Sharedwww / Tables / charpoly_s2_t2t3t5_1501-2000.gpOpen in CoCalc
\\ charpoly_s2.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.

{
T=matrix(2000,5,m,n,0);
T[1501,2]=(x^31 -7*x^30 -24*x^29 + 268*x^28 + 67*x^27 -4465*x^26 + 4018*x^25 + 42346*x^24 -67507*x^23 -250231*x^22 + 548955*x^21 + 939752*x^20 -2754161*x^19 -2131336*x^18 + 9141913*x^17 + 2182555*x^16 -20515983*x^15 + 2036864*x^14 + 31041534*x^13 -10116743*x^12 -30987654*x^11 + 14996191*x^10 + 19580991*x^9 -11736016*x^8 -7318785*x^7 + 5089835*x^6 + 1438975*x^5 -1166862*x^4 -115538*x^3 + 123797*x^2 + 1206*x -4356)*(x^26 + 8*x^25 -6*x^24 -200*x^23 -266*x^22 + 2036*x^21 + 4752*x^20 -10636*x^19 -36329*x^18 + 27808*x^17 + 159149*x^16 -15203*x^15 -433747*x^14 -118564*x^13 + 752192*x^12 + 369111*x^11 -822572*x^10 -501727*x^9 + 549911*x^8 + 352833*x^7 -214942*x^6 -121368*x^5 + 46425*x^4 + 16031*x^3 -4677*x^2 -90*x + 12)*(x^33 -6*x^32 -35*x^31 + 268*x^30 + 447*x^29 -5304*x^28 -1449*x^27 + 61352*x^26 -26539*x^25 -460936*x^24 + 399792*x^23 + 2365713*x^22 -2773911*x^21 -8500391*x^20 + 11998059*x^19 + 21573934*x^18 -34936532*x^17 -38564317*x^16 + 70222260*x^15 + 47877473*x^14 -97585403*x^13 -40184523*x^12 + 92304998*x^11 + 21809875*x^10 -57416637*x^9 -7147264*x^8 + 22079604*x^7 + 1294785*x^6 -4699148*x^5 -127353*x^4 + 445443*x^3 + 6576*x^2 -11222*x + 358)*(x^27 + 4*x^26 -30*x^25 -132*x^24 + 374*x^23 + 1886*x^22 -2458*x^21 -15322*x^20 + 8527*x^19 + 78126*x^18 -9453*x^17 -260187*x^16 -42309*x^15 + 570106*x^14 + 208774*x^13 -805275*x^12 -429574*x^11 + 691603*x^10 + 490195*x^9 -311183*x^8 -310952*x^7 + 36024*x^6 + 95325*x^5 + 18269*x^4 -8175*x^3 -3674*x^2 -474*x -18)*(x + 1)^2*(x^5 -6*x^3 + 8*x -1)^2*(x )^2;
T[1501,3]=(x^31 -8*x^30 -32*x^29 + 409*x^28 + 89*x^27 -8943*x^26 + 10610*x^25 + 108332*x^24 -227244*x^23 -779950*x^22 + 2357983*x^21 + 3223412*x^20 -14777549*x^19 -5524518*x^18 + 59364503*x^17 -12394314*x^16 -154825629*x^15 + 92514483*x^14 + 259699803*x^13 -231957957*x^12 -273850366*x^11 + 318747758*x^10 + 174461753*x^9 -257936683*x^8 -63248453*x^7 + 121984236*x^6 + 12750020*x^5 -31845216*x^4 -1993088*x^3 + 4020992*x^2 + 269824*x -145408)*(x^26 + 6*x^25 -30*x^24 -225*x^23 + 339*x^22 + 3645*x^21 -1452*x^20 -33454*x^19 -3844*x^18 + 191404*x^17 + 75953*x^16 -706574*x^15 -407067*x^14 + 1680866*x^13 + 1205777*x^12 -2489088*x^11 -2158325*x^10 + 2098927*x^9 + 2290975*x^8 -773963*x^7 -1310200*x^6 -48058*x^5 + 322631*x^4 + 78839*x^3 -19871*x^2 -8308*x -628)*(x^33 -2*x^32 -70*x^31 + 139*x^30 + 2187*x^29 -4273*x^28 -40366*x^27 + 76730*x^26 + 491308*x^25 -895672*x^24 -4170291*x^23 + 7159390*x^22 + 25463245*x^21 -40223576*x^20 -113669651*x^19 + 160525108*x^18 + 372926457*x^17 -454751671*x^16 -894670063*x^15 + 905618299*x^14 + 1544436614*x^13 -1246571300*x^12 -1864463739*x^11 + 1161726327*x^10 + 1509733177*x^9 -717853448*x^8 -775527152*x^7 + 284803040*x^6 + 232051712*x^5 -66990080*x^4 -34265088*x^3 + 7311360*x^2 + 1572864*x -65536)*(x^27 + 4*x^26 -40*x^25 -171*x^24 + 669*x^23 + 3119*x^22 -6112*x^21 -31892*x^20 + 33596*x^19 + 202122*x^18 -116981*x^17 -828956*x^16 + 275631*x^15 + 2227092*x^14 -508721*x^13 -3865682*x^12 + 860361*x^11 + 4134777*x^10 -1186263*x^9 -2448759*x^8 + 971308*x^7 + 625388*x^6 -327457*x^5 -34431*x^4 + 28711*x^3 + 700*x^2 -816*x -32)*(x + 1)^2*(x + 2)^2*(x^5 -x^4 -12*x^3 + 8*x^2 + 24*x -16)^2;
T[1501,5]=(x^31 -x^30 -89*x^29 + 90*x^28 + 3457*x^27 -3471*x^26 -77377*x^25 + 75554*x^24 + 1110501*x^23 -1029506*x^22 -10761258*x^21 + 9206290*x^20 + 72190345*x^19 -55028420*x^18 -337872912*x^17 + 219294173*x^16 + 1096214637*x^15 -569103501*x^14 -2413608850*x^13 + 912725380*x^12 + 3466670113*x^11 -812864954*x^10 -3048460447*x^9 + 303726482*x^8 + 1492984434*x^7 + 20836447*x^6 -349306656*x^5 -32946699*x^4 + 29810312*x^3 + 4605790*x^2 -201139*x -10486)*(x^26 + 13*x^25 + 11*x^24 -534*x^23 -2010*x^22 + 6990*x^21 + 47342*x^20 -15606*x^19 -500109*x^18 -392562*x^17 + 2901670*x^16 + 3921764*x^15 -10308586*x^14 -17081420*x^13 + 24752002*x^12 + 41941325*x^11 -43742835*x^10 -60240781*x^9 + 57703384*x^8 + 46126473*x^7 -50480928*x^6 -11798669*x^5 + 22205609*x^4 -3529183*x^3 -2145348*x^2 + 681078*x -46419)*(x^33 -10*x^32 -54*x^31 + 829*x^30 + 505*x^29 -29984*x^28 + 32888*x^27 + 622281*x^26 -1306627*x^25 -8165855*x^24 + 23925682*x^23 + 69805060*x^22 -271410201*x^21 -377343125*x^20 + 2071734294*x^19 + 1069764597*x^18 -10952286468*x^17 + 579165740*x^16 + 40167672557*x^15 -18604681220*x^14 -99998057523*x^13 + 79523322713*x^12 + 159833377501*x^11 -179396386163*x^10 -142980606334*x^9 + 230458835993*x^8 + 39150234965*x^7 -154249370557*x^6 + 34348508471*x^5 + 37176946596*x^4 -21241402833*x^3 + 3870039789*x^2 -235372984*x + 446756)*(x^27 + 10*x^26 -28*x^25 -571*x^24 -452*x^23 + 13104*x^22 + 29004*x^21 -152672*x^20 -508635*x^19 + 911789*x^18 + 4591780*x^17 -1983138*x^16 -23929810*x^15 -6939522*x^14 + 73665358*x^13 + 56560051*x^12 -128697546*x^11 -154572852*x^10 + 107088319*x^9 + 208268101*x^8 -5021343*x^7 -131924329*x^6 -47214952*x^5 + 26228426*x^4 + 19509357*x^3 + 2761422*x^2 -478989*x -106299)*(x + 3)^2*(x -3)^2*(x^5 -7*x^4 + 9*x^3 + 27*x^2 -65*x + 31)^2;

T[1502,2]=(x^76 -4*x^75 + 26*x^74 -83*x^73 + 330*x^72 -904*x^71 + 2811*x^70 -6877*x^69 + 18306*x^68 -41012*x^67 + 97789*x^66 -204087*x^65 + 447678*x^64 -881151*x^63 + 1809396*x^62 -3390162*x^61 + 6596925*x^60 -11852081*x^59 + 22052534*x^58 -38211969*x^57 + 68447888*x^56 -114921045*x^55 + 199210300*x^54 -325260019*x^53 + 547781383*x^52 -872204794*x^51 + 1431342958*x^50 -2227158563*x^49 + 3569232818*x^48 -5435429077*x^47 + 8520264192*x^46 -12712411122*x^45 + 19514311238*x^44 -28547264296*x^43 + 42950439842*x^42 -61634378253*x^41 + 90942139545*x^40 -128048817628*x^39 + 185361997400*x^38 -256097635256*x^37 + 363768558180*x^36 -493075026024*x^35 + 687207037472*x^34 -913512457472*x^33 + 1248915919232*x^32 -1627188623616*x^31 + 2181187633152*x^30 -2782939687424*x^29 + 3654894405632*x^28 -4561220737024*x^27 + 5862780755968*x^26 -7145101672448*x^25 + 8974850179072*x^24 -10658120302592*x^23 + 13055446220800*x^22 -15062931210240*x^21 + 17943203151872*x^20 -20034076803072*x^19 + 23123757891584*x^18 -24855615373312*x^17 + 27669508915200*x^16 -28438740074496*x^15 + 30356627521536*x^14 -29566521311232*x^13 + 30043162017792*x^12 -27392093454336*x^11 + 26250034806784*x^10 -22018149842944*x^9 + 19655917830144*x^8 -14768245047296*x^7 + 12073153069056*x^6 -7765300871168*x^5 + 5669356830720*x^4 -2851858284544*x^3 + 1786706395136*x^2 -549755813888*x + 274877906944)*(x^48 + 5*x^47 + 28*x^46 + 99*x^45 + 351*x^44 + 1004*x^43 + 2815*x^42 + 6926*x^41 + 16623*x^40 + 36408*x^39 + 77817*x^38 + 155098*x^37 + 302345*x^36 + 557061*x^35 + 1006857*x^34 + 1735977*x^33 + 2945992*x^32 + 4801720*x^31 + 7729674*x^30 + 12014242*x^29 + 18502435*x^28 + 27622316*x^27 + 40964789*x^26 + 59043442*x^25 + 84661784*x^24 + 118086884*x^23 + 163859156*x^22 + 220978528*x^21 + 296038960*x^20 + 384455744*x^19 + 494699136*x^18 + 614620160*x^17 + 754173952*x^16 + 888820224*x^15 + 1031021568*x^14 + 1140860928*x^13 + 1238405120*x^12 + 1270562816*x^11 + 1274953728*x^10 + 1193017344*x^9 + 1089404928*x^8 + 907804672*x^7 + 737935360*x^6 + 526385152*x^5 + 368050176*x^4 + 207618048*x^3 + 117440512*x^2 + 41943040*x + 16777216)*(x -1)^31*(x + 1)^32;
T[1502,3]=(x + 2)*(x -1)*(x^2 + x -1)*(x^2 -5)*(x^16 -13*x^15 + 50*x^14 + 46*x^13 -780*x^12 + 1392*x^11 + 2373*x^10 -9650*x^9 + 3408*x^8 + 18242*x^7 -15801*x^6 -13114*x^5 + 13672*x^4 + 4781*x^3 -3286*x^2 -584*x + 127)*(x^11 + 4*x^10 -10*x^9 -48*x^8 + 27*x^7 + 186*x^6 -11*x^5 -253*x^4 + 6*x^3 + 111*x^2 -15*x -1)*(x^11 + 11*x^10 + 35*x^9 -22*x^8 -312*x^7 -406*x^6 + 430*x^5 + 1097*x^4 + 212*x^3 -509*x^2 -132*x + 47)*(x^19 -6*x^18 -23*x^17 + 190*x^16 + 128*x^15 -2394*x^14 + 749*x^13 + 15539*x^12 -11338*x^11 -56744*x^10 + 50183*x^9 + 120237*x^8 -102992*x^7 -148539*x^6 + 99519*x^5 + 104388*x^4 -41081*x^3 -35733*x^2 + 5542*x + 4222)*(x^24 + 8*x^23 -4*x^22 -182*x^21 -269*x^20 + 1592*x^19 + 3926*x^18 -6655*x^17 -24381*x^16 + 12247*x^15 + 83926*x^14 + 1182*x^13 -174878*x^12 -45174*x^11 + 230383*x^10 + 81057*x^9 -195861*x^8 -66587*x^7 + 106410*x^6 + 26330*x^5 -34441*x^4 -3554*x^3 + 5288*x^2 -268*x -100)^2*(x^38 -6*x^37 -70*x^36 + 474*x^35 + 2113*x^34 -16950*x^33 -35008*x^32 + 363057*x^31 + 318713*x^30 -5195319*x^29 -900698*x^28 + 52465786*x^27 -15118294*x^26 -385228402*x^25 + 234468715*x^24 + 2089526443*x^23 -1750064831*x^22 -8433714757*x^21 + 8431260798*x^20 + 25374723738*x^19 -28058308605*x^18 -56837792706*x^17 + 65678669326*x^16 + 94565431554*x^15 -107739808100*x^14 -116575895844*x^13 + 121330197588*x^12 + 105852699152*x^11 -89810410992*x^10 -69277754624*x^9 + 39915704704*x^8 + 30650344704*x^7 -8399285248*x^6 -7821895168*x^5 + 56994816*x^4 + 744101888*x^3 + 123748352*x^2 + 5382144*x + 16384)^2;
T[1502,5]=(x^2 + 3*x + 1)*(x^11 -x^10 -26*x^9 + 30*x^8 + 189*x^7 -169*x^6 -552*x^5 + 257*x^4 + 636*x^3 -46*x^2 -144*x + 17)*(x^11 + 12*x^10 + 35*x^9 -113*x^8 -822*x^7 -1129*x^6 + 2194*x^5 + 8443*x^4 + 10105*x^3 + 5610*x^2 + 1445*x + 139)*(x^16 -4*x^15 -44*x^14 + 189*x^13 + 669*x^12 -3344*x^11 -3650*x^10 + 27198*x^9 -2031*x^8 -99219*x^7 + 69144*x^6 + 130771*x^5 -128071*x^4 -52331*x^3 + 55782*x^2 + 9828*x -4104)*(x^19 -2*x^18 -64*x^17 + 119*x^16 + 1685*x^15 -2936*x^14 -23650*x^13 + 39164*x^12 + 191703*x^11 -307853*x^10 -907658*x^9 + 1448759*x^8 + 2403291*x^7 -3932551*x^6 -3128876*x^5 + 5542868*x^4 + 1342688*x^3 -3176464*x^2 + 272768*x + 198336)*(x -1)^2*(x -2)^2*(x^24 + 16*x^23 + 64*x^22 -278*x^21 -2724*x^20 -2822*x^19 + 31712*x^18 + 90678*x^17 -131039*x^16 -788713*x^15 -119038*x^14 + 3405177*x^13 + 2896126*x^12 -8261827*x^11 -10745047*x^10 + 11888161*x^9 + 19769450*x^8 -10640216*x^7 -20186494*x^6 + 6505944*x^5 + 10984637*x^4 -2943668*x^3 -2499600*x^2 + 722656*x + 19904)^2*(x^38 -18*x^37 + 41*x^36 + 1128*x^35 -7162*x^34 -21850*x^33 + 295809*x^32 -126502*x^31 -6234453*x^30 + 13433111*x^29 + 76414678*x^28 -285330670*x^27 -526356069*x^26 + 3413944122*x^25 + 1155775666*x^24 -26558020605*x^23 + 13668220671*x^22 + 140550308626*x^21 -157513710355*x^20 -511044626618*x^19 + 844932673131*x^18 + 1259813746123*x^17 -2834441442081*x^16 -2022920896972*x^15 + 6336029067311*x^14 + 1925611672018*x^13 -9547242616638*x^12 -799620272297*x^11 + 9540420794498*x^10 -167566546202*x^9 -6021061530461*x^8 + 226005136918*x^7 + 2148964767153*x^6 -26167981988*x^5 -335585456328*x^4 + 5047834332*x^3 + 15593016600*x^2 -1673194160*x + 34238992)^2;

T[1503,2]=(x + 1)*(x^8 -3*x^7 -10*x^6 + 34*x^5 + 17*x^4 -100*x^3 + 43*x^2 + 21*x -7)*(x^14 -6*x^13 -4*x^12 + 82*x^11 -72*x^10 -394*x^9 + 586*x^8 + 766*x^7 -1589*x^6 -364*x^5 + 1665*x^4 -406*x^3 -440*x^2 + 162*x + 9)*(x^14 + 6*x^13 -4*x^12 -82*x^11 -72*x^10 + 394*x^9 + 586*x^8 -766*x^7 -1589*x^6 + 364*x^5 + 1665*x^4 + 406*x^3 -440*x^2 -162*x + 9)*(x^2 -x -1)*(x^5 -5*x^3 + 4*x -1)*(x^8 + 3*x^7 -8*x^6 -28*x^5 + 9*x^4 + 64*x^3 + 17*x^2 -23*x + 1)*(x^5 -4*x^4 + x^3 + 8*x^2 -2*x -3)*(x^12 + 2*x^11 -17*x^10 -33*x^9 + 103*x^8 + 189*x^7 -277*x^6 -447*x^5 + 363*x^4 + 433*x^3 -205*x^2 -120*x + 9)*(x -1)^2*(x^5 -5*x^3 + 4*x + 1)^2*(x^8 -3*x^7 -8*x^6 + 28*x^5 + 9*x^4 -64*x^3 + 17*x^2 + 23*x + 1)^2*(x^5 + 4*x^4 + x^3 -8*x^2 -2*x + 3)^2*(x^8 + 3*x^7 -10*x^6 -34*x^5 + 17*x^4 + 100*x^3 + 43*x^2 -21*x -7)^2*(x^2 + x -1)^3*(x^12 -2*x^11 -17*x^10 + 33*x^9 + 103*x^8 -189*x^7 -277*x^6 + 447*x^5 + 363*x^4 -433*x^3 -205*x^2 + 120*x + 9)^3;
T[1503,3]=(x^4 + x^3 + 5*x^2 + 3*x + 9)*(x^24 -3*x^23 + 14*x^22 -28*x^21 + 79*x^20 -120*x^19 + 267*x^18 -376*x^17 + 859*x^16 -1572*x^15 + 3591*x^14 -6916*x^13 + 12959*x^12 -20748*x^11 + 32319*x^10 -42444*x^9 + 69579*x^8 -91368*x^7 + 194643*x^6 -262440*x^5 + 518319*x^4 -551124*x^3 + 826686*x^2 -531441*x + 531441)*(x -1)^13*(x + 1)^14*(x )^110;
T[1503,5]=(x -4)*(x^8 + x^7 -21*x^6 -18*x^5 + 91*x^4 + 117*x^3 -18*x^2 -48*x -2)*(x^14 + 12*x^13 + 31*x^12 -140*x^11 -705*x^10 + 214*x^9 + 4664*x^8 + 2078*x^7 -15073*x^6 -9186*x^5 + 26865*x^4 + 13588*x^3 -25468*x^2 -6666*x + 9738)*(x^14 -12*x^13 + 31*x^12 + 140*x^11 -705*x^10 -214*x^9 + 4664*x^8 -2078*x^7 -15073*x^6 + 9186*x^5 + 26865*x^4 -13588*x^3 -25468*x^2 + 6666*x + 9738)*(x^5 -x^4 -9*x^3 + 2*x^2 + 17*x + 1)*(x^8 + 7*x^7 + 7*x^6 -50*x^5 -125*x^4 -9*x^3 + 196*x^2 + 124*x -18)*(x^5 -9*x^4 + 25*x^3 -12*x^2 -39*x + 37)*(x^12 + 4*x^11 -41*x^10 -152*x^9 + 648*x^8 + 2136*x^7 -4816*x^6 -13568*x^5 + 15616*x^4 + 37632*x^3 -12544*x^2 -33792*x -9216)*(x -1)^2*(x + 4)^2*(x^8 -x^7 -21*x^6 + 18*x^5 + 91*x^4 -117*x^3 -18*x^2 + 48*x -2)^2*(x^5 + 9*x^4 + 25*x^3 + 12*x^2 -39*x -37)^2*(x^5 + x^4 -9*x^3 -2*x^2 + 17*x -1)^2*(x^8 -7*x^7 + 7*x^6 + 50*x^5 -125*x^4 + 9*x^3 + 196*x^2 -124*x -18)^2*(x^12 -4*x^11 -41*x^10 + 152*x^9 + 648*x^8 -2136*x^7 -4816*x^6 + 13568*x^5 + 15616*x^4 -37632*x^3 -12544*x^2 + 33792*x -9216)^3*(x + 1)^6;

T[1504,2]=(x -1)*(x^8 -x^7 + 3*x^6 -x^5 + 3*x^4 -2*x^3 + 12*x^2 -8*x + 16)*(x + 1)^2*(x )^174;
T[1504,3]=(x^4 + 2*x^3 -3*x^2 -4*x + 1)*(x^4 -2*x^3 -3*x^2 + 4*x + 1)*(x^5 -11*x^3 + 23*x -12)*(x^5 -11*x^3 + 23*x + 12)*(x^6 + 4*x^5 -3*x^4 -20*x^3 + 3*x^2 + 24*x -8)*(x^6 -4*x^5 -3*x^4 + 20*x^3 + 3*x^2 -24*x -8)*(x^8 -2*x^7 -19*x^6 + 32*x^5 + 105*x^4 -124*x^3 -184*x^2 + 96*x + 64)*(x^8 + 2*x^7 -19*x^6 -32*x^5 + 105*x^4 + 124*x^3 -184*x^2 -96*x + 64)*(x^2 -3*x + 1)^2*(x^4 + 3*x^3 -5*x^2 -16*x -8)^2*(x^4 -x^3 -9*x^2 + 4*x + 16)^2*(x^2 + x -3)^2*(x^4 -7*x^2 -4*x + 1)^2*(x^4 -3*x^3 -5*x^2 + 16*x -8)^3*(x^4 + x^3 -9*x^2 -4*x + 16)^3*(x^2 + 3*x + 1)^4*(x^2 -x -3)^4*(x^2 -x -1)^4*(x^2 + x -1)^6*(x^4 -7*x^2 + 4*x + 1)^6*(x^2 -8)^7*(x )^9;
T[1504,5]=(x^8 -6*x^7 -10*x^6 + 100*x^5 -8*x^4 -536*x^3 + 280*x^2 + 912*x -560)^2*(x^5 -2*x^4 -12*x^3 + 20*x^2 + 28*x -32)^2*(x^6 + 2*x^5 -18*x^4 -24*x^3 + 52*x^2 + 40*x -8)^2*(x^2 + 2*x -2)^4*(x^4 -14*x^2 + 8)^5*(x^2 -4*x + 2)^7*(x^4 + 2*x^3 -16*x^2 -16*x + 48)^8*(x^2 -2*x -4)^10*(x^2 + 2*x -4)^11*(x + 2)^12*(x )^19;

T[1505,2]=(x^11 + 2*x^10 -16*x^9 -30*x^8 + 90*x^7 + 153*x^6 -219*x^5 -321*x^4 + 237*x^3 + 285*x^2 -93*x -85)*(x^14 -3*x^13 -18*x^12 + 56*x^11 + 118*x^10 -387*x^9 -350*x^8 + 1228*x^7 + 498*x^6 -1824*x^5 -356*x^4 + 1148*x^3 + 111*x^2 -230*x -24)*(x^7 -10*x^5 + 29*x^3 -3*x^2 -23*x + 9)*(x^7 + 2*x^6 -6*x^5 -10*x^4 + 9*x^3 + 13*x^2 -x -1)*(x^8 -10*x^6 + 31*x^4 + x^3 -31*x^2 -5*x + 6)*(x^8 + 4*x^7 -2*x^6 -22*x^5 -13*x^4 + 23*x^3 + 17*x^2 -5*x -4)*(x^11 -6*x^10 + 56*x^8 -60*x^7 -173*x^6 + 253*x^5 + 171*x^4 -309*x^3 + 23*x^2 + 35*x -3)*(x^15 + 2*x^14 -25*x^13 -48*x^12 + 244*x^11 + 443*x^10 -1179*x^9 -1968*x^8 + 2972*x^7 + 4304*x^6 -3842*x^5 -4244*x^4 + 2359*x^3 + 1447*x^2 -482*x -16)*(x^2 + x -4)^2*(x^3 + 2*x^2 -3*x -3)^2*(x^4 + 4*x^3 + 2*x^2 -5*x -3)^2*(x^5 -6*x^3 + x^2 + 5*x -2)^2*(x^5 -x^4 -6*x^3 + 5*x^2 + 6*x -1)^2*(x^7 -4*x^6 -3*x^5 + 25*x^4 -13*x^3 -23*x^2 + 11*x + 2)^2*(x^5 -2*x^4 -7*x^3 + 13*x^2 + 5*x -4)^2*(x^6 -3*x^5 -5*x^4 + 17*x^3 + 3*x^2 -17*x -3)^2*(x^2 -2)^4*(x + 2)^5*(x )^5;
T[1505,3]=(x^11 -x^10 -22*x^9 + 16*x^8 + 180*x^7 -77*x^6 -660*x^5 + 67*x^4 + 993*x^3 + 234*x^2 -327*x -115)*(x^14 -8*x^13 + 3*x^12 + 122*x^11 -240*x^10 -573*x^9 + 1763*x^8 + 723*x^7 -4734*x^6 + 661*x^5 + 4927*x^4 -844*x^3 -2167*x^2 + 182*x + 328)*(x^7 + 9*x^6 + 27*x^5 + 23*x^4 -24*x^3 -35*x^2 + 5*x + 7)*(x^8 -12*x^6 + 49*x^4 -x^3 -78*x^2 + 4*x + 39)*(x^7 + x^6 -13*x^5 -11*x^4 + 42*x^3 + 37*x^2 -35*x -31)*(x^8 + 5*x^7 -x^6 -33*x^5 -30*x^4 + 33*x^3 + 51*x^2 + 19*x + 2)*(x^11 -7*x^10 + 4*x^9 + 62*x^8 -92*x^7 -187*x^6 + 336*x^5 + 215*x^4 -409*x^3 -46*x^2 + 133*x -7)*(x^15 + 4*x^14 -27*x^13 -118*x^12 + 254*x^11 + 1305*x^10 -897*x^9 -6641*x^8 + 378*x^7 + 15541*x^6 + 2431*x^5 -15850*x^4 -2009*x^3 + 5174*x^2 -848*x + 32)*(x^2 + x -4)^2*(x^3 -x^2 -4*x + 1)^2*(x^4 + 3*x^3 -2*x^2 -4*x -1)^2*(x^5 -5*x^4 + 2*x^3 + 18*x^2 -15*x -8)^2*(x^5 + 3*x^4 -6*x^3 -18*x^2 + x + 2)^2*(x^7 -x^6 -14*x^5 + 16*x^4 + 43*x^3 -54*x^2 -24*x + 32)^2*(x^5 + x^4 -16*x^3 -7*x^2 + 64*x -16)^2*(x^6 -4*x^5 -5*x^4 + 30*x^3 -20*x^2 + 1)^2*(x )^2*(x -1)^3*(x^2 -2)^4*(x + 2)^5;
T[1505,5]=(x^8 + 4*x^7 + 20*x^6 + 53*x^5 + 153*x^4 + 265*x^3 + 500*x^2 + 500*x + 625)*(x^10 + 6*x^9 + 25*x^8 + 71*x^7 + 183*x^6 + 406*x^5 + 915*x^4 + 1775*x^3 + 3125*x^2 + 3750*x + 3125)*(x^10 -4*x^9 + 21*x^8 -65*x^7 + 207*x^6 -446*x^5 + 1035*x^4 -1625*x^3 + 2625*x^2 -2500*x + 3125)*(x^14 + 19*x^12 + 9*x^11 + 182*x^10 + 126*x^9 + 1218*x^8 + 826*x^7 + 6090*x^6 + 3150*x^5 + 22750*x^4 + 5625*x^3 + 59375*x^2 + 78125)*(x^2 + 4*x + 5)^2*(x^4 -4*x^3 + 12*x^2 -20*x + 25)^2*(x + 1)^58*(x -1)^61;

T[1506,2]=(x^2 -2*x + 2)*(x^12 -2*x^11 + 6*x^10 -11*x^9 + 24*x^8 -34*x^7 + 57*x^6 -68*x^5 + 96*x^4 -88*x^3 + 96*x^2 -64*x + 64)*(x^18 + 6*x^16 + x^15 + 22*x^14 + 6*x^13 + 63*x^12 + 18*x^11 + 150*x^10 + 44*x^9 + 300*x^8 + 72*x^7 + 504*x^6 + 96*x^5 + 704*x^4 + 64*x^3 + 768*x^2 + 512)*(x^4 + 2*x^2 + 4)*(x^8 -2*x^7 + 3*x^6 -2*x^5 + 2*x^4 -4*x^3 + 12*x^2 -16*x + 16)*(x^12 + 6*x^11 + 20*x^10 + 49*x^9 + 98*x^8 + 168*x^7 + 253*x^6 + 336*x^5 + 392*x^4 + 392*x^3 + 320*x^2 + 192*x + 64)*(x^22 + 3*x^21 + 9*x^20 + 18*x^19 + 35*x^18 + 55*x^17 + 88*x^16 + 131*x^15 + 205*x^14 + 307*x^13 + 472*x^12 + 668*x^11 + 944*x^10 + 1228*x^9 + 1640*x^8 + 2096*x^7 + 2816*x^6 + 3520*x^5 + 4480*x^4 + 4608*x^3 + 4608*x^2 + 3072*x + 2048)*(x^2 + 2)^2*(x^34 -2*x^33 + 6*x^32 -10*x^31 + 21*x^30 -30*x^29 + 55*x^28 -94*x^27 + 176*x^26 -296*x^25 + 479*x^24 -744*x^23 + 1058*x^22 -1560*x^21 + 2300*x^20 -3648*x^19 + 5416*x^18 -8000*x^17 + 10832*x^16 -14592*x^15 + 18400*x^14 -24960*x^13 + 33856*x^12 -47616*x^11 + 61312*x^10 -75776*x^9 + 90112*x^8 -96256*x^7 + 112640*x^6 -122880*x^5 + 172032*x^4 -163840*x^3 + 196608*x^2 -131072*x + 131072)^2*(x^4 + x^3 + 3*x^2 + 2*x + 4)^4*(x + 1)^41*(x -1)^42;
T[1506,3]=(x^10 -2*x^9 + 6*x^8 -10*x^7 + 25*x^6 -32*x^5 + 75*x^4 -90*x^3 + 162*x^2 -162*x + 243)*(x^10 + x^9 + 8*x^8 + 8*x^7 + 33*x^6 + 29*x^5 + 99*x^4 + 72*x^3 + 216*x^2 + 81*x + 243)*(x^12 -x^11 + 2*x^10 -6*x^9 + 17*x^8 -17*x^7 + 32*x^6 -51*x^5 + 153*x^4 -162*x^3 + 162*x^2 -243*x + 729)*(x^34 + 13*x^32 + 5*x^31 + 96*x^30 + 68*x^29 + 546*x^28 + 428*x^27 + 2687*x^26 + 1862*x^25 + 11307*x^24 + 6854*x^23 + 41095*x^22 + 22552*x^21 + 136637*x^20 + 64016*x^19 + 433839*x^18 + 180530*x^17 + 1301517*x^16 + 576144*x^15 + 3689199*x^14 + 1826712*x^13 + 9986085*x^12 + 4996566*x^11 + 24728409*x^10 + 12216582*x^9 + 52888221*x^8 + 25272972*x^7 + 96722262*x^6 + 36137988*x^5 + 153055008*x^4 + 23914845*x^3 + 186535791*x^2 + 129140163)^2*(x^2 -x + 3)^2*(x^2 + x + 3)^2*(x^8 + 2*x^7 + 10*x^6 + 15*x^5 + 43*x^4 + 45*x^3 + 90*x^2 + 54*x + 81)^2*(x -1)^62*(x + 1)^63;
T[1506,5]=(x -4)*(x + 4)*(x + 1)*(x^2 -3)*(x^4 -2*x^3 -6*x^2 + 2*x + 1)*(x^5 -2*x^4 -27*x^3 + 56*x^2 + 172*x -360)*(x^6 -6*x^5 + 44*x^3 -25*x^2 -74*x -8)*(x^5 -2*x^4 -13*x^3 + 24*x^2 + 36*x -56)*(x^5 + 8*x^4 + 17*x^3 -20*x -8)*(x^6 + 2*x^5 -21*x^4 -24*x^3 + 132*x^2 + 72*x -256)*(x + 3)^2*(x^2 -5*x + 3)^2*(x^2 + 6*x + 7)^2*(x^4 -4*x^3 -3*x^2 + 16*x + 4)^2*(x^6 + 4*x^5 -6*x^4 -44*x^3 -63*x^2 -32*x -5)^2*(x^6 -10*x^4 + 25*x^2 -4*x -13)^2*(x^9 -x^8 -23*x^7 + 11*x^6 + 137*x^5 + 17*x^4 -238*x^3 -80*x^2 + 119*x + 53)^2*(x^11 + 4*x^10 -29*x^9 -118*x^8 + 277*x^7 + 1158*x^6 -1066*x^5 -4594*x^4 + 1553*x^3 + 7066*x^2 -316*x -3064)^2*(x^5 + 6*x^4 + 6*x^3 -18*x^2 -25*x + 7)^2*(x^2 + 3*x + 1)^2*(x^5 -7*x^4 + 9*x^3 + 24*x^2 -52*x + 24)^2*(x^6 + x^5 -14*x^4 -3*x^3 + 44*x^2 -36*x + 8)^2*(x )^2*(x -3)^4*(x^4 + 3*x^3 -2*x^2 -2*x + 1)^4*(x^17 -3*x^16 -54*x^15 + 168*x^14 + 1118*x^13 -3641*x^12 -11152*x^11 + 38721*x^10 + 56108*x^9 -215683*x^8 -141507*x^7 + 649211*x^6 + 155977*x^5 -1041793*x^4 -22991*x^3 + 813550*x^2 -51713*x -228857)^4*(x -1)^5;

T[1507,2]=(x -1)*(x + 1)*(x^2 + x -1)*(x^27 -7*x^26 -17*x^25 + 219*x^24 -60*x^23 -2883*x^22 + 3784*x^21 + 20517*x^20 -42015*x^19 -82933*x^18 + 243012*x^17 + 169652*x^16 -842572*x^15 -21907*x^14 + 1796095*x^13 -735352*x^12 -2266762*x^11 + 1737296*x^10 + 1468732*x^9 -1821723*x^8 -214623*x^7 + 885879*x^6 -227246*x^5 -135294*x^4 + 81853*x^3 -14453*x^2 + 872*x -16)*(x^31 -6*x^30 -32*x^29 + 254*x^28 + 336*x^27 -4709*x^26 + 231*x^25 + 50227*x^24 -39153*x^23 -340353*x^22 + 435708*x^21 + 1525027*x^20 -2608074*x^19 -4544327*x^18 + 9928773*x^17 + 8740893*x^16 -25261336*x^15 -9755783*x^14 + 43478348*x^13 + 3571932*x^12 -50189142*x^11 + 5355784*x^10 + 37853601*x^9 -8143269*x^8 -17798113*x^7 + 4610414*x^6 + 4804238*x^5 -1187954*x^4 -618533*x^3 + 117710*x^2 + 19515*x -2080)*(x^23 + 2*x^22 -32*x^21 -59*x^20 + 441*x^19 + 735*x^18 -3424*x^17 -5036*x^16 + 16427*x^15 + 20680*x^14 -50197*x^13 -51883*x^12 + 97108*x^11 + 77316*x^10 -114565*x^9 -62617*x^8 + 76576*x^7 + 22177*x^6 -25303*x^5 -1797*x^4 + 2725*x^3 + 21*x^2 -56*x + 3)*(x^27 + 7*x^26 -18*x^25 -226*x^24 -47*x^23 + 3068*x^22 + 3842*x^21 -22670*x^20 -44333*x^19 + 97522*x^18 + 265047*x^17 -233065*x^16 -960176*x^15 + 201261*x^14 + 2199313*x^13 + 428475*x^12 -3172511*x^11 -1506952*x^10 + 2751766*x^9 + 1954665*x^8 -1264593*x^7 -1274402*x^6 + 188113*x^5 + 393857*x^4 + 43955*x^3 -41357*x^2 -10545*x -361)*(x )*(x + 2)^2*(x^4 + 3*x^3 -4*x -1)^2*(x^7 -10*x^5 + 28*x^3 + 3*x^2 -19*x -7)^2;
T[1507,3]=(x^2 + 3*x + 1)*(x^27 -3*x^26 -52*x^25 + 157*x^24 + 1175*x^23 -3585*x^22 -15123*x^21 + 46905*x^20 + 122066*x^19 -388341*x^18 -640803*x^17 + 2121871*x^16 + 2192347*x^15 -7754261*x^14 -4735147*x^13 + 18851099*x^12 + 5849478*x^11 -29843300*x^10 -2676690*x^9 + 29529911*x^8 -2274231*x^7 -16930304*x^6 + 3423242*x^5 + 4804757*x^4 -1346339*x^3 -453721*x^2 + 102376*x + 17324)*(x^31 -11*x^30 -6*x^29 + 475*x^28 -1067*x^27 -8181*x^26 + 31683*x^25 + 67565*x^24 -428394*x^23 -191321*x^22 + 3399051*x^21 -1263893*x^20 -17220763*x^19 + 14816183*x^18 + 57893299*x^17 -68731731*x^16 -132076146*x^15 + 186192434*x^14 + 208795840*x^13 -318437709*x^12 -234931711*x^11 + 348848174*x^10 + 192851158*x^9 -239988553*x^8 -114816469*x^7 + 97921483*x^6 + 46660112*x^5 -20521782*x^4 -11320952*x^3 + 1200624*x^2 + 1209688*x + 149296)*(x^23 + 10*x^22 + 5*x^21 -248*x^20 -626*x^19 + 2265*x^18 + 9164*x^17 -8276*x^16 -62678*x^15 -1779*x^14 + 239844*x^13 + 109630*x^12 -546259*x^11 -358370*x^10 + 759582*x^9 + 541367*x^8 -645373*x^7 -429724*x^6 + 323247*x^5 + 179310*x^4 -86248*x^3 -36286*x^2 + 9232*x + 2775)*(x^27 + 5*x^26 -38*x^25 -217*x^24 + 569*x^23 + 4007*x^22 -4053*x^21 -41467*x^20 + 10126*x^19 + 266339*x^18 + 48331*x^17 -1110381*x^16 -477763*x^15 + 3051943*x^14 + 1740779*x^13 -5497591*x^12 -3480626*x^11 + 6306226*x^10 + 3994264*x^9 -4326517*x^8 -2504175*x^7 + 1561958*x^6 + 734474*x^5 -229245*x^4 -60789*x^3 + 12635*x^2 + 1424*x -242)*(x )*(x + 1)^2*(x -2)^2*(x^4 + 5*x^3 + 4*x^2 -10*x -11)^2*(x^7 -3*x^6 -8*x^5 + 26*x^4 + 11*x^3 -58*x^2 + 16*x + 14)^2;
T[1507,5]=(x -2)*(x^2 + 3*x + 1)*(x^27 -24*x^26 + 206*x^25 -453*x^24 -4089*x^23 + 27875*x^22 -19472*x^21 -346785*x^20 + 1028545*x^19 + 1245042*x^18 -10063321*x^17 + 6687537*x^16 + 45028243*x^15 -79536681*x^14 -87896891*x^13 + 318184564*x^12 -21366292*x^11 -643414530*x^10 + 425119751*x^9 + 641039862*x^8 -769442948*x^7 -193650110*x^6 + 565895094*x^5 -127691345*x^4 -134774249*x^3 + 75846377*x^2 -12284708*x + 416564)*(x^31 -22*x^30 + 140*x^29 + 361*x^28 -7941*x^27 + 20811*x^26 + 129234*x^25 -767655*x^24 -287057*x^23 + 10629276*x^22 -15160579*x^21 -72366317*x^20 + 206688373*x^19 + 208925819*x^18 -1257561103*x^17 + 223449698*x^16 + 4111470222*x^15 -3310711134*x^14 -7124847977*x^13 + 9054673366*x^12 + 5669925998*x^11 -10526912260*x^10 -1249088796*x^9 + 5046524829*x^8 -58872555*x^7 -996718243*x^6 -2299564*x^5 + 69612924*x^4 + 1011824*x^3 -1284688*x^2 -16192*x + 3904)*(x^23 + 21*x^22 + 150*x^21 + 164*x^20 -3235*x^19 -14888*x^18 + 5087*x^17 + 183518*x^16 + 316100*x^15 -789368*x^14 -2914505*x^13 + 70676*x^12 + 10499368*x^11 + 8770639*x^10 -16901368*x^9 -24777391*x^8 + 10570861*x^7 + 28303190*x^6 + 159480*x^5 -14645892*x^4 -1869992*x^3 + 3346498*x^2 + 348628*x -241215)*(x^27 + 18*x^26 + 80*x^25 -399*x^24 -4165*x^23 -3089*x^22 + 67834*x^21 + 173545*x^20 -482717*x^19 -2176280*x^18 + 1092581*x^17 + 13620875*x^16 + 5407273*x^15 -47994789*x^14 -42977075*x^13 + 96372714*x^12 + 120114190*x^11 -105060182*x^10 -165127409*x^9 + 56669082*x^8 + 112106738*x^7 -15884392*x^6 -36639632*x^5 + 3128157*x^4 + 4961173*x^3 -424167*x^2 -147604*x + 13252)*(x -1)^2*(x + 2)^2*(x^4 + 2*x^3 -12*x^2 -23*x + 1)^2*(x^7 + 2*x^6 -18*x^5 -21*x^4 + 103*x^3 + 26*x^2 -188*x + 88)^2;

T[1508,2]=(x^10 + 3*x^9 + 7*x^8 + 11*x^7 + 14*x^6 + 19*x^5 + 28*x^4 + 44*x^3 + 56*x^2 + 48*x + 32)*(x^2 -x + 2)*(x^10 + x^9 + 5*x^8 + 5*x^7 + 16*x^6 + 13*x^5 + 32*x^4 + 20*x^3 + 40*x^2 + 16*x + 32)*(x^4 + x^2 + 4)*(x^14 -3*x^13 + 6*x^12 -10*x^11 + 13*x^10 -8*x^9 + 3*x^7 -32*x^5 + 104*x^4 -160*x^3 + 192*x^2 -192*x + 128)*(x^18 -x^17 + 5*x^16 -3*x^15 + 13*x^14 -6*x^13 + 31*x^12 -23*x^11 + 82*x^10 -63*x^9 + 164*x^8 -92*x^7 + 248*x^6 -96*x^5 + 416*x^4 -192*x^3 + 640*x^2 -256*x + 512)*(x^4 + 2*x^3 + 3*x^2 + 4*x + 4)^2*(x + 1)^17*(x -1)^18*(x )^104;
T[1508,3]=(x^5 + 2*x^4 -7*x^3 -12*x^2 + 6*x + 1)*(x^5 + 2*x^4 -5*x^3 -8*x^2 + 6*x + 7)*(x^9 -2*x^8 -19*x^7 + 32*x^6 + 118*x^5 -131*x^4 -312*x^3 + 96*x^2 + 336*x + 128)*(x^9 -2*x^8 -17*x^7 + 28*x^6 + 90*x^5 -109*x^4 -172*x^3 + 128*x^2 + 72*x -28)*(x + 2)^2*(x -2)^2*(x^2 -2*x -4)^2*(x^4 -11*x^2 + 2*x + 20)^2*(x^5 -3*x^4 -8*x^3 + 26*x^2 -4*x -8)^2*(x^4 -2*x^3 -5*x^2 + 8*x + 2)^2*(x^2 -2*x -2)^3*(x^5 + 4*x^4 + x^3 -6*x^2 + 1)^3*(x^7 -2*x^6 -11*x^5 + 16*x^4 + 30*x^3 -33*x^2 -6*x + 2)^3*(x^5 + 4*x^4 -5*x^3 -30*x^2 -16*x + 7)^3*(x^9 -19*x^7 + 6*x^6 + 120*x^5 -59*x^4 -304*x^3 + 184*x^2 + 264*x -184)^3*(x^3 -x^2 -6*x + 4)^4*(x )^5*(x^2 -2*x -1)^6*(x + 1)^8*(x + 3)^10*(x -1)^12;
T[1508,5]=(x^5 + 6*x^4 + 8*x^3 -5*x^2 -10*x -3)*(x^5 + 2*x^4 -6*x^3 -11*x^2 + 6*x + 9)*(x^9 + 2*x^8 -34*x^7 -55*x^6 + 398*x^5 + 477*x^4 -1856*x^3 -1352*x^2 + 2656*x + 400)*(x^9 -2*x^8 -28*x^7 + 47*x^6 + 206*x^5 -191*x^4 -536*x^3 + 232*x^2 + 448*x -48)*(x -2)^2*(x^2 + 4*x + 1)^2*(x^4 + 2*x^3 -13*x^2 -20*x -4)^2*(x^5 -6*x^4 + 31*x^2 + 4*x -4)^2*(x^6 -3*x^5 -20*x^4 + 67*x^3 + 69*x^2 -336*x + 196)^2*(x^2 -x -1)^2*(x^4 -7*x^3 + 12*x^2 + x -9)^2*(x^2 -12)^3*(x^5 + 2*x^4 -10*x^3 -11*x^2 + 10*x + 9)^3*(x^7 + 2*x^6 -18*x^5 -7*x^4 + 106*x^3 -111*x^2 -8*x + 36)^3*(x^5 -2*x^4 -12*x^3 + 27*x^2 + 2*x -3)^3*(x^9 -2*x^8 -24*x^7 + 39*x^6 + 178*x^5 -247*x^4 -400*x^3 + 536*x^2 + 32*x -48)^3*(x -3)^6*(x -1)^6*(x + 2)^7*(x + 3)^10*(x + 1)^16;

T[1509,2]=(x^14 + x^13 -18*x^12 -20*x^11 + 121*x^10 + 150*x^9 -363*x^8 -514*x^7 + 420*x^6 + 755*x^5 -14*x^4 -303*x^3 -72*x^2 + 11*x + 3)*(x^26 + 3*x^25 -40*x^24 -122*x^23 + 692*x^22 + 2157*x^21 -6785*x^20 -21774*x^19 + 41516*x^18 + 138628*x^17 -164551*x^16 -580675*x^15 + 424668*x^14 + 1621053*x^13 -699062*x^12 -2991931*x^11 + 698001*x^10 + 3545874*x^9 -385042*x^8 -2543679*x^7 + 104472*x^6 + 985562*x^5 -22241*x^4 -162587*x^3 + 7866*x^2 + 7363*x -263)*(x^13 + 4*x^12 -10*x^11 -48*x^10 + 41*x^9 + 221*x^8 -108*x^7 -466*x^6 + 220*x^5 + 381*x^4 -233*x^3 + 14*x -1)*(x^24 -5*x^23 -27*x^22 + 163*x^21 + 277*x^20 -2276*x^19 -1156*x^18 + 17828*x^17 -842*x^16 -86162*x^15 + 29077*x^14 + 266183*x^13 -128703*x^12 -526736*x^11 + 281625*x^10 + 650661*x^9 -335378*x^8 -472957*x^7 + 210282*x^6 + 181990*x^5 -63218*x^4 -31432*x^3 + 7559*x^2 + 1591*x -201)*(x^3 -5*x + 3)^2*(x^10 + 4*x^9 -4*x^8 -31*x^7 -13*x^6 + 66*x^5 + 56*x^4 -37*x^3 -46*x^2 -8*x + 1)^2*(x^26 -4*x^25 -36*x^24 + 154*x^23 + 554*x^22 -2577*x^21 -4772*x^20 + 24652*x^19 + 25321*x^18 -149131*x^17 -86017*x^16 + 595540*x^15 + 189834*x^14 -1589003*x^13 -278156*x^12 + 2799707*x^11 + 297701*x^10 -3137915*x^9 -283355*x^8 + 2081504*x^7 + 236065*x^6 -725019*x^5 -120174*x^4 + 115872*x^3 + 24760*x^2 -6437*x -1583)^2*(x + 1)^5*(x -1)^7;
T[1509,3]=(x^2 -3*x + 3)*(x^20 + 8*x^19 + 48*x^18 + 206*x^17 + 752*x^16 + 2307*x^15 + 6300*x^14 + 15215*x^13 + 33404*x^12 + 66208*x^11 + 120343*x^10 + 198624*x^9 + 300636*x^8 + 410805*x^7 + 510300*x^6 + 560601*x^5 + 548208*x^4 + 450522*x^3 + 314928*x^2 + 157464*x + 59049)*(x^6 -x^5 + 5*x^4 -3*x^3 + 15*x^2 -9*x + 27)*(x^52 -4*x^51 + 26*x^50 -89*x^49 + 356*x^48 -1055*x^47 + 3323*x^46 -8786*x^45 + 23879*x^44 -57731*x^43 + 141793*x^42 -319699*x^41 + 729134*x^40 -1555786*x^39 + 3352723*x^38 -6842263*x^37 + 14093488*x^36 -27712828*x^35 + 54974219*x^34 -104650209*x^33 + 200883504*x^32 -371250819*x^31 + 691557840*x^30 -1242750456*x^29 + 2250351438*x^28 -3935700496*x^27 + 6934892575*x^26 -11807101488*x^25 + 20253162942*x^24 -33554262312*x^23 + 56016185040*x^22 -90213949017*x^21 + 146444074416*x^20 -228870007083*x^19 + 360685850859*x^18 -545471593524*x^17 + 832206372912*x^16 -1212086363661*x^15 + 1781774463843*x^14 -2480425402878*x^13 + 3487425318846*x^12 -4587331218993*x^11 + 6103723710753*x^10 -7455390750153*x^9 + 9251213856831*x^8 -10211629249062*x^7 + 11586584564523*x^6 -11035672629165*x^5 + 11171657220804*x^4 -8378742915603*x^3 + 7343167948506*x^2 -3389154437772*x + 2541865828329)*(x^2 -x + 3)^2*(x -1)^41*(x + 1)^42;
T[1509,5]=(x -4)*(x + 1)*(x^2 -x -1)*(x^13 + 12*x^12 + 41*x^11 -33*x^10 -437*x^9 -497*x^8 + 1183*x^7 + 2427*x^6 -596*x^5 -3339*x^4 -742*x^3 + 1452*x^2 + 531*x -5)*(x^2 -x -7)*(x^24 -8*x^23 -31*x^22 + 396*x^21 + 16*x^20 -7816*x^19 + 10791*x^18 + 77176*x^17 -181581*x^16 -380166*x^15 + 1370416*x^14 + 659692*x^13 -5409800*x^12 + 1445555*x^11 + 11342939*x^10 -7520151*x^9 -12913994*x^8 + 11770319*x^7 + 8089713*x^6 -8724917*x^5 -2839239*x^4 + 3086251*x^3 + 631748*x^2 -409985*x -97437)*(x^14 + 5*x^13 -25*x^12 -154*x^11 + 160*x^10 + 1718*x^9 + 480*x^8 -8268*x^7 -7931*x^6 + 15401*x^5 + 23057*x^4 -4794*x^3 -17405*x^2 -3638*x + 1929)*(x^26 -2*x^25 -87*x^24 + 156*x^23 + 3316*x^22 -5224*x^21 -72945*x^20 + 98104*x^19 + 1027913*x^18 -1129824*x^17 -9745514*x^16 + 8147946*x^15 + 63550118*x^14 -35325597*x^13 -285947229*x^12 + 75143061*x^11 + 873301194*x^10 + 30447263*x^9 -1729001811*x^8 -569378249*x^7 + 1997488311*x^6 + 1253869485*x^5 -1007658226*x^4 -1042967039*x^3 -42041823*x^2 + 189026734*x + 47057108)*(x + 4)^2*(x^10 + x^9 -11*x^8 -7*x^7 + 41*x^6 + 7*x^5 -59*x^4 + 16*x^3 + 18*x^2 -9*x + 1)^2*(x^26 -9*x^25 -71*x^24 + 873*x^23 + 1333*x^22 -35769*x^21 + 27305*x^20 + 795330*x^19 -1730386*x^18 -10082887*x^17 + 35969747*x^16 + 64971026*x^15 -407126924*x^14 -30144880*x^13 + 2659470320*x^12 -2703014464*x^11 -9170377216*x^10 + 19446722944*x^9 + 9083193856*x^8 -57597089792*x^7 + 35068894208*x^6 + 60235479040*x^5 -94082748416*x^4 + 22315384832*x^3 + 39809548288*x^2 -32069681152*x + 7351042048)^2*(x + 2)^4*(x )^6;

T[1510,2]=(x^2 + 2)*(x^10 + x^9 + 4*x^8 + 6*x^7 + 13*x^6 + 14*x^5 + 26*x^4 + 24*x^3 + 32*x^2 + 16*x + 32)*(x^10 + 3*x^8 -2*x^7 + 9*x^6 -3*x^5 + 18*x^4 -8*x^3 + 24*x^2 + 32)*(x^30 + 2*x^29 + 8*x^28 + 8*x^27 + 19*x^26 -x^25 + 11*x^24 -29*x^23 + 38*x^22 + 87*x^21 + 269*x^20 + 477*x^19 + 422*x^18 + 604*x^17 -292*x^16 + 336*x^15 -584*x^14 + 2416*x^13 + 3376*x^12 + 7632*x^11 + 8608*x^10 + 5568*x^9 + 4864*x^8 -7424*x^7 + 5632*x^6 -1024*x^5 + 38912*x^4 + 32768*x^3 + 65536*x^2 + 32768*x + 32768)*(x^36 + 2*x^35 + 4*x^34 + 4*x^33 + 5*x^32 + 7*x^31 + 15*x^30 + 25*x^29 + 54*x^28 + 81*x^27 + 157*x^26 + 191*x^25 + 236*x^24 + 250*x^23 + 348*x^22 + 588*x^21 + 1168*x^20 + 1752*x^19 + 3008*x^18 + 3504*x^17 + 4672*x^16 + 4704*x^15 + 5568*x^14 + 8000*x^13 + 15104*x^12 + 24448*x^11 + 40192*x^10 + 41472*x^9 + 55296*x^8 + 51200*x^7 + 61440*x^6 + 57344*x^5 + 81920*x^4 + 131072*x^3 + 262144*x^2 + 262144*x + 262144)*(x^2 -x + 2)^2*(x^2 + x + 2)^2*(x^6 + 2*x^5 + 5*x^4 + 7*x^3 + 10*x^2 + 8*x + 8)^2*(x^6 + x^4 + 3*x^3 + 2*x^2 + 8)^2*(x^12 -x^11 + 5*x^10 -7*x^9 + 17*x^8 -19*x^7 + 43*x^6 -38*x^5 + 68*x^4 -56*x^3 + 80*x^2 -32*x + 64)^2*(x^2 -2*x + 2)^3*(x -1)^37*(x + 1)^38;
T[1510,3]=(x^3 + x^2 -8*x -4)*(x^3 + 4*x^2 + 3*x -1)*(x^3 + 2*x^2 -3*x -5)*(x^4 -2*x^3 -3*x^2 + 3*x + 2)*(x^5 + 2*x^4 -6*x^3 -5*x^2 + 7*x + 3)*(x^6 -x^5 -11*x^4 + 10*x^3 + 23*x^2 -20*x -4)*(x^2 -x -4)*(x^5 -8*x^3 + x^2 + 5*x -1)*(x^4 + x^3 -7*x^2 -4*x + 7)*(x^10 -4*x^9 -15*x^8 + 71*x^7 + 49*x^6 -374*x^5 -x^4 + 747*x^3 -74*x^2 -524*x -24)*(x + 1)^2*(x + 2)^2*(x^4 -2*x^3 -4*x^2 + 8*x -1)^2*(x^5 + 2*x^4 -4*x^3 -7*x^2 + 3*x + 4)^2*(x^4 -10*x^2 -6*x + 9)^2*(x^5 + 3*x^4 -4*x^3 -17*x^2 -8*x + 5)^2*(x^15 -5*x^14 -15*x^13 + 100*x^12 + 57*x^11 -759*x^10 + 131*x^9 + 2727*x^8 -1364*x^7 -4656*x^6 + 3208*x^5 + 3185*x^4 -2770*x^3 -308*x^2 + 620*x -112)^2*(x^18 -2*x^17 -41*x^16 + 79*x^15 + 681*x^14 -1245*x^13 -5903*x^12 + 9978*x^11 + 28723*x^10 -42888*x^9 -78731*x^8 + 95263*x^7 + 115239*x^6 -93909*x^5 -75829*x^4 + 22944*x^3 + 10988*x^2 + 580*x + 8)^2*(x )^2*(x -3)^3*(x^2 + 2*x -1)^4*(x^3 + x^2 -2*x -1)^4*(x^6 + 5*x^5 -4*x^4 -51*x^3 -68*x^2 -12*x + 8)^4*(x + 3)^5*(x -1)^6*(x -2)^14;
T[1510,5]=(x^2 + 4*x + 5)*(x^2 -2*x + 5)*(x^8 + 12*x^6 -4*x^5 + 74*x^4 -20*x^3 + 300*x^2 + 625)*(x^8 + 4*x^7 + 12*x^6 + 16*x^5 + 34*x^4 + 80*x^3 + 300*x^2 + 500*x + 625)*(x^6 -5*x^5 + 13*x^4 -25*x^3 + 65*x^2 -125*x + 125)^2*(x^12 -6*x^11 + 35*x^10 -134*x^9 + 467*x^8 -1272*x^7 + 3169*x^6 -6360*x^5 + 11675*x^4 -16750*x^3 + 21875*x^2 -18750*x + 15625)^2*(x^6 + 7*x^5 + 29*x^4 + 77*x^3 + 145*x^2 + 175*x + 125)^2*(x^2 + 5)^3*(x -1)^75*(x + 1)^76;

T[1511,2]=(x^87 -6*x^86 -124*x^85 + 803*x^84 + 7281*x^83 -51624*x^82 -268327*x^81 + 2123221*x^80 + 6921762*x^79 -62772154*x^78 -131474598*x^77 + 1421127102*x^76 + 1867904368*x^75 -25628568839*x^74 -19322294573*x^73 + 378129548504*x^72 + 124823797146*x^71 -4652210592476*x^70 + 15595697789*x^69 + 48405642984866*x^68 -13279833090918*x^67 -430495788799745*x^66 + 215588829227397*x^65 + 3299186203699147*x^64 -2292422616495672*x^63 -21923504866654218*x^62 + 18967347814914644*x^61 + 126917895444120796*x^60 -129230930274515659*x^59 -642317816791924593*x^58 + 744559755627023382*x^57 + 2848606847859772419*x^56 -3681438066076068064*x^55 -11086540032300181023*x^54 + 15762489945129757748*x^53 + 37885588159461214699*x^52 -58774782009395630310*x^51 -113634169547913245776*x^50 + 191540588299140272720*x^49 + 298763427532501191707*x^48 -546665689141088552401*x^47 -686881562059096320519*x^46 + 1367583371544289675065*x^45 + 1375749450148701535733*x^44 -2998567914189377700815*x^43 -2387149944931935763695*x^42 + 5756831245496847322741*x^41 + 3558895762255752151997*x^40 -9660300638506446406999*x^39 -4501107030429789685846*x^38 + 14132341893546354692327*x^37 + 4727778337135187950127*x^36 -17962777377478741681356*x^35 -3958171083781477655886*x^34 + 19751769368020623637879*x^33 + 2381265531607025469360*x^32 -18690952757006756556182*x^31 -615171206734396675919*x^30 + 15125281513880432710657*x^29 -671388465504675022541*x^28 -10388342565056989685621*x^27 + 1172071912828146062233*x^26 + 6001679669337073211170*x^25 -1042225140442495060860*x^24 -2885882174062239495053*x^23 + 657977952851522435265*x^22 + 1140506789999172621713*x^21 -315848510709049221866*x^20 -364918379686088946105*x^19 + 117371516656453833829*x^18 + 92819345441021911660*x^17 -33744508199729174778*x^16 -18345049799832204910*x^15 + 7425367567451085495*x^14 + 2734400146473032829*x^13 -1227120458570598515*x^12 -294670594025764351*x^11 + 148091920680550478*x^10 + 21462381015170460*x^9 -12527013138964287*x^8 -923616487277834*x^7 + 697638446349177*x^6 + 14617695219488*x^5 -23028875082355*x^4 + 378517697418*x^3 + 364822398627*x^2 -13579267885*x -1384926467)*(x^39 + 5*x^38 -36*x^37 -211*x^36 + 546*x^35 + 4037*x^34 -4283*x^33 -46390*x^32 + 14215*x^31 + 357564*x^30 + 49442*x^29 -1955480*x^28 -834862*x^27 + 7828669*x^26 + 4892474*x^25 -23338189*x^24 -17836226*x^23 + 52205036*x^22 + 44976009*x^21 -87665875*x^20 -81107546*x^19 + 109881947*x^18 + 105298014*x^17 -101587044*x^16 -97474315*x^15 + 67985126*x^14 + 62784680*x^13 -32039488*x^12 -26954323*x^11 + 10211930*x^10 + 7182965*x^9 -2067303*x^8 -1056937*x^7 + 237195*x^6 + 72133*x^5 -11783*x^4 -2003*x^3 + 208*x^2 + 18*x -1);
T[1511,3]=(x^87 -4*x^86 -189*x^85 + 770*x^84 + 17116*x^83 -71140*x^82 -988944*x^81 + 4201112*x^80 + 40954193*x^79 -178183527*x^78 -1294635103*x^77 + 5782308277*x^76 + 32489281951*x^75 -149354093951*x^74 -664591523087*x^73 + 3153881586103*x^72 + 11291066961051*x^71 -55501850333890*x^70 -161527393295496*x^69 + 825616455212820*x^68 + 1965791926787372*x^67 -10494342926448592*x^66 -20508989591636684*x^65 + 114939478145219699*x^64 + 184476974240549788*x^63 -1091821192690429715*x^62 -1436519054751200434*x^61 + 9040928100287986912*x^60 + 9710455874346262468*x^59 -65519175455386606622*x^58 -57066498382249346774*x^57 + 416796519434614943747*x^56 + 291662238739343213418*x^55 -2332601399490840156997*x^54 -1295265415819585620951*x^53 + 11502093230752440337925*x^52 + 4987332182389841406938*x^51 -50017441040711943658190*x^50 -16588003933930021657688*x^49 + 191871954953338502751087*x^48 + 47391584723949762747303*x^47 -649147563495228576854599*x^46 -115374691030391331260467*x^45 + 1935418265617761567628376*x^44 + 236722680884732423801395*x^43 -5078295393986788537413062*x^42 -403630403768797613341551*x^41 + 11703733973511300859428272*x^40 + 564402208470071046462483*x^39 -23629796113322696483103816*x^38 -654455602811853403501773*x^37 + 41654962981336976420648927*x^36 + 716157199419649141751420*x^35 -63842554688580230544805220*x^34 -1028752767547609607428386*x^33 + 84626214574925646134895043*x^32 + 2026147089191524804711689*x^31 -96385120680186903538425557*x^30 -3877169585918285745029517*x^29 + 93558160158280392531167101*x^28 + 6041414574174413042990659*x^27 -76605072902810245665505244*x^26 -7405668986100619921228495*x^25 + 52219353322435835547852676*x^24 + 7119833071811552984908648*x^23 -29129951158950973377856289*x^22 -5350884243596794304324903*x^21 + 12992545920735146740344850*x^20 + 3111298167296590217623466*x^19 -4483160888559098785947239*x^18 -1372312459421189205937946*x^17 + 1137896295740182886589421*x^16 + 444725055090515010847517*x^15 -194469945959236359423700*x^14 -100790660868429807808127*x^13 + 18159033584642460477162*x^12 + 14800755478806156580739*x^11 -134221809776402973256*x^10 -1250007409372267822451*x^9 -134949831795049743897*x^8 + 50357061818949017686*x^7 + 10929904582613864739*x^6 -412978003039332528*x^5 -287841285747201728*x^4 -20053757684926464*x^3 + 1254857057780992*x^2 + 197318914029568*x + 6054414684160)*(x^39 + 4*x^38 -50*x^37 -210*x^36 + 1119*x^35 + 4970*x^34 -14871*x^33 -70296*x^32 + 131548*x^31 + 664263*x^30 -825832*x^29 -4441276*x^28 + 3853070*x^27 + 21706386*x^26 -13930443*x^25 -78992917*x^24 + 40649382*x^23 + 215930058*x^22 -98724698*x^21 -443717819*x^20 + 200433754*x^19 + 680565999*x^18 -331048078*x^17 -766238597*x^16 + 425072834*x^15 + 614232639*x^14 -404019594*x^13 -331594581*x^12 + 270500878*x^11 + 107059369*x^10 -120447093*x^9 -13468637*x^8 + 32913690*x^7 -2527226*x^6 -4850011*x^5 + 977051*x^4 + 309223*x^3 -90857*x^2 -5538*x + 2377);
T[1511,5]=(x^87 -10*x^86 -257*x^85 + 2869*x^84 + 30640*x^83 -393352*x^82 -2220992*x^81 + 34311045*x^80 + 106545649*x^79 -2138654581*x^78 -3329397968*x^77 + 101433586079*x^76 + 50705797010*x^75 -3806124132996*x^74 + 1069887191636*x^73 + 115987855854667*x^72 -103846801195721*x^71 -2924057299050817*x^70 + 4108163262297067*x^69 + 61803909205617258*x^68 -114287027960352819*x^67 -1106027322912850218*x^66 + 2494581777025081597*x^65 + 16878652470873508149*x^64 -44648799325815884655*x^63 -220752821068007777895*x^62 + 670685764544031292363*x^61 + 2482262883425171644107*x^60 -8575143175685340403425*x^59 -24031811748069553803892*x^58 + 94187984650478954714379*x^57 + 200240991282582940821532*x^56 -894420187650385914702334*x^55 -1432255154515066752697856*x^54 + 7375824594335861112851913*x^53 + 8744251176769179278371554*x^52 -52984333810967186589429212*x^51 -45081522240843448981503912*x^50 + 332246318386404996456649847*x^49 + 192265870766025147824931904*x^48 -1821025539649246110821050257*x^47 -648711316170369350361267183*x^46 + 8729860702281812949693861715*x^45 + 1523398650775125663377801465*x^44 -36609712729438968612775092059*x^43 -993299869210123874437167132*x^42 + 134259717999939280357534060555*x^41 -12134324212249610564361915848*x^40 -430264992932512270463303081136*x^39 + 77951626825221910194871662035*x^38 + 1203564571900223509428406607628*x^37 -297758675569213994492534893042*x^36 -2933982033938958112534153880053*x^35 + 852393700728894662857389937647*x^34 + 6219954446061874959582209889829*x^33 -1938159973563180894724316214541*x^32 -11435591832377537501673617218962*x^31 + 3562635009947445786373874736430*x^30 + 18167064567761222833517274485108*x^29 -5293140857901951989420346286247*x^28 -24816686589658889008891274325796*x^27 + 6265186047619042575038601297387*x^26 + 28958198997439932908184719729814*x^25 -5698048005494050253875600842322*x^24 -28607259012354705619853289865523*x^23 + 3626782633791175991097468762402*x^22 + 23634369575713525743473685150779*x^21 -1072035604819175609319259235491*x^20 -16057035368148485209014653649905*x^19 -717409487090692933230190930198*x^18 + 8762375788059131719781592015044*x^17 + 1238563765949150593707852253861*x^16 -3712260066944869256969560012236*x^15 -909113564042582218505987544993*x^14 + 1158504074068600918979898396452*x^13 + 418437066923572144746676639452*x^12 -242819788727143724770929597843*x^11 -124899287938036140610859987268*x^10 + 27487119787917863098915958185*x^9 + 22849173656983997354874508383*x^8 -219918311341620890164055883*x^7 -2218803167525744762928476572*x^6 -260145444949294339103995363*x^5 + 84146351861673902387426515*x^4 + 16100258737864116111369768*x^3 -656825069225362128435295*x^2 -161182122168145296360320*x + 7628381128612100547155)*(x^39 + 8*x^38 -48*x^37 -533*x^36 + 695*x^35 + 15783*x^34 + 4969*x^33 -274273*x^32 -325680*x^31 + 3110433*x^30 + 5573179*x^29 -24205276*x^28 -55797858*x^27 + 132151792*x^26 + 374653520*x^25 -507122516*x^24 -1773866800*x^23 + 1339065502*x^22 + 6043756090*x^21 -2277886101*x^20 -14880881944*x^19 + 1980334400*x^18 + 26272406880*x^17 + 513584175*x^16 -32621157197*x^15 -3361116547*x^14 + 27579939115*x^13 + 3515708540*x^12 -15148212783*x^11 -1447613913*x^10 + 5082703153*x^9 + 54627596*x^8 -963700485*x^7 + 95347892*x^6 + 84908901*x^5 -17067743*x^4 -2045012*x^3 + 800373*x^2 -59572*x + 311);

T[1512,2]=(x^2 -2*x + 2)*(x^2 + 2*x + 2)*(x^4 -3*x^2 + 4)*(x^2 -x + 2)^2*(x^2 + x + 2)^3*(x^4 + x^2 + 4)^3*(x^2 + 2)^4*(x -1)^11*(x + 1)^12*(x )^204;
T[1512,3]=(x^2 -2*x + 3)*(x^2 + 3)*(x^2 + 2*x + 3)^3*(x -1)^7*(x + 1)^8*(x )^240;
T[1512,5]=(x^2 -x -8)*(x^2 -4*x + 1)*(x^2 + 4*x + 1)*(x^2 + x -8)*(x^2 -13)^2*(x^2 -3)^4*(x^2 -7)^6*(x^2 -12)^8*(x + 4)^14*(x -4)^14*(x -1)^16*(x + 1)^16*(x + 3)^17*(x -3)^17*(x -2)^32*(x + 2)^37*(x )^54;

T[1513,2]=(x^2 -3*x + 1)*(x^28 + 4*x^27 -34*x^26 -146*x^25 + 495*x^24 + 2329*x^23 -4018*x^22 -21362*x^21 + 19717*x^20 + 124656*x^19 -58260*x^18 -483258*x^17 + 90045*x^16 + 1260497*x^15 -8673*x^14 -2189129*x^13 -231327*x^12 + 2446910*x^11 + 407529*x^10 -1655272*x^9 -291798*x^8 + 625201*x^7 + 76511*x^6 -131328*x^5 -4203*x^4 + 14171*x^3 -859*x^2 -574*x + 73)*(x^27 + 7*x^26 -13*x^25 -189*x^24 -88*x^23 + 2165*x^22 + 2905*x^21 -13719*x^20 -26296*x^19 + 52468*x^18 + 129708*x^17 -123214*x^16 -397201*x^15 + 168850*x^14 + 787709*x^13 -103162*x^12 -1015221*x^11 -41973*x^10 + 825122*x^9 + 120442*x^8 -390484*x^7 -86111*x^6 + 89122*x^5 + 27270*x^4 -5301*x^3 -2544*x^2 -247*x -7)*(x^31 -5*x^30 -35*x^29 + 205*x^28 + 499*x^27 -3714*x^26 -3488*x^25 + 39266*x^24 + 8466*x^23 -269525*x^22 + 52621*x^21 + 1264595*x^20 -562937*x^19 -4159782*x^18 + 2487919*x^17 + 9683608*x^16 -6633796*x^15 -15910379*x^14 + 11495029*x^13 + 18194106*x^12 -13089729*x^11 -14105060*x^10 + 9593692*x^9 + 7114382*x^8 -4296037*x^7 -2194971*x^6 + 1064457*x^5 + 375139*x^4 -120039*x^3 -28802*x^2 + 3561*x + 657)*(x^28 -3*x^27 -39*x^26 + 124*x^25 + 652*x^24 -2251*x^23 -6038*x^22 + 23580*x^21 + 32961*x^20 -157429*x^19 -98991*x^18 + 697834*x^17 + 80390*x^16 -2072963*x^15 + 533987*x^14 + 4060530*x^13 -2250699*x^12 -4998460*x^11 + 4153065*x^10 + 3450807*x^9 -4126945*x^8 -902589*x^7 + 2118773*x^6 -217545*x^5 -455160*x^4 + 121382*x^3 + 21194*x^2 -5621*x -555)*(x -1)^2*(x^5 + x^4 -10*x^3 -10*x^2 + 21*x + 17)^2*(x + 1)^5;
T[1513,3]=(x^2 -3*x + 1)*(x^28 + 11*x^27 + 4*x^26 -369*x^25 -1079*x^24 + 4407*x^23 + 22561*x^22 -16005*x^21 -217950*x^20 -115045*x^19 + 1158795*x^18 + 1453994*x^17 -3503059*x^16 -6606054*x^15 + 5838361*x^14 + 16079404*x^13 -4905546*x^12 -22998979*x^11 + 1547264*x^10 + 19827252*x^9 -84571*x^8 -9984875*x^7 + 414958*x^6 + 2572620*x^5 -283448*x^4 -239251*x^3 + 30875*x^2 + 3397*x -260)*(x^31 -9*x^30 -26*x^29 + 449*x^28 -193*x^27 -9643*x^26 + 16635*x^25 + 115627*x^24 -306796*x^23 -828497*x^22 + 3094389*x^21 + 3358098*x^20 -19757523*x^19 -4375924*x^18 + 83493941*x^17 -28260614*x^16 -233748478*x^15 + 180149953*x^14 + 416724778*x^13 -499191018*x^12 -419200135*x^11 + 781257311*x^10 + 134778090*x^9 -689104542*x^8 + 140240122*x^7 + 308189193*x^6 -139218151*x^5 -55537711*x^4 + 40946200*x^3 + 552472*x^2 -3934640*x + 556176)*(x^27 + 7*x^26 -26*x^25 -271*x^24 + 147*x^23 + 4497*x^22 + 2241*x^21 -42239*x^20 -42490*x^19 + 249901*x^18 + 324819*x^17 -979364*x^16 -1454799*x^15 + 2597426*x^14 + 4174735*x^13 -4668440*x^12 -7869908*x^11 + 5593261*x^10 + 9663504*x^9 -4309430*x^8 -7423989*x^7 + 2011731*x^6 + 3264728*x^5 -518830*x^4 -670658*x^3 + 60323*x^2 + 30293*x + 47)*(x^28 -4*x^27 -51*x^26 + 206*x^25 + 1140*x^24 -4597*x^23 -14886*x^22 + 58602*x^21 + 128006*x^20 -473399*x^19 -774372*x^18 + 2536189*x^17 + 3415720*x^16 -9133307*x^15 -11081542*x^14 + 21815413*x^13 + 25924473*x^12 -32942685*x^11 -41619060*x^10 + 27942817*x^9 + 42091886*x^8 -8898256*x^7 -23108380*x^6 -2568504*x^5 + 4954120*x^4 + 1674759*x^3 + 73178*x^2 -12876*x -200)*(x + 1)^2*(x^5 + 3*x^4 -4*x^3 -16*x^2 -9*x -1)^2*(x )^2*(x -2)^3;
T[1513,5]=(x -2)*(x^28 + 13*x^27 -x^26 -675*x^25 -1961*x^24 + 13408*x^23 + 63758*x^22 -121329*x^21 -957766*x^20 + 296901*x^19 + 8281264*x^18 + 3830109*x^17 -44094862*x^16 -40247292*x^15 + 146615420*x^14 + 177615340*x^13 -298401178*x^12 -432183985*x^11 + 351190510*x^10 + 602597095*x^9 -206076045*x^8 -465655042*x^7 + 28107111*x^6 + 178611162*x^5 + 19485607*x^4 -26136882*x^3 -4428194*x^2 + 1215591*x + 218686)*(x^31 -15*x^30 + 19*x^29 + 767*x^28 -3483*x^27 -13308*x^26 + 110818*x^25 + 37569*x^24 -1714298*x^23 + 1876061*x^22 + 15161586*x^21 -31384139*x^20 -79293016*x^19 + 249311604*x^18 + 226372342*x^17 -1196008560*x^16 -168719546*x^15 + 3696636573*x^14 -1119616440*x^13 -7485368029*x^12 + 4430470181*x^11 + 9850891950*x^10 -7848664591*x^9 -8209214058*x^8 + 7798233281*x^7 + 4166719874*x^6 -4389071466*x^5 -1241477857*x^4 + 1296525864*x^3 + 212375272*x^2 -155472512*x -18700944)*(x^27 + 13*x^26 + 11*x^25 -525*x^24 -1875*x^23 + 7496*x^22 + 45390*x^21 -33667*x^20 -521058*x^19 -236243*x^18 + 3383686*x^17 + 3683429*x^16 -13212336*x^15 -19877328*x^14 + 31771598*x^13 + 57381000*x^12 -48120514*x^11 -94599243*x^10 + 49293780*x^9 + 87090915*x^8 -38847831*x^7 -39597782*x^6 + 22527785*x^5 + 4740698*x^4 -5905991*x^3 + 1626490*x^2 -190314*x + 8267)*(x^28 -17*x^27 + 52*x^26 + 694*x^25 -5061*x^24 -4428*x^23 + 134371*x^22 -232575*x^21 -1639803*x^20 + 5992510*x^19 + 8109139*x^18 -66047707*x^17 + 24448693*x^16 + 393874341*x^15 -555162811*x^14 -1232424699*x^13 + 3183836695*x^12 + 1284786964*x^11 -9098807965*x^10 + 3158474961*x^9 + 13513741698*x^8 -10697760863*x^7 -9817055969*x^6 + 11788388095*x^5 + 2807910542*x^4 -5552143333*x^3 -74146018*x^2 + 935893588*x -14597880)*(x^5 + x^4 -14*x^3 -14*x^2 + 29*x + 13)^2*(x + 2)^4*(x + 1)^4;

T[1514,2]=(x^66 -10*x^65 + 66*x^64 -330*x^63 + 1388*x^62 -5097*x^61 + 16872*x^60 -51204*x^59 + 144593*x^58 -383550*x^57 + 963729*x^56 -2307502*x^55 + 5292724*x^54 -11676739*x^53 + 24867320*x^52 -51267744*x^51 + 102582839*x^50 -199629534*x^49 + 378529880*x^48 -700434382*x^47 + 1266541391*x^46 -2240521717*x^45 + 3881451344*x^44 -6590503142*x^43 + 10976011415*x^42 -17940690568*x^41 + 28796349954*x^40 -45407921226*x^39 + 70370187996*x^38 -107211307551*x^37 + 160619421957*x^36 -236668859234*x^35 + 343028945881*x^34 -489101838994*x^33 + 686057891762*x^32 -946675436936*x^31 + 1284955375656*x^30 -1715380920816*x^29 + 2251846015872*x^28 -2906106958464*x^27 + 3685932794112*x^26 -4592816785408*x^25 + 5619717844480*x^24 -6748675217408*x^23 + 7949212352512*x^22 -9177176952832*x^21 + 10375507075072*x^20 -11475916914688*x^19 + 12403667107840*x^18 -13082921140224*x^17 + 13445737873408*x^16 -13439531483136*x^15 + 13037637468160*x^14 -12243948273664*x^13 + 11099646722048*x^12 -9678364868608*x^11 + 8084344799232*x^10 -6434901196800*x^9 + 4851735986176*x^8 -3436242272256*x^7 + 2264521506816*x^6 -1368215519232*x^5 + 745176825856*x^4 -354334801920*x^3 + 141733920768*x^2 -42949672960*x + 8589934592)*(x^58 + 12*x^57 + 88*x^56 + 482*x^55 + 2175*x^54 + 8479*x^53 + 29464*x^52 + 93136*x^51 + 271822*x^50 + 740511*x^49 + 1899121*x^48 + 4615798*x^47 + 10689816*x^46 + 23694706*x^45 + 50454715*x^44 + 103532030*x^43 + 205267393*x^42 + 394108568*x^41 + 734175041*x^40 + 1329187498*x^39 + 2341998830*x^38 + 4020869163*x^37 + 6733252501*x^36 + 11006993618*x^35 + 17577412789*x^34 + 27436560057*x^33 + 41878103815*x^32 + 62527836562*x^31 + 91346322149*x^30 + 130587103650*x^29 + 182692644298*x^28 + 250111346248*x^27 + 335024830520*x^26 + 438984960912*x^25 + 562477209248*x^24 + 704447591552*x^23 + 861856320128*x^22 + 1029342505728*x^21 + 1199103400960*x^20 + 1361087997952*x^19 + 1503590483968*x^18 + 1614268694528*x^17 + 1681550483456*x^16 + 1696268779520*x^15 + 1653300101120*x^14 + 1552856252416*x^13 + 1401135562752*x^12 + 1210003750912*x^11 + 995686350848*x^10 + 776482062336*x^9 + 570052050944*x^8 + 390640697344*x^7 + 247161946112*x^6 + 142254014464*x^5 + 72980889600*x^4 + 32346472448*x^3 + 11811160064*x^2 + 3221225472*x + 536870912)*(x -1)^32*(x + 1)^32;
T[1514,3]=(x^23 -3*x^22 -47*x^21 + 145*x^20 + 928*x^19 -2972*x^18 -10008*x^17 + 33766*x^16 + 63981*x^15 -233105*x^14 -244566*x^13 + 1007250*x^12 + 525531*x^11 -2702622*x^10 -496915*x^9 + 4314435*x^8 -102512*x^7 -3759425*x^6 + 492295*x^5 + 1536834*x^4 -278563*x^3 -193753*x^2 + 50464*x -1984)*(x^21 -7*x^20 -21*x^19 + 237*x^18 + 18*x^17 -3212*x^16 + 2858*x^15 + 22480*x^14 -30543*x^13 -88817*x^12 + 143086*x^11 + 208994*x^10 -356971*x^9 -305558*x^8 + 489965*x^7 + 289731*x^6 -350450*x^5 -179229*x^4 + 106407*x^3 + 59328*x^2 -3949*x -3577)*(x^9 + 4*x^8 -4*x^7 -27*x^6 -2*x^5 + 51*x^4 + 13*x^3 -23*x^2 -11*x -1)*(x^11 + 4*x^10 -10*x^9 -49*x^8 + 24*x^7 + 183*x^6 -29*x^5 -281*x^4 + 43*x^3 + 155*x^2 -24*x -16)*(x^33 -19*x^32 + 112*x^31 + 98*x^30 -3683*x^29 + 10566*x^28 + 33997*x^27 -226964*x^26 + 62995*x^25 + 2055895*x^24 -3601164*x^23 -9135474*x^22 + 31472948*x^21 + 11540445*x^20 -142055359*x^19 + 79685299*x^18 + 367564553*x^17 -457451144*x^16 -507866003*x^15 + 1111801394*x^14 + 204694666*x^13 -1470074686*x^12 + 376800620*x^11 + 1062525737*x^10 -555510267*x^9 -396422887*x^8 + 288569713*x^7 + 76389664*x^6 -70866748*x^5 -8859520*x^4 + 8502064*x^3 + 885120*x^2 -413648*x -59328)^2*(x^29 + 21*x^28 + 164*x^27 + 422*x^26 -1599*x^25 -12906*x^24 -18027*x^23 + 87832*x^22 + 334631*x^21 + 1087*x^20 -1899044*x^19 -2613150*x^18 + 4345592*x^17 + 13334845*x^16 + 742821*x^15 -30253365*x^14 -24597239*x^13 + 31590936*x^12 + 51782677*x^11 -5973930*x^10 -48508306*x^9 -16939294*x^8 + 20551780*x^7 + 14652133*x^6 -2017431*x^5 -4084383*x^4 -792855*x^3 + 212260*x^2 + 87360*x + 7936)^2;
T[1514,5]=(x^21 -2*x^20 -74*x^19 + 142*x^18 + 2319*x^17 -4196*x^16 -40372*x^15 + 67134*x^14 + 431312*x^13 -634636*x^12 -2954716*x^11 + 3637224*x^10 + 13180721*x^9 -12470002*x^8 -37929818*x^7 + 23898376*x^6 + 67516777*x^5 -20490320*x^4 -67053908*x^3 -525299*x^2 + 27999773*x + 7679007)*(x^23 -12*x^22 -8*x^21 + 632*x^20 -1721*x^19 -11462*x^18 + 57882*x^17 + 58990*x^16 -775728*x^15 + 657514*x^14 + 4792610*x^13 -10185874*x^12 -9958573*x^11 + 48752844*x^10 -22238648*x^9 -85287658*x^8 + 106290969*x^7 + 28398342*x^6 -110168010*x^5 + 34368411*x^4 + 35690467*x^3 -20298819*x^2 -2406390*x + 2264180)*(x^9 + 9*x^8 + 20*x^7 -31*x^6 -155*x^5 -103*x^4 + 138*x^3 + 152*x^2 + 21*x -9)*(x^11 + x^10 -28*x^9 -21*x^8 + 265*x^7 + 127*x^6 -1008*x^5 -122*x^4 + 1513*x^3 -311*x^2 -454*x + 28)*(x^33 -7*x^32 -70*x^31 + 584*x^30 + 1908*x^29 -21263*x^28 -22314*x^27 + 447333*x^26 -21539*x^25 -6065695*x^24 + 4289347*x^23 + 55905449*x^22 -64631735*x^21 -359372289*x^20 + 537063599*x^19 + 1625669122*x^18 -2883083076*x^17 -5161174412*x^16 + 10430926308*x^15 + 11393912439*x^14 -25560971951*x^13 -17396609217*x^12 + 41757475453*x^11 + 18742669816*x^10 -43947535992*x^9 -15079406175*x^8 + 27929761833*x^7 + 9137246982*x^6 -9242323092*x^5 -3435532504*x^4 + 980733608*x^3 + 466777136*x^2 + 44173392*x + 1219968)^2*(x^29 + 11*x^28 -22*x^27 -650*x^26 -1058*x^25 + 14819*x^24 + 50570*x^23 -149653*x^22 -870625*x^21 + 304797*x^20 + 7520649*x^19 + 7068541*x^18 -31813021*x^17 -64249315*x^16 + 40437487*x^15 + 206285650*x^14 + 108274424*x^13 -208089108*x^12 -260075372*x^11 -6179921*x^10 + 123910417*x^9 + 45743133*x^8 -16959059*x^7 -10684678*x^6 + 238624*x^5 + 720315*x^4 + 37403*x^3 -14652*x^2 -1144*x + 8)^2;

T[1515,2]=(x^3 -3*x + 1)*(x^3 + 2*x^2 -x -1)*(x^7 + x^6 -8*x^5 -5*x^4 + 19*x^3 + 6*x^2 -12*x -3)*(x^8 -4*x^7 -4*x^6 + 27*x^5 -3*x^4 -51*x^3 + 20*x^2 + 20*x -8)*(x^9 + 5*x^8 -x^7 -36*x^6 -33*x^5 + 61*x^4 + 83*x^3 + 5*x^2 -10*x + 1)*(x^10 -2*x^9 -15*x^8 + 29*x^7 + 73*x^6 -136*x^5 -123*x^4 + 225*x^3 + 48*x^2 -116*x + 24)*(x^12 -3*x^11 -17*x^10 + 54*x^9 + 95*x^8 -341*x^7 -171*x^6 + 871*x^5 -38*x^4 -745*x^3 + 100*x^2 + 180*x -8)*(x^15 -4*x^14 -19*x^13 + 89*x^12 + 117*x^11 -751*x^10 -173*x^9 + 3004*x^8 -751*x^7 -5805*x^6 + 2772*x^5 + 4719*x^4 -2583*x^3 -940*x^2 + 316*x + 72)*(x + 1)^2*(x -1)^2*(x + 2)^2*(x^2 -2)^2*(x^6 -x^5 -7*x^4 + 5*x^3 + 13*x^2 -4*x -6)^2*(x^8 + 5*x^7 + x^6 -26*x^5 -27*x^4 + 30*x^3 + 46*x^2 + 9*x -1)^2*(x^6 + 3*x^5 -4*x^4 -17*x^3 -5*x^2 + 13*x + 5)^2*(x^7 -12*x^5 + 40*x^3 + x^2 -24*x -4)^2*(x^9 -2*x^8 -10*x^7 + 19*x^6 + 31*x^5 -57*x^4 -28*x^3 + 57*x^2 -6*x -7)^2*(x^9 -2*x^8 -12*x^7 + 21*x^6 + 47*x^5 -61*x^4 -72*x^3 + 43*x^2 + 34*x -1)^2*(x^7 -13*x^5 + 2*x^4 + 47*x^3 -16*x^2 -43*x + 14)^4*(x )^6;
T[1515,3]=(x^2 + 3)*(x^12 + x^11 + 9*x^10 + 7*x^9 + 42*x^8 + 25*x^7 + 136*x^6 + 75*x^5 + 378*x^4 + 189*x^3 + 729*x^2 + 243*x + 729)*(x^16 + 11*x^15 + 67*x^14 + 293*x^13 + 1015*x^12 + 2918*x^11 + 7151*x^10 + 15172*x^9 + 28096*x^8 + 45516*x^7 + 64359*x^6 + 78786*x^5 + 82215*x^4 + 71199*x^3 + 48843*x^2 + 24057*x + 6561)*(x^18 -7*x^17 + 34*x^16 -124*x^15 + 384*x^14 -1035*x^13 + 2496*x^12 -5428*x^11 + 10765*x^10 -19472*x^9 + 32295*x^8 -48852*x^7 + 67392*x^6 -83835*x^5 + 93312*x^4 -90396*x^3 + 74358*x^2 -45927*x + 19683)*(x^18 -x^17 + 10*x^16 -10*x^15 + 58*x^14 -57*x^13 + 240*x^12 -218*x^11 + 819*x^10 -712*x^9 + 2457*x^8 -1962*x^7 + 6480*x^6 -4617*x^5 + 14094*x^4 -7290*x^3 + 21870*x^2 -6561*x + 19683)*(x^2 + 2*x + 3)^2*(x^14 -4*x^13 + 14*x^12 -34*x^11 + 88*x^10 -180*x^9 + 364*x^8 -616*x^7 + 1092*x^6 -1620*x^5 + 2376*x^4 -2754*x^3 + 3402*x^2 -2916*x + 2187)^2*(x -1)^51*(x + 1)^52;
T[1515,5]=(x^4 + 2*x^3 + 9*x^2 + 10*x + 25)*(x^14 -6*x^13 + 20*x^12 -48*x^11 + 130*x^10 -378*x^9 + 1013*x^8 -2336*x^7 + 5065*x^6 -9450*x^5 + 16250*x^4 -30000*x^3 + 62500*x^2 -93750*x + 78125)*(x^2 + 3*x + 5)*(x^12 -6*x^11 + 31*x^10 -116*x^9 + 379*x^8 -1022*x^7 + 2506*x^6 -5110*x^5 + 9475*x^4 -14500*x^3 + 19375*x^2 -18750*x + 15625)*(x^14 + 3*x^13 + 22*x^12 + 57*x^11 + 248*x^10 + 559*x^9 + 1802*x^8 + 3423*x^7 + 9010*x^6 + 13975*x^5 + 31000*x^4 + 35625*x^3 + 68750*x^2 + 46875*x + 78125)^2*(x^2 + x + 5)^3*(x + 1)^66*(x -1)^69;

T[1516,2]=(x^36 -3*x^35 + 14*x^34 -33*x^33 + 98*x^32 -200*x^31 + 481*x^30 -887*x^29 + 1872*x^28 -3201*x^27 + 6148*x^26 -9884*x^25 + 17618*x^24 -26819*x^23 + 44954*x^22 -65135*x^21 + 103512*x^20 -143186*x^19 + 216776*x^18 -286372*x^17 + 414048*x^16 -521080*x^15 + 719264*x^14 -858208*x^13 + 1127552*x^12 -1265152*x^11 + 1573888*x^10 -1638912*x^9 + 1916928*x^8 -1816576*x^7 + 1970176*x^6 -1638400*x^5 + 1605632*x^4 -1081344*x^3 + 917504*x^2 -393216*x + 262144)*(x^26 + 5*x^25 + 21*x^24 + 64*x^23 + 175*x^22 + 410*x^21 + 886*x^20 + 1733*x^19 + 3182*x^18 + 5448*x^17 + 8882*x^16 + 13776*x^15 + 20580*x^14 + 29583*x^13 + 41160*x^12 + 55104*x^11 + 71056*x^10 + 87168*x^9 + 101824*x^8 + 110912*x^7 + 113408*x^6 + 104960*x^5 + 89600*x^4 + 65536*x^3 + 43008*x^2 + 20480*x + 8192)*(x -1)^16*(x + 1)^16*(x )^94;
T[1516,3]=(x^14 + 5*x^13 -11*x^12 -80*x^11 + 25*x^10 + 480*x^9 + 71*x^8 -1367*x^7 -265*x^6 + 1936*x^5 + 135*x^4 -1222*x^3 + 101*x^2 + 188*x + 4)*(x^17 -5*x^16 -23*x^15 + 140*x^14 + 169*x^13 -1518*x^12 -263*x^11 + 8185*x^10 -1963*x^9 -23788*x^8 + 8889*x^7 + 38458*x^6 -13569*x^5 -34030*x^4 + 8316*x^3 + 15120*x^2 -1728*x -2592)*(x -2)^2*(x + 2)^2*(x^5 + 7*x^4 + 15*x^3 + 9*x^2 -2*x -1)^2*(x^5 + x^4 -9*x^3 + x^2 + 14*x -7)^2*(x^10 -6*x^9 -4*x^8 + 79*x^7 -83*x^6 -232*x^5 + 328*x^4 + 206*x^3 -292*x^2 -49*x + 49)^2*(x^10 -6*x^9 -4*x^8 + 75*x^7 -53*x^6 -296*x^5 + 302*x^4 + 420*x^3 -414*x^2 -135*x + 81)^2*(x^13 + 5*x^12 -9*x^11 -76*x^10 -29*x^9 + 318*x^8 + 271*x^7 -507*x^6 -493*x^5 + 280*x^4 + 291*x^3 -22*x^2 -37*x -2)^3*(x^18 -x^17 -37*x^16 + 36*x^15 + 559*x^14 -528*x^13 -4439*x^12 + 4029*x^11 + 19833*x^10 -16844*x^9 -49523*x^8 + 37022*x^7 + 65433*x^6 -37568*x^5 -43264*x^4 + 15784*x^3 + 12768*x^2 -1952*x -1216)^3;
T[1516,5]=(x^14 + x^13 -36*x^12 -37*x^11 + 450*x^10 + 365*x^9 -2507*x^8 -881*x^7 + 6811*x^6 -978*x^5 -7381*x^4 + 3344*x^3 + 1729*x^2 -692*x -193)*(x^17 + x^16 -51*x^15 -39*x^14 + 1011*x^13 + 560*x^12 -10030*x^11 -3426*x^10 + 53965*x^9 + 5350*x^8 -158707*x^7 + 28581*x^6 + 236222*x^5 -115729*x^4 -128192*x^3 + 114005*x^2 -23089*x -69)*(x -3)^2*(x + 1)^2*(x^5 + 3*x^4 -5*x^3 -24*x^2 -23*x -5)^2*(x^5 + 3*x^4 -7*x^3 -20*x^2 + 9*x + 25)^2*(x^10 -5*x^9 -25*x^8 + 142*x^7 + 153*x^6 -1237*x^5 + 16*x^4 + 3884*x^3 -1720*x^2 -3376*x + 1824)^2*(x^10 + 3*x^9 -23*x^8 -58*x^7 + 193*x^6 + 377*x^5 -748*x^4 -996*x^3 + 1352*x^2 + 912*x -928)^2*(x^13 + 20*x^12 + 156*x^11 + 555*x^10 + 551*x^9 -2138*x^8 -6937*x^7 -5820*x^6 + 2699*x^5 + 6331*x^4 + 3300*x^3 + 684*x^2 + 45*x -1)^3*(x^18 -22*x^17 + 186*x^16 -638*x^15 -432*x^14 + 10139*x^13 -24686*x^12 -19276*x^11 + 178471*x^10 -200705*x^9 -313477*x^8 + 829502*x^7 -236421*x^6 -754823*x^5 + 554475*x^4 + 137385*x^3 -165124*x^2 -5558*x + 13539)^3;

T[1517,2]=(x + 1)*(x -1)*(x^25 + 3*x^24 -29*x^23 -91*x^22 + 357*x^21 + 1190*x^20 -2431*x^19 -8813*x^18 + 9964*x^17 + 40838*x^16 -24792*x^15 -123455*x^14 + 34484*x^13 + 246241*x^12 -15983*x^11 -320369*x^10 -24643*x^9 + 262577*x^8 + 44197*x^7 -126810*x^6 -28269*x^5 + 31819*x^4 + 8038*x^3 -3028*x^2 -801*x -17)*(x^24 + 4*x^23 -21*x^22 -96*x^21 + 173*x^20 + 971*x^19 -672*x^18 -5409*x^17 + 915*x^16 + 18201*x^15 + 2107*x^14 -38204*x^13 -10560*x^12 + 49985*x^11 + 17790*x^10 -39777*x^9 -14564*x^8 + 18453*x^7 + 5548*x^6 -4724*x^5 -737*x^4 + 564*x^3 -24*x^2 -12*x + 1)*(x^35 -7*x^34 -34*x^33 + 338*x^32 + 324*x^31 -7269*x^30 + 2986*x^29 + 91607*x^28 -108188*x^27 -747552*x^26 + 1317322*x^25 + 4103567*x^24 -9600834*x^23 -15088259*x^22 + 47027549*x^21 + 34591703*x^20 -161159493*x^19 -33709949*x^18 + 390257414*x^17 -62035824*x^16 -660720710*x^15 + 293131557*x^14 + 756051234*x^13 -526786241*x^12 -542346835*x^11 + 535330309*x^10 + 200161363*x^9 -311592326*x^8 -6770314*x^7 + 92331081*x^6 -16531547*x^5 -9822715*x^4 + 2462513*x^3 + 175209*x^2 -7295*x -429)*(x^35 -3*x^34 -54*x^33 + 162*x^32 + 1320*x^31 -3949*x^30 -19358*x^29 + 57503*x^28 + 190368*x^27 -557828*x^26 -1329768*x^25 + 3806603*x^24 + 6821032*x^23 -18806039*x^22 -26207367*x^21 + 68183017*x^20 + 76262347*x^19 -181880739*x^18 -168793510*x^17 + 354426294*x^16 + 283424690*x^15 -495803659*x^14 -356962984*x^13 + 482913847*x^12 + 329023477*x^11 -311385257*x^10 -211994257*x^9 + 121676552*x^8 + 88073136*x^7 -23788735*x^6 -20465973*x^5 + 969503*x^4 + 1958717*x^3 + 213873*x^2 + 4999*x -25)*(x + 2)^2*(x^3 + x^2 -5*x -1)^2*(x )^2;
T[1517,3]=(x^25 + 14*x^24 + 49*x^23 -188*x^22 -1601*x^21 -1251*x^20 + 15826*x^19 + 38590*x^18 -57964*x^17 -299856*x^16 -57019*x^15 + 1116088*x^14 + 1162639*x^13 -2016568*x^12 -3934685*x^11 + 981482*x^10 + 6148851*x^9 + 2248648*x^8 -4348445*x^7 -3613666*x^6 + 636213*x^5 + 1609633*x^4 + 484166*x^3 -48714*x^2 -37727*x -3844)*(x^24 + 10*x^23 + 9*x^22 -212*x^21 -611*x^20 + 1543*x^19 + 7566*x^18 -3034*x^17 -44302*x^16 -16506*x^15 + 144835*x^14 + 106256*x^13 -285675*x^12 -251904*x^11 + 362181*x^10 + 310334*x^9 -308329*x^8 -205728*x^7 + 173723*x^6 + 65372*x^5 -57233*x^4 -5599*x^3 + 7994*x^2 -596*x -159)*(x^35 -9*x^34 -36*x^33 + 536*x^32 + 107*x^31 -14154*x^30 + 16718*x^29 + 217944*x^28 -438263*x^27 -2161253*x^26 + 5841047*x^25 + 14330675*x^24 -49775087*x^23 -63227476*x^22 + 292032933*x^21 + 172662501*x^20 -1216414696*x^19 -198641106*x^18 + 3635532318*x^17 -430367678*x^16 -7779125024*x^15 + 2359371373*x^14 + 11768601498*x^13 -4886230692*x^12 -12312592266*x^11 + 5697462536*x^10 + 8634561739*x^9 -3832812777*x^8 -3897357472*x^7 + 1371161573*x^6 + 1063601323*x^5 -205248409*x^4 -149050116*x^3 + 2576820*x^2 + 5224476*x + 57644)*(x^35 -18*x^34 + 85*x^33 + 352*x^32 -4307*x^31 + 5277*x^30 + 71328*x^29 -242094*x^28 -488521*x^27 + 3448704*x^26 -246178*x^25 -26904388*x^24 + 30136146*x^23 + 127438989*x^22 -254238481*x^21 -361688384*x^20 + 1168880105*x^19 + 491205600*x^18 -3440032082*x^17 + 350452246*x^16 + 6770396238*x^15 -2871295995*x^14 -8954504753*x^13 + 5757826120*x^12 + 7814063310*x^11 -6249632722*x^10 -4336030033*x^9 + 3950362254*x^8 + 1459374259*x^7 -1418764647*x^6 -288348438*x^5 + 271611182*x^4 + 32095393*x^3 -23570564*x^2 -1679848*x + 516088)*(x )*(x + 3)^2*(x^3 -4*x + 2)^2*(x -1)^3;
T[1517,5]=(x -4)*(x^24 + 3*x^23 -53*x^22 -161*x^21 + 1134*x^20 + 3476*x^19 -12797*x^18 -39524*x^17 + 83936*x^16 + 262662*x^15 -329595*x^14 -1070917*x^13 + 752455*x^12 + 2726333*x^11 -858239*x^10 -4282136*x^9 + 100294*x^8 + 3939346*x^7 + 805940*x^6 -1865386*x^5 -730544*x^4 + 309031*x^3 + 185205*x^2 + 12748*x -2413)*(x^35 -x^34 -111*x^33 + 129*x^32 + 5542*x^31 -7332*x^30 -164523*x^29 + 243368*x^28 + 3234032*x^27 -5267888*x^26 -44376713*x^25 + 78584447*x^24 + 436945387*x^23 -832153323*x^22 -3129297737*x^21 + 6349387296*x^20 + 16383801714*x^19 -35100635678*x^18 -62698915410*x^17 + 140394576980*x^16 + 174749442464*x^15 -403155318487*x^14 -352157568491*x^13 + 817853042162*x^12 + 506101586301*x^11 -1137899012156*x^10 -503899685448*x^9 + 1029463570208*x^8 + 324697436112*x^7 -548262666816*x^6 -112925434368*x^5 + 140082572288*x^4 + 10338044928*x^3 -10584895488*x^2 + 467783680*x + 42713088)*(x^35 -3*x^34 -119*x^33 + 369*x^32 + 6308*x^31 -20248*x^30 -196593*x^29 + 654882*x^28 + 4005336*x^27 -13899674*x^26 -56135759*x^25 + 204074589*x^24 + 554971937*x^23 -2130008189*x^22 -3908986945*x^21 + 16007097326*x^20 + 19608650554*x^19 -86849636786*x^18 -69475575708*x^17 + 338282860326*x^16 + 171527821304*x^15 -932059451833*x^14 -291889654833*x^13 + 1768128169662*x^12 + 348875489255*x^11 -2203655377590*x^10 -323002242604*x^9 + 1659612603544*x^8 + 253151238464*x^7 -640733696000*x^6 -127863767808*x^5 + 86239901184*x^4 + 14089506816*x^3 -3062665216*x^2 + 127021056*x -516096)*(x^25 + x^24 -61*x^23 -53*x^22 + 1604*x^21 + 1156*x^20 -23799*x^19 -13166*x^18 + 219004*x^17 + 79984*x^16 -1293265*x^15 -204867*x^14 + 4893945*x^13 -293401*x^12 -11458919*x^11 + 3146278*x^10 + 15284146*x^9 -7073882*x^8 -9902898*x^7 + 5994336*x^6 + 2580564*x^5 -2097015*x^4 -75061*x^3 + 257872*x^2 -42087*x + 34)*(x^3 + 2*x^2 -4*x -4)^2*(x )^2*(x + 2)^3;

T[1518,2]=(x^4 -2*x^3 + 3*x^2 -4*x + 4)*(x^10 + 2*x^9 + x^8 + x^7 + 6*x^6 + 11*x^5 + 12*x^4 + 4*x^3 + 8*x^2 + 32*x + 32)*(x^16 -2*x^15 + 3*x^14 -6*x^13 + 8*x^12 -12*x^11 + 15*x^10 -14*x^9 + 19*x^8 -28*x^7 + 60*x^6 -96*x^5 + 128*x^4 -192*x^3 + 192*x^2 -256*x + 256)*(x^12 -2*x^11 + 6*x^10 -10*x^9 + 20*x^8 -28*x^7 + 49*x^6 -56*x^5 + 80*x^4 -80*x^3 + 96*x^2 -64*x + 64)*(x^16 -2*x^15 + 5*x^14 -8*x^13 + 14*x^12 -18*x^11 + 27*x^10 -32*x^9 + 41*x^8 -64*x^7 + 108*x^6 -144*x^5 + 224*x^4 -256*x^3 + 320*x^2 -256*x + 256)*(x^2 + x + 2)^2*(x^6 -3*x^5 + 6*x^4 -9*x^3 + 12*x^2 -12*x + 8)^2*(x^6 + x^5 + 3*x^4 + 3*x^3 + 6*x^2 + 4*x + 8)^2*(x^6 + x^5 + 2*x^4 + 5*x^3 + 4*x^2 + 4*x + 8)^2*(x^12 -3*x^11 + 8*x^10 -14*x^9 + 25*x^8 -34*x^7 + 53*x^6 -68*x^5 + 100*x^4 -112*x^3 + 128*x^2 -96*x + 64)^2*(x^4 -x^2 + 4)^2*(x^10 + 4*x^9 + 10*x^8 + 18*x^7 + 27*x^6 + 39*x^5 + 54*x^4 + 72*x^3 + 80*x^2 + 64*x + 32)^2*(x^2 -x + 2)^4*(x^2 + 2*x + 2)^4*(x^4 + x^3 + 3*x^2 + 2*x + 4)^5*(x -1)^47*(x + 1)^48;
T[1518,3]=(x^6 -3*x^5 + 3*x^4 -x^3 + 9*x^2 -27*x + 27)*(x^6 -3*x^5 + 7*x^4 -13*x^3 + 21*x^2 -27*x + 27)*(x^8 + x^7 + 6*x^6 + 6*x^5 + 26*x^4 + 18*x^3 + 54*x^2 + 27*x + 81)*(x^10 -x^9 + 3*x^8 + x^7 + 4*x^6 + 16*x^5 + 12*x^4 + 9*x^3 + 81*x^2 -81*x + 243)*(x^6 -3*x^5 + 9*x^4 -15*x^3 + 27*x^2 -27*x + 27)^2*(x^6 + 5*x^5 + 13*x^4 + 25*x^3 + 39*x^2 + 45*x + 27)^2*(x^10 + 5*x^9 + 18*x^8 + 50*x^7 + 113*x^6 + 211*x^5 + 339*x^4 + 450*x^3 + 486*x^2 + 405*x + 243)^2*(x^12 -7*x^11 + 29*x^10 -87*x^9 + 211*x^8 -435*x^7 + 794*x^6 -1305*x^5 + 1899*x^4 -2349*x^3 + 2349*x^2 -1701*x + 729)^2*(x^2 + 2*x + 3)^3*(x^2 + x + 3)^4*(x^4 + x^2 + 9)^4*(x^2 + 3)^5*(x -1)^71*(x + 1)^72;
T[1518,5]=(x^2 -3*x -2)*(x^2 + x -10)*(x^2 + x -4)*(x^3 -x^2 -10*x + 8)*(x^4 + x^3 -18*x^2 -12*x + 8)*(x + 4)^2*(x^3 + 2*x^2 -2*x -2)^2*(x^3 + 7*x^2 + 8*x -15)^2*(x^3 + 4*x^2 + 2*x -2)^2*(x^5 -4*x^4 -7*x^3 + 31*x^2 + x -18)^2*(x^6 -6*x^5 -2*x^4 + 52*x^3 -43*x^2 -22*x + 4)^2*(x^8 -6*x^7 -16*x^6 + 142*x^5 -19*x^4 -986*x^3 + 1022*x^2 + 1690*x -2276)^2*(x^4 -2*x^3 -11*x^2 + 23*x -1)^2*(x^8 -26*x^6 + 8*x^5 + 181*x^4 -16*x^3 -388*x^2 -112*x + 96)^2*(x^5 -4*x^4 -21*x^3 + 80*x^2 + 110*x -386)^2*(x -3)^3*(x^3 + 5*x^2 + 4*x -5)^4*(x^5 + 3*x^4 -14*x^3 -43*x^2 -12*x + 16)^4*(x^6 -3*x^5 -12*x^4 + 25*x^3 + 38*x^2 -40*x -32)^4*(x -4)^5*(x^3 -3*x^2 + 3)^6*(x + 3)^8*(x + 2)^10*(x -1)^11*(x )^11*(x + 1)^13*(x -2)^13*(x^2 + 2*x -4)^14;

T[1519,2]=(x -1)^2*(x^7 + x^6 -9*x^5 -7*x^4 + 20*x^3 + 10*x^2 -7*x -1)^2*(x^13 -5*x^12 -9*x^11 + 76*x^10 -17*x^9 -387*x^8 + 332*x^7 + 758*x^6 -875*x^5 -475*x^4 + 705*x^3 -48*x^2 -108*x + 21)^2*(x^16 -24*x^14 + 230*x^12 -1122*x^10 + 2931*x^8 + 16*x^7 -3934*x^6 -144*x^5 + 2375*x^4 + 352*x^3 -522*x^2 -160*x -7)^2*(x^7 + 3*x^6 -5*x^5 -17*x^4 + 4*x^3 + 24*x^2 + 6*x -3)^2*(x^4 -5*x^2 + x + 1)^3*(x^5 -3*x^4 -5*x^3 + 16*x^2 + 6*x -19)^3*(x^2 -x -1)^4*(x^3 + 3*x^2 -3)^6;
T[1519,3]=(x^2 -2*x -4)*(x^3 -3*x^2 + 1)*(x^3 -3*x^2 + 3)*(x^13 -32*x^11 -4*x^10 + 391*x^9 + 99*x^8 -2281*x^7 -941*x^6 + 6378*x^5 + 3996*x^4 -6976*x^3 -6256*x^2 + 64*x + 704)*(x^13 -32*x^11 + 4*x^10 + 391*x^9 -99*x^8 -2281*x^7 + 941*x^6 + 6378*x^5 -3996*x^4 -6976*x^3 + 6256*x^2 + 64*x -704)*(x^7 + 2*x^6 -13*x^5 -20*x^4 + 52*x^3 + 50*x^2 -61*x -16)*(x^4 + 3*x^3 -2*x^2 -9*x -4)*(x^7 -2*x^6 -13*x^5 + 20*x^4 + 52*x^3 -50