# Stored data for newform 285.10.a.h, downloaded from the LMFDB on 21 December 2024. {"Nk2": 28500, "analytic_conductor": 146.78521330670384, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, 1], [5, -1], [19, 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": [285, 1, [191, 172, 211], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 15, "field_disc": 1278678461289077800509266218433323077541857717761333970876525448587624540376456151296625879369050134740470084844544, "field_disc_factorization": [[2, 10], [3, 2], [19, 1], [31, 1], [19000504920898698061, 1], [59487794717380537692143, 1], [103292980104479851387058512544087, 1], [2017621838321521135055838506763031, 1]], "field_poly": [15712212684310961400, -21881601450607548510, 844341253042208334, 617735239298795077, -1105301955330540, -4369460380063800, -17762605232062, 13077899446663, 51117957936, -19804799606, -49616078, 15858707, 18436, -6356, -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, [-37823653537439285248, -21734306798463614976, 972340606580015104, 579270304260685824, -20023892408597504, -3993587063486464, 106230713537856, 11967144805120, -224529037776, -18445001392, 221032268, 15143800, -100427, -6223, 17, 1]]], "hecke_orbit": 8, "hecke_orbit_code": 31525197559365917, "hecke_ring_generator_nbound": 23, "hecke_ring_index": 23887872000000, "hecke_ring_index_factorization": [[2, 21], [3, 6], [5, 6]], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": true, "is_maximal": true, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "285.10.a.h", "level": 285, "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": true, "level_primes": [3, 5, 19], "level_radical": 285, "minimal_twist": "285.10.a.h", "prim_orbit_index": 1, "qexp_display": "q+(-1-\\beta _{1})q^{2}-3^{4}q^{3}+(337+\\beta _{1}+\\cdots)q^{4}+\\cdots", "related_objects": [], "relative_dim": 15, "rm_discs": [], "sato_tate_group": "9.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "285.10.a", "trace_display": [-17, -1215, 9375, 1352], "trace_hash": 946174689778820793, "trace_moments": [{"__RealLiteral__": 0, "data": "0.252", "prec": 17}, {"__RealLiteral__": 0, "data": "12.528", "prec": 20}, {"__RealLiteral__": 0, "data": "5.910", "prec": 17}, {"__RealLiteral__": 0, "data": "538.876", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "43441.598", "prec": 30}], "trace_zratio": 0, "traces": [0, 15, -17, -1215, 5055, 9375, 1377, 1352, -3597, 98415, -10625, 138230, -409455, -176712, -555994, -759375, 1695731, -274992, -111537, -1954815, 3159375, -109512, -1031106, 1714212, 291357, 5859375, 9500004, -7971615, 14545598, 1754340, 860625, 8442914, 35638859, -11196630, 47218266, 845000, 33165855, 2956096, 2215457, 14313672, -2248125, -38550502, 45035514, 50753570, 212125630, 61509375, -117130008, -40252876, -137354211, 110123035, -6640625, 22274352, -87136648, 65532542, 9034497, 86393750, -377288898, 158340015, 211630876, 175407418, -255909375, 151231854, -30983940, 8870472, 836879575, -110445000, 83519586, 40009476, -124850430, -138851172, -347496250, 87578500, -23599917, -360657638, 1373397084, -474609375, -658772655, -304618172, -769500324, 205798286, 1059831875, 645700815, -2327138772, -63321462, -1178193438, -171870000, -848405762, -142101540, -3211126502, -381069174, -69710625, 1476892872, -2382818588, -683876034, -5137318040, -1221759375, -2886747579, -3915268828, -8273557437, 906927030, 1974609375, -254326758, -3824679546, -2217165912, 3140902456, -68445000, -2217969822, 1877419272, -2686434255, 1204682576, -644441250, -239443776, 1303686114, 4457709718, -179452017, 1071382500, 4558523228, -1159407432, 12424851676, 4155568352, 182098125, 19033452795, -7365772610, 3122590662, 10993014092, 3662109375, -3647876634, 3085035088, 12277462387, -4111039170, 5937502500, 15004407078, -17182176030, -176193992, -3526316084, -4982259375, 52054139302, 20966634352, 9487530648, 16984909760, 9090998750, 3260482956, 34534596300, 11949312760, 11125691091, 1096462500, 32999958854, -8919965835, 34612559208, 1193597094, 537890625, 35724125422, 468764637, -1804222512, 32177688280, 5276821250, 7058068488, 1766406924, 39253103156, -5308135902, 22274286875, 18514768524, -731794257, 31824158158, 18178169904, -6997893750, 58185080980, 54283005768, 30560400738, 4522771809, 29511416250, -12825541215, 99522129522, -5225423062, -17142100956, 528125000, 148939686074, -14208000858, 11171070984, 40875735374, 20728659375, 52141275688, 112423657912, -12249780174, 43869417720, 1847560000, 2509699140, 44782683464, -7777801348, -718508232, 1384660625, 70636492202, -67787245575, 30462776212, -2216757480, 8946045000, 119590171063, 2219608938, -6765086466, 31410000544, -1405078125, -3240767556, 38599962286, -5085233804, 10112884830, -24094063750, 71174496808, 11246944932, -16950289556, -18014271830, 28147196250, 55572003752, 152831788086, -7093858500, 234057488028, 31720981250, 1911593277, -14885920408, -168060030334, 29213268678, 132578518750, 54424242896, -111245163804, 86067630084, -311432241030, 38443359375, 181584616866, -82495603484, 53360585055, 161182573578, -73206255000, 24674071932, 331801699088, -6829592036, 62329526244, -25158047500, 207930626752, -16669661166, 343837616832, 208610053922, -85846381875, 28328472966, -280127087785, -52301766015, 360239310698, 68826896875, 188498240532, 23029284552, 185794918112, 5129038422, -4150390625, 181867535286, 95433668478, -189757117100, 112275421880, 13921470000, 689586369571, 28920520962, 68720866722, 28546698512, -54460405000, 11510224740, 97540540934, -72032680200, 260101246662, 40957838750, 72457694074, 30866603094, -55096401164, -98297383216, 5646560625, 117466986608, 129957372522, -119628322632, 195204391498, 53996093750, 193008305628, 37997394728, -71930586024, 55393958754, -235805561250, 129737127642, 416122761240, -175361002454, 343602246332, 98962509375, 1409451047388, -56839190272, 233826553899, 327724590369, 132269297500, 317136775068, 29403130990, 181673310198, 670158152397, 109629636250, 1903873617280, -73461089430, -219408743014, -78102365228, -159943359375, 1224019844808, 349691535388, 20600467398, -220989359651, 94519908750, 309799043226, -164568475320, 591696963524, 179590438872, -19364962500, 229283239870, -254413098936, -338097734546, -243535951438, 5544045000, 1146168178608, -246782881446, 179655555582, -715875889460, 523049734375, -152070961032, 473644665596, 35837232432, 217601174655, -69028125000, 827434634382, -97579288656, -791221733796, 294142719300, 52199741250, 1081524659304, 494674692860, 19394945856, 430369103484, 25005922500, -105598575234, -351988745388, 129475667013, -361074487158, -78031518750, -949743339644, 14535613377, -984973268372, -404549234326, -86781982500, 602889963342, -544654819506, -369240381468, -982160597038, -217185156250, 93912001992, -1298381526290, 125288190856, -1006412985756, 54736562500, 7186543364, -336601036512, -1349962203372, 95056119746, -14749948125, 254753445615, -938773037062, -1541709676395, 1511103373636, -225411023750, 596627581410, 631717717060, -3091888620828, -252929843622, 858373177500, 385830843380, -890434141452, -1385203407940, 1575713396192, -296630859375, -1298839891496, -3148387184136, 295478007354, -28882624756, -411732909375, -249887842128, 1236432399470, -1538713520520, -994474453347, -190386357500, 474735901932, 332994172770, -2779390927780, 1940459209326, -480937702500, 1594925132072, -4214669610425, -1215356973318, -4306510488926, 128623928750, 1391756258430, -2749326575620, -3282347527180, 14271713352, 662394921875, -1143840636318, 285631602804, -3362428673672, -3785509521730, 403563009375, -1129255580044, -1440645087296, -4216385283462, -1441546079046, -1454461732500, -1698297382512, 1347797607248, -5425758883548, -768489982488, -39575913750, -108109606828, -1375777690560, 134374765026, 123597628066, -736370898750, -1411169270956, -3328354792988, -264099119436, -4006995775878, -107418750000, -2797302300300, 1949508111140, -3406150105124, -967894333560, -530253601250, 928094170292, -901180978371, -1989643923692, -5690818892644, -88813462500, 711609609830, -223397822052, -2672996667174, -1873483916298, -2006954063750, 722517232635, 2606624623740, 1079347979698, -2803617295848, -238168233750, -2749431733560, -96681364614, 1552255652374, 528682777738, -43569140625, -635736993404, 2190536445710, -2893654159182, 783591047400, 923058045000, -37969935597, -132506014486, -5457424027042, 146142023472, -1489261617500, -1387459766286, -2606392750680, 519658412256, -4250719521744, -427422521250, -5232890943254, -1647621773506, -571703547528, 9069703686072, -3210823775000, -143078960844, 7581770157200, -763340220788, -3179501355636, -763599609375, -14636064054144, 429959008062, 618209185342, 3656712214406, -1804217236875, 1024782303004, -1064466281650, -1499696250444, 11796177911803, -2447043017500, 59275334817, 3263376042276, -6028926047994, -2577756810798, -5170973398125, 628307868258, -1472431762224, 6863690637864, -1238050021284, 566829393750, -989277151044, -2049486244328, -4712991559380, 8754041311280, 1234130859375, -4396923467208, 1339673558026, 2408442890548, -2475392459778, -158954223750, -9247151000260, -366344516529, -2306622493808, 2652126439256, -2390424716250, 9822151640760, -7684687285029, 1038868838415, 4827163169818, -1385728695000, -8061292491282, 11316116726620, -4831409960464, 423259268022, 1963064035000, -7863324082258, 1388510177436, 4853658240912, -11886963536346, -42778125000, 9774789855844, 5296198992640, -12064114571994, 14607208008303, -1386231138750, 1150848069498, -1895596876958, -686629833332, -904856749704, 1173387045000, -13236801684500, -3310934565294, 10177847411488, 22667784149282, -1679021409375, 10298336013850, -3304013189892, -4223443330728, 28660951030182, 752926610000, -9106316290872, 14352043873296, 4241076437366, 992232194094, -402775781250, -228627343140, -3553422835320, -2199343597564, -6383135859858, -149652360000, 8437190690104, 10467281076490, -203285630340, 9627706167812, 814803821250, -3627397360584, 95152229172, 6286286494728, 630001909188, 2786068573750, -15482722663290, 58199166792, 17265454224260, -2119121121222, -112157510625, 1488229706936, -2374844853176, -5721555868362, 20132954535652, 669614062500, 5490766891575, 13278197606530, -21969878714171, -2467484873172, 2849077017500, -12062566032024, 179557355880, 19088432822880, -3457079801194, -724629645000, -1359437728442, 4290456771074, -9686803856103, -1100288995394, 7765532297500, -179788323978, 14658505680396, 2165545528152, 547972003746, 2597230220000, -21393037997654, -2544210044064, -20473716538932, 6853759361628, 113811328125, 181704751970, -19117691763172, 262502172036, 17605887838404, 11895907996875, -3126596945166, 3270204637476, -4644491743739, 411903938124, -4603607881250, 9304516556492, -819143671230, 2924785810488, -1872658671184, 1951619163750, -5189728998952, -557974018404, -5765134241448, 9771133045384, 6870633807500, -911002539492, -4293756076862, 7220099125872, 1372973454036, 2288818359375, -41229927340966, 1459156018230, -23069778789098, 30911559529840, -2279922896250, 15020768492864, -67102899240, -4501332303912, 4444975563018, 1928146930000, -12379374834966, 345590866212, -34184753205448, 574602538500, 7673413991875, -26496114326226, -18958656530268, 23395698971894, -46665708143204, -2569399481250, -6153531643386, 14302798748124, -154839055437, 14856432391352, 3710939062500, 1205759553048, 30942836098730, 24968695092318, 13612862457054, 9377754423750, -27286634579412, -2366274762918, 32355711526196, 18736236754570, -10738860018750, 507037988624, -33937935950108, -4408363674576, 64377488178432, -110121245000, 9010858268124, 51896472506124, 40880983058296, -6971478036804, -2203947552500, 12964345672408, 25226011523430, 10426282811968, 9482152860964, -3113912109375, 12994959421681, -10404602100326, -14708353966146, 22227359381528, 32533837063750, 6682143882204, -13353144759172, 31356922048588, -4322207389455, 13104146470000, 8182099256952, -13055788459818, 50438217497694, 19268343830988, 5929706655000, 37867519049424, 12431904045546, -1998599826492, 16787072445308, 10615568600000, -26875937626128, -223701851864, -25836285458014, 553196954916, 5681874218750, -14184174134534, -5048691625764, -385241386816, 41573414156542, 2037801847500, 41047395185290, 31850316624840, -16842380766912, 31870534843882, 21584122687500, 1350242554446, 12417069232152, 43054326969808, -27850846963392, 7468320475000, 6672225895752, -16897414367682, -2070811786138, 20741645121530, 6953556931875, -3704054812024, -288720571697, -2294606310246, 66516332477382, 685289062500, 22690294110585, 17640812427808, 64056289557904, 4236443047215, 20624974283750, 16469238452304, -29179384166538, 814996711356, 38146910125350, -5574978646875, 42812798932432, -2321040467232, -15268357483092, 24314973155276, 21632849505000, -1865372048712, -11959673384984, 27043587624480, -15049388367072, 745998183750, -1414784307484, -415452112182, 851857316704, -24611889901888, 336181640625, 21125860449762, -5476916012324, -14731270358166, -13510398621484, 22327578388750, -7730127146718, 17465226036912, -18077481464460, 15370326485100, 292977898125, -16649407217654, -9094309172280, 20051616757172, 80314140342878, -1127639070000, -8704945575896, 6517079800036, -55856495935251, 24191077225698, 20111055175000, -2342562197922, 87665965601704, 2261606483654, -5566390204482, 3298013281250, -60298944650484, -2312282579472, -24430131942750, 5023939971142, 4411292805000, 46448390299280, -74295469742040, -932328203940, 57022081898395, 1104004327500, -7900783815654, -17884503427776, -12820709240114, 5834647096200, 24533189472500, 29507323957508, -21068200979622, 2259632490708, -33414558224154, -3317584938750, -35947012694932, -48930245247002, -5869073219994, 62375355571624, 13921429296875, -2500194850614, 70483009284408, 18003175150620, 4462808494284, 11571730327500, -151016551187108, 7962088040496, -81312023568218, 18543210964418, -457371410625, 37073909526432, -124500155446048, -9514825915248, 125992022697764, 19890098848750, -10526547174282, -6614255995970, 10851877425954, 9689894133192, 11361356190000, 37551073975730, -15811555711338, -2274409652616, -34427613917944, -4373683593750, 27612615065792, -28875885272768, -15633672755868, 45416489954536, 36365675612500, -3077788972968, -119465467333128, -23924686461072, 5826377467944, 33926878605000, -27644424227230, -4486910659074, -95512279612682, 36001944037876, 19100250461250, 56755309647937, -72770043501586, -10508707339002, -24283177105716, 2826732380625, -33705943660440, 13351927480116, 107752937893054, 14204241198774, 18444635156250, -44807417005996, -27831781952892, -53523286455420, -46926051300072, -8015963259375, 16227806299620, -25644097780834, -114165534838428, 111353101729236, 62201330951250, 4603974412032, -64926767607748, -17493019382824, -18939950865819, -3265889413750, -185898438438948, -26545691819889, -205930056142180, -41777746701472, -10713813097500, 56403768997688, -244772340398786, -25688078780508, 15264499772568, 330078125000, -2381653610190, -33950946926232, -10708888607876, -14715538126038, 93087303796250, -94467057216358, -54282810344157, -6811554411558, 16914265654012, -8880000536250, 33921011809336, -124304470393752, -154213762999680, 93645192963880, 6981919365000, 5950348243830, -54427410225784, 5245795053196, 17772108184134, 25547334608750, -280125827196370, 6326291583468, -155802406073916, 124335994747336, 12955412109375, -198102249990776, -144784729540272, -99145607429448, 52568009400226, 32588297305000, -28325014366428, 17800865162320, -303976470423532, -1668637859238, 70264786195000, -115599675940012, 17900138131731, -53218060142820, 7997615802066, -7656112608750, 130351598951818, -127313461067164, -25093722501306, 111695225990312, 27418386075000, 13330046500920, -80516797946406, -85114690830736, -47927454045444, 1154725000000, -169017581195874, -14546825548632, 59577552155524, 69686957628290, 1568561962500, -14351344044235, -43426032095250, -18571942429470, 18168559318864, 27989177165000, 20607461013816, 144063796523602, -151722829101296, 27385916498226, -4861125842500, -68206000963212, 19726412066478, 135914176662396, 49122261293952, -449067645000, -178005956120048, 36085870482378, -92839622467248, 3798000428296, 865412890625, 19989413397126, 201469514579984, -85180114116038, -14552100002142, 44147807626250, 129945640473086, 57985947046260, -359079007487910, -9000227736284, -42367028484375, 56792711794155, -21658764593200, 12317747843592, -140177899558946, 19039235132500, -38365217913276, 17394585657228, -396174344939981, -2902815826992, -1385473425000, 119082775208546, -17625695147055, 15084303300648, -57100293036116, 5591278125000, -54211483949630, -24336924158826, -67022205384942, 80711349707380, 74743856914375, 7903922381136, -1014951018742, -124247798846512, 64088960437476, 1387255586250, -190751913063900, -23825560263300, 11355735104008, 75951457021804, -4228179041250, 143277428916530, 277178331032688, -87603497403624, 52789913993472, 19631250340000, -40068650121660, -13310830838404, -302774960711896, -1570990614336, -878173828125, -129250549689564, -34859897382204, 15005985006256, 143531759865650, -2025479722500, -249295452995708, -8540266405982, 8553484593954, 194691051716670, 24124976428750, 28511088376428, -394070787668812, -101472982843222, -10487529028053, -3178271127500, -84699049140760, 29247033459798, -371379643129416, 144967524399598, 6320553018750, -148785369397692, 63265905154124, 76929210511164, 246173735681447, -15058789843750, -1177384683537, 47084140909292, 31987605040958, 79782834738132, 44484060505000, 55634395976114, 32768487980406, -11289358715438, -48192356231148, 7029340582500, -254702199237652, 67154811749680, -48834087030702, 147805337523962, -10593930972500, 44117040379986, 178079180321684, 18102089693728, 29908470898908, -11258919893750, -75939291411336, 79555008360078, -183973891712846, 142822974886158, 17591997656250, 110333272684880, -62458197173448, -7606872161352, -12178909294096, 34732502345000, 105168903629490, 21117755815344, -168225521330025, -10148343459336, 95519867553750, 2969016036862, 81519451846236, -87813306064872, 49168666476258, -4433661562500, -98629671685604, -113233771860736, -582110012484, 112855436653442, 146285930017500, 27264683957472, -244546089694908, -35108041901520, 109346938473132, 19825613281250, 60005859939032, -7699545699426, -618239364269222, 351212343769040, 1194745798125, -38381147223880, 38114413713778, -20635029094815, -174066162247396, -9303700255000, 76040616002022, 130367920348364, -376126614243190, 124878483787995, -105037518958750, -8914639339586, -122399373264516, -287479038999812, 68905396793584, 18258292923750, -140420169338386, -76051304597790, -48326834094210, 247488326742612, 82861574218750, -51169135081860, -27579947391196, -15884893970036, 250442978287068, 34015151810000, -146950916000696, 20487317333382, -538033417190078, 247219839384350, -69528227377500, -155325440571364, -100632103321248, -31252298313780, 119686544309714, 53792268802500, 72125165457612, -146538058861084, 222851542314592, 112201476043140, -194645150643750, -22859270121178, -127632785091552, 48830956669744, 386461146450392, 24027099609375, -86584164843888, 220315632339708, 105206031211176, 20517306047194, 113490385541250, 255019361915016, -136453765971790, 70092689043928, -23933718595674, -51559752177500, 80121178027332, 2339492605236, -394564834262676, -39032184966512, 33350365659375, -66400509498192, 458541488918656, 20240915212368, 591781886055780, 100739108486250, -100151024357070, 54209921564040, -520731922271800, 124635795162120, -45753909375000, 246041623279470, 80552430721107, -41168416183172, 203853675315778, 15421294957500, 247610049696549, 87041141886996, -38453608056492, -19708686445134, 207376061930000, -26972527994370, 584885411868428, 506261304960214, 225130665150180, -4268495022500, -29268584542392, -157177195955406, -474448499998106, 365214821475700, 38955953902500, 462260503069448, 436482870763938, -129188935697832, 10884441870560, -15723779687500, 341388238444425, -270668489310000, 4037858044740, 98443914838758, 129956641720000, -32248401890740, 348827349603006, 155516999846220, 1551714490395868, -10418538228750, -888305612794542, 301698864786134, -112732256932830, 304583894752616, 214898510520000, 222695452625220, -763632105634998, 49956856053366, 265870149701580, 130381283701250, -322425430102124, -1156008781512, -874582094005264, 891607366510388, -53653988671875, -33007868438230, 149161627084818, 92651091541758, 998840436059256, 17705295603750, -23136159827124, 301722398333888, -220204669149416, 272356722567432, -175079429865625, 355302061590676, 306626271260130, -452237691018808, 585899324836540, -32688603759375, -109062983093575, 125688003699804, 91469701983564, 204233002265728, 225149569186250, 116692252070976, 421796729271364, -82364234908372, 341527207960422, 43016810546875, 105630246406578, 116765232402726, -645381382372496, 9968768461276, 117811400332500, -28828346531774, 1284083716462940, 137562087983472, -102425198771494, 14393302845000, -109171606187088, -87374339762252, 437129975260528, 439486469567388, 116121823820000, 449919189462160, 62247688581528, -310470596749040, 38071335470258, 3205649013750, -991660116667500, -385986601600, 8756878153068, -60052134556382, -2593994140625, 111437992935360, 51629235767586, -113292074738828, -10884355967106, 113667209553750, -136587729766778, -10011407873346, -168199435909524, 300017747326046, 59646042798750, -362301866018444, 358252788627656, 114304710947436, 593407663432312, -118598198187500, 269596738232028, -230409954019220, -539681208169458, 21392028674316, 70172138675000, 405575125079772, 324566657846118, -5214074921796, 67447700756776, 8700918750000, -704960399175556, 243254867564170, 226581486324300, 737381460891204, 430991480981875, -157910157002340, -40989541997832, -170441965533888, 275898158515044, 18075325601250, -135824430438510, 78399441018360, -195873009140012, 167450953441714, 42950541701250, -34440080086240, 16270632888030, -75175627793652, 89935998816340, 17841686570000, 72995659248051, 72301591452934, 250753515901008, 161161157819052, -34037753125000, -673683248527994, 460956330304164, 228534164942436, 342505679868850, 7193890462500, -513491362981598, 164654386369836, -57640378396230, -3138187992800, 60962838083750, 18095223586212, -665403340620624, -5628970996272, 216512730041094, -45020425125000, -172338780280716, 151752197220138, -568737285708104, 335358819568328, 162563279163750, -249291995706578, 323045263475346, -58523895843435, 554384896517080, 25598649218750, -211136594522940, -363730941267448, 52333503166332, -87427186355538, 45286058796250, 249914493186144, 227093000963688, -347891689742396, 657797724091420, 19291626933750, 629992434638500, 92731674758364, 222703970418360, 17729846018760, -34435250727500, 7831190533734, -237935403434408, -396140980679360, -125732707842294, -61435864510000, 214369610814932, -42823304996778, -168745639485784, -11413317698500, 3529100390625, -294822259683656, 1468259592706281, 51494696465724, -334493987881062, 73416866630000, -177433452102510, -425925836434968, -500172948469600, 234385986893742, 81223357826250, -127185880481002, -63470874839400, 91571087834772, -711557083381028, -74767701645000, -33409548027588, -430415315616000, 3075564783357, 150323014209801, 122002744686250, 10732987173366, -295081725974424, 246955106489054, 442051346190402, 33747558593750, -472246542697770, -11837503901232, -72361058039156, 276535575996716, 120630191017500, -153222915221928, -114711019405568, 112384241069166, 76182013761006, 23748371705000, 211117812805080, 47001264041798, -1278322201992124, -42092331392736, -44956616265000, -529118896860656, 344308281261264, 686358193489248, 78808277820652, 34621224221250, -1225129589083366, -32489174993464, 423864166403574, 65995374456498, -147378475781250, 133457363653986, -732890186640934, -262914846738608, 46307987349768, 81085704776250, -178982481383964, -734645998571832, -1242380638084550, -3845212541738, 260076725775000, 614543971876344, 1059409864605518, 11589395828364, -1071050210849252, -109600626533750, -614123382733200, -709070815907020, -335257626315498, 61830557883828, 214751403957500, -429956345841960, 257539609806516, 301830002734324, -19953871753848, 61851568359375, -661421680034712, -661246428223588, 1185521188385664, 278609462705930, 880906904617500, -34826679653022, -1157057148268448, -1083089166614926, -50074944012702, -35524493920000, 214794017111062, -296193689366886, -1505643685465914, 12497063924260, 146141596186875, -57175161874416, -311452754522216, -83007366543324, 85851911172255, 204827868980625, 86221768813650, -322590670791216, 748664723879622, 121475396285964, 82668310937500, 388965332828374, -955490410856043, -613845971810652, -330167524486678, 198210484417500, 166756470587964, -166858220795568, -4801302120177, 140042326997696, 18376956868750, -264333459424356, 579478686064728, 39698144793212, 488343009887514, 113545818873750, 898706000316230, 208798301674638, 1048682480814358, 1214521162910036, 418848845248125, -815894413267154, -1177339216283212, -50892937328898, 639405522843184, 68518522656250, 119266972740144, -129574610784920, -124977538038972, -555958941666984, 1189921010800000, -605640522619310, 100282051724004, -336827244526598, 914765148252424, -45913180893750, 446717567201328, -326423725801964, 80131449234564, 1217470490366258, -137130464383750, 166008385790568, 192408936761448, -528252669880870, 381752316309780, -48813978267500, 2319352618222656, -709077346213680, -600817961367408, 493890620941930, -99964599609375, -26819838429806, -1029163592841156, 356150800843848, -1343948140974592, 765012403005000, -108513558200106, -89817155903148, -2641044593269928, -195083874134388, 218557209617500, 221658066154028, 200506789242018, -232970708047432, -12321666225726, 12875292123750, -228861902157696, -812388104779228, 749019231021060, -172094396785734, -138118349781875, 29673905838849, 1000233994411942, -190019117580500, 186836421998448, 59074942968750, 666244396283804, -214822241579736, 1218718952164122, 37960983503192, 193624402016250, -56804080308052, -584272263249072, -795594282901560, -722162435395520, -102855297075000, 622459670087349, -1157839129718452, 983322681229774, -84148375911615, 369810602202500, -252123865425136, -391000216755258, -373779144484900, -1223917976945296, 112244024295000, -713030756012902, -532737984024656, 652964691793842, 385910056393412, -12103101562500, -916605454856220, -1536147257464336, -948626074724494, 391344206797584, 143302024918750, 1901379796171746, -34284000709782, 303275051905812, -770562017845530, -159008186835000, -1307655084458224, 523512757648088, 636929250662898, 1221288098821304, -211311084091250, -112469324372316, -1920471741016944, -35254649578841, -393146317513872, -152209969648750, -542664929842110, 962844046444026, 319113517751284, -1231243008853136, 3465028125000, -3487875650218094, 8252116249302, -791757978323364, -436125719672780, 716355111630000, -428992118403840, -240587714528840, -1106089561884712, 977193280331514, -154239300903750, -239006312266828, -1183183848672543, -600528635264054, -968363778124236, 112284722238750, -446665491874356, -2363496141512924, -93218693629338, -397790203964746, -447422430912500, 153543347033598, -1920372822295560, 99092805621880, 55617016499892, 326906083984375, 113311852365038, 73293396726024, 447855535756244, 1316348905633068, -95044350645000, 1160555292984876, -1078492529350772, 1072180936444500, -1182922895157338, 296027915997500, 268185699788814, -2231454310045036, 492810520704306, -824405640330528, 22398270270000, -1179351648562018, -1836090516091842, 1450907809232822, -498778210044338, 136000734159375, -603520862682, 1303896353705900, -834165217121850, -2550885106782684, -43142578125000, 267625068381252, -1686846486861116, -1865124064258416, 342098909788968, 517146646488750, 212928431598620, -2321537033444742, -1224943706844056, 110565087309602, -60987055410000, -1292962736613374, -420635883763038, 737611619560632, -148897732482036, -494513583622500, -1162515553736976, 560694792195502, -612836353012964, -343527191426646, 183839199562500, 1057912193740950, -80370807721614, 1626375310459888, -491487804471472, 32624838281250, -2861545646616, -2715226543648304, 18518814794340, -1360021008546224, 675952912065000, 287827249660920, -1033062332648038, 490340266279450, 178146831402684, 309171683037500, -851236508342156, 517034004648498, 497701631912444, -233599027881416, 12121841160000, -773180521533830, 643423939735928, -683412445898424, -42955467884450, 268980689677500, -847849767195690, 418477216867142, -1401047266549940, 16466136057540, 15628701562500, 1493638082510734, -779844199592772, 654348155061364, -1886837970157096, -65999109521250, -1276451793023895, 3348785907519165, 293819186207304, -3229218010862766, -219992965867500, -7707330562932, -1480500697246800, -820325308927508, -509189206072968, 80922291883125, 49661315824854, -51030154644228, -474950096380504, 873469390814146, -225671554473750, -2284615426531038, -784574289673128, 1254100535726490, -178700919547808, -48769699218750, -4714132510152, -1374068910042212, -63205473794504, -1398501792165060, -593589587277500, -984446832203358, 171648810818982, 660878971263928, -1052370169494580, 9084758360625, 91667263552476, 1352795496118892, -120546606261816, -930696687637330, -615608292732500, 192362433107256, -1632702877846240, -809111533890676, 463446025337322, -252843271453750, 142874383511218, -1630769317387812, 428322163496500, -1495624774940764, -54238739062500, 152973665936176, 256125967624220, -444752118217575, -192470155971912, 376806227088750, -1075534006128930, 2524780127737848, -1072252440582930, 1779560175847851, -340409262191250, -2401435745108308, 199866274726932, -754538734280640, -1733128694190516, -230775238417500, -522378902884108, 1780476034098440, 977067848593944, 387635432432558, -613850373148750, -14544145826280, -991651306718268, 310531301206748, -1546163058653280, -135740722656250, -263942152635184, 280023463896714, 1302494741248206, -43720476162464, 58695001245000, -534980283118216, -780717953950236, 110114456003802, 1554358308642280, -811488453931250, -347526998456994, -641988618872734, -1358123618908904, 784631112344343, 78305119285000, -1438686756174554, 89123408626914, -1368287123749340, -234092091192476, -629008116097500, -1567802278873552, 4444960056484672, 14562854242218, 2994806501807232, 34210351562500, -1187338960112076, -266089881409892, -528739253091784, -175409187780312, 4491589602500, 1634984918180092, -44385732303426, 257179885688552, -1157584835788128, -210375647820000, 669500424290840, 239192841503510, 1732836077809974, 21696286063364, -843726377107500, 206081013569184, 3968059585045346, 1689724090205356, 1658371039653492, 59410074841250, 1800628906108272, -555154508291868, 5082668608158244, -3403559105534020, -9218717578125, -468345025166278, 6061515197688804, -14718084909570, 1045698733460644, 159220903509375, 1548533032816932, 161578197480192, 5415266060479566, -21262675934916, -586733148163750, -650449085201198, -1426076914910724, 234422663493164, 151226721696064, -963568547746875, 1374490303343200, -244370398886192, 253254352558446, 2037284044193232, 944439608522500, -264886575635556, 3279392366761680, -1451560453813200, 376203831242859, -140881889843750, 5260320321753436, -33364218988044, 2007459828127850, -834586857679508, 372892238381250, 2955956456605512, 4773825482176974, -753665841075852, 2201863741831448, 394823573162500, 66350637369630, 1334333030439980, 708326185258256, -236907650649528, -1932430388017500, -313844749506500, 151685352365904, 510241748933788, 1762227967025514, -158081152263750, 4058677519066856, -543537007332176, 420368048915112, 3302544294017915, 536483235937500, 45195895490724, 35799177212406, 846366076974864, 466975873557288, 241144277112500, 1601562141904844, -791461776676104, 2291248781033946, -2609972059646746, -556521338407500, -921975984781004, 1078218278747277, 73791205698852, -2532580132923722, -865752129962500, 347794242225822, -14393581748110, -3012428602661512, -584828029195632, 984820872620000, -215792094587202, -111210849776916, 1605666585797158, -2466068935799974, -185394287109375, 8012001452531024, 2548006764381174, 3339624114618246, 3061211631703184, -811774932185000, -118191637476630, 2619280307225784, -520863717885900, 1868652081916938, -1967741990085000, 1218072167023628, -2503836321917040, 9789433274671160, 235997926045238, 184673754596250, 3473965795214020, 8178925117243452, -1216682247921984, 1266007819567012, -18051640472500, 5435334838440, 3463001195346472, 5664569709249960, 364607916616872, -257333068359375, -424839653464698, -360043020604458, 4129209018090472, -7859864029929584, -156179901330000, 42102021784610, -286133478067566, 1002729361632246, 1097868853021568, 772770249668750, -27992860163172, 2961960562803146, -2298922350667070, 2768965009641288, -961695950325000, 2599425178560626, -46542805618500, 2661385726532556, 33144117429318, -621546533341875, -404310556838024, 8255447466172935, 2146185260424306, 1415598390133836, -118991473437500, 1535651178951708, 2372167743550724, -1198321378794458, -1895051616723414, 296709938707500, -1722246458864010, 3779922359599524, 1779683773238708, 1322920003836402, 208121357981250, 4104577272744191, -3941037442211664, 498436063114266, -508405983378740, -1737119329862500, -1158526698598044, -342015390365208, -1915308926041272, 12541963490397, 1212787005828750, 2131590739495784, -1203371023699512, 5214569902773316, -1626118880155826, -300586064062500, 3194447504613190, 689974693472094, -97666523796888, 1947261124735022, 996828207545000, -2506369723997130, 288943278817752, 864989014063192, -2022464302477758, -2634168506515625, -1622146064904612, -1102641859021374, -150578802118768, -693827883102286, -759598108323750, 145494629305828, -1114087203046352, 2210217400932372, -858274103217888, -2691569055578750, 191668255796358, 5556835298213684, 97791563225914, -2620812633621876, 80389955468750, -409325548968376, -1517635177120170, -1968152417501508, -1785444699115734, 869847661518750, 1636366820435776, 2020077011555412, -41070077078544, 2726257809042788, -1718329109762500, 2748972811958748, 846197046777870, -1385978162332568, 357077457640656, -2051467204487500, -1157089214144660, -5214576542452992, 1393775149165234, -2376258160703190, 8919820845000, 1976376093776392, -1253034419784498, -729879519718044, -812194553429320, 413996826171875, -4203614272996044, 6791134589583580, -452096819298256, -3311359627721976, -714900397698750, -2673725276894456, 564689720981124, 2452864753465830, 229239176707334, 178519751752500, 4981925565696344, 3775415522845680, -1050111999465048, 289048045172862, -2101517921045000, -2043306933397830, 1734619853820888, -3658608838712954, -844528907769408, -2365943451081250, 899404707026948, -768054381738084, 5917180139570136, -1832001731561260, 252226880859375, 336984711219922, -1165556300114640, -1052591713156161, 274012819532440, -705784737527500, 842772770126406, -1361972157037696, -244667156946312, 1191376671257826, -900403179560000, 1213261025247736, -1800416109903768, 1461955113197900, -4688054256902410, -2635240802163750, 2368900680478660, 1361647742845134, -541253654458524, 5169922149035884, -900966299403750, 1081604725492932, 4643117051334276, -4764178947331005, -2539910685935628, -909038582812500, -1845252794918188, 350098798545855, 3957211200017144, -6527597495165352, -1061435864070000, 1488676427026626, -3966104452226816, -662750039813112, 3755195314376088, 842373504530000, 1057518865245258, 1244301146302150, -2037454606571792, -4085495617313214, -3391099302217500, 431574649331478, -1560735850310028, 5221869345098012, -2902676119227414, -480306239055000, -156995437986896, 5356001146983096, -3067269043003344, -445837688984644, -24734946093750, -1006984227689226, -988483642533880, 4283585955226388, 161886585945852, -67568504267500, 919534436427474, -1359752868069948, 8570405688430552, -6625569866766264, -859861056600000, -2248825051643988, -699594128964952, 2176950947716368, -3873521592100830, 83984228141250, 18119850000984, -419188103175744, 1596813813853952, 2092739122099134, 77248517541250, -6915091513837166, -44808953348196, 7178571824538, -4180924535549454, -460231811718750, 5170773257562800, -1796663261661312, 1148918104897254, 451916345919580, -881980794347500, 408944021686884, 1896205427195510, 1554577435641264, 31204552332096, -2080221745617500, 5913713466950956, -3367446546679902, 393160733917254, -10754859755477044, -165061949647500, 6202837710371855, 421149607575888, -3324839010008490, 5131230506315964, -2504372359923750, -2579875646612040, 2478603856327622, 1326158991217040, 1364232842119872, -67136718750000, -3924035500987244, -2581513322354442, -169897678062594, 423982316052266, -1748313937687500, 5957710761404380, -974781482768984, -109369646910126, -3298622317835180, 1218442569462500, -1005782607804312, -1101930624280562, 93241605521458, -3487400484554448, -2128843815702500, -1303890392310968, 2255918604034752, 5700527383894412, -9352361187067236, -604933958475000, -1394133530987476, -580933188159478, -540450297555912, -915949392474216, -331408500781250, 1368690563782242, -1781586055966324, -4972004832791104, 167735754677178, 580058856432500, 9755187953265922, -1680073254843930, -8045885667645940, -3115295792893456, -563238111481875, 7213241337031430, 2082692953816784, 300028439773944, -2299711344097502, -1243527452307500, 23386366307457, 5049876933866808, 4670360415072748, 185863111129926, -3556761807902500, 5973626569755700, -5387822930667942, 3368428720293104, -37198251721710, -55508414062500, 12883983368874422, -621221137464620, -1837913822957385, -3423361120814144, 444756006143750, -1428905806652448, -2720025079670368, 6500394497224948, -5188559454190224, -139623638782500, 4435869205361736, -343151886824415, 7060004326505792, -5757993858154160, -1670622916983750, 7807021060489216, 4764302469343478, -1334008314636624, -9310269636317966, -1170927447686250, 2363530117489578, 3851083908774180, 599875797170420, -66014733619836, -1254346289843750, -980822881590456, -3089899720153350, 8130912016247376, -594071305596188, 451573270396875, -6145196392123784, 4387384099013456, -3467836713526992, -2164941661818105, 1629140389837500, 188004277845792, -7582083431725040, 3215085990345598, 1236736956130452, 674592487311250, -6503437225011126, -1969512825577356, -2601743397349710, -5073336973075420, -1752260809905000, -2158564309531578, 2146498721274372, 151095135945672, 694758757488096, -148855146093750, 968733544183704, 2045406133459480, 5923708807811634, -2190530597582880, -1718394833475000, 6599926459172388, 1219000457732832, 3506643561828964, -1074320468311532, -60425852883750, 1274066880791060, 3273716530011478, 114597528906204, 3339883255243580, 970159782733750, 33651621086742, -1619219095267996, 3333507100902146, -69000442653024, 330426736086250, -3649337573876584, 1993563082052928, -5939240269728028, -8564839094702908, -27230712890625, 7262614389732304, 4069975417698436, -1711194696430722, -6938045406202728, -397335620877500, 443630196998244, -3806634463783900, -2707909142368190, 1193232899011446, 1369085278568750, -541557823200992, 1094342288340204, -2154413667231972, -5659091799879758, -1808533849488750, -5438463490048744, -2228714472109998, 626140298884158, -250622562354640, 489744404625000, -1414683308989872, 3558377582569500, -510917097876498, 1464275998621260, 576911278125000, -5421200712104616, -1244996445293100, -2593234937850248, -9176560158807584, -23731209748125, 318440192151766, 9344069040684284, 1348601984629974, -11528961358201272, -82816259053750, 736639042954680, 6409882788757136, 7021370153790440, -1624180957330932, -3410890016901250, -623039094448436, -6505445367773118, 2775476291772728, -3135992516902308, 91338764670000, -1386515653451380, 3873053250276804, 705100591647576, -2480458601697195, -930788510937500, -527883463802916, -5735667952812222, 451436105200668, 4524376170755331, -867162353928750, -1292659355738856, -1959477255281538, -159383650479710, -5744520533063168, -1628995469175000, 14440468527896734, -12196418656940599, 189747538031682, -5940260357886620, 324786507660000, -7100943213738024, 4063889772844564, 959914852307810, -183190125175974, -2656699701090000, -730132801452424, 450877606563042, 4226847579556848, -17412234326864452, -267139075781250, -793894485272896, 5059602982448324, 4884214516689204, -3189080255124448, -3270556839533750, 187294888937232, 2147963222655104, -4020889840747030, 1978840687362750, -1029763608441250, -3421272280064346, -406939137662502, 1416318257296204, -2201995822857954, -357314717205000, 751343536936398, 7706603794470692, -3762319614241680, 9727573989988446, 5668564803795000, 6017933049105240, 209291916964284, 1416073473482240, 75518584519140, -2006764859375000, -5468704511518168, -4618788633769995, 7513369400840604, -13130930100864016, -89424350527500, -1432620589483532, 7077615380336166, 639963489067974, 4863170545544480, 4738606348250000, 1448644777649856, -10653837579158312, -651658652158816, 1038477448449234, -477087637992500, -2049102103286730, -472606414792200, -758267031604920, -13485084676615584, -1987188347272500, 2854970214301904, 4306840603673254, -2390093240558148, 3425403442725000, -477249755859375, 1706524279349382, -8373437249184948, 14436357698066184, -183030231747348, -9147540033840000, 2794424752020730, 2706579216156474, 5324034260033756, -6841874731236526, 268724380038750, -12199041853302422, -6120102299789224, 2911708028289492, -1018767022018768, 386380740838750, 3963349865007162, -25284650394176028, -8390690764929810, 475394930819514, 2285445134003750, -3280495028802296, -5052403801301544, -16943662343272356, -2798583557712122, -1127635773046875, -125916288540493, 14773532007199554, 202515782899734, -11806567086438886, 640488939377500, -5709123752037048, -1714298638928528, -11629976452677372, -1458257187200220, -665291426031250, -2508422653272874, -361487488037004, -402044857703248, -4811125212661104, -937310156527500, 9809471980819668, -6761159897016612, 12232340646155748, -7927785497937728, 7372611194876875, -644929131280176, -14867837667535504, 716759485122688, 6586273909025658, -1529401885937500, -1607383736898218, -1502000088117858, -7642849136177764, -11048890654577192, 37047084260625, 8033854423532976, -1600011175736227, -3002986671640992, -8172020571909574, 2039610026422500, 10084512591129888, 943795593082016, 5659281487217616, 770700899135088, -3768078779996250, -3571909783941198, -10205353838518884, -2620638632863704, -6265629035171652, -1611098006748750, -15577128784204752, -2237066156253688, 852650321116842, -647704113076348, -3231858373828125, 535754735673570, -7477880129944666, 1869474064923352, -879002071502274, 392692417661250, 5105868405588488, -784881424788552, 9235244678124880, -3355900773959074, -920269851390000, 7369728890963696, 3600232270531140, -3041636992034130, -22724088849596728, 4289806648665000, 1280736012618378, -537289503697646, 1267390673804058, 184227181861896, -773781263302500, 707025992583660, 2788636727353464, -5020265747155668, -2244043865225984, 354268371093750, -7904298674682456, -1281357858072690, -2236621820329152, 3500677767270712, -618298219402500, 2338946707094208, -13824905095461068, 929444839354408, 1266327493225308, -1280928902705000, 6107043197843280, -3678735686317416, 6794105429127446, -1955389334812038, -2945619724612500, -8049686248178992, 15621010212274816, 249300906810408, -7912619535467716, 5471275819550000, 9676702853983368, -1700314987054284, -2395546084436946, 1937899603346832, 771331787109375, 32287702292752, -471936574903464, 4847306882021692, -22224585030982078, -2748077167005000, -18990072585126696, -4034882941091888, 2239198362405630, -4656300420584212, 837295973766250, 363439763384994, -32390898680384018, 10234086946692092, 7736494648627242, 1505276806592500, 28813665713143244, -2916157467067956, 3902212682797494, -3519825905395504, -1547120287361250, -1463247736378938, -7357900242849928, -4597180081482897, -831721537437304, -99346389843750, 5894373523628466, 22961777231432, 18837457819370136, 851205294459162, -5779469375162500, -8101592167793402, 1966937345562996, -13618181349616336, 4759391289372676, -228965322830625, -10069769898956198, -4068516949246816, 2730181436495640, -1126055407878756, -1441639058630000, -1081506125889396, -395319326625236, 9637053793859060, -8727987969337374, 1657579024535000, 459553038382964, -1150543537100694, -15165264425600892, -11144467197256608, -1494015447656250, 12336841527630268, -5731600899779144, 3629400777485676, -11355025637572662, 6138844775475000, 2254374338184252, -6302462026677212, -6934130439734624, 4335386202889020, -4802929553143125, -13230524973978748, 3801010155305832, -2676225770465900, -15133657494047396, 649293024009375, -14865175213400368, -9191128623682672, -1314452310269220, -4614535223511140, 3016976981136250, 2077171920247554, 5770425514342942, 13139860866274916, 9247408321912668, -866080434375000, -37921906282961212, -9019601240068116, 1853279551501058, -9265357816666906, -5038307807051250, 18134124541163032, -2567081769679188, -372921927374592, -6783747487975942, 7072572954137500, 5259068176227588, -5413073865060296, 15590035811212688, 1416934570008744, -3019631225290000, 7216784120793558, 1534136020131339, 420909156136318, -26491912189714126, 264537042513750, -17090539018031992, 12568883215515678, 15057773513554788, -118106418448648, 1226915021875000, 2150201037411009, -15058058597740914, -2732392755386992, 16680334547516580, -4914577551411250, 4981458487270398, 3383997482819232, 25607985726243718, -2215725262878398, 867818860897500, 7764788684813096, 20715232222652158, -4568705288812728, -4383450047701120, 3033536400570000, 19826559572301666, 1291905689604168, 29089236574423936, 2080734381221148, -7429352210216250, 1465919271182892, -1236424481578008, 21757992259607208, -15840024554647448, -26736328125000, -10205971447688616, 14974417492797056, 192913942425390, 18947426510707440, 6109243659902500, 2750026701024792, -1794309546590532, -9046816429966616, 867419977237956, 3310124370400000, 1220163223711020, 1191958588209078, 15496295929144468, -7596468051074556, -7540071607496250, -2213490424832960, 32978225280390146, 7651831634524998, 448225949332190, 9129505005189375, 4396907637876717, 1183184623116536, -6964177634918236, 551735907336198, -866394461718750, 1350820236988524, -1370055517974972, 5674721065807436, 4209059149566742, 719280043436250, 25829710801623856, 20754604674081628, -2747601956556216, 1378098528257676, -1184748048098750, 10068662101893912, -26415940173514304, 3717934087287280, 12491314802974080, -429143645832500, -18844461883049724, -7585260630074280, 30981125579856588, 4422991453909872, -565535468565000, -3763115577828120, 23348845844854296, -481978207750230, -5113340348812024, 733366903125000, 4408620228288504, 4691893382090696, 5892893281214696, -424909399308876, -8273001052812500, -3934327372611016, -1439540762914854, 3728690943211290, 20080754380307136, -2069334103308750, 15988051961504752, 9429063141192104, 22690192002905970, 11567393743068158, 6361154632180000, -512429618260908, -7889336818674248, 2600450804873098, 12619994891987196, 14167365093301250, -8421492451167464, -10071215574534216, -4500583124412300, 3551770680665850, -1049388380859375, 2045547352109304, -4938305283947472, 16046282249252856, 3184611613478541, 6436460008656250, 11727563092762032, -902687542032054, -11434371008589034, 8030794201785288, -2065008243682500, 3729545568253720, -4258008761418306, 12100877098757240, 3785231604207240, -2639652081705000, -4775938779969924, -1557246388195960, 2294326163680668, 9182417791760110, 17913094393863750, -1441870078147920, 1340023871248036, -4791268745914304, 24622094104306092, 470579131250000, -9164725790107884, 135159666598278, -19854010940108492, -18328877084497306, -5691447681795000, 6507971204587940, 31347219638738852, 9363573751140972, -5540278935753884, 8970027420810000, -1449911188670211, 2261659186206128, 13119877486797677, 4310662871568420, 2650672773353750, 9158314325229142, -647806879967346, 2980231627015048, 11504344586472688, 620145121308750, -7880368758697726, -2001150004049648, -10558479515097258, -3226865354716988, -251734863281250, 10312390346440284, 19764310099429250, -607494472173808, 2032591522605786, -142892089462500, 7367179582736364, -9047313305215272, -5366833540865304, 14446375611427484, -2220889272075000, 8777372791165360, 7957729571443390, -1079733766574520, 4290426811964584, -1374589748477500, 6521860633658886, 3680287041754432, 26923435678663258, 6894289957289616, -3989459912411250, 4191071848695376, 3882123777680964, -2712714235603880, -4300587637812134, -93532725000000, -19727078350138080, 13547262396354122, 13690424076865794, 20070612410175580, 5273244181315000, 1178292869439192, -21950957905527688, -1744884083015460, -4825781724597444, 6542050672806250, -16830566969961296, -5644643567891490, -17341962646698612, 282460869710132, -127053518962500, 21332564595604708, -11557011912068886, 1162458867583035, 10666544112269064, 6017316354882500, 3517508599715250, -3629152345901228, -5405714126869164, 1504327336787070, 509252388281250, 16696472658931538, -1471653304827984, 13269373881246040, 2992954240147666, -2267123350365000, -16709183096858416, 10055978352177528, -1669204342119096, 14722703241212857, 59470143232500, -11669167518411762, -4510743328545768, 7636406071657432, 12289549157204976, 3928929059205000, 2952960172696026, -2218259236356306, -14380651805160504, -1565689176485858, 393751193242500, 11682791046815168, 14271533020221360, 5524686078020172, 27833600829445214, 1741292858593750, -1597839377384718, 16889437662199280, 28568108214495028, -11009048309654076, -9676701664556250, -155550766887174, -3978903164810112, 4534040165505284, 25298350365669096, 36374479245000, -13382413466065318, 1358899137736462, 14418482445723888, 31208039239037360, 10790908890162500, -2922955509072618, -4750320001990960, -3784137065145724, 7520009419847088, -1324450700763750, 534088828935210, -307638034691976, -23454697096835788, -15563877100713644, -70098444140625, -2856500405868312, 46971680223357136, -1619142485167206, -2611586606213176, 930143566835000, -16319030680978704, 25886724885235050, 1818427258187770, 6899589243399078, -1484278033235000, -6848585679290106, 1178720100173502, 8554411447371576, 2444127673279448, -3575972417726250, 6287516650893378, 20612087146904384, -10525596878319966, -4655603749120462, 12583096584782500, -4696861710747060, 15961074389969602, -3874708955701664, 29085399606520710, 418508789062500, -4891220382113650, 729018446639004, -16800176144537028, 60451502406836, 3431729307234375, 9024153701316240, -2593804789407988, -4600209655326555, 15541020865505656, 8298873504081250, 1754359932049200, 3442204723316180, -61089876258477, -997737575330952, -13731174196356875, 13512739225807290, 11354409864274626, 2666694988626172, 19482827666239984, -1542178045732500, -7692938725043938, 5662714970782384, 3107582650975356, 3408311235896512, 1780673135937500, -1408961438235468, -35534771898417914, 18343898688481048, 32090121940138461, -7539103770015000, -10181694826900406, 235128081986352, -8722148029630710, 244758780657144, 112223347425000, -24419977086648, 47898189231187968, -9645704791892226, 8496030665521560, 11930270514300000, 1427681306911455, 23413251491479232, -38928590981618188, -1221828567352488, -2160674875746250, -16295154115595520, 4625123735925396, 22308071809235788, -15022003483106232, -452893528125000, -4193428514337880, 42436106042003140, 4391130199920030, 3880994061898032, -849648580276250, 1971290856864906, -12306006406734614, -3714773670699492, 5428798636180302, 2681535481921250, -18908029364071338, -6537619326297780, -23215922723871764, -15570065067604974, -6054252410064375, 11330000725435352, 51898820186114732, -640217712872016, 27154935886225880, -687680622121250, 82211032518102, -22575829889868740, 19629716082714592, 10064071706567472, 4853457685937500, -3695107673392236, -5191205795435556, -23299398717867096, -18933560871059032, -112367702486250, -31299855353324892, 11891349508885662, 15450904958175900, -1530175744849372, 9161566050247500, 1929870381327300, -34381622784317784, -22397289515507128, -919814543424648, 1353465955095000, 4020436912281882, -6152068018766124, -39604965619373056, -1662538418908034, 342482502341250, 21703241698780032, 39595842454420872, -11605471742238930, -6383638727754344, 1623268887500000, -22451444813647728, -7165725806348476, -9673778339493750, 7095883289693544, -13370648748533750, -22533037178229048, -4275983033471232, -230199916742604, 28741226144593232, -1590131277540000, -24873031091069694, 26318778415861768, 3245560659854460, 1925903453364510, -12796072836832500, 1078177297910724, -73007833432076976, -13740563053709980, 24524771817663576, 4283599601017500, -36806017332674576, 127250239761216, 15148312399577774, 15747586600546734, 71132080078125], "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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-81, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [337, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [625, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [81, 81, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [84, 45, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-195, -334, 5, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6561, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-625, -625, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9209, 81, 26, 1, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [-27297, -81, -81, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-11685, -732, -4, 0, 3, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0], [-36913, -1186, -69, -1, -10, 0, -1, -2, 2, -1, 0, 0, 1, 0, -1], [-50625, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [113452, -2627, 380, 0, -3, -1, 3, 1, 0, 0, 0, 1, -2, 0, 2], [-17853, -3681, -1, -10, 14, -2, -1, 0, 3, 0, -2, 0, 1, 0, -3], [-6561, -6561, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-130321, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [210625, 625, 625, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-6804, -3645, -162, 0, -81, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-65885, -22356, -519, -63, 99, 8, -3, -7, -3, 4, -2, -10, -4, 5, 8], [112989, 8865, -459, -34, 46, -7, -11, -4, 4, -6, 8, 2, 9, -15, -12], [15795, 27054, -405, 81, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [390625, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [631578, 13552, 720, -14, 167, 10, 12, 5, 41, -2, 3, 10, 0, 20, 9], [-531441, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [962851, 51179, 517, 86, 413, 30, 48, 27, -1, 9, 8, -8, -18, 27, 44], [119176, -16463, 643, -61, 20, -7, -6, 11, 5, 6, 3, 23, 17, -15, -34], [50625, 50625, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [562696, 2285, 1264, -43, -42, -1, -42, 13, -2, -10, -28, 15, 28, -39, -37], [2394323, -135965, 2848, -438, -298, -46, -55, 3, -53, 13, 5, -42, -23, -4, -11], [-745929, -6561, -2106, -81, 81, 0, 0, 0, -81, 0, 0, 0, 0, 0, 0], [3146235, 21219, 9174, 17, 300, 35, 38, -49, -36, -8, 13, 11, -36, -11, 68], [52500, 28125, 1250, 0, 625, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2211057, 6561, 6561, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [211630, -105688, 5221, -337, 90, -78, -25, 22, -89, 59, -11, -51, -33, 40, 18], [130321, 130321, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [946485, 59292, 324, 0, -243, 0, 0, 81, 0, 0, 0, 81, 0, 0, 0], [-121875, -208750, 3125, -625, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2594385, 188566, 4765, 123, -374, -21, -126, -144, 49, -52, -29, 46, 135, -91, -136], [2989953, 96066, 5589, 81, 810, 0, 81, 162, -162, 81, 0, 0, -81, 0, 81], [3375380, 68856, 12311, 41, 1560, 18, 171, 96, -17, -89, 11, -61, -23, 28, -40], [14108087, 291550, 34068, 847, -81, 126, 205, 112, 558, -214, -137, 188, 135, 117, 25], [4100625, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-7824903, 129862, 3339, 1442, -324, -203, 176, -160, -619, 223, 119, 95, -320, 42, 51], [-2737822, 408057, 576, -36, 213, 44, 25, -191, 306, 2, -155, -35, -12, 24, -180], [-9189612, 212787, -30780, 0, 243, 81, -243, -81, 0, 0, 0, -81, 162, 0, -162], [7258012, 645842, 12490, 707, -2355, -228, -24, 144, 208, 63, 91, -141, 26, -74, -27], [-390625, -390625, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1446093, 298161, 81, 810, -1134, 162, 81, 0, -243, 0, 162, 0, -81, 0, 243], [-5728641, -625651, -11811, -1144, 3731, 398, -206, -311, 505, -397, -6, -152, 328, 203, 260], [4348303, 177973, 20203, 992, -300, -67, -247, -398, 8, -6, 406, 8, 35, -307, 330], [531441, 531441, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5755625, 50625, 16250, 625, -625, 0, 0, 0, 625, 0, 0, 0, 0, 0, 0], [-25069701, -693824, -79012, -1814, -3525, 189, -664, -216, 771, -263, -207, -541, 471, 456, -177], [10556001, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [14174611, -423100, 57461, 2863, -4475, -598, -423, -847, -1765, 350, 36, -44, 106, -863, -562], [11831340, -984487, 24505, -112, -8254, -196, 48, -6, -552, 441, 240, -595, -647, 276, 126], [-17060625, -50625, -50625, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [10010051, 588850, 46614, 1185, 1049, 522, -78, 218, 378, -291, -577, -321, 0, 10, -533], [-1898487, -1191795, 29606, 1560, -9308, 44, 301, 555, -881, 543, -529, 724, -656, -366, -330], [551124, 295245, 13122, 0, 6561, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [56137324, -2379686, 198707, 2247, -343, 299, 1372, 1432, -427, -77, 599, 1237, -799, -328, 1309], [-7303125, -457500, -2500, 0, 1875, 0, 0, -625, 0, 0, 0, -625, 0, 0, 0], [5336685, 1810836, 42039, 5103, -8019, -648, 243, 567, 243, -324, 162, 810, 324, -405, -648], [2624517, 273176, -12127, 2525, 13056, -65, -137, 709, 353, 272, -354, -263, 959, 215, 130], [-7524842, -5979935, 13555, -12087, -12230, -52, -901, 803, 1405, -117, 357, -432, 475, 230, -593], [-9152109, -718065, 37179, 2754, -3726, 567, 891, 324, -324, 486, -648, -162, -729, 1215, 972], [-23070625, -741250, -43125, -625, -6250, 0, -625, -1250, 1250, -625, 0, 0, 625, 0, -625], [6205418, -2698374, 52434, -985, -821, -282, -307, 948, 1627, 694, -267, 1032, 964, 582, 138], [-1279395, -2191374, 32805, -6561, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-23705734, -2544212, 24218, 2639, 16077, 1008, 159, 1316, 1921, -342, -951, 168, 542, 1266, -510], [91982480, -2806376, 333614, -1966, -9989, -632, 1980, 533, 527, -348, 1073, 1284, -840, -396, 1923], [-31640625, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-43918177, -130321, -130321, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-19983564, -2435182, 102865, 1422, 42773, 1263, 3379, 2267, 339, -223, 875, 2092, -2537, 773, 1815], [-51157818, -1097712, -58320, 1134, -13527, -810, -972, -405, -3321, 162, -243, -810, 0, -1620, -729], [14151366, -3031333, 168633, 7776, -10530, -2616, -1066, -2278, -5674, 1487, 1642, -1541, -2001, -502, 374], [70907500, -1641875, 237500, 0, -1875, -625, 1875, 625, 0, 0, 0, 625, -1250, 0, 1250], [43046721, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-155215196, 252190, -189180, 2424, 32478, -100, 1378, 1254, -2340, 2475, -81, 394, -631, 283, -874], [-3604996, -4532512, 85663, -10402, -11987, 788, -2527, -4181, 562, -1437, -1921, -1354, 2527, -1972, -2060], [-77990931, -4145499, -41877, -6966, -33453, -2430, -3888, -2187, 81, -729, -648, 648, 1458, -2187, -3564], [-11158125, -2300625, -625, -6250, 8750, -1250, -625, 0, 1875, 0, -1250, 0, 625, 0, -1875], [-55256558, -9833852, -74288, -19080, -12315, 1984, -1136, -4367, -1, -3884, 1489, 788, 174, 1912, 1327], [-9653256, 1333503, -52083, 4941, -1620, 567, 486, -891, -405, -486, -243, -1863, -1377, 1215, 2754], [-211460909, -20100845, -314751, -39029, 30003, 3809, -477, -407, -290, -3162, -170, -3113, 684, 4412, 620], [-25303085, -824778, 20005, -3994, 16058, 2372, 2033, 3482, 2984, 2027, -223, -883, 1349, -2464, -1238], [-4100625, -4100625, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [99667451, -8896228, 165710, -7243, -5727, -52, -5296, -4798, -3186, -2221, 1761, 17, 1742, -2594, 1129], [-159073450, 1228919, -461411, -6631, -62708, -8090, -7855, 1863, -6593, 2385, -1155, -1662, 6791, -6020, -8531], [-45578376, -185085, -102384, 3483, 3402, 81, 3402, -1053, 162, 810, 2268, -1215, -2268, 3159, 2997], [-342900389, 2552414, -346691, -10542, 61620, 4415, -1864, -1292, 5579, -1463, -2091, -467, 2864, -1998, 101], [-81450625, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-193940163, 11013165, -230688, 35478, 24138, 3726, 4455, -243, 4293, -1053, -405, 3402, 1863, 324, 891], [-261117100, 425792, -228005, 9470, 32981, -1186, -2440, 2134, -2172, -931, 3500, 1725, -1839, -2578, -364], [-549895775, -13516642, -867331, -25620, 10849, 483, 2801, -1332, -14837, 6477, 3386, -1765, -8599, 4239, 8676], [60420249, 531441, 170586, 6561, -6561, 0, 0, 0, 6561, 0, 0, 0, 0, 0, 0], [131640625, 390625, 390625, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]}