008, 65688261749176, 0, 120356626999654, 60805341097480, -41962954708476, 9279564219648, 0, -226620691534952, -29304484332340, 105816379301608, -7037662599152, 0, -39064470141928, -40658505444352, -57492389166960, 15187880079680, 0, 78979414476624, -13048660007542, -18783912869832, 69471432348088, 0, 36276690128140, -85467761423712, 106927781911840, 100386967562904, 0, -45351037563920, -120349595333264, 71518479742528, -114080230900138, 0, 103033331625704, 206830709635656, 32468808024838, 86689107548112, 0, 3687316401856, 42577729044086, 161719566412716, -95879674730996, 0, 1299421132994, -40465603018372, 83974114502576, 1877931893184, 0, -286877695724384, 28389321385364, -87715393064880, 1937780208140, 0, 3825408436372, -11160342967552, 80732946131998, 11092073039936, 0, 61090234690128, -14012167117380, 208759768882816, -5501239449072, 0, 81584366627320, 24089122163868, 4712613694418, 90208328463696, 0, -46822570772368, 195242010547528, 95692517226048, -151784363703030, 0, -24914017185648, -28864597626952, -87518639523518, -190569842787584, 0, -48923922883200, -1610410215988, 51888615948206, -75728133226996, 0, -85973536784190, -18634488422848, -159261451036152, -28164117386944, 0, 43391859860680, 68678969589628, -76575213143280, 42190190337474, 0, 113226587194658, -49669567530272, 116604306350340, 111207795930560, 0, -91785698122240, 156520800062848, -21096081726664, 118352494737712, 0, 104078298804744, -238851433504892, 33999224607412, 22267391721280, 0, 318825018768224, 41602172073400, -284652768826064, -248270609692479, 0, -92292662044304, -52732457326892, -634033932542, 94092896324536, 0, -58046857575856, 77326956882550, -486322203725076, 76475840812546, 0, 249205942435988, 143059820722752, 68961316555480, -131269911856, 0, -37096529528016, -18044373810544, 44441156369824, 150144583830746, 0, 106352453007136, -139847863445184, 110690776072352, -135850262433876, 0, -23452867840192, 62432777819306, 35610309829008, -46839112419040, 0, -23820466392896, -147309515080160, -25611706073252, 47744878064796, 0, -34751376974128, -4589381135304, -46956095656768, -69158890670914, 0, -56634201320964, -159521937044, -252433790430276, 25668409389714, 0, 8484241147648, 56564367517872, 12814564402444, -33287562264520, 0, 41339782685796, -363707914795464, 75077406382280, -69852082714624, 0, 188980463011200, 111896949033136, -28468085043384, 7435149488080, 0, -218597673862984, 7030875139968, -80638217236930, 59504809999060, 0, 51376745613804, -184786098442068, -433316534987712, -97870167439184, 0, -110027444654968, -45226165283040, 11929953545580, -117170326938172, 0, -218018184872400, 118857335102524, -46190024234800, 2669814394548, 0, 133469196345136, -276803825218556, -258640792402360, -182772226993920, 0, 37497586229376, 105843834400536, -167766217122240, -170971754566168, 0, -17036286902790, 70430713594112, 4826757712217, -70998702383936, 0, -3387846560972, -57485160648948, 80377855663548, -74349287096644, 0, 191486911941212, 13061898547280, -72027800708838, -55978556328000, 0, -288945263277960, -37648398436824, 279144503078144, -56896615923332, 0, 181318161593598, -36495087936020, 9149147287868, -47460191464392, 0, -69103061554776, 152968231063168, -191387920547328, -468580749776656, 0, -79176884351418, -49690655405736, -88527244580958, -13024381529312, 0, 254342157748960, 98150267330810, 2376150764064, -205351763944352, 0, 313228030788648, 34631662266944, 235840902826500, -234443414208432, 0, 87517989709516, 417002578816984, 64783275591788, -2215951748602, 0, 37335127127280, -22864704195368, 63972772145486, -37825536866540, 0, 200443408645292, -137411780194914, 50087951314752, -130567280240544, 0, -222530060412804, 206219385653856, -83972741596032, 171273536194392, 0, 128255029392756, -1381303350656, 228609861103488, -83379281609510, 0, -45753047409064, -65540361916532, 164771639186588, -255291102360096, 0, -235352216418352, 221874994214928, -362753926188600, -212768943844760, 0, 59164370707344, -255007792694688, 499416904471308, -35861269066632, 0, -266202740530816, -64711365078850, -202435167581600, 195646309643068, 0, -162051754551024, -170574002699648, -584404320483392, 58910847307060, 0, 236356537857924, -129582435117022, -414930767873600, -26155221137968, 0, 2198448605136, 444535334339196, 24511278591444, -211526895065496, 0, -241378667639504, 83307115501664, 44818722805248, 308190801106098, 0, 54728150817624, 124160928130264, -21154341173620, -9885550892320, 0, -6181048336360, -437080985791650, -9451446467072, 208551181275128, 0, 119127712817618, 265948405440032, 253272269795184, 36151754649184, 0, 154321265290556, -270505396744044, -50707363470236, 15666547482964, 0, 563103963494768, 90484190323392, -311703808984092, 462051065517428, 0, -6139960294468, -418894381071272, 216193472738120, -329103330229616, 0, 331045248801858, 416517532162956, -24158736024332, -98401095845696, 0, 89452840157312, -73209851787208, 303305244283296, -37884705337640, 0, -202227625574172, 38339418263800, -151617080328736, 628251395560672, 0, -133451552470848, 148219576771140, 117509975578720, 330193559407076, 0, 501429896824830, -693758012345200, 176815386229244, -46701084408720, 0, -579681569864828, 136626530465828, -344135716519056, -7667950288768, 0, -56374276690830, -174943261368120, -123719218409840, -147511644045532, 0, 281889477638568, -300373441241792, 104139515872700, 114246275455056, 0, -328377089962502, -42313119524512, -365819064008716, -18147665161008, 0, -269023144527112, -338865821877216, 153821751557824, 353192606629819, 0, -336096257367792, -11515950951232, -69907783084374, -161964072147520, 0, 41236066301056, 85129122521266, 319583761605992, 151103988065422, 0, 568335400098822, -53112079908176, 364544303171120, 422465074195600, 0, -61500285940856, 567415704267808, 74866459097384, 140539641391136, 0, -437091260162672, 669881048796520, -144190615321984, 134264132712744, 0, 263380228053056, -434441445403904, 557859572545056, 342604160752992, 0, 43624757655036, 200500651606964, 337064784096288, 166791243619556, 0, -646175155747360, 331854253147088, 607869162876160, 44828187215158, 0, 132715579972560, 127692515570004, -66276383812498, 204764367031700, 0, -480334589584384, 337360388859328, 252589308991652, -62807726898248, 0, -19333562998526, 70621133500720, 53943949843184, 196463844020800, 0, 834416984281408, -180174775354820, -49586937748404, -94346866184490, 0, -856469697268976, -118916261318560, 147066632868978, -669822850825856, 0, -707931724989888, -325544065374216, -14847395447984, 215027631371476, 0, 27038572835464, -197175443766112, -7092676699752, 284873354646576, 0, 220901944621376, 214219817662852, 584506741832048, -398705336330224, 0, -518368751599244, 266804824045592, 50286736449666, -391440589852096, 0, 20347493413576, -588579297061136, 392729502547254, 225383142903400, 0, -612291354177736, 26467966895504, 157800117013112, 361066640273664, 0, -198453995260892, -108007573499452, -103677160241916, 658797915028972, 0, -159066790390360, 606970804864672, 411070258246004, 88661327162912, 0, 77727049098888, -84467240582032, -264981361913400, 1073972066968468, 0, -476979845981810, 960142172967392, 384832555263092, -62811801265976, 0, -72129668207520, -63388209653108, 110562370389280, -185433684237334, 0, -39654563955776, 606325494562360, -458540849986238, 1011091748532640, 0, -161135635020416, 256481496377196, 123206069418824, 317943643163288, 0, -94151585157672, -483012208865984, -50738380575992, 275970523209856, 0, 718655042209792, -143940717300184, -55349890935348, 123859041908444, 0, -56874777448496, -125559001149120, 19950132016444, -337800529562260, 0, -482505304090048, -278559191173996, 964726301516320, 15438828854120, 0, 1458240449819, -119015627747396, 189232088361444, -56523754632256, 0, 55071464044716, 236178406598760, -763923147516288, -27367460275656, 0, -226166172183472, -929710829987248, -115299854742744, -639685414203264, 0, 1261745694746112, 896727643466652, -300077624254036, 300111461864784, 0, 723710446437152, 1033999974479840, 808759018356100, 91771894321296, 0, 1540492346185492, 89427157425312, -185470478685056, -298785037496090, 0, -292070531154972, -299021846895128, 476437444651106, 11217535770560, 0, 368435234656644, -572538490508970, 224744388404128, 877524584831784, 0, 94799707141748, -656034468504320, -286136852831944, -607554584153272, 0, 869696024079168, -788833865499088, 751730050400, 95552116096496, 0, -396299958172368, -648683985866520, -44978237678618, 435533332259328, 0, -223848735684880, -318353920705888, -802530883713920, -362243572955344, 0, 684540716112336, -194699627540068, -90112546832920, -456986127794320, 0, 1170364033236424, 557067884910564, -634610584682636, -209426171662092, 0, -343205894380696, 78003633455616, 532572850714848, 653249818265716, 0, -363543651941512, -79062244016238, 566907906746240, 341446497639984, 0, -794465450924006, -453613785701892, -286226377173506, 216284869643844, 0, 526434969945296, 3001835853000, -505530201145344, -138760127184342, 0, -1139104104756764, 690611756050288, -1261157661534362, -1204750999753312, 0, -40602761233968, -117856352597732, 230925150679084, -157848095670072, 0, -528064126211050, -94347437885856, -9064371708572, 419294269213680, 0, -993626272036384, 539934129993472, 464279503653768, -1065405961215254, 0, -143088635857510, -193607013499776, -291177663285632, 783195198925632, 0, -695557033351600, -395562898723182, -543346392745828, -516229465706912, 0, 452477589000992, 997269041186836, 140752202741552, -388242871752720, 0, 92041810018032, -586449228460992, 197704125757528, -1056897710483080, 0, 505142817466128, 138550632362240, -2486341552646264, 84794424411512, 0, 974946953538816, 482556434913826, 3458173528828, 330490171547676, 0, -532634475069412, -724788150265696, 1388677759827792, -193783822818304, 0, 124223460006212, -433233546339428, 140008892940088, -834346789305142, 0, -858254047904528, -558275727206400, 15265621511252, -768009343651040, 0, 1302965156479728, 263326816225576, -1309870255264224, -77507737454640, 0, -1447541689252457, 622547719003154, 540107170636304, -1707300847561644, 0, 1801185033375392, -34538752645922, -843817865288416, -2001918503179024, 0, -992889264194288, 961704707864856, -13590438736694, -331269241559382, 0, 176432267994560, 89678503777094, 1335085074742944, 606717723920648, 0, -357368228348824, 2361959519964672, -1423014895559928, 107544527915008, 0, -1832667088747036, -1275964499288696, -902551523422248, 591230530599538, 0, -614755507009184, 180482372252176, 881486215082192, 202825570365588, 0, 510874904337660, -869459598361884, -456882743368592, -38595421807712, 0, 460244957338370, -172039861035840, 456012350057860, -1135720953468884, 0, 211176891185344, 249680195847168, 1352335958539824, -303638048485352, 0, 214174796067956, 183856104133632, -831673112704126, -1750637008105200, 0, 329601462344000, 26988982908518, -968264561427296, 301785580308376, 0, 1262325160173818, 839467053737392, -354971650164880, -950693658158680, 0, 754912465016500, -559551856109116, -1198399780202288, -169512922351280, 0, 822016034805260, 901316805297152, 1071891462861762, -212981467867076, 0, 2165934149318904, -78178513684096, -3449083683407744, 1509388952309824, 0, -225898323164416, 279946395973180, 156526953087480, 88722939198460, 0, -227534900572376, -3257855027089152, 855092125971872, -2523056669801300, 0, -217781163577208, -1096364338931256, -1785491185345654, -1167082793840864, 0, -817072244243184, 795353683481134, -229269518298800, 2408344928522580, 0, 320912477159636, -538886439473608, 295821146291092, 17523017109952, 0, -1030978157047072, 526791226787916, -723726951406680, -422205929675114, 0, 2665300761829728, -46442466398496, -1024069689881336, -1451524328447968, 0, 211651402174188, -1251717688939796, 1896423967124160, 300217736305634, 0, -1287408954365570, -1314654133829240, 12415906678072, 263700424362384, 0, -281740187037344, 1214921426775832, -354139037988944, -1504450095915728, 0, 653524748360080, 544057660856572, -293975139215646, 160825988361048, 0, -288038455291072, -641476820508280, -940753303511268, 1374886088455072, 0, 1452675557057948, 23779653889728, -1255984289061780, 1510181884700160, 0, 1337339409067200, 160393729117930, 760538798961272, -584550419588480, 0, -661683905148196, 341471160791792, 1775225917688060, 269024772050384, 0, -1053163628806596, -488083400003524, 149891234800096, 3030920213031640, 0, -895652399226032, 124617668257952, -1367563243195016, 936521677197064, 0, 1038225769307776, -1244018522393232, 202691144127808, -1909674282156919, 0, 1241255428444056, -198920750368384, -2287136838251672, -188908856167392, 0, 680491603544784, 612755490499832, 1967396578959052, 1472277779211676, 0, 856697991991298, 201235367387600, -282227376155528, -1269219214027056, 0, 912214884422240, 709116466657028, 3260156865559292, -269790687324032, 0, -1255504609703724, 1503069663738928, 1045683199984134, 100283455510756, 0, -119632427837664, 33439138423610, -1210222050785472, -415431144279568, 0, -1899807445770224, -1372884310241316, -298259225930722, -542046309518200, 0, -857665645969728, -122433516064952, -1199817428870144, -696779291447390, 0, -4393462860181104, -85906451494728, 557572640008524, 17135639811064, 0, 306667620510784, 240433902421664, -961760926313512, 2840418359315068, 0, 3530638591250578, 2584580126882336, 147349595409452, -755380649601480, 0, 924194225156020, -1228401563655468, 1311343925415432, -592530406143648, 0, -104481253324, 194335892692672, 1068863232113798, 165061937288000, 0, -556789238190952, -414104884987456, -317118430130068, 1630616407764128, 0, -2274752893190228, 1033591771478718, 785179443307912, 1073376831345992, 0, -2311588764137000, 447255673672000, 1681750810144688, 1358057307089732, 0, 202198321067088, 690432295992936, -531673385321646, 1220004321904416, 0, 1537343423198528, 142940760273596, 5090931097802528, 634168455803750, 0, -1401151665024032, 1627226867182784, 2145634050058296, -325622534707392, 0, -1071650379677808, 927031630260256, -122146936919528, -844490974272758, 0, 180704946111016, 1257355971750080, 107808498522760, -1343384154340444, 0, -560691593717512, -291916756572808, 1475984305333904, 484726561151448, 0, 22759075835956, 682452786190116, 2685774245774356, 1047988977583092, 0, 906266422570016, 864933669186874, 171608487692896, -1560367588706976, 0, 1128493198031832, -2722437709244044, 489955322976202, -612844709341088, 0, -1593800585517952, 1675027542993292, -834669065203456, 1215593639763064, 0, -270500426064540, 1335998922174544, 63541246351696, 2895997220502080, 0, -2240446013486528, -2396903057878796, -266649935612928, 307869645339468, 0, 548103539673176, -2701967910411776, 220112605577178, -2729301940876460, 0, -2387931680002612, 783710268865130, 1807246202448352, 535374298392572, 0, -1496599386242600, -161262024544208, 3152343025995492, 1202504486987340, 0, 1489860838419584, -4052090210468664, -1372418252048960, 36492308701394, 0, 1611914850500848, 2153159569005260, -3460613245915424, 5463911303062112, 0, -1193510698296672, 570071386438630, -2023112185373924, 1214259715477280, 0, -883921292910760, -3768628253372128, -691437408632243, 932687507647744, 0, -945357326072476, -1714434658247372, -1561489759333104, 937833776736626, 0, -2239915600908972, -1323650815362048, -2170867891844560, 4278174567719284, 0, 506670785421376, 817705049221620, 318285125246056, 798265260345944, 0, 1081004437448380, 863809765449932, 6879753506497144, 225969117566976, 0, -1487124326093344, 1397893167359488, 2164597853352960, -1890004593807392, 0, -24758719796650, 1128608211286360, -1172833509141838, 1522063362998176, 0, 171761283252944, 4220467892241102, 1993145356944, -1136587687992832, 0, 4136933708164970, -4808086852766880, -1174755159182784, 1394725144893872, 0, -126284038843724, 2460751060685392, 1381161673136148, 855694537134522, 0, -56709322748712, 191279738978384, -1822804255852368, 5704534784498600, 0, -884584627419420, -1374065034391968, 3887220674132944, 205727385370220, 0, -1142185648427318, -294059409646176, -1751322072836516, -2169144627387728, 0, 627259864594188, 2120136257830336, -3845697961069296, -582681830572598, 0, -681534253700528, -2141500206775568, 350738891249880, 455991878455168, 0, 1003755795364176, -323888365067090, -1845880500276788, 1659511856003816, 0, 2075072388433508, 3288275948774792, 2158514785821748, -24085121852864, 0, 1257211130851732, -35450459275868, -3415545028020848, -4444814137526160, 0, 2098533402013484, 1549765835242064, 2268737781316858, -1432449285923600, 0, 2047274204774832, -120377168305732, 2560831247094400, 516381822831264, 0, -1091067462080792, -2431963434626268, 744646004590568, -588608678503296, 0, 1998487253744720, 2292275433911204, 367555910507632, -1821086742569178, 0, 248648130230168, -1108843482262848, -2810632078938612, 3598905727165200, 0, -2684137364438784, 739064792234582, 1604113146110044, 2645978969563008, 0, 2741090698414362, 57340547572812, 2451764480360576, 4108407910404736, 0, -309270275428696, 3490938850373792, 1217151121435824, -421723721764772, 0, -3166462428930792, 1444784804928176, 234831088602878, -768269977677184, 0, -410603093427492, -3793378670650184, -5351233471547392, 594131073912976, 0, -238074765016262, -1392802740507232, -1042132161648452, -975342349998644, 0, -1729074537151952, 3954614365885448, 3173248326233984, -3722076032732142, 0, 2680589751107076, -1501159895485424, -282962597761148, -3769292019387248, 0, -852488549377536, 681459328061456, -542286603404866, -2192515230043432, 0, 1067532227392064, -3337582944526176, 4370317346053632, -352793111804224, 0, -2410117193980948, 233280371260060, 400715756403440, -1851501618652576, 0, 792177633956590, -1154666669969728, 2525837852226360, -499131661626332, 0, -213903435996568, -166299792241040, 332702454369068, -1277934889274044, 0, -1709898890772992, 416440704611488, -311169046517608, -2760642316422872, 0, -3408666972570928, -1169305676529176, -1814609515553280, -142220761138887, 0, -889898377253744, -633005044141988, -3434943691048550, 600621359313120, 0, 1737885699867632, 2125629982906012, -3534134801575620, 1537419437470350, 0, -1620201463840138, 3229278722848592, 5267792661026880, -344407334762768, 0, -2329431692016352, 7359840683647608, 251637860308168, -1438364140752016, 0, 4629329043814424, -2879301467410880, -1841587427410276, -1072442611666068, 0, -1015889915333656, 2312559992945106, 1827920422868928, -917519156846032, 0, 2377171276609072, -4394082476459520, 1927212155755548, -2410930952875548, 0, 2521634166238688, 708170655187240, -1769997802647952, -4552448085037424, 0, -1328208013043572, 2121248526886256, -3482727289269500, -823475719831072, 0, -3280345580225080, -8744470849087852, -1554946748224340, -946907796003320, 0, 1294125654684968, -4888269883511648, 3616152216269552, -2851089344650368, 0, -2954943272187264, -1295907378281228, -23225612200672, 1141310979431146, 0, -1872670922812208, -230414086247424, 93386619778510, -2232628551669440, 0, 1852865561910048, 315868961169104, -6439064963531408, 1367442653092696, 0, 3480897219961762, -56287852009144, -2873763881656712, 48907969075744, 0, -3806201043907088, -2350876040043596, -901324978578056, 551697673761780, 0, 1611248997407268, -2896436279231580, -4016878511583558, -3696393312405024, 0, -136234892794224, -841514889406810, -3618503720076480, -908374852522408, 0, 1659583302854624, -1762793999573520, 39764329041780, 1712325036771520, 0, 4823443002167156, 2810569102890264, -2515226956104900, -3110831406066966, 0, -5919056519085228, 4037679921945576, -5891255375518802, -2106851371674008, 0, 3103670737696976, -792567478732260, 6390792536902304, -1047414026639020, 0, 4492296358064396, 704992465036832, 2274795125151408, 852126642119312, 0, -365216272366760, 3601061385644840, -867018874187072, 2577049627841540, 0, 3359174900059566, -2127331914597744, -4892832642611206, 456572208634784, 0, -2194354925948096, 3558973989543616, -1468664474580800, -836749783572068, 0, 7865575148420794, 402417225925752, -2540206310153664, -338045767592816, 0, 1880561823533280, -2790412272673316, -579561406349664, -1726443545604814, 0, 3939667121712904, 267619541296632, -7056319604658756, -4373527376281376, 0, 276998478692896, 2397353329851562, -11356930947937968, 1888836785331146, 0, 5014672664387892, 2748579923961708, 3149654015759976, -1064249869279296, 0, 955631697165838, 6479829145940920, 874814832146336, -2717254114761688, 0, 152372617677232, -4451997516807300, -286738026446312, 2447325999323272, 0, 1214510164830272, 2598006842768966, -203363354610360, 7533355795530784, 0, 4356262720393746, -7845607710931776, 3854976167523492, -4428384898167760, 0, -922599649733724, -1455317504011280, -1735676790209984, -3226203891969462, 0, 1101985868435900, -926106849521152, -4766962567877162, -868284218640496, 0, 3473410459395980, -10080136711564780, 4533988003484912, -3236992350613488, 0, 166164652848005, -5396557180111524, 2988082633698416, -814202318539184, 0, -7059729044905248, 266768179531568, 408000775906528, 2074561375679880, 0, 2400753881941016, 7300876287215824, -3037559897631232, 4317224603366528, 0, -2140504126339976, 7919043462062134, 2240076382489248, -967692850807488, 0, -205436487150174, 379848820746668, -1842399858728, 2837680696053888, 0, -8821972033572292, -2079169328487972, 316759615746508, 734226447146332, 0, -5841379207332980, -3479483130253312, -2939326406894312, -7567660040654124, 0, 701416396660980, -159505152087934, -1038012507488000, -3898046556033664, 0, 520437979259818, -1991769984447008, 732200593489806, -2163810963477492, 0, -2720304279885488, -1183906849188392, 6576708839072144, 309537360524624, 0, -2595503510405616, -474237704093200, -7292003811008196, -10333827924726880, 0, 698663717689664, 37544892431284, 2681914695443364, 2718962709688640, 0, -1309957794894032, 7432517145322928, -4806656025692356, -1405052628440832, 0, -2360886007035100, -1194896538496512, -1843674480666624, -1377411832169680, 0, 967960007431942, -3262296999947328, 3375305711919246, 3283786528713844, 0, -1602226526337704, 7487722449787258, -813243355081472, -66137478243016, 0, 7704040057956280, 110415084139064, 919527953371980, 1190432520199944, 0, 7185097022845936, -37926951801664, 3639592391727296, -10729387432246096, 0, -3851066847411072, 1218623017315368, -6789125457409510, -3198747126010416, 0, -10406339445891280, 433281471990252, 5338066814702652, -103594696107812, 0, 4793940857880260, 7904663653638000, 243545854755128, 4890565097014800, 0, -1344244535395160, 7330060279149304, 2639926236665064, 995311714829636, 0, -304598289519640, 683807330349296, 1784810278367480, 2474971703314816, 0, -9278409568958440, -356560075073368, 7601552551903040, 6071016822462424, 0, 5908265474831870, -999349368071944, 8125379002242408, -793261137049460, 0, -7311854043977760, -2982065700177361, -44858126968448, -7510245776740582, 0, 4252831335958536, -4102494119528372, -5138784889665028, 1224512833804260, 0, -2745032018405584, -2342604009346240, 4026722959410848, 5726127369769608, 0, -1200718716924496, 1546373448725536, 11573059569577632, 12380393255275616, 0, 11445767840657856, 33942167499472, 127975515325868, 812218253174642, 0, -2914854213202368, 6445033874155904, 3384552665957584, -1856310090987420, 0, 4086368277492096, -1223443369639502, -5491162163603856, 9113144157490856, 0, -4829320093711828, -4170265923796224, 11177309627500760, 2317546017838848, 0, -7123586540514536, -1187290465450116, -2881282952317568, 318865080221828, 0, -3476804326896008, 257531351525892, 23006660489472, 7011560339756048, 0, 2543403950048976, -7162498386823344, -617822476451828, -2353121650264008, 0, -243997150618804, -1252512987928784, -1287089467218842, -743554776807808, 0, -5393005256492096, 1258165833309856, -4615562416743072, -4343345023646816, 0, 2985115115700628, -891221341499808, -2774112292545102, 10449017947787140, 0, -4985451221022336, 408647938109138, 7919169411181984, 2020979109970384, 0, 1572785324124551, 6507699416446764, -7377657434140624, -1674750184278640, 0, 14289650482105696, -1909741945373484, -998805805854416, -5214235027120974, 0, -458837634489570, 4199914302070192, 10697740486793264, 8186215758367632, 0, 3440900882139456, 2553007732868978, 4576342172467184, 240143092634964, 0, 3669946374961090, -20632133456622208, 5004861660696792, -1129843388931776, 0, -545446041556952, -2213887488027456, -9336844886037368, 4598009797956140, 0, -12512230083157768, -2137983069195008, -5049861422851138, 20300423935362304, 0, 5509049234178156, 4563976975549910, -563194087185808, -275926447722072, 0, -1434150003470032, 15645458594975292, 5065181358214288, 3654525339134312, 0, -653032783333728, -1874254513372520, -3660624367568288, 128323178101776, 0, -353812790425824, 1569009163045500, 4016573423532460, 8513635856193184, 0, -4117612298926592, -3739411784194266, -6163333985767776, 18732826874560, 0, 1990942771925024, -1219714607361904, 161204952830836, 2740878441956080, 0, 647059793794688, 1150337448173088, 11616872691883832, -2796176721916356, 0, -13781138845145172, -432418879480680, -1527537888971360, 1180461670698352, 0, 9767260216027532, -7081649478458206, -5346772002226272, 24015026323603624, 0, 2968773822624904, -12330758893084636, 1995402920800580, -1401854499983616, 0, -705669553943136, 1515987506527852, 4212590359031040, 9685540442916182, 0, -11042016593256528, -3947315565768248, 7863339063338842, -2677256573684448, 0, -1671776220634096, -6807952457975088, 3381956767879680, 4797010658507768, 0, -2619889415197380, -647116441365156, 18822937769175728, 1496418402132944, 0, 2852420456348000, -2485871613266328, -4343766972218260, -78341444996668, 0, 818309619477676, 5940827143570816, -8217646704122410, 2332364146294784, 0, 1172420088823564, 2157836097160728, 11434874256868656, -5692709236590984, 0, 6959575837084904, 297937994168844, -1450323428779666, -9208388325042612, 0, 2279698874955936, 10419518142667640, 6049436535720320, -11157835452589774, 0, -5980657136897408, -5116017471182736, 4395576716237472, -2823354317715248, 0, -9337192394155424, 5969233764854472, 5313741795786434, 10405075578261712, 0, 2026985719664838, -2688812785673728, -1518948765096900, -195660435873336, 0, 4840014771401980, 2310668704708472, -8091061368621392, -8567737551118750, 0, 1287550732851208, -2633323628645024, -4283777271390690, 6261417306682020, 0, -97028697503040, 6976850553073236, 2475974606078596, -4602990107898672, 0, -4424035358782136, 10449425803548868, 6383082002676472, 2644677478796176, 0, 2588360473040480, 6915255595816664, 3980413264809384, 7741042844794816, 0, 5434852748145488, -5377005147164280, 6896387563291040, -8491128052792096, 0, 2525617735738656, -2691185504185862, -17043181683219424, 2419364641426950, 0, 562507426533932, 6993728081654032, -13396596376184400, 330751412474496, 0, 850505182933504, 18214631863961632, 2794459174740960, -5581521372612414, 0, -1536259634970232, 9875332889550256, 2051613490593464, -10795848178417728, 0, -9703815975513504, -7788402250513870, 601362084466384, 2222892761415064, 0, 5731772262580190, 21442794466862752, 5529904091952312, 2004358405458748, 0, -29345237576430400, -2044146307444598, -1254665154166208, 4603586753375067, 0, -6489409350248404, 95413824527696, 8054212861989856, -6548154535040832, 0, 9372314298708384, -5955577247519418, -6308277405470692, 161949297789392, 0, -2118281118418304, -4852443193769856, 8508494321748048, -3494065047303152, 0, 10652676168427844, 14123187537600672, 3404279455273648, -2181754537000640, 0, -6083716507724544, -12291315505910016, -8059389088681382, -479638035944840, 0, 4555276393134636, -918415718535006, -1995119538263840, -2327105544202068, 0, -19118673108515040, 184219542631124, 13973747140594916, -329696265705448, 0, 5472578727563856, -18550264564835816, 4399029034054080, -3451274475173280, 0, 9523464313297748, 8784039286954336, -16635665540657390, 504621409406080, 0, 5194054242291264, -13978667207585554, 11852338147788036, -6015111437618576, 0, -12742179813219574, 14044813237224640, 3334609751115846, 6231250572967328, 0, 5685031061295620, 8099357254869648, 6811397048465580, 1870277637295512, 0, -3451427331831488, 4027893017490368, 2627228628753026, 3889574211503968, 0, 2966989405634840, 5867932495331872, -10879740527546112, -8244039667376612, 0, 3666722165105136, -24520061399552224, -25036271893007788, -3862795925093140, 0, 17885936454914848, -5087459457081168, 4980244313580760, -8247066663674968, 0, -878181928821568, 2811705652097944, 6348639394157128, 3003248275729936, 0, 8257043782890688, -2249159640596330, 3946111179464832, 15905922949247556, 0, -17220567898118744, -6494540304687048, -4509747321293804, -9043819650093760, 0, -9561503934792132, -37834510601168608, -15421600759159008, 6361272136688746, 0, 1000814920898624, 2205708890306880, -13794053411869664, -61530257455904, 0, -893327162648288, 278458147216190, -13878346557799008, 8630629720303640, 0, 1695105460679488, 2864608756576000, -7596651418832392, 7869961767240728, 0, -1153667338140576, 9833028646837848, 2050832792679104, -3425889252344732, 0, 6441629882224136, 6712908928635580, -381807815364864, -12910059325821032, 0, 13223248354268608, 2931759780431920, -8181155393105480, 5076886190052056, 0, 21180840262964568, 7446639615558576, 3481229612514900, 3677277794841600, 0, -438467734650944, 1936026764807702, 21112519403180400, -10183475779804772, 0, -3506986159251148, 2359307432414256, -15464337778073150, 3744023875024104, 0, -219087174580132, -10534163809312686, -17563917480304032, 1193736018923824, 0, -2245754004456928, -4051017607425076, -17478760672783564, -14243725077234728, 0, 6888598759065424, -7651422369391824, 2831387867822864, -8677716370901022, 0, -5731972732053112, -4444670020556016, 18744774519922880, -17033046335620800, 0, 14206882618407168, -15820109145617508, -9553036906755316, -605612967512156, 0, -17924111397013280, -4270794261766144, -19828892855378048, 361727809110768, 0, 13407764079154300, -15730507359793516, -15005884142608800, 1481644352846098, 0, 10846906226435308, 3011381884648264, -2087169026559908, -17633376369512768, 0, -2038729663396776, -3069984048400782, 14807788254181544, -8067021823333552, 0], "weight": 10, "weight_parity": 1, "id": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "embedded_related_objects": null, "nf_label": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp": [[0, 0, 0, 0, 0], [1, 0, 0, 0, 0], [0, -1, 0, 0, 0], [-28, 0, -1, 0, 0], [168, -4, 0, 1, 0], [0, 0, 0, 0, 0], [-46, 41, 10, 6, -2], [-2401, 0, 0, 0, 0], [2816, 26, -44, 6, -2], [13355, 524, 29, 13, 13], [0, 0, 0, 0, 0], [1622, 1092, 141, -65, -9], [-11916, -1900, -180, -29, 4], [-30510, -3008, 21, 16, 36], [0, 2401, 0, 0, 0], [0, 0, 0, 0, 0], [-104552, -2072, -152, -202, -104], [-3918, -6256, 71, 124, -244], [-357586, -14470, 1270, -1062, 58], [335430, -10684, -2338, -609, 203], [0, 0, 0, 0, 0], [67228, 0, 2401, 0, 0], [-739650, 19787, -26, -1798, 394], [-175806, 42044, 1250, 577, 581], [1303304, -5242, -1388, -270, 730], [0, 0, 0, 0, 0], [2037286, 16397, 4990, 1834, 82], [-851104, 33000, -12331, -1818, 606], [-403368, 9604, 0, -2401, 0], [-667844, -7508, 20289, -6331, -255], [0, 0, 0, 0, 0], [561338, -63348, 7408, -13171, 937], [-28432, 137196, 15880, 2628, 916], [-4068412, -51312, -501, -6596, -276], [4341474, -79973, -46182, 13398, -594], [0, 0, 0, 0, 0], [2941140, 340504, 28692, -3670, -1876], [-10232636, 79964, -4560, -16455, -4203], [7039020, -146802, 83468, 17404, -3052], [-144934, 346564, 24529, 23551, -6709], [0, 0, 0, 0, 0], [1230608, 89572, 470, 12023, 995], [110446, -98441, -24010, -14406, 4802], [-1148126, -203436, 27650, 16891, 983], [-14576052, 836124, 71796, -1767, 8940], [0, 0, 0, 0, 0], [-28649004, 202282, 57396, -65820, 2508], [954004, 1058352, -79409, 17140, -5528], [9359704, -190568, 237640, 5978, -2824], [5764801, 0, 0, 0, 0], [0, 0, 0, 0, 0], [-2857922, -1848100, 298591, -14855, -7799], [4852492, -1043452, -127900, -53321, -11956], [14396614, -572312, 272842, -10106, -24146], [-23361130, 1743347, 302686, 19170, -19814], [0, 0, 0, 0, 0], [-6761216, -62426, 105644, -14406, 4802], [69405678, 4427204, -393118, 164127, -1733], [5506438, 2264597, 33854, -119238, 52730], [-30587280, 259264, -303312, -26544, -41352], [0, 0, 0, 0, 0], [51165212, 615692, -120910, 345325, 20873], [41875640, 3145316, 659112, -35552, 43032], [-32065355, -1258124, -69629, -31213, -31213], [-39051024, 714928, -46384, -151276, 81584], [0, 0, 0, 0, 0], [34317594, 5838485, 249970, 49406, 11638], [-28088548, 3484320, 858968, 82200, -3136], [55725316, -4954020, -261460, 338193, 4580], [-38662958, 743612, -844106, -192191, 64885], [0, 0, 0, 0, 0], [103805632, 1815552, -201312, 39680, -64848], [-46935880, 6407276, -1083344, 80028, 31276], [-29831374, -5002696, -247848, -97198, 104298], [-54920872, 15228130, 80328, 40576, 15384], [0, 0, 0, 0, 0], [-65501096, -8753480, -903928, 84170, 22088], [-3894422, -2621892, -338541, 156065, 21609], [-230288426, -6463645, -2381810, -245366, -11462], [94653578, -4563644, 740243, 89503, -17149], [0, 0, 0, 0, 0], [171787181, 3045848, -535504, -85718, -61694], [-60027652, -4425796, -370532, -98196, -21116], [-439401868, -5321000, -527412, -39062, -7254], [28610316, 4561900, 432180, 69629, -9604], [0, 0, 0, 0, 0], [140938948, -5043578, -858492, 41828, 23484], [-591049504, 850456, 1301237, 69914, -350410], [-189376776, 8140850, 839260, -618058, -36722], [-227758240, 15910516, -456370, -121645, -130921], [0, 0, 0, 0, 0], [73254510, 7222208, -50421, -38416, -86436], [-51959960, 27273768, 2093432, -1048962, -46024], [-166852954, 32856708, -166760, 1154255, -396981], [-720050446, -1328911, -866662, -381778, -204154], [0, 0, 0, 0, 0], [-525364176, -12569964, -2391912, -1000356, 83916], [-396338894, 13057392, 2464459, -15676, 281284], [0, -5764801, 0, 0, 0], [142690124, -7562400, 2419650, 1892584, 6576], [0, 0, 0, 0, 0]]}