Sharedwww / Tables / charpoly_s2_t2t3t5_2001-2500.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]), October, 1998.

\\ 2001 <= N <= 2224 (for now) missing.

{
T=matrix(2500,5,m,n,0);

T[2001,2]=(x^7 + 3*x^6 -5*x^5 -18*x^4 + 4*x^3 + 26*x^2 + x -8)*(x^11 -2*x^10 -18*x^9 + 30*x^8 + 124*x^7 -152*x^6 -408*x^5 + 285*x^4 + 634*x^3 -93*x^2 -369*x -108)*(x^16 + x^15 -28*x^14 -27*x^13 + 316*x^12 + 295*x^11 -1835*x^10 -1665*x^9 + 5778*x^8 + 5124*x^7 -9405*x^6 -8288*x^5 + 6405*x^4 + 6032*x^3 -400*x^2 -1088*x -192)*(x^7 + x^6 -10*x^5 -10*x^4 + 29*x^3 + 29*x^2 -24*x -23)*(x^5 + 2*x^4 -7*x^3 -13*x^2 + 11*x + 19)*(x^14 + 2*x^13 -18*x^12 -34*x^11 + 124*x^10 + 216*x^9 -420*x^8 -647*x^7 + 750*x^6 + 939*x^5 -717*x^4 -604*x^3 + 352*x^2 + 128*x -64)*(x^10 -3*x^9 -14*x^8 + 49*x^7 + 45*x^6 -254*x^5 + 89*x^4 + 388*x^3 -441*x^2 + 160*x -16)*(x^20 -2*x^19 -33*x^18 + 64*x^17 + 453*x^16 -846*x^15 -3353*x^14 + 5985*x^13 + 14484*x^12 -24566*x^11 -36791*x^10 + 59410*x^9 + 52109*x^8 -82362*x^7 -34967*x^6 + 60661*x^5 + 5201*x^4 -19624*x^3 + 2768*x^2 + 1408*x -256)*(x^2 -5)^2*(x^2 -x -1)^2*(x^3 -2*x^2 -4*x + 7)^2*(x^16 -3*x^15 -22*x^14 + 68*x^13 + 187*x^12 -597*x^11 -795*x^10 + 2592*x^9 + 1860*x^8 -5877*x^7 -2496*x^6 + 6612*x^5 + 1842*x^4 -3011*x^3 -505*x^2 + 336*x + 64)^2*(x^10 + 3*x^9 -10*x^8 -32*x^7 + 32*x^6 + 118*x^5 -29*x^4 -182*x^3 -28*x^2 + 101*x + 43)^2*(x^12 + 3*x^11 -13*x^10 -41*x^9 + 54*x^8 + 188*x^7 -77*x^6 -342*x^5 + 13*x^4 + 215*x^3 + 9*x^2 -37*x -5)^2*(x^13 -4*x^12 -11*x^11 + 58*x^10 + 24*x^9 -298*x^8 + 97*x^7 + 641*x^6 -402*x^5 -547*x^4 + 352*x^3 + 219*x^2 -88*x -40)^2*(x + 1)^3*(x -1)^4*(x^2 + x -1)^4*(x^2 + 2*x -1)^4*(x )^8;
T[2001,3]=(x^24 + 3*x^23 + 21*x^22 + 55*x^21 + 218*x^20 + 504*x^19 + 1491*x^18 + 3074*x^17 + 7572*x^16 + 14047*x^15 + 30444*x^14 + 51227*x^13 + 100313*x^12 + 153681*x^11 + 273996*x^10 + 379269*x^9 + 613332*x^8 + 746982*x^7 + 1086939*x^6 + 1102248*x^5 + 1430298*x^4 + 1082565*x^3 + 1240029*x^2 + 531441*x + 531441)*(x^32 -5*x^31 + 25*x^30 -81*x^29 + 256*x^28 -642*x^27 + 1565*x^26 -3244*x^25 + 6609*x^24 -11798*x^23 + 21167*x^22 -33862*x^21 + 57059*x^20 -86765*x^19 + 148335*x^18 -229759*x^17 + 419134*x^16 -689277*x^15 + 1335015*x^14 -2342655*x^13 + 4621779*x^12 -8228466*x^11 + 15430743*x^10 -25802226*x^9 + 43361649*x^8 -63851652*x^7 + 92411685*x^6 -113728374*x^5 + 136048896*x^4 -129140163*x^3 + 119574225*x^2 -71744535*x + 43046721)*(x^20 + 9*x^19 + 52*x^18 + 224*x^17 + 797*x^16 + 2431*x^15 + 6534*x^14 + 15719*x^13 + 34197*x^12 + 67773*x^11 + 122693*x^10 + 203319*x^9 + 307773*x^8 + 424413*x^7 + 529254*x^6 + 590733*x^5 + 581013*x^4 + 489888*x^3 + 341172*x^2 + 177147*x + 59049)*(x^26 -3*x^25 + 17*x^24 -43*x^23 + 152*x^22 -350*x^21 + 978*x^20 -2059*x^19 + 4962*x^18 -9591*x^17 + 20755*x^16 -37030*x^15 + 73143*x^14 -120584*x^13 + 219429*x^12 -333270*x^11 + 560385*x^10 -776871*x^9 + 1205766*x^8 -1501011*x^7 + 2138886*x^6 -2296350*x^5 + 2991816*x^4 -2539107*x^3 + 3011499*x^2 -1594323*x + 1594323)*(x^4 -2*x^3 + 5*x^2 -6*x + 9)^2*(x^4 + x^2 + 9)^2*(x -1)^59*(x + 1)^60;
T[2001,5]=(x -4)*(x -3)*(x^7 + 3*x^6 -9*x^5 -30*x^4 -5*x^3 + 29*x^2 + 6*x -8)*(x^11 -2*x^10 -27*x^9 + 53*x^8 + 233*x^7 -387*x^6 -862*x^5 + 896*x^4 + 1499*x^3 -470*x^2 -764*x -8)*(x^16 -3*x^15 -47*x^14 + 142*x^13 + 862*x^12 -2674*x^11 -7691*x^10 + 25446*x^9 + 32879*x^8 -127665*x^7 -45374*x^6 + 313392*x^5 -82804*x^4 -271940*x^3 + 206600*x^2 -47632*x + 3072)*(x^20 + x^19 -73*x^18 -56*x^17 + 2230*x^16 + 1202*x^15 -36939*x^14 -12062*x^13 + 359215*x^12 + 50979*x^11 -2075476*x^10 + 4762*x^9 + 6895808*x^8 -659076*x^7 -12185864*x^6 + 1611680*x^5 + 9824768*x^4 -805952*x^3 -2574080*x^2 -347648*x + 34304)*(x^2 + 3*x -2)*(x^2 -6)*(x^5 + 3*x^4 -9*x^3 -28*x^2 + 17*x + 57)*(x^14 + 3*x^13 -37*x^12 -96*x^11 + 479*x^10 + 1025*x^9 -2540*x^8 -4192*x^7 + 5276*x^6 + 5532*x^5 -5256*x^4 -1904*x^3 + 1920*x^2 -128)*(x^4 + 2*x^3 -6*x^2 -8*x + 4)*(x^7 + 5*x^6 -3*x^5 -40*x^4 -15*x^3 + 87*x^2 + 36*x -28)*(x^10 -6*x^9 -5*x^8 + 69*x^7 -27*x^6 -223*x^5 + 158*x^4 + 180*x^3 -185*x^2 + 38*x -2)*(x + 2)^2*(x^2 -2*x -4)^2*(x^3 -16*x + 8)^2*(x^10 + 10*x^9 + 20*x^8 -82*x^7 -310*x^6 + 27*x^5 + 1109*x^4 + 884*x^3 -961*x^2 -1352*x -349)^2*(x^16 -16*x^15 + 73*x^14 + 112*x^13 -1738*x^12 + 2509*x^11 + 13033*x^10 -36247*x^9 -37488*x^8 + 186834*x^7 + 11026*x^6 -455162*x^5 + 121383*x^4 + 506820*x^3 -126004*x^2 -189152*x -33344)^2*(x^12 + 16*x^11 + 91*x^10 + 162*x^9 -396*x^8 -1943*x^7 -1627*x^6 + 2991*x^5 + 4808*x^4 -660*x^3 -3214*x^2 -300*x + 583)^2*(x^13 -16*x^12 + 86*x^11 -72*x^10 -1022*x^9 + 3861*x^8 -2653*x^7 -12522*x^6 + 31627*x^5 -27980*x^4 + 7871*x^3 + 1214*x^2 -736*x + 64)^2*(x )^3*(x^2 + 2*x -4)^6*(x + 1)^8;

T[2002,2]=(x^2 + x + 2)*(x^10 + 2*x^9 + 6*x^8 + 9*x^7 + 19*x^6 + 24*x^5 + 38*x^4 + 36*x^3 + 48*x^2 + 32*x + 32)*(x^10 + 4*x^8 + x^7 + 9*x^6 + 2*x^5 + 18*x^4 + 4*x^3 + 32*x^2 + 32)*(x^14 -5*x^12 -x^11 + 11*x^10 + 9*x^9 -9*x^8 -28*x^7 -18*x^6 + 36*x^5 + 88*x^4 -16*x^3 -160*x^2 + 128)*(x^22 + x^21 + 4*x^20 + 5*x^19 + 13*x^18 + 18*x^17 + 40*x^16 + 49*x^15 + 100*x^14 + 127*x^13 + 230*x^12 + 284*x^11 + 460*x^10 + 508*x^9 + 800*x^8 + 784*x^7 + 1280*x^6 + 1152*x^5 + 1664*x^4 + 1280*x^3 + 2048*x^2 + 1024*x + 2048)*(x^10 + 2*x^9 + 6*x^8 + 9*x^7 + 17*x^6 + 22*x^5 + 34*x^4 + 36*x^3 + 48*x^2 + 32*x + 32)*(x^8 + 2*x^6 + x^5 + 7*x^4 + 2*x^3 + 8*x^2 + 16)*(x^8 + 2*x^7 + 2*x^6 -x^5 -5*x^4 -2*x^3 + 8*x^2 + 16*x + 16)*(x^16 -2*x^15 + 4*x^14 -7*x^13 + 12*x^12 -16*x^11 + 22*x^10 -29*x^9 + 33*x^8 -58*x^7 + 88*x^6 -128*x^5 + 192*x^4 -224*x^3 + 256*x^2 -256*x + 256)*(x^12 + 2*x^10 + 2*x^9 + 4*x^8 + 5*x^7 + 4*x^6 + 10*x^5 + 16*x^4 + 16*x^3 + 32*x^2 + 64)^2*(x^6 -x^5 + 2*x^4 -2*x^3 + 4*x^2 -4*x + 8)^2*(x^4 + 2*x^2 + 4)^2*(x^8 -3*x^7 + 7*x^6 -13*x^5 + 21*x^4 -26*x^3 + 28*x^2 -24*x + 16)^2*(x^4 -x^2 + 4)^3*(x^2 -x + 2)^7*(x^2 + 2*x + 2)^7*(x^2 + 2)^9*(x -1)^55*(x + 1)^56;
T[2002,3]=(x^2 + x -3)*(x^2 + 3*x + 1)*(x^2 -x -3)*(x^3 -3*x^2 -7*x + 20)*(x^3 + 3*x^2 -x -4)*(x^4 + 2*x^3 -5*x^2 -10*x -1)*(x^5 -4*x^4 -7*x^3 + 36*x^2 -x -52)*(x^5 -13*x^3 -2*x^2 + 41*x + 16)*(x^5 + 2*x^4 -7*x^3 -8*x^2 + 13*x + 4)*(x^5 + 2*x^4 -11*x^3 -16*x^2 + 21*x + 16)*(x^3 -x^2 -5*x + 4)*(x^5 -4*x^4 -x^3 + 14*x^2 -3*x -8)*(x^4 + 2*x^3 -5*x^2 -6*x -1)*(x^6 -15*x^4 + 51*x^2 -48)*(x^2 -x -5)^2*(x^2 -3*x + 1)^2*(x^2 + x -1)^2*(x^2 + 2*x -4)^2*(x^3 -x^2 -10*x + 8)^2*(x^3 + x^2 -9*x -12)^2*(x^4 + x^3 -4*x^2 -2*x + 3)^2*(x^4 + x^3 -6*x^2 -2*x + 1)^2*(x^5 + 4*x^4 -x^3 -18*x^2 -17*x -1)^2*(x^5 + 3*x^4 -4*x^3 -8*x^2 + 9*x -2)^2*(x^5 -7*x^3 -2*x^2 + 3*x + 1)^2*(x^7 -6*x^6 + 2*x^5 + 45*x^4 -71*x^3 -31*x^2 + 97*x -38)^2*(x^11 -2*x^10 -22*x^9 + 42*x^8 + 165*x^7 -289*x^6 -514*x^5 + 795*x^4 + 547*x^3 -745*x^2 + 86*x + 32)^2*(x^8 + x^7 -13*x^6 -7*x^5 + 44*x^4 + 19*x^3 -47*x^2 -18*x + 9)^2*(x -3)^4*(x^2 -2)^4*(x^2 -2*x -4)^4*(x^3 + 2*x^2 -6*x -8)^4*(x^4 -7*x^2 + 4*x + 1)^4*(x^6 -3*x^5 -11*x^4 + 33*x^3 + 25*x^2 -91*x + 28)^4*(x + 3)^10*(x + 2)^10*(x -1)^12*(x -2)^12*(x )^15*(x + 1)^18;
T[2002,5]=(x^3 + x^2 -7*x -8)*(x^3 + 5*x^2 + 3*x -8)*(x^4 + 2*x^3 -7*x^2 -6*x -1)*(x^5 -15*x^3 + 6*x^2 + 57*x -44)*(x^5 -4*x^4 -13*x^3 + 54*x^2 + x -34)*(x^5 -4*x^4 -9*x^3 + 42*x^2 + 9*x -86)*(x^5 + 6*x^4 -3*x^3 -44*x^2 + 9*x + 34)*(x^2 + 5*x + 5)*(x^4 + 2*x^3 -7*x^2 -18*x -9)*(x^6 -21*x^4 + 87*x^2 -12)*(x^3 -5*x^2 + x + 14)*(x^5 -2*x^4 -9*x^3 + 18*x^2 + 7*x -18)*(x^2 + x -5)^2*(x^2 + x -1)^2*(x^2 -3*x + 1)^2*(x^2 -2*x -4)^2*(x^3 -2*x^2 -9*x + 2)^2*(x^4 + 5*x^3 -16*x + 7)^2*(x^5 -13*x^3 -2*x^2 + 15*x + 7)^2*(x^8 + 5*x^7 -13*x^6 -75*x^5 + 20*x^4 + 225*x^3 + 129*x^2 -10*x -1)^2*(x^4 -5*x^3 + 4*x^2 + 8*x -9)^2*(x^7 -9*x^6 + 16*x^5 + 61*x^4 -208*x^3 + 58*x^2 + 228*x -41)^2*(x^3 -x^2 -15*x + 18)^2*(x^5 + 4*x^4 -5*x^3 -28*x^2 -23*x -1)^2*(x^2 + x -3)^2*(x^5 + 6*x^4 + 9*x^3 -2*x^2 -7*x + 1)^2*(x^11 -7*x^10 -8*x^9 + 138*x^8 -95*x^7 -896*x^6 + 1011*x^5 + 2307*x^4 -2638*x^3 -1846*x^2 + 1567*x -174)^2*(x -4)^3*(x + 4)^4*(x^2 -6*x + 7)^4*(x^3 -2*x^2 -3*x + 2)^4*(x^4 -16*x^2 + 8*x + 16)^4*(x^6 -x^5 -26*x^4 + 32*x^3 + 152*x^2 -256*x + 96)^4*(x -3)^6*(x -2)^8*(x )^8*(x -1)^12*(x + 2)^14*(x + 3)^16*(x + 1)^18;

T[2003,2]=(x^92 -5*x^91 -130*x^90 + 682*x^89 + 8082*x^88 -44782*x^87 -319581*x^86 + 1885497*x^85 + 9014739*x^84 -57206041*x^83 -192741510*x^82 + 1332584672*x^81 + 3236901499*x^80 -24797199148*x^79 -43599529474*x^78 + 378670886883*x^77 + 475511135377*x^76 -4837938741164*x^75 -4186363753716*x^74 + 52461247439730*x^73 + 29024265406911*x^72 -488156014981249*x^71 -145489800221182*x^70 + 3931108386203149*x^69 + 335442132304988*x^68 -27580435170197431*x^67 + 2615779262624587*x^66 + 169468284822120416*x^65 -42303795329210362*x^64 -915695369282580630*x^63 + 351906124576179451*x^62 + 4364693008077366030*x^61 -2194918319102602882*x^60 -18395669231773170827*x^59 + 11193149953851595471*x^58 + 68668236058933164041*x^57 -48311303100162239759*x^56 -227261938789118467360*x^55 + 179572229125763123464*x^54 + 667168874253546905329*x^53 -580445133097035249545*x^52 -1737244792162116050315*x^51 + 1641042255115003606245*x^50 + 4010125933335239589375*x^49 -4071740972663481018832*x^48 -8197112285297078602447*x^47 + 8882044233029556292879*x^46 + 14814142866917256362177*x^45 -17044329942656457836859*x^44 -23619539508731337255704*x^43 + 28763276183351130426343*x^42 + 33132147040966459342168*x^41 -42638233605784461743644*x^40 -40749180457835466983506*x^39 + 55418838267392892587515*x^38 + 43756375233481681519546*x^37 -62994480461368658549123*x^36 -40809322699512902079456*x^35 + 62418621561375960022495*x^34 + 32846130613217729619319*x^33 -53696344737109498557249*x^32 -22631836358959624112699*x^31 + 39910572883293182306790*x^30 + 13212010946450139593199*x^29 -25481986399169557646127*x^28 -6444680495870266049928*x^27 + 13880385888765294045530*x^26 + 2575020531332701771659*x^25 -6398196072684999122525*x^24 -816469367957552044593*x^23 + 2471670958859116935930*x^22 + 193332575218202282842*x^21 -790951817592281071785*x^20 -28940521811253376895*x^19 + 206733940085889804530*x^18 + 442911982025386303*x^17 -43374843544192614777*x^16 + 1108612586177942822*x^15 + 7147457453949176670*x^14 -334903080748409380*x^13 -899243646066349094*x^12 + 55804867431103334*x^11 + 83142320434386965*x^10 -5947135714080277*x^9 -5347249903916970*x^8 + 405653531938888*x^7 + 219391463729464*x^6 -16736070210512*x^5 -4901309245632*x^4 + 374472227264*x^3 + 39901422848*x^2 -3777592064*x + 66247168)*(x^75 + 7*x^74 -82*x^73 -672*x^72 + 3020*x^71 + 30684*x^70 -63461*x^69 -886987*x^68 + 743018*x^67 + 18227564*x^66 -1494976*x^65 -283462632*x^64 -124626517*x^63 + 3467270610*x^62 + 2882596337*x^61 -34228227304*x^60 -39229527083*x^59 + 277634632142*x^58 + 392720308842*x^57 -1874093825934*x^56 -3104453874588*x^55 + 10623307225299*x^54 + 20044036978691*x^53 -50880974009883*x^52 -107767519915809*x^51 + 206685906714343*x^50 + 488410086636909*x^49 -713170455367194*x^48 -1880819043931880*x^47 + 2088643056339331*x^46 + 6186561887336640*x^45 -5173418038625173*x^44 -17438180182877985*x^43 + 10756973693854742*x^42 + 42192657455048922*x^41 -18514998117852705*x^40 -87665334329266511*x^39 + 25670539545276089*x^38 + 156296081032420366*x^37 -26937394559714702*x^36 -238676559255017036*x^35 + 17356013571004927*x^34 + 311300074142965589*x^33 + 2940951894168932*x^32 -345443959802207517*x^31 -26454029084644834*x^30 + 324541786392994789*x^29 + 42317311628250481*x^28 -256595641182492765*x^27 -44138428131841911*x^26 + 169512667731102734*x^25 + 34260250452501522*x^24 -92784886311341477*x^23 -20499257590873376*x^22 + 41670111659051174*x^21 + 9518907650489371*x^20 -15180937062048298*x^19 -3406741747047157*x^18 + 4426571421565311*x^17 + 924106278663941*x^16 -1016314816052964*x^15 -184937895225931*x^14 + 179899438975346*x^13 + 26207210551528*x^12 -23845093542151*x^11 -2463228606471*x^10 + 2266597081041*x^9 + 136531870916*x^8 -144531481075*x^7 -3437549788*x^6 + 5561582016*x^5 + 22068952*x^4 -109480514*x^3 -1834938*x^2 + 942003*x + 46429);
T[2003,3]=(x^92 -16*x^91 -61*x^90 + 2294*x^89 -3509*x^88 -152209*x^87 + 599545*x^86 + 6107868*x^85 -36882809*x^84 -160096498*x^83 + 1430107050*x^82 + 2619321958*x^81 -40035148693*x^80 -14896801820*x^79 + 860468339323*x^78 -556213742866*x^77 -14689388899731*x^76 + 21545970692337*x^75 + 203134821386876*x^74 -451392636924826*x^73 -2297760472909111*x^72 + 6938726716640958*x^71 + 21261616158460877*x^70 -84975392440087203*x^69 -158683786432038330*x^68 + 859842868705451327*x^67 + 912343462685296882*x^66 -7333749697983367236*x^65 -3426569507709096129*x^64 + 53368622016529929677*x^63 -72569069281664657*x^62 -333902286873409513234*x^61 + 131627487563750966759*x^60 + 1804394586856587384676*x^59 -1341604217207933710672*x^58 -8440877757717823342225*x^57 + 9065037299558604723665*x^56 + 34180070783044097545164*x^55 -48148400698267920208295*x^54 -119496127584242559120786*x^53 + 212143078028878478735252*x^52 + 358461210239432658737734*x^51 -794093531593105886368172*x^50 -911457049591946074226366*x^49 + 2556581217264772653534055*x^48 + 1916782113415303623313155*x^47 -7127134560674787869707394*x^46 -3148817738920887281549866*x^45 + 17265318709558037487018401*x^44 + 3342041814520965410361426*x^43 -36397076547897419612505993*x^42 + 502227354235497508542082*x^41 + 66763437475020962048640690*x^40 -12882919468665386438180383*x^39 -106404386185949287316484765*x^38 + 37586566972125327269900322*x^37 + 146938377067233892735420049*x^36 -73805518014368725999009509*x^35 -175087609975040854971750297*x^34 + 113342644024887655255565513*x^33 + 178957987180909881724823176*x^32 -142550392366747644393618204*x^31 -155601098937905836733386816*x^30 + 149513338067017293595631161*x^29 + 113719578685468223680686909*x^28 -131673021200496551258456231*x^27 -68586562352019999869119943*x^26 + 97459931492382651658384903*x^25 + 33080128077886348475447170*x^24 -60450254852208518826190737*x^23 -11951063020472367887820298*x^22 + 31231378454507115881768616*x^21 + 2640476837662434544019426*x^20 -13319188231087912545442884*x^19 + 95016504178652433029416*x^18 + 4631103589544953647359882*x^17 -379489125016757660877158*x^16 -1291453694686412846473102*x^15 + 184404250242304329234598*x^14 + 282655230399178255688508*x^13 -54029061320758066538458*x^12 -47183713226511806682658*x^11 + 10704249720558236516792*x^10 + 5784586440502917939176*x^9 -1429374855887588682706*x^8 -496109269594285686815*x^7 + 120905369302091696447*x^6 + 28139734800468715289*x^5 -5591344330521125674*x^4 -1004132698035215936*x^3 + 91229573492144793*x^2 + 19962942354101448*x + 771698985985859)*(x^75 + 18*x^74 + 19*x^73 -1544*x^72 -8010*x^71 + 53475*x^70 + 493760*x^69 -718370*x^68 -16499758*x^67 -11223344*x^66 + 362027211*x^65 + 755393690*x^64 -5584116597*x^63 -18997449737*x^62 + 61308375387*x^61 + 314902400341*x^60 -450635845502*x^59 -3873189956037*x^58 + 1468317385958*x^57 + 37110870977075*x^56 + 13248570428272*x^55 -283847844168879*x^54 -269353617806264*x^53 + 1753943589024898*x^52 + 2617752315874092*x^51 -8779716525056041*x^50 -18155816413198500*x^49 + 35333829539415055*x^48 + 98387093044882897*x^47 -111460348922280275*x^46 -431805283528537128*x^45 + 256293975772349243*x^44 + 1561800413110738439*x^43 -316315331240650365*x^42 -4696807974741770797*x^41 -471716489926684396*x^40 + 11790552920829973108*x^39 + 4113967452353733684*x^38 -24719127938232250378*x^37 -13950728319975041448*x^36 + 43174674782067348236*x^35 + 32937813105161827302*x^34 -62475371753512593231*x^33 -59947603011740507203*x^32 + 74191641923421247315*x^31 + 86996486230413814521*x^30 -71194324815161682675*x^29 -101896126491362322987*x^28 + 53757320306206749116*x^27 + 96528201440494333487*x^26 -30303447559646203065*x^25 -73651463722908522132*x^24 + 11071923758611126302*x^23 + 44842539573197456537*x^22 -936465451338680039*x^21 -21469122358243791102*x^20 -1814784606292578008*x^19 + 7912999494093019353*x^18 + 1369191741591625601*x^17 -2178175330087401129*x^16 -545562208983334806*x^15 + 428261029046276007*x^14 + 138452067940183864*x^13 -56073648228416078*x^12 -22579832245732733*x^11 + 4304767801502565*x^10 + 2244233465002084*x^9 -138349079476581*x^8 -121686439237595*x^7 -1528126140433*x^6 + 2988942470293*x^5 + 124865255743*x^4 -29042528778*x^3 -1205130298*x^2 + 86933361*x + 1302571);
T[2003,5]=(x^92 -24*x^91 -5*x^90 + 4622*x^89 -26745*x^88 -382147*x^87 + 3904391*x^86 + 15747465*x^85 -298416011*x^84 -115245991*x^83 + 15056488198*x^82 -26414204021*x^81 -544777823324*x^80 + 1895912406694*x^79 + 14580257441643*x^78 -77849070614244*x^77 -285773283439613*x^76 + 2308439023877919*x^75 + 3726534077780443*x^74 -53209036359713468*x^73 -15469800112213689*x^72 + 986299778798720576*x^71 -694360428166587547*x^70 -14959241308159523804*x^69 + 23320095510763066768*x^68 + 186975544841190433255*x^67 -448943585596097994204*x^66 -1921560744431744076425*x^65 + 6470637328877122270883*x^64 + 15981168586127382493223*x^63 -75085003233017158028075*x^62 -102665919477608813541627*x^61 + 723416953033902636637540*x^60 + 434285461478899755499481*x^59 -5877711862176273024419570*x^58 -80086236555251789837898*x^57 + 40601827991620517061531268*x^56 -19177878919878635745188009*x^55 -239307182838431328688883257*x^54 + 217052388516388663706683638*x^53 + 1203500547931396867259681271*x^52 -1599553589696265138465192726*x^51 -5145664671514546377394948720*x^50 + 9155264257193631912494982730*x^49 + 18545509689281299022086128334*x^48 -42943949334517855668109060489*x^47 -55393954824511562899471574374*x^46 + 168868850192033069516397538124*x^45 + 132312923990293209146918244026*x^44 -562724359883659854874493323065*x^43 -230284347645694662926515323145*x^42 + 1596959651363509153012763660752*x^41 + 188251592198830465120026563490*x^40 -3865631025326985024552141812295*x^39 + 457578001598179083267045059667*x^38 + 7975242912500996238183416812966*x^37 -2526517460827724609217164379589*x^36 -13987571358148015310770850904886*x^35 + 6839878162161662783782258313735*x^34 + 20767741354163739382690525560978*x^33 -13362494738938413660218510054125*x^32 -25951564060299586851095695250032*x^31 + 20418636597545411334948284758718*x^30 + 27089591549680640244498966422765*x^29 -25058247339449929768957514769923*x^28 -23399605247420090139408360092354*x^27 + 24893653574414291595747871316082*x^26 + 16531554336186155742521132859979*x^25 -19996421479120182151650443803435*x^24 -9416970424026105611218184612892*x^23 + 12898520455321587693600641045796*x^22 + 4251020648859920938494407051691*x^21 -6604202574615155140265781530218*x^20 -1490126682386897979917782498565*x^19 + 2641434372371040231021377539434*x^18 + 396689060468920158730855327618*x^17 -808489944259475206018963235532*x^16 -78693836609084011264097139636*x^15 + 184657347209741586278436666488*x^14 + 11627420716666534327678244656*x^13 -30540038285591830771319417024*x^12 -1338685873501325376255081280*x^11 + 3528537743618957202523942528*x^10 + 129940152937360822075283712*x^9 -271767425486987035000274432*x^8 -10531747328826563011164160*x^7 + 13000264773466545729388544*x^6 + 603750134095054317264896*x^5 -339389535853014237896704*x^4 -19266710115473556619264*x^3 + 3469432270499741106176*x^2 + 233454025434447675392*x + 3648853587992117248)*(x^75 + 24*x^74 + 85*x^73 -2458*x^72 -22457*x^71 + 77973*x^70 + 1645713*x^69 + 1426825*x^68 -66051925*x^67 -214842327*x^66 + 1654644726*x^65 + 9341584793*x^64 -25269479676*x^63 -252214682148*x^62 + 143696097017*x^61 + 4851521392332*x^60 + 3651797054237*x^59 -70029261257227*x^58 -126378799230217*x^57 + 772908559247358*x^56 + 2213809078505709*x^55 -6472328741906980*x^54 -27513378684726905*x^53 + 38891397628583112*x^52 + 264205302224600658*x^51 -129584361657765799*x^50 -2030802692086176984*x^49 -341616960677662515*x^48 + 12706789288563553477*x^47 + 8882711824316742295*x^46 -65170486244806785693*x^45 -76894180362919940849*x^44 + 273760459297398545144*x^43 + 458547716026047816097*x^42 -932681860185412944138*x^41 -2115443312306600963158*x^40 + 2512085099330282246076*x^39 + 7858740115577460899967*x^38 -5007370801264939596697*x^37 -23907786663626134350870*x^36 + 5778230490399133367913*x^35 + 59941638575765403402892*x^34 + 3876119312126545281272*x^33 -123871884890114021414828*x^32 -39437264917508947263514*x^31 + 209974220677055046798355*x^30 + 114207436617360622495494*x^29 -289021450431351817334160*x^28 -220416854297119362888784*x^27 + 317522962161545860709219*x^26 + 317850019689946855935835*x^25 -270245546163423565137342*x^24 -353297782825767143388256*x^23 + 168023195760942694412943*x^22 + 304074801902188313250803*x^21 -65059824980557939299256*x^20 -200719617253979392472627*x^19 + 3678175787015268335684*x^18 + 99466057521975126589389*x^17 + 13657153605327712218306*x^16 -35692953359387544851647*x^15 -9681468466998506145612*x^14 + 8731360249270709760248*x^13 + 3525501023721130074131*x^12 -1298368649267356724475*x^11 -753729758630071921346*x^10 + 85663617526134922430*x^9 + 90749218028219107581*x^8 + 2083821895770746155*x^7 -5437036109365158628*x^6 -483558195633367578*x^5 + 136532711589506785*x^4 + 12937520983023906*x^3 -1489322797186277*x^2 -69371221325956*x + 2623886138374);

T[2004,2]=(x^2 -x + 2)*(x^10 + 5*x^8 + 14*x^6 + x^5 + 28*x^4 + 40*x^2 + 32)*(x^16 -3*x^15 + 8*x^14 -14*x^13 + 25*x^12 -36*x^11 + 57*x^10 -81*x^9 + 125*x^8 -162*x^7 + 228*x^6 -288*x^5 + 400*x^4 -448*x^3 + 512*x^2 -384*x + 256)*(x^16 + 3*x^15 + 6*x^14 + 8*x^13 + 9*x^12 + 12*x^11 + 27*x^10 + 59*x^9 + 93*x^8 + 118*x^7 + 108*x^6 + 96*x^5 + 144*x^4 + 256*x^3 + 384*x^2 + 384*x + 256)*(x^10 + 4*x^9 + 11*x^8 + 24*x^7 + 44*x^6 + 67*x^5 + 88*x^4 + 96*x^3 + 88*x^2 + 64*x + 32)*(x^4 + x^3 + 3*x^2 + 2*x + 4)^2*(x^24 -2*x^23 + 7*x^22 -11*x^21 + 27*x^20 -35*x^19 + 71*x^18 -87*x^17 + 175*x^16 -223*x^15 + 447*x^14 -558*x^13 + 989*x^12 -1116*x^11 + 1788*x^10 -1784*x^9 + 2800*x^8 -2784*x^7 + 4544*x^6 -4480*x^5 + 6912*x^4 -5632*x^3 + 7168*x^2 -4096*x + 4096)^2*(x -1)^27*(x + 1)^28*(x )^166;
T[2004,3]=(x^4 -x^3 + 3*x^2 -3*x + 9)*(x^10 -3*x^9 + 9*x^8 -19*x^7 + 45*x^6 -83*x^5 + 135*x^4 -171*x^3 + 243*x^2 -243*x + 243)*(x^14 + 4*x^13 + 15*x^12 + 40*x^11 + 93*x^10 + 185*x^9 + 355*x^8 + 599*x^7 + 1065*x^6 + 1665*x^5 + 2511*x^4 + 3240*x^3 + 3645*x^2 + 2916*x + 2187)*(x^2 + 3)^2*(x^4 + 3*x^3 + 7*x^2 + 9*x + 9)^2*(x^6 + x^5 + 4*x^4 + 2*x^3 + 12*x^2 + 9*x + 27)^2*(x^4 -2*x^2 + 9)^2*(x^6 -x^5 + 2*x^4 + 2*x^3 + 6*x^2 -9*x + 27)^2*(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)^3*(x^4 + x^3 + 5*x^2 + 3*x + 9)^5*(x -1)^83*(x + 1)^84;
T[2004,5]=(x^5 + 7*x^4 + 11*x^3 -6*x^2 -21*x -9)*(x^5 + 3*x^4 -7*x^3 -16*x^2 + 15*x + 3)*(x^9 -x^8 -31*x^7 + 24*x^6 + 293*x^5 -101*x^4 -864*x^3 -278*x^2 + 24*x + 2)*(x^9 -9*x^8 + 7*x^7 + 126*x^6 -259*x^5 -405*x^4 + 964*x^3 + 506*x^2 -856*x -466)*(x^3 -3*x^2 -7*x + 19)^2*(x^7 + 2*x^6 -17*x^5 -42*x^4 + 28*x^3 + 88*x^2 -32)^2*(x^7 -5*x^6 -11*x^5 + 93*x^4 -110*x^3 -110*x^2 + 208*x -64)^2*(x^3 + 3*x^2 -x -1)^2*(x^2 + 4*x + 2)^2*(x^5 + x^4 -19*x^3 -21*x^2 + 60*x + 24)^2*(x^4 -5*x^3 + 20*x -8)^2*(x )^2*(x + 4)^3*(x^5 + x^4 -9*x^3 -2*x^2 + 17*x -1)^3*(x^5 + 9*x^4 + 25*x^3 + 12*x^2 -39*x -37)^3*(x^8 -x^7 -21*x^6 + 18*x^5 + 91*x^4 -117*x^3 -18*x^2 + 48*x -2)^3*(x^8 -7*x^7 + 7*x^6 + 50*x^5 -125*x^4 + 9*x^3 + 196*x^2 -124*x -18)^3*(x^2 -2*x -1)^4*(x^2 + 4*x -1)^4*(x^3 -13*x + 16)^4*(x -3)^6*(x + 3)^6*(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)^6*(x -2)^12*(x + 1)^34;

T[2005,2]=(x^3 + 3*x^2 -3)*(x^37 -11*x^36 + 2*x^35 + 398*x^34 -1108*x^33 -5679*x^32 + 27413*x^31 + 33805*x^30 -336862*x^29 + 62961*x^28 + 2522330*x^27 -2588491*x^26 -12232569*x^25 + 21191049*x^24 + 38232747*x^23 -99893733*x^22 -69097784*x^21 + 310309438*x^20 + 28715603*x^19 -659851944*x^18 + 194709056*x^17 + 963780844*x^16 -566303318*x^15 -946211005*x^14 + 811097812*x^13 + 587961049*x^12 -706380307*x^11 -192655199*x^10 + 383363223*x^9 + 1701809*x^8 -123727562*x^7 + 22711445*x^6 + 20364125*x^5 -7287701*x^4 -831612*x^3 + 724676*x^2 -109670*x + 4513)*(x^37 -7*x^36 -34*x^35 + 336*x^34 + 338*x^33 -7211*x^32 + 2369*x^31 + 91305*x^30 -96294*x^29 -757629*x^28 + 1186170*x^27 + 4323527*x^26 -8697717*x^25 -17287177*x^24 + 43106935*x^23 + 48165591*x^22 -151434960*x^21 -89804188*x^20 + 384539897*x^19 + 97261436*x^18 -709194538*x^17 -17259660*x^16 + 944311478*x^15 -122455425*x^14 -893216626*x^13 + 204483221*x^12 + 583352933*x^11 -165525701*x^10 -251271583*x^9 + 75000709*x^8 + 66270538*x^7 -18173119*x^6 -9391349*x^5 + 2030923*x^4 + 541362*x^3 -87822*x^2 -8856*x + 891)*(x^25 + 5*x^24 -25*x^23 -150*x^22 + 251*x^21 + 1957*x^20 -1241*x^19 -14587*x^18 + 2620*x^17 + 68551*x^16 + 2150*x^15 -211045*x^14 -24374*x^13 + 427060*x^12 + 55015*x^11 -552249*x^10 -60250*x^9 + 426184*x^8 + 39117*x^7 -171886*x^6 -20290*x^5 + 28575*x^4 + 5729*x^3 -936*x^2 -259*x -11)*(x^29 + 5*x^28 -26*x^27 -160*x^26 + 256*x^25 + 2235*x^24 -935*x^23 -17935*x^22 -2823*x^21 + 91540*x^20 + 44746*x^19 -310895*x^18 -216111*x^17 + 715044*x^16 + 590210*x^15 -1114852*x^14 -1004451*x^13 + 1167440*x^12 + 1084091*x^11 -808981*x^10 -733005*x^9 + 363628*x^8 + 300934*x^7 -102539*x^6 -70969*x^5 + 17109*x^4 + 8582*x^3 -1542*x^2 -392*x + 63)*(x + 1)^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)^2*(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)^2;
T[2005,3]=(x^3 + 3*x^2 -6*x -17)*(x^37 -13*x^36 + 4*x^35 + 640*x^34 -2139*x^33 -12332*x^32 + 71130*x^31 + 98384*x^30 -1180074*x^29 + 253041*x^28 + 12005295*x^27 -13638284*x^26 -80437385*x^25 + 149732896*x^24 + 362549283*x^23 -955704936*x^22 -1078163483*x^21 + 4085807376*x^20 + 1912674841*x^19 -12284985631*x^18 -1075267583*x^17 + 26501456844*x^16 -3627989429*x^15 -41240714128*x^14 + 10616569916*x^13 + 45987334339*x^12 -13764588616*x^11 -35915586912*x^10 + 10004460840*x^9 + 18684495964*x^8 -3963209312*x^7 -5850052896*x^6 + 722207744*x^5 + 894870592*x^4 -34963968*x^3 -43116544*x^2 -4635648*x -145664)*(x^37 -3*x^36 -78*x^35 + 236*x^34 + 2737*x^33 -8378*x^32 -57070*x^31 + 177508*x^30 + 786698*x^29 -2502045*x^28 -7544191*x^27 + 24764720*x^26 + 51536611*x^25 -177137588*x^24 -252139083*x^23 + 928674312*x^22 + 872365161*x^21 -3583154994*x^20 -2049241927*x^19 + 10133082945*x^18 + 2908602519*x^17 -20753754670*x^16 -1311892893*x^15 + 30147899092*x^14 -3447349740*x^13 -30057717401*x^12 + 7739183576*x^11 + 19517450648*x^10 -7392995504*x^9 -7514283840*x^8 + 3747439008*x^7 + 1382853696*x^6 -947683520*x^5 -36114112*x^4 + 90479360*x^3 -10454528*x^2 -1485824*x + 235264)*(x^25 + 10*x^24 + 4*x^23 -265*x^22 -696*x^21 + 2470*x^20 + 11055*x^19 -7403*x^18 -80473*x^17 -28093*x^16 + 324159*x^15 + 291350*x^14 -768356*x^13 -1007769*x^12 + 1066056*x^11 + 1891430*x^10 -775546*x^9 -2079094*x^8 + 137337*x^7 + 1313954*x^6 + 182049*x^5 -430570*x^4 -112365*x^3 + 54756*x^2 + 16880*x -672)*(x^29 + 3*x^28 -46*x^27 -134*x^26 + 931*x^25 + 2610*x^24 -10962*x^23 -29258*x^22 + 83606*x^21 + 209705*x^20 -435109*x^19 -1009326*x^18 + 1585529*x^17 + 3333200*x^16 -4085047*x^15 -7581092*x^14 + 7421125*x^13 + 11746150*x^12 -9362635*x^11 -12076121*x^10 + 7956073*x^9 + 7862874*x^8 -4315819*x^7 -2990484*x^6 + 1357912*x^5 + 570385*x^4 -203284*x^3 -38416*x^2 + 7408*x + 388)*(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)^2*(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)^2*(x )^2;
T[2005,5]=(x^24 + 7*x^23 + 51*x^22 + 243*x^21 + 1107*x^20 + 4115*x^19 + 14524*x^18 + 45020*x^17 + 133365*x^16 + 358917*x^15 + 930437*x^14 + 2229078*x^13 + 5170791*x^12 + 11145390*x^11 + 23260925*x^10 + 44864625*x^9 + 83353125*x^8 + 140687500*x^7 + 226937500*x^6 + 321484375*x^5 + 432421875*x^4 + 474609375*x^3 + 498046875*x^2 + 341796875*x + 244140625)*(x^42 -3*x^41 + 44*x^40 -106*x^39 + 967*x^38 -2005*x^37 + 14695*x^36 -26989*x^35 + 173952*x^34 -285742*x^33 + 1701023*x^32 -2511036*x^31 + 14251622*x^30 -18987168*x^29 + 104885321*x^28 -126878903*x^27 + 690217898*x^26 -765745421*x^25 + 4114408838*x^24 -4250575574*x^23 + 22413109668*x^22 -21974337872*x^21 + 112065548340*x^20 -106264389350*x^19 + 514301104750*x^18 -478590888125*x^17 + 2156930931250*x^16 -1982482859375*x^15 + 8194165703125*x^14 -7416862500000*x^13 + 27835199218750*x^12 -24521835937500*x^11 + 83057763671875*x^10 -69761230468750*x^9 + 212343750000000*x^8 -164727783203125*x^7 + 448455810546875*x^6 -305938720703125*x^5 + 737762451171875*x^4 -404357910156250*x^3 + 839233398437500*x^2 -286102294921875*x + 476837158203125)*(x + 1)^66*(x -1)^67;

T[2006,2]=(x^2 + 2)*(x^2 -x + 2)*(x^8 + 3*x^7 + 6*x^6 + 11*x^5 + 17*x^4 + 22*x^3 + 24*x^2 + 24*x + 16)*(x^2 -2*x + 2)*(x^32 + 6*x^31 + 27*x^30 + 90*x^29 + 258*x^28 + 636*x^27 + 1415*x^26 + 2841*x^25 + 5267*x^24 + 9017*x^23 + 14477*x^22 + 21833*x^21 + 31441*x^20 + 43557*x^19 + 59447*x^18 + 81092*x^17 + 113283*x^16 + 162184*x^15 + 237788*x^14 + 348456*x^13 + 503056*x^12 + 698656*x^11 + 926528*x^10 + 1154176*x^9 + 1348352*x^8 + 1454592*x^7 + 1448960*x^6 + 1302528*x^5 + 1056768*x^4 + 737280*x^3 + 442368*x^2 + 196608*x + 65536)*(x^20 + x^19 + 3*x^18 + 6*x^17 + 16*x^16 + 20*x^15 + 44*x^14 + 67*x^13 + 117*x^12 + 149*x^11 + 259*x^10 + 298*x^9 + 468*x^8 + 536*x^7 + 704*x^6 + 640*x^5 + 1024*x^4 + 768*x^3 + 768*x^2 + 512*x + 1024)*(x^44 -5*x^43 + 22*x^42 -72*x^41 + 215*x^40 -563*x^39 + 1385*x^38 -3148*x^37 + 6827*x^36 -14020*x^35 + 27748*x^34 -52666*x^33 + 96936*x^32 -172376*x^31 + 298450*x^30 -501595*x^29 + 823135*x^28 -1315390*x^27 + 2056463*x^26 -3137323*x^25 + 4688014*x^24 -6843446*x^23 + 9790076*x^22 -13686892*x^21 + 18752056*x^20 -25098584*x^19 + 32903408*x^18 -42092480*x^17 + 52680640*x^16 -64204160*x^15 + 76403200*x^14 -88256512*x^13 + 99262464*x^12 -107859968*x^11 + 113655808*x^10 -114851840*x^9 + 111853568*x^8 -103153664*x^7 + 90767360*x^6 -73793536*x^5 + 56360960*x^4 -37748736*x^3 + 23068672*x^2 -10485760*x + 4194304)*(x^36 -5*x^35 + 20*x^34 -58*x^33 + 152*x^32 -344*x^31 + 735*x^30 -1440*x^29 + 2727*x^28 -4866*x^27 + 8497*x^26 -14198*x^25 + 23403*x^24 -37248*x^23 + 58661*x^22 -89451*x^21 + 134796*x^20 -196502*x^19 + 282612*x^18 -393004*x^17 + 539184*x^16 -715608*x^15 + 938576*x^14 -1191936*x^13 + 1497792*x^12 -1817344*x^11 + 2175232*x^10 -2491392*x^9 + 2792448*x^8 -2949120*x^7 + 3010560*x^6 -2818048*x^5 + 2490368*x^4 -1900544*x^3 + 1310720*x^2 -655360*x + 262144)*(x^10 + x^8 + 2*x^7 + 2*x^6 + 4*x^4 + 8*x^3 + 8*x^2 + 32)^2*(x^2 + x + 2)^6*(x + 1)^44*(x -1)^45;
T[2006,3]=(x + 3)*(x^2 -x -1)*(x^2 -5)*(x^3 + x^2 -6*x + 2)*(x^4 -10*x^2 + 5)*(x^4 + 3*x^3 -4*x^2 -9*x + 5)*(x^4 + x^3 -5*x^2 -2*x + 4)*(x^8 -5*x^7 -8*x^6 + 57*x^5 + 26*x^4 -225*x^3 -80*x^2 + 301*x + 149)*(x^13 -7*x^12 -3*x^11 + 118*x^10 -176*x^9 -536*x^8 + 1352*x^7 + 390*x^6 -2933*x^5 + 1463*x^4 + 1219*x^3 -1132*x^2 + 236*x -8)*(x^3 -2*x^2 -4*x + 7)*(x^12 + 3*x^11 -21*x^10 -62*x^9 + 144*x^8 + 418*x^7 -370*x^6 -1042*x^5 + 417*x^4 + 935*x^3 -233*x^2 -228*x + 62)*(x^9 + x^8 -23*x^7 -18*x^6 + 185*x^5 + 91*x^4 -615*x^3 -126*x^2 + 668*x + 44)*(x + 2)^2*(x^3 -2*x^2 -5*x + 2)^2*(x^10 + 7*x^9 + 8*x^8 -34*x^7 -56*x^6 + 67*x^5 + 94*x^4 -66*x^3 -39*x^2 + 18*x -1)^2*(x^2 + 2*x -1)^2*(x^22 -7*x^21 -24*x^20 + 260*x^19 + 65*x^18 -3924*x^17 + 3122*x^16 + 31442*x^15 -41051*x^14 -147389*x^13 + 232957*x^12 + 425192*x^11 -712621*x^10 -787756*x^9 + 1209743*x^8 + 971082*x^7 -1052280*x^6 -768268*x^5 + 324016*x^4 + 292480*x^3 + 49984*x^2 + 1472*x -128)^2*(x^4 + 2*x^3 -5*x^2 -6*x + 4)^2*(x^16 + 7*x^15 -8*x^14 -154*x^13 -157*x^12 + 1228*x^11 + 2482*x^10 -3944*x^9 -13179*x^8 + 1539*x^7 + 30581*x^6 + 17216*x^5 -25563*x^4 -27478*x^3 -1953*x^2 + 4266*x + 540)^2*(x^18 -x^17 -35*x^16 + 29*x^15 + 504*x^14 -331*x^13 -3862*x^12 + 1901*x^11 + 16995*x^10 -5784*x^9 -43240*x^8 + 8592*x^7 + 60913*x^6 -3090*x^5 -42652*x^4 -5572*x^3 + 11672*x^2 + 3760*x + 128)^2*(x -1)^3*(x -3)^3*(x^5 + 2*x^4 -8*x^3 -11*x^2 + 13*x -1)^4*(x -2)^7*(x )^8*(x + 1)^9;
T[2006,5]=(x + 1)*(x^2 -5)*(x^2 + 5*x + 5)*(x^3 -5*x^2 + 2*x + 10)*(x^4 + 5*x^3 -x^2 -20*x -16)*(x^4 -3*x^3 -4*x^2 + 9*x + 5)*(x^4 -2*x^3 -6*x^2 + 2*x + 1)*(x^8 + 5*x^7 -22*x^6 -127*x^5 + 107*x^4 + 896*x^3 -32*x^2 -1540*x + 732)*(x^3 + 2*x^2 -4*x -7)*(x^4 -4*x^3 + 8*x -1)*(x^12 + x^11 -39*x^10 -34*x^9 + 543*x^8 + 341*x^7 -3291*x^6 -740*x^5 + 8502*x^4 -1868*x^3 -5868*x^2 + 1680*x + 648)*(x^13 -x^12 -39*x^11 + 62*x^10 + 491*x^9 -1083*x^8 -1953*x^7 + 6158*x^6 + 24*x^5 -9224*x^4 + 3264*x^3 + 4672*x^2 -1792*x -512)*(x^9 -7*x^8 -8*x^7 + 125*x^6 -39*x^5 -744*x^4 + 312*x^3 + 1772*x^2 -272*x -1136)*(x^3 + 4*x^2 -7*x -26)^2*(x^10 + 12*x^9 + 46*x^8 + 30*x^7 -182*x^6 -321*x^5 + 40*x^4 + 332*x^3 + 89*x^2 -61*x -1)^2*(x^22 -19*x^21 + 109*x^20 + 106*x^19 -3263*x^18 + 7528*x^17 + 30628*x^16 -140171*x^15 -76639*x^14 + 1098141*x^13 -580430*x^12 -4676299*x^11 + 5066538*x^10 + 11430392*x^9 -16677059*x^8 -15624562*x^7 + 27853007*x^6 + 10603948*x^5 -23054644*x^4 -2403696*x^3 + 7494640*x^2 -280704*x -41280)^2*(x^4 -x^3 -8*x^2 + 11*x + 1)^2*(x^16 + 21*x^15 + 169*x^14 + 568*x^13 -23*x^12 -5510*x^11 -11490*x^10 + 10507*x^9 + 58367*x^8 + 25683*x^7 -107844*x^6 -108569*x^5 + 65928*x^4 + 115076*x^3 + 10885*x^2 -31928*x -10177)^2*(x^18 -21*x^17 + 158*x^16 -327*x^15 -2075*x^14 + 13075*x^13 -13569*x^12 -86714*x^11 + 274292*x^10 -34459*x^9 -1004202*x^8 + 1403442*x^7 + 351838*x^6 -1914826*x^5 + 754279*x^4 + 701636*x^3 -431600*x^2 -65952*x + 53104)^2*(x -2)^4*(x^5 -2*x^4 -14*x^3 + 23*x^2 + 19*x + 1)^4*(x )^4*(x + 3)^5*(x -1)^8*(x + 2)^11;

T[2007,2]=(x + 1)*(x^2 -x -1)*(x^3 -x^2 -4*x + 3)*(x^3 -2*x^2 -3*x + 3)*(x^7 + 2*x^6 -8*x^5 -15*x^4 + 15*x^3 + 26*x^2 + 2*x -1)*(x^2 + x -3)*(x^3 -x^2 -3*x + 1)*(x^4 -4*x^3 + 2*x^2 + 5*x -3)*(x^6 -9*x^4 + 19*x^2 -9)*(x^6 -6*x^4 + 8*x^2 -1)*(x^12 + 7*x^11 + 6*x^10 -57*x^9 -122*x^8 + 105*x^7 + 430*x^6 + 73*x^5 -499*x^4 -242*x^3 + 143*x^2 + 52*x -19)*(x^14 -22*x^12 -x^11 + 187*x^10 + 14*x^9 -774*x^8 -70*x^7 + 1622*x^6 + 168*x^5 -1617*x^4 -219*x^3 + 604*x^2 + 126*x -11)*(x^26 -43*x^24 + 809*x^22 -8752*x^20 + 60183*x^18 -274559*x^16 + 842161*x^14 -1724315*x^12 + 2296405*x^10 -1898043*x^8 + 901804*x^6 -215069*x^4 + 19237*x^2 -27)*(x -1)^2*(x^2 + x -1)^2*(x^3 + x^2 -4*x -3)^2*(x^3 + 2*x^2 -3*x -3)^2*(x^7 -2*x^6 -8*x^5 + 15*x^4 + 15*x^3 -26*x^2 + 2*x + 1)^2*(x^2 -x -3)^2*(x^2 -2*x -1)^2*(x^3 + x^2 -3*x -1)^2*(x^14 -22*x^12 + x^11 + 187*x^10 -14*x^9 -774*x^8 + 70*x^7 + 1622*x^6 -168*x^5 -1617*x^4 + 219*x^3 + 604*x^2 -126*x -11)^2*(x^4 + 4*x^3 + 2*x^2 -5*x -3)^3*(x^12 -7*x^11 + 6*x^10 + 57*x^9 -122*x^8 -105*x^7 + 430*x^6 -73*x^5 -499*x^4 + 242*x^3 + 143*x^2 -52*x -19)^3*(x^2 + 2*x -1)^5;
T[2007,3]=(x^4 + 2*x^3 + 5*x^2 + 6*x + 9)*(x^8 + 8*x^6 + x^5 + 31*x^4 + 3*x^3 + 72*x^2 + 81)*(x^24 + 9*x^22 + 7*x^21 + 47*x^20 + 58*x^19 + 226*x^18 + 333*x^17 + 853*x^16 + 1605*x^15 + 2885*x^14 + 5607*x^13 + 9398*x^12 + 16821*x^11 + 25965*x^10 + 43335*x^9 + 69093*x^8 + 80919*x^7 + 164754*x^6 + 126846*x^5 + 308367*x^4 + 137781*x^3 + 531441*x^2 + 531441)*(x + 1)^18*(x -1)^19*(x )^148;
T[2007,5]=(x^2 -6*x + 7)*(x^2 -4*x + 2)*(x^3 -5*x^2 + 5*x + 1)*(x^14 + x^13 -47*x^12 -63*x^11 + 843*x^10 + 1337*x^9 -7161*x^8 -12159*x^7 + 30396*x^6 + 48132*x^5 -72648*x^4 -85968*x^3 + 98304*x^2 + 56320*x -57344)*(x^26 -104*x^24 + 4729*x^22 -123690*x^20 + 2061701*x^18 -22956686*x^16 + 174412233*x^14 -909402168*x^12 + 3235256752*x^10 -7712092736*x^8 + 11896403200*x^6 -11154874368*x^4 + 5636423680*x^2 -1135607808)*(x^7 + 3*x^6 -11*x^5 -35*x^4 + 15*x^3 + 55*x^2 -21*x + 1)*(x^3 + 2*x^2 -16*x -24)*(x^4 -3*x^3 -x^2 + 7*x -3)*(x^12 + 7*x^11 -11*x^10 -157*x^9 -97*x^8 + 1096*x^7 + 1354*x^6 -2692*x^5 -3952*x^4 + 1744*x^3 + 3200*x^2 + 512*x -128)*(x^6 -9*x^4 + 19*x^2 -9)*(x^6 -11*x^4 + 19*x^2 -1)*(x + 1)^2*(x^2 + 6*x + 7)^2*(x^3 + 5*x^2 + 5*x -1)^2*(x^7 -3*x^6 -11*x^5 + 35*x^4 + 15*x^3 -55*x^2 -21*x -1)^2*(x^3 -2*x^2 -16*x + 24)^2*(x^14 -x^13 -47*x^12 + 63*x^11 + 843*x^10 -1337*x^9 -7161*x^8 + 12159*x^7 + 30396*x^6 -48132*x^5 -72648*x^4 + 85968*x^3 + 98304*x^2 -56320*x -57344)^2*(x^2 + 4*x + 2)^3*(x^4 + 3*x^3 -x^2 -7*x -3)^3*(x^12 -7*x^11 -11*x^10 + 157*x^9 -97*x^8 -1096*x^7 + 1354*x^6 + 2692*x^5 -3952*x^4 -1744*x^3 + 3200*x^2 -512*x -128)^3*(x -3)^4*(x -1)^4*(x + 3)^5*(x )^9;

T[2008,2]=(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)*(x^4 + x^3 + 3*x^2 + 2*x + 4)^2*(x -1)^10*(x + 1)^10*(x )^187;
T[2008,3]=(x^9 + x^8 -11*x^7 -7*x^6 + 40*x^5 + 11*x^4 -53*x^3 + 2*x^2 + 13*x -1)*(x^12 -3*x^11 -17*x^10 + 49*x^9 + 106*x^8 -277*x^7 -317*x^6 + 644*x^5 + 537*x^4 -601*x^3 -462*x^2 + 136*x + 104)*(x^19 + 6*x^18 -21*x^17 -179*x^16 + 90*x^15 + 2109*x^14 + 926*x^13 -12681*x^12 -10845*x^11 + 41921*x^10 + 43551*x^9 -76260*x^8 -80907*x^7 + 72526*x^6 + 64793*x^5 -33209*x^4 -13777*x^3 + 7607*x^2 -747*x -4)*(x^23 -2*x^22 -55*x^21 + 107*x^20 + 1286*x^19 -2405*x^18 -16716*x^17 + 29527*x^16 + 132795*x^15 -215665*x^14 -668901*x^13 + 957238*x^12 + 2148857*x^11 -2528894*x^10 -4312517*x^9 + 3713761*x^8 + 5082683*x^7 -2587695*x^6 -2976251*x^5 + 529798*x^4 + 502544*x^3 -7720*x^2 -20864*x -1408)*(x^7 + 3*x^6 -6*x^5 -18*x^4 + 8*x^3 + 17*x^2 -9*x + 1)^2*(x^14 -3*x^13 -27*x^12 + 79*x^11 + 274*x^10 -747*x^9 -1422*x^8 + 3287*x^7 + 4161*x^6 -6861*x^5 -6676*x^4 + 5599*x^3 + 4627*x^2 -359*x -196)^2*(x^5 + x^4 -7*x^3 -4*x^2 + 6*x -1)^3*(x^6 -x^5 -16*x^4 + 9*x^3 + 74*x^2 -8*x -88)^3*(x^5 -2*x^4 -9*x^3 + 14*x^2 + 16*x -8)^3*(x^4 + 2*x^3 -2*x^2 -3*x + 1)^4*(x^17 -38*x^15 + 5*x^14 + 582*x^13 -142*x^12 -4602*x^11 + 1445*x^10 + 20039*x^9 -6280*x^8 -48174*x^7 + 10424*x^6 + 63091*x^5 -3260*x^4 -41362*x^3 -5377*x^2 + 10587*x + 3164)^4*(x + 1)^6*(x -1)^6;
T[2008,5]=(x^9 + 5*x^8 -4*x^7 -44*x^6 -16*x^5 + 106*x^4 + 57*x^3 -58*x^2 -5*x + 1)*(x^12 -5*x^11 -16*x^10 + 98*x^9 + 78*x^8 -690*x^7 -101*x^6 + 2210*x^5 -207*x^4 -3171*x^3 + 616*x^2 + 1548*x -392)*(x^19 + 8*x^18 -28*x^17 -349*x^16 + 90*x^15 + 6117*x^14 + 4785*x^13 -54934*x^12 -69211*x^11 + 266022*x^10 + 397440*x^9 -667247*x^8 -1044583*x^7 + 777823*x^6 + 1107449*x^5 -442018*x^4 -450880*x^3 + 70766*x^2 + 65956*x + 5345)*(x^23 -8*x^22 -58*x^21 + 583*x^20 + 1172*x^19 -17843*x^18 -6351*x^17 + 300860*x^16 -112765*x^15 -3092120*x^14 + 2190198*x^13 + 20277839*x^12 -16584431*x^11 -86075433*x^10 + 67302809*x^9 + 232478846*x^8 -151186032*x^7 -375858868*x^6 + 174373582*x^5 + 315617193*x^4 -80274978*x^3 -96817468*x^2 + 2549440*x + 5661776)*(x^14 + 2*x^13 -46*x^12 -71*x^11 + 805*x^10 + 868*x^9 -6511*x^8 -4311*x^7 + 23111*x^6 + 8553*x^5 -28413*x^4 -6291*x^3 + 14183*x^2 + 1509*x -2493)^2*(x^7 + 2*x^6 -11*x^5 -25*x^4 + 26*x^3 + 81*x^2 + 20*x -27)^2*(x^2 + 3*x + 1)^3*(x^5 + 6*x^4 + 6*x^3 -18*x^2 -25*x + 7)^3*(x^6 + x^5 -14*x^4 -3*x^3 + 44*x^2 -36*x + 8)^3*(x^2 -5*x + 3)^3*(x^5 -7*x^4 + 9*x^3 + 24*x^2 -52*x + 24)^3*(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;

T[2009,2]=(x -1)^2*(x^2 -x -1)^2*(x^3 -5*x -3)^2*(x^7 + x^6 -11*x^5 -6*x^4 + 37*x^3 + 4*x^2 -34*x + 11)^2*(x^20 + 2*x^19 -27*x^18 -52*x^17 + 302*x^16 + 552*x^15 -1820*x^14 -3090*x^13 + 6449*x^12 + 9852*x^11 -13797*x^10 -18080*x^9 + 17721*x^8 + 18446*x^7 -13352*x^6 -9524*x^5 + 5690*x^4 + 1972*x^3 -1179*x^2 -42*x + 49)^2*(x^17 -3*x^16 -25*x^15 + 77*x^14 + 247*x^13 -790*x^12 -1231*x^11 + 4173*x^10 + 3251*x^9 -12183*x^8 -4259*x^7 + 19567*x^6 + 2029*x^5 -16136*x^4 + 299*x^3 + 5775*x^2 -312*x -464)^2*(x^5 + 2*x^4 -6*x^3 -11*x^2 + 8*x + 13)^2*(x^3 -x^2 -4*x + 3)^3*(x^3 -4*x^2 + 3*x + 1)^3*(x^5 + x^4 -6*x^3 -4*x^2 + 6*x + 3)^3*(x^6 + x^5 -10*x^4 -10*x^3 + 23*x^2 + 24*x + 5)^3*(x^3 + x^2 -5*x -1)^4*(x )^4*(x^2 + x -1)^6;
T[2009,3]=(x^2 -x -1)*(x^2 -3*x + 1)*(x^3 + 5*x^2 + 6*x + 1)*(x^3 -4*x -2)*(x^6 -4*x^5 -8*x^4 + 46*x^3 -13*x^2 -111*x + 100)*(x^17 -x^16 -38*x^15 + 40*x^14 + 572*x^13 -631*x^12 -4316*x^11 + 4973*x^10 + 16946*x^9 -20338*x^8 -32352*x^7 + 40386*x^6 + 24596*x^5 -32237*x^4 -3186*x^3 + 4959*x^2 + 265*x -127)*(x^17 + x^16 -38*x^15 -40*x^14 + 572*x^13 + 631*x^12 -4316*x^11 -4973*x^10 + 16946*x^9 + 20338*x^8 -32352*x^7 -40386*x^6 + 24596*x^5 + 32237*x^4 -3186*x^3 -4959*x^2 + 265*x + 127)*(x^2 -x -3)*(x^3 -x^2 -8*x + 3)*(x^7 + 7*x^6 + 11*x^5 -16*x^4 -39*x^3 + 12*x^2 + 32*x -9)*(x^3 -3*x^2 -2*x + 7)*(x^7 -7*x^6 + 11*x^5 + 16*x^4 -39*x^3 -12*x^2 + 32*x + 9)*(x^2 + x -3)*(x^3 + 3*x^2 -2*x -7)*(x^5 + 4*x^4 -10*x^2 -3*x + 1)*(x^5 + 2*x^4 -8*x^3 -19*x^2 -2*x + 7)*(x^5 -2*x^4 -8*x^3 + 19*x^2 -2*x -7)*(x^20 + 8*x^19 -6*x^18 -192*x^17 -236*x^16 + 1804*x^15 + 3770*x^14 -8248*x^13 -23916*x^12 + 17616*x^11 + 78924*x^10 -7624*x^9 -141680*x^8 -33544*x^7 + 133192*x^6 + 54676*x^5 -58599*x^4 -27816*x^3 + 9466*x^2 + 4324*x + 89)*(x^20 -8*x^19 -6*x^18 + 192*x^17 -236*x^16 -1804*x^15 + 3770*x^14 + 8248*x^13 -23916*x^12 -17616*x^11 + 78924*x^10 + 7624*x^9 -141680*x^8 + 33544*x^7 + 133192*x^6 -54676*x^5 -58599*x^4 + 27816*x^3 + 9466*x^2 -4324*x + 89)*(x -1)^2*(x + 1)^2*(x^2 + x -1)^2*(x^2 + 3*x + 1)^2*(x^3 + x^2 -8*x -3)^2*(x^3 -5*x^2 + 6*x -1)^2*(x^6 + 4*x^5 -8*x^4 -46*x^3 -13*x^2 + 111*x + 100)^2*(x^5 -4*x^4 + 10*x^2 -3*x -1)^2*(x )^2*(x^3 -4*x + 2)^3;
T[2009,5]=(x^3 + 2*x^2 -8*x -8)*(x^3 -2*x^2 -4*x + 4)*(x^6 -x^5 -29*x^4 + 16*x^3 + 200*x^2 + 16*x -16)*(x^17 -x^16 -54*x^15 + 58*x^14 + 1180*x^13 -1367*x^12 -13444*x^11 + 16747*x^10 + 85362*x^9 -113888*x^8 -297618*x^7 + 425932*x^6 + 518708*x^5 -811339*x^4 -355972*x^3 + 653363*x^2 + 61397*x -169001)*(x^17 + x^16 -54*x^15 -58*x^14 + 1180*x^13 + 1367*x^12 -13444*x^11 -16747*x^10 + 85362*x^9 + 113888*x^8 -297618*x^7 -425932*x^6 + 518708*x^5 + 811339*x^4 -355972*x^3 -653363*x^2 + 61397*x + 169001)*(x^7 + 4*x^6 -25*x^5 -92*x^4 + 209*x^3 + 674*x^2 -560*x -1608)*(x^2 -x -3)*(x^2 + x -3)*(x^7 -4*x^6 -25*x^5 + 92*x^4 + 209*x^3 -674*x^2 -560*x + 1608)*(x^5 -5*x^4 -11*x^3 + 86*x^2 -96*x -24)*(x^5 + 2*x^4 -8*x^3 -19*x^2 -2*x + 7)*(x^5 -2*x^4 -8*x^3 + 19*x^2 -2*x -7)*(x^20 + 8*x^19 -28*x^18 -376*x^17 -105*x^16 + 6764*x^15 + 12052*x^14 -55196*x^13 -170015*x^12 + 154604*x^11 + 1023382*x^10 + 458560*x^9 -2603364*x^8 -3393232*x^7 + 1465128*x^6 + 5163168*x^5 + 2401392*x^4 -1250496*x^3 -1423584*x^2 -421632*x -40384)*(x^20 -8*x^19 -28*x^18 + 376*x^17 -105*x^16 -6764*x^15 + 12052*x^14 + 55196*x^13 -170015*x^12 -154604*x^11 + 1023382*x^10 -458560*x^9 -2603364*x^8 + 3393232*x^7 + 1465128*x^6 -5163168*x^5 + 2401392*x^4 + 1250496*x^3 -1423584*x^2 + 421632*x -40384)*(x + 1)^2*(x -1)^2*(x^3 -2*x^2 -8*x + 8)^2*(x^5 + 5*x^4 -11*x^3 -86*x^2 -96*x + 24)^2*(x^6 + x^5 -29*x^4 -16*x^3 + 200*x^2 -16*x -16)^2*(x + 2)^3*(x^2 -x -1)^3*(x^2 + x -1)^3*(x^3 + 2*x^2 -4*x -4)^3*(x -2)^6*(x )^8;

T[2010,2]=(x^8 + 4*x^6 -x^5 + 9*x^4 -2*x^3 + 16*x^2 + 16)*(x^8 + 4*x^7 + 10*x^6 + 19*x^5 + 29*x^4 + 38*x^3 + 40*x^2 + 32*x + 16)*(x^8 -2*x^7 + 2*x^6 -3*x^5 + 7*x^4 -6*x^3 + 8*x^2 -16*x + 16)*(x^10 -x^9 + 4*x^8 -3*x^7 + 8*x^6 -5*x^5 + 16*x^4 -12*x^3 + 32*x^2 -16*x + 32)*(x^14 -4*x^13 + 11*x^12 -23*x^11 + 43*x^10 -73*x^9 + 119*x^8 -176*x^7 + 238*x^6 -292*x^5 + 344*x^4 -368*x^3 + 352*x^2 -256*x + 128)*(x^10 + 2*x^9 + 4*x^8 + 7*x^7 + 13*x^6 + 16*x^5 + 26*x^4 + 28*x^3 + 32*x^2 + 32*x + 32)*(x^8 + 2*x^7 + 4*x^6 + 7*x^5 + 13*x^4 + 14*x^3 + 16*x^2 + 16*x + 16)*(x^16 + 3*x^15 + 7*x^14 + 12*x^13 + 18*x^12 + 20*x^11 + 18*x^10 + 11*x^9 + 16*x^8 + 22*x^7 + 72*x^6 + 160*x^5 + 288*x^4 + 384*x^3 + 448*x^2 + 384*x + 256)*(x^2 + 2*x + 2)^2*(x^4 -x^3 + 3*x^2 -2*x + 4)^2*(x^22 + 4*x^20 + 2*x^19 + 10*x^18 + 8*x^17 + 18*x^16 + 22*x^15 + 32*x^14 + 35*x^13 + 54*x^12 + 74*x^11 + 108*x^10 + 140*x^9 + 256*x^8 + 352*x^7 + 576*x^6 + 512*x^5 + 1280*x^4 + 512*x^3 + 2048*x^2 + 2048)^2*(x^4 + 2*x^2 + 4)^2*(x^6 -3*x^5 + 5*x^4 -7*x^3 + 10*x^2 -12*x + 8)^2*(x^10 + 2*x^8 + 5*x^6 + 2*x^5 + 10*x^4 + 16*x^2 + 32)^2*(x^14 -2*x^13 + 2*x^12 -3*x^11 + 6*x^10 -4*x^9 + 13*x^8 -30*x^7 + 26*x^6 -16*x^5 + 48*x^4 -48*x^3 + 64*x^2 -128*x + 128)^2*(x^2 + 2)^3*(x^2 -x + 2)^3*(x^2 + x + 2)^4*(x^4 + x^3 + 3*x^2 + 2*x + 4)^4*(x^2 -2*x + 2)^4*(x^4 + 3*x^3 + 5*x^2 + 6*x + 4)^4*(x -1)^67*(x + 1)^68;
T[2010,3]=(x^8 + 2*x^7 + 4*x^6 -2*x^4 + 36*x^2 + 54*x + 81)*(x^4 + 4*x^3 + 8*x^2 + 12*x + 9)*(x^6 -2*x^5 + 5*x^4 -6*x^3 + 15*x^2 -18*x + 27)*(x^6 + 3*x^4 + 2*x^3 + 9*x^2 + 27)*(x^6 -4*x^5 + 11*x^4 -22*x^3 + 33*x^2 -36*x + 27)*(x^4 + x^2 + 9)^2*(x^6 -x^5 + x^4 + 5*x^3 + 3*x^2 -9*x + 27)^2*(x^6 -3*x^5 + 9*x^4 -17*x^3 + 27*x^2 -27*x + 27)^2*(x^14 -4*x^13 + 13*x^12 -26*x^11 + 42*x^10 -24*x^9 -19*x^8 + 110*x^7 -57*x^6 -216*x^5 + 1134*x^4 -2106*x^3 + 3159*x^2 -2916*x + 2187)^2*(x^22 + 6*x^20 + 2*x^19 + 29*x^18 + 6*x^17 + 82*x^16 + 38*x^15 + 230*x^14 -24*x^13 + 538*x^12 + 44*x^11 + 1614*x^10 -216*x^9 + 6210*x^8 + 3078*x^7 + 19926*x^6 + 4374*x^5 + 63423*x^4 + 13122*x^3 + 118098*x^2 + 177147)^2*(x^4 + 4*x^2 + 9)^3*(x^2 + 3)^4*(x^4 -x^3 + 5*x^2 -3*x + 9)^4*(x^4 + 3*x^3 + 7*x^2 + 9*x + 9)^4*(x^2 + 2*x + 3)^6*(x -1)^101*(x + 1)^102;
T[2010,5]=(x^2 -x + 5)*(x^4 -x^3 -5*x + 25)*(x^6 -3*x^5 + 11*x^4 -26*x^3 + 55*x^2 -75*x + 125)*(x^4 -2*x^2 + 25)*(x^2 + x + 5)^2*(x^6 + 3*x^5 + 9*x^4 + 31*x^3 + 45*x^2 + 75*x + 125)^2*(x^6 -x^5 + 12*x^4 -9*x^3 + 60*x^2 -25*x + 125)^2*(x^10 + 3*x^9 + 16*x^8 + 41*x^7 + 125*x^6 + 276*x^5 + 625*x^4 + 1025*x^3 + 2000*x^2 + 1875*x + 3125)^2*(x^2 + 5)^2*(x^6 -3*x^5 + 13*x^4 -27*x^3 + 65*x^2 -75*x + 125)^2*(x^4 -4*x^3 + 9*x^2 -20*x + 25)^4*(x^2 -2*x + 5)^6*(x^2 + 3*x + 5)^11*(x + 1)^134*(x -1)^137;

T[2011,2]=(x^77 + 13*x^76 -26*x^75 -1042*x^74 -1940*x^73 + 37918*x^72 + 143729*x^71 -807950*x^70 -4676706*x^69 + 10462242*x^68 + 97841020*x^67 -63112508*x^66 -1475321959*x^65 -505896967*x^64 + 16920160095*x^63 + 18313874979*x^62 -151886798809*x^61 -263443669725*x^60 + 1081651071338*x^59 + 2609661052402*x^58 -6109149069375*x^57 -19890234105563*x^56 + 26800713973888*x^55 + 121951264738337*x^54 -84910013063881*x^53 -615369223528384*x^52 + 138303752909598*x^51 + 2588807755997367*x^50 + 372680097989540*x^49 -9145954625636795*x^48 -4140050197917957*x^47 + 27224874833852490*x^46 + 19859547679639202*x^45 -68282619662439681*x^44 -68076838584291598*x^43 + 143799260311969003*x^42 + 183907903488028470*x^41 -252256258897153338*x^40 -405680146368714633*x^39 + 363016977277320533*x^38 + 742137659546979053*x^37 -415805464219589344*x^36 -1133403129216311426*x^35 + 353134943638613351*x^34 + 1447515399536188709*x^33 -171957700153547913*x^32 -1543494337297132491*x^31 -54822178278111662*x^30 + 1368361478979628213*x^29 + 222213491247875670*x^28 -1001968297053671267*x^27 -269805668550479401*x^26 + 600582238120160256*x^25 + 217133841291092462*x^24 -291303402596956820*x^23 -129151458273676059*x^22 + 112697590349800728*x^21 + 58402677644339023*x^20 -34170990049141821*x^19 -20133979595108084*x^18 + 7955172432165938*x^17 + 5240614253322606*x^16 -1391087160954584*x^15 -1011606534891405*x^14 + 179489295625028*x^13 + 141329830934543*x^12 -17081374483647*x^11 -13867008578245*x^10 + 1237593173204*x^9 + 919891963189*x^8 -70796628695*x^7 -38882065652*x^6 + 3049518581*x^5 + 933307825*x^4 -81959155*x^3 -9525736*x^2 + 932290*x + 3663)*(x^90 -11*x^89 -77*x^88 + 1265*x^87 + 1681*x^86 -69155*x^85 + 50926*x^84 + 2386455*x^83 -4667623*x^82 -58162038*x^81 + 169260837*x^80 + 1059464484*x^79 -4067538150*x^78 -14842340365*x^77 + 73212751448*x^76 + 161016151482*x^75 -1043061484283*x^74 -1321499243721*x^73 + 12140602092707*x^72 + 7375991747765*x^71 -117826229800151*x^70 -12639991515051*x^69 + 966963766668052*x^68 -285066343398213*x^67 -6777387051773240*x^66 + 4304798601125098*x^65 + 40856227887588812*x^64 -38328077786159553*x^63 -212855512245251941*x^62 + 260099973880233351*x^61 + 961167682496321678*x^60 -1444348292892865348*x^59 -3765872020848267927*x^58 + 6767723049804520177*x^57 + 12790359998506137681*x^56 -27195522890505488363*x^55 -37527367044169994189*x^54 + 94617840856089664120*x^53 + 94430505803543040561*x^52 -286692072424698758741*x^51 -200960392132598370548*x^50 + 759253195222944162234*x^49 + 351571533360985897546*x^48 -1761051711520908800582*x^47 -471986340331674475659*x^46 + 3580582611778171369289*x^45 + 375983927972043032745*x^44 -6381241108063014607858*x^43 + 214017450917385436301*x^42 + 9959704847073492535350*x^41 -1524936041594274386506*x^40 -13591584709784198260624*x^39 + 3504638282555188437877*x^38 + 16178810119080362918541*x^37 -5679269731744222757210*x^36 -16746048580658319383660*x^35 + 7290357117666670879069*x^34 + 15012029561554189641329*x^33 -7704021285586538622087*x^32 -11598014082729655130316*x^31 + 6806188817181146905375*x^30 + 7675460222485348770514*x^29 -5055921147394992687917*x^28 -4318593299485694958070*x^27 + 3159707840844028142357*x^26 + 2046578705926608176916*x^25 -1656580115397372748559*x^24 -807187310043328687101*x^23 + 724614483706625798987*x^22 + 260811739060510504008*x^21 -262342782139429552342*x^20 -67531661403871041103*x^19 + 77787500786105468845*x^18 + 13545592656702654907*x^17 -18635195234353578677*x^16 -1979162734298602976*x^15 + 3544987328368705635*x^14 + 180276149920447662*x^13 -523652840740791478*x^12 -3168280570960340*x^11 + 58313786198724873*x^10 -1732795050354447*x^9 -4698968345640604*x^8 + 270349317405217*x^7 + 257745054385142*x^6 -20098232364872*x^5 -8681951032400*x^4 + 784613804768*x^3 + 144798835232*x^2 -12844491904*x -552905344);
T[2011,3]=(x^77 + 13*x^76 -57*x^75 -1433*x^74 -704*x^73 + 73215*x^72 + 180868*x^71 -2285549*x^70 -8936079*x^69 + 48107093*x^68 + 262334031*x^67 -701062999*x^66 -5435385108*x^65 + 6678640016*x^64 + 85336842416*x^63 -26299218636*x^62 -1055272537070*x^61 -373752151260*x^60 + 10524544198028*x^59 + 9256908768131*x^58 -85943188480476*x^57 -114785035323020*x^56 + 579966891396695*x^55 + 1026061624125739*x^54 -3248678307506397*x^53 -7222116846541908*x^52 + 15097739971181802*x^51 + 41529391183346702*x^50 -57803911133525709*x^49 -198874394747835544*x^48 + 178959768577042453*x^47 + 801957745754959022*x^46 -427842311330416403*x^45 -2741220642553390743*x^44 + 683177680733562920*x^43 + 7972317488122399417*x^42 -170348461054538644*x^41 -19761013181075267011*x^40 -3286910992028188848*x^39 + 41748639943097089528*x^38 + 13561568878164710340*x^37 -75072911555428776591*x^36 -34684033663554993054*x^35 + 114585247053261020607*x^34 + 66903242850517425278*x^33 -147822409277239291013*x^32 -102815995909782788530*x^31 + 160232051997386250044*x^30 + 128483714015120011217*x^29 -144768103656648257553*x^28 -131490845234229801405*x^27 + 107839366905025978427*x^26 + 110223081276756008124*x^25 -65230211384518252872*x^24 -75340252157335330114*x^23 + 31325485225079546018*x^22 + 41639013692634617798*x^21 -11509572465090431329*x^20 -18377629735087160203*x^19 + 3006481533559220069*x^18 + 6367072321693748440*x^17 -448793155956791130*x^16 -1691748166978154864*x^15 -13170114124946812*x^14 + 333914105869268841*x^13 + 25017559219660466*x^12 -46811401969519734*x^11 -6282921004973936*x^10 + 4359523271818732*x^9 + 828733372629857*x^8 -240844599681407*x^7 -61117740017758*x^6 + 6031004296911*x^5 + 2300940469197*x^4 + 11963908729*x^3 -32453028534*x^2 -2042838466*x -16646519)*(x^90 -9*x^89 -149*x^88 + 1559*x^87 + 10090*x^86 -129253*x^85 -397608*x^84 + 6829289*x^83 + 9194967*x^82 -258325289*x^81 -71610893*x^80 + 7449924821*x^79 -3485602166*x^78 -170333825114*x^77 + 176230789138*x^76 + 3169633279682*x^75 -4747524440636*x^74 -48897950263314*x^73 + 92974070352034*x^72 + 633746952669429*x^71 -1441675265080178*x^70 -6966925765593550*x^69 + 18401349898293693*x^68 + 65397791781607821*x^67 -197639957696416079*x^66 -526371899598409582*x^65 + 1811587799524910018*x^64 + 3638993433426420180*x^63 -14308373908429610407*x^62 -21585905850033318902*x^61 + 98048040227481493945*x^60 + 109332406633911188648*x^59 -585788357438613744047*x^58 -467599426006731509435*x^57 + 3062061993301510251306*x^56 + 1648711553193069257999*x^55 -14037624269767648366770*x^54 -4523539284298769179865*x^53 + 56521837668108517612586*x^52 + 7924082496089652430750*x^51 -200020631664807466580542*x^50 + 2919336447997945963813*x^49 + 622089014307647123204326*x^48 -91592512429247817579165*x^47 -1699195125846238498363544*x^46 + 444480431343225936776397*x^45 + 4070614471574641483142154*x^44 -1467896072201790720877218*x^43 -8535610993505294239956283*x^42 + 3812105674816600906633245*x^41 + 15624620479371379235356429*x^40 -8146611990200998638533017*x^39 -24884034644218792374049672*x^38 + 14591220750599812526285244*x^37 + 34337943908686208334490790*x^36 -22066277729330985559132722*x^35 -40851896106439451590721372*x^34 + 28227274511543166447628723*x^33 + 41655422135670396557717923*x^32 -30489972440742412740498161*x^31 -36152035703058951835351174*x^30 + 27687564989133056899265442*x^29 + 26488675410225886622560408*x^28 -20995328680372059415903654*x^27 -16230678498473416091506565*x^26 + 13173749127978034425146970*x^25 + 8226182313369354042104468*x^24 -6759689924874748077990206*x^23 -3405524155613167223885692*x^22 + 2794176264403826292849477*x^21 + 1135310904222688951181133*x^20 -912760988447107321426076*x^19 -299990138689756126959879*x^18 + 229840787411274736454987*x^17 + 61732025918321332795249*x^16 -43159618645408340055062*x^15 -9689134310753256637250*x^14 + 5773436364659303680269*x^13 + 1125568905740699349806*x^12 -514813550401790912724*x^11 -91461510975063830672*x^10 + 27649190698157445568*x^9 + 4617748133778375264*x^8 -773030421932184128*x^7 -115818557093454848*x^6 + 11397878250476544*x^5 + 1432402636234752*x^4 -82101443891200*x^3 -8637045456896*x^2 + 226521415680*x + 20622737408);
T[2011,5]=(x^77 + 47*x^76 + 878*x^75 + 6888*x^74 -11667*x^73 -658154*x^72 -4153033*x^71 + 9457928*x^70 + 243744997*x^69 + 793878450*x^68 -5130923406*x^67 -44213249026*x^66 -12270789095*x^65 + 1051737475803*x^64 + 3316874915735*x^63 -12339862229681*x^62 -91062344598996*x^61 -1670185569893*x^60 + 1387440364205069*x^59 + 2767617671457929*x^58 -12752527046280337*x^57 -54916593565736684*x^56 + 50269118803719668*x^55 + 631954651690356580*x^54 + 439633733561537412*x^53 -4873008199230934236*x^52 -9771214106391667227*x^51 + 24394423884693464900*x^50 + 95369014370142684895*x^49 -52552094764226985637*x^48 -620744407290558767129*x^47 -316872793811277702027*x^46 + 2884038495284908785786*x^45 + 4050407822050628203702*x^44 -9319067586185260407185*x^43 -24011226245278182459777*x^42 + 17079339797057727537056*x^41 + 96758505434670542247228*x^40 + 11299617062941473001460*x^39 -283820229781058059865534*x^38 -210085134628045727231138*x^37 + 602771459827221804785958*x^36 + 843936840846623732244056*x^35 -851306745957559041977814*x^34 -2140150606278696313960812*x^33 + 491324962737429941973562*x^32 + 3848162464994127833712842*x^31 + 1016805182699859098132411*x^30 -4971789659065154845755136*x^29 -3411348711728501417840964*x^28 + 4408702812784929581001320*x^27 + 5320193312085294013185000*x^26 -2219283895684659372859331*x^25 -5367615125392703072485023*x^24 -129163653066227701251733*x^23 + 3664014535629357009507530*x^22 + 1231285700412077347975752*x^21 -1632456571853864581667657*x^20 -1062516566459371424633694*x^19 + 403883331936675884557744*x^18 + 499949669995499457425726*x^17 -7894643311167160029120*x^16 -141836002142111175388483*x^15 -29197669115170643957010*x^14 + 23022253446137359239918*x^13 + 9495596048932356174191*x^12 -1593352141623147206292*x^11 -1389550813109845717781*x^10 -65901654935457142081*x^9 + 94263879659911386244*x^8 + 16242976453014978934*x^7 -1913294569990267261*x^6 -663671611438814345*x^5 -35679051088869181*x^4 + 1533693640762325*x^3 + 115853180197823*x^2 -235331897800*x -6022219291)*(x^90 -47*x^89 + 826*x^88 -4446*x^87 -56146*x^86 + 963649*x^85 -2592397*x^84 -50582143*x^83 + 435539675*x^82 + 498554639*x^81 -22107523218*x^80 + 66560548367*x^79 + 569399038169*x^78 -4050225381057*x^77 -4877134520262*x^76 + 123995361763745*x^75 -197211312469562*x^74 -2374659859854172*x^73 + 9496167741671249*x^72 + 26549368266098198*x^71 -224727736730224747*x^70 -29698590485460058*x^69 + 3577330905466641025*x^68 -5503072345335608884*x^67 -40184236713766346456*x^66 + 130173355763758988979*x^65 + 295472668487042361101*x^64 -1855060531808255173964*x^63 -718562768977977550821*x^62 + 19149265099309949823231*x^61 -15726945594570560753790*x^60 -148893023473702261580891*x^59 + 287367383558547113787417*x^58 + 851273400433650333413651*x^57 -2910258927350346551262950*x^56 -3072035115260532646330622*x^55 + 21407555828141645359768395*x^54 + 128064681418926115195158*x^53 -121746584314536635091621938*x^52 + 95701271420111718386587835*x^51 + 540592765023002196128314660*x^50 -848431033890610693107429215*x^49 -1818607027782156232076488725*x^48 + 4789106963595930431097057225*x^47 + 4088727625958729224464689052*x^46 -20342436950017589291454680348*x^45 -2130635277850269300199146473*x^44 + 68000623847251566557779094395*x^43 -30947946964824951726656099873*x^42 -180306766502629748824410210542*x^41 + 175750165860397887764786490106*x^40 + 372447537306800020413589910161*x^39 -593085362497034198208279397621*x^38 -562267878087589107751123452833*x^37 + 1476785568618464620706679115442*x^36 + 481324684993697272681413890846*x^35 -2865418497572006538030111336332*x^34 + 273507183952002104128060594114*x^33 + 4396332215764811430970823574145*x^32 -1916671802295819518008192311318*x^31 -5309349821635327409684234495094*x^30 + 4058916895341472995545837896335*x^29 + 4932356848481859742423987864354*x^28 -5716225689492856074081007865775*x^27 -3324037243487673701366987803412*x^26 + 5988687531062725162180599232647*x^25 + 1341910449518172271936577635252*x^24 -4824285552183369810541792856646*x^23 + 61230778457839805211604455721*x^22 + 3016707039644825924835823476993*x^21 -561976734825917110387124282705*x^20 -1463659779452515512905568326087*x^19 + 473714953210747620145961598951*x^18 + 548048904558825712288033906001*x^17 -240699341424642901555458800304*x^16 -157188156021625755482484794144*x^15 + 84879317822503658529310875058*x^14 + 34308489156462277738178315290*x^13 -21445980743885145074058642157*x^12 -5693983140362183511344008561*x^11 + 3871669908355664572489839150*x^10 + 726075996444893787234669090*x^9 -486436762163774347193572070*x^8 -72284804161457700467564060*x^7 + 40170355090795907413967044*x^6 + 5506831919380881547049572*x^5 -1933524631508245066616615*x^4 -281392297569056346113160*x^3 + 39245580309932913449023*x^2 + 6728628513547812056721*x + 88072859684455908863);

T[2012,2]=(x^2 + x + 2)*(x^52 -4*x^51 + 16*x^50 -46*x^49 + 126*x^48 -293*x^47 + 660*x^46 -1334*x^45 + 2625*x^44 -4763*x^43 + 8483*x^42 -14146*x^41 + 23374*x^40 -36611*x^39 + 57452*x^38 -86483*x^37 + 132413*x^36 -196593*x^35 + 300457*x^34 -448034*x^33 + 689045*x^32 -1031139*x^31 + 1579086*x^30 -2335118*x^29 + 3496164*x^28 -5021949*x^27 + 7259233*x^26 -10043898*x^25 + 13984656*x^24 -18680944*x^23 + 25265376*x^22 -32996448*x^21 + 44098880*x^20 -57348352*x^19 + 76916992*x^18 -100655616*x^17 + 135590912*x^16 -177117184*x^15 + 235323392*x^14 -299917312*x^13 + 382959616*x^12 -463536128*x^11 + 555941888*x^10 -624295936*x^9 + 688128000*x^8 -699400192*x^7 + 692060160*x^6 -614465536*x^5 + 528482304*x^4 -385875968*x^3 + 268435456*x^2 -134217728*x + 67108864)*(x^6 + x^4 + 3*x^3 + 2*x^2 + 8)*(x^20 + 4*x^19 + 16*x^18 + 41*x^17 + 103*x^16 + 208*x^15 + 412*x^14 + 707*x^13 + 1190*x^12 + 1794*x^11 + 2665*x^10 + 3588*x^9 + 4760*x^8 + 5656*x^7 + 6592*x^6 + 6656*x^5 + 6592*x^4 + 5248*x^3 + 4096*x^2 + 2048*x + 1024)*(x^2 -x + 2)^2*(x -1)^20*(x + 1)^21*(x )^125;
T[2012,3]=(x^21 + 10*x^20 + 8*x^19 -219*x^18 -607*x^17 + 1646*x^16 + 7568*x^15 -3792*x^14 -43853*x^13 -12689*x^12 + 138242*x^11 + 91271*x^10 -245992*x^9 -202685*x^8 + 242586*x^7 + 198841*x^6 -122224*x^5 -72941*x^4 + 24613*x^3 + 1053*x^2 -174*x + 3)*(x^21 -10*x^20 + 8*x^19 + 221*x^18 -627*x^17 -1614*x^16 + 7876*x^15 + 2568*x^14 -44493*x^13 + 22587*x^12 + 129082*x^11 -122117*x^10 -191892*x^9 + 235371*x^8 + 136442*x^7 -190519*x^6 -45872*x^5 + 49615*x^4 + 15353*x^3 -871*x^2 -582*x -41)*(x + 3)^2*(x + 1)^2*(x^5 + 4*x^4 -11*x^2 -4*x + 1)^2*(x^12 -5*x^11 -13*x^10 + 94*x^9 + 15*x^8 -616*x^7 + 368*x^6 + 1643*x^5 -1463*x^4 -1556*x^3 + 1284*x^2 + 576*x -208)^2*(x^12 + 3*x^11 -27*x^10 -78*x^9 + 267*x^8 + 746*x^7 -1120*x^6 -3167*x^5 + 1511*x^4 + 5516*x^3 + 676*x^2 -2080*x -336)^2*(x^2 -5)^2*(x^5 -6*x^3 -x^2 + 4*x -1)^2*(x )^2*(x -3)^3*(x^3 -x^2 -4*x + 3)^3*(x^26 -4*x^25 -52*x^24 + 211*x^23 + 1175*x^22 -4814*x^21 -15259*x^20 + 62449*x^19 + 127340*x^18 -509651*x^17 -726005*x^16 + 2735786*x^15 + 2939963*x^14 -9813106*x^13 -8635730*x^12 + 23403122*x^11 + 18323065*x^10 -36123133*x^9 -27001213*x^8 + 34013592*x^7 + 25434027*x^6 -17328663*x^5 -13187700*x^4 + 3683025*x^3 + 2752584*x^2 -219997*x -113513)^3*(x^10 + 8*x^9 + 18*x^8 -10*x^7 -85*x^6 -75*x^5 + 54*x^4 + 86*x^3 + 5*x^2 -14*x + 1)^3*(x -1)^10;
T[2012,5]=(x^21 + 3*x^20 -57*x^19 -161*x^18 + 1349*x^17 + 3571*x^16 -17275*x^15 -42634*x^14 + 130866*x^13 + 298761*x^12 -600907*x^11 -1254476*x^10 + 1640802*x^9 + 3086156*x^8 -2496704*x^7 -4182576*x^6 + 1866176*x^5 + 2852544*x^4 -565248*x^3 -864000*x^2 + 41472*x + 82944)*(x^21 -3*x^20 -57*x^19 + 167*x^18 + 1337*x^17 -3785*x^16 -16871*x^15 + 45604*x^14 + 125170*x^13 -319041*x^12 -558421*x^11 + 1327922*x^10 + 1464842*x^9 -3240960*x^8 -2104568*x^7 + 4396336*x^6 + 1443840*x^5 -2938432*x^4 -370560*x^3 + 764672*x^2 + 33792*x -64512)*(x^5 + 3*x^4 -11*x^3 -50*x^2 -55*x -15)^2*(x^12 -7*x^11 -18*x^10 + 195*x^9 + 31*x^8 -1922*x^7 + 584*x^6 + 8955*x^5 -1789*x^4 -21065*x^3 -2922*x^2 + 20356*x + 10584)^2*(x^12 -5*x^11 -18*x^10 + 121*x^9 + 41*x^8 -982*x^7 + 746*x^6 + 2939*x^5 -4199*x^4 -1577*x^3 + 5038*x^2 -2320*x + 312)^2*(x^2 + 2*x -4)^2*(x^5 + x^4 -9*x^3 -4*x^2 + 7*x + 1)^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)^3*(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)^3*(x + 4)^5*(x + 2)^8*(x )^15;

T[2013,2]=(x^11 + 4*x^10 -6*x^9 -37*x^8 -2*x^7 + 109*x^6 + 55*x^5 -115*x^4 -76*x^3 + 29*x^2 + 14*x -3)*(x^13 -4*x^12 -11*x^11 + 55*x^10 + 32*x^9 -266*x^8 + 13*x^7 + 534*x^6 -141*x^5 -404*x^4 + 98*x^3 + 118*x^2 -16*x -11)*(x^14 + x^13 -21*x^12 -20*x^11 + 167*x^10 + 148*x^9 -627*x^8 -497*x^7 + 1123*x^6 + 745*x^5 -802*x^4 -386*x^3 + 74*x^2 + 15*x -1)*(x^11 + 2*x^10 -14*x^9 -27*x^8 + 66*x^7 + 125*x^6 -115*x^5 -227*x^4 + 40*x^3 + 129*x^2 + 26*x + 1)*(x^12 -x^11 -16*x^10 + 13*x^9 + 93*x^8 -59*x^7 -238*x^6 + 108*x^5 + 257*x^4 -71*x^3 -93*x^2 + 13*x + 1)*(x^13 -2*x^12 -19*x^11 + 35*x^10 + 136*x^9 -220*x^8 -469*x^7 + 610*x^6 + 841*x^5 -760*x^4 -742*x^3 + 366*x^2 + 236*x -47)*(x^13 -4*x^12 -11*x^11 + 57*x^10 + 28*x^9 -290*x^8 + 51*x^7 + 644*x^6 -259*x^5 -640*x^4 + 274*x^3 + 256*x^2 -74*x -35)*(x^12 + 7*x^11 + 6*x^10 -57*x^9 -123*x^8 + 97*x^7 + 414*x^6 + 92*x^5 -413*x^4 -203*x^3 + 65*x^2 + 5*x -1)*(x -1)^2*(x^2 + 2*x -1)^2*(x^6 -11*x^4 + 2*x^3 + 31*x^2 -10*x -17)^2*(x^5 + 2*x^4 -3*x^3 -4*x^2 + 2*x + 1)^2*(x^6 -7*x^4 + 2*x^3 + 12*x^2 -5*x -2)^2*(x^19 -5*x^18 -18*x^17 + 122*x^16 + 78*x^15 -1177*x^14 + 387*x^13 + 5755*x^12 -4673*x^11 -15053*x^10 + 16875*x^9 + 20141*x^8 -28019*x^7 -11589*x^6 + 21077*x^5 + 1674*x^4 -6404*x^3 + 241*x^2 + 643*x -43)^2*(x^21 -37*x^19 + 2*x^18 + 582*x^17 -65*x^16 -5074*x^15 + 876*x^14 + 26808*x^13 -6340*x^12 -88228*x^11 + 26710*x^10 + 179236*x^9 -66498*x^8 -215174*x^7 + 94807*x^6 + 138664*x^5 -70301*x^4 -39180*x^3 + 21784*x^2 + 3447*x -2082)^2*(x + 1)^4*(x + 2)^4*(x^3 -x^2 -3*x + 1)^6;
T[2013,3]=(x^10 + 9*x^8 + 3*x^7 + 38*x^6 + 17*x^5 + 114*x^4 + 27*x^3 + 243*x^2 + 243)*(x^12 + x^11 + 12*x^10 + 12*x^9 + 72*x^8 + 64*x^7 + 269*x^6 + 192*x^5 + 648*x^4 + 324*x^3 + 972*x^2 + 243*x + 729)*(x^38 + 14*x^36 + 11*x^35 + 108*x^34 + 160*x^33 + 686*x^32 + 1231*x^31 + 3921*x^30 + 7063*x^29 + 19708*x^28 + 34531*x^27 + 86296*x^26 + 149743*x^25 + 337316*x^24 + 575599*x^23 + 1208364*x^22 + 1976651*x^21 + 3974264*x^20 + 6184547*x^19 + 11922792*x^18 + 17789859*x^17 + 32625828*x^16 + 46623519*x^15 + 81967788*x^14 + 109162647*x^13 + 188729352*x^12 + 226557891*x^11 + 387912564*x^10 + 417063087*x^9 + 694593387*x^8 + 654203871*x^7 + 1093705578*x^6 + 765275040*x^5 + 1549681956*x^4 + 473513931*x^3 + 1807962282*x^2 + 1162261467)*(x^42 -3*x^41 + 16*x^40 -40*x^39 + 132*x^38 -300*x^37 + 777*x^36 -1684*x^35 + 3920*x^34 -8388*x^33 + 18392*x^32 -38261*x^31 + 79473*x^30 -157688*x^29 + 309552*x^28 -585788*x^27 + 1109368*x^26 -2036112*x^25 + 3776996*x^24 -6737956*x^23 + 12203512*x^22 -20997028*x^21 + 36610536*x^20 -60641604*x^19 + 101978892*x^18 -164925072*x^17 + 269576424*x^16 -427039452*x^15 + 676990224*x^14 -1034590968*x^13 + 1564267059*x^12 -2259273789*x^11 + 3258087624*x^10 -4457727108*x^9 + 6249746160*x^8 -8054519796*x^7 + 11149100739*x^6 -12914016300*x^5 + 17046501516*x^4 -15496819560*x^3 + 18596183472*x^2 -10460353203*x + 10460353203)*(x^2 + 2*x + 3)^2*(x^2 + x + 3)^2*(x^6 -2*x^5 + 5*x^4 -8*x^3 + 15*x^2 -18*x + 27)^2*(x -1)^61*(x + 1)^62;
T[2013,5]=(x^12 + 3*x^11 -27*x^10 -74*x^9 + 264*x^8 + 631*x^7 -1154*x^6 -2153*x^5 + 2181*x^4 + 2303*x^3 -1285*x^2 + 105*x + 2)*(x^13 -7*x^12 -9*x^11 + 162*x^10 -200*x^9 -1053*x^8 + 2484*x^7 + 1485*x^6 -7767*x^5 + 3167*x^4 + 5167*x^3 -2159*x^2 -1440*x + 44)*(x^11 + x^10 -33*x^9 -40*x^8 + 360*x^7 + 567*x^6 -1464*x^5 -3069*x^4 + 1227*x^3 + 5533*x^2 + 2989*x + 71)*(x^11 + 13*x^10 + 55*x^9 + 42*x^8 -276*x^7 -593*x^6 + 80*x^5 + 997*x^4 + 541*x^3 -241*x^2 -233*x -39)*(x^13 -3*x^12 -37*x^11 + 104*x^10 + 476*x^9 -1285*x^8 -2404*x^7 + 6799*x^6 + 3331*x^5 -13959*x^4 + 4233*x^3 + 4711*x^2 -1676*x -292)*(x^13 -7*x^12 -13*x^11 + 170*x^10 -56*x^9 -1437*x^8 + 1268*x^7 + 5209*x^6 -4779*x^5 -8285*x^4 + 5179*x^3 + 4529*x^2 -212*x -236)*(x^14 -x^13 -47*x^12 + 30*x^11 + 876*x^10 -261*x^9 -8198*x^8 -5*x^7 + 40005*x^6 + 9611*x^5 -94641*x^4 -37207*x^3 + 85462*x^2 + 31268*x -17240)*(x^12 + 7*x^11 -11*x^10 -160*x^9 -128*x^8 + 1055*x^7 + 1654*x^6 -2199*x^5 -4965*x^4 + 149*x^3 + 3289*x^2 + 671*x -34)*(x + 2)^2*(x^5 + 2*x^4 -3*x^3 -6*x^2 + 1)^2*(x^6 + x^5 -9*x^4 -3*x^3 + 6*x^2 + x -1)^2*(x^6 -2*x^5 -23*x^4 + 28*x^3 + 144*x^2 -80*x -144)^2*(x^19 -70*x^17 + 20*x^16 + 2039*x^15 -1065*x^14 -31983*x^13 + 22483*x^12 + 293013*x^11 -240424*x^10 -1599267*x^9 + 1385731*x^8 + 5122072*x^7 -4246868*x^6 -9189577*x^5 + 6386839*x^4 + 8398322*x^3 -4039831*x^2 -2877604*x + 850564)^2*(x^21 -7*x^20 -52*x^19 + 454*x^18 + 835*x^17 -11810*x^16 + 698*x^15 + 155190*x^14 -165814*x^13 -1048761*x^12 + 1893571*x^11 + 3091152*x^10 -8489483*x^9 -847034*x^8 + 13106663*x^7 -6947906*x^6 -2356925*x^5 + 1651157*x^4 + 130201*x^3 -74354*x^2 + 1548*x + 312)^2*(x + 3)^4*(x + 1)^4*(x -1)^4*(x^3 + x^2 -9*x -13)^4*(x -2)^6;

T[2014,2]=(x^2 -2*x + 2)*(x^24 + 3*x^23 + 12*x^22 + 28*x^21 + 71*x^20 + 140*x^19 + 284*x^18 + 498*x^17 + 885*x^16 + 1416*x^15 + 2287*x^14 + 3363*x^13 + 4987*x^12 + 6726*x^11 + 9148*x^10 + 11328*x^9 + 14160*x^8 + 15936*x^7 + 18176*x^6 + 17920*x^5 + 18176*x^4 + 14336*x^3 + 12288*x^2 + 6144*x + 4096)*(x^24 + 5*x^23 + 22*x^22 + 68*x^21 + 193*x^20 + 460*x^19 + 1028*x^18 + 2046*x^17 + 3865*x^16 + 6674*x^15 + 11023*x^14 + 16849*x^13 + 24723*x^12 + 33698*x^11 + 44092*x^10 + 53392*x^9 + 61840*x^8 + 65472*x^7 + 65792*x^6 + 58880*x^5 + 49408*x^4 + 34816*x^3 + 22528*x^2 + 10240*x + 4096)*(x^56 -3*x^55 + 14*x^54 -34*x^53 + 101*x^52 -210*x^51 + 502*x^50 -924*x^49 + 1947*x^48 -3288*x^47 + 6381*x^46 -10077*x^45 + 18409*x^44 -27288*x^43 + 47340*x^42 -65399*x^41 + 108297*x^40 -138140*x^39 + 220872*x^38 -256889*x^37 + 404890*x^36 -419868*x^35 + 672986*x^34 -594825*x^33 + 1026092*x^32 -718053*x^31 + 1525073*x^30 -841763*x^29 + 2636494*x^28 -1683526*x^27 + 6100292*x^26 -5744424*x^25 + 16417472*x^24 -19034400*x^23 + 43071104*x^22 -53743104*x^21 + 103651840*x^20 -131527168*x^19 + 226172928*x^18 -282910720*x^17 + 443584512*x^16 -535748608*x^15 + 775618560*x^14 -894173184*x^13 + 1206452224*x^12 -1320812544*x^11 + 1672740864*x^10 -1723858944*x^9 + 2041577472*x^8 -1937768448*x^7 + 2105540608*x^6 -1761607680*x^5 + 1694498816*x^4 -1140850688*x^3 + 939524096*x^2 -402653184*x + 268435456)*(x^52 -6*x^51 + 28*x^50 -96*x^49 + 291*x^48 -773*x^47 + 1909*x^46 -4373*x^45 + 9516*x^44 -19670*x^43 + 39089*x^42 -74756*x^41 + 138575*x^40 -249225*x^39 + 436947*x^38 -747300*x^37 + 1250993*x^36 -2050541*x^35 + 3299271*x^34 -5212020*x^33 + 8099702*x^32 -12383760*x^31 + 18654306*x^30 -27683201*x^29 + 40516783*x^28 -58469288*x^27 + 83260941*x^26 -116938576*x^25 + 162067132*x^24 -221465608*x^23 + 298468896*x^22 -396280320*x^21 + 518380928*x^20 -667138560*x^19 + 844613376*x^18 -1049876992*x^17 + 1281016832*x^16 -1530470400*x^15 + 1789734912*x^14 -2041651200*x^13 + 2270412800*x^12 -2449604608*x^11 + 2561736704*x^10 -2578186240*x^9 + 2494562304*x^8 -2292711424*x^7 + 2001731584*x^6 -1621098496*x^5 + 1220542464*x^4 -805306368*x^3 + 469762048*x^2 -201326592*x + 67108864)*(x^2 + x + 2)^2*(x^6 + x^5 + 3*x^4 + 3*x^3 + 6*x^2 + 4*x + 8)^2*(x^2 + 2)^2*(x -1)^44*(x + 1)^45;
T[2014,3]=(x^2 -2*x -2)*(x^6 -9*x^4 -x^3 + 18*x^2 + 9*x + 1)*(x^12 + 4*x^11 -25*x^10 -117*x^9 + 160*x^8 + 1121*x^7 + 167*x^6 -3834*x^5 -2950*x^4 + 3700*x^3 + 4608*x^2 + 1232*x + 64)*(x^9 + 2*x^8 -19*x^7 -35*x^6 + 110*x^5 + 177*x^4 -207*x^3 -242*x^2 + 96*x -8)*(x^8 -13*x^6 + x^5 + 50*x^4 -21*x^3 -61*x^2 + 52*x -10)*(x^7 + 2*x^6 -9*x^5 -19*x^4 + 6*x^3 + 15*x^2 -x -2)*(x^11 -4*x^10 -17*x^9 + 77*x^8 + 82*x^7 -483*x^6 -95*x^5 + 1166*x^4 -84*x^3 -944*x^2 + 96*x + 224)*(x^8 + 4*x^7 -5*x^6 -27*x^5 + 12*x^4 + 61*x^3 -25*x^2 -44*x + 22)*(x^11 -25*x^9 + x^8 + 224*x^7 -9*x^6 -867*x^5 + 2*x^4 + 1372*x^3 + 128*x^2 -704*x -224)*(x^12 + 5*x^11 -5*x^10 -50*x^9 -7*x^8 + 176*x^7 + 52*x^6 -273*x^5 -40*x^4 + 172*x^3 -21*x^2 -14*x -1)^2*(x^12 -x^11 -19*x^10 + 18*x^9 + 131*x^8 -108*x^7 -408*x^6 + 253*x^5 + 590*x^4 -222*x^3 -327*x^2 + 56*x + 23)^2*(x^28 + x^27 -64*x^26 -59*x^25 + 1800*x^24 + 1536*x^23 -29290*x^22 -23364*x^21 + 305595*x^20 + 231601*x^19 -2141802*x^18 -1577354*x^17 + 10276754*x^16 + 7560317*x^15 -33781344*x^14 -25596771*x^13 + 74868552*x^12 + 60334520*x^11 -107680972*x^10 -95673634*x^9 + 92584014*x^8 + 96019821*x^7 -38120682*x^6 -54397184*x^5 + 98147*x^4 + 13004480*x^3 + 3647817*x^2 + 124024*x -20912)^2*(x^26 -9*x^25 -14*x^24 + 347*x^23 -440*x^22 -5332*x^21 + 13764*x^20 + 39928*x^19 -160745*x^18 -124315*x^17 + 1006188*x^16 -183926*x^15 -3601124*x^14 + 2698549*x^13 + 7183906*x^12 -8455531*x^11 -7245596*x^10 + 12026066*x^9 + 3083386*x^8 -8442598*x^7 -72382*x^6 + 2758367*x^5 -243716*x^4 -316554*x^3 + 37217*x^2 + 6026*x -695)^2*(x )^2*(x + 1)^4*(x + 3)^4*(x -2)^4*(x -1)^4*(x^3 -3*x^2 -x + 1)^4*(x + 2)^7;
T[2014,5]=(x^2 -3)*(x^6 + 3*x^5 -12*x^4 -38*x^3 + 6*x^2 + 48*x + 19)*(x^12 -6*x^11 -31*x^10 + 216*x^9 + 287*x^8 -2610*x^7 -942*x^6 + 12401*x^5 + 3326*x^4 -18196*x^3 -17007*x^2 -5453*x -578)*(x^7 + 8*x^6 + 11*x^5 -56*x^4 -158*x^3 -6*x^2 + 275*x + 175)*(x^9 -4*x^8 -20*x^7 + 76*x^6 + 129*x^5 -380*x^4 -455*x^3 + 527*x^2 + 617*x + 29)*(x^8 -x^7 -15*x^6 + 17*x^5 + 48*x^4 -80*x^3 + 35*x^2 -2*x -1)*(x^11 -3*x^10 -26*x^9 + 80*x^8 + 195