# Euler Factors of 32-152e16-1.1-c1e16-0-0 downloaded from the LMFDB on 06 September 2025.
{"bad_lfactors": [[2, [1, 0, -1, 4, 0, 0, 6, 0, 8, 0, 24, 0, 0, 128, -64, 0, 256]], [19, [1, 0, 8, 0, 28, 0, 56, 0, 70, 0, 56, 0, 28, 0, 8, 0, 1]]], "first_lfactors": [[2, [1, 0, -1, 4, 0, 0, 6, 0, 8, 0, 24, 0, 0, 128, -64, 0, 256]], [3, [1, 0, -12, 0, 94, 0, -544, 0, 2617, 0, -10984, 0, 41646, 0, -143372, 0, 451668, 0, -1290348, 0, 3373326, 0, -8007336, 0, 17170137, 0, -32122656, 0, 49955454, 0, -57395628, 0, 43046721]], [5, [1, 0, -28, 0, 438, 0, -4848, 0, 42529, 0, -313080, 0, 2009318, 0, -11529948, 0, 60231524, 0, -288248700, 0, 1255823750, 0, -4891875000, 0, 16612890625, 0, -47343750000, 0, 106933593750, 0, -170898437500, 0, 152587890625]], [7, [1, 8, 76, 376, 2164, 8128, 37464, 120032, 497426, 1437512, 5533988, 14644760, 52952352, 130307016, 446704228, 1032818392, 3336081739, 7229728744, 21888507172, 44695306488, 127138597152, 246134481320, 651068154212, 1183852945016, 2867561902226, 4843724155424, 10582652728536, 16071711767104, 29952545502964, 36430267913032, 51544953536524, 37980492079544, 33232930569601]], [11, [1, 0, -92, 0, 4326, 0, -138936, 0, 3407825, 0, -67421256, 0, 1109052726, 0, -15437378244, 0, 183500018436, 0, -1867922767524, 0, 16237640961366, 0, -119440867700616, 0, 730497553643825, 0, -3603642024364536, 0, 13576841157695046, 0, -34936984689658172, 0, 45949729863572161]], [13, [1, 0, -96, 0, 4590, 0, -145832, 0, 3460001, 0, -65542128, 0, 1045890990, 0, -14852004936, 0, 197390117924, 0, -2509988834184, 0, 29871692565390, 0, -316359333309552, 0, 2822429110390721, 0, -20104179583323368, 0, 106938210712187790, 0, -377988133027131744, 0, 665416609183179841]], [17, [1, 8, 136, 912, 8740, 48520, 348016, 1619768, 9863306, 40131104, 228055928, 872894424, 4912397072, 18566632120, 101544258168, 368976406880, 1870520792531, 6272598916960, 29346290610552, 91217863605560, 410288315850512, 1239385258177368, 5504715697959032, 16467343961384992, 68804030222359946, 192084847537792696, 701598133258659184, 1662872408846353160, 5092118353388111140, 9032975166010214544, 22899384412078526344, 22899384412078526344, 48661191875666868481]], [19, [1, 0, 8, 0, 28, 0, 56, 0, 70, 0, 56, 0, 28, 0, 8, 0, 1]], [23, [1, 0, 120, 152, 8614, 17432, 458360, 1185608, 19809177, 57754120, 728476304, 2208389032, 23277577046, 69726559400, 650882385984, 1865364199424, 15987595135380, 42903376586752, 344316782185536, 848363048219800, 6514020438129686, 14213949287389976, 107840637278074256, 196642697445091640, 1551276168475723737, 2135461004651824504, 18988255679888155640, 16609379699955575464, 188772574857423045094, 76613527014343042216, 1391140358944649977080, 0, 6132610415680998648961]], [29, [1, 0, -216, 0, 21422, 0, -1343568, 0, 63937425, 0, -2636294320, 0, 99364061438, 0, -3391411721192, 0, 103804339922532, 0, -2852177257522472, 0, 70278312737930078, 0, -1568129342555836720, 0, 31984467510212965425, 0, -565248776030684457168, 0, 7579420285827557796302, 0, -64272578257972684111896, 0, 250246473680347348787521]], [31, [1, -16, 456, -6000, 97128, -1082288, 12939608, -124576208, 1213057852, -10235003664, 85127085384, -635916543088, 4634920976472, -30873053600816, 199962697593752, -1192765741077840, 6912725180905478, -36975737973413040, 192164152387595672, -919739139821909456, 4280446855112397912, -18205750735464358288, 75550601631101298504, -281591706232303102704, 1034606169868231036732, -3293747869729159915568, 10605668739243068466008, -27499289643256191733328, 76504110863814261186408, -146505277784670255546000, 345166434460683122066376, -375444191869514974879216, 727423121747185263828481]], [37, [1, 0, -448, 0, 97096, 0, -13538240, 0, 1361799228, 0, -104985163840, 0, 6427935625976, 0, -319300247763520, 0, 13017076317741510, 0, -437122039188258880, 0, 12046986260714806136, 0, -269363207417479850560, 0, 4783291808715479372988, 0, -65099769294042220045760, 0, 639178307959044065643976, 0, -4037403460605763718260672, 0, 12337511914217166362274241]], [41, [1, -16, 464, -6128, 103464, -1160336, 14776304, -144687216, 1528512444, -13344026832, 122620584016, -968049976624, 7943326102680, -57198140720464, 425264208731120, -2804115387996592, 19035733043416454, -114968730907860272, 714869134877012720, -3942153056595099344, 22445941111235139480, -112154592669795445424, 582460556168298411856, -2598806256314740774992, 12205057577120999681724, -47367980656156864302576, 198337294455242163505904, -638566587345504851036176, 2334508960437087076684584, -5669031810986403520479088, 17599161418440819284202704, -24881573039864606574217616, 63759030914653054346432641]], [43, [1, 0, -484, 0, 114486, 0, -17626832, 0, 1981003681, 0, -172489189384, 0, 12041902947430, 0, -687681116820964, 0, 32467415307528932, 0, -1271522385001962436, 0, 41168869838576631430, 0, -1090366788123980671816, 0, 23154367774192802849281, 0, -380941968007232825369168, 0, 4574818291455403321844886, 0, -35760512954563035822477316, 0, 136614025729312093462315201]], [47, [1, -24, 604, -9000, 129654, -1364744, 13663088, -103340104, 743408705, -3753102320, 20107113688, -73655190128, 841244643814, -8438733466288, 110463044562652, -929720052107744, 7623239014560580, -43696842449063968, 244012865438898268, -876134624670419024, 4105005504770943334, -16892450095492490896, 216738908087635323352, -1901408408775324774160, 17701517781603518029505, -115651059480009144467768, 718666572461782712531312, -3373864455830615286445432, 15064690551007618963258614, -49148997355085248595943000, 155026859657351115237958876, -289520360419688837729168232, 566977372488557307219621121]], [53, [1, 0, -568, 0, 160894, 0, -30026272, 0, 4120038209, 0, -439876082224, 0, 37748747628942, 0, -2653751888034360, 0, 154373495002173956, 0, -7454389053488517240, 0, 297855775939961901102, 0, -9749572338422433470896, 0, 256512303375318247692449, 0, -5251218754586834228823328, 0, 79040610141481697924809054, 0, -783809476848457660443571192, 0, 3876269050118516845397872321]], [59, [1, 0, -548, 0, 149614, 0, -27223768, 0, 3714016473, 0, -403655596264, 0, 36158344547598, 0, -2721990080866300, 0, 173995217146714804, 0, -9475247471495590300, 0, 438143714045626648878, 0, -17026408457591565917224, 0, 545330664000246849979833, 0, -13914523912769895752018968, 0, 266192842532489447903433934, 0, -3393975644664713736329593028, 0, 21559177407076402401757871041]], [61, [1, 0, -244, 0, 29622, 0, -1899400, 0, 41603905, 0, 2312073928, 0, -36116466618, 0, -26518643483884, 0, 2619416083527844, 0, -98675872403532364, 0, -500062854274635738, 0, 119118914320867760008, 0, 7975772837744143982305, 0, -1354923526412479212339400, 0, 78627125316643097181784662, 0, -2409947138140161615207435604, 0, 36751693856637464631913392961]], [67, [1, 0, -588, 0, 169518, 0, -32357584, 0, 4649137449, 0, -538935344360, 0, 52394328139710, 0, -4360644811515548, 0, 313763277516961716, 0, -19574934558893294972, 0, 1055804446057001114910, 0, -48751219344498498716840, 0, 1887864446557036491748809, 0, -58982627379159203433979216, 0, 1387118143275552677431691598, 0, -21598548395783374684497385452, 0, 164890958756244164895763202881]], [71, [1, -48, 1736, -45392, 1023320, -19656208, 341176280, -5320623216, 76677226460, -1017267786160, 12628067475528, -146195754207696, 1595239111172456, -16351111226237968, 158618453554958872, -1450800952220977264, 12582389644272003654, -103006867607689385744, 799595624370547673752, -5852242570094057364848, 40537707411837987858536, -263770670733106873285296, 1617659028988682519385288, -9252172748385601117668560, 49514589752675902112036060, -243942597341372593851303696, 1110611885227541511399112280, -4542987847380927280892352368, 16792356542152554849891500120, -52885650646384906629388190512, 143604021767510091018502617416, -281913886050503680985631866448, 416997623116370028124580469121]], [73, [1, 0, 536, -1120, 147092, -579616, 27766192, -150796832, 4101554010, -26103894688, 505997599368, -3380015424768, 53617484871472, -349476700311680, 4906400840426056, -30047520448572192, 386485319320789219, -2193468992745770016, 26146210078630452424, -135952377525148818560, 1522642257193915880752, -7007013960988369415424, 76574755204447675385352, -288380127518875244856736, 3307739623813136420814810, -8877648770420109487651616, 119328703931708284765202608, -181841006582390380730643232, 3368708051254345134395046932, -1872471448281043552253956960, 65416127525304171529100739224, 0, 650377879817809571042122834561]], [79, [1, 48, 1968, 55984, 1411176, 29684144, 568317968, 9647517232, 151592009148, 2172183728496, 29120808026032, 361438045823728, 4225563566924632, 46125373352746480, 476152292600532112, 4609541467783418224, 42278890741805487110, 364153775954890039696, 2971666458119920910992, 22741607952464771752720, 164586043202363337295192, 1112165251743957468435472, 7078903125763633610122672, 41714418623252695877886864, 229981572589866788137220028, 1156270337525012205031373008, 5380991423741489903518807568, 22203555982807647215857994576, 83388522171633805072208384616, 261346153134182418429620842576, 725778956846199073987032217008, 1398452136362188459633549881552, 2301619141096101839813550846721]], [83, [1, 0, -888, 0, 388120, 0, -111209896, 0, 23425602588, 0, -3849513927800, 0, 510595309926440, 0, -55757709197515496, 0, 5065547522744531590, 0, -384114858661684251944, 0, 24231996119583475907240, 0, -1258561520844097708758200, 0, 52761302742128615625438108, 0, -1725537326760879492654531304, 0, 41486149803529155606071687320, 0, -653892353820733199622700026552, 0, 5072820298953863752478356399681]], [89, [1, 16, 784, 9648, 279528, 2921168, 66105136, 633916528, 12201343804, 110242523088, 1853439919376, 15728851778800, 237022894419672, 1889658824712080, 26116400775484080, 195374384142248112, 2497870072360200582, 17388320188660081968, 206868010542609397680, 1332150891998450325520, 14871347564196615764952, 87830843397328597881200, 921124963850136237560336, 4876173958433415850473552, 48031673433348845879256124, 222096715000815351300634352, 2061271836684325042345074736, 8106746777549771638945571152, 69040733527790595554762618088, 212083743810190772538704984112, 1533826213526106068061844835344, 2785929244975988572602126333584, 15496731425178936435099327730561]], [97, [1, -32, 1224, -30208, 701656, -13835328, 251466072, -4136913696, 63860434780, -912140395744, 12378432758088, -157821070861376, 1920270260103912, -22168631705505152, 244958827395058840, -2576206069323633632, 26006301900219682758, -249891988724392462304, 2304817606960108625560, -20232711604558503591296, 170000145452682314647272, -1355263235210743791213632, 10310887952383372600615752, -73699379179302284326351072, 500501916896290892675103580, -3145010278672650179132512032, 18543714858829716638721309528, -98964295305838053997381329984, 486838655646615045535017287896, -2033080233972168537952522057216, 7990716036117837201205873901256, -20264038052377260353384830546976, 61425365346268570446197767595521]], [101, [1, 0, -1008, 0, 491768, 0, -155739728, 0, 36203477468, 0, -6615356570864, 0, 992187897049160, 0, -125642011480016848, 0, 13658111517176284806, 0, -1281674159107651866448, 0, 103247470434282306313160, 0, -7022334303382868208689264, 0, 392031783432789066884491868, 0, -17203354935432287854133067728, 0, 554136491417938485590117493368, 0, -11586700069435232905428630692208, 0, 117257864492369852051862561201601]], [103, [1, 0, 680, -1344, 262744, -696512, 73738104, -220194944, 16141314524, -50914257792, 2903356072488, -9164115247808, 438911649685608, -1354688601050944, 56592638926683320, -166010203059742464, 6281594565869270086, -17099050915153473792, 600391306373183341880, -1480304810960594884288, 49399892853278553420648, -106237212206811343041344, 3466758985995714194794152, -6261811503588534678808704, 204473343132705898286662364, -287304458145982216515988352, 9909784574738031396177135096, -9641355017660250384968608064, 374610118453512440842747535704, -197370931087890243776235525312, 10285610129014756453934178714920, 0, 160470643909878751793805444097921]], [107, [1, 0, -708, 0, 271182, 0, -73952216, 0, 15895660857, 0, -2832852413032, 0, 429913947491886, 0, -56413171665885020, 0, 6455300811088834164, 0, -645874402402717593980, 0, 56352948701571367617486, 0, -4251347598545802032896168, 0, 273117048037926151727215257, 0, -14547520207897110927489013784, 0, 610753819477573994369259892782, 0, -18256021783424826206628127275492, 0, 295216374856540727739668685278401]], [109, [1, 0, -1176, 0, 656030, 0, -232643616, 0, 59446725793, 0, -11783078505136, 0, 1903958819332718, 0, -259384640923549656, 0, 30388726409978407172, 0, -3081748918812693462936, 0, 268759325556737720011598, 0, -19761402267011790187779376, 0, 1184513249859325598261948353, 0, -55075204564415747841600458016, 0, 1845192476793032269471668154430, 0, -39298709840298381596672770859736, 0, 397030588105939686862303733490241]], [113, [1, 0, 576, -2656, 185864, -1542624, 49119168, -455078464, 11190844156, -101409383488, 2107929484096, -19140430637856, 335186092471224, -2994314130087072, 46869876234818240, -390279474157269376, 5720425585825245574, -44101580579771439488, 598481449642394106560, -4320486875360245927584, 54651207821335041639864, -352650027541374327275808, 4388607483789852392006464, -23857627136273895763781696, 297502346602390823210958076, -1367074790929464061840772672, 16673832591291118576416925632, -59172914716018589053043486688, 805631801494027663928670130184, -1300911749014330557394567580768, 31880174668616245225789764569664, 0, 706732552679793116819634555191041]]]}