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\\ 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.

\\ INCOMPLETE

{
T=matrix(1000,5,m,n,0);

T[501,2]=(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^8 + 3*x^7 -10*x^6 -34*x^5 + 17*x^4 + 100*x^3 + 43*x^2 -21*x -7)*(x^2 + x -1)^2*(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)^2;
T[501,3]=(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;
T[501,5]=(x + 4)*(x^5 + x^4 -9*x^3 -2*x^2 + 17*x -1)*(x^5 + 9*x^4 + 25*x^3 + 12*x^2 -39*x -37)*(x^8 -7*x^7 + 7*x^6 + 50*x^5 -125*x^4 + 9*x^3 + 196*x^2 -124*x -18)*(x^8 -x^7 -21*x^6 + 18*x^5 + 91*x^4 -117*x^3 -18*x^2 + 48*x -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)^2*(x + 1)^4;

T[502,2]=(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;
T[502,3]=(x^5 + x^4 -7*x^3 -4*x^2 + 6*x -1)*(x^6 -x^5 -16*x^4 + 9*x^3 + 74*x^2 -8*x -88)*(x^5 -2*x^4 -9*x^3 + 14*x^2 + 16*x -8)*(x -1)^2*(x + 1)^2*(x^4 + 2*x^3 -2*x^2 -3*x + 1)^2*(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)^2;
T[502,5]=(x^2 + 3*x + 1)*(x^5 + 6*x^4 + 6*x^3 -18*x^2 -25*x + 7)*(x^6 + x^5 -14*x^4 -3*x^3 + 44*x^2 -36*x + 8)*(x^5 -7*x^4 + 9*x^3 + 24*x^2 -52*x + 24)*(x^2 -5*x + 3)*(x^4 + 3*x^3 -2*x^2 -2*x + 1)^2*(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)^2;

T[503,2]=(x + 1)*(x^3 -5*x + 3)*(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)*(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)*(x -1)^2;
T[503,3]=(x -3)*(x^3 -x^2 -4*x + 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)*(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)*(x -1)^2;
T[503,5]=(x + 4)*(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)*(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)*(x + 2)^2*(x )^3;

T[504,2]=(x^2 -x + 2)*(x^4 + x^2 + 4)*(x^2 + x + 2)^2*(x -1)^3*(x + 1)^4*(x )^64;
T[504,3]=(x^2 -2*x + 3)*(x^2 + 3)*(x^2 + 2*x + 3)^3*(x -1)^7*(x + 1)^8*(x )^56;
T[504,5]=(x^2 -12)^4*(x -4)^5*(x + 4)^5*(x -2)^18*(x )^22*(x + 2)^23;

T[505,2]=(x -1)*(x^6 + 3*x^5 -4*x^4 -17*x^3 -5*x^2 + 13*x + 5)*(x^8 + 5*x^7 + x^6 -26*x^5 -27*x^4 + 30*x^3 + 46*x^2 + 9*x -1)*(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)*(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)*(x^7 -13*x^5 + 2*x^4 + 47*x^3 -16*x^2 -43*x + 14)^2*(x )^2;
T[505,3]=(x^6 + x^5 -9*x^4 -8*x^3 + 15*x^2 + 7*x -8)*(x^8 + 11*x^7 + 43*x^6 + 62*x^5 -11*x^4 -91*x^3 -34*x^2 + 16*x + 4)*(x^9 -7*x^8 + 7*x^7 + 44*x^6 -87*x^5 -63*x^4 + 210*x^3 -28*x^2 -116*x + 28)*(x^9 -x^8 -17*x^7 + 14*x^6 + 91*x^5 -57*x^4 -180*x^3 + 88*x^2 + 108*x -52)*(x )*(x + 2)^2*(x^7 -4*x^6 -7*x^5 + 38*x^4 + 4*x^3 -96*x^2 + 13*x + 68)^2;
T[505,5]=(x^2 + x + 5)*(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)*(x + 1)^16*(x -1)^17;

T[506,2]=(x^6 + x^5 + 2*x^4 + 5*x^3 + 4*x^2 + 4*x + 8)*(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)*(x^6 -3*x^5 + 6*x^4 -9*x^3 + 12*x^2 -12*x + 8)*(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)*(x^2 + 2*x + 2)^2*(x^4 + x^3 + 3*x^2 + 2*x + 4)^2*(x -1)^11*(x + 1)^12;
T[506,3]=(x^3 -3*x^2 -6*x + 17)*(x^3 -3*x^2 -2*x + 5)*(x^4 + x^3 -6*x^2 -3*x + 8)*(x^5 -x^4 -12*x^3 + 13*x^2 + 22*x -8)*(x^3 -3*x^2 + 3)^2*(x^3 + 5*x^2 + 4*x -5)^2*(x^5 + 5*x^4 + 3*x^3 -10*x^2 -4*x + 1)^2*(x^6 -7*x^5 + 11*x^4 + 18*x^3 -56*x^2 + 33*x -4)^2*(x + 2)^3*(x + 1)^4*(x^2 -5)^4*(x )^5;
T[506,5]=(x -3)*(x^3 + 7*x^2 + 8*x -15)*(x^4 -2*x^3 -11*x^2 + 23*x -1)*(x^5 -4*x^4 -7*x^3 + 31*x^2 + x -18)*(x + 3)^2*(x -4)^2*(x + 1)^2*(x^3 + 5*x^2 + 4*x -5)^2*(x^5 + 3*x^4 -14*x^3 -43*x^2 -12*x + 16)^2*(x^6 -3*x^5 -12*x^4 + 25*x^3 + 38*x^2 -40*x -32)^2*(x^3 -3*x^2 + 3)^3*(x^2 + 2*x -4)^4*(x -1)^5;

T[507,2]=(x^2 + x -4)*(x^2 -2*x -1)*(x^2 -x -4)*(x^3 + x^2 -2*x -1)*(x^3 -3*x^2 -4*x + 13)*(x^3 + 3*x^2 -4*x -13)*(x^3 -x^2 -2*x + 1)*(x + 1)^2*(x^2 + 2*x -1)^2*(x^3 + 2*x^2 -x -1)^2*(x^3 -2*x^2 -x + 1)^2*(x )^2*(x -1)^3*(x^2 -3)^3;
T[507,3]=(x^2 -2*x + 3)^2*(x^6 + 2*x^5 + 8*x^4 + 11*x^3 + 24*x^2 + 18*x + 27)^2*(x + 1)^15*(x -1)^16;
T[507,5]=(x + 1)*(x + 2)*(x -1)*(x^2 -3*x -2)*(x^2 + 3*x -2)*(x^2 -12)*(x^3 + 6*x^2 + 5*x -13)*(x^3 -6*x^2 + 5*x + 13)*(x -2)^2*(x^2 -3)^2*(x )^2*(x^2 -8)^3*(x^3 + 4*x^2 + 3*x -1)^3*(x^3 -4*x^2 + 3*x + 1)^3;

T[508,2]=(x^14 -2*x^13 + 6*x^12 -9*x^11 + 21*x^10 -28*x^9 + 51*x^8 -57*x^7 + 102*x^6 -112*x^5 + 168*x^4 -144*x^3 + 192*x^2 -128*x + 128)*(x^6 + 3*x^5 + 6*x^4 + 9*x^3 + 12*x^2 + 12*x + 8)*(x -1)^5*(x + 1)^6*(x )^31;
T[508,3]=(x^2 + 2*x -4)*(x^3 -x^2 -6*x -3)*(x^3 + 3*x^2 -1)*(x^5 + 2*x^4 -10*x^3 -16*x^2 + 10*x + 16)^2*(x^3 + 3*x^2 -3)^3*(x^7 -3*x^6 -12*x^5 + 39*x^4 + 26*x^3 -128*x^2 + 64*x + 16)^3*(x + 2)^4*(x )^4*(x -2)^6;
T[508,5]=(x^2 -2*x -4)*(x^3 -4*x^2 + x + 3)*(x^3 -9*x + 9)*(x + 2)^2*(x + 1)^2*(x -2)^2*(x + 3)^2*(x^2 + x -4)^2*(x^5 + x^4 -20*x^3 -18*x^2 + 54*x + 54)^2*(x )^2*(x^3 + 6*x^2 + 9*x + 1)^3*(x^7 -8*x^6 + 11*x^5 + 53*x^4 -146*x^3 + 32*x^2 + 128*x -48)^3;

T[509,2]=(x^28 -3*x^27 -44*x^26 + 135*x^25 + 847*x^24 -2674*x^23 -9369*x^22 + 30699*x^21 + 65714*x^20 -226429*x^19 -303558*x^18 + 1123948*x^17 + 922806*x^16 -3822074*x^15 -1752519*x^14 + 8879314*x^13 + 1675588*x^12 -13751763*x^11 + 382971*x^10 + 13397267*x^9 -2958134*x^8 -7169500*x^7 + 3056380*x^6 + 1305763*x^5 -1072947*x^4 + 245723*x^3 -24485*x^2 + 1114*x -19)*(x^14 + 3*x^13 -11*x^12 -36*x^11 + 43*x^10 + 161*x^9 -70*x^8 -337*x^7 + 29*x^6 + 336*x^5 + 40*x^4 -139*x^3 -36*x^2 + 12*x + 3);
T[509,3]=(x^28 -5*x^27 -48*x^26 + 272*x^25 + 931*x^24 -6405*x^23 -8850*x^22 + 85759*x^21 + 31965*x^20 -721317*x^19 + 164032*x^18 + 3972999*x^17 -2503752*x^16 -14475994*x^15 + 13508475*x^14 + 34330526*x^13 -41204799*x^12 -50312318*x^11 + 75928604*x^10 + 39824769*x^9 -82931046*x^8 -9371818*x^7 + 49394521*x^6 -6602510*x^5 -13320545*x^4 + 3321297*x^3 + 1196222*x^2 -267183*x -31583)*(x^14 + 5*x^13 -11*x^12 -81*x^11 + 8*x^10 + 438*x^9 + 183*x^8 -1032*x^7 -579*x^6 + 1074*x^5 + 579*x^4 -417*x^3 -172*x^2 + 29*x + 11);
T[509,5]=(x^28 -x^27 -86*x^26 + 100*x^25 + 3226*x^24 -4251*x^23 -69315*x^22 + 101474*x^21 + 941574*x^20 -1508877*x^19 -8418071*x^18 + 14621274*x^17 + 49979838*x^16 -93690681*x^15 -194106206*x^14 + 394225378*x^13 + 473294393*x^12 -1060961763*x^11 -669570897*x^10 + 1744938012*x^9 + 465995781*x^8 -1643052709*x^7 -73313109*x^6 + 799280568*x^5 -66191620*x^4 -163204400*x^3 + 24714384*x^2 + 6775680*x -395200)*(x^14 + 5*x^13 -17*x^12 -121*x^11 -3*x^10 + 866*x^9 + 897*x^8 -2207*x^7 -3776*x^6 + 1189*x^5 + 4603*x^4 + 984*x^3 -1708*x^2 -736*x -16);

T[510,2]=(x^4 -x^3 + x^2 -2*x + 4)*(x^8 -x^7 + x^5 + x^4 + 2*x^3 -8*x + 16)*(x^4 -3*x^3 + 5*x^2 -6*x + 4)*(x^6 + 2*x^4 + x^3 + 4*x^2 + 8)*(x^2 + 2)^2*(x^4 + x^3 + 2*x + 4)^2*(x^4 + 2*x^3 + 3*x^2 + 4*x + 4)^2*(x^2 -x + 2)^2*(x^4 + x^2 + 4)^2*(x^2 + x + 2)^6*(x -1)^17*(x + 1)^18;
T[510,3]=(x^2 -3*x + 3)*(x^4 + x^3 + 2*x^2 + 3*x + 9)*(x^2 -2*x + 3)^2*(x^4 -2*x^3 + 4*x^2 -6*x + 9)^2*(x^2 -x + 3)^2*(x^4 + 4*x^3 + 8*x^2 + 12*x + 9)^2*(x^2 + 2*x + 3)^4*(x^2 + 3)^4*(x -1)^27*(x + 1)^28;
T[510,5]=(x^2 + 4*x + 5)*(x^2 -3*x + 5)^2*(x^4 -3*x^3 + 8*x^2 -15*x + 25)^2*(x^2 + 5)^3*(x^2 + 2*x + 5)^5*(x -1)^35*(x + 1)^36;

T[511,2]=(x^3 -x^2 -4*x -1)*(x^3 -5*x + 1)*(x^6 + 3*x^5 -3*x^4 -12*x^3 + 7*x -1)*(x^6 + 3*x^5 -3*x^4 -12*x^3 + 11*x + 3)*(x^9 -2*x^8 -10*x^7 + 18*x^6 + 33*x^5 -50*x^4 -40*x^3 + 45*x^2 + 17*x -11)*(x^10 -4*x^9 -9*x^8 + 50*x^7 + 4*x^6 -194*x^5 + 123*x^4 + 224*x^3 -231*x^2 + 11*x + 27)*(x -1)^2*(x^2 -x -3)^2*(x^2 + 3*x + 1)^2;
T[511,3]=(x^6 -x^5 -6*x^4 + 4*x^3 + 8*x^2 -1)*(x^6 + 5*x^5 + 4*x^4 -10*x^3 -10*x^2 + 4*x + 3)*(x^10 + x^9 -34*x^8 -28*x^7 + 440*x^6 + 278*x^5 -2679*x^4 -1138*x^3 + 7540*x^2 + 1576*x -7520)*(x^9 + x^8 -22*x^7 -30*x^6 + 138*x^5 + 250*x^4 -167*x^3 -480*x^2 -144*x + 64)*(x^2 + 3*x + 1)^2*(x^2 -x -3)^2*(x -2)^3*(x )^5;
T[511,5]=(x^3 + x^2 -4*x + 1)*(x^3 -3*x^2 -2*x + 3)*(x^6 + 6*x^5 + 5*x^4 -15*x^3 -4*x^2 + 11*x -3)*(x^6 + 2*x^5 -15*x^4 -29*x^3 + 46*x^2 + 59*x -59)*(x^9 -7*x^8 -7*x^7 + 139*x^6 -203*x^5 -448*x^4 + 1101*x^3 -283*x^2 -401*x + 59)*(x^10 -x^9 -39*x^8 + 45*x^7 + 509*x^6 -680*x^5 -2299*x^4 + 3603*x^3 + 925*x^2 -2281*x + 554)*(x -2)^2*(x^2 + x -3)^2*(x^2 + 3*x + 1)^2;

T[512,2]=(x )^49;
T[512,3]=(x^2 + 4*x + 2)*(x^2 -4*x + 2)*(x^2 -8)^2*(x^2 -6)^2*(x^2 -2)^4*(x -2)^8*(x + 2)^8*(x )^13;
T[512,5]=(x + 4)^2*(x -4)^2*(x^2 -12)^2*(x^2 -8)^2*(x -2)^12*(x )^12*(x + 2)^13;

T[513,2]=(x^2 -3)*(x^3 -3*x^2 + 3)*(x^3 + 3*x^2 -3)*(x^3 -x^2 -4*x + 1)*(x^3 + x^2 -4*x -1)*(x^4 -8*x^2 + 13)*(x^4 -6*x^2 + 3)*(x^4 -9*x^2 + 12)^2*(x + 1)^3*(x -2)^4*(x -1)^4*(x + 2)^6*(x )^8;
T[513,3]=(x + 1)*(x^2 + 2*x + 3)*(x -1)^2*(x )^50;
T[513,5]=(x^2 -12)*(x^3 -5*x^2 + 4*x + 3)*(x^3 + 5*x^2 + 4*x -3)*(x^3 + 3*x^2 -3)*(x^3 -3*x^2 + 3)*(x^4 -20*x^2 + 52)*(x^4 -12*x^2 + 12)*(x + 1)^2*(x -2)^2*(x^4 -15*x^2 + 48)^2*(x -1)^3*(x + 2)^3*(x )^4*(x + 3)^5*(x -3)^6;

T[514,2]=(x^14 + 3*x^13 + 11*x^12 + 25*x^11 + 57*x^10 + 102*x^9 + 177*x^8 + 255*x^7 + 354*x^6 + 408*x^5 + 456*x^4 + 400*x^3 + 352*x^2 + 192*x + 128)*(x^28 -2*x^27 + 7*x^26 -10*x^25 + 23*x^24 -27*x^23 + 60*x^22 -69*x^21 + 138*x^20 -141*x^19 + 250*x^18 -225*x^17 + 450*x^16 -458*x^15 + 919*x^14 -916*x^13 + 1800*x^12 -1800*x^11 + 4000*x^10 -4512*x^9 + 8832*x^8 -8832*x^7 + 15360*x^6 -13824*x^5 + 23552*x^4 -20480*x^3 + 28672*x^2 -16384*x + 16384)*(x + 1)^10*(x -1)^11;
T[514,3]=(x + 2)*(x^2 -6)*(x^3 -2*x^2 -4*x + 4)*(x^9 -2*x^8 -20*x^7 + 40*x^6 + 116*x^5 -226*x^4 -204*x^3 + 376*x^2 + 96*x -176)*(x^5 -8*x^3 + 6*x -2)*(x )*(x^7 + 5*x^6 + x^5 -22*x^4 -17*x^3 + 15*x^2 + 8*x -4)^2*(x^14 -3*x^13 -23*x^12 + 74*x^11 + 173*x^10 -627*x^9 -500*x^8 + 2254*x^7 + 726*x^6 -3988*x^5 -858*x^4 + 3536*x^3 + 960*x^2 -1280*x -512)^2;
T[514,5]=(x^2 -6)*(x^3 -4*x^2 + 2*x + 2)*(x^5 + 4*x^4 -8*x^3 -48*x^2 -48*x -8)*(x^9 -4*x^8 -22*x^7 + 86*x^6 + 174*x^5 -612*x^4 -576*x^3 + 1440*x^2 + 640*x -16)*(x + 2)^2*(x^7 + x^6 -15*x^5 -5*x^4 + 52*x^3 -35*x^2 -2*x + 4)^2*(x^14 + x^13 -45*x^12 -21*x^11 + 740*x^10 -41*x^9 -5360*x^8 + 2796*x^7 + 16632*x^6 -14736*x^5 -18208*x^4 + 23232*x^3 -384*x^2 -5120*x + 512)^2;

T[515,2]=(x^4 + x^3 -3*x^2 -x + 1)*(x^9 -x^8 -14*x^7 + 12*x^6 + 64*x^5 -45*x^4 -107*x^3 + 64*x^2 + 52*x -24)*(x^14 + x^13 -22*x^12 -18*x^11 + 188*x^10 + 120*x^9 -778*x^8 -354*x^7 + 1574*x^6 + 400*x^5 -1345*x^4 -43*x^3 + 284*x^2 + 20*x -8)*(x^2 + 3*x + 1)^2*(x^4 + x^3 -5*x^2 -3*x + 3)^2*(x^6 -4*x^5 -x^4 + 17*x^3 -9*x^2 -16*x + 11)^2;
T[515,3]=(x^4 + x^3 -3*x^2 -x + 1)*(x^9 -3*x^8 -11*x^7 + 34*x^6 + 37*x^5 -113*x^4 -57*x^3 + 121*x^2 + 44*x -5)*(x^14 -x^13 -33*x^12 + 36*x^11 + 411*x^10 -499*x^9 -2353*x^8 + 3237*x^7 + 5790*x^6 -9331*x^5 -3658*x^4 + 8340*x^3 -856*x^2 -784*x -64)*(x^8 + 3*x^7 -13*x^6 -37*x^5 + 43*x^4 + 98*x^3 -68*x^2 -72*x + 48)*(x^6 -13*x^4 + 40*x^2 -8*x -16)^2*(x + 1)^4;
T[515,5]=(x^4 + 3*x^3 + 11*x^2 + 15*x + 25)*(x^12 -3*x^11 + 19*x^10 -41*x^9 + 167*x^8 -280*x^7 + 954*x^6 -1400*x^5 + 4175*x^4 -5125*x^3 + 11875*x^2 -9375*x + 15625)*(x + 1)^17*(x -1)^18;

T[516,2]=(x^2 -x + 2)*(x^2 + 2)*(x^6 + 2*x^5 + x^4 + 2*x^2 + 8*x + 8)*(x^4 -2*x^3 + 3*x^2 -4*x + 4)*(x^2 + 2*x + 2)^2*(x^4 + 2*x^2 + 4)^2*(x + 1)^7*(x -1)^8*(x )^42;
T[516,3]=(x^4 -4*x^3 + 8*x^2 -12*x + 9)*(x^4 + x^3 + x^2 + 3*x + 9)^2*(x^4 -x^3 + 5*x^2 -3*x + 9)^2*(x^4 + 4*x^2 + 9)^3*(x^2 + 2*x + 3)^4*(x + 1)^21*(x -1)^22;
T[516,5]=(x^2 + x -8)*(x^2 -x -14)*(x + 1)^2*(x -1)^2*(x + 3)^2*(x^2 -2)^2*(x^2 -2*x -1)^3*(x^3 + 4*x^2 -x -2)^3*(x )^3*(x -3)^4*(x^2 + 3*x + 1)^4*(x^2 -3*x -3)^4*(x -2)^5*(x + 4)^6*(x^2 -4*x + 2)^6*(x + 2)^8;

T[517,2]=(x^2 + 2*x -2)*(x^3 -x^2 -5*x + 1)*(x^10 + 6*x^9 + 3*x^8 -40*x^7 -56*x^6 + 79*x^5 + 148*x^4 -41*x^3 -112*x^2 -8*x + 4)*(x^2 -2)*(x^10 -3*x^9 -13*x^8 + 41*x^7 + 54*x^6 -189*x^5 -75*x^4 + 345*x^3 + x^2 -206*x + 36)*(x )*(x -2)^2*(x + 2)^2*(x^2 -2*x -1)^2*(x^4 -x^3 -5*x^2 + 5*x -1)^2*(x + 1)^3;
T[517,3]=(x^2 -2)*(x^2 -4*x + 2)*(x^3 -4*x + 2)*(x^10 + 7*x^9 + 6*x^8 -48*x^7 -78*x^6 + 92*x^5 + 139*x^4 -99*x^3 -30*x^2 + 20*x -2)*(x^3 + 4*x^2 -2*x -14)*(x^10 -2*x^9 -18*x^8 + 32*x^7 + 114*x^6 -182*x^5 -295*x^4 + 420*x^3 + 256*x^2 -298*x -24)*(x^4 -7*x^2 + 4*x + 1)^2*(x -3)^3*(x + 1)^6;
T[517,5]=(x + 3)*(x^2 + 2*x -1)*(x^2 -3)*(x^2 + 4*x + 2)*(x^2 -2)*(x^3 + 2*x^2 -4*x -6)*(x^3 -2*x^2 -2*x + 2)*(x^10 + 3*x^9 -27*x^8 -85*x^7 + 212*x^6 + 734*x^5 -490*x^4 -2096*x^3 + 384*x^2 + 1776*x -416)*(x^10 -4*x^9 -31*x^8 + 134*x^7 + 242*x^6 -1374*x^5 + 204*x^4 + 3840*x^3 -3792*x^2 + 704*x + 192)*(x -1)^2*(x -3)^2*(x^4 + 2*x^3 -16*x^2 -16*x + 48)^2;

T[518,2]=(x^4 -x^3 -2*x + 4)*(x^6 + 3*x^5 + 6*x^4 + 9*x^3 + 12*x^2 + 12*x + 8)*(x^8 -x^6 + x^5 + 5*x^4 + 2*x^3 -4*x^2 + 16)*(x^2 -x + 2)*(x^6 -x^5 + 4*x^4 -3*x^3 + 8*x^2 -4*x + 8)*(x^8 -x^7 + 2*x^6 -x^5 + 4*x^4 -2*x^3 + 8*x^2 -8*x + 16)*(x^2 + 2*x + 2)^2*(x^2 + 2)^4*(x -1)^13*(x + 1)^14;
T[518,3]=(x^2 -2*x -2)*(x^2 -2)*(x^2 + 3*x + 1)*(x^3 + x^2 -5*x + 2)*(x^5 -x^4 -11*x^3 + 12*x^2 + 24*x -28)*(x^3 -x^2 -7*x + 8)*(x + 2)^2*(x^2 -3*x -1)^2*(x^2 -8)^2*(x^3 + 2*x^2 -x -1)^2*(x^3 -3*x -1)^2*(x^4 -2*x^3 -5*x^2 + 7*x + 4)^2*(x^4 -15*x^2 + 3*x + 48)^2*(x^2 + x -1)^2*(x + 3)^4*(x -1)^4*(x )^6;
T[518,5]=(x^2 -8)*(x^3 + 3*x^2 -x -2)*(x^5 + 3*x^4 -15*x^3 -20*x^2 + 80*x -48)*(x^2 + 3*x + 1)*(x^3 -3*x^2 -7*x + 20)*(x -4)^2*(x^2 -x -4)^2*(x^2 + x -3)^2*(x^2 -6*x + 7)^2*(x^3 + 6*x^2 + 9*x + 3)^2*(x^3 + 6*x^2 + 5*x -13)^2*(x^4 -6*x^3 + 7*x^2 + 5*x -2)^2*(x^4 -x^3 -9*x^2 + 8*x + 13)^2*(x^2 -x -11)^2*(x + 2)^4*(x )^8;

T[519,2]=(x^3 + 2*x^2 -x -1)*(x^3 -3*x -1)*(x^11 -3*x^10 -12*x^9 + 39*x^8 + 43*x^7 -165*x^6 -45*x^5 + 271*x^4 -29*x^3 -134*x^2 + 60*x -7)*(x^12 + 2*x^11 -19*x^10 -37*x^9 + 128*x^8 + 244*x^7 -352*x^6 -664*x^5 + 316*x^4 + 597*x^3 -24*x^2 -27*x + 1)*(x^4 + x^3 -3*x^2 -x + 1)^2*(x^10 -x^9 -16*x^8 + 16*x^7 + 85*x^6 -80*x^5 -175*x^4 + 136*x^3 + 138*x^2 -71*x -25)^2;
T[519,3]=(x^8 + 6*x^7 + 22*x^6 + 57*x^5 + 113*x^4 + 171*x^3 + 198*x^2 + 162*x + 81)*(x^20 -8*x^19 + 41*x^18 -157*x^17 + 504*x^16 -1408*x^15 + 3526*x^14 -8020*x^13 + 16785*x^12 -32492*x^11 + 58415*x^10 -97476*x^9 + 151065*x^8 -216540*x^7 + 285606*x^6 -342144*x^5 + 367416*x^4 -343359*x^3 + 269001*x^2 -157464*x + 59049)*(x -1)^14*(x + 1)^15;
T[519,5]=(x^3 + 5*x^2 + 6*x + 1)*(x^3 + 3*x^2 -3)*(x^11 -9*x^10 + 7*x^9 + 150*x^8 -451*x^7 -80*x^6 + 1582*x^5 -1057*x^4 -951*x^3 + 439*x^2 + 44*x + 1)*(x^12 -x^11 -49*x^10 + 42*x^9 + 919*x^8 -688*x^7 -8144*x^6 + 5699*x^5 + 33691*x^4 -25057*x^3 -52812*x^2 + 45721*x + 3682)*(x^4 + x^3 -5*x^2 -7*x -1)^2*(x^10 -x^9 -29*x^8 + 41*x^7 + 253*x^6 -452*x^5 -548*x^4 + 1344*x^3 -544*x^2 -128*x + 64)^2;

T[520,2]=(x^4 + 2*x^3 + 3*x^2 + 4*x + 4)*(x^2 + x + 2)*(x^4 + x^2 + 4)*(x + 1)^3*(x -1)^4*(x )^60;
T[520,3]=(x^2 -2*x -4)*(x^2 + 4*x + 2)*(x^2 -6)*(x^2 + 2*x -2)^2*(x^2 -x -4)^2*(x^3 -2*x^2 -8*x + 12)^2*(x^2 -2)^4*(x^2 -2*x -2)^4*(x -2)^6*(x + 3)^6*(x -1)^8*(x )^10*(x + 2)^11;
T[520,5]=(x^4 -3*x^3 + 8*x^2 -15*x + 25)*(x^2 -2*x + 5)^2*(x^2 + 3*x + 5)^3*(x^2 + x + 5)^4*(x -1)^27*(x + 1)^28;

T[521,2]=(x^14 + 2*x^13 -13*x^12 -25*x^11 + 63*x^10 + 115*x^9 -142*x^8 -242*x^7 + 151*x^6 + 238*x^5 -65*x^4 -104*x^3 + 2*x^2 + 17*x + 3)*(x^29 -x^28 -50*x^27 + 49*x^26 + 1112*x^25 -1061*x^24 -14511*x^23 + 13387*x^22 + 123412*x^21 -109286*x^20 -718385*x^19 + 606113*x^18 + 2924033*x^17 -2333576*x^16 -8348401*x^15 + 6263323*x^14 + 16508066*x^13 -11605772*x^12 -21923563*x^11 + 14498124*x^10 + 18478199*x^9 -11710480*x^8 -8913548*x^7 + 5683110*x^6 + 1973213*x^5 -1428489*x^4 -75206*x^3 + 126742*x^2 -12580*x -647);
T[521,3]=(x^14 + 5*x^13 -9*x^12 -73*x^11 -8*x^10 + 358*x^9 + 250*x^8 -654*x^7 -659*x^6 + 261*x^5 + 453*x^4 + 76*x^3 -67*x^2 -28*x -3)*(x^29 -3*x^28 -57*x^27 + 175*x^26 + 1416*x^25 -4478*x^24 -20174*x^23 + 66310*x^22 + 182503*x^21 -631731*x^20 -1095179*x^19 + 4074814*x^18 + 4405585*x^17 -18242234*x^16 -11594711*x^15 + 57146460*x^14 + 18034386*x^13 -124534362*x^12 -9245398*x^11 + 184711504*x^10 -21908590*x^9 -178114686*x^8 + 50841804*x^7 + 101705076*x^6 -45772420*x^5 -27285314*x^4 + 18445740*x^3 + 700184*x^2 -2236414*x + 374662);
T[521,5]=(x^14 + 3*x^13 -27*x^12 -92*x^11 + 203*x^10 + 917*x^9 -126*x^8 -3265*x^7 -2489*x^6 + 3061*x^5 + 4750*x^4 + 1154*x^3 -1150*x^2 -742*x -125)*(x^29 + x^28 -93*x^27 -66*x^26 + 3823*x^25 + 1579*x^24 -91624*x^23 -10829*x^22 + 1420077*x^21 -238337*x^20 -14904844*x^19 + 6557662*x^18 + 107682638*x^17 -74932098*x^16 -532623473*x^15 + 498953610*x^14 + 1754721156*x^13 -2051596488*x^12 -3637268440*x^11 + 5122275040*x^10 + 4290498968*x^9 -7224726888*x^8 -2565373648*x^7 + 5076815504*x^6 + 1157607376*x^5 -1770925392*x^4 -462474672*x^3 + 226762208*x^2 + 79303760*x + 3136144);

T[522,2]=(x^4 -2*x^3 + 3*x^2 -4*x + 4)*(x^6 + 2*x^5 + 2*x^4 + x^3 + 4*x^2 + 8*x + 8)*(x^4 + x^3 + 3*x^2 + 2*x + 4)^2*(x^6 -2*x^5 + 2*x^4 -x^3 + 4*x^2 -8*x + 8)^2*(x^4 -x^3 + 3*x^2 -2*x + 4)^3*(x^4 + 2*x^3 + 3*x^2 + 4*x + 4)^3*(x -1)^14*(x + 1)^15;
T[522,3]=(x^2 + x + 3)*(x^2 + 3*x + 3)*(x^4 -2*x^3 + 5*x^2 -6*x + 9)^2*(x -1)^7*(x + 1)^8*(x )^56;
T[522,5]=(x^2 + 2*x -4)^2*(x^3 -16*x -8)^2*(x^2 -2*x -4)^4*(x^3 -16*x + 8)^4*(x -3)^6*(x + 2)^6*(x -2)^7*(x + 3)^8*(x -1)^10*(x + 1)^16;

T[523,2]=(x^2 + 3*x + 1)*(x^15 + 6*x^14 -2*x^13 -71*x^12 -72*x^11 + 308*x^10 + 492*x^9 -587*x^8 -1283*x^7 + 418*x^6 + 1526*x^5 + 33*x^4 -774*x^3 -85*x^2 + 141*x + 8)*(x^26 -9*x^25 -x^24 + 231*x^23 -464*x^22 -2306*x^21 + 7763*x^20 + 10298*x^19 -60057*x^18 -8015*x^17 + 266789*x^16 -125796*x^15 -723565*x^14 + 622138*x^13 + 1202991*x^12 -1407289*x^11 -1178824*x^10 + 1766306*x^9 + 617378*x^8 -1241966*x^7 -135947*x^6 + 462396*x^5 + 400*x^4 -78680*x^3 + 2576*x^2 + 4032*x -384);
T[523,3]=(x^2 + 3*x + 1)*(x^15 + 3*x^14 -17*x^13 -50*x^12 + 111*x^11 + 312*x^10 -349*x^9 -897*x^8 + 543*x^7 + 1180*x^6 -401*x^5 -623*x^4 + 181*x^3 + 114*x^2 -33*x -2)*(x^26 -4*x^25 -49*x^24 + 208*x^23 + 1012*x^22 -4663*x^21 -11396*x^20 + 59094*x^19 + 75007*x^18 -466388*x^17 -280600*x^16 + 2381986*x^15 + 472857*x^14 -7939604*x^13 + 309652*x^12 + 17086537*x^11 -2646657*x^10 -23178878*x^9 + 3952698*x^8 + 19159320*x^7 -1998424*x^6 -9145408*x^5 -112256*x^4 + 2223616*x^3 + 295296*x^2 -196608*x -42496);
T[523,5]=(x^2 -5)*(x^15 + 19*x^14 + 140*x^13 + 442*x^12 + 24*x^11 -4077*x^10 -11810*x^9 -10832*x^8 + 8722*x^7 + 23778*x^6 + 9378*x^5 -9987*x^4 -8231*x^3 -341*x^2 + 1043*x + 218)*(x^26 -21*x^25 + 133*x^24 + 189*x^23 -5652*x^22 + 16091*x^21 + 67148*x^20 -424783*x^19 + 1108*x^18 + 4494594*x^17 -6685702*x^16 -23809605*x^15 + 66301197*x^14 + 54241804*x^13 -319227622*x^12 + 53568465*x^11 + 861747737*x^10 -640623368*x^9 -1250489090*x^8 + 1587993980*x^7 + 684118440*x^6 -1736185744*x^5 + 365192256*x^4 + 648584256*x^3 -446921856*x^2 + 106382592*x -8750592);

T[524,2]=(x^2 + 2)*(x^20 + 2*x^18 + 2*x^17 + 3*x^16 + 10*x^15 + 6*x^14 + 16*x^13 + 28*x^12 + 24*x^11 + 80*x^10 + 48*x^9 + 112*x^8 + 128*x^7 + 96*x^6 + 320*x^5 + 192*x^4 + 256*x^3 + 512*x^2 + 1024)*(x + 1)^5*(x -1)^5*(x )^32;
T[524,3]=(x -1)*(x^2 + 3*x + 1)*(x^4 -x^3 -12*x^2 + 7*x + 29)*(x^4 -3*x^3 -2*x^2 + 6*x + 3)*(x + 2)^2*(x^2 + x -3)^2*(x^2 -3*x + 1)^2*(x^2 + 2*x -2)^2*(x^2 -2)^2*(x )^2*(x + 1)^3*(x^10 -x^9 -22*x^8 + 24*x^7 + 157*x^6 -184*x^5 -403*x^4 + 533*x^3 + 222*x^2 -390*x + 67)^3;
T[524,5]=(x^2 -x -1)*(x^4 + 3*x^3 -9*x^2 -16*x + 24)*(x^4 -2*x^3 -13*x^2 + 30*x -3)*(x^2 -2*x -2)^2*(x^2 + 5*x + 3)^2*(x^2 + x -1)^2*(x^2 -4*x + 2)^2*(x )^2*(x^10 -4*x^9 -26*x^8 + 116*x^7 + 155*x^6 -988*x^5 + 138*x^4 + 2384*x^3 -763*x^2 -1856*x + 8)^3*(x + 2)^6;

T[525,2]=(x^2 + 3*x + 1)*(x^2 -3*x + 1)*(x^2 + x -3)*(x^2 -x -3)*(x^3 -x^2 -5*x + 1)*(x^3 + x^2 -5*x -1)*(x^2 -x -1)^2*(x^2 -x -4)^2*(x^2 + x -1)^2*(x^2 -5)^3*(x + 2)^4*(x -2)^4*(x^2 + x -4)^4*(x -1)^6*(x )^6*(x + 1)^9;
T[525,3]=(x^4 -x^3 + 2*x^2 -3*x + 9)*(x^4 + 2*x^3 + 2*x^2 + 6*x + 9)*(x^4 -2*x^3 + 2*x^2 -6*x + 9)*(x^2 + x + 3)^2*(x^4 + x^3 + 2*x^2 + 3*x + 9)^2*(x^2 -x + 3)^3*(x -1)^19*(x + 1)^20;
T[525,5]=(x^2 + 2*x + 5)*(x + 1)^4*(x -1)^7*(x )^56;

T[526,2]=(x^10 + 2*x^9 + 7*x^8 + 10*x^7 + 22*x^6 + 25*x^5 + 44*x^4 + 40*x^3 + 56*x^2 + 32*x + 32)*(x^34 -x^33 + 8*x^32 -8*x^31 + 38*x^30 -33*x^29 + 139*x^28 -103*x^27 + 431*x^26 -279*x^25 + 1207*x^24 -723*x^23 + 3099*x^22 -1762*x^21 + 7322*x^20 -3939*x^19 + 15935*x^18 -8185*x^17 + 31870*x^16 -15756*x^15 + 58576*x^14 -28192*x^13 + 99168*x^12 -46272*x^11 + 154496*x^10 -71424*x^9 + 220672*x^8 -105472*x^7 + 284672*x^6 -135168*x^5 + 311296*x^4 -131072*x^3 + 262144*x^2 -65536*x + 131072)*(x -1)^10*(x + 1)^11;
T[526,3]=(x^2 -8)*(x^4 + 5*x^3 + 6*x^2 -1)*(x^5 + 3*x^4 -4*x^3 -10*x^2 + 7*x + 4)*(x^6 -3*x^5 -6*x^4 + 20*x^3 + 3*x^2 -32*x + 16)*(x^4 -x^3 -4*x^2 + 2*x + 3)*(x^5 + 5*x^4 + 5*x^3 -6*x^2 -7*x + 1)^2*(x^17 -7*x^16 -14*x^15 + 191*x^14 -93*x^13 -1956*x^12 + 2598*x^11 + 9587*x^10 -17149*x^9 -23845*x^8 + 50477*x^7 + 30119*x^6 -69326*x^5 -20491*x^4 + 39160*x^3 + 7677*x^2 -4259*x -119)^2;
T[526,5]=(x^2 -6*x + 7)*(x^4 + 7*x^3 + 10*x^2 -16*x -31)*(x^5 -x^4 -12*x^3 + 12*x^2 + 21*x -8)*(x^6 -5*x^5 + x^4 + 21*x^3 -11*x^2 -22*x -1)*(x^4 + 5*x^3 + 4*x^2 -8*x -9)*(x^5 + 3*x^4 -x^3 -7*x^2 -2*x + 1)^2*(x^17 -3*x^16 -61*x^15 + 185*x^14 + 1458*x^13 -4495*x^12 -17168*x^11 + 54320*x^10 + 102152*x^9 -337584*x^8 -280480*x^7 + 1002880*x^6 + 291584*x^5 -1189120*x^4 -151040*x^3 + 473088*x^2 + 65536*x -4096)^2;

T[527,2]=(x^5 + 2*x^4 -5*x^3 -7*x^2 + 7*x + 1)*(x^7 + x^6 -8*x^5 -8*x^4 + 15*x^3 + 13*x^2 -8*x -5)*(x^11 + 2*x^10 -17*x^9 -34*x^8 + 101*x^7 + 202*x^6 -238*x^5 -469*x^4 + 182*x^3 + 295*x^2 -83*x -3)*(x^16 -3*x^15 -22*x^14 + 70*x^13 + 179*x^12 -631*x^11 -642*x^10 + 2789*x^9 + 792*x^8 -6335*x^7 + 903*x^6 + 6928*x^5 -3096*x^4 -2631*x^3 + 2063*x^2 -344*x -11)*(x + 1)^2*(x^2 -x -1)^3;
T[527,3]=(x^5 + 3*x^4 -3*x^3 -11*x^2 + 2*x + 7)*(x^7 + 3*x^6 -7*x^5 -23*x^4 + 2*x^3 + 33*x^2 + 22*x + 4)*(x^2 -5)*(x^11 -7*x^10 + 3*x^9 + 71*x^8 -105*x^7 -252*x^6 + 472*x^5 + 388*x^4 -741*x^3 -302*x^2 + 330*x + 139)*(x^16 -3*x^15 -34*x^14 + 102*x^13 + 444*x^12 -1341*x^11 -2785*x^10 + 8642*x^9 + 8401*x^8 -28364*x^7 -10183*x^6 + 44605*x^5 + 2730*x^4 -29441*x^3 -966*x^2 + 7148*x + 1008)*(x^2 + 2*x -4)^2*(x )^2;
T[527,5]=(x^5 + 2*x^4 -8*x^3 -11*x^2 + 18*x + 9)*(x^7 + 6*x^6 + 5*x^5 -29*x^4 -54*x^3 + 8*x^2 + 60*x + 23)*(x^11 -6*x^10 -30*x^9 + 217*x^8 + 276*x^7 -2917*x^6 -404*x^5 + 17936*x^4 -5320*x^3 -49088*x^2 + 17152*x + 46272)*(x^16 -4*x^15 -57*x^14 + 249*x^13 + 1172*x^12 -5894*x^11 -9730*x^10 + 65513*x^9 + 14914*x^8 -336400*x^7 + 164680*x^6 + 663056*x^5 -440640*x^4 -529088*x^3 + 302976*x^2 + 133120*x -67584)*(x + 2)^2*(x )^2*(x -1)^4;

T[528,2]=(x + 1)*(x^2 -x + 2)*(x -1)^2*(x^2 + 2*x + 2)^2*(x )^76;
T[528,3]=(x^2 -3*x + 3)*(x^4 + x^3 + 2*x^2 + 3*x + 9)*(x^2 + 3*x + 3)^2*(x^4 -x^3 + 2*x^2 -3*x + 9)^2*(x^2 -x + 3)^4*(x^2 + x + 3)^6*(x -1)^23*(x + 1)^24;
T[528,5]=(x -4)^3*(x + 4)^5*(x^2 -3*x -2)^6*(x )^8*(x -1)^12*(x + 3)^14*(x + 2)^15*(x -2)^16;

T[529,2]=(x^3 -6*x -3)*(x^2 -2*x -1)^2*(x^2 -3)^2*(x^2 + x -3)^2*(x^5 -2*x^4 -5*x^3 + 13*x^2 -7*x + 1)^2*(x^2 + x -1)^3*(x + 1)^4;
T[529,3]=(x^3 -9*x -4)*(x^2 -2*x -2)^2*(x^2 -2)^2*(x^2 + 2*x -2)^2*(x^5 -2*x^4 -5*x^3 + 13*x^2 -7*x + 1)^2*(x^2 -5)^3*(x + 1)^4;
T[529,5]=(x^2 + 2*x -7)*(x^2 -2*x -7)*(x^2 -2*x -4)*(x^5 -7*x^4 + 13*x^3 + 6*x^2 -35*x + 23)*(x^5 + 7*x^4 + 13*x^3 -6*x^2 -35*x -23)*(x^4 -4*x^2 + 1)*(x^4 -14*x^2 + 36)*(x^2 -3)^2*(x^2 + 2*x -4)^2*(x )^3;

T[530,2]=(x^4 + 2*x^3 + 3*x^2 + 4*x + 4)*(x^4 + x^3 + x^2 + 2*x + 4)*(x^4 -3*x^3 + 5*x^2 -6*x + 4)*(x^4 + x^2 + 4)*(x^4 + x^3 + 3*x^2 + 2*x + 4)*(x^4 + x^3 -x^2 + 2*x + 4)*(x^4 -2*x^3 + 3*x^2 -4*x + 4)^2*(x^6 + x^5 + 3*x^4 + 3*x^3 + 6*x^2 + 4*x + 8)^2*(x^2 + x + 2)^3*(x + 1)^13*(x -1)^14;
T[530,3]=(x^3 -3*x^2 -2*x + 7)*(x^3 + x^2 -10*x -13)*(x^4 -x^3 -10*x^2 + 9*x + 16)*(x^5 -4*x^4 -3*x^3 + 23*x^2 -19*x + 4)*(x + 2)^2*(x^2 + 3*x + 1)^2*(x^2 -x -3)^2*(x^2 + x -1)^2*(x^2 + 2*x -1)^2*(x^4 + 2*x^3 -5*x^2 -4*x + 4)^2*(x^2 + x -5)^2*(x + 1)^3*(x -1)^3*(x )^3*(x^3 -3*x^2 -x + 1)^4*(x + 3)^5*(x -2)^6;
T[530,5]=(x^2 -x + 5)*(x^2 + 4*x + 5)*(x^2 -3*x + 5)*(x^6 + 2*x^5 + 11*x^4 + 16*x^3 + 55*x^2 + 50*x + 125)^2*(x^2 + 5)^3*(x -1)^26*(x + 1)^27;

T[531,2]=(x^3 -4*x + 1)*(x^5 -3*x^4 -3*x^3 + 11*x^2 + x -5)*(x^5 -9*x^3 -2*x^2 + 16*x + 8)*(x^5 + 3*x^4 -3*x^3 -11*x^2 + x + 5)*(x^2 -3*x + 1)*(x^2 + 3*x + 1)^2*(x^3 -4*x -1)^2*(x^2 + x -1)^3*(x^2 -x -1)^3*(x^5 -9*x^3 + 2*x^2 + 16*x -8)^3;
T[531,3]=(x^10 + 2*x^9 + 7*x^8 + 13*x^7 + 31*x^6 + 41*x^5 + 93*x^4 + 117*x^3 + 189*x^2 + 162*x + 243)*(x -1)^4*(x + 1)^5*(x )^38;
T[531,5]=(x^3 -2*x^2 -5*x + 2)*(x^5 + 8*x^4 + 16*x^3 -8*x^2 -29*x + 8)*(x^5 -8*x^4 + 16*x^3 + 8*x^2 -29*x -8)*(x^5 + 2*x^4 -14*x^3 -23*x^2 + 19*x -1)*(x -3)^2*(x + 1)^2*(x^3 + 2*x^2 -5*x -2)^2*(x^2 -5)^3*(x^5 -2*x^4 -14*x^3 + 23*x^2 + 19*x + 1)^3*(x -1)^4*(x + 3)^4;

T[532,2]=(x^4 + x^3 + x^2 + 2*x + 4)*(x^4 -x^3 + 3*x^2 -2*x + 4)*(x^4 + 3*x^3 + 5*x^2 + 6*x + 4)*(x^6 -2*x^5 + 2*x^4 -x^3 + 4*x^2 -8*x + 8)*(x^2 + 2)^2*(x -1)^7*(x + 1)^8*(x )^38;
T[532,3]=(x^2 -x -1)*(x^2 + x -5)*(x^3 + x^2 -7*x -8)*(x )*(x -2)^2*(x^2 -x -7)^2*(x^2 -x -3)^2*(x^3 + x^2 -7*x + 4)^2*(x^2 + 3*x -1)^3*(x^3 -3*x^2 -x + 4)^3*(x -1)^4*(x + 1)^4*(x^2 + 3*x + 1)^4*(x^2 -3*x + 1)^5*(x + 2)^10;
T[532,5]=(x + 2)*(x^2 + 4*x -1)*(x^3 -2*x^2 -9*x + 14)*(x^2 -x -3)^2*(x^2 -x -11)^2*(x^2 + x -7)^2*(x^3 -5*x^2 + 3*x + 2)^2*(x^2 -5)^3*(x^3 + 2*x^2 -5*x -2)^3*(x + 4)^4*(x + 1)^4*(x -1)^6*(x + 3)^6*(x -3)^8*(x )^8;

T[533,2]=(x^2 -2*x -1)*(x^13 -21*x^11 + 166*x^9 + x^8 -613*x^7 -16*x^6 + 1074*x^5 + 72*x^4 -822*x^3 -76*x^2 + 215*x + 27)*(x^7 + 2*x^6 -6*x^5 -12*x^4 + 9*x^3 + 19*x^2 -x -5)*(x^11 + 2*x^10 -14*x^9 -26*x^8 + 64*x^7 + 103*x^6 -117*x^5 -149*x^4 + 65*x^3 + 71*x^2 + 5*x -1)*(x^8 -x^7 -10*x^6 + 8*x^5 + 31*x^4 -22*x^3 -28*x^2 + 22*x -3)*(x^3 + x^2 -5*x -1)^2;
T[533,3]=(x^2 -2*x -1)*(x^7 + 8*x^6 + 19*x^5 + 2*x^4 -45*x^3 -50*x^2 -17*x -1)*(x^11 + 8*x^10 + 7*x^9 -86*x^8 -189*x^7 + 214*x^6 + 773*x^5 + 113*x^4 -724*x^3 -400*x^2 -58*x -2)*(x^8 -4*x^7 -11*x^6 + 52*x^5 + 31*x^4 -220*x^3 + 27*x^2 + 299*x -162)*(x^13 -10*x^12 + 24*x^11 + 62*x^10 -330*x^9 + 154*x^8 + 1082*x^7 -1389*x^6 -889*x^5 + 2087*x^4 -332*x^3 -634*x^2 + 170*x -2)*(x^3 -4*x + 2)^2;
T[533,5]=(x^2 -8)*(x^7 + 2*x^6 -17*x^5 -34*x^4 + 63*x^3 + 150*x^2 + 19*x -59)*(x^11 + 4*x^10 -23*x^9 -96*x^8 + 121*x^7 + 664*x^6 + 243*x^5 -1291*x^4 -1888*x^3 -1084*x^2 -284*x -28)*(x^8 -4*x^7 -13*x^6 + 68*x^5 + x^4 -236*x^3 + 83*x^2 + 237*x -14)*(x^13 -39*x^11 + 12*x^10 + 539*x^9 -356*x^8 -3093*x^7 + 3139*x^6 + 6168*x^5 -8492*x^4 -2420*x^3 + 7004*x^2 -2560*x + 96)*(x^3 + 2*x^2 -4*x -4)^2;

T[534,2]=(x^6 + 3*x^4 + x^3 + 6*x^2 + 8)*(x^8 -x^7 + x^6 + 3*x^4 + 4*x^2 -8*x + 16)*(x^6 -2*x^5 + 3*x^4 -3*x^3 + 6*x^2 -8*x + 8)*(x^6 + 4*x^5 + 9*x^4 + 15*x^3 + 18*x^2 + 16*x + 8)*(x^2 -x + 2)^2*(x^2 + x + 2)^2*(x^10 + x^9 -2*x^7 + x^6 + x^5 + 2*x^4 -8*x^3 + 16*x + 32)^2*(x^2 + 2)^2*(x + 1)^14*(x -1)^15;
T[534,3]=(x^2 -x + 3)*(x^4 + 2*x^3 + 5*x^2 + 6*x + 9)*(x^6 -x^5 + x^4 -2*x^3 + 3*x^2 -9*x + 27)*(x^2 + x + 3)^2*(x^10 + 3*x^9 + 11*x^8 + 20*x^7 + 45*x^6 + 65*x^5 + 135*x^4 + 180*x^3 + 297*x^2 + 243*x + 243)^2*(x^2 -2*x + 3)^3*(x -1)^22*(x + 1)^23;
T[534,5]=(x^2 -3*x -1)*(x^2 -x -1)*(x^4 -x^3 -13*x^2 + 16*x -4)*(x^4 -3*x^3 -13*x^2 + 32*x + 12)*(x -2)^2*(x -3)^2*(x -4)^2*(x^3 -5*x^2 + 4*x + 5)^2*(x^3 + 3*x^2 -6*x + 1)^2*(x^3 + x^2 -8*x -4)^2*(x^3 + 7*x^2 + 14*x + 7)^2*(x^2 + 2*x -7)^2*(x^4 -3*x^3 -6*x^2 + 19*x -2)^2*(x )^2*(x + 1)^4*(x^5 + x^4 -14*x^3 -14*x^2 + 29*x + 13)^4*(x + 2)^7;

T[535,2]=(x^3 + 2*x^2 -x -1)*(x^8 + 4*x^7 -4*x^6 -27*x^5 -3*x^4 + 49*x^3 + 14*x^2 -24*x -8)*(x^9 -5*x^8 + 31*x^6 -29*x^5 -47*x^4 + 59*x^3 + 2*x^2 -8*x -1)*(x^15 -4*x^14 -18*x^13 + 85*x^12 + 103*x^11 -685*x^10 -108*x^9 + 2595*x^8 -846*x^7 -4594*x^6 + 2565*x^5 + 3187*x^4 -1951*x^3 -470*x^2 + 136*x + 24)*(x^2 + x -1)^2*(x^7 + x^6 -10*x^5 -7*x^4 + 29*x^3 + 12*x^2 -20*x -8)^2;
T[535,3]=(x^8 + 2*x^7 -10*x^6 -17*x^5 + 31*x^4 + 37*x^3 -36*x^2 -20*x + 8)*(x^9 -2*x^8 -20*x^7 + 36*x^6 + 124*x^5 -168*x^4 -296*x^3 + 208*x^2 + 192*x -64)*(x^15 -38*x^13 + 7*x^12 + 565*x^11 -209*x^10 -4158*x^9 + 2268*x^8 + 15708*x^7 -11036*x^6 -28200*x^5 + 23544*x^4 + 18192*x^3 -16512*x^2 -1472*x + 1280)*(x^2 + 3*x + 1)^2*(x^7 -3*x^6 -9*x^5 + 29*x^4 + 14*x^3 -69*x^2 + 12*x + 29)^2*(x )^3;
T[535,5]=(x^14 -5*x^13 + 26*x^12 -86*x^11 + 272*x^10 -747*x^9 + 1897*x^8 -4484*x^7 + 9485*x^6 -18675*x^5 + 34000*x^4 -53750*x^3 + 81250*x^2 -78125*x + 78125)*(x^4 + 3*x^3 + 11*x^2 + 15*x + 25)*(x + 1)^17*(x -1)^18;

T[536,2]=(x^2 -2*x + 2)*(x^4 + x^3 + 3*x^2 + 2*x + 4)*(x^4 + 3*x^3 + 5*x^2 + 6*x + 4)*(x -1)^3*(x + 1)^3*(x )^49;
T[536,3]=(x^2 + x -1)*(x^3 -3*x^2 -7*x + 20)*(x^3 + 3*x^2 -x -2)*(x^4 + 3*x^3 -2*x^2 -7*x -2)*(x^5 -4*x^4 -2*x^3 + 16*x^2 -x -15)*(x -2)^2*(x^2 -x -5)^2*(x^3 -x^2 -8*x + 11)^3*(x^3 -3*x^2 + 1)^3*(x + 2)^4*(x^2 -x -1)^4*(x^2 + 3*x + 1)^6;
T[536,5]=(x^3 + 2*x^2 -5*x -2)*(x^3 -2*x^2 -9*x + 14)*(x^4 + x^3 -16*x^2 -7*x + 58)*(x^5 -x^4 -15*x^3 + 16*x^2 + 16*x + 3)*(x^2 -5)^2*(x^3 + 3*x^2 -6*x + 1)^3*(x^3 -3*x^2 -2*x + 3)^3*(x^2 -4*x -1)^4*(x + 1)^6*(x -2)^6*(x + 3)^8;

T[537,2]=(x + 2)*(x^2 -x -4)*(x^6 + 2*x^5 -6*x^4 -10*x^3 + 8*x^2 + 8*x -4)*(x^8 -2*x^7 -13*x^6 + 22*x^5 + 54*x^4 -66*x^3 -72*x^2 + 32*x + 12)*(x -1)^2*(x^3 + 2*x^2 -2*x -2)^2*(x^3 + x^2 -2*x -1)^2*(x^11 + 3*x^10 -14*x^9 -45*x^8 + 59*x^7 + 225*x^6 -58*x^5 -427*x^4 -76*x^3 + 240*x^2 + 56*x -16)^2*(x )^2*(x -2)^4;
T[537,3]=(x^2 + 3)*(x^6 + 2*x^5 + 8*x^4 + 11*x^3 + 24*x^2 + 18*x + 27)*(x^22 + 8*x^20 + 5*x^19 + 39*x^18 + 22*x^17 + 173*x^16 + 85*x^15 + 607*x^14 + 398*x^13 + 2075*x^12 + 1227*x^11 + 6225*x^10 + 3582*x^9 + 16389*x^8 + 6885*x^7 + 42039*x^6 + 16038*x^5 + 85293*x^4 + 32805*x^3 + 157464*x^2 + 177147)*(x -1)^14*(x + 1)^15;
T[537,5]=(x -4)*(x + 3)*(x^2 -x -4)*(x^8 + 6*x^7 -15*x^6 -114*x^5 + 79*x^4 + 646*x^3 -401*x^2 -1050*x + 800)*(x^6 -4*x^5 -7*x^4 + 28*x^3 + 7*x^2 -8*x -1)*(x )*(x -3)^2*(x^3 + 5*x^2 + 3*x -5)^2*(x^3 + 4*x^2 + 3*x -1)^2*(x^11 -3*x^10 -28*x^9 + 65*x^8 + 310*x^7 -499*x^6 -1680*x^5 + 1613*x^4 + 4325*x^3 -1977*x^2 -4019*x + 663)^2*(x -1)^4;

T[538,2]=(x^2 + 2)*(x^10 + x^9 + 5*x^8 + 4*x^7 + 15*x^6 + 11*x^5 + 30*x^4 + 16*x^3 + 40*x^2 + 16*x + 32)*(x^32 -x^31 + 4*x^30 -3*x^29 + 10*x^28 -x^27 + 21*x^26 -7*x^25 + 57*x^24 -41*x^23 + 150*x^22 -93*x^21 + 284*x^20 -211*x^19 + 573*x^18 -513*x^17 + 1344*x^16 -1026*x^15 + 2292*x^14 -1688*x^13 + 4544*x^12 -2976*x^11 + 9600*x^10 -5248*x^9 + 14592*x^8 -3584*x^7 + 21504*x^6 -2048*x^5 + 40960*x^4 -24576*x^3 + 65536*x^2 -32768*x + 65536)*(x + 1)^11*(x -1)^11;
T[538,3]=(x^2 -x -3)*(x^4 -3*x^3 -3*x^2 + 10*x -4)*(x^7 -x^6 -16*x^5 + 19*x^4 + 63*x^3 -87*x^2 -10*x + 12)*(x^2 + x -1)*(x^7 + 4*x^6 -6*x^5 -30*x^4 + 31*x^2 + 2*x -3)*(x^5 + 5*x^4 + 3*x^3 -15*x^2 -16*x + 3)^2*(x^16 -5*x^15 -22*x^14 + 138*x^13 + 139*x^12 -1450*x^11 + 41*x^10 + 7440*x^9 -3354*x^8 -20186*x^7 + 12462*x^6 + 28989*x^5 -18771*x^4 -19974*x^3 + 12032*x^2 + 4633*x -2654)^2*(x )^2;
T[538,5]=(x^2 -x -3)*(x^2 + 5*x + 5)*(x^4 -5*x^3 + 3*x^2 + 6*x -4)*(x^7 -7*x^6 -4*x^5 + 109*x^4 -161*x^3 -109*x^2 + 130*x -4)*(x^7 + 6*x^6 -4*x^5 -82*x^4 -102*x^3 + 229*x^2 + 520*x + 233)*(x -1)^2*(x^5 + 4*x^4 -x^3 -16*x^2 -14*x -1)^2*(x^16 + x^15 -46*x^14 -32*x^13 + 861*x^12 + 316*x^11 -8506*x^10 -222*x^9 + 47729*x^8 -14650*x^7 -149888*x^6 + 92967*x^5 + 233992*x^4 -219530*x^3 -113145*x^2 + 177883*x -48947)^2;

T[539,2]=(x + 1)^2*(x^2 -x -4)^2*(x^3 -3*x -1)^2*(x^3 -5*x + 3)^2*(x^5 -x^4 -9*x^3 + 9*x^2 + 12*x -8)^2*(x^2 -5)^3*(x + 2)^4*(x -1)^5*(x )^6;
T[539,3]=(x + 2)*(x -3)*(x^2 + 2*x -4)*(x^3 + 3*x^2 -1)*(x^3 -x^2 -4*x + 3)*(x^3 -3*x^2 + 1)*(x^3 + x^2 -4*x -3)*(x^2 -2)*(x^4 -7*x^2 + 8)*(x^10 -26*x^8 + 245*x^6 -1038*x^4 + 1884*x^2 -968)*(x + 3)^2*(x -2)^2*(x^2 -2*x -4)^2*(x )^2*(x -1)^3*(x + 1)^4;
T[539,5]=(x + 3)*(x^2 -2)*(x^3 + 6*x^2 + 9*x + 1)*(x^3 -2*x^2 -7*x + 5)*(x^3 -6*x^2 + 9*x -1)*(x^3 + 2*x^2 -7*x -5)*(x^4 -23*x^2 + 128)*(x^10 -34*x^8 + 365*x^6 -1214*x^4 + 204*x^2 -8)*(x -3)^2*(x )^2*(x + 1)^3*(x -2)^3*(x -1)^4*(x + 2)^6;

T[540,2]=(x^2 + 2*x + 2)*(x^2 -2*x + 2)*(x^4 + x^3 + x^2 + 2*x + 4)*(x^4 -x^3 + x^2 -2*x + 4)*(x^2 -x + 2)^2*(x^2 + 2)^2*(x^2 + x + 2)^3*(x -1)^8*(x + 1)^9*(x )^48;
T[540,3]=(x^2 + 2*x + 3)*(x -1)^2*(x + 1)^3*(x )^84;
T[540,5]=(x^2 -3*x + 5)^2*(x^2 + 3*x + 5)^2*(x^2 + 5)^6*(x -1)^35*(x + 1)^36;

T[541,2]=(x^24 -3*x^23 -31*x^22 + 97*x^21 + 402*x^20 -1333*x^19 -2825*x^18 + 10187*x^17 + 11576*x^16 -47520*x^15 -27272*x^14 + 139733*x^13 + 31933*x^12 -258608*x^11 -4817*x^10 + 293651*x^9 -26127*x^8 -196645*x^7 + 21140*x^6 + 74903*x^5 -4562*x^4 -14861*x^3 -379*x^2 + 1179*x + 153)*(x^20 + 5*x^19 -15*x^18 -105*x^17 + 53*x^16 + 888*x^15 + 248*x^14 -3950*x^13 -2525*x^12 + 10014*x^11 + 8292*x^10 -14513*x^9 -13426*x^8 + 11322*x^7 + 10779*x^6 -4166*x^5 -3649*x^4 + 669*x^3 + 389*x^2 -45*x -9);
T[541,3]=(x^24 -12*x^23 + 23*x^22 + 264*x^21 -1202*x^20 -1359*x^19 + 16144*x^18 -11151*x^17 -101433*x^16 + 169382*x^15 + 316059*x^14 -879646*x^13 -352728*x^12 + 2350767*x^11 -566655*x^10 -3332320*x^9 + 2073100*x^8 + 2202693*x^7 -2071804*x^6 -371069*x^5 + 648245*x^4 -62600*x^3 -27760*x^2 + 2960*x -16)*(x^20 + 12*x^19 + 35*x^18 -120*x^17 -818*x^16 -503*x^15 + 5196*x^14 + 9925*x^13 -10141*x^12 -40746*x^11 -9933*x^10 + 61918*x^9 + 46584*x^8 -29769*x^7 -31815*x^6 + 7628*x^5 + 8524*x^4 -1815*x^3 -808*x^2 + 263*x -19);
T[541,5]=(x^24 -13*x^23 + 16*x^22 + 471*x^21 -1896*x^20 -5343*x^19 + 39712*x^18 + 8885*x^17 -408527*x^16 + 324485*x^15 + 2485859*x^14 -3477513*x^13 -9557728*x^12 + 17929032*x^11 + 23513024*x^10 -55616625*x^9 -35612272*x^8 + 108441058*x^7 + 28373219*x^6 -129873224*x^5 -2688364*x^4 + 86826119*x^3 -13479964*x^2 -24511980*x + 7776873)*(x^20 + 17*x^19 + 83*x^18 -160*x^17 -2704*x^16 -5758*x^15 + 21317*x^14 + 106677*x^13 + 35612*x^12 -597190*x^11 -1068980*x^10 + 739500*x^9 + 3863028*x^8 + 2706594*x^7 -3110844*x^6 -5424167*x^5 -1630358*x^4 + 1640521*x^3 + 1393701*x^2 + 366210*x + 31369);

T[542,2]=(x^12 + 4*x^11 + 13*x^10 + 31*x^9 + 64*x^8 + 111*x^7 + 169*x^6 + 222*x^5 + 256*x^4 + 248*x^3 + 208*x^2 + 128*x + 64)*(x^32 -5*x^31 + 20*x^30 -59*x^29 + 155*x^28 -354*x^27 + 757*x^26 -1495*x^25 + 2837*x^24 -5091*x^23 + 8853*x^22 -14720*x^21 + 23854*x^20 -37223*x^19 + 56800*x^18 -83670*x^17 + 120475*x^16 -167340*x^15 + 227200*x^14 -297784*x^13 + 381664*x^12 -471040*x^11 + 566592*x^10 -651648*x^9 + 726272*x^8 -765440*x^7 + 775168*x^6 -724992*x^5 + 634880*x^4 -483328*x^3 + 327680*x^2 -163840*x + 65536)*(x -1)^11*(x + 1)^12;
T[542,3]=(x -2)*(x + 1)*(x^3 -x^2 -5*x -1)*(x^6 -16*x^4 + 2*x^3 + 69*x^2 -8*x -82)*(x^3 -3*x^2 -x + 5)*(x^3 + x^2 -3*x -1)*(x^6 + x^5 -5*x^4 -4*x^3 + 5*x^2 + 2*x -1)^2*(x^16 -x^15 -41*x^14 + 44*x^13 + 663*x^12 -746*x^11 -5343*x^10 + 6132*x^9 + 22208*x^8 -25016*x^7 -43952*x^6 + 44896*x^5 + 33280*x^4 -22016*x^3 -13056*x^2 + 1536*x + 1024)^2*(x^2 + 2*x -1)^3;
T[542,5]=(x -2)*(x^2 + 4*x + 2)*(x^3 -4*x^2 -4*x + 20)*(x^3 -4*x -2)*(x^4 + 4*x^3 -2*x^2 -8*x + 4)*(x^6 -2*x^5 -32*x^4 + 80*x^3 + 232*x^2 -768*x + 416)*(x^3 + 2*x^2 -4*x -6)*(x )*(x^6 + 8*x^5 + 20*x^4 + 16*x^3 -2*x^2 -5*x -1)^2*(x^16 -10*x^15 + x^14 + 274*x^13 -606*x^12 -2545*x^11 + 8910*x^10 + 7903*x^9 -50940*x^8 + 8944*x^7 + 123487*x^6 -78423*x^5 -108147*x^4 + 82115*x^3 + 37001*x^2 -22695*x -4725)^2;

T[543,2]=(x^3 + 2*x^2 -x -1)*(x^5 + x^4 -6*x^3 -8*x^2 + 1)*(x^7 + 4*x^6 -3*x^5 -23*x^4 -5*x^3 + 32*x^2 + 15*x -1)*(x^8 -3*x^7 -12*x^6 + 43*x^5 + 24*x^4 -169*x^3 + 84*x^2 + 113*x -73)*(x^8 -3*x^7 -6*x^6 + 21*x^5 + 5*x^4 -35*x^3 + 10*x^2 + 4*x -1)*(x^5 + 3*x^4 -x^3 -7*x^2 -2*x + 1)^2*(x^9 -3*x^8 -9*x^7 + 29*x^6 + 23*x^5 -84*x^4 -23*x^3 + 89*x^2 + 8*x -27)^2;
T[543,3]=(x^18 -3*x^17 + 12*x^16 -26*x^15 + 72*x^14 -141*x^13 + 346*x^12 -610*x^11 + 1269*x^10 -2024*x^9 + 3807*x^8 -5490*x^7 + 9342*x^6 -11421*x^5 + 17496*x^4 -18954*x^3 + 26244*x^2 -19683*x + 19683)*(x^10 + 5*x^9 + 20*x^8 + 54*x^7 + 126*x^6 + 233*x^5 + 378*x^4 + 486*x^3 + 540*x^2 + 405*x + 243)*(x + 1)^15*(x -1)^16;
T[543,5]=(x^3 + x^2 -2*x -1)*(x^5 -3*x^4 -14*x^3 + 43*x^2 -12*x -16)*(x^7 + 3*x^6 -11*x^5 -30*x^4 + 17*x^3 + 28*x^2 -6*x -7)*(x^8 + 2*x^7 -25*x^6 -30*x^5 + 193*x^4 + 40*x^3 -524*x^2 + 304*x + 64)*(x^8 -5*x^7 -14*x^6 + 97*x^5 -30*x^4 -336*x^3 + 192*x^2 + 320*x -128)*(x^5 + 5*x^4 -5*x^3 -55*x^2 -88*x -43)^2*(x^9 -x^8 -24*x^7 + 28*x^6 + 170*x^5 -181*x^4 -441*x^3 + 340*x^2 + 326*x -3)^2;

T[544,2]=(x -1)*(x^2 + x + 2)*(x )^62;
T[544,3]=(x^2 -2)*(x^2 -10)*(x^3 + 2*x^2 -4*x -4)*(x^3 -2*x^2 -4*x + 4)*(x^2 -2*x -4)^2*(x^2 + 2*x -2)^2*(x^2 + 2*x -4)^3*(x^2 -2*x -2)^4*(x -2)^9*(x + 2)^12*(x )^12;
T[544,5]=(x -4)^2*(x^3 + 2*x^2 -12*x -8)^2*(x^2 -12)^6*(x -2)^12*(x )^14*(x + 2)^19;

T[545,2]=(x^2 -2*x -1)*(x^5 -x^4 -4*x^3 + 3*x^2 + 3*x -1)*(x^5 + 3*x^4 -2*x^3 -11*x^2 -7*x -1)*(x^13 -3*x^12 -18*x^11 + 57*x^10 + 113*x^9 -391*x^8 -300*x^7 + 1206*x^6 + 323*x^5 -1685*x^4 -114*x^3 + 921*x^2 -5*x -89)*(x^11 + 3*x^10 -17*x^9 -52*x^8 + 98*x^7 + 305*x^6 -228*x^5 -681*x^4 + 257*x^3 + 460*x^2 -215*x -3)*(x^3 + 2*x^2 -x -1)^2*(x^4 + x^3 -5*x^2 -4*x + 3)^2*(x -1)^3;
T[545,3]=(x^2 + 4*x + 2)*(x^5 -x^4 -4*x^3 + 3*x^2 + 3*x -1)*(x^5 + 7*x^4 + 12*x^3 -11*x^2 -39*x -17)*(x^13 -9*x^12 + 12*x^11 + 109*x^10 -339*x^9 -261*x^8 + 1992*x^7 -988*x^6 -4096*x^5 + 4120*x^4 + 2588*x^3 -3680*x^2 -180*x + 652)*(x^11 -x^10 -22*x^9 + 21*x^8 + 171*x^7 -159*x^6 -558*x^5 + 522*x^4 + 672*x^3 -616*x^2 -100*x + 36)*(x^3 + 4*x^2 + 3*x -1)^2*(x^4 -4*x^3 -x^2 + 15*x -8)^2*(x )^3;
T[545,5]=(x^2 -3*x + 5)*(x^6 + 6*x^5 + 20*x^4 + 47*x^3 + 100*x^2 + 150*x + 125)*(x^8 -x^7 + 15*x^6 -11*x^5 + 103*x^4 -55*x^3 + 375*x^2 -125*x + 625)*(x + 1)^18*(x -1)^19;

T[546,2]=(x^2 -2*x + 2)*(x^6 + 2*x^5 + 3*x^4 + 6*x^3 + 6*x^2 + 8*x + 8)*(x^8 -x^7 + x^6 -x^5 + 2*x^4 -2*x^3 + 4*x^2 -8*x + 16)*(x^4 -2*x^3 + 3*x^2 -4*x + 4)*(x^2 + x + 2)^2*(x^2 + 2)^2*(x^2 -x + 2)^2*(x^4 + 2*x^3 + 3*x^2 + 4*x + 4)^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^2 + 2*x + 2)^3*(x -1)^19*(x + 1)^20;
T[546,3]=(x^6 + 2*x^5 + 3*x^4 + 4*x^3 + 9*x^2 + 18*x + 27)^2*(x^2 -3*x + 3)^2*(x^2 + 3*x + 3)^2*(x^4 + 4*x^2 + 9)^2*(x^2 + 3)^3*(x^2 + 2*x + 3)^4*(x^2 -x + 3)^4*(x + 1)^26*(x -1)^29;
T[546,5]=(x^2 + x -10)*(x^2 -3*x -2)*(x^2 + x -14)*(x -4)^2*(x + 4)^2*(x -3)^2*(x^3 + 3*x^2 -4*x -8)^2*(x^4 + 3*x^3 -10*x^2 -20*x + 24)^2*(x -1)^3*(x^2 -6*x + 7)^4*(x^2 -8)^4*(x^3 -2*x^2 -3*x + 2)^4*(x + 2)^7*(x + 1)^8*(x -2)^9*(x + 3)^12*(x )^12;

T[547,2]=(x^2 + 2*x -1)*(x^18 + 4*x^17 -18*x^16 -84*x^15 + 116*x^14 + 708*x^13 -282*x^12 -3104*x^11 -137*x^10 + 7703*x^9 + 2068*x^8 -11068*x^7 -4274*x^6 + 9021*x^5 + 4048*x^4 -3834*x^3 -1851*x^2 + 654*x + 328)*(x^25 -4*x^24 -30*x^23 + 134*x^22 + 365*x^21 -1926*x^20 -2226*x^19 + 15560*x^18 + 6033*x^17 -77601*x^16 + 4782*x^15 + 246402*x^14 -87059*x^13 -493902*x^12 + 275826*x^11 + 594258*x^10 -427359*x^9 -378617*x^8 + 334926*x^7 + 87006*x^6 -111411*x^5 + 8810*x^4 + 6600*x^3 -872*x^2 -68*x + 8);
T[547,3]=(x^2 -2)*(x^18 + 10*x^17 + 16*x^16 -141*x^15 -499*x^14 + 485*x^13 + 3908*x^12 + 1561*x^11 -12985*x^10 -13361*x^9 + 17477*x^8 + 27279*x^7 -4923*x^6 -17035*x^5 -529*x^4 + 4092*x^3 + 221*x^2 -266*x -32)*(x^25 -8*x^24 -20*x^23 + 311*x^22 -159*x^21 -4979*x^20 + 8554*x^19 + 41509*x^18 -110927*x^17 -181277*x^16 + 746037*x^15 + 285827*x^14 -2917461*x^13 + 845121*x^12 + 6693937*x^11 -4939122*x^10 -8518495*x^9 + 9727960*x^8 + 5007908*x^7 -9161144*x^6 -323960*x^5 + 4025440*x^4 -733752*x^3 -682336*x^2 + 165984*x + 25088);
T[547,5]=(x^2 -2)*(x^18 + 27*x^17 + 304*x^16 + 1771*x^15 + 4872*x^14 -1378*x^13 -53562*x^12 -157710*x^11 -138777*x^10 + 238435*x^9 + 649756*x^8 + 308466*x^7 -551465*x^6 -657632*x^5 + 22692*x^4 + 316340*x^3 + 88161*x^2 -42046*x -15872)*(x^25 -29*x^24 + 340*x^23 -1865*x^22 + 2290*x^21 + 29052*x^20 -157882*x^19 + 151052*x^18 + 1248513*x^17 -4381041*x^16 + 564172*x^15 + 24220956*x^14 -42611521*x^13 -31283226*x^12 + 174636898*x^11 -123240086*x^10 -225721819*x^9 + 401447188*x^8 -46423448*x^7 -329851888*x^6 + 207596896*x^5 + 74345104*x^4 -101463976*x^3 + 10062688*x^2 + 14644416*x -3804416);

T[548,2]=(x^14 + 4*x^12 + 12*x^10 + 3*x^9 + 29*x^8 + 5*x^7 + 58*x^6 + 12*x^5 + 96*x^4 + 128*x^2 + 128)*(x^8 + 3*x^7 + 8*x^6 + 14*x^5 + 23*x^4 + 28*x^3 + 32*x^2 + 24*x + 16)*(x + 1)^5*(x -1)^6*(x )^34;
T[548,3]=(x^4 + 3*x^3 -2*x^2 -4*x -1)*(x^8 -3*x^7 -14*x^6 + 42*x^5 + 55*x^4 -170*x^3 -46*x^2 + 198*x -54)*(x + 2)^2*(x^3 -2*x^2 -4*x + 4)^2*(x^5 -2*x^4 -10*x^3 + 20*x^2 -8)^2*(x^4 + 5*x^3 + 4*x^2 -10*x -11)^3*(x^7 -3*x^6 -8*x^5 + 26*x^4 + 11*x^3 -58*x^2 + 16*x + 14)^3*(x )^4;
T[548,5]=(x^4 + 4*x^3 + 2*x^2 -5*x -3)*(x^8 -2*x^7 -28*x^6 + 61*x^5 + 213*x^4 -484*x^3 -312*x^2 + 624*x + 144)*(x^3 -5*x^2 + 5*x + 1)^2*(x^5 -5*x^4 -x^3 + 19*x^2 -16)^2*(x )^2*(x^4 + 2*x^3 -12*x^2 -23*x + 1)^3*(x^7 + 2*x^6 -18*x^5 -21*x^4 + 103*x^3 + 26*x^2 -188*x + 88)^3*(x + 3)^4;

T[549,2]=(x^2 -2*x -1)*(x^2 -3)*(x^6 -11*x^4 -2*x^3 + 31*x^2 + 10*x -17)*(x^6 -13*x^4 + 41*x^2 -1)*(x -1)^2*(x^2 + 2*x -1)^2*(x^3 + x^2 -3*x -1)^2*(x^6 -11*x^4 + 2*x^3 + 31*x^2 -10*x -17)^2*(x + 1)^4*(x^3 -x^2 -3*x + 1)^5;
T[549,3]=(x^2 + 2*x + 3)*(x^6 -2*x^5 + 5*x^4 -8*x^3 + 15*x^2 -18*x + 27)*(x + 1)^5*(x -1)^6*(x )^40;
T[549,5]=(x -3)*(x^2 -3)*(x^6 + 2*x^5 -23*x^4 -28*x^3 + 144*x^2 + 80*x -144)*(x^3 -x^2 -9*x + 13)*(x^6 -19*x^4 + 80*x^2 -64)*(x -1)^2*(x^6 -2*x^5 -23*x^4 + 28*x^3 + 144*x^2 -80*x -144)^2*(x )^2*(x + 2)^3*(x + 3)^3*(x^3 + x^2 -9*x -13)^3*(x + 1)^4*(x -2)^6;

T[550,2]=(x^2 + x + 2)*(x^2 -2*x + 2)*(x^4 + x^3 + x^2 + 2*x + 4)*(x^4 -x^3 + x^2 -2*x + 4)*(x^4 + x^3 + 3*x^2 + 2*x + 4)*(x^4 -x^3 + 3*x^2 -2*x + 4)*(x^4 + 2*x^3 + 3*x^2 + 4*x + 4)*(x^8 + x^6 + 4*x^2 + 16)*(x^2 -x + 2)^2*(x^4 -2*x^3 + 3*x^2 -4*x + 4)^2*(x^2 + 2*x + 2)^3*(x -1)^14*(x + 1)^15;
T[550,3]=(x -3)*(x + 3)*(x^2 -x -8)*(x^2 + x -8)^2*(x^2 -x -3)^2*(x^2 + 3*x + 1)^2*(x^2 + x -3)^2*(x^2 -3*x + 1)^2*(x^4 -7*x^2 + 4)^2*(x -2)^3*(x + 2)^3*(x^2 -8)^6*(x )^6*(x -1)^10*(x + 1)^13;
T[550,5]=(x^2 -x + 5)^2*(x -1)^5*(x + 1)^6*(x )^64;

T[551,2]=(x -2)*(x + 2)*(x -1)*(x^16 -3*x^15 -22*x^14 + 68*x^13 + 190*x^12 -608*x^11 -832*x^10 + 2760*x^9 + 1972*x^8 -6728*x^7 -2502*x^6 + 8420*x^5 + 1642*x^4 -4511*x^3 -577*x^2 + 572*x -18)*(x^3 -4*x + 2)*(x^18 -2*x^17 -29*x^16 + 56*x^15 + 342*x^14 -632*x^13 -2112*x^12 + 3692*x^11 + 7332*x^10 -11948*x^9 -14282*x^8 + 21322*x^7 + 14618*x^6 -19599*x^5 -6476*x^4 + 7481*x^3 + 560*x^2 -346*x + 6)*(x^2 + 2*x -1)^2*(x )^2*(x + 1)^3;
T[551,3]=(x^16 -4*x^15 -28*x^14 + 120*x^13 + 284*x^12 -1372*x^11 -1215*x^10 + 7450*x^9 + 1666*x^8 -19442*x^7 + 1155*x^6 + 21898*x^5 -1672*x^4 -8702*x^3 + 5*x^2 + 704*x -44)*(x^2 -5)*(x^18 + 2*x^17 -42*x^16 -74*x^15 + 738*x^14 + 1102*x^13 -7037*x^12 -8474*x^11 + 39398*x^10 + 36022*x^9 -130265*x^8 -85036*x^7 + 240754*x^6 + 109972*x^5 -215593*x^4 -80360*x^3 + 66816*x^2 + 26928*x + 1472)*(x -1)^2*(x^2 -2*x -1)^2*(x )^3*(x + 2)^4;
T[551,5]=(x^3 -x^2 -9*x + 13)*(x^16 + 2*x^15 -51*x^14 -86*x^13 + 1000*x^12 + 1272*x^11 -9667*x^10 -7454*x^9 + 48303*x^8 + 11318*x^7 -114963*x^6 + 30334*x^5 + 93501*x^4 -67948*x^3 + 12083*x^2 + 290*x -15)*(x^18 -7*x^17 -47*x^16 + 417*x^15 + 656*x^14 -9996*x^13 + 1989*x^12 + 121685*x^11 -144781*x^10 -764253*x^9 + 1543373*x^8 + 2012045*x^7 -7000435*x^6 + 940819*x^5 + 12069681*x^4 -11086865*x^3 -951023*x^2 + 4806227*x -1538766)*(x -3)^2*(x + 1)^10;

T[552,2]=(x^2 -x + 2)*(x^4 -x^2 + 4)*(x^4 + x^3 + 3*x^2 + 2*x + 4)^2*(x -1)^3*(x + 1)^4*(x )^68;
T[552,3]=(x^2 -3*x + 3)*(x^4 + x^3 + 2*x^2 + 3*x + 9)*(x^2 + 3*x + 3)^2*(x^2 + x + 3)^2*(x^2 -x + 3)^2*(x^2 + 3)^4*(x^4 + x^2 + 9)^4*(x -1)^23*(x + 1)^24;
T[552,5]=(x^2 -2*x -4)*(x^3 -16*x + 16)*(x + 4)^2*(x^2 -10)^2*(x^2 -4*x + 2)^2*(x -4)^7*(x -2)^8*(x + 2)^13*(x^2 + 2*x -4)^15*(x )^16;

T[553,2]=(x^8 -3*x^7 -7*x^6 + 24*x^5 + 6*x^4 -40*x^3 + 6*x^2 + 8*x + 1)*(x^11 + 5*x^10 -4*x^9 -49*x^8 -24*x^7 + 154*x^6 + 125*x^5 -183*x^4 -154*x^3 + 67*x^2 + 32*x -11)*(x^13 -7*x^12 + 3*x^11 + 78*x^10 -144*x^9 -249*x^8 + 769*x^7 + 79*x^6 -1451*x^5 + 654*x^4 + 878*x^3 -686*x^2 + 56*x + 27)*(x^7 + 6*x^6 + 7*x^5 -17*x^4 -35*x^3 -3*x^2 + 15*x + 3)*(x + 1)^2*(x^5 -6*x^3 + 8*x -1)^2;
T[553,3]=(x^8 -3*x^7 -7*x^6 + 26*x^5 + 3*x^4 -55*x^3 + 31*x^2 + 9*x -4)*(x^11 + 5*x^10 -11*x^9 -80*x^8 + 3*x^7 + 391*x^6 + 215*x^5 -577*x^4 -324*x^3 + 256*x^2 + 88*x -16)*(x^13 -x^12 -29*x^11 + 26*x^10 + 321*x^9 -231*x^8 -1741*x^7 + 857*x^6 + 4836*x^5 -1136*x^4 -6360*x^3 -176*x^2 + 2944*x + 768)*(x^7 + 3*x^6 -5*x^5 -16*x^4 + 5*x^3 + 23*x^2 + 3*x -5)*(x + 1)^2*(x^5 -x^4 -12*x^3 + 8*x^2 + 24*x -16)^2;
T[553,5]=(x^8 -4*x^7 -9*x^6 + 49*x^5 -11*x^4 -96*x^3 + 14*x^2 + 63*x + 18)*(x^11 + 10*x^10 + 18*x^9 -107*x^8 -365*x^7 + 257*x^6 + 1820*x^5 + 360*x^4 -3191*x^3 -1265*x^2 + 1640*x + 709)*(x^13 -4*x^12 -30*x^11 + 119*x^10 + 299*x^9 -1121*x^8 -1472*x^7 + 4586*x^6 + 3617*x^5 -8619*x^4 -3396*x^3 + 7075*x^2 + 400*x -1500)*(x^7 + 4*x^6 -9*x^5 -57*x^4 -49*x^3 + 78*x^2 + 126*x + 45)*(x + 3)^2*(x^5 -7*x^4 + 9*x^3 + 27*x^2 -65*x + 31)^2;

T[554,2]=(x^2 -x + 2)*(x^6 + x^5 + 3*x^4 + 3*x^3 + 6*x^2 + 4*x + 8)*(x^18 + 6*x^17 + 22*x^16 + 59*x^15 + 131*x^14 + 252*x^13 + 437*x^12 + 694*x^11 + 1038*x^10 + 1487*x^9 + 2076*x^8 + 2776*x^7 + 3496*x^6 + 4032*x^5 + 4192*x^4 + 3776*x^3 + 2816*x^2 + 1536*x + 512)*(x^18 -4*x^17 + 12*x^16 -27*x^15 + 57*x^14 -104*x^13 + 187*x^12 -308*x^11 + 490*x^10 -705*x^9 + 980*x^8 -1232*x^7 + 1496*x^6 -1664*x^5 + 1824*x^4 -1728*x^3 + 1536*x^2 -1024*x + 512)*(x -1)^12*(x + 1)^12;
T[554,3]=(x^3 + 2*x^2 -x -1)*(x^8 -3*x^7 -13*x^6 + 37*x^5 + 54*x^4 -146*x^3 -60*x^2 + 182*x -49)*(x^9 + x^8 -17*x^7 -9*x^6 + 94*x^5 + 12*x^4 -194*x^3 + 46*x^2 + 119*x -54)*(x^4 + 2*x^3 -5*x^2 -7*x -2)*(x + 2)^2*(x^9 + 10*x^8 + 31*x^7 + 10*x^6 -100*x^5 -105*x^4 + 75*x^3 + 92*x^2 + 4*x -5)^2*(x^9 -6*x^8 -x^7 + 50*x^6 -20*x^5 -141*x^4 + 23*x^3 + 120*x^2 + 24*x -1)^2*(x -2)^6;
T[554,5]=(x^3 + 7*x^2 + 14*x + 7)*(x^4 -x^3 -8*x^2 -5*x + 2)*(x^9 -8*x^8 + 3*x^7 + 112*x^6 -197*x^5 -434*x^4 + 1014*x^3 + 519*x^2 -1447*x -66)*(x^8 + 2*x^7 -25*x^6 -32*x^5 + 201*x^4 + 168*x^3 -620*x^2 -285*x + 609)*(x -2)^2*(x^3 -4*x^2 + 4)^2*(x^9 -4*x^8 -15*x^7 + 69*x^6 + 32*x^5 -337*x^4 + 237*x^3 + 330*x^2 -459*x + 145)^2*(x^9 + 12*x^8 + 43*x^7 -13*x^6 -390*x^5 -673*x^4 + 123*x^3 + 1036*x^2 + 635*x + 109)^2;

T[555,2]=(x^2 + x -1)*(x^2 + 3*x + 1)*(x^2 -x -1)*(x^3 -2*x^2 -4*x + 7)*(x^5 + 3*x^4 -4*x^3 -13*x^2 + x + 4)*(x^3 -x^2 -5*x + 4)*(x^2 -x -3)*(x^2 + x -3)*(x + 1)^2*(x -1)^2*(x^3 -3*x^2 -x + 5)^2*(x^4 -6*x^2 + 2*x + 5)^2*(x^5 -8*x^3 + 2*x^2 + 11*x -2)^2*(x^5 -2*x^4 -8*x^3 + 14*x^2 + 11*x -12)^2*(x + 2)^6*(x )^8;
T[555,3]=(x^2 + 2*x + 3)*(x^2 + x + 3)*(x^10 + x^9 + 7*x^8 + 8*x^7 + 22*x^6 + 32*x^5 + 66*x^4 + 72*x^3 + 189*x^2 + 81*x + 243)*(x^10 -3*x^9 + 9*x^8 -16*x^7 + 40*x^6 -64*x^5 + 120*x^4 -144*x^3 + 243*x^2 -243*x + 243)*(x^2 + 3*x + 3)^2*(x^2 -x + 3)^3*(x -1)^19*(x + 1)^20;
T[555,5]=(x^8 + 2*x^7 + 12*x^6 + 30*x^5 + 74*x^4 + 150*x^3 + 300*x^2 + 250*x + 625)*(x^6 -4*x^5 + 11*x^4 -20*x^3 + 55*x^2 -100*x + 125)*(x^2 + 5)^2*(x^2 + 2*x + 5)^2*(x -1)^25*(x + 1)^26;

T[556,2]=(x^2 -x + 2)*(x^6 + 2*x^5 + 5*x^4 + 7*x^3 + 10*x^2 + 8*x + 8)*(x^14 -x^13 + 3*x^12 -4*x^11 + 9*x^10 -6*x^9 + 18*x^8 -16*x^7 + 36*x^6 -24*x^5 + 72*x^4 -64*x^3 + 96*x^2 -64*x + 128)*(x -1)^6*(x + 1)^6*(x )^34;
T[556,3]=(x^3 + 2*x^2 -3*x -3)*(x^7 -4*x^6 -9*x^5 + 43*x^4 + 14*x^3 -120*x^2 + 24*x + 64)*(x )*(x^2 -2)^2*(x^3 -3*x^2 + 3)^2*(x^5 -x^4 -10*x^3 + 11*x^2 + 12*x -2)^2*(x -2)^3*(x^3 + 2*x^2 -x -1)^3*(x^7 + 2*x^6 -15*x^5 -25*x^4 + 56*x^3 + 52*x^2 -56*x -16)^3*(x + 2)^4;
T[556,5]=(x^3 -9*x + 1)*(x^7 + x^6 -24*x^5 -2*x^4 + 161*x^3 -117*x^2 -91*x + 49)*(x -3)^2*(x^2 + 2*x -1)^2*(x^3 -12*x -8)^2*(x^5 + 2*x^4 -9*x^3 -12*x^2 + 20*x + 8)^2*(x^3 + 8*x^2 + 19*x + 13)^3*(x^7 -11*x^6 + 36*x^5 + 2*x^4 -211*x^3 + 319*x^2 -55*x -83)^3*(x + 1)^6;

T[557,2]=(x -1)*(x -2)*(x^18 + 6*x^17 -6*x^16 -98*x^15 -83*x^14 + 588*x^13 + 978*x^12 -1507*x^11 -3913*x^10 + 1062*x^9 + 7268*x^8 + 2007*x^7 -6225*x^6 -3695*x^5 + 2078*x^4 + 1980*x^3 -23*x^2 -339*x -72)*(x^26 -x^25 -40*x^24 + 36*x^23 + 701*x^22 -557*x^21 -7078*x^20 + 4855*x^19 + 45533*x^18 -26248*x^17 -194780*x^16 + 91281*x^15 + 561051*x^14 -204613*x^13 -1077249*x^12 + 286983*x^11 + 1332859*x^10 -233167*x^9 -994145*x^8 + 90493*x^7 + 396290*x^6 -6446*x^5 -68301*x^4 -2616*x^3 + 3093*x^2 + 320*x + 1);
T[557,3]=(x + 1)*(x -2)*(x^18 + 15*x^17 + 75*x^16 + 49*x^15 -814*x^14 -2394*x^13 + 1044*x^12 + 13596*x^11 + 12477*x^10 -25556*x^9 -45888*x^8 + 6698*x^7 + 47848*x^6 + 15237*x^5 -10287*x^4 -2442*x^3 + 395*x^2 + 93*x + 4)*(x^26 -16*x^25 + 73*x^24 + 144*x^23 -2140*x^22 + 3536*x^21 + 19587*x^20 -71418*x^19 -52175*x^18 + 543571*x^17 -309381*x^16 -2168193*x^15 + 2929364*x^14 + 4627520*x^13 -10350762*x^12 -4071610*x^11 + 19645056*x^10 -2652133*x^9 -20674454*x^8 + 9142187*x^7 + 11093092*x^6 -7524689*x^5 -2244755*x^4 + 2413207*x^3 -114917*x^2 -214756*x + 37327);
T[557,5]=(x^26 -4*x^25 -78*x^24 + 330*x^23 + 2574*x^22 -11831*x^21 -46244*x^20 + 241510*x^19 + 476450*x^18 -3087203*x^17 -2525590*x^16 + 25559573*x^15 + 1236433*x^14 -136506775*x^13 + 70273939*x^12 + 449954679*x^11 -442035918*x^10 -811357321*x^9 + 1215128520*x^8 + 520294416*x^7 -1490157376*x^6 + 316025488*x^5 + 533790848*x^4 -242004160*x^3 -36429056*x^2 + 34909184*x -4845568)*(x^18 + 6*x^17 -32*x^16 -254*x^15 + 188*x^14 + 3821*x^13 + 3078*x^12 -23586*x^11 -38270*x^10 + 49953*x^9 + 115450*x^8 -32043*x^7 -118597*x^6 + 6367*x^5 + 32117*x^4 -219*x^3 -1942*x^2 -25*x + 28)*(x )^2;

T[558,2]=(x^4 + x^3 + 3*x^2 + 2*x + 4)*(x^4 -3*x^3 + 5*x^2 -6*x + 4)*(x^6 + 2*x^4 -x^3 + 4*x^2 + 8)*(x^12 + 4*x^8 + 5*x^6 + 16*x^4 + 64)*(x^4 + 3*x^3 + 5*x^2 + 6*x + 4)^2*(x^6 + 2*x^4 + x^3 + 4*x^2 + 8)^2*(x^4 -x^3 + 3*x^2 -2*x + 4)^3*(x -1)^15*(x + 1)^16;
T[558,3]=(x^2 + 3)*(x^4 -2*x^3 + 4*x^2 -6*x + 9)*(x^4 + 2*x^3 + 2*x^2 + 6*x + 9)^2*(x + 1)^7*(x -1)^8*(x )^60;
T[558,5]=(x -2)*(x^2 + 3*x -2)*(x + 3)^2*(x^2 -3*x -2)^2*(x^3 -2*x^2 -5*x + 2)^2*(x^2 -4*x -1)^2*(x^6 -26*x^4 + 181*x^2 -192)^2*(x + 2)^3*(x -3)^3*(x^2 + 4*x -1)^4*(x^2 -12)^4*(x^3 + 2*x^2 -5*x -2)^4*(x + 1)^8*(x -1)^16;

T[559,2]=(x^3 + 3*x^2 -3)*(x^15 -2*x^14 -