Sharedwww / Tables / charpoly_s2_401-500.gpOpen in CoCalc
\\ charpoly_s2_401-500.gp
\\ This is a table of characteristic polynomials of the
\\ Hecke operators T_p acting on the space S_2(Gamma_0(N)) 
\\ of weight 2 cusp forms for Gamma_0(N).
\\ William Stein ([email protected]), September, 1998.

\\ INCOMPLETE
{
T=matrix(500,97,m,n,0);
T[401,2]=(x^12 + 3*x^11 -10*x^10 -34*x^9 + 29*x^8 + 129*x^7 -24*x^6 -203*x^5 + x^4 + 130*x^3 -5*x^2 -22*x + 4)*(x^21 -35*x^19 + 521*x^17 + 2*x^16 -4305*x^15 -51*x^14 + 21617*x^13 + 519*x^12 -67876*x^11 -2749*x^10 + 132085*x^9 + 8292*x^8 -152221*x^7 -14353*x^6 + 93934*x^5 + 12831*x^4 -24699*x^3 -4111*x^2 + 1058*x -44);
T[401,3]=(x^12 + 5*x^11 -7*x^10 -66*x^9 -33*x^8 + 249*x^7 + 270*x^6 -258*x^5 -363*x^4 + 54*x^3 + 136*x^2 -16)*(x^21 -3*x^20 -37*x^19 + 112*x^18 + 572*x^17 -1750*x^16 -4821*x^15 + 14940*x^14 + 24209*x^13 -76294*x^12 -74001*x^11 + 239594*x^10 + 133106*x^9 -457051*x^8 -121988*x^7 + 501440*x^6 + 21445*x^5 -278838*x^4 + 44972*x^3 + 55992*x^2 -21840*x + 2176);
T[401,5]=(x^12 + 7*x^11 -9*x^10 -142*x^9 -93*x^8 + 880*x^7 + 869*x^6 -2355*x^5 -1980*x^4 + 3042*x^3 + 1412*x^2 -1552*x -79)*(x^21 -3*x^20 -61*x^19 + 194*x^18 + 1512*x^17 -5215*x^16 -19300*x^15 + 75661*x^14 + 128652*x^13 -640637*x^12 -336982*x^11 + 3173409*x^10 -785768*x^9 -8594568*x^8 + 7111131*x^7 + 10298067*x^6 -15120487*x^5 -1215456*x^4 + 10541238*x^3 -4468704*x^2 -686527*x + 543818);
T[401,7]=(x^12 + 20*x^11 + 155*x^10 + 516*x^9 + 46*x^8 -5172*x^7 -15538*x^6 -11740*x^5 + 30845*x^4 + 83664*x^3 + 81306*x^2 + 32396*x + 2657)*(x^21 -24*x^20 + 195*x^19 -236*x^18 -5466*x^17 + 28324*x^16 + 9918*x^15 -432740*x^14 + 844081*x^13 + 2219324*x^12 -9342038*x^11 + 830912*x^10 + 38273997*x^9 -42544268*x^8 -54586056*x^7 + 119960784*x^6 -13453488*x^5 -96133952*x^4 + 56121600*x^3 + 6590464*x^2 -9138432*x + 667648);
T[401,11]=(x^12 + 11*x^11 -9*x^10 -451*x^9 -829*x^8 + 5973*x^7 + 17916*x^6 -24578*x^5 -119209*x^4 -29312*x^3 + 224591*x^2 + 217928*x + 41849)*(x^21 -x^20 -133*x^19 + 169*x^18 + 7471*x^17 -11763*x^16 -229832*x^15 + 438954*x^14 + 4175027*x^13 -9581728*x^12 -44526253*x^11 + 124643620*x^10 + 251896037*x^9 -934300300*x^8 -464605776*x^7 + 3623452320*x^6 -1606573440*x^5 -5297593344*x^4 + 6110001408*x^3 -1368589312*x^2 -367203328*x + 18550784);
T[401,13]=(x^12 + 11*x^11 -17*x^10 -534*x^9 -1050*x^8 + 5361*x^7 + 13008*x^6 -23718*x^5 -42795*x^4 + 49694*x^3 + 21668*x^2 -9160*x -272)*(x^21 -9*x^20 -109*x^19 + 1118*x^18 + 4634*x^17 -58263*x^16 -90876*x^15 + 1658206*x^14 + 519427*x^13 -28086092*x^12 + 11520128*x^11 + 288867488*x^10 -257320016*x^9 -1759190240*x^8 + 2219776000*x^7 + 5836035584*x^6 -9500805376*x^5 -8335835648*x^4 + 18968096768*x^3 + 139124736*x^2 -12677169152*x + 5112193024);
T[401,17]=(x^12 -x^11 -121*x^10 -2*x^9 + 5148*x^8 + 6149*x^7 -89196*x^6 -209114*x^5 + 415711*x^4 + 1675476*x^3 + 1298720*x^2 -50160*x -4208)*(x^21 + x^20 -187*x^19 -206*x^18 + 13972*x^17 + 16275*x^16 -545456*x^15 -646696*x^14 + 12147437*x^13 + 14323114*x^12 -156979448*x^11 -182562720*x^10 + 1138979392*x^9 + 1306729600*x^8 -4260042496*x^7 -4727799296*x^6 + 7100496896*x^5 + 6889117696*x^4 -5180284928*x^3 -4240441344*x^2 + 1354498048*x + 934805504);
T[401,19]=(x^12 + 34*x^11 + 417*x^10 + 1688*x^9 -7744*x^8 -97941*x^7 -293988*x^6 + 84129*x^5 + 1906971*x^4 + 2546716*x^3 -272144*x^2 -903064*x -201104)*(x^21 -38*x^20 + 531*x^19 -2310*x^18 -20841*x^17 + 314685*x^16 -1445891*x^15 + 320353*x^14 + 22349792*x^13 -73763697*x^12 -30245683*x^11 + 628797131*x^10 -924181523*x^9 -1598042849*x^8 + 5379225198*x^7 -1187269153*x^6 -10263542831*x^5 + 9433186666*x^4 + 5104654240*x^3 -9006484192*x^2 + 1760382480*x + 599833600);
T[401,23]=(x^12 + 7*x^11 -85*x^10 -394*x^9 + 2960*x^8 + 5816*x^7 -44773*x^6 -8507*x^5 + 248385*x^4 -202166*x^3 -146416*x^2 + 63728*x + 23888)*(x^21 -3*x^20 -233*x^19 + 710*x^18 + 21541*x^17 -64163*x^16 -1010056*x^15 + 2759055*x^14 + 25737606*x^13 -57281383*x^12 -361065594*x^11 + 520212169*x^10 + 2672588053*x^9 -1583714434*x^8 -8491938599*x^7 + 2003200779*x^6 + 11199012579*x^5 -961191260*x^4 -4641672936*x^3 -648998216*x^2 + 194855440*x + 22624448);
T[401,29]=(x^12 + 6*x^11 -228*x^10 -1508*x^9 + 17728*x^8 + 132163*x^7 -533648*x^6 -4893024*x^5 + 4448340*x^4 + 76961514*x^3 + 43217182*x^2 -412347675*x -522688447)*(x^21 + 4*x^20 -278*x^19 -1144*x^18 + 30567*x^17 + 129591*x^16 -1769152*x^15 -7753538*x^14 + 59372057*x^13 + 271396215*x^12 -1180912296*x^11 -5749319193*x^10 + 13360108623*x^9 + 72925003981*x^8 -72667791954*x^7 -521375089201*x^6 + 51534102405*x^5 + 1808770947602*x^4 + 895996668564*x^3 -2015987889791*x^2 -1622337847565*x -114599269150);
T[401,31]=(x^12 + 52*x^11 + 1115*x^10 + 12072*x^9 + 54822*x^8 -198713*x^7 -4308855*x^6 -27316223*x^5 -92824833*x^4 -172028322*x^3 -137314392*x^2 + 23409024*x + 69618448)*(x^21 -70*x^20 + 2011*x^19 -28338*x^18 + 136738*x^17 + 1641549*x^16 -30426777*x^15 + 170181243*x^14 + 201281319*x^13 -7674895736*x^12 + 36642075780*x^11 -9037855368*x^10 -530497210076*x^9 + 1723205611496*x^8 + 447622018528*x^7 -12792664855440*x^6 + 19861371884912*x^5 + 19062593979456*x^4 -70689373245440*x^3 + 28340271928960*x^2 + 42566075345152*x -18141154589696);
T[401,37]=(x^12 -3*x^11 -301*x^10 + 844*x^9 + 34221*x^8 -87011*x^7 -1849772*x^6 + 4081411*x^5 + 47892517*x^4 -85783276*x^3 -477097304*x^2 + 621833224*x -74838512)*(x^21 -3*x^20 -447*x^19 + 1334*x^18 + 84577*x^17 -251065*x^16 -8913748*x^15 + 25924083*x^14 + 579197747*x^13 -1606457780*x^12 -24255759368*x^11 + 61675428960*x^10 + 663967002320*x^9 -1461232686880*x^8 -11756643523200*x^7 + 20474497291520*x^6 + 129192671268608*x^5 -151685934398976*x^4 -797294235549696*x^3 + 422983356719104*x^2 + 2100995727572992*x + 293151148023808);
T[401,41]=(x^12 + 16*x^11 -149*x^10 -2691*x^9 + 9530*x^8 + 159419*x^7 -390024*x^6 -3668473*x^5 + 8608985*x^4 + 19990006*x^3 -24127082*x^2 -57467464*x -24965557)*(x^21 + 2*x^20 -587*x^19 -1617*x^18 + 143325*x^17 + 497243*x^16 -18833659*x^15 -78710614*x^14 + 1435832938*x^13 + 7115280135*x^12 -63294202603*x^11 -378226476906*x^10 + 1467096892528*x^9 + 11566142478443*x^8 -11197300226260*x^7 -186360428588169*x^6 -154723216752680*x^5 + 1236477706146966*x^4 + 2594493740205796*x^3 -751862772603232*x^2 -5607800067798993*x -3684433585862726);
T[401,43]=(x^12 + 2*x^11 -251*x^10 + 411*x^9 + 21511*x^8 -101685*x^7 -509519*x^6 + 4744964*x^5 -9117698*x^4 -11356293*x^3 + 49181240*x^2 -19691281*x -32571323)*(x^21 -10*x^20 -347*x^19 + 3327*x^18 + 48991*x^17 -430009*x^16 -3825027*x^15 + 28503716*x^14 + 184771102*x^13 -1048317345*x^12 -5710132160*x^11 + 21134787307*x^10 + 110723320313*x^9 -205808196716*x^8 -1259054645536*x^7 + 450490802432*x^6 + 7215933960192*x^5 + 5486949537280*x^4 -13242062666752*x^3 -24221886124032*x^2 -13919098261504*x -2620493053952);
T[401,47]=(x^12 + 3*x^11 -314*x^10 -214*x^9 + 33338*x^8 -59066*x^7 -1304936*x^6 + 4940655*x^5 + 8627876*x^4 -52942012*x^3 + 11172032*x^2 + 142253344*x -120470771)*(x^21 -9*x^20 -402*x^19 + 3026*x^18 + 69042*x^17 -387850*x^16 -6621456*x^15 + 22908663*x^14 + 381929584*x^13 -522492136*x^12 -13048757960*x^11 -5192665980*x^10 + 241562670361*x^9 + 428352146332*x^8 -1997199325040*x^7 -6082919067344*x^6 + 4107878851472*x^5 + 30347694451648*x^4 + 20019308382976*x^3 -42040073307392*x^2 -65566547816704*x -25889110890496);
T[401,53]=(x^12 -19*x^11 -239*x^10 + 6397*x^9 + 3547*x^8 -674841*x^7 + 1809518*x^6 + 26926965*x^5 -85310423*x^4 -501885622*x^3 + 897527072*x^2 + 4628246640*x + 3460081936)*(x^21 + 17*x^20 -349*x^19 -6431*x^18 + 51183*x^17 + 1008699*x^16 -4263372*x^15 -85371429*x^14 + 234778171*x^13 + 4261989066*x^12 -9338171256*x^11 -129068705144*x^10 + 268319461248*x^9 + 2337915863968*x^8 -5139248317696*x^7 -23736689689600*x^6 + 58125157663488*x^5 + 114582820498944*x^4 -327662539413504*x^3 -147977351641088*x^2 + 650105605201920*x -194755257376768);
T[401,59]=(x^12 + x^11 -509*x^10 -936*x^9 + 96824*x^8 + 271537*x^7 -8547076*x^6 -33358492*x^5 + 340006103*x^4 + 1797452684*x^3 -3901745472*x^2 -35010624296*x -49673523056)*(x^21 -7*x^20 -441*x^19 + 3236*x^18 + 76286*x^17 -587811*x^16 -6606976*x^15 + 53937226*x^14 + 303163149*x^13 -2686242034*x^12 -7133016384*x^11 + 72643896164*x^10 + 76267457148*x^9 -1021266138976*x^8 -315526399376*x^7 + 7063470536928*x^6 + 564770803216*x^5 -20157717775584*x^4 -3166484161984*x^3 + 10090755131008*x^2 -873236693760*x -117045913600);
T[401,61]=(x^12 + 24*x^11 + 7*x^10 -3146*x^9 -11012*x^8 + 152823*x^7 + 601250*x^6 -3415805*x^5 -10584365*x^4 + 32248994*x^3 + 46054744*x^2 -43276448*x -45635056)*(x^21 -32*x^20 + 37*x^19 + 8866*x^18 -83954*x^17 -545127*x^16 + 10300068*x^15 -12755555*x^14 -359589579*x^13 + 958369782*x^12 + 6531910824*x^11 -17186289432*x^10 -74246630880*x^9 + 120906221536*x^8 + 489159496064*x^7 -241889072640*x^6 -1399714703360*x^5 -19778210816*x^4 + 1644211773440*x^3 + 351306113024*x^2 -635032027136*x -184128339968);
T[401,67]=(x^12 -6*x^11 -330*x^10 + 1621*x^9 + 35059*x^8 -97366*x^7 -1729203*x^6 + 760893*x^5 + 37626159*x^4 + 53493380*x^3 -225348512*x^2 -632751104*x -429818624)*(x^21 -6*x^20 -590*x^19 + 3179*x^18 + 140374*x^17 -662936*x^16 -17685711*x^15 + 69936344*x^14 + 1299268411*x^13 -3953544190*x^12 -57877697261*x^11 + 114576222434*x^10 + 1575628813690*x^9 -1311121655388*x^8 -25245538866449*x^7 -7149971806033*x^6 + 208710392809219*x^5 + 271017595014348*x^4 -559785043312544*x^3 -1424783012739584*x^2 -971796719701248*x -208423493453824);
T[401,71]=(x^12 + 15*x^11 -289*x^10 -4194*x^9 + 33108*x^8 + 414833*x^7 -1885130*x^6 -16970198*x^5 + 50905581*x^4 + 271766088*x^3 -589656056*x^2 -1196955656*x + 2314277776)*(x^21 -15*x^20 -663*x^19 + 10704*x^18 + 174879*x^17 -3124678*x^16 -23812799*x^15 + 492494164*x^14 + 1797476862*x^13 -46427538128*x^12 -73317953113*x^11 + 2733741170520*x^10 + 1292500105837*x^9 -101574561236851*x^8 + 6705703930658*x^7 + 2337170412733502*x^6 -566614044451187*x^5 -31424142365121234*x^4 + 6100518572202412*x^3 + 216029385983668568*x^2 -12129805881250544*x -535362029656522432);
T[401,73]=(x^12 + 20*x^11 -126*x^10 -3511*x^9 + 6904*x^8 + 200084*x^7 -394666*x^6 -3692062*x^5 + 6642231*x^4 + 24984661*x^3 -30522957*x^2 -47301040*x -10554352)*(x^21 -18*x^20 -584*x^19 + 10633*x^18 + 144457*x^17 -2569368*x^16 -20238462*x^15 + 328864061*x^14 + 1804230562*x^13 -24149865973*x^12 -105620701313*x^11 + 1031321405675*x^10 + 3875297027977*x^9 -25068615167095*x^8 -79728971083469*x^7 + 340520709461294*x^6 + 789412511202517*x^5 -2576601103886977*x^4 -2787644669461015*x^3 + 9344865826175606*x^2 -1618811758866520*x -4192390804244512);
T[401,79]=(x^12 + 53*x^11 + 928*x^10 + 3537*x^9 -59719*x^8 -441455*x^7 + 1564361*x^6 + 12172289*x^5 -35319737*x^4 -85585322*x^3 + 346780732*x^2 -267859272*x -19238224)*(x^21 -49*x^20 + 568*x^19 + 11225*x^18 -355898*x^17 + 2425662*x^16 + 28355081*x^15 -604367156*x^14 + 3333180315*x^13 + 12387308158*x^12 -271265607969*x^11 + 1411893080532*x^10 -696746183590*x^9 -28031220462313*x^8 + 151086020870937*x^7 -325368360815509*x^6 + 2920513499447*x^5 + 1549992126748978*x^4 -3227017779945056*x^3 + 2091218261429584*x^2 + 1035747915646160*x -1456237515073600);
T[401,83]=(x^12 -17*x^11 -413*x^10 + 7896*x^9 + 46758*x^8 -1183271*x^7 -1050772*x^6 + 69863748*x^5 -47042321*x^4 -1545649356*x^3 + 760637440*x^2 + 9903099136*x -3709520128)*(x^21 + 3*x^20 -649*x^19 -3320*x^18 + 166294*x^17 + 1211741*x^16 -20453636*x^15 -205868788*x^14 + 1080699983*x^13 + 17606455756*x^12 + 2741499248*x^11 -707588829264*x^10 -2407602770256*x^9 + 8949388932032*x^8 + 68041140292736*x^7 + 76141142791936*x^6 -387318129062144*x^5 -1197448335005696*x^4 -538088086487040*x^3 + 2074360917950464*x^2 + 2987194865025024*x + 1127257935183872);
T[401,89]=(x^12 + x^11 -749*x^10 -357*x^9 + 209483*x^8 + 49267*x^7 -27859454*x^6 -2227644*x^5 + 1795772673*x^4 -213977262*x^3 -48293128619*x^2 + 21707766742*x + 291613788629)*(x^21 + 35*x^20 -461*x^19 -29477*x^18 -71566*x^17 + 9453804*x^16 + 80927223*x^15 -1435233193*x^14 -19912937385*x^13 + 93205415404*x^12 + 2361195485998*x^11 + 713390058691*x^10 -148294965993089*x^9 -440295935715917*x^8 + 4786806206307051*x^7 + 23246169213935172*x^6 -69924152396702942*x^5 -503967856250770894*x^4 + 229020032695369691*x^3 + 4394366506877185092*x^2 + 2460529546157319165*x -8268407483713517450);
T[401,97]=(x^12 -12*x^11 -619*x^10 + 8426*x^9 + 109025*x^8 -1871041*x^7 -3228466*x^6 + 134554478*x^5 -249960073*x^4 -2704491096*x^3 + 5858531128*x^2 + 17887916920*x -9379281712)*(x^21 + 6*x^20 -811*x^19 -3418*x^18 + 274257*x^17 + 760569*x^16 -50746814*x^15 -78787702*x^14 + 5646571473*x^13 + 2794387456*x^12 -389409344828*x^11 + 159076237392*x^10 + 16463811219936*x^9 -18548484404896*x^8 -405863786280512*x^7 + 642383333543680*x^6 + 5341231904918528*x^5 -8714496792991232*x^4 -35115113256698880*x^3 + 43837445160165376*x^2 + 93281164076691456*x -39362405203222528);

T[402,2]=(x^2 + 2*x + 2)*(x^6 -3*x^5 + 5*x^4 -7*x^3 + 10*x^2 -12*x + 8)*(x^2 + x + 2)*(x^2 -x + 2)*(x^10 + 2*x^8 + 5*x^6 + 2*x^5 + 10*x^4 + 16*x^2 + 32)*(x^2 -2*x + 2)^2*(x^4 + x^3 + 3*x^2 + 2*x + 4)^2*(x^4 + 3*x^3 + 5*x^2 + 6*x + 4)^2*(x + 1)^11*(x -1)^12;
T[402,3]=(x^6 -3*x^5 + 9*x^4 -17*x^3 + 27*x^2 -27*x + 27)*(x^6 -x^5 + x^4 + 5*x^3 + 3*x^2 -9*x + 27)*(x^2 + 2*x + 3)^2*(x^4 -x^3 + 5*x^2 -3*x + 9)^2*(x^4 + 3*x^3 + 7*x^2 + 9*x + 9)^2*(x + 1)^16*(x -1)^17;
T[402,5]=(x -1)*(x^2 -12)*(x^2 -x -10)*(x^3 -3*x^2 -4*x + 4)*(x + 1)^2*(x^3 + 3*x^2 -6*x + 1)^2*(x^3 -3*x^2 -2*x + 3)^2*(x^3 -x^2 -3*x + 1)^2*(x^5 + 3*x^4 -9*x^3 -19*x^2 + 10*x + 16)^2*(x )^2*(x^2 -4*x -1)^4*(x -2)^6*(x + 3)^11;
T[402,7]=(x + 1)*(x -2)*(x^2 -6*x + 6)*(x^2 + x -10)*(x^3 -x^2 -4*x + 2)*(x + 5)^2*(x^3 -20*x + 8)^2*(x^3 -x^2 -5*x + 1)^2*(x^3 -12*x -8)^2*(x^5 -7*x^4 + 3*x^3 + 63*x^2 -128*x + 64)^2*(x + 3)^3*(x )^3*(x + 2)^4*(x^2 -x -1)^4*(x^2 + x -11)^4;
T[402,11]=(x^3 -28*x + 16)*(x + 2)^2*(x + 6)^2*(x^3 + x^2 -16*x + 9)^2*(x^3 -10*x^2 + 24*x + 4)^2*(x^3 + 3*x^2 -24*x -53)^2*(x^5 -20*x^3 -4*x^2 + 56*x -32)^2*(x -4)^3*(x^2 -5)^4*(x )^4*(x + 4)^7*(x -1)^8;
T[402,13]=(x + 2)*(x^2 + 2*x -2)*(x^3 + 6*x^2 -22*x -136)*(x )*(x^3 + 3*x^2 -18*x -3)^2*(x^3 + 8*x^2 + 12*x + 4)^2*(x^3 -11*x^2 + 30*x -9)^2*(x^5 -10*x^4 + 20*x^3 + 36*x^2 -88*x -32)^2*(x + 4)^4*(x -2)^4*(x^2 + x -1)^4*(x^2 + 7*x + 1)^4*(x -4)^6;
T[402,17]=(x + 6)*(x^2 -12)*(x^3 + 2*x^2 -28*x + 8)*(x + 2)^2*(x + 7)^2*(x^3 + 3*x^2 -18*x -3)^2*(x^3 + 3*x^2 -2*x -3)^2*(x^3 -28*x + 52)^2*(x^5 + 5*x^4 -46*x^3 -96*x^2 + 636*x -568)^2*(x -6)^3*(x -3)^4*(x -2)^4*(x^2 + 6*x + 4)^4*(x^2 -6*x + 4)^4;
T[402,19]=(x -4)*(x + 4)*(x^2 + 2*x -40)*(x + 5)^2*(x^3 + 2*x^2 -44*x -20)^2*(x^3 -6*x^2 -36*x + 152)^2*(x^5 -5*x^4 -46*x^3 + 248*x^2 -180*x -16)^2*(x -7)^4*(x^2 -x -11)^4*(x^2 + 11*x + 29)^4*(x + 2)^8*(x -2)^9;
T[402,23]=(x + 6)*(x + 9)*(x -4)*(x^2 -14*x + 46)*(x^2 -9*x + 10)*(x^3 -3*x^2 -36*x + 54)*(x + 1)^2*(x + 7)^2*(x^3 + 3*x^2 -36*x + 51)^2*(x^3 + 11*x^2 + 32*x + 27)^2*(x^3 -3*x^2 -31*x + 95)^2*(x^5 + 2*x^4 -14*x^3 + 8*x^2 + 11*x -4)^2*(x + 3)^3*(x -9)^4*(x^2 -6*x -11)^4*(x^2 + 2*x -19)^4;
T[402,29]=(x + 2)*(x -8)*(x^2 + 2*x -74)*(x^3 -6*x^2 -22*x + 136)*(x -1)^2*(x -4)^2*(x + 8)^2*(x^3 -4*x^2 -48*x + 64)^2*(x^5 -3*x^4 -98*x^3 + 224*x^2 + 2048*x -2048)^2*(x + 5)^4*(x^2 + 6*x -11)^4*(x^2 -10*x + 5)^4*(x + 4)^8*(x )^8;
T[402,31]=(x -2)*(x -5)*(x + 9)*(x^2 -10*x -2)*(x^2 + 7*x + 2)*(x^3 + 13*x^2 + 52*x + 62)*(x )*(x + 4)^2*(x + 7)^2*(x^3 -12*x^2 + 36*x -8)^2*(x^3 -11*x^2 -13*x + 295)^2*(x^3 -4*x^2 -84*x + 440)^2*(x^5 -9*x^4 -x^3 + 173*x^2 -332*x -32)^2*(x + 10)^4*(x^2 -45)^4*(x + 1)^10;
T[402,37]=(x + 7)*(x -6)*(x^2 -15*x + 46)*(x^3 + 7*x^2 -136*x -1028)*(x -5)^2*(x -3)^2*(x^3 -4*x^2 -60*x + 200)^2*(x^3 + 9*x^2 -13*x -169)^2*(x^3 -84*x -136)^2*(x^5 -8*x^4 -68*x^3 + 438*x^2 + 655*x -818)^2*(x + 2)^3*(x + 3)^3*(x + 1)^4*(x^2 -3*x + 1)^4*(x^2 + x -11)^4;
T[402,41]=(x + 2)*(x + 10)*(x^2 + 4*x -8)*(x^2 + x -10)*(x^3 -5*x^2 -84*x + 344)*(x + 3)^2*(x + 9)^2*(x -3)^2*(x^3 -x^2 -61*x -97)^2*(x^3 -12*x -8)^2*(x^3 + 4*x^2 -124*x -600)^2*(x^5 + 7*x^4 -15*x^3 -129*x^2 -14*x + 32)^2*(x^2 -5*x -25)^4*(x^2 + 3*x + 1)^4*(x )^6;
T[402,43]=(x + 7)*(x^2 -8*x -32)*(x^2 + 11*x + 20)*(x^3 + x^2 -104*x -352)*(x -4)^2*(x -9)^2*(x + 6)^2*(x -7)^2*(x^3 -x^2 -60*x + 167)^2*(x^3 -3*x^2 -60*x + 53)^2*(x^5 -x^4 -91*x^3 + 205*x^2 + 1974*x -6056)^2*(x + 2)^4*(x^2 -3*x -9)^4*(x^2 + 9*x -11)^4*(x + 1)^7;
T[402,47]=(x + 6)*(x + 8)*(x -12)*(x^2 + 10*x -16)*(x^2 -2*x -74)*(x^3 + 10*x^2 -46*x -128)*(x -9)^2*(x -8)^2*(x^3 -18*x^2 + 60*x + 52)^2*(x^3 -21*x^2 + 144*x -321)^2*(x^3 -x^2 -16*x -9)^2*(x^5 + 5*x^4 -46*x^3 -248*x^2 -180*x + 16)^2*(x )^3*(x + 1)^4*(x^2 + 15*x + 55)^4*(x^2 + 7*x + 11)^4;
T[402,53]=(x -9)*(x + 6)*(x -2)*(x + 3)*(x^2 -8*x + 4)*(x^2 + 3*x -90)*(x^3 -15*x^2 + 68*x -92)*(x -1)^2*(x + 5)^2*(x^3 + 3*x^2 -74*x + 45)^2*(x^3 + 9*x^2 + 18*x -9)^2*(x^3 -7*x^2 -77*x -131)^2*(x^5 + 15*x^4 -97*x^3 -1933*x^2 -4176*x -1588)^2*(x^2 -45)^4*(x -10)^6*(x + 9)^8;
T[402,59]=(x + 8)*(x + 3)*(x^2 + 12*x + 24)*(x^2 + 7*x -80)*(x^3 -3*x^2 -60*x + 8)*(x )*(x + 9)^2*(x^3 -180*x + 216)^2*(x^3 -12*x + 8)^2*(x^3 -15*x^2 -25*x + 625)^2*(x^5 + 6*x^4 -104*x^3 -284*x^2 + 2465*x -496)^2*(x -9)^4*(x -3)^5*(x -6)^8*(x + 6)^8;
T[402,61]=(x -8)*(x -6)*(x^2 + 6*x + 6)*(x^2 + 14*x + 8)*(x^3 -58*x -124)*(x -14)^2*(x + 10)^2*(x -2)^2*(x^3 -15*x^2 + 66*x -89)^2*(x^3 -21*x^2 + 70*x + 317)^2*(x^3 + 2*x^2 -76*x + 116)^2*(x^5 -6*x^4 -96*x^3 + 1044*x^2 -3472*x + 3856)^2*(x^2 + 9*x + 9)^4*(x^2 + 7*x -89)^4*(x + 2)^6;
T[402,67]=(x -1)^32*(x + 1)^33;
T[402,71]=(x -4)*(x + 14)*(x^2 -6*x -18)*(x^2 + 14*x + 8)*(x^3 -6*x^2 -46*x + 232)*(x + 16)^2*(x^3 -9*x^2 -12*x + 179)^2*(x^3 -5*x^2 -88*x -165)^2*(x^3 -18*x^2 + 68*x + 100)^2*(x^5 -22*x^4 + 20*x^3 + 2148*x^2 -12592*x + 10624)^2*(x + 4)^3*(x + 12)^3*(x^2 -12*x + 31)^4*(x^2 -245)^4*(x )^4;
T[402,73]=(x^2 -13*x -50)*(x^3 + x^2 -56*x -172)*(x -6)^2*(x + 13)^2*(x + 6)^2*(x^3 + 23*x^2 + 114*x -211)^2*(x^3 -9*x^2 -54*x -27)^2*(x^3 + 19*x^2 + 83*x + 97)^2*(x^5 -284*x^3 + 534*x^2 + 19963*x -78838)^2*(x -11)^4*(x + 7)^6*(x -8)^8*(x + 4)^8;
T[402,79]=(x + 2)*(x^2 + 6*x -32)*(x^2 -6*x -18)*(x^3 + 26*x^2 + 130*x -464)*(x + 16)^2*(x^3 + 6*x^2 -24*x + 8)^2*(x^3 -28*x^2 + 248*x -688)^2*(x^3 -10*x^2 -96*x + 824)^2*(x^5 -28*x^4 -24*x^3 + 5936*x^2 -39680*x -1024)^2*(x )^2*(x -8)^3*(x^2 + 11*x -31)^4*(x^2 + 7*x -89)^4*(x + 8)^6;
T[402,83]=(x + 12)*(x -15)*(x -9)*(x + 16)*(x^2 -15*x -36)*(x^3 + 3*x^2 -184*x -544)*(x^2 -16*x + 16)*(x -5)^2*(x -1)^2*(x + 4)^2*(x^3 + 7*x^2 -21*x -25)^2*(x^3 -18*x^2 + 648)^2*(x^3 + 22*x^2 + 32*x -984)^2*(x^5 -9*x^4 -229*x^3 + 2819*x^2 -6284*x + 3904)^2*(x -4)^4*(x^2 -13*x + 31)^4*(x^2 + 15*x -5)^4;
T[402,89]=(x -16)*(x^2 + 18*x + 40)*(x^3 -16*x^2 + 20*x + 368)*(x -4)^2*(x + 10)^2*(x + 15)^2*(x + 6)^2*(x^3 + 6*x^2 -148*x + 116)^2*(x^3 -3*x^2 -126*x -321)^2*(x^5 + 11*x^4 -80*x^3 -284*x^2 + 1900*x -2264)^2*(x^3 -19*x^2 + 98*x -153)^2*(x )^3*(x -7)^4*(x^2 -5)^4*(x^2 + 16*x + 19)^4;
T[402,97]=(x + 2)*(x -8)*(x + 6)*(x^2 + 14*x + 8)*(x^2 -108)*(x^3 -4*x^2 -92*x + 496)*(x -4)^2*(x + 12)^2*(x -16)^2*(x^3 + 8*x^2 -240*x -932)^2*(x^3 + 2*x^2 -136*x + 520)^2*(x^3 -18*x^2 + 24*x + 584)^2*(x^5 + 14*x^4 -176*x^3 -3964*x^2 -21880*x -36832)^2*(x^2 -45)^4*(x^2 -2*x -179)^4*(x )^5;

T[403,2]=(x^2 -3*x + 1)*(x^7 -2*x^6 -9*x^5 + 17*x^4 + 20*x^3 -37*x^2 + x + 4)*(x^8 + x^7 -11*x^6 -10*x^5 + 37*x^4 + 33*x^3 -36*x^2 -33*x -4)*(x^6 + 2*x^5 -7*x^4 -13*x^3 + 6*x^2 + 7*x -3)*(x^8 + 5*x^7 -30*x^5 -24*x^4 + 54*x^3 + 54*x^2 -28*x -29)*(x^2 -x -1)^2;
T[403,3]=(x^7 -5*x^6 + 28*x^4 -25*x^3 -21*x^2 + 15*x + 8)*(x^8 -7*x^7 + 8*x^6 + 42*x^5 -107*x^4 + 15*x^3 + 141*x^2 -104*x + 16)*(x^6 + 5*x^5 + 4*x^4 -10*x^3 -11*x^2 + x + 1)*(x^8 + 3*x^7 -12*x^6 -36*x^5 + 31*x^4 + 97*x^3 -29*x^2 -72*x + 12)*(x + 2)^2*(x^2 + 2*x -4)^2;
T[403,5]=(x^2 -5)*(x^7 -11*x^6 + 38*x^5 -27*x^4 -75*x^3 + 80*x^2 + 39*x -4)*(x^8 -11*x^7 + 32*x^6 + 35*x^5 -263*x^4 + 126*x^3 + 537*x^2 -346*x -232)*(x^6 + 9*x^5 + 20*x^4 -19*x^3 -75*x^2 + 14*x + 39)*(x^8 + 15*x^7 + 83*x^6 + 192*x^5 + 99*x^4 -225*x^3 -158*x^2 + 90*x + 3)*(x -1)^4;
T[403,7]=(x^7 -4*x^6 -7*x^5 + 24*x^4 + 7*x^3 -23*x^2 -7*x + 2)*(x^8 + 2*x^7 -39*x^6 -42*x^5 + 527*x^4 + 185*x^3 -2717*x^2 + 250*x + 3824)*(x^6 -29*x^4 -6*x^3 + 175*x^2 + 121*x -113)*(x^8 + 4*x^7 -20*x^6 -88*x^5 + 46*x^4 + 335*x^3 + 50*x^2 -181*x + 29)*(x -1)^2*(x^2 + 4*x -1)^2;
T[403,11]=(x^2 -20)*(x^7 -8*x^6 -3*x^5 + 99*x^4 + 10*x^3 -307*x^2 -17*x + 283)*(x^8 + 2*x^7 -31*x^6 -51*x^5 + 238*x^4 + 267*x^3 -631*x^2 -319*x + 484)*(x^8 + 5*x^7 -56*x^6 -309*x^5 + 705*x^4 + 4994*x^3 + 769*x^2 -17712*x -14580)*(x^6 + 5*x^5 -18*x^4 -49*x^3 + 147*x^2 -76*x + 9)*(x -2)^4;
T[403,13]=(x^4 + 2*x^3 + 22*x^2 + 26*x + 169)*(x + 1)^15*(x -1)^16;
T[403,17]=(x^7 -7*x^6 -20*x^5 + 227*x^4 -433*x^3 + 421*x -184)*(x^8 -7*x^7 -48*x^6 + 349*x^5 + 589*x^4 -4864*x^3 -1393*x^2 + 20046*x -9064)*(x^6 + 23*x^5 + 194*x^4 + 709*x^3 + 873*x^2 -758*x -1821)*(x^8 + 11*x^7 -10*x^6 -313*x^5 + 51*x^4 + 2638*x^3 -783*x^2 -4546*x -1940)*(x^2 -6*x + 4)^3;
T[403,19]=(x^7 -x^6 -37*x^5 -2*x^4 + 369*x^3 + 352*x^2 -185*x -40)*(x^8 + 5*x^7 -73*x^6 -232*x^5 + 1533*x^4 + 1764*x^3 -4951*x^2 -568*x + 1616)*(x^6 -7*x^5 -77*x^4 + 460*x^3 + 1315*x^2 -5042*x + 2779)*(x^8 + 9*x^7 -46*x^6 -489*x^5 + 74*x^4 + 4150*x^3 + 760*x^2 -8448*x + 3557)*(x -1)^2*(x^2 -5)^2;
T[403,23]=(x^2 + 6*x + 4)*(x^7 -6*x^6 -76*x^5 + 392*x^4 + 1229*x^3 -3636*x^2 -8263*x -3812)*(x^8 -14*x^7 + 2*x^6 + 678*x^5 -1885*x^4 -9248*x^3 + 34879*x^2 + 37276*x -171104)*(x^6 + 18*x^5 + 92*x^4 + 2*x^3 -899*x^2 -746*x + 2271)*(x^8 -86*x^6 + 84*x^5 + 1331*x^4 -268*x^3 -5687*x^2 -1446*x + 3452)*(x^2 + 2*x -44)^2;
T[403,29]=(x^2 -6*x + 4)*(x^7 + 2*x^6 -108*x^5 -7*x^4 + 2544*x^3 -1544*x^2 -8245*x -3670)*(x^8 -12*x^7 -14*x^6 + 533*x^5 -1550*x^4 -232*x^3 + 3257*x^2 + 700*x -428)*(x^6 + 18*x^5 + 82*x^4 -225*x^3 -2444*x^2 -4102*x + 1821)*(x^8 + 12*x^7 -84*x^6 -1333*x^5 -194*x^4 + 34630*x^3 + 74915*x^2 -116214*x -315444)*(x^2 -10*x + 20)^2;
T[403,31]=(x -1)^17*(x + 1)^18;
T[403,37]=(x^2 + 6*x -36)*(x^7 -28*x^6 + 284*x^5 -1043*x^4 -1923*x^3 + 27295*x^2 -79133*x + 77417)*(x^8 -2*x^7 -66*x^6 + 161*x^5 + 1107*x^4 -2659*x^3 -4617*x^2 + 10693*x -2690)*(x^8 + 9*x^7 -131*x^6 -1340*x^5 + 3685*x^4 + 56502*x^3 + 48639*x^2 -506978*x -852812)*(x^6 + 13*x^5 -55*x^4 -1010*x^3 -1875*x^2 + 2966*x + 2371)*(x + 2)^4;
T[403,41]=(x^2 -5)*(x^7 -3*x^6 -133*x^5 + 354*x^4 + 4210*x^3 -9517*x^2 -17215*x -4690)*(x^8 -13*x^7 -71*x^6 + 976*x^5 + 2854*x^4 -20463*x^3 -56379*x^2 + 78708*x + 214652)*(x^6 + 5*x^5 -139*x^4 -886*x^3 + 1920*x^2 + 13021*x -9633)*(x^8 + 25*x^7 + 148*x^6 -803*x^5 -10517*x^4 -24675*x^3 + 25545*x^2 + 80829*x + 18859)*(x -7)^4;
T[403,43]=(x^2 + 10*x -20)*(x^7 + x^6 -119*x^5 + 188*x^4 + 2040*x^3 -3461*x^2 -6227*x + 2536)*(x^8 + 5*x^7 -127*x^6 -740*x^5 + 2834*x^4 + 19087*x^3 -297*x^2 -60804*x -15488)*(x^6 + 7*x^5 -101*x^4 -706*x^3 + 532*x^2 + 1541*x + 599)*(x^8 -7*x^7 -199*x^6 + 1396*x^5 + 9678*x^4 -72663*x^3 + 4871*x^2 + 206378*x -149092)*(x^2 + 2*x -4)^2;
T[403,47]=(x^2 -80)*(x^7 + x^6 -219*x^5 + 346*x^4 + 13154*x^3 -47087*x^2 -47793*x + 39428)*(x^8 -23*x^7 + 85*x^6 + 1118*x^5 -6578*x^4 -4123*x^3 + 26089*x^2 -488*x -7040)*(x^6 + 9*x^5 -95*x^4 -500*x^3 + 2666*x^2 + 233*x -5361)*(x^8 + 17*x^7 -135*x^6 -3612*x^5 -9174*x^4 + 111609*x^3 + 469061*x^2 -47520*x -120144)*(x^2 + 4*x -16)^2;
T[403,53]=(x^2 -18*x + 76)*(x^7 -29*x^6 + 220*x^5 + 771*x^4 -15431*x^3 + 42444*x^2 + 74489*x -270268)*(x^8 -25*x^7 + 70*x^6 + 2067*x^5 -10865*x^4 -31170*x^3 + 139247*x^2 + 131586*x -354728)*(x^6 + 31*x^5 + 334*x^4 + 1421*x^3 + 1489*x^2 -2780*x -3633)*(x^8 + 15*x^7 -615*x^5 -1065*x^4 + 6006*x^3 + 12445*x^2 + 3666*x -828)*(x^2 + 12*x + 16)^2;
T[403,59]=(x^2 + 6*x -11)*(x^7 -3*x^6 -308*x^5 + 655*x^4 + 23179*x^3 -47642*x^2 -320055*x -250090)*(x^8 + 5*x^7 -252*x^6 -533*x^5 + 20139*x^4 + 4450*x^3 -558165*x^2 + 306434*x + 3991768)*(x^6 + x^5 -136*x^4 + 71*x^3 + 3945*x^2 -9040*x -1359)*(x^8 + 15*x^7 -93*x^6 -2164*x^5 -2369*x^4 + 78357*x^3 + 271540*x^2 -245226*x -1314177)*(x^2 -5)^2;
T[403,61]=(x^2 -14*x + 4)*(x^7 -5*x^6 -112*x^5 + 380*x^4 + 4207*x^3 -5379*x^2 -55645*x -54112)*(x^8 + 9*x^7 -240*x^6 -1784*x^5 + 15963*x^4 + 82241*x^3 -220813*x^2 -255762*x + 360296)*(x^6 + 15*x^5 -94*x^4 -1998*x^3 -8179*x^2 -12413*x -6223)*(x^8 -11*x^7 -194*x^6 + 1174*x^5 + 14097*x^4 -4869*x^3 -181171*x^2 -86010*x + 493348)*(x^2 + 6*x -116)^2;
T[403,67]=(x^7 + 32*x^6 + 396*x^5 + 2380*x^4 + 7156*x^3 + 9871*x^2 + 3853*x -1718)*(x^8 -22*x^7 -98*x^6 + 4424*x^5 -7356*x^4 -239515*x^3 + 426459*x^2 + 4314658*x + 2879368)*(x^6 + 28*x^5 + 164*x^4 -1422*x^3 -13236*x^2 + 16051*x + 221807)*(x^8 -18*x^7 + 62*x^6 + 534*x^5 -3756*x^4 + 2345*x^3 + 30349*x^2 -75928*x + 52672)*(x + 8)^2*(x -8)^4;
T[403,71]=(x^7 -5*x^6 -265*x^5 + 374*x^4 + 18035*x^3 + 27020*x^2 -263745*x -662786)*(x^8 + 17*x^7 -123*x^6 -2108*x^5 + 8017*x^4 + 54818*x^3 -251619*x^2 + 161766*x + 183184)*(x^6 -x^5 -279*x^4 + 864*x^3 + 11201*x^2 -26476*x + 627)*(x^8 + 7*x^7 -178*x^6 -1019*x^5 + 8926*x^4 + 30514*x^3 -134152*x^2 -82100*x + 79141)*(x -3)^2*(x^2 -4*x -121)^2;
T[403,73]=(x^7 -x^6 -356*x^5 + 2165*x^4 + 28353*x^3 -337304*x^2 + 1173025*x -1339357)*(x^8 + 27*x^7 + 60*x^6 -4519*x^5 -54015*x^4 -234362*x^3 -377005*x^2 -158445*x -18442)*(x^6 + 20*x^5 + 88*x^4 -293*x^3 -2370*x^2 -2768*x + 1721)*(x^8 -24*x^7 + 70*x^6 + 2109*x^5 -16192*x^4 + 8782*x^3 + 124625*x^2 -11292*x -173100)*(x -14)^2*(x^2 -8*x -4)^2;
T[403,79]=(x^7 + 15*x^6 -57*x^5 -1080*x^4 + 1013*x^3 + 23774*x^2 -3949*x -158222)*(x^8 + 23*x^7 -x^6 -3496*x^5 -22577*x^4 + 80746*x^3 + 1241889*x^2 + 4078386*x + 4121696)*(x^6 + 15*x^5 -83*x^4 -1398*x^3 + 1747*x^2 + 30026*x + 15161)*(x^8 -33*x^7 + 165*x^6 + 4478*x^5 -46599*x^4 -37302*x^3 + 1341563*x^2 -576904*x -10460864)*(x -4)^2*(x^2 + 10*x -20)^2;
T[403,83]=(x^2 -12*x -44)*(x^7 -17*x^6 -129*x^5 + 3426*x^4 -14042*x^3 -4525*x^2 + 37081*x + 24052)*(x^8 + 25*x^7 -63*x^6 -4056*x^5 + 28*x^4 + 198399*x^3 -187587*x^2 -1440920*x + 1073104)*(x^6 -x^5 -73*x^4 + 52*x^3 + 1284*x^2 -1013*x -4077)*(x^8 + 13*x^7 -191*x^6 -1706*x^5 + 15238*x^4 + 56199*x^3 -430353*x^2 -555000*x + 3798748)*(x^2 + 12*x -44)^2;
T[403,89]=(x^2 + 6*x + 4)*(x^7 -26*x^6 + 107*x^5 + 2020*x^4 -19527*x^3 + 51024*x^2 -26458*x + 1429)*(x^8 -2*x^7 -435*x^6 + 1530*x^5 + 56173*x^4 -267802*x^3 -2084566*x^2 + 13417739*x -14681734)*(x^6 + x^5 -252*x^4 -1046*x^3 + 4039*x^2 + 16681*x -3681)*(x^8 + 23*x^7 -94*x^6 -3658*x^5 + 7327*x^4 + 155233*x^3 -756655*x^2 + 1110594*x -462276)*(x^2 -10*x -20)^2;
T[403,97]=(x^2 -4*x -41)*(x^7 -11*x^6 -340*x^5 + 4446*x^4 + 7660*x^3 -190630*x^2 + 316577*x + 357056)*(x^8 + 15*x^7 -350*x^6 -5446*x^5 + 24426*x^4 + 412000*x^3 -344577*x^2 -4009002*x + 5096888)*(x^6 + 5*x^5 -252*x^4 -612*x^3 + 16576*x^2 -2356*x -1351)*(x^8 + 17*x^7 -125*x^6 -2773*x^5 + 4230*x^4 + 142406*x^3 -63055*x^2 -2271810*x + 2246337)*(x^2 + 14*x -31)^2;

T[404,2]=(x^2 + 2)*(x^14 + x^12 + 2*x^11 + x^10 -x^8 -2*x^7 -2*x^6 + 8*x^4 + 32*x^3 + 32*x^2 + 128)*(x -1)^4*(x + 1)^4*(x )^25;
T[404,3]=(x^7 -2*x^6 -17*x^5 + 36*x^4 + 64*x^3 -148*x^2 + 11*x + 58)*(x^3 + 3*x^2 -1)^2*(x^4 + x^3 -8*x^2 + x + 8)^2*(x^7 -4*x^6 -7*x^5 + 38*x^4 + 4*x^3 -96*x^2 + 13*x + 68)^3*(x )^3*(x + 2)^4;
T[404,5]=(x -3)*(x^7 -31*x^5 + 8*x^4 + 262*x^3 -160*x^2 -503*x + 250)*(x -2)^2*(x^3 + 3*x^2 -6*x -17)^2*(x^4 -3*x^3 -4*x^2 + 7*x -2)^2*(x^7 + 3*x^6 -13*x^5 -33*x^4 + 48*x^3 + 94*x^2 -43*x -67)^3*(x + 1)^4;
T[404,7]=(x -2)*(x^7 -2*x^6 -39*x^5 + 62*x^4 + 438*x^3 -474*x^2 -1365*x + 698)*(x -1)^2*(x^3 + 3*x^2 -18*x -37)^2*(x^4 -2*x^3 -9*x^2 + 3*x + 13)^2*(x^7 -2*x^6 -25*x^5 + 66*x^4 + 90*x^3 -326*x^2 + 165*x + 14)^3*(x + 2)^4;
T[404,11]=(x + 6)*(x^7 -4*x^6 -43*x^5 + 122*x^4 + 548*x^3 -1178*x^2 -2085*x + 3482)*(x -4)^2*(x^3 + 9*x^2 + 24*x + 17)^2*(x^4 -x^3 -28*x^2 + 39*x -8)^2*(x^7 -8*x^6 -x^5 + 114*x^4 -72*x^3 -554*x^2 + 213*x + 878)^3*(x + 2)^4;
T[404,13]=(x + 3)*(x -5)*(x^7 -4*x^6 -55*x^5 + 244*x^4 + 534*x^3 -2528*x^2 + 25*x + 58)*(x^3 + 3*x^2 -36*x -127)^2*(x^4 -x^3 -16*x^2 -19*x -4)^2*(x )^2*(x -1)^3*(x^7 + x^6 -45*x^5 -59*x^4 + 664*x^3 + 1066*x^2 -3203*x -6001)^3;
T[404,17]=(x + 1)*(x^7 -4*x^6 -59*x^5 + 280*x^4 -18*x^3 -912*x^2 + 441*x + 522)*(x -5)^2*(x^3 + 9*x^2 + 18*x -9)^2*(x^4 -4*x^3 -59*x^2 + 133*x + 813)^2*(x^7 + 7*x^6 -33*x^5 -221*x^4 + 460*x^3 + 2038*x^2 -2747*x -3871)^3*(x -3)^4;
T[404,19]=(x -5)*(x^7 + 4*x^6 -96*x^5 -352*x^4 + 2544*x^3 + 7680*x^2 -18624*x -48640)*(x^4 + 13*x^3 + 30*x^2 -84*x -8)^2*(x + 5)^3*(x -1)^3*(x^7 -19*x^6 + 108*x^5 + 24*x^4 -2032*x^3 + 4400*x^2 + 5824*x -18880)^3*(x + 2)^6;
T[404,23]=(x^7 -8*x^6 -88*x^5 + 896*x^4 + 592*x^3 -22208*x^2 + 44736*x + 19456)*(x -3)^2*(x -6)^2*(x^3 + 12*x^2 + 36*x + 8)^2*(x^4 -2*x^3 -28*x^2 + 48*x -16)^2*(x -1)^3*(x^7 + 7*x^6 -48*x^5 -304*x^4 + 432*x^3 + 2160*x^2 -1536*x -64)^3;
T[404,29]=(x + 2)*(x^7 -6*x^6 -124*x^5 + 584*x^4 + 4720*x^3 -14752*x^2 -50240*x + 67456)*(x )*(x + 5)^2*(x^3 -84*x + 136)^2*(x^4 -9*x^3 -4*x^2 + 196*x -392)^2*(x + 4)^3*(x^7 + 2*x^6 -60*x^5 -88*x^4 + 880*x^3 + 1248*x^2 -2112*x -640)^3;
T[404,31]=(x + 3)*(x -5)*(x^7 -4*x^6 -92*x^5 + 208*x^4 + 1152*x^3 -768*x^2 -5184*x -3840)*(x^3 -12*x^2 + 192)^2*(x^4 + 8*x^3 -80*x^2 -704*x -768)^2*(x )^2*(x + 9)^3*(x^7 -7*x^6 -92*x^5 + 900*x^4 -1472*x^3 -3872*x^2 + 11712*x -7616)^3;
T[404,37]=(x + 10)*(x^7 -32*x^6 + 373*x^5 -1740*x^4 + 142*x^3 + 27080*x^2 -87079*x + 84646)*(x + 8)^2*(x^3 -3*x^2 -60*x + 53)^2*(x^4 + x^3 -8*x^2 + x + 8)^2*(x^7 -123*x^5 -100*x^4 + 2990*x^3 + 696*x^2 -5103*x -918)^3*(x + 2)^4;
T[404,41]=(x -2)*(x -12)*(x^7 + 14*x^6 -32*x^5 -1152*x^4 -5120*x^3 -8576*x^2 -5632*x -1024)*(x + 4)^2*(x^3 -6*x^2 -24*x -8)^2*(x^4 + 2*x^3 -32*x^2 + 8*x + 128)^2*(x -8)^3*(x^7 + 2*x^6 -160*x^5 -256*x^4 + 3840*x^3 + 10112*x^2 + 6144*x + 1024)^3;
T[404,43]=(x -8)*(x -4)*(x^7 + 24*x^6 + 144*x^5 -288*x^4 -3344*x^3 + 1344*x^2 + 13376*x + 5888)*(x + 5)^2*(x^4 + 3*x^3 -30*x^2 -44*x + 232)^2*(x + 8)^3*(x^7 -32*x^6 + 280*x^5 + 896*x^4 -25616*x^3 + 121024*x^2 -120256*x -235264)^3*(x + 2)^6;
T[404,47]=(x^7 + 4*x^6 -184*x^5 -112*x^4 + 8752*x^3 -25472*x^2 + 13632*x + 11776)*(x + 3)^2*(x -6)^2*(x^3 + 6*x^2 -96*x + 8)^2*(x^4 + 4*x^3 -76*x^2 -504*x -784)^2*(x -7)^3*(x^7 + 13*x^6 -36*x^5 -1120*x^4 -4832*x^3 -4176*x^2 + 9792*x + 12096)^3;
T[404,53]=(x + 6)*(x^7 -6*x^6 -156*x^5 + 840*x^4 + 5248*x^3 -18432*x^2 -52672*x + 70016)*(x )*(x -3)^2*(x^3 -12*x + 8)^2*(x^4 -21*x^3 + 120*x^2 + 28*x -1256)^2*(x + 2)^3*(x^7 + 8*x^6 -252*x^5 -2032*x^4 + 17408*x^3 + 146944*x^2 -210624*x -2213632)^3;
T[404,59]=(x + 6)*(x -12)*(x^7 + 30*x^6 + 345*x^5 + 1878*x^4 + 4726*x^3 + 4002*x^2 -1381*x -1774)*(x + 12)^2*(x^3 -9*x^2 -12*x + 179)^2*(x^4 -15*x^3 -60*x^2 + 1165*x -1268)^2*(x + 14)^3*(x^7 -16*x^6 -49*x^5 + 1128*x^4 + 1338*x^3 -11046*x^2 -1023*x + 18680)^3;
T[404,61]=(x -8)*(x + 10)*(x^7 -10*x^6 -100*x^5 + 808*x^4 + 3312*x^3 -20576*x^2 -36800*x + 161152)*(x + 1)^2*(x^3 -192*x + 512)^2*(x^4 -x^3 -124*x^2 -160*x + 1856)^2*(x -4)^3*(x^7 + 6*x^6 -180*x^5 -472*x^4 + 7152*x^3 + 12448*x^2 -45760*x + 17792)^3;
T[404,67]=(x + 10)*(x^7 + 2*x^6 -173*x^5 -1032*x^4 + 1864*x^3 + 16996*x^2 -4909*x -61150)*(x^3 + 21*x^2 + 84*x -107)^2*(x^4 + 17*x^3 + 34*x^2 -469*x -1666)^2*(x^7 -34*x^6 + 349*x^5 + 68*x^4 -23296*x^3 + 149424*x^2 -337723*x + 183394)^3*(x -2)^6;
T[404,71]=(x + 9)*(x + 1)*(x^7 -396*x^5 + 288*x^4 + 42880*x^3 -78528*x^2 -1031872*x + 1203968)*(x + 10)^2*(x^3 + 6*x^2 -132*x -856)^2*(x^4 -168*x^2 + 448*x + 3088)^2*(x -13)^3*(x^7 -9*x^6 -200*x^5 + 1588*x^4 + 7248*x^3 -39904*x^2 -35840*x + 189632)^3;
T[404,73]=(x + 4)*(x -2)*(x^7 + 14*x^6 -264*x^5 -4496*x^4 + 7296*x^3 + 314880*x^2 + 780288*x -1811456)*(x + 16)^2*(x^3 -84*x + 136)^2*(x^4 -16*x^3 + 36*x^2 + 168*x -416)^2*(x -8)^3*(x^7 + 2*x^6 -128*x^5 -320*x^4 + 3968*x^3 + 13184*x^2 -17408*x -68608)^3;
T[404,79]=(x -1)*(x -5)*(x^7 -24*x^6 -120*x^5 + 5776*x^4 -14256*x^3 -341760*x^2 + 1682112*x + 148224)*(x + 2)^2*(x^3 -6*x^2 -144*x -408)^2*(x^4 + 12*x^3 -180*x^2 -1688*x + 2256)^2*(x + 9)^3*(x^7 -15*x^6 -148*x^5 + 3496*x^4 -15520*x^3 -10832*x^2 + 177152*x -244160)^3;
T[404,83]=(x + 12)*(x -4)*(x^7 + 24*x^6 + 61*x^5 -1498*x^4 -5032*x^3 + 20302*x^2 + 58147*x + 9026)*(x -16)^2*(x^3 + 15*x^2 -125)^2*(x^4 -27*x^3 + 88*x^2 + 1933*x -9556)^2*(x + 4)^3*(x^7 + 22*x^6 -149*x^5 -6456*x^4 -28804*x^3 + 332730*x^2 + 3151505*x + 7092412)^3;
T[404,89]=(x -6)*(x + 6)*(x^7 + 6*x^6 -192*x^5 -816*x^4 + 7792*x^3 + 27744*x^2 -25408*x + 5248)*(x^3 + 6*x^2 -216*x -1304)^2*(x^4 + 6*x^3 -264*x^2 -904*x + 17344)^2*(x )^2*(x -14)^3*(x^7 + 22*x^6 + 96*x^5 -464*x^4 -2128*x^3 + 5472*x^2 + 4672*x -10880)^3;
T[404,97]=(x + 2)*(x^7 + 8*x^6 -303*x^5 -2144*x^4 + 4230*x^3 + 26736*x^2 -19671*x -72770)*(x -13)^2*(x^3 -15*x^2 -114*x + 1819)^2*(x^4 -4*x^3 -159*x^2 + 285*x + 3121)^2*(x^7 + 28*x^6 + 25*x^5 -5628*x^4 -62530*x^3 -249976*x^2 -314503*x + 59842)^3*(x -2)^4;

T[405,2]=(x^2 -2*x -2)*(x^2 + 2*x -2)*(x^3 -x^2 -5*x + 3)*(x^3 + x^2 -5*x -3)*(x^2 -x -3)^2*(x^2 -3)^2*(x^2 + x -3)^2*(x + 2)^3*(x -2)^3*(x -1)^4*(x + 1)^5*(x )^6;
T[405,3]=(x + 1)*(x )^42;
T[405,5]=(x^4 + 7*x^2 + 25)*(x^2 + 5)^2*(x + 1)^17*(x -1)^18;
T[405,7]=(x^2 + 6*x + 6)^2*(x^3 -5*x^2 + 3*x + 3)^2*(x + 1)^4*(x^2 -2*x -12)^4*(x + 3)^6*(x -2)^6*(x )^9;
T[405,11]=(x + 3)*(x -5)*(x -3)*(x + 5)*(x^2 + 8*x + 13)*(x^2 -8*x + 13)*(x^3 -2*x^2 -8*x + 12)*(x^3 + 2*x^2 -8*x -12)*(x^2 -2*x -12)^2*(x^2 -12)^2*(x^2 + 2*x -12)^2*(x -2)^3*(x -4)^3*(x + 2)^3*(x + 4)^4*(x )^4;
T[405,13]=(x -4)^2*(x + 4)^2*(x^2 + 4*x -8)^2*(x^3 -4*x^2 -4*x + 4)^2*(x + 5)^4*(x + 1)^4*(x -5)^4*(x^2 -6*x -4)^4*(x + 2)^9;
T[405,17]=(x -6)*(x + 6)*(x^2 -2*x -2)*(x^2 + 2*x -2)*(x^3 -2*x^2 -8*x + 12)*(x^3 + 2*x^2 -8*x -12)*(x + 4)^2*(x -4)^2*(x -8)^2*(x + 8)^2*(x^2 -27)^2*(x^2 -4*x -9)^2*(x^2 + 4*x -9)^2*(x + 2)^3*(x -2)^4*(x )^4;
T[405,19]=(x + 1)^2*(x + 8)^2*(x + 5)^2*(x^2 -2*x -11)^2*(x^3 -4*x^2 -4*x + 4)^2*(x -2)^4*(x + 7)^4*(x -1)^4*(x^2 -13)^4*(x -4)^7;
T[405,23]=(x^3 + 3*x^2 -33*x -117)*(x^3 -3*x^2 -33*x + 117)*(x + 6)^4*(x -6)^4*(x^2 -12)^4*(x -3)^5*(x + 3)^5*(x )^11;
T[405,29]=(x + 1)*(x -9)*(x -1)*(x + 9)*(x -5)*(x + 5)*(x^2 -4*x -23)*(x^2 + 4*x -23)*(x^3 -7*x^2 -29*x + 51)*(x^3 + 7*x^2 -29*x -51)*(x^2 -3)^2*(x^2 + 10*x + 12)^2*(x^2 -10*x + 12)^2*(x )^4*(x -2)^5*(x + 2)^6;
T[405,31]=(x + 1)^2*(x + 9)^2*(x^3 -8*x^2 -60*x + 468)^2*(x + 4)^4*(x -8)^4*(x + 3)^4*(x^2 + 4*x -9)^4*(x )^13;
T[405,37]=(x -8)^2*(x + 4)^2*(x^2 + 2*x -2)^2*(x^3 -6*x^2 -12*x + 4)^2*(x -5)^4*(x + 7)^4*(x -11)^4*(x -2)^8*(x + 10)^9;
T[405,41]=(x + 3)*(x -7)*(x + 5)*(x -3)*(x -5)*(x + 7)*(x^2 + 4*x -23)*(x^2 -4*x -23)*(x^3 + 13*x^2 + 19*x + 3)*(x^3 -13*x^2 + 19*x -3)*(x^2 -2*x -12)^2*(x^2 -48)^2*(x^2 + 2*x -12)^2*(x )^4*(x + 10)^5*(x -10)^6;
T[405,43]=(x + 2)^2*(x + 4)^2*(x + 8)^2*(x^2 + 10*x -2)^2*(x^3 -10*x^2 -4*x + 4)^2*(x -8)^4*(x -2)^4*(x^2 + 6*x -4)^4*(x -4)^11;
T[405,47]=(x + 7)*(x + 2)*(x -7)*(x -12)*(x + 12)*(x -2)*(x^2 + 14*x + 46)*(x^2 -14*x + 46)*(x^3 -13*x^2 -11*x + 369)*(x^3 + 13*x^2 -11*x -369)*(x -4)^2*(x + 4)^2*(x^2 -4*x -48)^2*(x^2 + 4*x -48)^2*(x^2 -48)^2*(x + 8)^3*(x -8)^4*(x )^4;
T[405,53]=(x + 6)*(x -8)*(x -6)*(x + 8)*(x^2 -10*x + 22)*(x^2 + 10*x + 22)*(x^3 + 2*x^2 -20*x -24)*(x^3 -2*x^2 -20*x + 24)*(x^2 + 4*x -9)^2*(x^2 -4*x -9)^2*(x + 2)^3*(x -10)^3*(x -2)^3*(x + 10)^4*(x )^8;
T[405,59]=(x + 14)*(x -3)*(x -1)*(x + 3)*(x + 1)*(x -14)*(x^2 -20*x + 97)*(x^2 + 20*x + 97)*(x^3 + 2*x^2 -20*x -24)*(x^3 -2*x^2 -20*x + 24)*(x -8)^2*(x + 8)^2*(x^2 + 10*x + 12)^2*(x^2 -10*x + 12)^2*(x^2 -192)^2*(x -4)^3*(x + 4)^4*(x )^4;
T[405,61]=(x + 10)^2*(x^3 -x^2 -37*x -71)^2*(x + 7)^4*(x -4)^4*(x + 1)^4*(x^2 -6*x -43)^4*(x -7)^6*(x + 2)^9;
T[405,67]=(x -14)^2*(x -6)^2*(x + 3)^2*(x^2 -12)^2*(x^3 -11*x^2 -39*x + 507)^2*(x + 10)^4*(x -5)^4*(x + 9)^4*(x^2 + 16*x + 12)^4*(x -12)^7;
T[405,71]=(x -1)*(x + 1)*(x + 3)*(x -3)*(x^2 + 4*x + 1)*(x^2 -4*x + 1)*(x^3 + 10*x^2 -92*x -708)*(x^3 -10*x^2 -92*x + 708)*(x^2 -22*x + 108)^2*(x^2 + 22*x + 108)^2*(x^2 -108)^2*(x -8)^3*(x -2)^3*(x + 2)^3*(x + 8)^4*(x )^4;
T[405,73]=(x + 8)^2*(x -2)^2*(x -4)^2*(x^2 -2*x -74)^2*(x^3 + 8*x^2 -64*x -128)^2*(x + 5)^4*(x^2 -18*x + 68)^4*(x -10)^7*(x + 7)^8;
T[405,79]=(x + 16)^2*(x + 6)^2*(x -12)^2*(x^2 -24*x + 132)^2*(x^3 -2*x^2 -84*x -24)^2*(x -2)^4*(x -17)^4*(x + 3)^4*(x^2 + 16*x + 51)^4*(x )^7;
T[405,83]=(x + 9)*(x -9)*(x^2 -6*x -18)*(x^2 + 6*x -18)*(x^3 -15*x^2 + 27*x + 81)*(x^3 + 15*x^2 + 27*x -81)*(x^2 -192)^2*(x -6)^3*(x + 6)^3*(x + 3)^4*(x -3)^4*(x + 12)^4*(x )^4*(x -12)^5;
T[405,89]=(x -9)*(x + 9)*(x + 12)^2*(x -12)^2*(x -15)^2*(x + 15)^2*(x^2 -6*x -108)^2*(x^2 + 6*x -108)^2*(x -3)^3*(x + 3)^3*(x -6)^3*(x + 6)^4*(x^2 -27)^4*(x )^4;
T[405,97]=(x + 4)^2*(x -14)^2*(x^2 + 2*x -74)^2*(x^3 + 18*x^2 -36*x -1304)^2*(x + 13)^4*(x + 19)^4*(x -8)^8*(x -2)^13;

T[406,2]=(x^2 -x + 2)*(x^10 -2*x^9 + 2*x^8 -2*x^7 + x^6 + 2*x^5 + 2*x^4 -8*x^3 + 16*x^2 -32*x + 32)*(x^2 + 2*x + 2)*(x^6 + x^5 + 3*x^4 + 3*x^3 + 6*x^2 + 4*x + 8)*(x^2 -2*x + 2)^2*(x^4 + 2*x^3 + 3*x^2 + 4*x + 4)^2*(x^2 + x + 2)^3*(x -1)^9*(x + 1)^10;
T[406,3]=(x -1)*(x^3 -x^2 -8*x + 4)*(x^4 -x^3 -10*x^2 + 4*x + 8)*(x )*(x + 2)^2*(x + 3)^2*(x^2 + x -4)^2*(x^5 + 2*x^4 -10*x^3 -18*x^2 + 11*x + 2)^2*(x^3 + 3*x^2 -x -5)^2*(x -2)^5*(x^2 -2*x -1)^6*(x + 1)^7;
T[406,5]=(x^2 -2*x -2)*(x^4 + x^3 -14*x^2 -24*x + 4)*(x^3 -5*x^2 + 2*x + 10)*(x + 4)^2*(x^2 -3*x -2)^2*(x^2 -8)^2*(x^5 -5*x^4 -3*x^3 + 29*x^2 + 6*x -24)^2*(x^3 + 5*x^2 + 3*x -5)^2*(x -2)^3*(x )^3*(x -1)^4*(x + 3)^4*(x + 1)^8;
T[406,7]=(x^2 + 2*x + 7)^2*(x^4 + 6*x^2 + 49)^2*(x + 1)^21*(x -1)^24;
T[406,11]=(x -4)*(x^2 -12)*(x^4 -7*x^3 + 8*x^2 + 16*x -16)*(x^3 -x^2 -24*x -20)*(x + 5)^2*(x -2)^2*(x^2 + 4*x -4)^2*(x^2 + x -4)^2*(x^3 -5*x^2 -5*x -1)^2*(x^5 -3*x^4 -39*x^3 + 117*x^2 + 270*x -648)^2*(x )^2*(x + 3)^3*(x + 1)^3*(x + 4)^3*(x^2 -2*x -1)^4;
T[406,13]=(x^2 + 2*x -2)*(x^3 -7*x^2 + 10*x -2)*(x^4 + 7*x^3 -26*x^2 -176*x + 28)*(x )*(x -3)^2*(x -4)^2*(x + 4)^2*(x^2 -8*x + 8)^2*(x^2 -5*x + 2)^2*(x^5 -15*x^4 + 53*x^3 + 147*x^2 -1082*x + 1432)^2*(x + 2)^3*(x + 1)^4*(x^2 + 2*x -7)^4*(x + 5)^8;
T[406,17]=(x^2 + 2*x -26)*(x^4 -20*x^2 -36*x -16)*(x^3 -8*x^2 + 2*x + 64)*(x )*(x -6)^2*(x + 2)^2*(x -8)^2*(x -4)^2*(x^2 -6*x -8)^2*(x^2 -8)^2*(x^3 -2*x^2 -32*x -52)^2*(x^5 + 4*x^4 -28*x^3 -68*x^2 + 168*x + 96)^2*(x^2 + 4*x -4)^4*(x + 4)^7;
T[406,19]=(x^2 -12)*(x^4 -2*x^3 -20*x^2 + 8*x + 32)*(x^3 + 8*x^2 -12*x -80)*(x + 8)^2*(x -5)^2*(x^2 -2*x -17)^2*(x^5 + 15*x^4 + 68*x^3 + 84*x^2 + 4*x -8)^2*(x^3 + 6*x^2 -28*x -148)^2*(x )^2*(x + 4)^4*(x -2)^5*(x -4)^5*(x -6)^8;
T[406,23]=(x + 6)*(x + 2)*(x^2 + 4*x -44)*(x^3 -6*x^2 -28*x + 136)*(x^4 -6*x^3 -8*x^2 + 64*x -32)*(x -6)^2*(x -4)^2*(x -9)^2*(x^2 + 2*x -7)^2*(x^2 + 2*x -16)^2*(x^3 -2*x^2 -52*x + 40)^2*(x^5 + 5*x^4 -34*x^3 -196*x^2 + 24*x + 768)^2*(x^2 + 4*x -28)^4*(x )^8;
T[406,29]=(x^2 + 6*x + 29)*(x -1)^27*(x + 1)^28;
T[406,31]=(x + 6)*(x -5)*(x + 1)*(x^2 -6*x -18)*(x^3 -5*x^2 -22*x + 106)*(x^4 + 7*x^3 -62*x^2 -388*x + 356)*(x + 3)^2*(x + 4)^2*(x -7)^2*(x + 8)^2*(x -3)^2*(x^2 + 5*x -32)^2*(x^5 -9*x^4 -73*x^3 + 837*x^2 -1106*x -3824)^2*(x^3 + 5*x^2 -7*x -1)^2*(x + 2)^3*(x -2)^4*(x^2 -6*x -41)^4;
T[406,37]=(x + 2)*(x^3 -10*x^2 + 8*x + 80)*(x^4 + 12*x^3 + 24*x^2 -64*x -16)*(x + 8)^2*(x + 10)^2*(x^2 -72)^2*(x^3 + 12*x^2 + 20*x -100)^2*(x^5 -14*x^4 -20*x^3 + 692*x^2 -216*x -8896)^2*(x -8)^4*(x -6)^5*(x -2)^6*(x + 4)^10;
T[406,41]=(x + 8)*(x -8)*(x^2 + 2*x -74)*(x^3 -16*x^2 + 18*x + 352)*(x^4 -4*x^3 -148*x^2 + 772*x -448)*(x -2)^2*(x + 3)^2*(x -6)^2*(x + 2)^2*(x^2 + 14*x + 32)^2*(x^2 -10*x + 23)^2*(x^3 -16*x -16)^2*(x^5 + 11*x^4 -16*x^3 -448*x^2 -816*x + 1152)^2*(x^2 -8*x -56)^4*(x )^6;
T[406,43]=(x + 8)*(x + 7)*(x -3)*(x -4)*(x^2 -8*x -32)*(x^3 + 15*x^2 + 32*x -32)*(x^4 + 5*x^3 -32*x^2 -64*x + 256)*(x + 11)^2*(x -7)^2*(x -8)^2*(x + 9)^2*(x^2 -3*x -36)^2*(x^3 + 7*x^2 -5*x -1)^2*(x^5 -19*x^4 + 93*x^3 -79*x^2 -14*x + 16)^2*(x )^2*(x^2 -10*x + 23)^4*(x + 6)^6;
T[406,47]=(x + 3)*(x -2)*(x -6)*(x + 9)*(x^2 -2*x -74)*(x^3 -5*x^2 + 2*x + 10)*(x^4 + 11*x^3 -10*x^2 -236*x -188)*(x + 7)^2*(x + 10)^2*(x -11)^2*(x -13)^2*(x -7)^2*(x + 12)^2*(x^2 + 5*x -32)^2*(x^2 -10*x + 7)^2*(x^3 + 3*x^2 -33*x -89)^2*(x^5 -4*x^4 -68*x^3 + 304*x^2 + 837*x -3918)^2*(x^2 -2*x -17)^4;
T[406,53]=(x + 2)*(x + 9)*(x^2 + 4*x -44)*(x^4 -5*x^3 -46*x^2 + 260*x -248)*(x^3 -11*x^2 + 16*x + 68)*(x -1)^2*(x + 11)^2*(x -9)^2*(x^2 + 7*x -94)^2*(x^2 -2*x -127)^2*(x^3 + 15*x^2 + 47*x + 37)^2*(x^5 + 16*x^4 + 52*x^3 -322*x^2 -2193*x -3282)^2*(x -3)^3*(x^2 -2*x -71)^4*(x -6)^5;
T[406,59]=(x + 10)*(x^2 -18*x + 78)*(x^4 -16*x^3 -16*x^2 + 916*x -2752)*(x^3 -28*x^2 + 242*x -664)*(x + 6)^2*(x^2 + 16*x + 56)^2*(x^2 + 4*x -64)^2*(x^5 + 12*x^4 -16*x^3 -620*x^2 -1968*x -768)^2*(x^3 + 8*x^2 -72*x + 100)^2*(x -12)^3*(x + 4)^3*(x^2 -4*x -28)^4*(x )^7;
T[406,61]=(x + 10)*(x + 2)*(x^3 + 10*x^2 + 8*x -80)*(x^4 + 34*x^3 + 368*x^2 + 1136*x -1376)*(x -2)^2*(x -14)^2*(x + 4)^2*(x -8)^2*(x + 8)^2*(x^2 -72)^2*(x^5 -20*x^4 -56*x^3 + 2048*x^2 + 144*x -26176)^2*(x^3 + 26*x^2 + 204*x + 472)^2*(x^2 + 4*x -4)^4*(x -6)^5*(x -4)^5;
T[406,67]=(x -8)*(x^2 -48)*(x^4 -2*x^3 -320*x^2 + 256*x + 24832)*(x^3 + 14*x^2 -32*x -128)*(x + 12)^2*(x -2)^2*(x -3)^2*(x -12)^2*(x + 6)^2*(x^2 -10*x -47)^2*(x^2 + 2*x -152)^2*(x^3 -14*x^2 -168*x + 2228)^2*(x^5 + 3*x^4 -162*x^3 -108*x^2 + 2068*x -2416)^2*(x^2 -32)^4*(x + 4)^5;
T[406,71]=(x -16)*(x + 12)*(x^2 -4*x -44)*(x^3 -8*x^2 -100*x -176)*(x^4 -24*x^3 -56*x^2 + 4784*x -28544)*(x -2)^2*(x + 2)^2*(x^5 + x^4 -108*x^3 -424*x^2 + 684*x + 2592)^2*(x^3 -84*x + 268)^2*(x )^2*(x -8)^3*(x^2 + 12*x + 28)^4*(x -7)^6*(x + 8)^7;
T[406,73]=(x -8)*(x^2 -14*x + 46)*(x^3 + 16*x^2 + 66*x + 80)*(x^4 + 24*x^3 + 132*x^2 -92*x -64)*(x -2)^2*(x + 4)^2*(x + 16)^2*(x + 1)^2*(x^2 -18*x + 64)^2*(x^5 -35*x^4 + 388*x^3 -880*x^2 -8544*x + 35456)^2*(x^3 + 8*x^2 -16*x -160)^2*(x^2 + 6*x -89)^2*(x )^2*(x + 12)^3*(x -4)^10;
T[406,79]=(x + 13)*(x -5)*(x + 4)*(x + 12)*(x^2 + 12*x + 24)*(x^3 + 3*x^2 -72*x -40)*(x^4 + 9*x^3 -188*x^2 -912*x -544)*(x + 7)^2*(x -8)^2*(x + 9)^2*(x -12)^2*(x -15)^2*(x^2 -7*x + 8)^2*(x^5 + 13*x^4 + 17*x^3 -69*x^2 -28*x + 64)^2*(x^3 -23*x^2 + 101*x + 151)^2*(x^2 + 8*x + 8)^2*(x )^2*(x^2 + 2*x -1)^4;
T[406,83]=(x -12)*(x^2 -2*x -242)*(x^4 + 8*x^3 -296*x^2 -1508*x + 17024)*(x^3 + 12*x^2 -142*x -568)*(x + 16)^2*(x -16)^2*(x -4)^2*(x -14)^2*(x^2 -4*x -64)^2*(x^3 + 8*x^2 + 16*x + 4)^2*(x^5 + 10*x^4 -152*x^3 -28*x^2 + 1128*x + 1152)^2*(x + 6)^3*(x )^4*(x^2 -4*x -28)^6;
T[406,89]=(x + 14)*(x -6)*(x -4)*(x^2 -22*x + 94)*(x^3 + 10*x^2 -158*x -220)*(x^4 -2*x^3 -124*x^2 + 332*x + 824)*(x )*(x + 10)^2*(x -15)^2*(x -12)^2*(x^2 -10*x + 7)^2*(x^5 + 25*x^4 + 128*x^3 -356*x^2 -276*x -48)^2*(x^3 -12*x^2 -136*x + 1580)^2*(x -2)^4*(x^2 + 8*x -56)^4*(x + 6)^6;
T[406,97]=(x -8)*(x -16)*(x -4)*(x^2 + 10*x + 22)*(x^4 + 4*x^3 -148*x^2 -772*x -448)*(x^3 + 16*x^2 -78*x -976)*(x + 2)^2*(x -3)^2*(x + 6)^2*(x + 10)^2*(x^2 -10*x -128)^2*(x^2 -22*x + 103)^2*(x^3 + 8*x^2 -320*x -3200)^2*(x^5 + 25*x^4 -12*x^3 -4576*x^2 -38784*x -92672)^2*(x )^2*(x -12)^3*(x^2 + 8*x -56)^4;

T[407,2]=(x^4 -x^3 -4*x^2 + 2*x + 3)*(x^4 + x^3 -4*x^2 + 1)*(x^12 -x^11 -18*x^10 + 18*x^9 + 111*x^8 -104*x^7 -274*x^6 + 212*x^5 + 255*x^4 -129*x^3 -78*x^2 + 4*x + 1)*(x^11 -2*x^10 -16*x^9 + 32*x^8 + 89*x^7 -179*x^6 -201*x^5 + 407*x^4 + 168*x^3 -333*x^2 -51*x + 75)*(x )^2*(x + 2)^4;
T[407,3]=(x^11 -24*x^9 + 3*x^8 + 209*x^7 -48*x^6 -824*x^5 + 260*x^4 + 1448*x^3 -560*x^2 -880*x + 400)*(x^12 -8*x^11 + 4*x^10 + 115*x^9 -251*x^8 -396*x^7 + 1528*x^6 -220*x^5 -2592*x^4 + 1440*x^3 + 1328*x^2 -752*x -208)*(x^4 + 4*x^3 -9*x + 1)*(x^4 -4*x^2 -x + 1)*(x -1)^2*(x + 3)^2*(x + 1)^2;
T[407,5]=(x^11 -x^10 -46*x^9 + 48*x^8 + 767*x^7 -786*x^6 -5700*x^5 + 5224*x^4 + 19152*x^3 -13536*x^2 -24000*x + 9600)*(x^12 -5*x^11 -32*x^10 + 182*x^9 + 275*x^8 -2228*x^7 + 120*x^6 + 10912*x^5 -10016*x^4 -15424*x^3 + 29312*x^2 -15872*x + 2816)*(x^4 -x^3 -4*x^2 + 2*x + 3)*(x^4 + 5*x^3 + 4*x^2 -8*x -9)*(x + 2)^2*(x -1)^2*(x )^2;
T[407,7]=(x^11 -9*x^10 -8*x^9 + 250*x^8 -297*x^7 -2188*x^6 + 3800*x^5 + 6880*x^4 -12736*x^3 -5632*x^2 + 10240*x + 1024)*(x^12 -7*x^11 -44*x^10 + 416*x^9 + 229*x^8 -8052*x^7 + 11288*x^6 + 50304*x^5 -133760*x^4 + 8320*x^3 + 173056*x^2 -45056*x -38912)*(x^4 + x^3 -4*x^2 + 1)*(x^4 + 7*x^3 + 8*x^2 -30*x -53)*(x + 2)^2*(x + 1)^4;
T[407,11]=(x^2 -3*x + 11)*(x^2 + 5*x + 11)*(x + 1)^15*(x -1)^18;
T[407,13]=(x^11 -22*x^10 + 156*x^9 -153*x^8 -2747*x^7 + 9382*x^6 + 6848*x^5 -61630*x^4 + 35796*x^3 + 77376*x^2 -42204*x -10228)*(x^12 -14*x^11 + 735*x^9 -1983*x^8 -13336*x^7 + 54856*x^6 + 81234*x^5 -560040*x^4 + 178164*x^3 + 1945404*x^2 -2543220*x + 604836)*(x^4 + 10*x^3 + 24*x^2 + 11*x -3)*(x^4 + 12*x^3 + 48*x^2 + 71*x + 31)*(x -4)^2*(x + 4)^2*(x + 2)^2;
T[407,17]=(x^11 -19*x^10 + 52*x^9 + 910*x^8 -4727*x^7 -13530*x^6 + 90030*x^5 + 95942*x^4 -560592*x^3 -504588*x^2 + 447960*x + 343956)*(x^12 -9*x^11 -40*x^10 + 580*x^9 -497*x^8 -10324*x^7 + 30038*x^6 + 28726*x^5 -224024*x^4 + 294348*x^3 -62980*x^2 -97056*x + 41004)*(x^4 + 13*x^3 + 46*x^2 + 38*x -27)*(x^4 + 9*x^3 + 12*x^2 -44*x -21)*(x -6)^2*(x + 2)^2*(x )^2;
T[407,19]=(x^4 + 6*x^3 -31*x^2 -76*x + 63)*(x^4 + 2*x^3 -45*x^2 -114*x + 133)*(x^12 + 2*x^11 -157*x^10 -176*x^9 + 9135*x^8 + 892*x^7 -234950*x^6 + 239426*x^5 + 2214660*x^4 -4980544*x^3 + 1648064*x^2 + 1585792*x + 170068)*(x^11 -14*x^10 -7*x^9 + 770*x^8 -1579*x^7 -14216*x^6 + 37106*x^5 + 106786*x^4 -238976*x^3 -283676*x^2 + 108792*x -4852)*(x -2)^2*(x )^4;
T[407,23]=(x^11 + 14*x^10 -53*x^9 -1398*x^8 -2039*x^7 + 38532*x^6 + 125656*x^5 -184928*x^4 -819648*x^3 + 152064*x^2 + 912384*x + 311040)*(x^12 -8*x^11 -87*x^10 + 712*x^9 + 1453*x^8 -12400*x^7 -14136*x^6 + 79616*x^5 + 75584*x^4 -188288*x^3 -140544*x^2 + 110848*x -5632)*(x^4 + 6*x^3 -21*x^2 -74*x + 141)*(x^4 + 4*x^3 -7*x^2 + 1)*(x -2)^2*(x + 1)^2*(x -6)^2;
T[407,29]=(x^11 -13*x^10 -35*x^9 + 753*x^8 + 487*x^7 -14136*x^6 -7924*x^5 + 83566*x^4 + 51552*x^3 -115452*x^2 -47628*x + 4860)*(x^12 + 17*x^11 -51*x^10 -2139*x^9 -4389*x^8 + 92398*x^7 + 384964*x^6 -1395210*x^5 -9437172*x^4 -2154288*x^3 + 68543280*x^2 + 140124924*x + 82908396)*(x^4 -x^3 -19*x^2 -x + 23)*(x^4 -x^3 -81*x^2 + 289*x + 21)*(x + 6)^2*(x -6)^2*(x )^2;
T[407,31]=(x^11 -12*x^10 -85*x^9 + 1370*x^8 + 1835*x^7 -58808*x^6 + 15536*x^5 + 1185616*x^4 -818720*x^3 -11433536*x^2 + 6005888*x + 43424000)*(x^12 + 10*x^11 -167*x^10 -2088*x^9 + 5511*x^8 + 133292*x^7 + 199760*x^6 -2822544*x^5 -10379872*x^4 + 6063424*x^3 + 71595392*x^2 + 90376960*x + 22641152)*(x^4 + 8*x^3 -57*x^2 -450*x -413)*(x^4 -6*x^3 -35*x^2 + 16*x + 47)*(x -7)^2*(x + 4)^4;
T[407,37]=(x^2 -3*x + 37)*(x -1)^17*(x + 1)^18;
T[407,41]=(x^11 -8*x^10 -196*x^9 + 1325*x^8 + 10659*x^7 -57610*x^6 -136148*x^5 + 784216*x^4 + 213456*x^3 -3024480*x^2 + 1804608*x -248448)*(x^12 -4*x^11 -250*x^10 + 811*x^9 + 23187*x^8 -56936*x^7 -978752*x^6 + 1562624*x^5 + 18469152*x^4 -9657856*x^3 -121299712*x^2 -122478848*x -20101376)*(x^4 + 6*x^3 -43*x -47)*(x^4 -20*x^3 + 122*x^2 -293*x + 243)*(x + 8)^2*(x + 9)^4;
T[407,43]=(x^11 -21*x^10 -83*x^9 + 4865*x^8 -25275*x^7 -268548*x^6 + 3159672*x^5 -4978498*x^4 -76229352*x^3 + 483772016*x^2 -1151565340*x + 1018403500)*(x^12 -9*x^11 -261*x^10 + 2443*x^9 + 23259*x^8 -244008*x^7 -735584*x^6 + 10730682*x^5 -1853676*x^4 -183638832*x^3 + 364218360*x^2 + 408229524*x -1102166116)*(x^4 + 7*x^3 -157*x^2 -1103*x + 1679)*(x^4 + 7*x^3 -31*x^2 -257*x -211)*(x -2)^2*(x + 6)^2*(x -8)^2;
T[407,47]=(x^11 + 14*x^10 -104*x^9 -1566*x^8 + 4039*x^7 + 51824*x^6 -46592*x^5 -591472*x^4 -182880*x^3 + 1676160*x^2 + 1244160*x -366336)*(x^12 -10*x^11 -296*x^10 + 3562*x^9 + 20855*x^8 -360016*x^7 + 152832*x^6 + 10479248*x^5 -21524096*x^4 -101633024*x^3 + 269305088*x^2 + 219353600*x -597852928)*(x^4 + 6*x^3 -64*x^2 -134*x + 303)*(x^4 -2*x^3 -16*x^2 + 18*x + 47)*(x + 9)^2*(x -3)^2*(x -8)^2;
T[407,53]=(x^4 -8*x^3 -94*x^2 + 520*x + 2157)*(x^4 + 4*x^3 -106*x^2 -804*x -1447)*(x^12 -16*x^11 -254*x^10 + 5336*x^9 + 5001*x^8 -482148*x^7 + 1385092*x^6 + 15373244*x^5 -82007312*x^4 -76613616*x^3 + 1246606064*x^2 -2695800800*x + 1793344976)*(x^11 + 2*x^10 -334*x^9 -264*x^8 + 35317*x^7 -51966*x^6 -1391512*x^5 + 5022404*x^4 + 8224464*x^3 -46058592*x^2 -8493600*x + 116464080)*(x + 3)^2*(x -1)^2*(x + 6)^2;
T[407,59]=(x^11 + 30*x^10 + 66*x^9 -5079*x^8 -33245*x^7 + 261264*x^6 + 2231896*x^5 -4517648*x^4 -50693664*x^3 + 3081792*x^2 + 321269376*x + 256770816)*(x^12 -10*x^11 -264*x^10 + 2853*x^9 + 17847*x^8 -215936*x^7 -288856*x^6 + 4365584*x^5 + 3880608*x^4 -23080512*x^3 -17312640*x^2 + 9122560*x + 3667456)*(x^4 + 6*x^3 -174*x^2 -515*x -309)*(x^4 -10*x^3 -96*x^2 + 1441*x -4353)*(x -8)^2*(x -12)^2*(x -5)^2;
T[407,61]=(x^11 -20*x^10 -274*x^9 + 6670*x^8 + 22584*x^7 -774460*x^6 -660704*x^5 + 38861516*x^4 + 5574424*x^3 -781582640*x^2 + 110398560*x + 4605256000)*(x^12 + 2*x^11 -270*x^10 -442*x^9 + 21976*x^8 + 22504*x^7 -586764*x^6 -96608*x^5 + 6131468*x^4 -3651256*x^3 -19582320*x^2 + 17880224*x + 5992256)*(x^4 + 22*x^3 + 164*x^2 + 456*x + 304)*(x^4 + 2*x^3 -172*x^2 -232*x + 6192)*(x -8)^2*(x + 8)^2*(x -12)^2;
T[407,67]=(x^11 -7*x^10 -471*x^9 + 3569*x^8 + 73997*x^7 -608900*x^6 -4319472*x^5 + 40169008*x^4 + 55782048*x^3 -799204864*x^2 + 489643264*x + 2503722752)*(x^12 -3*x^11 -399*x^10 + 525*x^9 + 58569*x^8 + 2208*x^7 -3846880*x^6 -3372720*x^5 + 112319616*x^4 + 142443008*x^3 -1181472000*x^2 -1522659072*x + 581470976)*(x^4 + 5*x^3 -95*x^2 -115*x + 1757)*(x^4 + 5*x^3 -163*x^2 -283*x + 3821)*(x -8)^2*(x + 4)^2*(x + 7)^2;
T[407,71]=(x^11 + 15*x^10 -258*x^9 -3720*x^8 + 20827*x^7 + 269876*x^6 -585212*x^5 -7292356*x^4 + 3956712*x^3 + 65060448*x^2 + 38438400*x -8674800)*(x^12 + 3*x^11 -334*x^10 + 280*x^9 + 36895*x^8 -130652*x^7 -1482692*x^6 + 9203988*x^5 + 6315360*x^4 -165091296*x^3 + 463454640*x^2 -514812096*x + 202327056)*(x^4 -9*x^3 -138*x^2 + 700*x + 6147)*(x^4 -21*x^3 + 122*x^2 -76*x -513)*(x + 3)^2*(x + 15)^2*(x -9)^2;
T[407,73]=(x^11 -47*x^10 + 806*x^9 -5012*x^8 -15641*x^7 + 362870*x^6 -1562204*x^5 + 845992*x^4 + 7398736*x^3 -8230880*x^2 -7416128*x -1136768)*(x^12 -31*x^11 -132*x^10 + 14228*x^9 -120947*x^8 -1449464*x^7 + 28025256*x^6 -84107744*x^5 -1227284224*x^4 + 12047425280*x^3 -40444159872*x^2 + 40836104192*x + 28329590528)*(x^4 + 31*x^3 + 300*x^2 + 912*x + 19)*(x^4 + 33*x^3 + 396*x^2 + 2060*x + 3937)*(x -11)^2*(x -4)^2*(x + 1)^2;
T[407,79]=(x^4 -26*x^3 + 180*x^2 -198*x + 27)*(x^4 + 4*x^3 -286*x^2 -660*x + 18877)*(x^12 -336*x^10 + 434*x^9 + 29973*x^8 -60996*x^7 -752022*x^6 + 754482*x^5 + 6875520*x^4 + 4149056*x^3 -3752292*x^2 -3569136*x -703852)*(x^11 -2*x^10 -442*x^9 -560*x^8 + 68839*x^7 + 300484*x^6 -3668078*x^5 -28027642*x^4 -14582664*x^3 + 271965244*x^2 + 462505880*x -167023700)*(x -4)^2*(x + 10)^4;
T[407,83]=(x^11 -24*x^10 -234*x^9 + 8909*x^8 -20039*x^7 -775708*x^6 + 4154616*x^5 + 17740352*x^4 -140165952*x^3 -1579008*x^2 + 1133511168*x -1510296576)*(x^12 + 14*x^11 -494*x^10 -7251*x^9 + 68043*x^8 + 1117168*x^7 -2420904*x^6 -60893728*x^5 -15437760*x^4 + 1293147264*x^3 + 1604039680*x^2 -8875956224*x -13854242816)*(x^4 + 4*x^3 -254*x^2 -1967*x -331)*(x^4 -18*x^3 -138*x^2 + 2617*x + 1899)*(x -9)^2*(x + 6)^2*(x + 15)^2;
T[407,89]=(x^4 + 18*x^3 + 50*x^2 -551*x -2451)*(x^4 + 6*x^3 -140*x^2 -191*x + 257)*(x^12 + 22*x^11 -332*x^10 -10263*x^9 -3939*x^8 + 1268912*x^7 + 5543424*x^6 -50637728*x^5 -340639584*x^4 + 256172544*x^3 + 4353909760*x^2 + 4581238016*x -1990625024)*(x^11 -4*x^10 -302*x^9 -83*x^8 + 20171*x^7 + 6326*x^6 -388964*x^5 + 348856*x^4 + 437136*x^3 -280800*x^2 -123072*x + 9600)*(x -4)^2*(x -15)^2*(x -6)^2;
T[407,97]=(x^11 -25*x^10 -310*x^9 + 13340*x^8 -57107*x^7 -1628170*x^6 + 19416852*x^5 -37452536*x^4 -504371792*x^3 + 3294826784*x^2 -7204302400*x + 4933959040)*(x^12 -63*x^11 + 1456*x^10 -11606*x^9 -93855*x^8 + 2592844*x^7 -17881832*x^6 -800256*x^5 + 697257184*x^4 -4142692416*x^3 + 10327272576*x^2 -9764287488*x -46308096)*(x^4 + 33*x^3 + 400*x^2 + 2102*x + 4013)*(x^4 + 29*x^3 + 164*x^2 -660*x + 497)*(x + 7)^2*(x -8)^2*(x -4)^2;

T[408,2]=(x^2 + 2)*(x^4 + x^3 + 2*x + 4)*(x + 1)^2*(x^2 + x + 2)^2*(x -1)^3*(x )^50;
T[408,3]=(x^2 -2*x + 3)*(x^4 + 2*x^3 + 2*x^2 + 6*x + 9)*(x^4 -2*x^3 + 4*x^2 -6*x + 9)^2*(x^2 + 3)^4*(x^2 + 2*x + 3)^4*(x -1)^17*(x + 1)^18;
T[408,5]=(x + 3)*(x^2 + x -14)*(x^2 + x -4)*(x -1)^2*(x + 1)^2*(x + 4)^3*(x^2 -12)^4*(x^2 -3*x -2)^4*(x -2)^5*(x -3)^5*(x )^12*(x + 2)^15;
T[408,7]=(x^2 + 2*x -16)*(x^2 -2*x -4)^2*(x -2)^4*(x^2 + 2*x -2)^4*(x + 2)^5*(x + 4)^12*(x -4)^12*(x )^18;
T[408,11]=(x + 1)*(x -1)*(x^2 + 9*x + 16)*(x^2 + 3*x -12)*(x -5)^2*(x + 6)^2*(x -3)^2*(x -2)^2*(x^2 -2*x -4)^2*(x -4)^3*(x + 4)^3*(x + 3)^4*(x^2 + 6*x + 6)^4*(x^2 + x -4)^4*(x -6)^6*(x )^15;
T[408,13]=(x -6)*(x^2 -x -14)*(x^2 + 3*x -2)*(x^2 -20)^2*(x + 5)^3*(x -3)^3*(x + 1)^4*(x^2 -5*x + 2)^4*(x^2 -4*x -8)^4*(x + 6)^5*(x -2)^12*(x + 2)^13;
T[408,17]=(x^2 -2*x + 17)*(x -1)^31*(x + 1)^32;
T[408,19]=(x + 7)*(x^2 + 3*x -12)*(x^2 + 3*x -36)*(x^2 + 4*x -16)^2*(x )^2*(x + 1)^4*(x^2 -3*x -36)^4*(x^2 -4*x -8)^4*(x -1)^5*(x -4)^10*(x + 4)^19;
T[408,23]=(x -7)*(x -1)*(x -2)*(x + 4)*(x^2 + 11*x + 26)*(x^2 + 3*x -12)*(x + 3)^2*(x -3)^2*(x + 8)^2*(x^2 -2*x -4)^2*(x + 6)^3*(x -9)^4*(x^2 + 6*x + 6)^4*(x^2 + 9*x + 16)^4*(x -6)^5*(x )^9*(x -4)^10;
T[408,29]=(x + 6)*(x^2 + 6*x -8)*(x + 4)^3*(x^2 -12)^4*(x^2 -68)^4*(x + 10)^7*(x -2)^9*(x )^12*(x -6)^15;
T[408,31]=(x + 2)*(x^2 + 2*x -56)*(x^2 -68)*(x + 8)^2*(x^2 + 2*x -4)^2*(x + 10)^3*(x -6)^3*(x + 6)^4*(x^2 + 2*x -16)^4*(x^2 + 2*x -26)^4*(x -8)^5*(x + 4)^7*(x -2)^8*(x -4)^8;
T[408,37]=(x -10)*(x^2 + 6*x -48)*(x )*(x + 8)^2*(x^2 + 4*x -76)^2*(x -6)^4*(x -8)^4*(x^2 -16*x + 52)^4*(x^2 + 2*x -16)^4*(x + 2)^11*(x + 4)^20;
T[408,41]=(x -7)*(x -9)*(x^2 -7*x -26)*(x^2 -9*x + 6)*(x + 5)^2*(x -5)^2*(x -10)^3*(x + 3)^4*(x -2)^4*(x + 10)^4*(x^2 + 3*x -2)^4*(x -6)^11*(x + 6)^21;
T[408,43]=(x^2 + 13*x + 28)*(x^2 -3*x -36)*(x + 9)^2*(x + 8)^2*(x^2 + 12*x + 16)^2*(x -12)^3*(x + 7)^4*(x + 1)^4*(x^2 -4*x -104)^4*(x^2 + 3*x -36)^4*(x + 4)^6*(x -8)^8*(x -4)^12;
T[408,47]=(x -10)*(x + 4)*(x^2 + 10*x + 8)*(x^2 + 6*x -48)*(x -6)^2*(x + 2)^2*(x^2 -8*x -64)^2*(x -4)^3*(x + 8)^3*(x -12)^3*(x^2 + 14*x + 32)^4*(x^2 -48)^4*(x + 6)^5*(x )^21;
T[408,53]=(x -10)^2*(x + 14)^2*(x + 10)^4*(x^2 -8*x -52)^4*(x^2 -12*x -12)^4*(x + 6)^12*(x + 2)^12*(x -6)^17;
T[408,59]=(x + 10)*(x^2 -2*x -56)*(x^2 + 2*x -152)*(x -4)^2*(x + 4)^2*(x + 8)^2*(x^2 -20*x + 80)^2*(x + 6)^3*(x^2 -12*x + 24)^4*(x^2 -6*x -8)^4*(x -12)^6*(x -6)^6*(x )^8*(x + 12)^11;
T[408,61]=(x + 14)*(x + 12)*(x^2 -10*x -32)*(x )*(x + 2)^2*(x -14)^2*(x -12)^2*(x^2 + 4*x -76)^2*(x^2 + 8*x + 4)^4*(x^2 -10*x + 8)^4*(x -8)^10*(x + 10)^11*(x + 4)^13;
T[408,67]=(x -12)^4*(x^2 -16*x + 16)^4*(x -8)^8*(x + 4)^10*(x + 12)^14*(x -4)^21;
T[408,71]=(x + 2)*(x^2 + 2*x -152)*(x -2)^2*(x -8)^2*(x^2 -14*x + 44)^2*(x + 6)^3*(x -6)^3*(x + 12)^4*(x^2 -4*x -64)^4*(x^2 + 6*x -18)^4*(x -12)^9*(x )^9*(x + 4)^10;
T[408,73]=(x + 10)*(x^2 -68)*(x + 2)^2*(x^2 -12*x -44)^2*(x + 14)^4*(x^2 + 8*x -52)^4*(x + 6)^8*(x -10)^8*(x -2)^28;
T[408,79]=(x -6)*(x^2 + 2*x -56)*(x + 14)^2*(x^2 -10*x -20)^2*(x -2)^3*(x + 4)^3*(x^2 + 14*x + 22)^4*(x^2 -6*x -144)^4*(x + 8)^5*(x -10)^6*(x -8)^6*(x -12)^8*(x + 10)^9;
T[408,83]=(x^2 -6*x -8)*(x^2 + 2*x -56)*(x + 14)^2*(x + 2)^2*(x -8)^2*(x -16)^2*(x -6)^2*(x^2 -12*x + 16)^2*(x -12)^3*(x + 6)^4*(x + 12)^4*(x -4)^4*(x^2 + 12*x + 24)^4*(x^2 + 10*x + 8)^4*(x )^6*(x + 4)^10;
T[408,89]=(x -4)*(x -8)*(x^2 -10*x + 8)*(x^2 -10*x -32)*(x + 10)^2*(x -12)^2*(x -16)^2*(x^2 + 24*x + 124)^2*(x + 18)^3*(x + 2)^4*(x^2 -6*x -8)^4*(x^2 -12*x + 24)^4*(x )^4*(x -10)^10*(x + 6)^12;
T[408,97]=(x + 6)*(x + 2)*(x^2 + 2*x -56)*(x^2 + 6*x -8)*(x + 18)^2*(x -12)^2*(x -16)^2*(x )^2*(x -6)^3*(x + 14)^3*(x + 16)^4*(x^2 -4*x -44)^4*(x^2 + 14*x + 32)^4*(x -14)^9*(x -2)^16;

T[409,2]=(x^13 + 6*x^12 + 2*x^11 -47*x^10 -64*x^9 + 117*x^8 + 226*x^7 -94*x^6 -278*x^5 + 9*x^4 + 134*x^3 + 15*x^2 -22*x -4)*(x^20 -5*x^19 -19*x^18 + 126*x^17 + 100*x^16 -1283*x^15 + 247*x^14 + 6767*x^13 -4554*x^12 -19689*x^11 + 18771*x^10 + 31011*x^9 -35515*x^8 -23548*x^7 + 31466*x^6 + 5354*x^5 -10552*x^4 + 1129*x^3 + 523*x^2 -54*x -4);
T[409,3]=(x^13 + 3*x^12 -15*x^11 -49*x^10 + 62*x^9 + 246*x^8 -55*x^7 -408*x^6 + 38*x^5 + 272*x^4 -51*x^3 -64*x^2 + 22*x -1)*(x^20 -x^19 -43*x^18 + 43*x^17 + 770*x^16 -742*x^15 -7523*x^14 + 6640*x^13 + 44254*x^12 -33176*x^11 -163247*x^10 + 91556*x^9 + 379858*x^8 -121845*x^7 -538772*x^6 + 24992*x^5 + 417136*x^4 + 98080*x^3 -123840*x^2 -64128*x -7936);
T[409,5]=(x^13 + 10*x^12 + 15*x^11 -147*x^10 -503*x^9 + 467*x^8 + 3660*x^7 + 1621*x^6 -9806*x^5 -9811*x^4 + 7795*x^3 + 11811*x^2 + 2790*x -171)*(x^20 -8*x^19 -25*x^18 + 339*x^17 -73*x^16 -5519*x^15 + 7786*x^14 + 43033*x^13 -93848*x^12 -160799*x^11 + 500285*x^10 + 218665*x^9 -1333960*x^8 + 220157*x^7 + 1717578*x^6 -875008*x^5 -838232*x^4 + 649944*x^3 -13040*x^2 -35916*x -2412);
T[409,7]=(x^13 + 9*x^12 -8*x^11 -272*x^10 -526*x^9 + 1605*x^8 + 4612*x^7 -