Sharedwww / Tables / charpoly_s2_501-600.gpOpen in CoCalc
\\ charpoly_s2_501-600.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(600,97,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[501,7]=(x -4)*(x^5 + 4*x^4 -3*x^3 -29*x^2 -37*x -13)*(x^8 + 4*x^7 -19*x^6 -65*x^5 + 63*x^4 + 255*x^3 + 84*x^2 -48*x -16)*(x^5 + 4*x^4 -15*x^3 -49*x^2 + 55*x + 83)*(x^8 -31*x^6 + 7*x^5 + 175*x^4 + 59*x^3 -224*x^2 -160*x -16)*(x^2 + 5*x + 5)^2*(x^12 -11*x^11 + 4*x^10 + 335*x^9 -965*x^8 -2308*x^7 + 11629*x^6 -1491*x^5 -39468*x^4 + 30443*x^3 + 38438*x^2 -37689*x -1557)^2;
T[501,11]=(x -4)*(x^5 + 7*x^4 -3*x^3 -92*x^2 -101*x + 121)*(x^5 + 15*x^4 + 69*x^3 + 36*x^2 -447*x -761)*(x^8 -13*x^7 + 41*x^6 + 104*x^5 -691*x^4 + 435*x^3 + 1804*x^2 -1316*x -1596)*(x^8 -5*x^7 -23*x^6 + 104*x^5 + 151*x^4 -547*x^3 -460*x^2 + 700*x + 500)*(x^12 -77*x^10 -12*x^9 + 2080*x^8 + 500*x^7 -24675*x^6 -6388*x^5 + 127975*x^4 + 29620*x^3 -237953*x^2 -23960*x + 86192)^2*(x )^4;
T[501,13]=(x -6)*(x^5 + 8*x^4 -x^3 -66*x^2 -48*x + 17)*(x^8 -37*x^6 -52*x^5 + 320*x^4 + 973*x^3 + 994*x^2 + 412*x + 56)*(x^5 -41*x^3 -32*x^2 + 412*x + 687)*(x^8 -61*x^6 -10*x^5 + 1088*x^4 -237*x^3 -6922*x^2 + 3828*x + 9224)*(x^2 + 5*x + 5)^2*(x^12 -9*x^11 -47*x^10 + 642*x^9 -396*x^8 -12320*x^7 + 32400*x^6 + 35904*x^5 -180288*x^4 + 58880*x^3 + 179456*x^2 -38912*x -37888)^2;
T[501,17]=(x^5 -5*x^4 -34*x^3 + 234*x^2 -255*x -293)*(x^8 -11*x^7 -20*x^6 + 626*x^5 -1801*x^4 -4863*x^3 + 30254*x^2 -41000*x + 7822)*(x^5 + 11*x^4 -10*x^3 -358*x^2 -343*x + 2203)*(x^8 + 7*x^7 -42*x^6 -318*x^5 + 175*x^4 + 3735*x^3 + 5532*x^2 -1058)*(x )*(x^2 + 5*x + 5)^2*(x^12 -3*x^11 -115*x^10 + 290*x^9 + 4240*x^8 -6768*x^7 -58928*x^6 + 23552*x^5 + 219648*x^4 + 53504*x^3 -235520*x^2 -182784*x -37888)^2;
T[501,19]=(x -4)*(x^5 + 20*x^4 + 153*x^3 + 554*x^2 + 940*x + 599)*(x^8 -12*x^7 + 5*x^6 + 298*x^5 -288*x^4 -2645*x^3 + 1000*x^2 + 8448*x + 4384)*(x^5 + 16*x^4 + 61*x^3 -102*x^2 -756*x -677)*(x^8 -24*x^7 + 201*x^6 -518*x^5 -2000*x^4 + 16319*x^3 -41784*x^2 + 47520*x -19872)*(x^2 -20)^2*(x^12 -105*x^10 -44*x^9 + 4048*x^8 + 2472*x^7 -71895*x^6 -45996*x^5 + 577911*x^4 + 278492*x^3 -1586817*x^2 + 92764*x + 53116)^2;
T[501,23]=(x + 8)*(x^5 -x^4 -77*x^3 + 26*x^2 + 1301*x + 1793)*(x^8 -7*x^7 -19*x^6 + 114*x^5 + 119*x^4 -585*x^3 -312*x^2 + 928*x + 384)*(x^5 + 9*x^4 -x^3 -170*x^2 -355*x -47)*(x^8 -x^7 -115*x^6 + 226*x^5 + 4223*x^4 -12649*x^3 -43488*x^2 + 204576*x -202112)*(x^2 -x -1)^2*(x^12 -x^11 -165*x^10 + 270*x^9 + 9080*x^8 -21544*x^7 -187296*x^6 + 605312*x^5 + 929280*x^4 -4542720*x^3 + 2064640*x^2 + 3611648*x -846848)^2;
T[501,29]=(x -6)*(x^5 + 5*x^4 -71*x^3 -330*x^2 + 1033*x + 4001)*(x^8 -x^7 -103*x^6 + 8*x^5 + 1007*x^4 -231*x^3 -1858*x^2 + 652*x + 88)*(x^5 + x^4 -89*x^3 -146*x^2 + 639*x -157)*(x^8 + 11*x^7 -53*x^6 -548*x^5 + 1545*x^4 + 5515*x^3 -12574*x^2 -3388*x + 5992)*(x^2 -8*x + 11)^2*(x^12 + 6*x^11 -136*x^10 -832*x^9 + 5035*x^8 + 28810*x^7 -80377*x^6 -386642*x^5 + 593524*x^4 + 1948164*x^3 -1746118*x^2 -1951914*x + 1467907)^2;
T[501,31]=(x^5 + 18*x^4 + 118*x^3 + 347*x^2 + 444*x + 181)*(x^5 + 18*x^4 + 90*x^3 + 79*x^2 -240*x -23)*(x^8 -30*x^7 + 246*x^6 + 743*x^5 -19628*x^4 + 81029*x^3 -18776*x^2 -301520*x -115552)*(x^8 + 2*x^7 -206*x^6 -581*x^5 + 13680*x^4 + 50249*x^3 -275064*x^2 -1322576*x -1017696)*(x )*(x^2 -6*x + 4)^2*(x^12 -2*x^11 -157*x^10 + 130*x^9 + 9384*x^8 + 3080*x^7 -255355*x^6 -351630*x^5 + 2807731*x^4 + 6418902*x^3 -5090641*x^2 -19199886*x -9529468)^2;
T[501,37]=(x + 6)*(x^5 + 17*x^4 + 23*x^3 -1084*x^2 -7275*x -13913)*(x^8 + 9*x^7 -107*x^6 -894*x^5 + 2913*x^4 + 18797*x^3 -26006*x^2 -83724*x -42872)*(x^5 -7*x^4 -77*x^3 + 230*x^2 + 1645*x + 1809)*(x^8 -11*x^7 -107*x^6 + 1200*x^5 + 2973*x^4 -41165*x^3 -1118*x^2 + 434236*x -464216)*(x^2 + 12*x + 31)^2*(x^12 -34*x^11 + 277*x^10 + 2844*x^9 -56708*x^8 + 186392*x^7 + 1840160*x^6 -16164384*x^5 + 32550592*x^4 + 77875840*x^3 -381885440*x^2 + 413890560*x -84354048)^2;
T[501,41]=(x^5 -6*x^4 -40*x^3 -55*x^2 -14*x + 1)*(x^8 -4*x^7 -188*x^6 + 793*x^5 + 10530*x^4 -50327*x^3 -154490*x^2 + 962494*x -859446)*(x^5 + 10*x^4 -120*x^3 -1119*x^2 + 656*x -87)*(x^8 -10*x^7 -96*x^6 + 1001*x^5 + 2406*x^4 -26127*x^3 -37652*x^2 + 217914*x + 389482)*(x )*(x^2 -2*x -79)^2*(x^12 + 14*x^11 -153*x^10 -2726*x^9 + 5716*x^8 + 192088*x^7 + 135232*x^6 -5840384*x^5 -11570752*x^4 + 66094080*x^3 + 170291200*x^2 -57360896*x -65094656)^2;
T[501,43]=(x + 6)*(x^5 + 10*x^4 -52*x^3 -689*x^2 -650*x + 4159)*(x^8 -2*x^7 -38*x^6 -23*x^5 + 400*x^4 + 1137*x^3 + 1258*x^2 + 622*x + 114)*(x^5 -6*x^4 -126*x^3 + 953*x^2 -1118*x -127)*(x^8 -24*x^7 + 136*x^6 + 651*x^5 -7218*x^4 + 5167*x^3 + 64788*x^2 -77042*x + 322)*(x^2 + 6*x -71)^2*(x^12 -6*x^11 -261*x^10 + 1090*x^9 + 22636*x^8 -37728*x^7 -815344*x^6 -488992*x^5 + 8852928*x^4 + 11935360*x^3 -26916864*x^2 -43177472*x + 2249728)^2;
T[501,47]=(x -8)*(x^5 + 3*x^4 -63*x^3 -223*x^2 + 208*x + 547)*(x^8 -17*x^7 -33*x^6 + 1811*x^5 -6384*x^4 -26255*x^3 + 111504*x^2 + 89328*x -68732)*(x^5 + 7*x^4 -57*x^3 -517*x^2 -668*x + 1209)*(x^8 + 3*x^7 -303*x^6 -359*x^5 + 30172*x^4 -21773*x^3 -970912*x^2 + 2590656*x + 355556)*(x^12 -2*x^11 -228*x^10 + 690*x^9 + 15823*x^8 -52612*x^7 -403911*x^6 + 1078270*x^5 + 4764260*x^4 -6143054*x^3 -22830058*x^2 -6376254*x + 5029119)^2*(x -7)^4;
T[501,53]=(x -12)*(x^5 -15*x^4 -65*x^3 + 1417*x^2 -4314*x + 707)*(x^8 -9*x^7 -53*x^6 + 407*x^5 + 1042*x^4 -4463*x^3 -10334*x^2 + 8186*x + 20326)*(x^5 + 9*x^4 -127*x^3 -1725*x^2 -5578*x -3061)*(x^8 + 25*x^7 + 155*x^6 -501*x^5 -7332*x^4 -12003*x^3 + 61412*x^2 + 219978*x + 191494)*(x^2 + 10*x + 20)^2*(x^12 -10*x^11 -220*x^10 + 1864*x^9 + 17536*x^8 -106080*x^7 -704704*x^6 + 2355712*x^5 + 13545216*x^4 -22157824*x^3 -117528576*x^2 + 74051584*x + 363016192)^2;
T[501,59]=(x -12)*(x^5 + 17*x^4 -73*x^3 -2381*x^2 -10470*x -5737)*(x^8 -29*x^7 + 269*x^6 -459*x^5 -5490*x^4 + 20601*x^3 + 23524*x^2 -122192*x -21056)*(x^5 + 37*x^4 + 469*x^3 + 2337*x^2 + 3846*x -617)*(x^8 -45*x^7 + 751*x^6 -5413*x^5 + 11618*x^4 + 39529*x^3 -152444*x^2 -30352*x + 288064)*(x^2 + 2*x -4)^2*(x^12 + 28*x^11 -40*x^10 -7976*x^9 -60432*x^8 + 511232*x^7 + 7857600*x^6 + 11692672*x^5 -231181568*x^4 -1003786752*x^3 + 1004135424*x^2 + 11749515264*x + 16274108416)^2;
T[501,61]=(x -2)*(x^5 + 2*x^4 -231*x^3 -854*x^2 + 13540*x + 69523)*(x^8 -16*x^7 -39*x^6 + 1024*x^5 + 1468*x^4 -14593*x^3 -4418*x^2 + 73528*x -64516)*(x^8 + 12*x^7 -99*x^6 -1028*x^5 + 4848*x^4 + 23067*x^3 -106134*x^2 + 24192*x + 51244)*(x^5 + 2*x^4 -147*x^3 + 474*x^2 + 2152*x -8609)*(x^2 -5)^2*(x^12 -2*x^11 -296*x^10 + 304*x^9 + 31167*x^8 -3190*x^7 -1410501*x^6 -732102*x^5 + 26197676*x^4 + 18400300*x^3 -142676914*x^2 -5972514*x + 52291179)^2;
T[501,67]=(x + 2)*(x^5 + 24*x^4 -3*x^3 -3132*x^2 -14296*x + 23449)*(x^8 -177*x^6 -320*x^5 + 10402*x^4 + 36139*x^3 -178430*x^2 -1010722*x -1226366)*(x^5 -219*x^3 + 558*x^2 + 1608*x + 751)*(x^8 -18*x^7 -61*x^6 + 1572*x^5 + 4602*x^4 -34503*x^3 -194308*x^2 -344414*x -209558)*(x^2 + 4*x -1)^2*(x^12 -28*x^11 + 45*x^10 + 5286*x^9 -43572*x^8 -217376*x^7 + 3612768*x^6 -5480128*x^5 -74165888*x^4 + 277654400*x^3 + 30137088*x^2 -956012032*x + 742796288)^2;
T[501,71]=(x + 12)*(x^5 -x^4 -292*x^3 + 207*x^2 + 15837*x -28039)*(x^8 -13*x^7 -34*x^6 + 1345*x^5 -8371*x^4 + 21115*x^3 -14648*x^2 -24360*x + 32816)*(x^5 -13*x^4 -258*x^3 + 2677*x^2 + 14869*x -64423)*(x^8 -21*x^7 -160*x^6 + 5595*x^5 -19051*x^4 -232649*x^3 + 1330380*x^2 + 1253480*x -12220528)*(x^2 + 11*x -1)^2*(x^12 + 9*x^11 -285*x^10 -1718*x^9 + 26540*x^8 + 68856*x^7 -834336*x^6 -1274592*x^5 + 10718336*x^4 + 12128640*x^3 -50588672*x^2 -45652992*x + 30477312)^2;
T[501,73]=(x + 2)*(x^5 -2*x^4 -109*x^3 -62*x^2 + 3298*x + 8743)*(x^5 + 6*x^4 -15*x^3 -40*x^2 + 26*x -3)*(x^8 + 20*x^7 -169*x^6 -5200*x^5 -8468*x^4 + 283203*x^3 + 816678*x^2 -4503628*x -9386184)*(x^8 + 8*x^7 -223*x^6 -1690*x^5 + 11324*x^4 + 87553*x^3 + 135414*x^2 + 23660*x -14504)*(x^2 + 19*x + 79)^2*(x^12 -61*x^11 + 1387*x^10 -12470*x^9 -13540*x^8 + 989344*x^7 -4496864*x^6 -17026144*x^5 + 151099520*x^4 -21136512*x^3 -1422816768*x^2 + 864962048*x + 4539186176)^2;
T[501,79]=(x + 2)*(x^5 + 6*x^4 -186*x^3 -1471*x^2 + 3112*x + 31489)*(x^8 -8*x^7 -464*x^6 + 3851*x^5 + 67944*x^4 -541873*x^3 -3540828*x^2 + 23441222*x + 39988958)*(x^5 -14*x^4 + 44*x^3 + 119*x^2 -764*x + 923)*(x^8 -10*x^7 -366*x^6 + 3705*x^5 + 36438*x^4 -381923*x^3 -706442*x^2 + 8440882*x + 2662174)*(x^2 -2*x -19)^2*(x^12 -521*x^10 -1180*x^9 + 94976*x^8 + 364800*x^7 -7023232*x^6 -31040192*x^5 + 227270656*x^4 + 962447744*x^3 -3216951808*x^2 -9841861632*x + 16330576896)^2;
T[501,83]=(x -8)*(x^5 + 7*x^4 -129*x^3 -353*x^2 + 5178*x -7703)*(x^5 + 5*x^4 -169*x^3 -1991*x^2 -7840*x -10575)*(x^8 -33*x^7 + 257*x^6 + 1629*x^5 -25110*x^4 + 21827*x^3 + 485892*x^2 -656928*x -2562224)*(x^8 -7*x^7 -267*x^6 + 567*x^5 + 18984*x^4 + 66219*x^3 + 33136*x^2 -101360*x -55504)*(x^2 + 2*x -79)^2*(x^12 + 16*x^11 -345*x^10 -5600*x^9 + 41380*x^8 + 733800*x^7 -1774304*x^6 -44322368*x^5 -8948544*x^4 + 1181787520*x^3 + 2077619200*x^2 -9710987776*x -23933785088)^2;
T[501,89]=(x + 6)*(x^5 -155*x^3 -322*x^2 + 5064*x + 17071)*(x^5 + 30*x^4 + 217*x^3 -1156*x^2 -18764*x -55203)*(x^8 -4*x^7 -199*x^6 + 398*x^5 + 12156*x^4 + 561*x^3 -188850*x^2 -393620*x -216312)*(x^8 -26*x^7 + 49*x^6 + 4016*x^5 -44316*x^4 + 183291*x^3 -298878*x^2 + 99044*x + 99128)*(x^2 + 2*x -124)^2*(x^12 + 12*x^11 -371*x^10 -5068*x^9 + 35136*x^8 + 666364*x^7 + 347635*x^6 -27249188*x^5 -106569273*x^4 + 57136816*x^3 + 785601361*x^2 + 758079950*x -347261236)^2;
T[501,97]=(x -10)*(x^5 + 13*x^4 -112*x^3 -1201*x^2 -1989*x -869)*(x^5 + 9*x^4 -48*x^3 -429*x^2 + 555*x + 3391)*(x^8 + 3*x^7 -374*x^6 -13*x^5 + 28149*x^4 + 9497*x^3 -704726*x^2 -457348*x + 4584952)*(x^8 + 31*x^7 + 50*x^6 -5065*x^5 -26723*x^4 + 124853*x^3 + 547194*x^2 -1293780*x -24584)*(x^2 + 21*x + 99)^2*(x^12 -73*x^11 + 1846*x^10 -9211*x^9 -444479*x^8 + 9243110*x^7 -55446501*x^6 -307055419*x^5 + 5942712174*x^4 -24664344089*x^3 -39346347616*x^2 + 552469534459*x -1132990973381)^2;

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^2 -5*x + 3)*(x^5 -7*x^4 + 9*x^3 + 24*x^2 -52*x + 24)*(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[502,7]=(x^2 + 4*x -1)*(x^5 + x^4 -19*x^3 -18*x^2 + 78*x + 73)*(x^6 -6*x^5 -7*x^4 + 90*x^3 -146*x^2 + 72*x -11)*(x^5 -x^4 -19*x^3 + 28*x^2 + 80*x -137)*(x + 1)^2*(x^4 + 3*x^3 -5*x^2 -19*x -11)^2*(x^17 -3*x^16 -71*x^15 + 203*x^14 + 2030*x^13 -5579*x^12 -29805*x^11 + 80756*x^10 + 235362*x^9 -668242*x^8 -922654*x^7 + 3176896*x^6 + 1056610*x^5 -7921027*x^4 + 3243764*x^3 + 7315324*x^2 -7772692*x + 2209789)^2;
T[502,11]=(x^5 + 4*x^4 -29*x^3 -76*x^2 + 160*x -64)*(x^6 -x^5 -30*x^4 + 23*x^3 + 280*x^2 -112*x -832)*(x^5 -7*x^4 + 13*x^3 -10*x -1)*(x -3)^2*(x + 3)^2*(x^4 + 3*x^3 -4*x -1)^2*(x^17 + x^16 -122*x^15 -152*x^14 + 5977*x^13 + 9162*x^12 -151560*x^11 -278496*x^10 + 2100848*x^9 + 4542848*x^8 -15007296*x^7 -38411776*x^6 + 41462784*x^5 + 139814400*x^4 + 18051072*x^3 -84443136*x^2 -11018240*x + 10657792)^2;
T[502,13]=(x^5 + 7*x^4 -7*x^3 -100*x^2 -6*x + 373)*(x^6 + 5*x^5 -24*x^4 -141*x^3 -78*x^2 + 360*x + 392)*(x^2 -13)*(x^5 -4*x^4 -23*x^3 + 138*x^2 -200*x + 72)*(x + 1)^2*(x^4 + 12*x^3 + 48*x^2 + 77*x + 41)^2*(x^17 -22*x^16 + 106*x^15 + 985*x^14 -11180*x^13 + 18658*x^12 + 166344*x^11 -636123*x^10 -596895*x^9 + 5242340*x^8 -1749194*x^7 -16832410*x^6 + 11584495*x^5 + 21090650*x^4 -16505080*x^3 -6409715*x^2 + 5938307*x -504874)^2;
T[502,17]=(x^2 -x -31)*(x^2 + 3*x -27)*(x^5 + 8*x^4 -22*x^3 -242*x^2 -501*x -313)*(x^5 -6*x^4 -24*x^3 + 158*x^2 + 41*x -531)*(x^6 -8*x^5 -9*x^4 + 124*x^3 -154*x^2 + 52*x -1)*(x^4 -x^3 -24*x^2 + 34*x + 31)^2*(x^17 + x^16 -156*x^15 -4*x^14 + 9720*x^13 -6153*x^12 -310378*x^11 + 301503*x^10 + 5613916*x^9 -6084607*x^8 -59432117*x^7 + 60993229*x^6 + 360650645*x^5 -296727023*x^4 -1142328459*x^3 + 551610256*x^2 + 1430823689*x -54097717)^2;
T[502,19]=(x^2 + 5*x -25)*(x^2 -x -29)*(x^5 -3*x^4 -13*x^3 -2*x^2 + 16*x + 8)*(x^5 + 10*x^4 + 22*x^3 -36*x^2 -161*x -129)*(x^6 -3*x^5 -46*x^4 + 129*x^3 + 66*x^2 -384*x + 232)*(x^4 + 9*x^3 -3*x^2 -89*x + 101)^2*(x^17 -13*x^16 -101*x^15 + 1731*x^14 + 3191*x^13 -92284*x^12 -9904*x^11 + 2514552*x^10 -1351376*x^9 -36827040*x^8 + 26908352*x^7 + 274551424*x^6 -209359360*x^5 -843688960*x^4 + 820908032*x^3 + 635764736*x^2 -792199168*x + 130088960)^2;
T[502,23]=(x^2 + 12*x + 31)*(x^5 + 17*x^4 + 79*x^3 -66*x^2 -1196*x -1999)*(x^6 -18*x^5 + 95*x^4 -26*x^3 -848*x^2 + 966*x + 539)*(x^5 -13*x^4 -3*x^3 + 470*x^2 -420*x -4703)*(x + 3)^2*(x^4 -4*x^3 -13*x^2 + 34*x + 11)^2*(x^17 + 2*x^16 -145*x^15 -264*x^14 + 8242*x^13 + 13724*x^12 -234207*x^11 -354375*x^10 + 3472133*x^9 + 4725642*x^8 -24878008*x^7 -30706764*x^6 + 63705511*x^5 + 80688792*x^4 -3117473*x^3 -27663623*x^2 -7122621*x + 201949)^2;
T[502,29]=(x^2 -5*x -25)*(x^5 + 15*x^4 + 69*x^3 + 48*x^2 -340*x -536)*(x^6 -x^5 -146*x^4 + 161*x^3 + 5008*x^2 -4252*x -35656)*(x^2 + 7*x + 9)*(x^5 -4*x^4 -24*x^3 + 68*x^2 + 163*x -123)*(x^4 + 12*x^3 -x^2 -222*x + 311)^2*(x^17 -28*x^16 + 109*x^15 + 3592*x^14 -35339*x^13 -83940*x^12 + 2114316*x^11 -2737896*x^10 -53412880*x^9 + 142138656*x^8 + 678614208*x^7 -2212257792*x^6 -4798937856*x^5 + 14938317824*x^4 + 20809587712*x^3 -38478827520*x^2 -48567717888*x + 1937776640)^2;
T[502,31]=(x^5 + x^4 -80*x^3 + 15*x^2 + 1588*x -1796)*(x^6 -6*x^5 -67*x^4 + 246*x^3 + 1258*x^2 -2612*x -6259)*(x^2 -52)*(x^5 + 13*x^4 + 16*x^3 -389*x^2 -1720*x -1948)*(x -2)^2*(x^4 + 2*x^3 -50*x^2 -51*x -11)^2*(x^17 -12*x^16 -166*x^15 + 2289*x^14 + 10062*x^13 -171886*x^12 -286098*x^11 + 6673682*x^10 + 4377535*x^9 -146421065*x^8 -55361745*x^7 + 1824111843*x^6 + 900961262*x^5 -11842608328*x^4 -9922272408*x^3 + 29270357475*x^2 + 39314636036*x + 10307640389)^2;
T[502,37]=(x^2 -x -11)*(x^5 + 5*x^4 -131*x^3 -810*x^2 -704*x + 968)*(x^6 + 13*x^5 + 28*x^4 -91*x^3 -178*x^2 + 80*x + 8)*(x^2 + 3*x -1)*(x^5 -16*x^4 -22*x^3 + 1114*x^2 -1945*x -10025)*(x^4 + 13*x^3 + 28*x^2 -192*x -659)^2*(x^17 -27*x^16 + 5558*x^14 -32361*x^13 -378678*x^12 + 3436984*x^11 + 8948544*x^10 -136121072*x^9 -14577344*x^8 + 2433148864*x^7 -1568518656*x^6 -20941760512*x^5 + 13518874112*x^4 + 81237630976*x^3 -20547432448*x^2 -94585307136*x -1861132288)^2;
T[502,41]=(x^2 + 9*x -9)*(x^2 + x -61)*(x^5 -6*x^4 -82*x^3 + 216*x^2 + 2113*x + 2733)*(x^5 + 12*x^4 -44*x^3 -756*x^2 -245*x + 8119)*(x^6 -4*x^5 -97*x^4 + 344*x^3 + 682*x^2 -1656*x -2233)*(x^4 -x^3 -35*x^2 + 127*x -121)^2*(x^17 + x^16 -327*x^15 -797*x^14 + 38908*x^13 + 128893*x^12 -2075753*x^11 -7251940*x^10 + 56730326*x^9 + 179176510*x^8 -839024486*x^7 -1998291412*x^6 + 6629442096*x^5 + 8804714605*x^4 -25358202442*x^3 -8594977168*x^2 + 33633722464*x -11114425387)^2;
T[502,43]=(x^2 -3*x -99)*(x^5 -x^4 -43*x^3 -114*x^2 -88*x -8)*(x^6 + 5*x^5 -152*x^4 -923*x^3 + 3942*x^2 + 22328*x -21992)*(x^2 -13*x + 13)*(x^5 + 8*x^4 -116*x^3 -808*x^2 + 2607*x + 16633)*(x^4 + 5*x^3 -134*x^2 -710*x + 1439)^2*(x^17 -9*x^16 -350*x^15 + 2862*x^14 + 48873*x^13 -352374*x^12 -3439332*x^11 + 21050904*x^10 + 125204240*x^9 -623509120*x^8 -2085395520*x^7 + 8346453888*x^6 + 9051129344*x^5 -41569265664*x^4 + 24916977664*x^3 -527659008*x^2 -339017728*x -11640832)^2;
T[502,47]=(x^2 + 9*x + 19)*(x^2 + x -3)*(x^5 -29*x^4 + 295*x^3 -1302*x^2 + 2400*x -1448)*(x^5 + 19*x^4 + 97*x^3 -50*x^2 -916*x + 472)*(x^6 -8*x^5 -88*x^4 + 856*x^3 -192*x^2 -10208*x + 16448)*(x^4 -12*x^3 + 34*x^2 -13*x + 1)^2*(x^17 + 20*x^16 -260*x^15 -6943*x^14 + 14991*x^13 + 872728*x^12 + 603244*x^11 -53212280*x^10 -83401008*x^9 + 1705492768*x^8 + 2690425152*x^7 -28205012864*x^6 -31462836992*x^5 + 210088440832*x^4 + 118005789696*x^3 -401647810560*x^2 -362991652864*x -62409392128)^2;
T[502,53]=(x^2 + 2*x -124)*(x^2 -6*x -108)*(x^5 + 34*x^4 + 360*x^3 + 864*x^2 -3744*x -3424)*(x^5 -25*x^4 + 216*x^3 -689*x^2 + 82*x + 2316)*(x^6 + 3*x^5 -106*x^4 + 29*x^3 + 1936*x^2 -1716*x -3448)*(x^4 -5*x^3 -24*x^2 + 80*x + 139)^2*(x^17 -x^16 -460*x^15 + 1170*x^14 + 85157*x^13 -333566*x^12 -7929696*x^11 + 41100864*x^10 + 378464016*x^9 -2483149792*x^8 -8209777280*x^7 + 73236175616*x^6 + 43224440320*x^5 -958257038336*x^4 + 595623487488*x^3 + 4279899836416*x^2 -2609368993792*x -7243329708032)^2;
T[502,59]=(x^5 + 10*x^4 -36*x^3 -392*x^2 -448*x + 512)*(x^6 + 5*x^5 -232*x^4 -1379*x^3 + 10454*x^2 + 65820*x + 59624)*(x^5 -11*x^4 -2*x^3 + 223*x^2 -120*x -64)*(x^4 -6*x^3 -63*x^2 + 116*x + 551)^2*(x^17 + 20*x^16 -269*x^15 -6472*x^14 + 29669*x^13 + 840402*x^12 -2051496*x^11 -55500736*x^10 + 116115376*x^9 + 1895587136*x^8 -4767793344*x^7 -28202291456*x^6 + 96262785536*x^5 + 59437852160*x^4 -432346468352*x^3 + 296771993600*x^2 + 156569124864*x -139809955840)^2*(x )^4;
T[502,61]=(x^2 -4*x -1)*(x^5 -171*x^3 + 54*x^2 + 2268*x -1944)*(x^6 + 61*x^5 + 1520*x^4 + 19777*x^3 + 141590*x^2 + 528812*x + 805288)*(x^2 -14*x -3)*(x^5 -11*x^4 -23*x^3 + 366*x^2 + 66*x -107)*(x^4 + 21*x^3 + 157*x^2 + 489*x + 521)^2*(x^17 -59*x^16 + 1075*x^15 + 2169*x^14 -312119*x^13 + 3270878*x^12 + 8177288*x^11 -358118728*x^10 + 1766208672*x^9 + 8026761536*x^8 -105566377280*x^7 + 254175284608*x^6 + 1049495551488*x^5 -7795255991296*x^4 + 19829218704384*x^3 -25084058574848*x^2 + 15553559293952*x -3666674696192)^2;
T[502,67]=(x^2 + 4*x -1)*(x^5 + 11*x^4 -7*x^3 -264*x^2 + 1331)*(x^6 + 13*x^5 -246*x^4 -3329*x^3 + 9048*x^2 + 173052*x + 408920)*(x^5 + 6*x^4 -303*x^3 -1760*x^2 + 21804*x + 138664)*(x^2 -20*x + 87)*(x^4 -17*x^3 -26*x^2 + 1382*x -4159)^2*(x^17 -15*x^16 -400*x^15 + 6002*x^14 + 60364*x^13 -895287*x^12 -4463436*x^11 + 63940191*x^10 + 178032782*x^9 -2389807155*x^8 -3972065505*x^7 + 47502087611*x^6 + 50268870527*x^5 -471968962679*x^4 -365757071819*x^3 + 1878172122230*x^2 + 1408296024177*x -1042048845953)^2;
T[502,71]=(x^2 -3*x -27)*(x^2 -9*x + 19)*(x^5 -15*x^4 -55*x^3 + 1508*x^2 -4828*x + 536)*(x^5 + x^4 -231*x^3 -294*x^2 + 11968*x + 33224)*(x^6 -22*x^5 -28*x^4 + 2344*x^3 -3472*x^2 -45920*x -54848)*(x^4 + 10*x^3 -74*x^2 -495*x + 2389)^2*(x^17 + 26*x^16 -200*x^15 -9687*x^14 -26335*x^13 + 1095946*x^12 + 7551084*x^11 -35897688*x^10 -460211216*x^9 -401864960*x^8 + 8678956672*x^7 + 28016491648*x^6 -18133311488*x^5 -177726125056*x^4 -166011027456*x^3 + 68594900992*x^2 + 49532829696*x -12296978432)^2;
T[502,73]=(x^2 -8*x -64)*(x^2 + 12*x -16)*(x^5 -3*x^4 -82*x^3 -77*x^2 + 476*x -208)*(x^5 + 9*x^4 -206*x^3 -829*x^2 + 13096*x -28608)*(x^6 -6*x^5 -283*x^4 + 1010*x^3 + 26194*x^2 -42140*x -796103)*(x^4 + 2*x^3 -130*x^2 + 259*x + 539)^2*(x^17 -8*x^16 -660*x^15 + 5971*x^14 + 159642*x^13 -1633456*x^12 -17014966*x^11 + 203838750*x^10 + 714163227*x^9 -11635976439*x^8 -3415758901*x^7 + 272674186013*x^6 -268115200878*x^5 -2250483827338*x^4 + 2892174953448*x^3 + 4106578504731*x^2 -2848439163886*x -371103914897)^2;
T[502,79]=(x^2 + 10*x + 5)*(x^5 -35*x^4 + 453*x^3 -2670*x^2 + 6968*x -6209)*(x^6 -28*x^5 + 153*x^4 + 1500*x^3 -16684*x^2 + 41434*x -3023)*(x^5 + 29*x^4 + 31*x^3 -6574*x^2 -74616*x -247763)*(x^2 + 24*x + 131)*(x^4 + 21*x^3 -20*x^2 -2622*x -13051)^2*(x^17 -33*x^16 + 10*x^15 + 9306*x^14 -52628*x^13 -1089881*x^12 + 8049454*x^11 + 71371605*x^10 -548408374*x^9 -2969045463*x^8 + 19597651603*x^7 + 82231679835*x^6 -352469832409*x^5 -1419739642133*x^4 + 2221440392387*x^3 + 11461496855656*x^2 + 7869172132141*x -1616495596055)^2;
T[502,83]=(x^2 + 17*x + 41)*(x^2 -21*x + 81)*(x^5 -3*x^4 -289*x^3 + 676*x^2 + 19136*x -48832)*(x^5 + 9*x^4 + x^3 -106*x^2 -20*x + 216)*(x^6 -14*x^5 -252*x^4 + 3832*x^3 + 9056*x^2 -263168*x + 799232)*(x^4 + x^3 -210*x^2 + 48*x + 6269)^2*(x^17 -830*x^15 -182*x^14 + 276753*x^13 + 147193*x^12 -47625433*x^11 -43148327*x^10 + 4522831874*x^9 + 5789427547*x^8 -235022278685*x^7 -368397937479*x^6 + 6266391309920*x^5 + 10396445225104*x^4 -76344818967680*x^3 -116429725697024*x^2 + 308857769302016*x + 295625646813184)^2;
T[502,89]=(x^2 -125)*(x^5 -15*x^4 + 5*x^3 + 514*x^2 -674*x + 77)*(x^6 -18*x^5 -195*x^4 + 5242*x^3 -26078*x^2 + 23448*x + 33517)*(x^5 + 9*x^4 -143*x^3 -1426*x^2 -3290*x -1107)*(x^2 + 12*x -81)*(x^4 -5*x^3 -99*x^2 + 255*x + 2489)^2*(x^17 -11*x^16 -495*x^15 + 5447*x^14 + 83458*x^13 -971603*x^12 -5371593*x^11 + 74548723*x^10 + 82706963*x^9 -2397420922*x^8 + 2343131572*x^7 + 29345374474*x^6 -57306699649*x^5 -111087884263*x^4 + 281057415395*x^3 + 73341745265*x^2 -248323900089*x -91153496990)^2;
T[502,97]=(x^2 -16*x + 19)*(x^5 + 2*x^4 -353*x^3 -1094*x^2 + 27328*x + 109064)*(x^6 -16*x^5 -324*x^4 + 6032*x^3 + 192*x^2 -199936*x -330176)*(x^5 + 6*x^4 -93*x^3 -734*x^2 -968*x -8)*(x^2 + 28*x + 183)*(x^4 -6*x^3 -80*x^2 -58*x + 319)^2*(x^17 + 10*x^16 -742*x^15 -6856*x^14 + 215169*x^13 + 1880094*x^12 -31176204*x^11 -258766672*x^10 + 2403001936*x^9 + 18416520096*x^8 -99643866816*x^7 -635356579328*x^6 + 2312499828992*x^5 + 9310152623104*x^4 -27873969767424*x^3 -32737918083072*x^2 + 90599795339264*x -41770891288576)^2;

T[503,2]=(x + 1)*(x^3 -5*x + 3)*(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^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 -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[503,7]=(x -3)*(x^3 -x^2 -8*x + 3)*(x^10 + 5*x^9 -9*x^8 -64*x^7 + 8*x^6 + 228*x^5 + 23*x^4 -214*x^3 + 86*x^2 -4*x -1)*(x^26 -11*x^25 -63*x^24 + 1107*x^23 + 43*x^22 -44446*x^21 + 93217*x^20 + 898238*x^19 -3273637*x^18 -9066021*x^17 + 53508259*x^16 + 26089563*x^15 -476783660*x^14 + 340019836*x^13 + 2258493746*x^12 -3638899633*x^11 -4488923464*x^10 + 13313053218*x^9 -1189588910*x^8 -17825595396*x^7 + 10116673017*x^6 + 8032872453*x^5 -6538139464*x^4 -992741156*x^3 + 848600087*x^2 + 172525027*x + 5803441)*(x + 3)^2;
T[503,11]=(x -5)*(x -3)*(x -1)*(x^3 -11*x^2 + 36*x -35)*(x^10 + 3*x^9 -41*x^8 -80*x^7 + 515*x^6 + 537*x^5 -1961*x^4 -1781*x^3 + 1973*x^2 + 1920*x + 311)*(x^26 + 17*x^25 -19*x^24 -1993*x^23 -9318*x^22 + 69343*x^21 + 684361*x^20 + 171574*x^19 -17790495*x^18 -58741228*x^17 + 140418152*x^16 + 1195749823*x^15 + 1337713907*x^14 -7963423904*x^13 -26524346571*x^12 -2437492147*x^11 + 127147119393*x^10 + 220655004639*x^9 -72117070449*x^8 -683061933795*x^7 -791478601478*x^6 + 76774743603*x^5 + 1080817421692*x^4 + 1209958900604*x^3 + 658913392984*x^2 + 184269684053*x + 21107618035);
T[503,13]=(x -5)*(x^3 -5*x^2 -2*x + 25)*(x^26 -14*x^25 -120*x^24 + 2386*x^23 + 3454*x^22 -168492*x^21 + 136722*x^20 + 6506843*x^19 -11822453*x^18 -153132460*x^17 + 344794423*x^16 + 2326590816*x^15 -5339743095*x^14 -23621117551*x^13 + 47008122323*x^12 + 162052333548*x^11 -225426275374*x^10 -725968713666*x^9 + 471071882753*x^8 + 1883475205603*x^7 + 51373051032*x^6 -2118085970313*x^5 -982189476223*x^4 + 528503780175*x^3 + 396000550123*x^2 + 39464838428*x -4565810269)*(x^10 + 18*x^9 + 120*x^8 + 307*x^7 -212*x^6 -2777*x^5 -4882*x^4 -481*x^3 + 5985*x^2 + 4107*x -19)*(x -1)^2;
T[503,17]=(x + 8)*(x^3 -12*x^2 + 28*x + 40)*(x^26 -17*x^25 -140*x^24 + 3763*x^23 + 1965*x^22 -350410*x^21 + 767902*x^20 + 17915638*x^19 -67407884*x^18 -548927462*x^17 + 2777312631*x^16 + 10230122700*x^15 -67588997560*x^14 -108947193496*x^13 + 1031476627792*x^12 + 467845817408*x^11 -9932598673344*x^10 + 2624936427008*x^9 + 58419138817280*x^8 -43706635012608*x^7 -191492257306624*x^6 + 213976231503872*x^5 + 270356129566720*x^4 -408827183243264*x^3 -8389739823104*x^2 + 129846512943104*x -30028070912000)*(x^10 + 11*x^9 + 2*x^8 -367*x^7 -1167*x^6 + 1710*x^5 + 11026*x^4 + 3190*x^3 -29792*x^2 -12996*x + 30151)*(x )^2;
T[503,19]=(x + 4)*(x -8)*(x^10 -73*x^8 + 144*x^7 + 1396*x^6 -4568*x^5 -3789*x^4 + 23773*x^3 -7633*x^2 -26147*x + 8863)*(x^26 + 22*x^25 -29*x^24 -3884*x^23 -17286*x^22 + 262952*x^21 + 2052903*x^20 -7844419*x^19 -105746925*x^18 + 38804083*x^17 + 3015971913*x^16 + 4210951278*x^15 -50187749224*x^14 -133480039656*x^13 + 468289165200*x^12 + 1911899452672*x^11 -1907425320064*x^10 -14802697033088*x^9 -3560597101568*x^8 + 59706735470592*x^7 + 63466449357824*x^6 -96210057326592*x^5 -196963281367040*x^4 -29824014974976*x^3 + 151849547038720*x^2 + 120605146906624*x + 27975502790656)*(x -4)^4;
T[503,23]=(x + 3)*(x -9)*(x + 5)*(x^10 + 2*x^9 -102*x^8 -275*x^7 + 2080*x^6 + 5432*x^5 -12083*x^4 -21377*x^3 + 28798*x^2 + 9002*x -2281)*(x^26 -27*x^25 + 34*x^24 + 5201*x^23 -38678*x^22 -353467*x^21 + 4658847*x^20 + 6361183*x^19 -262348715*x^18 + 432016203*x^17 + 8071371212*x^16 -29352039246*x^15 -132807418155*x^14 + 792048603757*x^13 + 829924574496*x^12 -11244742575524*x^11 + 6545836445210*x^10 + 82239652903832*x^9 -134555762458794*x^8 -241878328842175*x^7 + 686790406137553*x^6 -46638025397002*x^5 -896195466225251*x^4 + 406381968938785*x^3 + 337121555445408*x^2 -191591917313168*x + 12250173459904)*(x + 4)^3;
T[503,29]=(x + 6)*(x^3 + 2*x^2 -40*x + 72)*(x^10 + 9*x^9 -65*x^8 -702*x^7 + 487*x^6 + 13633*x^5 + 20531*x^4 -187*x^3 -15421*x^2 -8766*x -1397)*(x^26 -13*x^25 -369*x^24 + 5246*x^23 + 55543*x^22 -901407*x^21 -4355075*x^20 + 86971737*x^19 + 182060937*x^18 -5230460438*x^17 -3039592225*x^16 + 206019249432*x^15 -60729864640*x^14 -5446388063176*x^13 + 4272627589664*x^12 + 97504344807616*x^11 -99111717526272*x^10 -1173723928268032*x^9 + 1255258881864960*x^8 + 9222843598920704*x^7 -9278334128539648*x^6 -44256551812386816*x^5 + 39531072591417344*x^4 + 113049745910497280*x^3 -91900564764803072*x^2 -112584014659846144*x + 89949408114835456)*(x )^2;
T[503,31]=(x -10)*(x^3 + 10*x^2 -72)*(x^10 + 22*x^9 + 127*x^8 -233*x^7 -3545*x^6 -2931*x^5 + 27453*x^4 + 31755*x^3 -57982*x^2 -5501*x + 8207)*(x^26 -26*x^25 -129*x^24 + 8543*x^23 -29959*x^22 -1048515*x^21 + 7356287*x^20 + 60770473*x^19 -624237626*x^18 -1712952851*x^17 + 28083138291*x^16 + 15699888232*x^15 -755509882400*x^14 + 363203119104*x^13 + 12765580078416*x^12 -12280056161504*x^11 -137766867210944*x^10 + 150626062102656*x^9 + 943880635663104*x^8 -913820626293760*x^7 -3958341459778560*x^6 + 2630799336062976*x^5 + 9125887873085440*x^4 -2689740904611840*x^3 -8625917485121536*x^2 + 425092213669888*x + 1512189768040448)*(x + 2)^2;
T[503,37]=(x + 4)*(x -4)*(x -2)*(x^3 -2*x^2 -68*x -56)*(x^10 + 35*x^9 + 437*x^8 + 1859*x^7 -5712*x^6 -71008*x^5 -111154*x^4 + 560598*x^3 + 1565189*x^2 -929679*x -3774629)*(x^26 -55*x^25 + 955*x^24 + 1699*x^23 -260436*x^22 + 2667318*x^21 + 10909262*x^20 -384582794*x^19 + 1860966625*x^18 + 14966388429*x^17 -195296238585*x^16 + 365961614724*x^15 + 5493825044328*x^14 -36181299307392*x^13 + 19961078852880*x^12 + 612035175558368*x^11 -2446718645838464*x^10 + 737596880858624*x^9 + 19558458423193344*x^8 -57831499008843776*x^7 + 54263966823928832*x^6 + 37732397206040576*x^5 -110179101118566400*x^4 + 56660270137892864*x^3 + 5633857372176384*x^2 -148329147236352*x -12593434918912);
T[503,41]=(x + 2)*(x^3 -2*x^2 -104*x -120)*(x^10 + 4*x^9 -150*x^8 -59*x^7 + 6310*x^6 -7004*x^5 -84240*x^4 + 149773*x^3 + 143286*x^2 -111711*x -17357)*(x^26 -24*x^25 -300*x^24 + 11279*x^23 + 4978*x^22 -2131892*x^21 + 8509782*x^20 + 205648699*x^19 -1438404542*x^18 -10254788577*x^17 + 110214766991*x^16 + 194478388956*x^15 -4547265815556*x^14 + 4104364316328*x^13 + 99708887392448*x^12 -266367902658816*x^11 -985192010256320*x^10 + 4597715033432704*x^9 + 1381568268733440*x^8 -30616800237445120*x^7 + 32423761153933312*x^6 + 61080437520680960*x^5 -137579361639518208*x^4 + 46522754052366336*x^3 + 77322565352980480*x^2 -70669233359978496*x + 16700874484285440)*(x + 10)^2;
T[503,43]=(x + 1)*(x^3 -5*x^2 -48*x -5)*(x^10 + 20*x^9 + 5*x^8 -2646*x^7 -24232*x^6 -78150*x^5 -18426*x^4 + 368059*x^3 + 511389*x^2 + 16858*x -147629)*(x^26 -20*x^25 -429*x^24 + 10835*x^23 + 61926*x^22 -2489818*x^21 -974417*x^20 + 316932098*x^19 -768298978*x^18 -24409295150*x^17 + 107276840350*x^16 + 1156878033523*x^15 -7252612555106*x^14 -31993548264617*x^13 + 288515865016553*x^12 + 394482741942816*x^11 -6956696965244069*x^10 + 2899097181477409*x^9 + 97680340238925259*x^8 -161453491416414447*x^7 -693364465012995169*x^6 + 1958158688810029323*x^5 + 1315052302915273507*x^4 -8414395505797641472*x^3 + 6166363052338693134*x^2 + 2588536894370035461*x -2728835522754568655)*(x -5)^2;
T[503,47]=(x + 3)*(x + 1)*(x + 5)*(x^3 -19*x^2 + 96*x -63)*(x^10 -7*x^9 -148*x^8 + 757*x^7 + 6796*x^6 -17637*x^5 -115790*x^4 -1951*x^3 + 234373*x^2 + 173434*x + 34183)*(x^26 + 25*x^25 -330*x^24 -12318*x^23 + 19907*x^22 + 2499070*x^21 + 4893437*x^20 -280563626*x^19 -988607815*x^18 + 19587948913*x^17 + 82489041751*x^16 -900869822474*x^15 -3924108703246*x^14 + 28042269830546*x^13 + 114713912156718*x^12 -593100669640312*x^11 -2082837774810433*x^10 + 8352745619858969*x^9 + 22803282718850801*x^8 -74538188925557309*x^7 -138923835709788870*x^6 + 383851119349296912*x^5 + 391369431758561975*x^4 -955464838357433280*x^3 -284667774573778122*x^2 + 787890703149848927*x -183006527108159431);
T[503,53]=(x -12)*(x + 6)*(x + 12)*(x^3 -14*x^2 -32*x + 648)*(x^10 + 24*x^9 + 40*x^8 -2987*x^7 -20053*x^6 + 78887*x^5 + 972179*x^4 + 827393*x^3 -9677101*x^2 -10539391*x + 30585517)*(x^26 -30*x^25 -266*x^24 + 16703*x^23 -63553*x^22 -3385281*x^21 + 32556775*x^20 + 280150941*x^19 -4898900803*x^18 -2249494887*x^17 + 348337673051*x^16 -1141085523730*x^15 -12077440783224*x^14 + 77992717660832*x^13 + 153512461235792*x^12 -2268193784963200*x^11 + 1873235291336704*x^10 + 32426383254848768*x^9 -80041167470115840*x^8 -203164642772033536*x^7 + 911036131440445440*x^6 + 106778745549656064*x^5 -4175703143677485056*x^4 + 3570960776294481920*x^3 + 5747605298276007936*x^2 -7705843712950468608*x + 523734088392310784);
T[503,59]=(x -12)*(x + 4)*(x -4)*(x^3 + 5*x^2 -16*x + 1)*(x^10 -17*x^9 -123*x^8 + 3243*x^7 -14454*x^6 + 453*x^5 + 106944*x^4 -157745*x^3 -4680*x^2 + 22898*x -3373)*(x^26 + 26*x^25 -388*x^24 -14395*x^23 + 41493*x^22 + 3415038*x^21 + 2866816*x^20 -460621478*x^19 -1101898394*x^18 + 39469836440*x^17 + 117593756598*x^16 -2264426454316*x^15 -6770666306801*x^14 + 88758579683005*x^13 + 231456847553068*x^12 -2363872601686694*x^11 -4661532565885326*x^10 + 41399140300798369*x^9 + 50836998297273180*x^8 -446105721771537835*x^7 -236223529271303252*x^6 + 2646494095526467240*x^5 + 40170590504752918*x^4 -7242816203116000495*x^3 + 1916492443040263250*x^2 + 5611436870819836349*x -429045524127372004);
T[503,61]=(x -5)*(x + 7)*(x + 11)*(x^10 + 4*x^9 -358*x^8 -1337*x^7 + 43009*x^6 + 177043*x^5 -2056331*x^4 -9861764*x^3 + 30652592*x^2 + 192168049*x + 160395869)*(x^26 -15*x^25 -866*x^24 + 12679*x^23 + 327551*x^22 -4609381*x^21 -71486542*x^20 + 945381710*x^19 + 10026684897*x^18 -120690573816*x^17 -952094473438*x^16 + 9991560565831*x^15 + 62573133758817*x^14 -542784706236590*x^13 -2838641946409584*x^12 + 19202600092455643*x^11 + 86346003821931144*x^10 -433068617265931689*x^9 -1661183646966232908*x^8 + 6074513444071509466*x^7 + 18426521323893193448*x^6 -52268775768425612801*x^5 -101348920456310389918*x^4 + 264595300824259055311*x^3 + 168480618181381921070*x^2 -623411568624411120348*x + 322196940582526466440)*(x -2)^3;
T[503,67]=(x -13)*(x + 11)*(x -7)*(x^3 -35*x^2 + 388*x -1319)*(x^10 + 6*x^9 -352*x^8 -1216*x^7 + 47943*x^6 + 44201*x^5 -2954276*x^4 + 3632530*x^3 + 68241481*x^2 -188372124*x -52161527)*(x^26 + 20*x^25 -300*x^24 -8203*x^23 + 22269*x^22 + 1372432*x^21 + 1866749*x^20 -123161993*x^19 -427706648*x^18 + 6541184343*x^17 + 32146780085*x^16 -213540462504*x^15 -1323811570671*x^14 + 4282098511780*x^13 + 33078844855246*x^12 -50450035278428*x^11 -514163895194751*x^10 + 303577526311131*x^9 + 4910699345812361*x^8 -434681459521062*x^7 -27497856022393319*x^6 -3650393398033647*x^5 + 80759307920722464*x^4 + 10566804356275043*x^3 -91946275825050658*x^2 + 12207945929443567*x -93368948728331);
T[503,71]=(x -6)*(x + 8)*(x^3 -12*x^2 + 28*x -8)*(x^26 + 35*x^25 -498*x^24 -30904*x^23 -61882*x^22 + 10608071*x^21 + 92213939*x^20 -1703982930*x^19 -25488442012*x^18 + 101111097964*x^17 + 3317136871619*x^16 + 5886505103360*x^15 -215848756752320*x^14 -1203612315669040*x^13 + 5555011360086480*x^12 + 64081315875614144*x^11 + 56049753872705408*x^10 -1202977765412399104*x^9 -4401356628265519872*x^8 + 719104998511659520*x^7 + 27407324398067286016*x^6 + 35988181681274816512*x^5 -18020337118875582464*x^4 -54925805348635099136*x^3 -14631336319838896128*x^2 + 18415700456314404864*x + 8690364614162972672)*(x^10 + x^9 -448*x^8 + 594*x^7 + 66864*x^6 -182955*x^5 -3793615*x^4 + 13001388*x^3 + 61525134*x^2 -195049108*x + 14183807)*(x );
T[503,73]=(x -6)*(x^3 -35*x^2 + 386*x -1293)*(x^26 -38*x^25 -178*x^24 + 22258*x^23 -103234*x^22 -5682040*x^21 + 47282021*x^20 + 828054646*x^19 -8946395244*x^18 -75635696906*x^17 + 991332850226*x^16 + 4452724198925*x^15 -70595861000662*x^14 -165004146674553*x^13 + 3322330795579623*x^12 + 3397611449906409*x^11 -102633599976733719*x^10 -16155459582493941*x^9 + 2001939592173503269*x^8 -879651306273885504*x^7 -22589762393164189669*x^6 + 18901372028649414730*x^5 + 120467582233176674865*x^4 -116668221199306847667*x^3 -149390876562919886784*x^2 -30006005164454285177*x + 1450612966150075198)*(x^10 + 31*x^9 + 127*x^8 -3742*x^7 -33800*x^6 -14845*x^5 + 568868*x^4 + 1173628*x^3 -1983330*x^2 -6719488*x -3955559)*(x + 6)^2;
T[503,79]=(x -16)*(x -4)*(x + 4)*(x^3 + 7*x^2 -152*x -1145)*(x^10 + 10*x^9 -542*x^8 -4173*x^7 + 91361*x^6 + 334500*x^5 -5921284*x^4 + 2538597*x^3 + 49214936*x^2 + 43253952*x + 8912581)*(x^26 -21*x^25 -890*x^24 + 23364*x^23 + 270031*x^22 -10779434*x^21 -11621519*x^20 + 2624815260*x^19 -12601083393*x^18 -346488890223*x^17 + 3460093051299*x^16 + 20071221360861*x^15 -412382890754824*x^14 + 482071623252812*x^13 + 23537096297905450*x^12 -134287802313894551*x^11 -390597911463581032*x^10 + 6406694836926029758*x^9 -17203288338331034285*x^8 -67432109269129927542*x^7 + 575943115288087605349*x^6 -1505174218475053049886*x^5 + 943158191376436885454*x^4 + 3748146903905454727313*x^3 -9575616307163415149904*x^2 + 9011057769792378357173*x -3148774395662188465736);
T[503,83]=(x -9)*(x -15)*(x + 3)*(x^3 + x^2 -8*x -3)*(x^10 -22*x^9 -161*x^8 + 6610*x^7 -33621*x^6 -182619*x^5 + 1491862*x^4 + 801664*x^3 -15595528*x^2 -2541538*x + 40035623)*(x^26 + 48*x^25 + 199*x^24 -22763*x^23 -286303*x^22 + 4082659*x^21 + 79107489*x^20 -307793492*x^19 -10678684108*x^18 + 888429115*x^17 + 824695581923*x^16 + 1489039082671*x^15 -38214786184095*x^14 -110285015112417*x^13 + 1063437704608390*x^12 + 3799327678467904*x^11 -17102767118463424*x^10 -69903225905817380*x^9 + 143539275735075486*x^8 + 672146751145970374*x^7 -458741887625964534*x^6 -3003228936435402855*x^5 -534102101073959331*x^4 + 4560131989000722112*x^3 + 3260551463035389857*x^2 -206088909452905973*x -438876183507538717);
T[503,89]=(x + 6)*(x^3 -4*x^2 -92*x -168)*(x^26 + 5*x^25 -980*x^24 -3013*x^23 + 419100*x^22 + 528231*x^21 -102191587*x^20 + 40860159*x^19 + 15578741745*x^18 -29545306843*x^17 -1531810411465*x^16 + 4998032187982*x^15 + 96614116535872*x^14 -444338241851504*x^13 -3735775808940272*x^12 + 23044681125665024*x^11 + 77676379259114752*x^10 -695058289112210944*x^9 -465353233276333824*x^8 + 11334778724683051520*x^7 -9944503517543481344*x^6 -84394966171983464448*x^5 + 145291164824619229184*x^4 + 226842602118249463808*x^3 -510467867039978078208*x^2 -181085721523902480384*x + 521041975555080126464)*(x^10 -x^9 -380*x^8 + 739*x^7 + 27890*x^6 -71001*x^5 -583997*x^4 + 1459657*x^3 + 3494049*x^2 -7972537*x -789547)*(x )^2;
T[503,97]=(x + 6)*(x^3 + 23*x^2 + 38*x -1083)*(x^26 -142*x^25 + 8608*x^24 -277306*x^23 + 4353876*x^22 + 6665340*x^21 -1699091941*x^20 + 31538774066*x^19 -160239192672*x^18 -3215567264618*x^17 + 65364236290656*x^16 -394874933302079*x^15 -1956677386947964*x^14 + 47810477092039171*x^13 -283661514869159685*x^12 -95753033477016191*x^11 + 10284656451661947135*x^10 -50151449130808276385*x^9 + 3966375907258081149*x^8 + 791369034630627236984*x^7 -2498227999052227125655*x^6 -554609014684982720226*x^5 + 15654216111692180955451*x^4 -17912683607501216848279*x^3 -25209730654529315724428*x^2 + 34321693860275559705783*x + 22816286790582459134970)*(x^10 + 57*x^9 + 1029*x^8 -276*x^7 -240656*x^6 -2939025*x^5 -7165096*x^4 + 111741584*x^3 + 985216534*x^2 + 3026058216*x + 3229338523)*(x -10)^2;

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 + 3)*(x^2 -2*x + 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[504,7]=(x^2 + 4*x + 7)^2*(x^2 + 7)^3*(x -1)^35*(x + 1)^36;
T[504,11]=(x + 2)^3*(x -6)^3*(x^2 -12)^4*(x + 6)^5*(x -2)^5*(x + 4)^15*(x -4)^16*(x )^26;
T[504,13]=(x )^4*(x + 6)^8*(x -6)^12*(x + 4)^12*(x + 2)^21*(x -2)^24;
T[504,17]=(x -4)^2*(x + 4)^4*(x^2 -12)^4*(x )^10*(x + 2)^11*(x -2)^13*(x + 6)^16*(x -6)^17;
T[504,19]=(x + 2)^4*(x -8)^8*(x -2)^12*(x -4)^17*(x + 4)^40;
T[504,23]=(x -4)^2*(x -6)^3*(x + 2)^3*(x + 4)^4*(x^2 -12)^4*(x + 6)^5*(x -2)^5*(x + 8)^8*(x -8)^11*(x )^32;
T[504,29]=(x + 8)*(x -8)*(x -10)*(x + 10)^2*(x -2)^12*(x )^14*(x + 6)^15*(x -6)^16*(x + 2)^19;
T[504,31]=(x -4)^6*(x + 8)^6*(x -8)^16*(x + 4)^26*(x )^27;
T[504,37]=(x -10)^2*(x + 2)^4*(x + 6)^6*(x + 10)^16*(x -6)^21*(x -2)^32;
T[504,41]=(x + 12)^2*(x -10)^2*(x + 10)^3*(x -12)^4*(x^2 -108)^4*(x )^10*(x + 2)^11*(x + 6)^13*(x -6)^14*(x -2)^14;
T[504,43]=(x -12)^3*(x -4)^6*(x -8)^20*(x + 4)^52;
T[504,47]=(x -4)^3*(x -8)^4*(x^2 -48)^4*(x + 4)^5*(x + 8)^6*(x -12)^11*(x + 12)^13*(x )^31;
T[504,53]=(x + 4)*(x + 12)*(x -12)*(x -4)*(x -2)^2*(x -10)^2*(x + 2)^4*(x^2 -48)^4*(x )^4*(x + 10)^5*(x + 6)^20*(x -6)^32;
T[504,59]=(x -8)^2*(x + 8)^4*(x^2 -48)^4*(x -6)^6*(x + 4)^6*(x + 12)^7*(x + 6)^10*(x -12)^12*(x -4)^12*(x )^14;
T[504,61]=(x -14)^4*(x -4)^4*(x + 6)^4*(x -8)^12*(x + 10)^17*(x -6)^17*(x + 2)^23;
T[504,67]=(x + 16)^4*(x + 12)^4*(x -8)^6*(x + 8)^6*(x -12)^8*(x -4)^21*(x + 4)^32;
T[504,71]=(x + 4)*(x -12)*(x -4)^2*(x + 12)^2*(x + 6)^3*(x + 14)^3*(x^2 -108)^4*(x -6)^5*(x -14)^5*(x + 8)^8*(x -8)^11*(x )^32;
T[504,73]=(x + 14)^7*(x -14)^8*(x + 10)^10*(x + 2)^10*(x + 6)^12*(x -2)^15*(x -10)^19;
T[504,79]=(x -16)^4*(x -12)^6*(x )^9*(x + 4)^10*(x + 16)^12*(x + 8)^17*(x -8)^23;
T[504,83]=(x + 8)*(x + 16)*(x -16)*(x -8)^3*(x -6)^6*(x -12)^8*(x -4)^9*(x + 6)^10*(x + 12)^13*(x )^14*(x + 4)^15;
T[504,89]=(x + 10)*(x -2)*(x + 2)^2*(x + 12)^2*(x -10)^3*(x -12)^4*(x^2 -12)^4*(x -14)^5*(x + 14)^9*(x )^10*(x -6)^12*(x + 6)^24;
T[504,97]=(x + 18)^2*(x + 6)^4*(x -10)^6*(x -2)^6*(x + 14)^9*(x -18)^12*(x + 2)^12*(x -14)^12*(x + 10)^18;

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 -10*x^7 + 19*x^6 + 31*x^5 -57*x^4 -28*x^3 + 57*x^2 -6*x -7)*(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^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 -x^8 -17*x^7 + 14*x^6 + 91*x^5 -57*x^4 -180*x^3 + 88*x^2 + 108*x -52)*(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 )*(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[505,7]=(x^6 + 2*x^5 -25*x^4 -39*x^3 + 133*x^2 + 111*x -232)*(x^8 + 12*x^7 + 37*x^6 -65*x^5 -553*x^4 -979*x^3 -418*x^2 + 384*x + 284)*(x^9 -39*x^7 + 13*x^6 + 521*x^5 -329*x^4 -2644*x^3 + 2292*x^2 + 3636*x -3620)*(x^9 -6*x^8 -5*x^7 + 67*x^6 -37*x^5 -119*x^4 + 62*x^3 + 48*x^2 -12*x -4)*(x )*(x + 2)^2*(x^7 -2*x^6 -25*x^5 + 66*x^4 + 90*x^3 -326*x^2 + 165*x + 14)^2;
T[505,11]=(x^6 + 11*x^5 + 17*x^4 -192*x^3 -799*x^2 -737*x + 362)*(x^8 + 9*x^7 -27*x^6 -400*x^5 -219*x^4 + 4817*x^3 + 7176*x^2 -12232*x -16784)*(x^9 -3*x^8 -33*x^7 + 98*x^6 + 233*x^5 -567*x^4 -504*x^3 + 888*x^2 + 80*x -224)*(x^9 -11*x^8 + 13*x^7 + 224*x^6 -711*x^5 -787*x^4 + 5064*x^3 -3288*x^2 -3632*x + 1040)*(x^7 -8*x^6 -x^5 + 114*x^4 -72*x^3 -554*x^2 + 213*x + 878)^2*(x + 2)^3;
T[505,13]=(x -2)*(x^6 + 3*x^5 -39*x^4 -33*x^3 + 480*x^2 -479*x -298)*(x^8 + 7*x^7 -43*x^6 -215*x^5 + 790*x^4 + 925*x^3 -3070*x^2 -1092*x + 3064)*(x^9 -3*x^8 -41*x^7 + 35*x^6 + 556*x^5 + 561*x^4 -836*x^3 -832*x^2 + 400*x -16)*(x^9 + x^8 -65*x^7 -131*x^6 + 1286*x^5 + 3317*x^4 -8768*x^3 -25672*x^2 + 18784*x + 60880)*(x -1)^2*(x^7 + x^6 -45*x^5 -59*x^4 + 664*x^3 + 1066*x^2 -3203*x -6001)^2;
T[505,17]=(x + 6)*(x^6 -x^5 -81*x^4 -34*x^3 + 1681*x^2 + 2729*x -1918)*(x^8 + 9*x^7 -27*x^6 -308*x^5 + 111*x^4 + 3089*x^3 + 1030*x^2 -9300*x -6376)*(x^9 -11*x^8 -15*x^7 + 500*x^6 -1115*x^5 -3285*x^4 + 10768*x^3 -3352*x^2 -4944*x + 1520)*(x^9 -5*x^8 -37*x^7 + 182*x^6 + 315*x^5 -1805*x^4 + 468*x^3 + 2896*x^2 -768*x -1264)*(x -3)^2*(x^7 + 7*x^6 -33*x^5 -221*x^4 + 460*x^3 + 2038*x^2 -2747*x -3871)^2;
T[505,19]=(x^6 + 18*x^5 + 94*x^4 -35*x^3 -1682*x^2 -4819*x -4240)*(x^8 -2*x^7 -114*x^6 + 121*x^5 + 4282*x^4 -1027*x^3 -57792*x^2 -3432*x + 232912)*(x^9 + 2*x^8 -58*x^7 -135*x^6 + 814*x^5 + 1713*x^4 -3020*x^3 -5616*x^2 + 576*x + 112)*(x^9 + 2*x^8 -66*x^7 -171*x^6 + 1054*x^5 + 3441*x^4 + 512*x^3 -5832*x^2 -4832*x -944)*(x )*(x + 5)^2*(x^7 -19*x^6 + 108*x^5 + 24*x^4 -2032*x^3 + 4400*x^2 + 5824*x -18880)^2;
T[505,23]=(x + 6)*(x^6 + 9*x^5 -15*x^4 -200*x^3 + 109*x^2 + 575*x + 86)*(x^8 + 21*x^7 + 101*x^6 -592*x^5 -6169*x^4 -8023*x^3 + 64592*x^2 + 234336*x + 226784)*(x^9 -17*x^8 + 83*x^7 + 150*x^6 -2939*x^5 + 11605*x^4 -20864*x^3 + 16760*x^2 -4112*x + 16)*(x^9 -19*x^8 + 53*x^7 + 708*x^6 -3045*x^5 -3527*x^4 + 4924*x^3 + 256*x^2 -512*x -64)*(x -1)^2*(x^7 + 7*x^6 -48*x^5 -304*x^4 + 432*x^3 + 2160*x^2 -1536*x -64)^2;
T[505,29]=(x + 6)*(x^6 + 7*x^5 -87*x^4 -570*x^3 + 1311*x^2 + 7029*x + 1154)*(x^8 -3*x^7 -143*x^6 + 680*x^5 + 4645*x^4 -33343*x^3 + 43506*x^2 + 30236*x -7160)*(x^9 -7*x^8 -81*x^7 + 560*x^6 + 1491*x^5 -10413*x^4 -4796*x^3 + 57504*x^2 -18624*x -56560)*(x^9 -9*x^8 -145*x^7 + 1494*x^6 + 5073*x^5 -73477*x^4 + 19048*x^3 + 997784*x^2 -661424*x -4406992)*(x + 4)^2*(x^7 + 2*x^6 -60*x^5 -88*x^4 + 880*x^3 + 1248*x^2 -2112*x -640)^2;
T[505,31]=(x -8)*(x^6 + 28*x^5 + 302*x^4 + 1605*x^3 + 4404*x^2 + 5819*x + 2776)*(x^8 + 12*x^7 -22*x^6 -655*x^5 -1280*x^4 + 5163*x^3 + 9508*x^2 -11624*x -4240)*(x^9 -12*x^8 -26*x^7 + 861*x^6 -3496*x^5 + 1083*x^4 + 19460*x^3 -34752*x^2 + 8928*x + 10448)*(x^9 -20*x^8 + 34*x^7 + 1481*x^6 -7420*x^5 -26581*x^4 + 202640*x^3 -5976*x^2 -1364992*x + 1412080)*(x + 9)^2*(x^7 -7*x^6 -92*x^5 + 900*x^4 -1472*x^3 -3872*x^2 + 11712*x -7616)^2;
T[505,37]=(x -2)*(x^6 -8*x^5 -27*x^4 + 190*x^3 + 354*x^2 -219*x -322)*(x^8 + 16*x^7 + 89*x^6 + 194*x^5 + 92*x^4 -155*x^3 -154*x^2 -20*x + 8)*(x^9 + 10*x^8 -211*x^7 -1908*x^6 + 15114*x^5 + 117509*x^4 -413152*x^3 -2752056*x^2 + 3070816*x + 18980624)*(x^9 -6*x^8 -179*x^7 + 1272*x^6 + 7048*x^5 -55807*x^4 -93880*x^3 + 816856*x^2 + 357376*x -2988656)*(x + 2)^2*(x^7 -123*x^5 -100*x^4 + 2990*x^3 + 696*x^2 -5103*x -918)^2;
T[505,41]=(x -2)*(x^6 + 25*x^5 + 164*x^4 -687*x^3 -13007*x^2 -55431*x -77518)*(x^8 + 11*x^7 -94*x^6 -893*x^5 + 2631*x^4 + 16865*x^3 -4306*x^2 -48852*x -2888)*(x^9 -7*x^8 -176*x^7 + 1259*x^6 + 9581*x^5 -69661*x^4 -170040*x^3 + 1241832*x^2 + 917456*x -6120976)*(x^9 -13*x^8 -170*x^7 + 2369*x^6 + 8239*x^5 -128953*x^4 -137948*x^3 + 2429360*x^2 + 365568*x -12104240)*(x -8)^2*(x^7 + 2*x^6 -160*x^5 -256*x^4 + 3840*x^3 + 10112*x^2 + 6144*x + 1024)^2;
T[505,43]=(x + 6)*(x^6 -22*x^5 + 57*x^4 + 1884*x^3 -17202*x^2 + 50595*x -40486)*(x^8 + 24*x^7 + 105*x^6 -1496*x^5 -14466*x^4 -11393*x^3 + 285556*x^2 + 1126352*x + 1275712)*(x^9 -12*x^8 -167*x^7 + 2072*x^6 + 7898*x^5 -98505*x^4 -189884*x^3 + 1545024*x^2 + 2581120*x -3001216)*(x^9 + 32*x^8 + 337*x^7 + 638*x^6 -13498*x^5 -113569*x^4 -379328*x^3 -573192*x^2 -304928*x -2704)*(x + 8)^2*(x^7 -32*x^6 + 280*x^5 + 896*x^4 -25616*x^3 + 121024*x^2 -120256*x -235264)^2;
T[505,47]=(x -6)*(x^6 + 32*x^5 + 359*x^4 + 1327*x^3 -3663*x^2 -36999*x -66178)*(x^8 + 42*x^7 + 589*x^6 + 1371*x^5 -45369*x^4 -495453*x^3 -2086552*x^2 -3736192*x -2365696)*(x^9 -34*x^8 + 373*x^7 -653*x^6 -14721*x^5 + 96663*x^4 -159036*x^3 -155232*x^2 + 364096*x + 103040)*(x^9 -42*x^8 + 643*x^7 -3899*x^6 + 1091*x^5 + 73075*x^4 -128168*x^3 -511416*x^2 + 699632*x + 1603888)*(x -7)^2*(x^7 + 13*x^6 -36*x^5 -1120*x^4 -4832*x^3 -4176*x^2 + 9792*x + 12096)^2;
T[505,53]=(x -6)*(x^6 + 7*x^5 -101*x^4 -142*x^3 + 1403*x^2 -1575*x -2)*(x^8 + 3*x^7 -387*x^6 -1792*x^5 + 43653*x^4 + 272579*x^3 -1021620*x^2 -9121624*x -13296596)*(x^9 -5*x^8 -299*x^7 + 876*x^6 + 29927*x^5 -16783*x^4 -999642*x^3 -2089876*x^2 -89868*x + 1344532)*(x^9 -13*x^8 -225*x^7 + 2914*x^6 + 15713*x^5 -200421*x^4 -392664*x^3 + 4390640*x^2 + 2140332*x -2113540)*(x + 2)^2*(x^7 + 8*x^6 -252*x^5 -2032*x^4 + 17408*x^3 + 146944*x^2 -210624*x -2213632)^2;
T[505,59]=(x + 6)*(x^6 + 11*x^5 -227*x^4 -1521*x^3 + 17240*x^2 + 22077*x -265306)*(x^8 + 21*x^7 -23*x^6 -2337*x^5 -4558*x^4 + 81265*x^3 + 176264*x^2 -857752*x -1071856)*(x^9 -23*x^8 + 31*x^7 + 2121*x^6 -6998*x^5 -67423*x^4 + 179232*x^3 + 867160*x^2 -690000*x -2324000)*(x^9 -39*x^8 + 409*x^7 + 2659*x^6 -89022*x^5 + 738377*x^4 -2748680*x^3 + 4257864*x^2 -431232*x -3595952)*(x + 14)^2*(x^7 -16*x^6 -49*x^5 + 1128*x^4 + 1338*x^3 -11046*x^2 -1023*x + 18680)^2;
T[505,61]=(x -2)*(x^6 + 11*x^5 -17*x^4 -337*x^3 -84*x^2 + 2407*x + 1546)*(x^8 -13*x^7 -173*x^6 + 2475*x^5 + 6178*x^4 -125573*x^3 + 30534*x^2 + 1307892*x + 1300168)*(x^9 + 17*x^8 -227*x^7 -4471*x^6 + 466*x^5 + 175555*x^4 + 325180*x^3 -1717776*x^2 -5089488*x -2625008)*(x^9 + x^8 -443*x^7 -479*x^6 + 64428*x^5 + 87807*x^4 -3522560*x^3 -5571000*x^2 + 52995136*x + 48868912)*(x -4)^2*(x^7 + 6*x^6 -180*x^5 -472*x^4 + 7152*x^3 + 12448*x^2 -45760*x + 17792)^2;
T[505,67]=(x + 4)*(x^6 -29*x^5 + 163*x^4 + 1740*x^3 -16863*x^2 + 17187*x + 51364)*(x^8 + 43*x^7 + 571*x^6 + 314*x^5 -52481*x^4 -417923*x^3 -1071126*x^2 -406840*x + 108748)*(x^9 -17*x^8 + 5*x^7 + 1336*x^6 -6141*x^5 -21167*x^4 + 185078*x^3 -152420*x^2 -1075628*x + 1897132)*(x^9 + 47*x^8 + 785*x^7 + 4762*x^6 -7923*x^5 -201481*x^4 -621900*x^3 + 37064*x^2 + 1381428*x + 636940)*(x -2)^2*(x^7 -34*x^6 + 349*x^5 + 68*x^4 -23296*x^3 + 149424*x^2 -337723*x + 183394)^2;
T[505,71]=(x + 8)*(x^6 + 33*x^5 + 374*x^4 + 1510*x^3 -159*x^2 -7975*x + 5224)*(x^8 + 37*x^7 + 486*x^6 + 2590*x^5 + 3377*x^4 -13571*x^3 -32440*x^2 + 6464*x + 36352)*(x^9 -35*x^8 + 246*x^7 + 4614*x^6 -91111*x^5 + 610013*x^4 -1628336*x^3 + 91904*x^2 + 5752832*x -3629056)*(x^9 -23*x^8 -282*x^7 + 8366*x^6 + 14761*x^5 -886071*x^4 + 86256*x^3 + 27464960*x^2 + 41692160*x -47833088)*(x -13)^2*(x^7 -9*x^6 -200*x^5 + 1588*x^4 + 7248*x^3 -39904*x^2 -35840*x + 189632)^2;
T[505,73]=(x -10)*(x^6 + 17*x^5 -85*x^4 -2142*x^3 -3737*x^2 + 22117*x -13214)*(x^8 -x^7 -291*x^6 + 890*x^5 + 23289*x^4 -101801*x^3 -246896*x^2 + 603048*x -183884)*(x^9 + 5*x^8 -283*x^7 -1974*x^6 + 19329*x^5 + 164479*x^4 -220488*x^3 -3206880*x^2 -2719908*x + 3892460)*(x^9 + 27*x^8 + 107*x^7 -1870*x^6 -9353*x^5 + 43825*x^4 + 152530*x^3 -450604*x^2 -603796*x + 1489060)*(x -8)^2*(x^7 + 2*x^6 -128*x^5 -320*x^4 + 3968*x^3 + 13184*x^2 -17408*x -68608)^2;
T[505,79]=(x -4)*(x^6 + 16*x^5 -150*x^4 -2389*x^3 + 6260*x^2 + 78315*x -144268)*(x^8 -350*x^6 -521*x^5 + 26924*x^4 + 18947*x^3 -331632*x^2 + 3200*x + 521216)*(x^9 + 24*x^8 -74*x^7 -5529*x^6 -28676*x^5 + 204167*x^4 + 1563928*x^3 -899968*x^2 -13741056*x -2590720)*(x^9 -28*x^8 + 102*x^7 + 3171*x^6 -26648*x^5 -57481*x^4 + 1110672*x^3 -1671648*x^2 -11195136*x + 29601536)*(x + 9)^2*(x^7 -15*x^6 -148*x^5 + 3496*x^4 -15520*x^3 -10832*x^2 + 177152*x -244160)^2;
T[505,83]=(x^6 + 8*x^5 -206*x^4 -1047*x^3 + 8042*x^2 + 19183*x -97496)*(x^8 -8*x^7 -196*x^6 + 71*x^5 + 6812*x^4 + 8591*x^3 -61874*x^2 -139268*x -76420)*(x^9 -26*x^8 -166*x^7 + 8409*x^6 -28054*x^5 -554725*x^4 + 2571512*x^3 + 8134180*x^2 -21233720*x -47043316)*(x^9 -10*x^8 -280*x^7 + 1627*x^6 + 28540*x^5 -11525*x^4 -1085994*x^3 -4410920*x^2 -6563560*x -3336244)*(x )*(x + 4)^2*(x^7 + 22*x^6 -149*x^5 -6456*x^4 -28804*x^3 + 332730*x^2 + 3151505*x + 7092412)^2;
T[505,89]=(x -2)*(x^6 + 28*x^5 + 94*x^4 -4205*x^3 -52812*x^2 -218809*x -251894)*(x^8 + 8*x^7 -388*x^6 -2249*x^5 + 50916*x^4 + 158027*x^3 -2419750*x^2 -572460*x + 23143768)*(x^9 + 10*x^8 -254*x^7 -3713*x^6 + 2250*x^5 + 236199*x^4 + 870996*x^3 -2752544*x^2 -20772080*x -30713200)*(x^9 -38*x^8 + 228*x^7 + 7695*x^6 -113890*x^5 + 98543*x^4 + 5915680*x^3 -27861368*x^2 + 9169568*x + 8587504)*(x -14)^2*(x^7 + 22*x^6 + 96*x^5 -464*x^4 -2128*x^3 + 5472*x^2 + 4672*x -10880)^2;
T[505,97]=(x + 6)*(x^6 -4*x^5 -511*x^4 + 1781*x^3 + 55485*x^2 -83473*x -1522162)*(x^8 -2*x^7 -585*x^6 + 2257*x^5 + 99173*x^4 -467441*x^3 -4484162*x^2 + 13494532*x + 60777944)*(x^9 + 26*x^8 -231*x^7 -10557*x^6 -35833*x^5 + 1075477*x^4 + 8597584*x^3 -14624792*x^2 -314124848*x -773246512)*(x^9 -16*x^8 -169*x^7 + 3575*x^6 -4945*x^5 -134027*x^4 + 506248*x^3 + 505112*x^2 -3262352*x + 1100048)*(x -2)^2*(x^7 + 28*x^6 + 25*x^5 -5628*x^4 -62530*x^3 -249976*x^2 -314503*x + 59842)^2;

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 + 5*x^2 + 4*x -5)^2*(x^3 -3*x^2 + 3)^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 + 1)^2*(x + 3)^2*(x -4)^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[506,7]=(x + 3)*(x -1)*(x -5)*(x -3)*(x^3 -20*x + 8)*(x^3 -12*x -8)*(x^4 -3*x^3 -8*x^2 + 20*x -8)*(x^5 -x^4 -24*x^3 + 4*x^2 + 88*x -64)*(x + 1)^2*(x + 4)^2*(x^3 -3*x^2 + 3)^2*(x^3 + 3*x^2 -10*x + 1)^2*(x^5 + 3*x^4 -20*x^3 -71*x^2 -6*x + 92)^2*(x^6 + x^5 -18*x^4 + 7*x^3 + 70*x^2 -92*x + 32)^2*(x + 2)^4*(x^2 -2*x -4)^4;
T[506,11]=(x^2 -2*x + 11)*(x^4 + 6*x^3 + 26*x^2 + 66*x + 121)^2*(x + 1)^27*(x -1)^32;
T[506,13]=(x + 7)*(x -5)*(x + 3)*(x^3 -5*x^2 -2*x + 15)*(x^4 -6*x^3 -21*x^2 + 103*x + 137)*(x^5 -10*x^4 -23*x^3 + 377*x^2 + 33*x -3578)*(x + 1)^2*(x + 2)^2*(x^3 + x^2 -4*x + 1)^2*(x^5 + 15*x^4 + 83*x^3 + 208*x^2 + 232*x + 89)^2*(x^6 + 3*x^5 -33*x^4 -94*x^3 + 226*x^2 + 783*x + 502)^2*(x^3 + 3*x^2 -6*x -17)^3*(x -4)^4*(x -3)^9;
T[506,17]=(x + 5)*(x + 3)*(x -5)*(x + 1)*(x^3 + 3*x^2 -54*x -219)*(x^3 + x^2 -10*x -1)*(x^5 -61*x^3 + 57*x^2 + 541*x + 426)*(x^4 -12*x^3 + x^2 + 301*x -419)*(x -3)^2*(x^3 + 9*x^2 + 14*x -25)^2*(x^3 -3*x^2 + 1)^2*(x^5 + 9*x^4 -16*x^3 -257*x^2 -72*x + 1492)^2*(x^6 -5*x^5 -48*x^4 + 253*x^3 -98*x^2 -596*x + 296)^2*(x^2 -6*x + 4)^4*(x + 2)^6;
T[506,19]=(x -2)*(x^3 -15*x^2 + 70*x -99)*(x^3 -9*x^2 -30*x + 307)*(x^4 -5*x^3 -28*x^2 + 101*x + 170)*(x^5 + x^4 -12*x^3 -13*x^2 + 22*x + 8)*(x + 6)^2*(x^3 + 5*x^2 -9*x -5)^2*(x^3 -9*x^2 + 15*x + 17)^2*(x^5 + 5*x^4 -13*x^3 -41*x^2 -12*x + 4)^2*(x^6 -x^5 -101*x^4 + 153*x^3 + 2712*x^2 -4180*x -13616)^2*(x )^4*(x + 2)^13;
T[506,23]=(x^2 + x + 23)^2*(x -1)^32*(x + 1)^33;
T[506,29]=(x + 1)*(x + 7)*(x -9)*(x^3 + 9*x^2 -81)*(x^3 + 5*x^2 -68*x -297)*(x^5 -4*x^4 -7*x^3 + 31*x^2 + x -18)*(x^4 + 4*x^3 -41*x^2 -191*x -155)*(x -2)^2*(x -3)^2*(x^3 -63*x + 9)^2*(x^3 -12*x^2 + 35*x -25)^2*(x^5 + 8*x^4 -42*x^3 -295*x^2 + 281*x + 2011)^2*(x^6 -6*x^5 -108*x^4 + 591*x^3 + 2821*x^2 -13841*x -6302)^2*(x )^4*(x + 3)^9;
T[506,31]=(x + 7)*(x -1)*(x -5)*(x^3 -6*x^2 -24*x + 136)*(x^3 + 2*x^2 -40*x -8)*(x^5 -11*x^4 -26*x^3 + 344*x^2 + 536*x -896)*(x^4 + 3*x^3 -38*x^2 + 40*x -8)*(x + 5)^2*(x^3 + 4*x^2 -77*x -235)^2*(x^3 -21*x + 17)^2*(x^5 + 4*x^4 -50*x^3 + 17*x^2 + 193*x -161)^2*(x^6 + 8*x^5 -82*x^4 -575*x^3 + 1401*x^2 + 10275*x + 9616)^2*(x )^2*(x^2 -45)^4*(x -7)^5;
T[506,37]=(x -1)*(x -5)*(x + 5)*(x + 7)*(x^3 + 11*x^2 -4*x -125)*(x^3 -15*x^2 + 12*x + 361)*(x^4 -4*x^3 -21*x^2 + 109*x -101)*(x^5 + 2*x^4 -81*x^3 -107*x^2 + 1141*x + 1646)*(x + 4)^2*(x^3 + 14*x^2 + 61*x + 79)^2*(x^3 + 18*x^2 + 81*x + 27)^2*(x^5 -8*x^4 -37*x^3 + 287*x^2 + 414*x -1948)^2*(x^6 -2*x^5 -81*x^4 + 49*x^3 + 1468*x^2 + 96*x -248)^2*(x^2 -2*x -4)^4*(x -3)^6;
T[506,41]=(x -4)*(x + 4)*(x + 2)*(x^3 -16*x^2 + 52*x -40)*(x^3 + 12*x^2 -36*x -408)*(x^5 + 4*x^4 -152*x^3 -184*x^2 + 6032*x -13536)*(x^4 -8*x^3 -60*x^2 + 680*x -1472)*(x -6)^2*(x + 6)^2*(x^3 -12*x^2 + 21*x + 17)^2*(x^3 -6*x^2 -79*x + 499)^2*(x^5 + 6*x^4 -104*x^3 -693*x^2 + 1327*x + 10459)^2*(x^6 + 2*x^5 -136*x^4 + 31*x^3 + 2805*x^2 -4041*x + 206)^2*(x^2 -2*x -19)^4*(x + 8)^5;
T[506,43]=(x + 8)*(x + 2)*(x + 10)*(x^3 + 3*x^2 -6*x + 1)*(x^3 + x^2 -10*x -1)*(x^4 + 15*x^3 -36*x^2 -737*x + 1298)*(x^5 -9*x^4 -114*x^3 + 541*x^2 + 4444*x + 6400)*(x -8)^2*(x^3 -6*x^2 -27*x + 135)^2*(x^3 -39*x -19)^2*(x^5 + 8*x^4 -57*x^3 -439*x^2 + 386*x + 3988)^2*(x^6 -10*x^5 -145*x^4 + 1163*x^3 + 7418*x^2 -32300*x -127184)^2*(x -10)^3*(x + 6)^4*(x )^8;
T[506,47]=(x -3)*(x + 7)*(x^3 -6*x^2 -72*x + 456)*(x^3 + 6*x^2 -8*x -24)*(x^5 -9*x^4 -126*x^3 + 1352*x^2 + 104*x -18816)*(x^4 + 5*x^3 -94*x^2 -536*x -712)*(x -5)^2*(x + 1)^2*(x^3 + 10*x^2 + 16*x -40)^2*(x^3 -6*x^2 -24*x -8)^2*(x^5 + 34*x^4 + 423*x^3 + 2362*x^2 + 5872*x + 5272)^2*(x^6 -14*x^5 -65*x^4 + 1978*x^3 -11544*x^2 + 25624*x -17536)^2*(x )^2*(x -8)^4*(x^2 -5)^4;
T[506,53]=(x + 14)*(x -10)*(x -14)*(x^3 + 21*x^2 + 126*x + 213)*(x^3 + 7*x^2 + 6*x -9)*(x^5 -x^4 -146*x^3 + 279*x^2 + 5032*x -16428)*(x^4 + 7*x^3 -180*x^2 -883*x + 6178)*(x -6)^2*(x + 4)^2*(x^3 -18*x^2 + 87*x -73)^2*(x^3 -6*x^2 -x + 31)^2*(x^5 -2*x^4 -93*x^3 -29*x^2 + 42*x + 4)^2*(x^6 + 4*x^5 -65*x^4 -303*x^3 -112*x^2 + 824*x + 808)^2*(x^2 + 8*x -4)^4*(x + 6)^5;
T[506,59]=(x + 10)*(x + 6)*(x -6)*(x + 8)*(x^3 + 3*x^2 -72*x + 149)*(x^3 -9*x^2 -36*x + 153)*(x^5 + 9*x^4 -82*x^3 -519*x^2 + 1322*x + 2520)*(x^4 + 15*x^3 -72*x^2 -1323*x -1620)*(x )*(x^3 + 9*x^2 -9*x -153)^2*(x^3 + 25*x^2 + 191*x + 415)^2*(x^5 + 13*x^4 -65*x^3 -877*x^2 + 136*x + 8368)^2*(x^6 -39*x^5 + 603*x^4 -4657*x^3 + 18388*x^2 -32816*x + 16064)^2*(x -12)^3*(x -5)^4*(x^2 -4*x -16)^4;
T[506,61]=(x -8)*(x -2)*(x -6)*(x + 6)*(x^3 -24*x^2 + 156*x -152)*(x^3 -4*x^2 -172*x + 328)*(x^5 + 10*x^4 -68*x^3 -624*x^2 -336*x + 256)*(x^4 -10*x^3 -20*x^2 + 224*x + 496)*(x^3 + 6*x^2 -81*x -159)^2*(x^3 + 12*x^2 + 35*x -1)^2*(x^5 -18*x^4 + 61*x^3 + 129*x^2 -326*x -4)^2*(x^6 + 22*x^5 + 21*x^4 -1843*x^3 -6508*x^2 + 17904*x + 27656)^2*(x + 8)^4*(x -12)^4*(x^2 -4*x -76)^4;
T[506,67]=(x -7)*(x + 5)*(x -9)*(x + 3)*(x^3 -18*x^2 + 96*x -152)*(x^3 -10*x^2 -56*x + 584)*(x^5 + 15*x^4 -146*x^3 -3144*x^2 -9528*x + 23072)*(x^4 + 3*x^3 -22*x^2 -24*x + 8)*(x + 10)^2*(x^3 + 10*x^2 + 16*x -40)^2*(x^3 -6*x^2 -144*x + 456)^2*(x^5 + 4*x^4 -128*x^3 -208*x^2 + 3184*x + 1568)^2*(x^6 -8*x^5 -192*x^4 + 1600*x^3 + 4176*x^2 -32864*x -8576)^2*(x^2 + 10*x + 20)^4*(x + 7)^6;
T[506,71]=(x + 7)*(x + 9)*(x -3)*(x + 5)*(x^3 -108*x + 216)*(x^3 -4*x^2 -84*x + 440)*(x^5 -11*x^4 -216*x^3 + 2444*x^2 + 10120*x -119616)*(x^4 + 23*x^3 + 60*x^2 -900*x -1000)*(x -5)^2*(x^3 + 18*x^2 -21*x -1007)^2*(x^3 + 18*x^2 + 95*x + 125)^2*(x^5 -10*x^4 -190*x^3 + 1763*x^2 + 8433*x -73601)^2*(x^6 -18*x^5 -66*x^4 + 2527*x^3 -7211*x^2 -53901*x + 192376)^2*(x )^2*(x + 3)^4*(x^2 -20*x + 95)^4;
T[506,73]=(x + 4)*(x + 16)*(x -8)*(x^3 -12*x^2 -180*x + 2152)*(x^3 -4*x^2 -60*x + 200)*(x^4 + 8*x^3 + 4*x^2 -40*x -32)*(x^5 -10*x^4 -212*x^3 + 800*x^2 + 15984*x + 40768)*(x -6)^2*(x + 8)^2*(x^3 + 9*x^2 -48*x -73)^2*(x^3 -19*x^2 + 64*x + 109)^2*(x^5 + 31*x^4 + 315*x^3 + 1080*x^2 + 44*x -3659)^2*(x^6 + 9*x^5 -59*x^4 -276*x^3 + 1052*x^2 + 1387*x -2878)^2*(x^2 -22*x + 101)^4*(x -4)^5;
T[506,79]=(x + 11)*(x -11)*(x + 7)*(x -17)*(x^3 -2*x^2 -128*x -344)*(x^3 + 6*x^2 -8)*(x^5 -7*x^4 -290*x^3 + 1016*x^2 + 20712*x + 37888)*(x^4 + 3*x^3 -134*x^2 -408*x + 200)*(x + 12)^2*(x + 5)^2*(x^3 -9*x^2 + 24*x -19)^2*(x^3 -5*x^2 -204*x + 1175)^2*(x^5 + 3*x^4 -128*x^3 -109*x^2 + 3258*x + 2476)^2*(x^6 + 15*x^5 -248*x^4 -4399*x^3 -218*x^2 + 163924*x + 321344)^2*(x + 10)^4*(x^2 + 4*x -76)^4;
T[506,83]=(x -2)*(x^3 -3*x^2 + 3)*(x^3 + 15*x^2 -27)*(x^4 -3*x^3 -206*x^2 + 369*x + 3026)*(x^5 + 33*x^4 + 364*x^3 + 1407*x^2 + 656*x -816)*(x^3 -21*x^2 + 63*x + 541)^2*(x^5 + 43*x^4 + 621*x^3 + 2769*x^2 -8510*x -71188)^2*(x^6 -43*x^5 + 653*x^4 -3849*x^3 + 2770*x^2 + 40348*x -59216)^2*(x -14)^3*(x -12)^3*(x^2 + 22*x + 116)^4*(x + 6)^5*(x + 11)^6;
T[506,89]=(x -4)*(x + 14)*(x + 4)*(x -8)*(x^3 + 12*x^2 -192)*(x^4 -8*x^3 -176*x^2 + 64*x + 2560)*(x^5 -156*x^3 -208*x^2 + 2432*x + 2304)*(x -6)^2*(x + 6)^2*(x^3 + 19*x^2 + 38*x -5)^2*(x^3 -21*x^2 -54*x + 2071)^2*(x^5 -15*x^4 -62*x^3 + 1009*x^2 + 1830*x -4804)^2*(x^6 -17*x^5 -116*x^4 + 4225*x^3 -33164*x^2 + 105376*x -115096)^2*(x + 16)^3*(x -15)^4*(x^2 + 12*x + 16)^4;
T[506,97]=(x -16)*(x -2)*(x^3 + 14*x^2 + 24*x -72)*(x^3 + 6*x^2 -8)*(x^5 -22*x^4 + 36*x^3 + 1888*x^2 -12800*x + 21152)*(x^4 + 6*x^3 -192*x^2 + 328*x + 1856)*(x -6)^2*(x + 10)^2*(x + 8)^2*(x^3 + 9*x^2 + 6*x -19)^2*(x^3 + 33*x^2 + 350*x + 1201)^2*(x^5 -17*x^4 + 499*x^2 -266*x -3716)^2*(x^6 -19*x^5 -214*x^4 + 5079*x^3 -5144*x^2 -148208*x -33464)^2*(x + 7)^4*(x^2 -22*x + 76)^4;

T[507,2]=(x^2 -2*x -1)*(x^2 + x -4)*(x^2 -x -4)*(x^3 + 3*x^2 -4*x -13)*(x^3 + x^2 -2*x -1)*(x^3 -x^2 -2*x + 1)*(x^3 -3*x^2 -4*x + 13)*(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 + 1)*(x + 2)*(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[507,7]=(x + 2)*(x -4)*(x -2)*(x^2 + 3*x -2)*(x^2 -3*x -2)*(x^2 -12)*(x^2 -3)*(x^3 -2*x^2 -x + 1)*(x^3 + 10*x^2 + 31*x + 29)*(x^3 -10*x^2 + 31*x -29)*(x^3 + 2*x^2 -x -1)*(x + 4)^2*(x^3 + 3*x^2 -4*x -13)^2*(x^3 -3*x^2 -4*x + 13)^2*(x^2 -8)^3*(x )^4;
T[507,11]=(x + 4)*(x^3 -x^2 -30*x + 43)*(x^3 + x^2 -30*x -43)*(x^3 -5*x^2 -8*x + 41)*(x^3 + 5*x^2 -8*x -41)*(x -4)^2*(x^2 -12)^2*(x^3 + 8*x^2 + 19*x + 13)^2*(x^3 -8*x^2 + 19*x -13)^2*(x )^4*(x -2)^5*(x + 2)^7;
T[507,13]=(x -1)*(x + 1)^2*(x )^44;
T[507,17]=(x -6)^2*(x + 7)^2*(x^2 -x -4)^2*(x^3 + 7*x^2 + 14*x + 7)^2*(x^3 + x