# Euler Factors of 32-5292e16-1.1-c1e16-0-7 downloaded from the LMFDB on 24 April 2024.
{"bad_lfactors": [[2, [1]], [3, [1]], [7, [1]]], "first_lfactors": [[2, [1]], [3, [1]], [5, [1, 0, -16, 24, 105, -357, -80, 2232, -2857, -6027, 16041, -777, -31496, 32724, 43664, -15327, -229716, -76635, 1091600, 4090500, -19685000, -2428125, 250640625, -470859375, -1116015625, 4359375000, -781250000, -17431640625, 25634765625, 29296875000, -97656250000, 0, 152587890625]], [7, [1]], [11, [1, 6, 61, 294, 1701, 6204, 24845, 59553, 143666, -78393, -1097631, -8096325, -21925205, -68059401, -34454504, 43343730, 1352446632, 476781030, -4168994984, -90587062731, -321006926405, -1303921237575, -1944520271991, -1527657796203, 30796082997746, 140422858842123, 644415314211845, 1770073604470644, 5338466668802421, 10149677370315714, 23164739848577701, 25063489016493906, 45949729863572161]], [13, [1, 3, 53, 150, 1317, 4452, 23056, 90522, 327950, 1218621, 4082037, 12551466, 42977824, 136810599, 317458436, 1828010007, 2359677564, 23764130091, 53650475684, 300572886003, 1227489631264, 4660271465538, 19703212929933, 76466660535057, 267518889951950, 959940492242706, 3178465388070544, 7978698074252724, 30683578106307477, 45431265988837950, 208680948442062317, 153557679042272271, 665416609183179841]], [17, [1, -18, 305, -3522, 37620, -334320, 2773201, -20420964, 141592109, -897329310, 5388506757, -30030099132, 159249790351, -790323555672, 3741800228576, -16649956115280, 70765822909773, -283049253959760, 1081380266058464, -3882859629016536, 13300701739905871, -42638446463264124, 130065453654053733, -368208918309405630, 987712207943633069, -2421678756781683108, 5590756300719067249, -11457780373567864560, 21918248564583608820, -34883923831894710114, 51355237100617283345, -51523614927176684274, 48661191875666868481]], [19, [1, 0, -118, 0, 7479, 0, -332465, 0, 11419853, 0, -321845868, 0, 7780360357, 0, -167488957369, 0, 3305457417861, 0, -60463513610209, 0, 1013944342084597, 0, -15141522406269708, 0, 193949793344452973, 0, -2038364943399809465, 0, 16553382279695818119, 0, -94282788922380326278, 0, 288441413567621167681]], [23, [1, -21, 283, -2856, 23904, -177009, 1214978, -7994925, 50784536, -310700127, 1817756595, -10184685783, 55106115085, -290568927984, 1499561670325, -7546165977213, 36821082385998, -173561817475899, 793268123601925, -3535352146781328, 15420950351501485, -65552131046611569, 269093213526437955, -1057879698795731769, 3976987051198414616, -14400080441947075275, 50332299741336834722, -168655902438586304343, 523847182423013753184, -1439527849690550845848, 3280772679844466195947, -5599339944752216157747, 6132610415680998648961]], [29, [1, 6, 106, 564, 5445, 23700, 153455, 499140, 2268674, 3839766, 25367247, 108756381, 2283543946, 15452150286, 152754700246, 806878620189, 5726182499856, 23399479985481, 128466702906886, 376862493325254, 1615107245670826, 2230718335391769, 15089030105167287, 66235488555503694, 1134896030677883714, 7241096842395252660, 64559628486082344455, 289152081447228147300, 1926521494553778928245, 5786994594108651634596, 31541172663634743128986, 51775132485589106645694, 250246473680347348787521]], [31, [1, -6, 128, -696, 7467, -41745, 298711, -1778985, 10180130, -58737741, 320070333, -1687070526, 8941505953, -50372743224, 219778671713, -1637243989362, 5894911299924, -50754563670222, 211207303516193, -1500654393386184, 8257668519220513, -48299396836503426, 284063598716395773, -1616028801884863251, 8682541636984247330, -47035691229501298935, 244831985232322047511, -1060676868040419670095, 5881478006549101065387, -16994612223021749643336, 96888823708261929001088, -140791571951068115579706, 727423121747185263828481]], [37, [1, 2, 379, 622, 70301, 89092, 8526618, 7832520, 762165036, 479111772, 53561290848, 22288180656, 3072501028875, 866007711942, 146915731669395, 31388163023538, 5915222541114678, 1161362031870906, 201127636655401755, 43865888632998126, 5758361600777398875, 1545550641017895792, 137423618428843604832, 45482979872477909676, 2677089029446959306156, 1017927926179736504040, 41000962064376734804682, 15851036759575687114996, 462788108962560320289581, 151500057462402571956934, 3415571231182108145582131, 666892535903630614176986, 12337511914217166362274241]], [41, [1, -6, -142, 1146, 7575, -89148, -186515, 3858942, 5165546, -137269398, -383379603, 6275799867, 14048576428, -262470296220, 63020850350, 4818424458177, -18114488698896, 197555402785257, 105938049438350, -18089715285778620, 39697919375761708, 727090330826925267, -1821093078123196323, -26733801933571993638, 41246498577585065066, 1263347896674100649262, -2503527301233075072515, -49060732519440116018268, 170918439025273859563575, 1060168155253005619201866, -5385950261678009349906862, -9330589889949227465331606, 63759030914653054346432641]], [43, [1, 2, -137, -620, 8660, 62377, -131688, -3324402, -16902063, 47132751, 1398120027, 5063156292, -36164979717, -388120390392, -815732360646, 8046953157708, 93229603031718, 346018985781444, -1508289134834454, -30858287878896744, -123640868821459317, 744326723152573356, 8838024276744682323, 12811558914472065357, -197554697448629590863, -1670819884308064742886, -2845972882871776182312, 57966555586996458794539, 346050402704293911632660, -1065323757055020286850660, -10122293956146975015866513, 6354140731595911323828614, 136614025729312093462315201]], [47, [1, 18, 62, -192, 3579, 45093, 305398, 2890521, 680339, -61965303, 840301383, 4943829948, 3397740844, 111292595154, -711051013816, -459408198168, 101830826927016, -21592185313896, -1570711689519544, 11554731106673742, 16579891439390764, 1133842714030869636, 9057789548613500007, -31393055166295295289, 16199746956175816979, 3234870134243483171607, 16063669786558025304502, 111477075485783366779179, 415849318046926961524539, -1048511943575151970046784, 15913353143635379378730878, 217140270314766628296876174, 566977372488557307219621121]], [53, [1, 0, -542, 0, 140727, 0, -23469289, 0, 2850317849, 0, -271208186376, 0, 21201779873365, 0, -1403502501960773, 0, 79972351708005549, 0, -3942438528007811357, 0, 167292241256968938565, 0, -6011156183978801778504, 0, 177459906852716410682489, 0, -4104484584487161380252161, 0, 69133391819336301564164007, 0, -747930874034971922465520398, 0, 3876269050118516845397872321]], [59, [1, 15, -79, -1428, 12489, 104847, -1041029, 349611, 90472109, -405874929, -2700289995, 51789934650, -105592258130, -2611128991413, 30211727298980, 82730812140738, -2120569425031284, 4881117916303542, 105167022727749380, -536271061127410527, -1279499510566394930, 37025882724907060350, -113899672974553221795, -1010081244706656202851, 13284059355455828382989, 3028678631155771878729, -532087362571813417041629, 3161754435765428589268173, 22220396556393524101126809, -149900940881517110462658012, -489277510818453257609558119, 5481146798409254847904543485, 21559177407076402401757871041]], [61, [1, -3, 377, -1122, 74481, -239253, 10537021, -36111681, 1196449751, -4163017557, 114788648541, -392960339076, 9549397216930, -31727661059931, 697503406538990, -2222103948983802, 45117478421428590, -135548340888011922, 2595410175731581790, -7201576235044198311, 132219435511455288130, -331892848823295357876, 5913954145225576457301, -13083293603491395020697, 229368166900475916127031, -422295273271822885701021, 7516509240392938887271621, -10410835330288858707160233, 197698565954658514657906401, -181668952498875391847805882, 3723565865077216921857390257, -1807460353605121211405576703, 36751693856637464631913392961]], [67, [1, 7, -266, -955, 40565, 13739, -4302801, 7895916, 333320832, -1176952818, -19419549429, 109762768995, 793012008891, -6957819527658, -12193565486865, 198908265810519, -461225363558112, 13326853809304773, -54736915470536985, -2092654674597003054, 15980080945615616811, 148193470233990657465, -1756661023798267731501, -7133171602970208650214, 135350816131487305245312, 214820510244255612736452, -7843308328263123714518649, 1677945895981355586703337, 331931992366431850069116965, -523571269112933364394735585, -9770771893330574262034531514, 17227413601398644093587200301, 164890958756244164895763202881]], [71, [1, 0, -389, 0, 95718, 0, -16982206, 0, 2417461733, 0, -285171142929, 0, 28739565041956, 0, -2501948752776044, 0, 190114711967546784, 0, -12612323662744037804, 0, 730320658924937488036, 0, -36530504375280971544609, 0, 1561084450736247035963813, 0, -55281216563421310590909406, 0, 1570702012568657160147280038, 0, -32178550960576857952878754709, 0, 416997623116370028124580469121]], [73, [1, 0, -556, 0, 152454, 0, -27296363, 0, 3604910159, 0, -380031280554, 0, 34108990053451, 0, -2750292903642481, 0, 206651113497718443, 0, -14656310883510781249, 0, 968635319804504379691, 0, -57511739808257481284106, 0, 2907216178097046148868879, 0, -117309554685764491978530587, 0, 3491508832879625901606222534, 0, -67857027806099103302574647404, 0, 650377879817809571042122834561]], [79, [1, 1, -488, 305, 130067, -217447, -23515767, 58439790, 3200266602, -9493225932, -346875510927, 1047490944351, 31673904979161, -75618180243888, -2595852946891617, 2451851231878899, 205361771983476300, 193696247318433021, -16200718241550581697, -37282711969266295632, 1233701164524624262041, 3223188713209797452049, -84321085333791261977967, -182307046783172447875188, 4855152655943933908975722, 7004102100389058212513010, -222653774250725686723318167, -162649010117777843421951913, 7685855565356762107863886547, 1423809958308188725725820895, -179969578730155054931743761128, 29134419507545592909032289199, 2301619141096101839813550846721]], [83, [1, 0, -334, 1272, 54816, -395796, -5397056, 60133572, 310945691, -6455120304, -3389068248, 563598757704, -2368219763012, -39202056035964, 437295746267318, 1352773893773628, -45259898774669136, 112280233183211124, 3012530396035553702, -22415226014635747668, -112391733711567422852, 2220038412940365363672, -1108023238374142687512, -175166473713520541086608, 700340564456406511822331, 11241385299829020086709516, -83740943185656474592046144, -509718524131700221651133532, 5859282664202448195667385376, 11285019457016886870727157736, -245945997946086586344574109086, 0, 5072820298953863752478356399681]], [89, [1, -42, 1829, -49806, 1316640, -27447804, 550806541, -9448612584, 156088957169, -2289521508606, 32402254220097, -415565591285268, 5151323220421219, -58530239245292676, 643549640383392056, -6524001557547202080, 64039715357719571037, -580636138621700985120, 5097556701476848475576, -41262004230514732507044, 323205562964564244011779, -2320542966695772829897332, 16103314132350317290643217, -101268592597668767484422574, 614458041485196984183168689, -3310381924955529000751270056, 17175095297055435836237734141, -76172406594833892535635336156, 325197444950166744409227889440, -1094842759557458708236187856414, 3578275694565367345006523219189, -7313064268061970003080581625658, 15496731425178936435099327730561]], [97, [1, 3, 392, 1167, 75243, 248802, 9281977, 31870980, 787182476, 2086019346, 40966656945, -99548858823, -1131878124686, -48785193558327, -618766130152816, -7413615555033420, -81803373889459032, -719120708838241740, -5821970518607845744, -44524928960458978071, -100204356558079930766, -854859922909157537511, 34124078370715192081905, 168546784544955231574098, 6169490382307235837335436, 24229308865758474939702660, 684475378508380553051818873, 1779684196911205828344399906, 52206780768379741456199769963, 78542261422322586195398346159, 2559118207645581848752207981448, 1899753567410368158129827863779, 61425365346268570446197767595521]], [101, [1, 24, -70, -5256, -4599, 595125, 223942, -48959652, 72809495, 3340968975, 6740798625, 40489006041, -1528583249960, -26697096156216, 145886551374584, 1600765603234227, -10527651534034836, 161677325926656927, 1488188710572131384, -27506044866845501016, -159064985952720833960, 425543522676506126541, 7155493571581013723625, 358197094839022129001475, 788422498941441699005495, -53546450348151415555366452, 24737128800883596038065942, 6639621248091965148598982625, -5182268313576928745320863399, -598181828195736918031322518056, -804631949266335618432543798070, 27863254928879964844006945236024, 117257864492369852051862561201601]], [103, [1, -21, 812, -13965, 319461, -4512714, 79244965, -954264933, 14229491522, -152019004647, 2067131644131, -20426157497451, 265387121566411, -2505915447237960, 31423125463666025, -284456934283756077, 3405574070735893668, -29299064231226875931, 333367938044032859225, -2738281468913994316920, 29869554338353658058091, -236795148243635126346093, 2468263286902388114521299, -18696420086324716515937089, 180254941334283332907407042, -1245099294847010765437107939, 10649860644405166454496283285, -62466515676923957025511731558, 455474998672767172091712733701, -2050807330835109564237447255195, 12282228565823503294991989877228, -32717315748616056190970042000547, 160470643909878751793805444097921]], [107, [1, 0, -893, 0, 395346, 0, -115166986, 0, 24884335829, 0, -4282066447206, 0, 617594522628337, 0, -77642264619738773, 0, 8738073597767366547, 0, -888926287631389212077, 0, 80954043605907885253537, 0, -6426227085956257762983894, 0, 427559219156840865422952629, 0, -22655089282484836744129131514, 0, 890394935929305663273777100146, 0, -23026309961297132489433499515557, 0, 295216374856540727739668685278401]], [109, [1, -28, 1270, -27170, 749375, -13379102, 283909437, -4415005404, 78467655429, -1088203759602, 16877697865800, -211610871996342, 2929916311554189, -33468534839506260, 419182246694750205, -4377980225089672416, 49970170026619717437, -477199844534774293344, 4980304272980327185605, -43342723204670952381540, 413581598422892371086429, -3255895567708493863729758, 28305588961474089143137800, -198927904397225675866935738, 1563517187888439838716179109, -9588920565649078058674938156, 67211688802769920854577635237, -345237880800743919080576483318, 2107740670848556555241881199375, -8329791131193495506315914499930, 42439933245900463118855798462470, -101989508871250561762793619612172, 397030588105939686862303733490241]], [113, [1, -9, 364, -3033, 52389, -237186, 2979275, 5020110, 121717334, -2673134766, 66486506355, -1086233391009, 11091008349478, -124195758774057, 526937362729384, -5343226616384802, -2229687647686152, -603784607651482626, 6728463184691504296, -179201687747810523129, 1808359642211353627558, -20013146125253139229137, 138421698430641666330195, -628883150046813648807822, 3235787397483526266640214, 15080620973294204999970030, 1011334976061053137071754475, -9098125628690844342584565282, 227081330695942276533159188709, -1485566767605596604133179018249, 20146499269750543857964365109996, -56288433399275557976785053068313, 706732552679793116819634555191041]]]}