ngd[0, 1] = 4992
 
ngd[0, 2] = 2388768
 
ngd[0, 3] = 2732060032
 
ngd[0, 4] = 4599616564224
 
ngd[0, 5] = 9579713847066240
 
ngd[0, 6] = 22839268002374163616
 
ngd[0, 7] = 59784826879213051651968
 
ngd[0, 8] = 167582048618131641744583680
 
ngd[0, 9] = 494969045182399313066863854592
 
ngd[0, 10] = 1523518586630208047685320103020640
 
ngd[0, 11] = 4848574209587640360944749417395806592
 
ngd[0, 12] = 15861659163357875379649383594825063693312
 
ngd[0, 13] = 53104452397977547353170016926818360809937536
 
ngd[0, 14] = 181329295335668565853224107209462953478280539680
 
ngd[0, 15] = 629761514134241866199843181466732744257072886234240
 
ngd[0, 16] = 2219735517283417787443304014739976167388916821569399808
 
ngd[0, 17] = 7926162499612728444462568628747175959887822466713200918144
 
ngd[0, 18] = 28629582250241827417796910740022600994769396720879803425382144
 
ngd[0, 19] = 
    104475877483095009812594868796288036975891482808132751854147286400
 
ngd[0, 20] = 
    384776146007567590260204544161381725901859097309503217090934230246400
 
ngd[0, 21] = 
    1428895959865580159586456869511626042221879356134244913227256936654279040
 
ngd[0, 22] = 
    5346349204631976793119506396854404304811991516442692139186776783187644628\
896
 
ngd[0, 23] = 2014128055671476032513487441142674829762313030240104267468064415\
8685756961247104
 
ngd[0, 24] = 7635472725509596754621796484011722255227616208833930923166529192\
0598340963091741696
 
ngd[0, 25] = 2911260639208776458102917041875825069759262111428400010796664344\
91001603719104163256320
 
ngd[0, 26] = 1115901946480284596978812892797981465029917556768310344602771706\
718878065506923393110159712
 
ngd[0, 27] = 4298298248984022495394135938686386527662972700588103728529066380\
442058844593071229161179304960
 
ngd[0, 28] = 1663173092573040675037783298790624016135123241621938107729424801\
8060713919588824611829005439142912
 
ngd[0, 29] = 6462639677349393300305039351716543239825405273816536286931403254\
2676248267152159650297456024278647424
 
ngd[0, 30] = 2521095921622225901067084347332455814131332852538594078665403487\
56091032697626959418594749154124463692000
 
ngd[0, 31] = 9871050352838764285021462959804805964368893834836221794276277752\
05480534552047498911677176729570742680380288
 
ngd[0, 32] = 3878200848316917146585784859882461675943005610358966652280531505\
121583303398990535647368510464262321109822434304
 
ngd[0, 33] = 1528614326468517721440524475109405748839574800998082317821346755\
3063596277582568691473212959595961941053672516674688
 
ngd[0, 34] = 6043413341675582001375554482420604209618747439182487448303300603\
1686284415350347631340757997366389617073233326138296416
 
ngd[0, 35] = 2396110165190721475828946058847998559926915299519411214605689911\
75864216012380710515777785379680911221669056299311125289600
 
ngd[0, 36] = 9525794970740818699829927083045749160502880226431905264778151207\
86077310248958747085279480505150779159843587426491778826739712
 
ngd[0, 37] = 3796656262227740564716103958760229779937236171444982489969057626\
024177395678521379675155362778594358946502840640478698965888034432
 
ngd[0, 38] = 1516867785055185438272406993296254018208690843108748764137507379\
9971263980667089612097692646582870560540706417957519478871953411099296
 
ngd[0, 39] = 6074156797692549517329075640262955101949434127940945182533493591\
6632183821643623528157795215676911669239057685216726235567703129198028928
 
ngd[0, 40] = 2437618117875623228175255092677225007426499993716785502416260551\
36080629863625752761591771788457918154106647457129415154536021174119107650560
 
ngd[0, 41] = 9802572486179943652803240150664991973327084742610790458177188161\
30878285570639161420583953489034981035123059021097588501942240041519060042188\
928
 
ngd[0, 42] = 3949716132460839564963981721400752026155293843248990951795740719\
25887491214400526861973180901293927394735076207198519203637598322846309021131\
4791328
 
ngd[0, 43] = 1594420622299390949216681125317419863494732463119640960673691703\
21566134602262809210970410714383184479752675354456276817840959732675894357695\
17106114944
 
ngd[0, 44] = 6447831368961936234941451659443445552870764535754719639241674540\
98331585358385652957876599581341095232248248039144793292405677607101519452604\
92983949499392
 
ngd[1, 1] = 0
 
ngd[1, 2] = -504
 
ngd[1, 3] = 1228032
 
ngd[1, 4] = 79275664800
 
ngd[1, 5] = 633074010435840
 
ngd[1, 6] = 3666182351842338408
 
ngd[1, 7] = 18671166219179734261248
 
ngd[1, 8] = 89127323457472433479153056
 
ngd[1, 9] = 410069288348413498900045576192
 
ngd[1, 10] = 1844516998460190805630736224850136
 
ngd[1, 11] = 8176167929691849907244029623094963968
 
ngd[1, 12] = 35887249006019802158221074761966095277088
 
ngd[1, 13] = 156448562697234150246632668933548805372023552
 
ngd[1, 14] = 678754567930007008211683291900500017064529156296
 
ngd[1, 15] = 2934642742750909124111989321325509100464012784792576
 
ngd[1, 16] = 12656467342565057181924551041966823436066433006532433312
 
ngd[1, 17] = 54485380725736921455813106790416397450029202387951487295488
 
ngd[1, 18] = 234246245305110784257698797744471185638291866900923039354159040
 
ngd[1, 19] = 
    1006118691902906205354551768070948919368818598712179277939088037120
 
ngd[1, 20] = 
    4318456081271503907676977278146750490210826428686297044721216229132512
 
ngd[1, 21] = 
    1852679588645992117180361809719832916805793894697315729838520601800403225\
6
 
ngd[1, 22] = 
    7945717980415114359738815960035266935315130855752678782435298446844094753\
3096
 
ngd[1, 23] = 3407058661116907577510477331848107562845976402777494912716087698\
66599975698344448
 
ngd[1, 24] = 1460764965282124268178292185913058281749462291410538070966445299\
895974229083729243168
 
ngd[1, 25] = 6262775554268398418989753740954677132479330743715001568872474524\
287904178786640458173440
 
ngd[1, 26] = 2685119379916166263912263163082525985292219323233060819989688263\
4197743686221566854621528856
 
ngd[1, 27] = 1151302981585975518447748556229779935587453229766699478897140141\
30463096804362614968172164938752
 
ngd[1, 28] = 4936961213235944418295156298316527572971128449766676730419575617\
60999886248308466961286643444058784
 
ngd[1, 29] = 2117314101641566685079590591640280670167018058614970088059741075\
342053640974142839773361943957985734400
 
ngd[1, 30] = 9081867151937468816638305943848700996533177116921863608057413759\
238490052754253326571734790698703946904312
 
ngd[1, 31] = 3896152732524594564858474803962748729422030188028678934522665536\
2159289948905249782394607048092142746593597440
 
ngd[1, 32] = 1671755639322467780026150720761418272873236638884942609359986754\
21856296519546664741291744229931618464105135117728
 
ngd[1, 33] = 7174461350872751559520220617691924727742052720239167385248354457\
67891869762025967479248311873722697619295618394763264
 
ngd[1, 34] = 3079555935452161471935219462907019334868475656164518169905867790\
852166034997750707520542733887886599940559206964987755480
 
ngd[1, 35] = 1322120194267292197404864796867581740369385196925495246921099716\
0246285857349624471071999071085631782005274311308350389250816
 
ngd[1, 36] = 5677261351679341969953048025378144304663019723822196192345149291\
4829169780893865576612099652765319166802886674666668349775916288
 
ngd[1, 37] = 2438329808272412001186080544039096772125237216291674769680592616\
13068698760979658815655637420697200441982901322235042143395625475328
 
ngd[1, 38] = 1047446088811197842812163643357577881945912169452847246037975712\
251119096731157393540599358960496078471189249598477672092480871504970728
 
ngd[1, 39] = 4500453548310368711056969645227611841460684154164536111963382274\
652991790561247243317615260584383496581168336565624114026609447849900008960
 
ngd[1, 40] = 1934040997211673105160964886005759587020657028595688598525531350\
58888946893677296416144809418529091449326543486400766429832034329346844116072\
64
 
ngd[1, 41] = 8313024217319198512190724622089239949969825230014840064498952558\
30201068450852006120020623436813901444708366999793081823154377444261105551887\
23200
 
ngd[1, 42] = 3573842447659721902630218216387453304043352064782050790296846157\
88781307254225650384732008871854795332954001130964414570259759035657477808126\
373777448
 
ngd[1, 43] = 1536716014630930923666435892104493528847610904565929973602329361\
51256476038711097408089225012685603667919270553998134387342675012213370171777\
7532166670080
 
ngd[1, 44] = ngd[1, 44]
 
ngd[2, 1] = 0
 
ngd[2, 2] = -4
 
ngd[2, 3] = 14976
 
ngd[2, 4] = -13098688
 
ngd[2, 5] = 3921835430016
 
ngd[2, 6] = 128614837503143532
 
ngd[2, 7] = 1759584454551251380992
 
ngd[2, 8] = 16963997220439675876039680
 
ngd[2, 9] = 135009411809416018543427880960
 
ngd[2, 10] = 952192520084738080676278687189940
 
ngd[2, 11] = 6182291263686153189300170586820324224
 
ngd[2, 12] = 37803697570052153357663447624693258184768
 
ngd[2, 13] = 220930239510290729915374395921475396018766208
 
ngd[2, 14] = 1246376640308489414091436804693137742117367588188
 
ngd[2, 15] = 6835859571620350182247405684631349839946940778441216
 
ngd[2, 16] = 36638940398691250147372963233058407789793714518145110528
 
ngd[2, 17] = 192663381138644397902241084161877756804921919992123011186688
 
ngd[2, 18] = 996949736822152769654378846743088372929045512852414027178760736
 
ngd[2, 19] = 
    5088574069682078218565857560937505855146074790069294836126228845184
 
ngd[2, 20] = 
    25667987375489593106562033662395488624299214458619027399896193327407552
 
ngd[2, 21] = 
    1281530157109545396990765357763228968428592668441210942377352449545582176\
00
 
ngd[2, 22] = 6340977490249700397035607289614394944396796626763675066219201872\
19386044642636
 
ngd[2, 23] = 3112648662562840139658917422439058569497190469610260078230030783\
701074339944241408
 
ngd[2, 24] = 1517166602314045821930527688373542385508888331289773447062956765\
4342487624214094098432
 
ngd[2, 25] = 7348349987683840315918916341500888048511551510013929453668199115\
3174678595798566221156864
 
ngd[2, 26] = 3538966559774299085153467361330378924416793595210213223173290241\
45802037086876004740879784404
 
ngd[2, 27] = 1695630012300137431046834195392727645287133835643334419023527028\
707194795452840324252655743155712
 
ngd[2, 28] = 8086484358252430491133752431113290340346484460258399730017789779\
763929952377564049014389359098793792
 
ngd[2, 29] = 3840094325283547031939125151190875983169224452002435389849067325\
6863875628331279398742161618723806332800
 
ngd[2, 30] = 1816497259549737472671358097755256943058956408552503437168909167\
59535601464790440640032548514018764497822980
 
ngd[2, 31] = 8562030717489612231985549457689068240929375869805368017598143439\
26796335398974707299198936559978950511419956224
 
ngd[2, 32] = 4022448838400356649704962813782398608970795665692799213839452922\
554697488655461302979098800909585326463221183449600
 
ngd[2, 33] = 1884017396436499387458444615719135701425514374145856972960617241\
6969101486564685429452593771572701440285770018813049856
 
ngd[2, 34] = 8799482710478687871021599991874266299427720099022298773838627654\
4316195413518871355107451649366297710438863595313335991060
 
ngd[2, 35] = 4099155071768278138810562221152897194722105633935268574966478693\
28748834386968884015003947422815076171314660456857692039082368
 
ngd[2, 36] = 1904911806624308452984942286204663792581952563510370549752361934\
943354408483490353518225350520399212159029732073736105041802702336
 
ngd[2, 37] = 8832210655951265322512969666127525132585980956461805046395888309\
189622578546191157293605877381710607572973324128538019553570978355840
 
ngd[2, 38] = 4086410451322370703918812183969810605941606716797101332708772822\
3857168857899411823957729408631969594874488158514269224923142600688039852
 
ngd[2, 39] = 1886907842559023861948773292103105423867431443570325360195442902\
53008883456028360066811677424014023488588522248021905920262501572146246798080
 
ngd[2, 40] = 8696578948812767298599870419428165513448812736572959084697489046\
52801105797490802009067640702240898080189284986371671098675854507928723416205\
312
 
ngd[2, 41] = 4001138275027640543984059095109514411715381256227821905011638328\
27070434987900271891775881254655195752210525590399413024401907074012985679135\
9503104
 
ngd[2, 42] = 1837808506784760705227667041673310337833184428077861033037792445\
52791298941326573393129435107971537755462241986592184125758373790560040910300\
48124687948
 
ngd[2, 43] = 8428282895661998732379337674672728643191612955245828426769936967\
14026947657010466055186567667440993621275423917831729941721164290181129259606\
51616105088896
 
ngd[2, 44] = 3859556530479231362374846069391227893590626685719550042643490875\
91875903994349714932609150379027745280416108810430383859614016254670003304081\
853842383147400768
 
ngd[3, 1] = 0
 
ngd[3, 2] = 0
 
ngd[3, 3] = 0
 
ngd[3, 4] = 87376
 
ngd[3, 5] = -5731751168
 
ngd[3, 6] = 482407033529880
 
ngd[3, 7] = 49712112285064904448
 
ngd[3, 8] = 1314088175725136675769216
 
ngd[3, 9] = 21093667591756935596530810880
 
ngd[3, 10] = 256021296713660192568147011683704
 
ngd[3, 11] = 2591980712510718841057748482383847168
 
ngd[3, 12] = 23096187352697028731170925651365686993168
 
ngd[3, 13] = 187183150275771249390664395950810248397607936
 
ngd[3, 14] = 1409948211373377594659914769573996106252790524368
 
ngd[3, 15] = 10020042142388007202422250841220843777413486191551488
 
ngd[3, 16] = 67916989358142784464930506401119374624502202916951192064
 
ngd[3, 17] = 442635558643236566575020364343365025912586400107834103959552
 
ngd[3, 18] = 2791041101235703894632811017921261249183459063774255156494460928
 
ngd[3, 19] = 
    17109829975451300132624566770164823750534180954539020834289433870336
 
ngd[3, 20] = 
    102368022569061300412413124956390203911073180639065661004929389488084336
 
ngd[3, 21] = 
    5996279922854174317182274832314331530284698447774875449153155373687328504\
32
 
ngd[3, 22] = 3447580571736131897216026432609976086008030076589989303158185084\
845191157010312
 
ngd[3, 23] = 1949794167215971741177305202224948522211281053623577563328764280\
4663660740843479296
 
ngd[3, 24] = 1086633070546395403225082858595822814154299396549094330235408116\
54956085318436211927424
 
ngd[3, 25] = 5976626030255641957390313008177018625840532693003753993845135353\
22496242495835744250451968
 
ngd[3, 26] = 3248415301676592791335146130257531416173259743428292565319408842\
599599980285431922907859686184
 
ngd[3, 27] = 1746683943904686361330844518393442983944067654468310568787152956\
1677669469600089478508701421984256
 
ngd[3, 28] = 9300470823371624301513055338862869668377018622942234412197406217\
8649045479724686305763927882920611024
 
ngd[3, 29] = 4908064464113344700926143502736408294713715151954797618822638377\
43319034147838569672680054225076410882560
 
ngd[3, 30] = 2568929922461146458309444695742390927264382684673783435707097717\
953431534730582247742088297241653948250215712
 
ngd[3, 31] = 1334488884775507572703595346590923951137651483248833221702816078\
4759691658564772548657081863336500411515926062080
 
ngd[3, 32] = 6884147428405283433004825504451627426643892049608400281314121873\
7553618118300075124693487662544068233570693655434240
 
ngd[3, 33] = 3528434741837350569800890628912160277320997579251672819243029311\
83126371149417779467788159397196757590432944795805160448
 
ngd[3, 34] = 1797675332626189756355601562236962713090898503685663126285030450\
697030265867534034993283979029194978491061352965890319340288
 
ngd[3, 35] = 9107888069418294742584488037798877331655323149279786352686538653\
346383074232121525496141813737471216242675744361287373814411776
 
ngd[3, 36] = 4590537732823599334762903595325190490991906466794549139435421952\
7610551624099589653584692377211979566906497700501412108405290281856
 
ngd[3, 37] = 2302478200214220997989952715451403121218873266890436137009576836\
70279932293689209194361532134661001453606855522105792646559514178364160
 
ngd[3, 38] = 1149599525996845937921736752805641265507299609171519861512115415\
359994492217305137174853241858069616795302562352603553717978900012944426904
 
ngd[3, 39] = 5715282355226754535008870683647141516027476198785268113005949746\
00666089619189747276730479984092538969993930885285929523181159037543134918118\
4
 
ngd[3, 40] = 2829953086913296176003323943114768172588356630364436412410678403\
99182416659659387949577960410335474269902589816970462995523302067056884789850\
67136
 
ngd[3, 41] = 1395957373829999787614066424250598052488635401799606145325282489\
61921479889227244450198596276051274942008358604001047986659077181524906512113\
211042560
 
ngd[3, 42] = 6861341184077296476475063414415316058409612536421657323218997945\
57385140104807965186993048954842873353593130108232111108291461983065794119612\
079289499496
 
ngd[3, 43] = 3361049323006013235600340811265941753582824840705977189118077493\
64744215647933840790719879998741146378883116559302995697957009790302730748253\
0846014679960320
 
ngd[3, 44] = 1641149470266452848059763682959397387778858970006429103478442884\
27772409470230644361227933708190799897864182455323146771650444456413290773476\
40420856319793824400
 
ngd[4, 1] = 0
 
ngd[4, 2] = 0
 
ngd[4, 3] = 0
 
ngd[4, 4] = 1456
 
ngd[4, 5] = -7098624
 
ngd[4, 6] = -3978452463012
 
ngd[4, 7] = 112471703089122432
 
ngd[4, 8] = 35639922638833482276096
 
ngd[4, 9] = 1549549296214913253502308224
 
ngd[4, 10] = 37215625405885915031013102858764
 
ngd[4, 11] = 638439868466041063951173021610105600
 
ngd[4, 12] = 8764105291415741997957533679195341235056
 
ngd[4, 13] = 102519590751466011499647590214957127935086976
 
ngd[4, 14] = 1062693598553182146225098917979566061155112663176
 
ngd[4, 15] = 10020312102136982831325778094142672039268266612232064
 
ngd[4, 16] = 87546527567440259653951456465478664518199090608599024640
 
ngd[4, 17] = 718375371843015610230874498549302480762265493094095079988224
 
ngd[4, 18] = 5593107151577776211455954666618153555072167808656742312634645504
 
ngd[4, 19] = 
    41646422553928082593958788034929807283483362921769443238263975639680
 
ngd[4, 20] = 
    298427697226970438282663738111971410330846107014290896969739917123622672
 
ngd[4, 21] = 
    2068331699797079309143463451476890025026890922404805047721834416941726666\
112
 
ngd[4, 22] = 1392203562121793886223091119789878407358751073992847655155961884\
0477082644498804
 
ngd[4, 23] = 9131882124538492670827745493751822194958619184728021914990387015\
9384780940182581120
 
ngd[4, 24] = 5853630105433636871389520122968887168977605733672421866256885730\
80336564126523706420992
 
ngd[4, 25] = 3675689699989562886512935607020073340117745283305687330464097047\
162051438834598300472086784
 
ngd[4, 26] = 2265627384933262229214970157361018382963213096189499601766887772\
0889645105158963158804077274308
 
ngd[4, 27] = 1373209511992333658378229076068984302679667480266367159070144403\
66164109625131325163903187327799552
 
ngd[4, 28] = 8196790474201997481472152926603748464379831705793520562290040026\
08940560373828071079482187772493654832
 
ngd[4, 29] = 4824858947230670586152846653942303944708106370489489918667657082\
278190084817756368763900786211914594866816
 
ngd[4, 30] = 2803904197206864528966243859421418490488051601847554435106688040\
1257207910473818739731792077055129246567113936
 
ngd[4, 31] = 1610362521091416708796555748127229195388296037898621705048860465\
53695833557266762134241869589843946978049302914560
 
ngd[4, 32] = 9148702295303665066575434250383299564370812328728846725389029283\
74435431115867771783811936874954848021297553272768512
 
ngd[4, 33] = 5145419541812243168366567059928838055799515305098156600011586618\
154808364677168833097223877763948895271731423647053187968
 
ngd[4, 34] = 2866952051154930272793993461237064812958053468109680215556123973\
3999587903006101500759374366617743956121986529140912412735360
 
ngd[4, 35] = 1583576912835703465039006675612324156450285524497732673970981740\
56640162411755617923125145538832395314900910471606632136071637120
 
ngd[4, 36] = 8676205770479587407482175436634458799788129983754594339707365453\
92683184450807214426763255669884228184217751543294979216089575838848
 
ngd[4, 37] = 4717598748273793784305696913004123989457579074164898983665594148\
880850131999014902979920633727408874165886296531949676927854777186630144
 
ngd[4, 38] = 2546946572497305069866986922652008370113724306732499563014685482\
4089324932182012430901428321150974108265891576173784302413127553775647432220
 
ngd[4, 39] = 1365887080484983296218703246363054349113048369618110901287557495\
11490270993246866000943993720966781854236036085706791744580556725455129615672\
576
 
ngd[4, 40] = 7279101344273558921402954970572957267899098152577001863036411199\
52539107578649666111448577011681235240745306303686543472057692984571820722412\
282112
 
ngd[4, 41] = 3856256657335058037346939313846348651205858497238837407498866726\
89992021266850821331375756866327530463446716839763893555907870010757862647049\
0334195328
 
ngd[4, 42] = 2031530814370839135043365700196530957850285655842654757216159020\
77112414001988496584927996843671910137067830915075811588138481031020679188885\
58020632855844
 
ngd[4, 43] = 1064590707989934263063978364543240067821153376710827852803941787\
40032553329895980714480976186924108987231423547704443193148230543938321466019\
611508366580637952
 
ngd[4, 44] = 5550929534220720638944177637862071730980412266224712621314392841\
28417358240276067625868332312189830839751446933309242984342613588223405573458\
699548321637237285104
 
ngd[5, 1] = 0
 
ngd[5, 2] = 0
 
ngd[5, 3] = 0
 
ngd[5, 4] = 10
 
ngd[5, 5] = -59904
 
ngd[5, 6] = 1776341072
 
ngd[5, 7] = -1739233315959552
 
ngd[5, 8] = 110719160240652379424
 
ngd[5, 9] = 45983467044446819395103744
 
ngd[5, 10] = 2823860083964567960626619733992
 
ngd[5, 11] = 92698956650668025386940827493286144
 
ngd[5, 12] = 2108270585424289108853300387278193968018
 
ngd[5, 13] = 37379910878615027896220569598022621782457600
 
ngd[5, 14] = 552400686738156004334164654679715712467737876680
 
ngd[5, 15] = 7098868401221131173017521652997091792005197609427200
 
ngd[5, 16] = 81652823883290218752954273616654240661488321017332766592
 
ngd[5, 17] = 858134948352400889201697830920396109848524112334572134574080
 
ngd[5, 18] = 8367295396590063784897997908875722335299703809818659318719176192
 
ngd[5, 19] = 
    76583058162725147810289695174032319566098998276421542999189830226688
 
ngd[5, 20] = 
    663994946542148664250320228371725841372044926026225840766317374589842974
 
ngd[5, 21] = 
    5493430464706817445998304575012762067997568956729302795109992136156518512\
640
 
ngd[5, 22] = 4362470372190875055945715839048744536268579477595552751086307194\
5324613051419736
 
ngd[5, 23] = 3341477749229549985419485384649936801500253731362781743909549919\
49206540804299664128
 
ngd[5, 24] = 2478652594318253236639390132088733775545193397020037006597323411\
438198058852531582929056
 
ngd[5, 25] = 1786648844352708272424392039259777783568916649458865974787955687\
4484158547577361510935673600
 
ngd[5, 26] = 1255053978830713910737285526359158632605231053560412857785635793\
37244366302115474740409771766544
 
ngd[5, 27] = 8613086550708008690526595484326506011902985363641533368248949588\
70425454854772773621195807015684608
 
ngd[5, 28] = 5787021911029352613127421676391972910506995756210192096988546079\
284269838451584031641347911900760845402
 
ngd[5, 29] = 3813790651075581658820790717800284529072991454468954331672440577\
6320990711504333281222742098072352685442304
 
ngd[5, 30] = 2469269752325429682305273974024725025056133524460073749354796156\
77745253332111313477460418623598659699680496624
 
ngd[5, 31] = 1572932153502631594026138263300743542761604059215389926503323664\
727718548037421737096567911633846351843765399094272
 
ngd[5, 32] = 9870276693225657197892971069549569953836610175634089371220128460\
306667999009438718157802785871004447629459624288121856
 
ngd[5, 33] = 6108205151741520685455516029993455472093927420110839753907426546\
8441607089436657421268481153529639699272277724349718289408
 
ngd[5, 34] = 3731621652298744197855412728892035593025720092245505765095649966\
74743195390295086423017359640117979583758277984879769942166528
 
ngd[5, 35] = 2252531931598326364849674385242978979259326392277588788444154599\
688361885157475495350856805744386413461889115668856850305148926464
 
ngd[5, 36] = 1344572606336393101787995995704262228085993701478342168234991015\
9748720184769728626179583183181616584476946687297091572045728081752176
 
ngd[5, 37] = 7942442427014144067196709779323627882799880744987960445447613783\
9485617906456200813304793362122366139609187448161770555387094861727874304
 
ngd[5, 38] = 4645871574361540447530689301247277488724868454339163207489247488\
27187264734290950978227366715034266703595089784631486939257062978188068935120
 
ngd[5, 39] = 2692677071756501396267752039635380472726951521692425850078492248\
83438444742362399391486593960834859246270043415170262759510670706796403868607\
2576
 
ngd[5, 40] = 1547187162117389610754272589839057647476896221457021139452659709\
62471280859604184381488438454884551388212559762181115286866890737078219111020\
61678176
 
ngd[5, 41] = 8817796440619854253030493623860057898435855309210878126393089734\
92225951900352193974446274869972360818713218006650495197780511248239108301933\
06002367744
 
ngd[5, 42] = 4986948489301377399293897490897674794817705172912258825755710075\
03850446077577026383077602110891181174322610526575403824325970007953297140202\
995717581974344
 
ngd[5, 43] = 2799948602789359893862028153830500292440136726628855582809060745\
81820841230040480646174392576555783292633652289276987249148747724994532859820\
8268414515911638272
 
ngd[5, 44] = 1561255118802154346002266997196405552528950949354767680165123677\
77943001965541770176954803229167556485254774132050795458721263643652980907176\
41026660749069636368098
 
ngd[6, 1] = 0
 
ngd[6, 2] = 0
 
ngd[6, 3] = 0
 
ngd[6, 4] = 0
 
ngd[6, 5] = 0
 
ngd[6, 6] = 18680344
 
ngd[6, 7] = 11762488063616
 
ngd[6, 8] = -1010567040305160832
 
ngd[6, 9] = 291190289363839690446592
 
ngd[6, 10] = 99036989085671877413017533404
 
ngd[6, 11] = 7648135808217340687743583376175232
 
ngd[6, 12] = 319295272955811774775139431509223844256
 
ngd[6, 13] = 9135117124677537968234881235301802505282432
 
ngd[6, 14] = 200850956145655855515985287488811479381295689548
 
ngd[6, 15] = 3629005156115102234640477067456910162392328151209600
 
ngd[6, 16] = 56277188957098184130225624322237205632061301492539005184
 
ngd[6, 17] = 771926986102754988940978249979389411334387306153718620736512
 
ngd[6, 18] = 9571812850551717406736887591760497222566212004601059095681027616
 
ngd[6, 19] = 
    109068728206063970849994759718478519157132546116555803531864875007104
 
ngd[6, 20] = 
    1156602121356847767953310129840781577051536897065527202446449665457187232
 
ngd[6, 21] = 
    1152860766463512136117067529007599523987069030613060866381175196402123731\
9424
 
ngd[6, 22] = 1088830436204545272769258304856041356741914235311715838816244020\
07646229133164676
 
ngd[6, 23] = 9807908238537524762401712241281538555000894593153651579216096557\
71533529531664292224
 
ngd[6, 24] = 8471827214988128367815348591906474057659741865194495489771489769\
957005573333462970234240
 
ngd[6, 25] = 7049059921859425494683639681425377320154181126488461470060797394\
7601083117542304134321390208
 
ngd[6, 26] = 5671579312450590693345607797203249547558987229328780221360610077\
46623053304118518487941429498264
 
ngd[6, 27] = 4427075052245546539580303030017697024829077143119013985378485357\
730769479404600241930595475300587264
 
ngd[6, 28] = 3361962888897111166272716336276229118443676169054017698214319177\
4315767351152813349328454409455835983040
 
ngd[6, 29] = 2489959487658890594996180061705706683651039049610122503128384258\
28651167163499152493957689752531886029973888
 
ngd[6, 30] = 1802353784677014418933304887352003194867047121432215914565341534\
649772814402066116562058271378974883972737110792
 
ngd[6, 31] = 1277462688453488856119653297089956501948985834298232777539840083\
4412485661566063852097662272139074418924546297541120
 
ngd[6, 32] = 8880420801520557643707785307599797962538275308033441203254187993\
0371571999688069467504886872246912025436202985612529920
 
ngd[6, 33] = 6063617506800636255500924653808286630653904994965896449637356270\
52576693497218279575140087129171982365450310084595061722880
 
ngd[6, 34] = 4072017192068856017955658654833634070299224680662723544260432867\
972679018911847689193509484836591724392648592619944474974326784
 
ngd[6, 35] = 2692614002117215147708605241991220304438616480616101045997428647\
6676318885215577165757330217987206614149924293771112683736898811136
 
ngd[6, 36] = 1755015663715565564742292652267424033885804039186365802001933527\
97797666984986563500001058877442136878685237048757037564375623586298496
 
ngd[6, 37] = 1128603255380266359630562485794473783954485726342963871428446631\
810856078123786936812190346587495334501025945282322530886644660226858395264
 
ngd[6, 38] = 7166827766060325043967154619653538699822249157573340139413759777\
98441063793878318767116725271892722680699735189793721531962988050518720663941\
6
 
ngd[6, 39] = 4497547059816988911719590135017979721446711402775620785247506661\
01739370876756464242959419109549299908740979493424615021037521276835033307388\
41216
 
ngd[6, 40] = 2791226530690485751365109461748370327432615971809582079980581379\
95744430544530480580987949879130776350079552382834162835994779579503413859796\
163231872
 
ngd[6, 41] = 1714217510545906106521028529082252712571859701695424482674851491\
80894560582530420496024918626737585963623521185129064095372232847832908534503\
9334030460544
 
ngd[6, 42] = 1042426424371168399295742111639559093712807021832434271520895197\
98491320284361468657034048971360999868946370392884611123074693684655818956673\
96666491358959116
 
ngd[6, 43] = 6280144068917704930101232635517495568702341442226791341979214725\
14252209577232460145863981591232353160614383879811060769471069514437483896581\
58289599780334291584
 
ngd[6, 44] = 3750211184706383820038970029158271828620332089127395245400567227\
33054075837706066350378136033356509408675202354089018351899687567466316060979\
255907685702483550645088
 
ngd[7, 1] = 0
 
ngd[7, 2] = 0
 
ngd[7, 3] = 0
 
ngd[7, 4] = 0
 
ngd[7, 5] = 0
 
ngd[7, 6] = -7176
 
ngd[7, 7] = -11354017792
 
ngd[7, 8] = 16904148222154208
 
ngd[7, 9] = -625918662939977011968
 
ngd[7, 10] = 1154038190598493469879482752
 
ngd[7, 11] = 328402224652982565054701917236224
 
ngd[7, 12] = 29505802486972204455350678294151027336
 
ngd[7, 13] = 1482384406941634214738648732265125906842368
 
ngd[7, 14] = 51146364185958855139225120910349776089025768696
 
ngd[7, 15] = 1348265594685858688663979762477662881896479471788288
 
ngd[7, 16] = 28970340295119408176819365925846376727310980124675006208
 
ngd[7, 17] = 529688751674203022872374528480821277824590093288524815092736
 
ngd[7, 18] = 8494491533706529834514255046026432035440641414623556395652013368
 
ngd[7, 19] = 
    122175384674325143204873946066518982175744622372354861125192005137664
 
ngd[7, 20] = 
    1602930296402872382703718614828745200011024208840709619579766735613427080
 
ngd[7, 21] = 
    1943853321403789764366563444575206689357195905973141874231384045105795967\
1040
 
ngd[7, 22] = 2201881420371678809386689692089230974934248972264983512034310784\
55461476675641696
 
ngd[7, 23] = 2349645574590789997521251268061766498688250451643071793315046098\
022488301208245127936
 
ngd[7, 24] = 2378632367681478220456052936616277898418895754932743354615325462\
1842321180741777338424672
 
ngd[7, 25] = 2297727686892574613367626916999684700214452258180777598554300531\
36556867774631944237735134720
 
ngd[7, 26] = 2128362730621662964342942724777018097883543023684560306307626294\
409707711743079739359367973048032
 
ngd[7, 27] = 1898361424008894331431197875962513614490962546785472066173644065\
0569340004182605975246228410263546880
 
ngd[7, 28] = 1636253564208292922638655596647721306006483714678671251697776849\
77660411510672206571410116370149207937264
 
ngd[7, 29] = 1367105856052373420363339890647405804498260952658933011945954270\
865166185160768726925806746273251367547047424
 
ngd[7, 30] = 1110198811311484626301623716894248394739797598990677625924707113\
3289610886987903380329108351416447473726039679128
 
ngd[7, 31] = 8783519977438090306040782181266263795178008479025825294079664014\
1321054740619741265171780689615680284383781060928000
 
ngd[7, 32] = 6784313222796581110075413077850833736873225665820360208154745466\
89293643617210956758480074451742667998452260028648851968
 
ngd[7, 33] = 5125186826041327839763905879275173167684354275854065096047063188\
314405291710678368726960580990568366652490154234272324458752
 
ngd[7, 34] = 3793054898489387622378260586143111284635176257833702228766605633\
6417222672372833425510490128275301530671344715213671052286475136
 
ngd[7, 35] = 2754088186521492566854006341815057194997244646375050162339282111\
55629616448912065332457317554564428722659650627985868515795414184704
 
ngd[7, 36] = 1964465638356426708336267832420426936445346296460966565425684297\
048665988076220497213495669544840750867561286050467465717753731697363744
 
ngd[7, 37] = 1378164511420246633230228659278104053189852599521442533455018723\
8776084736708232527341288628637688405214049376314186998836464996113799802624
 
ngd[7, 38] = 9519423978887698580773198196285535183230197025520951705005746080\
97199534914445281959948159851043336148689224677299016504041206963430647291436\
16
 
ngd[7, 39] = 6480270343593515653625638493237034800750937473706060587301573868\
59407601990346703132844783837782286911807420719145628871959129931966867147166\
269184
 
ngd[7, 40] = 4351413892752802758001540033938571738463275994204584064036486084\
60175868142445827259190713663337469175730486420174475907063656584085915599924\
7190795680
 
ngd[7, 41] = 2884502923789171826634921602104343519176869957147353613224378020\
31826778476085825617275582451447546156764262514053269286418603517285086933989\
74199352738048
 
ngd[7, 42] = 1889007713631368955198179729313787039172025564857406760195701531\
93137706507755100024183878175842901630057475151744895690573391328767790970192\
500842311415415192
 
ngd[7, 43] = 1222956713055084577749897600762064690613755217859338367875892635\
85601138356369334117498701979811996268084784796912746496569447092419415259384\
7730176007940872177664
 
ngd[7, 44] = 7831986616378015768715701208828538872415453529708238665169085384\
77542612649302048599623401242357582444316123814930303364715145188994467050179\
2097110321069335085411000
 
ngd[8, 1] = 0
 
ngd[8, 2] = 0
 
ngd[8, 3] = 0
 
ngd[8, 4] = 0
 
ngd[8, 5] = 0
 
ngd[8, 6] = -36
 
ngd[8, 7] = -11017344
 
ngd[8, 8] = -143734260919104
 
ngd[8, 9] = 20298741539218935552
 
ngd[8, 10] = 1874862214795241473525888
 
ngd[8, 11] = 6135906693042880400441252822784
 
ngd[8, 12] = 1564576924039501953499063589940827712
 
ngd[8, 13] = 155805723666489977665002821699711480273664
 
ngd[8, 14] = 9039246339478171200544470155775071050370740540
 
ngd[8, 15] = 363688576238678445582177160111527738922202637634432
 
ngd[8, 16] = 11179712680998697070016249771976426389120934568192857856
 
ngd[8, 17] = 279081834053075242925096488857853382631935163285299647337216
 
ngd[8, 18] = 5897513604284297371271802092396539258127842405684924045194755228
 
ngd[8, 19] = 
    108689514661693110382085671285076520874398901422636164222367625599744
 
ngd[8, 20] = 
    1786264423111684519947146653911827938767985546508949676215015500321936448
 
ngd[8, 21] = 
    2662977861902513942996311881452087688581013649798681190095481334533137544\
6016
 
ngd[8, 22] = 3650042028538042577326281917716293041309643069077550286173271022\
73467478697116144
 
ngd[8, 23] = 4649740828973502753497835968939558379618174287414381429918110714\
036342766816826702080
 
ngd[8, 24] = 5553784013254057699211116563557987047702036177175409538892982093\
3952883043010132547639232
 
ngd[8, 25] = 6265369988846127902029797081889023837304461781272749712015302644\
34675978149504751061698487808
 
ngd[8, 26] = 6716687484885771579564370186621732171368281109780007625637516790\
953476722220750187088166554297104
 
ngd[8, 27] = 6877959728436870851845918804823168751143166667172911135765689421\
3000672374659054170163435331523726464
 
ngd[8, 28] = 6757376600724486662548840209048548133720074583804658691169909973\
60810716173744790385413541854320879334016
 
ngd[8, 29] = 6393849696007136565083783225511600961252543004539767670841235199\
689291736882970928723649791965500260435048832
 
ngd[8, 30] = 5845822775184024062245697450397589500756344909560651329295879011\
6019756750154384423163839253082570018408675550028
 
ngd[8, 31] = 5179400341800409619483753208947302099645734657798432812900565471\
58848886539620515271280796701470591965503469313158912
 
ngd[8, 32] = 4458243429590253366722300753012634746828625916567350188718733352\
489282606679173652710478282880326011838527817682252113664
 
ngd[8, 33] = 3736545601943204385299195288417603378615525338048597151154820875\
1912305266296632791827988714696140330710499186835002289669248
 
ngd[8, 34] = 3055356652262507928349936068883733328550707956099821407451770100\
60282834957928123326911244914972807283013456441894634039468038848
 
ngd[8, 35] = 2441790845655067149764589285163621024339795673658845290010436615\
412155046162072304175356531142771552224187364583075343178213251264512
 
ngd[8, 36] = 1910291394501909453446230115417787101249437643810035264264041812\
0315443324118027790519543303048364693999395669850037731510882636186737664
 
ngd[8, 37] = 1465061111351978208081558099328151639958383724425175952313995210\
03369959895812346632694931893961723810998565957256838749416499496294017869696
 
ngd[8, 38] = 1102901852547575740145122405922410335175464973256022385233157879\
20239929091869329299161109647674399233003857115664193368673726646100712880446\
1952
 
ngd[8, 39] = 8159251478972691568609134059719966391902570927106674704383163067\
43457662955106999682732283832793202654282863506467577055590854884936162642534\
1516032
 
ngd[8, 40] = 5938231627345895670738197955552857630423651052354854628958641920\
84741302774737663875511615449061455892941663835187150597554494974720549174747\
90935050304
 
ngd[8, 41] = 4255763979727739732202298746485058042679212829447025633995768904\
32231442941230368935326062244450479424975003664482443647835991069615591568146\
558519305796608
 
ngd[8, 42] = 3006045985519384660902015963557764058412562405208200004665063077\
04380521207438203621115063586541874944847837421674091369002991791792877960607\
1077553931821184076
 
ngd[8, 43] = 2094418164690401587059268939749814826775754746564386514032454591\
20901620492335203050744676566374371670446237894104422748322445338983265556685\
92950230835400758577408
 
ngd[8, 44] = 1440470127054265230162451259064195251826655894950381866512995970\
37229535681183355942411371537355604854393910566820831721533021864386155027184\
834952536872028092191825856
 
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] = -89856
 
ngd[9, 8] = 397727244436
 
ngd[9, 9] = -393180819459024896
 
ngd[9, 10] = 25982427556562580732056
 
ngd[9, 11] = 36795866280473868535637468416
 
ngd[9, 12] = 42855990609225786769604510103246524
 
ngd[9, 13] = 10160724073955482537394074716661751783936
 
ngd[9, 14] = 1087657877349165234699198958267991533565361088
 
ngd[9, 15] = 70667252282965147467990031032756604207301589335296
 
ngd[9, 16] = 3228473840260526700872830563589625677022243247155477664
 
ngd[9, 17] = 113117463476067764045964451707067438136040271379161447258624
 
ngd[9, 18] = 3216752795806996900358522518358602971539440779325897153604940768
 
ngd[9, 19] = 
    77234602810568659320553789025852949691310139376272432656227621199360
 
ngd[9, 20] = 
    1611537825090290579090081517827901555195590595611403688041550615924064444
 
ngd[9, 21] = 
    2986628869374387510223267763953072327983740192657625295007069628132419010\
2272
 
ngd[9, 22] = 5000381480468060719235702890663149826761847922271650771666574933\
58032473354198120
 
ngd[9, 23] = 7665898924581816622741009881275040124861698989242704267891392719\
247851790495462032896
 
ngd[9, 24] = 1087931939936009441493006044494191771987534584371189313792529660\
32315752949624368245972068
 
ngd[9, 25] = 1442166142919697062569982708745591660360952677407112233627908725\
221811835888254673290095844352
 
ngd[9, 26] = 1799070770518930399213149618855610516926711283338720295629564796\
2000747099166304990584761109687704
 
ngd[9, 27] = 2125362890735329819167084802566045629659930912279091703730652015\
63968425790276626077694373481315695616
 
ngd[9, 28] = 2390529743681557869387983792126113808033838859010040330152740974\
671715119529238017906920830976573951902776
 
ngd[9, 29] = 2571733521641741881391645417365908968923717970366068374103809785\
2319994409638372197442385620502854062026434816
 
ngd[9, 30] = 2656767454172240138809812730798528176314624197912281664127012633\
39627254238293386623864524691047891347585686998296
 
ngd[9, 31] = 2644717539599197469687149196070353668776483453537533753428848054\
626394849459603014087811978669934962889492800287720448
 
ngd[9, 32] = 2544603376959604977476073048794690813629329593981085500761235367\
2135659877011758636851328783567708463246434166700084930944
 
ngd[9, 33] = 2372667454770227729657665377563089617579717915179126346146898908\
67194852552601931620648393759470672097068678219427316374640640
 
ngd[9, 34] = 2149109028005926539875568177952900042412901883033514928018047071\
486376354367336687701975624215898160635087422804053459745991925088
 
ngd[9, 35] = 1894964172551321559795414284033451327189704275668450012016183863\
7871355984207399672529708791421717723177762486504744186463169235490048
 
ngd[9, 36] = 1629611292877774305970078809974378008390615246282115018496863535\
20713605591584213561467912755745944078068830547076428839705108302058969536
 
ngd[9, 37] = 1369126346572200259406191042932293291042029258686099389977974201\
73098347255398621465159877233142052003584842853317210924061018965239485419161\
6
 
ngd[9, 38] = 1125493691915020698883300051545942229063008791400514462802470099\
83833456068291834866647509654327492834836951238588339449074779794057275686256\
17816
 
ngd[9, 39] = 9065316770234436888351846850093029407967026154578560684823904424\
15097902968147911577891261069233542159225329971443272508472706189516729090021\
02875392
 
ngd[9, 40] = 7163219079941289371487512206848521866029350954486310833694822244\
74455609424002662318494488983902886131194087872810258289766145119650684168985\
187126295228
 
ngd[9, 41] = 5559234581850988704726022336606238444155925752994673886686526804\
39825042513113180789805232232308283835556138235135945937133704327520093819385\
8949800367562752
 
ngd[9, 42] = 4241860421020334381785889264508122877152854195475862938417254241\
77732300733745732100971914853530197356993307089320160008528833949500187826223\
75042538185554199352
 
ngd[9, 43] = 3185277048050857749980090027096557373060390558718600593163843075\
12586158395466030527093871414510574874121384508509078240659915156587884555721\
473107683822588488477952
 
ngd[9, 44] = 2355962283487225605492119596500717208098482994992565451681843540\
45267014354177064805332163244955884756591310184683708491489602179023384614095\
6379279670363183765415845124
 
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] = -26309632
 
ngd[10, 9] = 4517211164682496
 
ngd[10, 10] = -883747054094654329836
 
ngd[10, 11] = 73426433212032998236767872
 
ngd[10, 12] = 516083641727403460392536046163392
 
ngd[10, 13] = 384782009047936340470502318644551289856
 
ngd[10, 14] = 86428912018382930579001873464606347671516704
 
ngd[10, 15] = 9746795481809448139520364367201460340233347316096
 
ngd[10, 16] = 693111278220042725820368730257789825020200233040065792
 
ngd[10, 17] = 35203369351979311733113860688531746905740137021864819120384
 
ngd[10, 18] = 1379746416084930547091475177411039111071603405723444771799004272
 
ngd[10, 19] = 
    43962791915530942611117955396453956226406070066575005210353536531968
 
ngd[10, 20] = 
    1181900139279022924756471101611675068219296998025020346707136482403208000
 
ngd[10, 21] = 
    2755975052795336659492599519592600329868174342125075953664949423096830494\
1824
 
ngd[10, 22] = 569325799010008441746085331324581442596093350842133052604101670\
800416490454374476
 
ngd[10, 23] = 105940735420248553319200371636490603581713455160445939141475678\
05525952102764139098624
 
ngd[10, 24] = 179960709444088842365574911797561184631796049285206442491609749\
579119132601491309460872192
 
ngd[10, 25] = 282119837831748317935133997674734769200338678384531430209210444\
6022130378312074308907540417280
 
ngd[10, 26] = 411854765354333107917929716110061775036723432170443158784961987\
93605700011437501785290421411342132
 
ngd[10, 27] = 564141087039065246507698517017371893896389500298970729404104377\
442989618189962530753019131576274040320
 
ngd[10, 28] = 729694206916739593206973725487274754052146404885745388022874246\
6444654581961198370260010615504665638874784
 
ngd[10, 29] = 896141969802576652577656511196202287042774815813188302793920179\
38222921475619774123517439684314435057488239744
 
ngd[10, 30] = 104988336301939813330135924902496334415334522093950013881526820\
5604995766873639552988672960938140396933223565472244
 
ngd[10, 31] = 117817529531181321437594953714825403470603347890348713544042592\
81421346116661547859965868732050628927648116150462855680
 
ngd[10, 32] = 127097272084561805571350610916796191437431344797798732805952883\
437314076735376613827586619063879859484304334609928939529728
 
ngd[10, 33] = 132216521656140885660470305655863812019932372175653024063906731\
3448006308352609648970105521325536196624302920502309000264277760
 
ngd[10, 34] = 133004455728249423561316402036517140337957523807071435171280769\
75976381739461077893167022169530763139090230156567262286444523370192
 
ngd[10, 35] = 129703326539920728091029864328445868686178292754570205387979314\
854569008006513202330192302003415173639310093854464323305658138485144064
 
ngd[10, 36] = 122885052225095134326190838290296450169117654401731059773343368\
4326393359435100828375932414870976953132642794161906339206393806105233170400
 
ngd[10, 37] = 113336447625550170459999365070312678757435785344055486507814976\
97944376410188222131005215449026585248290896813329732026055394770323595639960\
576
 
ngd[10, 38] = 101938110701498176520350798282054012259648544406470270900230853\
94815300114383547933197764665616252862294479857028187793381381185056304112145\
4798324
 
ngd[10, 39] = 895569380874385431609298676222427476349378045905179608423433227\
15965005783348427603534936315404907463834979403133166107710765823123365337480\
7351766400
 
ngd[10, 40] = 769646878744722392520183070907722630558135036046443054030616764\
04264315219001641879120970270013786678702247395565898048883091806995839797141\
32448776767488
 
ngd[10, 41] = 647873166172910866640429656958415644925454834574923071238001792\
74069117353813106857697199709580886602901314315791231623268211453497883742804\
776592712482272000
 
ngd[10, 42] = 534836020080482099332693444981447662714965666138272003560314307\
53469448647334315487521413599349709710727072967175498132259784505787713559320\
3059227641302005616772
 
ngd[10, 43] = 433475558876402480957113888923701913394830408129782691376638880\
70811404574950860774639752567688765453904386345195962539367620784531807899799\
00003535513978414938936960
 
ngd[10, 44] = 345273434520489549572534740414001759165668141171822421222684542\
01769069570894332550231998496031074489254828316564812108760427519331852174186\
834259637817157259336309361280
 
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] = 505904
 
ngd[11, 9] = -23804240518144
 
ngd[11, 10] = 21731272253890953056
 
ngd[11, 11] = -1825177990193585740506368
 
ngd[11, 12] = 2131186693152435115248853509744
 
ngd[11, 13] = 7687213831863093334006222292983140352
 
ngd[11, 14] = 4340267389666523038071224205469631863445136
 
ngd[11, 15] = 933474643490157819916741548107701010607312023296
 
ngd[11, 16] = 109386451161686820449906219924514767972251292770618240
 
ngd[11, 17] = 8367209759728038282374424257345557387557031953747271211776
 
ngd[11, 18] = 464555594015995978425505547573065668718977348582077469748845368
 
ngd[11, 19] = 
    20054551431175252517994772776440338191303379921029400957275235191040
 
ngd[11, 20] = 
    706038409367299804656841932692026252385866060918049332322045673997721040
 
ngd[11, 21] = 
    2098781160910011964076640004331404442914454277681393440502437270818530255\
1552
 
ngd[11, 22] = 540772332144597611398961625535892336607483657727184703953898139\
257145217760171336
 
ngd[11, 23] = 123256663941087929791338387221188629867312847002189342474558156\
85662647215015392243968
 
ngd[11, 24] = 252567149019357302725620357515017233371510369426434816827078357\
655236197182417571853519216
 
ngd[11, 25] = 471407560270693085003638029596050537535508082016159632131126040\
3904998530069060023784100688384
 
ngd[11, 26] = 810104386811581799979613447588907605593615957670398594389506620\
93548408905967925171351496509975352
 
ngd[11, 27] = 129330814375146552509602613671278015500512651794856134385305946\
7745587919684262846807262018605533296640
 
ngd[11, 28] = 193267768805496463523309701508215751336256760136772555917723882\
16456557488508521511374856665302223281668408
 
ngd[11, 29] = 272085374345047857168147141113679415445753978751792965670708894\
403365581693427282354896552584838570203187873280
 
ngd[11, 30] = 362858354366237242704876112595406770889916818996713323434165425\
3783916142941919337670103481488740643532965162738008
 
ngd[11, 31] = 460607325687227421616993708159687078855268028589687247731405671\
97280137744693854405046685512771245985519097791145807360
 
ngd[11, 32] = 558850675013007430082068730119738427546260570759179476082285548\
220948976987916111113906592421157795983636742469463204256256
 
ngd[11, 33] = 650458218899616384723956411769757069761851426491330524101734508\
4231048092442790216950388347479017286455278257777124120651456768
 
ngd[11, 34] = 728622353309323773231398236252307132046147519519035481497065244\
71477466300889578127369325724528918402799523066868306080520820840064
 
ngd[11, 35] = 787748504380180745271775867516606298883167284003760071277831625\
443735545465098241006767999216799197725395606853712084769823807160675328
 
ngd[11, 36] = 824104364253664096781519159488479609264233085043123246793738388\
3423741949314521197557954693452439181533918651190126267781021396759078032936
 
ngd[11, 37] = 836137896029338294708063178657220803408862665388290692477444748\
56885960485279967286044582440338526909550460198105510501511119727765660822422\
016
 
ngd[11, 38] = 824453178331000043178837229808116508279213322618128867117475890\
57360486928112137022077769460584987566098959731980354460907499986980481904877\
2660616
 
ngd[11, 39] = 791499719437113216852674985133267635739553880471102006715510734\
43014582284090510279398999881381604217208231696644042421659958039142460805793\
63725850880
 
ngd[11, 40] = 741072166632352618400026054338535884568025901778492330224215977\
64902706435852531135206091166792374348366089659837087734684735332954529765243\
517938008561040
 
ngd[11, 41] = 677730204989378210823673028043319981684045169599875296221317264\
72021222234750984796494936601228661392146491185095233794553752801966920180855\
4039644712380544256
 
ngd[11, 42] = 606237365688112240907024590165331039044605197582420650584642552\
88575035413077447038712925127780865098398384471091215930378408258532467430173\
83536313086417489531280
 
ngd[11, 43] = 531091148414835401717386552975871117618162627117941609977827131\
00841575969835133279586657004003508904861533371974221927437626057341257233219\
150975497932507246459495168
 
ngd[11, 44] = 456184793295105099631217452842712530979212640619759909634526580\
82093489274290803102853039183693956687147912641807801082968116757923945783531\
5488691667768927941054836679680
 
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] = 7112
 
ngd[12, 9] = 19737387904
 
ngd[12, 10] = -361769760568114960
 
ngd[12, 11] = 73683521689727539698944
 
ngd[12, 12] = -2639059510814623037214395856
 
ngd[12, 13] = 70139948288871181268353977252994688
 
ngd[12, 14] = 129596662221404448140588001209189954499976
 
ngd[12, 15] = 60219144280732354996046714370731812323192591232
 
ngd[12, 16] = 12486961285266998722661106369036550952024033349105408
 
ngd[12, 17] = 1505789528819224053059812276264720429698529908862150582400
 
ngd[12, 18] = 122257411260802589947571380061308372980555882974761199957250348
 
ngd[12, 19] = 
    7320127287016133267749470883982097953926816997067259822283062419968
 
ngd[12, 20] = 
    343623575400242473115897104120018821283042738452638209651568036083977360
 
ngd[12, 21] = 
    1320955601986054811223831785283028747242198119274747374734984419849503303\
9104
 
ngd[12, 22] = 429508142242327660898301132089656742358747661675424888300353339\
010233607002689268
 
ngd[12, 23] = 121083819109649755874327205592299943228678176369998750047933440\
58797340286381740563456
 
ngd[12, 24] = 301774697143274267986865562025291488311851715714915342386614958\
617128031596958143334085480
 
ngd[12, 25] = 675368641563052044807649139098517212408423535370776816981986628\
6918511933459315240874334288768
 
ngd[12, 26] = 137465336875369407530841277196850685218458202694885861862980388\
725748261050151959054260048358953868
 
ngd[12, 27] = 257170589040639458938141843278307081910303168690689476385192573\
2669782521395365240900121566916141449728
 
ngd[12, 28] = 446135129095880243235854174874315575262734427248624958877268679\
80442900966830939611729556934910513989795040
 
ngd[12, 29] = 723076119811039669638698988884638348475940742432105930836025872\
426023057183729258594609702567911448010290261632
 
ngd[12, 30] = 110194343128420940464296356201782314881222681707497267727469104\
91357799019907240221190291841032587366053303639124572
 
ngd[12, 31] = 158779770187693730429203526402514036976810471573536217569860532\
382865764665453573346974053341519905282598792485708670208
 
ngd[12, 32] = 217360296678564768631778036422133099612411864039448359436504568\
8452127705659213092950685647427853568529163995700375557233664
 
ngd[12, 33] = 283884737403495350558171711755503466780919084246071104657149187\
23008839654116056929794157505172652751124500254326927439963331328
 
ngd[12, 34] = 355050040582817292370942968902157778899847926362815268682932251\
064604325408051809711189501303162620113951068970470364486575790850880
 
ngd[12, 35] = 426625688865612190925310553391424396350634196823412274344534516\
8531792108549478389191886834950857511885595209356727877481371689506453632
 
ngd[12, 36] = 493948204456533326000036279980268838913912897409977941858888230\
64453279681318179556898783470650156899792681707799205559679398060565133044896
 
ngd[12, 37] = 552491034328218583958897494552179244197798161367514479684956789\
85894039216132641051612204776006292266590833535885504808410455544912627676000\
7552
 
ngd[12, 38] = 598404565172786318790098850923789888553822238117570915934013932\
08268284457160701681187217485397347981248872601985505690980858540053113700057\
08528852
 
ngd[12, 39] = 628935733766801603327482090109243605986861546817472282830348845\
46000525612545635797560219425265327343492980204724214166740425898714962309360\
923463417344
 
ngd[12, 40] = 642669388290712752890887949266094258240234969403082608597408130\
00128877478469138763314226840686609113425326038014104777173360333696809759998\
9479438464738392
 
ngd[12, 41] = 639573549966222333407480854677842383094877768212043310144518449\
10962343494998253635830005564644766408783975502279369083055535756801467724590\
58271857202097485312
 
ngd[12, 42] = 620867652043236244019283952406797450443896939585189598973524705\
09956857229616608909674744893286143594721749796464287560011107794145808251701\
562293087181159296971304
 
ngd[12, 43] = 588759312952063671854333483953829503113021078204241824705486683\
45573870893672088345822028429203671071580488603492750920977265891218341666754\
4069012278838111148272005632
 
ngd[12, 44] = 546107982939071165535502531427598582908569439411382715617571379\
95876006839624074677197437966634595920005140155608339184963246943658354852417\
61010858822327108932128180537136
 
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] = 45
 
ngd[13, 9] = 16463616
 
ngd[13, 10] = 3592452810930880
 
ngd[13, 11] = -2310836660414692187904
 
ngd[13, 12] = 225306753679128435464508606
 
ngd[13, 13] = 212683124368823974590926921519360
 
ngd[13, 14] = 2111681708275029331050587485234264044240
 
ngd[13, 15] = 2512622878773528861489084500508997709666554112
 
ngd[13, 16] = 1008983054345806468059266920503649616475434568386720
 
ngd[13, 17] = 202719454943578034168870805169005638644285375969675148544
 
ngd[13, 18] = 24981000776534539377699890787489963285485294130133106398235800
 
ngd[13, 19] = 
    2130691855063250558031399585770450718486687359401820941962260211456
 
ngd[13, 20] = 
    136075012618942384338663738186518001508168411448430653140666353967484986
 
ngd[13, 21] = 
    6872105569106950432671281687191224980325546427337499212755118835191102575\
360
 
ngd[13, 22] = 285571664343757791325610758426348752243589232043165863807988478\
046276610628770464
 
ngd[13, 23] = 100620098078744901665556958184962312068728098207541966572065102\
98382714727821739421952
 
ngd[13, 24] = 307694517249323594449037186993443826736467557299936732486513323\
922759917850817147128549425
 
ngd[13, 25] = 831885337417846871834762857145935026037240884970428371891690061\
2350582756970732718697912386560
 
ngd[13, 26] = 201850335496747117422726254845588153249312166014985924482481546\
126013267417269938308012190097792920
 
ngd[13, 27] = 445016911326023315124670534972450653830739948525568937891497489\
1432395848128333237704917550461186449920
 
ngd[13, 28] = 900684780260255238998709913137463691137947160544481650898710591\
58857748469875410821524375033173837039618764
 
ngd[13, 29] = 168805853637010384388115731030093980175045818269421407426594897\
3574521824636199663441357013558053847100771723008
 
ngd[13, 30] = 295142779550560565392972500121723180940872893646901359611102093\
84415550468597828859647854861872207955529197279370560
 
ngd[13, 31] = 484471035381369234459114571967779480731960748528478561626200449\
403249208068996319143172902943545094479348755191699552768
 
ngd[13, 32] = 750735408894018247209143509315731422651058649070340312247085590\
1470221419950860767824997375910330877568403704326456617647360
 
ngd[13, 33] = 110351223692327944102209240312626665862995107338546135154452033\
858317683185311051674458027340275013701113265757172934261229870592
 
ngd[13, 34] = 154515497783407161488277471470387858553754676109442759630394721\
9975982992489144133131070065673642916313736043897029305140861465137024
 
ngd[13, 35] = 206866911445542352572524900124711070822711325505937724492828265\
89863643774149599124735272295895909330478364387085619564839732308608977664
 
ngd[13, 36] = 265688063420844312279614271476785757301992656796031341038697038\
23982255473656512745937245498731755886903804603805570576096926605323191041027\
6
 
ngd[13, 37] = 328320481386876987184116078815750502496460884469550128137067663\
95024182752041380973998407069598388973976533126593993549923771519964478253564\
08832
 
ngd[13, 38] = 391397855520761064361847034317681582451484339073403114099160541\
05521777425416441695596435551874351174216559671502540788487508630028400885494\
866655736
 
ngd[13, 39] = 451198669546993567492912787800393503473837250290274697732161560\
42674252743158684460860073839745499150902339277042980412343579941823248502551\
5500906737664
 
ngd[13, 40] = 504057706350452710257889108811217815516519603335760605362532379\
41760676988195405185258303821291950569191964290101995724519023676548082465582\
18091496100829543
 
ngd[13, 41] = 546767160209929195622095383850426455837649624223512484850620732\
34102215373159558866249052526518746920523243859515528356707921967718388733800\
957093203034950419712
 
ngd[13, 42] = 576904715360668188706573830535301935725710624860304493175796628\
70822984292401375913901304752053997189052648642449168719410504560932956851599\
7565791789008354366993848
 
ngd[13, 43] = 593044520703083835396955424591594210727314835858169017296052621\
38693653991691436982828149172083789441618995265754868548493816906065333322510\
45765558503685383673254290944
 
ngd[13, 44] = 594831718168510452524729706269391880030861752257879216630308731\
56267892480190305722459825912682026072776737958708011915218263220942914479106\
713184915981411324109713718194334
 
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] = 134784
 
ngd[14, 10] = -16032046818880
 
ngd[14, 11] = 53798377934680664448
 
ngd[14, 12] = -11108501693746262388195968
 
ngd[14, 13] = 742681700937722327154093233536
 
ngd[14, 14] = 16402613867810308683400251176880666904
 
ngd[14, 15] = 64217636308097629709855796362400687360870016
 
ngd[14, 16] = 56111630967340476870802259340403826114333500888128
 
ngd[14, 17] = 20096671584369498727193003345045315418839678138086481024
 
ngd[14, 18] = 3927162850929720011767337349568557039324497276041920728331492
 
ngd[14, 19] = 
    491998370701137863816344390645731425495537201262733845580291930496
 
ngd[14, 20] = 
    43725767953579712729810482059287153170467279044890072314457949997691584
 
ngd[14, 21] = 
    2951962239852827770733836777739581297275273946679367869807830602633345839\
488
 
ngd[14, 22] = 158956830848835240793752630920607403392123448837454144347674766\
533272771113203664
 
ngd[14, 23] = 707934087990990008596030102523438961608351646948861631653211706\
8533348190265779755136
 
ngd[14, 24] = 268122087141295225540368249913408864026753566623381063342493657\
582290539513420572005281232
 
ngd[14, 25] = 882678297048153130295648604777137541699169661817110356070665711\
2360855183491517833726781266944
 
ngd[14, 26] = 257060352054408804963194654280267998796986184280643956100721655\
353823829299495818824565986761531012
 
ngd[14, 27] = 671841181656668825381479892290352289119351569591224244865698653\
8765204593316457700854632717111826538240
 
ngd[14, 28] = 159465424009984955399106548852935899355657191343347188126724923\
668971365395244055497875163013683690868595872
 
ngd[14, 29] = 347195298288664876347082832903351766395885594718768463568700747\
7834360631285303712392813893152895440593932170368
 
ngd[14, 30] = 699310341113071101918502232384786002142154436189902336972031874\
73587421058672255779579736516773064672372035582724352
 
ngd[14, 31] = 131252634076425139756592411944372560349236468633978334114123394\
0371926958029173366359204318800997773821181829218801478912
 
ngd[14, 32] = 230999697095612224199366979740601782058220817423615777630807084\
51289440469388696842579868972170779533759495327616418172771328
 
ngd[14, 33] = 383309685157262979871685929187643283072897526902635070317899741\
370380586256116272457720280134874587949789939287850600985642525696
 
ngd[14, 34] = 602558145302922465218391260090767151710061700392262610840714268\
7791172439161179706593740480026109371164843781272179208295709132506176
 
ngd[14, 35] = 901131647095134529557772752602246115684120542919359845858577286\
98072137923352448151977176265297903206913181411290603808334661016447900800
 
ngd[14, 36] = 128688164520881315180228343008835301642170209572441353389374392\
23313941433369646751971653326963912996626510667678247014194834244496223257617\
60
 
ngd[14, 37] = 176073335800149175668349670954135772658664942529566067249661482\
15775791579606828186443306460273350082867337150207287317036449612579874955987\
348224
 
ngd[14, 38] = 231496599721430646834090022545442260203441955063840678948698460\
16271577250345513109169980266594373674311079656994211364088206595811177292320\
0699824244
 
ngd[14, 39] = 293259357237279360691664436056182003564285341840580897635799307\
95944052243818393303670867354379690677076057662262585512032292609201764798751\
16675546132992
 
ngd[14, 40] = 358807696369293090698789815380532461546353272860531606424957198\
51620222312990122127140297660063760943486783728584721497725845357993047594941\
933645859248167184
 
ngd[14, 41] = 424933868170664472295133247232645033851963831779911859241970312\
48418850286124504710395801382810454050629363654721766175840898617255704248029\
5772082852781279532160
 
ngd[14, 42] = 488079779073837378475865040717788673712578031112115569439200530\
36194992373154764210043559837656251829023833025427528560612077310677280622643\
20290679421058449044942196
 
ngd[14, 43] = 544695466061810735903391313477771844899357756659911303248545763\
08105997725996763194786279226114011596774490675112991637897083763824039021442\
318881402910688994824623405312
 
ngd[14, 44] = 591597237526834390760797730113896010654943059140956625574214573\
30659600024740888724290158346328909787777711431106324609890059282690011171571\
4002851394262457220196686517531392
 
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] = 4192707384
 
ngd[15, 11] = -866215161350965504
 
ngd[15, 12] = 446525417518012842571744
 
ngd[15, 13] = -46052781055455791390401740288
 
ngd[15, 14] = 48873605534888267522238142673792728
 
ngd[15, 15] = 931198038874119580513929082250180656697088
 
ngd[15, 16] = 2071124954437507135622696499547001900593378415184
 
ngd[15, 17] = 1438010234902933064198704105700166034726737592965369856
 
ngd[15, 18] = 469453346020560548348528236565266037597016380048321642135928
 
ngd[15, 19] = 
    89498520426897121676592640327829663327244898138507552855684569600
 
ngd[15, 20] = 
    11355296995144293889385902207481875736654323644959873395646513871126448
 
ngd[15, 21] = 
    1044765117591328486840170097167321713055067413746485871093467066484686989\
056
 
ngd[15, 22] = 740110429549663450405462711123838385416512521496699587433034003\
54637368825751624
 
ngd[15, 23] = 421737632566861464984219131912141076001195265235407907077737824\
7150165091604046130944
 
ngd[15, 24] = 199821908302071476883941571957635378123824461452613843446235738\
866186435036730043772670100
 
ngd[15, 25] = 807783494508214260111377650358774757432432859447592647382954320\
0505600885665071199297654541312
 
ngd[15, 26] = 284387424920509310654246848262858849245323570525136943243498414\
181218778840013520625407760621253936
 
ngd[15, 27] = 886579295230539396546861955286300165452067273888061875805512584\
6632140660290815713911940657679161055744
 
ngd[15, 28] = 248125608655839014347922714412792356884017900970021769719661630\
736127779008887401163531433887367961702392424
 
ngd[15, 29] = 630586263069779454223813336151090648943092188818049421805932078\
0877802722072854177099247276927840797215739809024
 
ngd[15, 30] = 146938600218273175054278350752201611860528389405719383112497060\
320392549684470030464941197469226766727933807083630024
 
ngd[15, 31] = 316540052794677812541481090136650349091767652930967392580455012\
9199989830254903787493282395699753039709100242208931224320
 
ngd[15, 32] = 634902133657406728374236194505305734485038095986998708994712078\
49505596115016549152723352391148951139350050827184079148951040
 
ngd[15, 33] = 119301439639739293047480525914589032395402856873488731375133086\
5133040013040640710793902622025577511384927683068762968357607351040
 
ngd[15, 34] = 211145946373919025595267254091691220803960968464143901403776173\
26015697795134692749848889493215036991598093568480638549090878946942848
 
ngd[15, 35] = 353649434029615147051830103030659214218464205141906942999283872\
208662237972858056383964971957336732722897310621602807387265001522408873216
 
ngd[15, 36] = 562902811817284371976749623093459319469676868279637250772305368\
65167779666026399793922399880749231356087289220761507377473184216093611236648\
88
 
ngd[15, 37] = 854632076541839395576943915585253558577600735704692239329643671\
37619213370471442708996748964675033418369197163167325452636933412816345526010\
870016
 
ngd[15, 38] = 124180292790549048741012482589536336636691522077007188608708929\
66106938526471803900192732437512110661376429071542656424050863709151333484157\
15262212920
 
ngd[15, 39] = 173199925590800160236494385946891627632462165216440747169624948\
34635063680272746957448216155795955705871450833613442015910206716551265046364\
583664535647488
 
ngd[15, 40] = 232503483276302614501995568672702202389149779433305351149879384\
51075222720175248570785257372694785604220673612826019188419339633439664116710\
9802387997270332964
 
ngd[15, 41] = 301128090950251300311512184269748048439630167916819165562362482\
90334786329058960584495777483753634487777146467639657822499089266267743446775\
82569557191940256414720
 
ngd[15, 42] = 377110444414397322582986465469741608523399071113137634485945057\
36525397132464488296063326242630344808726977954462467811174076675552432223498\
264006215322891843805026112
 
ngd[15, 43] = 457562883627559062316414886571835103489674663295100285059397813\
08576538186014683158411218098601445174271544812871238741245923064526186385974\
7316907810883970398168089798144
 
ngd[15, 44] = 538879347134476963211285511644732351356129029461241025060373891\
78116463820581814945891149661606410973478424066789312145331532227650592073376\
43767930782171313099393227983865024
 
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] = 46979932
 
ngd[16, 11] = 8544691377500288
 
ngd[16, 12] = -14275972094558645301824
 
ngd[16, 13] = 2736451305908520411387504384
 
ngd[16, 14] = -164047126152604140300061011682740
 
ngd[16, 15] = 6804704412760819920228655738420913471488
 
ngd[16, 16] = 48359955341829351502578710577310416046162028672
 
ngd[16, 17] = 72423555885797847606586560969909007739425515407099648
 
ngd[16, 18] = 42053852071730567450168604072310741641006291487079618966972
 
ngd[16, 19] = 
    12712587349506095521992446265002503666450487376028729746975503872
 
ngd[16, 20] = 
    2370385920762265250108225965818620371184571140844191119858479371096960
 
ngd[16, 21] = 
    3036907783757700082497370053358892162999262016931797956128263960467733135\
36
 
ngd[16, 22] = 287760216102143050693559066196097661314888848067225752188779586\
95592826791615140
 
ngd[16, 23] = 212592274370119687949226352720603681007427279514134324875999626\
2338077594524837139072
 
ngd[16, 24] = 127376594990511912896910460005125312485456307872841150401471901\
715761122784858126383649216
 
ngd[16, 25] = 637996995494154857524160573984255322536098940941109431356095731\
6856871293545024722526315193344
 
ngd[16, 26] = 273598177205942987202289467152961278732188172082670100514666253\
240858881102361034986500366113640536
 
ngd[16, 27] = 102406020021086847990650541657308637878009102725355381697937672\
42174098131780886964983529458689425740672
 
ngd[16, 28] = 339853426437675154478859327962576585741545899455964709887349650\
710813482310554753388119001637681163186703744
 
ngd[16, 29] = 101318311772171878482345365553627623631959870570480927708819480\
27383543547353593807070167900874447264600989290496
 
ngd[16, 30] = 274337995881809116066073953775962463117047757786513126267046448\
606542929020641596888573653790277938046926027820841284
 
ngd[16, 31] = 680988806048039204042920122575201268127972899159737364755861197\
1587453338083366459362827927107940864648070942701049543808
 
ngd[16, 32] = 156216611933643301649634935618800914112191867668944829055956661\
384337829235109315149886683699750879711653982197825343591313920
 
ngd[16, 33] = 333468523335013975521035491139603690029499058029076600823009921\
9850517051409190659622534791826783175064809973283762341906039519360
 
ngd[16, 34] = 666411965142661362864241810241820543564189646232364153530775744\
56493172495562002584975986406196589399345401389756960981529635682156544
 
ngd[16, 35] = 125339728764019739527723485054867642544444221835403714302801315\
7823171307989238977189780504813802107310445983829681161798412934873519980160
 
ngd[16, 36] = 222905081950011161629875490496072678661515134852817933745734880\
89908855978843767893504683118459705785766430033484019568241497662438394662517\
440
 
ngd[16, 37] = 376387128015304405718634509492067973736335159797035886595106544\
30256716344385842821995141473264622114946671010261130730851469076919708153566\
6247680
 
ngd[16, 38] = 605670329340788765991015433467389570311608239388140855893118329\
93694860363182961485868536517542976247699719907364857478363591186108894938167\
07909841820
 
ngd[16, 39] = 931880602425867553153733554942180599830339449974608165299774148\
63136230872416505825135853598358180362763910411100061550998852632637412178080\
209478301292160
 
ngd[16, 40] = 137498438146172917913202894881111994929000296440172908353536216\
59424052130592761200144550851622253409008401841132769087632575406957753529611\
40637235049486643648
 
ngd[16, 41] = 195080695996199750172890842991013525179218408978818217290809536\
82955635826443100707431665103598171971142680771199241313244629157661967994897\
494326798815460721670400
 
ngd[16, 42] = 266787690465412392889107010063898561811565723479227905503407751\
92799856069339295903658898342251757983050818839015271001590560456438822088226\
8722317567866729215750144160
 
ngd[16, 43] = 352461790766421826904996868903801873217524163504281507129650056\
53732356543122783102958837301439041420857593658098892819930157455381817728629\
49431581917042229767371624796160
 
ngd[16, 44] = 450742178427442820827879744740485289164116985553267762621253035\
32635793296703790468776141870045748396933331007930399742351113185981845016111\
442049327884001751401623461055746176
 
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] = -14448
 
ngd[17, 11] = -40000460268544
 
ngd[17, 12] = 348878705837287637490
 
ngd[17, 13] = -138347301561144621229303552
 
ngd[17, 14] = 14638221635020951526431529047936
 
ngd[17, 15] = 19182598281796321330763715998933910528
 
ngd[17, 16] = 667994336481031623603774230299493066177654004
 
ngd[17, 17] = 2486474775441532932809133704705061943328237765394944
 
ngd[17, 18] = 2772686303725342421702874857054743851453319858404221582752
 
ngd[17, 19] = 1394733210010884560551066053946245876268851195763139196753958144
 
ngd[17, 20] = 
    395055634077149957492222393610890930855651598683950808308665696373812
 
ngd[17, 21] = 
    7219795980661534966022359657220650348609372020042977269431997250031295283\
2
 
ngd[17, 22] = 931954229865028006025028149853071288471153194047376775910310062\
2506880701900352
 
ngd[17, 23] = 905584689391247210744391911406019779579684990159279379165639483\
970397625614205030144
 
ngd[17, 24] = 694152970308607524038553323594240956973454990483854721298860923\
55623861792046541626601330
 
ngd[17, 25] = 434932213910074913571151272551012704841351927368143580674289538\
5819296926040624409276501402880
 
ngd[17, 26] = 229028884135731389551611948093018445370734245765581492258320636\
033270135007744089347478554680246680
 
ngd[17, 27] = 103630739674643823673196392684077522488939541157686634591726720\
51229718143287830727758115335600673752576
 
ngd[17, 28] = 410244241727634388612267495320464590319633290828273196109116373\
889421914333249931638892911144268586651710196
 
ngd[17, 29] = 144215612059481516885793371601820077599904394886570933478635095\
67551449169085600826788793030680867403602531997696
 
ngd[17, 30] = 455828732003694024077833309362694293975337113518652352242445964\
523634027481189267956850448101102152842135119174600472
 
ngd[17, 31] = 130912904243111215486993292260999448097687476285056461699238741\
89356178265622159942283460788698635031140699067134307265536
 
ngd[17, 32] = 344715624345887915202678049234849627338211194937610934246259883\
312116740468776438936581832830241635427724015473505467557469472
 
ngd[17, 33] = 838695869223674620106739031448063081255230928276293131122589177\
7905562120710537767979825800388256935432478460685178298742945143296
 
ngd[17, 34] = 189818381543970049731171846108140040114643421991590051634327548\
436922230761438878313688731719302909625266885765477605184628133701371464
 
ngd[17, 35] = 401995459769912046325928660166252354259827950165662311846258124\
1281893756081525453033227931994389817164201957344119196377214803427040280064
 
ngd[17, 36] = 800766054865592311745904332752643959831657249894601893434189631\
69708346491358575707858053072534712999002740196675196622620161303473383762819\
802
 
ngd[17, 37] = 150725192777671825965207458332598274005756298408093052868871607\
70858987142349400341115708451705722631123250856865942751984556760273056224404\
03836672
 
ngd[17, 38] = 269175864894160086408933996086689290319390113403779499710460144\
87826667177340132803437038194383554225862941543788548928614696762282680254144\
140933075784
 
ngd[17, 39] = 457765260497105242263415128628948159956369048815003644536475249\
41624291181798394714860140047374906070930871311125514445719533420242136718571\
7843172546693376
 
ngd[17, 40] = 743755868264612354217348863499429124873696472396432191394537079\
57016033949441505343244091681954593138973126807764985385929931861022279198294\
22097506044443342626
 
ngd[17, 41] = 115793168574276419931317634734747625100757798745455019653980362\
23998165221018516528222585899379849780441407371815451442174499162881290417194\
7605982259776474329692672
 
ngd[17, 42] = 173205749856874408769042787457888558300372528896508405087177921\
17518588697739434349291528663388381204489206450882496490858057853444811737257\
04524208183403058146915734632
 
ngd[17, 43] = 249530357530581396791523953712253688687769858908436171209308069\
10750709113187459459832105552064635132411453172445778097609039861083735438817\
177691372339967397656983523909888
 
ngd[17, 44] = 346998007762150376329709681239496078001856275675549326138363147\
56320712988819790165295907287408384933655499725655336943008977607889288408724\
3806518953415712959093758715877706780
 
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] = -72
 
ngd[18, 11] = 30801879680
 
ngd[18, 12] = -6146090447215197928
 
ngd[18, 13] = 5835331925258141814527104
 
ngd[18, 14] = -1049606446261325268289900279936
 
ngd[18, 15] = 84190710921788328125975628172969728
 
ngd[18, 16] = 4922493869403978153204198996125376998354176
 
ngd[18, 17] = 55807339888248741033676746790276197276151339614464
 
ngd[18, 18] = 131587980205760359188366570901956971771368145109169692176
 
ngd[18, 19] = 116641707750340172573002573725270099099940748951240545846068096
 
ngd[18, 20] = 
    52135769423019879153918064700112733807694499886945367560818542840944
 
ngd[18, 21] = 
    1396442814219997730784824709734502029462076004927675099397391722531545804\
8
 
ngd[18, 22] = 250586237664593744049603879443262245520933274715647546436389998\
7882303822566880
 
ngd[18, 23] = 325334385994708651101789096243476732728684027601764657960932525\
269384525334304039040
 
ngd[18, 24] = 323062733812841233446201628695250908802762560258010856612074425\
50740988168339602523200976
 
ngd[18, 25] = 255825834532565868036797873776896250395282620654835024408328720\
8797869416661129635158796524416
 
ngd[18, 26] = 166840110008358481670088359806556130820211758552529161407734396\
439890982021878228239791277155856052
 
ngd[18, 27] = 919245536811494800378706346503412782947217593529226193492250212\
6427768254095935543667280662990364745216
 
ngd[18, 28] = 436794012278980913437069958616936869043016757697309537970805360\
986389257046546178114504353794278932479096480
 
ngd[18, 29] = 182041459131672344880538462927621551743893994170278459551358245\
67403721384944786584141390787670615015198862803200
 
ngd[18, 30] = 674862692759202453520859892500334064494611341260712248340708340\
996540728595736628812205788446723064058483422985829364
 
ngd[18, 31] = 225191603181338765683384793156685819601989933926100056771738044\
14023604437173397295847876418667646861265632447507220397568
 
ngd[18, 32] = 683212339284560509894165386311696974830817138746288852840869938\
139307845151653785326959474603457766001041919028375470699398144
 
ngd[18, 33] = 190100991046990545620041558233537085115553526234382133662335741\
28952805048367952480326562111994536871586400071742717853539823299456
 
ngd[18, 34] = 488757524351456386058276351105044532557248453591395214744068072\
863003243558862584301318498319602044765251351710214033985620947501149468
 
ngd[18, 35] = 116875358458266186559750936761352103659131101551029326249163600\
76897071995254953382985299394359557572745007518346913557038146989562081580800
 
ngd[18, 36] = 261436933937483072142484516832116660217298870602601910797664504\
33169501614131805077070090798779464497606929260554412400606840924883253770532\
6520
 
ngd[18, 37] = 549830258735383999997924959426728681830252067964042247403740583\
75076211325933383725110758964596095715065660678185403799102195142250651315107\
02176384
 
ngd[18, 38] = 109210603890683776355098951879971219645213648402873717934596817\
32379855152692861254741519048029171340447004285012123384924396728948602775941\
8919908180124
 
ngd[18, 39] = 205694112419421556660953369009916720564617932085080274938701680\
49689959488177612714898511722516300007959079836099530478477519292541666401648\
83327697535755904
 
ngd[18, 40] = 368693473269827952796801631361587740491519150824440325663425571\
59375425233619849644080887701270188093789829679219687116956673176741260600293\
757602631949031130080
 
ngd[18, 41] = 630964588113979742305723464617460132519102009735307194772007276\
24014964990337730958814056982072853726201340800708480412372426068197694503933\
0220198581235404132572928
 
ngd[18, 42] = 103398458847259235210773072850295163767652256820306412738772852\
60491615922655228886711198663168797534646334654880714405946501979548665449607\
621527897879528339891130562956
 
ngd[18, 43] = 162685040541657802248265565877230292549086308361410437863535698\
01730275757379362796468113833986640080359458971524171341528863011418305345937\
1688107720387302550425560850861952
 
ngd[18, 44] = 246352177262905336952296969647404012907259795635681826717625943\
61762968836426310293896523972213913148622479940049645996455613070013616717485\
71494940966819297312287365312938972416
 
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] = 22853376
 
ngd[19, 12] = 71077422984711722
 
ngd[19, 13] = -200431652796156809114368
 
ngd[19, 14] = 65776020157751836233906329440
 
ngd[19, 15] = -6920463325198117714071798553136896
 
ngd[19, 16] = 16497570298389375566996467138139912518592
 
ngd[19, 17] = 773047808536978462695702012993409062298779813376
 
ngd[19, 18] = 4371460476054899516986182931146712563709125310953224088
 
ngd[19, 19] = 7317827909096293489420647762184669814243044037834042485460736
 
ngd[19, 20] = 
    5394619028146679642160702679111838221678814681294666096101091052484
 
ngd[19, 21] = 
    2183618728094421996322019834773427484506746006510073837014576549203646208
 
ngd[19, 22] = 557111073511976385047435018697880092718166066048202424233392297\
873257570941392
 
ngd[19, 23] = 983155987360437365733589978790038551219802323563544252361700446\
64471039537013999104
 
ngd[19, 24] = 128206075256094379576141953686390204746488865251946822816502609\
91192753600251034906384220
 
ngd[19, 25] = 129728615300386863497721077113426681905169621968131833224982128\
8233577533816146881153697883392
 
ngd[19, 26] = 105738279037408570305371396780413446192388169045722609400218533\
881374741103827169975036029021761936
 
ngd[19, 27] = 714864240550749429094347322065579601638768611323560717025051740\
4785895297854516849034016441239151531776
 
ngd[19, 28] = 410395410022770336253436120689691336749379661809792602819327104\
114843530917825402988647609044429920938091704
 
ngd[19, 29] = 203928924350660824013955415675929766231545613094299758232781193\
29657267177164972844098215597343162169812151379712
 
ngd[19, 30] = 891106775777014675492954641255521649539889915249204843639719479\
014137335976030409336290672814522893885507452284713280
 
ngd[19, 31] = 346992791678476525136184383596599510174251141103845240219686691\
26509086199543065724255754631869880220127238965251301510656
 
ngd[19, 32] = 121769400731614872708474573986742203990746512700230069013708578\
7134997995844652259232470972873253496186911213509191588295013824
 
ngd[19, 33] = 388835981944977477986611869792271014758205060158688482403868319\
68792233234289988835067637959679470940119594864712999406639472608256
 
ngd[19, 34] = 113924582717413613081130994973139190678829099048638715622150819\
8223239152678646171048153212533730062474140941832373050618043415075611744
 
ngd[19, 35] = 308484916053465653832620715594772025523270254019698796595885146\
36105010639163616963635144281507638060395211770346556710322223369352060046080
 
ngd[19, 36] = 776907059051857007522693081420149531058049862850591257114277693\
49871411701596230729471188910128787635480761297145172287178327918891078976504\
0578
 
ngd[19, 37] = 182999383925112642843259764648515594333165364486103014258967135\
01011049282213534172283231259113937543014697164868901595554052810431533689348\
658120704
 
ngd[19, 38] = 405160113139694614101107880142303780893099888666459694132202283\
00970629443923259489613415945017394672080433756365982074540557109038341665745\
5370303539168
 
ngd[19, 39] = 846869785115063538806678789011358244110881890270604182180901859\
42528980145926501407605440101065214001574551485975553557580170753062311694537\
98404751513083136
 
ngd[19, 40] = 167777910050986597615412111651779746022470962622811229739985097\
03526582182889580964148148588609317990479843275064835677645742953097018426109\
8982259658830900748216
 
ngd[19, 41] = 316171671475834716477543530817852135297780004285261405429113047\
48287519603380889528645170601211170869634300628410798215453233050713650898901\
97977861713220832740279552
 
ngd[19, 42] = 568555104251647760666117452919303698706848610433260940751929566\
93548425854701524574905969976175573376936385829201451125486477501125767103300\
056939995585757665278744227728
 
ngd[19, 43] = 978461654455453491967656174581852698697719755406122017386389155\
97940395713988675901207121926844143638744372071026122115189308512312733249039\
6803587156760148546433403145525504
 
ngd[19, 44] = 161577892633512566080255402668418148157754245776165356744644106\
16394674158859774130028550345033149024688873670193574492822766674148593214217\
093253609089220574953849595212861005856
 
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] = 194688
 
ngd[20, 12] = -453574307495648
 
ngd[20, 13] = 5425654572906572435712
 
ngd[20, 14] = -3563313884000561275134099536
 
ngd[20, 15] = 589372125090140680802700184916736
 
ngd[20, 16] = -27434071638512398799122925830429886976
 
ngd[20, 17] = 6072502157881415663675867849049285448461749760
 
ngd[20, 18] = 98058233018692429878373811919492689203644201036901820
 
ngd[20, 19] = 337763440117551067488036124535578559755427070118064914448000
 
ngd[20, 20] = 
    432532891982494365414657905612537915153387353505361720116802916736
 
ngd[20, 21] = 
    273981136199241671176935383247451792867844344048661865156896614002580224
 
ngd[20, 22] = 101909003471132771600202239605868097190773413411396205511413886\
386354871949928
 
ngd[20, 23] = 249119970474097431309657975031213933182452857544115090708389126\
80654980989881626112
 
ngd[20, 24] = 432940537153106504339188194825934857574877236423662424197595108\
6152202701531665534683848
 
ngd[20, 25] = 566452041196247023049084166692239365048787243547611306071002498\
096355778077820250632079425152
 
ngd[20, 26] = 582661306459154056821580704376302675083603752345423867046623985\
95031466514643118923453235842652136
 
ngd[20, 27] = 487295716276744778770481229025915615170669621782101600863198818\
8479258123516265879407590106528337971200
 
ngd[20, 28] = 340328719993537298559076976653013582034894159544572722736170774\
756584741814613717811809318622060444546108592
 
ngd[20, 29] = 202830698564476570189187095143610232349844966053994082787895278\
42644655952502750429730388316155021972121970787840
 
ngd[20, 30] = 105010545255932426981208130699187189314513452301444035631571304\
0898778662726016812398773865606552355712965823097919936
 
ngd[20, 31] = 479346117258345820035907887155012827673721345591902523234094971\
25775702116546084981281409717438787650795887807942667111680
 
ngd[20, 32] = 195357376616841666930629320839463289926742806468034438308642878\
9660310473420221270836028451305367607627213591376877194533476864
 
ngd[20, 33] = 718489704223049100562281967135360371372300701746477090508673696\
76308421230060726807653866205049534032029592600007316916685173743104
 
ngd[20, 34] = 240668802261124366997443882352062266787526377111900987832496201\
5183078947389931742058206453376558458858892321858402817964470759581366960
 
ngd[20, 35] = 740110297242680109317162124409130846139169300796857029383624423\
36084812724440966236107263048888908179795623656464166619551071619498825014272
 
ngd[20, 36] = 210417406207416254419725042347606824217539536284099253725447447\
78975290640889578660623549954658637963458438627668324066971501006808068130543\
76096
 
ngd[20, 37] = 556469320356952164457027249094191683200172384100268073292613727\
91567493628406041432895991083099703720952879800473188175342567908515317041993\
389795328
 
ngd[20, 38] = 137636383872994190770890729178089987338792061624625202882745447\
10181516746191979244476668228214324676506802107515603924814522243202099473345\
58753201804400
 
ngd[20, 39] = 319929850094815364675405125847922021849948861174188571515549544\
19074539723883901805732118315635543265869561377330914748317786987146604122020\
035433393965316352
 
ngd[20, 40] = 701907016626112302027645037293638476485889607274722510802779420\
33643805667026652927768921232405796260418955780552541594313302808720259836485\
8914154520977633944744
 
ngd[20, 41] = 145911503932537432545561343343722475219190662509108848792769729\
48537592510800048744319893257312135123856230917605600193566390826538111976836\
935895522140899368793814400
 
ngd[20, 42] = 288403306435621911982875296582523614428538979664015038445252862\
52964811465819862849386213979841280407104284500121935726867467542537678220653\
3499547392188572993572348595688
 
ngd[20, 43] = 543729222452908392688138488043361107048245778142562376648579858\
90779646229366830680706240190415903654297311745055018894290639436200166057951\
85403049895717339695820863910454784
 
ngd[20, 44] = 980576145490459123688122372006921195333836224375622548290417696\
88181126000922042125816233351544607702262252994225723789782875949618658804171\
935783119144144283270728917518525235088
 
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] = 1034830295100
 
ngd[21, 13] = -110526762216651659008
 
ngd[21, 14] = 164385860107667436785193960
 
ngd[21, 15] = -44905294520166695705778077872128
 
ngd[21, 16] = 4668112635523489280204444870571639808
 
ngd[21, 17] = 23250787682455308281722801994277088417813760
 
ngd[21, 18] = 1415053768034587085429336835579071111028482249926480
 
ngd[21, 19] = 11195842193783543449909131914475390517965661894803032978176
 
ngd[21, 20] = 
    26497281455473960827826901414924840922248418122920314440229088240
 
ngd[21, 21] = 
    27340598654254351699365214034208860939603382238728225476309525217017344
 
ngd[21, 22] = 
    1524930890210151729818224134044061208801223621771615087199397689108190555\
4400
 
ngd[21, 23] = 527246264819401167755693654706950364983514344014906491549652617\
1708418468265132032
 
ngd[21, 24] = 124090775930146513246969090573292328692498373227565066959340637\
7605465701846698773790971
 
ngd[21, 25] = 212627355476410340600495657315487380842649797160420002272331073\
800994143151240366537185840896
 
ngd[21, 26] = 278890735874993866168523016293656848482175171346478674303581844\
39598666735655451735190361209653440
 
ngd[21, 27] = 291028462748506499704065448035275797107877906715589176598545748\
0784752192483911539301815947138365191424
 
ngd[21, 28] = 249072220164712211187868866487380515385336984479306050861879798\
704072122252066172786398107617689662465012322
 
ngd[21, 29] = 179151975397257928480032609328981733857771720956995044877423389\
18175608634847532560961974749722300714908104812288
 
ngd[21, 30] = 110486936829298483838859879481364320288074260708503738596863901\
2842974946099136718025006363925388612465438631920616624
 
ngd[21, 31] = 594023313879499158560193238130682845098404085381781618215122507\
12239910273768707927497946237135061979189117504470845342208
 
ngd[21, 32] = 282331430194632450290247501614969518383686878551177013810573470\
5258879684904399680158194817971411433887135250584422873740427328
 
ngd[21, 33] = 120040262551649101576202044331431943818990839277858453677104312\
987989901204581943838887173013663858544347797563380621386223300754944
 
ngd[21, 34] = 461235886601089478175035370187800571289461013591192802083235452\
1147037425140667428515030992728115255469223272271121113261619274404034208
 
ngd[21, 35] = 161572718613444416177779060069929151019480869358743506403723709\
48250817433059621459721773821366485433703565954358874249789373646890561689881\
6
 
ngd[21, 36] = 519985589381869008229502789829016916237801002605392987845776830\
55350088568103878645215001719530685031238848019601941950100646707830391250234\
60828
 
ngd[21, 37] = 154779799846069373003490637205497071602728988141863597989279307\
05176707300809765154323132184823276133353104370426171851822230368739621703212\
8532322560
 
ngd[21, 38] = 428662752651537164045969207502632999911562359867455495658015528\
20585953404339585584930821764261858848045336882358217735633185220284275418123\
94701958710088
 
ngd[21, 39] = 111041327716573226578691841732759563584277727635228575394488129\
14722582994395881831799792572888113630691378779052528208239535480700141381300\
0988670284261079296
 
ngd[21, 40] = 270310434523430259655542920816917395884703546797917742489882257\
35388991265148673763148529714667691289043308099479853827749344690963361138009\
59383465018410338599023
 
ngd[21, 41] = 620983423755162191939391013270512414907825224159340261414891851\
47877823287095923764463450923131899845593024895479907307422461415242444343376\
135489125526461423350177792
 
ngd[21, 42] = 135139671392478130347015897763353890399606156862093988619114366\
50679681434214748489149048821888953608083310008391916927001223895274885870760\
31169281449450758659575586037880
 
ngd[21, 43] = 279549631316809583371944695789730468499622255167928810140722271\
64566302515340698566008066209582942743665517958941909790542242668175285866307\
215985310946864329698979634954113024
 
ngd[21, 44] = 551387465351140724252647468021806669916189478995031351258937886\
73594420358989219727337724215723962705643135860373820504268690390310625662802\
3859571521207944022740440042086276429750
 
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] = -82475800
 
ngd[22, 13] = 1579836357815162496
 
ngd[22, 14] = -6336118722908474014872804
 
ngd[22, 15] = 3034818965341030979418731783808
 
ngd[22, 16] = -468048490768306232300205628770275776
 
ngd[22, 17] = 68679825007425800341876260727688585159552
 
ngd[22, 18] = 12263643374811897351917780522079871242104276795480
 
ngd[22, 19] = 258464898504432436872145582901972878892698061026222417792
 
ngd[22, 20] = 1219392079336775046066739353833845768410161901671616037422541904
 
ngd[22, 21] = 
    2147398715064538336752157221016536397374389142240234917216186404830464
 
ngd[22, 22] = 
    1854011512458621101471528968108505435016225098573085423205475387981076952\
912
 
ngd[22, 23] = 927835642340411831581947326544750045094987401910218813339513508\
651106083540750592
 
ngd[22, 24] = 300966950823179992001359509951481681292506466440340810707576966\
968491931975243116294560
 
ngd[22, 25] = 684737853131538757942786090557318900525063757076210905649792096\
58754393907123771737417239680
 
ngd[22, 26] = 115804326937063543617852009349570320776651838465158927652300130\
38676702581412440611664557764424832
 
ngd[22, 27] = 152168819499178844844238701941975650423189729968401950522154252\
3909310148025145558846016543974336049280
 
ngd[22, 28] = 160817446072087866404266763787173751794081080008123334603818669\
880084215039357049881595555162885104319092256
 
ngd[22, 29] = 140517183672973811235940932865604244323902840230174069338482028\
41239527049040114977886993420440903908454639815296
 
ngd[22, 30] = 103814314944845409977016324724992299327215815080353701264620445\
9907171557278781341603591317717000010088399452552184424
 
ngd[22, 31] = 660634473065722695053201029626132662813731757523170688091267202\
52300604378259069386006936672160760100974602644484304540416
 
ngd[22, 32] = 367766515551649860718239593522451004329790067401069486805590883\
1170310466206963231028889662538920178584467911896566698886505088
 
ngd[22, 33] = 181462289612703638015101940199104478474345298747843947401009350\
043085810727229253340516561123991805897861417477130389290807928083968
 
ngd[22, 34] = 802551872092955350259776406997472335654290618081233908772351214\
3386530725500380678253042169327232093201490144296869396126225535087414384
 
ngd[22, 35] = 321241463860529507603589541614480870526297543157029098004182562\
96079553765643595469708115367676720478653777792598532408383232822519006636121\
6
 
ngd[22, 36] = 117357740136920369702521150823871136025682273899272218913036642\
13679195388579286128520192968481432965734389510070891546418694214866636320500\
551024
 
ngd[22, 37] = 394192436924168683688710168866659105370697193800167482186180182\
25217107279075673533970638261595737397579726949857911038406532074033289743667\
4098721664
 
ngd[22, 38] = 122527986956167928362632880913628786628074739077624178044561028\
91819561794952244378340075555784779593770856480887743639781384037473911428631\
637972609877132
 
ngd[22, 39] = 354475053352324928897444898371110118332328499007224735927599196\
67013587403861879475555448154213537260895658194052934826119084052106604564260\
3379003617373203584
 
ngd[22, 40] = 959354935577341932163227026143340198000715990157781350060946905\
09275637365023287321400058981278120919476847786640185969326721922838090674947\
84813866519615194679168
 
ngd[22, 41] = 244007049952192409094840004964178829454308267460251146977421390\
97911242947252031937351144303123972417773946739638877758941665162362718396792\
7966736343706088744968313856
 
ngd[22, 42] = 585652004227522248028856311214638479517149505462140373832444515\
57348520463457413703613186186161650958421735618910192683581678226149053680730\
51084643383967914351764902658228
 
ngd[22, 43] = 133137784942006888155178853775542298385729316332601609417529477\
44853737085357847650680156961871709493416349851073872411278121720802329952577\
7629418978236728104455114964593763584
 
ngd[22, 44] = 287637555734795270318982425028131841433294501931742570056870649\
18865051632899498633359877231752396956880463858832138205378010142114837669553\
91045206422488631863912814534732791250240
 
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] = 783986
 
ngd[23, 13] = -14063973371548160
 
ngd[23, 14] = 199071638830909130434672
 
ngd[23, 15] = -180141945183455089988483328256
 
ngd[23, 16] = 42693039706914922555237214170751152
 
ngd[23, 17] = -4331150258840813509330834336850416380672
 
ngd[23, 18] = 57752682077947997768293389061675591515377970664
 
ngd[23, 19] = 3992093994211562672450661476652342146792243177095123200
 
ngd[23, 20] = 41289420898188209289687638069571739653972479321227539992357444
 
ngd[23, 21] = 
    131125316468926507685042714912342013824756261731596555595215163106560
 
ngd[23, 22] = 
    1817090104247540202231073405734316428412587842584011244295541796981937285\
60
 
ngd[23, 23] = 135051556470330375825832094900988587205665361898835742126041435\
068197660205493504
 
ngd[23, 24] = 615484207082844084654372470660164669791207400428972183679322218\
60267666178294310137544
 
ngd[23, 25] = 188723638282073561878150252649671600288417103157004409370975572\
51731403961572685794966803456
 
ngd[23, 26] = 416473251498793177589246335345427779612767383901666778502219081\
3165418627316809521902673724471400
 
ngd[23, 27] = 695854593003364135518035054506894356881632948552889394278519290\
379921789987825136553343372407493494016
 
ngd[23, 28] = 915523617647109489200253478213913611060994969520949205865227358\
33821827943381079752138010551377017999778664
 
ngd[23, 29] = 978478804067994460212707079931577567127152951258767163413050231\
0008725514061890214647497430988632207831346397696
 
ngd[23, 30] = 871124825266410637032433503540990744999863987141937000923850607\
705822684381775323370215242311457887256181005213008184
 
ngd[23, 31] = 659509866426609657912785661622848109451385114500655549507756882\
38195534023512904534327812164256924784620406918515972576000
 
ngd[23, 32] = 431956285492554581718850451074221529617531536589828797252400865\
5605190961818225218826875134454440202369676036593216216092235616
 
ngd[23, 33] = 248329585396947833683757879204034695597454876167582978227160344\
595441665924827146821188674918496252314003797860160849337115820450304
 
ngd[23, 34] = 126866561821731918175498983559043032860282208728260004647384163\
55290079016135390426598193890544568809715714918582008234590001429863098096
 
ngd[23, 35] = 582108272288750493357681446617485448182707720729748743834287223\
93991076740770696836757535143811961986625910783438382966917013986543094535936\
0
 
ngd[23, 36] = 242098565433918594164728082700504265153641459736407332656208785\
57437090704079519422124233489222052784824116558073451269653059574198129619839\
904972
 
ngd[23, 37] = 920025277509406434632513631163884171917699900905220998006692817\
58814427431985340372661070500470515676348849129386698641007256977195224305359\
5368065024
 
ngd[23, 38] = 321729811858644870105660756378791425190748111812607259954952134\
03622701240358729002016517386533875769040296681615219338375614141927248254776\
674872164766664
 
ngd[23, 39] = 104178133899289777231606082799601450540457169775256180942342390\
12779675007325268787393025240073749116986615518790413601726782918292776830139\
68729464710621683712
 
ngd[23, 40] = 314097290754959642689654867513422084267880303458942514057849262\
15651760215072805575979452341896900921388432149993009621649305447751595180327\
651244196977835623857760
 
ngd[23, 41] = 886146780950133352396055991626081067341828298144682050026668985\
62539336969987729839620993159334870868548041561155528531267429508206422600387\
5258289314596758612491992576
 
ngd[23, 42] = 234980316277379481032002651216449687525391839966250773518999835\
84287412709239540606455574095857261620291915475539163777181769258819215834005\
687000081432258636844614145972224
 
ngd[23, 43] = 588004954673452270127532615308189863440780236149851699473797855\
85498181322996737836428996433751723256617153911293705675535582589947094120087\
5457444148486521430147602955545054208
 
ngd[23, 44] = 139356507898279152114885473597851007477851594795699110882509867\
73878271517382157005273637356536364168805812009557837476347630617207814749055\
778731233209119795029699708094683114486544
 
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] = 12304
 
ngd[24, 13] = 60578209825920
 
ngd[24, 14] = -4931877912325831150728
 
ngd[24, 15] = 9280172557150155075667720320
 
ngd[24, 16] = -3522446657853096647774870600759376
 
ngd[24, 17] = 506500028729071005712563796452628630912
 
ngd[24, 18] = 84683638036859501367217013641612960687412980
 
ngd[24, 19] = 39054643680140139182970721469053011254942682078802688
 
ngd[24, 20] = 1002424300928367884086749203873243759244582682251718851117184
 
ngd[24, 21] = 
    6134159767051520172551197407194841528970481974959296237453783420160
 
ngd[24, 22] = 
    1422513877337715200801139385025399933904971045448073990778086818432552373\
6
 
ngd[24, 23] = 161609614329667034172137387143203572375992624208318246697589666\
17928766000941184
 
ngd[24, 24] = 105692526128702725316684349727374958653160367775265275571962364\
77959764798904627833600
 
ngd[24, 25] = 443909887318126972508495496386208339265395150465663876121977838\
2519263566672554170371277696
 
ngd[24, 26] = 129473301570425056828826958747272463335792548215997536280130158\
4124587086796745185902032205863540
 
ngd[24, 27] = 277941930646322270276282564257361746958415458003771390420857840\
745822857551211706399536908943087634432
 
ngd[24, 28] = 459180210096066720096403792056888078610577003415571808318329745\
01345718588951535443745322137643179541372096
 
ngd[24, 29] = 604636932154383338890142859600836023237023831266539075237260056\
7603957936642684943331770633585619894989401160064
 
ngd[24, 30] = 652694745457496369465495185709498990917200740579024075693681061\
788656648924790386956798700587325275383085062368996956
 
ngd[24, 31] = 591030473001746438802689583837428603522471833756369726071982106\
94931976871806060440840986081708414074734658429787763790976
 
ngd[24, 32] = 457578020975747089886512594949415374619679880838359767527877614\
0911706095010690038415046063447717766529614411247752120187625728
 
ngd[24, 33] = 307764338107010520010550235541347294962013805033647306884725933\
350025774039596771390567195769657301031874061388253081341428454063488
 
ngd[24, 34] = 182289205852364951655116772910386393377405118828657349414881347\
61623691798723882213391459575181587919849695517075524525642427408539372056
 
ngd[24, 35] = 961926348997990116522562259260343808367623642675115366684986902\
29299932691116553962551024463880752313730908565747443183288301911531992255756\
8
 
ngd[24, 36] = 456798282480075706965577985949387997563999596134846482092549812\
70945264466742180510702363681376403744660340263163521156929392762910918028074\
238352
 
ngd[24, 37] = 196928770772076952533359964145003369058044568091170011600920456\
73897401866547378377148793348602229585426471395104721443436988053483252386546\
87706043008
 
ngd[24, 38] = 776655424034927788495182000586129986786737126395125541229871552\
36289424963653051637929626484303444614144617334982649824307612793063468343026\
597551076289476
 
ngd[24, 39] = 282112495341438498143547337271517500585635610218602001796827458\
62154088566041733842366211020088188526189103113707679060091438799439318269593\
49006024207185436416
 
ngd[24, 40] = 949510341623358272223222031208926966919105186338318283471819767\
87450776821804868836569998925507789518110003890800675637195948162677942054415\
861911873950230384360288
 
ngd[24, 41] = 297705491249904914383017280164782375443262221188704750555632504\
95646854665845826622368110698253934409894620785663832906060443556995832575839\
06679879996267673774878851840
 
ngd[24, 42] = 873711283254915971659974347201432033663548786344103662619977308\
62229127312906381592854547539780205081935969111330299325408884731944895806951\
189509558330621899099260658747328
 
ngd[24, 43] = 241056143269523873475354040035881342711737255969631755028423146\
76772911258877388274834381600342452612618010101113780086094607943781702259009\
53881918072482882505053074326051601408
 
ngd[24, 44] = 627670102161260486772767387958663851790372776666763993358909117\
78822765511631036133594814005754038956910913731200145036332097086494996297372\
063773283576252747353029777018184849783296
 
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] = 85
 
ngd[25, 13] = -44399031040
 
ngd[25, 14] = 91918727762770579808
 
ngd[25, 15] = -408870686401071352096183552
 
ngd[25, 16] = 261146282833081256314200659078503
 
ngd[25, 17] = -54465259211442927614318978057699050752
 
ngd[25, 18] = 5510963804720556908251090026595083515549664
 
ngd[25, 19] = 223341960333405675378760528374709167241542486574592
 
ngd[25, 20] = 16881484721630012984612431741728645047211475602102407549800
 
ngd[25, 21] = 
    215985271424738096985873564780534606598880396154278364819963092736
 
ngd[25, 22] = 
    880013766992330906931119916557894798821810062719248223868711042964555968
 
ngd[25, 23] = 157885534453927951186486052177662336359149724966998523999835218\
1347043334373888
 
ngd[25, 24] = 151687360215959386025852910275467499950623436772634822554493057\
9610781433469736352304
 
ngd[25, 25] = 888204621641998830092267349564364715401450913227634183457273619\
593130592469477685728201216
 
ngd[25, 26] = 347153173508897216213250622286920644881666155369166231304188904\
455021562176310931497134606407952
 
ngd[25, 27] = 968184996327292053380067313256980173278393511690994362281519462\
34045885773796899336066657582627709184
 
ngd[25, 28] = 202687501205722799154766874769068682115071046304281623729285702\
35996094608848271406570497451268362282998972
 
ngd[25, 29] = 331347147731072312761718038589594552698361452197540065700667304\
0184173881694617352041603869690919200360099293440
 
ngd[25, 30] = 436517926753698801248309744425235923409471115327067476394935672\
085960174380999847314912539777599175397270348237072992
 
ngd[25, 31] = 475428958602048781722135467869826633994983539444881019963044824\
99558634353446204443631237811046503370752344224704831784448
 
ngd[25, 32] = 437208638918451065454712008125369487309371918353638146129848293\
6445929557898930103490211098005935345201016142716947319970861024
 
ngd[25, 33] = 345511211472428422571672387225261556682652233215528429112379604\
254160165958982504856541835185627936367640801322115380610461194460160
 
ngd[25, 34] = 238162952015736427183235862174518702350730553169196128114294329\
00940771537370910502668496870318494065326276732713540143332224826766928312
 
ngd[25, 35] = 145027172923885753501714858392691307397631914045139405452569513\
90078686332562074867706242217457569152651512411477701951268804815190971494881\
28
 
ngd[25, 36] = 788766451371111378476585444515508211669954472003286256708309066\
07924741906608232989911083850635467874665936050533254082353645371564927879380\
806365
 
ngd[25, 37] = 386818062379355284276593604064272091355328468134699759607737112\
11769362643061519182463507896266961292478654142676200085947385307358858951658\
91504096512
 
ngd[25, 38] = 172481351020556495291408424213269857591744881193926167471379094\
59398737186072428956195598144926117159647819441394641135010982973257800516615\
0050733755637536
 
ngd[25, 39] = 704433452463863221926303230569523619571601808913354764352624583\
84180535499940683701298943431836313824391039013907432217980789869980517513924\
91608976233866903552
 
ngd[25, 40] = 265229030710505954675516823033426170089185758121450328049882608\
79509574593938358432620074046974981016287729790087586045762037629106817484032\
1469051974759320947921854
 
ngd[25, 41] = 925969342493981511567946503264534699852299612093934676331210602\
55913515724933049640988622274066784518335216590469095271059174363765925248918\
93611891044998516416290961664
 
ngd[25, 42] = 301309574934174348822431456785649607987858221078926903196111881\
88574279095230151121542710383959235530400017043210441338271661171710672528465\
5717294122864833024880570913825344
 
ngd[25, 43] = 918096320331385622993446630735775088127421600875015877050131039\
82476785526866674624828320181375056104794690360333362723759221792625894474298\
42598593331428179688881553109486547968
 
ngd[25, 44] = 263052950441252173304838302874816833756269817073815601994936721\
09860345051095933379474389443929384860584205679307836156357287388341560896758\
3516565807004747960422798025246800848255008
 
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] = -28838784
 
ngd[26, 14] = -1199199296883651824
 
ngd[26, 15] = 15125602552169147304010112
 
ngd[26, 16] = -17262888603928304499916058080752
 
ngd[26, 17] = 5376864397566776057271697480845196672
 
ngd[26, 18] = -728896590621599653389291499498997416979536
 
ngd[26, 19] = 719509999867941988901147010430363480161450932480
 
ngd[26, 20] = 188780455999937147063304046252290621390506503283084246656
 
ngd[26, 21] = 5600872925852106083477872634614996936381244754400904789479378432
 
ngd[26, 22] = 
    42479236966660782350371776461008413676533236309572157433379380080202048
 
ngd[26, 23] = 124918516624353501087780446364235854176097084475074061754152843\
611619657387392
 
ngd[26, 24] = 180962460098114990036099510864795786147495745473346015571464060\
129374650175649016928
 
ngd[26, 25] = 150613477915576061551988949858016279120504918000452930386853847\
328610636912020553239752448
 
ngd[26, 26] = 800717672730334605668148318935514323028421219850960741598472805\
93188290953363943783648142893240
 
ngd[26, 27] = 293590575282615003787120302297563732013669317530318444804298417\
39593316054238200915545979499899563136
 
ngd[26, 28] = 786429145366656403243877329061715766888880942394284273013693613\
1748545865501338259915556306349771284509776
 
ngd[26, 29] = 160901785976606997736948305098400343456630244162314335099219141\
4018439475692310879670205513156852775061740363904
 
ngd[26, 30] = 260460251308192777288463219354491594313006238554708908296457374\
830241420910380741575100735521242872202012545707562736
 
ngd[26, 31] = 343197252353815336026460451334927317326767453008172300884453607\
09968275295452030782720269442629653814365560552610390490880
 
ngd[26, 32] = 376784294495279834948616955837035813151617079053598731936671981\
6276590699121594953888422969722895370928910519141596411932803200
 
ngd[26, 33] = 351408289686821394861746139343656106773717757062860509920258445\
636690397327409835626914186484072924866782928678858790089876039944192
 
ngd[26, 34] = 283005869550671969522859195789741741966859669095254154965309196\
02709150262777133726216052351570360650149821898122702097511460124970619332
 
ngd[26, 35] = 199563563771982419349711428436493707317281924929970181336122745\
00060684107188649397903395681001326515828160561316746864434148796908807307562\
24
 
ngd[26, 36] = 124697328277435652623665364241758806966250191381573609990600201\
35383643337140830609825377754471985758417398809022221556485690987901594385205\
8428264
 
ngd[26, 37] = 697617447851423115295923683063435236167349740581586995906943278\
50874500800867460692683127841686188462387595675025245870638840768782658743678\
64546830976
 
ngd[26, 38] = 352601470441818189470586512842812768850984463854177451511335178\
55340776779654237955163576556108770545632924283840228960050285493251883382656\
0475309457565296
 
ngd[26, 39] = 162294395919545335556104244216498792075321108039354105057635221\
69305990426922338020763778582239823627967734053468034964562706160234003950589\
492083514542612358144
 
ngd[26, 40] = 685048512207189396982282073425735627735669484343450493460068944\
65220635700229880529089260165696125760968306879920692990081724865160868105918\
6078946100890013374951776
 
ngd[26, 41] = 266835890275292720125175734158340856899463265951426215836641754\
78321331450653669006219190114677930997566994805854094459851499191252708352579\
275285083097039531037525858432
 
ngd[26, 42] = 964471991572032209955713943479587218701195066367650148382866142\
55942843075954757714117464427820486007780280324580509146458421299396838379729\
0935983935750362281230379592204352
 
ngd[26, 43] = 325106907866177308035391013790829356648311601339784171382307037\
29545149119772788144168698717705953452168185923317550378794289785491067869516\
612354429461776441637433289803038464512
 
ngd[26, 44] = 102661545792080454643836821514574909163696710051266399228607301\
77328065631151654256190509855053140010415983661132603319019870887543706608047\
28483090307543359489339044653920672187462896
 
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] = -269568
 
ngd[27, 14] = 9662743440528720
 
ngd[27, 15] = -458784688502149402628608
 
ngd[27, 16] = 1008253784569495715074102055612
 
ngd[27, 17] = -485067800730729445250132580636764416
 
ngd[27, 18] = 91233908079460593204347830248534253053688
 
ngd[27, 19] = -8043313146048058050888350965514751338814383616
 
ngd[27, 20] = 1321131168363071830592439031083349284616603186975979648
 
ngd[27, 21] = 104098153564952417460681344766790960949331368481052360141680640
 
ngd[27, 22] = 
    1576033369150784075863151958148592266966948403610817803743174292606648
 
ngd[27, 23] = 
    7929856734406039504971779985664489041367432319743295230827142476798322390\
528
 
ngd[27, 24] = 178354762402362165409811365410403303033486624256073709020531047\
51130118886413422456
 
ngd[27, 25] = 215531556877616038983320281596436597012508247563562081517663003\
86921313397380251663788032
 
ngd[27, 26] = 158404885663246883436184993480048092985946427529748540221550269\
70405266806485710353814031464880
 
ngd[27, 27] = 773388717268929268862254301095532129442009105505510569192628499\
2526543798799304126149000423187720192
 
ngd[27, 28] = 267821346564978856793811593357692150919000709296408915959683855\
4579181753989894092166779481397647960680892
 
ngd[27, 29] = 691659801726990545318863332181185930290704464312341479309386686\
777869511286627044367502011247018818705042966272
 
ngd[27, 30] = 138562411936559086419060877185983604518760075056617480159517387\
137914190251277922441196902528878821700567346432345656
 
ngd[27, 31] = 222238516139351871995714220001206417682112972057117080369558384\
52186932419092838474900006793153998408303176331780502304512
 
ngd[27, 32] = 292822802548493607197484376979051705157003634155287135339699950\
0319527557621284840931283408128859395770686303012034155112074528
 
ngd[27, 33] = 323794415471175681876965000923110589022760958016900975704809771\
058470766848466070940327922668304859724901734630704521333387973803008
 
ngd[27, 34] = 305904507554445318094185032401363791704065735259942405351724346\
95688021466156177010919994120455946266793387195578338064626835928018256528
 
ngd[27, 35] = 250696003246346200089088641361982245692893498964596038448676548\
49432403025588844161992602861096894967086018686897575529627563174063211288017\
92
 
ngd[27, 36] = 180551373143783301195313088870327635426880289509208999184917531\
18657808169010560129552486951295237499184847097437355404437496800779466302181\
2154878
 
ngd[27, 37] = 115564520426550298161839513517869930295359528055576297886714545\
28680314704337234361245210383188844320258231975003126673410656033648810576063\
806292139520
 
ngd[27, 38] = 663843712672767673858262808397100394701466905546131056538939682\
48465583773507081466477069732910170429143218141000026518647072988287176429385\
0339403713620880
 
ngd[27, 39] = 345181948782136647943816277152437392773484382680547483123885672\
59340592952218219069109911494788102361053982550415146218590590314266797195171\
594089997128925536000
 
ngd[27, 40] = 163702592415431756677458595133703937948388256746448417725397496\
10325832291301098112532819471528475214036353140684120057983667759930882844363\
50511103252521882272695496
 
ngd[27, 41] = 712855963100045306806163910127129522491780125920299714755797484\
23219234146265096630541829279992000509695497891220926240197785571087428372004\
032095389088788437114386539008
 
ngd[27, 42] = 286737548842787241431158510056256293553861293634549462170691288\
72540376640077389637891545188241654022734696190939977519801396167291318710334\
30854537552964114105914453344407688
 
ngd[27, 43] = 107110263596348285370479058345820060343882531299538516511557407\
14397804890541465374712629909742652973902139220192787750742282099954188269076\
7941035949961654037390142751392901646336
 
ngd[27, 44] = 373366271363850611408628923413894746472457331024399176570914220\
76539980074199839246313088901921270040001836813197047447176620107912091774140\
58861357204804295635111433465076743352123092
 
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] = -36273186323128
 
ngd[28, 15] = 11051028780940986494848
 
ngd[28, 16] = -51465920991460266458210869224
 
ngd[28, 17] = 39779170671053589913377436510944896
 
ngd[28, 18] = -10606177770851044015238418694729492821332
 
ngd[28, 19] = 1362338734424397115318916866477311220891407488
 
ngd[28, 20] = 5202589999302843462973139223780859030251154977957232
 
ngd[28, 21] = 1339265925945330730896847248729530501595130024636313810694144
 
ngd[28, 22] = 
    44130977960095287854907680984441082084463314791912453283564460987020
 
ngd[28, 23] = 
    3995071948204761531201367161752120790497720081824951803581723018992999001\
60
 
ngd[28, 24] = 144202946670712706510165853537170119570457570696174080634142156\
5179085128660052584
 
ngd[28, 25] = 259043626421908622555343488547645311493336399125197041617548367\
1175264920904409864527488
 
ngd[28, 26] = 267876094867830688741946145794800423826141890759959745489731550\
4436524682084387071114453913304
 
ngd[28, 27] = 176560818016491112790762208380938162814563485381916274387765543\
9590044301087657112673567885463873920
 
ngd[28, 28] = 799193009099572328218569960566568031454566490902644551823139353\
211750976110292491663125130961656332500976
 
ngd[28, 29] = 262884415355808183244188776887765877129566819243721377167276280\
532879594966909391969343579144858399266493716736
 
ngd[28, 30] = 656696734446331447957419200333107350830659664919152768546456540\
61234671611971814198278537009013377323207594972255244
 
ngd[28, 31] = 129029551824253575337921531118330028078601791946743370330799540\
75390700343716440160891729871618597065597635165096353802368
 
ngd[28, 32] = 205163779936833073712315965955878392619137391940923361894709728\
9929452129352421762569432577788949600300929054862500145472640384
 
ngd[28, 33] = 270264028490453575614014986835511439847914398016541291268686432\
388181703940910524208294909108397593362638956136922038281397681553408
 
ngd[28, 34] = 300789488317980188325969448751668254011278987511202901198907261\
06676477876510080912786094958709546742839042443194566820107405926343108424
 
ngd[28, 35] = 287551995509258848051374116805810947254126316467001313154900799\
97719597530802365458655868142936685032498831307791719351850573098900462681335\
04
 
ngd[28, 36] = 239491521654342630237360000429683078612116468194680387832212211\
75105553941047262599428976008914308978876997034086376258505887648471926246800\
7375776
 
ngd[28, 37] = 175903352184061702060842357443608015668763577995184882291417746\
98714361593226897741287649796636003064484618358185764022629448520996021122707\
395227404160
 
ngd[28, 38] = 115149595670299778696490027392924265064789571831556525428512503\
29762387511257706953637670015310113623906159577720995768675804659208046530431\
90759520284658504
 
ngd[28, 39] = 678068167088805140269511338554621867382421834314165357238890620\
37037431434071649987730543792247970974031936830169489519579688325817162725866\
536874210868486458752
 
ngd[28, 40] = 362113174898459301545288415917895184184662798367869502316358065\
26960992624736145560405825669600432207207387786212566897224555733751608456346\
08004618813951629572916928
 
ngd[28, 41] = 176647527076651887371980576967246613197825301755550696303026302\
43213927907139044480626014828774076304366088466385528744646362620974450271606\
2634468569355378311320477617792
 
ngd[28, 42] = 792229973125606830404563911179701392033556381880134488761607078\
65537286027945819396367369938969250313978081769193323281980798708076868296599\
05070256976706093852252314941897428
 
ngd[28, 43] = 328525763468357981089925736239822924313877928137005676268712387\
20508039573568678151402380850072255771849755649349070579579453137840494378399\
4870257409406413873641210412377801369600
 
ngd[28, 44] = 126620132419720188417567745293880401315337572198334674009432156\
66762729653725477773717584868067253034796181529917933541894024489738056699808\
784802476118803534705631979945042212396719168
 
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] = 6368703752
 
ngd[29, 15] = -202057001169903851264
 
ngd[29, 16] = 2265737393638355616205794699
 
ngd[29, 17] = -2947635213297506233126861376609280
 
ngd[29, 18] = 1141436360237994292454264764700834568384
 
ngd[29, 19] = -196124094548323376730327013258773365983179008
 
ngd[29, 20] = 29468513212451449140170822989932959865688570362478
 
ngd[29, 21] = 11390864408851605123418650245987542094183063666362515987456
 
ngd[29, 22] = 
    912027051855752794779223356775991150928247829889813676455132903704
 
ngd[29, 23] = 
    1576997681657686636334891419197630681673319410742091711069203905984117836\
8
 
ngd[29, 24] = 948713818305200151291202575687636616599897571664508222053180587\
43649152158313269
 
ngd[29, 25] = 260070193530406541686812616075984753674194000084015894118936681\
120916318285037510082816
 
ngd[29, 26] = 385777070020281383584881966898204776463664234254874569309165819\
871634502621968197336152437448
 
ngd[29, 27] = 348392614978497189158911854014260836671071426381813629189964753\
346683655508041169983755886781424128
 
ngd[29, 28] = 208567914619512813569907706501941610210757132208684680873245087\
875846633223719028081772935345920375327470
 
ngd[29, 29] = 882236848620748200437084802330373544686210409155226135869334807\
46668463041169539845936971764519425567353733888
 
ngd[29, 30] = 277003254426245474550448746004731742598437918812502122037578885\
05744739041690596652588556525469842613347341714208376
 
ngd[29, 31] = 671234024128251657260421646616899445448829015286434430518448936\
8190229570347091182726473319073909498727205298005633577728
 
ngd[29, 32] = 129540641097186839846985124341019627775328449993225557457147139\
9641531748973313798835807063171557224521876256523875282374200880
 
ngd[29, 33] = 204304408718250305781515059986904421394416643411784345967684180\
531009225901026030778294306096990003247093475589497755303188586137856
 
ngd[29, 34] = 269030514539737017461654443954269597579328871288988836119253115\
62825022905940625382106985479847766432527583106862206996891541473824472600
 
ngd[29, 35] = 301174408644559165190946392579266447260649437729164706451477735\
28737141956697169253031132192836023732472837654647133531005522207184534354273\
28
 
ngd[29, 36] = 291071351197952315089347284506736076433025062702905035231164650\
00248805865701995470256517309743030306385622713583094646669940087441455941741\
8197316
 
ngd[29, 37] = 246080451906140553519831716452071683239117364181447735239850582\
57060004149486251759356984002280329810642832658165546719896129686769668193088\
712862124544
 
ngd[29, 38] = 184083757132533118587911463683568762046548514207590719960285295\
05654057211732555837889447959153801026126893084744974136875339948261185285227\
30501757761354624
 
ngd[29, 39] = 123068453747805675342662224990721715476610101216138592943075582\
64741501166156952601567452101503211624836435787122674820425139883050801807752\
5721830307477397624064
 
ngd[29, 40] = 741782837569476107155807774338415390020893926545703670313167546\
81851186600676972730048423527301097311252491175788888078950032104215375167592\
73605835810371606416413272
 
ngd[29, 41] = 406227406920085083859146155320181970529176764378827416020976312\
93728760413717686928867000848082911445307414974087185553532322420138686193923\
6390443984660403463481019985152
 
ngd[29, 42] = 203522855990434763572536769756169159635593183269578766814427789\
83699950539953480497206453420143389760039210711589843323432333735219838101130\
472768628002309636887194835387430216
 
ngd[29, 43] = 938595073167546391780798294408268554821509503476076689874738235\
50123351137579307742766809459566725487966393041791977422341714623696470503553\
5324664997938367602968140531736185979904
 
ngd[29, 44] = 400644858135939935475819291466301370215761112006688558642869556\
79411625232029877305018100906884562046577273126238348201847843831777977776070\
057480939893931742241650732864473548845860424
 
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] = 94648652
 
ngd[30, 15] = 2617972348772546688
 
ngd[30, 16] = -84623089115602366553880008
 
ngd[30, 17] = 195991151565297494172957230831872
 
ngd[30, 18] = -113302893720587212582662633522102247168
 
ngd[30, 19] = 26471570629419796880347006731931375837906304
 
ngd[30, 20] = -3237905725954759097677454545345958613865087014136
 
ngd[30, 21] = 60425890509614740533277681070138514377809278197152916224
 
ngd[30, 22] = 
    13528048360582646290982051686460850997127979131739228770925370980
 
ngd[30, 23] = 
    480343003212939947080310286953028703937993016408694155054101949295549184
 
ngd[30, 24] = 503149230409910612077647246201617222916044592770282681039463188\
4949140421640592
 
ngd[30, 25] = 216762108149387137176247342933965349780533113398960398201041004\
89112479105898487621504
 
ngd[30, 26] = 471119470874356519986545739021641276029887804270682766412690473\
08541843606248213896494100012
 
ngd[30, 27] = 592402520104381771779338891767086241520593607805238155803157265\
81302692479110891120889891279940352
 
ngd[30, 28] = 475003206786991212667431938924096844840284173939849407100518364\
19224523389117500546591651192732856462368
 
ngd[30, 29] = 261023645867675032124561031161643564453568069651528929287835553\
01160495268982260993329153572933301082809947264
 
ngd[30, 30] = 103878276075913658447747435745281598046460277147819806982143437\
27041395166233932822544612120546586478974626028324052
 
ngd[30, 31] = 312635780311480733862082967301495539515925446325814275550874499\
0978585083544789633615216636705715718803601643396502148992
 
ngd[30, 32] = 736713275910636845619900821472025451584515865692687375499760506\
648322619476933780879551085200126980563965078669720518065970752
 
ngd[30, 33] = 139831113751803122764020838407566631628783638383200489128972011\
206230141739880076108909712908259463082168266089111466774850944140672
 
ngd[30, 34] = 218846239355202731776365844637687547589870029929819824887435555\
63362765773004009390437517597181753300628723796921053333024420498807953252
 
ngd[30, 35] = 288035517094058458342295643713791241021390562423895298375073944\
19956057630545262727196215045657083770544607840470704481963443423917484392012\
80
 
ngd[30, 36] = 324167126996837624170797178173837261448244604497946920817879040\
80225918679157881348596008014886511661871662362856929604367962843273057590039\
6081368
 
ngd[30, 37] = 316455196314329936375968518281031078168365089137871325109011120\
32970338862347883167376884943889937410427711274242985410892043945232755041889\
190948096000
 
ngd[30, 38] = 271291231834770427155310760609321333498988967928625775570231943\
98927207004928324183912802396711699786758865825717510986048597398925290223678\
16581514205686272
 
ngd[30, 39] = 206445714564856846022484791786433912258367315522321362939950774\
71192365848486613353357243348330276727398406596580140581803754353914240935616\
4212739287284139738496
 
ngd[30, 40] = 140771017418988472673342900003628670055165329020218433505347725\
33074822278323578564055511124286382805805259954530447027255390708173841750353\
621276280542984154955786416
 
ngd[30, 41] = 867294053274798068645583460511688231540482204367828330588325059\
18046972804573518094011149428677033776268383889783867826861494312148681831265\
5635408147042752627944281298048
 
ngd[30, 42] = 486369566912419036603186315482818531001982053768379730396017720\
98272399323647108034315148178695505537659505986426059241048302704428736636017\
366452002785425330632508958143092076
 
ngd[30, 43] = 249900881593870638965366770485691915661851733728066448492218311\
36701992649631801935135564735229997227078627092954065088830131387916114644718\
84503306036826593409095023838766125435392
 
ngd[30, 44] = 118338992619914851493585842490095530533399185344383122123876744\
73576145265126571476729912929265490067394485988513092366030044175762107543802\
8385490322915553236957322543495867046812869120
 
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] = -24072
 
ngd[31, 15] = -21374438244874240
 
ngd[31, 16] = 2625585411945854531467566
 
ngd[31, 17] = -11598868726679721720363655489024
 
ngd[31, 18] = 10331044539373353996104928957817905832
 
ngd[31, 19] = -3341056128311057356482355907313024768272640
 
ngd[31, 20] = 532505570211874763776016443819316227742788901602
 
ngd[31, 21] = 130653994484596563539341026731486920706088045636217088
 
ngd[31, 22] = 138980584914904469533716894991624114498703716694278523106955800
 
ngd[31, 23] = 
    11083879929325922448258532295303504611324477830598286918007273495550976
 
ngd[31, 24] = 212773634515979350735144873555593797811870254290290101475506332\
583458895078884
 
ngd[31, 25] = 148934330661671291902736537689760177175436591476735753806905010\
9686910943929194921216
 
ngd[31, 26] = 485557112206418236367063988173678954787369558792962318872363618\
6551975596479629241702158088
 
ngd[31, 27] = 865122470396874882116607677155140531751756625224887438519419187\
2674195662363347411174686768952576
 
ngd[31, 28] = 941783723286461707098346175052375830796456396270646371289970258\
6056156186183613271673778423829136459400
 
ngd[31, 29] = 679658384213816871979918130914192311158954440504722220874722457\
6597877706384443265411584546719100182146146816
 
ngd[31, 30] = 345888954459462602412875917929949572834942029705726947975073336\
7445573963960134617589926833737173548353476001175104
 
ngd[31, 31] = 130254573105922207800409380192661091985772902536916184701785617\
7473688495915315580333907889328302832618621466539830275328
 
ngd[31, 32] = 377144896058553256129957266070773474285208162499288793377212139\
367662197508629704649541450796418861543181856253369284725887248
 
ngd[31, 33] = 866145401805145483725847973170199746328429866554679327491839891\
50291280241551060239275610442631228279826018593167843917950135072256
 
ngd[31, 34] = 161872976094069060296722509484967154192911615597925957050168353\
77644809145555410070651772307313117167351113672469074994123219660749215656
 
ngd[31, 35] = 251512477428336442371462123004100324252824365402633601292962526\
71868916342365660932479756797257993826493612621307821044822778356897228518269\
44
 
ngd[31, 36] = 330831535585380049598644706702642341497214898231227259905607948\
09965613969993616686121498543605004002478448255771645848079471077548758264831\
8117654
 
ngd[31, 37] = 374134733939129537361914655782363486703772041667717368656861873\
96983576964839210754331941855916905190989990440488299273404279021888370242909\
018025656064
 
ngd[31, 38] = 368642456842284068132483000446179626558571323496933569063726345\
20290276151895830368453687493508535293604339569404748490173899732955987931766\
13811635484093808
 
ngd[31, 39] = 320155422190543405338813465287373039815970895317322838609300555\
04557924309478801245280890292201206793705394172469161449333852300760475344052\
7939799542937014812160
 
ngd[31, 40] = 247564006255699037283199120717183176381237906544955118659509845\
37471675638545975649932607771673697537830781998287238925446720281259722638596\
611218209096050403987881132
 
ngd[31, 41] = 171970058939564181725803857980290775875276267221592066175388736\
44701492617566455963938767916108575255010984786381169713101252791200186867630\
22771773124210769758018073792768
 
ngd[31, 42] = 108163774003419972592399068578114848976583773768636376565618606\
87623211893774094255732463090552868985833051722226721081915687135441430590226\
4241195611230155757196693129700013592
 
ngd[31, 43] = 620331181865612371147841406077817406255050472589029107785060145\
02422730132935680969173375187256815191250411069959948321944569379620716353925\
04514643188554597081248109940998120417536
 
ngd[31, 44] = 326441908854204854764642671824424414443706346350885102932226175\
48830311835252271551744460925182401355224736997442923181006512186514532341809\
9256878537251488549433599057465747484571601024
 
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] = -132
 
ngd[32, 15] = 85729492457728
 
ngd[32, 16] = -65819925617425995051776
 
ngd[32, 17] = 605103736045321916444192473344
 
ngd[32, 18] = -861303528289628678100781041002972204
 
ngd[32, 19] = 393273456247251946924983970974082192746880
 
ngd[32, 20] = -82474683541726118519848130213469474105370238080
 
ngd[32, 21] = 9979019470721294878606951060702503157418442008247552
 
ngd[32, 22] = 942920181661977794297301463627167624885897704520527408053868
 
ngd[32, 23] = 
    189441524978653359840369651894719759958029831628192022430025318059264
 
ngd[32, 24] = 
    7083187219967338939442470994690360648194778323117086711637412205637051837\
824
 
ngd[32, 25] = 836801887247808527852836583706276462536088174017893144888837546\
07006204347257571456
 
ngd[32, 26] = 420068367990183076792326381453127706647543797023037996841314230\
704228242790174859741620292
 
ngd[32, 27] = 108097872482126974281657721369897112913135103589824289793840804\
1151252775493956483271932186228224
 
ngd[32, 28] = 162122466984459202848790376665431220972354901838132284391323869\
8396842741810135493135269766396492008832
 
ngd[32, 29] = 155442781076926789318828645709617433307090608470520838193515563\
4992053890750853720304462568264761587214723584
 
ngd[32, 30] = 102118389651105142986346713312066097532170483521648104058728113\
7727829760427515816531075965847489439667535367906592
 
ngd[32, 31] = 484942856318985629875759483518181069942815783728640693972880193\
228758228452466609886782479110886510046414407989713370112
 
ngd[32, 32] = 173667456728442105289652019245674282179647547597088123654258589\
022681693125766944841529756667794806736711749824705989969630976
 
ngd[32, 33] = 485313432497388814456389290069959793621293888925683077457224348\
02634843195010499336229484934731286584462959728980078482893432321920
 
ngd[32, 34] = 108835409787295425114391214516096503808508927958230596062029666\
17616837041803329598579284932961804199153994687497670434764141882363142292
 
ngd[32, 35] = 200486411591262235718418739156395518842209987979349486528786978\
19029859849231800753913166029678963472460587778644152966068770592692820401639\
68
 
ngd[32, 36] = 309379256975091093436643853923695002385788717885497721148621749\
90433306976020460410361684126975721773147450454897451765604635445665194128256\
9100416
 
ngd[32, 37] = 406672442399379510087198625692619798693676930983263136707305781\
04985614816311599882475965664115993071580459694334187202417768759548149614399\
422645056000
 
ngd[32, 38] = 461933566586874611083491017074033095713821343628043631211286426\
35497989783834529168908266952058490721473377938115525893193723413952093614147\
16019174145829432
 
ngd[32, 39] = 459088325272862351931828280439418231811510055860254577982433585\
12954201373824982566593078570148979518747749210815443544362275954443611018940\
4849618490215530525440
 
ngd[32, 40] = 403560552270737181451526180979256872559727569634243144532671224\
45282242185560642706594991297171624135673751421591350199605922977480348271692\
365384106540146193574286720
 
ngd[32, 41] = 316780669022414017436533191093185138136036185437082722538190743\
32949369852196223697018602956600458944989191284557734124600511302933848858965\
33767210691154515788769915454208
 
ngd[32, 42] = 223927445743145797325459778126365536465438460008245906684289799\
70130231832643451646975411422657346263360599909347598009423652773405401084595\
5577519024576184036807225352027447180
 
ngd[32, 43] = 143617973327135021253515342316331659425788506414309859985681310\
16284009813336316954486916271286870837141990116541300324098437472315504882878\
021146334118584489937633686068632995667584
 
ngd[32, 44] = 841336745180712904478925441975519305147608758006255027712787445\
45578619508831050601641604967714335119874130446478343154036166487017366129543\
5390828906970794507265123452739991082084185344
 
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] = -60489784576
 
ngd[33, 16] = 1283000991025257973932
 
ngd[33, 17] = -27506744481128216704572375040
 
ngd[33, 18] = 65313588665736086198044740984070984
 
ngd[33, 19] = -43047770182164255385140650420316258725120
 
ngd[33, 20] = 12040807380970511437134309766910219663745125402
 
ngd[33, 21] = -1797873903154968627617210673671416880521073090644736
 
ngd[33, 22] = 4139264762452884675070816269424597171439865547927560279528
 
ngd[33, 23] = 
    2332007805011972218882269593347242905590211958428729183793191402496
 
ngd[33, 24] = 
    1828184125272348525056499462276112495370304909894537595402008774835805471\
58
 
ngd[33, 25] = 380916119009641029672253878400010764708040302619929251827090142\
6414225914273892864
 
ngd[33, 26] = 303191228351070447154129187554576725458928070338974804696141930\
87819422893445062377832776
 
ngd[33, 27] = 115081816184678759951425817460866025207035931450858444939187742\
228861621412559671597841933112320
 
ngd[33, 28] = 241586319453668647342737202474291964649007854456570568691461088\
391921271139073663837687921151118688242
 
ngd[33, 29] = 311585568428336658088447265082859941929553632938088337544402135\
657746270352073836250306274143013834174074880
 
ngd[33, 30] = 266893298204777938326660165115919959552691030700915029801515650\
249876812556695444367877893858891090753227708715760
 
ngd[33, 31] = 161149132419797977611270836848077091695746181516542451784264344\
335152008207780892462103278749625088257376001997166028032
 
ngd[33, 32] = 718728976183415123919964124518288024718001597522843178563704805\
53491361928187266543115128778617755467937102298750099849445964
 
ngd[33, 33] = 245833887700659737541033549415003679389669291290053828557589309\
71422509579359309937219025872443919888231921598642230853345093682176
 
ngd[33, 34] = 664896937470394410941910948586827046898260966153396636207752768\
1038447367837707568592334620063285029817954611959727840856816939995455176
 
ngd[33, 35] = 145853570235517822574704954999236736263717776428817600300976507\
31421521346607577976804501861327693530477822282201188889379669261967122217305\
60
 
ngd[33, 36] = 265076304157494853421928062458726624352576416631564717480545811\
84368273499104497494605005611206848368904327384592024444889222289237416107499\
3093782
 
ngd[33, 37] = 406401967944273664788660780440567008348775519740031710421484842\
42078350034977016477594368651410179012790057586208352198530356570846254104428\
171881257472
 
ngd[33, 38] = 533812007105025692016939766338990795658651882501085697326303027\
30215363362627439468546783556471546496135023999368947510644700264902229631638\
21574587786966880
 
ngd[33, 39] = 608797197191462335108856405643417450599179020958566066549958992\
09359089956023093295121834310381672498716391954839326080535676827162308032002\
6096774239104221681408
 
ngd[33, 40] = 609906311889371310073274916644479878050440813261229128759669560\
31262615887037152654962807706278340163768710942538388366195594535888387029250\
352721303462212696797787242
 
ngd[33, 41] = 542240335992338511893118359721502878916236183486390891648123233\
68838410946036421095549954309871230795520967714450933265923515133813941193512\
69400418088722874167906510678016
 
ngd[33, 42] = 431687323650269992307593797050493334577290317512497720276195038\
42291643641083340641839819105529752051294556262859956818001831526699257906530\
7592438695859737120666161110022627184
 
ngd[33, 43] = 310216971550267642353582061067310279545845023202504707999780473\
72883510669923741297141425546576410263315433506285849123864610927174669015317\
474861147521838165929358698713077672510720
 
ngd[33, 44] = 202663491391234996411945334991047567840225456632798088235851029\
99284975663126650599420994901700954609266537723293261651373471209395678735368\
10931912496898280898997856721803377472942936460
 
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] = -33541248
 
ngd[34, 16] = -18382764244682779576
 
ngd[34, 17] = 1074105979206407394381301760
 
ngd[34, 18] = -4477995803282437742834577576079780
 
ngd[34, 19] = 4367774865724756098557399433092976756608
 
ngd[34, 20] = -1653796456776116452302741368653728506987154064
 
ngd[34, 21] = 316276394392026661395414775986558907733405347205504
 
ngd[34, 22] = -26495019174416131751226118031009578557800374440862950100
 
ngd[34, 23] = 
    19954648522663498125194352297939350328463391647407238244845291392
 
ngd[34, 24] = 
    3592143393918540314142748376102109870522800120430178258270960699284703936
 
ngd[34, 25] = 138971892287723962566280992617752220709802374650722923075993168\
605155519050910208
 
ngd[34, 26] = 181306987138801293863212131717668157838257586692969373269813580\
2634222387605177275174364
 
ngd[34, 27] = 103895237647752435196318886193072563690049432402456539403174513\
04519308489217825625626504639744
 
ngd[34, 28] = 310593257764078690672055779495222337654569424713338454771046679\
88268874651743116256734349171248609656
 
ngd[34, 29] = 546092403364907602839423343060499578846988442622256929500791129\
17783439807281155255540670026478910137827072
 
ngd[34, 30] = 616414490233564635587228623774574909777294757970723772922858829\
26159397628440383942717175451234928408254938615272
 
ngd[34, 31] = 477356222149404864758350032570488844684334178533250038153714197\
98815475110300028225808539978035859486814090548556916864
 
ngd[34, 32] = 267077026221270985541535716005071587070014205905309433240404008\
25290842215014712600676893173524163013852399530879620331737056
 
ngd[34, 33] = 112499969340232798271926526191908782350244982842889400815021160\
06382277996584360858534066367131926417740531308657429262511674494976
 
ngd[34, 34] = 368909374697222866576091527328725297021571598016167752264150595\
4283473714545295604316061109894832059226204559169128196773338742851013692
 
ngd[34, 35] = 968099513683993879728134501680257355323183271082657363590764019\
08485679343319271080491360805340069945155586667506809959624889475929279329676\
8
 
ngd[34, 36] = 208049818791677981843248758624341046236196951493524599850560258\
37428283200296425899518028576373185567835724093499288977987629720233156230366\
9824048
 
ngd[34, 37] = 373361113911157428786516604279531829938159639430573421996106110\
05644499971766621173093149218719168450975881952938008211365777034540845284051\
932880902912
 
ngd[34, 38] = 568902750775624370451347465456899771061588159338076933595010960\
70172826912039821068254416311036662498506655682052011048928419450165753281515\
88118835140688240
 
ngd[34, 39] = 746669061050173305049823600282489066393391647852458618661688364\
61206723973765377847754172498734348175531373596449159944517203775504342197914\
5666062565842423530368
 
ngd[34, 40] = 854703700678226656180589104263896811075643122433701035793981515\
74796060129315844105505738747247491355808177360793219691865061653319315326677\
337695646767609810325485088
 
ngd[34, 41] = 862659999903772998043909103160691685340017335442969637913071140\
05161687515283082161444525700555638274105324469709965656382112974235790563434\
62986569261206956283695917434112
 
ngd[34, 42] = 775129523268556863629311210303165194125227410012727153688500493\
52082511133218465730624678164933894652796565314551872817709135616381515666418\
6810290911694444953077590305138665832
 
ngd[34, 43] = 625340862330836743299338226590539966989996854413987963752516750\
32415125947220319913590249771908486147921160829911845034461170049108983227392\
047486973238116994887491372324865540464768
 
ngd[34, 44] = 456414975225165398935254770996325079813404863586838547642265375\
71741403995596583603045808512607005660632775207897406935897707320509342890956\
20815412229474581148484241392570851994229420552
 
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] = -359424
 
ngd[35, 16] = 176914991443391278
 
ngd[35, 17] = -35387637100649621542933504
 
ngd[35, 18] = 275666530488991491212224628766240
 
ngd[35, 19] = -409335726149177494198618292810528713472
 
ngd[35, 20] = 213248043935441914795733264616935985870939572
 
ngd[35, 21] = -52781282983768274764071669346918236381797043173376
 
ngd[35, 22] = 7470167491909235735698242489610079909915411199818994440
 
ngd[35, 23] = 112561131850975151655446205810936837813046200140681342854140160
 
ngd[35, 24] = 
    52548755998315339658894563725108264100705801760956243221305314076122768
 
ngd[35, 25] = 401260941579757922076936295171879246495204239246396089338847635\
7314466283221248
 
ngd[35, 26] = 891187135454203671056084650886987999185938105957651305088347390\
11040034607106612603088
 
ngd[35, 27] = 791185930683157027980988212723432206013283975304772195918289501\
813891017561438237404549910272
 
ngd[35, 28] = 343235356160836248717219327241973146956598609459728328491297627\
9817911964485060271062637580715267714
 
ngd[35, 29] = 834602850251567214659766359348654201457261131198476452406459637\
3837173411323785365413638211085530253324288
 
ngd[35, 30] = 125563423751127822010575714876225251032325231419010766127316155\
20639407369155547699184700314493472935271164498424
 
ngd[35, 31] = 125866434461337872782373823568723935170374864520863021001692982\
63759357760978944573449257974795483334425096479261288960
 
ngd[35, 32] = 890167278735942553032872138651565569790925519392508426665988975\
0753383388790125053317161246928179512819110657356146623148552
 
ngd[35, 33] = 464747538689596495921800414758194047262090801187004784659716757\
9033310263750059863250917628301461187806818768906116730207731309056
 
ngd[35, 34] = 185791083308203005792765951638067467904749212064924771724900688\
7834639897647236812372810193243388346376255544935143656617352114281607112
 
ngd[35, 35] = 586040692470023257262906682892536387386798677733789001146892762\
47193765008638376520714660696063913146839436567376429938341899797392429875200\
0
 
ngd[35, 36] = 149546030917439402364265358530813308482886404885675251871605316\
69801990265023219837059598748444842301330774351757261683766513405109017776363\
0171700
 
ngd[35, 37] = 315288367250415414451083542914284090437336056402158982026593665\
58016501251339796479048655310753133805662194856047535536592305120657276353886\
580040598272
 
ngd[35, 38] = 559129156037143410214829268006989842801996087399074795088642810\
57128714894697152617526131351036198341591141566808098733754432994092625786154\
33202873568812856
 
ngd[35, 39] = 846992577794259770674231084703543033630836681613098066763170667\
76363528120234406390598577288889417834290792379521099749632755856932377552890\
7511350503506305053440
 
ngd[35, 40] = 111073568710952066763363414739486192961652052932849818578797349\
48063926860214424141369447532830091983993598085722209043760501685513070837927\
1749419736508995490880915944
 
ngd[35, 41] = 127576383247763921404769691017386537895837026747736359280020831\
10700451438221816885184113937461783822275001209051331318518117874015478393426\
036244630169588992813203734292480
 
ngd[35, 42] = 129661265110292198117681201380536033402054627415656806137928294\
33905208657156248014999325134867568790237492717188899047989756277448638670200\
92563157786924408016616950108917231784
 
ngd[35, 43] = 117670475965171929956027648470547797537607392689736555675055730\
80704168652749913472106999967321483315150969571392638476319317276659575146230\
6466342797551868649510545772513817053510144
 
ngd[35, 44] = 961263541122882067212144244975211811688364329943641684842383216\
43832122700033470650832654704756564719710088414358489969530798272675535228669\
12640797951060053171074092284830382435303209342
 
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] = -967713951224848
 
ngd[36, 17] = 961029906949378928993792
 
ngd[36, 18] = -15113776477765797481649524223792
 
ngd[36, 19] = 35292664251155254561836652353360622464
 
ngd[36, 20] = -25755588754002357172955465689602102735635944
 
ngd[36, 21] = 8344476842782921155989014380952743956182082674560
 
ngd[36, 22] = -1477074245975389587738224408638508490194884069012745228
 
ngd[36, 23] = 563106107951701466291688669929126528071831509354888460294016
 
ngd[36, 24] = 
    556746599595008101431458977858326193941373426839406589599357733162336
 
ngd[36, 25] = 
    9033179004030723592236211199261034927771219856160116309421633221288553875\
6352
 
ngd[36, 26] = 356797300135946467452889911168113347459301787988142626893445743\
9046429806488191466088
 
ngd[36, 27] = 505189991093953034160013209842318971366789992936829059573080646\
73016622014654712417836401792
 
ngd[36, 28] = 324696217425342434143033551378355906695728651136359267953782214\
624120257222132428280373059321730688
 
ngd[36, 29] = 110901553759284213606864913018510469816709847974319056488553267\
1690909780463632394940708907596353379511168
 
ngd[36, 30] = 225099481456119581529270185002602132722933380816159279844014940\
1088822822929390495159562043684828441392391305708
 
ngd[36, 31] = 294944354375856135522107079167874446092174615014827135772281501\
6505631039782711924134811919349567940880831064661014784
 
ngd[36, 32] = 265802179449583283182953098323536081161209351194808781991604950\
3603024628444658748569790412974005740258129740403795623819296
 
ngd[36, 33] = 173163923569250599509446023502999474378316585069886809913957428\
6999850416753819825331786449345690330446649879560972321373181420544
 
ngd[36, 34] = 848777601002298211412899860479130833147196564472189773244753404\
348998115901258582978179432236649518003654841922230244985284274917314612
 
ngd[36, 35] = 323403444586480850909730321811195278055092691126458563565590476\
14189481140832165952710584365558384388667247382326239934503125395906633339545\
6
 
ngd[36, 36] = 984150827550571271921376212935581804996162501912914568797837498\
95542334565140741723621064405309890051781994273430304964444641835796823873717\
255424
 
ngd[36, 37] = 244687646035586232568967743912430138765165143235568012850669679\
68128600308024511910545800055615799532657456743532679280704192131131944251503\
686726920064
 
ngd[36, 38] = 506725109401838449173883495958320740758866378781943481816961725\
45132357881212917006587872966938517889818929120098280100398589828995196199745\
00613418717469868
 
ngd[36, 39] = 888635276859394732336252414801841265602679267311230365578180958\
05064377058764223929716868894552616349301889738481204868558291728986911468732\
6607584549227218665856
 
ngd[36, 40] = 133867180406049538779111193744637041287634781555394329913226433\
82357412801560442808978547989399982766965995759788305314058862908229145873743\
8278914201621877437414150600
 
ngd[36, 41] = 175401635263008065652518312759914238103147061365705934656150696\
49729479243876238447059827166520153561276470774027124844321524982935797625792\
704069060830954114132095876196736
 
ngd[36, 42] = 202091387705336237092545705605621701531708792431531026742974664\
25315715506584801870742184619422694448320191221828013713251961277968760177624\
98731913499885492994186151151070809700
 
ngd[36, 43] = 206731106038928550649034983650823929014347664087800993600585547\
48628869901620973868603351695894832298761809332657095139368398155017011004290\
4481772624050882705143252416983110160024064
 
ngd[36, 44] = 189376687557841187799473829952551734580532771614956429613797580\
52672406895825554289153739769174677649508552980569654133744591129646618518620\
114738581756551163660570080338793773531862993936
 
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] = 1995257447554
 
ngd[37, 17] = -20849068365010715141888
 
ngd[37, 18] = 730887678234768246150127347504
 
ngd[37, 19] = -2786974488406117854653113853608084992
 
ngd[37, 20] = 2906422554386242788525979470361344634966485
 
ngd[37, 21] = -1247795224398651247910647071604298252685668986112
 
ngd[37, 22] = 278977695250484079304762384902080899427023806062651544
 
ngd[37, 23] = -36785349554646213032799113781368436266297511877213884368640
 
ngd[37, 24] = 
    4129150299055245565792322601242600533575820762725259683710202055764
 
ngd[37, 25] = 
    1557434976835696547661921982899777898742006154107922309110966293743521277\
952
 
ngd[37, 26] = 115131255156756246200183050023792468179064813686275656475871855\
694036932731018209424
 
ngd[37, 27] = 268644580824022774952573319492392616137561967633727722850168881\
7112768749727779134937948672
 
ngd[37, 28] = 261723122440802316099644947807918589060570118758257834006148828\
26249553253602263848388092680615136
 
ngd[37, 29] = 127708795898488236495092702858151629266174448601133961046419656\
069132118398159704328083845687779308255488
 
ngd[37, 30] = 354304893640543106997522816360328988487768189520269462495313753\
337260521722984796457292234097952692565173852368
 
ngd[37, 31] = 613159268466430982574565747471490262727055187637142147180223411\
959481819880668379590407092349821664106080377408863232
 
ngd[37, 32] = 710120401836063268494019926311135123051706755770416529309896138\
504742565827847707256078195995419246971664374271826729395580
 
ngd[37, 33] = 581369846215967993639141463244123200404270589718603729624402363\
250690108013675625426625921333087583777048643092349489584231952384
 
ngd[37, 34] = 351492378675901731942421591740951909719587934441237310485609295\
543966467768393085780203311035071298027133074264121174800980018802178408
 
ngd[37, 35] = 162609224178221483244459948906617210680703911414592629369902387\
98416745168229025578581266699651745408133473260543639830479542618420247558118\
4
 
ngd[37, 36] = 592747681979018967212195254409735523683904287913583275299814982\
70894892912141622717483531122873982141888008648107602847975216784661903901719\
869888
 
ngd[37, 37] = 174476891458538313228438491187395706587510089435507838331885853\
73552062917240827493129941015987344143319908759749057668509498347818800453838\
909852800000
 
ngd[37, 38] = 423408581631319933521693841575500561320996917063248765987494575\
82081451832959743444875892311915677457780254401964219910726164898850495566918\
39734733970380984
 
ngd[37, 39] = 862257839021485972620926433157217157382720211134195389773690125\
86032049501325532296464958311381930848909531819986137839474825094559767514499\
8428231526587744331008
 
ngd[37, 40] = 149628101455342663258435062637166666570444634852842448329793082\
74448045606633717613587528998841373884457140064572691562327177339011178274644\
3258323971562520450510413327
 
ngd[37, 41] = 224213876933503154598904732650324688657230996446477821785873278\
43225136734943682199736722355707519440763536892884356096677569347911710443841\
752106488210440111076596956150784
 
ngd[37, 42] = 293522318410694657353105698608558294287761958121781908375045060\
23090210167920663854869898996057854497878264938887164115580116510474457055019\
28560281885054293551091576802104373248
 
ngd[37, 43] = 339159652695529093043431934017928525189595644891816113396142370\
18822055194879061563981202567247112815475437960925899268776443989892671027090\
7183219794936236647485553640152428938316544
 
ngd[37, 44] = 349059959837506766091085973171040183245052833801312030116565590\
78592380742328865625785035435260936979855095478334956546404515285533182884557\
095744194689832348898969732866490766566136940798
 
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] = -187672824
 
ngd[38, 17] = 345638474422378903936
 
ngd[38, 18] = -30813366763857233317733306136
 
ngd[38, 19] = 200548651568579260494454314948649344
 
ngd[38, 20] = -305605141910833513420365367009181729855872
 
ngd[38, 21] = 176190619744445479289105276816219605408222720384
 
ngd[38, 22] = -50199065831783617081062348319439889104618215984330908
 
ngd[38, 23] = 8315656218551199281527351712541776297678945660340632856064
 
ngd[38, 24] = 
    19539272745847616002424494675876310824016244878925743785612176320
 
ngd[38, 25] = 
    2012486325024900364210224941042208142564801872588057768453248704360951142\
4
 
ngd[38, 26] = 295763166935251612672828486066584939638995947646920870455003538\
3507524450032515160
 
ngd[38, 27] = 118057863160460886986193597291287387846823232943226802650738384\
588112045290045701043378816
 
ngd[38, 28] = 178829634165510874065403112538368059128511310600159213633162375\
3998827199305856026578069205569816
 
ngd[38, 29] = 126986140056784050447118243974213526989267810510727941860097144\
73741520229530392932157466591511625340544
 
ngd[38, 30] = 488355826017829095612472971068291083631758935856488835932332889\
30452681557145733298498177043465239068417643192
 
ngd[38, 31] = 112868967278761571958001135780439468070244315587388516826895410\
368831573805876059380211659908279096587677744221961216
 
ngd[38, 32] = 169500219964271859674627851067012991908117338065578812284828424\
228402443375067365913481829222191398002996780307985367870704
 
ngd[38, 33] = 175686096025973993105750648288252488861909509189398266383947936\
664148769248592740655644104531499118236370385622010693409679254784
 
ngd[38, 34] = 131839100247180717721085357832685386430224463638223918865709933\
725961821063213263817199583107195818931830832359594927776031971126561596
 
ngd[38, 35] = 744516025133158298453510372176440198912602833765140857443723968\
20295202857054176059550089716816060410775964604128892896804564014721879092352
 
ngd[38, 36] = 326599844312777319719647716798219862666593675905715588615523057\
17956765279484759949826101267419858460455829385877362773192020602138709237022\
043632
 
ngd[38, 37] = 114277155290723464002662511909346262160539359044873450996985695\
55513253813705507768194681541257411819605240089939386485730423203729180892513\
414075714816
 
ngd[38, 38] = 326132573906242833493271766798911721334886919319263605399855184\
43341109254865576213621243634604528667769663321647492214475091436616970852171\
95630596574835316
 
ngd[38, 39] = 773711178092144452139411553135144152998329281922785758875994232\
34656724271675220773751393119878175680725542736319537627323214313797806044209\
7171710013216199001472
 
ngd[38, 40] = 155102184113496633871415495204628160304017799867723314425992926\
22532369358370359232122761165267267996898400216708061282581811120117968338332\
8141693748702438566620168288
 
ngd[38, 41] = 266485312281058151984817610621357705608254657692232823862699926\
70471748137430967335403949432826446085377563073468691784851075521504321628329\
458246942678552751548831992641024
 
ngd[38, 42] = 397309468609943189551075714534753884078517972238274520155326706\
96991658309337980597950791936619180216909160018025677909618188626944226602091\
90889288364388079822576469089977809920
 
ngd[38, 43] = 519661030764179693258747531093914682946774151001236356141951262\
52497491620320919955300714212530671407689737247631381102070491577519871305660\
4638738763018345563569527517789929914782848
 
ngd[38, 44] = 602055793952219429822945586661965628540470895178306116624141468\
99082306863248351336672637369746552520784568453930943189823204448084878650842\
812696239460896109402336815668324109945493026552
 
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] = 812714
 
ngd[39, 17] = -4092512167823786752
 
ngd[39, 18] = 1116294484200663896315322520
 
ngd[39, 19] = -13074194108105698165247752192089600
 
ngd[39, 20] = 29851746619528230480791070529883349995808
 
ngd[39, 21] = -23449456191046525946674007821400270119194266112
 
ngd[39, 22] = 8595396193147580171988042945475214794500241913066528
 
ngd[39, 23] = -1762016190508163028822094307364292569348857383611988493312
 
ngd[39, 24] = 291506796186131505631701402743636555198463919191454397611243024
 
ngd[39, 25] = 
    189743999055791600825686586742537449059533317071791791938411964563197440
 
ngd[39, 26] = 596196707913945448458467905900057463589950335455431022167961044\
84073141055042096
 
ngd[39, 27] = 424977578312735544097400105379577442465077761045818847098208741\
5915362403156939945178624
 
ngd[39, 28] = 102977643316512176187910747876567774331255299968884947610044856\
404066977464455833680159069123902
 
ngd[39, 29] = 108591703239961791969381245915157536383165444010989018821341117\
9104269597608613224469897943432821231104
 
ngd[39, 30] = 587761609985262582048162098882235716957000214798880083942411171\
5865157382050697960857549592704083574668266352
 
ngd[39, 31] = 183580753644789775975616393796349201046064213470245344364554076\
15685818641715110961999706070879693141360475094684160
 
ngd[39, 32] = 360903802815783329499575473414388925383944676837861624962228351\
11194594276465244201681144078869478722432533456123444644652
 
ngd[39, 33] = 477310396938800685297785841928890684198886926840513397962503451\
21577808982611965675111617914931499121775635103098949413189690112
 
ngd[39, 34] = 447502391580769790763152273805787146442897530289960554839304384\
64657452281749627895462077971483493014389329324263919297001359971465256
 
ngd[39, 35] = 310202680933451137831866394138816973060548717715781668988632470\
52264832725705031824137347835302930561188341184861765115955777047695571738112
 
ngd[39, 36] = 164547269133004706419740499088286991278110229356135266247079192\
62178229033439660199229341294251517797469583197246466265660790512677523064376\
073164
 
ngd[39, 37] = 687270908871424290710610989731156571800741680748546393406667893\
36170246162437180913336312624888632250230996678399266666504966843209346391811\
64898433536
 
ngd[39, 38] = 231513512236385857408024498662801854944099615112463242038353098\
93152348177455507810048938137267259991124450397745979105933060704638457944862\
65787452280419624
 
ngd[39, 39] = 641932011139431746174777386927565090431184125120541603951042231\
13053364068293090267314892314706279121859249937708764039171940394037344032214\
4990753820984417952000
 
ngd[39, 40] = 149094520258604749545888754583079011106890806489640888563352450\
64345765200771933252332529052108791244925771150315241835273055754971843707026\
5104017996842630402059993464
 
ngd[39, 41] = 294487477680211394057051584880916091136517312427899762636909755\
89518469801496280579500898850123436206389257682851630371164022384872145409401\
070335399699340843214091078463488
 
ngd[39, 42] = 501227757810418039151148461325435610350477725154130505297295240\
50514102564654765675602748571183033496075345044688673054165852690859873780535\
89924813489528444132123766386380081488
 
ngd[39, 43] = 743699120160040071463383451393688759808196798017210629374222520\
82737124516053730368001404437855501100304097526912645928042894635335693957878\
5227456610616070450021816575634097180681216
 
ngd[39, 44] = 971844690167434319551614089713975623907527556866898610547658878\
05798568736367405136112464016879236395036408776554803851394540583615681436899\
926005669720531952312458332844163530292513817654
 
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] = 17072
 
ngd[40, 17] = 30834343468656896
 
ngd[40, 18] = -34124719349261307874444884
 
ngd[40, 19] = 766982752970567428744087220680192
 
ngd[40, 20] = -2699825300139212834670076612713257850176
 
ngd[40, 21] = 2935932282646138625974998079404471727129144064
 
ngd[40, 22] = -1398726655706125181800635972483768800562159811226256
 
ngd[40, 23] = 357393540844498117956957411214145405905071444918294584832
 
ngd[40, 24] = -55824434389458358254276975020220060909672896794286593540904208
 
ngd[40, 25] = 
    1268468266716353396821228808535408733386474199392147194149102589297792
 
ngd[40, 26] = 926940401612387607796045768924204858649246092382660270618071542\
931012803689752
 
ngd[40, 27] = 124041684163384979590289591334863400542232058414203906943936642\
920674614262498444534144
 
ngd[40, 28] = 496478489560457365139710171732923996953327753491068795934388330\
1815637155586681936568553999856
 
ngd[40, 29] = 795052655386968258869486738973340348191846874264266829221658226\
96755545356346335809985385104602484096
 
ngd[40, 30] = 615731394119598322637207191925734804692987817787606641916557552\
219608637900828860434740996435246848133531704
 
ngd[40, 31] = 263223741683538772380049716673559755864245946361685584660525427\
8597305723865345156355859875477906962517282138991616
 
ngd[40, 32] = 684303843980026363372132627734632945387281284180093094369971511\
4776790930855481695480240551892148936643314033821798155520
 
ngd[40, 33] = 116434841783863390819562130525224807367898801594268094736929629\
58058721186863120011523315801624401762251799253242126490348542208
 
ngd[40, 34] = 137324322166228687681998037208624567689036344157271133408388028\
78719512549399564163383141467214301280645420168014409348670212189569204
 
ngd[40, 35] = 117528402271164415720553088622790370346811925988889979209771534\
06652634149766586992532157186989430575354057552684361319060428408375753635456
 
ngd[40, 36] = 757632539627521740082375550664176011560764964121544921544824641\
30836394483215970683511779508670511122630661376658844679492487131813344189695\
03888
 
ngd[40, 37] = 379378343137618780291944344372583877387010324559622426788140809\
82667039074793758071315197292543477801926482755523725267684348761555854036875\
96049813632
 
ngd[40, 38] = 151421235299942760565301923140650089941520843407025830900818020\
02584634598522000512760491764128117513868483239306067687359588304327135792584\
05053403730993044
 
ngd[40, 39] = 492368482814689422224986582479628211625955661913470240466484253\
29660893629015543398210351056798756577175193770346345033472722543406734091172\
1171556737587425228032
 
ngd[40, 40] = 132892846311357145420232311300707196894478340469107531385869125\
58088332635453158906910875679584565326091984795983980077725363204229389996009\
2224127344829160003653797664
 
ngd[40, 41] = 302572163073739476916899825378531903602650173230718372379090786\
33355513799274842580385713303189487287891657411805447034403144772860642170995\
989338613437887104761307680888192
 
ngd[40, 42] = 589344980005691926642502220550110509101355526590299463625318830\
99185182241421163937141427005147255962758746916930512059276105319614856769991\
26594154749686075401389450450978733224
 
ngd[40, 43] = 994181585514907280211574944039329636130639414311362775327090735\
54635835231189133812123937135331014738367667028974192549260480938559185103214\
3133242764023651704393022815550432359521792
 
ngd[40, 44] = 146834423471754372441054053139529561182788273060099865049751118\
11137810837095375772153907579164032056783110970390561723406712922378338947677\
4720503376022209683345713589862774071782427714528
 
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] = 145
 
ngd[41, 17] = -115677339047680
 
ngd[41, 18] = 859689034044215483527160
 
ngd[41, 19] = -40168941085143076309775102799872
 
ngd[41, 20] = 225236257134234545735902719527044379348
 
ngd[41, 21] = -345067113437434986028349172444697727307293440
 
ngd[41, 22] = 216030217621569613071456977216216620701287549180224
 
ngd[41, 23] = -69321250304191863992477430734974586467382193179769341440
 
ngd[41, 24] = 13201098784892063620220867814475361261546520755910344714041789
 
ngd[41, 25] = 
    4026730919683076981138564434430065710685163070183112637219761058304
 
ngd[41, 26] = 
    1088733728112283670898997590096603660242561898759973413364638308083486135\
7576
 
ngd[41, 27] = 290110904480592990763608682806980347346876345809293427593648155\
5162042302310685211392
 
ngd[41, 28] = 198919492038309178055784830077851902977431241252823449039562975\
229198411906100981063748345725
 
ngd[41, 29] = 495885153212660550275532927996388085607699353408973942261109906\
4455418708585121349269376348744664832
 
ngd[41, 30] = 559475594803197686072114903361934391636403358126216290913239350\
02310134985335775259594967048064878610368248
 
ngd[41, 31] = 331866903950459157780847331534094706263029124302278320809859382\
115741705720380519024500018724852989860184879956224
 
ngd[41, 32] = 115325742596840054010362218330816399670991458988324826547137149\
6117836367164228018780728900944633895386304974770360262944
 
ngd[41, 33] = 254666319028928267533450615776440112018563825828817679711516477\
6673319697317128723420059312351468799506398367374941994150099200
 
ngd[41, 34] = 380573473820664754249328327266073235084737440926564491386048892\
1555067121293592958587750918570801552037093302473912072943726425450432
 
ngd[41, 35] = 404591658215873271435495685478580745223248990850854445639993779\
2737821102537880255239245086297387572794228369056877449717539921159970699520
 
ngd[41, 36] = 318608896697121831049016223954743313434332356738325009973582035\
00601078056434705309721626205507542489009336574385656454755863139428097778838\
15035
 
ngd[41, 37] = 192131963947737798382182986987412573532692244956134615028230331\
96018290375996274083480766769393505505937141885934951589485092178250975212550\
43945016064
 
ngd[41, 38] = 912192588585028737098565729488348746700801902512539935880650013\
41221443245866584026189748830856767228995003817458020569946187545245595809171\
0521196136777704
 
ngd[41, 39] = 349050043986190676710113683662650581735605574712825248109794927\
11085731511841319886354445751968042431319598784101004396891943762652793217613\
3446957619614617675008
 
ngd[41, 40] = 109819391959090512483290032432001247120157708713164727387777202\
46713911793411988825634712160639485227831686143774534277712534051197118885279\
5635672902236671833509953062
 
ngd[41, 41] = 289022061477743515342258680791355186805586698444287150028129456\
66824276475060663209202420969305904318385318933567810255065655453917439298937\
491119370382935854906460335249408
 
ngd[41, 42] = 645845550891380304151512697724429939717254442299959699787890410\
29658046039722794313996236846810640885839643287085399602896553494305599345328\
22919331632913777673974398056772760632
 
ngd[41, 43] = 124148912418921142491065658728790331139509488991268490349312658\
54487472610910257380096409574006754924191684408309972808796780497668592001071\
46264404938239177001999707127597361588534784
 
ngd[41, 44] = 207665870180497484796345502412734503944586918159338190435104093\
58374334328079437063202113721555298573565246593977411849369138140362330076665\
7083571540444615658823387518350653127833501059450
 
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] = 79038018176
 
ngd[42, 18] = -17287332317520666638844
 
ngd[42, 19] = 1860526682155731537746450651264
 
ngd[42, 20] = -17260541938280504157976033869876003816
 
ngd[42, 21] = 37984255149044141264827048049072829663920768
 
ngd[42, 22] = -31622054303307825328079636242402038744981488051296
 
ngd[42, 23] = 12845466021421216951770513778305401432801829431311251456
 
ngd[42, 24] = -2993489815445501050390506664211615373316929503795389207168432
 
ngd[42, 25] = 
    462390365096877285988123290947777872563029625966549587179070414848
 
ngd[42, 26] = 
    9412827184658803699928120458912717001593863679496422001510926494187852399\
6
 
ngd[42, 27] = 536216226941212166541356018393512917690262182299932065192337326\
99982325265629102976
 
ngd[42, 28] = 656727859987353794817012334318720826076823002549116803443724662\
8490342056704410631705950488
 
ngd[42, 29] = 262009850599539362288451483974670272872322531429146193878839336\
492450658480902957810777304167401088
 
ngd[42, 30] = 439219587640254970853696680412395631857403734841473324027893429\
0655913693340616604777376760362101487291556
 
ngd[42, 31] = 366885581641043435392457925788432176421162628018580114269904356\
71993435779242913458438384403203125246744482618880
 
ngd[42, 32] = 172397329984476856237796066852320255946176027490155827458631334\
004132635302276147532318189843869520454801883291715149424
 
ngd[42, 33] = 498653338512228151280555724010942815178098863059615696985458570\
208176630565632282546627543798198269930486403697902502604506496
 
ngd[42, 34] = 951401994005298880892145148321463680474984721657461940927999373\
964068877393761747738534017997160551807035911425716424227962728324640
 
ngd[42, 35] = 126440263533127161669313478176556542133885396882932416416415541\
7657513110646689581982355322397675544282825614278474551920875984577770457344
 
ngd[42, 36] = 122292379688503214031795216287428347995454736232799106576068395\
02373767541866189396700011913196786077925775655253412378097811661303704931675\
37528
 
ngd[42, 37] = 892263006185083481653422578981254607836966338804936187341635624\
43122895527867079539851004967643228787866145817976222184067986764961265962478\
3166111872
 
ngd[42, 38] = 505960989431583550535470517740872831142957620695482030912438283\
03285405162595573971648991160909653636970400511905243237031148530736180039819\
6383643393969420
 
ngd[42, 39] = 228649012645008229425732742974262475494303813106427317779892739\
72304206849097036478603005686983158626381499421786445831740252262324284292930\
4442633245983649155328
 
ngd[42, 40] = 841239900838791974513443645300760370457601827385714920099381192\
07081323021126464176889860537379524252704896841493224823126831331045684388412\
119991167231380299563419248
 
ngd[42, 41] = 256643397034676655144553492955480245333109761549470166774837601\
55364286763019388177870480932515025181986479908944203548807342785231237608831\
217225839240576343658822875764992
 
ngd[42, 42] = 659622763010980048211284465569479712532929370448506280563225280\
05406691974394801629061838683655422442492724213188662509073045015334064436625\
07517135555328513259126441382086256644
 
ngd[42, 43] = 144821842955097320993179086326865338141200373256849837490844116\
41418318329554686454363180517291007119148940757297945151101057398475898679651\
50582345141523201898365972592147833562995456
 
ngd[42, 44] = 274936469268229668730467457471089679541843461788618416760339188\
51709037666228049666820586533440157707517714234280783438398727371248298327633\
5832519486190580445667405253882849596279971554592
 
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] = 35702784
 
ngd[43, 18] = 265149708780980729320
 
ngd[43, 19] = -75348661837192172375301866752
 
ngd[43, 20] = 1209248789929215668930105998047617106
 
ngd[43, 21] = -3906144933074170679802068111112717205464320
 
ngd[43, 22] = 4380210444647773210357670058128689629664218830160
 
ngd[43, 23] = -2271724336253468817431101103499405763612321816204143360
 
ngd[43, 24] = 651792125289929011520552949730564385497531429759009108996364
 
ngd[43, 25] = 
    -116453955022169671911584882019240947667782208307333983944618973440
 
ngd[43, 26] = 
    595239382642918837793105780063437953251286289147197810058472445476497664
 
ngd[43, 27] = 770503877016880333310589697850000104536417117270668259893027462\
361099752770185472
 
ngd[43, 28] = 176926640105531413182747480462229327265112799190923086289806533\
941888690857498263327217810
 
ngd[43, 29] = 116537845348665449744994380204928971077224959231642591990578753\
29517772415744487759052120339229696
 
ngd[43, 30] = 296632235684640045913263427262699626852949068774104796583352800\
959266904219631538871465364783642075136880
 
ngd[43, 31] = 354560928604818283024810332679559348705990302355813501939888237\
4715584281273778101206044820433474294448858268928
 
ngd[43, 32] = 228079169997866390856670827911914523895201990996335981680137944\
08550792597181503498995515752348958502687319875079657108
 
ngd[43, 33] = 872643132518371700660132367607148082267138846116892970018971199\
78944797397347291662499613483246336883957846817808621301641984
 
ngd[43, 34] = 214276503479508113265204460051447379767224044295039854790121456\
510629039434781640385163264737449893485080116822071802573249728622928
 
ngd[43, 35] = 358369266872894943708518372518743371282607257280897702865327758\
587116942352225060778810844799641463534962321738610733656378969636849974784
 
ngd[43, 36] = 428120324406841860513012040131800369479745231130820150476444340\
61903888038965205116391638076064569456334105667784278928070954970770455574937\
4938
 
ngd[43, 37] = 379763063168286184620714178305133800612054623024881100232963063\
29008209729427150322168020900928645031521007616876371820088274490298669140017\
1460025088
 
ngd[43, 38] = 258285439358218765850751417395198364271175168928359062875261171\
58718110531628749617858414566734668176092336092233573285994643340953821771466\
2327449446503656
 
ngd[43, 39] = 138358515652575502795409424461275862195148730597690032164604998\
34340137259866377454441783921002716422339720697363347235701709878510716743381\
5596300640845403748352
 
ngd[43, 40] = 597220501499424083478279826788112619187579076011932884203024433\
98661980676702791519961566653981190677774148120940182912129842792265874514838\
307180232788475966690450788
 
ngd[43, 41] = 211821312424494186737151841198914124698984260618700530414832712\
43817683248558720614838607776766683014182455054136763192594301896474749392692\
429744162289936760805724082125824
 
ngd[43, 42] = 627828551967917221094838685459012398101945064464090518676048505\
89314641586300412288331498381718894885150076585450138028086344647636746833209\
97538258130646664034469904075761746320
 
ngd[43, 43] = 157809284417349121522491504179859616996029295194098146495863074\
68122197660989587673425892566655589794623581553224230282790629979709336015605\
68629204113781188645306071377631072869339904
 
ngd[43, 44] = 340754971435850872198044383042329175050188534806399564148048734\
08533565056394788741099028269369680731295578591553041293664509837038143874270\
1361378788538764708967384605077271433627007702328
 
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] = 464256
 
ngd[44, 18] = -2892485682869633884
 
ngd[44, 19] = 2630983804166626044323562112
 
ngd[44, 20] = -77029114661194918457279547336418784
 
ngd[44, 21] = 374220863012353341719451250863105724102784
 
ngd[44, 22] = -573211389284085108491281796879443034297505936760
 
ngd[44, 23] = 383016393579694230388824641635294708687899872200177280
 
ngd[44, 24] = -136167879877307101693646880273818324004591590711137948372968
 
ngd[44, 25] = 
    29318507832281087088691351162882856553284247916947206064975606912
 
ngd[44, 26] = 
    -1733199301073294612209336418174790853992226774462192795531573935726496
 
ngd[44, 27] = 844030447514536219315538716912203461361759268866213918865512194\
4133538853726208
 
ngd[44, 28] = 384601488599791363175332128815979266057117595230979324667231358\
0487363969238518349143712
 
ngd[44, 29] = 433246819627835243465564008651713123225576195254775153731322946\
967955875798210833678038325806592
 
ngd[44, 30] = 171516050707230340249194749501282464691591760024189615432420333\
78076560687112814025561188112019927693176
 
ngd[44, 31] = 298520959823293641743776208142724242575374119695117410859522757\
925729266562706246786458650257903771337183731712
 
ngd[44, 32] = 266393448643538484099176938663120572535902261222707474915531536\
3401613412512155820274747878252209277014206495968067616
 
ngd[44, 33] = 136236107292552115040117654399727132679348365873744968580719569\
16975040147778006551464984067363504807545381805811172487421952
 
ngd[44, 34] = 434182445410333867956106406128646773641398701926380701940189339\
70963410616491487088776288599767915264044570102976503702688188055784
 
ngd[44, 35] = 920234667394545469985931722438389601019969390779156404320640438\
52744637136364093367953184164429757178312057192724734983472190401059665792
 
ngd[44, 36] = 136587419326932893910305890886745584725505693229023504830347987\
79419365513657469682851649087837091437653214707880245683482067744632870939235\
5552
 
ngd[44, 37] = 148045634213654043069066141823804937739907734838215053811851093\
69025214412726425357474263598959965288312487016281702438658867358670812637167\
0647367040
 
ngd[44, 38] = 121293297824983106419010294588773508200480891082669987198143023\
48677325288648427615366626140535558927850879753321781560704527822130607651342\
0959090486379844
 
ngd[44, 39] = 773127074833943828200014703925309080374586503242154416060514641\
73268455313607353567341929794787072113170060111097721728790900976601231508000\
535581756059363930880
 
ngd[44, 40] = 392843000715905148458935857797524742723827680242527232799887805\
31306782630655373814053356548335289385794224885041652398065280062559028560053\
889381379435940048164155384
 
ngd[44, 41] = 162472351224451960720313911710271312695480671906064014836878415\
32409107403696815031025945933317073840565415837757899560318222769313590506248\
934347357078258316566534247212288
 
ngd[44, 42] = 556830688486745127575962319220788686829039432582693697620048475\
28646306121360241885127926034991676334826930295610651902120673152862618749381\
18201131052807068977116506551630777960
 
ngd[44, 43] = 160627649134474208617721355908252041104157281531715257693396097\
71042631494732290515350736342421731970700215667400015576789404530486983977177\
88393170901017048209866596099037001313985792
 
ngd[44, 44] = 395363537748501178955028757524571982803952399081962297905786631\
85094324559773399302855901500942688213092665291034925607852029595104781153679\
8740036395466436393144282410370818134159608624464
 
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] = 19857403612132080
 
ngd[45, 19] = -77819716809057441233562624
 
ngd[45, 20] = 4433399676524189531981648870715412
 
ngd[45, 21] = -33296723857385895680539562613734403567616
 
ngd[45, 22] = 70742184127192162165223993116124926168539756144
 
ngd[45, 23] = -61495167150297782525351823765157772174428285514318336
 
ngd[45, 24] = 27273057718678682848104892965004133901469776287587052042263
 
ngd[45, 25] = 
    -7110179562390353679652767590584721771090245461292522784917793536
 
ngd[45, 26] = 
    1209676938912635025422956312613728642185685876188211205047578575698112
 
ngd[45, 27] = 
    6866471357061423949506756683563165328647876646112420326750459091104503656\
5760
 
ngd[45, 28] = 665795174782253491783246389200417431140293613808699780748709811\
58694691509834905348212
 
ngd[45, 29] = 133539487519482253203841848196290394911515950947824931938363413\
76631533296356401856005718006784
 
ngd[45, 30] = 844523231640137401167542450074550619073315064833847721244990288\
557987205363465548616463504099671118152
 
ngd[45, 31] = 218152539989579950740473164900952129484768255240399839975148386\
52093052010804246574541725045350039146516951040
 
ngd[45, 32] = 273952193078688953171920055991913523039135277049443999654345383\
997906540164027676504534823051655978434422296333029780
 
ngd[45, 33] = 189365673334721208351074007059293579146807118036947714742953120\
7269805198190209135587770831380268945301405539763812506842112
 
ngd[45, 34] = 790328534638966805128326131832544606825580776460108408626937054\
2083594388596567239547629329128207916055653061028952518812083832952
 
ngd[45, 35] = 213843112887081433582953163635137007605265714933431943348477460\
64810290433056125565149256666829430524712947953254845706538153948088421888
 
ngd[45, 36] = 396786375010940375885203982948023567966667762468287329193993171\
84328051193234483775193807062768166651300039945441286884959313989719829735344\
684
 
ngd[45, 37] = 528266768783157860151471973544364205056772702034144732219109429\
08669933318513472543372645614325572374563580358397541735301753331407179863389\
364217856
 
ngd[45, 38] = 523731587267306785699865006793501403713646149371793081606836895\
06358303501204696460379537451034019181303643694074953613780816603725624755140\
700649857254304
 
ngd[45, 39] = 398786418490138880978431629316476323714600301000726543869362879\
29008463888518932185155596364229118622902324764939417403502955236356109602811\
530163654320457783552
 
ngd[45, 40] = 239360834457174615529423224441675119427300323155184507267322149\
24967612222062364106628975072232280454731513382878874197127890991512040989856\
207748625571986911347697603
 
ngd[45, 41] = 115791282792416538385875721170076939629601275359688730732915319\
10128792193361472524607302272245757232214454731470261163180707837224080916776\
220404730155373801740915060841216
 
ngd[45, 42] = 460137878933141502008930588316304517335754742391529071947901445\
25610872047609291524483233437411045429412003523573398298465484428754334251080\
72491371618901737357877716275822801312
 
ngd[45, 43] = 152710226320588248182479679462443446252968015443015853919236608\
83498264418723562406687976359501541354455377844390793804238185532004224346120\
25053691119510632736252259051763985147528704
 
ngd[45, 44] = 429424846099761545474416870967825619067859666110628886389922390\
47446610626063858512023647637385052681837829122337941518403660515663797473916\
6463927371215216782741279069535223345097982538578
 
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] = -64779929898136
 
ngd[46, 19] = 1905636020653771223588608
 
ngd[46, 20] = -228858144789191981950849466024592
 
ngd[46, 21] = 2742035672820976692960109010870731881216
 
ngd[46, 22] = -8217693388754640697566187156759257429412216952
 
ngd[46, 23] = 9390771400030105853152831532707285856822634301538560
 
ngd[46, 24] = -5232747329963604541577467008365084497664092617158354085696
 
ngd[46, 25] = 1660411019086079363384321667873648845832316123664876028364533376
 
ngd[46, 26] = 
    -333973925441218220259833795537869124934636801358895215450988089318080
 
ngd[46, 27] = 
    4512725061261272205165108782253672768665370069397352397707146964416709775\
36
 
ngd[46, 28] = 903801756843083133320957650170628566865462565068653268594106243\
615535316224153137048
 
ngd[46, 29] = 338125008272065621574116434464436099316307794334201216713852296\
388100650915390203301869807872
 
ngd[46, 30] = 351988557687348788065698675412600389532172698721233146532665966\
16266135672906363421065837770068934828
 
ngd[46, 31] = 137801090089518487237884283574803313375927022720725593573037788\
7930852298191377379340442403056731015220800768
 
ngd[46, 32] = 247318761016890065560139665714106871392837291244410295725703415\
05082096558402366232374689152290956746443241572388592
 
ngd[46, 33] = 233841679981282626990907714394465809268763017625932162035277117\
813475364595289320159063092855122254421362638826612376439552
 
ngd[46, 34] = 129025430562912553174197299482130957739808407901295061296619175\
4903682279993545347015416896991056708149403598470918488444046061428
 
ngd[46, 35] = 449143787816232282422873483771606355157743840107104233535975780\
9891013129762251962663956791521131445753287237462935947981104202357786752
 
ngd[46, 36] = 104856296856301967321208200692101057276317758761629791013791860\
64067676282502628336933282634348073691019413911667213330669506586027697278128\
096
 
ngd[46, 37] = 172413719734920058479392322347907211322756529704221055131534090\
89052906609927230660540435878901637726145142838212317381858138329303901923938\
307751680
 
ngd[46, 38] = 207814494505427142058684637669864650695785916074041225666580687\
52828269919908660845975293041614758571605518661478259573853950659674376724772\
444706137794256
 
ngd[46, 39] = 189798453460620036765398947081558331619249269934610215152148585\
67289215262730923086686533369303094650085439703850346284015834266938076518587\
514904498009615413504
 
ngd[46, 40] = 135052292658636994926105980062325114568706001464680701889901177\
22122342395895318710413957161250022252072964561211536040002759078139753684614\
969267242283303515951813968
 
ngd[46, 41] = 766587598967645833737708223941292601924128602454746989247074850\
18011851452584530361315962364473793183893637136870300043420123233375585351647\
42937432663987666811134425768064
 
ngd[46, 42] = 354217150689048440989912033481837206780818289346798053460220722\
53678379790216332522563032309268504035670349098562999735906048491640651410792\
61752204097830449514301208933356614352
 
ngd[46, 43] = 135592564462527416791820516016978934538225164391970067937897739\
03253275642274528118907131915727142569897128176733696261301159015091170948015\
79213118814149489084740439239709218040040192
 
ngd[46, 44] = 436611691436706519178580827037040479954035818937910484898707459\
88815160060407117674005423767057275799506709586325547296261745194390778632163\
7693090810092409032228946793690637838383785092616
 
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] = 5450058896
 
ngd[47, 19] = -37460960551969978880000
 
ngd[47, 20] = 10504231072822121008890988326908
 
ngd[47, 21] = -208191656772198003819769896320519561216
 
ngd[47, 22] = 896641384347498617656620371594517509108859448
 
ngd[47, 23] = -1362190668460907429633075720958894220025477631660544
 
ngd[47, 24] = 960921111972482098544058495721617594721002168142214208240
 
ngd[47, 25] = -373146580019391807769868254709692032354400359819083197103277568
 
ngd[47, 26] = 
    89604622802938477223282006122738094311859438926831501876403566247672
 
ngd[47, 27] = 
    -127942503751819047148534610406192299687940221723094798238131480182879132\
16
 
ngd[47, 28] = 944719657596969078409782198043140870365944825312123691986550819\
3466347149494026166
 
ngd[47, 29] = 695862890571104480472056077484014254660170527677829873414287948\
6497593383915732068169469184
 
ngd[47, 30] = 123344048788729355441432763281417071581160930919299620218282096\
9071729514684092095967218542503560216
 
ngd[47, 31] = 748964975331138435504363184810792442330196687277108156468336759\
45778992681513868555531153815815138512595712
 
ngd[47, 32] = 195371954951390509640596175918804532627292942374134466547001006\
7777068847348170302447634971241969829543634306409500
 
ngd[47, 33] = 255933392290577702533498544261996906439787329695487355552890716\
48815485667786222898336947276884523697505602820911552324608
 
ngd[47, 34] = 188585867431892160606710039667180404484338395314811412311528601\
030583531236845497049828209321066458197262904504952039881248556104
 
ngd[47, 35] = 851508222383376785924798724295598141424998423880820584226330288\
233798614922071640526954124093753353823422300654269248554930162431588864
 
ngd[47, 36] = 251814281131437612745739454037506802622583075463816467476269066\
57046942311304924276659945318108313873120744173853085767916108264595599905284\
40
 
ngd[47, 37] = 514292673964425387272015725868185544446204726224438084651293602\
21263105992373659273456446899687662409378439286268936045410410439789455876920\
68229120
 
ngd[47, 38] = 757314439561309239632334615114561641239448262335099000991511180\
63940128249927241881012680679038452404136490920726906620675318218723789875240\
05247165487640
 
ngd[47, 39] = 833120920487025391817532544405682696672943924909840658708744093\
29755487096964640529657968083971741207674162781744235655277121552040199409582\
86677454540660814592
 
ngd[47, 40] = 705367173366278692189968954773965752672509054709081069284991822\
22397621163532872108807313395159757438120532890837883646209396055180286939568\
40405585121311005865835380
 
ngd[47, 41] = 471331803563621884676590790689160627694401995024629449448330670\
20873470002846646009779011461601544126517112088666668082305408552482407869913\
69128999859724164028453051643392
 
ngd[47, 42] = 253974489942432965894195442157050338082022125038474895615433494\
71649775488592858611233901430793784954198285729358060802676985019404366589306\
86365059822376910528055258154800469656
 
ngd[47, 43] = 112427533221723126376596409836101446477413223278443401475022771\
88841953534420568390113928263088179283954868577726129070594848986097024041572\
56593305381153364743537259706367974503937024
 
ngd[47, 44] = 415520862003869117062656699642360966014099505499209044478099653\
14900132464300344569682128297527650684362972569057303902182271866072661028940\
6118916998798536669521070076789436784215675754930
 
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] = 162178504
 
ngd[48, 19] = 565917009756290592256
 
ngd[48, 20] = -424224681467747224525836314496
 
ngd[48, 21] = 14510183669809944645016303411420472320
 
ngd[48, 22] = -91683013677944613788764891754030359551622564
 
ngd[48, 23] = 187435136255407399031794247914128793665675913321856
 
ngd[48, 24] = -168738056106278222147230837431641952135748023592081642016
 
ngd[48, 25] = 80648125525756447823245134246478091226700920141152559850183040
 
ngd[48, 26] = 
    -23219450537576403579227438755337668327207306425039332685866370723940
 
ngd[48, 27] = 
    4406795630046687064119790350606536185149736075677091895200896642943339264
 
ngd[48, 28] = 737379134106276417124929078960485220947596387041354779733485274\
96816830588064384
 
ngd[48, 29] = 114974168763665636479814028517081235332534042198518496020941307\
734555660952037208012587392
 
ngd[48, 30] = 360627756331608038001006451695516881671393973010829717045442416\
37304401485124700616179427950048044
 
ngd[48, 31] = 348475601433488009007735092582232934134024168305097603894949785\
7039970861245733427490785132935835998805504
 
ngd[48, 32] = 134567740971216806655854895306333975111502987526213811714501285\
003456973928505962241734188076326391357171868283872
 
ngd[48, 33] = 247625170807672119649428484673084708078746308950546461286747548\
9235130317646722151272733561312921528455676943781396838016
 
ngd[48, 34] = 246307156530986745644727973028417288408864751932689834675107591\
73647867150563190626945358866967202579141942410756040410689068676
 
ngd[48, 35] = 145504814113267947509682065307298276567826743306795850421518318\
437738091015948365889161500425683419816551378921986773467866840113552256
 
ngd[48, 36] = 548951941491738923268366791331930798613597880864208642243076218\
72820491271855271417543024689296508629627163917389571988155201029358861433856\
0
 
ngd[48, 37] = 140087606329806788031770492692972566528565070815442406310324788\
55777575613000619260838344403748837286741495434974513815763912661377257337858\
98393728
 
ngd[48, 38] = 253294381589417079967601172293762599186738642644247408401624079\
96538998314521385825875569335829779394350268710323126566825250123561126801962\
13007810747276
 
ngd[48, 39] = 337107229904474574702913656493301820133828324551709273868092965\
14974460349366110391573392764852302014273160738490850463580230554242201681773\
02078221594583627776
 
ngd[48, 40] = 340899880634401952458087070233882971329736490007218579720242407\
62024268655613824797317970684605585380729434230287571383448688765111113492718\
49054635732552163125176384
 
ngd[48, 41] = 269058495472831346658634208258057507430457746813907134440174961\
49319841947268527198011417912056731318277054024829321150242117068876329803368\
86954104613656698448425108427904
 
ngd[48, 42] = 169574194502788930944596800490742138660041036987722262432908756\
09977548847597934651332215066030215791657115116815454018628339086917968273962\
01913738600960035236948458039583467596
 
ngd[48, 43] = 870396253282521844466358728814358329954906538668396511862318884\
39471404055660635485514390752895339503348060156642841878991567233549102107669\
2700813100937326084805531745583929617165056
 
ngd[48, 44] = 370119141568869803858520004744815351357628158031832254982320981\
93713350837285170463014465773116626698406787613985709459658312832273948580453\
0584675770752076533485086734894050120934528286656
 
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] = -32592
 
ngd[49, 19] = -6147541694555402496
 
ngd[49, 20] = 14884226594492958350924990404
 
ngd[49, 21] = -923713166511679531528476812583949056
 
ngd[49, 22] = 8763247579515082086451112290747822817602992
 
ngd[49, 23] = -24428454579698525246327972509360580965560855856640
 
ngd[49, 24] = 28306665599071881485577718708122276935736559585767616475
 
ngd[49, 25] = -16752142140862852542551511365063741069128865575427166318199808
 
ngd[49, 26] = 
    5808706105000599981653943469742785253855151719887478113080845122176
 
ngd[49, 27] = 
    -129884649362259096414838808551701774480160859942711009879462181029624729\
6
 
ngd[49, 28] = 629477691219944121388674120703402053929295095185864170710545931\
212087238430316
 
ngd[49, 29] = 150328511201166767350321903953737430543467966286367736090349464\
5163883684837375998716672
 
ngd[49, 30] = 872117446522678586582833180083582607148021818422669637384284700\
574045272638911512581733204448168
 
ngd[49, 31] = 138010781473744388583046887516222527534072675822850196337530975\
993779902376900332130229675077155753296384
 
ngd[49, 32] = 804979756585789989675653060955080577421801225600827702474811755\
0238529622342793830748698208379681858053316330803
 
ngd[49, 33] = 211202652853395426708128656237823837903765094353936216422489269\
769384644806696776434174997924840445926006764807351698944
 
ngd[49, 34] = 286863100404570061540136463711827028430861639260338897683255592\
9612283093391564805071165582797192505900844605412306255187210680
 
ngd[49, 35] = 223753964005713390429968236583409394221153598179475409415790779\
83172137057242708448283982538144259444417952840001271537502860152412416
 
ngd[49, 36] = 108501992838690160749902249631277276513597488360555525350193494\
31637059879447507014468244079701088048573663307420396069185772901659045833052\
8
 
ngd[49, 37] = 348129620849980654200844262004109475983641275539529393499907511\
84239240188231215855923592897356375019335465880185174225503723460499552827348\
6523904
 
ngd[49, 38] = 776990510349793997835702061572838325443780586558928542115415996\
54806702400102854733033411622291918300178303910776163365025629350618619166182\
1423895195080
 
ngd[49, 39] = 125671004263456195602014745082888401482433897525304055092625711\
03528613015934160894265835294621783049719382272392466961395609069931947940770\
28569638914509673728
 
ngd[49, 40] = 152389350555857866389936026629422781114821081375684752577476167\
20195268598806179662562926243207030988191010960385510093852855326923814076767\
94433666465283047963148898
 
ngd[49, 41] = 142555490934775138662302795894804060148925758943510015826919538\
42496522150284767538066638067554661351274394663042069146283031836278936078211\
21675237064076718633571205620224
 
ngd[49, 42] = 105408803766771581309740788226516400983040203062882417208312317\
20404241770040508896066826015520634767259869471053596573113637766479056648330\
52143443452246407709979950464835133504
 
ngd[49, 43] = 629066766704382416667177641186984166229355580079126669423851168\
66388725713540018083156393914243230644859735486981196527013639821793135215790\
5742986587605725369137445850854607922337792
 
ngd[49, 44] = 308527514578539316431305235970976652890427326776743291182101527\
27974370390275738425635074852183109019763292016724113371806629897612559979620\
8414704107272362314769994287777365678132581665254