CoCalc -- Collaborative Calculation in the Cloud
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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.

{
T=matrix(500,97,m,n,0);
T[474,2]=(x^4 -2*x^3 + 3*x^2 -4*x + 4)*(x^14 -2*x^13 + 3*x^12 -2*x^11 + 4*x^10 -9*x^9 + 18*x^8 -29*x^7 + 36*x^6 -36*x^5 + 32*x^4 -32*x^3 + 96*x^2 -128*x + 128)*(x^8 + 3*x^7 + 7*x^6 + 13*x^5 + 21*x^4 + 26*x^3 + 28*x^2 + 24*x + 16)*(x^2 + x + 2)^2*(x^10 + 4*x^8 + 12*x^6 -x^5 + 24*x^4 + 32*x^2 + 32)^2*(x -1)^13*(x + 1)^14;
T[474,3]=(x^2 -x + 3)*(x^2 -2*x + 3)*(x^2 + 3*x + 3)*(x^4 + 9)*(x^10 -x^9 + 3*x^8 -4*x^7 + 6*x^6 -22*x^5 + 18*x^4 -36*x^3 + 81*x^2 -81*x + 243)^2*(x^2 + x + 3)^4*(x + 1)^19*(x -1)^20;
T[474,5]=(x -2)*(x^2 + x -7)*(x^2 -3*x + 1)*(x^3 -3*x^2 -x + 2)*(x^4 -x^3 -19*x^2 + 20*x -4)*(x + 1)^2*(x -3)^2*(x -1)^2*(x^4 + 4*x^3 -x^2 -14*x -9)^2*(x^7 + 2*x^6 -25*x^5 -32*x^4 + 191*x^3 + 102*x^2 -416*x + 32)^2*(x^5 -7*x^4 + 9*x^3 + 27*x^2 -65*x + 31)^4*(x )^4*(x + 3)^6*(x + 2)^7;
T[474,7]=(x^2 + x -11)*(x^2 -x -7)*(x^3 -4*x + 1)*(x^4 -4*x^3 -12*x^2 + 55*x -24)*(x -3)^2*(x^7 -4*x^6 -23*x^5 + 98*x^4 + 12*x^3 -264*x^2 + 48*x + 128)^2*(x^4 + 2*x^3 -20*x^2 -40*x -16)^2*(x )^2*(x -1)^4*(x -4)^4*(x^5 + 5*x^4 -6*x^3 -52*x^2 -56*x -16)^4*(x + 3)^5*(x + 1)^7;
T[474,11]=(x^3 -x^2 -12*x + 16)*(x^4 -5*x^3 -40*x^2 + 192*x + 64)*(x + 4)^2*(x -2)^2*(x + 5)^2*(x^2 -6*x + 7)^2*(x^4 + 8*x^3 + 11*x^2 -42*x -89)^2*(x^7 -2*x^6 -42*x^5 + 40*x^4 + 416*x^3 -52*x^2 -611*x + 116)^2*(x -4)^4*(x^5 -2*x^4 -35*x^3 + 34*x^2 + 185*x + 106)^4*(x + 2)^6*(x )^8;
T[474,13]=(x^2 + 4*x -16)*(x^3 + x^2 -12*x -16)*(x^4 -9*x^3 + 2*x^2 + 112*x -128)*(x -2)^2*(x -5)^2*(x + 5)^2*(x + 7)^2*(x^2 + 2*x -7)^2*(x^2 -4*x -20)^2*(x^4 + 6*x^3 -21*x^2 -74*x + 141)^2*(x^7 -6*x^6 -16*x^5 + 194*x^4 -528*x^3 + 616*x^2 -315*x + 58)^2*(x )^2*(x + 1)^4*(x -3)^4*(x^5 + 3*x^4 -23*x^3 -123*x^2 -197*x -103)^4;
T[474,17]=(x -5)*(x + 1)*(x^2 + 3*x -5)*(x^2 -7*x + 11)*(x^3 -46*x + 53)*(x^4 -2*x^3 -30*x^2 + 51*x + 82)*(x -6)^2*(x + 4)^2*(x^2 -4*x -20)^2*(x^2 -2*x -1)^2*(x^4 + 8*x^3 -56*x + 48)^2*(x^7 + 8*x^6 -61*x^5 -542*x^4 + 944*x^3 + 10808*x^2 -736*x -54176)^2*(x )^2*(x + 2)^4*(x + 6)^4*(x^5 -10*x^4 + 16*x^3 + 88*x^2 -224*x + 32)^4;
T[474,19]=(x^2 -11*x + 23)*(x^2 -3*x -29)*(x^3 + 3*x^2 -43*x -98)*(x^4 -5*x^3 -23*x^2 + 110*x -72)*(x -2)^2*(x^2 -24)^2*(x^4 + 4*x^3 -27*x^2 -120*x -47)^2*(x^7 -4*x^6 -71*x^5 + 144*x^4 + 1253*x^3 -776*x^2 -1324*x -80)^2*(x + 6)^3*(x -4)^4*(x^5 + 4*x^4 -47*x^3 -124*x^2 + 541*x + 488)^4*(x + 2)^5*(x )^6;
T[474,23]=(x + 5)*(x -3)*(x^2 -x -7)*(x^2 + 3*x -59)*(x^3 -36*x + 27)*(x^4 -4*x^3 -12*x^2 + 55*x -24)*(x -6)^2*(x + 2)^2*(x^2 -4*x -20)^2*(x^2 -6*x -9)^2*(x^4 + 18*x^3 + 85*x^2 -32*x -613)^2*(x^7 -8*x^6 -24*x^5 + 332*x^4 -598*x^3 -1202*x^2 + 3825*x -1928)^2*(x )^2*(x -2)^4*(x + 6)^4*(x^5 -2*x^4 -43*x^3 + 106*x^2 + 177*x -142)^4;
T[474,29]=(x -1)*(x + 5)*(x^3 -3*x^2 -40*x -64)*(x^4 -7*x^3 -10*x^2 + 48*x + 32)*(x -8)^2*(x + 10)^2*(x -6)^2*(x^2 + 4*x -50)^2*(x^2 -6*x + 7)^2*(x^4 + 2*x^3 -68*x^2 + 40*x + 48)^2*(x^7 + 10*x^6 -89*x^5 -900*x^4 + 2688*x^3 + 25824*x^2 -27456*x -233440)^2*(x -4)^4*(x + 6)^4*(x^5 -6*x^4 -52*x^3 + 392*x^2 -496*x -32)^4*(x )^4;
T[474,31]=(x^3 + 8*x^2 -4*x -64)*(x^4 -4*x^3 -68*x^2 + 368*x -256)*(x )*(x -2)^2*(x -6)^2*(x + 2)^2*(x^2 + 4*x -4)^2*(x^2 + 4*x -20)^2*(x^4 -67*x^2 + 136*x + 373)^2*(x^7 -4*x^6 -79*x^5 + 396*x^4 + 1113*x^3 -8324*x^2 + 9996*x + 2560)^2*(x + 4)^3*(x -8)^4*(x^5 -2*x^4 -63*x^3 + 6*x^2 + 397*x + 314)^4*(x + 10)^6;
T[474,37]=(x + 8)*(x^2 -7*x + 5)*(x^2 + 15*x + 45)*(x^3 + x^2 -19*x -32)*(x^4 -3*x^3 -97*x^2 + 86*x + 2056)*(x -2)^2*(x -10)^2*(x + 10)^2*(x^2 + 4*x -2)^2*(x^2 -72)^2*(x^4 -4*x^3 -48*x^2 + 136*x + 368)^2*(x^7 -10*x^6 -96*x^5 + 888*x^4 + 2432*x^3 -22496*x^2 -11520*x + 133888)^2*(x -4)^3*(x^5 -84*x^3 -64*x^2 + 1264*x + 2272)^4*(x + 2)^6;
T[474,41]=(x + 2)*(x + 6)*(x^2 -3*x -5)*(x^2 -9*x + 19)*(x^3 -7*x^2 + x + 46)*(x^4 + 9*x^3 -61*x^2 -464*x -452)*(x + 8)^2*(x + 12)^2*(x^2 -12*x + 12)^2*(x^2 -8)^2*(x^4 -2*x^3 -76*x^2 -8*x + 368)^2*(x^7 + 20*x^6 + 16*x^5 -1456*x^4 -3648*x^3 + 36896*x^2 + 68608*x -344320)^2*(x -2)^4*(x^5 -30*x^4 + 336*x^3 -1752*x^2 + 4256*x -3872)^4*(x + 10)^6;
T[474,43]=(x -1)*(x + 5)*(x^2 -4*x -16)*(x^4 + 5*x^3 -40*x^2 -192*x + 64)*(x^3 + 15*x^2 + 32*x + 16)*(x + 2)^2*(x + 8)^2*(x^2 + 16*x + 58)^2*(x^2 -14*x + 41)^2*(x^4 + 16*x^3 + 68*x^2 -304)^2*(x^7 -22*x^6 + 61*x^5 + 1580*x^4 -10604*x^3 -13904*x^2 + 256080*x -519616)^2*(x -8)^4*(x^5 + 14*x^4 + 44*x^3 -120*x^2 -688*x -704)^4*(x -4)^8;
T[474,47]=(x -4)*(x^2 + 2*x -28)*(x^2 -14*x + 4)*(x^3 -2*x^2 -124*x + 16)*(x^4 + 18*x^3 + 44*x^2 -416*x -1536)*(x -3)^2*(x + 9)^2*(x^2 -4*x -28)^2*(x^2 -96)^2*(x^4 + 6*x^3 -68*x^2 -424*x -112)^2*(x^7 + 10*x^6 -104*x^5 -1152*x^4 -1376*x^3 + 2464*x^2 + 1344*x -1024)^2*(x )^3*(x + 3)^4*(x -7)^4*(x^5 -5*x^4 -136*x^3 + 536*x^2 + 4176*x -13456)^4;
T[474,53]=(x^2 -116)*(x^2 + 16*x + 44)*(x + 8)^2*(x -4)^2*(x + 12)^2*(x -6)^2*(x^2 -8*x + 8)^2*(x^2 -4*x -2)^2*(x^4 + 6*x^3 -144*x^2 -832*x + 1168)^2*(x^7 -236*x^5 -96*x^4 + 14832*x^3 -10720*x^2 -297600*x + 663808)^2*(x -8)^4*(x^5 -2*x^4 -136*x^3 -240*x^2 + 3792*x + 12352)^4*(x + 2)^5*(x -2)^6;
T[474,59]=(x + 2)*(x + 6)*(x^2 -7*x + 1)*(x^2 -9*x + 13)*(x^3 + 3*x^2 -193*x -538)*(x^4 + 33*x^3 + 351*x^2 + 1118*x -872)*(x -5)^2*(x + 9)^2*(x + 1)^2*(x -1)^2*(x -14)^2*(x^2 -12*x + 4)^2*(x^2 -6)^2*(x^4 + 2*x^3 -80*x^2 + 112*x + 432)^2*(x^7 + 2*x^6 -364*x^5 + 8*x^4 + 44816*x^3 -85952*x^2 -1854528*x + 6649600)^2*(x + 3)^4*(x^5 -5*x^4 -70*x^3 + 368*x^2 + 864*x -4624)^4;
T[474,61]=(x + 12)*(x^2 + 5*x + 5)*(x^2 -5*x -59)*(x^3 + 3*x^2 -171*x -864)*(x^4 + 3*x^3 -205*x^2 + 230*x + 5784)*(x -8)^2*(x^2 + 12*x -36)^2*(x^2 + 12*x + 30)^2*(x^4 -18*x^3 + 72*x^2 + 80*x + 16)^2*(x^7 -4*x^6 -192*x^5 + 528*x^4 + 10720*x^3 -15776*x^2 -134720*x -3712)^2*(x -12)^4*(x + 4)^4*(x^5 + 6*x^4 -196*x^3 -808*x^2 + 9840*x + 17984)^4*(x )^5;
T[474,67]=(x + 10)*(x -14)*(x^2 -3*x -63)*(x^2 -7*x -19)*(x^3 + 15*x^2 + 71*x + 106)*(x^4 + 15*x^3 -41*x^2 -722*x + 1016)*(x + 8)^2*(x^2 -16*x + 40)^2*(x^2 -16*x + 56)^2*(x^4 + 40*x^3 + 525*x^2 + 2160*x -1323)^2*(x^7 -20*x^6 -91*x^5 + 2908*x^4 -491*x^3 -92212*x^2 + 119672*x -6368)^2*(x + 4)^4*(x^5 + 16*x^4 -47*x^3 -1084*x^2 + 865*x + 3368)^4*(x -8)^8;
T[474,71]=(x -10)*(x^2 -8*x -4)*(x^4 -6*x^3 -68*x^2 + 184*x + 1088)*(x^3 + 2*x^2 -196*x + 632)*(x -8)^2*(x + 13)^2*(x + 9)^2*(x + 11)^2*(x + 3)^2*(x^2 -8)^2*(x^4 + 20*x^3 + 96*x^2 + 88*x -48)^2*(x^7 + 20*x^6 + 40*x^5 -808*x^4 -880*x^3 + 10176*x^2 -13952*x + 5120)^2*(x -6)^3*(x + 4)^4*(x -15)^4*(x^5 -3*x^4 -94*x^3 -68*x^2 + 1208*x + 848)^4;
T[474,73]=(x + 9)*(x -7)*(x^2 + 13*x + 35)*(x^2 -3*x -149)*(x^3 + 14*x^2 -72*x -461)*(x^4 -12*x^3 -172*x^2 + 1307*x + 7218)*(x -6)^2*(x^2 + 6*x -63)^2*(x^4 -14*x^3 -73*x^2 + 402*x + 37)^2*(x^7 -2*x^6 -220*x^5 + 262*x^4 + 10860*x^3 -16368*x^2 -66843*x -8434)^2*(x -12)^4*(x^5 + 12*x^4 + 31*x^3 + 24*x^2 + x -2)^4*(x + 6)^6*(x -2)^6;
T[474,79]=(x -1)^38*(x + 1)^39;
T[474,83]=(x + 15)*(x -9)*(x^2 + 10*x -4)*(x^2 -2*x -124)*(x^3 + 3*x^2 -58*x -28)*(x^4 + 19*x^3 + 62*x^2 -572*x -2928)*(x -14)^2*(x -12)^2*(x -18)^2*(x -6)^2*(x^2 -14*x -1)^2*(x^2 -8*x -80)^2*(x^4 + 8*x^3 -256*x^2 -1024*x + 12288)^2*(x^7 -10*x^6 -169*x^5 + 484*x^4 + 7552*x^3 + 6656*x^2 -30720*x + 16384)^2*(x^5 + 30*x^4 + 280*x^3 + 640*x^2 -1536*x + 512)^4*(x + 6)^6;
T[474,89]=(x + 12)*(x^2 + 4*x -112)*(x^2 + 20*x + 80)*(x^3 + 8*x^2 -64*x -448)*(x^4 -2*x^3 -80*x^2 + 128*x + 1152)*(x -9)^2*(x -6)^2*(x^2 -128)^2*(x^4 -2*x^3 -115*x^2 + 19)^2*(x^7 + 20*x^6 + 21*x^5 -1614*x^4 -6825*x^3 + 30010*x^2 + 150848*x -55040)^2*(x + 15)^4*(x^5 -47*x^4 + 817*x^3 -6181*x^2 + 16507*x + 5951)^4*(x -4)^5*(x + 7)^6;
T[474,97]=(x + 1)*(x -7)*(x^2 + 23*x + 71)*(x^2 + 15*x -9)*(x^3 + 8*x^2 -154*x -1009)*(x^4 + 6*x^3 -154*x^2 -469*x + 1618)*(x -17)^2*(x + 11)^2*(x -10)^2*(x -13)^2*(x -1)^2*(x^2 + 4*x -92)^2*(x^2 + 2*x -287)^2*(x^4 -22*x^3 + 75*x^2 + 606*x -2471)^2*(x^7 -14*x^6 -136*x^5 + 1958*x^4 + 4716*x^3 -67280*x^2 -59999*x + 372254)^2*(x + 19)^4*(x^5 + x^4 -211*x^3 -497*x^2 + 6847*x -1793)^4;

T[475,2]=(x + 1)*(x -1)*(x^3 -4*x^2 + 3*x + 1)*(x^3 + 2*x^2 -3*x -5)*(x^3 + 4*x^2 + 3*x -1)*(x^3 -2*x^2 -3*x + 5)*(x^3 + x^2 -3*x -1)*(x^4 -2*x^3 -6*x^2 + 8*x + 9)*(x^6 -10*x^4 + 27*x^2 -16)*(x^3 -x^2 -3*x + 1)^2*(x^4 + 2*x^3 -6*x^2 -8*x + 9)^2*(x )^4;
T[475,3]=(x -2)*(x^3 -2*x^2 -3*x + 5)*(x^3 + 2*x^2 -x -1)*(x^3 + 2*x^2 -4*x -4)*(x^3 -2*x^2 -x + 1)*(x^3 + 2*x^2 -3*x -5)*(x^4 + 2*x^3 -8*x^2 -16*x -4)*(x^6 -16*x^4 + 60*x^2 -16)*(x^3 -2*x^2 -4*x + 4)^2*(x^4 -2*x^3 -8*x^2 + 16*x -4)^2*(x )^2*(x + 2)^3;
T[475,5]=(x^2 -3*x + 5)*(x -1)^3*(x + 1)^4*(x )^36;
T[475,7]=(x + 2)*(x -1)*(x -2)*(x^3 -7*x -7)*(x^3 + 4*x^2 + x -1)*(x^3 -7*x + 7)*(x^3 -16*x -16)*(x^3 -4*x^2 + x + 1)*(x^4 + 4*x^3 -16*x^2 -48*x + 32)*(x^6 -19*x^4 + 104*x^2 -144)*(x^3 -16*x + 16)^2*(x^4 -4*x^3 -16*x^2 + 48*x + 32)^2*(x + 1)^3;
T[475,11]=(x + 4)^2*(x^3 -x^2 -16*x -13)^2*(x^3 -x^2 -16*x + 12)^2*(x^3 -x^2 -4*x -1)^2*(x^3 + 8*x^2 + 8*x -16)^3*(x^4 -4*x^3 -16*x^2 + 32*x + 48)^3*(x -3)^4;
T[475,13]=(x + 2)*(x -2)*(x -4)*(x^3 + 3*x^2 -36*x -103)*(x^3 + 5*x^2 + 6*x + 1)*(x^3 -5*x^2 + 6*x -1)*(x^3 -3*x^2 -36*x + 103)*(x^3 + 8*x^2 + 12*x + 4)*(x^4 + 2*x^3 -24*x^2 -32*x + 20)*(x^6 -28*x^4 + 236*x^2 -576)*(x^3 -8*x^2 + 12*x -4)^2*(x^4 -2*x^3 -24*x^2 + 32*x + 20)^2*(x + 4)^3;
T[475,17]=(x + 4)*(x -4)*(x -3)*(x^3 -2*x^2 -15*x -13)*(x^3 + 2*x^2 -15*x + 13)*(x^3 + 14*x^2 + 61*x + 79)*(x^3 -14*x^2 + 61*x -79)*(x^4 + 4*x^3 -32*x^2 -16*x + 48)*(x^3 + 2*x^2 -36*x -104)*(x^6 -59*x^4 + 1008*x^2 -5184)*(x^3 -2*x^2 -36*x + 104)^2*(x^4 -4*x^3 -32*x^2 + 16*x + 48)^2*(x + 3)^3;
T[475,19]=(x + 1)^21*(x -1)^24;
T[475,23]=(x -6)*(x + 6)*(x^3 -4*x^2 -8*x + 16)*(x^3 + 8*x^2 -9*x -125)*(x^3 -8*x^2 + 19*x -13)*(x^3 -8*x^2 -9*x + 125)*(x^3 + 8*x^2 + 19*x + 13)*(x^4 -8*x^3 -24*x^2 + 176*x + 288)*(x^6 -36*x^4 + 208*x^2 -64)*(x^3 + 4*x^2 -8*x -16)^2*(x^4 + 8*x^3 -24*x^2 -176*x + 288)^2*(x )^4;
T[475,29]=(x + 6)^2*(x^3 + 5*x^2 + 4*x -5)^2*(x^3 + 7*x^2 -42*x -91)^2*(x^3 + 10*x^2 + 12*x -40)^3*(x^4 -4*x^3 -32*x^2 + 16*x + 48)^3*(x -6)^10;
T[475,31]=(x^3 + 5*x^2 -36*x + 43)^2*(x^3 -56*x + 128)^2*(x^3 + x^2 -30*x + 53)^2*(x^3 -4*x^2 -48*x + 64)^3*(x^4 -4*x^3 -80*x^2 + 512*x -640)^3*(x + 4)^6;
T[475,37]=(x + 2)*(x -10)*(x + 10)*(x^3 + 5*x^2 -8*x + 1)*(x^3 -5*x^2 -74*x + 395)*(x^3 + 5*x^2 -74*x -395)*(x^3 -5*x^2 -8*x -1)*(x^4 -6*x^3 -24*x^2 + 40*x + 4)*(x^3 + 20*x^2 + 124*x + 244)*(x^6 -56*x^4 + 764*x^2 -1296)*(x^3 -20*x^2 + 124*x -244)^2*(x^4 + 6*x^3 -24*x^2 -40*x + 4)^2*(x -2)^3;
T[475,41]=(x + 10)^2*(x^3 -x^2 -82*x + 155)^2*(x^3 -6*x^2 -44*x -24)^2*(x^3 -x^2 -114*x + 421)^2*(x^3 + 2*x^2 -36*x -104)^3*(x^4 -16*x^3 + 56*x^2 + 32*x -240)^3*(x + 6)^4;
T[475,43]=(x + 2)*(x -2)*(x -1)*(x^3 -4*x^2 -144*x + 592)*(x^3 -5*x^2 -113*x + 317)*(x^3 + 5*x^2 -57*x -293)*(x^3 + 5*x^2 -113*x -317)*(x^3 -5*x^2 -57*x + 293)*(x^4 + 4*x^3 -16*x^2 -48*x + 32)*(x^6 -19*x^4 + 104*x^2 -144)*(x^3 + 4*x^2 -144*x -592)^2*(x^4 -4*x^3 -16*x^2 + 48*x + 32)^2*(x + 1)^3;
T[475,47]=(x + 6)*(x -6)*(x -3)*(x^3 + 9*x^2 -64*x -311)*(x^3 + 3*x^2 -4*x -13)*(x^3 -9*x^2 -64*x + 311)*(x^3 -16*x -16)*(x^3 -3*x^2 -4*x + 13)*(x^4 -12*x^3 -64*x^2 + 656*x + 1056)*(x^6 -187*x^4 + 7464*x^2 -85264)*(x^3 -16*x + 16)^2*(x^4 + 12*x^3 -64*x^2 -656*x + 1056)^2*(x + 3)^3;
T[475,53]=(x + 12)*(x -10)*(x + 10)*(x^3 + 31*x^2 + 303*x + 905)*(x^3 -19*x^2 + 55*x + 307)*(x^3 -31*x^2 + 303*x -905)*(x^3 + 19*x^2 + 55*x -307)*(x^4 -10*x^3 + 184*x -348)*(x^3 + 16*x^2 + 76*x + 92)*(x^6 -156*x^4 + 2476*x^2 -64)*(x^3 -16*x^2 + 76*x -92)^2*(x^4 + 10*x^3 -184*x -348)^2*(x -12)^3;
T[475,59]=(x^3 -10*x^2 -32*x + 328)^2*(x^3 + 6*x^2 -40*x -200)^2*(x^3 -10*x^2 + 8*x + 48)^2*(x )^2*(x^3 + 20*x^2 + 112*x + 160)^3*(x^4 -64*x^2 -224*x -192)^3*(x + 6)^4;
T[475,61]=(x -2)^2*(x^3 -3*x^2 -10*x -1)^2*(x^3 + 7*x^2 -104*x -776)^2*(x^3 + 17*x^2 + 66*x -41)^2*(x^3 + 2*x^2 -84*x + 232)^3*(x^4 -20*x^3 + 56*x^2 + 688*x -2656)^3*(x + 1)^4;
T[475,67]=(x -8)*(x + 8)*(x -4)*(x^3 + 13*x^2 -169)*(x^3 -x^2 -142*x -559)*(x^3 -13*x^2 + 169)*(x^3 + x^2 -142*x + 559)*(x^3 + 2*x^2 -76*x + 116)*(x^4 -18*x^3 + 8*x^2 + 488*x -1076)*(x^6 -340*x^4 + 28556*x^2 -484416)*(x^3 -2*x^2 -76*x -116)^2*(x^4 + 18*x^3 + 8*x^2 -488*x -1076)^2*(x + 4)^3;
T[475,71]=(x -4)^2*(x^3 -7*x^2 -x + 47)^2*(x^3 -26*x^2 + 200*x -432)^2*(x^3 + 19*x^2 + 55*x -307)^2*(x^3 + 4*x^2 -80*x -64)^3*(x^4 + 20*x^3 + 32*x^2 -1024*x -4224)^3*(x -6)^4;
T[475,73]=(x -7)*(x -4)*(x + 4)*(x^3 + x^2 -170*x -463)*(x^3 + x^2 -30*x + 53)*(x^3 -x^2 -170*x + 463)*(x^3 -x^2 -30*x -53)*(x^4 + 28*x^3 + 256*x^2 + 784*x + 176)*(x^3 + 2*x^2 -20*x -8)*(x^6 -131*x^4 + 1616*x^2 -5184)*(x^3 -2*x^2 -20*x + 8)^2*(x^4 -28*x^3 + 256*x^2 -784*x + 176)^2*(x + 7)^3;
T[475,79]=(x -4)^2*(x^3 -18*x^2 + 87*x -97)^2*(x^3 + 18*x^2 + 17*x -395)^2*(x^3 + 12*x^2 -8*x -32)^2*(x^3 -192*x -160)^3*(x^4 + 16*x^3 + 32*x^2 -480*x -1856)^3*(x -8)^4;
T[475,83]=(x -18)*(x + 12)*(x + 18)*(x^3 + 3*x^2 -270*x + 131)*(x^3 -13*x^2 -2*x + 139)*(x^3 -3*x^2 -270*x -131)*(x^3 + 13*x^2 -2*x -139)*(x^4 -72*x^2 + 112*x + 480)*(x^3 -32*x^2 + 328*x -1072)*(x^6 -228*x^4 + 11728*x^2 -141376)*(x^3 + 32*x^2 + 328*x + 1072)^2*(x^4 -72*x^2 -112*x + 480)^2*(x -12)^3;
T[475,89]=(x + 2)^2*(x^3 + 20*x^2 + 51*x -125)^2*(x^3 -2*x^2 -99*x + 281)^2*(x^3 -12*x^2 -284*x + 3456)^2*(x^3 -2*x^2 -132*x + 680)^3*(x^4 -4*x^3 -144*x^2 -176*x + 240)^3*(x -12)^4;
T[475,97]=(x -6)*(x + 8)*(x + 6)*(x^3 -13*x^2 + 169)*(x^3 + 20*x^2 -60*x -1748)*(x^3 + 5*x^2 + 6*x + 1)*(x^3 + 13*x^2 -169)*(x^3 -5*x^2 + 6*x -1)*(x^4 + 30*x^3 + 224*x^2 + 8*x -1388)*(x^6 -28*x^4 + 236*x^2 -576)*(x^3 -20*x^2 -60*x + 1748)^2*(x^4 -30*x^3 + 224*x^2 -8*x -1388)^2*(x -8)^3;

T[476,2]=(x^8 + x^7 + 3*x^6 + 5*x^5 + 7*x^4 + 10*x^3 + 12*x^2 + 8*x + 16)*(x^10 -2*x^9 + 2*x^8 -2*x^7 + 6*x^6 -9*x^5 + 12*x^4 -8*x^3 + 16*x^2 -32*x + 32)*(x^2 + x + 2)^2*(x -1)^5*(x + 1)^6*(x )^34;
T[476,3]=(x^2 -x -3)*(x^2 + x -3)*(x^2 + 3*x -1)*(x^2 + x -1)*(x^2 -2*x -4)^2*(x^2 -2*x -2)^2*(x^4 -2*x^3 -7*x^2 + 12*x -1)^3*(x^5 + 2*x^4 -11*x^3 -12*x^2 + 31*x -12)^3*(x -2)^4*(x + 2)^10*(x )^10;
T[476,5]=(x^2 + 3*x -1)*(x^2 + x -1)*(x^2 -x -3)*(x^2 + x -3)*(x -2)^2*(x -4)^2*(x + 4)^2*(x^2 -12)^2*(x^2 -2*x -4)^2*(x^4 -2*x^3 -7*x^2 + 4*x + 3)^3*(x^5 -23*x^3 + 18*x^2 + 131*x -178)^3*(x + 2)^8*(x )^10;
T[476,7]=(x^4 + 2*x^3 + 12*x^2 + 14*x + 49)*(x^2 + 4*x + 7)^2*(x^2 -4*x + 7)^3*(x -1)^26*(x + 1)^27;
T[476,11]=(x^2 -2*x -12)*(x^2 + 6*x + 4)*(x -4)^2*(x + 4)^2*(x + 6)^2*(x^2 -6*x + 4)^2*(x^2 + 6*x + 6)^2*(x^4 -2*x^3 -20*x^2 + 8*x + 48)^3*(x^5 + 2*x^4 -44*x^3 -40*x^2 + 496*x -192)^3*(x -6)^4*(x + 2)^4*(x )^14;
T[476,13]=(x^2 -6*x -4)*(x^2 + 2*x -4)*(x^2 + 2*x -12)*(x^2 + 6*x -4)*(x^2 -4*x -8)^2*(x^2 -4*x -16)^2*(x )^2*(x^4 -8*x^3 -16*x^2 + 216*x -368)^3*(x^5 -2*x^4 -40*x^3 + 56*x^2 + 352*x -544)^3*(x -2)^4*(x + 4)^6*(x + 2)^12;
T[476,17]=(x^2 -6*x + 17)^2*(x -1)^31*(x + 1)^32;
T[476,19]=(x^2 -6*x -4)*(x^2 -10*x + 12)*(x -4)^2*(x + 2)^2*(x^2 -4*x -8)^2*(x^2 + 8*x -4)^3*(x^4 -10*x^3 -20*x^2 + 392*x -784)^3*(x^5 -6*x^4 -12*x^3 + 56*x^2 + 48*x -64)^3*(x + 6)^4*(x -2)^4*(x )^4*(x + 4)^10;
T[476,23]=(x^2 + 2*x -44)*(x^2 -2*x -12)*(x + 8)^2*(x + 4)^2*(x^2 + 6*x + 6)^2*(x^4 + 6*x^3 -40*x^2 -224*x -240)^3*(x^5 + 10*x^4 -8*x^3 -144*x^2 + 272*x -128)^3*(x -8)^4*(x -4)^10*(x )^14;
T[476,29]=(x^2 + 10*x + 12)*(x^2 -4*x -48)*(x -4)^2*(x -8)^2*(x^2 -12)^2*(x^2 -2*x -44)^3*(x^4 -2*x^3 -20*x^2 + 8*x + 48)^3*(x^5 + 8*x^4 -72*x^3 -464*x^2 + 1216*x + 2592)^3*(x + 6)^6*(x -6)^8*(x )^8;
T[476,31]=(x^2 -11*x + 27)*(x^2 -5*x + 3)*(x^2 + 17*x + 69)*(x^2 + 3*x -59)*(x -8)^2*(x^2 + 12*x + 16)^2*(x^2 + 2*x -26)^2*(x^4 -12*x^3 -13*x^2 + 418*x -917)^3*(x^5 -33*x^3 -94*x^2 -77*x -16)^3*(x )^6*(x + 4)^8*(x -4)^8;
T[476,37]=(x^2 -2*x -12)*(x^2 + 8*x -4)*(x^2 + 2*x -116)*(x^2 -52)*(x -8)^2*(x -4)^2*(x + 10)^2*(x + 6)^2*(x^2 + 2*x -4)^2*(x^2 -16*x + 52)^2*(x^4 -6*x^3 -44*x^2 -8*x + 80)^3*(x^5 -8*x^4 -104*x^3 + 432*x^2 + 3584*x + 4384)^3*(x -2)^4*(x + 4)^6*(x + 2)^6;
T[476,41]=(x^2 + 3*x -27)*(x^2 -x -81)*(x^2 + 5*x -75)*(x^2 -11*x -1)*(x^2 + 16*x + 44)^2*(x^4 -12*x^3 + 27*x^2 + 86*x -237)^3*(x^5 -18*x^4 + 79*x^3 -64*x^2 -137*x + 162)^3*(x + 2)^4*(x -6)^10*(x + 6)^14;
T[476,43]=(x^2 + 13*x + 11)*(x^2 -11*x + 27)*(x + 12)^2*(x + 8)^2*(x^2 -4*x -104)^2*(x^2 + 5*x + 3)^2*(x^2 + 4*x -16)^2*(x^4 + 12*x^3 -23*x^2 -212*x -115)^3*(x^5 -8*x^4 -31*x^3 + 216*x^2 + 157*x -1052)^3*(x )^4*(x -4)^8*(x -8)^8;
T[476,47]=(x^2 + 8*x -4)*(x + 8)^2*(x -10)^2*(x -4)^2*(x^2 -48)^2*(x^2 -2*x -12)^2*(x^2 -4*x -16)^2*(x^4 -2*x^3 -128*x^2 -64*x + 1776)^3*(x^5 + 10*x^4 -48*x^3 -816*x^2 -2704*x -2304)^3*(x -8)^4*(x + 12)^4*(x )^12;
T[476,53]=(x^2 + 3*x -149)*(x^2 + 11*x + 27)*(x + 2)^2*(x -2)^2*(x -14)^2*(x^2 -20)^2*(x^2 -5*x + 3)^2*(x^2 -12*x -12)^2*(x^4 + 26*x^3 + 227*x^2 + 758*x + 801)^3*(x^5 -4*x^4 -33*x^3 + 76*x^2 + 301*x + 138)^3*(x + 6)^8*(x -6)^10;
T[476,59]=(x^2 + 4*x -48)*(x^2 -4*x -48)*(x + 8)^2*(x -10)^2*(x + 4)^2*(x^2 -12*x + 24)^2*(x^4 + 4*x^3 -192*x^2 -1408*x -768)^3*(x^5 -8*x^4 -80*x^3 + 640*x^2 + 256*x -3072)^3*(x -4)^4*(x + 12)^6*(x )^6*(x + 6)^10;
T[476,61]=(x^2 + 5*x + 3)*(x^2 -x -61)*(x^2 + 5*x -23)*(x^2 -13*x -39)*(x + 8)^2*(x -10)^2*(x -2)^2*(x^2 + 8*x + 4)^2*(x^2 + 2*x -4)^2*(x^4 -12*x^3 -157*x^2 + 1330*x + 6451)^3*(x^5 -22*x^4 + 143*x^3 -40*x^2 -2377*x + 5542)^3*(x + 4)^4*(x -8)^4*(x + 12)^4*(x + 10)^6;
T[476,67]=(x^2 + 7*x + 9)*(x^2 + 15*x + 25)*(x + 8)^2*(x + 16)^2*(x -12)^2*(x^2 -9*x + 17)^2*(x^2 -16*x + 16)^2*(x^2 + 12*x + 16)^2*(x^4 + 12*x^3 -71*x^2 -548*x + 1949)^3*(x^5 -16*x^4 + 49*x^3 + 304*x^2 -1747*x + 1868)^3*(x + 4)^4*(x -8)^6*(x -4)^8;
T[476,71]=(x^2 -6*x -108)*(x^2 + 14*x + 36)*(x^2 -4*x -76)*(x + 8)^2*(x + 2)^2*(x -12)^2*(x^2 -4*x -16)^2*(x^2 + 6*x -18)^2*(x^4 + 14*x^3 -44*x^2 -1160*x -3312)^3*(x^5 + 2*x^4 -236*x^3 -872*x^2 + 7472*x + 13696)^3*(x -4)^4*(x + 4)^6*(x )^10;
T[476,73]=(x^2 + 9*x -61)*(x^2 + 3*x -79)*(x^2 -21*x + 99)*(x^2 + 5*x -23)*(x -10)^2*(x + 14)^2*(x + 10)^2*(x^2 -180)^2*(x^4 -20*x^3 + 123*x^2 -262*x + 131)^3*(x^5 -10*x^4 -177*x^3 + 2212*x^2 -4217*x -11118)^3*(x + 6)^6*(x -2)^16;
T[476,79]=(x^2 + 12*x -44)*(x^2 -18*x + 68)*(x^2 -2*x -12)*(x + 8)^2*(x + 6)^2*(x + 12)^2*(x + 4)^2*(x^2 + 14*x + 22)^2*(x^2 + 12*x + 16)^2*(x )^2*(x^4 + 14*x^3 -56*x^2 -928*x -400)^3*(x^5 -18*x^4 + 40*x^3 + 544*x^2 -2672*x + 3072)^3*(x -8)^8*(x -12)^8;
T[476,83]=(x^2 -4*x -48)*(x^2 -4*x -176)*(x^2 + 8*x -36)*(x -4)^2*(x -10)^2*(x -6)^2*(x^2 + 12*x + 24)^2*(x^4 + 28*x^3 + 264*x^2 + 968*x + 1200)^3*(x^5 + 12*x^4 -64*x^3 -952*x^2 -1872*x + 1984)^3*(x -2)^4*(x -12)^4*(x )^4*(x + 4)^6*(x + 6)^6;
T[476,89]=(x^2 + 26*x + 156)*(x^2 + 6*x -108)*(x + 2)^2*(x^2 -12*x + 24)^2*(x^4 + 10*x^3 -176*x^2 -592*x + 720)^3*(x^5 -20*x^4 -100*x^3 + 3552*x^2 -14192*x + 7456)^3*(x -2)^6*(x + 6)^12*(x -10)^12;
T[476,97]=(x^2 + 9*x + 17)*(x^2 + 15*x + 27)*(x^2 + 23*x + 129)*(x^2 -19*x + 59)*(x^2 -4*x -44)^2*(x^2 + 8*x -4)^2*(x^4 -26*x^3 + 177*x^2 + 4*x -1901)^3*(x^5 -12*x^4 -239*x^3 + 2766*x^2 + 2163*x + 218)^3*(x -14)^4*(x + 14)^4*(x + 10)^4*(x -2)^6*(x -6)^6;

T[477,2]=(x -1)*(x^4 + 3*x^3 -x^2 -5*x + 1)*(x^4 -3*x^3 -x^2 + 5*x + 1)*(x^4 + 3*x^3 -x^2 -7*x -3)*(x^5 -10*x^3 + 22*x -5)*(x^3 -x^2 -3*x + 1)*(x^4 -3*x^3 -x^2 + 7*x -3)^2*(x^5 -10*x^3 + 22*x + 5)^2*(x + 1)^3*(x^3 + x^2 -3*x -1)^3;
T[477,3]=(x^2 + 3*x + 3)*(x^6 -3*x^5 + 8*x^4 -17*x^3 + 24*x^2 -27*x + 27)*(x -1)^4*(x + 1)^5*(x )^34;
T[477,5]=(x^4 -4*x^3 -x^2 + 14*x -9)*(x^4 + 2*x^3 -11*x^2 -32*x -21)*(x^4 + 4*x^3 -x^2 -14*x -9)*(x^5 -19*x^3 -6*x^2 + 67*x + 2)*(x^3 -2*x^2 -4*x + 4)*(x^4 -2*x^3 -11*x^2 + 32*x -21)^2*(x^5 -19*x^3 + 6*x^2 + 67*x -2)^2*(x^3 + 2*x^2 -4*x -4)^3*(x )^4;
T[477,7]=(x^4 -7*x^2 + 4*x + 1)^2*(x^4 + 4*x^3 -7*x^2 -44*x -43)^3*(x^5 -4*x^4 -23*x^3 + 92*x^2 + 117*x -472)^3*(x + 4)^4*(x^3 -4*x^2 + 4)^4;
T[477,11]=(x^4 -8*x^3 + 8*x^2 + 40*x -48)*(x^4 + 8*x^3 + 8*x^2 -40*x -48)*(x^4 + 6*x^3 -28*x^2 -232*x -336)*(x^5 + 2*x^4 -28*x^3 -72*x^2 + 16*x + 64)*(x^3 -4*x^2 -4*x + 20)*(x^4 -6*x^3 -28*x^2 + 232*x -336)^2*(x^5 -2*x^4 -28*x^3 + 72*x^2 + 16*x -64)^2*(x^3 + 4*x^2 -4*x -20)^3*(x )^4;
T[477,13]=(x^4 + 6*x^3 -21*x^2 -106*x + 93)^2*(x^4 + 6*x^3 -9*x^2 -70*x + 1)^3*(x^5 -8*x^4 -13*x^3 + 136*x^2 + 101*x -110)^3*(x + 3)^4*(x -1)^12;
T[477,17]=(x -3)*(x^4 + 10*x^3 + 16*x^2 -64*x -144)*(x^4 -10*x^3 + 16*x^2 + 64*x -144)*(x^4 + 10*x^3 -12*x^2 -280*x -432)*(x^5 -40*x^3 + 352*x + 160)*(x^3 -5*x^2 -5*x + 17)*(x^4 -10*x^3 -12*x^2 + 280*x -432)^2*(x^5 -40*x^3 + 352*x -160)^2*(x + 3)^3*(x^3 + 5*x^2 -5*x -17)^3;
T[477,19]=(x^4 -24*x^2 -8*x + 112)^2*(x^4 + 6*x^3 -36*x^2 -280*x -368)^3*(x^5 -2*x^4 -28*x^3 + 72*x^2 + 16*x -64)^3*(x + 5)^4*(x^3 -11*x^2 + 37*x -37)^4;
T[477,23]=(x + 7)*(x^4 + 8*x^3 + 11*x^2 -42*x -89)*(x^4 -8*x^3 + 11*x^2 + 42*x -89)*(x^4 + 2*x^3 -35*x^2 -104*x -21)*(x^5 -6*x^4 -39*x^3 + 196*x^2 + 227*x -272)*(x^3 + 3*x^2 -31*x + 29)*(x^4 -2*x^3 -35*x^2 + 104*x -21)^2*(x^5 + 6*x^4 -39*x^3 -196*x^2 + 227*x + 272)^2*(x -7)^3*(x^3 -3*x^2 -31*x -29)^3;
T[477,29]=(x -7)*(x^4 + 8*x^3 -72*x + 16)*(x^4 + 6*x^3 -28*x^2 -232*x -336)*(x^4 -8*x^3 + 72*x + 16)*(x^5 + 20*x^4 + 96*x^3 -192*x^2 -1728*x -1504)*(x^3 -5*x^2 -37*x + 61)*(x^4 -6*x^3 -28*x^2 + 232*x -336)^2*(x^5 -20*x^4 + 96*x^3 + 192*x^2 -1728*x + 1504)^2*(x + 7)^3*(x^3 + 5*x^2 -37*x -61)^3;
T[477,31]=(x^4 -2*x^3 -48*x^2 -96*x + 16)^2*(x^4 + 12*x^3 -24*x^2 -568*x -944)^3*(x^5 -8*x^4 -8*x^3 + 168*x^2 -336*x + 128)^3*(x -4)^4*(x^3 + 2*x^2 -76*x + 116)^4;
T[477,37]=(x^4 + 6*x^3 -33*x^2 -58*x + 181)^2*(x^4 + 10*x^3 + 3*x^2 -94*x + 53)^3*(x^5 -4*x^4 -65*x^3 + 248*x^2 -215*x + 34)^3*(x -5)^4*(x^3 + 5*x^2 -89*x -353)^4;
T[477,41]=(x + 6)*(x^4 + 2*x^3 -79*x^2 -28*x + 3)*(x^4 -2*x^3 -79*x^2 + 28*x + 3)*(x^4 + 12*x^3 -85*x^2 -742*x + 3243)*(x^5 + 18*x^4 + 63*x^3 -400*x^2 -2553*x -3474)*(x^3 -10*x^2 + 20*x + 8)*(x^4 -12*x^3 -85*x^2 + 742*x + 3243)^2*(x^5 -18*x^4 + 63*x^3 + 400*x^2 -2553*x + 3474)^2*(x -6)^3*(x^3 + 10*x^2 + 20*x -8)^3;
T[477,43]=(x^4 + 8*x^3 -51*x^2 -608*x -1387)^2*(x^4 + 16*x^3 + 33*x^2 -356*x -1103)^3*(x^5 -12*x^4 -39*x^3 + 392*x^2 + 329*x -3004)^3*(x + 2)^4*(x^3 -18*x^2 + 24*x + 556)^4;
T[477,47]=(x -2)*(x^4 -22*x^3 + 132*x^2 + 24*x -1424)*(x^4 + 22*x^3 + 132*x^2 -24*x -1424)*(x^4 -64*x^2 + 200*x -48)*(x^5 -4*x^4 -104*x^3 + 456*x^2 + 272*x -2048)*(x^3 -10*x^2 -4*x + 8)*(x^4 -64*x^2 -200*x -48)^2*(x^5 + 4*x^4 -104*x^3 -456*x^2 + 272*x + 2048)^2*(x + 2)^3*(x^3 + 10*x^2 -4*x -8)^3;
T[477,53]=(x + 1)^23*(x -1)^28;
T[477,59]=(x -2)*(x^4 -4*x^3 -152*x^2 + 584*x + 944)*(x^4 + 10*x^3 -116*x^2 -904*x + 48)*(x^4 + 4*x^3 -152*x^2 -584*x + 944)*(x^5 -18*x^4 + 20*x^3 + 1224*x^2 -7440*x + 11968)*(x^3 + 2*x^2 -60*x -200)*(x^4 -10*x^3 -116*x^2 + 904*x + 48)^2*(x^5 + 18*x^4 + 20*x^3 -1224*x^2 -7440*x -11968)^2*(x + 2)^3*(x^3 -2*x^2 -60*x + 200)^3;
T[477,61]=(x^4 -6*x^3 -108*x^2 + 376*x + 3184)^2*(x^4 -14*x^3 -4*x^2 + 456*x -752)^3*(x^5 -12*x^4 -192*x^3 + 1216*x^2 + 13632*x + 18272)^3*(x + 8)^4*(x^3 + 10*x^2 -56*x -556)^4;
T[477,67]=(x^4 -6*x^3 -180*x^2 + 1080*x -1296)^2*(x^4 + 6*x^3 -84*x^2 -280*x + 496)^3*(x^5 -6*x^4 -188*x^3 + 968*x^2 + 7472*x -34240)^3*(x + 12)^4*(x^3 -6*x^2 -72*x -108)^4;
T[477,71]=(x + 1)*(x^4 + 6*x^3 -259*x^2 -1664*x + 4783)*(x^4 -8*x^3 -25*x^2 + 154*x + 387)*(x^4 -6*x^3 -259*x^2 + 1664*x + 4783)*(x^5 + 4*x^4 -293*x^3 -822*x^2 + 12603*x + 24992)*(x^3 -5*x^2 -105*x -277)*(x^4 + 8*x^3 -25*x^2 -154*x + 387)^2*(x^5 -4*x^4 -293*x^3 + 822*x^2 + 12603*x -24992)^2*(x -1)^3*(x^3 + 5*x^2 -105*x + 277)^3;
T[477,73]=(x^4 + 4*x^3 -208*x^2 -152*x + 5552)^2*(x^4 -10*x^3 -136*x^2 + 864*x + 5072)^3*(x^5 -8*x^4 -300*x^3 + 1424*x^2 + 22832*x -8800)^3*(x + 4)^4*(x^3 -6*x^2 -28*x -4)^4;
T[477,79]=(x^4 + 8*x^3 -88*x^2 + 168*x -16)^2*(x^4 -10*x^3 + 4*x^2 + 152*x -304)^3*(x^5 + 2*x^4 -116*x^3 -88*x^2 + 1296*x -1408)^3*(x + 1)^4*(x^3 + 7*x^2 -77*x + 131)^4;
T[477,83]=(x -1)*(x^4 + 12*x^3 -21*x^2 -2*x + 3)*(x^4 -34*x^3 + 321*x^2 -4*x -8141)*(x^4 + 34*x^3 + 321*x^2 + 4*x -8141)*(x^5 -36*x^4 + 327*x^3 + 1618*x^2 -35733*x + 128420)*(x^3 + 27*x^2 + 213*x + 457)*(x^4 -12*x^3 -21*x^2 + 2*x + 3)^2*(x^5 + 36*x^4 + 327*x^3 -1618*x^2 -35733*x -128420)^2*(x + 1)^3*(x^3 -27*x^2 + 213*x -457)^3;
T[477,89]=(x -14)*(x^3 -2*x^2 -212*x -1048)*(x^4 + 6*x^3 -36*x^2 -280*x -368)*(x^4 -4*x^3 -200*x^2 + 376*x + 1008)*(x^4 -6*x^3 -36*x^2 + 280*x -368)*(x^5 + 26*x^4 + 88*x^3 -2520*x^2 -22176*x -41504)*(x^4 + 4*x^3 -200*x^2 -376*x + 1008)^2*(x^5 -26*x^4 + 88*x^3 + 2520*x^2 -22176*x + 41504)^2*(x + 14)^3*(x^3 + 2*x^2 -212*x + 1048)^3;
T[477,97]=(x^4 -6*x^3 -101*x^2 + 314*x + 2429)^2*(x^4 -6*x^3 -73*x^2 + 502*x -431)^3*(x^5 + 16*x^4 -245*x^3 -3232*x^2 + 15797*x + 148286)^3*(x -1)^4*(x^3 + x^2 -133*x -137)^4;

T[478,2]=(x^6 + x^5 + 4*x^4 + 3*x^3 + 8*x^2 + 4*x + 8)*(x^34 + 6*x^32 + x^31 + 23*x^30 + 11*x^29 + 71*x^28 + 47*x^27 + 199*x^26 + 119*x^25 + 527*x^24 + 243*x^23 + 1259*x^22 + 491*x^21 + 2671*x^20 + 1054*x^19 + 5335*x^18 + 2273*x^17 + 10670*x^16 + 4216*x^15 + 21368*x^14 + 7856*x^13 + 40288*x^12 + 15552*x^11 + 67456*x^10 + 30464*x^9 + 101888*x^8 + 48128*x^7 + 145408*x^6 + 45056*x^5 + 188416*x^4 + 16384*x^3 + 196608*x^2 + 131072)*(x -1)^9*(x + 1)^10;
T[478,3]=(x^4 + 2*x^3 -4*x^2 -5*x -1)*(x^4 + 6*x^3 + 10*x^2 + 3*x -1)*(x^5 -2*x^4 -6*x^3 + 11*x^2 + 7*x -12)*(x^6 -2*x^5 -12*x^4 + 19*x^3 + 35*x^2 -32*x -32)*(x^3 + x^2 -2*x -1)^2*(x^17 -3*x^16 -35*x^15 + 110*x^14 + 468*x^13 -1573*x^12 -2977*x^11 + 11197*x^10 + 8880*x^9 -42041*x^8 -8213*x^7 + 80809*x^6 -11957*x^5 -70374*x^4 + 23710*x^3 + 20383*x^2 -9684*x + 592)^2;
T[478,5]=(x^4 + 7*x^3 + 10*x^2 -16*x -31)*(x^4 + 3*x^3 -2*x^2 -10*x -5)*(x^5 -3*x^4 -4*x^3 + 12*x^2 + 5*x -6)*(x^6 -5*x^5 -6*x^4 + 50*x^3 -33*x^2 -44*x + 28)*(x^3 + 4*x^2 + 3*x -1)^2*(x^17 -6*x^16 -44*x^15 + 311*x^14 + 647*x^13 -6439*x^12 -1715*x^11 + 66664*x^10 -47987*x^9 -345487*x^8 + 500506*x^7 + 707930*x^6 -1708498*x^5 + 168922*x^4 + 1466245*x^3 -775724*x^2 -64969*x + 43871)^2;
T[478,7]=(x^4 + 6*x^3 -8*x^2 -101*x -149)*(x^4 + 2*x^3 -8*x^2 -9*x + 13)*(x^5 -4*x^4 -2*x^3 + 21*x^2 -15*x -4)*(x^6 -26*x^4 + 5*x^3 + 71*x^2 -48*x + 8)*(x^17 -5*x^16 -77*x^15 + 393*x^14 + 2276*x^13 -12292*x^12 -31088*x^11 + 193664*x^10 + 166432*x^9 -1590464*x^8 + 251392*x^7 + 6211328*x^6 -5164544*x^5 -8086528*x^4 + 10784768*x^3 -540672*x^2 -1900544*x -262144)^2*(x + 1)^6;
T[478,11]=(x^4 + 3*x^3 -26*x^2 -46*x + 103)*(x^4 + 3*x^3 -30*x^2 -44*x + 179)*(x^6 -5*x^5 -18*x^4 + 130*x^3 -133*x^2 -200*x + 232)*(x^5 -5*x^4 -6*x^3 + 28*x^2 + 15*x -16)*(x^3 + x^2 -2*x -1)^2*(x^17 + x^16 -123*x^15 -202*x^14 + 6056*x^13 + 13619*x^12 -149697*x^11 -427543*x^10 + 1893660*x^9 + 6787983*x^8 -10803586*x^7 -53477248*x^6 + 15048164*x^5 + 195019206*x^4 + 50388863*x^3 -305552905*x^2 -115295798*x + 151629817)^2;
T[478,13]=(x^4 + 9*x^3 -5*x^2 -213*x -451)*(x^4 + 3*x^3 -17*x^2 + 11*x + 7)*(x^5 -x^4 -23*x^3 + 69*x^2 -57*x + 8)*(x^6 -3*x^5 -53*x^4 + 131*x^3 + 563*x^2 -334*x -1186)*(x^3 + 7*x^2 + 14*x + 7)^2*(x^17 -15*x^16 -30*x^15 + 1407*x^14 -3250*x^13 -47272*x^12 + 199728*x^11 + 647712*x^10 -4205376*x^9 -2052928*x^8 + 38764288*x^7 -25163008*x^6 -147311616*x^5 + 180070400*x^4 + 144123904*x^3 -224333824*x^2 + 9224192*x + 11583488)^2;
T[478,17]=(x^5 -8*x^4 -17*x^3 + 132*x^2 + 181*x -222)*(x^6 -26*x^5 + 235*x^4 -674*x^3 -1815*x^2 + 13320*x -18032)*(x^2 + 7*x + 5)^2*(x^2 + 7*x + 1)^2*(x^3 + 2*x^2 -x -1)^2*(x^17 -4*x^16 -152*x^15 + 591*x^14 + 8983*x^13 -33533*x^12 -263220*x^11 + 926590*x^10 + 4052487*x^9 -13043990*x^8 -32480912*x^7 + 90233331*x^6 + 129367089*x^5 -285355545*x^4 -226358836*x^3 + 405970976*x^2 + 133688896*x -207461296)^2;
T[478,19]=(x^4 + 16*x^3 + 55*x^2 -202*x -1021)*(x^4 -4*x^3 -x^2 + 10*x -1)*(x^5 -4*x^4 -5*x^3 + 16*x^2 + 5*x -10)*(x^6 + 10*x^5 + 9*x^4 -130*x^3 -249*x^2 + 412*x + 938)*(x^3 + 10*x^2 + 17*x -41)^2*(x^17 -24*x^16 + 79*x^15 + 2387*x^14 -20812*x^13 -45600*x^12 + 1079696*x^11 -1855152*x^10 -21557376*x^9 + 78598592*x^8 + 167344512*x^7 -1049447680*x^6 -134083584*x^5 + 5870931968*x^4 -3217784832*x^3 -12219383808*x^2 + 5990776832*x + 7399800832)^2;
T[478,23]=(x^4 + 5*x^3 -20*x^2 + 25)*(x^4 + 11*x^3 + 40*x^2 + 50*x + 7)*(x^5 -x^4 -50*x^3 + 20*x^2 + 451*x + 408)*(x^6 -7*x^5 -138*x^4 + 1002*x^3 + 4033*x^2 -34280*x + 38672)*(x^3 -3*x^2 -4*x + 13)^2*(x^17 + 9*x^16 -166*x^15 -1675*x^14 + 8334*x^13 + 108648*x^12 -76336*x^11 -2910240*x^10 -3644768*x^9 + 30197504*x^8 + 76211840*x^7 -65933568*x^6 -365522432*x^5 -230717440*x^4 + 385914880*x^3 + 617107456*x^2 + 299687936*x + 44744704)^2;
T[478,29]=(x^4 + 4*x^3 -14*x^2 -65*x -35)*(x^4 + 2*x^3 -32*x^2 -33*x + 211)*(x^5 + 4*x^4 -40*x^3 -37*x^2 + 65*x + 50)*(x^6 -12*x^5 + 42*x^4 + 3*x^3 -235*x^2 + 184*x + 268)*(x^3 -4*x^2 -67*x + 29)^2*(x^17 + 2*x^16 -318*x^15 -403*x^14 + 40629*x^13 + 19235*x^12 -2701703*x^11 + 764236*x^10 + 100075099*x^9 -91562821*x^8 -2046593758*x^7 + 2766604430*x^6 + 21789989174*x^5 -33927640430*x^4 -105602645079*x^3 + 155139854168*x^2 + 159446889949*x -117964056107)^2;
T[478,31]=(x^4 + 7*x^3 -36*x^2 -322*x -509)*(x^4 -7*x^3 -36*x^2 + 274*x -167)*(x^6 + 17*x^5 -36*x^4 -1858*x^3 -5743*x^2 + 40100*x + 179308)*(x^5 -5*x^4 -68*x^3 + 262*x^2 + 3*x -472)*(x^3 + 8*x^2 + 12*x -8)^2*(x^17 -28*x^16 + 163*x^15 + 2520*x^14 -38474*x^13 + 118728*x^12 + 940291*x^11 -7817764*x^10 + 8634002*x^9 + 101848444*x^8 -387364142*x^7 + 738880*x^6 + 2499741368*x^5 -4262952656*x^4 -1523610965*x^3 + 10170134456*x^2 -8804785252*x + 2326460584)^2;
T[478,37]=(x^4 + 6*x^3 -39*x^2 -28*x + 83)*(x^4 -8*x^3 -71*x^2 + 348*x + 361)*(x^5 + 4*x^4 -105*x^3 -502*x^2 + 955*x + 4556)*(x^6 + 6*x^5 -175*x^4 -758*x^3 + 9551*x^2 + 23720*x -157018)*(x^3 + 3*x^2 -18*x -27)^2*(x^17 -11*x^16 -228*x^15 + 2009*x^14 + 23392*x^13 -135688*x^12 -1296560*x^11 + 4200736*x^10 + 39889664*x^9 -56346816*x^8 -657221888*x^7 + 166509824*x^6 + 5254270976*x^5 + 1578812416*x^4 -17874927616*x^3 -5820583936*x^2 + 22415851520*x + 491454464)^2;
T[478,41]=(x^4 + 17*x^3 + 50*x^2 -200*x -763)*(x^4 -x^3 -70*x^2 -158*x + 89)*(x^6 -17*x^5 -38*x^4 + 1780*x^3 -5645*x^2 -19188*x + 54756)*(x^5 + 7*x^4 -24*x^3 -106*x^2 + 343*x -194)*(x^3 + 4*x^2 -81*x -421)^2*(x^17 -20*x^16 -161*x^15 + 5229*x^14 -494*x^13 -513604*x^12 + 1360800*x^11 + 23772464*x^10 -88828832*x^9 -534217984*x^8 + 2168443776*x^7 + 5627808256*x^6 -19639664128*x^5 -32843495424*x^4 + 62529579008*x^3 + 85114331136*x^2 -52417683456*x -65418838016)^2;
T[478,43]=(x^4 -160*x^2 + 225*x + 3475)*(x^4 + 8*x^3 -56*x^2 + 31*x + 107)*(x^6 -4*x^5 -32*x^4 + 27*x^3 + 165*x^2 + 22*x -22)*(x^5 + 2*x^4 -98*x^3 -47*x^2 + 383*x + 146)*(x^3 -5*x^2 + 6*x -1)^2*(x^17 + 9*x^16 -320*x^15 -3125*x^14 + 39220*x^13 + 432332*x^12 -2227584*x^11 -30453536*x^10 + 49358464*x^9 + 1150844992*x^8 + 470870144*x^7 -21983748864*x^6 -38491359744*x^5 + 158549216256*x^4 + 463332448256*x^3 + 200707547136*x^2 -69611462656*x -36073422848)^2;
T[478,47]=(x^4 + 7*x^3 -117*x^2 -493*x + 961)*(x^4 + 11*x^3 -83*x^2 -1395*x -4325)*(x^6 -29*x^5 + 177*x^4 + 1851*x^3 -22207*x^2 + 31088*x + 188792)*(x^5 -13*x^4 + 15*x^3 + 221*x^2 -197*x -108)*(x^3 -2*x^2 -71*x + 113)^2*(x^17 + 18*x^16 -215*x^15 -5309*x^14 + 4762*x^13 + 531508*x^12 + 1396648*x^11 -22658656*x^10 -106621920*x^9 + 379113216*x^8 + 2822249344*x^7 -523226624*x^6 -28413413888*x^5 -30316536832*x^4 + 100526370816*x^3 + 169164386304*x^2 -71265517568*x -170160357376)^2;
T[478,53]=(x^4 + 20*x^3 + 96*x^2 -11*x -431)*(x^4 -110*x^2 + 375*x + 275)*(x^5 -162*x^3 -369*x^2 + 4413*x + 14276)*(x^6 -20*x^5 + 78*x^4 + 437*x^3 -1485*x^2 -6182*x -5038)*(x^3 -14*x^2 + 49*x -7)^2*(x^17 + 12*x^16 -411*x^15 -5055*x^14 + 62084*x^13 + 802128*x^12 -4269112*x^11 -60487120*x^10 + 133665504*x^9 + 2254024384*x^8 -1726466944*x^7 -40222431232*x^6 + 6610594816*x^5 + 307558466560*x^4 + 24783900672*x^3 -834801287168*x^2 + 316866560*x + 527283519488)^2;
T[478,59]=(x^4 -109*x^2 + 90*x + 1879)*(x^4 + 8*x^3 -101*x^2 -1106*x -2617)*(x^6 + 4*x^5 -141*x^4 -572*x^3 + 4039*x^2 + 10352*x -39326)*(x^5 + 2*x^4 -179*x^3 -202*x^2 + 7665*x + 5470)*(x^3 -7*x^2 + 7)^2*(x^17 -x^16 -500*x^15 + 843*x^14 + 98100*x^13 -190808*x^12 -9843704*x^11 + 17863552*x^10 + 556963584*x^9 -758621632*x^8 -18449862400*x^7 + 12804441600*x^6 + 352772897280*x^5 + 21410101248*x^4 -3558175051776*x^3 -2750319464448*x^2 + 14248361918464*x + 19084961644544)^2;
T[478,61]=(x^4 -x^3 -92*x^2 + 28*x + 1973)*(x^4 -9*x^3 -198*x^2 + 1504*x + 5231)*(x^5 + x^4 -148*x^3 -304*x^2 + 2795*x + 3242)*(x^6 + 7*x^5 -148*x^4 -852*x^3 + 5817*x^2 + 25860*x -31028)*(x^3 + 10*x^2 -88*x -776)^2*(x^17 -24*x^16 -79*x^15 + 5442*x^14 -15038*x^13 -453008*x^12 + 2117498*x^11 + 17974572*x^10 -101816867*x^9 -347174032*x^8 + 2310209445*x^7 + 2481600130*x^6 -25199734720*x^5 + 7995198056*x^4 + 106557228880*x^3 -129393161888*x^2 -24800619392*x + 58961351552)^2;
T[478,67]=(x^4 + 14*x^3 -95*x^2 -1708*x -3401)*(x^4 -8*x^3 -41*x^2 + 286*x + 283)*(x^5 + 14*x^4 -39*x^3 -528*x^2 -61*x + 1116)*(x^6 + 12*x^5 -145*x^4 -2290*x^3 -5705*x^2 + 9224*x + 29296)*(x^3 -8*x^2 -51*x + 29)^2*(x^17 -16*x^16 -472*x^15 + 8229*x^14 + 67257*x^13 -1444485*x^12 -2167240*x^11 + 100289634*x^10 -104716797*x^9 -2653566154*x^8 + 3962964864*x^7 + 29214612841*x^6 -34017276029*x^5 -101830715089*x^4 + 117268359136*x^3 + 41951832128*x^2 -38658688000*x -11993903104)^2;
T[478,71]=(x^4 -9*x^3 -156*x^2 + 920*x + 5915)*(x^4 -3*x^3 -60*x^2 + 134*x + 569)*(x^5 -15*x^4 + 36*x^3 + 298*x^2 -1339*x + 1416)*(x^6 + 31*x^5 + 156*x^4 -3600*x^3 -41337*x^2 -76340*x + 308212)*(x^3 -49*x -91)^2*(x^17 -12*x^16 -502*x^15 + 4881*x^14 + 111699*x^13 -784533*x^12 -14012615*x^11 + 61570898*x^10 + 1044641799*x^9 -2292958505*x^8 -45361051067*x^7 + 26773856050*x^6 + 1068087411894*x^5 + 405386579543*x^4 -12037087655969*x^3 -9121864973643*x^2 + 49772205598296*x + 30800934780608)^2;
T[478,73]=(x^4 -19*x^3 -15*x^2 + 1753*x -7451)*(x^4 + 7*x^3 -x^2 -79*x -107)*(x^5 + 11*x^4 -123*x^3 -1139*x^2 + 2305*x -1054)*(x^6 -9*x^5 -263*x^4 + 2663*x^3 + 11171*x^2 -160264*x + 315884)*(x^3 + 16*x^2 + 27*x -127)^2*(x^17 -30*x^16 -73*x^15 + 8869*x^14 -41648*x^13 -710604*x^12 + 4294088*x^11 + 23853024*x^10 -139411072*x^9 -413644736*x^8 + 1815461376*x^7 + 3804327168*x^6 -9084362752*x^5 -14055530496*x^4 + 15965069312*x^3 + 14912864256*x^2 -5545435136*x -552452096)^2;
T[478,79]=(x^4 -11*x^3 -131*x^2 + 1775*x -4801)*(x^4 -15*x^3 + 29*x^2 + 165*x + 89)*(x^5 + x^4 -237*x^3 -1261*x^2 -65*x + 40)*(x^6 + 13*x^5 -77*x^4 -483*x^3 + 1789*x^2 + 2448*x -5184)*(x^3 + 2*x^2 -64*x + 104)^2*(x^17 + 10*x^16 -624*x^15 -7568*x^14 + 130416*x^13 + 1968736*x^12 -9545728*x^11 -220668416*x^10 -55051008*x^9 + 10432968704*x^8 + 27377273856*x^7 -173581430784*x^6 -667393114112*x^5 + 584358608896*x^4 + 3341205667840*x^3 + 783985672192*x^2 -3167862128640*x -1721480118272)^2;
T[478,83]=(x^4 + 34*x^3 + 380*x^2 + 1547*x + 2009)*(x^4 + 6*x^3 -122*x^2 -393*x + 3413)*(x^5 -10*x^4 -116*x^3 + 699*x^2 + 1481*x -8128)*(x^6 -22*x^5 -10*x^4 + 1951*x^3 -779*x^2 -47232*x -87272)*(x^3 -84*x -56)^2*(x^17 + 16*x^16 -485*x^15 -9132*x^14 + 66874*x^13 + 1819116*x^12 -667869*x^11 -160847696*x^10 -492130250*x^9 + 6229269412*x^8 + 36464811486*x^7 -62151285660*x^6 -899123761152*x^5 -1573937038232*x^4 + 4827724743967*x^3 + 22466737725124*x^2 + 31956807913252*x + 16034570219864)^2;
T[478,89]=(x^4 -4*x^3 -167*x^2 + 52*x + 749)*(x^4 + 10*x^3 -189*x^2 -750*x + 6569)*(x^5 + 4*x^4 -187*x^3 -574*x^2 + 6035*x + 7610)*(x^6 + 8*x^5 -169*x^4 -1182*x^3 + 8423*x^2 + 43332*x -103124)*(x^3 + 29*x^2 + 215*x + 83)^2*(x^17 -65*x^16 + 1405*x^15 -3987*x^14 -292854*x^13 + 4186196*x^12 -6758256*x^11 -254693792*x^10 + 1535500000*x^9 + 4407249984*x^8 -54115337088*x^7 + 5998902272*x^6 + 784484703232*x^5 -589404695552*x^4 -5178784634880*x^3 + 2096476672000*x^2 + 12748941312000*x + 6261514240000)^2;
T[478,97]=(x^4 -13*x^3 + 28*x^2 + 102*x -149)*(x^4 + 11*x^3 -54*x^2 -206*x -149)*(x^5 + 19*x^4 -22*x^3 -1852*x^2 -9071*x -10942)*(x^6 + 21*x^5 -186*x^4 -7060*x^3 -49899*x^2 -88356*x + 7772)*(x^3 + 23*x^2 + 90*x + 97)^2*(x^17 -87*x^16 + 2766*x^15 -29283*x^14 -354762*x^13 + 11187916*x^12 -54847560*x^11 -891967104*x^10 + 9942474080*x^9 + 13850972480*x^8 -536421150592*x^7 + 1004676712960*x^6 + 11759087050240*x^5 -41718091262976*x^4 -70809334319104*x^3 + 445102724706304*x^2 -489372455059456*x + 111392870170624)^2;

T[479,2]=(x^8 + 2*x^7 -6*x^6 -11*x^5 + 10*x^4 + 17*x^3 -4*x^2 -7*x -1)*(x^32 -3*x^31 -49*x^30 + 150*x^29 + 1068*x^28 -3349*x^27 -13663*x^26 + 44102*x^25 + 114017*x^24 -381227*x^23 -652363*x^22 + 2278423*x^21 + 2617329*x^20 -9659993*x^19 -7391907*x^18 + 29333039*x^17 + 14485613*x^16 -63589225*x^15 -18892591*x^14 + 96842403*x^13 + 14744217*x^12 -100301909*x^11 -4507611*x^10 + 66698107*x^9 -2210691*x^8 -25684834*x^7 + 2153748*x^6 + 4689118*x^5 -470371*x^4 -268239*x^3 + 38414*x^2 -242*x -7);
T[479,3]=(x^8 + 3*x^7 -4*x^6 -15*x^5 + x^4 + 16*x^3 + 2*x^2 -4*x -1)*(x^32 -5*x^31 -63*x^30 + 344*x^29 + 1704*x^28 -10494*x^27 -25595*x^26 + 187357*x^25 + 227445*x^24 -2177843*x^23 -1114189*x^22 + 17365061*x^21 + 1360454*x^20 -97608556*x^19 + 18763008*x^18 + 392002532*x^17 -137548311*x^16 -1129433662*x^15 + 478309511*x^14 + 2325377139*x^13 -985918389*x^12 -3375402978*x^11 + 1221010481*x^10 + 3357623855*x^9 -830495510*x^8 -2164167195*x^7 + 208967933*x^6 + 805018305*x^5 + 56962584*x^4 -128835824*x^3 -31102484*x^2 -398028*x + 139187);
T[479,5]=(x^8 + 4*x^7 -2*x^6 -24*x^5 -21*x^4 + 17*x^3 + 27*x^2 + 10*x + 1)*(x^32 -6*x^31 -99*x^30 + 650*x^29 + 4176*x^28 -31187*x^27 -95978*x^26 + 874153*x^25 + 1230170*x^24 -15896279*x^23 -6371926*x^22 + 196883940*x^21 -55851768*x^20 -1695138243*x^19 + 1356000015*x^18 + 10151496640*x^17 -12573160105*x^16 -41443199854*x^15 + 69699610005*x^14 + 109264004022*x^13 -248513470559*x^12 -160056140840*x^11 + 570181911365*x^10 + 46587939531*x^9 -809089270013*x^8 + 237355977983*x^7 + 650249928390*x^6 -376623575384*x^5 -241458556798*x^4 + 219821395723*x^3 + 12651006597*x^2 -45139203778*x + 9151995329);
T[479,7]=(x^8 + 4*x^7 -6*x^6 -44*x^5 -49*x^4 + 19*x^3 + 49*x^2 + 14*x -1)*(x^32 -8*x^31 -125*x^30 + 1172*x^29 + 6124*x^28 -74777*x^27 -127164*x^26 + 2715765*x^25 -396922*x^24 -61390141*x^23 + 85340794*x^22 + 880387964*x^21 -2177495446*x^20 -7632833373*x^19 + 29456135743*x^18 + 31292238770*x^17 -236954544803*x^16 + 58898064532*x^15 + 1100884700503*x^14 -1315047166956*x^13 -2445524896771*x^12 + 5854903619054*x^11 + 191611506123*x^10 -10294527175039*x^9 + 7720989332953*x^8 + 4916583932917*x^7 -8596797576802*x^6 + 1645938589520*x^5 + 2700693624016*x^4 -1440448082017*x^3 -49317177497*x^2 + 159770207746*x -23508342337);
T[479,11]=(x^8 + 5*x^7 -11*x^6 -84*x^5 -112*x^4 -43*x^3 + 7*x^2 + 7*x + 1)*(x^32 -11*x^31 -170*x^30 + 2265*x^29 + 10788*x^28 -202568*x^27 -225464*x^26 + 10290626*x^25 -8512681*x^24 -325230593*x^23 + 705680039*x^22 + 6543689371*x^21 -22177538499*x^20 -80731840869*x^19 + 404699138729*x^18 + 502086529171*x^17 -4606709368897*x^16 + 545099209698*x^15 + 32350430642653*x^14 -34722746983061*x^13 -128353862486880*x^12 + 258847478402279*x^11 + 203773531088353*x^10 -868283210528113*x^9 + 261837256912342*x^8 + 1229973469625787*x^7 -1201747716097153*x^6 -291619684645047*x^5 + 859061505759179*x^4 -253385721770497*x^3 -141315750945463*x^2 + 88787782173691*x -12184098128923);
T[479,13]=(x^8 + 9*x^7 + 23*x^6 -10*x^5 -116*x^4 -107*x^3 + 99*x^2 + 177*x + 61)*(x^32 -13*x^31 -207*x^30 + 3306*x^29 + 16128*x^28 -368777*x^27 -429085*x^26 + 23712447*x^25 -17477467*x^24 -971341690*x^23 + 1881302792*x^22 + 26443688640*x^21 -74652373648*x^20 -484433337312*x^19 + 1739050092352*x^18 + 5919946586624*x^17 -25974846256640*x^16 -46921286472704*x^15 + 254028258181120*x^14 + 229645967859712*x^13 -1621563037339648*x^12 -642474047692800*x^11 + 6660436956053504*x^10 + 877802533945344*x^9 -17084262354649088*x^8 -307470387642368*x^7 + 25775286115368960*x^6 -470173925507072*x^5 -20398713754091520*x^4 + 1055820137627648*x^3 + 6892854760701952*x^2 -698012942729216*x -415848749596672);
T[479,17]=(x^8 + 4*x^7 -32*x^6 -52*x^5 + 161*x^4 + 245*x^3 -53*x^2 -132*x -29)*(x^32 -358*x^30 -56*x^29 + 57065*x^28 + 18781*x^27 -5341705*x^26 -2758014*x^25 + 326052829*x^24 + 233079290*x^23 -13622420620*x^22 -12533185760*x^21 + 397711451472*x^20 + 447762915168*x^19 -8133050720512*x^18 -10778709809536*x^17 + 114959977458944*x^16 + 173733998602752*x^15 -1090087143916544*x^14 -1829159559561216*x^13 + 6588419563921408*x^12 + 12022468857888768*x^11 -23336253107519488*x^10 -45844953105432576*x^9 + 41649531618263040*x^8 + 89145221816778752*x^7 -28197968593289216*x^6 -69568771073769472*x^5 + 11538340459315200*x^4 + 21553692337504256*x^3 -3254157276348416*x^2 -1627544428216320*x + 79762290638848);
T[479,19]=(x^8 + 11*x^7 + 7*x^6 -315*x^5 -1219*x^4 -376*x^3 + 5190*x^2 + 8849*x + 4129)*(x^32 -19*x^31 -209*x^30 + 5829*x^29 + 10595*x^28 -782036*x^27 + 1001990*x^26 + 60636195*x^25 -174423963*x^24 -3028193026*x^23 + 11753923076*x^22 + 102975194224*x^21 -472508779056*x^20 -2467514695296*x^19 + 12563760743040*x^18 + 42813118101120*x^17 -229962355745792*x^16 -553590922455040*x^15 + 2940447468678144*x^14 + 5506253030215680*x^13 -26215620259573760*x^12 -43000668130263040*x^11 + 159622165102788608*x^10 + 259232943724134400*x^9 -629795266371321856*x^8 -1126965442131525632*x^7 + 1423585445063163904*x^6 + 3144811024655843328*x^5 -1249524888523243520*x^4 -4708443145409396736*x^3 -710473437344169984*x^2 + 2773239110893043712*x + 1329301193784033280);
T[479,23]=(x^8 -44*x^6 + 45*x^5 + 422*x^4 -553*x^3 -597*x^2 + 476*x + 17)*(x^32 -447*x^30 + 141*x^29 + 89185*x^28 -53708*x^27 -10487761*x^26 + 8982758*x^25 + 809015303*x^24 -869644893*x^23 -43147672746*x^22 + 54145212883*x^21 + 1635534880759*x^20 -2281220707713*x^19 -44654211705471*x^18 + 66754860618928*x^17 + 881363686358675*x^16 -1373495858925892*x^15 -12518532213808509*x^14 + 19932122064739186*x^13 + 126215590710222557*x^12 -203067931807204399*x^11 -879795202503508122*x^10 + 1432765039228153646*x^9 + 4043762946034571718*x^8 -6811812078525392935*x^7 -11200505738778845726*x^6 + 20674857303003512983*x^5 + 15058201264074598157*x^4 -35669747075282457837*x^3 -1834170849134295395*x^2 + 25833513178951302552*x -10535953585682948579);
T[479,29]=(x^8 + 9*x^7 -42*x^6 -573*x^5 -291*x^4 + 9974*x^3 + 22208*x^2 -27110*x -84029)*(x^32 -21*x^31 -354*x^30 + 9427*x^29 + 50683*x^28 -1897808*x^27 -3620850*x^26 + 227396420*x^25 + 117870853*x^24 -18101676394*x^23 -298483912*x^22 + 1008654099960*x^21 -13068418528*x^20 -40235880808224*x^19 -9108975416064*x^18 + 1151360261789696*x^17 + 701123949988096*x^16 -23270947824618496*x^15 -24475005054837760*x^14 + 321161533583585280*x^13 + 484372900892676096*x^12 -2854053471343788032*x^11 -5641213191238238208*x^10 + 14689844241386110976*x^9 + 37415878411411980288*x^8 -34010693029402378240*x^7 -128241528337222860800*x^6 -535282803586629632*x^5 + 186657196942336983040*x^4 + 85000320746231169024*x^3 -84653255117082984448*x^2 -67690559469801963520*x -12239037419449483264);
T[479,31]=(x^8 + 19*x^7 + 62*x^6 -558*x^5 -3327*x^4 -2703*x^3 + 9469*x^2 + 12593*x + 127)*(x^32 -37*x^31 + 114*x^30 + 11750*x^29 -134951*x^28 -1230299*x^27 + 26990283*x^26 + 6829971*x^25 -2581275477*x^24 + 9403577726*x^23 + 134297773712*x^22 -918194410080*x^21 -3513501836080*x^20 + 43574869824992*x^19 + 12123756245696*x^18 -1185966468920832*x^17 + 1977987012089088*x^16 + 18547524430881792*x^15 -59143681620864000*x^14 -149450655723642880*x^13 + 783924985903489024*x^12 + 365406278135267328*x^11 -5302602721329119232*x^10 + 2093565377918107648*x^9 + 18397815559182417920*x^8 -12945471627323244544*x^7 -31964283135233884160*x^6 + 19122138105992708096*x^5 + 25748578958278918144*x^4 -4697024578659024896*x^3 -3165880400778100736*x^2 + 359477553901076480*x + 47721020596944896);
T[479,37]=(x^8 + 21*x^7 + 144*x^6 + 258*x^5 -846*x^4 -2858*x^3 + 319*x^2 + 4221*x -1307)*(x^32 -49*x^31 + 512*x^30 + 12818*x^29 -309124*x^28 -34858*x^27 + 56234403*x^26 -363771997*x^25 -4689409669*x^24 + 59394661596*x^23 + 135215937600*x^22 -4731151389128*x^21 + 8123795694320*x^20 + 217768918083008*x^19 -956132286472064*x^18 -5771867924566144*x^17 + 43155295567195392*x^16 + 71418336078671872*x^15 -1111055918811359232*x^14 + 299141487654090752*x^13 + 17527811451891040256*x^12 -22959677203397599232*x^11 -173368677108841857024*x^10 + 323246897491863830528*x^9 + 1111305392978220810240*x^8 -2224749195640369971200*x^7 -4779369978646346596352*x^6 + 7880563856358820544512*x^5 + 13363671114701845037056*x^4 -12215493350916710465536*x^3 -19142633736873896312832*x^2 + 5708355802943599935488*x + 9107807098185113927680);
T[479,41]=(x^8 + 16*x^7 + 24*x^6 -383*x^5 -467*x^4 + 2399*x^3 + 1470*x^2 -3158*x + 619)*(x^32 -28*x^31 -368*x^30 + 17523*x^29 -16245*x^28 -4384425*x^27 + 28969956*x^26 + 541875648*x^25 -6235936539*x^24 -29922798978*x^23 + 654116433032*x^22 -246139468264*x^21 -37971567956752*x^20 + 132603210544608*x^19 + 1167064003981952*x^18 -7803310024172928*x^17 -12386763902066688*x^16 + 212545486744543744*x^15 -264073347412220928*x^14 -2683605523745712128*x^13 + 8777106609994551296*x^12 + 9131479272436203520*x^11 -81054666270550573056*x^10 + 71823634357387231232*x^9 + 255213355490209824768*x^8 -533815637301808594944*x^7 -89743507718990725120*x^6 + 1076973151397965987840*x^5 -756773094505716908032*x^4 -488911713191782776832*x^3 + 844750489520634331136*x^2 -354181687618062778368*x + 40455051386910932992);
T[479,43]=(x^8 + 9*x^7 -103*x^6 -465*x^5 + 4053*x^4 -560*x^3 -37283*x^2 + 76310*x -44525)*(x^32 -x^31 -773*x^30 + 1677*x^29 + 257523*x^28 -877276*x^27 -48050657*x^26 + 227807890*x^25 + 5428621593*x^24 -34119664446*x^23 -369368585820*x^22 + 3109056161752*x^21 + 13419670577920*x^20 -172266257781024*x^19 -105445966203072*x^18 + 5498830791504256*x^17 -9903943926256384*x^16 -86763748096253952*x^15 + 341503476237808640*x^14 + 355137633702412288*x^13 -3833662786673512448*x^12 + 4327552798168899584*x^11 + 11160593171238764544*x^10 -24519562421579448320*x^9 -8895117029675237376*x^8 + 45043562116839636992*x^7 + 116493419892965376*x^6 -39337452035234070528*x^5 -3247595586330820608*x^4 + 15446884034214363136*x^3 + 5543668568064786432*x^2 + 289397803182981120*x -11840084470923264);
T[479,47]=(x^8 -3*x^7 -103*x^6 + 94*x^5 + 2304*x^4 -2458*x^3 -11124*x^2 + 16761*x -5371)*(x^32 + 17*x^31 -713*x^30 -13390*x^29 + 218938*x^28 + 4691598*x^27 -37918734*x^26 -973957203*x^25 + 4011469433*x^24 + 134260273798*x^23 -251613249736*x^22 -13029969654192*x^21 + 6453806400688*x^20 + 919688340251328*x^19 + 347412654936448*x^18 -48030851362181504*x^17 -44294037020728064*x^16 + 1867777479118056448*x^15 + 2307849614146091008*x^14 -53909536059237130240*x^13 -74289923698046828544*x^12 + 1139578000070937329664*x^11 + 1585932813236335968256*x^10 -17183647425051260747776*x^9 -22520736647331079061504*x^8 + 176536069956753389125632*x^7 + 205595589269316050354176*x^6 -1139971300138570111516672*x^5 -1114006626672066524348416*x^4 + 3956202887891942520127488*x^3 + 2968361408994185282846720*x^2 -4955674338235510937354240*x -1913320287876267798167552);
T[479,53]=(x^8 -7*x^7 -166*x^6 + 1114*x^5 + 7146*x^4 -41697*x^3 -101977*x^2 + 371164*x + 395443)*(x^32 + 3*x^31 -928*x^30 -1966*x^29 + 376776*x^28 + 464631*x^27 -88110381*x^26 -33234828*x^25 + 13149752957*x^24 -5502242038*x^23 -1312315403788*x^22 + 1483214973304*x^21 + 89371367813552*x^20 -156153078176576*x^19 -4171209858585472*x^18 + 9484332821026560*x^17 + 132256355544482304*x^16 -360847450420263936*x^15 -2781973698356327424*x^14 + 8750895991549843456*x^13 + 37056757845293830144*x^12 -133049472341963317248*x^11 -285331194112787693568*x^10 + 1205725875338576560128*x^9 + 1028022446216893104128*x^8 -5884221124644040998912*x^7 -682095760092333604864*x^6 + 12940132261049043779584*x^5 -856469051969458143232*x^4 -13036047635591643267072*x^3 -318284743294918328320*x^2 + 5156280370706308399104*x + 1193480420879377629184);
T[479,59]=(x^32 + 8*x^31 -995*x^30 -8816*x^29 + 427999*x^28 + 4205206*x^27 -103952513*x^26 -1145284534*x^25 + 15566057531*x^24 + 197608483396*x^23 -1457979592012*x^22 -22637428491112*x^21 + 79684441232736*x^20 + 1752632180804352*x^19 -1634184532062912*x^18 -91400643851427584*x^17 -85306938575672576*x^16 + 3129878379571203584*x^15 + 7573229511842284544*x^14 -66253417459308027904*x^13 -256011382580053147648*x^12 + 745968542194135883776*x^11 + 4552294258559453511680*x^10 -2016412816334207418368*x^9 -41764300075624125890560*x^8 -38556850798298597818368*x^7 + 160144045359985730781184*x^6 + 317369498076147914637312*x^5 -48380087199050447716352*x^4 -536106185454963868565504*x^3 -437075082623524003643392*x^2 -96056952503755991941120*x + 8469592787372711346176)*(x^8 -6*x^7 -141*x^6 + 656*x^5 + 5537*x^4 -24736*x^3 -51749*x^2 + 331394*x -360863);
T[479,61]=(x^8 + 14*x^7 -44*x^6 -864*x^5 + 1061*x^4 + 13912*x^3 -21756*x^2 -1534*x + 9113)*(x^32 -36*x^31 -233*x^30 + 22252*x^29 -103100*x^28 -5588922*x^27 + 53941485*x^26 + 709137776*x^25 -10452346799*x^24 -42149497838*x^23 + 1109088279329*x^22 -37336941032*x^21 -69898793196540*x^20 + 171468956474720*x^19 + 2612484187324114*x^18 -11248841803707506*x^17 -54173884566765781*x^16 + 347191093027660774*x^15 + 508314765437220881*x^14 -5742671115941943380*x^13 -20805120859092261*x^12 + 53324863586444709640*x^11 -39621833739045103885*x^10 -274739957701352100602*x^9 + 326936878353881175816*x^8 + 700277153362300462542*x^7 -1119684760374040068585*x^6 -511025758061700495932*x^5 + 1526554247036032429102*x^4 -588810307257987110994*x^3 -185788220714945496762*x^2 + 132213477131182210962*x -14884245442978792955);
T[479,67]=(x^8 + 3*x^7 -162*x^6 -382*x^5 + 7338*x^4 + 9150*x^3 -120503*x^2 -23747*x + 473441)*(x^32 -19*x^31 -1078*x^30 + 22770*x^29 + 483888*x^28 -11933662*x^27 -113373181*x^26 + 3594053943*x^25 + 13196252105*x^24 -687745294546*x^23 -134045757952*x^22 + 87381985582008*x^21 -186420438414960*x^20 -7495733710479200*x^19 + 28872194633786624*x^18 + 434148034864065024*x^17 -2287925205600782848*x^16 -16775367725828674048*x^15 + 111227322117966898176*x^14 + 422467786402770847744*x^13 -3466000493174704009216*x^12 -6693363396740013744128*x^11 + 69541658743424917749760*x^10 + 64102261937005941489664*x^9 -880626268249831153729536*x^8 -383543019648672813285376*x^7 + 6694375651127347231064064*x^6 + 2032282806501553668096000*x^5 -27374548549052757000060928*x^4 -10756552073578759222984704*x^3 + 45409830413640019143032832*x^2 + 22664946277249645212073984*x -9473598687827623959068672);
T[479,71]=(x^8 -x^7 -159*x^6 + 173*x^5 + 5793*x^4 -12098*x^3 -44432*x^2 + 130593*x -67043)*(x^32 -13*x^31 -1130*x^30 + 14512*x^29 + 567205*x^28 -7201864*x^27 -167027646*x^26 + 2096947816*x^25 + 32128466799*x^24 -398363187348*x^23 -4259277079464*x^22 + 51984648140976*x^21 + 400912267256980*x^20 -4783118118618204*x^19 -27267559791209230*x^18 + 313894248296424893*x^17 + 1354735041206717171*x^16 -14712810905677377658*x^15 -49489519608313716135*x^14 + 488924387754903350635*x^13 + 1330961542971909841342*x^12 -11320904975062244894198*x^11 -26113537162395593815750*x^10 + 176885627229730525484507*x^9 + 363195197390307769107830*x^8 -1758875528822697133217210*x^7 -3364764822694428396564650*x^6 + 9899060514280830325372498*x^5 + 18347519170376016974523622*x^4 -23254996531263679593039080*x^3 -44364581118689891083334458*x^2 -2588015007564629242005043*x + 11449481834559980062389457);
T[479,73]=(x^32 -58*x^31 + 414*x^30 + 39963*x^29 -886828*x^28 -6071172*x^27 + 379259075*x^26 -2120043838*x^25 -67888526376*x^24 + 968862645117*x^23 + 3356532166206*x^22 -154184126554113*x^21 + 662229956162779*x^20 + 10604920448883269*x^19 -118525814300570418*x^18 -49285759578745122*x^17 + 7219869044291228711*x^16 -35522592332489189698*x^15 -120835940448425734049*x^14 + 1792494677922812260260*x^13 -4594075102589825309360*x^12 -21804658307586582013483*x^11 + 165940566020692440759521*x^10 -245039029992444000536700*x^9 -1207463259220608044082727*x^8 + 5796034426792756755496287*x^7 -6403515370308766989186320*x^6 -17245529398519547574776567*x^5 + 66146278536285658079749455*x^4 -89275733566376972621409403*x^3 + 51736461427471721648130220*x^2 -5912848155082437294146482*x -3494996085273321725027555)*(x^8 + 20*x^7 + 99*x^6 -233*x^5 -2614*x^4 -3713*x^3 + 6870*x^2 + 16286*x + 5917);
T[479,79]=(x^8 + 12*x^7 -283*x^6 -3591*x^5 + 19744*x^4 + 329554*x^3 + 137259*x^2 -8096748*x -20799637)*(x^32 -48*x^31 -33*x^30 + 36433*x^29 -422720*x^28 -10421680*x^27 + 216331679*x^26 + 1101889412*x^25 -51027998095*x^24 + 91830349308*x^23 + 6768527239268*x^22 -41319844867368*x^21 -508629681557712*x^20 + 5444788879392800*x^19 + 17206636687050560*x^18 -386951713824875136*x^17 + 317004181193427712*x^16 + 15671418343654166016*x^15 -53995831820189234176*x^14 -325837884262569271296*x^13 + 2095202615088526630912*x^12 + 1648909853505231446016*x^11 -36330775261087366889472*x^10 + 53356809178623122538496*x^9 + 235183156362804852162560*x^8 -790352556994571744444416*x^7 + 241770963558868725792768*x^6 + 1979252724329690932707328*x^5 -2840483330567539524632576*x^4 + 721931460807908699144192*x^3 + 996533711115838178721792*x^2 -656346489152053773860864*x + 91497954473056611074048);
T[479,83]=(x^8 -10*x^7 -102*x^6 + 844*x^5 + 4453*x^4 -17083*x^3 -89357*x^2 -60230*x + 63475)*(x^32 + 44*x^31 -220*x^30 -36262*x^29 -286965*x^28 + 11907903*x^27 + 179220955*x^26 -1813948896*x^25 -47029554915*x^24 + 63199061090*x^23 + 6910355218672*x^22 + 22377399211552*x^21 -597067391103056*x^20 -4104519476900672*x^19 + 28033659064346496*x^18 + 338605298216004736*x^17 -374208203429537280*x^16 -15614950527232464896*x^15 -29736814815418987520*x^14 + 396075061983358429184*x^13 + 1743273744402679582720*x^12 -4247261026279225237504*x^11 -40079824121194714742784*x^10 -25309524170994713985024*x^9 + 413546342466684208873472*x^8 + 1041442076292482459238400*x^7 -1074328534627714842230784*x^6 -7661265048628451559866368*x^5 -8099841973819005966745600*x^4 + 10342126571610450430001152*x^3 + 30753136468812673266483200*x^2 + 25847624044052164982603776*x + 7577406478991147357175808);
T[479,89]=(x^8 + x^7 -373*x^6 -1710*x^5 + 39948*x^4 + 313561*x^3 -473899*x^2 -9443597*x -20951779)*(x^32 -49*x^31 -240*x^30 + 49165*x^29 -480138*x^28 -18924246*x^27 + 349726300*x^26 + 3095101742*x^25 -107548634613*x^24 + 5834902607*x^23 + 18352415407875*x^22 -89086410020625*x^21 -1833833669429917*x^20 + 16330827562369173*x^19 + 101203417421608521*x^18 -1527316633844487339*x^17 -1939301718821536999*x^16 + 85991272860605619372*x^15 -108379433722069666913*x^14 -3049719239941225114529*x^13 + 8772187073125649177658*x^12 + 68878180194595395201141*x^11 -284442893279111383475859*x^10 -982724246833132363619899*x^9 + 5214159922842751757763752*x^8 + 8668785208901426093427091*x^7 -56865286250689209585570423*x^6 -46029227255306047224128973*x^5 + 358355144322881010172186369*x^4 + 142636823386142075012682053*x^3 -1166929261015993784731906797*x^2 -222779103411859089168117005*x + 1427737889312282911217593301);
T[479,97]=(x^8 + 21*x^7 + 28*x^6 -2247*x^5 -22074*x^4 -92425*x^3 -196466*x^2 -205244*x -82043)*(x^32 -81*x^31 + 1885*x^30 + 18878*x^29 -1498131*x^28 + 15644433*x^27 + 288901858*x^26 -7078358194*x^25 + 4134007964*x^24 + 1154986034296*x^23 -8335145076856*x^22 -83160896307032*x^21 + 1234169663693506*x^20 + 874269806873785*x^19 -86658023867359944*x^18 + 281713838583952542*x^17 + 3115960997595391982*x^16 -20980579318084366412*x^15 -41575327184014045752*x^14 + 679135125147691841200*x^13 -716151053066151689272*x^12 -10674565062632739354019*x^11 + 31445938426673079527354*x^10 + 66105380995064477401894*x^9 -376100489669375137943503*x^8 + 32122270254334187143533*x^7 + 1866213104576042114710221*x^6 -1653500390406400704556222*x^5 -3861747964953013257423111*x^4 + 4573196441119709419421664*x^3 + 2885171082642373378752120*x^2 -2440402906905122986660704*x -1180013042491357555927984);

T[480,2]=(x + 1)*(x^2 + x + 2)*(x )^78;
T[480,3]=(x^4 -2*x^2 + 9)*(x^2 -2*x + 3)^3*(x^2 + 2*x + 3)^5*(x^2 + 3)^7*(x -1)^23*(x + 1)^24;
T[480,5]=(x^2 -2*x + 5)^2*(x^2 + 2*x + 5)^7*(x -1)^31*(x + 1)^32;
T[480,7]=(x^2 -8)^2*(x + 2)^6*(x -2)^10*(x -4)^13*(x + 4)^17*(x )^31;
T[480,11]=(x^2 -32)^2*(x -4)^22*(x + 4)^23*(x )^32;
T[480,13]=(x + 6)^9*(x -6)^11*(x -2)^23*(x + 2)^38;
T[480,17]=(x + 2)^7*(x -6)^9*(x + 6)^23*(x -2)^42;
T[480,19]=(x + 8)^3*(x -8)^3*(x )^10*(x -4)^31*(x + 4)^34;
T[480,23]=(x^2 -8)^2*(x + 6)^6*(x + 4)^6*(x -8)^7*(x -4)^8*(x -6)^10*(x + 8)^10*(x )^30;
T[480,29]=(x -10)^2*(x -2)^4*(x + 10)^4*(x + 6)^14*(x -6)^26*(x + 2)^31;
T[480,31]=(x^2 -32)^2*(x -4)^10*(x + 4)^14*(x + 8)^16*(x -8)^18*(x )^19;
T[480,37]=(x -10)^2*(x + 6)^5*(x + 2)^13*(x + 10)^14*(x -6)^22*(x -2)^25;
T[480,41]=(x + 10)^4*(x -2)^12*(x -6)^12*(x -10)^17*(x + 6)^36;
T[480,43]=(x + 2)^2*(x -2)^2*(x^2 -72)^2*(x + 12)^3*(x -12)^4*(x -8)^4*(x -10)^4*(x )^4*(x + 8)^6*(x + 10)^8*(x + 4)^19*(x -4)^21;
T[480,47]=(x + 12)^2*(x -2)^2*(x -12)^2*(x + 2)^2*(x^2 -8)^2*(x -6)^4*(x + 4)^4*(x -4)^6*(x + 6)^8*(x + 8)^10*(x -8)^16*(x )^21;
T[480,53]=(x -14)^4*(x -2)^6*(x -10)^9*(x + 10)^10*(x + 2)^12*(x -6)^19*(x + 6)^21;
T[480,59]=(x -8)^2*(x + 8)^2*(x^2 -128)^2*(x + 12)^8*(x -12)^13*(x -4)^14*(x + 4)^18*(x )^20;
T[480,61]=(x -14)^7*(x -6)^9*(x + 10)^15*(x -2)^16*(x + 2)^34;
T[480,67]=(x -6)^2*(x + 6)^2*(x^2 -8)^2*(x + 8)^4*(x + 2)^4*(x )^4*(x -8)^6*(x + 12)^6*(x -2)^8*(x -12)^10*(x -4)^13*(x + 4)^18;
T[480,71]=(x -16)^2*(x + 16)^2*(x^2 -32)^2*(x -12)^6*(x + 12)^10*(x -8)^13*(x + 8)^14*(x )^30;
T[480,73]=(x + 14)^7*(x -2)^21*(x -10)^26*(x + 6)^27;
T[480,79]=(x + 12)*(x -12)*(x^2 -128)^2*(x + 16)^3*(x + 4)^3*(x -4)^3*(x -16)^4*(x + 8)^18*(x -8)^22*(x )^22;
T[480,83]=(x -10)^2*(x + 10)^2*(x^2 -8)^2*(x -16)^4*(x + 6)^4*(x )^4*(x + 16)^6*(x -4)^7*(x -6)^8*(x + 4)^9*(x + 12)^12*(x -12)^19;
T[480,89]=(x + 14)^2*(x -2)^7*(x -18)^7*(x -10)^17*(x + 6)^48;
T[480,97]=(x -10)^4*(x -18)^6*(x + 14)^18*(x -2)^53;

T[481,2]=(x -1)*(x^7 + x^6 -8*x^5 -7*x^4 + 17*x^3 + 12*x^2 -9*x -6)*(x^11 -3*x^10 -14*x^9 + 45*x^8 + 64*x^7 -237*x^6 -99*x^5 + 529*x^4 -7*x^3 -460*x^2 + 67*x + 110)*(x^11 -3*x^10 -12*x^9 + 39*x^8 + 38*x^7 -149*x^6 -23*x^5 + 175*x^4 -5*x^3 -48*x^2 + 5*x + 2)*(x^7 + 5*x^6 + 2*x^5 -21*x^4 -25*x^3 + 8*x^2 + 13*x -2)*(x + 2)^2*(x )^2;
T[481,3]=(x^7 + 7*x^6 + 13*x^5 -5*x^4 -29*x^3 -10*x^2 + 10*x + 1)*(x^11 -x^10 -23*x^9 + 19*x^8 + 191*x^7 -106*x^6 -702*x^5 + 153*x^4 + 1016*x^3 + 144*x^2 -160*x -32)*(x^11 -5*x^10 -11*x^9 + 83*x^8 -9*x^7 -418*x^6 + 314*x^5 + 709*x^4 -692*x^3 -192*x^2 + 128*x + 32)*(x^7 -x^6 -11*x^5 + 7*x^4 + 39*x^3 -6*x^2 -46*x -19)*(x )*(x + 3)^2*(x -1)^2;
T[481,5]=(x^7 + 2*x^6 -19*x^5 -38*x^4 + 73*x^3 + 195*x^2 + 105*x + 12)*(x^11 -4*x^10 -29*x^9 + 128*x^8 + 223*x^7 -1259*x^6 -243*x^5 + 4516*x^4 -2112*x^3 -4300*x^2 + 3492*x -640)*(x^11 -2*x^10 -27*x^9 + 64*x^8 + 177*x^7 -491*x^6 -127*x^5 + 706*x^4 + 40*x^3 -268*x^2 -92*x -8)*(x^7 + 4*x^6 -13*x^5 -42*x^4 + 83*x^3 + 99*x^2 -227*x + 94)*(x )^2*(x + 2)^3;
T[481,7]=(x -2)*(x^7 + 2*x^6 -15*x^5 -11*x^4 + 64*x^3 -27*x^2 -21*x + 11)*(x^11 -4*x^10 -27*x^9 + 115*x^8 + 174*x^7 -923*x^6 -157*x^5 + 2419*x^4 -704*x^3 -1246*x^2 + 126*x + 2)*(x^11 -45*x^9 + 13*x^8 + 694*x^7 -379*x^6 -4269*x^5 + 3371*x^4 + 8922*x^3 -9110*x^2 + 486*x + 262)*(x^7 + 8*x^6 -5*x^5 -147*x^4 -126*x^3 + 621*x^2 + 405*x -243)*(x + 1)^4;
T[481,11]=(x + 2)*(x^7 + 13*x^6 + 40*x^5 -87*x^4 -461*x^3 + 60*x^2 + 1035*x + 423)*(x^11 -21*x^10 + 138*x^9 + 5*x^8 -3767*x^7 + 13336*x^6 + 5591*x^5 -102581*x^4 + 126638*x^3 + 89244*x^2 -150718*x + 21938)*(x^11 -11*x^10 + 30*x^9 + 77*x^8 -503*x^7 + 440*x^6 + 1621*x^5 -3413*x^4 + 848*x^3 + 2084*x^2 -1058*x + 102)*(x^7 + 13*x^6 + 38*x^5 -83*x^4 -427*x^3 -434*x^2 -71*x + 37)*(x -3)^2*(x + 5)^2;
T[481,13]=(x^2 + 2*x + 13)*(x^2 + 4*x + 13)*(x -1)^18*(x + 1)^19;
T[481,17]=(x + 6)*(x^7 + 10*x^6 -19*x^5 -316*x^4 -115*x^3 + 993*x^2 -513*x + 66)*(x^11 + 6*x^10 -87*x^9 -574*x^8 + 2245*x^7 + 18427*x^6 -11243*x^5 -235038*x^4 -240824*x^3 + 908128*x^2 + 2052272*x + 1158112)*(x^11 -6*x^10 -81*x^9 + 558*x^8 + 1321*x^7 -12985*x^6 + 1885*x^5 + 82588*x^4 -25712*x^3 -196736*x^2 -15024*x + 80896)*(x^7 -2*x^6 -21*x^5 + 28*x^4 + 129*x^3 -71*x^2 -225*x -72)*(x -6)^2*(x )^2;
T[481,19]=(x^7 + 2*x^6 -85*x^5 -163*x^4 + 1492*x^3 + 2375*x^2 + 1033*x + 128)*(x^11 -97*x^9 -15*x^8 + 2796*x^7 -281*x^6 -27515*x^5 + 17452*x^4 + 67592*x^3 -45456*x^2 -48272*x + 27712)*(x^11 + 6*x^10 -111*x^9 -669*x^8 + 3952*x^7 + 22339*x^6 -65721*x^5 -292508*x^4 + 573520*x^3 + 1341376*x^2 -2146448*x -666880)*(x^7 + 8*x^6 -51*x^5 -561*x^4 -208*x^3 + 9247*x^2 + 26863*x + 21052)*(x -2)^2*(x )^3;
T[481,23]=(x^7 + 24*x^6 + 202*x^5 + 542*x^4 -1682*x^3 -13737*x^2 -30411*x -23148)*(x^11 -10*x^10 -92*x^9 + 934*x^8 + 3198*x^7 -28443*x^6 -62105*x^5 + 316044*x^4 + 614272*x^3 -658986*x^2 -791226*x + 378648)*(x^11 -34*x^10 + 446*x^9 -2576*x^8 + 2636*x^7 + 43529*x^6 -207387*x^5 + 220892*x^4 + 626628*x^3 -1546910*x^2 + 339150*x + 949500)*(x^7 + 18*x^6 + 72*x^5 -388*x^4 -3164*x^3 -2361*x^2 + 22997*x + 42838)*(x -6)^2*(x -2)^3;
T[481,29]=(x^7 + 17*x^6 + 50*x^5 -302*x^4 -734*x^3 + 2544*x^2 -927*x -846)*(x^11 -13*x^10 -56*x^9 + 1102*x^8 + 592*x^7 -32550*x^6 + 6243*x^5 + 402510*x^4 -88936*x^3 -1996080*x^2 + 265072*x + 3018592)*(x^11 -17*x^10 -54*x^9 + 2284*x^8 -5768*x^7 -94646*x^6 + 455693*x^5 + 1089866*x^4 -8280056*x^3 + 1883120*x^2 + 26053136*x + 12050208)*(x^7 + 9*x^6 -32*x^5 -244*x^4 + 142*x^3 + 888*x^2 -1097*x + 334)*(x -6)^2*(x + 6)^3;
T[481,31]=(x -8)*(x^7 + 11*x^6 -75*x^5 -1088*x^4 -1103*x^3 + 11382*x^2 + 7161*x -29422)*(x^11 -5*x^10 -193*x^9 + 1082*x^8 + 13561*x^7 -85312*x^6 -407635*x^5 + 2981034*x^4 + 4407608*x^3 -43578096*x^2 -2643184*x + 190276384)*(x^11 -19*x^10 + 45*x^9 + 1260*x^8 -9299*x^7 + 550*x^6 + 190791*x^5 -544460*x^4 -495336*x^3 + 4474656*x^2 -6978960*x + 3499200)*(x^7 + 25*x^6 + 203*x^5 + 406*x^4 -1995*x^3 -7204*x^2 + 4167*x + 19296)*(x + 4)^4;
T[481,37]=(x -1)^20*(x + 1)^21;
T[481,41]=(x + 6)*(x^7 + 17*x^6 -30*x^5 -1914*x^4 -9700*x^3 + 7575*x^2 + 148722*x + 258801)*(x^11 -19*x^10 -132*x^9 + 3546*x^8 + 6178*x^7 -240091*x^6 -270242*x^5 + 6990379*x^4 + 11816480*x^3 -71319656*x^2 -196886272*x -97816432)*(x^11 + 5*x^10 -258*x^9 -696*x^8 + 23766*x^7 + 17785*x^6 -914378*x^5 + 460321*x^4 + 14490132*x^3 -19066288*x^2 -68822128*x + 119152400)*(x^7 -7*x^6 -104*x^5 + 520*x^4 + 3872*x^3 -8321*x^2 -54138*x -41589)*(x + 9)^4;
T[481,43]=(x^7 + 3*x^6 -234*x^5 -858*x^4 + 15464*x^3 + 66180*x^2 -209755*x -942238)*(x^11 + 3*x^10 -236*x^9 -342*x^8 + 18208*x^7 + 3472*x^6 -485497*x^5 + 40938*x^4 + 4324456*x^3 -665464*x^2 -6843330*x -162956)*(x^11 + 5*x^10 -186*x^9 -826*x^8 + 7304*x^7 + 25502*x^6 -123899*x^5 -272156*x^4 + 1005108*x^3 + 800772*