ngd[0, 1] = 1280
 
ngd[0, 2] = 92288
 
ngd[0, 3] = 15655168
 
ngd[0, 4] = 3883902528
 
ngd[0, 5] = 1190923282176
 
ngd[0, 6] = 417874605342336
 
ngd[0, 7] = 160964588281789696
 
ngd[0, 8] = 66392895625625639488
 
ngd[0, 9] = 28855060316616488359936
 
ngd[0, 10] = 13069047760169269024822656
 
ngd[0, 11] = 6120237475407486434666617088
 
ngd[0, 12] = 2946240164493101121609807042880
 
ngd[0, 13] = 1451521723048555184993212271677184
 
ngd[0, 14] = 729359127416597618928975536123540608
 
ngd[0, 15] = 372767405871565200223492775287001701120
 
ngd[0, 16] = 193356406784208385213827499686874510015040
 
ngd[0, 17] = 101606751091857407788281087029439219147286272
 
ngd[0, 18] = 54011118222274393294176294370838415376632364032
 
ngd[0, 19] = 29006721031375167678423543580812641523573783433472
 
ngd[0, 20] = 15722105045068782170402865503903134307265397121634496
 
ngd[0, 21] = 8592671723862725212173943457972291451227446930860423424
 
ngd[0, 22] = 4731673423878948757966954218548092604943107646842600295040
 
ngd[0, 23] = 2623486285333547862783131098439419130367144466127563043958016
 
ngd[0, 24] = 1463747225078165383191997084274117094969271931772038124856343872
 
ngd[0, 25] = 
    821397857302979074587032557575349822244501266881716303513857069056
 
ngd[0, 26] = 
    463387670332967392443045040952935840499528347598932572338026009237888
 
ngd[0, 27] = 
    262702593616738234910814499045766492731478721740890166654708668863379456
 
ngd[0, 28] = 
    1496090423547363652170071403762598807821867000224086975315009658743817247\
36
 
ngd[0, 29] = 
    8556298512225032179569053284796868790098527588112966373813222562500098446\
1056
 
ngd[0, 30] = 4912740049076527269225350073241304488037581448958911799863371727\
4802529833297792
 
ngd[0, 31] = 2831123970528802827495912052337146155566312966049065851601313743\
8943757971123463424
 
ngd[0, 32] = 1637153674539768487955676073491207271926555918966510881956615734\
4997796441104897358400
 
ngd[0, 33] = 9497801618406720290411926610407278442319477399873847660266376557\
672271504199217040706304
 
ngd[0, 34] = 5526825419444271940299963589401229762284900941362122249173679443\
168907720635924320363156864
 
ngd[0, 35] = 3225303960278837917362030509963081409437021646861467916322817831\
486148813886079242785522831104
 
ngd[0, 36] = 1887285274873831187358614937580251621128209661928679068988994192\
307522203934612329448432020643328
 
ngd[0, 37] = 1107164074531638895870888345296214870689255906239242207805884971\
595873453849357337321979727022364416
 
ngd[0, 38] = 6510804493999597801545494494550471834812256629021446550652660745\
98684802328948266235220592413255423616
 
ngd[0, 39] = 3837522137396934597615030054696874925198026676307571114245302404\
27615842801732950677342996472934736683776
 
ngd[0, 40] = 2266784315120971458018402356274559185504580865495558699755418030\
50083653980363382808773060951842998725676224
 
ngd[0, 41] = 1341732117572485304284721580499191006817449204889457404958444780\
36981693179047706671058416049625572022017008384
 
ngd[0, 42] = 7957458423285241577671144892251091330031703147995191574965849104\
9785754036099476827219597407978247254952967731840
 
ngd[0, 43] = 4728197274725772276738586682528704826203359179163029009557235386\
6396999101708088632411540572949765611902353965709568
 
ngd[0, 44] = 2814439610658055241814655061535755748672664924381023846670285979\
2282284146139695040999015595684228463043597185757364032
 
ngd[1, 1] = 0
 
ngd[1, 2] = 0
 
ngd[1, 3] = 2560
 
ngd[1, 4] = 17407072
 
ngd[1, 5] = 24834612736
 
ngd[1, 6] = 23689021709568
 
ngd[1, 7] = 19078577926517760
 
ngd[1, 8] = 14088192680381290336
 
ngd[1, 9] = 9895851364631438617600
 
ngd[1, 10] = 6738240516892081648880384
 
ngd[1, 11] = 4495409477983689415925799424
 
ngd[1, 12] = 2957494644183383120980377189216
 
ngd[1, 13] = 1926622315624291477142019877327360
 
ngd[1, 14] = 1246157911384924438334172132041404928
 
ngd[1, 15] = 801802925664004387466389251272772035584
 
ngd[1, 16] = 513871764643261182778028783588625094927712
 
ngd[1, 17] = 328359210233883034600517162739312493462265856
 
ngd[1, 18] = 209341962430115033326834548475038702477091228160
 
ngd[1, 19] = 133230764542590409453652314650814834724104760315392
 
ngd[1, 20] = 84677368680996832703370924700763505574787562164837536
 
ngd[1, 21] = 53762333420049846045631833842932717025446624006162136576
 
ngd[1, 22] = 34106750892722134274241641471143949750648850997753738811648
 
ngd[1, 23] = 21623961901338211122381206462483577703403042551626942682610688
 
ngd[1, 24] = 13703359065308117562971292424589209713527076515132978243143232096
 
ngd[1, 25] = 
    8680939516621750367318652916963315378965767983585199291547102957568
 
ngd[1, 26] = 
    5497879677438092676570891538796233317981937202922557910771630316037376
 
ngd[1, 27] = 
    3481331934441322299028359429640938600646530594550468778605938585080387584
 
ngd[1, 28] = 
    2204164044782390632335497519411831689329484207701181191157929163351450519\
648
 
ngd[1, 29] = 1395443346477437796562868173136209587087033179779183404653085730\
327758945204736
 
ngd[1, 30] = 8834212067587766817634623322231135652571124102670171986701016541\
20230262495864320
 
ngd[1, 31] = 5592744603078672894194974024938931539521408655256197206226345986\
36506089537054674944
 
ngd[1, 32] = 3540750342739041307153728096852451412256531441776985074633286905\
62741529795927194922336
 
ngd[1, 33] = 2241755349794071387548659817848615566537243333285486966050337243\
98668940559019783513017344
 
ngd[1, 34] = 1419421525691830179696136430087246704409134543121731426266178465\
29410056171074632041915379712
 
ngd[1, 35] = 8988165132630022968098914683041296133844848238582317418888914548\
4181951966481528685048514236928
 
ngd[1, 36] = 5692095836373445813180620125149883290972132000447143105634135218\
6051267118942255698451961308207872
 
ngd[1, 37] = 3605113139919003856631389903356437177361693680606974470632047414\
1444332712549497923205835901913636352
 
ngd[1, 38] = 2283570027542420092829819959197655059661439775045276236416781439\
9884271643276703982517420449211518753536
 
ngd[1, 39] = 1446641867498600867878650658152718353641341296824673891347622128\
5422390071101852859796124608307397406832640
 
ngd[1, 40] = 9165600741868335092018313482266522599692977496861633617515432789\
462382612103448967269000723305897598740317600
 
ngd[1, 41] = 5807851750260583059079881540836043350624530952727479033921523226\
210540514026883779436861003464279927128859071488
 
ngd[1, 42] = 3680661377961261632754763947244430677407102546322839418645594422\
717178787051641144092763823342276125870107561578240
 
ngd[1, 43] = 2332881616948250130863463666217613841394764012629384230151816789\
409432003754287900295015623211208808931176039567460864
 
ngd[1, 44] = ngd[1, 44]
 
ngd[2, 1] = 0
 
ngd[2, 2] = 0
 
ngd[2, 3] = 0
 
ngd[2, 4] = -672
 
ngd[2, 5] = 16069888
 
ngd[2, 6] = 174937485184
 
ngd[2, 7] = 494602061689344
 
ngd[2, 8] = 853657285175383648
 
ngd[2, 9] = 1137794220513866498304
 
ngd[2, 10] = 1295103362313689201685376
 
ngd[2, 11] = 1326502057257709768018345216
 
ngd[2, 12] = 1260416813906488860358262602912
 
ngd[2, 13] = 1132605706868945339267564317067520
 
ngd[2, 14] = 974964153860006816455292540552400128
 
ngd[2, 15] = 811240718952319190080947249849763717376
 
ngd[2, 16] = 656736289684589342203637034690579911721696
 
ngd[2, 17] = 519782504296207419768790172528875852001568768
 
ngd[2, 18] = 403694271761065314365693314985363352391910970880
 
ngd[2, 19] = 308559956395716139054600377955555720793535235212032
 
ngd[2, 20] = 232637016259071017050387913562502997172730516978701536
 
ngd[2, 21] = 173329634488758107163278413891795087485804398341048037888
 
ngd[2, 22] = 127813480145866465580452643697843225061361474973140944912512
 
ngd[2, 23] = 93396685862539239074287972648554704824169910779510717987796480
 
ngd[2, 24] = 67700045445383493754135648260804537388649721446708255283597907360
 
ngd[2, 25] = 
    48722526749445962446056087297986808395852756426196456337828846350848
 
ngd[2, 26] = 
    34839948769045704276191702537080112258015354348155705871089487274207872
 
ngd[2, 27] = 
    2476903860286266297448353134144666577227762645444545461391466294291933798\
4
 
ngd[2, 28] = 
    1751716018189829788022715883439012747626980179024349640347687881087501547\
8496
 
ngd[2, 29] = 1232958889816615083849495351139461807781611148597694941495551823\
2285408870989056
 
ngd[2, 30] = 8640621023505175763587185455757174709297073407199418250345165000\
688909333118523392
 
ngd[2, 31] = 6031311962641613389186379396359643107461283784580713518934494273\
814990175846339454976
 
ngd[2, 32] = 4194588822281275003335035878874998936818247198166583712980548456\
608804960891080133007584
 
ngd[2, 33] = 2907382182436771147016377114695067232373571074652113238414244214\
410504012373434772468892928
 
ngd[2, 34] = 2008910972401957320666186649916581954089663695093888180443231825\
128675824254659616182751690752
 
ngd[2, 35] = 1384089106874683683898509731040585210733098267077286771831923301\
669565630226649401883839130735872
 
ngd[2, 36] = 9510448272790329113576082756189956993185755493438072127140399966\
41796577032457413567872290956056320
 
ngd[2, 37] = 6518556576721283742641853897806209812250486597085727274064047057\
40179281831831881131507711600187579136
 
ngd[2, 38] = 4457461641936882773309666786048584044740603664105797229762148071\
32043995992681330073928171754975788808576
 
ngd[2, 39] = 3041409830110904438807574780637545272248933347334522240861646537\
16091557296982239041449432938029837684569344
 
ngd[2, 40] = 2070965643796240326721462350202294916362925760663431481651463363\
31343386190314767385022172211787184438298854368
 
ngd[2, 41] = 1407458665253167148906366029531451342549107285108686814250933323\
51790565722355888199828298618229568459199810648576
 
ngd[2, 42] = 9548006791373979254698383030268433008010698776392453145284566850\
2195447021201337438182204791464091232302366112167040
 
ngd[2, 43] = 6466204719645601263961792350263354861937696040805098621369784363\
6012399064322356825401533142919716267672096673080757504
 
ngd[2, 44] = 4372073675442450918200712241059629525256881538615134752297237927\
0639334775224706343312770642108891290601194419928500487968
 
ngd[3, 1] = 0
 
ngd[3, 2] = 0
 
ngd[3, 3] = 0
 
ngd[3, 4] = -8
 
ngd[3, 5] = 7680
 
ngd[3, 6] = 12679552
 
ngd[3, 7] = 2016330670592
 
ngd[3, 8] = 14859083841009280
 
ngd[3, 9] = 49286012311292922368
 
ngd[3, 10] = 109471203583594388816896
 
ngd[3, 11] = 190218894685731556913480192
 
ngd[3, 12] = 279874217204446276131025749400
 
ngd[3, 13] = 365163231954986760329057937147904
 
ngd[3, 14] = 435097129960702684477646835500740864
 
ngd[3, 15] = 482930826544857054829025421944121045504
 
ngd[3, 16] = 506388081307823080774348494929569413535552
 
ngd[3, 17] = 506819025871064939792531337514548574269157376
 
ngd[3, 18] = 487939020384027784667308708147616076871187680640
 
ngd[3, 19] = 454596412632682369856601869789893496982019750078464
 
ngd[3, 20] = 411800126436910551651424211204582004269920187447941800
 
ngd[3, 21] = 364075714384799820579967568058736711067801757275342699008
 
ngd[3, 22] = 315122539608661207406633871469444855453100296318664715236608
 
ngd[3, 23] = 267702189438759016495837173217305848947242074271604350756177408
 
ngd[3, 24] = 
    223680191335779215845312017729475247100342165577706955877547157568
 
ngd[3, 25] = 
    184153249863003756841714768300401240780774403206241122936100246525952
 
ngd[3, 26] = 
    149611227247493563870155606186112764222003797786472846602865890432693248
 
ngd[3, 27] = 
    1201003429703345670057214604706595585395973062268339585129834786919655372\
80
 
ngd[3, 28] = 
    9536843692184860320473174505264402384953299910331417567549764268944525387\
4104
 
ngd[3, 29] = 7498367241021421272940745008517569366565088663412267983239090375\
4385375577414656
 
ngd[3, 30] = 5842496512163688778316312996312637767042053423708014686104451994\
0901136083194763136
 
ngd[3, 31] = 4514642409701592461765265572937959295220651388164844547144367956\
2849077449691490965504
 
ngd[3, 32] = 3461999858697368113976900363953180992133313250109153278411562956\
5590491669833479830516032
 
ngd[3, 33] = 2636106941384415989754765716624151845875060887720620140155879155\
4879522985118897183504989696
 
ngd[3, 34] = 1994147356083094158827599668793731041696061074085390546382890744\
8113405486307953634927869309952
 
ngd[3, 35] = 1499380791641291684674521638451854238342966268855775976151551515\
2098144662296600227409065359736832
 
ngd[3, 36] = 1121008231566810926915515160783402608695439760375074377360946002\
6985045648584469608368897881365193280
 
ngd[3, 37] = 8337035316431306091406404755795863691475155491512668518674275448\
548506045155782215906371592287629863424
 
ngd[3, 38] = 6169765519124570750572434967104417140307699902050931788106283065\
773031494144282899271818742591476592989696
 
ngd[3, 39] = 4544795450839099352058974869481294706316615379767593659287846560\
964337167413043047236246081593467416686761984
 
ngd[3, 40] = 3333274590181864975417218201775858860920722502471310395332887775\
578497783557564782267289299661073529768087240640
 
ngd[3, 41] = 2434728969458802048468577947768648694658038871145573615389262949\
949011514974225269142550084893936605362398737003008
 
ngd[3, 42] = 1771557123567273780917292616588603046459962435251643240504390772\
419405045373250836050778851813524224319697932420081792
 
ngd[3, 43] = 1284335467712139090542243588844920237820704796222120132397857161\
117448530916440412829128800366069903459843607364409766400
 
ngd[3, 44] = 9279119945514882153751428957089529604244376155381499245563527479\
48638104386916035547145138122972854589580825073600181819736
 
ngd[4, 1] = 0
 
ngd[4, 2] = 0
 
ngd[4, 3] = 0
 
ngd[4, 4] = 0
 
ngd[4, 5] = 0
 
ngd[4, 6] = 276864
 
ngd[4, 7] = -285585152
 
ngd[4, 8] = 37334304102560
 
ngd[4, 9] = 679351051885623552
 
ngd[4, 10] = 3930709488954327862528
 
ngd[4, 11] = 13509613370552052541786624
 
ngd[4, 12] = 33874670277282601624563257472
 
ngd[4, 13] = 68530212851250521505123675625728
 
ngd[4, 14] = 118566659473807050828317088511709056
 
ngd[4, 15] = 182070660543731721572022218938866961920
 
ngd[4, 16] = 254491906393437706380030379435277144646144
 
ngd[4, 17] = 329664045095743658293863658856530371201899008
 
ngd[4, 18] = 401048959624754779554887826553407611957611506176
 
ngd[4, 19] = 462840677478636137655903324197155432761960028257024
 
ngd[4, 20] = 510717825302826418181588699157900150095185120657978432
 
ngd[4, 21] = 542186237709776063050056945011775791813737808870220522752
 
ngd[4, 22] = 556562293471778639664233200969957016089586922744204649261312
 
ngd[4, 23] = 554702992254747861573142132310458898717050300904108091591042304
 
ngd[4, 24] = 
    538600168276755628819208117464253348378700408526643674057183039296
 
ngd[4, 25] = 
    510939765197784773000528171268032389833904781920104224662911843991040
 
ngd[4, 26] = 
    474698057204503623291633320820066234309134473678355702911502722953349760
 
ngd[4, 27] = 
    4328161608406277098172782889761111391416156802625022573349508349009694691\
84
 
ngd[4, 28] = 3879684921186510744539435727623945025620635311315012528396942656\
02990929440320
 
ngd[4, 29] = 3424225150893007512589490377300690317959481798053802582770978892\
15863182210430720
 
ngd[4, 30] = 2979762177119110088212893186418993450718957190093132568268162061\
41891641592883792128
 
ngd[4, 31] = 2559549290543314765550389963082684193704932193721165596036198733\
55388873591663615435776
 
ngd[4, 32] = 2172485913243169515358471259113421184417655432526392986329973595\
78954080548348045219613312
 
ngd[4, 33] = 1823727255027729594556761383873721652068531614156472023369353263\
03231913865951142015677277184
 
ngd[4, 34] = 1515397140306200520648449513639015702012639541487250965451573067\
03759400106027014114456971454464
 
ngd[4, 35] = 1247307045242529639385354611255848830756171367798882632006799100\
19170700185956946273323884994923264
 
ngd[4, 36] = 1017618229602481221223792920361993936783436572127099029393011826\
84818727766966050187229021425765215744
 
ngd[4, 37] = 8234117495114460348409860128799049478893038251482370973067177822\
9249175946300912219979318249061670553600
 
ngd[4, 38] = 6611521694337882503216509710051333836934416430632166676283514209\
8478246889362195925732004170573379020464000
 
ngd[4, 39] = 5270452971078845814660311432358254995578965010414805569470129573\
0968925365060988274777823194629600641413103872
 
ngd[4, 40] = 4172992475548560490736238257551282996703675711975571148160511510\
5679963196444517512703123328333447883138787907136
 
ngd[4, 41] = 3283028427693776723068424046653911381514730486321650607506488507\
4742765923949823090206341476898079171355892796475648
 
ngd[4, 42] = 2567369888778930917435330446131253428140700593154507819663116094\
2256769786803564563859181318767183678322568964103203840
 
ngd[4, 43] = 1996342951264406774806923020235048283604009558979254085473350084\
7269827419893384275161671757806148845259678683588353070592
 
ngd[4, 44] = 1544006431368966869868496855874279086113083022029606657135946129\
9055440848559071674118887323819795736124798985441416958422720
 
ngd[5, 1] = 0
 
ngd[5, 2] = 0
 
ngd[5, 3] = 0
 
ngd[5, 4] = 0
 
ngd[5, 5] = 0
 
ngd[5, 6] = 0
 
ngd[5, 7] = 591360
 
ngd[5, 8] = -46434384200
 
ngd[5, 9] = 1103462757073920
 
ngd[5, 10] = 48434652531353637632
 
ngd[5, 11] = 442653447758685902333440
 
ngd[5, 12] = 2193926403656966182014648784
 
ngd[5, 13] = 7533637909732119150591465440768
 
ngd[5, 14] = 20123369757785284019444717300325120
 
ngd[5, 15] = 44695217969470082384326259497563336704
 
ngd[5, 16] = 86137800425007819027780354237927801330272
 
ngd[5, 17] = 148303960745546856590651801348327173189171200
 
ngd[5, 18] = 232922639638283471454534736346693738740073956352
 
ngd[5, 19] = 338934447340273683329801059409516818570181703800320
 
ngd[5, 20] = 462405757822305102135504806942496272113231189455356432
 
ngd[5, 21] = 596996093645740494667989570070457301413602892061279433216
 
ngd[5, 22] = 734820844329047539641434904351329233802053352384581599952640
 
ngd[5, 23] = 867491307910191263733667711193827098644003900378425439750443520
 
ngd[5, 24] = 
    987121105800511467506372509233109396748343206510680828902562560216
 
ngd[5, 25] = 
    1087139823846707670085096661111070104553693009846253116089126273486336
 
ngd[5, 26] = 
    1162825251637467784548925891751261734124479419576569385632564706067389184
 
ngd[5, 27] = 
    1211533586774444153503900963346696481276422998568138878305848638099729711\
616
 
ngd[5, 28] = 1232659416930889864883261102389127696938635929106008515259991820\
886813086841056
 
ngd[5, 29] = 1227389194290900308445983713030985839919803405659310864755175257\
127433436931579392
 
ngd[5, 30] = 1198324236698873533078478468810086406228400616966980826307668369\
352501184086646922240
 
ngd[5, 31] = 1149046386134994849613334776243047817003526337189381708210910690\
935436534822118436657152
 
ngd[5, 32] = 1083686866938485039359132915238182532537734999327836716515501682\
781120165968720181337798304
 
ngd[5, 33] = 1006541809769227527681228919076569277405432506306359153776979280\
746390022377815072011055829504
 
ngd[5, 34] = 9217603840019643275481083949615551059245686683047404557860039396\
10085599703258204444760919308288
 
ngd[5, 35] = 8331161466955932508836482402587708566472702769191585846605043633\
14917017435291201657737256084206592
 
ngd[5, 36] = 7438604110832275383875762480728538387805726030886526844496039966\
15234214970176459135233117883240530432
 
ngd[5, 37] = 6566484989214764354763519198313582696580396619650595005865157837\
62761462935629648272395069635914056113664
 
ngd[5, 38] = 5735253426115340693235115756686744756061960337018301645110295643\
18803465301954085320344563576693507988163840
 
ngd[5, 39] = 4959553617183541941465908278198629850352373909817502756330642251\
97216376679546431246721453915102446258475302400
 
ngd[5, 40] = 4248820510805394700254894954030663922967428247857114891227151761\
95082089261972947259473492883493126750996192093608
 
ngd[5, 41] = 3608045181513999738084600838812775892109535799749004511229965921\
45612646635900365131049407383238121585953112484560384
 
ngd[5, 42] = 3038606545812201724362225862307800094045304412419456321706730323\
34376545854192631567669656341336643598318405977353668608
 
ngd[5, 43] = 2539092397091387932822754132434676054936159111752201038583087207\
21761979429094968306964241848320919786260537331908356615680
 
ngd[5, 44] = 2106057278775873808850399954694141734820754362270951968877726495\
77128248495127810268369641501084393171181591363882324148466416
 
ngd[6, 1] = 0
 
ngd[6, 2] = 0
 
ngd[6, 3] = 0
 
ngd[6, 4] = 0
 
ngd[6, 5] = 0
 
ngd[6, 6] = 0
 
ngd[6, 7] = 7680
 
ngd[6, 8] = -8285120
 
ngd[6, 9] = -4031209095680
 
ngd[6, 10] = 58145371356641920
 
ngd[6, 11] = 5363151002241638731776
 
ngd[6, 12] = 70176026452836640577432736
 
ngd[6, 13] = 470341017533009063030847169280
 
ngd[6, 14] = 2109954313837948473146681443308416
 
ngd[6, 15] = 7174085213059516241509454684866630656
 
ngd[6, 16] = 19862285583286006150763369057271645139952
 
ngd[6, 17] = 46890675470863405745876943496972140541312000
 
ngd[6, 18] = 97437839527103399242692695968318328792107358336
 
ngd[6, 19] = 182352497529751093317737133138735092453381763880704
 
ngd[6, 20] = 312674637872413144391497478905323481515931085397982688
 
ngd[6, 21] = 497745796932783786157847560198868502791970450489846727680
 
ngd[6, 22] = 743315731023548538339429364821926824801949401961386946973056
 
ngd[6, 23] = 1050057714954359347915394032458949242416409051272322410734202112
 
ngd[6, 24] = 
    1412798610000843476665022798621027485111230974090923905995838966368
 
ngd[6, 25] = 
    1820599643133829992110109895860432478854168033339372837001427720672000
 
ngd[6, 26] = 
    2257644522199273816166305881693933938702839867748724946230816314993489024
 
ngd[6, 27] = 
    2704747619949981484237331725881588257047664142949769188414312350396126449\
408
 
ngd[6, 28] = 3141211322156443879858423178418108529349143884702501122890983710\
412447534793792
 
ngd[6, 29] = 3546742748109138900266111128926399003510657595103731866955835396\
854497446751211776
 
ngd[6, 30] = 3903175060715204749524536901777860468407468619077515550598219161\
418143489427188233856
 
ngd[6, 31] = 4195808414458528540499317620072334607080800095127351650842858054\
546679396176304519531520
 
ngd[6, 32] = 4414269595290528134301063622288695914997821076481566632557746237\
891719289710019027032889520
 
ngd[6, 33] = 4552870084701074107732391139256851138934100625914856429599464384\
847196618778663840241457787392
 
ngd[6, 34] = 4610507694590266503137054394442196277886040899021929281583738978\
595452963959722659865561392344064
 
ngd[6, 35] = 4590201150699193087261426775381792764447736372242252704995191016\
673024783568525721525606824070471936
 
ngd[6, 36] = 4498369272606870492724750702967578528196287956303183797301381253\
118574325236613580911842463843280026624
 
ngd[6, 37] = 4343969545889196464214540870364920596803673538873172391458379705\
181641639461383318833413301777602249177856
 
ngd[6, 38] = 4137599724460207480536102290609462697357607967753759251639331164\
017348989251431437577413725656232570536524160
 
ngd[6, 39] = 3890646033958098848634815733506576852461198983313013347879009499\
069519355504287280508549272155139741032731706624
 
ngd[6, 40] = 3614537540613019295925194878272894949326374573310737702917948794\
379454027770514134400790528657603275267667433631232
 
ngd[6, 41] = 3320142267485603527546043787382301445174408443788668727152252418\
896338365520322521153021698515788142664969939122350848
 
ngd[6, 42] = 3017319415369566189813920445214010548738227571822234899500546464\
617417430620947757819113664659410209855302017197629345792
 
ngd[6, 43] = 2714625122623580200090752423470955308085069635854646491308051727\
750543419620065479728625491132580804370990437863584218366208
 
ngd[6, 44] = 2419157125243803614940886859537469405984142605735496210484839857\
859895040421854198723826398534258775280736520154291698661192352
 
ngd[7, 1] = 0
 
ngd[7, 2] = 0
 
ngd[7, 3] = 0
 
ngd[7, 4] = 0
 
ngd[7, 5] = 0
 
ngd[7, 6] = 0
 
ngd[7, 7] = 0
 
ngd[7, 8] = 67208
 
ngd[7, 9] = 370290688
 
ngd[7, 10] = -344741538150784
 
ngd[7, 11] = 7667678262612813824
 
ngd[7, 12] = 905925070060306432814712
 
ngd[7, 13] = 15439000630118622230140884480
 
ngd[7, 14] = 132132439138956083343969762203904
 
ngd[7, 15] = 742745891327829234748168444263563776
 
ngd[7, 16] = 3111790032754203162728209855615174203616
 
ngd[7, 17] = 10460057852054316219513795932110657175174144
 
ngd[7, 18] = 29594448546511258059365643862976700781394135296
 
ngd[7, 19] = 72860153769520348438272402103451919491544421952000
 
ngd[7, 20] = 159917259715238088177499394293778069029858026418134424
 
ngd[7, 21] = 318682752717876978728812542326181104601993252446866075136
 
ngd[7, 22] = 584824259453126098582710039523253135730222739352830147455488
 
ngd[7, 23] = 999454399192687578972874269827535076325821070146925865242305024
 
ngd[7, 24] = 
    1605081034614568828104949482062809193968327106779127949278696151240
 
ngd[7, 25] = 
    2440296448265895882644397185266047756007085043965401460717152194021376
 
ngd[7, 26] = 
    3534014626963592784235849890632274518036813052020916101458817188042362112
 
ngd[7, 27] = 
    4900207447280576942223704911821542737933703088298395057467967706190884804\
096
 
ngd[7, 28] = 6534023854055855675041615601232247928532356560693075798186443969\
313960313154256
 
ngd[7, 29] = 8409933438776429808174404270725474145851863960854416984145182561\
022763618624721920
 
ngd[7, 30] = 1048218693231749667331079989238698696832343957436767925655489691\
0156211822939194603520
 
ngd[7, 31] = 1268751373534059557826030959784242606795678623070146244374870660\
5037521082962206064716800
 
ngd[7, 32] = 1494965441383557458121415417974358476704393215475993005014680664\
5501405455138846793782862240
 
ngd[7, 33] = 1718510443739150130562543452258685407489324894486159508203843651\
7195800416008840426405934555136
 
ngd[7, 34] = 1930934601112758212790569162911264392374036073979227846938413270\
1195891718130336948340966485560576
 
ngd[7, 35] = 2124286295758367205165456769005990376861400559980384125463027910\
9221568269748578666000700718033778688
 
ngd[7, 36] = 2291634534053200941881910651705876148326688480075544542116907472\
5595041079322446670935983165480772025344
 
ngd[7, 37] = 2427466179129219744035089327053724789376075658794814922879612515\
9508202280556105018577894878975811534645760
 
ngd[7, 38] = 2527937245941321872891970381845262804066056093533310401128607961\
2025692447524620065122163825789142775058694912
 
ngd[7, 39] = 2590974297577019835017904640810460121270688160997020577159491423\
7681273239836808133985628040190014958187175506432
 
ngd[7, 40] = 2616237701592864212390959683670413339000885216656804852324075991\
4186068796379776138932740622483508485644846638202232
 
ngd[7, 41] = 2604969889851480794633231211852302001323138794497628337100976983\
6699620582104046105048640718540377747227989579487333888
 
ngd[7, 42] = 2559758408039826624813307574011706032640187641904601303240844366\
4343978301210373287554756346629059062351757811796233976320
 
ngd[7, 43] = 2484245749650654546546730142513875999588248469741785545462648589\
8781231670308161767622487732935235443084694905877339506227200
 
ngd[7, 44] = 2382816526959144321995030936283390207899990207889830428143400007\
6671519224668792020660879454608120124129797855398486033040909672
 
ngd[8, 1] = 0
 
ngd[8, 2] = 0
 
ngd[8, 3] = 0
 
ngd[8, 4] = 0
 
ngd[8, 5] = 0
 
ngd[8, 6] = 0
 
ngd[8, 7] = 0
 
ngd[8, 8] = 1520
 
ngd[8, 9] = -2270720
 
ngd[8, 10] = 528559731712
 
ngd[8, 11] = -33258365080451840
 
ngd[8, 12] = 2174064721051297036352
 
ngd[8, 13] = 225137914296555974772379136
 
ngd[8, 14] = 4614542984622713101006185109632
 
ngd[8, 15] = 48018626504568251363965642388948224
 
ngd[8, 16] = 326237026434154217055873284132494551536
 
ngd[8, 17] = 1636826418579065208734315554706752771779840
 
ngd[8, 18] = 6526023322758268191407948483079714714896528256
 
ngd[8, 19] = 21698900634185748004291034180744092422754705807872
 
ngd[8, 20] = 62243834829877861988575219168869867682275156521637376
 
ngd[8, 21] = 157922300767013190131395062597074349657173279618173393152
 
ngd[8, 22] = 361159558646479252821357405816575147303955625696672893529600
 
ngd[8, 23] = 755570531308824133500152646371366628661089448249827694416066048
 
ngd[8, 24] = 
    1463119434810577331373102913944603431779972072540852256595745406064
 
ngd[8, 25] = 
    2647622639807803421495808121879478814689674922258297111543971552820224
 
ngd[8, 26] = 
    4512462816153551239783387084174002228120490754009530709471785599328997120
 
ngd[8, 27] = 
    7291131017154179689396862423271860293031574797852884599365357578999653106\
688
 
ngd[8, 28] = 1123041794929417210876766997330026286917865101458451367308060325\
8297448688449920
 
ngd[8, 29] = 1656746930816353458683289364883807703147693632758941073797748508\
9089664784104251648
 
ngd[8, 30] = 2350318514291414734258478963421818748625939887095156110150159191\
9373599418314672706048
 
ngd[8, 31] = 3217530041568997543629226534765974672237053588132246674459813118\
1213250127191480247759360
 
ngd[8, 32] = 4263475986805178072858254269644943383306626883668056694407156279\
1026278071797334587049118288
 
ngd[8, 33] = 5482865834510314077393852331091593583295236533887677810476599553\
6233954041730518960777637264896
 
ngd[8, 34] = 6859215036200933964170564424331360309922423775566500221227436808\
9702041862602256968538514423297024
 
ngd[8, 35] = 8365052502574755874057233211296619540056932259249896256540410421\
1849947787283638131905743803275922944
 
ngd[8, 36] = 9963132136749494099653362640869401275635479126720060377193354292\
3912361145736871778070557713308249491136
 
ngd[8, 37] = 1160851431451065074856007168313202847645536727837359873074655640\
84972922200803386993926667976428637875178752
 
ngd[8, 38] = 1325128923229237766512765826194538414735131973489507377630042458\
35231656047294615988202632995508111448800032256
 
ngd[8, 39] = 1483965785085638917977041668674991213002030119652557458403168866\
67270349063445156262236953254630654110752728934912
 
ngd[8, 40] = 1632307055494084721943818827775799302594848609881757656675022853\
40502812624015235064095421710417043199472479918073136
 
ngd[8, 41] = 1765514498643677540893718799815667213916285427265789061345937344\
74199172890904975583723878774595404821737493939452487168
 
ngd[8, 42] = 1879613455654571836833324806928453334198513740500253627345883504\
71514710959287930013848140227203362149943957571712513515648
 
ngd[8, 43] = 1971478724658034044751845123636136184969305349106147854656817222\
76242911126059808671061065919429855291202760361758403825133568
 
ngd[8, 44] = 2038950944440958685383683297167528826656562714455239235840102652\
88807531466925637385500369357235051485134215205163789842831399936
 
ngd[9, 1] = 0
 
ngd[9, 2] = 0
 
ngd[9, 3] = 0
 
ngd[9, 4] = 0
 
ngd[9, 5] = 0
 
ngd[9, 6] = 0
 
ngd[9, 7] = 0
 
ngd[9, 8] = 15
 
ngd[9, 9] = -25600
 
ngd[9, 10] = 117390080
 
ngd[9, 11] = 163217721434624
 
ngd[9, 12] = -3518383441532323264
 
ngd[9, 13] = 908639701613609567558144
 
ngd[9, 14] = 78698821670247649780111937536
 
ngd[9, 15] = 1828865901911017178058230844884480
 
ngd[9, 16] = 22228015061831248756573125248076821240
 
ngd[9, 17] = 177010861942829898140394416265729940179968
 
ngd[9, 18] = 1037631541859717444677960937038470553929021440
 
ngd[9, 19] = 4807268185066636609380783741211903552676936909312
 
ngd[9, 20] = 18460229012094891722168894635186294576263213210729712
 
ngd[9, 21] = 60779526501162189907169393411326113693004592113313462784
 
ngd[9, 22] = 175939382514936669484290734870881737806787730991686199907072
 
ngd[9, 23] = 456464203629220137163073104458049798089538307610056619996114944
 
ngd[9, 24] = 
    1077578712388352946144245531463795635197326663353914105286191524315
 
ngd[9, 25] = 
    2342876189761542465046784641467518990424469823530936919889108702785536
 
ngd[9, 26] = 
    4738009673423585335688408548263333007210162416970874057844697297088443392
 
ngd[9, 27] = 
    8985361512901454006196147008097628848983218620441191008387361689576299257\
344
 
ngd[9, 28] = 1608932936408542751215391816495417171080122633678789940614721178\
5754368194715120
 
ngd[9, 29] = 2736002578751724727863050856242047095145813070162177317846386210\
9028603472823735808
 
ngd[9, 30] = 4440363162194486147841946752567990618700425369918549324172904313\
7572472227004717302528
 
ngd[9, 31] = 6907067878302640769137117989494014572873642924871547495130260041\
9510836557237682206365696
 
ngd[9, 32] = 1033588584427749339106273911492113349186896177018639380096168921\
87275848544445332283947203136
 
ngd[9, 33] = 1492736899913114418354958299527121547848041342603767848081960051\
76791790982406662544281026337792
 
ngd[9, 34] = 2086573267167757199444681413218129056231841650045669002030102614\
31798278109624269144001603230417920
 
ngd[9, 35] = 2830016301673763018322146384642337355867601727538903113077628943\
41080003134954406542518460162654913024
 
ngd[9, 36] = 3732653458480601166236981627582839340260610990921499251059163378\
26323595358656498343160507175343211794272
 
ngd[9, 37] = 4797161127409205958446349521065681375528796082680871585444761778\
50670260295882098238285576499950164796329984
 
ngd[9, 38] = 6018160164974669529331770715612634472093511054283056151407683820\
01146898462602194947665893147008458240499091968
 
ngd[9, 39] = 7381648333598013019736467118855106515680063367679360132946027364\
84853684282819056022128450097410279691932217298432
 
ngd[9, 40] = 8865087787393683192718883700598710956456043202951024975376934330\
26529640521637255999936679840850009067941917403042061
 
ngd[9, 41] = 1043815454395397600887317672731404285662988219116153893820235914\
300652680423732366116696321352001361590118945174182364160
 
ngd[9, 42] = 1206408791008415127561461085058152339465346750938704108504954314\
032831925027387250402228180010281948235800514354743053132288
 
ngd[9, 43] = 1370151981168320101350196141808436583924717740448660394332498249\
802659550669790547526110388602361755849029627107894056964270592
 
ngd[9, 44] = 1530662312574326365467977603383389842311835229611484504112370185\
600303078161527908353982228050517089576226709939009915094949858512
 
ngd[10, 1] = 0
 
ngd[10, 2] = 0
 
ngd[10, 3] = 0
 
ngd[10, 4] = 0
 
ngd[10, 5] = 0
 
ngd[10, 6] = 0
 
ngd[10, 7] = 0
 
ngd[10, 8] = 0
 
ngd[10, 9] = 0
 
ngd[10, 10] = 1384320
 
ngd[10, 11] = -109083434240
 
ngd[10, 12] = 35703522158995136
 
ngd[10, 13] = -41172810739074649344
 
ngd[10, 14] = 490502089188893685326520576
 
ngd[10, 15] = 37066656865736532177222476928512
 
ngd[10, 16] = 937975086609286565645771190152457456
 
ngd[10, 17] = 12895792372728001988273394076674916547584
 
ngd[10, 18] = 117321559405198147677980308497070192430533888
 
ngd[10, 19] = 786651594711262326873219252442133281826413135872
 
ngd[10, 20] = 4159665848419324263286431800280127762554317394992736
 
ngd[10, 21] = 18165707735278031920541013159105804593803804181320061184
 
ngd[10, 22] = 67733871109297806120563657035776262687818726917890661219712
 
ngd[10, 23] = 221077116260222485385822277033223871704124437828140218758615040
 
ngd[10, 24] = 
    643913829274004978921838589396554893717716554483895587012095544992
 
ngd[10, 25] = 
    1699311184926282865855403189622502391495731394640940008951548117772800
 
ngd[10, 26] = 
    4113535696626480766180924849377470919395510817640083237557575745575505152
 
ngd[10, 27] = 
    9226334643202721297901966292817113358981586433986056600955115179950409349\
376
 
ngd[10, 28] = 193352741005821710459079279827984912435623802810574693441260735\
42113346093425952
 
ngd[10, 29] = 381273111742732045052735713333310506820030349962078672038677998\
84980893018563675904
 
ngd[10, 30] = 711679854490198757621144844466188303670643799045044470295201749\
12101885474955877179264
 
ngd[10, 31] = 126393088626471454393214959288152853545856259477349136765663486\
218255575201052879028723712
 
ngd[10, 32] = 214524783947195162909588046037470446918276154917286462624388787\
818954306734677668800123764896
 
ngd[10, 33] = 349319857670909193821828371441521608552823059024599932611701075\
121741287037577331158072359307776
 
ngd[10, 34] = 547557156166013516071907923369189174360396691070684735373205154\
738130212590960456610651011086951424
 
ngd[10, 35] = 828687089752541971132920040443648531991504769756446065136380684\
359475823059287030236917188966691960320
 
ngd[10, 36] = 121409802743832224808830605454799498079804421940004960030305867\
2119042164377814028625699901256069697641344
 
ngd[10, 37] = 172599884944973269670032182701842049409169532953658387404789154\
8148557672943886273030147310279350788248121344
 
ngd[10, 38] = 238596759198333961476447805442799201355270294558543719142974315\
3689675997388664940428881746881811269797246697728
 
ngd[10, 39] = 321326527142255667437071111078918049858603022764849495998355154\
2900900191759681149399600101222429414300721483512064
 
ngd[10, 40] = 422305388177312042226341542490156781091765243099046099782513501\
2286075885207539431117790577564731932095068333322866048
 
ngd[10, 41] = 542468190693059102217579672812197357382446791458749480885604046\
1403877659268833491041025156614403774272821028425551110144
 
ngd[10, 42] = 682020564777064438595555147967487264797420542588666078912420288\
6882489400969168854580023737296469955219419704137246183162752
 
ngd[10, 43] = 840329941806135880502499981876664831347561742452703905656995934\
2262715807371274024643059922816869151135472802109946965469735168
 
ngd[10, 44] = 101586743740441562425995012536924211850528195633334048230712321\
44738276479287803111585892536526876203677946698564337482308664144352
 
ngd[11, 1] = 0
 
ngd[11, 2] = 0
 
ngd[11, 3] = 0
 
ngd[11, 4] = 0
 
ngd[11, 5] = 0
 
ngd[11, 6] = 0
 
ngd[11, 7] = 0
 
ngd[11, 8] = 0
 
ngd[11, 9] = 0
 
ngd[11, 10] = 0
 
ngd[11, 11] = -160005120
 
ngd[11, 12] = -145360041245120
 
ngd[11, 13] = 7348193809405705728
 
ngd[11, 14] = 616263536150127106605952
 
ngd[11, 15] = 331947481180887134559866659328
 
ngd[11, 16] = 22688770756080067541999671708614192
 
ngd[11, 17] = 608513185702470443812777625862566621696
 
ngd[11, 18] = 9229315022860803341015053771986546040219392
 
ngd[11, 19] = 93905523962103338948499844418095935062475437568
 
ngd[11, 20] = 707280766720050655808059655218279150655804847791992
 
ngd[11, 21] = 4202534888808169090161486553959182762020490355484576768
 
ngd[11, 22] = 20589859432703004041601979849742118718607674225008473417088
 
ngd[11, 23] = 85909532471288685253328996968191683883502854196817101063133696
 
ngd[11, 24] = 
    312822071671112122111773822196039233417615339425441848567411537056
 
ngd[11, 25] = 
    1013205258153161538232367230931404622426876414875144340287466580006400
 
ngd[11, 26] = 
    2963712885068406421516563296924291077230165535490325121768170376929847040
 
ngd[11, 27] = 
    7926218336916327554567171422956102182931089974241642121583020237103675720\
192
 
ngd[11, 28] = 195793842731776380338167228970554248948674835394452101940627884\
34969659226288728
 
ngd[11, 29] = 450525769685880643097255814800353332060795464121558813815580913\
38815171477931430912
 
ngd[11, 30] = 972612653489314745187127559714931376228855626693181696810358091\
42547233375874690463488
 
ngd[11, 31] = 198204952705318367659352166412720446381353206583594402181346367\
197747046128360912077239296
 
ngd[11, 32] = 383290141865078567775047053271830198771165929812687065258160685\
595650598814674845021041544480
 
ngd[11, 33] = 706578108127661443511079899195282399852524648678620136437926469\
983710854215971582924577250226688
 
ngd[11, 34] = 124664196137415355120429380620226744797927112074298546251704281\
7926628743962469156257047457043377664
 
ngd[11, 35] = 211247779012380147216551064360090894087662913491645868453104882\
1317210633160838979492161709800408650240
 
ngd[11, 36] = 344869219866691532734592685649632226455432281736800016294548088\
1077904490981711452123857982164773785661776
 
ngd[11, 37] = 543903113030266689546848623444290155499650590355386280022273199\
2787455233327402334926964191321596375032280064
 
ngd[11, 38] = 830726689172172118711468845133470206586778512927559571515097774\
9524781058173800006213946159456241596060096728064
 
ngd[11, 39] = 123145526398343165343441557571734745304958179217497243330996205\
72690147839440046601325717370990167868933802454285312
 
ngd[11, 40] = 177525957763948265237161143297939012065561030896496171440750909\
70151739904559163850499734730696895835977429617995144512
 
ngd[11, 41] = 249323780146005092652942666218269227836909612110124049683843515\
14456076627363898175396953951619014433260257129493710568448
 
ngd[11, 42] = 341686205184267523231793017133710047562980208171826717028474742\
65296965608919660430299028808391180249921921422882791328131072
 
ngd[11, 43] = 457606993529470005992365478983432353362114961064205904559162646\
27054874249736383862034686213029646568855828228280901584173110784
 
ngd[11, 44] = 599711923754495550652293138777243031369193908785572615560000821\
30908602591609715478987336267194332029377025608845657911585352410056
 
ngd[12, 1] = 0
 
ngd[12, 2] = 0
 
ngd[12, 3] = 0
 
ngd[12, 4] = 0
 
ngd[12, 5] = 0
 
ngd[12, 6] = 0
 
ngd[12, 7] = 0
 
ngd[12, 8] = 0
 
ngd[12, 9] = 0
 
ngd[12, 10] = 0
 
ngd[12, 11] = -46080
 
ngd[12, 12] = 49221875968
 
ngd[12, 13] = -66987966894745344
 
ngd[12, 14] = 1598394306473055588864
 
ngd[12, 15] = 960643976366364946042798592
 
ngd[12, 16] = 277459689611336585874153926361120
 
ngd[12, 17] = 17530729644556432220604035615211318272
 
ngd[12, 18] = 489266902131129708924302052223845425329536
 
ngd[12, 19] = 8027674581574652384591463059923403448039917312
 
ngd[12, 20] = 89759698994235755612417511740441398824180016433472
 
ngd[12, 21] = 747801647082401113282826766645106785711962114427062016
 
ngd[12, 22] = 4925683070975350712319106680249432083460813712482756399616
 
ngd[12, 23] = 26751890849831269698174557243650480586952220039207104661265920
 
ngd[12, 24] = 
    123579503786940263960446933795819888956288248527106382077683677344
 
ngd[12, 25] = 
    497248486163983843762713937186144867725579927363009000388092814018560
 
ngd[12, 26] = 
    1775636775470930244557311341752176393241872625820361239569943271046028672
 
ngd[12, 27] = 
    5712212908564936742797783782827960646498917589189288800114770141488708877\
056
 
ngd[12, 28] = 167589075167060881432840080391584869297014890195477696177916348\
93203410306389760
 
ngd[12, 29] = 452989420040105992781733819192619701144162923619387660063383669\
53191039095326301952
 
ngd[12, 30] = 113771107022923131356415589480896769997500096913858838200458296\
203296654217960991326208
 
ngd[12, 31] = 267433893945348663503971809736381707930045256715405353590397885\
463071980036875893997258240
 
ngd[12, 32] = 592010455803666774223430928231498796100663805267294656787304023\
166115806999907299270679967680
 
ngd[12, 33] = 124077142341999973791603831439576400412590446760687513558797303\
9945081602948531344199528367901184
 
ngd[12, 34] = 247356211841191198798048834376818428560806073006921169727527583\
3469593909819013238247060620820461056
 
ngd[12, 35] = 470967376082154020484047119202254014269992926152046631934467537\
4229631682000702391854291848133749209600
 
ngd[12, 36] = 859515719688255705265084688950507702908888123041699064713150291\
9796062770306070671787305162752410479681152
 
ngd[12, 37] = 150831516334536632693963455730500343236991466203983493637962431\
04361858801977078561589083015952474990214792960
 
ngd[12, 38] = 255231676049670579606229657162524367339203212383605611312694187\
42815472637788939036502544553116271076959472940928
 
ngd[12, 39] = 417523039766449831926489228651016073418240088467342882844736375\
06376575750303045075835585027870220806595008515331584
 
ngd[12, 40] = 661785165074171351898416967265163084081334563838129878621172087\
14811417846196453933457307051197515169943386766645622400
 
ngd[12, 41] = 101843798696155689302075724772574514885552390952294308444796894\
900886717513875928165474825744872390179655489531300913546240
 
ngd[12, 42] = 152453993152729856860735853569668478863059410722260382347839266\
871815135149428954611927765896832312084698108543943873021438848
 
ngd[12, 43] = 222362337135217495309218066015582041605262228893466651400910971\
166889414357663647025136407085612650396502815673707655510459065344
 
ngd[12, 44] = 316495990054981609761531864492371832272720038308291790269903215\
397037358426817374675559982403163279842550865299378692169653062202688
 
ngd[13, 1] = 0
 
ngd[13, 2] = 0
 
ngd[13, 3] = 0
 
ngd[13, 4] = 0
 
ngd[13, 5] = 0
 
ngd[13, 6] = 0
 
ngd[13, 7] = 0
 
ngd[13, 8] = 0
 
ngd[13, 9] = 0
 
ngd[13, 10] = 0
 
ngd[13, 11] = 0
 
ngd[13, 12] = 208486080
 
ngd[13, 13] = 272915443716096
 
ngd[13, 14] = -23865579694881086464
 
ngd[13, 15] = 857535720154565291059200
 
ngd[13, 16] = 1409670715533438460305133106264
 
ngd[13, 17] = 282182745771993650645801398277189120
 
ngd[13, 18] = 16699520751372748777202553893973768304896
 
ngd[13, 19] = 478857023934611015240552822336353336755356672
 
ngd[13, 20] = 8370528439797631369666959136042464261049470193920
 
ngd[13, 21] = 101375566805795758365158571972297079036786144498371072
 
ngd[13, 22] = 922054735111503082049672632351323411842910234475888891648
 
ngd[13, 23] = 6654208423448807424349307588568963513997128932509608903304192
 
ngd[13, 24] = 
    39641751827077009066188784283807994406337241324960040115117863900
 
ngd[13, 25] = 
    200829616491800961590791708470030588748750052315886167731212900187136
 
ngd[13, 26] = 
    885320855080982042146550967834327655035616898827362083974807805262025216
 
ngd[13, 27] = 
    3458443971618361349501407408038724652619459934929021157165523402694074438\
144
 
ngd[13, 28] = 121495744818067812424505687589766480592045720649878306113850886\
02812538891718800
 
ngd[13, 29] = 388503386330018255715657464349500252688588058104316355733566404\
87399008148552367616
 
ngd[13, 30] = 114224311109631302009302396186361793135531443473732944005540991\
113884926361290657710336
 
ngd[13, 31] = 311416854561898087271227802484881103648954634962293820113423211\
227065198765207924846256128
 
ngd[13, 32] = 793028104250683376176153350294628672547972541579642681881476954\
021594462587910151750997838336
 
ngd[13, 33] = 189801481921118959084011249328063908803403854650650808522347238\
5795056835943022748448992973422592
 
ngd[13, 34] = 429255713426663167120424382159925740267121692201157368889012557\
1755537134678195923746444355101712896
 
ngd[13, 35] = 921681600258864411046090318569417074950167873595814908580559714\
6638767895461047098163474567177162814464
 
ngd[13, 36] = 188663717212456563227639296086000758214897169173372289594894572\
05557517137664075688553386214399822206547552
 
ngd[13, 37] = 369507805944847459873435884339359621662234466180705163421822687\
44295991387702621935742683832588931925070540288
 
ngd[13, 38] = 694695309965886805099933432132368049703157602430249030340757055\
24077359469158966607750670492822647115088674182912
 
ngd[13, 39] = 125735211960128450105296390939243323884036726983822059100117897\
937797564678704053528305505807568509442161367539967488
 
ngd[13, 40] = 219653106904140808126643963624480701209374252419278597930287028\
926242686687040411833052260724454985898119272345167469324
 
ngd[13, 41] = 371235206994922059683997904693327852925491122810642223521906381\
543353598051167040490491190557213108948078860509241914786304
 
ngd[13, 42] = 608286173217114306949989223232987041337944473419340272487177407\
699139506052870483081000683546668416404866298418633013487019008
 
ngd[13, 43] = 968152534239105851857086928157657352381880260577336601187744809\
315829098206920434793272644133984598578675902507648104965570543104
 
ngd[13, 44] = 149937981945877272374012007374233094290771848530326058001850690\
4948128778864542600614078242175797780588125384053540309971734790987072
 
ngd[14, 1] = 0
 
ngd[14, 2] = 0
 
ngd[14, 3] = 0
 
ngd[14, 4] = 0
 
ngd[14, 5] = 0
 
ngd[14, 6] = 0
 
ngd[14, 7] = 0
 
ngd[14, 8] = 0
 
ngd[14, 9] = 0
 
ngd[14, 10] = 0
 
ngd[14, 11] = 0
 
ngd[14, 12] = -12096
 
ngd[14, 13] = -160179161088
 
ngd[14, 14] = 225862550085624064
 
ngd[14, 15] = -7777691753680095099392
 
ngd[14, 16] = 2230120118528751020008917296
 
ngd[14, 17] = 2225199533709669331200537108549376
 
ngd[14, 18] = 343988161820469946757063933496831726336
 
ngd[14, 19] = 19234618138136146543861964254101642424703232
 
ngd[14, 20] = 561587275428481902725874602822242176226109729600
 
ngd[14, 21] = 10333545965395919592341128956769188872449597659634688
 
ngd[14, 22] = 133947635382969221990957549296301072648957844457025735808
 
ngd[14, 23] = 1315357752213867677291939879626675141922386796319554365908736
 
ngd[14, 24] = 
    10294852327501565718136144806311008647336388095422329984799570976
 
ngd[14, 25] = 
    66652619178287449247860563523443781749300748419265332995732518835712
 
ngd[14, 26] = 
    367204213899121169404656886859440566656042486610024343475822952680072192
 
ngd[14, 27] = 
    1759871200442153916015642062674273969581620262565783310575099691366919429\
376
 
ngd[14, 28] = 746792915967476349125241366395466050772315392566605399171523589\
3911132287908896
 
ngd[14, 29] = 284644908677173881979304209616764269856905572199131861441430717\
44598760565043502336
 
ngd[14, 30] = 986158901497414354836360130789369358083507383048664149408905306\
64375407315848688220800
 
ngd[14, 31] = 313652715051072333279837505275387891906815053786369611628771262\
068581962477070523610910208
 
ngd[14, 32] = 923565132273610936164496593795586365611788437668861987902924676\
037392254022100892524814246848
 
ngd[14, 33] = 253589268983434259562001037166512633957259733225809570566566449\
3553033300253022966622710086279424
 
ngd[14, 34] = 653338519400487687908015702642566085595249184013281590089009694\
5814088607531589268672200996504622080
 
ngd[14, 35] = 158794836684231298141394054851982094409789799991767231139466435\
05139428488845843059070607379333302512384
 
ngd[14, 36] = 365830108774319846989054203833897318660023494943174176294410677\
66616224347621893721240057145410149473106560
 
ngd[14, 37] = 802189269714446386254906992025666282033439595845965274142008156\
85460995326563680091286720938090116303388203264
 
ngd[14, 38] = 168047177440301939283633274561493732899467555201189019189196183\
304325736247909343832603337054817843608168607137920
 
ngd[14, 39] = 337418843426538461745401161294359375223097758766839111195688925\
565518519054468569149799804173476455454013705384242688
 
ngd[14, 40] = 651279331222546862440153521629303026339476492121910837149679587\
979162994593705259083774273041472079188750685791047524320
 
ngd[14, 41] = 121163379558743309476610242179129827318300155525808210239891326\
9558335927498649846087073418521232298537552458687811631279872
 
ngd[14, 42] = 217778637070124716279196291488428168078382119420541930149105989\
2144320780344998117014048617069492737531121314196561989168914688
 
ngd[14, 43] = 378995953380817312846351763070054371097673846576838198864798048\
3082533141544664116217649050254070125641294977276684527915390672896
 
ngd[14, 44] = 639851115016802850103920198841737869056380290010375333683456352\
7019127564321058052072351921211888960893478863486452536645431619049088
 
ngd[15, 1] = 0
 
ngd[15, 2] = 0
 
ngd[15, 3] = 0
 
ngd[15, 4] = 0
 
ngd[15, 5] = 0
 
ngd[15, 6] = 0
 
ngd[15, 7] = 0
 
ngd[15, 8] = 0
 
ngd[15, 9] = 0
 
ngd[15, 10] = 0
 
ngd[15, 11] = 0
 
ngd[15, 12] = -96
 
ngd[15, 13] = -223475712
 
ngd[15, 14] = -1047846937829632
 
ngd[15, 15] = 127646494545599075328
 
ngd[15, 16] = -2002364996905067125456800
 
ngd[15, 17] = 7034048172283275123960323574784
 
ngd[15, 18] = 3901431225862556013027805075057270656
 
ngd[15, 19] = 495658331945467652169992382616277777216000
 
ngd[15, 20] = 26355571363487126434304196641646090513680352544
 
ngd[15, 21] = 778410667161936795960085238720938567238716101283328
 
ngd[15, 22] = 14934765556707438421816597768946022377442545615251016576
 
ngd[15, 23] = 205162901772432625105455954707272294448449924132007822733312
 
ngd[15, 24] = 2154660501708211006549953942268793257206079273266928652172856656
 
ngd[15, 25] = 
    18128115530577059428137962255882726393395161192097338925425027806208
 
ngd[15, 26] = 
    126515619923171301223870823420887802553082751919266020111634550464767488
 
ngd[15, 27] = 
    7522891509868733615894535966972716371047696525413937028417514879132469048\
32
 
ngd[15, 28] = 389271369240233465176360069652741015473581561674486680215854982\
5848179410311032
 
ngd[15, 29] = 178295677724221843885053920350948498284479805948129244880968997\
25048834673806661120
 
ngd[15, 30] = 733008994947196687167242616970632231776165156164125821736026426\
00327665851252737547648
 
ngd[15, 31] = 273650449796614524971102624727210283078986153381390483692531548\
543764699167563482470809088
 
ngd[15, 32] = 936790634109338990794262175270157041340710256070881344218186363\
131317989330822686100682607776
 
ngd[15, 33] = 296521974082530441057971455301445883776734858426455333353965532\
4845271867683628038872713638415360
 
ngd[15, 34] = 874053753509799480688083209244087491655360308567795339707492822\
5340563188887401467266800965395400576
 
ngd[15, 35] = 241418037466216127558907850402251090563012934957473032764208507\
75364539388405528774315693042284370117632
 
ngd[15, 36] = 628191807911174358468261433367113588090147008234322391420398408\
79463789978810581736766943013319793630922512
 
ngd[15, 37] = 154725172219565448895198862412571272568883458500849365737812529\
249132467392786480664134198947135301822650624000
 
ngd[15, 38] = 362235542643630442327184009188201154549208575734372828714688796\
407296218237204596458497802519984597353663168503296
 
ngd[15, 39] = 809085592824228805083232233283524418356131546029270484579291105\
152789440995424645998838489515929813648673384607935488
 
ngd[15, 40] = 172985478643290134947608595850658733093347997025826207361318975\
9689422702117804387154451026672175323614866194225934781344
 
ngd[15, 41] = 355079837762351614478782862560071977541594721954812673933518098\
5065343968493615350318638272868347153400291671468675229911040
 
ngd[15, 42] = 701623552882467041422680269759762077588752071563490369701588722\
3332183183498773313402452171020390970769916854181554088401852928
 
ngd[15, 43] = 133780472283861590854339539808672988739370248075818659271438783\
62096076177647598022843496270615896323572159382311774663337625307648
 
ngd[15, 44] = 246684883418468101725925872499223080204321301312279386309803733\
62180368362208629649578353699853679763249430490922134842736696935258336
 
ngd[16, 1] = 0
 
ngd[16, 2] = 0
 
ngd[16, 3] = 0
 
ngd[16, 4] = 0
 
ngd[16, 5] = 0
 
ngd[16, 6] = 0
 
ngd[16, 7] = 0
 
ngd[16, 8] = 0
 
ngd[16, 9] = 0
 
ngd[16, 10] = 0
 
ngd[16, 11] = 0
 
ngd[16, 12] = 0
 
ngd[16, 13] = -61440
 
ngd[16, 14] = 1228486889728
 
ngd[16, 15] = -1347584096462615040
 
ngd[16, 16] = 61173729604793767584976
 
ngd[16, 17] = 5288282259894283746311605760
 
ngd[16, 18] = 21309851986957176450775276846752512
 
ngd[16, 19] = 7669936165645361541872034769548764451584
 
ngd[16, 20] = 833750849575242350667793194735529525486481920
 
ngd[16, 21] = 42371472331238970676050983174103157095218155019776
 
ngd[16, 22] = 1259940065381312435275463820022877495587203509713102848
 
ngd[16, 23] = 25015454943377360029806433692402964110602041536665783378688
 
ngd[16, 24] = 361208757764763659105499771744350244238470363431555558741144608
 
ngd[16, 25] = 
    4024377602219182063670087444622441646277830023400016870529869518080
 
ngd[16, 26] = 
    36118761392372848246790524950472899759432263938677803645987360642141568
 
ngd[16, 27] = 
    2697694449878563693141342408149996857913753058430870824823214437239091102\
72
 
ngd[16, 28] = 171978349680170924057543733735575122561728502530870656395615566\
0962906275145216
 
ngd[16, 29] = 954846112900464288778333110377206046868592306412089277459311494\
7364397427018850816
 
ngd[16, 30] = 469333586782110034967159652030701260811862097825749882813341044\
30136978285050225547008
 
ngd[16, 31] = 207006533345982071067225609112754202068818364418248776365053670\
116985537732283827844336384
 
ngd[16, 32] = 828600967021005387466242989461553619904564627307863737623859683\
152227088702619452102432667040
 
ngd[16, 33] = 303889144711913996906587345090060236588135240369085847723223184\
7471581009042788715557731917584896
 
ngd[16, 34] = 102953069646918567621653184406196832182804040002259869066059441\
32197461702324963452385069247604031232
 
ngd[16, 35] = 324470414006251771492115454978765592293591168332974684402508551\
52846048332891480205102609245904365961472
 
ngd[16, 36] = 957148619296009586866197309914514208284407187162036581776136320\
20534369861265361156444795486246791073572672
 
ngd[16, 37] = 265691136463641628248957902213237411424539262324501543478630356\
332206134021493854003660140965109728426075745536
 
ngd[16, 38] = 697293422097821676561444612235236980182583583342402182386656486\
779113483954214112257054862067508010120763694476544
 
ngd[16, 39] = 173743334228433129972297337626166215024892620475922179278915812\
3011897000717955377844740414124090139531269223564539904
 
ngd[16, 40] = 412542837517872911205907997240738315839593354408682508925967770\
9170652580127927761980399753196803116349332989223847066496
 
ngd[16, 41] = 936574035124793670153126020661068169270706149404815043920667323\
1097691318377616233118258195340621135023221689726240136848896
 
ngd[16, 42] = 203903359543926332039752571381414548103294483101377947903920334\
53671875805333275083863396281517420138577059958773822354213017344
 
ngd[16, 43] = 426860209927323628431540149195320437014929017070712531532282804\
55599348229287639608768891770240070025819057429224968667251799779840
 
ngd[16, 44] = 861360508421778692683561040698988978884083302606241274266699011\
45674926514332823625008552879787929765482628776609440059311841250258496
 
ngd[17, 1] = 0
 
ngd[17, 2] = 0
 
ngd[17, 3] = 0
 
ngd[17, 4] = 0
 
ngd[17, 5] = 0
 
ngd[17, 6] = 0
 
ngd[17, 7] = 0
 
ngd[17, 8] = 0
 
ngd[17, 9] = 0
 
ngd[17, 10] = 0
 
ngd[17, 11] = 0
 
ngd[17, 12] = 0
 
ngd[17, 13] = 0
 
ngd[17, 14] = 175162624
 
ngd[17, 15] = 7742999973263360
 
ngd[17, 16] = -1103269601691227381903
 
ngd[17, 17] = 27727339455381813248250368
 
ngd[17, 18] = 44806609612374989465499558508288
 
ngd[17, 19] = 64986881287676638364937704972357687808
 
ngd[17, 20] = 16930126087788772910239751777061684620028512
 
ngd[17, 21] = 1619344926694810600641373460302456002142865433088
 
ngd[17, 22] = 78984188462902626581175706357855202260820305429481728
 
ngd[17, 23] = 2356358757818302005812889825909464047689779651400144148992
 
ngd[17, 24] = 48120472558358305176330811278777735282803136326006427842013394
 
ngd[17, 25] = 
    725359531967627647113925911148330966908021409940166927208915856896
 
ngd[17, 26] = 
    8514314193080048774985001906135196367993741739172635734121292652303616
 
ngd[17, 27] = 
    8097239312315994186767195578650106936018152926541764315888061454393884620\
8
 
ngd[17, 28] = 643140025977146582369560196204516771376661898327504818557239044\
814599612656256
 
ngd[17, 29] = 436948919424864112721610495168654628942017088729806309943276509\
7932137851569147392
 
ngd[17, 30] = 258851139771424897363305803232748397499073690667442654477389225\
48255565100975185974528
 
ngd[17, 31] = 135826249655477757867791134177118449182664308949148638045601510\
763059718267948862121383424
 
ngd[17, 32] = 639578149856764795083755574100839764995524259200643672292475428\
747755643741392496332816871992
 
ngd[17, 33] = 273237688722762424290487785864624894138566684329303751570259048\
0173964701660629911986102885192704
 
ngd[17, 34] = 106898531014083402643562368626705146989334007153288498355323040\
40532822629716889866425586484003853312
 
ngd[17, 35] = 386064987447724255744881328411194554914715922215078246016962696\
62664570732415661901587475275599392066560
 
ngd[17, 36] = 129602353436364120517596880015608755350556660856522907048876453\
285447644014807534830186085156661632032355984
 
ngd[17, 37] = 406865258039007107526010542102526248580361649884256716741503923\
677169999084552166787110261072629402506787387904
 
ngd[17, 38] = 120081150572501290570479597524468839834553404748429885349166883\
0219100805275808226703845750085393793758741618441472
 
ngd[17, 39] = 334747989486465222989111191215469097150722678686856899645419513\
9717366878233529595315065966918284897408461724233105920
 
ngd[17, 40] = 885084562297156310260163072409871517639920704552032579620814755\
5412879175910260583215337688683028139402283023720790696778
 
ngd[17, 41] = 222784918728847323572940364929883171499542072383895043227965503\
55413572533370227255713772219604583868706237679240474888571904
 
ngd[17, 42] = 535629999073249736610153327815245154911475056999173149300898999\
59845101218518476629952681656867474051012562614204712379420465920
 
ngd[17, 43] = 123373493806790540614337505884261092473074997140691071067623204\
937734230538100657242555512210911649294815160447017062962635048020992
 
ngd[17, 44] = 272980298914408236404428606825960148500026811047345633571887227\
375402224345776906199934196000147877068783328034973851369605284902395568
 
ngd[18, 1] = 0
 
ngd[18, 2] = 0
 
ngd[18, 3] = 0
 
ngd[18, 4] = 0
 
ngd[18, 5] = 0
 
ngd[18, 6] = 0
 
ngd[18, 7] = 0
 
ngd[18, 8] = 0
 
ngd[18, 9] = 0
 
ngd[18, 10] = 0
 
ngd[18, 11] = 0
 
ngd[18, 12] = 0
 
ngd[18, 13] = 0
 
ngd[18, 14] = 2491776
 
ngd[18, 15] = -16165844458240
 
ngd[18, 16] = 13570779790358824512
 
ngd[18, 17] = -729809115953488813469696
 
ngd[18, 18] = 35432957571953137831303081984
 
ngd[18, 19] = 262645641827559114851275835428786432
 
ngd[18, 20] = 206624015632082650558560867046536315318720
 
ngd[18, 21] = 41872092543972455287314625032208001377061880576
 
ngd[18, 22] = 3596696848852625240493741894609444665479192684632448
 
ngd[18, 23] = 168971240944603704392117973596138055108938109973784221696
 
ngd[18, 24] = 5044536117034157281492173715617020398156977723358520236786400
 
ngd[18, 25] = 
    105440509711914683399948762004991671080465287787741443680023750400
 
ngd[18, 26] = 
    1649715116864404493564065820221985612532361153360048611983426448752640
 
ngd[18, 27] = 
    2028063100426542739772217574991551633039255521383446255133512371442579148\
8
 
ngd[18, 28] = 203181143766607225990027360945509678589106407045979987402297732\
392022566780608
 
ngd[18, 29] = 170655245958307311727697622718507808051765792356541216144225558\
7534866173196861696
 
ngd[18, 30] = 122904846741400046394506902298544817913962742981412648345243056\
12450288303373740236288
 
ngd[18, 31] = 772959531523850434216191669628067107267679795731520235183671572\
64513487234964514168813312
 
ngd[18, 32] = 430935099640090533016027655160179369287391067159897198883710392\
934136196239586970429801235280
 
ngd[18, 33] = 215669182653393715784698446865077331474010966593761216469273380\
0661103390775059310715571507449856
 
ngd[18, 34] = 979254312557856105819996413450996746656951528830976436168452986\
5647194398441274900884525427207233536
 
ngd[18, 35] = 407072134933704091309533944233054146053210289734047236219426544\
83794395467693937249058570901073065069568
 
ngd[18, 36] = 156138139648502491031648959416926881200020410846664133950230323\
746620127895476509152089641599956378675979424
 
ngd[18, 37] = 556360424571677955955220846541744480143722953718750780570106532\
738540878369390963838325197059552436267070286592
 
ngd[18, 38] = 185264532785807482968120804469867607873293717304749417886583427\
8545996139242757015545602539762375862819987895319296
 
ngd[18, 39] = 579546532654984530394576630229910069213470234073124146532064477\
1994439037087588045096531361281751400644970999570326784
 
ngd[18, 40] = 171102255623782838882732166722661967155958056737403929379362101\
91151260358682490679598559322140295310462033485830664079488
 
ngd[18, 41] = 478724115035747958976464840802366501761568396671223756361067450\
55543550016825022957684181172173233451779209928004615346991616
 
ngd[18, 42] = 127402787611092276715360649305916668860202642099555573385299153\
174299410771326701820831438308397250557016422915464237167344500352
 
ngd[18, 43] = 323575675582519474537791131684512450950825189364904839628889296\
584897170822969805647746688083544067982357698262224348927280389387264
 
ngd[18, 44] = 786637120760550731857491650316333625429559136008776496152323497\
603477183681667874180618031466083241830970358678685981320978292460655264
 
ngd[19, 1] = 0
 
ngd[19, 2] = 0
 
ngd[19, 3] = 0
 
ngd[19, 4] = 0
 
ngd[19, 5] = 0
 
ngd[19, 6] = 0
 
ngd[19, 7] = 0
 
ngd[19, 8] = 0
 
ngd[19, 9] = 0
 
ngd[19, 10] = 0
 
ngd[19, 11] = 0
 
ngd[19, 12] = 0
 
ngd[19, 13] = 0
 
ngd[19, 14] = 0
 
ngd[19, 15] = 1220514304
 
ngd[19, 16] = -100182180672661240
 
ngd[19, 17] = 14917529608415962001920
 
ngd[19, 18] = -431097315175963287848025984
 
ngd[19, 19] = 405755921676911039041672775509504
 
ngd[19, 20] = 1381992277202326678330952861036171114752
 
ngd[19, 21] = 698044600350105677839809814281390014425040384
 
ngd[19, 22] = 115621104077376058053643216641353701450155602155520
 
ngd[19, 23] = 9058159102360213590070551698647635243504835868792998400
 
ngd[19, 24] = 411144817352329296678797536493465905934012836305344822982720
 
ngd[19, 25] = 
    12259834605481681297988403002440232834897524478934140245915894272
 
ngd[19, 26] = 
    261237032912809377220063712916001492608843229004442528387179654939264
 
ngd[19, 27] = 
    4221934210371420813667555835935583564254351126557030039888969830861478400
 
ngd[19, 28] = 
    5408009250883843927483311755685598417026919244718026811113390539194104193\
0112
 
ngd[19, 29] = 567847206476882346673379540957820786596798339658034186929630108\
670839590062792192
 
ngd[19, 30] = 501847723687972764617057549341823863741489153417955886501810899\
8519083032934924015872
 
ngd[19, 31] = 381302096453874313901498887978385708991465130042317287539683374\
57204090677467413141396992
 
ngd[19, 32] = 253424120111385523751449974237049165045762629820636590087064909\
568215275208967314482169467776
 
ngd[19, 33] = 149468478046905509799182034965881700073487457436022570153767281\
9236323724952039533770955291610112
 
ngd[19, 34] = 791805226749071267512981035214621414189301448954273630443213360\
5266918033844310905457622379021415680
 
ngd[19, 35] = 380635996165450649570138434463705044000435119873226926416716419\
83204339332985630653023834618920180380672
 
ngd[19, 36] = 167512314833771490666510355080161550342097448969642596157747000\
324769736653805127511052538333198288919659416
 
ngd[19, 37] = 680043590043199742650442545804973356889347025937230839591996401\
195235818236904461870825821696059638125714161664
 
ngd[19, 38] = 256368028329311962304369768249759912467807863908656486460921040\
6818995411490235449645423755887924950241296791503104
 
ngd[19, 39] = 902733744463853063348054095731210960502062211638171504444171821\
2452412005197800236632088585048569670361989580874676224
 
ngd[19, 40] = 298442083198978839690687466268791439925699340148841768150340223\
87833256580114257834055881678330954738882976661859000727248
 
ngd[19, 41] = 930573384756471753328757947428762250272873959342783894409122447\
90098724345022062855840138218925165041841402893594966798853120
 
ngd[19, 42] = 274791684860488691532581219897295173265585827669604487529751897\
672263125208054522945039818601672244903485031007012197900000411392
 
ngd[19, 43] = 771272709698623714490730571910178936827986870075721916586976320\
438660697647434186453634674567679600088370101409826051571178133698560
 
ngd[19, 44] = 206440321181704553499876915938417063845699818210278037242138048\
8969352225722563713972417549736860998305729855813340903584318666466116824
 
ngd[20, 1] = 0
 
ngd[20, 2] = 0
 
ngd[20, 3] = 0
 
ngd[20, 4] = 0
 
ngd[20, 5] = 0
 
ngd[20, 6] = 0
 
ngd[20, 7] = 0
 
ngd[20, 8] = 0
 
ngd[20, 9] = 0
 
ngd[20, 10] = 0
 
ngd[20, 11] = 0
 
ngd[20, 12] = 0
 
ngd[20, 13] = 0
 
ngd[20, 14] = 0
 
ngd[20, 15] = -4428800
 
ngd[20, 16] = 341194684288608
 
ngd[20, 17] = -219345167688227505408
 
ngd[20, 18] = 12886110686696842222450304
 
ngd[20, 19] = -108296977568466137846348571136
 
ngd[20, 20] = 4402112709886577904026658886157304512
 
ngd[20, 21] = 7032611686029386461914807235827685983580672
 
ngd[20, 22] = 2530476171525927563456412313961542083226139566720
 
ngd[20, 23] = 354976136899447892871790940519921084232014233222441216
 
ngd[20, 24] = 25673305973511939501670986757133205589328230397347658122048
 
ngd[20, 25] = 1128900246478809050364411587906166223655819854467003447078404096
 
ngd[20, 26] = 
    33575112722593905983583015535943911499415110789337923894769592487808
 
ngd[20, 27] = 
    726963835410454355272522357753928112319480925646840179499024003423536640
 
ngd[20, 28] = 
    1208605587545888407610687374159705684710466902240652650095528473091623293\
8368
 
ngd[20, 29] = 160598721740293995138514175392344655794693014900184441171986130\
578127936202732800
 
ngd[20, 30] = 175945064230650445407590643865459848120915830564281436400510455\
6750321161454176974848
 
ngd[20, 31] = 162892115313551133220317868992133388743375245667995606776626441\
50541356674056813209634048
 
ngd[20, 32] = 130011988316673262489226054204296717314112298160668072086394754\
313160338960454562832746076928
 
ngd[20, 33] = 909423914371785661717299861856923108889724312246557889735324246\
554703271777636691288702067649536
 
ngd[20, 34] = 565209114222762849666028784878632703154981448646032722992037226\
9786308418057905994182731731380090368
 
ngd[20, 35] = 315753261968589405858949441957983673835316033733937884012866895\
39314796779125410379588617486272416925440
 
ngd[20, 36] = 160133570827407467300068374055727750663678651935837297393212225\
077162107759304792690290971152363248112262464
 
ngd[20, 37] = 743563306241112605521462483376877255087639245524289836135233910\
131678113319579863327859659969708381799551800064
 
ngd[20, 38] = 318473357076202724812247030601316226791291486284269834639213209\
1090039430550257269086633108285530512140523142448128
 
ngd[20, 39] = 126637970000150814926730905740710372677553594409946843181818211\
27724400445618459156551886338279536342663069207908709120
 
ngd[20, 40] = 470186684280746779201708891654234359488026869394389574505796384\
29722396037128987559022012699874662506750639430062350019488
 
ngd[20, 41] = 163828255026111259874028134754016723313379189602231011019532356\
197326292400693197613792315727458893936980086560821851408324864
 
ngd[20, 42] = 538115191093870033693729295551016807574509306292738974296751610\
731002474733537978241317070860967459845574204242127217797354738816
 
ngd[20, 43] = 167293716072415246263298031290950435398714272988238371464983733\
3234852431154878517399232879439607519788521524280083863187173022514176
 
ngd[20, 44] = 494054162509780967846088935693557293538004959649636059766713188\
9693027832040190695435590547344675504805694562750634548986058409511750976
 
ngd[21, 1] = 0
 
ngd[21, 2] = 0
 
ngd[21, 3] = 0
 
ngd[21, 4] = 0
 
ngd[21, 5] = 0
 
ngd[21, 6] = 0
 
ngd[21, 7] = 0
 
ngd[21, 8] = 0
 
ngd[21, 9] = 0
 
ngd[21, 10] = 0
 
ngd[21, 11] = 0
 
ngd[21, 12] = 0
 
ngd[21, 13] = 0
 
ngd[21, 14] = 0
 
ngd[21, 15] = -56320
 
ngd[21, 16] = -231113426452
 
ngd[21, 17] = 2113192106085084672
 
ngd[21, 18] = -303333797213714195456512
 
ngd[21, 19] = 9726177997601600608834576384
 
ngd[21, 20] = 5037918367486917460339728045449536
 
ngd[21, 21] = 39067708536909612738192121153836257606656
 
ngd[21, 22] = 35976156749935592792224754246344527052605586688
 
ngd[21, 23] = 9890549475782448603440403910661585045859607070382080
 
ngd[21, 24] = 1206567497891035815838899671743388941294761176803653060292
 
ngd[21, 25] = 81343626426967942148506568231629572131969455607897401022775296
 
ngd[21, 26] = 
    3473392687512665709228801656908004249711839485224824802398118620928
 
ngd[21, 27] = 
    102929720882795898823114054385954778102458446229580653605521135878606848
 
ngd[21, 28] = 
    2258468076350896479718212240781794788177633290017426808751409459631507373\
440
 
ngd[21, 29] = 384916664612748347055239979502344525132441249191031119206987918\
58044148727926784
 
ngd[21, 30] = 528552187444258537977314315876641936026918036310497740863700226\
693418539802045251072
 
ngd[21, 31] = 601791352061380367579621594002579896127562819556481566458035127\
0739840557114254494889472
 
ngd[21, 32] = 581353815097750245899744596489169823845367209490267327755485753\
00933510296571083882216477744
 
ngd[21, 33] = 485553913677955663310419107451730470252771645495686358899468223\
367796742017630861874952090694656
 
ngd[21, 34] = 356129097321724084994955172709018702518865190134205622697331763\
3350470436961143223423258452876430848
 
ngd[21, 35] = 232401005646169518542577087141650450781826693172908428993587555\
87015453882629151835217946239357863699968
 
ngd[21, 36] = 136445938207115617164363938656663059879592919871979618169785994\
828285176322652049108366605325899065848673536
 
ngd[21, 37] = 727645906017793142280388885329885035190424659084513506608571674\
930832795895163896741994725009327415386041547264
 
ngd[21, 38] = 355388136842785165539668049561648788162946687614328754523226309\
7751909036010857181207454209966003500506274148846080
 
ngd[21, 39] = 160116588347148823303616982590865102945387592654189833538735903\
60579900711083356688809391565391064187726675545298319872
 
ngd[21, 40] = 669677529029543199311350331563990749070083935372036574058918019\
70712022281672686592534738122134860307120119452200903406320
 
ngd[21, 41] = 261466609176829534805065311916100819047338398756598822935331400\
418437290911985713760253847897689788544472994998894557515035136
 
ngd[21, 42] = 957727468665080064173277923789899469464509707118390990867996518\
479237358063869288131418364919053820281043829452858004170648224000
 
ngd[21, 43] = 330571864322003397752313179895823459707181182953201419705989881\
2196443622835960360171526106554035725270707100137521001247685773371904
 
ngd[21, 44] = 107947540397202459993503211214693377086774682743517004116127736\
51850188254968130813549081087822494120434360580908589476266236171995533392
 
ngd[22, 1] = 0
 
ngd[22, 2] = 0
 
ngd[22, 3] = 0
 
ngd[22, 4] = 0
 
ngd[22, 5] = 0
 
ngd[22, 6] = 0
 
ngd[22, 7] = 0
 
ngd[22, 8] = 0
 
ngd[22, 9] = 0
 
ngd[22, 10] = 0
 
ngd[22, 11] = 0
 
ngd[22, 12] = 0
 
ngd[22, 13] = 0
 
ngd[22, 14] = 0
 
ngd[22, 15] = 0
 
ngd[22, 16] = -30323216
 
ngd[22, 17] = -11254527777976576
 
ngd[22, 18] = 5386438255832296473984
 
ngd[22, 19] = -326854068696999023186242560
 
ngd[22, 20] = 7912293136543819724863367094528
 
ngd[22, 21] = 103613525546407926238109556318302593024
 
ngd[22, 22] = 311944898568133876998690708510364760924163584
 
ngd[22, 23] = 189190851039965943235554009136385785245259099134976
 
ngd[22, 24] = 41762186417326605979735131332315178989719111373659475232
 
ngd[22, 25] = 4521335265383171938611686976002558444492860164215760616030464
 
ngd[22, 26] = 
    286395319238990320611608588960452929307898112083809428544240254720
 
ngd[22, 27] = 
    11900825801197766520286033500912455141739005119604618783706231320123392
 
ngd[22, 28] = 
    3511268559374265237788426878013914260803510792845095744480633064033216187\
52
 
ngd[22, 29] = 779021392518629315734873458285075686028928260580449909537156511\
4753779643268608
 
ngd[22, 30] = 135703018977774112329751963692432497227863790303880005390625362\
174645429316929066240
 
ngd[22, 31] = 191920696146699142326028471004012863454293402037136459991088142\
3646212509568913384346624
 
ngd[22, 32] = 226300831839173064733756124153302681304595658290694958872858970\
50193187609671577826369324960
 
ngd[22, 33] = 227313669586658481464089954148925691476635983556780950638050423\
301305426457423943719141784590336
 
ngd[22, 34] = 197984253917504271406527847498582787635679187463014037955154196\
6885308198814661701900630708378671104
 
ngd[22, 35] = 151747510430552925067292168215637749433221913570197359295076253\
58891201116070423398112824172652392122624
 
ngd[22, 36] = 103638951815706564083790751935372416004347765847717754214611885\
402383404989300703888719663869446434636180672
 
ngd[22, 37] = 637480527310651449474347077685467941946110816342862131795222757\
369787290295411374098978765890917687534619610368
 
ngd[22, 38] = 356405947265074598960306536524953214990796166141832613757322696\
9536565066596609707831843936959059503560665151522816
 
ngd[22, 39] = 182568134745594784897151068476107461964278252607626971979058059\
50857051344069374707595378653003605748362628582384573184
 
ngd[22, 40] = 862862941718246415832504635903344483976311887220641628594668582\
99488921019833004733530004784130191471672330948917169530400
 
ngd[22, 41] = 378589440387029518801795579391321435202650502999796485548199812\
162390039046094676348748858472381027614385460549351176351467776
 
ngd[22, 42] = 155050521403321499659349578852099802325413793661695986375782894\
6169660514797210642507638633918646622456385682892198947796010752512
 
ngd[22, 43] = 595614579899028449112223964017941329371294271115854109419262030\
4295955397921918542041498306837140825820740221647116812966767798968832
 
ngd[22, 44] = 215542314235221414468408400817267389659454931096702478883922566\
31781639782485700490365738723985675523640254511996871409454760081111952480
 
ngd[23, 1] = 0
 
ngd[23, 2] = 0
 
ngd[23, 3] = 0
 
ngd[23, 4] = 0
 
ngd[23, 5] = 0
 
ngd[23, 6] = 0
 
ngd[23, 7] = 0
 
ngd[23, 8] = 0
 
ngd[23, 9] = 0
 
ngd[23, 10] = 0
 
ngd[23, 11] = 0
 
ngd[23, 12] = 0
 
ngd[23, 13] = 0
 
ngd[23, 14] = 0
 
ngd[23, 15] = 0
 
ngd[23, 16] = 286784
 
ngd[23, 17] = 22238429571584
 
ngd[23, 18] = -67449236600379752704
 
ngd[23, 19] = 8928593167159684136697856
 
ngd[23, 20] = -304082290147027357681347082208
 
ngd[23, 21] = 104840962142485585120302654358488064
 
ngd[23, 22] = 1507366304192184879564910634778224498852096
 
ngd[23, 23] = 2374603335856259464079596287654332656055307934208
 
ngd[23, 24] = 1036514686756638823309155796090727648307639684795206568
 
ngd[23, 25] = 190554660480835318117083469664068356602405413883178467517952
 
ngd[23, 26] = 
    18603375246987287230768811358779190717576298610100196191169787776
 
ngd[23, 27] = 
    1114479447638796613116636782238052177764849946038222325305309363194368
 
ngd[23, 28] = 
    4515353416673991251180557242685524213767590862926314798133634204020206752\
0
 
ngd[23, 29] = 132570339972827590434235905286257590839636859960098028575917326\
5130872142031360
 
ngd[23, 30] = 296852799964513178829410579671948868076320092655948339015070519\
01006812650938152064
 
ngd[23, 31] = 527179647082080482016543552092220241947365237586286221485233768\
736251762367489004110336
 
ngd[23, 32] = 765654088598822734565312268371913124699128714783796898386175088\
9613999537641354620847761472
 
ngd[23, 33] = 932094900228307438221219649987992425481571065053937325806277425\
95919935729609527806227300573696
 
ngd[23, 34] = 970462214403836683234359161945069625107249736822434540218073595\
610667536109856238162119607670598272
 
ngd[23, 35] = 878686907018382816177099891358523022645322653148867633550042806\
5596440507547306807607704571281719026176
 
ngd[23, 36] = 701640427080065664103658962059631622927725953989099128663235646\
52939338667001146513506493787918343507790464
 
ngd[23, 37] = 500026106048361817123460879834283969498728977292336874078142002\
413712455019290212237663718288727952984809342464
 
ngd[23, 38] = 321297120924443716750969928331491733436408848531362477512997586\
0355614596572387821130741157069000276323077907989888
 
ngd[23, 39] = 187801288671804200773001483282203241776102370979294828426311591\
94105177742199334696166335063473896214208122099011842048
 
ngd[23, 40] = 100627878379066677983430570480301092983538652726384759755193556\
817122001021365715222790464780893776989770887126282344609880
 
ngd[23, 41] = 497632016911604268828611089646063982654530736202482417504351619\
584454223850261567045279992937567998907647030614390594833657344
 
ngd[23, 42] = 228490577651406784096126814507688202993495538601456344249424697\
4906730504774272160228683116406933443842028015369871959338964141184
 
ngd[23, 43] = 979282928582349075252487088263483220838347122778784534466881202\
8829778919756844297110878812232730798103128637569866264856691256361472
 
ngd[23, 44] = 393632371939495524069766783624434246422649372996762178968752375\
25181625844404845519553107039769731229801881365761400081743520319904374072
 
ngd[24, 1] = 0
 
ngd[24, 2] = 0
 
ngd[24, 3] = 0
 
ngd[24, 4] = 0
 
ngd[24, 5] = 0
 
ngd[24, 6] = 0
 
ngd[24, 7] = 0
 
ngd[24, 8] = 0
 
ngd[24, 9] = 0
 
ngd[24, 10] = 0
 
ngd[24, 11] = 0
 
ngd[24, 12] = 0
 
ngd[24, 13] = 0
 
ngd[24, 14] = 0
 
ngd[24, 15] = 0
 
ngd[24, 16] = 7408
 
ngd[24, 17] = -1685727232
 
ngd[24, 18] = 532866120855300736
 
ngd[24, 19] = -191710827200971303254528
 
ngd[24, 20] = 11560597382980970833837003136
 
ngd[24, 21] = -244579940827702435229779651032576
 
ngd[24, 22] = 3521456346974584265668994291323265921408
 
ngd[24, 23] = 18401299204142796642195798318906688915941173504
 
ngd[24, 24] = 17839462583578895405681799712369603864583374732065136
 
ngd[24, 25] = 5964291784778925965709294944456078618560765044773176372224
 
ngd[24, 26] = 938938752372945663594681648552730337490121322825360437168781312
 
ngd[24, 27] = 
    83727481384564086362075283916716923872651818568675669337879739658240
 
ngd[24, 28] = 
    4770135649919419636245816600401232614907766257299616725668893623099998272
 
ngd[24, 29] = 188757177693098766230377849507446437999137241288681199793555742\
399106536654592
 
ngd[24, 30] = 551269405897234207825027238931121812391983094541216604323144307\
4930701080837332992
 
ngd[24, 31] = 124393529573960828156778999676347360260542090785554370636184131\
725587102097916905382400
 
ngd[24, 32] = 224717134571644965943376473196331175825277401209183511721648822\
8036618261972611028614567008
 
ngd[24, 33] = 334301662199141637283829397870707118184174560730193814847983220\
42892276854930925566345509121024
 
ngd[24, 34] = 419021784333972521066590993783443343325225922030915757520188420\
902741196085611815393223095056247680
 
ngd[24, 35] = 450930549436187817316133720819015593946050323548570677553441165\
0788101703635395375953150113715508585472
 
ngd[24, 36] = 423241859176949725193047416596425081690119286405087466238547038\
98536154859032761259476721468128497958098240
 
ngd[24, 37] = 351113428768262061396757336744469439312841832475356280135202088\
519080483656474726637022578250699093582991385344
 
ngd[24, 38] = 260386300248662811173090881299575194124219144917171113957452760\
7810733095700035886101533110117566455916701050532608
 
ngd[24, 39] = 174322077662553204345198764642850525387746904325989023996040087\
13411665422510974418672609900877541137122682366079490560
 
ngd[24, 40] = 106254029172775601073309127303223298323215508297093327104151047\
162917100572669926129900750051879381274088747478110334284144
 
ngd[24, 41] = 594062329851186505699571900809260240887899244238580731020752790\
123459610785456857774897511962188936584458974888785634616596480
 
ngd[24, 42] = 306663793645703814611265958828261499028239758743188327117169605\
8479646965617627969822253105199858847292927829789731452495418460288
 
ngd[24, 43] = 147015481475779636191291264503528638624551108113241180725833949\
56982369364784909114951533528605534451303240989980547366196641518567168
 
ngd[24, 44] = 657937389755400703414491238017828401446563318462290053567989074\
15788067485922246737816839138165733195226864681809479224967956369601398080
 
ngd[25, 1] = 0
 
ngd[25, 2] = 0
 
ngd[25, 3] = 0
 
ngd[25, 4] = 0
 
ngd[25, 5] = 0
 
ngd[25, 6] = 0
 
ngd[25, 7] = 0
 
ngd[25, 8] = 0
 
ngd[25, 9] = 0
 
ngd[25, 10] = 0
 
ngd[25, 11] = 0
 
ngd[25, 12] = 0
 
ngd[25, 13] = 0
 
ngd[25, 14] = 0
 
ngd[25, 15] = 0
 
ngd[25, 16] = 84
 
ngd[25, 17] = 5002240
 
ngd[25, 18] = -2136509421094912
 
ngd[25, 19] = 3083196785603204812288
 
ngd[25, 20] = -366970288024242670716920512
 
ngd[25, 21] = 12866783710642661630594881186816
 
ngd[25, 22] = 2792846770667126471598072777450268672
 
ngd[25, 23] = 80678361062620490144700236776234214956404736
 
ngd[25, 24] = 203913126603217115166197758193473234821579619050227
 
ngd[25, 25] = 135156401678867022707331921050145733776833250079358350848
 
ngd[25, 26] = 36221741393182923887732334831824608688966988651410660171118848
 
ngd[25, 27] = 
    4989955788558475802156319096320737392249184409499925249911301157376
 
ngd[25, 28] = 
    410711437191017275023039913282378511442485878918918772708736486519535104
 
ngd[25, 29] = 
    2235763355033239830480666270051380042402848329447968950654983126368372885\
0944
 
ngd[25, 30] = 865414275542782096074206133488001327245738600831514168156162034\
587281599736753664
 
ngd[25, 31] = 251351930320763434978934664567154521636823599346616532015112544\
08713444617932875448320
 
ngd[25, 32] = 570812070055134948610152989548571079150260963231102579421751804\
160293789777277523383514408
 
ngd[25, 33] = 104694781490392777963313084793556719014126903967296707711229321\
72515405061299249716154815364608
 
ngd[25, 34] = 159175478393199253526504284354793925249172927080281544599514097\
523599281073895400480613954466249728
 
ngd[25, 35] = 204919252027396264504213675006665386732398352469998388021254706\
6818155886921118222509873514166273836544
 
ngd[25, 36] = 227357795446305279392703666844850020067625772630599795626658016\
08297746584458088185787155657387824325767968
 
ngd[25, 37] = 220648596792142380388878410450850379978746158208318169002802814\
318329204994244520722357643330347094345826608640
 
ngd[25, 38] = 189685751192776756289042691455518126081537359027279547668585933\
4379924221552931944713354938004767658748042577538304
 
ngd[25, 39] = 146020289481025274903764593751631841980959430723333869504780145\
29552932355185903153866603025547204073609489027833712128
 
ngd[25, 40] = 101603535054635382849650539560516474994137639763625795211232307\
674256196392230028976751125284860616484276128449131365283511
 
ngd[25, 41] = 644280188976522717596659374323049283414377035880980359761461041\
937204527132627064442421424281209400649044004667212788432592896
 
ngd[25, 42] = 375001317911822680889330382532924027129550926178936175099685227\
5136818552003891215367131437260977467324409331756722610767649331712
 
ngd[25, 43] = 201624077551100932051070136744577576661439894391252635783458448\
84605426284785398078593476260084650286102505048335157861539998547220992
 
ngd[25, 44] = 100706276917080180838894696035280211947086876670755717926758763\
868184156397170805013666893677251414539068948698291244504924181050664512128
 
ngd[26, 1] = 0
 
ngd[26, 2] = 0
 
ngd[26, 3] = 0
 
ngd[26, 4] = 0
 
ngd[26, 5] = 0
 
ngd[26, 6] = 0
 
ngd[26, 7] = 0
 
ngd[26, 8] = 0
 
ngd[26, 9] = 0
 
ngd[26, 10] = 0
 
ngd[26, 11] = 0
 
ngd[26, 12] = 0
 
ngd[26, 13] = 0
 
ngd[26, 14] = 0
 
ngd[26, 15] = 0
 
ngd[26, 16] = 0
 
ngd[26, 17] = 71680
 
ngd[26, 18] = 2276356656640
 
ngd[26, 19] = -34518358254958067712
 
ngd[26, 20] = 9479185447891403606896256
 
ngd[26, 21] = -554602757601215414616226233088
 
ngd[26, 22] = 13347008546634938992907103716474880
 
ngd[26, 23] = 173962257456568256664862792109031890507520
 
ngd[26, 24] = 1460683732485191003139576765761357839819441613728
 
ngd[26, 25] = 2148106760772380484725401656349446643800907950578650368
 
ngd[26, 26] = 1047177177991244135622413344595635848497236361707119805651968
 
ngd[26, 27] = 
    232830482389034027571725876807351849352029138341184209241528660224
 
ngd[26, 28] = 
    28557214896906227722669441494794407594052804676502019819511079340101440
 
ngd[26, 29] = 
    2188459370493782490426122865968064257734606700458189100384021821304974973\
952
 
ngd[26, 30] = 114290739352245715775571963229247787327609861175209659861165755\
348339863703191936
 
ngd[26, 31] = 433355292115255474508325031517912471103038635649965728917320113\
2618558274071943950848
 
ngd[26, 32] = 125150673707920969382662712099383086138238608741537457993623603\
831810088354210947265370736
 
ngd[26, 33] = 285724828943785172796492816033015109099043786389251069597276132\
4338782628049259748355861785600
 
ngd[26, 34] = 531196031782665241940898129669139510927980894492342610388218078\
25844573676938746635092195244479232
 
ngd[26, 35] = 823739683030390476439761429598196351771708304167142443565778598\
287382868532250183610490504540700673792
 
ngd[26, 36] = 108681809535121451466123203179292183860504689311419550047649035\
91911591434287424293371321815241423504895360
 
ngd[26, 37] = 124035674534178950348664586230660520984062027638235569560340951\
494003200000976545469601879733192136860836830464
 
ngd[26, 38] = 124177299600371445648369139839916880301367732998857911161475493\
6320675551241945878437825364927268488033156033229312
 
ngd[26, 39] = 110367957589923246186432451703158333799194738653156069125532390\
29455583146325768353903260301987782253845031647069862912
 
ngd[26, 40] = 879901161748964408891464744271322587065950062244140476866477373\
56178630182644274792993225098949261020820996556743892841408
 
ngd[26, 41] = 634914016898463769616635199472432422166204429255893137612572929\
819513432838174563414253966445085826350277942321928337816000512
 
ngd[26, 42] = 417928603710518699232762141681695842906867899202517707883396348\
6750680805056610887806608030866760703853668326161537777042491271552
 
ngd[26, 43] = 252700972947982974477710241983052309323000702771258232449153834\
37882969895803250633384048857123229166616767609160457845779293799028480
 
ngd[26, 44] = 141221153100871671083400008463604334821477321859317768161102906\
708718194819157719519716941514911344546779006568581960916477831833619352320
 
ngd[27, 1] = 0
 
ngd[27, 2] = 0
 
ngd[27, 3] = 0
 
ngd[27, 4] = 0
 
ngd[27, 5] = 0
 
ngd[27, 6] = 0
 
ngd[27, 7] = 0
 
ngd[27, 8] = 0
 
ngd[27, 9] = 0
 
ngd[27, 10] = 0
 
ngd[27, 11] = 0
 
ngd[27, 12] = 0
 
ngd[27, 13] = 0
 
ngd[27, 14] = 0
 
ngd[27, 15] = 0
 
ngd[27, 16] = 0
 
ngd[27, 17] = 0
 
ngd[27, 18] = 230535424
 
ngd[27, 19] = 237665127702787584
 
ngd[27, 20] = -192461497536374863815664
 
ngd[27, 21] = 20409816437175361139649870336
 
ngd[27, 22] = -721572079108698069993938216496128
 
ngd[27, 23] = 153360387247443718329020322525927670784
 
ngd[27, 24] = 6034586369016407443478793439885986616137236816
 
ngd[27, 25] = 22987461315129310192237361985475509119416528078283264
 
ngd[27, 26] = 22148871865467010213537602618161613765765863108292250148736
 
ngd[27, 27] = 8374066311987414295131865114217111647158168883679655892284110336
 
ngd[27, 28] = 
    1586456148228053920369286116194979662768901419072075554783730215242048
 
ngd[27, 29] = 
    1756851615657451006241325945425547530253801182026610726385280540537908725\
76
 
ngd[27, 30] = 126272447061181278852505977984148008844540195185357235496734051\
15311920029883520
 
ngd[27, 31] = 634875324216055645681249437705750682419502777995687098343839822\
874600308777339449856
 
ngd[27, 32] = 236107787039254812467116683599208550741506692261284321810130862\
14674150027775787893000392
 
ngd[27, 33] = 677945887098413466686851576252137294971582128729092575866976703\
824003668775878529004971695616
 
ngd[27, 34] = 155458329251354425708980022358298407209156240266230061557919359\
18851213037764692649768220715592192
 
ngd[27, 35] = 292529413476710770859998063380536655888998617708417156433183546\
195268779447474444378253095157483318272
 
ngd[27, 36] = 461873449067152886026160434468732764589853736424297266550583739\
0724173162373007379569830813094781951398288
 
ngd[27, 37] = 623305848730530867282115112762902126421600275833627025713419296\
95693812921008700042307930903118336123179051520
 
ngd[27, 38] = 730228124103434761115585328310002840913962072760549459334193768\
651907147312935105686882028849927767587070829970176
 
ngd[27, 39] = 752561471493380763585287258740392879749314339008556566747531098\
6938640496723624032068742929495811167530309352265629184
 
ngd[27, 40] = 690063122046525235575791452456420744378549793525275608787288427\
65927214026224277106968665571721331120888079024918779338320
 
ngd[27, 41] = 568561340902398309832652072967974304954762964106131114052688286\
152912204954625297899267802180567826867785520400118249100921344
 
ngd[27, 42] = 424563794602462303621427668917504571203635665080051455139059042\
6920811415294749212743297869693970805336964161807499453112003396352
 
ngd[27, 43] = 289513946735190461598502360484031443399455679590425781750315967\
76797417834202631947404595990287933686311087561203109613965132941264384
 
ngd[27, 44] = 181493626986069717298583182152159820036074543881572363134267126\
419139400766632345389616427421475209972836677987965041288587665715647296256
 
ngd[28, 1] = 0
 
ngd[28, 2] = 0
 
ngd[28, 3] = 0
 
ngd[28, 4] = 0
 
ngd[28, 5] = 0
 
ngd[28, 6] = 0
 
ngd[28, 7] = 0
 
ngd[28, 8] = 0
 
ngd[28, 9] = 0
 
ngd[28, 10] = 0
 
ngd[28, 11] = 0
 
ngd[28, 12] = 0
 
ngd[28, 13] = 0
 
ngd[28, 14] = 0
 
ngd[28, 15] = 0
 
ngd[28, 16] = 0
 
ngd[28, 17] = 0
 
ngd[28, 18] = 4152960
 
ngd[28, 19] = -775389100867584
 
ngd[28, 20] = 2923981851603526802688
 
ngd[28, 21] = -629131822383663672512122112
 
ngd[28, 22] = 35193889764163330775539629716224
 
ngd[28, 23] = -836849062663153851487857941195037184
 
ngd[28, 24] = 12622689026329516946719205252357808117236576
 
ngd[28, 25] = 156832320428721135920012133285794413164884354834176
 
ngd[28, 26] = 332651092194720901842124943798309248291097552887593762432
 
ngd[28, 27] = 227881643271452240278720844571754576725680758955478113090264576
 
ngd[28, 28] = 
    69543856090437455319846820526142133735438165880515689693630651929344
 
ngd[28, 29] = 
    1146596970028759691699788337045670957860634457695049194356745566198497331\
2
 
ngd[28, 30] = 115973240469956493366478687374967147203434209684103920124610245\
8980950733227136
 
ngd[28, 31] = 786632667489387492534945755444301794583926525374478598177722195\
92847672378188894720
 
ngd[28, 32] = 381936001739658419169965384802498433265642382053954003238885400\
9434681035073297880874144
 
ngd[28, 33] = 139478189091029708634646445680359454830148032080570689947829134\
682005232751229434468065297920
 
ngd[28, 34] = 398176390835515318328013498481325789029613220968761279558382254\
6068575892594355329086120453091456
 
ngd[28, 35] = 916346938929143052574334196867080891884914128232845628865891718\
04647881389159183399496139880382124288
 
ngd[28, 36] = 174307658775066089378350538477383416998019314989186993791693105\
3845140477964878618641986363421629589085696
 
ngd[28, 37] = 279774475379419850039428402375027783071854743822444674334761728\
07997696394258814920427004260110871309842366976
 
ngd[28, 38] = 385509989158506854999943000236062323437572904152071896469255503\
840690020747955099126105145223548739070943574525952
 
ngd[28, 39] = 462754528320362886333015262464545765383279635824337005973006440\
0547145712616549396164554518485764597471947198521290496
 
ngd[28, 40] = 489989949345418750339543243017903920401689257547855643601349453\
34244182562027227972509388771132916074811544598733869304384
 
ngd[28, 41] = 462632647692266152620605306433398175434367854667104950097950861\
784110885867637944666740365874771613843439706072831497563790336
 
ngd[28, 42] = 393170113925239707785019702895753173046305210939802503727718494\
7706448587029902414605492637693920393725251374782122991277149939200
 
ngd[28, 43] = 303248157790229839112888797513018553706888534232400647635391011\
40604094941175165671870411901242325921730465869627040424076094323237376
 
ngd[28, 44] = 213818825364433250488520378829403241509241522740990355758703575\
246809246220234520815913300333573816293629491350082541665920917372978692544
 
ngd[29, 1] = 0
 
ngd[29, 2] = 0
 
ngd[29, 3] = 0
 
ngd[29, 4] = 0
 
ngd[29, 5] = 0
 
ngd[29, 6] = 0
 
ngd[29, 7] = 0
 
ngd[29, 8] = 0
 
ngd[29, 9] = 0
 
ngd[29, 10] = 0
 
ngd[29, 11] = 0
 
ngd[29, 12] = 0
 
ngd[29, 13] = 0
 
ngd[29, 14] = 0
 
ngd[29, 15] = 0
 
ngd[29, 16] = 0
 
ngd[29, 17] = 0
 
ngd[29, 18] = 0
 
ngd[29, 19] = 386536492032
 
ngd[29, 20] = -30838130141009988112
 
ngd[29, 21] = 15841015676569635837734400
 
ngd[29, 22] = -1494481070469529699983061582848
 
ngd[29, 23] = 52491767984208059603270411699463680
 
ngd[29, 24] = 9431869926469500462599143085792925400560
 
ngd[29, 25] = 631383751873620744821252942504735482233282813440
 
ngd[29, 26] = 3414726688285016839698352572560491387275113087749020928
 
ngd[29, 27] = 4587418470868629985246521683524148680141118399275680090930688
 
ngd[29, 28] = 
    2370507154356523488358621647969073572370991692228031283431006759552
 
ngd[29, 29] = 
    602245888532019455494038417447696064576278640416502742187450852073532928
 
ngd[29, 30] = 
    8790414004827911679725519538013584690402994211403991078040268677639217915\
9808
 
ngd[29, 31] = 819928746737844808744597960262982663653626482243688383426305482\
2442632713688625152
 
ngd[29, 32] = 527638596450395619899989370044489675751555358827540758059814732\
489459670998326468130688
 
ngd[29, 33] = 248064865434939483456792507072683354409090185261502292326688745\
94912480608045528479325312000
 
ngd[29, 34] = 890505209400426155304740763262543818495253316589379278405891254\
345101135265486549007030928559616
 
ngd[29, 35] = 252753644303697457597330943318820393397602075706721631839464977\
91556505546382971490813527168500064256
 
ngd[29, 36] = 583390619968051401537155297053996881371515994969796697478022334\
120702102443333179884270416116272789308128
 
ngd[29, 37] = 112056321484391398362372926786589815257868107351348558984745492\
25637223701902655960819913286207303533115063296
 
ngd[29, 38] = 182582987797843607458728483870599072230259517284508663517109197\
492991188620502156291852460274991928227314988957440
 
ngd[29, 39] = 256478837707216202130382107492048384816199655030735178644519540\
9232315123880407693842093765746140982228977583463768064
 
ngd[29, 40] = 314912436398686623710862456524311542492283306174544204707246756\
81165984332729944943625122522225748599922189715802263936144
 
ngd[29, 41] = 341993294727877210054893030374810420143124439642932526544550401\
326321032278142203029981546098040183206720676390070541429872128
 
ngd[29, 42] = 331890500469781334224247661646535356053102449678451634413850984\
5160589754693891665821822743665206330503461877058409477321627814656
 
ngd[29, 43] = 290414805067618136633217560687349382645838345173193488952437786\
68126430865043217176436746269756673781284484283484637139748604445207552
 
ngd[29, 44] = 230949997244630488480279449536787012964674509525460270167029767\
326524309380876817179807127752966813824095276235688835476169281616538891584
 
ngd[30, 1] = 0
 
ngd[30, 2] = 0
 
ngd[30, 3] = 0
 
ngd[30, 4] = 0
 
ngd[30, 5] = 0
 
ngd[30, 6] = 0
 
ngd[30, 7] = 0
 
ngd[30, 8] = 0
 
ngd[30, 9] = 0
 
ngd[30, 10] = 0
 
ngd[30, 11] = 0
 
ngd[30, 12] = 0
 
ngd[30, 13] = 0
 
ngd[30, 14] = 0
 
ngd[30, 15] = 0
 
ngd[30, 16] = 0
 
ngd[30, 17] = 0
 
ngd[30, 18] = 0
 
ngd[30, 19] = 507426816
 
ngd[30, 20] = 198475021034961696
 
ngd[30, 21] = -314991248643878461540608
 
ngd[30, 22] = 54443868066045074793091489920
 
ngd[30, 23] = -2889678357622857456600583164415488
 
ngd[30, 24] = 72552499929842501869249571760426114448
 
ngd[30, 25] = 1329176496818600031694408378922656919527445248
 
ngd[30, 26] = 22775456843987956388191870876272652936882844373448832
 
ngd[30, 27] = 66437457837423162671806213011184145829861410568368336493312
 
ngd[30, 28] = 
    61746067356020814558467963872038113053543926553936697231486510400
 
ngd[30, 29] = 
    25160972667186560277800410684299415687807244160243088280881278462940928
 
ngd[30, 30] = 
    5453329590226185802387914642975717654827818266339918200988819441385678515\
968
 
ngd[30, 31] = 714615709669745783478078922958642058654537536390881433990427056\
059747073520398080
 
ngd[30, 32] = 619708120109668725844566418235809434200135645787171299145916073\
65500382017270285694144
 
ngd[30, 33] = 380090475751084517451548073253781093812008132844169331054983874\
9701288340452944677758630656
 
ngd[30, 34] = 173445255291176231007699209807812292707296395693981288697551460\
030219996487844116617354314821248
 
ngd[30, 35] = 612649665815716523674921315735215935189305820528105131246889805\
6936100543403252803258994638681435904
 
ngd[30, 36] = 172896486977154059488389927710253384368071348428112904634038016\
988110237557710284565440732552218007869632
 
ngd[30, 37] = 400018861041071820488538089666239003591385332513354791475885362\
7634793207895484688531170504149465674636568064
 
ngd[30, 38] = 775094609080561451535358451507307976449167838301107243248218157\
15010702832945968073531892794086499206947517974016
 
ngd[30, 39] = 128047123106179216951710913879673625818646637943078550566928577\
5191297445136862316209563182739601967264255473670587136
 
ngd[30, 40] = 183107554785978119939892928590692390186890863426999182812204292\
18827792105114812937036035100490274962599724031682707014976
 
ngd[30, 41] = 229615043191980285555870875379394525355274027258467236270586714\
871494343598359767841708325343687486574056133640842882471033088
 
ngd[30, 42] = 255342389734570261087358664453973750966989810712056732013390503\
3888317586979967680193726471348457858148221926137525150086738609024
 
ngd[30, 43] = 254282724768107955390518199036321911852132537163420537190265944\
33050855162864849198979435338451047691523442728718783004402892618697216
 
ngd[30, 44] = 228720027934187706186457253902652457167193798703315709413870362\
553157712646621401437155801728448491036075296705143708861585975547583153664
 
ngd[31, 1] = 0
 
ngd[31, 2] = 0
 
ngd[31, 3] = 0
 
ngd[31, 4] = 0
 
ngd[31, 5] = 0
 
ngd[31, 6] = 0
 
ngd[31, 7] = 0
 
ngd[31, 8] = 0
 
ngd[31, 9] = 0
 
ngd[31, 10] = 0
 
ngd[31, 11] = 0
 
ngd[31, 12] = 0
 
ngd[31, 13] = 0
 
ngd[31, 14] = 0
 
ngd[31, 15] = 0
 
ngd[31, 16] = 0
 
ngd[31, 17] = 0
 
ngd[31, 18] = 0
 
ngd[31, 19] = 130560
 
ngd[31, 20] = -587797370270104
 
ngd[31, 21] = 4716455153691805636608
 
ngd[31, 22] = -1670491056321470055453574656
 
ngd[31, 23] = 140758682478701479359870315902976
 
ngd[31, 24] = -4866508791698220442811734040217037408
 
ngd[31, 25] = 1269053113931960776676230919227570727450112
 
ngd[31, 26] = 91957201870109840737580093813076650657852577833088
 
ngd[31, 27] = 668188312369347226464067839383567103863903317771588406272
 
ngd[31, 28] = 1203489800133078418967705511797232025224554195188375636545991328
 
ngd[31, 29] = 
    824725953638287332826198612055687784792574451098769903072097348655616
 
ngd[31, 30] = 
    2742715182550918261357331984001354894288468077526676193597690618085493420\
80
 
ngd[31, 31] = 517224879921245196868368642169904759260267626886346273137832741\
60729318308167168
 
ngd[31, 32] = 615648541999277862408342440629355492502439013106603587960024109\
1374088635200283776696
 
ngd[31, 33] = 499808192807570466594667835166563861707530447961124461763841177\
213532682780989367976023040
 
ngd[31, 34] = 293344904343198767170796584335544469874448867800160603624893177\
84542017997696958308358206918784
 
ngd[31, 35] = 130203659908049532987582746468156423765751403905598165391854264\
7118157144363441735314381113561011712
 
ngd[31, 36] = 452939441834049085388318684834804559614945751587705598476334202\
08079529232107297528567165583023418533744
 
ngd[31, 37] = 127103905221469674829830842838410583784764369261882663600122968\
0432537937979042636966481609089291980275115520
 
ngd[31, 38] = 294629318841208269695026721536485909769604861688537703979659300\
79287381901680219756325629891625734828216244404864
 
ngd[31, 39] = 575405520009677729810198393474557175037489363032401752598779107\
542017435934791590275606601929833049791428784352657408
 
ngd[31, 40] = 962710249646060410476800597203124778731564574817282849325491568\
5710827312374090007084513963446027389154626921656337090448
 
ngd[31, 41] = 139964555108048747508068939641697584933926448868440840634375795\
195158593659715402768452354508392436420450327440106662047414784
 
ngd[31, 42] = 179002940532901095826880485474809789324391549408872681426272705\
9080651715376270259048719724912544437722110004333446831353373475968
 
ngd[31, 43] = 203535241657720635986804932568704318758145320326725779959260485\
37699649819593984610603335876256588878081869569636997044136901751648256
 
ngd[31, 44] = 207680362828070076669998746410384336218964128496917735521125932\
846192284623307851296713668544850147932075721593890790659638762405003063584
 
ngd[32, 1] = 0
 
ngd[32, 2] = 0
 
ngd[32, 3] = 0
 
ngd[32, 4] = 0
 
ngd[32, 5] = 0
 
ngd[32, 6] = 0
 
ngd[32, 7] = 0
 
ngd[32, 8] = 0
 
ngd[32, 9] = 0
 
ngd[32, 10] = 0
 
ngd[32, 11] = 0
 
ngd[32, 12] = 0
 
ngd[32, 13] = 0
 
ngd[32, 14] = 0
 
ngd[32, 15] = 0
 
ngd[32, 16] = 0
 
ngd[32, 17] = 0
 
ngd[32, 18] = 0
 
ngd[32, 19] = 0
 
ngd[32, 20] = 144150871104
 
ngd[32, 21] = -49481518162835438592
 
ngd[32, 22] = 42157502227208787438334848
 
ngd[32, 23] = -5999760632990752119243878269952
 
ngd[32, 24] = 301100778152082063236505916532261392
 
ngd[32, 25] = -7211065608914722077213026002715982531072
 
ngd[32, 26] = 202086829072841655785326419766556557342888343168
 
ngd[32, 27] = 4455495348011971429795942948243485221590028873403087360
 
ngd[32, 28] = 17105800862065141674587711353274185163998227754246028207212224
 
ngd[32, 29] = 
    20867626146353267592271962072252496014965554536372365762155093544192
 
ngd[32, 30] = 
    1106095157549870171320627375623045596500533102420924077299429421265179187\
2
 
ngd[32, 31] = 308464241176482690903543520384397910709029243218497715159270152\
8161279575117056
 
ngd[32, 32] = 514379472094412958651498215238105407874471666939194455632222640\
407559098253447035424
 
ngd[32, 33] = 561622541306201642548956234058517397387963454551012972868612542\
68475429888521315314200576
 
ngd[32, 34] = 429396495478719095993821020522716636846012680960148115806297780\
9001748887879427658138091014912
 
ngd[32, 35] = 242008938467621549858926759229653417438003280589909999834946203\
726146166923121701031819535781448448
 
ngd[32, 36] = 104681555844387198518121847398467526935025766367674441981319470\
14472894768003101642909855206858577245504
 
ngd[32, 37] = 358931870233529984454353307659112799006337572954655153526705441\
294097172392425921423413516867986959623618560
 
ngd[32, 38] = 100164811140230456996487583855288998033014894505688055330562013\
44007766487098067398787521769153741000096887772160
 
ngd[32, 39] = 232528234994895445380606536970714666384778823454840884623397933\
215726732807826664946231944169147646720987633648440320
 
ngd[32, 40] = 457369137991755731337568181219268267810725087695853192925389040\
5745387269302366630869689767543035528770559986895181307168
 
ngd[32, 41] = 774211553172877146590018086506327945448321549627024307928359031\
12082993340159104224317825914738520901727177563899434770436096
 
ngd[32, 42] = 114304003917534182381162524862217145246431722444682889641055663\
5529522223638549634659927363724237503956378580512993372736515956480
 
ngd[32, 43] = 148900792370351459848141670973092544696977686463553272210758163\
65164375980368759754068940418485061985708104974243462498458654614367744
 
ngd[32, 44] = 172881290996699039725581919027615581642917813687618039023327827\
512683940453648429570989794986675198841790129322751553713015800205471164416
 
ngd[33, 1] = 0
 
ngd[33, 2] = 0
 
ngd[33, 3] = 0
 
ngd[33, 4] = 0
 
ngd[33, 5] = 0
 
ngd[33, 6] = 0
 
ngd[33, 7] = 0
 
ngd[33, 8] = 0
 
ngd[33, 9] = 0
 
ngd[33, 10] = 0
 
ngd[33, 11] = 0
 
ngd[33, 12] = 0
 
ngd[33, 13] = 0
 
ngd[33, 14] = 0
 
ngd[33, 15] = 0
 
ngd[33, 16] = 0
 
ngd[33, 17] = 0
 
ngd[33, 18] = 0
 
ngd[33, 19] = 0
 
ngd[33, 20] = 626523936
 
ngd[33, 21] = 321858867082228736
 
ngd[33, 22] = -847869708501427478331904
 
ngd[33, 23] = 220742911986185253019778553856
 
ngd[33, 24] = -16715751513003448760067447356852224
 
ngd[33, 25] = 565446904250248454225629937625942543872
 
ngd[33, 26] = 190207518519977153957437641136997850671557632
 
ngd[33, 27] = 18482429187530034990937200179224426425726155265831936
 
ngd[33, 28] = 171648319969172540107800655760775671684226143300872406744480
 
ngd[33, 29] = 
    399736575778954037208891745977410270799958232395016015161286146560
 
ngd[33, 30] = 
    353135609381207713462546261942231704520721424987184970383753719606361088
 
ngd[33, 31] = 150236102477945981317692020527994452114307759473098649864870272\
119445072541184
 
ngd[33, 32] = 359111462470929000498564567007527062424399340822374923924244856\
20706758454790449545
 
ngd[33, 33] = 536680333043808681053899354832236310040565992678460976041566005\
5581123073114305363331072
 
ngd[33, 34] = 542014089785554485315631277145268102960202526577114850885099072\
465373882587599278883524611584
 
ngd[33, 35] = 392293871712722839120392235249635501202734830352417188231751435\
48557874131277094782186268150352896
 
ngd[33, 36] = 212973374450721089637363417549794325432701071369332419490426463\
7863049527752141236968019454810430284816
 
ngd[33, 37] = 899288777656001141234036645094937329847897472336864491649473442\
24781423299043419411834853891227328268595200
 
ngd[33, 38] = 304155684493765034138903542642370292453562129811561517720437790\
9790180545722466834492215141650550694254719306496
 
ngd[33, 39] = 844167910148532193799654788577897543277146211827185079441352641\
01735060243586687233606036648265564445981816296863744
 
ngd[33, 40] = 196190994107396483897205809818244331671275342578725634185338109\
9236644780982335239976364091602510963376565288280660520914
 
ngd[33, 41] = 388391491236211139975817687282574034350862070987366085220193672\
03834642644576053751170734402770603725439331256876233480638976
 
ngd[33, 42] = 664571810776712310290354531826760248737972658191673173938501101\
193496091986175079070662780298192002687704846128491721572209697024
 
ngd[33, 43] = 995320294579729781447282203043680008883139773012587206774957218\
0539044913793615710392568932312885851747875801462047853181455169253376
 
ngd[33, 44] = 131912186725705999059605774624382996535871948257039439529141777\
564790359059209566170106945928233891182151317831040764534151009230860049280
 
ngd[34, 1] = 0
 
ngd[34, 2] = 0
 
ngd[34, 3] = 0
 
ngd[34, 4] = 0
 
ngd[34, 5] = 0
 
ngd[34, 6] = 0
 
ngd[34, 7] = 0
 
ngd[34, 8] = 0
 
ngd[34, 9] = 0
 
ngd[34, 10] = 0
 
ngd[34, 11] = 0
 
ngd[34, 12] = 0
 
ngd[34, 13] = 0
 
ngd[34, 14] = 0
 
ngd[34, 15] = 0
 
ngd[34, 16] = 0
 
ngd[34, 17] = 0
 
ngd[34, 18] = 0
 
ngd[34, 19] = 0
 
ngd[34, 20] = -23808
 
ngd[34, 21] = -1002354648247296
 
ngd[34, 22] = 13004407858426599605248
 
ngd[34, 23] = -6892066632646353042392488704
 
ngd[34, 24] = 825460826610005243353068236134640
 
ngd[34, 25] = -39150204213761356067999719214095754496
 
ngd[34, 26] = 1030501160102230345823165460907755538143232
 
ngd[34, 27] = 43432761772266908507732165698452775187043677955072
 
ngd[34, 28] = 1166012914639806998304979581449833841734210906062605745792
 
ngd[34, 29] = 5661395985433734240550673798480809320745758530291970880362403584
 
ngd[34, 30] = 
    8792186424729218981541482160556004456920214534469959778896416256184320
 
ngd[34, 31] = 
    5914741851292863707016459363819104945488766506040121328256219349677348375\
552
 
ngd[34, 32] = 207964140484263869079220106425290967938357505843192922534298833\
6458939748737888352
 
ngd[34, 33] = 433778729039722069875902578745005122205798527238859109156178150\
465523138988203071207168
 
ngd[34, 34] = 587571379589308910405101010815363033058379905537786515188188373\
97420610962777657050600384384
 
ngd[34, 35] = 552842574645640974211432286837818459681220019130468664075625562\
2371012843947894343558736020659712
 
ngd[34, 36] = 380494590815578165900490207770287983045995418959065456857411747\
364401619672469954462537674109678982848
 
ngd[34, 37] = 199523813912335281223907616837128113660291085451418003699169894\
11608418393164857825128260470160788699262464
 
ngd[34, 38] = 823705607899020592374962808197788087478598318244875529156059948\
752747448928751966672930147416147243818201947520
 
ngd[34, 39] = 274997490676151714002031764234273625109501890954781325631641649\
81292618624169735591930451027400194851184343390784256
 
ngd[34, 40] = 759173092986680779793122058606318054367293126173958270042273617\
864230243313665265446732901460663691852642364694821241472
 
ngd[34, 41] = 176582937018048770731026780873359658562936419419696613823368232\
94104466762149629762924547003324323622575137858257223436610048
 
ngd[34, 42] = 351623172853893036849392778134984321850507303989775045372157997\
137793549340449502791492167043939760715829213646292251640867798656
 
ngd[34, 43] = 607680886772968254116240631196655060860279066207588577568951481\
8292120780996029699224864228961841068171882407857268288122918589884160
 
ngd[34, 44] = 922352378691541427032840128506209985487478278890676824225946188\
33123606106735390312716141331494044918353459277766904289409448908666369088
 
ngd[35, 1] = 0
 
ngd[35, 2] = 0
 
ngd[35, 3] = 0
 
ngd[35, 4] = 0
 
ngd[35, 5] = 0
 
ngd[35, 6] = 0
 
ngd[35, 7] = 0
 
ngd[35, 8] = 0
 
ngd[35, 9] = 0
 
ngd[35, 10] = 0
 
ngd[35, 11] = 0
 
ngd[35, 12] = 0
 
ngd[35, 13] = 0
 
ngd[35, 14] = 0
 
ngd[35, 15] = 0
 
ngd[35, 16] = 0
 
ngd[35, 17] = 0
 
ngd[35, 18] = 0
 
ngd[35, 19] = 0
 
ngd[35, 20] = -240
 
ngd[35, 21] = 482500187136
 
ngd[35, 22] = -142457874482700116224
 
ngd[35, 23] = 178697867223524995733409792
 
ngd[35, 24] = -35888437883757558110421546090160
 
ngd[35, 25] = 2460781742981428619800529280489073664
 
ngd[35, 26] = -81170168455021464093772330242294649389312
 
ngd[35, 27] = 51354272114758429773284955461464537532054508544
 
ngd[35, 28] = 5067284862686381405304533109847508932980902244231128240
 
ngd[35, 29] = 57559724584141897710227783844693998074154069070951372451782656
 
ngd[35, 30] = 
    167681289180030414291074656996911832649650449726663046081499623262592
 
ngd[35, 31] = 
    1860092210821524980863066098633271285827666116760329367667420808720546810\
88
 
ngd[35, 32] = 990704018178319037933541302032181499111256474660809806526441452\
73763892464055176
 
ngd[35, 33] = 294756764692964202803891915062282855640806637238570165716570828\
28833396121957645758976
 
ngd[35, 34] = 544541400389557128854412246296229115055544507303732641768279076\
4752446742842803956098084352
 
ngd[35, 35] = 674978091114552502505264916944551308922590144982875137044790400\
783127597003027254721951730248192
 
ngd[35, 36] = 595344811796682774474280076148601731481181430092527899299677939\
00172428403488843172612223037137366400
 
ngd[35, 37] = 391185982451653033592066688535066016572793215806295862782381563\
6274365899563602596634392401119914797337088
 
ngd[35, 38] = 198620672867511582787622145718979460585209631840923010626184315\
912768429409791243096927414339480601614690287360
 
ngd[35, 39] = 802805285972686194137368655384825792667960956631104863587479277\
6251742084325284853841991669594371730109238989637120
 
ngd[35, 40] = 264733780359036289473610656505837544863088087448754876640139694\
779687701218889576397773071075001429460945669484853621296
 
ngd[35, 41] = 727030835546053173795432373903109688342674051628488290310104043\
2317761871777902340697101772790627474053637347750673264484864
 
ngd[35, 42] = 169201797307893225357564243994865724303623031099730231500190415\
480054155004461528492162613286206939181045687508747349520417347072
 
ngd[35, 43] = 338718259358721257681895202912171417220079138114765672933187043\
2727456279191847876481724260592122410880897577604474962181639292348416
 
ngd[35, 44] = 590803196435222287772758865342021423106233644011900306351209621\
24675706444369462551373703074027914555324462598838482078866195630660740864
 
ngd[36, 1] = 0
 
ngd[36, 2] = 0
 
ngd[36, 3] = 0
 
ngd[36, 4] = 0
 
ngd[36, 5] = 0
 
ngd[36, 6] = 0
 
ngd[36, 7] = 0
 
ngd[36, 8] = 0
 
ngd[36, 9] = 0
 
ngd[36, 10] = 0
 
ngd[36, 11] = 0
 
ngd[36, 12] = 0
 
ngd[36, 13] = 0
 
ngd[36, 14] = 0
 
ngd[36, 15] = 0
 
ngd[36, 16] = 0
 
ngd[36, 17] = 0
 
ngd[36, 18] = 0
 
ngd[36, 19] = 0
 
ngd[36, 20] = 0
 
ngd[36, 21] = 632463360
 
ngd[36, 22] = 1000463770315666304
 
ngd[36, 23] = -3739709563176745950819328
 
ngd[36, 24] = 1356753682103092871727023385472
 
ngd[36, 25] = -139475159789874368772291609728836352
 
ngd[36, 26] = 6259315903723114688006283011582296530560
 
ngd[36, 27] = -133323628905719772724728093623732882623153664
 
ngd[36, 28] = 13003466980118739518091465363364328048492787558239040
 
ngd[36, 29] = 404577193843188554205731456508731710968897000311400348461824
 
ngd[36, 30] = 
    2397221353785089217035097065551896564860415959541808616491146441088
 
ngd[36, 31] = 
    4608347877166499248566703496104114646896566653856418376072511079481731328
 
ngd[36, 32] = 384555356414012304138788282531568217071927512629041658715382833\
8786980016794752
 
ngd[36, 33] = 167235533463236610394836389854725024498103974061271349291664975\
1573492542658140911616
 
ngd[36, 34] = 429253568643277943734670391856671610590355492682991390751929544\
137651688764577058375265536
 
ngd[36, 35] = 711212376532858605632437069696571858906577779506163691224785378\
18643652625533034833612668484352
 
ngd[36, 36] = 813374883697683110386919214858634398975350188479329908174330405\
6436948811893209941724951089335841600
 
ngd[36, 37] = 676166326322354446303352422340233053626523909193234142493837496\
702381053149404682123706816971936382194688
 
ngd[36, 38] = 425654984448309700139455299701784257027849479977975529203087052\
24082626260027036534707894793701234199581883648
 
ngd[36, 39] = 209722718009975222978779271917593030568951446281380980590264517\
9511590238363972180104581123010874214769593207956736
 
ngd[36, 40] = 830977848949777394234716542870952866341862063547101572330461741\
08014705584963897154807922296858937726989421868871942432
 
ngd[36, 41] = 270827706002623281944555080705176872248879298532281595246939126\
4017929470406081221355922367943994681077489912912607278245376
 
ngd[36, 42] = 739983356931567675551223645230271238266991001539618767245719236\
59394621467624905662238338847836296381427983604197167168996121728
 
ngd[36, 43] = 172274362368744901910712947369639035738993651968100930153433627\
1127773075001360132501219854615152949295489276432806896242361695469312
 
ngd[36, 44] = 346537755669765426999171511543157536608256081923725693447672284\
96828934219089085642838991836018236543185446927189841456498836215677198656
 
ngd[37, 1] = 0
 
ngd[37, 2] = 0
 
ngd[37, 3] = 0
 
ngd[37, 4] = 0
 
ngd[37, 5] = 0
 
ngd[37, 6] = 0
 
ngd[37, 7] = 0
 
ngd[37, 8] = 0
 
ngd[37, 9] = 0
 
ngd[37, 10] = 0
 
ngd[37, 11] = 0
 
ngd[37, 12] = 0
 
ngd[37, 13] = 0
 
ngd[37, 14] = 0
 
ngd[37, 15] = 0
 
ngd[37, 16] = 0
 
ngd[37, 17] = 0
 
ngd[37, 18] = 0
 
ngd[37, 19] = 0
 
ngd[37, 20] = 0
 
ngd[37, 21] = 161280
 
ngd[37, 22] = -3643185915136000
 
ngd[37, 23] = 60751692528866465479680
 
ngd[37, 24] = -43923443660536481500802284052
 
ngd[37, 25] = 7072930030694880196849797086824960
 
ngd[37, 26] = -442570956001720294857779849852087671552
 
ngd[37, 27] = 14213961194094952212228778679456531072305152
 
ngd[37, 28] = 17143634678698896276860307499502205620332620817600
 
ngd[37, 29] = 1870521343814483342604930978243751490959427930831198202368
 
ngd[37, 30] = 
    25014719613834051985959951554392958600827771398513853038432212736
 
ngd[37, 31] = 
    88479919845464582370641117449583648126664079177977738379875652222385152
 
ngd[37, 32] = 120300677473651949597769199360648611880937196299549281315541159\
185928334374800
 
ngd[37, 33] = 786133552966077553327046822208720047732077427055539209788874003\
46322917194812630016
 
ngd[37, 34] = 286180581313025650252115956411895976018126390106367988697358844\
98078733502042734735005696
 
ngd[37, 35] = 643975305089303158600035080985395650291579692907321566700207321\
0555822621631104842904328584192
 
ngd[37, 36] = 967129875350478915373236171580246802632019195554810927102452056\
579195062924284595974904455432695328
 
ngd[37, 37] = 102775840879482387862653466099607025673909701905383830897628025\
425576191587534720954851475891039243885056
 
ngd[37, 38] = 809086987024718706218343423766877004672982714725323773655602007\
3189706812639801933616782754821071659434514688
 
ngd[37, 39] = 489486902470948637472866950253360706853022010810791167818242438\
662310482471665432572437794746099269828749282926080
 
ngd[37, 40] = 234493858814464262094686723861938114813248115174422533028745992\
92119751274032792995296698617941248153397919397203010948
 
ngd[37, 41] = 911873636588490830406650954646334542600415653113616286246795682\
497308599849876889319693579233948817142842834778089127147520
 
ngd[37, 42] = 293891057496175331742120744502979252242351366777331919508373296\
92544869349149848250376337958099800428032567797440070011693848832
 
ngd[37, 43] = 799016247201685104259212667115605779616900491452353979778318638\
606203603476157912361555179836390874636928157219673508791316251635200
 
ngd[37, 44] = 186044478878007138739141104250066080036244803511345696465178156\
12723652600127284787198954843088581631861030462171081142409382981246527616
 
ngd[38, 1] = 0
 
ngd[38, 2] = 0
 
ngd[38, 3] = 0
 
ngd[38, 4] = 0
 
ngd[38, 5] = 0
 
ngd[38, 6] = 0
 
ngd[38, 7] = 0
 
ngd[38, 8] = 0
 
ngd[38, 9] = 0
 
ngd[38, 10] = 0
 
ngd[38, 11] = 0
 
ngd[38, 12] = 0
 
ngd[38, 13] = 0
 
ngd[38, 14] = 0
 
ngd[38, 15] = 0
 
ngd[38, 16] = 0
 
ngd[38, 17] = 0
 
ngd[38, 18] = 0
 
ngd[38, 19] = 0
 
ngd[38, 20] = 0
 
ngd[38, 21] = 0
 
ngd[38, 22] = 3670593912832
 
ngd[38, 23] = -723852084082797400064
 
ngd[38, 24] = 1194505357428398250552633936
 
ngd[38, 25] = -317952946018381020463847464352768
 
ngd[38, 26] = 28541828469996553745349484283744561664
 
ngd[38, 27] = -1214826371887297750446172820565999348134144
 
ngd[38, 28] = 39644058520025826222335514893353929760063807616
 
ngd[38, 29] = 5310789315851488495039193654176990303745463028632315392
 
ngd[38, 30] = 184232610430546951707274049749255410123610987175702117685519744
 
ngd[38, 31] = 
    1290904897550850656606929779667828604180457582200614361977226181459968
 
ngd[38, 32] = 
    2994569390637638190162135793596365197536391191803004654781941794948168189\
360
 
ngd[38, 33] = 303483667769212413393045154728371696033435351090269089593015684\
9513684309934500096
 
ngd[38, 34] = 160338545016677162661466547521035075031190279686758790009867774\
9638112220619052143500544
 
ngd[38, 35] = 498689788428031973680490865334919857730343695097445538651267873\
330452491953384038829574413056
 
ngd[38, 36] = 997173678194061315817773923168424248643163228427269035343745590\
53148956607074766740384658703182336
 
ngd[38, 37] = 136983814057351440658988384766502277719564306249851635847971721\
38975473121033118948125787610605528426240
 
ngd[38, 38] = 136104828464716091522823980033860634852796224439032191163254072\
0345488450214269585447714095045474622365862400
 
ngd[38, 39] = 101890677210028611050137753880657409050665378717081256136703405\
628321003418772076201572242596566544036079020365568
 
ngd[38, 40] = 594058632177370216624602698067688344208443963740605672304494953\
1698355944724505386162152619782652700511736933707324688
 
ngd[38, 41] = 277201384453072471918917208476441877681967972169673707818975151\
214756307355633609263620280483208122514822106986641319551232
 
ngd[38, 42] = 105904842478897862043469239995441324219267309830002353586286530\
81192325784836052813454721848995996650508403198892075325447799168
 
ngd[38, 43] = 337708760447273185056121202977344903424139199722398614097929068\
808758167504464991199933644352859255949976437986459883315657365847040
 
ngd[38, 44] = 913707736092631680481248615443030237643068842959398577474645663\
3526154487329152327656450177568533081230557434960129698644038403081377024
 
ngd[39, 1] = 0
 
ngd[39, 2] = 0
 
ngd[39, 3] = 0
 
ngd[39, 4] = 0
 
ngd[39, 5] = 0
 
ngd[39, 6] = 0
 
ngd[39, 7] = 0
 
ngd[39, 8] = 0
 
ngd[39, 9] = 0
 
ngd[39, 10] = 0
 
ngd[39, 11] = 0
 
ngd[39, 12] = 0
 
ngd[39, 13] = 0
 
ngd[39, 14] = 0
 
ngd[39, 15] = 0
 
ngd[39, 16] = 0
 
ngd[39, 17] = 0
 
ngd[39, 18] = 0
 
ngd[39, 19] = 0
 
ngd[39, 20] = 0
 
ngd[39, 21] = 0
 
ngd[39, 22] = 217984256
 
ngd[39, 23] = 5782908085011354112
 
ngd[39, 24] = -26616944292648406137855528
 
ngd[39, 25] = 12530955349024373981735465420800
 
ngd[39, 26] = -1668762332777159318005477067501134848
 
ngd[39, 27] = 96029247682818572140012204098664499393536
 
ngd[39, 28] = -2998961415698376072563910620848826356194725152
 
ngd[39, 29] = 8438891803223395834111110133940088208170834644543488
 
ngd[39, 30] = 916900184348233894858901418235011778327039428762162813618432
 
ngd[39, 31] = 
    13972970989719006374495673102096194088448952714692640478087069746176
 
ngd[39, 32] = 
    5843275585787832175919295850057837765244834315672816829171724364396482632\
0
 
ngd[39, 33] = 952476826543096626882481001135835142643177101450600087513838216\
72971382364217344
 
ngd[39, 34] = 749519809038375449216092883735630152642363096497372157409656350\
07928126001711586114176
 
ngd[39, 35] = 328532003139035174476451138542191492706421821178280849154342168\
93596905768122510319613132288
 
ngd[39, 36] = 887977608560091889998588257009869487108972409854880831124104799\
7717893577356700525157327416611696
 
ngd[39, 37] = 159602211194634621161193583932921341364322609851210249582696322\
0387118616673866998200946405634796621312
 
ngd[39, 38] = 202132309544126456053035886306035925429565581208642806203361456\
191063397079812437812678696445550083018970240
 
ngd[39, 39] = 188794587195088635584014267710334634435214577180836085404308983\
29250171179260345362433297166999112879743569781760
 
ngd[39, 40] = 134901731585384925136069025386195612033610222003292522530483793\
7068018459952217646249091035398919719717798999648805432
 
ngd[39, 41] = 759878476784820782068326951225698041371316486757368643561094312\
49154662978792030871575570547462393686841248263372874968576
 
ngd[39, 42] = 345928633845421724714310563665005009350073976546135163490139920\
3488103145902509383691978114661985082595111525405629116052090880
 
ngd[39, 43] = 129970279635734817377359668877661474057737242358847413019023951\
831193654173191235407580098506617590406969387141454998969963246312960
 
ngd[39, 44] = 410257709576885910274832400021441711910988278048115603145034307\
7384505689522913831272391880730889402261805295573039893891745271304147008
 
ngd[40, 1] = 0
 
ngd[40, 2] = 0
 
ngd[40, 3] = 0
 
ngd[40, 4] = 0
 
ngd[40, 5] = 0
 
ngd[40, 6] = 0
 
ngd[40, 7] = 0
 
ngd[40, 8] = 0
 
ngd[40, 9] = 0
 
ngd[40, 10] = 0
 
ngd[40, 11] = 0
 
ngd[40, 12] = 0
 
ngd[40, 13] = 0
 
ngd[40, 14] = 0
 
ngd[40, 15] = 0
 
ngd[40, 16] = 0
 
ngd[40, 17] = 0
 
ngd[40, 18] = 0
 
ngd[40, 19] = 0
 
ngd[40, 20] = 0
 
ngd[40, 21] = 0
 
ngd[40, 22] = 6367872
 
ngd[40, 23] = -26329088088999936
 
ngd[40, 24] = 469955899740219826291968
 
ngd[40, 25] = -427193053810566222499134520832
 
ngd[40, 26] = 87837762087684483625404931694636928
 
ngd[40, 27] = -6990490625317428355751099015747166357248
 
ngd[40, 28] = 283010577900672242474797372131490979898478016
 
ngd[40, 29] = -573976027614844688538757777624274021838875712000
 
ngd[40, 30] = 2908762121612019085773509221595458384806122923006358647424
 
ngd[40, 31] = 
    108916835285022197451187818088305196700759294869286634108489023744
 
ngd[40, 32] = 
    878023370905156231521128631739731122647425947535227075670297489811527184
 
ngd[40, 33] = 240204492999506962391912767213523516004583196990415808461596004\
8493777877901824
 
ngd[40, 34] = 289958546683112520890045238637814978701177481595581689774283929\
3325342830108194137984
 
ngd[40, 35] = 183034769631301384023464988436042471624789960154651109874947993\
5763816819532704745117286912
 
ngd[40, 36] = 679898238786235908144372230021119708617371597593396539502173254\
061302460491773999798846483900480
 
ngd[40, 37] = 162000042159891960516638312346066928097111823347239646422331166\
924115569887480318529707856328863068160
 
ngd[40, 38] = 264315878609989927798701326521504103452006466022378908044876073\
61487676702330349690620931911174916641384448
 
ngd[40, 39] = 310736013184395325626186877245406788945250100117658510655134987\
2130068170359521615549609862375264191259042307584
 
ngd[40, 40] = 274137222572589976980688775122873995099008346166725430574980962\
058360125902758083250224256003756887413538994471577920
 
ngd[40, 41] = 187585208340216784283203656970202097703933299052695172039118017\
45022301272558977335769188345019995243060966541103408315648
 
ngd[40, 42] = 102313270061990630997923846299823022440207254210976060938007052\
7553676338361810362572949520358511367347898921470999355392311936
 
ngd[40, 43] = 455079932765030655836185764792118578438107003160393342653477783\
72960730448819587439628006483978869052919342377425003004503476853504
 
ngd[40, 44] = 168293859113860413384112961471807294813328042757787973062504761\
5498268477607238033891582735321068061661004520087449235039114910888183616
 
ngd[41, 1] = 0
 
ngd[41, 2] = 0
 
ngd[41, 3] = 0
 
ngd[41, 4] = 0
 
ngd[41, 5] = 0
 
ngd[41, 6] = 0
 
ngd[41, 7] = 0
 
ngd[41, 8] = 0
 
ngd[41, 9] = 0
 
ngd[41, 10] = 0
 
ngd[41, 11] = 0
 
ngd[41, 12] = 0
 
ngd[41, 13] = 0
 
ngd[41, 14] = 0
 
ngd[41, 15] = 0
 
ngd[41, 16] = 0
 
ngd[41, 17] = 0
 
ngd[41, 18] = 0
 
ngd[41, 19] = 0
 
ngd[41, 20] = 0
 
ngd[41, 21] = 0
 
ngd[41, 22] = 0
 
ngd[41, 23] = 46617513355264
 
ngd[41, 24] = -6270534767957107933653
 
ngd[41, 25] = 12388976513747617767201516032
 
ngd[41, 26] = -4128487166819098894991215809441536
 
ngd[41, 27] = 466415672474238114628693846427750433792
 
ngd[41, 28] = -24865405495533749279377592364691933895595840
 
ngd[41, 29] = 758002283108625823263244274819168852968433595392
 
ngd[41, 30] = 5403783644747605524121936277777095102834497368487913728
 
ngd[41, 31] = 588637415554415765607850991550142535226610810710126748734900736
 
ngd[41, 32] = 
    9944052667682587638788449291705809650574313902527237344354500922195930
 
ngd[41, 33] = 
    4801762178873263575081076989545222632497516431734227493942105855418965685\
6064
 
ngd[41, 34] = 919730528939532270997602792450901934341172712540205222479002264\
12083590511612433920
 
ngd[41, 35] = 856653974695781260281265926184916039198942002145387088134399783\
91785280856200510720970240
 
ngd[41, 36] = 445398656343387152261548746746363564946722839691889978271250841\
06630510819111869378258646175648
 
ngd[41, 37] = 142712524388220420960029490358190040896199918842930343032561914\
04247986806042560577406393689303455744
 
ngd[41, 38] = 303435360279192299148190300359356361177743255819414701134866215\
6135992961251719123314612007394804233994496
 
ngd[41, 39] = 453253265019501796482214386104912892946989559770016130286036075\
677659032347338445076398534349875573238065357312
 
ngd[41, 40] = 497606400084193793640540475187511978716870803721813544502076742\
69298737974624021073108800197193615490034642312658209
 
ngd[41, 41] = 416411425162391221454648579020133969367140182253615010482196363\
5205674717820277338025115336117944685932038799204601782272
 
ngd[41, 42] = 273678898639594454861635540870849334846845143172667342524262873\
854416093837040893226731833802742601412970563960164999025551360
 
ngd[41, 43] = 144831399770251340974610943236936239872554275939558633255795635\
88639000570030241463376172820456231467602151234171499931133040883712
 
ngd[41, 44] = 630250068542419697277641607225963341475444358358178072249123292\
175100796802570672965198327438909868370807658523868329204519563349823040
 
ngd[42, 1] = 0
 
ngd[42, 2] = 0
 
ngd[42, 3] = 0
 
ngd[42, 4] = 0
 
ngd[42, 5] = 0
 
ngd[42, 6] = 0
 
ngd[42, 7] = 0
 
ngd[42, 8] = 0
 
ngd[42, 9] = 0
 
ngd[42, 10] = 0
 
ngd[42, 11] = 0
 
ngd[42, 12] = 0
 
ngd[42, 13] = 0
 
ngd[42, 14] = 0
 
ngd[42, 15] = 0
 
ngd[42, 16] = 0
 
ngd[42, 17] = 0
 
ngd[42, 18] = 0
 
ngd[42, 19] = 0
 
ngd[42, 20] = 0
 
ngd[42, 21] = 0
 
ngd[42, 22] = 0
 
ngd[42, 23] = -3616804864
 
ngd[42, 24] = 58836902145024509424
 
ngd[42, 25] = -299217881545025343775236608
 
ngd[42, 26] = 171601876367706742281004592160512
 
ngd[42, 27] = -28370395343443783404599693646797155328
 
ngd[42, 28] = 2028317357507963906777725436894872858030784
 
ngd[42, 29] = -78357365233501583217820400480649224637647716096
 
ngd[42, 30] = 7130611480509035165819292897159017268469787965507200
 
ngd[42, 31] = 2098741274425201927516424552064123109438677281769622633906944
 
ngd[42, 32] = 
    82678696601010230425388522172604042825149706015199566095652922854656
 
ngd[42, 33] = 
    7487556580539618213413552144773183349054714578236559683530044346819034723\
84
 
ngd[42, 34] = 236658663458835371318999164167541525072972554600573116125552031\
1322576527007502080
 
ngd[42, 35] = 334295398151264304571386092809131360143139747798049530023431011\
4163930029337300584975104
 
ngd[42, 36] = 248270633605431555266096720341427872566731093734580251170910730\
4589386822412348431564011780160
 
ngd[42, 37] = 108661194553456452552952927123098428278097432665164178584555676\
3365830994937491954630497961361889792
 
ngd[42, 38] = 304839918302190894128342348373867141535081642351854629384526264\
246696403741075976080939207257696074839168
 
ngd[42, 39] = 584447729286843442826947793683948854796125747281804562461345212\
71311907420739996338123944159793581405753351936
 
ngd[42, 40] = 805202432182236145244916502651089834776415585098443229715697815\
8724872753984123611842386095258080646466403634753456
 
ngd[42, 41] = 829895225896032870884414030272408284873618266743448915529924211\
130484887184047288322080589929394533198962263109859883264
 
ngd[42, 42] = 661237172787552400295870357425838095033661582801562914972848738\
19964106582106056421079579001185929049600943700832525069982848
 
ngd[42, 43] = 418523635852090590269936776110130120607768517949895283820934355\
7989294201666640751664205761691279030339420875853800520605408477696
 
ngd[42, 44] = 215292453492929502542449726058318483158274378634880813895665763\
222707821797572474412275965186695468269660516858725736954374938695375360
 
ngd[43, 1] = 0
 
ngd[43, 2] = 0
 
ngd[43, 3] = 0
 
ngd[43, 4] = 0
 
ngd[43, 5] = 0
 
ngd[43, 6] = 0
 
ngd[43, 7] = 0
 
ngd[43, 8] = 0
 
ngd[43, 9] = 0
 
ngd[43, 10] = 0
 
ngd[43, 11] = 0
 
ngd[43, 12] = 0
 
ngd[43, 13] = 0
 
ngd[43, 14] = 0
 
ngd[43, 15] = 0
 
ngd[43, 16] = 0
 
ngd[43, 17] = 0
 
ngd[43, 18] = 0
 
ngd[43, 19] = 0
 
ngd[43, 20] = 0
 
ngd[43, 21] = 0
 
ngd[43, 22] = 0
 
ngd[43, 23] = 5255680
 
ngd[43, 24] = -343732554760281760
 
ngd[43, 25] = 5852407943739164412633600
 
ngd[43, 26] = -6234865965973327311078353086848
 
ngd[43, 27] = 1563539085772338030619609357007481344
 
ngd[43, 28] = -153038723597011592329054632337408202208960
 
ngd[43, 29] = 7610560657471469587790847491983311529619230720
 
ngd[43, 30] = -223302285207147972021649441684851636776775860135680
 
ngd[43, 31] = 4619079883097994840772232320908334768525663788539394769920
 
ngd[43, 32] = 
    488290294146746168978723427388794838380991698065463361270270495992
 
ngd[43, 33] = 
    8934573957591772293799421541393914933516099068669301340719625809753397248
 
ngd[43, 34] = 487925515989021497881309900463464163581647096552608611687483281\
83742767126533632
 
ngd[43, 35] = 107846811781140408588851893404979846939216189185356108228521445\
663660786868882938104832
 
ngd[43, 36] = 117030688020524049858005043816114805849119488194409626531547077\
430677177077939166022406691696
 
ngd[43, 37] = 711795483024799823056220983737468861566537925954472089353945019\
96223083494700782695115839669145088
 
ngd[43, 38] = 267061311234671215174522283789123835399180221348410796276822172\
47755082210990070153508702222721589797888
 
ngd[43, 39] = 664374440963852228996989803573314143738058601198674378867812077\
2503033275950473956031916612337176403372613632
 
ngd[43, 40] = 115899600502745786555142309031519609650990778726610760689915104\
2472388059020083328089145243094796641300300863617904
 
ngd[43, 41] = 148233656527488977343304751523359000528157155221834324774161829\
998745636722326524989175590628932635536141786869469200896
 
ngd[43, 42] = 144103200604686522656717351944952732947871480053739795209805648\
84131076140151244557961495329803702587118228066079330888861824
 
ngd[43, 43] = 109690741830565142804196212590698750582118244659147289575082982\
7482849735738891863121516481126313654314713385175866430938372005376
 
ngd[43, 44] = 670224404381055259677654091478669038447275030330390241877039052\
24757083593516124526651337711572389549253717027006860763348525065533088
 
ngd[44, 1] = 0
 
ngd[44, 2] = 0
 
ngd[44, 3] = 0
 
ngd[44, 4] = 0
 
ngd[44, 5] = 0
 
ngd[44, 6] = 0
 
ngd[44, 7] = 0
 
ngd[44, 8] = 0
 
ngd[44, 9] = 0
 
ngd[44, 10] = 0
 
ngd[44, 11] = 0
 
ngd[44, 12] = 0
 
ngd[44, 13] = 0
 
ngd[44, 14] = 0
 
ngd[44, 15] = 0
 
ngd[44, 16] = 0
 
ngd[44, 17] = 0
 
ngd[44, 18] = 0
 
ngd[44, 19] = 0
 
ngd[44, 20] = 0
 
ngd[44, 21] = 0
 
ngd[44, 22] = 0
 
ngd[44, 23] = 133120
 
ngd[44, 24] = 974876677046816
 
ngd[44, 25] = -89207089961566192303104
 
ngd[44, 26] = 195222427645254335326536413184
 
ngd[44, 27] = -77518719692651928700172073593240832
 
ngd[44, 28] = 10635887383617768469934429719101751330368
 
ngd[44, 29] = -691052135073776104627104506720190143226407168
 
ngd[44, 30] = 25558233169201085094711097521333699350452299248512
 
ngd[44, 31] = 5080389037454215891195029676596965735040930225659646720
 
ngd[44, 32] = 1963570607936913496851173089832676026031923175493273090954649824
 
ngd[44, 33] = 
    79709774957785904564124014235462116438800704621660563354152086814925056
 
ngd[44, 34] = 794468019857578929412380637300452058816268459113788768564013007\
973327687481600
 
ngd[44, 35] = 284845871728536053198739961395231612080427015515182573631314128\
1610794454084800506624
 
ngd[44, 36] = 463308252559504764200710937710404989418390786782491964971240114\
0675555155475338921069768320
 
ngd[44, 37] = 399106334320583100538827140708538427072479749876600569916662362\
8351187020468400405170138345162240
 
ngd[44, 38] = 203236431391966808807335376411143846148117958137225301870274727\
0426929902948192840482305895942565493120
 
ngd[44, 39] = 663802003788595380599162572980521934394519307906632805274720925\
028071948731389161378059671324177812953750528
 
ngd[44, 40] = 148043495065582669399953169060149363539065372963442053494384567\
756439043467163774890062020123856816252967697525536
 
ngd[44, 41] = 236850678899997714747273140978984012734979486275202908828977826\
03760794555140133735388040971549829219594573510613213184
 
ngd[44, 42] = 282834539215675823135990034192287424652512781772545081914570999\
8000791930859084326957001020988277183830369214075437445257600
 
ngd[44, 43] = 260423968013979227752205734875483034353633275608838360003595673\
504912774725971964418446237992475858187882466787559672991477322496
 
ngd[44, 44] = 189957425776964695799352667852729521653382544321867647590793387\
40313447549324947477724805086308525726588084637492112976049072546442752
 
ngd[45, 1] = 0
 
ngd[45, 2] = 0
 
ngd[45, 3] = 0
 
ngd[45, 4] = 0
 
ngd[45, 5] = 0
 
ngd[45, 6] = 0
 
ngd[45, 7] = 0
 
ngd[45, 8] = 0
 
ngd[45, 9] = 0
 
ngd[45, 10] = 0
 
ngd[45, 11] = 0
 
ngd[45, 12] = 0
 
ngd[45, 13] = 0
 
ngd[45, 14] = 0
 
ngd[45, 15] = 0
 
ngd[45, 16] = 0
 
ngd[45, 17] = 0
 
ngd[45, 18] = 0
 
ngd[45, 19] = 0
 
ngd[45, 20] = 0
 
ngd[45, 21] = 0
 
ngd[45, 22] = 0
 
ngd[45, 23] = 0
 
ngd[45, 24] = -597217698472
 
ngd[45, 25] = 1002110548072489146880
 
ngd[45, 26] = -5174877409363208379934433792
 
ngd[45, 27] = 3428732893604699923207685641945088
 
ngd[45, 28] = -677645283461158714774537383123128833696
 
ngd[45, 29] = 58488115822130070935203332202290445208715776
 
ngd[45, 30] = -2730326953021183418355463204407972885775085149184
 
ngd[45, 31] = 82304953185208807504036409445370413971589921967040000
 
ngd[45, 32] = 5082571152413774425978860318842006919105500293174951633222000
 
ngd[45, 33] = 
    516664453929630192792280486963751329721252459827064856080926018269696
 
ngd[45, 34] = 
    1004307491370507014323890656529173799203280004873790907224215377308976058\
5472
 
ngd[45, 35] = 609082052141443556591987049095937500621873353885018621617416590\
04407288934892364800
 
ngd[45, 36] = 152843699525187676699028789765361002969663659935912671918625621\
103022476636741551073641888
 
ngd[45, 37] = 190461670932127233866904852500725236141923414557713115899660031\
421616977325253052551467784342016
 
ngd[45, 38] = 133779392118368614120150493609574147114523250055998278480110223\
341121277414847410368865217383756530176
 
ngd[45, 39] = 581025429770024257379212316763163933577741475670156332224462490\
51782498659714430471128024149471842864332288
 
ngd[45, 40] = 167381889894935423103245840996717138050039032827018301277867682\
66175371366963890722534482044653572364153839969576
 
ngd[45, 41] = 337845316643730506034140367325802854671060530599982867604253981\
6797019669497521382007192076727395365614557274645982208
 
ngd[45, 42] = 499137893017611269832965885019673314366226175634206551768970888\
927392632837843521637522563552974223311998254666651836146176
 
ngd[45, 43] = 559341033196663569984537056411249768258470807664287934857191974\
31010476881675072439591315648380183375520716569882928241866957824
 
ngd[45, 44] = 489631460512587449103199640616511069976611625864545509098193782\
6315874081700004170862342765804573931949189718083555155352285832149376
 
ngd[46, 1] = 0
 
ngd[46, 2] = 0
 
ngd[46, 3] = 0
 
ngd[46, 4] = 0
 
ngd[46, 5] = 0
 
ngd[46, 6] = 0
 
ngd[46, 7] = 0
 
ngd[46, 8] = 0
 
ngd[46, 9] = 0
 
ngd[46, 10] = 0
 
ngd[46, 11] = 0
 
ngd[46, 12] = 0
 
ngd[46, 13] = 0
 
ngd[46, 14] = 0
 
ngd[46, 15] = 0
 
ngd[46, 16] = 0
 
ngd[46, 17] = 0
 
ngd[46, 18] = 0
 
ngd[46, 19] = 0
 
ngd[46, 20] = 0
 
ngd[46, 21] = 0
 
ngd[46, 22] = 0
 
ngd[46, 23] = 0
 
ngd[46, 24] = -91088144
 
ngd[46, 25] = -7593977063050072064
 
ngd[46, 26] = 113498855549012343544237824
 
ngd[46, 27] = -133963890475781129668710355480832
 
ngd[46, 28] = 39369208131123028827486623449502498176
 
ngd[46, 29] = -4598891977602084509725008527765536880003072
 
ngd[46, 30] = 274311140592761648220499851052716708249200570624
 
ngd[46, 31] = -9743125018469273124153316710561555595161354080710400
 
ngd[46, 32] = 8080101263566777065063938532287290239224442016360796973536
 
ngd[46, 33] = 
    2346899235311675580970888434912803652409187774046774196204436820480
 
ngd[46, 34] = 
    9656702653178109881276531940356465417621081156737071902323491245435297100\
8
 
ngd[46, 35] = 104078700586066462593133195850518414891416704131047194401181469\
5508184750578240256
 
ngd[46, 36] = 416470658167553850679828150310973358681627866319709475188022273\
9693611060965140753524096
 
ngd[46, 37] = 768694624084318770332214978057142023789838987617982497437922260\
7540714387998970370999972430080
 
ngd[46, 38] = 758095485602869979131214816251576155717169747663146200184796514\
6375708958541463727525397822277490944
 
ngd[46, 39] = 443933069092747862936294953129091738819250590015001966075908040\
3054713367110307786569548756411962525913856
 
ngd[46, 40] = 167039762856766435887364208819840204951126071664753123473675067\
4440971982670001933152277006357577978267141738720
 
ngd[46, 41] = 429251405287529075265570606006900752996898280587721253031784588\
853630741966080140839855605666323841716322229158273536
 
ngd[46, 42] = 790615955905131542073946949381663162559761591451837072925063892\
08337811223333682808348887969519123327207819469457076422912
 
ngd[46, 43] = 108525982059955984378846052454323341273083317967133118541060764\
31957846650435247359986432927675412758251221359096161387113590016
 
ngd[46, 44] = 114644508819924506658248194117754568326435580706781038386875364\
0787410003400523472816350850326149846496781092873797952085824423716992
 
ngd[47, 1] = 0
 
ngd[47, 2] = 0
 
ngd[47, 3] = 0
 
ngd[47, 4] = 0
 
ngd[47, 5] = 0
 
ngd[47, 6] = 0
 
ngd[47, 7] = 0
 
ngd[47, 8] = 0
 
ngd[47, 9] = 0
 
ngd[47, 10] = 0
 
ngd[47, 11] = 0
 
ngd[47, 12] = 0
 
ngd[47, 13] = 0
 
ngd[47, 14] = 0
 
ngd[47, 15] = 0
 
ngd[47, 16] = 0
 
ngd[47, 17] = 0
 
ngd[47, 18] = 0
 
ngd[47, 19] = 0
 
ngd[47, 20] = 0
 
ngd[47, 21] = 0
 
ngd[47, 22] = 0
 
ngd[47, 23] = 0
 
ngd[47, 24] = 90016
 
ngd[47, 25] = 33070947498452480
 
ngd[47, 26] = -1997751869284920653597952
 
ngd[47, 27] = 4568576455813795706194364380672
 
ngd[47, 28] = -2072830765287965094600181812934307632
 
ngd[47, 29] = 334712511651427000510305519180875237775872
 
ngd[47, 30] = -25856385106595004388737593601474271220765624064
 
ngd[47, 31] = 1139590485122227183812326533439110477230347368219136
 
ngd[47, 32] = -25677912227086587531256715333052151789690070751555519064
 
ngd[47, 33] = 7131596711184977108620492716957657572830947553684293033038055424
 
ngd[47, 34] = 
    688878199602745963198441603800252931313987838810505606025844291594567936
 
ngd[47, 35] = 139976113270858038307397999687389351152981801299200817169139405\
45036080742281216
 
ngd[47, 36] = 927858110928097763337995264212298296085722066455151518263812210\
11674119502337111801968
 
ngd[47, 37] = 260512653458726735147862517353543060739620815561935138914158675\
432833454447410769496295032320
 
ngd[47, 38] = 367901727267647632115115142916215376806783144601396254138263028\
648701533189706334028334122492726656
 
ngd[47, 39] = 294907467124082373351400455754529026421177645629761392372117792\
855861418923207829025764527222707133280768
 
ngd[47, 40] = 146687336830092345512202229071070096520752390626250515311500884\
397829236996862401351739377214342803143999434512
 
ngd[47, 41] = 484627597145378608904993393471175955038217356014554215626957329\
56942367919603400633517278523223081032579176975801856
 
ngd[47, 42] = 112184124693151510984519904462388116862395699668847718743955611\
34303204845665918069519392339251690694008658150348899323520
 
ngd[47, 43] = 189923343987147331693376084071058894434933896059284096738066480\
8480522772857613770896877818427544964965637246338841255301626880
 
ngd[47, 44] = 243535011666162856421243945517487058269776731198703503426269321\
213941405111726204156259577796710429843081113028193471988377573748384
 
ngd[48, 1] = 0
 
ngd[48, 2] = 0
 
ngd[48, 3] = 0
 
ngd[48, 4] = 0
 
ngd[48, 5] = 0
 
ngd[48, 6] = 0
 
ngd[48, 7] = 0
 
ngd[48, 8] = 0
 
ngd[48, 9] = 0
 
ngd[48, 10] = 0
 
ngd[48, 11] = 0
 
ngd[48, 12] = 0
 
ngd[48, 13] = 0
 
ngd[48, 14] = 0
 
ngd[48, 15] = 0
 
ngd[48, 16] = 0
 
ngd[48, 17] = 0
 
ngd[48, 18] = 0
 
ngd[48, 19] = 0
 
ngd[48, 20] = 0
 
ngd[48, 21] = 0
 
ngd[48, 22] = 0
 
ngd[48, 23] = 0
 
ngd[48, 24] = 8240
 
ngd[48, 25] = -56810684083200
 
ngd[48, 26] = 27040414251480316314240
 
ngd[48, 27] = -134009594101301572115418791936
 
ngd[48, 28] = 98203626183677258187868504411795328
 
ngd[48, 29] = -22456262132269890223369697322649267678464
 
ngd[48, 30] = 2280571228909280680950903397701479817935544192
 
ngd[48, 31] = -125989034868660694456951351557918276713754684329728
 
ngd[48, 32] = 4314145672710931271060489155216694993070468252857693184
 
ngd[48, 33] = 13523313231414718774676849667184498153541000004348452181740544
 
ngd[48, 34] = 
    3535172370311335111954115643478883693898336626049309686619682055248512
 
ngd[48, 35] = 145516081673495199069030305732857938832742079864073556828847325\
518548258535680
 
ngd[48, 36] = 167059384369503527479113387950630311205348801956707908894875554\
0351722955988964550080
 
ngd[48, 37] = 735415741045641909840307837187115011085134623813882105619249428\
0486862477539256889355938048
 
ngd[48, 38] = 152013230584632549205370464546577816844125737607660843008845292\
92330250348603353419357900018235904
 
ngd[48, 39] = 169591935288141317946552265593261147605748276432548651715701590\
63532979492749829061897404216106114865152
 
ngd[48, 40] = 112972272774424783768439271406967895755618940903762839521623201\
58305573726956162481731371459141998900066364768
 
ngd[48, 41] = 484917700933795047539468486902834162825847066225005718055084495\
7851214179673757840037278355002693927867649407294720
 
ngd[48, 42] = 142302569951334997131884270719511910136663420920932821391978950\
5982119754057689752081757296554848683728236528094956974592
 
ngd[48, 43] = 299283595914789327672925086311626407384047347503785024620826862\
464959230137648965559897321724994852230847572267850745599933696
 
ngd[48, 44] = 468709774399588360158017051768433254613015865738735683113335107\
54853510947458275363083265971943256505851173215421161971560073081856
 
ngd[49, 1] = 0
 
ngd[49, 2] = 0
 
ngd[49, 3] = 0
 
ngd[49, 4] = 0
 
ngd[49, 5] = 0
 
ngd[49, 6] = 0
 
ngd[49, 7] = 0
 
ngd[49, 8] = 0
 
ngd[49, 9] = 0
 
ngd[49, 10] = 0
 
ngd[49, 11] = 0
 
ngd[49, 12] = 0
 
ngd[49, 13] = 0
 
ngd[49, 14] = 0
 
ngd[49, 15] = 0
 
ngd[49, 16] = 0
 
ngd[49, 17] = 0
 
ngd[49, 18] = 0
 
ngd[49, 19] = 0
 
ngd[49, 20] = 0
 
ngd[49, 21] = 0
 
ngd[49, 22] = 0
 
ngd[49, 23] = 0
 
ngd[49, 24] = 180
 
ngd[49, 25] = 4443311104
 
ngd[49, 26] = -264075124435822620672
 
ngd[49, 27] = 3319165704965315439870422016
 
ngd[49, 28] = -4151620107911940863859436715379824
 
ngd[49, 29] = 1382406586826128829961679012732261993472
 
ngd[49, 30] = -187677580397094741959438524431257178150647296
 
ngd[49, 31] = 13141209644334201725301176016893793868187023545856
 
ngd[49, 32] = -549694691464695532159471193127841851910145149113101651
 
ngd[49, 33] = 30197528536146711447426993766096089544056156430527664396288
 
ngd[49, 34] = 
    12551152310934043225853860662601378443272253037640275651743698611456
 
ngd[49, 35] = 
    1144234100629875026326681348782169059707831757273026238302878148878984775\
168
 
ngd[49, 36] = 239807089532504946226627706269272623647870641728971110726295014\
02384666624778274432
 
ngd[49, 37] = 171352106341342160733819904516660001100624898095199952104226573\
151559630286492635614550016
 
ngd[49, 38] = 531302493703766543015400146435603944991256232698867155358462880\
710093699582796972801287669564672
 
ngd[49, 39] = 840198698779274034920250222633698166646119426124505440793242011\
009609210066748329589998245376864953856
 
ngd[49, 40] = 760263162753525074766759801071808226470882851370223481679973707\
985310326350956412563919350612488020558618676
 
ngd[49, 41] = 428796985167155959133512642526746039264616028808316066756043622\
137650676778120239694768255613198033763614017860096
 
ngd[49, 42] = 161001149180453690832234074706133956580429884078737897171930409\
019686068664469439349795268945148726105818972151770708992
 
ngd[49, 43] = 423898349935345222555777379115244623961340981203399464990762592\
84869784653665709194000059831181196459841790140024319955780608
 
ngd[49, 44] = 816103881462461951458575985436788346425437267231810397276157391\
9631464514924246506943492612141854354620569591110318014791742935264
 
ngd[50, 1] = 0
 
ngd[50, 2] = 0
 
ngd[50, 3] = 0
 
ngd[50, 4] = 0
 
ngd[50, 5] = 0
 
ngd[50, 6] = 0
 
ngd[50, 7] = 0
 
ngd[50, 8] = 0
 
ngd[50, 9] = 0
 
ngd[50, 10] = 0
 
ngd[50, 11] = 0
 
ngd[50, 12] = 0
 
ngd[50, 13] = 0
 
ngd[50, 14] = 0
 
ngd[50, 15] = 0
 
ngd[50, 16] = 0
 
ngd[50, 17] = 0
 
ngd[50, 18] = 0
 
ngd[50, 19] = 0
 
ngd[50, 20] = 0
 
ngd[50, 21] = 0
 
ngd[50, 22] = 0
 
ngd[50, 23] = 0
 
ngd[50, 24] = 0
 
ngd[50, 25] = -4172800
 
ngd[50, 26] = 1674881824331185664
 
ngd[50, 27] = -67774596453224524447725568
 
ngd[50, 28] = 155066938921711954665997455668384
 
ngd[50, 29] = -77674456471637502383492518870194636544
 
ngd[50, 30] = 14364244146145005301469984142195718863170176
 
ngd[50, 31] = -1290428618106510959343702508192262256843723582720
 
ngd[50, 32] = 66542159967334120704855253528452785740137636450662240
 
ngd[50, 33] = -2192068523430703496439215768067009956619319525445472280064
 
ngd[50, 34] = 
    29361358879525421532591218903712469192421747915574319861945041152
 
ngd[50, 35] = 
    6627946637171515489460477653900497828914331473365958963871683302307336704
 
ngd[50, 36] = 270109875361734763656189590273147049873886677176014910655144048\
546766989333967968
 
ngd[50, 37] = 326098224532652396402393257236276444614937888295180989878709562\
5011843631696157188359936
 
ngd[50, 38] = 155931025623344071446679935343388859703663273796990119311570805\
27029754425935469272573699765376
 
ngd[50, 39] = 356692912854847377005374107950726631279898252305211811601395719\
00220012780439339785540440497297168896
 
ngd[50, 40] = 445265470197885615831553779483245442314137291525234922408132053\
21939727315698887697550616295935701565777504
 
ngd[50, 41] = 334047281685474981886145355389673111771668426404724256569347257\
40721595213241333424609983016856558305417733314560
 
ngd[50, 42] = 162075359524733372428680159375849112107577037821704033221412890\
91938701112296146844149537121749794920445239213021235712
 
ngd[50, 43] = 538599888500589510945565244514899530820075945285258660188700840\
1929581062525645330618995159885509677549624116956733111612416
 
ngd[50, 44] = 128351500709121245742011576432391657777088812760935557251846054\
1565912823859671086182163476568877925880676552597924868099168078464