ngd[{2, 2, 2, 2}, 0, 1] = 512 ngd[{2, 2, 2, 2}, 0, 2] = 9728 ngd[{2, 2, 2, 2}, 0, 3] = 416256 ngd[{2, 2, 2, 2}, 0, 4] = 25703936 ngd[{2, 2, 2, 2}, 0, 5] = 1957983744 ngd[{2, 2, 2, 2}, 0, 6] = 170535923200 ngd[{2, 2, 2, 2}, 0, 7] = 16300354777600 ngd[{2, 2, 2, 2}, 0, 8] = 1668063096387072 ngd[{2, 2, 2, 2}, 0, 9] = 179845756064329728 ngd[{2, 2, 2, 2}, 0, 10] = 20206497983891554816 ngd[{2, 2, 2, 2}, 0, 11] = 2347339059011866069504 ngd[{2, 2, 2, 2}, 0, 12] = 280306600807533481197056 ngd[{2, 2, 2, 2}, 0, 13] = 34256798893452529348216320 ngd[{2, 2, 2, 2}, 0, 14] = 4269972051694179948749436416 ngd[{2, 2, 2, 2}, 0, 15] = 541358921805547172080502619648 ngd[{2, 2, 2, 2}, 0, 16] = 69658426344401004665507307501056 ngd[{2, 2, 2, 2}, 0, 17] = 9080497284788411740962012219340288 ngd[{2, 2, 2, 2}, 0, 18] = 1197420141818887534508408000477679616 ngd[{2, 2, 2, 2}, 0, 19] = 159530114843856823677943126671820601856 ngd[{2, 2, 2, 2}, 0, 20] = 21450608635104560649049233453201791676928 ngd[{2, 2, 2, 2}, 0, 21] = 2908346427117887246423286785972162341980672 ngd[{2, 2, 2, 2}, 0, 22] = 397306451079340974663638121479829492242365952 ngd[{2, 2, 2, 2}, 0, 23] = 54649522482107143721366651836131827798582202880 ngd[{2, 2, 2, 2}, 0, 24] = 7564391285140299071299895481681241344915173473792 ngd[{2, 2, 2, 2}, 0, 25] = 1053089377004974412289484851049792404585687577698304 ngd[{2, 2, 2, 2}, 0, 26] = 147388356734727456754867119295742355492395773525291520 ngd[{2, 2, 2, 2}, 0, 27] = 20729709226353179228406350208220049575685349672021405696 ngd[{2, 2, 2, 2}, 0, 28] = 2928867984057078552998876907003645817112856734972442461696 ngd[{2, 2, 2, 2}, 0, 29] = 415569624855910239481777686920040859354551067244926344160768 ngd[{2, 2, 2, 2}, 0, 30] = 59197073945494112050210340492450119166670304742681067851422208 ngd[{2, 2, 2, 2}, 0, 31] = 8463626163669596577802935821371608365377749813427618491285946880 ngd[{2, 2, 2, 2}, 0, 32] = 1214256905280719390668004019956430397859743148322227148321926329856 ngd[{2, 2, 2, 2}, 0, 33] = 174771286000505686926470927874511270314868050936068614795908128251392 ngd[{2, 2, 2, 2}, 0, 34] = 25231948070101384321124177828978782103496728093252779626719486745821696 ngd[{2, 2, 2, 2}, 0, 35] = 3653220001338826616563869805265041226156007705647625122848346240510952960 ngd[{2, 2, 2, 2}, 0, 36] = 53036501241829413177776743660111884686519054677888361396706076261811721420\ 8 ngd[{2, 2, 2, 2}, 0, 37] = 77193964370496605657704586389653262630695013966278375722215990514161036547\ 584 ngd[{2, 2, 2, 2}, 0, 38] = 11262683533554953496705004737966514637908484203420\ 495733720600000414765696175616 ngd[{2, 2, 2, 2}, 0, 39] = 16470080781955762783233717296666231826065678749223\ 87444111678294251325692704099840 ngd[{2, 2, 2, 2}, 0, 40] = 24137612464801361053984900378917126397291979157446\ 8837487318522039987880351561675264 ngd[{2, 2, 2, 2}, 0, 41] = 35447923468915621742045228263118612324102357883232\ 605660433526287862355257601651772928 ngd[{2, 2, 2, 2}, 0, 42] = 52160502145849648717485472283205969259409387317547\ 82128009852124502497817224273048075776 ngd[{2, 2, 2, 2}, 0, 43] = 76896547726977394518480885107706480090807661047732\ 8433283387465468030077726695273493219840 ngd[{2, 2, 2, 2}, 0, 44] = 11356603545383890223581820021913909630921977496372\ 6685871246565131330456043538323764165545472 ngd[{2, 2, 2, 2}, 0, 45] = 16800863300171852354314423652211204582231693036300\ 287420000753427020730938925373287117026611200 ngd[{2, 2, 2, 2}, 0, 46] = 24895653132629610575521811636213233212171848124672\ 39816742197931097636996966879708468860972946944 ngd[{2, 2, 2, 2}, 0, 47] = 36948230242886458531120553285602235903887630863900\ 6370869020983863544905746266672244739430180266496 ngd[{2, 2, 2, 2}, 0, 48] = 54917819286665589254063468917651416521285693576348\ 573073904362082095107235432500161553067424749387264 ngd[{2, 2, 2, 2}, 0, 49] = 81743939425070249463547698489419788600249169471200\ 60999005187336890812459652851209259141715745273532416 ngd[{2, 2, 2, 2}, 0, 50] = 12184149694795746843120800387324729271129840792010\ 28296773302763653027423053601167373390560442201167486976 ngd[{2, 2, 2, 2}, 0, 51] = 18184799645091220581591408386839913986136028489953\ 7613271648171125222572779554682400054439470158811075755520 ngd[{2, 2, 2, 2}, 0, 52] = 27175220862096568497758949567306648764842942448399\ 182381201492343163176976089467188986174034717944104552047104 ngd[{2, 2, 2, 2}, 0, 53] = 40660042543538106982905862230373738695333285253573\ 76793648046244677404694686457015421584117208378041099068536320 ngd[{2, 2, 2, 2}, 0, 54] = 60907792729261835136532772459326199659079057229399\ 6694160951352977837176162445924960197156890457890565001181368320 ngd[{2, 2, 2, 2}, 0, 55] = 91341760844742990108952827539750193382760298364385\ 753113490623924623955927865481774211075640360291667900055763701248 ngd[{2, 2, 2, 2}, 0, 56] = 13713225011416191453187077028136710599309302646696\ 644811994273334944643746665228765805674203608792324082899439281030656 ngd[{2, 2, 2, 2}, 0, 57] = 20609463853469374360905098148145968362179323822542\ 92378038745391516766290405777036144005726910968570676434411453597463040 ngd[{2, 2, 2, 2}, 0, 58] = 31005211648418888908620510338189501532554393111556\ 2093613336082757172804017628041881062194539339656335766621579278592315904 ngd[{2, 2, 2, 2}, 0, 59] = 46690495912233772097640669045574723394198965646464\ 206949279850488671910811218734198089623965878192746213750715342294971263488 ngd[{2, 2, 2, 2}, 0, 60] = 0 ngd[{2, 2, 2, 2}, 1, 1] = 0 ngd[{2, 2, 2, 2}, 1, 2] = 0 ngd[{2, 2, 2, 2}, 1, 3] = 0 ngd[{2, 2, 2, 2}, 1, 4] = 14752 ngd[{2, 2, 2, 2}, 1, 5] = 8782848 ngd[{2, 2, 2, 2}, 1, 6] = 2672004608 ngd[{2, 2, 2, 2}, 1, 7] = 615920502784 ngd[{2, 2, 2, 2}, 1, 8] = 123699143093152 ngd[{2, 2, 2, 2}, 1, 9] = 22984995833484288 ngd[{2, 2, 2, 2}, 1, 10] = 4071465816864581632 ngd[{2, 2, 2, 2}, 1, 11] = 698986176207439627264 ngd[{2, 2, 2, 2}, 1, 12] = 117457424977333285903392 ngd[{2, 2, 2, 2}, 1, 13] = 19439742296521373474919424 ngd[{2, 2, 2, 2}, 1, 14] = 3181884457603311023677929472 ngd[{2, 2, 2, 2}, 1, 15] = 516517318374765545782167352320 ngd[{2, 2, 2, 2}, 1, 16] = 83320987812139468477365285436320 ngd[{2, 2, 2, 2}, 1, 17] = 13375703743967091566796118420594688 ngd[{2, 2, 2, 2}, 1, 18] = 2139105394373921994129604802200132096 ngd[{2, 2, 2, 2}, 1, 19] = 341073058687972187830352426388062919680 ngd[{2, 2, 2, 2}, 1, 20] = 54253396903908161256383281315852499472608 ngd[{2, 2, 2, 2}, 1, 21] = 8613420386122512812037740447434361733187584 ngd[{2, 2, 2, 2}, 1, 22] = 1365381880759483139461850555384714545767234560 ngd[{2, 2, 2, 2}, 1, 23] = 216167110828106072117537180015817383188845172736 ngd[{2, 2, 2, 2}, 1, 24] = 34188796140078506645840449814590484441037402568224 ngd[{2, 2, 2, 2}, 1, 25] = 5402797919109507357326975304941854226770317517703168 ngd[{2, 2, 2, 2}, 1, 26] = 853219932442402442519960330909177901056627606529350656 ngd[{2, 2, 2, 2}, 1, 27] = 134668215466236074247185532835315394297165074446318444544 ngd[{2, 2, 2, 2}, 1, 28] = 21245937118336354704165597005927027211282449542940036343456 ngd[{2, 2, 2, 2}, 1, 29] = 3350660548474650487344591397594957638546868927391376405554176 ngd[{2, 2, 2, 2}, 1, 30] = 528274371364843830445133730348698860724720715922349621424615936 ngd[{2, 2, 2, 2}, 1, 31] = 83270071678756188123334790536947647272932891988609191153674526720 ngd[{2, 2, 2, 2}, 1, 32] = 13123212622132937517415225747855662219717191672734366215017625140128 ngd[{2, 2, 2, 2}, 1, 33] = 2067908544898204804952381969647900293001431286429658832690822672114688 ngd[{2, 2, 2, 2}, 1, 34] = 325819959209123254155000963673284632062103469302107216869856668892925952 ngd[{2, 2, 2, 2}, 1, 35] = 51332465956632659386845664860599342144900922780702188049020303926026298368 ngd[{2, 2, 2, 2}, 1, 36] = 80869650836622639518178566201198808300284892350167433400430632422379497832\ 96 ngd[{2, 2, 2, 2}, 1, 37] = 12739936291989784831216991603160669453178513445068\ 45302107443094120574219574272 ngd[{2, 2, 2, 2}, 1, 38] = 20069892385535017828948761152233576717319072097823\ 1446589143997922283227261832192 ngd[{2, 2, 2, 2}, 1, 39] = 31617359604693505420147369681553101665211505524977\ 832102002448943725600694697100288 ngd[{2, 2, 2, 2}, 1, 40] = 49809775639350941369116250270036754394054620714977\ 63580700498152769875831429868152544 ngd[{2, 2, 2, 2}, 1, 41] = 78472378174407002727883977796043574431457221618700\ 8271854979016333249666169203592636416 ngd[{2, 2, 2, 2}, 1, 42] = 12363355789500282821963690565557695940774556873543\ 2989118655729101348609908363318724822528 ngd[{2, 2, 2, 2}, 1, 43] = 19479450557332864705444647132377526347698821362751\ 682768752096415925293326466214444808848384 ngd[{2, 2, 2, 2}, 1, 44] = 30693099333736344996188160479762388089801805246010\ 66522598266846796813084525109480991814429472 ngd[{2, 2, 2, 2}, 1, 45] = 48364973978158423117470042384909422962392564457079\ 6615163159601499578104161806325775021887822848 ngd[{2, 2, 2, 2}, 1, 46] = 76216572265365300704985464946911703940298127730080\ 213078554309476812478808605549003467610861684736 ngd[{2, 2, 2, 2}, 1, 47] = 12011516371430274519379615205902433238173745497186\ 257416995564372354498937024769937535226380916387840 ngd[{2, 2, 2, 2}, 1, 48] = 18931179187327441093417733785214947540571061898755\ 78261651103790584661290484424004182230027413976794656 ngd[{2, 2, 2, 2}, 1, 49] = 29839399479630823332190056056423622900207641790813\ 6456284161770820852933370586722921617670868128988717056 ngd[{2, 2, 2, 2}, 1, 50] = 47036612205768859740316881383940538714708512166742\ 936443802771081993735556015408144668073548714525758589952 ngd[{2, 2, 2, 2}, 1, 51] = 74150878606451962176820763294539228590282622262946\ 20074618252519107449576918420063069339455603084594269196288 ngd[{2, 2, 2, 2}, 1, 52] = 11690456824977618017525664063496355378418017751148\ 24511759699777494300174654014662237324835802524600066052682720 ngd[{2, 2, 2, 2}, 1, 53] = 18432406355626491980085779981251373988033923439454\ 1052420700842419688673585357237403853274007241621213574161210368 ngd[{2, 2, 2, 2}, 1, 54] = 29064864129648867327143232645499959654804183000971\ 169161918395447898002616060378936756919598873412832591266718365696 ngd[{2, 2, 2, 2}, 1, 55] = 45834288171115759227598041277639389740243789212874\ 62008175007904754724725839551246666273575177325959335600974848974848 ngd[{2, 2, 2, 2}, 1, 56] = 72285093930155270309406730720482255020181287434858\ 0457113614156866995563578630671396933342325290620779362139374466377888 ngd[{2, 2, 2, 2}, 1, 57] = 11401004678830555066249741338795666581490923928252\ 4288160631645557582137178726013178398374259094638120030231351889670056960 ngd[{2, 2, 2, 2}, 1, 58] = 17983474087722428019431222187193742750232005458503\ 307467420826284286013321065800754926996473333045545683214202256701711543296 ngd[{2, 2, 2, 2}, 1, 59] = 28368741977185643455033926334003347116803323413010\ 70481148206796052635791643619658961783854345290817635534829323020117290423296 ngd[{2, 2, 2, 2}, 1, 60] = 0 ngd[{2, 2, 2, 2}, 2, 1] = 0 ngd[{2, 2, 2, 2}, 2, 2] = 0 ngd[{2, 2, 2, 2}, 2, 3] = 0 ngd[{2, 2, 2, 2}, 2, 4] = 0 ngd[{2, 2, 2, 2}, 2, 5] = 0 ngd[{2, 2, 2, 2}, 2, 6] = 1427968 ngd[{2, 2, 2, 2}, 2, 7] = 2440504320 ngd[{2, 2, 2, 2}, 2, 8] = 1628589698304 ngd[{2, 2, 2, 2}, 2, 9] = 702453851520512 ngd[{2, 2, 2, 2}, 2, 10] = 236803123487243776 ngd[{2, 2, 2, 2}, 2, 11] = 68301097513852719616 ngd[{2, 2, 2, 2}, 2, 12] = 17710812746787572087296 ngd[{2, 2, 2, 2}, 2, 13] = 4253447318049410066528768 ngd[{2, 2, 2, 2}, 2, 14] = 964385144303710017688697856 ngd[{2, 2, 2, 2}, 2, 15] = 209123696909900992130385870848 ngd[{2, 2, 2, 2}, 2, 16] = 43770274058761032981208868640000 ngd[{2, 2, 2, 2}, 2, 17] = 8901912012627415999065583751960576 ngd[{2, 2, 2, 2}, 2, 18] = 1768047374662802905142033561456488448 ngd[{2, 2, 2, 2}, 2, 19] = 344257049981737797046666537362707680768 ngd[{2, 2, 2, 2}, 2, 20] = 65911061903915300760579500690796870023680 ngd[{2, 2, 2, 2}, 2, 21] = 12438308999805627969894014846881054654393344 ngd[{2, 2, 2, 2}, 2, 22] = 2318102655223933716338427986120880463644952064 ngd[{2, 2, 2, 2}, 2, 23] = 427326724428852282344912709242235473242058308608 ngd[{2, 2, 2, 2}, 2, 24] = 78021204194772644052448219663768256475016133856000 ngd[{2, 2, 2, 2}, 2, 25] = 14124278063519007442344744351842891096752189502483968 ngd[{2, 2, 2, 2}, 2, 26] = 2537595176378030145984948376320631609780244577698389504 ngd[{2, 2, 2, 2}, 2, 27] = 452816704495921529866292908177229433766353191171863241728 ngd[{2, 2, 2, 2}, 2, 28] = 80308096831722137667371795214622104286033609544420582276096 ngd[{2, 2, 2, 2}, 2, 29] = 14163993660499877997378403715334144658951381885421377990291968 ngd[{2, 2, 2, 2}, 2, 30] = 2485541945419103776612985984410461871428519942716304684982277120 ngd[{2, 2, 2, 2}, 2, 31] = 434167387551960502728730373067781504212694390239568113171593564160 ngd[{2, 2, 2, 2}, 2, 32] = 75520078887930370717778672790619126273394557178376166894953117349120 ngd[{2, 2, 2, 2}, 2, 33] = 13085353064025386491434824210305404783592501822288148006009620669059584 ngd[{2, 2, 2, 2}, 2, 34] = 2259217390296608040314247574536830793032039402497124911187480009263919104 ngd[{2, 2, 2, 2}, 2, 35] = 38877427738251920392875637170331485920179913716015709727156367688390836224\ 0 ngd[{2, 2, 2, 2}, 2, 36] = 66697393528507283016106831226545766041857708197754772781418323030515930126\ 336 ngd[{2, 2, 2, 2}, 2, 37] = 11410014188911733504960992716990308402716235483380\ 573168502438551762602740511232 ngd[{2, 2, 2, 2}, 2, 38] = 19467682737182976505201838443371959049581702692251\ 88710797349853132128535196283392 ngd[{2, 2, 2, 2}, 2, 39] = 33133679739940283270037997295163794847140312701523\ 5828054427558881997060937425949184 ngd[{2, 2, 2, 2}, 2, 40] = 56262860739584862750481202146225216102777396268718\ 375311776154841099896720105850272000 ngd[{2, 2, 2, 2}, 2, 41] = 95330911829618973602766297935274983483280274867324\ 84380390759242215168607409070101830656 ngd[{2, 2, 2, 2}, 2, 42] = 16119922526764564968389024220659455999824938159800\ 95214975524539968215567601181654156580352 ngd[{2, 2, 2, 2}, 2, 43] = 27205826679362759897959393753892135527978749108234\ 2210995387168641690639985501327863855223296 ngd[{2, 2, 2, 2}, 2, 44] = 45833050808149330546683051174623709390548152187149\ 887089381900468681637790984408175460543682048 ngd[{2, 2, 2, 2}, 2, 45] = 77082823407575943445050910549601178063366444572362\ 11390689649211491436351840494112406347593742848 ngd[{2, 2, 2, 2}, 2, 46] = 12943123140579502962681902838226023763984140992777\ 21281065469234621004537034624983038589487058924544 ngd[{2, 2, 2, 2}, 2, 47] = 21700044172031438409646197576268446396472852070259\ 9430563347575735033830684136710390427292431585073152 ngd[{2, 2, 2, 2}, 2, 48] = 36329281386437308214216021977817143291947424023578\ 586926916169727274118238347234339981357691160469476096 ngd[{2, 2, 2, 2}, 2, 49] = 60737884942959101772605577356985951447716227249238\ 67406906324289113816858192442689722397989412329922031616 ngd[{2, 2, 2, 2}, 2, 50] = 10141422400212166419149218515627367318812430140324\ 01510795053100766516050620456706930809012136678986060719104 ngd[{2, 2, 2, 2}, 2, 51] = 16912273702134658091748191197387343199126713425024\ 6202035672894846972468410164035921357771212230392731157688320 ngd[{2, 2, 2, 2}, 2, 52] = 28170508917215789550514478292237641142807086225771\ 288600956153152592899154708163448449982510697960733794941832704 ngd[{2, 2, 2, 2}, 2, 53] = 46870636842057233416378710421843941712292725433504\ 37373578089012945899115635389061538243487755979052649261741264384 ngd[{2, 2, 2, 2}, 2, 54] = 77900955859046180300900981234394851222117039100639\ 3655913923863488338313540536207500670395953904195674806302212460544 ngd[{2, 2, 2, 2}, 2, 55] = 12934252456476853973900044357185447087171710277939\ 0349598371106797201384311742912703954977564346345433627457960096491008 ngd[{2, 2, 2, 2}, 2, 56] = 21454381675014352687335213832350850055820886807285\ 710546378927438170766987662862901365062790421403323800870720490441179392 ngd[{2, 2, 2, 2}, 3, 1] = 0 ngd[{2, 2, 2, 2}, 3, 2] = 0 ngd[{2, 2, 2, 2}, 3, 3] = 0 ngd[{2, 2, 2, 2}, 3, 4] = 0 ngd[{2, 2, 2, 2}, 3, 5] = 0 ngd[{2, 2, 2, 2}, 3, 6] = 0 ngd[{2, 2, 2, 2}, 3, 7] = 86016 ngd[{2, 2, 2, 2}, 3, 8] = 2403984384 ngd[{2, 2, 2, 2}, 3, 9] = 4702943495168 ngd[{2, 2, 2, 2}, 3, 10] = 4206537025629952 ngd[{2, 2, 2, 2}, 3, 11] = 2482415474680798208 ngd[{2, 2, 2, 2}, 3, 12] = 1130677461544164220416 ngd[{2, 2, 2, 2}, 3, 13] = 431647003383038509924352 ngd[{2, 2, 2, 2}, 3, 14] = 145020428284660749313807360 ngd[{2, 2, 2, 2}, 3, 15] = 44238574413758936797320279040 ngd[{2, 2, 2, 2}, 3, 16] = 12515167088925620497086685419008 ngd[{2, 2, 2, 2}, 3, 17] = 3333073333090491375661818652053504 ngd[{2, 2, 2, 2}, 3, 18] = 844884548462593507401268824580729344 ngd[{2, 2, 2, 2}, 3, 19] = 205537934382630409952676034562526863360 ngd[{2, 2, 2, 2}, 3, 20] = 48295403988292993685309127352219493234688 ngd[{2, 2, 2, 2}, 3, 21] = 11016032121946767254010941497953137981616128 ngd[{2, 2, 2, 2}, 3, 22] = 2449068400024789147587462422262421435746925568 ngd[{2, 2, 2, 2}, 3, 23] = 532421578146082709607966736513378595316489014272 ngd[{2, 2, 2, 2}, 3, 24] = 113490745761645275471315748848274213528180205766144 ngd[{2, 2, 2, 2}, 3, 25] = 23773343488178544142459584758979676735810524747290624 ngd[{2, 2, 2, 2}, 3, 26] = 4903035279846336926691632034342898742242449566778546176 ngd[{2, 2, 2, 2}, 3, 27] = 997196001251527869222664171160936958994585280811012284416 ngd[{2, 2, 2, 2}, 3, 28] = 200277485430862783542302366148132768022911486104427985218560 ngd[{2, 2, 2, 2}, 3, 29] = 39767927509160348351042064845040590411330178183019595121072128 ngd[{2, 2, 2, 2}, 3, 30] = 7814987365204147857317098986538802480730194169159052394810255104 ngd[{2, 2, 2, 2}, 3, 31] = 1521271918304639748118522019345345481922584508478593745797242580992 ngd[{2, 2, 2, 2}, 3, 32] = 293568864466164841402402508614273619184836174269725817991108072947200 ngd[{2, 2, 2, 2}, 3, 33] = 56200342479446321518623561093072268599240552798498078049855779431052288 ngd[{2, 2, 2, 2}, 3, 34] = 10679745574046826084018083934020585127476302074240379260244709895744001024 ngd[{2, 2, 2, 2}, 3, 35] = 20156438211808935449132910511318872189937314275185678111727831844245961072\ 64 ngd[{2, 2, 2, 2}, 3, 36] = 37801624307562809910357712324520764743120677774873\ 8433151774562096611507858944 ngd[{2, 2, 2, 2}, 3, 37] = 70476126085783390118625422414410120733894678257956\ 022560046333338582038631345152 ngd[{2, 2, 2, 2}, 3, 38] = 13067144252710433502434495566209869472255349304807\ 434817097763083187262982809051136 ngd[{2, 2, 2, 2}, 3, 39] = 24103612873911712336713718779607169474741197263455\ 66511954248136061618803080271378432 ngd[{2, 2, 2, 2}, 3, 40] = 44247385319836517477643881771174707040801240684609\ 6959692033534370125600337240496445952 ngd[{2, 2, 2, 2}, 3, 41] = 80858475600349969031664901057363347762083848708885\ 353335101519433284051151911575274435584 ngd[{2, 2, 2, 2}, 3, 42] = 14713403132090423963616488731914480790402128401771\ 485447600655757872300322435665880122707968 ngd[{2, 2, 2, 2}, 3, 43] = 26665979414209566634105490356979384361521215608442\ 42247048283330836134588337580162738332836864 ngd[{2, 2, 2, 2}, 3, 44] = 48145647137527297956342689273069794121161424814461\ 2198146015031323048241025306467726614993173504 ngd[{2, 2, 2, 2}, 3, 45] = 86616754851110243256368078679783386560735488853661\ 052686978316140020762627831673271861233687222272 ngd[{2, 2, 2, 2}, 3, 46] = 15530139592408514325782632654665035025530866967736\ 301204382469473346743173788423539774610993084724224 ngd[{2, 2, 2, 2}, 3, 47] = 27755826093163113457295176607844352033087200218046\ 26433546395791480115721220060475849858297881351063552 ngd[{2, 2, 2, 2}, 3, 48] = 49454898236099712167153396541082186460203757063236\ 2953553969883426144153513554487574378054729310120722432 ngd[{2, 2, 2, 2}, 3, 49] = 87863120604890941123886270520442913865443528476735\ 053776770867808944488442031745528146000200222542967503872 ngd[{2, 2, 2, 2}, 3, 50] = 15567080664169493357882195265640001079809401650448\ 508398075203651452230004630726310851743686534775778514483456 ngd[{2, 2, 2, 2}, 3, 51] = 27508554678490930928143753448891563604675632467934\ 60312395874121284831720640530431996663308665823416840177930240 ngd[{2, 2, 2, 2}, 3, 52] = 48488787813897437036453261669818042831500215028549\ 4741814012205509090561668973657900603993941624603845067342000128 ngd[{2, 2, 2, 2}, 3, 53] = 85266257966622734976142001821706548711510999453535\ 184979492544134708261621191011609178764987587359701328404250950656 ngd[{2, 2, 2, 2}, 3, 54] = 14959653259689908899694507013672823794338250706349\ 396348961583385312331972825686707469995109648076835169505183873931776 ngd[{2, 2, 2, 2}, 3, 55] = 26188912115894918420499157344188891102971086062347\ 65053222116832087562537822047309908083004846546446300797072614890632192 ngd[{2, 2, 2, 2}, 3, 56] = 45751510642484110596319887247338714213466589581510\ 2138148675357596251904625894671904817847227262834658134075044239668558848 ngd[{2, 2, 2, 2}, 4, 1] = 0 ngd[{2, 2, 2, 2}, 4, 2] = 0 ngd[{2, 2, 2, 2}, 4, 3] = 0 ngd[{2, 2, 2, 2}, 4, 4] = 0 ngd[{2, 2, 2, 2}, 4, 5] = 0 ngd[{2, 2, 2, 2}, 4, 6] = 0 ngd[{2, 2, 2, 2}, 4, 7] = 0 ngd[{2, 2, 2, 2}, 4, 8] = -37632 ngd[{2, 2, 2, 2}, 4, 9] = 2449622016 ngd[{2, 2, 2, 2}, 4, 10] = 16316531089408 ngd[{2, 2, 2, 2}, 4, 11] = 29624281509824512 ngd[{2, 2, 2, 2}, 4, 12] = 29509577487912764928 ngd[{2, 2, 2, 2}, 4, 13] = 20526546924929107701248 ngd[{2, 2, 2, 2}, 4, 14] = 11214184910352058392832512 ngd[{2, 2, 2, 2}, 4, 15] = 5147064662730632225113858560 ngd[{2, 2, 2, 2}, 4, 16] = 2070784408646408170738670392320 ngd[{2, 2, 2, 2}, 4, 17] = 751475200564744622665973972234752 ngd[{2, 2, 2, 2}, 4, 18] = 251001250051425167857207833914793472 ngd[{2, 2, 2, 2}, 4, 19] = 78316658311848980483416772056505591296 ngd[{2, 2, 2, 2}, 4, 20] = 23083918371924305361972186734654426596352 ngd[{2, 2, 2, 2}, 4, 21] = 6483389724534068800307946093954267693940736 ngd[{2, 2, 2, 2}, 4, 22] = 1747030235752731854307636447094899370278018048 ngd[{2, 2, 2, 2}, 4, 23] = 454138731650608854765263694538620729382964050432 ngd[{2, 2, 2, 2}, 4, 24] = 114395743418313000831726339794772317636423535257600 ngd[{2, 2, 2, 2}, 4, 25] = 28026511521436694687759642419189713749121156222128640 ngd[{2, 2, 2, 2}, 4, 26] = 6698941242131471470558962205755468994313981410673303040 ngd[{2, 2, 2, 2}, 4, 27] = 1566216124892623400431575997998895375504319155570400499712 ngd[{2, 2, 2, 2}, 4, 28] = 358977994721302995521213463011280166296841313932156375247360 ngd[{2, 2, 2, 2}, 4, 29] = 80812814471560062894963563365931318653607787251983322885064192 ngd[{2, 2, 2, 2}, 4, 30] = 17897920265046113615781818499457785450239996293124086031094456832 ngd[{2, 2, 2, 2}, 4, 31] = 3905312589844027331427580576582198957999498252176026023040829220864 ngd[{2, 2, 2, 2}, 4, 32] = 840588633595990945177288980196607966926338752183127236866540745944064 ngd[{2, 2, 2, 2}, 4, 33] = 178675165801749859844931678536315896527889919790314585883305157769603072 ngd[{2, 2, 2, 2}, 4, 34] = 37542326828403273834013847796700030205993695987777504121806046796704247808 ngd[{2, 2, 2, 2}, 4, 35] = 78042434411782222778778910416660899021488478194246503817889249847143595059\ 20 ngd[{2, 2, 2, 2}, 4, 36] = 16063087874519654750169582257519643316051050863263\ 48796657403349657722112678912 ngd[{2, 2, 2, 2}, 4, 37] = 32757974549302878784311742477934786367289488673442\ 8555834337297288029580946880512 ngd[{2, 2, 2, 2}, 4, 38] = 66231687470849594527950177184476945232905437420069\ 828153480682895873543947052913152 ngd[{2, 2, 2, 2}, 4, 39] = 13283730920750888140732227476991755685995653153119\ 176915338799419039895233759815117312 ngd[{2, 2, 2, 2}, 4, 40] = 26442436432424399346852510894238620698143859845813\ 43501343347719287770649569172177183744 ngd[{2, 2, 2, 2}, 4, 41] = 52265061258236176315652373357740767716264940077598\ 4335215187719213978219847436145631184384 ngd[{2, 2, 2, 2}, 4, 42] = 10262038605765808666325237086028243697344435461463\ 5080601439016160242177083486172361040920064 ngd[{2, 2, 2, 2}, 4, 43] = 20023305947363206431791111213200814448062186106069\ 351874095908221640186775510042352103954408448 ngd[{2, 2, 2, 2}, 4, 44] = 38839317903738130652350720387249640560237075177088\ 64504275880945298117141325476039475929910815744 ngd[{2, 2, 2, 2}, 4, 45] = 74917323019539672373720214641159172383414257562439\ 9766204050220584815127158557880983479365789889024 ngd[{2, 2, 2, 2}, 4, 46] = 14374664160898545930203413208008787296842911599756\ 8446159379275330488345543367902622422823139967342080 ngd[{2, 2, 2, 2}, 4, 47] = 27443395916153161866461629722364223034447372479356\ 740359395262567947953780793502917284016874459340983296 ngd[{2, 2, 2, 2}, 4, 48] = 52145100878452158293390591526105223762791290935085\ 04521589697317458830830955380646594299601483949350212352 ngd[{2, 2, 2, 2}, 4, 49] = 98634158874614024027088248262542497540885528440017\ 7352784838367740205693715271293977903334118201010625615360 ngd[{2, 2, 2, 2}, 4, 50] = 18576958632084340329329463942216999606053101844295\ 7682024890315229346856845248958093780142265198766917604696064 ngd[{2, 2, 2, 2}, 4, 51] = 34845273444803879832818194618508131542120661324594\ 346727599638276811209039617936407565341712437670787894800507392 ngd[{2, 2, 2, 2}, 4, 52] = 65105488389885326889357143560560275562713670507198\ 95999023504609085444741629691029345551243280244647802563204730368 ngd[{2, 2, 2, 2}, 4, 53] = 12119165169066025909701006087411904013893437644845\ 29149772681522080776151059860283094459331548411371808269609618451456 ngd[{2, 2, 2, 2}, 4, 54] = 22479209769940699558522979964406347671075942741861\ 7346834690437143071549740794755946050323902299982127606716800953533440 ngd[{2, 2, 2, 2}, 4, 55] = 41553712376290729086451839207806915943939253118040\ 189253302201845930213677976973973745746844375133831083286476508192520192 ngd[{2, 2, 2, 2}, 4, 56] = 76563547772697016648785288357484513012282256764661\ 82850595816075444279799333831322320825572585953447233900788295391017635072 ngd[{2, 2, 2, 2}, 5, 1] = 0 ngd[{2, 2, 2, 2}, 5, 2] = 0 ngd[{2, 2, 2, 2}, 5, 3] = 0 ngd[{2, 2, 2, 2}, 5, 4] = 0 ngd[{2, 2, 2, 2}, 5, 5] = 0 ngd[{2, 2, 2, 2}, 5, 6] = 0 ngd[{2, 2, 2, 2}, 5, 7] = 0 ngd[{2, 2, 2, 2}, 5, 8] = -672 ngd[{2, 2, 2, 2}, 5, 9] = 258048 ngd[{2, 2, 2, 2}, 5, 10] = 2777384448 ngd[{2, 2, 2, 2}, 5, 11] = 73818807399424 ngd[{2, 2, 2, 2}, 5, 12] = 262348434134399616 ngd[{2, 2, 2, 2}, 5, 13] = 421986672066679030784 ngd[{2, 2, 2, 2}, 5, 14] = 431821477899924444665344 ngd[{2, 2, 2, 2}, 5, 15] = 327475191738043498923646976 ngd[{2, 2, 2, 2}, 5, 16] = 200261981959751552257364535296 ngd[{2, 2, 2, 2}, 5, 17] = 104075126440768556541508459859968 ngd[{2, 2, 2, 2}, 5, 18] = 47606254891366976498580888827185152 ngd[{2, 2, 2, 2}, 5, 19] = 19646801177778255037876298155482791936 ngd[{2, 2, 2, 2}, 5, 20] = 7449121178846589418891553515155435448064 ngd[{2, 2, 2, 2}, 5, 21] = 2630609595357468007039728148249184440611840 ngd[{2, 2, 2, 2}, 5, 22] = 874498996508840851567151626671902887968456704 ngd[{2, 2, 2, 2}, 5, 23] = 275971065686483450243168583803802272161556071424 ngd[{2, 2, 2, 2}, 5, 24] = 83235227806886045711990402483032775478484564781792 ngd[{2, 2, 2, 2}, 5, 25] = 24126305629613477440610812448558659479251561765380096 ngd[{2, 2, 2, 2}, 5, 26] = 6751519732531872740665924598684189878422867724016200704 ngd[{2, 2, 2, 2}, 5, 27] = 1831060667753409981993658392897673590852320637553328683008 ngd[{2, 2, 2, 2}, 5, 28] = 482837413675274083467634596501073586539466254508528714513408 ngd[{2, 2, 2, 2}, 5, 29] = 124135509359669594632424778453474564338489543525057609453456384 ngd[{2, 2, 2, 2}, 5, 30] = 31190333872301999468415037018161602414458768609809385776346012672 ngd[{2, 2, 2, 2}, 5, 31] = 7674795076315146068582358247275376005534546582066408953656294313984 ngd[{2, 2, 2, 2}, 5, 32] = 1852745330273623458656013046116212877778653890253166363739264557702912 ngd[{2, 2, 2, 2}, 5, 33] = 439491506863170159050361056857958214877337286478596154758417046063989760 ngd[{2, 2, 2, 2}, 5, 34] = 10258267205443234941992599158567215508713616480346039471842859611745289625\ 6 ngd[{2, 2, 2, 2}, 5, 35] = 23589608297228759264255972939098982503807199400303471044660776565986099358\ 720 ngd[{2, 2, 2, 2}, 5, 36] = 53501576104362083250902600929824582627227899051510\ 97822818835383559570994387584 ngd[{2, 2, 2, 2}, 5, 37] = 11979458279696319689864899096221900716548426603730\ 56485233156311580959006299923456 ngd[{2, 2, 2, 2}, 5, 38] = 26504200769224548412036414575203853279674833546236\ 5798626000977801803555227901654016 ngd[{2, 2, 2, 2}, 5, 39] = 57988730361232414502179240347094314014688839817209\ 337768733793252520547371551741895680 ngd[{2, 2, 2, 2}, 5, 40] = 12555537781662197939810580497750513926003967663511\ 794589982800153627826570101337363992608 ngd[{2, 2, 2, 2}, 5, 41] = 26919839318893665013038514847992054206784051609386\ 47769372441360958728512815943765111561216 ngd[{2, 2, 2, 2}, 5, 42] = 57188959808835212969720684869119323319340578381620\ 9193929837630285271135452040099259018463744 ngd[{2, 2, 2, 2}, 5, 43] = 12044512105498176793164078804191938029475970361125\ 5154198899108798551415801518889228331011292160 ngd[{2, 2, 2, 2}, 5, 44] = 25160441830758969756639777510490607875559934584359\ 581103627837514160864489931247409693645351102464 ngd[{2, 2, 2, 2}, 5, 45] = 52155049039847802153199952682184396426719981159992\ 48682051749704786546187503599020538135051185345536 ngd[{2, 2, 2, 2}, 5, 46] = 10732592892686697806651370492381836509793417351688\ 98384334149721545916726211499047253133215818981377024 ngd[{2, 2, 2, 2}, 5, 47] = 21933610053737946775882719019717123724686598498645\ 0494280490993092599170212960479384742662750429775689728 ngd[{2, 2, 2, 2}, 5, 48] = 44531461464935644619632732862404250628831693468701\ 668474351169548328724687073502919321006556646255536419840 ngd[{2, 2, 2, 2}, 5, 49] = 89849953682529371632148894100520100806228189174396\ 11586479521187905223055291776839889475795769240588625345536 ngd[{2, 2, 2, 2}, 5, 50] = 18021675858343212507340787960950438297165821739051\ 12484322294186049337272927622250085018098819948415905644003328 ngd[{2, 2, 2, 2}, 5, 51] = 35943620809880419282482279421200033823283148021589\ 3852081169566635886544627812044619413131626949882690729463798784 ngd[{2, 2, 2, 2}, 5, 52] = 71303721642263467153069955354486545219649558452589\ 807275501219245281757946441835611247624079620512612429515926055936 ngd[{2, 2, 2, 2}, 5, 53] = 14072553940232747884017931338625080557849250687372\ 661841548352581518500896141281934044966517036253622871889246623044608 ngd[{2, 2, 2, 2}, 5, 54] = 27637804515711947421904018817091186066071150820417\ 19134406929373717484004822593199434679074979632614009062945093976603648 ngd[{2, 2, 2, 2}, 5, 55] = 54025292895901606723413550670368788328189146821261\ 6806896040817779558774953042602485269361698828207306836294433579606574080 ngd[{2, 2, 2, 2}, 5, 56] = 10513343237076840330261701187338060189041550849110\ 8459389551631249024076687807337887718469473537981460548158015239481817781856 ngd[{2, 2, 2, 2}, 6, 1] = 0 ngd[{2, 2, 2, 2}, 6, 2] = 0 ngd[{2, 2, 2, 2}, 6, 3] = 0 ngd[{2, 2, 2, 2}, 6, 4] = 0 ngd[{2, 2, 2, 2}, 6, 5] = 0 ngd[{2, 2, 2, 2}, 6, 6] = 0 ngd[{2, 2, 2, 2}, 6, 7] = 0 ngd[{2, 2, 2, 2}, 6, 8] = 0 ngd[{2, 2, 2, 2}, 6, 9] = 0 ngd[{2, 2, 2, 2}, 6, 10] = 4283904 ngd[{2, 2, 2, 2}, 6, 11] = 1153891840 ngd[{2, 2, 2, 2}, 6, 12] = 442880817336832 ngd[{2, 2, 2, 2}, 6, 13] = 3011724249630636032 ngd[{2, 2, 2, 2}, 6, 14] = 7476356511648314904064 ngd[{2, 2, 2, 2}, 6, 15] = 10835763076472522544122880 ngd[{2, 2, 2, 2}, 6, 16] = 11062382882246127330109802624 ngd[{2, 2, 2, 2}, 6, 17] = 8791142782592614503640625642496 ngd[{2, 2, 2, 2}, 6, 18] = 5780616239363620034078448560720896 ngd[{2, 2, 2, 2}, 6, 19] = 3275379782999194492538407151305186304 ngd[{2, 2, 2, 2}, 6, 20] = 1645521760918277293786591604357941328384 ngd[{2, 2, 2, 2}, 6, 21] = 748489967145642435441642137258286148848640 ngd[{2, 2, 2, 2}, 6, 22] = 313173227442346698246181401868269015435690496 ngd[{2, 2, 2, 2}, 6, 23] = 122021785950593573059849984350085603315399111168 ngd[{2, 2, 2, 2}, 6, 24] = 44707014315864565683563390865766954146910484808192 ngd[{2, 2, 2, 2}, 6, 25] = 15524343954813943871040420997351193701031279180213248 ngd[{2, 2, 2, 2}, 6, 26] = 5142161711995771527991312074943915051296340376692870656 ngd[{2, 2, 2, 2}, 6, 27] = 1633398730997014253225327232861671731683123163010617495552 ngd[{2, 2, 2, 2}, 6, 28] = 499802490160884605815532424750792672219162107264028720482816 ngd[{2, 2, 2, 2}, 6, 29] = 147881241736681644528569641115219385030335581131206863592112640 ngd[{2, 2, 2, 2}, 6, 30] = 42446880338147220194400547261136512224147669675494230707591948288 ngd[{2, 2, 2, 2}, 6, 31] = 11852531396028435790499503455642673464187643502467874200494680197120 ngd[{2, 2, 2, 2}, 6, 32] = 3227477937928255356490272462731615917639260140802515167001044210157696 ngd[{2, 2, 2, 2}, 6, 33] = 858861526920490925870596188387771844555116715874984305089362170337332736 ngd[{2, 2, 2, 2}, 6, 34] = 22376898149121469813575876570637175029933455574815439234129386139465866342\ 4 ngd[{2, 2, 2, 2}, 6, 35] = 57175287749418850729604003493125233234895829490480822139009145555417100399\ 104 ngd[{2, 2, 2, 2}, 6, 36] = 14347732157299932992686762201676644392791009146642\ 241673167929329372095167145984 ngd[{2, 2, 2, 2}, 6, 37] = 35407125823321153251970897649942383525927110944659\ 64718829923816998701138337172992 ngd[{2, 2, 2, 2}, 6, 38] = 86027564831074504102661958052686679477844854857069\ 4404317549197092964535597414504960 ngd[{2, 2, 2, 2}, 6, 39] = 20600608310596178251499214688623636637623455933230\ 3840291646236869512089348639981916160 ngd[{2, 2, 2, 2}, 6, 40] = 48666417238319594104087017189110502976983507049039\ 764769292905350255654999889528373075200 ngd[{2, 2, 2, 2}, 6, 41] = 11351629649196020397438500968852738490884099661476\ 168757161976317509067750635332624934223360 ngd[{2, 2, 2, 2}, 6, 42] = 26164053869039892885472801507352283945684492568244\ 98010723137773857936677608677947590489438208 ngd[{2, 2, 2, 2}, 6, 43] = 59631843452097439121027721622569348676596620819789\ 6635988879274075872569385611816038542935864832 ngd[{2, 2, 2, 2}, 6, 44] = 13448058668789000437310734459936012175533448043630\ 4770471798677295551888013586685845305614009893376 ngd[{2, 2, 2, 2}, 6, 45] = 30026675555496843499602218768520301090918461872159\ 546336711912020925121005205634095524604880002940416 ngd[{2, 2, 2, 2}, 6, 46] = 66413790827573824515601857596828614834373339169261\ 17468630960809791902392663322718245470716025599692288 ngd[{2, 2, 2, 2}, 6, 47] = 14558977544331591984196255974577397928908570243721\ 46177900891670881262557080791950899517664048702172437504 ngd[{2, 2, 2, 2}, 6, 48] = 31646551850297908103475788276751865234983433308962\ 2286739206891243256036085573068338806965377102732395639424 ngd[{2, 2, 2, 2}, 6, 49] = 68238733888309972685124950947137849823057375628859\ 864376635301721256765920667412333201871513102124625960623616 ngd[{2, 2, 2, 2}, 6, 50] = 14602156032137057996420759332406163518298402769662\ 699948344209643086011631561418958160731888538205742648017253376 ngd[{2, 2, 2, 2}, 6, 51] = 31020192788670910404302697542943734271841761364044\ 79623975580791816835205807451745649376113617703118010923716229632 ngd[{2, 2, 2, 2}, 6, 52] = 65442859521536476078993133630636219031150111846930\ 3223867838250438883759552600874025381785358013682390912326818391552 ngd[{2, 2, 2, 2}, 6, 53] = 13715412756716708625019461942792771721682000441367\ 1536253751134218248314340102710567367717842363485730051538225373978112 ngd[{2, 2, 2, 2}, 6, 54] = 28563643791543969299707083404227377530616920527841\ 236017862105424344038614000671056239427053150473941080711457630971970560 ngd[{2, 2, 2, 2}, 6, 55] = 59128550479287738958183543959618750230121432788930\ 69284499243435124258497262044253234734838799477899650826023533438560101888 ngd[{2, 2, 2, 2}, 6, 56] = 12169501197890488612862296849501704488858284835150\ 17347500149792631285826239557663327990782638097722646504291108656789951274752 ngd[{2, 2, 2, 2}, 7, 1] = 0 ngd[{2, 2, 2, 2}, 7, 2] = 0 ngd[{2, 2, 2, 2}, 7, 3] = 0 ngd[{2, 2, 2, 2}, 7, 4] = 0 ngd[{2, 2, 2, 2}, 7, 5] = 0 ngd[{2, 2, 2, 2}, 7, 6] = 0 ngd[{2, 2, 2, 2}, 7, 7] = 0 ngd[{2, 2, 2, 2}, 7, 8] = 0 ngd[{2, 2, 2, 2}, 7, 9] = 0 ngd[{2, 2, 2, 2}, 7, 10] = 0 ngd[{2, 2, 2, 2}, 7, 11] = 26348544 ngd[{2, 2, 2, 2}, 7, 12] = -60517140736 ngd[{2, 2, 2, 2}, 7, 13] = 3550650840264704 ngd[{2, 2, 2, 2}, 7, 14] = 45678111385546716928 ngd[{2, 2, 2, 2}, 7, 15] = 166722083929906154648576 ngd[{2, 2, 2, 2}, 7, 16] = 329348136230268990134577152 ngd[{2, 2, 2, 2}, 7, 17] = 439169023652184780962483435520 ngd[{2, 2, 2, 2}, 7, 18] = 442595714274410876497356823786240 ngd[{2, 2, 2, 2}, 7, 19] = 360883087544219186639028028789756928 ngd[{2, 2, 2, 2}, 7, 20] = 249038916864028425549629864390083600896 ngd[{2, 2, 2, 2}, 7, 21] = 150122055385086118898868120136081482263552 ngd[{2, 2, 2, 2}, 7, 22] = 80904285612433531354263095139088578619345408 ngd[{2, 2, 2, 2}, 7, 23] = 39671857862944474140750570506132217710890657792 ngd[{2, 2, 2, 2}, 7, 24] = 17943850760700613417853355646177576201762934767232 ngd[{2, 2, 2, 2}, 7, 25] = 7568127600405859316089747676394031975601544613970944 ngd[{2, 2, 2, 2}, 7, 26] = 3002724929827021968168634366705457528006864486021987840 ngd[{2, 2, 2, 2}, 7, 27] = 1128828450322549628819519390299096142076418665654551401472 ngd[{2, 2, 2, 2}, 7, 28] = 404509599184183899851467967034672443851202094949473414547456 ngd[{2, 2, 2, 2}, 7, 29] = 138869546257461413999291137210919308328245910144210446346881024 ngd[{2, 2, 2, 2}, 7, 30] = 45869199801356211635769189976205110181368543785646931098319372032 ngd[{2, 2, 2, 2}, 7, 31] = 14630645744185184459468776803635570423455380051938115518723497297920 ngd[{2, 2, 2, 2}, 7, 32] = 4520731612557934249894352674869413776117211710601873009087921867841280 ngd[{2, 2, 2, 2}, 7, 33] = 1356913574564274597492493024434115595811754005707020494249404976213764096 ngd[{2, 2, 2, 2}, 7, 34] = 39658830975347716752695157725269599726095174772780835240861717041786304384\ 0 ngd[{2, 2, 2, 2}, 7, 35] = 11310781070982830865256116258730527791995040565810\ 3278284079145460091072504832 ngd[{2, 2, 2, 2}, 7, 36] = 31537333940573499655010160559333427926796313371276\ 076602616662617585543682025216 ngd[{2, 2, 2, 2}, 7, 37] = 86111572460721646175247798299735555787944408395806\ 16439525469680659433893990130688 ngd[{2, 2, 2, 2}, 7, 38] = 23059471151392201287502077840554249443919585171982\ 34228859446850394216580785043589120 ngd[{2, 2, 2, 2}, 7, 39] = 60641352333252073309372239040568693477365146705901\ 2743747583415023690585972744209783808 ngd[{2, 2, 2, 2}, 7, 40] = 15679880688347336649212865282963575299594600292439\ 9882269940431429049668829487761125395584 ngd[{2, 2, 2, 2}, 7, 41] = 39906463730131987200788886626470987270979098315720\ 724944892036893642560403961464049850528768 ngd[{2, 2, 2, 2}, 7, 42] = 10006876762316481552715154846585917828915597749865\ 077748333807048434631724337059403811944089344 ngd[{2, 2, 2, 2}, 7, 43] = 24745607931998433979643761842070518470121153813496\ 54908800239717209808293649259310197298285713408 ngd[{2, 2, 2, 2}, 7, 44] = 60394477517812842625431632594089854564357480245753\ 5491740793988039911272576184772557681281803866112 ngd[{2, 2, 2, 2}, 7, 45] = 14558639887357067984420338561967475191672378390651\ 4058138090353048349152811865912915150436484236818432 ngd[{2, 2, 2, 2}, 7, 46] = 34687009129841655590795530481568107337118096020447\ 785881726123306141623289289477667927950412114576189440 ngd[{2, 2, 2, 2}, 7, 47] = 81735238759541406212757386221998330706287257087163\ 80989815517453449951835779592314071303356573573758362624 ngd[{2, 2, 2, 2}, 7, 48] = 19059024827976127068200884485534723071467833835998\ 03020987183768877004513604168430198252771465297475848947456 ngd[{2, 2, 2, 2}, 7, 49] = 44002158164979250958186167282516898164890025197658\ 8690397031939172157632962412345626474289773989718412425542656 ngd[{2, 2, 2, 2}, 7, 50] = 10063404783156129429118686574817651319094334973888\ 6827842790244890216273853304655668644772948638288927806355888896 ngd[{2, 2, 2, 2}, 7, 51] = 22809383988285255038202373336529987136629740743216\ 992679347795905141149681945516208264161369186092274837629078943744 ngd[{2, 2, 2, 2}, 7, 52] = 51258464039129358327537931317567964644517513294267\ 21070918100766855815649042124821665140319852320175986311121553374208 ngd[{2, 2, 2, 2}, 7, 53] = 11425465395136022119283396401973376414525494144788\ 26457440538603262179756266615005209117962766542394431057275328163942400 ngd[{2, 2, 2, 2}, 7, 54] = 25269672522943036802942358569580601085046343465002\ 4285092898629552988423142770245193302635652244535328218879385147019117824 ngd[{2, 2, 2, 2}, 7, 55] = 55474469559040175503419418212177982229215892712592\ 814849253797193984023156163569086910189200070929581196249777671287236402176 ngd[{2, 2, 2, 2}, 7, 56] = 12091917809090604028691979043140790743394832373567\ 66261226104255609364171012349819700729285140391124582765629286407232870611584\ 0 ngd[{2, 2, 2, 2}, 8, 1] = 0 ngd[{2, 2, 2, 2}, 8, 2] = 0 ngd[{2, 2, 2, 2}, 8, 3] = 0 ngd[{2, 2, 2, 2}, 8, 4] = 0 ngd[{2, 2, 2, 2}, 8, 5] = 0 ngd[{2, 2, 2, 2}, 8, 6] = 0 ngd[{2, 2, 2, 2}, 8, 7] = 0 ngd[{2, 2, 2, 2}, 8, 8] = 0 ngd[{2, 2, 2, 2}, 8, 9] = 0 ngd[{2, 2, 2, 2}, 8, 10] = 0 ngd[{2, 2, 2, 2}, 8, 11] = 0 ngd[{2, 2, 2, 2}, 8, 12] = 81360384 ngd[{2, 2, 2, 2}, 8, 13] = -1840199106560 ngd[{2, 2, 2, 2}, 8, 14] = 38039536297154048 ngd[{2, 2, 2, 2}, 8, 15] = 924213527726515036160 ngd[{2, 2, 2, 2}, 8, 16] = 4710233489323095207669632 ngd[{2, 2, 2, 2}, 8, 17] = 12208739695637066871140902400 ngd[{2, 2, 2, 2}, 8, 18] = 20650652039057075043134527396352 ngd[{2, 2, 2, 2}, 8, 19] = 25782411397993698691241800140923392 ngd[{2, 2, 2, 2}, 8, 20] = 25570643051147967639524969208656913408 ngd[{2, 2, 2, 2}, 8, 21] = 21145303544733874642400104357515436532736 ngd[{2, 2, 2, 2}, 8, 22] = 15083683688769655836499819865065375411930112 ngd[{2, 2, 2, 2}, 8, 23] = 9516283483461462294245551429072393233568276992 ngd[{2, 2, 2, 2}, 8, 24] = 5411655256196284111389927004695786375121001782784 ngd[{2, 2, 2, 2}, 8, 25] = 2815251062575710612389208988257304417675637896778752 ngd[{2, 2, 2, 2}, 8, 26] = 1355634050848429250168495787135346064889062359900580864 ngd[{2, 2, 2, 2}, 8, 27] = 610030395681668646114644259179034263175243860191784837632 ngd[{2, 2, 2, 2}, 8, 28] = 258556074731843230248157212992040533531699930875006299139584 ngd[{2, 2, 2, 2}, 8, 29] = 103894972299428324378202514396723188412585568186285553554081280 ngd[{2, 2, 2, 2}, 8, 30] = 39798432345720424735405033255424858567064223252559290894270607360 ngd[{2, 2, 2, 2}, 8, 31] = 14601828547307989084015406206757159162860093598579959061256227412992 ngd[{2, 2, 2, 2}, 8, 32] = 5151906004924246404753197002043189710245369275262494411318838166326144 ngd[{2, 2, 2, 2}, 8, 33] = 1754128915222108261500169692103468054790514875809191179415989014326088192 ngd[{2, 2, 2, 2}, 8, 34] = 57810455515905935742042245930859117047133963011527557618675050450468092006\ 4 ngd[{2, 2, 2, 2}, 8, 35] = 18490912224228560517128275536131159473735108544184\ 9811449645025255640271150592 ngd[{2, 2, 2, 2}, 8, 36] = 57535558312011092728345928399716382940603655360130\ 382096051559988008181709321728 ngd[{2, 2, 2, 2}, 8, 37] = 17451931470982757879135218461472385925094540858095\ 213631387224516215204459395829248 ngd[{2, 2, 2, 2}, 8, 38] = 51699236482130220113661414094435253581193440886814\ 93594782987610741036697534511324160 ngd[{2, 2, 2, 2}, 8, 39] = 14982271903792746317613429147391353847498875675009\ 94362204788758788916032457907926533632 ngd[{2, 2, 2, 2}, 8, 40] = 42537340705942428141704872115354716989987884995823\ 4024112601502774755250804799166532908544 ngd[{2, 2, 2, 2}, 8, 41] = 11847991325953022135728950339020213740316995161703\ 0446630736667840470619401650827385586829312 ngd[{2, 2, 2, 2}, 8, 42] = 32413653991625608339084189842922413374915347939442\ 833874146044612306838779863021912471284021248 ngd[{2, 2, 2, 2}, 8, 43] = 87196419307551652662152452098115447137989448494505\ 92410216205594996649098696430457014847319602176 ngd[{2, 2, 2, 2}, 8, 44] = 23088325215358599049745053018840779239111443629094\ 39258559896640964378545920502357629105118228635648 ngd[{2, 2, 2, 2}, 8, 45] = 60229219171041033677506466062035330858240314580227\ 4310771330736479320870284875962298134637897469476352 ngd[{2, 2, 2, 2}, 8, 46] = 15491996880846053777222643104008801502154652978686\ 5677813059138435619845644029173259920404483435837207552 ngd[{2, 2, 2, 2}, 8, 47] = 39321257962672117076820147829808569937325273111996\ 470594007483260792646024304178481948930424825787106432512 ngd[{2, 2, 2, 2}, 8, 48] = 98554173372390680441946784802313422283533995427898\ 29798912246276239259252465717433873499222259730025072730624 ngd[{2, 2, 2, 2}, 8, 49] = 24408107799223467123809642374020893550647110634049\ 27242379661068778981341710294255309933981876675427814832967680 ngd[{2, 2, 2, 2}, 8, 50] = 59767769574784562619171592316933438213947082029227\ 2430552690136523531700584833864000420476796867740416585099361792 ngd[{2, 2, 2, 2}, 8, 51] = 14478274940464157891451610431786973010234488229908\ 9305062076636958593839441090311674263811029965033782304093115018240 ngd[{2, 2, 2, 2}, 8, 52] = 34714339341835162739264216132831762681986612539281\ 384274749624312692926465956628525309389875169964683832794161700480000 ngd[{2, 2, 2, 2}, 8, 53] = 82423854204825094621875364919826573060063300717161\ 36477819395933711140756261178811612654919372464796774566876929188102144 ngd[{2, 2, 2, 2}, 8, 54] = 19388493583223795105202579007027369571342544233578\ 16889150427540124563252713838378618444281677499495186764797527527085298688 ngd[{2, 2, 2, 2}, 8, 55] = 45202706477392781723870199045326737718255753272157\ 9006843301782973598678388820449030796533946511033567356111736442867664808960 ngd[{2, 2, 2, 2}, 8, 56] = 10449226767280233888093691797941716108765377780366\ 62518913608298819483600376160991231534038373149347996004343907115873997439864\ 32 ngd[{2, 2, 2, 2}, 9, 1] = 0 ngd[{2, 2, 2, 2}, 9, 2] = 0 ngd[{2, 2, 2, 2}, 9, 3] = 0 ngd[{2, 2, 2, 2}, 9, 4] = 0 ngd[{2, 2, 2, 2}, 9, 5] = 0 ngd[{2, 2, 2, 2}, 9, 6] = 0 ngd[{2, 2, 2, 2}, 9, 7] = 0 ngd[{2, 2, 2, 2}, 9, 8] = 0 ngd[{2, 2, 2, 2}, 9, 9] = 0 ngd[{2, 2, 2, 2}, 9, 10] = 0 ngd[{2, 2, 2, 2}, 9, 11] = 0 ngd[{2, 2, 2, 2}, 9, 12] = 88512 ngd[{2, 2, 2, 2}, 9, 13] = 82013184 ngd[{2, 2, 2, 2}, 9, 14] = -46250126646784 ngd[{2, 2, 2, 2}, 9, 15] = 581323260874183680 ngd[{2, 2, 2, 2}, 9, 16] = 25051396884573583291296 ngd[{2, 2, 2, 2}, 9, 17] = 168656188639603162591381504 ngd[{2, 2, 2, 2}, 9, 18] = 552691841686659496494365506560 ngd[{2, 2, 2, 2}, 9, 19] = 1153301717067492656753952968668160 ngd[{2, 2, 2, 2}, 9, 20] = 1744765640409527894929304197646256512 ngd[{2, 2, 2, 2}, 9, 21] = 2066837652585448815149532782906379196416 ngd[{2, 2, 2, 2}, 9, 22] = 2016923405020565354057176607039539794358272 ngd[{2, 2, 2, 2}, 9, 23] = 1680318370123110358187064716779039690742656000 ngd[{2, 2, 2, 2}, 9, 24] = 1226954409166870844515006178503447471925440729664 ngd[{2, 2, 2, 2}, 9, 25] = 801111839178114844513007688738198431987022656043008 ngd[{2, 2, 2, 2}, 9, 26] = 475097087453918308354219133282755208043242325603396608 ngd[{2, 2, 2, 2}, 9, 27] = 259133673834131580749439460111963485336219359457998759936 ngd[{2, 2, 2, 2}, 9, 28] = 131319415115826270068409297101129373353769587683546260185088 ngd[{2, 2, 2, 2}, 9, 29] = 62349981353041744604030157521981441856780931679305863659584512 ngd[{2, 2, 2, 2}, 9, 30] = 27930949930166643164307406169358846247114147626993773702014876672 ngd[{2, 2, 2, 2}, 9, 31] = 11875296907378657135881638647500274304499816166159274172888107264000 ngd[{2, 2, 2, 2}, 9, 32] = 4816174205652823792898750626752890829728019492595598624813948122272512 ngd[{2, 2, 2, 2}, 9, 33] = 1871294710991582176770152892034609812523168267983857361307189185924259840 ngd[{2, 2, 2, 2}, 9, 34] = 69919269476954910043079153670538013553534706909146977274082300427503667609\ 6 ngd[{2, 2, 2, 2}, 9, 35] = 25205243254494221575407794499530083867764075003192\ 0487597834238958214843801600 ngd[{2, 2, 2, 2}, 9, 36] = 87917488354507141281647468203942412190452211988605\ 521180241733350688538351379648 ngd[{2, 2, 2, 2}, 9, 37] = 29747800252540906345585223154462798472327219213705\ 945865296879234101661635873872896 ngd[{2, 2, 2, 2}, 9, 38] = 97861169119696936688015807952064293835728530951211\ 28093696485237547248487361317111296 ngd[{2, 2, 2, 2}, 9, 39] = 31362930587517052503806131700389652020658136001127\ 08099749113773704787841369082998266880 ngd[{2, 2, 2, 2}, 9, 40] = 98097321324749154666784975338751865766763854426657\ 8224294592419461258350985599753676200000 ngd[{2, 2, 2, 2}, 9, 41] = 29994159137320286354744352145647912859827180214793\ 8295148173101350021253394644675445376145408 ngd[{2, 2, 2, 2}, 9, 42] = 89782459041225664700004099400990413070762570933365\ 812463381127316599208184650693500058629987328 ngd[{2, 2, 2, 2}, 9, 43] = 26344983280513909578298322508924850390623360380120\ 932299945480425206667174929916860773602408403968 ngd[{2, 2, 2, 2}, 9, 44] = 75871698797800246575853498316154865948109375898363\ 37088434900813757367793740062472273864554596572672 ngd[{2, 2, 2, 2}, 9, 45] = 21469140203186408460837810380917456637929074172164\ 77272208348102912517398333383984606703715578217309184 ngd[{2, 2, 2, 2}, 9, 46] = 59750148891152389996741463594793368383895939818035\ 8275244264675544486499408263774532954743173646870429696 ngd[{2, 2, 2, 2}, 9, 47] = 16370161331127536024546555163071170605983128874655\ 0549508487252433448876652003583123449416149818567751211008 ngd[{2, 2, 2, 2}, 9, 48] = 44190024397612068950213920387458192584835352452226\ 196135131699231076326243018587756214935654790358177786783008 ngd[{2, 2, 2, 2}, 9, 49] = 11762279820094550499788386643308711724304284569854\ 288604691227258740855579154371983585060784677480222416590460928 ngd[{2, 2, 2, 2}, 9, 50] = 30893520016608017613843306806687212341882303281694\ 38418997308662818006650368004102410535305579287683831887796003328 ngd[{2, 2, 2, 2}, 9, 51] = 80120033564102599777743253229125840992439972517997\ 4238951674621097029668400392439797023212456452961923997293454953472 ngd[{2, 2, 2, 2}, 9, 52] = 20529613647375941255661143518553771953655605558106\ 4001458468331514485338622092420082165993802364543740963319581513788416 ngd[{2, 2, 2, 2}, 9, 53] = 52003829527807404886164707689233859598088691445828\ 273724291992731372746881697143390488759624690239231449261979152324244480 ngd[{2, 2, 2, 2}, 9, 54] = 13029759659724571227730998039784925546870846592626\ 676728178053985135438585675224478338647944740550600540142470374598432388608 ngd[{2, 2, 2, 2}, 9, 55] = 32307242193065312420730490277385612513664350528835\ 48971724591069659999802845695735192732870603027850466688012886474772802770944 ngd[{2, 2, 2, 2}, 9, 56] = 79309879202642491006613551016969392923359602616972\ 11131240100495910000900391724324584643810549726056102613347226728174362832994\ 56 ngd[{2, 2, 2, 2}, 10, 1] = 0 ngd[{2, 2, 2, 2}, 10, 2] = 0 ngd[{2, 2, 2, 2}, 10, 3] = 0 ngd[{2, 2, 2, 2}, 10, 4] = 0 ngd[{2, 2, 2, 2}, 10, 5] = 0 ngd[{2, 2, 2, 2}, 10, 6] = 0 ngd[{2, 2, 2, 2}, 10, 7] = 0 ngd[{2, 2, 2, 2}, 10, 8] = 0 ngd[{2, 2, 2, 2}, 10, 9] = 0 ngd[{2, 2, 2, 2}, 10, 10] = 0 ngd[{2, 2, 2, 2}, 10, 11] = 0 ngd[{2, 2, 2, 2}, 10, 12] = 0 ngd[{2, 2, 2, 2}, 10, 13] = 2497536 ngd[{2, 2, 2, 2}, 10, 14] = -506562560 ngd[{2, 2, 2, 2}, 10, 15] = -1181154216842240 ngd[{2, 2, 2, 2}, 10, 16] = 14901381714829991680 ngd[{2, 2, 2, 2}, 10, 17] = 907358655819182987918848 ngd[{2, 2, 2, 2}, 10, 18] = 7621141187219949034303709696 ngd[{2, 2, 2, 2}, 10, 19] = 30480509005456188094037623035392 ngd[{2, 2, 2, 2}, 10, 20] = 76447811304740837071583803962973184 ngd[{2, 2, 2, 2}, 10, 21] = 137276353872993935131569547339388965376 ngd[{2, 2, 2, 2}, 10, 22] = 190953153189421530393036820167766789853696 ngd[{2, 2, 2, 2}, 10, 23] = 216759805739935655952505539892312174900953600 ngd[{2, 2, 2, 2}, 10, 24] = 208316215794705997129373901109314777331560390400 ngd[{2, 2, 2, 2}, 10, 25] = 174164922036536031428865527781421929822602167882752 ngd[{2, 2, 2, 2}, 10, 26] = 129332960638657800106110329019237393959057430569285632 ngd[{2, 2, 2, 2}, 10, 27] = 86704575212010085069252610262151486922453221899200006144 ngd[{2, 2, 2, 2}, 10, 28] = 53164930433210984868459868277389085643811392103118159433728 ngd[{2, 2, 2, 2}, 10, 29] = 30135425882071666975613417593046765026897288095888261379932160 ngd[{2, 2, 2, 2}, 10, 30] = 15930084796147361880060705628344871996473556310439283604718220800 ngd[{2, 2, 2, 2}, 10, 31] = 7911277371128615348410341757611244674083584194504268838255346711552 ngd[{2, 2, 2, 2}, 10, 32] = 3714252121828950056830516919175143524460020685104791559763070100623616 ngd[{2, 2, 2, 2}, 10, 33] = 1657323984724204254612458247461297549626173187687835919656888381952436224 ngd[{2, 2, 2, 2}, 10, 34] = 70607393206387378706145470023072451104549250817793058402225573769012998144\ 0 ngd[{2, 2, 2, 2}, 10, 35] = 2883584311127071240752567220284346252190025916349\ 67475639792912734081003015168 ngd[{2, 2, 2, 2}, 10, 36] = 1132843922500854987214432311686537106206338927716\ 57773918299799600379030117484032 ngd[{2, 2, 2, 2}, 10, 37] = 4294329945801127378183825502124185387768943867206\ 8902652632231322847385853278856704 ngd[{2, 2, 2, 2}, 10, 38] = 1575026169310839771955879101615661596098099461110\ 3088625779918740264595747803213689856 ngd[{2, 2, 2, 2}, 10, 39] = 5602676217369652476252111451890335835974673366424\ 084700890023882978202134657700476369920 ngd[{2, 2, 2, 2}, 10, 40] = 1937113573177643506213449214492812407277521399819\ 489616622258390349485996986309780184115968 ngd[{2, 2, 2, 2}, 10, 41] = 6522385758624682874810617218219481413024494842581\ 10836043005307192233249762622758708530149376 ngd[{2, 2, 2, 2}, 10, 42] = 2142428125175685905163071697007752753302297656661\ 14206237323795427192653686078831320764375365632 ngd[{2, 2, 2, 2}, 10, 43] = 6876038269478352966493239525935685282341243029201\ 3478926250210436968475564549729703276554800497152 ngd[{2, 2, 2, 2}, 10, 44] = 2159348923789511135053888828237686942926462998908\ 3488031492728143405148832987293994923760948157914624 ngd[{2, 2, 2, 2}, 10, 45] = 6643918015882749494769247992379511295213236721792\ 106157579062055187516887322784192612815440430747211776 ngd[{2, 2, 2, 2}, 10, 46] = 2005199876587604207830652434060989249620421465643\ 599341529598730218820617002640742532234863091189343660032 ngd[{2, 2, 2, 2}, 10, 47] = 5942844964332091628483035558392940373951940948023\ 77665185613676558485828924635347976510235392189870405941248 ngd[{2, 2, 2, 2}, 10, 48] = 1731278588880379190928211948573122363929463766784\ 93333586590118498577095528779858041481690880123930434227977856 ngd[{2, 2, 2, 2}, 10, 49] = 4962187368887736146328999435437537813905858929642\ 1438507435348866477938054820854690143932101584615393847137172480 ngd[{2, 2, 2, 2}, 10, 50] = 1400489219163586447055623107575446129221425916567\ 8324194762684746266196554295755440446792024150591072435193231903232 ngd[{2, 2, 2, 2}, 10, 51] = 3895163327092877817318428020661761508023721314717\ 049309526345918336348887255301532075115504585195678503502319587192832 ngd[{2, 2, 2, 2}, 10, 52] = 1068377252681530443817366694648121510672775942380\ 858957793869702876728221281309180631204770217445704049361578849549861888 ngd[{2, 2, 2, 2}, 10, 53] = 2891796533252937557657249009116664267242691599105\ 70597871375973788950421994461264805671825896009367802637620985011926776320 ngd[{2, 2, 2, 2}, 10, 54] = 7729039310844554652852748624780393782740829392583\ 5083155992114840248801200152728472338495092581246804753132908677933850641408 ngd[{2, 2, 2, 2}, 10, 55] = 2041032320285519858846492002107343901430096495056\ 22915226553773881715015847381141214523823422270343758442315747134311695911096\ 32 ngd[{2, 2, 2, 2}, 10, 56] = 5328141686828416799721721553024291588399782820736\ 47298027305705793502119849629340753484084822968586265857987500714724145105482\ 2912 ngd[{2, 2, 2, 2}, 11, 1] = 0 ngd[{2, 2, 2, 2}, 11, 2] = 0 ngd[{2, 2, 2, 2}, 11, 3] = 0 ngd[{2, 2, 2, 2}, 11, 4] = 0 ngd[{2, 2, 2, 2}, 11, 5] = 0 ngd[{2, 2, 2, 2}, 11, 6] = 0 ngd[{2, 2, 2, 2}, 11, 7] = 0 ngd[{2, 2, 2, 2}, 11, 8] = 0 ngd[{2, 2, 2, 2}, 11, 9] = 0 ngd[{2, 2, 2, 2}, 11, 10] = 0 ngd[{2, 2, 2, 2}, 11, 11] = 0 ngd[{2, 2, 2, 2}, 11, 12] = 0 ngd[{2, 2, 2, 2}, 11, 13] = 0 ngd[{2, 2, 2, 2}, 11, 14] = 5999104 ngd[{2, 2, 2, 2}, 11, 15] = 201791118336 ngd[{2, 2, 2, 2}, 11, 16] = -32315540415202624 ngd[{2, 2, 2, 2}, 11, 17] = 687915119540429168640 ngd[{2, 2, 2, 2}, 11, 18] = 43434282542233662003822592 ngd[{2, 2, 2, 2}, 11, 19] = 431188685239688356854216055808 ngd[{2, 2, 2, 2}, 11, 20] = 2037385100434532247806022703159296 ngd[{2, 2, 2, 2}, 11, 21] = 5996550295285472431323326439146059776 ngd[{2, 2, 2, 2}, 11, 22] = 12540152791836050785553144457132097278208 ngd[{2, 2, 2, 2}, 11, 23] = 20163038952372035115233126507435595524514816 ngd[{2, 2, 2, 2}, 11, 24] = 26270795720947717687332425004053558647949478784 ngd[{2, 2, 2, 2}, 11, 25] = 28790436423284255034931014370634615321567775418368 ngd[{2, 2, 2, 2}, 11, 26] = 27283607913876301914480792418218257042881381903717632 ngd[{2, 2, 2, 2}, 11, 27] = 22837972730576922611379178704023404517153508616395552768 ngd[{2, 2, 2, 2}, 11, 28] = 17170283530652499773472364659170319308036592804516010335232 ngd[{2, 2, 2, 2}, 11, 29] = 11751642807782858557461136840279058455363234633409647000646656 ngd[{2, 2, 2, 2}, 11, 30] = 7402755115772369994400749975913612127111240458261271938995480064 ngd[{2, 2, 2, 2}, 11, 31] = 4331321737600176725671718730100318844654610038426451417718132354048 ngd[{2, 2, 2, 2}, 11, 32] = 2371940930262746327818504233920340585970910975055971431358195019646208 ngd[{2, 2, 2, 2}, 11, 33] = 1223671641100922857063475562724913828497692922489755415727772746823120896 ngd[{2, 2, 2, 2}, 11, 34] = 59802654125244892876309009224696114087136842147951497995903296941564194048\ 0 ngd[{2, 2, 2, 2}, 11, 35] = 2782007731328072126867189868443393993849876211465\ 79756757872355082978271580160 ngd[{2, 2, 2, 2}, 11, 36] = 1237072951601028630289738172476710232447633300666\ 39913398651004497885115593299712 ngd[{2, 2, 2, 2}, 11, 37] = 5277435096812779897798915319625427659824296944091\ 5124921457202784221619475640406016 ngd[{2, 2, 2, 2}, 11, 38] = 2166923779926891142713863710311663960838356949813\ 3916792131348725305525837620213003008 ngd[{2, 2, 2, 2}, 11, 39] = 8588162741366610212582714819851967206851534838535\ 361309496045202753093332260308728496128 ngd[{2, 2, 2, 2}, 11, 40] = 3293816891448927788207231777660079419089066167853\ 237386604215407412743061712347663179299584 ngd[{2, 2, 2, 2}, 11, 41] = 1225268245793353456453679791770850908830869583271\ 464844011100693538460953026126360914800837632 ngd[{2, 2, 2, 2}, 11, 42] = 4429806716825019304209731449752269579550025421212\ 64604436253434042497631840896742156154200974848 ngd[{2, 2, 2, 2}, 11, 43] = 1559417038637581723855244600755341028875959360821\ 00267119060502274458596229389482366322420495408128 ngd[{2, 2, 2, 2}, 11, 44] = 5354138118746786999110405477971680214311990105521\ 8241949104378383920357189921230019488217701083774976 ngd[{2, 2, 2, 2}, 11, 45] = 1795667255116928702421625568210471827621780759231\ 0818313919075017304553330687065174241439676325595429888 ngd[{2, 2, 2, 2}, 11, 46] = 5890764434817077955466136380794765892159916141663\ 705817133224221162823048920636515729668621898794569118720 ngd[{2, 2, 2, 2}, 11, 47] = 1892672970368799623674954791328429843456048017133\ 622507918854730377157005930284483120171456001505149819997184 ngd[{2, 2, 2, 2}, 11, 48] = 5962662761819726466722546699293494076722673204264\ 77457706033805271636393901980214316791205031683864888609447616 ngd[{2, 2, 2, 2}, 11, 49] = 1843857254561042862403951589119449402310486690773\ 09262568627014537569674030079206422080066372582913370635959788544 ngd[{2, 2, 2, 2}, 11, 50] = 5602240636606910880725523010447990033925191012913\ 5343505040872695924010119295426353600549875501270165601258352282368 ngd[{2, 2, 2, 2}, 11, 51] = 1673924465134292936620278529962981316376621743239\ 5081959645944598989461756681427924936298357989257210286384198046468096 ngd[{2, 2, 2, 2}, 11, 52] = 4922801351217126220207887708412188721169742538567\ 296757049977600018650448594358947209747672324507385133061744371544793088 ngd[{2, 2, 2, 2}, 11, 53] = 1426025362197112036782825492049901962222228029871\ 478360609040188111472955261597926667944935325894437964421830538479402644480 ngd[{2, 2, 2, 2}, 11, 54] = 4071859237401911549941202599989087366324628265195\ 07656274115630371942429207404022509036677285211300928233797802388829331911936 ngd[{2, 2, 2, 2}, 11, 55] = 1146830205070842667526897857899020756226108289679\ 63225236204871051988260387942197082285555545157631068019612326403558879020713\ 984 ngd[{2, 2, 2, 2}, 11, 56] = 3187989202732415190004764705862913465362620130682\ 25263153963910214651174110657324522433063816815453333001796279049732025869956\ 08960 ngd[{2, 2, 2, 2}, 12, 1] = 0 ngd[{2, 2, 2, 2}, 12, 2] = 0 ngd[{2, 2, 2, 2}, 12, 3] = 0 ngd[{2, 2, 2, 2}, 12, 4] = 0 ngd[{2, 2, 2, 2}, 12, 5] = 0 ngd[{2, 2, 2, 2}, 12, 6] = 0 ngd[{2, 2, 2, 2}, 12, 7] = 0 ngd[{2, 2, 2, 2}, 12, 8] = 0 ngd[{2, 2, 2, 2}, 12, 9] = 0 ngd[{2, 2, 2, 2}, 12, 10] = 0 ngd[{2, 2, 2, 2}, 12, 11] = 0 ngd[{2, 2, 2, 2}, 12, 12] = 0 ngd[{2, 2, 2, 2}, 12, 13] = 0 ngd[{2, 2, 2, 2}, 12, 14] = 97280 ngd[{2, 2, 2, 2}, 12, 15] = -49549824 ngd[{2, 2, 2, 2}, 12, 16] = 24070487994624 ngd[{2, 2, 2, 2}, 12, 17] = -966587170753723904 ngd[{2, 2, 2, 2}, 12, 18] = 48563497903424837286400 ngd[{2, 2, 2, 2}, 12, 19] = 2697934142782645720560662016 ngd[{2, 2, 2, 2}, 12, 20] = 30227228617279680911640638882816 ngd[{2, 2, 2, 2}, 12, 21] = 163928020064627588240516847601475072 ngd[{2, 2, 2, 2}, 12, 22] = 554093023097127509776067383262470006784 ngd[{2, 2, 2, 2}, 12, 23] = 1326243750916607005002309805472082281784832 ngd[{2, 2, 2, 2}, 12, 24] = 2429520590696984507530641010636399717701052672 ngd[{2, 2, 2, 2}, 12, 25] = 3588750042175979949685328911637888931779882816000 ngd[{2, 2, 2, 2}, 12, 26] = 4437062393527650104030303781349527164379401052241408 ngd[{2, 2, 2, 2}, 12, 27] = 4721434313918888659692253047908183235796043562525638144 ngd[{2, 2, 2, 2}, 12, 28] = 4417783393340421300720046191114947271130174752553242270720 ngd[{2, 2, 2, 2}, 12, 29] = 3697089227013775640723599265105549711854552458195464680843776 ngd[{2, 2, 2, 2}, 12, 30] = 2805360158550330665984464875484570490627235688659451325963338240 ngd[{2, 2, 2, 2}, 12, 31] = 1951955693629961891226001780903205406927645516707356053342665732608 ngd[{2, 2, 2, 2}, 12, 32] = 1257081491668054417340437748490701586577522699559145718926394550363648 ngd[{2, 2, 2, 2}, 12, 33] = 755244054907140484209490890115917510282200232195590137013863077140242944 ngd[{2, 2, 2, 2}, 12, 34] = 42613786908280419192412530097749161336027361296686190941492751672234109030\ 4 ngd[{2, 2, 2, 2}, 12, 35] = 2271168970446961728178049083694443818884989742606\ 26414777438492206218667369984 ngd[{2, 2, 2, 2}, 12, 36] = 1149072417294755925399708159585875071864966159389\ 02564000539923491609374953980416 ngd[{2, 2, 2, 2}, 12, 37] = 5542801547202074332115037758512380749625005763666\ 8560910961627300937955610712082944 ngd[{2, 2, 2, 2}, 12, 38] = 2558880060380095505165944342967749469388263939305\ 7640280274708737346614878197867963392 ngd[{2, 2, 2, 2}, 12, 39] = 1134409948425564408263410197249911684246067425383\ 8040243025756528468410850745431432884736 ngd[{2, 2, 2, 2}, 12, 40] = 4843799894228497672533708730045208317989804742788\ 157191424198357887317485246988244978276608 ngd[{2, 2, 2, 2}, 12, 41] = 1997353112345455888310545745307957341226693224427\ 380501810026248899227210442962781090651070464 ngd[{2, 2, 2, 2}, 12, 42] = 7972821466498982796914120604103240137415713632476\ 28004539723534871392779368713884828882654642176 ngd[{2, 2, 2, 2}, 12, 43] = 3087377858959166328679124187133797230493514087457\ 94669402832366743795735688044513109441891986615296 ngd[{2, 2, 2, 2}, 12, 44] = 1162063188327965013673969824269934834715818761449\ 70410906834240544924228103332894756786085371329191936 ngd[{2, 2, 2, 2}, 12, 45] = 4258872616815647580453640626812612267001481546609\ 9961689539827759712329811272827289715365747285400469504 ngd[{2, 2, 2, 2}, 12, 46] = 1522222007493499555626481542150323976238766127167\ 1690170428811493413251155293259709603186375709455153893376 ngd[{2, 2, 2, 2}, 12, 47] = 5313886211677570503252460220997429264001285128912\ 450741784133193817980678386312840335375211223967106766862848 ngd[{2, 2, 2, 2}, 12, 48] = 1814161237851197664982177372438035342815990410806\ 310482363479245650499794225961628593588103226170219864739448192 ngd[{2, 2, 2, 2}, 12, 49] = 6064561456164350473823049230870120195887574646325\ 69641769472991033415586907261669153786070791037270417556292614656 ngd[{2, 2, 2, 2}, 12, 50] = 1987332578296840518705491571581432022730814661712\ 73909261852240843079912444784956510637692000126728316497775426745856 ngd[{2, 2, 2, 2}, 12, 51] = 6390558817511787633182444122313862363237712226829\ 9435800826326274484901631131450654404750728852009651043835348799584256 ngd[{2, 2, 2, 2}, 12, 52] = 2018456700080207856651371072996603596870429182931\ 3843385955986319151930841049237625895446429429381389903306868156251855360 ngd[{2, 2, 2, 2}, 12, 53] = 6267533322288591309692118768333947956014911104841\ 546107946701183461073508111664757394702738329069754575164578960774700070912 ngd[{2, 2, 2, 2}, 12, 54] = 1914815349626179891620721696558193050194456242156\ 56672959252189452102900899873626766182469554275056958689328619142106620515942\ 4 ngd[{2, 2, 2, 2}, 12, 55] = 5760250609708801935688059761496421256021293742331\ 31590032164012536624776855807040911513411865534943736701690552391728385668377\ 088 ngd[{2, 2, 2, 2}, 12, 56] = 1707451579133299269702953332356294399759065528817\ 26337989265784984156310123263992215494562604707723814696359454155184501608996\ 393472 ngd[{2, 2, 2, 2}, 13, 1] = 0 ngd[{2, 2, 2, 2}, 13, 2] = 0 ngd[{2, 2, 2, 2}, 13, 3] = 0 ngd[{2, 2, 2, 2}, 13, 4] = 0 ngd[{2, 2, 2, 2}, 13, 5] = 0 ngd[{2, 2, 2, 2}, 13, 6] = 0 ngd[{2, 2, 2, 2}, 13, 7] = 0 ngd[{2, 2, 2, 2}, 13, 8] = 0 ngd[{2, 2, 2, 2}, 13, 9] = 0 ngd[{2, 2, 2, 2}, 13, 10] = 0 ngd[{2, 2, 2, 2}, 13, 11] = 0 ngd[{2, 2, 2, 2}, 13, 12] = 0 ngd[{2, 2, 2, 2}, 13, 13] = 0 ngd[{2, 2, 2, 2}, 13, 14] = 0 ngd[{2, 2, 2, 2}, 13, 15] = 445440 ngd[{2, 2, 2, 2}, 13, 16] = 248986784 ngd[{2, 2, 2, 2}, 13, 17] = 1772545741559808 ngd[{2, 2, 2, 2}, 13, 18] = -29868247805664472576 ngd[{2, 2, 2, 2}, 13, 19] = 4455575770508930979636224 ngd[{2, 2, 2, 2}, 13, 20] = 212735366594699449928749110656 ngd[{2, 2, 2, 2}, 13, 21] = 2594334864310631583038852435244032 ngd[{2, 2, 2, 2}, 13, 22] = 15751179326564351432046916680004136448 ngd[{2, 2, 2, 2}, 13, 23] = 59980693310657427011059781866711957473280 ngd[{2, 2, 2, 2}, 13, 24] = 161770722214677772902854381678076777781372000 ngd[{2, 2, 2, 2}, 13, 25] = 333212438047340285398773143666929311714924270592 ngd[{2, 2, 2, 2}, 13, 26] = 551730887252489248344188666019127611275815882873344 ngd[{2, 2, 2, 2}, 13, 27] = 762002648153845820917251633281974814321796442594564096 ngd[{2, 2, 2, 2}, 13, 28] = 902523356538104028398673056409329378179940393140348327168 ngd[{2, 2, 2, 2}, 13, 29] = 936639407526732316825645128555114925599833023855629909357568 ngd[{2, 2, 2, 2}, 13, 30] = 866393608728699840186411800626200551549757228850173992215714816 ngd[{2, 2, 2, 2}, 13, 31] = 724259109494198675133420854759008443906073323933168012329870213120 ngd[{2, 2, 2, 2}, 13, 32] = 553418476946522965248239684684624281287344247811351058719718954876160 ngd[{2, 2, 2, 2}, 13, 33] = 390230595142184817208080771469719820526609201559634968414966298466712576 ngd[{2, 2, 2, 2}, 13, 34] = 25596581420689265061670283629384110252682955846911814365326260470101232640\ 0 ngd[{2, 2, 2, 2}, 13, 35] = 1572565224493261231488053601242490234615862778835\ 10304889042751153388132194304 ngd[{2, 2, 2, 2}, 13, 36] = 9102496828269352541473661610587715160949765343761\ 3548645426949033790359413020928 ngd[{2, 2, 2, 2}, 13, 37] = 4989510119571047375225990125520034706392733195443\ 3076002398231564119651004975583232 ngd[{2, 2, 2, 2}, 13, 38] = 2601602020789165637535459105964276399987120772002\ 1664488085976493620714413366467875840 ngd[{2, 2, 2, 2}, 13, 39] = 1295434352398217224475327792561974053753926367095\ 9197107576196346435100525595988191897600 ngd[{2, 2, 2, 2}, 13, 40] = 6181450436666733321682386191006510672441446622994\ 273556407314417461176016507922091193116640 ngd[{2, 2, 2, 2}, 13, 41] = 2835353788907472658686301510747764796431568535702\ 020490074474964179643772907210933956202226688 ngd[{2, 2, 2, 2}, 13, 42] = 1253615487853322157420436204808626905793371232171\ 540991627687894244354054553248367165113844940800 ngd[{2, 2, 2, 2}, 13, 43] = 5355954444640834799057353193413266701009921668619\ 18993596924756221883474119638760854588743752720384 ngd[{2, 2, 2, 2}, 13, 44] = 2216120958034395583522857369416777603016492039629\ 60488395275572381490671159962356673572250316242618368 ngd[{2, 2, 2, 2}, 13, 45] = 8898360297984980357878473621808008966440813346618\ 5497230838256599949587047295278294066827442858965835776 ngd[{2, 2, 2, 2}, 13, 46] = 3473611219730441390763949386619799941308970612788\ 1417420973933689920970837923814996407287397716670846663168 ngd[{2, 2, 2, 2}, 13, 47] = 1320476284890232495404568938936794115941914387310\ 4800521118481964266344833206547622411912148466457740960164864 ngd[{2, 2, 2, 2}, 13, 48] = 4895744575868046293519548248620766145110247070831\ 658349978157863690427858255324684896271836382653657349284348704 ngd[{2, 2, 2, 2}, 13, 49] = 1772762199535203331378114428965061317094332115040\ 617302669784309177273434244154009555386532596492483633699146084352 ngd[{2, 2, 2, 2}, 13, 50] = 6277418239299410566267169070994040188500050908714\ 39448009833355829417314267352146839534628637777636843583738578466304 ngd[{2, 2, 2, 2}, 13, 51] = 2176313809333421230029864359992685729851615960022\ 77003216577199179111214589473782980217372986058144741114523446723076096 ngd[{2, 2, 2, 2}, 13, 52] = 7395086172437847715180961783883640255832872503617\ 9067399499623775773390881005205614436596816066370137183694398505920171008 ngd[{2, 2, 2, 2}, 13, 53] = 2465369584570893405098552601202515305426212202168\ 4597149844324029412474118541727273597425068892293524795889224133057418759168 ngd[{2, 2, 2, 2}, 13, 54] = 8071265617539385791544761362445374797584329519813\ 75003046971972264776270293916432474870376418467635910734023494674727381157120\ 0 ngd[{2, 2, 2, 2}, 13, 55] = 2597148745669914394151420752735571498025352743662\ 25984788416138767150635326095724294888669300996807956516482517790010036773518\ 2336 ngd[{2, 2, 2, 2}, 13, 56] = 8220459773002582981113055887049740708522920091205\ 42716545962669875152713282581027673429068409524906840722771211082006586328027\ 652416 ngd[{2, 2, 2, 2}, 14, 1] = 0 ngd[{2, 2, 2, 2}, 14, 2] = 0 ngd[{2, 2, 2, 2}, 14, 3] = 0 ngd[{2, 2, 2, 2}, 14, 4] = 0 ngd[{2, 2, 2, 2}, 14, 5] = 0 ngd[{2, 2, 2, 2}, 14, 6] = 0 ngd[{2, 2, 2, 2}, 14, 7] = 0 ngd[{2, 2, 2, 2}, 14, 8] = 0 ngd[{2, 2, 2, 2}, 14, 9] = 0 ngd[{2, 2, 2, 2}, 14, 10] = 0 ngd[{2, 2, 2, 2}, 14, 11] = 0 ngd[{2, 2, 2, 2}, 14, 12] = 0 ngd[{2, 2, 2, 2}, 14, 13] = 0 ngd[{2, 2, 2, 2}, 14, 14] = 0 ngd[{2, 2, 2, 2}, 14, 15] = 7680 ngd[{2, 2, 2, 2}, 14, 16] = -4483456 ngd[{2, 2, 2, 2}, 14, 17] = -268594119168 ngd[{2, 2, 2, 2}, 14, 18] = 110506984096978944 ngd[{2, 2, 2, 2}, 14, 19] = -415879219061400481280 ngd[{2, 2, 2, 2}, 14, 20] = 496911847544927654005987328 ngd[{2, 2, 2, 2}, 14, 21] = 20834158833670255219045328061440 ngd[{2, 2, 2, 2}, 14, 22] = 269246832301927355891683657031999488 ngd[{2, 2, 2, 2}, 14, 23] = 1792150194011500552238298421710569739264 ngd[{2, 2, 2, 2}, 14, 24] = 7560380776815833025307674782130517943643392 ngd[{2, 2, 2, 2}, 14, 25] = 22657342511497838510317605989359109678395354624 ngd[{2, 2, 2, 2}, 14, 26] = 51853155783429150326461214932228345267751813547008 ngd[{2, 2, 2, 2}, 14, 27] = 95250403248916254968603863780439512990383473373904896 ngd[{2, 2, 2, 2}, 14, 28] = 145617733126599070773868231189478936374582413279697527296 ngd[{2, 2, 2, 2}, 14, 29] = 190423112900599785010196056862915296975787760056249254813184 ngd[{2, 2, 2, 2}, 14, 30] = 217600922353877570777295927783992596578821940944296640761617408 ngd[{2, 2, 2, 2}, 14, 31] = 221024765864699581272659377197149526748742020170441064507376033280 ngd[{2, 2, 2, 2}, 14, 32] = 202339845442249100210291780863824850574481107734329047888670394112000 ngd[{2, 2, 2, 2}, 14, 33] = 168871693460127320438833888114873584698383889285310639272931753886514176 ngd[{2, 2, 2, 2}, 14, 34] = 12972764525511676076708339453437867832830973354536065190226910215531482112\ 0 ngd[{2, 2, 2, 2}, 14, 35] = 92477498433081205606134952572126128079056243536298826928228434396840785573\ 888 ngd[{2, 2, 2, 2}, 14, 36] = 6160059597262887061811288048202763651775374543051\ 2271793576569073813242592231936 ngd[{2, 2, 2, 2}, 14, 37] = 3857293780307670709543036473226210398457341791156\ 2972418041868803967032701522733056 ngd[{2, 2, 2, 2}, 14, 38] = 2282409398738247935253139504332138043552479471602\ 2709055837788816907119468579003408896 ngd[{2, 2, 2, 2}, 14, 39] = 1282034802050237663643733940711073033991450405083\ 0987244811206075479982723658196932616704 ngd[{2, 2, 2, 2}, 14, 40] = 6863539447373692745902366483309133793751367873950\ 544994939955321272488743384979021645828864 ngd[{2, 2, 2, 2}, 14, 41] = 3514682069636282736160716027403260706503168009658\ 828370116674583460121522527139437732476025344 ngd[{2, 2, 2, 2}, 14, 42] = 1726997613260235692993337653250496633149691685906\ 576211936666603313757368156860242893714985319424 ngd[{2, 2, 2, 2}, 14, 43] = 8165792263063680775529169714329968192264644301893\ 17456129614903285177158628529379664539817524649984 ngd[{2, 2, 2, 2}, 14, 44] = 3724893674475404933777691568075664154476023909965\ 74856724541220855623774191315679378206405056509555712 ngd[{2, 2, 2, 2}, 14, 45] = 1643001786890835297320418143394691205861400441347\ 47511784636706104280861752031781299793699712591134834688 ngd[{2, 2, 2, 2}, 14, 46] = 7022244073578863539769034070970849858372611252693\ 2960113592795608742013362109065794953334904114513142871552 ngd[{2, 2, 2, 2}, 14, 47] = 2913733795747572274950832431223996478406682888669\ 4188209717575696814738591982486845798197107015453426341995008 ngd[{2, 2, 2, 2}, 14, 48] = 1175734798232602210052744203348976612073166098740\ 6630821225427910399531707535266002690917060903608603216984201728 ngd[{2, 2, 2, 2}, 14, 49] = 4621037820656287872884500986816315339356154399977\ 964962173734575250835927922159290537884582890181505342008359154688 ngd[{2, 2, 2, 2}, 14, 50] = 1771610721775167779787639679495048666642900674815\ 858028666719493319976176168616598412120490778225230618665727729854976 ngd[{2, 2, 2, 2}, 14, 51] = 6633959393309717645981580610364583623174848923695\ 41087776624727451787476357430958823887682250858545141078963896567457280 ngd[{2, 2, 2, 2}, 14, 52] = 2429319833237813333818516042775515622959715487972\ 52076386974083872893012874046674155616745926281932578232905236383592767488 ngd[{2, 2, 2, 2}, 14, 53] = 8709532620297334432995743358697819517413132633712\ 0079691214054940604465528481331083901743754672542466251372927205781837977600 ngd[{2, 2, 2, 2}, 14, 54] = 3060254237366597950602769608852860221015744918278\ 10875216091132121351882761900502122654776842673956787675293745813576002020106\ 24 ngd[{2, 2, 2, 2}, 14, 55] = 1054857628115935548503014715273380805664902007513\ 78754672296856630938595579124230667921924455281044556906979525110973787006911\ 02208 ngd[{2, 2, 2, 2}, 14, 56] = 3570221416979050469041992244818895373085868984609\ 57363230134465212796309927632104479738733613937283461454290925208295563417371\ 9055360 ngd[{2, 2, 2, 2}, 15, 1] = 0 ngd[{2, 2, 2, 2}, 15, 2] = 0 ngd[{2, 2, 2, 2}, 15, 3] = 0 ngd[{2, 2, 2, 2}, 15, 4] = 0 ngd[{2, 2, 2, 2}, 15, 5] = 0 ngd[{2, 2, 2, 2}, 15, 6] = 0 ngd[{2, 2, 2, 2}, 15, 7] = 0 ngd[{2, 2, 2, 2}, 15, 8] = 0 ngd[{2, 2, 2, 2}, 15, 9] = 0 ngd[{2, 2, 2, 2}, 15, 10] = 0 ngd[{2, 2, 2, 2}, 15, 11] = 0 ngd[{2, 2, 2, 2}, 15, 12] = 0 ngd[{2, 2, 2, 2}, 15, 13] = 0 ngd[{2, 2, 2, 2}, 15, 14] = 0 ngd[{2, 2, 2, 2}, 15, 15] = 0 ngd[{2, 2, 2, 2}, 15, 16] = 50432 ngd[{2, 2, 2, 2}, 15, 17] = 44360704 ngd[{2, 2, 2, 2}, 15, 18] = -92526046642688 ngd[{2, 2, 2, 2}, 15, 19] = 6525710066054849536 ngd[{2, 2, 2, 2}, 15, 20] = 159610416071556900856064 ngd[{2, 2, 2, 2}, 15, 21] = 65904648379499502322131298304 ngd[{2, 2, 2, 2}, 15, 22] = 2484917049850557000063315622645504 ngd[{2, 2, 2, 2}, 15, 23] = 33378939175690145924866423207556229120 ngd[{2, 2, 2, 2}, 15, 24] = 239390818080902256726483134177500606935040 ngd[{2, 2, 2, 2}, 15, 25] = 1102607695219570099421429107910500959426872320 ngd[{2, 2, 2, 2}, 15, 26] = 3626389692603555605264325643316385208268646186496 ngd[{2, 2, 2, 2}, 15, 27] = 9122635013333969652264026972431117154497362839719936 ngd[{2, 2, 2, 2}, 15, 28] = 18416339396584105125551788359712583365151891000945756160 ngd[{2, 2, 2, 2}, 15, 29] = 30905579231863372983567267443696331549370728340859072221184 ngd[{2, 2, 2, 2}, 15, 30] = 44288906746385734876262063040184733157383240828138538149515008 ngd[{2, 2, 2, 2}, 15, 31] = 55351884399646277303314522968318783953277491259614494424337390592 ngd[{2, 2, 2, 2}, 15, 32] = 61360867538022635942621547405033201759945730956321940784822721075200 ngd[{2, 2, 2, 2}, 15, 33] = 61174342717515721170110281757793840920043100870983815439006011666266112 ngd[{2, 2, 2, 2}, 15, 34] = 55480375037353197668129029086379145102424885472763398404864868988094201088 ngd[{2, 2, 2, 2}, 15, 35] = 46214673656695770825351146143020367401812923218891415427024747765237384098\ 816 ngd[{2, 2, 2, 2}, 15, 36] = 3564839475057699211559652175050275933113216733237\ 4562812591844335534235392759808 ngd[{2, 2, 2, 2}, 15, 37] = 2564269936627361046178426463647216397491247154745\ 0995352444444237569309477962969088 ngd[{2, 2, 2, 2}, 15, 38] = 1730550725590040185991415968621261642672449214868\ 6990986646407887181924422469979764480 ngd[{2, 2, 2, 2}, 15, 39] = 1101530877778219286172117232953929864659820827800\ 7816777746420688507159388510888238271488 ngd[{2, 2, 2, 2}, 15, 40] = 6643767276273763096802479014839591447454263412146\ 796046685111318061580341575637048856078592 ngd[{2, 2, 2, 2}, 15, 41] = 3812546323231177818458639779612830898333524198574\ 721995069116966832855893546233237641779986432 ngd[{2, 2, 2, 2}, 15, 42] = 2089183907732640031722363803860235526007672451667\ 425056862415386510780908247500743580583261568256 ngd[{2, 2, 2, 2}, 15, 43] = 1096747356119165268781645777499960201926200633544\ 043252317976893238775057110728188427444816161087488 ngd[{2, 2, 2, 2}, 15, 44] = 5531797846554944916948105442203371165725726144587\ 85650495720058338325596773796510449027735850977023488 ngd[{2, 2, 2, 2}, 15, 45] = 2687762923968433364139570218803199491438713459763\ 67248776179185877743009158554812892450359549075307495424 ngd[{2, 2, 2, 2}, 15, 46] = 1260973929308764934710559866932596734225340737852\ 16366994475801020501941936376930900115357147812379232102144 ngd[{2, 2, 2, 2}, 15, 47] = 5724552749422901848671895073053541950716164805866\ 7299139995219890386004514362710429338992743260791422420348928 ngd[{2, 2, 2, 2}, 15, 48] = 2519667024850053034154688903401661500957807306086\ 0037101154360268243843902914636413835044875590521582799621232960 ngd[{2, 2, 2, 2}, 15, 49] = 1077166152840518012539964951248311091458805407456\ 6395294403654432111965910475709648159330119008917063340078362580992 ngd[{2, 2, 2, 2}, 15, 50] = 4479881412097014160888804983426141921890970664152\ 872441601041233658683328493254671209533680186348315988583867070663168 ngd[{2, 2, 2, 2}, 15, 51] = 1815276295634407505323551881679618273937472353139\ 859367227232467816023459809184887424605655774083797949939803649246787584 ngd[{2, 2, 2, 2}, 15, 52] = 7176415764857279190620772617009666372875926312366\ 06310445316339757024225227881936327221623341854666571994497737925639514112 ngd[{2, 2, 2, 2}, 15, 53] = 2771474543742979017239165550709819425552145659288\ 22947200774792995472306029274791568668100814147142760546613344635430956156928 ngd[{2, 2, 2, 2}, 15, 54] = 1046792934560735711097735528846721587322748145262\ 43784523544406074345643842401203098717368113389814155323932717233304568975824\ 128 ngd[{2, 2, 2, 2}, 15, 55] = 3871041962072312431538952325512313256728425768866\ 67884686527967243313842709916018550055336907007060362524908997913621504189095\ 70048 ngd[{2, 2, 2, 2}, 15, 56] = 1402971763309812671538222595731781713535379518956\ 55702637010542552989397763868001834272696689544392079589692804676234705399033\ 07817088 ngd[{2, 2, 2, 2}, 16, 1] = 0 ngd[{2, 2, 2, 2}, 16, 2] = 0 ngd[{2, 2, 2, 2}, 16, 3] = 0 ngd[{2, 2, 2, 2}, 16, 4] = 0 ngd[{2, 2, 2, 2}, 16, 5] = 0 ngd[{2, 2, 2, 2}, 16, 6] = 0 ngd[{2, 2, 2, 2}, 16, 7] = 0 ngd[{2, 2, 2, 2}, 16, 8] = 0 ngd[{2, 2, 2, 2}, 16, 9] = 0 ngd[{2, 2, 2, 2}, 16, 10] = 0 ngd[{2, 2, 2, 2}, 16, 11] = 0 ngd[{2, 2, 2, 2}, 16, 12] = 0 ngd[{2, 2, 2, 2}, 16, 13] = 0 ngd[{2, 2, 2, 2}, 16, 14] = 0 ngd[{2, 2, 2, 2}, 16, 15] = 0 ngd[{2, 2, 2, 2}, 16, 16] = 1792 ngd[{2, 2, 2, 2}, 16, 17] = -1254912 ngd[{2, 2, 2, 2}, 16, 18] = -314074112 ngd[{2, 2, 2, 2}, 16, 19] = -14179929690509824 ngd[{2, 2, 2, 2}, 16, 20] = 386253033588990546432 ngd[{2, 2, 2, 2}, 16, 21] = 51376455232200453738231296 ngd[{2, 2, 2, 2}, 16, 22] = 10286688976747031725236859933184 ngd[{2, 2, 2, 2}, 16, 23] = 354890437721644460124535303721867776 ngd[{2, 2, 2, 2}, 16, 24] = 4886288524440400260384448075129895049472 ngd[{2, 2, 2, 2}, 16, 25] = 37226664524099819481129258871426685657318400 ngd[{2, 2, 2, 2}, 16, 26] = 184870099751290018544393637215248409199667324928 ngd[{2, 2, 2, 2}, 16, 27] = 660009941429976210343407838103327950345930926501888 ngd[{2, 2, 2, 2}, 16, 28] = 1807549743239443510179780396377269600067617367760847872 ngd[{2, 2, 2, 2}, 16, 29] = 3976031534094013575105594355656506972241574934215254021120 ngd[{2, 2, 2, 2}, 16, 30] = 7268513798140268296625572819102305644999173008271509853068800 ngd[{2, 2, 2, 2}, 16, 31] = 11336031487121726914481992175485913750058615609147074253307216384 ngd[{2, 2, 2, 2}, 16, 32] = 15398521871167913679114077743829152154041259058312718116739616961280 ngd[{2, 2, 2, 2}, 16, 33] = 18524282556951660705624372398680766388122317053414285710258841117609984 ngd[{2, 2, 2, 2}, 16, 34] = 20007342374302981380132708282517431672003023157716440190479819301528653312 ngd[{2, 2, 2, 2}, 16, 35] = 19623173547827484811635178944352822275900254898514875886295689511989673477\ 632 ngd[{2, 2, 2, 2}, 16, 36] = 1764616218865746933341249463280514339562886163993\ 4065291345948625057056925360640 ngd[{2, 2, 2, 2}, 16, 37] = 1466847289867051063476444072975421937117135110064\ 9305546500982130635975164253205504 ngd[{2, 2, 2, 2}, 16, 38] = 1135085079535955171155398261092833127000533713290\ 9231317713348786208167501772626604544 ngd[{2, 2, 2, 2}, 16, 39] = 8226786480925229219922068828307287518549544802245\ 836220025574901791863778530463219027456 ngd[{2, 2, 2, 2}, 16, 40] = 5614417654208916917298804087950881372235606346219\ 391587292838022876568401514427539880391424 ngd[{2, 2, 2, 2}, 16, 41] = 3624823746005317897700372934248409827043093474255\ 825750251446882163169313981669613217601504768 ngd[{2, 2, 2, 2}, 16, 42] = 2223190692543512964048505998594644295634789347196\ 301517828376080638856712825099246837517464290304 ngd[{2, 2, 2, 2}, 16, 43] = 1300094080046593026883550479322520145210581595391\ 174329590489144355746934930883602851267102872704000 ngd[{2, 2, 2, 2}, 16, 44] = 7272962864428394320726414293354176522588145938644\ 44694286999683712057306592506970801366423726668600832 ngd[{2, 2, 2, 2}, 16, 45] = 3903644710466403834518126839365451273757101824041\ 82810120340279427330658703869044311360264094716093743616 ngd[{2, 2, 2, 2}, 16, 46] = 2015619620205550100582563070435248718835287971383\ 78533945667076879847933383164770591925759348124722497747456 ngd[{2, 2, 2, 2}, 16, 47] = 1003628598093962401685472647117545340576946792882\ 03779869418895543698108324666187273817537335012852995665163776 ngd[{2, 2, 2, 2}, 16, 48] = 4829631176249159538286053492629230385134027099697\ 1097930119929023924311473817850805126353007072515267822529785856 ngd[{2, 2, 2, 2}, 16, 49] = 2250593045637381019854279849840624562204755549903\ 3608273917929708060103402951301907457496366561344892278041017260544 ngd[{2, 2, 2, 2}, 16, 50] = 1017449413040265572115649835533425038516384517430\ 6387820863911522319880059925422404413664946833256723862379083741030400 ngd[{2, 2, 2, 2}, 16, 51] = 4469778611520683607686144873416927384630282907822\ 876292400268627543331518339256986520738013644470561474010956746894749184 ngd[{2, 2, 2, 2}, 16, 52] = 1911093995493246561723024374334128808060333203998\ 826763066060605193431098878136739676227006634794078801224098370350709483008 ngd[{2, 2, 2, 2}, 16, 53] = 7963679803755064679906001426407886447353704317116\ 07962715325325116535359118673479441078126102577555550074889068937555381157376 ngd[{2, 2, 2, 2}, 16, 54] = 3238522589427476082446701584665910521096983443657\ 13377452630491081903169924081233028155381050079505498050275320441840389644857\ 856 ngd[{2, 2, 2, 2}, 16, 55] = 1286781399048091183016487502405868798574082795551\ 67076376735688887167534287769353588872265992667219756497199612048925768582728\ 625152 ngd[{2, 2, 2, 2}, 16, 56] = 5001179251636957082834722182776505609666655444567\ 17764779854217636693240837021504420653613282667017704134499840214401183456977\ 96889088 ngd[{2, 2, 2, 2}, 17, 1] = 0 ngd[{2, 2, 2, 2}, 17, 2] = 0 ngd[{2, 2, 2, 2}, 17, 3] = 0 ngd[{2, 2, 2, 2}, 17, 4] = 0 ngd[{2, 2, 2, 2}, 17, 5] = 0 ngd[{2, 2, 2, 2}, 17, 6] = 0 ngd[{2, 2, 2, 2}, 17, 7] = 0 ngd[{2, 2, 2, 2}, 17, 8] = 0 ngd[{2, 2, 2, 2}, 17, 9] = 0 ngd[{2, 2, 2, 2}, 17, 10] = 0 ngd[{2, 2, 2, 2}, 17, 11] = 0 ngd[{2, 2, 2, 2}, 17, 12] = 0 ngd[{2, 2, 2, 2}, 17, 13] = 0 ngd[{2, 2, 2, 2}, 17, 14] = 0 ngd[{2, 2, 2, 2}, 17, 15] = 0 ngd[{2, 2, 2, 2}, 17, 16] = 28 ngd[{2, 2, 2, 2}, 17, 17] = -21504 ngd[{2, 2, 2, 2}, 17, 18] = 25581056 ngd[{2, 2, 2, 2}, 17, 19] = 4584302450688 ngd[{2, 2, 2, 2}, 17, 20] = -1587101563295284832 ngd[{2, 2, 2, 2}, 17, 21] = 27618856757175231065088 ngd[{2, 2, 2, 2}, 17, 22] = 13987515384971044356863635456 ngd[{2, 2, 2, 2}, 17, 23] = 1872892065831284830296015286710272 ngd[{2, 2, 2, 2}, 17, 24] = 59818755814477409445603822757801523168 ngd[{2, 2, 2, 2}, 17, 25] = 835662708777955343074919196742654318469120 ngd[{2, 2, 2, 2}, 17, 26] = 6685054796561540124278149646576464721909381120 ngd[{2, 2, 2, 2}, 17, 27] = 35412038390409674939423991090434656539064224914432 ngd[{2, 2, 2, 2}, 17, 28] = 135918964944704722967409050167253724938400129815245056 ngd[{2, 2, 2, 2}, 17, 29] = 401762844078955132018806128384144566340018429259717954560 ngd[{2, 2, 2, 2}, 17, 30] = 955528035261043438961610809357484907565304206809196697444352 ngd[{2, 2, 2, 2}, 17, 31] = 1889582062097832332771244148755683450383761681202774021414460416 ngd[{2, 2, 2, 2}, 17, 32] = 3187009476817366235721896718497590975415274760459256073631197319712 ngd[{2, 2, 2, 2}, 17, 33] = 4678094981840417776984884646584311156644736477379727840936428564349952 ngd[{2, 2, 2, 2}, 17, 34] = 6074809245912906382507215975539685753179392298526970542356661707056828416 ngd[{2, 2, 2, 2}, 17, 35] = 70734855563958218163555956333715587413811085121455767699198557746424300113\ 92 ngd[{2, 2, 2, 2}, 17, 36] = 7469104027554661184343656666374645225996703091683\ 676926821834923525333658561856 ngd[{2, 2, 2, 2}, 17, 37] = 7220709071974004378440929829335454728799269416381\ 584375399550883958109889755836416 ngd[{2, 2, 2, 2}, 17, 38] = 6443287840821314844677962231017355042376728870145\ 420240363086547264375824613408210944 ngd[{2, 2, 2, 2}, 17, 39] = 5344469374512865046633971901498050906287358200317\ 397854426868655716942516265158885010432 ngd[{2, 2, 2, 2}, 17, 40] = 4145960526129242463743452449013840422833743260486\ 274869172545750619950011346561441814676864 ngd[{2, 2, 2, 2}, 17, 41] = 3024078567727245295471004816259995521468465972156\ 052636261577991814474698294426491019564703744 ngd[{2, 2, 2, 2}, 17, 42] = 2083799587096478342881834622894360444138575227458\ 792483258486873742226518334228138739195840052736 ngd[{2, 2, 2, 2}, 17, 43] = 1362161058790806643703510104217864776338110713463\ 615706864210455217847549817821480345020236930104320 ngd[{2, 2, 2, 2}, 17, 44] = 8478660001761501248747190089351298147472611956968\ 06011615955893844608241280901067275110454305037144064 ngd[{2, 2, 2, 2}, 17, 45] = 5041958432848152677913056835764828245103831418856\ 35903129696119049229322080677914496013474454774580608000 ngd[{2, 2, 2, 2}, 17, 46] = 2873065184724726227404651100839074312875685277540\ 18167072878827785332482427478611500610698841064541743635968 ngd[{2, 2, 2, 2}, 17, 47] = 1573041153795459504080931068533367650395491151866\ 05777990532112629304147448380450361367809101962090121102916608 ngd[{2, 2, 2, 2}, 17, 48] = 8295581970158370024879147408055699639499521564988\ 3500966087853783373825550848546241164356454280306212538890064076 ngd[{2, 2, 2, 2}, 17, 49] = 4223114405775104677902301520636322132688670978088\ 7450904026279899722099279088678377703218560402111119657577347462144 ngd[{2, 2, 2, 2}, 17, 50] = 2079600684419476609231903960324503786412196183484\ 2704036982731075495550316787928481675875750401541682188531571364855808 ngd[{2, 2, 2, 2}, 17, 51] = 9924184254808533199085932150202040046529516778958\ 718982796938381135418220669160530717251515588296429414873705823040538624 ngd[{2, 2, 2, 2}, 17, 52] = 4597453044680866972155286236259706011683441474001\ 202251351898858314676632744717221091027359739967602264546202309480805751552 ngd[{2, 2, 2, 2}, 17, 53] = 2070750412406278147816717045894286472641085854629\ 22730266921417817423434708955255694902823957982368391192968870075615142135296\ 0 ngd[{2, 2, 2, 2}, 17, 54] = 9081411303508789507788988921567629895909038624344\ 75711958619275266940863627475267038508631711591196543093229450239122625088305\ 152 ngd[{2, 2, 2, 2}, 17, 55] = 3883054863314368492332605910691894267567175350638\ 21079345100433894024738460137316958244978869435983782238564786869566422726837\ 150720 ngd[{2, 2, 2, 2}, 17, 56] = 1620782858306937491089990178752408601315815054559\ 10743498991521699741480201792731537948690100530572898523762145154411115707903\ 694584512 ngd[{2, 2, 2, 2}, 18, 1] = 0 ngd[{2, 2, 2, 2}, 18, 2] = 0 ngd[{2, 2, 2, 2}, 18, 3] = 0 ngd[{2, 2, 2, 2}, 18, 4] = 0 ngd[{2, 2, 2, 2}, 18, 5] = 0 ngd[{2, 2, 2, 2}, 18, 6] = 0 ngd[{2, 2, 2, 2}, 18, 7] = 0 ngd[{2, 2, 2, 2}, 18, 8] = 0 ngd[{2, 2, 2, 2}, 18, 9] = 0 ngd[{2, 2, 2, 2}, 18, 10] = 0 ngd[{2, 2, 2, 2}, 18, 11] = 0 ngd[{2, 2, 2, 2}, 18, 12] = 0 ngd[{2, 2, 2, 2}, 18, 13] = 0 ngd[{2, 2, 2, 2}, 18, 14] = 0 ngd[{2, 2, 2, 2}, 18, 15] = 0 ngd[{2, 2, 2, 2}, 18, 16] = 0 ngd[{2, 2, 2, 2}, 18, 17] = 0 ngd[{2, 2, 2, 2}, 18, 18] = 340480 ngd[{2, 2, 2, 2}, 18, 19] = -668342784 ngd[{2, 2, 2, 2}, 18, 20] = 2216923461686272 ngd[{2, 2, 2, 2}, 18, 21] = -153251281951259992064 ngd[{2, 2, 2, 2}, 18, 22] = 5118392018113612560206848 ngd[{2, 2, 2, 2}, 18, 23] = 3928328925181281045662397838336 ngd[{2, 2, 2, 2}, 18, 24] = 394234478302116091690184283524228608 ngd[{2, 2, 2, 2}, 18, 25] = 11752638829971413341190840103925152687104 ngd[{2, 2, 2, 2}, 18, 26] = 165342918947832238813358548928855068840252928 ngd[{2, 2, 2, 2}, 18, 27] = 1375760511253249894779779335125152629027755128832 ngd[{2, 2, 2, 2}, 18, 28] = 7702545748145078733025855579473754676352343793098752 ngd[{2, 2, 2, 2}, 18, 29] = 31516391392494181277872798464002066230833471522390427136 ngd[{2, 2, 2, 2}, 18, 30] = 99777855040240451273459046064721799677396363816579498428416 ngd[{2, 2, 2, 2}, 18, 31] = 254790847175073280084641184155331678947502746746269693453029888 ngd[{2, 2, 2, 2}, 18, 32] = 541582204079503751727836706213199201087730212685295572969001806976 ngd[{2, 2, 2, 2}, 18, 33] = 982094324285465961842827857461428088654712153024750400445694949262336 ngd[{2, 2, 2, 2}, 18, 34] = 1549473887914693782866844099122556980989860011654884936331296374465405952 ngd[{2, 2, 2, 2}, 18, 35] = 21612786533991654850214463595784124565483099064957554209296863466419072634\ 88 ngd[{2, 2, 2, 2}, 18, 36] = 2700778137068937862717711985686971706074234126157\ 707594910308008233281160349184 ngd[{2, 2, 2, 2}, 18, 37] = 3057373313460830301351533509132980459054342434632\ 062383071953292398012096724684288 ngd[{2, 2, 2, 2}, 18, 38] = 3165110121049390815725204159340796135817542503895\ 910890248410364104588550182214839808 ngd[{2, 2, 2, 2}, 18, 39] = 3020816310633857480843689464471916009633619385332\ 561207762953790901968144647254804551168 ngd[{2, 2, 2, 2}, 18, 40] = 2676666250007496127374262125550475302142187258836\ 897876069666023651683545415593259853989632 ngd[{2, 2, 2, 2}, 18, 41] = 2215375616094134830598290997847481857239164385634\ 721374511487675755557251215757379920739247104 ngd[{2, 2, 2, 2}, 18, 42] = 1721901392326496242158679186029257885316548717397\ 066794598194450030981810686416211097909567131648 ngd[{2, 2, 2, 2}, 18, 43] = 1262785272810538023689377096218249634842048575330\ 084326357551368585618093727154182990288609055502848 ngd[{2, 2, 2, 2}, 18, 44] = 8774727847201849423195380127807937310547865620768\ 23174919532929707566933870489999792263987531738064384 ngd[{2, 2, 2, 2}, 18, 45] = 5798922869687825966905381744136406253574877077468\ 34718123768671222808760399103779779536780396895106740736 ngd[{2, 2, 2, 2}, 18, 46] = 3657033888656245321170132877504678110650685892847\ 09444870718084529752734242788847768262474047188347257468416 ngd[{2, 2, 2, 2}, 18, 47] = 2207454896103110390945439804338013085919473894340\ 11713344112991645360668471434058344420025138638589105646955008 ngd[{2, 2, 2, 2}, 18, 48] = 1278859947140329360019293446698882602232071810095\ 15438726582599648426594389302093535055941618768948658214722017408 ngd[{2, 2, 2, 2}, 18, 49] = 7128520094837796017404207380896985953298657864512\ 5727229888380513672141149923078769199214986454694076583399797588480 ngd[{2, 2, 2, 2}, 18, 50] = 3831786629609595628060879460231694871557527530066\ 4570825900124146794643978687957750790173685833907301746929088745810432 ngd[{2, 2, 2, 2}, 18, 51] = 1990324586363521560898578608373490408161410637846\ 4196072755493000629079519565332279947290132143647254543651709797136656896 ngd[{2, 2, 2, 2}, 18, 52] = 1000891105078811899376631021588858359161775264661\ 1139716551139461581089445052619014553669348433960223823754816679535149621760 ngd[{2, 2, 2, 2}, 18, 53] = 4881381291169740686104629115887703912486136235580\ 41702681597180315784678748782827047886221013047087098161528128130263005081395\ 2 ngd[{2, 2, 2, 2}, 18, 54] = 2312514530436791588601636970149770187272272342066\ 87595281384893062948425463995671235094938248966321752367362108126019626166016\ 7168 ngd[{2, 2, 2, 2}, 18, 55] = 1065740267965511078710200443433050472658318956247\ 60632224336352073131863972845040433510759530179112550364937952917750126128094\ 1371904 ngd[{2, 2, 2, 2}, 18, 56] = 4784479696661905792951970392239549368611406091365\ 75579800721970185363106444162737944033193476600440707083440719022684741463279\ 195825408 ngd[{2, 2, 2, 2}, 19, 1] = 0 ngd[{2, 2, 2, 2}, 19, 2] = 0 ngd[{2, 2, 2, 2}, 19, 3] = 0 ngd[{2, 2, 2, 2}, 19, 4] = 0 ngd[{2, 2, 2, 2}, 19, 5] = 0 ngd[{2, 2, 2, 2}, 19, 6] = 0 ngd[{2, 2, 2, 2}, 19, 7] = 0 ngd[{2, 2, 2, 2}, 19, 8] = 0 ngd[{2, 2, 2, 2}, 19, 9] = 0 ngd[{2, 2, 2, 2}, 19, 10] = 0 ngd[{2, 2, 2, 2}, 19, 11] = 0 ngd[{2, 2, 2, 2}, 19, 12] = 0 ngd[{2, 2, 2, 2}, 19, 13] = 0 ngd[{2, 2, 2, 2}, 19, 14] = 0 ngd[{2, 2, 2, 2}, 19, 15] = 0 ngd[{2, 2, 2, 2}, 19, 16] = 0 ngd[{2, 2, 2, 2}, 19, 17] = 0 ngd[{2, 2, 2, 2}, 19, 18] = 0 ngd[{2, 2, 2, 2}, 19, 19] = -11655168 ngd[{2, 2, 2, 2}, 19, 20] = -161193518848 ngd[{2, 2, 2, 2}, 19, 21] = 499294783986810880 ngd[{2, 2, 2, 2}, 19, 22] = -13708074037778496761088 ngd[{2, 2, 2, 2}, 19, 23] = 2366331445549733542084334592 ngd[{2, 2, 2, 2}, 19, 24] = 1186932070870315401690044854894208 ngd[{2, 2, 2, 2}, 19, 25] = 95103365993638229064129700954211779584 ngd[{2, 2, 2, 2}, 19, 26] = 2662530400564053595252713711599190339618048 ngd[{2, 2, 2, 2}, 19, 27] = 37513355718810294307111319423498986998042951680 ngd[{2, 2, 2, 2}, 19, 28] = 322153150421183115472762995771830911473338611610624 ngd[{2, 2, 2, 2}, 19, 29] = 1891445224050474172339169371720438702819393075623731200 ngd[{2, 2, 2, 2}, 19, 30] = 8189380369125739316086922322611433235293373188810695700992 ngd[{2, 2, 2, 2}, 19, 31] = 27578939439046785394297890788840751805620522547260663768568832 ngd[{2, 2, 2, 2}, 19, 32] = 75138313377522742477477653736301194940572897611201437738674711936 ngd[{2, 2, 2, 2}, 19, 33] = 170678366976946274065851406111621812050939773037199618744069818829824 ngd[{2, 2, 2, 2}, 19, 34] = 330990648133133714520491058871269306313259852152424793211779760740389632 ngd[{2, 2, 2, 2}, 19, 35] = 55853163801365141906736032552793687558401269832120363643565778799134559334\ 4 ngd[{2, 2, 2, 2}, 19, 36] = 8330142413065563656704787677989371097359203466105\ 15583483335977343574372193024 ngd[{2, 2, 2, 2}, 19, 37] = 1112413179864831059711477166457395801542122516476\ 735931408947298044739704288862208 ngd[{2, 2, 2, 2}, 19, 38] = 1344735294263697051146093159236584717411723092695\ 717686804513553101034131056404060160 ngd[{2, 2, 2, 2}, 19, 39] = 1485279988990906737146209889290565543521988111612\ 990151789602079795358354207613413555200 ngd[{2, 2, 2, 2}, 19, 40] = 1510978056503789966575935237004496298732669662027\ 066113708513700736036450381787963668719360 ngd[{2, 2, 2, 2}, 19, 41] = 1425614135559246944875543912071061032064703174455\ 040170466497930483803849844754879021094259712 ngd[{2, 2, 2, 2}, 19, 42] = 1255089611076403649252844689215400326930268528984\ 592622608463565948016764873068434349210943109632 ngd[{2, 2, 2, 2}, 19, 43] = 1036558879985716862703029013774948227645317493020\ 065749337847578422890165611275759347495071924282368 ngd[{2, 2, 2, 2}, 19, 44] = 8068828542472347304368241456741356373845808168812\ 44511899709321988288251512611840714515342375364657152 ngd[{2, 2, 2, 2}, 19, 45] = 5944958167986690990050396291375625677310518946849\ 38619852073916404324201872216088968859490817540644365312 ngd[{2, 2, 2, 2}, 19, 46] = 4161407182797337971006100342504452968096555877512\ 04114777511741185126975698964447172431870144653182830925056 ngd[{2, 2, 2, 2}, 19, 47] = 2776833307402390087752804536380179147361642267189\ 40036860518211817184286949634642016633757990167937943615483904 ngd[{2, 2, 2, 2}, 19, 48] = 1771735466456511668874075675918075581293027628466\ 15935266985639618788275018416814092708517658746787414429379938496 ngd[{2, 2, 2, 2}, 19, 49] = 1083885866975211714781894327278920912932230158049\ 03930845234495589934041651282474448260446631958977975018127277923328 ngd[{2, 2, 2, 2}, 19, 50] = 6373683441446506101035744516546824350881138382183\ 6418316857295695540237546140774766879671118535212439728597470362413056 ngd[{2, 2, 2, 2}, 19, 51] = 3610855538490563496140775865112960968590390210118\ 9395832582980541936615484220440148281173231451491310816414474747445550080 ngd[{2, 2, 2, 2}, 19, 52] = 1974912629763800648167395824419345803187893999990\ 9785416570748333330392575767926590800262286103190408001178075897399116919808 ngd[{2, 2, 2, 2}, 19, 53] = 1044801877337329344374648356915053602113349232985\ 40986215356933638395007615814777220668707874401297059372498669220565376543272\ 96 ngd[{2, 2, 2, 2}, 19, 54] = 5355886637245892580450468858763465582400344786420\ 52330951413972000082040493949551818661775329320246537334382137556222967284182\ 4512 ngd[{2, 2, 2, 2}, 19, 55] = 2664669732200605194465929549595108718089702450403\ 28531071787175057230467072507673271428766611172408020476193128738972138185607\ 0198272 ngd[{2, 2, 2, 2}, 19, 56] = 1288604121037457366692028001767988147090889765010\ 57056493548374525657177085278561317199971521507825439954113594922984718425419\ 7843270016 ngd[{2, 2, 2, 2}, 20, 1] = 0 ngd[{2, 2, 2, 2}, 20, 2] = 0 ngd[{2, 2, 2, 2}, 20, 3] = 0 ngd[{2, 2, 2, 2}, 20, 4] = 0 ngd[{2, 2, 2, 2}, 20, 5] = 0 ngd[{2, 2, 2, 2}, 20, 6] = 0 ngd[{2, 2, 2, 2}, 20, 7] = 0 ngd[{2, 2, 2, 2}, 20, 8] = 0 ngd[{2, 2, 2, 2}, 20, 9] = 0 ngd[{2, 2, 2, 2}, 20, 10] = 0 ngd[{2, 2, 2, 2}, 20, 11] = 0 ngd[{2, 2, 2, 2}, 20, 12] = 0 ngd[{2, 2, 2, 2}, 20, 13] = 0 ngd[{2, 2, 2, 2}, 20, 14] = 0 ngd[{2, 2, 2, 2}, 20, 15] = 0 ngd[{2, 2, 2, 2}, 20, 16] = 0 ngd[{2, 2, 2, 2}, 20, 17] = 0 ngd[{2, 2, 2, 2}, 20, 18] = 0 ngd[{2, 2, 2, 2}, 20, 19] = 0 ngd[{2, 2, 2, 2}, 20, 20] = 560553472 ngd[{2, 2, 2, 2}, 20, 21] = -443961061294592 ngd[{2, 2, 2, 2}, 20, 22] = 79885154878368887296 ngd[{2, 2, 2, 2}, 20, 23] = -1017981774575060917784576 ngd[{2, 2, 2, 2}, 20, 24] = 1266965775955486287212408184320 ngd[{2, 2, 2, 2}, 20, 25] = 391047336315619263393413691270961664 ngd[{2, 2, 2, 2}, 20, 26] = 26076467025816568858232403170381767557120 ngd[{2, 2, 2, 2}, 20, 27] = 688973978873443194298115879573014070544296448 ngd[{2, 2, 2, 2}, 20, 28] = 9681310613677735939470688549564335432220588641280 ngd[{2, 2, 2, 2}, 20, 29] = 85265723344901076634989296744382789507509772522703360 ngd[{2, 2, 2, 2}, 20, 30] = 521479343473524633387037490551684579783682916618153186304 ngd[{2, 2, 2, 2}, 20, 31] = 2373728003577986958106285174152511937213026986958579094931968 ngd[{2, 2, 2, 2}, 20, 32] = 8451473530733112725017163698438148155880376519988513292404165120 ngd[{2, 2, 2, 2}, 20, 33] = 24427437931545519032822405236486379286393470214902403816653830732288 ngd[{2, 2, 2, 2}, 20, 34] = 58984207738544023387894655621643080202048713216559836946194255595830272 ngd[{2, 2, 2, 2}, 20, 35] = 12172814081279175025610454438781459702976215989201643501050178766400651212\ 8 ngd[{2, 2, 2, 2}, 20, 36] = 2186981377846474110351865053225619040637719620859\ 56763127936043380463856025088 ngd[{2, 2, 2, 2}, 20, 37] = 3472855453682651589624007859468165558245197602636\ 42408755574936352366476924204544 ngd[{2, 2, 2, 2}, 20, 38] = 4936507205470096987165905147904199681270535519126\ 11763085287425879234183654289240576 ngd[{2, 2, 2, 2}, 20, 39] = 6348903633458604140751352004518631361017945450003\ 39298676434065236302869690010880205312 ngd[{2, 2, 2, 2}, 20, 40] = 7455924745249391228731163337392194761534786007416\ 32969971634002562761956219149472210756352 ngd[{2, 2, 2, 2}, 20, 41] = 8058595784195004856096318712779808415274332834429\ 50860005642725751474113821539224029059488768 ngd[{2, 2, 2, 2}, 20, 42] = 8071535559387399475493086945455301316910171296402\ 72400148367971174739861621479180428175226490368 ngd[{2, 2, 2, 2}, 20, 43] = 7537121013046711974120817950715417593831569458320\ 37236930818215300772432954381238300363251437651456 ngd[{2, 2, 2, 2}, 20, 44] = 6596467850645669680904400889331981487874156946529\ 94974306888350154612712352090688961635121573772341760 ngd[{2, 2, 2, 2}, 20, 45] = 5436472038270006871744420965176213850069042018258\ 40797881674107143988493670238684133982409630606248313856 ngd[{2, 2, 2, 2}, 20, 46] = 4236857437911346150375759298375525897932542677850\ 48534775049463027274484373589017008294820868216502410228736 ngd[{2, 2, 2, 2}, 20, 47] = 3134171708551175898126151823315476095899904203112\ 61377343787149774887323000633043092595039507491799796183490560 ngd[{2, 2, 2, 2}, 20, 48] = 2208113927762956682536711812807940003308582875236\ 09104609536536147900382364015381828836529093399681055782449047808 ngd[{2, 2, 2, 2}, 20, 49] = 1486159605955390045705483586378195519522113366751\ 07663346884803648113989935534070608548252173788882227783588601272832 ngd[{2, 2, 2, 2}, 20, 50] = 9582006129119469680243250323689508958363680701670\ 7765258987896701667077156972650821525061786836231400331067530389112320 ngd[{2, 2, 2, 2}, 20, 51] = 5933182284413552985500840816324831284723166979637\ 5906088271672259800379663565751430191833595617139342180636284545484574208 ngd[{2, 2, 2, 2}, 20, 52] = 3536363587358578401692775357289578771727729183991\ 1300692123616558128873494686509291303369134840276329558631870080553029652480 ngd[{2, 2, 2, 2}, 20, 53] = 2033187086963522295432948880473825554271378858001\ 63451063976104409175963171793890271408817093844939105586052924360720840616171\ 52 ngd[{2, 2, 2, 2}, 20, 54] = 1129762681598121169000383817041383217325542082291\ 59877649686636988054843126268707365555502334990939565419191923601600467293208\ 91392 ngd[{2, 2, 2, 2}, 20, 55] = 6077961447394869873445143291507832142079769544162\ 52774610161712766439493066160921798492604562729301893710807851181522384053115\ 5144704 ngd[{2, 2, 2, 2}, 20, 56] = 3171035329061028383508750802290136341271210627953\ 76532161030088062210178656205774168919848677501954439858073736853632045183130\ 7105557248 ngd[{2, 2, 2, 2}, 21, 1] = 0 ngd[{2, 2, 2, 2}, 21, 2] = 0 ngd[{2, 2, 2, 2}, 21, 3] = 0 ngd[{2, 2, 2, 2}, 21, 4] = 0 ngd[{2, 2, 2, 2}, 21, 5] = 0 ngd[{2, 2, 2, 2}, 21, 6] = 0 ngd[{2, 2, 2, 2}, 21, 7] = 0 ngd[{2, 2, 2, 2}, 21, 8] = 0 ngd[{2, 2, 2, 2}, 21, 9] = 0 ngd[{2, 2, 2, 2}, 21, 10] = 0 ngd[{2, 2, 2, 2}, 21, 11] = 0 ngd[{2, 2, 2, 2}, 21, 12] = 0 ngd[{2, 2, 2, 2}, 21, 13] = 0 ngd[{2, 2, 2, 2}, 21, 14] = 0 ngd[{2, 2, 2, 2}, 21, 15] = 0 ngd[{2, 2, 2, 2}, 21, 16] = 0 ngd[{2, 2, 2, 2}, 21, 17] = 0 ngd[{2, 2, 2, 2}, 21, 18] = 0 ngd[{2, 2, 2, 2}, 21, 19] = 0 ngd[{2, 2, 2, 2}, 21, 20] = 472064 ngd[{2, 2, 2, 2}, 21, 21] = -28945917952 ngd[{2, 2, 2, 2}, 21, 22] = -214988971279110144 ngd[{2, 2, 2, 2}, 21, 23] = 10729506544544700966912 ngd[{2, 2, 2, 2}, 21, 24] = 196562142529269276534155200 ngd[{2, 2, 2, 2}, 21, 25] = 677628474524177964480080593562624 ngd[{2, 2, 2, 2}, 21, 26] = 141106885458257918634440841332628962816 ngd[{2, 2, 2, 2}, 21, 27] = 8065209666970686593494120997777175942187008 ngd[{2, 2, 2, 2}, 21, 28] = 201943872787648210665876026834774266417906118528 ngd[{2, 2, 2, 2}, 21, 29] = 2821365128882410105241997595778098514048977896017920 ngd[{2, 2, 2, 2}, 21, 30] = 25351362089520858825352441173727748789684869030443599872 ngd[{2, 2, 2, 2}, 21, 31] = 160586354567293908133554193427142565514014314720524197372928 ngd[{2, 2, 2, 2}, 21, 32] = 764134936073490103215480661648541483935590510792728728561586752 ngd[{2, 2, 2, 2}, 21, 33] = 2860768641873134746779324049316782251987403453771914875909981856768 ngd[{2, 2, 2, 2}, 21, 34] = 8726911097905256774037027096565530680927835268305267783744120532631040 ngd[{2, 2, 2, 2}, 21, 35] = 22293075526149919046431863353742830533228514341652629809724266658259376128 ngd[{2, 2, 2, 2}, 21, 36] = 48740486664497125235068382195544646949576608714633782582363178193696370564\ 352 ngd[{2, 2, 2, 2}, 21, 37] = 9284110935119387861563737962529476354870958660238\ 6019845570742193940594648950784 ngd[{2, 2, 2, 2}, 21, 38] = 1563549036884948767464782818431152833637996366161\ 74757562060863286429329541881774080 ngd[{2, 2, 2, 2}, 21, 39] = 2357031056067385343126213591951229223317899606260\ 43716022157002464654840874693118920704 ngd[{2, 2, 2, 2}, 21, 40] = 3214057579655973199255867057692859163808979171725\ 58445153279294939703880103867291211861728 ngd[{2, 2, 2, 2}, 21, 41] = 4000185913130421712233859829281413092879421832528\ 95629657687644889119901813690966808173852672 ngd[{2, 2, 2, 2}, 21, 42] = 4579544679830698047270026317956194765667877478743\ 47191201946791457503231085516524782238656578560 ngd[{2, 2, 2, 2}, 21, 43] = 4855401247843248554134482237113710996701281794703\ 73494183365946831097183560740153984733074384924672 ngd[{2, 2, 2, 2}, 21, 44] = 4795950638726526820053796449060325197770427423467\ 58092560629605070622529447946414852070574633638606720 ngd[{2, 2, 2, 2}, 21, 45] = 4436658798515766075066055340416904775132426591514\ 89736261755419917747325447399742745848646585626476063744 ngd[{2, 2, 2, 2}, 21, 46] = 3861886265835895897969650641175996601089114751010\ 53917873172190330298611977282888091999376126005802746107904 ngd[{2, 2, 2, 2}, 21, 47] = 3176277320037925317305980668369023677665894892601\ 67035623912692723253896859995009337518601835232709087362571264 ngd[{2, 2, 2, 2}, 21, 48] = 2477649835112331347091615058864556422391538567004\ 15864200382132945807497620671316446714903154018761058399457101568 ngd[{2, 2, 2, 2}, 21, 49] = 1839205317654959216817070949604468506251942032759\ 77546132898706175904675686132301687852904996418910000391764951550976 ngd[{2, 2, 2, 2}, 21, 50] = 1303213754155204517116353682028049943336288772023\ 54535328745941442764017559949996110970368404415009473135364805958518272 ngd[{2, 2, 2, 2}, 21, 51] = 8838946358165553677127564247634338487589920413896\ 2119111248434235679091310589429701198034316024872126838531815319615720448 ngd[{2, 2, 2, 2}, 21, 52] = 5752832980829127236294498377699264068201818166755\ 9881610116698692435010707247227747566646937595921167634360013148184759286016 ngd[{2, 2, 2, 2}, 21, 53] = 3601321620655710877151610922452690793065164584512\ 91031802300317253275394843939933951506585176577198279514986044504058512590438\ 40 ngd[{2, 2, 2, 2}, 21, 54] = 2172999441516850664119818961224892913666590187684\ 77227679058501299063131894318060560802400841326175555330054838582088999986102\ 13888 ngd[{2, 2, 2, 2}, 21, 55] = 1266248915045854076987471272661066987955982671467\ 83107098474697269002891610252551856317953892216989565932050530119850143956173\ 15982336 ngd[{2, 2, 2, 2}, 21, 56] = 7138682095549527561390919300646591684502844405394\ 18467018524029835791838835867363574547210905375963453518731535145113881869876\ 6480429792 ngd[{2, 2, 2, 2}, 22, 1] = 0 ngd[{2, 2, 2, 2}, 22, 2] = 0 ngd[{2, 2, 2, 2}, 22, 3] = 0 ngd[{2, 2, 2, 2}, 22, 4] = 0 ngd[{2, 2, 2, 2}, 22, 5] = 0 ngd[{2, 2, 2, 2}, 22, 6] = 0 ngd[{2, 2, 2, 2}, 22, 7] = 0 ngd[{2, 2, 2, 2}, 22, 8] = 0 ngd[{2, 2, 2, 2}, 22, 9] = 0 ngd[{2, 2, 2, 2}, 22, 10] = 0 ngd[{2, 2, 2, 2}, 22, 11] = 0 ngd[{2, 2, 2, 2}, 22, 12] = 0 ngd[{2, 2, 2, 2}, 22, 13] = 0 ngd[{2, 2, 2, 2}, 22, 14] = 0 ngd[{2, 2, 2, 2}, 22, 15] = 0 ngd[{2, 2, 2, 2}, 22, 16] = 0 ngd[{2, 2, 2, 2}, 22, 17] = 0 ngd[{2, 2, 2, 2}, 22, 18] = 0 ngd[{2, 2, 2, 2}, 22, 19] = 0 ngd[{2, 2, 2, 2}, 22, 20] = 0 ngd[{2, 2, 2, 2}, 22, 21] = -210788352 ngd[{2, 2, 2, 2}, 22, 22] = 116205033869824 ngd[{2, 2, 2, 2}, 22, 23] = -56372212243054021120 ngd[{2, 2, 2, 2}, 22, 24] = 1315304874406569597274880 ngd[{2, 2, 2, 2}, 22, 25] = 354230569102096842560466512384 ngd[{2, 2, 2, 2}, 22, 26] = 366950121397686641958147512906886656 ngd[{2, 2, 2, 2}, 22, 27] = 55802299044294816560804783587261749578240 ngd[{2, 2, 2, 2}, 22, 28] = 2794490462443581712122996838338948064032924160 ngd[{2, 2, 2, 2}, 22, 29] = 66551010750893735392901133064989985705363970832384 ngd[{2, 2, 2, 2}, 22, 30] = 922325280351821672051058815744981674599490434658557440 ngd[{2, 2, 2, 2}, 22, 31] = 8419107124358263647385417911922589609586418697637466212864 ngd[{2, 2, 2, 2}, 22, 32] = 54965417688807561232024396962777534553374018544000913901056128 ngd[{2, 2, 2, 2}, 22, 33] = 272053486979529030410644578929458496310632607383728844020731718656 ngd[{2, 2, 2, 2}, 22, 34] = 1065791482313115881763118488375465993150749457282159143055763537141760 ngd[{2, 2, 2, 2}, 22, 35] = 3415642283286392806721138608730673753026448352960721265762361948200165376 ngd[{2, 2, 2, 2}, 22, 36] = 91903532236960557159576413337251905287450791372495898773201341468124362967\ 04 ngd[{2, 2, 2, 2}, 22, 37] = 2119951232893274376262338464748463998971405693398\ 2311743362752370857640561904128 ngd[{2, 2, 2, 2}, 22, 38] = 4264701426108764354482018888516146809591239289897\ 6915832640349573636277707388568064 ngd[{2, 2, 2, 2}, 22, 39] = 7589379001561347440879396769175455805347488515130\ 8602117194671145911643834737958325760 ngd[{2, 2, 2, 2}, 22, 40] = 1209182573263050370143339728606543873189219041632\ 90725832792182066417493234986137056449024 ngd[{2, 2, 2, 2}, 22, 41] = 1742561767240834378671164936216021615055565656801\ 93879926770796808810315772333637113508228608 ngd[{2, 2, 2, 2}, 22, 42] = 2291489726229134719177393488380295655511209083116\ 70286761296573361829416886903487440311995942912 ngd[{2, 2, 2, 2}, 22, 43] = 2770757502636567871872367531496413191531843727616\ 17926545119758733744973306121016576587003337700864 ngd[{2, 2, 2, 2}, 22, 44] = 3101206099369534559712019095263792264916078660730\ 47262473498398809791990680668194323262726390372955136 ngd[{2, 2, 2, 2}, 22, 45] = 3231971528170629998675872998065775254074240992045\ 73682459685921912038300444774808608967233073926391489536 ngd[{2, 2, 2, 2}, 22, 46] = 3152610415149680970812245087176531047691248870739\ 66352218594512637999535957496227942124219539175231601316864 ngd[{2, 2, 2, 2}, 22, 47] = 2891693461630637487387414133075509808914601811046\ 70707725852399986609266285576569595965721752329796976102309888 ngd[{2, 2, 2, 2}, 22, 48] = 2504464525089202605633349631855563507290695452507\ 68040189651253823655351540125807333212689227506915056135198952320 ngd[{2, 2, 2, 2}, 22, 49] = 2055784163318419309369986150765674417661264218518\ 89368519222715053429742307516567764851298422062803299532190193202176 ngd[{2, 2, 2, 2}, 22, 50] = 1604729083810472575621860080972979951933776681368\ 54835447811595716246771666295129063720877475526479611882136163605071360 ngd[{2, 2, 2, 2}, 22, 51] = 1194845464807865951239455529883810043086427181288\ 23706526995544441784467204477351249307615857179340049649763014571814288384 ngd[{2, 2, 2, 2}, 22, 52] = 8509647765337422028627177914416230547117339156164\ 1766456245249474211549390903616183122164933090123069812035458230304165249536 ngd[{2, 2, 2, 2}, 22, 53] = 5811651330816483261367562106059256810844457636163\ 68157263931150279408808639261976963031093617635919482166847657937855616117314\ 56 ngd[{2, 2, 2, 2}, 22, 54] = 3814876910541506264787985639500429147520830308883\ 23305743619589352332625280537198760637203500703667950435052236652189389937389\ 32224 ngd[{2, 2, 2, 2}, 22, 55] = 2411995799611420486088215846269754627840108231052\ 60103764336425220051862474703993625634576234190532787983663218739599803236294\ 59210752 ngd[{2, 2, 2, 2}, 22, 56] = 1471756067854720010637871182999425406721195543409\ 44680277059771571139329739360299490179162452054530765374134351309394222596027\ 39996327424 ngd[{2, 2, 2, 2}, 23, 1] = 0 ngd[{2, 2, 2, 2}, 23, 2] = 0 ngd[{2, 2, 2, 2}, 23, 3] = 0 ngd[{2, 2, 2, 2}, 23, 4] = 0 ngd[{2, 2, 2, 2}, 23, 5] = 0 ngd[{2, 2, 2, 2}, 23, 6] = 0 ngd[{2, 2, 2, 2}, 23, 7] = 0 ngd[{2, 2, 2, 2}, 23, 8] = 0 ngd[{2, 2, 2, 2}, 23, 9] = 0 ngd[{2, 2, 2, 2}, 23, 10] = 0 ngd[{2, 2, 2, 2}, 23, 11] = 0 ngd[{2, 2, 2, 2}, 23, 12] = 0 ngd[{2, 2, 2, 2}, 23, 13] = 0 ngd[{2, 2, 2, 2}, 23, 14] = 0 ngd[{2, 2, 2, 2}, 23, 15] = 0 ngd[{2, 2, 2, 2}, 23, 16] = 0 ngd[{2, 2, 2, 2}, 23, 17] = 0 ngd[{2, 2, 2, 2}, 23, 18] = 0 ngd[{2, 2, 2, 2}, 23, 19] = 0 ngd[{2, 2, 2, 2}, 23, 20] = 0 ngd[{2, 2, 2, 2}, 23, 21] = 0 ngd[{2, 2, 2, 2}, 23, 22] = 43799043072 ngd[{2, 2, 2, 2}, 23, 23] = 132962787238085632 ngd[{2, 2, 2, 2}, 23, 24] = -11079169487047390160384 ngd[{2, 2, 2, 2}, 23, 25] = 185296403885701903222887424 ngd[{2, 2, 2, 2}, 23, 26] = 368680589569290658304307403655936 ngd[{2, 2, 2, 2}, 23, 27] = 205245047571390550585569762022402361344 ngd[{2, 2, 2, 2}, 23, 28] = 24154917300087812977965959670820901823504384 ngd[{2, 2, 2, 2}, 23, 29] = 1077961092873525632800447699201395673508455579648 ngd[{2, 2, 2, 2}, 23, 30] = 24496054324517464371047766298359890340565597636245760 ngd[{2, 2, 2, 2}, 23, 31] = 336197016191912829626768044293593820097230684525969977344 ngd[{2, 2, 2, 2}, 23, 32] = 3106561593344724344039052820316821300678182032616174414715392 ngd[{2, 2, 2, 2}, 23, 33] = 20815863751426408880773010991843376248056979566794818900879432704 ngd[{2, 2, 2, 2}, 23, 34] = 106699785990909767765055316507497919430372403624177799954330342189568 ngd[{2, 2, 2, 2}, 23, 35] = 435521318103252667311347044131541322783485139114525934190126307477369856 ngd[{2, 2, 2, 2}, 23, 36] = 14602220719908765328871817961420038843409749170043780273881741010718219665\ 92 ngd[{2, 2, 2, 2}, 23, 37] = 4121910871971881266531761349368866720155617965335\ 140873673437139818119251422208 ngd[{2, 2, 2, 2}, 23, 38] = 9993647228296159392092168298607242449889983510729\ 445024775537599403847398646335232 ngd[{2, 2, 2, 2}, 23, 39] = 2115658436538513030781426724368839792095133808259\ 0557134780231633370864497787796501504 ngd[{2, 2, 2, 2}, 23, 40] = 3964986043303166674612844489631819038160745614633\ 9419948635954267844929615460940745271552 ngd[{2, 2, 2, 2}, 23, 41] = 6655374451689488187371812614457604302943842591440\ 5443604522628158552371436097948073915113472 ngd[{2, 2, 2, 2}, 23, 42] = 1010570249805024903228409392504143844084272180861\ 86189984406779460559467676197105432708871973888 ngd[{2, 2, 2, 2}, 23, 43] = 1400105054596958217583042023397013130519009835145\ 98167023289104704291704629718347333853039325574144 ngd[{2, 2, 2, 2}, 23, 44] = 1783230234112664452981158862854842538243041277790\ 06919658672340514379327677096394704061552402420973056 ngd[{2, 2, 2, 2}, 23, 45] = 2101640550582543945417470391265857153076503990593\ 31710777966217693962317030280752919772099273499159914496 ngd[{2, 2, 2, 2}, 23, 46] = 2305312724432081258484796250227465773770222115840\ 00211758339123575620523914134882382315291380977097457360640 ngd[{2, 2, 2, 2}, 23, 47] = 2365673568506688891713767447969578720536903835592\ 87742940517445768054826782054996837937088014236633250850511872 ngd[{2, 2, 2, 2}, 23, 48] = 2281528109726663906065746156162145733956994096320\ 48364077091714217236008924343215767923579840881805759393340011584 ngd[{2, 2, 2, 2}, 23, 49] = 2076486517581764170075206054219699569663206434037\ 28797320332679663922132742801811275442022823146105283745677244021760 ngd[{2, 2, 2, 2}, 23, 50] = 1790082654902140224293376688863435033050161156429\ 24452514880147250308887043792544428245682823512559512619636484113810432 ngd[{2, 2, 2, 2}, 23, 51] = 1466600408565454780245671574019119881724451274116\ 09982107705085926189030959982552929111891237598955971884341538183017278464 ngd[{2, 2, 2, 2}, 23, 52] = 1145419828333667039563990591898761502601884812095\ 96452004379331056506244949577390063318226445230129903361786495994350115937280 ngd[{2, 2, 2, 2}, 23, 53] = 8551319393986934707844802763922746674350508044200\ 13671038139106133682785277453300680859317595349892643222159577174711840859299\ 84 ngd[{2, 2, 2, 2}, 23, 54] = 6118069706999479678734333954600554119104575001378\ 28301323015612982841653779673293505875774212752434273583186792685639493331680\ 77824 ngd[{2, 2, 2, 2}, 23, 55] = 4204495022279557049136271185838381775387529348001\ 89077847525984978710517843453006076037622247819196662453988954246461371646736\ 13240320 ngd[{2, 2, 2, 2}, 23, 56] = 2781344991076095496355923350251360211860395553233\ 57333139824852730579705754207684882573708392027174081948050058234055572168308\ 59655759872 ngd[{2, 2, 2, 2}, 24, 1] = 0 ngd[{2, 2, 2, 2}, 24, 2] = 0 ngd[{2, 2, 2, 2}, 24, 3] = 0 ngd[{2, 2, 2, 2}, 24, 4] = 0 ngd[{2, 2, 2, 2}, 24, 5] = 0 ngd[{2, 2, 2, 2}, 24, 6] = 0 ngd[{2, 2, 2, 2}, 24, 7] = 0 ngd[{2, 2, 2, 2}, 24, 8] = 0 ngd[{2, 2, 2, 2}, 24, 9] = 0 ngd[{2, 2, 2, 2}, 24, 10] = 0 ngd[{2, 2, 2, 2}, 24, 11] = 0 ngd[{2, 2, 2, 2}, 24, 12] = 0 ngd[{2, 2, 2, 2}, 24, 13] = 0 ngd[{2, 2, 2, 2}, 24, 14] = 0 ngd[{2, 2, 2, 2}, 24, 15] = 0 ngd[{2, 2, 2, 2}, 24, 16] = 0 ngd[{2, 2, 2, 2}, 24, 17] = 0 ngd[{2, 2, 2, 2}, 24, 18] = 0 ngd[{2, 2, 2, 2}, 24, 19] = 0 ngd[{2, 2, 2, 2}, 24, 20] = 0 ngd[{2, 2, 2, 2}, 24, 21] = 0 ngd[{2, 2, 2, 2}, 24, 22] = 38555136 ngd[{2, 2, 2, 2}, 24, 23] = -43120409116672 ngd[{2, 2, 2, 2}, 24, 24] = 55249153028081973504 ngd[{2, 2, 2, 2}, 24, 25] = -1855569995259390015104512 ngd[{2, 2, 2, 2}, 24, 26] = 116327914043812518086181090816 ngd[{2, 2, 2, 2}, 24, 27] = 343140332359671182686402335213153280 ngd[{2, 2, 2, 2}, 24, 28] = 120144400104089826934996143188318017772032 ngd[{2, 2, 2, 2}, 24, 29] = 11420191512095716210874385796105353449467764224 ngd[{2, 2, 2, 2}, 24, 30] = 460331815796224346253693418090079025821119667125248 ngd[{2, 2, 2, 2}, 24, 31] = 10010870247436131349156493970169643539861815956892415488 ngd[{2, 2, 2, 2}, 24, 32] = 135896266803313794042770329828331413290698426429986267400576 ngd[{2, 2, 2, 2}, 24, 33] = 1267442916865747056313482960082146796098130107693448819000438784 ngd[{2, 2, 2, 2}, 24, 34] = 8684920746003340145410426269736752073258950568735755279720599243264 ngd[{2, 2, 2, 2}, 24, 35] = 45927299004534236068418894240700651198335932828209844643447446983104512 ngd[{2, 2, 2, 2}, 24, 36] = 19456722300083872281442759902350462459687465777396059444894455111444120883\ 2 ngd[{2, 2, 2, 2}, 24, 37] = 6799113991318343346404472855378653849565234382466\ 88631829916713865445117818880 ngd[{2, 2, 2, 2}, 24, 38] = 2006208533232976298027205740618237557117809028739\ 491471987562914210078156023724544 ngd[{2, 2, 2, 2}, 24, 39] = 5094800601028921739561829957868736453229893300749\ 918229578843261647129771631583991296 ngd[{2, 2, 2, 2}, 24, 40] = 1131290407606557499481042853145578796712976000791\ 1146957670139632870808758498900422753280 ngd[{2, 2, 2, 2}, 24, 41] = 2225806522760451529308446902169821931925429300982\ 2083587202748569578376266632482399512382464 ngd[{2, 2, 2, 2}, 24, 42] = 3924387522343142284698847243283324209155760077807\ 4159047734603799774412345788539877734074616320 ngd[{2, 2, 2, 2}, 24, 43] = 6260925787594221377174842540716374988790088529937\ 4396898154363365385070141250572774512801087082496 ngd[{2, 2, 2, 2}, 24, 44] = 9114541833588760460249959900908189559137636488166\ 0522345026085627484136147551903277875081697127332864 ngd[{2, 2, 2, 2}, 24, 45] = 1219676663439927805945305332980047532177612898847\ 00868754958406119006707473470101766954842202804688769536 ngd[{2, 2, 2, 2}, 24, 46] = 1509965162615097277876902760053745587536719805434\ 34293455114167807408261629415012187975903719182097332800000 ngd[{2, 2, 2, 2}, 24, 47] = 1739309949534920083058139208606630233966495216299\ 34855676264477225032751193802638753705494953243721218988737024 ngd[{2, 2, 2, 2}, 24, 48] = 1873599540391995734862917364430765945726964172093\ 92472210242588689515571815334257475164627499916725082943544936960 ngd[{2, 2, 2, 2}, 24, 49] = 1895984643541632253617802716528227610553768668805\ 98361270485477665423455549614070867489983428306865132339185452442112 ngd[{2, 2, 2, 2}, 24, 50] = 1809752415493890165315691575913028540294236176193\ 92503841378143173337448430985649827210756363361176627400876127947685376 ngd[{2, 2, 2, 2}, 24, 51] = 1635402160165748398669483969004280746290281766368\ 42037683930130510701987731535038503107060263440759769072581542039098404352 ngd[{2, 2, 2, 2}, 24, 52] = 1403767131398048922369054092102232157803576698209\ 25459448385342667267192483658655643757678752589378426557206337927001084420608 ngd[{2, 2, 2, 2}, 24, 53] = 1148002856322991554918785395627822428485463278285\ 56774734244389256117645960943649953501438824203944729617377577451950451325937\ 664 ngd[{2, 2, 2, 2}, 24, 54] = 8969429167094876577430021072839291538921438689004\ 72468325173867276716840938822132317410294853275263495357055855478457827202176\ 15872 ngd[{2, 2, 2, 2}, 24, 55] = 6712046315500024286975198510440403762194036454969\ 75619019728433053533844422463855998365289039420188554912137872493853091454011\ 08809216 ngd[{2, 2, 2, 2}, 24, 56] = 4821888794284681237253613657603670791958101388684\ 89949112212807025890603450146474876551753364741068993879221142889417964002073\ 83017553408 ngd[{2, 2, 2, 2}, 25, 1] = 0 ngd[{2, 2, 2, 2}, 25, 2] = 0 ngd[{2, 2, 2, 2}, 25, 3] = 0 ngd[{2, 2, 2, 2}, 25, 4] = 0 ngd[{2, 2, 2, 2}, 25, 5] = 0 ngd[{2, 2, 2, 2}, 25, 6] = 0 ngd[{2, 2, 2, 2}, 25, 7] = 0 ngd[{2, 2, 2, 2}, 25, 8] = 0 ngd[{2, 2, 2, 2}, 25, 9] = 0 ngd[{2, 2, 2, 2}, 25, 10] = 0 ngd[{2, 2, 2, 2}, 25, 11] = 0 ngd[{2, 2, 2, 2}, 25, 12] = 0 ngd[{2, 2, 2, 2}, 25, 13] = 0 ngd[{2, 2, 2, 2}, 25, 14] = 0 ngd[{2, 2, 2, 2}, 25, 15] = 0 ngd[{2, 2, 2, 2}, 25, 16] = 0 ngd[{2, 2, 2, 2}, 25, 17] = 0 ngd[{2, 2, 2, 2}, 25, 18] = 0 ngd[{2, 2, 2, 2}, 25, 19] = 0 ngd[{2, 2, 2, 2}, 25, 20] = 0 ngd[{2, 2, 2, 2}, 25, 21] = 0 ngd[{2, 2, 2, 2}, 25, 22] = 0 ngd[{2, 2, 2, 2}, 25, 23] = -44002105344 ngd[{2, 2, 2, 2}, 25, 24] = -122509788259450560 ngd[{2, 2, 2, 2}, 25, 25] = 15397783597953665620992 ngd[{2, 2, 2, 2}, 25, 26] = -279467113092123028584934400 ngd[{2, 2, 2, 2}, 25, 27] = 204957292840411173955806307732480 ngd[{2, 2, 2, 2}, 25, 28] = 306112320005401845187918740993268012992 ngd[{2, 2, 2, 2}, 25, 29] = 74185747852629465110806216132329353378643968 ngd[{2, 2, 2, 2}, 25, 30] = 5882096520302237262543677252484036726136636936192 ngd[{2, 2, 2, 2}, 25, 31] = 216516998786465684491162075978342524765359486333758464 ngd[{2, 2, 2, 2}, 25, 32] = 4518069834659569281007280668417343769023948345489577865120 ngd[{2, 2, 2, 2}, 25, 33] = 60611090113757203951452218182898317941371561425405814573114368 ngd[{2, 2, 2, 2}, 25, 34] = 569189083635501727269567036367293072543696555517384354907569556992 ngd[{2, 2, 2, 2}, 25, 35] = 3976191511167253446590166062531262106353920286283566791878204544685056 ngd[{2, 2, 2, 2}, 25, 36] = 21619233188097269272734343485007074991418166873138215517322861993632630464 ngd[{2, 2, 2, 2}, 25, 37] = 94731821277062354437839088284089695662705610614004590865499670230750788234\ 240 ngd[{2, 2, 2, 2}, 25, 38] = 3438538226299130208017366778725359177729018739697\ 19311587685506825247936895818752 ngd[{2, 2, 2, 2}, 25, 39] = 1057075282582032870058033211662946759133183733220\ 740568077313711259188997617995608064 ngd[{2, 2, 2, 2}, 25, 40] = 2802856090944913290079111452384487664325011406954\ 414120781850370242868062768650213833920 ngd[{2, 2, 2, 2}, 25, 41] = 6508037692286140713786689466315833114116907924314\ 786634604713049547295643320909044073780224 ngd[{2, 2, 2, 2}, 25, 42] = 1340348718360397201479326703437305002306842736796\ 8677553235928619256295401822576648618019144192 ngd[{2, 2, 2, 2}, 25, 43] = 2475441654947083567651621982992282409775975171978\ 6378408057717271006358904096503709934066014703616 ngd[{2, 2, 2, 2}, 25, 44] = 4138533081195021348251507069575508828337635293577\ 1130898656987404435365085552642340270565469737575296 ngd[{2, 2, 2, 2}, 25, 45] = 6314724882572624729366431118733400195424161372099\ 3923810741874215758547563719831558396515419312078702592 ngd[{2, 2, 2, 2}, 25, 46] = 8857053616880727086587464993105464770356774542032\ 9457855072844545692505336279444444692709740228191176095744 ngd[{2, 2, 2, 2}, 25, 47] = 1149195828238953719612584630934463701037121532103\ 49412099620985066162986529532570191791733958308261413358187520 ngd[{2, 2, 2, 2}, 25, 48] = 1387077475290389753917880433372939267432314773275\ 61727401093629722630773954416556675285910158595449771117438989360 ngd[{2, 2, 2, 2}, 25, 49] = 1565226398658982241213061462905173855270331864950\ 27271919548435551654907092365968258430778013259998838969392739876864 ngd[{2, 2, 2, 2}, 25, 50] = 1658690292977486927781450632028792506492631993118\ 98890895090284949232688286776913552325772196927424583821955141366066688 ngd[{2, 2, 2, 2}, 25, 51] = 1657343388222985585835018344587985077657657450416\ 31748914082746934221670827650973947050468141612430908647389798578687794176 ngd[{2, 2, 2, 2}, 25, 52] = 1567102923725944985199335401545864469271104528879\ 32317935439809666874891222387467726489124971072572251474163318477015150612992 ngd[{2, 2, 2, 2}, 25, 53] = 1406864282463766510600270592510383778359748439646\ 50697408929915917597586569601357635975940225974555124345011494381488423232786\ 432 ngd[{2, 2, 2, 2}, 25, 54] = 1202761933141407268447002684993996137605083819346\ 59618638460688478331117818153764535847345295025917418741111496620869420539379\ 158528 ngd[{2, 2, 2, 2}, 25, 55] = 9819056439535572542234962804623152297690242978205\ 37435756685219605149793834406091988003599204496741397669747118537451077699390\ 91422208 ngd[{2, 2, 2, 2}, 25, 56] = 7673828555147139573231253878344231265582166693402\ 10744205137303346221296198955738225851946735592746606798833608302261200297587\ 99858051392 ngd[{2, 2, 2, 2}, 26, 1] = 0 ngd[{2, 2, 2, 2}, 26, 2] = 0 ngd[{2, 2, 2, 2}, 26, 3] = 0 ngd[{2, 2, 2, 2}, 26, 4] = 0 ngd[{2, 2, 2, 2}, 26, 5] = 0 ngd[{2, 2, 2, 2}, 26, 6] = 0 ngd[{2, 2, 2, 2}, 26, 7] = 0 ngd[{2, 2, 2, 2}, 26, 8] = 0 ngd[{2, 2, 2, 2}, 26, 9] = 0 ngd[{2, 2, 2, 2}, 26, 10] = 0 ngd[{2, 2, 2, 2}, 26, 11] = 0 ngd[{2, 2, 2, 2}, 26, 12] = 0 ngd[{2, 2, 2, 2}, 26, 13] = 0 ngd[{2, 2, 2, 2}, 26, 14] = 0 ngd[{2, 2, 2, 2}, 26, 15] = 0 ngd[{2, 2, 2, 2}, 26, 16] = 0 ngd[{2, 2, 2, 2}, 26, 17] = 0 ngd[{2, 2, 2, 2}, 26, 18] = 0 ngd[{2, 2, 2, 2}, 26, 19] = 0 ngd[{2, 2, 2, 2}, 26, 20] = 0 ngd[{2, 2, 2, 2}, 26, 21] = 0 ngd[{2, 2, 2, 2}, 26, 22] = 0 ngd[{2, 2, 2, 2}, 26, 23] = -2580480 ngd[{2, 2, 2, 2}, 26, 24] = 29759108654592 ngd[{2, 2, 2, 2}, 26, 25] = -76198916296947027968 ngd[{2, 2, 2, 2}, 26, 26] = 3449350275027792044585472 ngd[{2, 2, 2, 2}, 26, 27] = -14024860830892283356349737472 ngd[{2, 2, 2, 2}, 26, 28] = 335346170626903677923974373977179648 ngd[{2, 2, 2, 2}, 26, 29] = 270469855569617002394084110344500261836800 ngd[{2, 2, 2, 2}, 26, 30] = 48537914419324786121123254456352038755389766656 ngd[{2, 2, 2, 2}, 26, 31] = 3291431336426668457778312530347702678606794021447168 ngd[{2, 2, 2, 2}, 26, 32] = 111649339169861551408094370673866161440282885651496913408 ngd[{2, 2, 2, 2}, 26, 33] = 2240944887880386415724990161498418376929038214052224050845696 ngd[{2, 2, 2, 2}, 26, 34] = 29692007670283639742546707704374676219338365283575646401799917568 ngd[{2, 2, 2, 2}, 26, 35] = 280192091389446857505756778290744580894869198639655153216839185986560 ngd[{2, 2, 2, 2}, 26, 36] = 1990103781452948785600330707932124203979319171825103583648454241536306176 ngd[{2, 2, 2, 2}, 26, 37] = 11092334292652663991042459298169479158666470092448444693079300393494616496\ 640 ngd[{2, 2, 2, 2}, 26, 38] = 5011843398808381648702431180166123919123374613624\ 8998183538119053860553742433792 ngd[{2, 2, 2, 2}, 26, 39] = 1883799940859282732619651777670607376100703604424\ 46677791644733321439586412332664832 ngd[{2, 2, 2, 2}, 26, 40] = 6015421461117604867878272638536117975945183730333\ 97961465814523007245882792983310959104 ngd[{2, 2, 2, 2}, 26, 41] = 1660488752186337361101211807523938744460631016272\ 317401253317636137179198365811150278509056 ngd[{2, 2, 2, 2}, 26, 42] = 4020368274113043337035247525756895960429460481373\ 746101367788237928477591423154783562119250944 ngd[{2, 2, 2, 2}, 26, 43] = 8644029423196877042792118161980862604855558867929\ 166601717156960202287315411973993334355399838208 ngd[{2, 2, 2, 2}, 26, 44] = 1667939386916268046573485240636017945676107369920\ 4742148800115851190631847925259456265267916099734528 ngd[{2, 2, 2, 2}, 26, 45] = 2914939389755294878050076244135085455834877379914\ 2968419746923243611671317107693427835773751387629886976 ngd[{2, 2, 2, 2}, 26, 46] = 4650781291969052782928614279240302382192374596572\ 2122433140916602877165349743903483401467011474639068900352 ngd[{2, 2, 2, 2}, 26, 47] = 6821951709919434324823602164389087141153728111294\ 8694359897706968386703133308902864902225449267300308678557696 ngd[{2, 2, 2, 2}, 26, 48] = 9256844309014154711150778011671115116871349500946\ 0931080090342492230963852814130609789219956858199189508101931520 ngd[{2, 2, 2, 2}, 26, 49] = 1168355744330040037742512827525094458320800345056\ 14905649675021266600331941670054105530348955908688800963914273599488 ngd[{2, 2, 2, 2}, 26, 50] = 1378404348722505497365495888567833216037524763846\ 48030493805146245900058809105858966696481917744105700737891472637659648 ngd[{2, 2, 2, 2}, 26, 51] = 1526794992769892681545618724715652459995864688050\ 02968414132545767587046404710221798801887227878643625507643966306284715520 ngd[{2, 2, 2, 2}, 26, 52] = 1594086768321848631933586885974188895286431262522\ 98219330077362337497340612714639947410823129817031222037739977924868656504832 ngd[{2, 2, 2, 2}, 26, 53] = 1574458130381474209966015733090470094236446718037\ 60780553225880378679178360177840203944806232479535509786194030349946003653724\ 160 ngd[{2, 2, 2, 2}, 26, 54] = 1475896656157278092405480163669972282892782588468\ 11727435661533082068794918192343167815682053711543153375714124724690373090343\ 365120 ngd[{2, 2, 2, 2}, 26, 55] = 1316978350479891066339540370645320094275026697250\ 48901204457413637696336704975449573599327212977337551287096216391293093061964\ 110851072 ngd[{2, 2, 2, 2}, 26, 56] = 1121710073629476322402746934653913650528131514377\ 28575222544044826307241012745329741011426704201967185100275761099313571544874\ 040768527104 ngd[{2, 2, 2, 2}, 27, 1] = 0 ngd[{2, 2, 2, 2}, 27, 2] = 0 ngd[{2, 2, 2, 2}, 27, 3] = 0 ngd[{2, 2, 2, 2}, 27, 4] = 0 ngd[{2, 2, 2, 2}, 27, 5] = 0 ngd[{2, 2, 2, 2}, 27, 6] = 0 ngd[{2, 2, 2, 2}, 27, 7] = 0 ngd[{2, 2, 2, 2}, 27, 8] = 0 ngd[{2, 2, 2, 2}, 27, 9] = 0 ngd[{2, 2, 2, 2}, 27, 10] = 0 ngd[{2, 2, 2, 2}, 27, 11] = 0 ngd[{2, 2, 2, 2}, 27, 12] = 0 ngd[{2, 2, 2, 2}, 27, 13] = 0 ngd[{2, 2, 2, 2}, 27, 14] = 0 ngd[{2, 2, 2, 2}, 27, 15] = 0 ngd[{2, 2, 2, 2}, 27, 16] = 0 ngd[{2, 2, 2, 2}, 27, 17] = 0 ngd[{2, 2, 2, 2}, 27, 18] = 0 ngd[{2, 2, 2, 2}, 27, 19] = 0 ngd[{2, 2, 2, 2}, 27, 20] = 0 ngd[{2, 2, 2, 2}, 27, 21] = 0 ngd[{2, 2, 2, 2}, 27, 22] = 0 ngd[{2, 2, 2, 2}, 27, 23] = 0 ngd[{2, 2, 2, 2}, 27, 24] = 48079510272 ngd[{2, 2, 2, 2}, 27, 25] = 171316489928174592 ngd[{2, 2, 2, 2}, 27, 26] = -28956814448928221003264 ngd[{2, 2, 2, 2}, 27, 27] = 676635706181756112033362944 ngd[{2, 2, 2, 2}, 27, 28] = 111578409628254093359447139401472 ngd[{2, 2, 2, 2}, 27, 29] = 487235206391134974190508730640230155264 ngd[{2, 2, 2, 2}, 27, 30] = 241494620826306484126905290763697276243065088 ngd[{2, 2, 2, 2}, 27, 31] = 33730813780487483288718310480737356807853914144768 ngd[{2, 2, 2, 2}, 27, 32] = 1995370577498553773046250915728728399566345760037817472 ngd[{2, 2, 2, 2}, 27, 33] = 62854073866433449761187503856883847162152380685345796079616 ngd[{2, 2, 2, 2}, 27, 34] = 1216158899224337017557031062428212143566765558364616468864131840 ngd[{2, 2, 2, 2}, 27, 35] = 15909141042010324395105439080551330852088613383469615307024386206720 ngd[{2, 2, 2, 2}, 27, 36] = 150609079185984545468571688848924570851270294280540615460399665351100160 ngd[{2, 2, 2, 2}, 27, 37] = 10851105001683076864159682292605298336735001507025165529686716600069691801\ 60 ngd[{2, 2, 2, 2}, 27, 38] = 6183770451355531174466351933761062929667246139550\ 954748871606062403723748477440 ngd[{2, 2, 2, 2}, 27, 39] = 2873087399114817158336885326190106452236000694706\ 6658120196167348058975313469987840 ngd[{2, 2, 2, 2}, 27, 40] = 1115157920497109513832374322197413129850002528432\ 91024830795341562909254583872604547712 ngd[{2, 2, 2, 2}, 27, 41] = 3688691076421583011715098952526283955147115785951\ 80569309088191972946149777041942480452608 ngd[{2, 2, 2, 2}, 27, 42] = 1057186253113534654825504537557995079641744737451\ 760722225218382081023975955574455744131268864 ngd[{2, 2, 2, 2}, 27, 43] = 2662154655430024029901391470097694931417115074848\ 943707135429403288321081916096389992898499843072 ngd[{2, 2, 2, 2}, 27, 44] = 5960442230446924340833969966468504064494722483884\ 746443369689317211053546214025595896317917097286400 ngd[{2, 2, 2, 2}, 27, 45] = 1198743704721361637450052216306377203123284157986\ 2902056862405291349612657433882540476671924093595159552 ngd[{2, 2, 2, 2}, 27, 46] = 2184884791295461751493969302048391271731647985993\ 4048680201872229670385876485476209742196258224942125032960 ngd[{2, 2, 2, 2}, 27, 47] = 3637078890997352587951769967128677958127911709248\ 3615062473683537054983161843974757853696110029488330820149248 ngd[{2, 2, 2, 2}, 27, 48] = 5567541758849690270549234285770580569687843272563\ 0944758535406172535070741306052870371645086308680386401965464128 ngd[{2, 2, 2, 2}, 27, 49] = 7884727670578005732458237772083129031935305708974\ 6760672479491603676709527785680488487346143564668677140644534059008 ngd[{2, 2, 2, 2}, 27, 50] = 1038630618962010191122950459647106296777294780365\ 60948091678981145136308768124976807904796793018945198716835490680000768 ngd[{2, 2, 2, 2}, 27, 51] = 1278734196343447025165387145414799332218586340781\ 84630715836136046577803516681955864882670214550337215520131080619698729984 ngd[{2, 2, 2, 2}, 27, 52] = 1477837838554109540054609618994446691931945632049\ 91476946379010489573296849135972748732588355246553496559768275521427315704320 ngd[{2, 2, 2, 2}, 27, 53] = 1609535968768386384078132443562927465067240525412\ 26301541923802916431995089608438014898633076805790056256592185756215572824718\ 336 ngd[{2, 2, 2, 2}, 27, 54] = 1657841949714722468304780245510199500273984083184\ 52628086720288849662410125420259686198490522349669528201614914632425905110296\ 033792 ngd[{2, 2, 2, 2}, 27, 55] = 1620153395239342732385370693892946697206888780156\ 35234476053468828635119303836108597386431324130687731502496369562812341819849\ 232262144 ngd[{2, 2, 2, 2}, 27, 56] = 1506674432806789299666759714561252777578765983927\ 91749788443301381106974810039738357078689122833505425322603835089699315222718\ 698271518336 ngd[{2, 2, 2, 2}, 28, 1] = 0 ngd[{2, 2, 2, 2}, 28, 2] = 0 ngd[{2, 2, 2, 2}, 28, 3] = 0 ngd[{2, 2, 2, 2}, 28, 4] = 0 ngd[{2, 2, 2, 2}, 28, 5] = 0 ngd[{2, 2, 2, 2}, 28, 6] = 0 ngd[{2, 2, 2, 2}, 28, 7] = 0 ngd[{2, 2, 2, 2}, 28, 8] = 0 ngd[{2, 2, 2, 2}, 28, 9] = 0 ngd[{2, 2, 2, 2}, 28, 10] = 0 ngd[{2, 2, 2, 2}, 28, 11] = 0 ngd[{2, 2, 2, 2}, 28, 12] = 0 ngd[{2, 2, 2, 2}, 28, 13] = 0 ngd[{2, 2, 2, 2}, 28, 14] = 0 ngd[{2, 2, 2, 2}, 28, 15] = 0 ngd[{2, 2, 2, 2}, 28, 16] = 0 ngd[{2, 2, 2, 2}, 28, 17] = 0 ngd[{2, 2, 2, 2}, 28, 18] = 0 ngd[{2, 2, 2, 2}, 28, 19] = 0 ngd[{2, 2, 2, 2}, 28, 20] = 0 ngd[{2, 2, 2, 2}, 28, 21] = 0 ngd[{2, 2, 2, 2}, 28, 22] = 0 ngd[{2, 2, 2, 2}, 28, 23] = 0 ngd[{2, 2, 2, 2}, 28, 24] = -741888 ngd[{2, 2, 2, 2}, 28, 25] = -53506726369280 ngd[{2, 2, 2, 2}, 28, 26] = 148082151669834467840 ngd[{2, 2, 2, 2}, 28, 27] = -8426436592052245162780672 ngd[{2, 2, 2, 2}, 28, 28] = 129061407014751624058454021120 ngd[{2, 2, 2, 2}, 28, 29] = 354595420468176962601984671871634432 ngd[{2, 2, 2, 2}, 28, 30] = 658773474690909164912941597868692229858304 ngd[{2, 2, 2, 2}, 28, 31] = 220746578690528125610839923977157260857795234304 ngd[{2, 2, 2, 2}, 28, 32] = 24924143215787162036126087551426521339392903040189440 ngd[{2, 2, 2, 2}, 28, 33] = 1306965557277327957021142340124527144106564978460072449024 ngd[{2, 2, 2, 2}, 28, 34] = 38481519580014956254296271627003899542790907203028676397845504 ngd[{2, 2, 2, 2}, 28, 35] = 719253894765271026257710483242164014919414699720168648025180966400 ngd[{2, 2, 2, 2}, 28, 36] = 9287469159423834498732573176681319045843862368618870970868155941655040 ngd[{2, 2, 2, 2}, 28, 37] = 88082302971478120657073432143902129469748499810995472105223725672001525248 ngd[{2, 2, 2, 2}, 28, 38] = 6424555639064243204217432403651947321777528670540\ 43922263629957404843016915456 ngd[{2, 2, 2, 2}, 28, 39] = 3734605253054479415806397041540556589463299692009\ 026071536137335840292620841335296 ngd[{2, 2, 2, 2}, 28, 40] = 1779864113085231549506916806702170564770495650598\ 6329880643461159735186693307339492352 ngd[{2, 2, 2, 2}, 28, 41] = 7115889686697011919352573137106486373407656776541\ 2596026931986330979493767868199735714816 ngd[{2, 2, 2, 2}, 28, 42] = 2432084388007991346831761299324848833077855277551\ 01295977522523949913420733685014211320610304 ngd[{2, 2, 2, 2}, 28, 43] = 7219306609469083907425524902715790264232205804883\ 51156478880684312055995633279029034794758199296 ngd[{2, 2, 2, 2}, 28, 44] = 1886190664231768884973398353927604037818795598810\ 846794578075414217025233807067576167252929364364288 ngd[{2, 2, 2, 2}, 28, 45] = 4387479761671976572263421485683166380775337918365\ 937096063264994860255104172995592660140675027683173376 ngd[{2, 2, 2, 2}, 28, 46] = 9176390632140846362114371428418828847838372983707\ 077652679329646620212979806316545505609006007035129821696 ngd[{2, 2, 2, 2}, 28, 47] = 1740558392394368639581152141189943493341731563073\ 1065288998279161352974845737051617477576435918526433290319360 ngd[{2, 2, 2, 2}, 28, 48] = 3016744831167338152056986971680709586432267829346\ 7140011402114645130408009490531236450917279976134308453780348544 ngd[{2, 2, 2, 2}, 28, 49] = 4809624552837271735519587793938295481841144575334\ 9094110157856100965927068424096797984725279847982151198006130968576 ngd[{2, 2, 2, 2}, 28, 50] = 7095317739613583035190069549763143432580765224558\ 7758774608084238718553093567967054282960119047332447251788535766863872 ngd[{2, 2, 2, 2}, 28, 51] = 9736674028249053807667579759000387266899452854229\ 4754908235950564309618136002122407051862990696682626622462591627292303360 ngd[{2, 2, 2, 2}, 28, 52] = 1248767608054669498690557252989720455689022625313\ 96546447092337212129942237238788436410638668525953776010154072046251832245760 ngd[{2, 2, 2, 2}, 28, 53] = 1503264743002229335873003668729889381819130374443\ 14150139125320596740065239903763092989203348680557774471402402767101126825411\ 584 ngd[{2, 2, 2, 2}, 28, 54] = 1705085938444647838160840547540676743400518122896\ 77922213437744534707273680437328562461101153646215963209675376840479321449852\ 058624 ngd[{2, 2, 2, 2}, 28, 55] = 1828664743393924048649141287150918382600576747864\ 76187986983839628779383507698784255349171333746499201174768732023351992536668\ 083868160 ngd[{2, 2, 2, 2}, 28, 56] = 1860303875144796058051707805211225469273791377776\ 72917215906668924789162766005227966872526639257205465776217472810150104698895\ 719946638080 ngd[{2, 2, 2, 2}, 29, 1] = 0 ngd[{2, 2, 2, 2}, 29, 2] = 0 ngd[{2, 2, 2, 2}, 29, 3] = 0 ngd[{2, 2, 2, 2}, 29, 4] = 0 ngd[{2, 2, 2, 2}, 29, 5] = 0 ngd[{2, 2, 2, 2}, 29, 6] = 0 ngd[{2, 2, 2, 2}, 29, 7] = 0 ngd[{2, 2, 2, 2}, 29, 8] = 0 ngd[{2, 2, 2, 2}, 29, 9] = 0 ngd[{2, 2, 2, 2}, 29, 10] = 0 ngd[{2, 2, 2, 2}, 29, 11] = 0 ngd[{2, 2, 2, 2}, 29, 12] = 0 ngd[{2, 2, 2, 2}, 29, 13] = 0 ngd[{2, 2, 2, 2}, 29, 14] = 0 ngd[{2, 2, 2, 2}, 29, 15] = 0 ngd[{2, 2, 2, 2}, 29, 16] = 0 ngd[{2, 2, 2, 2}, 29, 17] = 0 ngd[{2, 2, 2, 2}, 29, 18] = 0 ngd[{2, 2, 2, 2}, 29, 19] = 0 ngd[{2, 2, 2, 2}, 29, 20] = 0 ngd[{2, 2, 2, 2}, 29, 21] = 0 ngd[{2, 2, 2, 2}, 29, 22] = 0 ngd[{2, 2, 2, 2}, 29, 23] = 0 ngd[{2, 2, 2, 2}, 29, 24] = -12096 ngd[{2, 2, 2, 2}, 29, 25] = -53752768512 ngd[{2, 2, 2, 2}, 29, 26] = -360766356207564800 ngd[{2, 2, 2, 2}, 29, 27] = 73523470330439872937984 ngd[{2, 2, 2, 2}, 29, 28] = -2078627751373760649808167424 ngd[{2, 2, 2, 2}, 29, 29] = 94423794524081382263543300201472 ngd[{2, 2, 2, 2}, 29, 30] = 856560536096445830359777350862419230720 ngd[{2, 2, 2, 2}, 29, 31] = 857966531817315197775578658278875047522436096 ngd[{2, 2, 2, 2}, 29, 32] = 208355169928851366932353025862191460529907929353216 ngd[{2, 2, 2, 2}, 29, 33] = 19586384967272590758326399475828424735496676998311142400 ngd[{2, 2, 2, 2}, 29, 34] = 922494552928841161222130563261550884625954994366613838744576 ngd[{2, 2, 2, 2}, 29, 35] = 25531754857912093748559875225039583158320982822284376046104889344 ngd[{2, 2, 2, 2}, 29, 36] = 461855843738133647107449892716169929742723067433985159667767841110528 ngd[{2, 2, 2, 2}, 29, 37] = 5886357757622132342449155186095694011769226999457229399162959744452998144 ngd[{2, 2, 2, 2}, 29, 38] = 55863117288947933010376210572516349019746377310057634992734175177137645554\ 688 ngd[{2, 2, 2, 2}, 29, 39] = 4117704439718319702182889410497883793366195781235\ 19060504495727862910399123695616 ngd[{2, 2, 2, 2}, 29, 40] = 2436600236111699052828956362731132190010304003011\ 553797165267861776758361398894563264 ngd[{2, 2, 2, 2}, 29, 41] = 1188525110061564376126038594163928971617904694912\ 1239930499765878733704423117110440838144 ngd[{2, 2, 2, 2}, 29, 42] = 4883282952898672674342328466189386985146357827645\ 2155381908190647390086768302476749361886208 ngd[{2, 2, 2, 2}, 29, 43] = 1720589501358644910221810283656442855262657807110\ 33883578616521414435651069635136251900779792384 ngd[{2, 2, 2, 2}, 29, 44] = 5277710590038687634293727921183944245565489961690\ 83368080351693336395003625774426320048066342568064 ngd[{2, 2, 2, 2}, 29, 45] = 1427508081354414325977952518895419278609617358394\ 837304374322174789598978611519821085515343865843400704 ngd[{2, 2, 2, 2}, 29, 46] = 3442336373714615606137282193780052285957207620555\ 937456210969713439581799643052135244264291593103436041216 ngd[{2, 2, 2, 2}, 29, 47] = 7471525055373515452225974242202284376493706488853\ 703945730706114053504970200654650649748757126250153779368960 ngd[{2, 2, 2, 2}, 29, 48] = 1471843722645053326232482878244684037717518589022\ 1922613042959704398179563352272428962323220885672597473998858688 ngd[{2, 2, 2, 2}, 29, 49] = 2650880787771747624371044296830011267448432510085\ 6222273146279535068562412812578333415482653631336788300025567567872 ngd[{2, 2, 2, 2}, 29, 50] = 4393480328807081782484574999284699578499602587352\ 1061805904304135636726084070470067463511269627451558329599079031752192 ngd[{2, 2, 2, 2}, 29, 51] = 6739406087122010321453805337343446367965269557345\ 8674212903169492784472629195063075579359016390815649709271774707473055744 ngd[{2, 2, 2, 2}, 29, 52] = 9617661312258797124354907899506102936070191519279\ 3085487390319475337748150937714129397073788449195829975855676488554396141568 ngd[{2, 2, 2, 2}, 29, 53] = 1282820553381318807541697968941826277906122740715\ 11953302748592341803474439133467493505656158822132710450766355836620999062937\ 600 ngd[{2, 2, 2, 2}, 29, 54] = 1605936896272243952721769373647489729659999183115\ 92421233856978276513506766325406674204020461360719730315168841793660881481181\ 607936 ngd[{2, 2, 2, 2}, 29, 55] = 1894105527829495754498486547915044224123573973105\ 20388066787178288156351009006619193497263263999362800275088869529737869228803\ 773974528 ngd[{2, 2, 2, 2}, 29, 56] = 2111984989563093873484443037611488793790213059426\ 97067910519039287108586658602687846598496826686487142241138159559762135626733\ 673864289376 ngd[{2, 2, 2, 2}, 30, 1] = 0 ngd[{2, 2, 2, 2}, 30, 2] = 0 ngd[{2, 2, 2, 2}, 30, 3] = 0 ngd[{2, 2, 2, 2}, 30, 4] = 0 ngd[{2, 2, 2, 2}, 30, 5] = 0 ngd[{2, 2, 2, 2}, 30, 6] = 0 ngd[{2, 2, 2, 2}, 30, 7] = 0 ngd[{2, 2, 2, 2}, 30, 8] = 0 ngd[{2, 2, 2, 2}, 30, 9] = 0 ngd[{2, 2, 2, 2}, 30, 10] = 0 ngd[{2, 2, 2, 2}, 30, 11] = 0 ngd[{2, 2, 2, 2}, 30, 12] = 0 ngd[{2, 2, 2, 2}, 30, 13] = 0 ngd[{2, 2, 2, 2}, 30, 14] = 0 ngd[{2, 2, 2, 2}, 30, 15] = 0 ngd[{2, 2, 2, 2}, 30, 16] = 0 ngd[{2, 2, 2, 2}, 30, 17] = 0 ngd[{2, 2, 2, 2}, 30, 18] = 0 ngd[{2, 2, 2, 2}, 30, 19] = 0 ngd[{2, 2, 2, 2}, 30, 20] = 0 ngd[{2, 2, 2, 2}, 30, 21] = 0 ngd[{2, 2, 2, 2}, 30, 22] = 0 ngd[{2, 2, 2, 2}, 30, 23] = 0 ngd[{2, 2, 2, 2}, 30, 24] = 0 ngd[{2, 2, 2, 2}, 30, 25] = -3096576 ngd[{2, 2, 2, 2}, 30, 26] = 181546862557184 ngd[{2, 2, 2, 2}, 30, 27] = -402179032717046661120 ngd[{2, 2, 2, 2}, 30, 28] = 26960825093766016124798464 ngd[{2, 2, 2, 2}, 30, 29] = -458230124574816760788593375744 ngd[{2, 2, 2, 2}, 30, 30] = 426767131476617732160500802365164544 ngd[{2, 2, 2, 2}, 30, 31] = 1788537543733001300554877927239359357929472 ngd[{2, 2, 2, 2}, 30, 32] = 1101600211122576273596826013682741354374009488768 ngd[{2, 2, 2, 2}, 30, 33] = 204226965163115225286430735881580250165960500477531648 ngd[{2, 2, 2, 2}, 30, 34] = 16363792840465652194494594239803808411795219285846766261760 ngd[{2, 2, 2, 2}, 30, 35] = 699890768520726528389722389221349347229947423070001725791020544 ngd[{2, 2, 2, 2}, 30, 36] = 18298294004571446302966809127961985773544578967731583097413950494720 ngd[{2, 2, 2, 2}, 30, 37] = 320917162386539795743085655643376061657354270063561772118245215539131904 ngd[{2, 2, 2, 2}, 30, 38] = 40370793725419567579772818989149791968132890115956779678337157792026265999\ 36 ngd[{2, 2, 2, 2}, 30, 39] = 3830169593244700236776339766522793923401616760815\ 0631031957628007677641185652736 ngd[{2, 2, 2, 2}, 30, 40] = 2848828701842641800322269687547421406874194778439\ 54694366998333573728530041129719552 ngd[{2, 2, 2, 2}, 30, 41] = 1712887788063837536656796753324376324389963938002\ 080906223085144088690942233634714946560 ngd[{2, 2, 2, 2}, 30, 42] = 8534287457892512309444105952523801054418243217190\ 402295023493641959423133747538068483118080 ngd[{2, 2, 2, 2}, 30, 43] = 3596081219391767694559139995306670333402191826294\ 6509785760635760363128109112331366820911616000 ngd[{2, 2, 2, 2}, 30, 44] = 1303460294772969180533022647121435192328146447788\ 48416645598529968460849840258705042242217643801088 ngd[{2, 2, 2, 2}, 30, 45] = 4122961903416164104207901990294286046147917378437\ 52540373372917361446366538834004490380031348945903104 ngd[{2, 2, 2, 2}, 30, 46] = 1152103248302630460376887120664399990421994553498\ 514595423870543279935109353510859781083352868560659956224 ngd[{2, 2, 2, 2}, 30, 47] = 2874338584835959918904288693615158114282996914657\ 186431269453361757492950883212299899872777479067795968971776 ngd[{2, 2, 2, 2}, 30, 48] = 6461654019153640441692252775685504725582623097761\ 372070394604763292332935653589675874882056138478227356151198720 ngd[{2, 2, 2, 2}, 30, 49] = 1319497584639686876238597653166303314604935560228\ 4414573405766831474480438782683800033529726546320824669781021365248 ngd[{2, 2, 2, 2}, 30, 50] = 2465014014915800973473296386754146924741890726606\ 2819646027098481381166015023332512810723963889980322263648029055768064 ngd[{2, 2, 2, 2}, 30, 51] = 4239502374705508088820721167795227205408005080180\ 7139799035498406900370884639918971942737848561270019001462870800922583552 ngd[{2, 2, 2, 2}, 30, 52] = 6750537236490647762487133662895375893930003040515\ 4828751992056899606852051765761101769906527873925230038848532663115041058816 ngd[{2, 2, 2, 2}, 30, 53] = 1000184539473788667001744241214109504523347817517\ 95110039838682955334260564044375322116198938702666054125904508073544766590640\ 640 ngd[{2, 2, 2, 2}, 30, 54] = 1385200994715233092239916691543248181411149707863\ 09665286016729770322353760172605345735571521226455752433873484339873761251304\ 109568 ngd[{2, 2, 2, 2}, 30, 55] = 1800611219794188502974048682634737454952266443471\ 99848299266708541611056013962902330476829890639880266154156836789878481436552\ 944426496 ngd[{2, 2, 2, 2}, 30, 56] = 2205060872252224882115727842419958601092152815658\ 44817315013988226480696804641420652477682815766824690675662509545434996614289\ 411683502080 ngd[{2, 2, 2, 2}, 31, 1] = 0 ngd[{2, 2, 2, 2}, 31, 2] = 0 ngd[{2, 2, 2, 2}, 31, 3] = 0 ngd[{2, 2, 2, 2}, 31, 4] = 0 ngd[{2, 2, 2, 2}, 31, 5] = 0 ngd[{2, 2, 2, 2}, 31, 6] = 0 ngd[{2, 2, 2, 2}, 31, 7] = 0 ngd[{2, 2, 2, 2}, 31, 8] = 0 ngd[{2, 2, 2, 2}, 31, 9] = 0 ngd[{2, 2, 2, 2}, 31, 10] = 0 ngd[{2, 2, 2, 2}, 31, 11] = 0 ngd[{2, 2, 2, 2}, 31, 12] = 0 ngd[{2, 2, 2, 2}, 31, 13] = 0 ngd[{2, 2, 2, 2}, 31, 14] = 0 ngd[{2, 2, 2, 2}, 31, 15] = 0 ngd[{2, 2, 2, 2}, 31, 16] = 0 ngd[{2, 2, 2, 2}, 31, 17] = 0 ngd[{2, 2, 2, 2}, 31, 18] = 0 ngd[{2, 2, 2, 2}, 31, 19] = 0 ngd[{2, 2, 2, 2}, 31, 20] = 0 ngd[{2, 2, 2, 2}, 31, 21] = 0 ngd[{2, 2, 2, 2}, 31, 22] = 0 ngd[{2, 2, 2, 2}, 31, 23] = 0 ngd[{2, 2, 2, 2}, 31, 24] = 0 ngd[{2, 2, 2, 2}, 31, 25] = 0 ngd[{2, 2, 2, 2}, 31, 26] = 64906042368 ngd[{2, 2, 2, 2}, 31, 27] = 1116179352565132288 ngd[{2, 2, 2, 2}, 31, 28] = -250057067820509335967488 ngd[{2, 2, 2, 2}, 31, 29] = 8172732703245568600405488640 ngd[{2, 2, 2, 2}, 31, 30] = -43078064236101241983416388443136 ngd[{2, 2, 2, 2}, 31, 31] = 1715481047251119502386645727815292438528 ngd[{2, 2, 2, 2}, 31, 32] = 3412639814389472162600825863035067854012959360 ngd[{2, 2, 2, 2}, 31, 33] = 1416711039960797797979642748294568563510711946384384 ngd[{2, 2, 2, 2}, 31, 34] = 208669491198687866708804539415210301352469118223420244224 ngd[{2, 2, 2, 2}, 31, 35] = 14524833174761802951534607405055271898525762164168941946209280 ngd[{2, 2, 2, 2}, 31, 36] = 569410079800358358732891552818521403201867130426109946693618702848 ngd[{2, 2, 2, 2}, 31, 37] = 14123539709772647915110178731597268302322471913790570865071445862365184 ngd[{2, 2, 2, 2}, 31, 38] = 24053996526738244471867445871042266628251627370346384615471002580981958067\ 2 ngd[{2, 2, 2, 2}, 31, 39] = 2987016304968178268347442390909698258319417943602\ 120358742553243983026439918592 ngd[{2, 2, 2, 2}, 31, 40] = 2830844795670231705715181410535795065397358982691\ 2034365509980353763470260773819776 ngd[{2, 2, 2, 2}, 31, 41] = 2121828858517681582625278987601754095045377966449\ 42153661771822995595303174012044328960 ngd[{2, 2, 2, 2}, 31, 42] = 1294197195799237018219502931087691884938791297899\ 285711077451692663224072845794839252759040 ngd[{2, 2, 2, 2}, 31, 43] = 6574633184748295873657198212717463729327950598826\ 185486398721879804829616715899755189854418944 ngd[{2, 2, 2, 2}, 31, 44] = 2835774828685196538183439689431633976454516967707\ 8413597131011027567414869589486691856247208985856 ngd[{2, 2, 2, 2}, 31, 45] = 1055374199798193356916092169685818080192665436274\ 96758906916390528463899911076421967904962291411691520 ngd[{2, 2, 2, 2}, 31, 46] = 3435769001005989934886263984099881953943576861087\ 73180654838718678709055373989759556752199696084005339904 ngd[{2, 2, 2, 2}, 31, 47] = 9899811563032182146876396657897389888124619488484\ 17496735504533896546133398128970772498301058536649229103104 ngd[{2, 2, 2, 2}, 31, 48] = 2550541692528739360845718147785997576601592966215\ 455759513942148061771381564791395243225632404716463602401286336 ngd[{2, 2, 2, 2}, 31, 49] = 5927813867587322348838240095340577267927948432549\ 005211009280912957437905428378638985412685906742263093521526598656 ngd[{2, 2, 2, 2}, 31, 50] = 1252564828953429975228806268947895911788145063678\ 6929550982272129560075749562028004287907087924724416898354139899361536 ngd[{2, 2, 2, 2}, 31, 51] = 2422951507267549401997342795888851339367486453100\ 3522135909094647894133657453907528273835339168094302745273206776175742976 ngd[{2, 2, 2, 2}, 31, 52] = 4317102694847544128735113286350455202901349680086\ 2163742478131241471865082126951304243229570887090269778828278068202544816128 ngd[{2, 2, 2, 2}, 31, 53] = 7124024182121156665719401353304826719545026833555\ 45843104287666754062713837666207986348335015578082510154409440688686875153315\ 84 ngd[{2, 2, 2, 2}, 31, 54] = 1094167527821778512711624735582931197398398015066\ 19781475378759376950673655792025674939242599043951919052877792934214602304105\ 610496 ngd[{2, 2, 2, 2}, 31, 55] = 1571081107387579913478377050412601749887640053328\ 51696739801342762044166868432440113907026150004461022383994244850306153753671\ 200241664 ngd[{2, 2, 2, 2}, 31, 56] = 2117477794690272073587748911380618062157941128459\ 59227529927875095746581779747773791865825235132407551880831059387912799920796\ 754093221120 ngd[{2, 2, 2, 2}, 32, 1] = 0 ngd[{2, 2, 2, 2}, 32, 2] = 0 ngd[{2, 2, 2, 2}, 32, 3] = 0 ngd[{2, 2, 2, 2}, 32, 4] = 0 ngd[{2, 2, 2, 2}, 32, 5] = 0 ngd[{2, 2, 2, 2}, 32, 6] = 0 ngd[{2, 2, 2, 2}, 32, 7] = 0 ngd[{2, 2, 2, 2}, 32, 8] = 0 ngd[{2, 2, 2, 2}, 32, 9] = 0 ngd[{2, 2, 2, 2}, 32, 10] = 0 ngd[{2, 2, 2, 2}, 32, 11] = 0 ngd[{2, 2, 2, 2}, 32, 12] = 0 ngd[{2, 2, 2, 2}, 32, 13] = 0 ngd[{2, 2, 2, 2}, 32, 14] = 0 ngd[{2, 2, 2, 2}, 32, 15] = 0 ngd[{2, 2, 2, 2}, 32, 16] = 0 ngd[{2, 2, 2, 2}, 32, 17] = 0 ngd[{2, 2, 2, 2}, 32, 18] = 0 ngd[{2, 2, 2, 2}, 32, 19] = 0 ngd[{2, 2, 2, 2}, 32, 20] = 0 ngd[{2, 2, 2, 2}, 32, 21] = 0 ngd[{2, 2, 2, 2}, 32, 22] = 0 ngd[{2, 2, 2, 2}, 32, 23] = 0 ngd[{2, 2, 2, 2}, 32, 24] = 0 ngd[{2, 2, 2, 2}, 32, 25] = 0 ngd[{2, 2, 2, 2}, 32, 26] = 55690752 ngd[{2, 2, 2, 2}, 32, 27] = -886291499935744 ngd[{2, 2, 2, 2}, 32, 28] = 1503577307618408309248 ngd[{2, 2, 2, 2}, 32, 29] = -112153119446891908832590336 ngd[{2, 2, 2, 2}, 32, 30] = 2182491988704867485579140762624 ngd[{2, 2, 2, 2}, 32, 31] = 564755081198028797272707512886818816 ngd[{2, 2, 2, 2}, 32, 32] = 5554740123568665595256211897156109770701440 ngd[{2, 2, 2, 2}, 32, 33] = 6165420389068609711139211679778902468017692967936 ngd[{2, 2, 2, 2}, 32, 34] = 1845156392973651540203996725836260868452741435712041472 ngd[{2, 2, 2, 2}, 32, 35] = 222797207765165863560735521227667425527885121784547815874048 ngd[{2, 2, 2, 2}, 32, 36] = 13684849118986218289828581978002211539223829577932620202772367360 ngd[{2, 2, 2, 2}, 32, 37] = 495637906407529298025524376655850561561040258676014312152107203354112 ngd[{2, 2, 2, 2}, 32, 38] = 11707893220107335374656071245499079024370805251548795714840079384039955968 ngd[{2, 2, 2, 2}, 32, 39] = 1939267309651856340819547970030893191806590587400\ 04170661767812014097097072128 ngd[{2, 2, 2, 2}, 32, 40] = 2377556421120890571501413567561223726189459853780\ 777546481850460589681807349446400 ngd[{2, 2, 2, 2}, 32, 41] = 2249322005906269693431493185643122289896482934588\ 4665194233481941895404892539583691776 ngd[{2, 2, 2, 2}, 32, 42] = 1697041996146063983343719360287244925654011359367\ 85279234792276786664503854120161770301952 ngd[{2, 2, 2, 2}, 32, 43] = 1048531541197402948203197030691265001261836885799\ 947580867776119391416215921823436569968299008 ngd[{2, 2, 2, 2}, 32, 44] = 5422258475336218747829849808216704026989933170389\ 759639667190736303541449911293050812025348194304 ngd[{2, 2, 2, 2}, 32, 45] = 2389852494717997194909078899633595215776804488641\ 6320983466015391087457025546717897458764285476453888 ngd[{2, 2, 2, 2}, 32, 46] = 9116013309472159141185064502371745213170009638499\ 8225729958284040137413236109326666199761110446956999168 ngd[{2, 2, 2, 2}, 32, 47] = 3048989109235772681772546335538562427055546562074\ 64807180591999680819717606623042385049275727568946244329984 ngd[{2, 2, 2, 2}, 32, 48] = 9042983616437049629472307960584586842109611689905\ 37156323261498514957730725974286341665563546412547832835066880 ngd[{2, 2, 2, 2}, 32, 49] = 2401702673289470853360289041969657705826876317023\ 074124002589863531306819006707182659775356434095451933154417064960 ngd[{2, 2, 2, 2}, 32, 50] = 5760975259101924273604268374352969247007405791110\ 553865989481597847934250930092471660032623316152481233045295559443968 ngd[{2, 2, 2, 2}, 32, 51] = 1257530917770235822691379066313986151460199211379\ 3662873905452580077447612956625440986356923292951738808400974255100008448 ngd[{2, 2, 2, 2}, 32, 52] = 2514738138067797719728899865175389475479317822780\ 2970694017045088516279126486942199059277724699049828515765046851426028265472 ngd[{2, 2, 2, 2}, 32, 53] = 4634565191438940354400679835269794816095635096526\ 34218343375481077128660002495540182953024542559505067437852255768959071592345\ 60 ngd[{2, 2, 2, 2}, 32, 54] = 7913869416759489313682356686484016026687498154143\ 79587947901390008304100975052488429128031185385294667787947864976070892573565\ 85472 ngd[{2, 2, 2, 2}, 32, 55] = 1258120508549150082291706607187398588218531537562\ 11932281021138707527801952849423677450510768851285743150216733520318896355197\ 824067072 ngd[{2, 2, 2, 2}, 32, 56] = 1870243627947125173275103561866794490093318596913\ 92807170418329802997855964303770545061200848508922184362529311277783747571938\ 439746902528