coeff[1] = 1
 
coeff[2] = -840960
 
coeff[3] = 346935960
 
coeff[4] = 316975677440
 
coeff[5] = -5232247240500
 
coeff[6] = -291759264921600
 
coeff[7] = 2617414076964400
 
coeff[8] = -53969942394961920
 
coeff[9] = -301956405096666870
 
coeff[10] = 4400110639370880000
 
coeff[11] = 1427823701421564744
 
coeff[12] = 109970260949296742400
 
coeff[13] = -83773835478688698980
 
coeff[14] = -2201140542163981824000
 
coeff[15] = -1815254719340218380000
 
coeff[16] = -157807745678966784
 
coeff[17] = 14156088476175218899620
 
coeff[18] = 253933258430092970995200
 
coeff[19] = 146957560176221097673720
 
coeff[20] = -1658495113591058104320000
 
coeff[21] = 908075065509157999824000
 
coeff[22] = -1200742619947479087114240
 
coeff[23] = -7159245922546757692913520
 
coeff[24] = -18724113775940812878643200
 
coeff[25] = -80103869928286177640218750
 
coeff[26] = 70450444684158048294220800
 
coeff[27] = -95058185689804150970152920
 
coeff[28] = 829656600186782988763136000
 
coeff[29] = 1055528218470800414110149180
 
coeff[30] = 1526556608776350048844800000
 
coeff[31] = 4031470549468367403585068224
 
coeff[32] = 310284008124999211344199680
 
coeff[33] = 495363386563443929161794240
 
coeff[34] = -11904704164924312085824435200
 
coeff[35] = -13694957581442836516738200000
 
coeff[36] = -95712836062863049804254412800
 
coeff[37] = -154882657977740251483442365940
 
coeff[38] = -123585429805794894299691571200
 
coeff[39] = -29064156034680923321777320800
 
coeff[40] = 282384082165983467022581760000
 
coeff[41] = 1126683124934949617518831346964
 
coeff[42] = -763654807090581511531991040000
 
coeff[43] = 74572686686194644813168430600
 
coeff[44] = 452585385022988775754220175360
 
coeff[45] = 1579910567318335366305272235000
 
coeff[46] = 6020639451024921349432553779200
 
coeff[47] = -13773335595379978013820602730720
 
coeff[48] = -54749181742568193015152640
 
coeff[49] = -2849899104325127477655959934350
 
coeff[50] = 67364150454891543948318360000000
 
coeff[51] = 4911256145326786697149808335200
 
coeff[52] = -26554268252604457042057737011200
 
coeff[53] = 29292488702536161643591933657260
 
coeff[54] = 79940131837697698799859799603200
 
coeff[55] = -7470726621683478058986088932000
 
coeff[56] = -141261686957531093337687195648000
 
coeff[57] = 50984862218995035693685814971200
 
coeff[58] = -887657010605204316250071054412800
 
coeff[59] = 521943213201995351655113144025960
 
coeff[60] = -575391594389022790838039347200000
 
coeff[61] = 896978197899858751399574623768444
 
coeff[62] = -3390305473280918251718898973655040
 
coeff[63] = -790344945329580763296087649428000
 
coeff[64] = -10494430056895762593564506193920
 
coeff[65] = 438325419509469941796640164690000
 
coeff[66] = -416580793564393806667902484070400
 
coeff[67] = -2921787486641381474027809454434280
 
coeff[68] = 4487135734636217310847340858572800
 
coeff[69] = -2483799857014845025078337258179200
 
coeff[70] = 11516911527690167797116156672000000
 
coeff[71] = -10040723756183052209438026581108816
 
coeff[72] = 16296569788856896880498872575590400
 
coeff[73] = 35758360743202050929441049170653780
 
coeff[74] = 130250120052960441887515692060902400
 
coeff[75] = -27790913013285096194339826641250000
 
coeff[76] = 46581972191787248214347805084876800
 
coeff[77] = 3737205855524217948541893583113600
 
coeff[78] = 24441792658925269276681855699968000
 
coeff[79] = -162246739774459334098015102062271520
 
coeff[80] = 825689141858299754475159552000
 
coeff[81] = -54013953930801859629034998340627269
 
coeff[82] = -947495440745295230348636409542845440
 
coeff[83] = -206892964328868666394961575845492360
 
coeff[84] = 287837709056137735518207800770560000
 
coeff[85] = -74068154865741639082020191498610000
 
coeff[86] = -62712646595622248502082123397376000
 
coeff[87] = 366200695782256873637702151506512800
 
coeff[88] = -77059562915883157317892788694548480
 
coeff[89] = 680395062782220767996769753143492340
 
coeff[90] = -1328641590692027309648081738745600000
 
coeff[91] = -219270816263219485668026223776312000
 
coeff[92] = -2269306826258816289786794489334988800
 
coeff[93] = 1398662105291535534795493085958935040
 
coeff[94] = 11582824302290746310502574072426291200
 
coeff[95] = -768918288702645532021202439369660000
 
coeff[96] = 107648680231494401386942806412492800
 
coeff[97] = 2332265955650189235208550925056957380
 
coeff[98] = 2396651150773259203609556066390976000
 
coeff[99] = -431140511993072327701222534304831280
 
coeff[100] = -25390978436084155375696518871040000000
 
coeff[101] = 4386172918053625462559466358055947404
 
coeff[102] = -4130169967974014540835102817569792000
 
coeff[103] = 32195086396948327734208192573193192560
 
coeff[104] = 4521269074989846226433066791442841600
 
coeff[105] = -4751273255677148672057623485672000000
 
coeff[106] = -24633811299284810495795072528409369600
 
coeff[107] = -24228077499906736103239295291195489400
 
coeff[108] = -30131132805242984454688255037394124800
 
coeff[109] = -12955699549333026964322913228574296740
 
coeff[110] = 6282582259770937708484941348254720000
 
coeff[111] = -53734363632858972779049501332065202400
 
coeff[112] = -413048214994145627510847150489600
 
coeff[113] = 36255949371446088080680636143504043620
 
coeff[114] = -42876229731686065216962022958180352000
 
coeff[115] = 37458944722306149670968911425141560000
 
coeff[116] = 334576772106818282121597071109960499200
 
coeff[117] = 25296046202304448121747755134768792600
 
coeff[118] = -438933364574350010927883949600071321600
 
coeff[119] = 37052345252294540316670000157913528000
 
coeff[120] = 97969192634974353475607744584089600000
 
coeff[121] = -95345541328547031863910724418276814790
 
coeff[122] = -754322785305865215576986275604310666240
 
coeff[123] = 390886891565106683105528571437048425440
 
coeff[124] = 1277878108497144789602190884971017666560
 
coeff[125] = 600790565164506729086246500180617187500
 
coeff[126] = 664648485224364238701477869662970880000
 
coeff[127] = -361342894775546586251665886043645512960
 
coeff[128] = 907222399153080043666463731413166325760
 
coeff[129] = 25871946645254157845115610111904376000
 
coeff[130] = -368614144790683842253302512897702400000
 
coeff[131] = -2053619322749000749691039889490669814376
 
coeff[132] = 157018145034920232985515100589889945600
 
coeff[133] = 384648786721584012573313209879255568000
 
coeff[134] = 2457106404765936164398426638801052108800
 
coeff[135] = 497367929762414357899028013533017260000
 
coeff[136] = -764003279597160830089833935054202470400
 
coeff[137] = -3744460506310723939277414819956659325740
 
coeff[138] = 2088776327755204072289878500638380032000
 
coeff[139] = 419297609100113389140294392040631725640
 
coeff[140] = -4340968456889907077528260844126208000000
 
coeff[141] = -4778465407185324237003744076160964691200
 
coeff[142] = 8443847049999699586049002833649269903360
 
coeff[143] = -119614267855462500311970043821196761120
 
coeff[144] = 47651059581629875047593263843246080
 
coeff[145] = -5522784608363726596554085310098337790000
 
coeff[146] = -30071351050603196749622744710553002828800
 
coeff[147] = -988732481662178253582949009545254226000
 
coeff[148] = -49094035436202036654320108887027882393600
 
coeff[149] = 10769495917074628858977625085917067553900
 
coeff[150] = 23371046207652234495592020612225600000000
 
coeff[151] = 9334247630257185873211774091931905801104
 
coeff[152] = -7931291057214802546342826405959984742400
 
coeff[153] = -4274521586496222013452239048691109589400
 
coeff[154] = -3142840636261646326005790827655213056000
 
coeff[155] = -21093650657612884089448123022028235872000
 
coeff[156] = -9212630548314849804165061365408202752000
 
coeff[157] = 33793021179199016867594391971251561680700
 
coeff[158] = 136443018280729321603066780230287857459200
 
coeff[159] = 10162617688803537674534745351637809069600
 
coeff[160] = -1623482645283306702620365071360983040000
 
coeff[161] = -18738711058123866121297225817753318688000
 
coeff[162] = 45423574697647131873633272204533908138240
 
coeff[163] = -110850825156572723151988432773370438791080
 
coeff[164] = 357131146786471810945300458161021587292160
 
coeff[165] = -2591863712391314276533275390268794720000
 
coeff[166] = 173988707282005393691506886823025255065600
 
coeff[167] = -118679333472681624640702222790918993560080
 
coeff[168] = -49008758975830529096960111401846702080000
 
coeff[169] = 15174473108082857705156977342203343653010
 
coeff[170] = 62288355515894088802415700242671065600000
 
coeff[171] = -44374776572588816503782296116682793656400
 
coeff[172] = 23637727880877416235354245522256625664000
 
coeff[173] = 46749322156688096269201140297725725372380
 
coeff[174] = -307960137125046740454362001330917004288000
 
coeff[175] = -209664996769621524070584209685351962500000
 
coeff[176] = -225321639548335293295318322481463296
 
coeff[177] = 181080869737718931242004267531264697521600
 
coeff[178] = -572185031997336377054563491603551318246400
 
coeff[179] = 104233219767057822550544911884186972529080
 
coeff[180] = 500793222370344076867724216532747878400000
 
coeff[181] = 207762909808835396767334770633028101969324
 
coeff[182] = 184397985644717058667383333146927339520000
 
coeff[183] = 311193992187457479781212765688743936846240
 
coeff[184] = 386384090031214520295835193583734253158400
 
coeff[185] = 810384359805336741250017350630356188570000
 
coeff[186] = -1176218884065969723341617865568026011238400
 
coeff[187] = 20212398645703659188240732148182266997280
 
coeff[188] = -4365812380954034265143091233199085898956800
 
coeff[189] = -248806633355189268711754431876117396048000
 
coeff[190] = 646629524067376786608550403412309273600000
 
coeff[191] = -63517483904754733670967681976125665751936
 
coeff[192] = -3640895166441986015330391778313581363200
 
coeff[193] = -267251286131268420110302359162667934949500
 
coeff[194] = -1961342378063583139240982985935898878284800
 
coeff[195] = 152070850209920683348361480311283252400000
 
coeff[196] = -903348699229106516244356363444089176064000
 
coeff[197] = -255034267090827972833444866782055909482420
 
coeff[198] = 362571924965694104703620102448990913228800
 
coeff[199] = 3624095258996012770479419815087685961665200
 
coeff[200] = 4323201245643127432950473835054366720000000
 
coeff[201] = -1013673146593914857418053139771233188708800
 
coeff[202] = -3688595977166376868994008828470729528867840
 
coeff[203] = 2762754417658627612771773397559685549192000
 
coeff[204] = 1556748743746321303507440614216178597888000
 
coeff[205] = -5895084671358806878269435771937287052842000
 
coeff[206] = -27074779856377665691359721626352547215257600
 
coeff[207] = 2161780161975189292251117969917971159082400
 
coeff[208] = 13220160123772510801327966583594680320
 
coeff[209] = 209829487522694346109326622765940767327680
 
coeff[210] = 3995630757094254947253579046510725120000000
 
coeff[211] = 9782628970544607179115817803912815906919544
 
coeff[212] = 9285006450389946483074897005929525274214400
 
coeff[213] = -3483488135446173154011502812422504943423360
 
coeff[214] = 20374844054321568793380117768083758765824000
 
coeff[215] = -390182734130513019769578159068565759300000
 
coeff[216] = 5130284805848323550979968714672099976806400
 
coeff[217] = 10552027767045909356790423956935360819225600
 
coeff[218] = 10895225093007102355916997108701840586470400
 
coeff[219] = 12405861212469117013174522657427972991928800
 
coeff[220] = -2368038631877163051002491818756786094080000
 
coeff[221] = -1185909827024863794491733704275805016387600
 
coeff[222] = 45188450440689081748269468640213552610304000
 
coeff[223] = 7633350373112207921215176727261847796623680
 
coeff[224] = 812141730723309200696956362807041851392000
 
coeff[225] = 24187876597876292392286386420337682677812500
 
coeff[226] = -30489803183411302232329187771241160522675200
 
coeff[227] = 3690457413425483396410498083461810010273240
 
coeff[228] = 16160961241051013075003041531014614089728000
 
coeff[229] = -9459107646730616297026260721656143628885620
 
coeff[230] = -31501474153670579627298015752087046297600000
 
coeff[231] = 1296571101203915857226612450475356605056000
 
coeff[232] = -56966797147125878824507528349687171619225600
 
coeff[233] = -6518233529510248143084719131742966396228460
 
coeff[234] = -21272963014289948692464992158135163824896000
 
coeff[235] = 72065497161407314511763519499856484578160000
 
coeff[236] = 165443303589912828150610514067476959946342400
 
coeff[237] = -56289228420522232556255603528472149571859200
 
coeff[238] = -31159540263369616624706803332798960506880000
 
coeff[239] = -174289033715822749051787796341723196742769760
 
coeff[240] = 286461255092185409286603775326289920000
 
coeff[241] = 165411807125763090448015609164763861692881764
 
coeff[242] = 80181786435654911916274362806794070165798400
 
coeff[243] = -96109058242945876495002149591051405951101680
 
coeff[244] = 284320271928218113005192714496835662594703360
 
coeff[245] = 14911376724308569859776121774881348661175000
 
coeff[246] = -328720240330592116224425307435700243858022400
 
coeff[247] = -12311198468552240446067439894460531336805600
 
coeff[248] = -217578233321793268247658093100696437082030080
 
coeff[249] = -71778609196681806489655733479068703589265600
 
coeff[250] = -505240833680743578892369856791891830000000000
 
coeff[251] = 10040525828214215237077359707488429149078504
 
coeff[252] = -250520124457123626516969669979057528504320000
 
coeff[253] = -10222141012517956589217471334180638672938880
 
coeff[254] = 303874920790443657174200943527264130578841600
 
coeff[255] = -25696906413774746666894193876954099015600000
 
coeff[256] = -794702273191612959583151433418757326287929344
 
coeff[257] = 559093438914779356899053428598510513591568900
 
coeff[258] = -21757272250792936581428423479707104040960000
 
coeff[259] = -405392049268599864258274628076730789152536000
 
coeff[260] = 138938496788186427296307386918525917593600000
 
coeff[261] = -318723506327532099593460382833229856463666600
 
coeff[262] = 1727011705658999670460176905466073687097640960
 
coeff[263] = -1093446135900068391671153374335286886635158480
 
coeff[264] = -26734733437402322431914159822820323675340800
 
coeff[265] = -153265543181222257111145839386257707791030000
 
coeff[266] = -323474243681383291213653476980058762465280000
 
coeff[267] = 236053514285610033076896591205800532730546400
 
coeff[268] = -926135567913866843067430667218542714958643200
 
coeff[269] = -779319800265343124419069257884629979797575780
 
coeff[270] = -418266534212999978418766598260726194969600000
 
coeff[271] = 2126139242814193873497724221863293610241445984
 
coeff[272] = -2233940410057211386118562553671010222080
 
coeff[273] = -76072931140263664950942919251009628979520000
 
coeff[274] = 3148941507387066403974734766990752226574310400
 
coeff[275] = -114374204059197142165127842910231091447750000
 
coeff[276] = -787304142302655637960819741480144100917248000
 
coeff[277] = -1829398521407900555919736166452464004650368660
 
coeff[278] = -352612517348831355731421971930489655994214400
 
coeff[279] = -1217328354370552521920018553513370043950538880
 
coeff[280] = 739116071771916903809061764081431609344000000
 
coeff[281] = 873606030193110809794772171610387367679876724
 
coeff[282] = 4018498268826570270350668618288324866711552000
 
coeff[283] = 2284669073643510737359980059014097257668316840
 
coeff[284] = -3182665214604024362733507237243694057956311040
 
coeff[285] = -266765404652609482191486608657054786973600000
 
coeff[286] = 100590814695729744262354328051873628231475200
 
coeff[287] = 2948996271482976918931870773748774416276081600
 
coeff[288] = -93692243652409736361827995488062675720601600
 
coeff[289] = 459915277816275320929609895320793335078588970
 
coeff[290] = 4644440944249559518638123582380298147878400000
 
coeff[291] = 809146928298815826498744415393523563309384800
 
coeff[292] = 11334530620720371968156958201412332083196723200
 
coeff[293] = -1002663569785176779113280997156603069381798900
 
coeff[294] = 831484467778625424133116799067176993896960000
 
coeff[295] = -2730935936973843347791292855545108270363380000
 
coeff[296] = 8359008129037230633218405437307820541005004800
 
coeff[297] = -135726330542034580518793233084226787360652480
 
coeff[298] = -9056715286423079885245823592252817130127744000
 
coeff[299] = 599757490066904975092895181987279254452209600
 
coeff[300] = -8809043479062155086056432443182378598400000000
 
coeff[301] = 195187599889501557249973555869088760070640000
 
coeff[302] = -7849728887141083031936173540351055502496419840
 
coeff[303] = 1521721112050935881333512518019843846316247840
 
coeff[304] = -23191041281890556062649810921875549716480
 
coeff[305] = -4693211700750198847350199838086266829978782000
 
coeff[306] = 3594701673379862864432794950387275520301824000
 
coeff[307] = -13034670684793860775645487512403484297745757000
 
coeff[308] = 1184603357787523750565273778727822304477184000
 
coeff[309] = 11169633206408209152862144130245650526268457600
 
coeff[310] = 17738916457026131003862293536604865238917120000
 
coeff[311] = -7787112252426689018271832043149843510894843056
 
coeff[312] = 1568590826949914290819933403033342035623936000
 
coeff[313] = -11591518908086637517572515263901895018178223180
 
coeff[314] = -28418579090859205224972179872143713311001472000
 
coeff[315] = 4135280159243822311777838288165784403434000000
 
coeff[316] = -51428270252440640235449628335539256117218508800
 
coeff[317] = -9179771636920468169855409559744825026721371780
 
coeff[318] = -8546354971576223042776739450913331915170816000
 
coeff[319] = 1507108207851888290911504871899154206868509920
 
coeff[320] = 54909452705813111826321010591883077877760000
 
coeff[321] = -8405591326384543400443984021574386662658824000
 
coeff[322] = 15758506451439846453366115023697830883860480000
 
coeff[323] = 2080344224097429751991935494074937760191986400
 
coeff[324] = -17121109638428870338325155692489604465812111360
 
coeff[325] = 6710608420578525357646831202119729960101875000
 
coeff[326] = 93221109923671397261896192425093604205746636800
 
coeff[327] = -4494798060619421069573255650952123070816770400
 
coeff[328] = -60807023350114914886321087741932221041087610880
 
coeff[329] = -36050522474102399870129018922719154888226368000
 
coeff[330] = 2179653707572599653993423272200445607731200000
 
coeff[331] = -213447033740089463462053489746773284457099576
 
coeff[332] = -65580037525712900479332308106394881581344358400
 
coeff[333] = 46767810614775038125724853627854076040814407800
 
coeff[334] = 99804572277186339057844941278251236824284876800
 
coeff[335] = 15287514514306798830589828438223572018604340000
 
coeff[336] = -143301278995280307660278166568373846016000
 
coeff[337] = 84669849416835714006952735473040220442656890660
 
coeff[338] = -12761124904973360015728811665699323878435289600
 
coeff[339] = 12578492600894045156515493953857273137186575200
 
coeff[340] = -23477803565299288296039329924030433568358400000
 
coeff[341] = 5756229202113953778744764420519460992073094656
 
coeff[342] = 37317412106484291127020759742285562153286144000
 
coeff[343] = 15734483330483684163883463490515966369685750800
 
coeff[344] = -4024683604691468694415175444840069833162752000
 
coeff[345] = 12995854947820217450001283415436455254497600000
 
coeff[346] = -39314309960888421438547390944775426009156684800
 
coeff[347] = 230458399280174855021546789850838785135022883880
 
coeff[348] = 116076713624580223253407116598722411352031232000
 
coeff[349] = -185619024402281287631814735712109460539452952900
 
coeff[350] = 176319875683380916882398496976993586384000000000
 
coeff[351] = 7963388808880293360940283523754206086448021600
 
coeff[352] = 443030860972955243016065584511135113984081920
 
coeff[353] = 2598771740172754824454272724943092027018821060
 
coeff[354] = -152281768214632112417275908823092360027764736000
 
coeff[355] = 52535549165911569735699542634772251946222248000
 
coeff[356] = 215668685952225759123413164234360053998950809600
 
coeff[357] = 12854790970356248547522610507985881433666880000
 
coeff[358] = -87655968495304946452106249098125876418055116800
 
coeff[359] = 117608353485511419149405458741378983255079643760
 
coeff[360] = -85267682307362166352383284296993998058291200000
 
coeff[361] = -272575254370270459145409559461125948964013555478
 
coeff[362] = -174720296632838215265457848711551312632122711040
 
coeff[363] = -33078796912539139904856456530350308284910848400
 
coeff[364] = -69503515527855765825030983229181531224801280000
 
coeff[365] = -187096584323422460109508389730578053985894090000
 
coeff[366] = -261701699669964242196808687433606101130213990400
 
coeff[367] = -367777575361137277090843735111125772482655971680
 
coeff[368] = 1129784459798438668476770231597152264519680
 
coeff[369] = -340209186088436176531391866463799696788893882680
 
coeff[370] = -681500831221895985921614591186104340339827200000
 
coeff[371] = 76670572279338802489674696643650544410821544000
 
coeff[372] = 443341868334441084839634112780669586324953497600
 
coeff[373] = -322660653230457762543907839235182295913572766420
 
coeff[374] = -16997818765090949230942926107335359254032588800
 
coeff[375] = 208435851484290699981996852336802597337812500000
 
coeff[376] = 743346128669135952922792373678371808322414182400
 
coeff[377] = -88425647317286215846059964580337845387913836400
 
coeff[378] = 209236426386379967415837007030539685380526080000
 
coeff[379] = -79805169831994879651985700137963052252556349720
 
coeff[380] = -243728395457526566232609855662578505082470400000
 
coeff[381] = -125362844088133239425944505773802757938470041600
 
coeff[382] = 53415663264542540827936981834642639870748098560
 
coeff[383] = 12745650135391529798274593543759038771196893440
 
coeff[384] = 314748073983677011906266514463009015867218329600
 
coeff[385] = -19553985024747031042178893698890790998020800000
 
coeff[386] = 224747641584951490575959871961437226575131520000
 
coeff[387] = -22517700390163406287481344488318719968914222000
 
coeff[388] = 739271581262467728494425929150667736110707507200
 
coeff[389] = 1293552421949295265163351505836527141014458632140
 
coeff[390] = -127885502192534897868638070482576763938304000000
 
coeff[391] = -101346918702268580340475041967546596846220862400
 
coeff[392] = 153808890491880701162231106430948342813949952000
 
coeff[393] = -712474391212474414134780627458739443093559360960
 
coeff[394] = 214473617252702692034013795169037737638335923200
 
coeff[395] = 848915056465036443213807074292646019681740560000
 
coeff[396] = -136661055860832545660012690727467534442902323200
 
coeff[397] = -1679687580771102854867693108890062219800095794020
 
coeff[398] = -3047719149005286899462372887696140386321966592000
 
coeff[399] = 133448496084088002122774488850141014569425280000
 
coeff[400] = 12641011133544020359235118908250783744000000
 
coeff[401] = 2858201743929466986375501968188691120029233629604
 
coeff[402] = 852458569359618638494285968422016262376552448000
 
coeff[403] = -337731750548341740888512436947895935901099211520
 
coeff[404] = 1390310132069029537242820205129673529803909365760
 
coeff[405] = 282614361402932157996286723745669107264301194500
 
coeff[406] = -2323365955074199477236550556411793159448504320000
 
coeff[407] = -221145129999787329550185045971760145176250419360
 
coeff[408] = -265060211250189405861613422498607386102595584000
 
coeff[409] = 348729101349455034615416081981576296433036467060
 
coeff[410] = 4957530405225902232349464706768380919958008320000
 
coeff[411] = -1299088000438997068168191616879890761568559610400
 
coeff[412] = 10205059320912024932225782102885888995702367846400
 
coeff[413] = 1366141513610933699520667357682354129511595824000
 
coeff[414] = -1817970645014655187211500167982217025941935104000
 
coeff[415] = 1082515141688588014231952788321108854973832580000
 
coeff[416] = -25993681448331791469934733891253801788532326400
 
coeff[417] = 145469418538852574770241609585232926741370014400
 
coeff[418] = -176458205827085037304099316681245547691885772800
 
coeff[419] = -1090398123154252531022990634807666434017821587880
 
coeff[420] = -1506038058920818526253061603087336333639680000000
 
coeff[421] = -3448330682698607303666718047640046602108149212916
 
coeff[422] = -8226799659069192853349238140378521665083059722240
 
coeff[423] = 4158946902570898011497278450766248669092155246400
 
coeff[424] = -1580913927880949476339272603333595892704031539200
 
coeff[425] = -1133957469988850617666927433352699977631091875000
 
coeff[426] = 2929474182384813775597513405134829757221308825600
 
coeff[427] = 2347763361913249708379655100513679257380031393600
 
coeff[428] = -7679711278601759213143581403354892320037339136000
 
coeff[429] = -41498490848132023789733626644348966668057875200
 
coeff[430] = 328128072094396229105424448650301060940928000000
 
coeff[431] = 5036121842030593464215094552734870331960809377824
 
coeff[432] = 15000917992040613186920540584420608080609280
 
coeff[433] = 7234292070823611620133890216498300909312543744740
 
coeff[434] = -8873833270974927932686474930824361034535960576000
 
coeff[435] = -1916052579975893515953024278980864515577928400000
 
coeff[436] = -4106641641358938922182042131541675274533083545600
 
coeff[437] = -1052105313479030671449094027587811213401136694400
 
coeff[438] = -10432833045238028643399246573990628167292443648000
 
coeff[439] = 738529111605902162612444304773541252611537231440
 
coeff[440] = 403194685420765783496971924921900881873469440000
 
coeff[441] = 860545288430226270550625024216358595449019984500
 
coeff[442] = 997302728134829456615768375947780986581316096000
 
coeff[443] = -2257815213371794341783826716082311901264623279000
 
coeff[444] = -17032486314332772340621735124025549924990713856000
 
coeff[445] = -3559995189692098865812889253798903996497887770000
 
coeff[446] = -6419342329772442373425115020558123523048649932800
 
coeff[447] = 3736325404706366754833106977702720312197148244000
 
coeff[448] = -27468268960637278224020278971189003391336448000
 
coeff[449] = 13156299820810809466350508583994241855754719373700
 
coeff[450] = -20341036703750046850217159524047177624733200000000
 
coeff[451] = 1608704869773835030266594263179177645726053837216
 
coeff[452] = 11492254113244465961811654017877343281828809932800
 
coeff[453] = 3238386162481001827821165127887523993735585299840
 
coeff[454] = -3103527066394294517045372468268043746239383910400
 
coeff[455] = 1147279123315412675532359508435243951267036000000
 
coeff[456] = -2751650076974232447625892968265077028189896704000
 
coeff[457] = 6670680987546252887830377479657164176483836713300
 
coeff[458] = 7954731166594579081147204216483950546147650995200
 
coeff[459] = -1345652087009560642941987084756048470105529890400
 
coeff[460] = 11873574379540504471033403800163601828898406400000
 
coeff[461] = -8923632858941625315095184613338776729316895561956
 
coeff[462] = -1090364433268445079293292006351755890587893760000
 
coeff[463] = -696067706851539160752742331382008462070343189280
 
coeff[464] = -166570528657412961612157578783635310504837120
 
coeff[465] = -7318145940803557249941410430845467159358757120000
 
coeff[466] = 5481573668976938278408525401030565020572285721600
 
coeff[467] = 48783493386294650412247653778029736614224822438520
 
coeff[468] = 8018231381528991732516330280642576532155858944000
 
coeff[469] = -7647527697433585686322965175034584526781699632000
 
coeff[470] = -60604200492857095211812649358599309270849433600000
 
coeff[471] = 11724014244105742948015053269162452953192867972000
 
coeff[472] = -28169245149953017030325492307297372876049691443200
 
coeff[473] = 106476649529233078935776455890487927874770766400
 
coeff[474] = 47336989532522376690508712343303938903950712832000
 
coeff[475] = -11771869285334303534408586168031183044736926250000
 
coeff[476] = 11744692237086829631289865424979547514740408320000
 
coeff[477] = -8845054584952546949782443382044819534194976976200
 
coeff[478] = 146570105793658299042591465211535539532799657369600
 
coeff[479] = -52376572802707441817786512485427720744345040253120
 
coeff[480] = -563244510084703482848030871583091157526118400000
 
coeff[481] = 12975114307929223542561204779254221063631664741200
 
coeff[482] = -139104713320481728543163206683199817129245848253440
 
coeff[483] = -6501132710112819291703729484419032662207220480000
 
coeff[484] = -30222217553499713035964367760164443285505661337600
 
coeff[485] = -12202992110562798009222746019632987556831109890000
 
coeff[486] = 80823873619987764297237007720090590348638468812800
 
coeff[487] = 884502023850550023970426880973342613132327918960
 
coeff[488] = -48409861670192129861895641451033424697110277652480
 
coeff[489] = -38458137442487708016549332833124735617604579236800
 
coeff[490] = -12539871370074534909277327367804218970101728000000
 
coeff[491] = -37978790125817668114350835447222448242534457039736
 
coeff[492] = 123901637256265512743246321940533858967929330073600
 
coeff[493] = 14942150849772256577639023209299870340793645311600
 
coeff[494] = 10353225464113692125524874253645528433000037376000
 
coeff[495] = 2255833754143509841731633313592870050598082840000
 
coeff[496] = -636197279182748602554514857843178722469871616
 
coeff[497] = -26280731702344386876088926373838403520915358150400
 
coeff[498] = 60362939190041531985540885626557616970428798976000
 
coeff[499] = -4203062739409816448391998976406504126239608333000
 
coeff[500] = 190435996392579985495551536581580215365120000000000
 
coeff[501] = -41174128490504933219081680738101360313000172476800
 
coeff[502] = -8443680600495026445772576419609469377209058723840
 
coeff[503] = -74213760614913224368709462739792914274629395925040
 
coeff[504] = 42654871171586801749071830333033799682369781760000
 
coeff[505] = -22949541146841914457497303919090815749192138662000
 
coeff[506] = 8596411705887100773268324693192549898394680524800
 
coeff[507] = 5264570395246909997482032884915565545466931239600
 
coeff[508] = -114536908859609515923401184557222377877712299622400
 
coeff[509] = -94930208442699841613845682445466671917610518894340
 
coeff[510] = 21610070417728010956991341282763319108158976000000
 
coeff[511] = 93594436778428232515531942827830277714785785432000
 
coeff[512] = 309631982975579252917017899038758060817871976529920
 
coeff[513] = -13969519043751792729574896012124014411764665262400
 
coeff[514] = -470175218389772847977827971314203401509965782144000
 
coeff[515] = -168452651958091975408400433043582676045445130680000
 
coeff[516] = 8200777814570972043932211110339803791100477440000
 
coeff[517] = -19665895010716831403284410155149247646821677735680
 
coeff[518] = 340918497752921741846638631227407524445716674560000
 
coeff[519] = 16219020961779855099727716042286160348763012784800
 
coeff[520] = -23656397641173610483773751877478996975078604800000
 
coeff[521] = 126029534595313446469491709228617596637885212054484
 
coeff[522] = 268033719881201394474116443547432980091685063936000
 
coeff[523] = 313930583083149945729047210822295717713472089329480
 
coeff[524] = -650947376032238515716385239669367800971191650877440
 
coeff[525] = -72740326932665542290091240548028881047821500000000
 
coeff[526] = 919544462446521514659773141681002860184702875340800
 
coeff[527] = 57069853787368933561952909483894238721271907674880
 
coeff[528] = -78172179325475671381292825715696050802524160
 
coeff[529] = 138386943648453047291565346435418527289822121102290
 
coeff[530] = 128890191193680669340189205090267281943944588800000
 
coeff[531] = -157604096323077671950468333237375215402648751945200
 
coeff[532] = 121924309747548169055299432366777934269691985920000
 
coeff[533] = -94386566744915334229167516195327880068238132896720
 
coeff[534] = -198511563373626613416346957340430016005080300544000
 
coeff[535] = 126767291641507158983535525898522243359197000700000
 
coeff[536] = 157688702344355928509009761077323489929275742617600
 
coeff[537] = 36162252163775182042082947527655816133869997716800
 
coeff[538] = 655376779231142953911460483110658427810569327948800
 
coeff[539] = -4069153487815505608784179176056734499148514556400
 
coeff[540] = 157653536473371629345027019707165633795712614400000
 
coeff[541] = -846417121476315261672039135945854951813046352196036
 
coeff[542] = -1787998057637024479856646161618155394468646414704640
 
coeff[543] = 72080424566921724859456185290949412263705312491040
 
coeff[544] = 4392407871759759325692059060715986168999156121600
 
coeff[545] = 67787423215744823949590654691128809867093145970000
 
coeff[546] = 63974292171716131677144957373329057586617139200000
 
coeff[547] = 179035567841599802665704541597417609048767240360280
 
coeff[548] = -1186902905635167115789283986647657721215730129305600
 
coeff[549] = -270848312087927973429624190862251900894943086250280
 
coeff[550] = 96184130645622428675185910773787938663899840000000
 
coeff[551] = 155117851683622101389127677519493222327540165549600
 
coeff[552] = 134050535203705839564775066887758683504392536064000
 
coeff[553] = -424666900627249682196220073602491869410770173888000
 
coeff[554] = 1538450980563188051506261326539864129350774028313600
 
coeff[555] = 281151475838049915448846369557599229423473977200000
 
coeff[556] = 132907143693480750303559154118112185240295217561600
 
coeff[557] = 336270132565793623424075329900366532220446392225500
 
coeff[558] = 1023724452891459848833858802762603672160645176524800
 
coeff[559] = -6247239985653069321719659984952152215522420788000
 
coeff[560] = 2161170383096569183198770886966497823948800000
 
coeff[561] = 7012407928049898875985119118932477055677654188800
 
coeff[562] = -734667727151198466605011605437471360724069129815040
 
coeff[563] = -53231544021380199976397997303703098799621602532680
 
coeff[564] = -1514657309566173593650312894357508737477040406528000
 
coeff[565] = -189700091050456503854661199823633594231336630610000
 
coeff[566] = -1921315304171246789690248830428495229808747729766400
 
coeff[567] = -141376883370987374530877656379635808949739382223600
 
coeff[568] = 541897282724925002058012319276786194694445696286720
 
coeff[569] = 247855161239134778687448814812627966867672046276020
 
coeff[570] = 224339034696658470143752578416236793653318656000000
 
coeff[571] = 5695029846320377697851385204354500168481761038184
 
coeff[572] = -37914813584974842040902915981210329587545853132800
 
coeff[573] = -22036499255280632090681496875361854928287038018560
 
coeff[574] = -2479987904466324269744946045891769333111533582336000
 
coeff[575] = 573483304164298656835138112384393499123017632500000
 
coeff[576] = 3168860373518653638520249712099279014461859430400
 
coeff[577] = 66980903961524111269460383744487762337101068215940
 
coeff[578] = -386770352032374893888964737568974363067690180211200
 
coeff[579] = -92719081515186295348651054866364996172922334020000
 
coeff[580] = -1750588392591297327865676760767973094003202457600000
 
coeff[581] = -541524557259274315376281545968434247959852191984000
 
coeff[582] = -680460200822172157452384103569337575800660241408000
 
coeff[583] = 41824509643104550905295226782278891471947795641440
 
coeff[584] = -1929876669448882398130688499189153915936584604057600
 
coeff[585] = -132355167937567953425890099840963720686866820300000
 
coeff[586] = 843199955646542264163104787368816917227317602944000
 
coeff[587] = -1780958828863948898791829210650979847840577527126840
 
coeff[588] = -313404148181801329155491369533583984623372861440000
 
coeff[589] = 592455075872160736280987687879204382396453891873280
 
coeff[590] = 2296607885557523301758565639799214251044788044800000
 
coeff[591] = -88480558286052809949825114964104677729956485823200
 
coeff[592] = 24441683100233629466853186743520297751632936960
 
coeff[593] = -2603517183792953626728796423951604086706944940603100
 
coeff[594] = 114140414932629400833084357294511359098814309580800
 
coeff[595] = -193867031200371384865112604475377621115619484000000
 
coeff[596] = 3413668264002044545611006937410900691555696214016000
 
coeff[597] = 1257328967811230326698537173790468813288839360592000
 
coeff[598] = -504372058846664407854121132244022361824130185216000
 
coeff[599] = -305520766836151676559795767188491294933493724156400
 
coeff[600] = 1499873974430394233353008272419468370195251200000000
 
coeff[601] = 781141071152686473507945733498276399016117800604404
 
coeff[602] = -164144964003075229584937761543668883669005414400000
 
coeff[603] = 882252445922657125269827372456241130479969468303600
 
coeff[604] = 2958729465993486133589300041374356679655206299893760
 
coeff[605] = 498871445510268911344412459375884831950107086995000
 
coeff[606] = -1279706586390355038766230687153967880998111783526400
 
coeff[607] = 2445638663958212480034776080096222207329275815297600
 
coeff[608] = 45598580795748647603456721226764980863463168409600
 
coeff[609] = 958498856134636923119483464584831163307053744320000
 
coeff[610] = 3946803311862887222667624055837026953338956510720000
 
coeff[611] = 1153845150160129137200800266940675491487792078665600
 
coeff[612] = -1354919375611543528714664265543685607405345243136000
 
coeff[613] = 365069572451456821029003100393286737339054568468620
 
coeff[614] = 10961636659084245157886829178430834155032271806720000
 
coeff[615] = -2045216859739152168767009838195403743473309998320000
 
coeff[616] = -201696784740756422411252708705380661433427034112000
 
coeff[617] = 4744987063843265040759946301141998615248108098300820
 
coeff[618] = -9393214741261047569190948727771382266570722103296000
 
coeff[619] = -5709939240758780134780869660246901235976338407362680
 
coeff[620] = -6686174206879545427525016350643860108335309127680000
 
coeff[621] = 680544928304422919112041935534202499420514735478400
 
coeff[622] = 6548649919800748396805879875007292398922127216373760
 
coeff[623] = 1780875615223261359241449183064906848445761852696000
 
coeff[624] = 4586548943894734856469087361527340667712307200
 
coeff[625] = 2164041835329718154167323943672526833080334716796875
 
coeff[626] = 9748003740944538686777782436330937634487158565452800
 
coeff[627] = 72797394689993984754011496822859515415965295372800
 
coeff[628] = 10711565781020876008187719178232360768397827473408000
 
coeff[629] = -2192532609758076607447180842612519751449696166942800
 
coeff[630] = -3477605202717684811312690886815898051911856640000000
 
coeff[631] = -3364528899095394549763146152508849611102013232387376
 
coeff[632] = 8756447199397947197689322930698387222162559100518400
 
coeff[633] = 3393945773219705014509438200985584542970402640402240
 
coeff[634] = 7719820755784636912121605223363008054471604812108800
 
coeff[635] = 1890635364063635492794474070779851697745166986880000
 
coeff[636] = 3221302626472228457454213144653285543353836109824000
 
coeff[637] = 238746978696595510140779137508628213267007711963000
 
coeff[638] = -1267417718475123977124939137072312721808142102323200
 
coeff[639] = 3031860849985736305134072380859017481739070372125920
 
coeff[640] = -4746811894488492595549474361079872673325284065280000
 
coeff[641] = 1417242465235812087874914630221261276187075335471364
 
coeff[642] = 7068766081836345618037372802783196207829564631040000
 
coeff[643] = 4221307522664761382367177281897396885169490394786200
 
coeff[644] = -5939715632001231679230053365175016169937011998720000
 
coeff[645] = -135368421440994299806257577411485567525874428000000
 
coeff[646] = -1749486278696974524235138073097259658811052882944000
 
coeff[647] = 1389179541308601842223456336843499994589114545970480
 
coeff[648] = 2915129982169503328972209995067900643359358168596480
 
coeff[649] = 745242890605937920641036715586569996130298956754240
 
coeff[650] = -5643353257369716684766679167734608107247272800000000
 
coeff[651] = 3660877883306728926771068254306368063764419992576000
 
coeff[652] = -35137015398787632989727105561382992827872637629235200
 
coeff[653] = -165691769475868626098084597674325369553657730423140
 
coeff[654] = 3779945377058508342668325072224697417634071235584000
 
coeff[655] = 10745044034490938046703374689362982086765473229428000
 
coeff[656] = -177799324040518088753412220908492415266535243776
 
coeff[657] = -10797466062167068296657143907928503981304096766268600
 
coeff[658] = 30317047379821154194783699753249900494802846433280000
 
coeff[659] = 7935430371868671480872457661224678447023592543181560
 
coeff[660] = -821557756067390165176078461532531590064295116800000
 
coeff[661] = 8894095452091030617985542453317292620621653348212844
 
coeff[662] = 179500417494065635193048502737446461297042459432960
 
coeff[663] = -411434764312305064411232344757282518133247738096000
 
coeff[664] = 11166001366751953276774905247803325952804405850931200
 
coeff[665] = -2012577552885680991575635346332932283862260104000000
 
coeff[666] = -39329858014601216062209572906880163787283284383488000
 
coeff[667] = -7556786094220121114330209517675598953730396038913600
 
coeff[668] = -37618462125630925703926383666465355463869355340595200
 
coeff[669] = 2648283739712042042866391704442247336695521179532800
 
coeff[670] = -12856188205951445544572822123408495124765505766400000
 
coeff[671] = 1280726730619821134171814861304663597069084410138336
 
coeff[672] = 281761171004552771920631224808569359472860856320000
 
coeff[673] = -17697387529487643283462436772314534534085230738226620
 
coeff[674] = -71203956565582162051286972423407903783456738769433600
 
coeff[675] = 7614528542114946192371788416055876491109429751250000
 
coeff[676] = 4809938893229626160743256674587635556645969045094400
 
coeff[677] = 30452118993804319223928951954851607428370852782224140
 
coeff[678] = -10578009137647856214823269795435812417448422280192000
 
coeff[679] = 6104505743543634323927578485242027860269010577272000
 
coeff[680] = 3997454051405194704872222973790607093678682931200000
 
coeff[681] = 1280352385565886970597736706663983179251756381710400
 
coeff[682] = -4840758509809750569773197087080045915893789681909760
 
coeff[683] = -30161466767718939050406186475363432102470557933312760
 
coeff[684] = -14065724865344981445854245633864209804829124591616000
 
coeff[685] = 19591943151305518166841543255692035086701705620470000
 
coeff[686] = -13232071101603559034459437456984307078250928992768000
 
coeff[687] = -3281704592161827226400450908678066979785316304895200
 
coeff[688] = -11768147575172276782607251524994247174809190400
 
coeff[689] = -2453944129327611793966982901108246968516262631594800
 
coeff[690] = -10928994176918890066753079301045441410822301696000000
 
coeff[691] = -38999485389650722748821201910568567015164335393124936
 
coeff[692] = 14818398060477011141713968053492095091225546765107200
 
coeff[693] = -1128473245240306234777383536532917279160676566432000
 
coeff[694] = -193806295458655846078919988392961384747148844427724800
 
coeff[695] = -2193868758162315968566408000112220510356643096420000
 
coeff[696] = -19763830456363378010824190875225934585400787992576000
 
coeff[697] = 15949426001192724707570460999806427490107394507753680
 
coeff[698] = 156098174761342471646850920144455571935258355270784000
 
coeff[699] = -2261409607064826269359314393301612519923261149421600
 
coeff[700] = -66458704386506194204678696241581447558270976000000000
 
coeff[701] = -40624891939967321528907667172011018469627869398968196
 
coeff[702] = -6696891452715971504816340832136337150459328244736000
 
coeff[703] = -22761177530016833671253803529400759691647026961096800
 
coeff[704] = -14984195968146630037921799608481075199046299156480
 
coeff[705] = 25002112440570121611160607930661429339349134633600000
 
coeff[706] = -2185463082615679897173065190768142671041747758617600
 
coeff[707] = 11480430739713578970706074628716442086454414380417600
 
coeff[708] = 57398231356537853350747083284093623876865849032704000
 
coeff[709] = -56856096442287109119788176503051232034090388493065140
 
coeff[710] = -44180295426564993684933887374138072996695061678080000
 
coeff[711] = 48991442280950135844632047623970987442175932928542400
 
coeff[712] = -36720882344172953834967576156387334766724050111692800
 
coeff[713] = -28862289093148746138790253227706329946339810531988480
 
coeff[714] = -10810365014430790778524614532795806850456499404800000
 
coeff[715] = 625851422911171520108535650902120828777657689360000
 
coeff[716] = 33039395447415552298610282085635272441027803099955200
 
coeff[717] = -60467133229671332632121088840100225316221699744569600
 
coeff[718] = -98903920947175683047884014583150069758191777216409600
 
coeff[719] = 9764210923407953138285658715643312308794513533149920
 
coeff[720] = -249322125002883998210129660910212726642442240000
 
coeff[721] = 84267872344457617777394677222464903391509989464864000
 
coeff[722] = 229224885915222645322923623124428478040776839614778880
 
coeff[723] = 57387304100511458517149125460562148529727159959833440
 
coeff[724] = 65855789083561220787777124984671100260283872998850560
 
coeff[725] = -84551895118020632012674200648607411822966930333125000
 
coeff[726] = 27817945051568915094388085683763395255278627070464000
 
coeff[727] = -59948456270542405842738535576803309332709214922923760
 
coeff[728] = 11834033322622234966061599992542699566945838039040000
 
coeff[729] = 35840928367233958634089648296735381524365227978747060
 
coeff[730] = 157340743552625352053692175427826920279977493926400000
 
coeff[731] = 1055657550635865183835468843372965878495454336372000
 
coeff[732] = 98640926488877402124845019388965597564529501116825600
 
coeff[733] = 86705600979762545240269475714809395362804597913988540
 
coeff[734] = 309286229775702004542315947479052329627014365944012800
 
coeff[735] = 5173292798769649020528494193045364583859463353000000
 
coeff[736] = -2221399520000365638499562160792429074171091851673600
 
coeff[737] = -4171797423943507949827599673058020672409646913024320
 
coeff[738] = 286102317132931287015839304021396993011588199578572800
 
coeff[739] = -101944634031348580562020592193446815898762689737694760
 
coeff[740] = 256872131436077320085046242127811163900472134860800000
 
coeff[741] = -4271197459437701349307235484526963121444734169376000
 
coeff[742] = -64476884464032759341716832889444361827724485642240000
 
coeff[743] = -10450835913190722221709167966608064844152967358381200
 
coeff[744] = -75485713252600336441038778281659495067633704553676800
 
coeff[745] = -56348665293689743679947342507033152120745360012950000
 
coeff[746] = 271344702940685759988924736483218903571478153648563200
 
coeff[747] = 62472655748538115508460292176914827787817150050113200
 
coeff[748] = 6406838753409255916679486554471660546057782637363200
 
coeff[749] = -63414911106040337704745976989459569202097724377360000
 
coeff[750] = -175286213664229107056860072941157512257206800000000000
 
coeff[751] = 53852415478017931475510029882245777853242496882585504
 
coeff[752] = 2173539040786784122658477081510247615418576404480
 
coeff[753] = 3483419467116293848922061384382817355727533900603840
 
coeff[754] = 74362432367945016077902587813480914457420019858944000
 
coeff[755] = -48839091405556825090407887864620107441732345853512000
 
coeff[756] = -78865651159326818589326557134854641769283578757120000
 
coeff[757] = -10895692262281758724658825817801644081632275423622100
 
coeff[758] = 67112955621914413992133894388021408422309787860531200
 
coeff[759] = -3546428305433289286518489066096440691409176354124800
 
coeff[760] = 41498475747714478238854626829554662921844503347200000
 
coeff[761] = 238797077147834488554907811280688800363021794552360244
 
coeff[762] = 105425137364356529027642291575537167315935766183936000
 
coeff[763] = -33910430377345597833483114098189987216713964016056000
 
coeff[764] = -20133497489993928142401759054728910808290920591523840
 
coeff[765] = 22365353775402539693560831641060403286021238050700000
 
coeff[766] = -10718581937858860899157002186559601245025739507302400
 
coeff[767] = -43725184872002097929426340257755709335084151745520800
 
coeff[768] = -275710796063914506081421842378512655002736003372810240
 
coeff[769] = 83866146020804439049293616618297545603824725747017220
 
coeff[770] = 16444119246411263225230762445019199597695571968000000
 
coeff[771] = 193969618959600334373955724342115699602984004227644000
 
coeff[772] = -84712157468170084230941609818816859838383614689280000
 
coeff[773] = 84471092544936412635213833928284723948336583838987980
 
coeff[774] = 18936485320111818151520311460896510745058104133120000
 
coeff[775] = -322936392514330508775751630719209075605117545034000000
 
coeff[776] = -125872259276171525107463440030671210273343956162969600
 
coeff[777] = -140645079789368991762314196035443549996192663594560000
 
coeff[778] = -1087825844762479346191772082348285864507519131284454400
 
coeff[779] = 165574603132160691519994538971415982274770754584586080
 
coeff[780] = 48202760764166374813014607735670231005216505856000000
 
coeff[781] = -14336383358504722379006057064985542404378349253183104
 
coeff[782] = 85228704751859785323125891293027986083797896443904000
 
coeff[783] = -100336597392225509429847733896782717969267428612605600
 
coeff[784] = 449736153066054943674537216944220515808470630400
 
coeff[785] = -176813441813022112005783711264856338935158117108350000
 
coeff[786] = 599162464034042483310785116467701522063959680192921600
 
coeff[787] = -785900693249745116791273018438120371770673370957650440
 
coeff[788] = -80839659581529094699383102937132724744145399270604800
 
coeff[789] = -379355784866780691530087600232252117890179877010940800
 
coeff[790] = -713903605884837047285083197197143596711556541337600000
 
coeff[791] = 94896832258531580991331928047650245230701294787128000
 
coeff[792] = 23268628596400502334406846753268792997687787624857600
 
coeff[793] = -75143303978833440129162337634994336639879443138987120
 
coeff[794] = 1412550067925266656829535196852186724363088558939059200
 
coeff[795] = -53173328358498797744222208487477128659880472438800000
 
coeff[796] = 1148750049827353402181605329465578790700804640473088000
 
coeff[797] = 346699798912795313309723252977440824930768481322014780
 
coeff[798] = -112224847266874646265168434143414587612303883468800000
 
coeff[799] = -194976557300252454309698660351080962345281925570326400
 
coeff[800] = -24854949827672228335861180930060910909592698880000000
 
coeff[801] = -205449647203240342103254419563190298278491765376775800
 
coeff[802] = -2403633338574924556862342135167961684299784313151779840
 
coeff[803] = 51056634993126327141432631028510638705957853078332320
 
coeff[804] = -321309732344342590511768403264905646615183238889472000
 
coeff[805] = 98045569224395433620348848065245157615005080464000000
 
coeff[806] = 284018892941133470417603418975702566255388392919859200
 
coeff[807] = -270374063052065071599729235290691671285852558907048800
 
coeff[808] = -236721499721696196270520146548605661102115022102855680
 
coeff[809] = -1094777552862364764493126600175384833346794395978210540
 
coeff[810] = -237667373365409827588557283201157892444986732526720000
 
coeff[811] = 264564830441285482428859800623822933107099687842983944
 
coeff[812] = 875725953137696186219022868801651769788512644628480000
 
coeff[813] = 737634159299415453128051510727394757430981894247184640
 
coeff[814] = 185974208524621152658523616260411411687419552664985600
 
coeff[815] = 579998924032625611149561939466387240248902486014740000
 
coeff[816] = -775034260745992287165974173377903455567137996800
 
coeff[817] = 10959020091188931391129513968730292989628203263832000
 
coeff[818] = -293267225070837705910180308303226402248326347338777600
 
coeff[819] = 66210227421453513108776745779758649808735661183440000
 
coeff[820] = -1868598457270117575549586018656390904770334027284480000
 
coeff[821] = -694236089970654017608373346591675657360112866628223316
 
coeff[822] = 1092481044849178974446722422131312934848695889961984000
 
coeff[823] = 381553805008711052414074501055810518902252815033235280
 
coeff[824] = -1737566958244123362716801231792184775696155384427315200
 
coeff[825] = -39680524284513457346315106702790217533272936090000000
 
coeff[826] = -1148870367286250803948900421116552528754071624151040000
 
coeff[827] = -444829435409142487908641790651171963524238639106513560
 
coeff[828] = 685231731318438554383532261112106449380525748781056000
 
coeff[829] = 2080609730004403723586761462409827774888383836894489980
 
coeff[830] = -910351933554434976448503016866519702678794246476800000
 
coeff[831] = -634684132247230530952547349854905393818820115411013600
 
coeff[832] = 879158657028991298184484977134276073873716386201600
 
coeff[833] = -40343423868999015028764354338720854987231614439947000
 
coeff[834] = -122333962214433461278782383996797482072422527309824000
 
coeff[835] = 620959615066817712661371009180002112513765850959240000
 
coeff[836] = 66510843954394067732061634553461401282604786463539200
 
coeff[837] = -383224276094340839835162132653059463169202005912814080
 
coeff[838] = 916981205647800208489094204247855164351627242543564800
 
coeff[839] = 794373884628008486292192242928704313260247475384977840
 
coeff[840] = 256425943911618892063224499820884993562105610240000000
 
coeff[841] = 452842567696898252131751427818075739310129446333119282
 
coeff[842] = 2899908170922220798091563209343373590508869162093839360
 
coeff[843] = 303085346746835884182526686338934487377891003922595040
 
coeff[844] = 3100855445082546666338923768614877904793830442975887360
 
coeff[845] = -79396595045807990473161757318064469018334762018905000
 
coeff[846] = -3497507987186022391748751285956384480759738876012544000
 
coeff[847] = -249558762049129981885871204029310149324777144223476000
 
coeff[848] = -4622581607473834299648047065495572882311180451840
 
coeff[849] = 792633858346822095436292547354912485622524864469566400
 
coeff[850] = 953612873961823815433179294352286573188643023200000000
 
coeff[851] = 1108843037600340946956312261870388495431528080613508800
 
coeff[852] = -1104181011587253212148337557520088751943368408720998400
 
coeff[853] = 360886834243802181174849708947408775243507497880238060
 
coeff[854] = -1974375076834566474758954753327983708286311200761856000
 
coeff[855] = 232179802269731883093075776669267413122529805164200000
 
coeff[856] = 1307587947010639560173095091255403961237144388763648000
 
coeff[857] = -147310889855119834574086892045458202371953953179269900
 
coeff[858] = 34898570863645106726214390662831707009169950728192000
 
coeff[859] = 89368832236809785565865416378424748312340025277214760
 
coeff[860] = -123678436476410773816202149673786710963305480192000000
 
coeff[861] = 1023112852483367221027470761486473850934181994934336000
 
coeff[862] = -4235177024274047879666325915067916554365762254374871040
 
coeff[863] = -2333780259369874453904462038337504435007101291746514880
 
coeff[864] = -29495034860922874941092143102108527575944444615065600
 
coeff[865] = -244604011849576800323726011462228775005496089917390000
 
coeff[866] = -6083750259879824428067796316466411132695476787576550400
 
coeff[867] = 159561148427856182091022301458618943667091939752361200
 
coeff[868] = 3344736149825067625949479297854391381964867936190464000
 
coeff[869] = -231659740528349937003677986697885461562310885387290880
 
coeff[870] = 1611323577656527411175855297651747823020414667264000000
 
coeff[871] = 244769344209586446453669522279464159146289085113034400
 
coeff[872] = 699218358363937572896650745457936846499692183080140800
 
coeff[873] = -704242643697473428973536070864927685863879541648000600
 
coeff[874] = 884778484423325633461830113440245718021819914522624000
 
coeff[875] = 1572517682568977589351710497109260093704218465625000000
 
coeff[876] = 3932356262049018140329623724286860787122655032246272000
 
coeff[877] = 45365619315356974884365276786671362025604628208456540
 
coeff[878] = -621073441696099482670561162542357251796198350151782400
 
coeff[879] = -347860048140447299631374091498283356214921007898444000
 
coeff[880] = 1178938526751713004713187444372725442898034688000
 
coeff[881] = 6921921598802920445308726020098848144679154512431361124
 
coeff[882] = -723684165758283084482253620364988924428807846165120000
 
coeff[883] = 6314712712082575161074583362460903180280713694684880440
 
coeff[884] = -375904570803959420982746231392903919670809811615744000
 
coeff[885] = -947459880992519836755586066479683461082458789144800000
 
coeff[886] = 1898732281837144169666526915156581016487497592707840000
 
coeff[887] = -2062615119839681438263706452588931073473471229237096240
 
coeff[888] = 2900040509895335485477035380061608534901290705092608000
 
coeff[889] = -945783979396581583170395496360756296476236157658624000
 
coeff[890] = 2993813554723467462194007346874726304894863699059200000
 
coeff[891] = -77122403629891387774477518058481359927609528455404136
 
coeff[892] = 2419586405654118866961314791133146321600962312745779200
 
coeff[893] = -2024095794585341159011101569786694805079890471580678400
 
coeff[894] = -3142100212341866186144449643968879673745313787274240000
 
coeff[895] = -545373976494618344844027286977352942601328136003740000
 
coeff[896] = 2374576678480687466790527213856242535348283002322944000
 
coeff[897] = 208077440583552141762629679142131435931461611697216000
 
coeff[898] = -11063921897309058328822123698795797631015488804506752000
 
coeff[899] = 4255330926897844697038011902617190141521069061117656320
 
coeff[900] = 7666968570446960246360495566076153560359370444800000000
 
coeff[901] = 414667061760464947453714659038543448975493139424241200
 
coeff[902] = -1352856447285004307052995111563161232949782234945167360
 
coeff[903] = 67717597347760116686014535580055943300317156214400000
 
coeff[904] = -1956731499051601205010365378022755868996622635918950400
 
coeff[905] = -1087066911525529387254609974184361724687948114650422000
 
coeff[906] = -2723353227200023297124487025948292177771877813753446400
 
coeff[907] = -2297300139775143823836589429818796449519931962494799800
 
coeff[908] = 1169785238684012750536689694333128888374933608503705600
 
coeff[909] = -1324433006467829949157929025814942468684490340429305480
 
coeff[910] = -964815851543329443615693052213702753257526594560000000
 
coeff[911] = 2502332172299861337458680117453813199170053553847701344
 
coeff[912] = -8045806170532330682529232295999378841414716620800
 
coeff[913] = -295406678126125019937689016134916485233565930297355840
 
coeff[914] = -5609775883286896828549834245292488785855847322416768000
 
coeff[915] = -1628243906883002957296335037018303545474845512800720000
 
coeff[916] = -2998307054300321301938603249717019405503959351774412800
 
coeff[917] = -5375172124089332052035016780832402512240851525560214400
 
coeff[918] = 1131639579091560118288493458796446521419946416630784000
 
coeff[919] = -5202556259814384437206424409524379955943829420597088880
 
coeff[920] = -2021657088838925732681414935271276851773366809395200000
 
coeff[921] = -4522195987312815490304911829783714732183350040721720000
 
coeff[922] = 7504418289055549224982446452433377678286336491782517760
 
coeff[923] = 841149940037440237254690674392727489678996576848207680
 
coeff[924] = 410981503153238028425163801085764609913204129136640000
 
coeff[925] = 12406700288796140577770553786077506167692728599149375000
 
coeff[926] = 585365098753870372626626190999013836262675808456908800
 
coeff[927] = -9721512550199118244755873744749213700298178630082487200
 
coeff[928] = 327513526316159778318554994379174946472877812508262400
 
coeff[929] = -2299820495219033403129821737829163398192485784368575420
 
coeff[930] = 6154268010378159504910728515923804062334340387635200000
 
coeff[931] = -418814219120018529228799824753137318465578308920282000
 
coeff[932] = -2066121488728633136576780898096355381399671569507942400
 
coeff[933] = -2701629264923415684175595590848952382302072834682693760
 
coeff[934] = -41024966598138349210683786921171887303098506677897779200
 
coeff[935] = -105756267037868907968425040832026303587552501005840000
 
coeff[936] = -1365226156358666307943608537959561043750170281377792000
 
coeff[937] = 20728253767997466009656195175274111102482859002172067860
 
coeff[938] = 6431264892433748218770160793597084203642338122526720000
 
coeff[939] = -4021514740235189350331037452696457293950879310047552800
 
coeff[940] = 22843009782787480541137384442545659181939178628710400000
 
coeff[941] = 6910242774849130535729742154316194098929850966529113564
 
coeff[942] = -9859427018723165589562739197234856435517074249733120000
 
coeff[943] = -8066201568192777230531181350259238249207090659166553280
 
coeff[944] = -82366681847843220843560549274818217615634873712640
 
coeff[945] = 1301817820790784307572290116097460483326193605544000000
 
coeff[946] = -89542603188103850061830568345664727825567223711744000
 
coeff[947] = -3922053237528471526894368916080795990942198787169614920
 
coeff[948] = -17842316311169935863100342838233513938713075880296448000
 
coeff[949] = -2995615029888609168045486734131072213952765944219144400
 
coeff[950] = 9899671194194735900296244623867503693301965499200000000
 
coeff[951] = -3184792885435774068158229576803248225677604771011208800
 
coeff[952] = -1999712938864577129156477590651975215945206212853760000
 
coeff[953] = -9744586276127704137071387409413743671485927494322795340
 
coeff[954] = 7438337103761693882889043586564411435476607837905152000
 
coeff[955] = 332339179884156120079233088984265101511792493532608000
 
coeff[956] = -55245384532435916327653554388542464024501846097946214400
 
coeff[957] = 522870032914974402020142217777010087947965082864723200
 
coeff[958] = 44046602664164850271085745539745296037164405051263795200
 
coeff[959] = -9800803639854933380700936985684704681494747369983656000
 
coeff[960] = 19050063687565869532052033077865123831275428249600000
 
coeff[961] = -8929010518258853307316367971929646547620956232105475390
 
coeff[962] = -10911552128396159830352270771161629745671684780759552000
 
coeff[963] = 7315823184275278287051255931878957668245213518416178000
 
coeff[964] = 52431519620263374871707740818695297637731662369722204160
 
coeff[965] = 1398324804380405111886924224349509193257354881854750000
 
coeff[966] = 5467192563896476511551168347217029707609784134860800000
 
coeff[967] = 7702986144431860997026595809197973943227493084584377520
 
coeff[968] = 5145793373118144320529700205303741858994536040942796800
 
coeff[969] = 721746220517696924539884052894962843772456585990944000
 
coeff[970] = 10262228245298890613835960492670557215792690173094400000
 
coeff[971] = 25989700002773199653825944249995706984782097406732387784
 
coeff[972] = -30464233844678185303257879140879738363214902532322099200
 
coeff[973] = 1097475464496153092148021432997911754306291344847216000
 
coeff[974] = -743830821977358548158170189823342203939762486728601600
 
coeff[975] = 2328151374577494450339546724065362548648705700925000000
 
coeff[976] = -141550107333758847723065115828146231066850383364096
 
coeff[977] = 38480875858561905041313051867595220636913680079843016740
 
coeff[978] = 32341755263634462933597326939344577664980746954979328000
 
coeff[979] = 971484196970668384420860970790239250774829883578060960
 
coeff[980] = 4726543738750757046900102006328950667496782651392000000
 
coeff[981] = 3912056461429107894009444441893935610101491528307003800
 
coeff[982] = 31938643344207626177444478577696190074041776992136386560
 
coeff[983] = -32423811165177479059590178700572318345232334028001310960
 
coeff[984] = -21096143020714534106404097443991487361821929724759244800
 
coeff[985] = 1334402340218924623718000870329302147306109828262010000
 
coeff[986] = -12565751178624476891531312958092818961793823961243136000
 
coeff[987] = -12507222623054291237247086503811735811535507679393280000
 
coeff[988] = -3902350474667636951421994544473109023826303865585664000
 
coeff[989] = -533884203091495894703821091674570287451843799921712000
 
coeff[990] = -1897065953884526036502634351399059997750963745126400000
 
coeff[991] = -36093870763467971560763644574811761504935884691226092736
 
coeff[992] = 1250900840726937946441841805458850121817582599478968320
 
coeff[993] = -74052451559770328492092451036646946345476920215152960
 
coeff[994] = 22101044132403535587315743523343143824948979590160384000
 
coeff[995] = -18962162418191020618843704189533565138453331484880600000
 
coeff[996] = -22752073275819229812181614471907890380510023072088064000
 
coeff[997] = -11827252416410698465141694507545048712780663614521544820
 
coeff[998] = 3534607641334079240439735459198813710002461023719680000
 
coeff[999] = 14722864462178459093795284848150419189426593968399544800
 
coeff[1000] = -32424632193365043762653130185274662438195036160000000000
 
 
