# Euler Factors of 8-315e4-1.1-c7e4-0-0 downloaded from the LMFDB on 13 June 2026. {"bad_lfactors": [[3, [1]], [5, [1, -500, 93750, -7812500, 244140625]], [7, [1, 1372, 705894, 161414428, 13841287201]]], "first_lfactors": [[2, [1, 4, 211, 656, 39588, 83968, 3457024, 8388608, 268435456]], [3, [1]], [5, [1, -500, 93750, -7812500, 244140625]], [7, [1, 1372, 705894, 161414428, 13841287201]], [11, [1, 3032, 8724556, -9607116968, -435979430040906, -187215531172417528, 3313148689087666765996, 22437557830990741426871752, 144209936106499234037676064081]], [13, [1, -952, 210831564, -26422048232, 18428705438718038, -1657944342660471944, 830123221453648333557996, -235205431677924773854601176, 15502932802662396215269535105521]], [17, [1, -50464, 1960031020, -46024396904864, 1066565176033263846, -18885589951567201005472, 330025763136605693456817580, -3486655352986072696098064678688, 28351092476867700887730107366063041]], [19, [1, 15672, 559905228, 38272837605240, 941509224802953686, 34211007906660474312360, 447368020576790092266084588, 11193091216506544879319110598568, 638411683925748518131605316913942641]], [23, [1, -89656, 4501325212, 69687633399784, -14152756109912601690, 237274227540791687503448, 52183126426235688786211884508, -3538864345925074482707249207239688, 134393854047545109686936775588697536481]], [29, [1, -152032, 21473699900, 2815235970024608, -382873999845344403146, 48562472263572119686211872, 6389676191254491671372003351900, -780356342640760021946811056889900128, 88540901833145211536614766025207452637361]], [31, [1, 174768, 55891141180, 3637198052560944, 1354424009706125448198, 100068826465389947581880784, 42306460348770301611085513918780, 3639632101360254540273669676094710608, 572964121067545096123347421337293637543041]], [37, [1, -336624, 92883209980, -39975242594106384, 23035772168408103584406, -3794924818305575435818917072, 837069181708535288931856155696220, -287992568846827398122845239304939693488, 81217248802771228597652036390959994837496721]], [41, [1, -831320, 573127348636, -181506743184224680, 87228935740773918327846, -35349213973348823367359583080, 21738277418034421796186885997202396, -6140860334420605731692809636854205060120, 1438626275603521989270100382252682485138269921]], [43, [1, -487304, 471477191052, -161247674046157384, 171589359138241375519670, -43830118803460751129212464088, 34835260740487680652172019569562348, -9786728567651675871847741250565644522072, 5459046029871041534743397034507955551606171601]], [47, [1, -1694344, 1687980559676, -1587664985783234536, 1359388414544481144089158, -804347789347346812737709910168, 433248882995410995177173171242304444, -220321361008752259522216854860906666757368, 65877941798660252683780571409941608871644628161]], [53, [1, -1622704, 4508893590556, -4582392561753692432, 7501982733294741785195670, -5382987589398270448438240613584, 6222030856301165872690417541415642364, -2630465246610532912098783427681622969440112, 1904251686165483303166544735375573842653419591761]], [59, [1, -1791904, 6532959030380, -9049056531588830368, 19996563806201149547597878, -22519947973549612872518718183392, 40461138388142561443598622350917679180, -27618938526968858460197297088938145808903136, 38358032782038398419973086399760468678777161743121]], [61, [1, 6305568, 22780335900988, 55492549833610211616, 109033144063085193418283190, 174398813442116828119133797419936, 224997562747777092816370536526902991708, 195727004166058794411758688039566755911769248, 97551820892064552722266841889541788960852432978481]], [67, [1, 5721352, 23595305900076, 75571221219427221896, 212381907359942818791408854, 458015377473014319651872295752408, 866708089109021233831821996541108109004, 1273706968339438265387207526392412982357816984, 1349256365417755877454657051946796697206085388680241]], [71, [1, -806800, 20155152959804, 15073864590324028400, 183579447855383905423305766, 137098609700312363507421182304400, 1667258654589394616679153494435606819324, -607003524325314492729820485814822206496002800, 6842798698940938981814244812733146152009703886272161]], [73, [1, 2063992, 35421614540700, 62409042187233168968, 548035609699186084024604966, 689457560237501908656921575781896, 4323031443930223413107391227037233646300, 2782838942563894765851082998271740545407266616, 14894985451961941943846586557477384171894488107677281]], [79, [1, 9897216, 96954696383292, 513093594269442893568, 2813371101953193365972122310, 9853402685731574370493198222125312, 35755934147563830234444894313442186021052, 70094180993142596924516411414639855871152081664, 136006152866792691625201101984747368303641150837104961]], [83, [1, 5170384, 70407618174284, 279148202071877952208, 2651947316215878689342400214, 7574979845085181476800260609746416, 51845724296051800216492649280524464598636, 103314847472957464500982046960393194207059305072, 542233801012015735135407853098133122208235840693558641]], [89, [1, -12345528, 180750343764508, -1401699118121714909640, 12012508395041795021301848166, -61999023116409234373487891074999560, 353621958379920053707877674850805349963228, -1068316185818615084229526299638760190674022534392, 3827543948647425430322045212330289877339037312647605281]], [97, [1, -13936104, 198193159922940, -2021704928165955054744, 23378442404130111756477733766, -163350289916755843964650528384818072, 1293876847422470350922636784580498338340860, -7351023282109649736691480774239641702716392237288, 42619520516862344959898006540158454742326868747150111361]], [101, [1, -18185480, 521732911203052, -5994463233227771498200, 88954331310094599790726397238, -642687594924918240198592819442238200, 5997185276253024615288918755657459500795852, -22411638983349681244567489388941798279896115693480, 132129096689825080931822600853816049099831724850779782801]], [103, [1, 9423808, 405988255359324, 2299554094664735853248, 66393641025938802279546561638, 282816148315890611123839688548947776, 6140936634683665317618858013796997201705756, 17531058867232524211585535102689982889664542773824, 228792767573726113549107350198718474022130892363602038561]], [107, [1, -8240792, 354518992836236, -2518777361172995481176, 82646992097290074276199477174, -404460602994481642801012372383503368, 9141393299231856393549477921300859864989164, -34121513294249033028682226612865118525873840276744, 664883836375406516433586250657527435394385613490936917201]], [109, [1, -22792120, 869473339088428, -12551120975787613968040, 250030880838489596422423913878, -2294394015384270613475153617635858760, 29055425566931544997375111103424439081708108, -139232678995859509924146479516734916991289483685080, 1116713952456127112240969687448211536647543601817400964721]], [113, [1, 12101680, 721840847655500, 8261965558573557835600, 235110360152342353020293340838, 1943714545237417825151541050318085200, 39952104698262759144134962927781324550039500, 157577054436875251381901329151108871048252696641840, 3063348575248001425954190006610728401266477888045839853121]]]}