\\ an_s2g0new_501-600_hiprec.gp
\\ This is a PARI readable nonnormalized basis for S_2(Gamma_0(N)) for N 
\\ in the range:  501 <= N <= 600
\\ The number of a_n computed is always at least 500.
\\ William Stein (was@math.berkeley.edu)

E[501,1] = [x, [1,1,-1,-1,-4,-1,4,-3,1,-4,4,1,6,4,4,-1,0,1,4,4,-4,4,-8,3,11,6,-1,-4,6,4,0,5,-4,0,-16,-1,-6,4,-6,12,0,-4,-6,-4,-4,-8,8,1,9,11,0,-6,12,-1,-16,-12,-4,6,12,-4,2,0,4,7,-24,-4,-2,0,8,-16,-12,-3,-2,-6,-11,-4,16,-6,-2,4,1,0,8,4,0,-6,-6,-12,-6,-4,24,8,0,8,-16,-5,10,9,4,-11,-4,0,6,-18,16,12,12,1,6,-16,6,-4,-12,-4,32,-6,6,12,0,-12,5,2,0,0,-24,4,4,-3,6,-24,0,4,16,-2,4,0,-2,8,2,16,-8,-12,24,-1,-24,-2,-9,6,-8,-11,-22,-12,0,16,0,6,-18,-2,-12,-20,-32,1,-18,0,16,8,1,12,23,0,4,6,-18,-6,44,-4,-12,-6,12,4,-14,24,-2,24,24,0,0,-8,-4,-16,0,-7,2,10,24,-9,-8,4,4,-33,2,-4,24,0,0,6,-8,-6,16,16,-20,-12,12,12,24,3,0,6,2,16,0,6,-20,20,11,-12,4,4,26,32,-16,-18,-10,6,-32,-12,2,0,-8,-4,6,5,-1,-2,-36,0,24,0,-8,-24,28,-4,-32,4,0,-17,-16,6,-24,24,6,0,0,12,-48,16,6,2,8,4,30,0,-24,-2,44,-8,30,2,0,48,-2,-8,20,12,16,24,0,5,-17,-24,-10,2,-10,-9,-48,18,-4,-8,-48,11,-24,-22,4,-4,-8,0,2,-16,-6,0,16,18,10,-18,-16,2,14,-12,24,-28,-12,-32,0,-1,66,-18,-6,0,32,16,26,-8,-6,1,8,4,-22,23,12,0,0,4,8,18,-32,-18,4,6,10,44,-6,20,-10,-12,48,6,0,12,0,12,-3,-14,-5,-24,8,-2,8,8,0,24,48,0,2,0,24,-24,36,-4,2,16,-4,0,-24,3,-64,2,-6,-10,-12,24,0,-27,0,-8,8,-4,-14,4,-16,-11,12,2,0,4,-4,24,-24,0,-10,0,2,-6,48,-8,-32,30,-2,16,-12,-16,-26,-20,8,-36,0,12,8,-12,-24,24,-16,1,-26,0,24,-6,-32,2,10,48,9,0,12,-6,24,-20,8,28,6,11,0,12,22,4,-96,12,-34,26,0,-32,-30,-16,-22,-6,0,-10,20,-6,-8,-32,18,-36,-24,2,44,0,12,-8,-4,20,-36,6,32,-5,-40,-1,-38,-6,18,-36,36,0,0,24,-16,0,-48,-8,-18,24]];
E[501,2] = [x^5-5*x^3+4*x+1, [1,x,-1,x^2-2,x^4-x^3-5*x^2+3*x+3,-x,-x^4+x^3+4*x^2-4*x-2,x^3-4*x,1,-x^4+3*x^2-x-1,-3*x^4+x^3+13*x^2-5*x-7,-x^2+2,3*x^4-2*x^3-14*x^2+8*x+6,x^4-x^3-4*x^2+2*x+1,-x^4+x^3+5*x^2-3*x-3,x^4-6*x^2+4,2*x^3+2*x^2-8*x-3,x,x^2-6,-2*x^4+9*x^2-3*x-5,x^4-x^3-4*x^2+4*x+2,x^4-2*x^3-5*x^2+5*x+3,-x^4+x^3+8*x^2-4*x-9,-x^3+4*x,x^4+x^3-3*x^2-2*x-2,-2*x^4+x^3+8*x^2-6*x-3,-1,x^4-x^3-6*x^2+5*x+3,5*x^4-x^3-23*x^2+8*x+11,x^4-3*x^2+x+1,-2*x^4+9*x^2-x-8,-3*x^3+8*x-1,3*x^4-x^3-13*x^2+5*x+7,2*x^4+2*x^3-8*x^2-3*x,x^4-4*x^2+3*x,x^2-2,-3*x^4-2*x^3+12*x^2+7*x-7,x^3-6*x,-3*x^4+2*x^3+14*x^2-8*x-6,2*x^4-x^3-9*x^2+5*x+4,-x^4-2*x^3+3*x^2+8*x+2,-x^4+x^3+4*x^2-2*x-1,-5*x^4+21*x^2-x-10,4*x^4-2*x^3-21*x^2+9*x+13,x^4-x^3-5*x^2+3*x+3,x^4+3*x^3-4*x^2-5*x+1,-2*x^4+2*x^3+7*x^2-8*x-1,-x^4+6*x^2-4,-2*x^4+x^3+10*x^2-6*x-9,x^4+2*x^3-2*x^2-6*x-1,-2*x^3-2*x^2+8*x+3,-5*x^4+2*x^3+22*x^2-11*x-10,-5*x^4-x^3+24*x^2+3*x-11,-x,-x^4+x^3+7*x^2-9,-3*x^4+x^3+13*x^2-5*x-3,-x^2+6,-x^4+2*x^3+8*x^2-9*x-5,7*x^4-x^3-34*x^2+9*x+17,2*x^4-9*x^2+3*x+5,2*x^4+4*x^3-8*x^2-13*x+2,-x^3-x^2+2,-x^4+x^3+4*x^2-4*x-2,-5*x^4+20*x^2-x-8,-x^4+3*x^3+5*x^2-10*x+2,-x^4+2*x^3+5*x^2-5*x-3,9*x^4-2*x^3-42*x^2+14*x+18,2*x^4-2*x^3-7*x^2+8*x+4,x^4-x^3-8*x^2+4*x+9,x^3+3*x^2-4*x-1,4*x^4+3*x^3-21*x^2-7*x+15,x^3-4*x,-2*x^4-3*x^3+9*x^2+8*x-4,-2*x^4-3*x^3+7*x^2+5*x+3,-x^4-x^3+3*x^2+2*x+2,x^4-8*x^2+12,-x^4+2*x^3+6*x^2-9*x,2*x^4-x^3-8*x^2+6*x+3,x^4+2*x^3+x^2-5*x-10,3*x^4+x^3-13*x^2+2*x+8,1,-2*x^4-2*x^3+8*x^2+6*x+1,2*x^4-5*x^3-11*x^2+16*x+7,-x^4+x^3+6*x^2-5*x-3,x^4-3*x^3-5*x^2+7*x+1,-4*x^3-x^2+10*x+5,-5*x^4+x^3+23*x^2-8*x-11,-4*x^4+3*x^3+19*x^2-13*x-10,-4*x^3+x^2+12*x-2,-x^4+3*x^2-x-1,5*x^4-4*x^3-21*x^2+19*x+5,5*x^4-x^3-21*x^2+5*x+17,2*x^4-9*x^2+x+8,2*x^4-3*x^3-8*x^2+7*x+2,-6*x^4+4*x^3+29*x^2-15*x-17,3*x^3-8*x+1,8*x^4-5*x^3-38*x^2+21*x+19,x^4-6*x^2-x+2,-3*x^4+x^3+13*x^2-5*x-7,x^3-x+3,-4*x^4-x^3+14*x^2+4*x-4,-2*x^4-2*x^3+8*x^2+3*x,x^4+x^3-8*x^2-8*x+11,6*x^4-5*x^3-27*x^2+22*x+11,-x^4+4*x^2-3*x,-x^4-x^3+3*x^2+9*x+5,-3*x^4+12*x^2-9*x,-x^2+2,-6*x^4+7*x^3+32*x^2-28*x-26,x^4+2*x^3-5*x+1,3*x^4+2*x^3-12*x^2-7*x+7,-x^4+7*x^2-x-3,x^4-2*x^3-6*x^2+16*x+11,-x^3+6*x,-6*x^4-x^3+27*x^2-6*x-17,-8*x^4+5*x^3+37*x^2-17*x-21,3*x^4-2*x^3-14*x^2+8*x+6,-x^4+x^3+9*x^2-11*x-7,-5*x^4+x^3+18*x^2-4*x-2,-2*x^4+x^3+9*x^2-5*x-4,5*x^4+x^3-23*x^2-2*x+12,4*x^4+2*x^3-13*x^2-6*x-2,x^4+2*x^3-3*x^2-8*x-2,3*x^4-x^3-18*x^2+4*x+16,-8*x^4+5*x^3+36*x^2-19*x-20,x^4-x^3-4*x^2+2*x+1,4*x^4+2*x^3-16*x^2-3*x+9,x^3-x^2-4*x+7,5*x^4-21*x^2+x+10,3*x^4-10*x^2+6*x+1,6*x^4+x^3-22*x^2+x-4,-4*x^4+2*x^3+21*x^2-9*x-13,5*x^4-5*x^3-22*x^2+21*x+11,-2*x^4+3*x^3+14*x^2-18*x-9,-x^4+x^3+5*x^2-3*x-3,-6*x^4-x^3+24*x^2+2*x-2,4*x^4-x^3-21*x^2+6*x+22,-x^4-3*x^3+4*x^2+5*x-1,6*x^4-7*x^3-29*x^2+20*x+14,-x^4+3*x^3+4*x^2-7*x,2*x^4-2*x^3-7*x^2+8*x+1,3*x^4-x^3-7*x^2-x-4,3*x^4-3*x^3-9*x^2+16*x-8,x^4-6*x^2+4,x^3-6*x^2-5*x+12,-3*x^4-x^3+8*x^2+4*x+2,2*x^4-x^3-10*x^2+6*x+9,3*x^4+x^3-19*x^2-3*x+16,-12*x^4+3*x^3+54*x^2-23*x-27,-x^4-2*x^3+2*x^2+6*x+1,-5*x^4-5*x^3+24*x^2+12*x-20,-5*x^3+20*x-1,2*x^3+2*x^2-8*x-3,2*x^4+x^3-9*x^2+4*x+1,-5*x^4+4*x^3+26*x^2-12*x-18,5*x^4-2*x^3-22*x^2+11*x+10,-5*x^4+x^3+22*x^2-15*x-13,2*x^4+6*x^3-5*x^2-14*x-1,5*x^4+x^3-24*x^2-3*x+11,-3*x^4+4*x^3+20*x^2-14*x-11,x^4-2*x^3-10*x^2+10*x+8,x,-3*x^4+6*x^3+14*x^2-22*x-15,2*x^3-7*x-2,x^4-x^3-7*x^2+9,-5*x^4-x^3+16*x^2-x-2,-1,3*x^4-x^3-13*x^2+5*x+3,-11*x^4+11*x^3+48*x^2-45*x-21,-3*x^4+7*x^2-3*x-1,x^2-6,6*x^4-x^3-32*x^2+7*x+20,9*x^4+x^3-38*x^2+3*x+21,x^4-2*x^3-8*x^2+9*x+5,x^4-4*x^3-6*x^2+13*x+5,-5*x^4+3*x^3+29*x^2-12*x-22,-7*x^4+x^3+34*x^2-9*x-17,-4*x^4+x^3+12*x^2-2*x,6*x^4-2*x^3-26*x^2+11*x+1,-2*x^4+9*x^2-3*x-5,3*x^4-2*x^3-13*x^2+13*x+9,-4*x^4+4*x^3+19*x^2-15*x-5,-2*x^4-4*x^3+8*x^2+13*x-2,-3*x^4-2*x^3+13*x^2+7*x-7,-7*x^4+6*x^3+35*x^2-18*x-22,x^3+x^2-2,-3*x^4+3*x^3+9*x^2-13*x-1,x^4-2*x^3-7*x^2+10*x,x^4-x^3-4*x^2+4*x+2,4*x^4-x^3-15*x^2+7*x+6,9*x^4-7*x^3-41*x^2+26*x+26,5*x^4-20*x^2+x+8,-13*x^4+7*x^3+61*x^2-27*x-34,-5*x^4+2*x^3+21*x^2-13*x-8,x^4-3*x^3-5*x^2+10*x-2,4*x^4-3*x^3-21*x^2+10*x+17,-x^4+2*x^3+2*x^2-6*x+8,x^4-2*x^3-5*x^2+5*x+3,4*x^4+x^3-17*x^2-6*x+2,-x^4-4*x^3+3*x^2+15*x+2,-9*x^4+2*x^3+42*x^2-14*x-18,-x^4-6*x^3+4*x^2+12*x+4,4*x^4-7*x^3-16*x^2+23*x+3,-2*x^4+2*x^3+7*x^2-8*x-4,-x^4+x^3+4*x^2-3*x-1,x^4-3*x^3-8*x^2+7*x-1,-x^4+x^3+8*x^2-4*x-9,5*x^4-x^3-22*x^2+9*x+14,16*x^4-6*x^3-73*x^2+29*x+41,-x^3-3*x^2+4*x+1,-4*x^4-x^3+10*x^2+6,9*x^4-39*x^2+3*x+23,-4*x^4-3*x^3+21*x^2+7*x-15,-3*x^3-9*x^2+12*x+3,-4*x^4+3*x^3+21*x^2-6*x-18,-x^3+4*x,4*x^4-2*x^3-16*x^2+9*x+8,7*x^4+2*x^3-28*x^2-2*x+6,2*x^4+3*x^3-9*x^2-8*x+4,4*x^4+3*x^3-19*x^2-3*x+17,5*x^4-8*x^3-24*x^2+30*x+8,2*x^4+3*x^3-7*x^2-5*x-3,7*x^4+2*x^3-27*x^2+2*x+11,6*x^4-27*x^2+11*x+7,x^4+x^3-3*x^2-2*x-2,-2*x^4-x^3+16*x^2+7*x-1,13*x^4-14*x^3-64*x^2+46*x+42,-x^4+8*x^2-12,-13*x^4+11*x^3+64*x^2-44*x-41,-x^4-3*x^3-6*x^2+7*x+6,x^4-2*x^3-6*x^2+9*x,7*x^4-7*x^3-33*x^2+29*x+18,-3*x^4+6*x^3+22*x^2-21*x-17,-2*x^4+x^3+8*x^2-6*x-3,5*x^4-x^3-22*x^2+12*x+8,-13*x^4+6*x^3+57*x^2-21*x-33,-x^4-2*x^3-x^2+5*x+10,x^4-7*x^3-4*x^2+18*x+5,-13*x^4-3*x^3+55*x^2+x-30,-3*x^4-x^3+13*x^2-2*x-8,17*x^4-6*x^3-80*x^2+29*x+44,x^4+2*x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x^3-4*x^2+11*x+3,-3*x^4+10*x^3+19*x^2-25*x-20,5*x^4+5*x^3-24*x^2-12*x+20,-14*x^4+x^3+46*x^2-10*x-13,-11*x^4+6*x^3+46*x^2-31*x-15,5*x^3-20*x+1,22*x^4-8*x^3-93*x^2+28*x+35,11*x^4-x^3-44*x^2+11*x+13,-2*x^3-2*x^2+8*x+3,9*x^4-9*x^3-47*x^2+22*x+35,-15*x^4+10*x^3+78*x^2-34*x-46,-2*x^4-x^3+9*x^2-4*x-1,3*x^4-2*x^3-7*x^2+6*x-8,9*x^4-8*x^3-45*x^2+24*x+35,5*x^4-4*x^3-26*x^2+12*x+18,6*x^4+7*x^3-21*x^2-5*x+3,-15*x^4+10*x^3+67*x^2-48*x-26,-5*x^4+2*x^3+22*x^2-11*x-10,9*x^4-14*x^3-35*x^2+49*x+9,-x^4+3*x^3+12*x^2-12*x-5,5*x^4-x^3-22*x^2+15*x+13,8*x^4-10*x^3-39*x^2+41*x+27,12*x^4-3*x^3-55*x^2+14*x+46,-2*x^4-6*x^3+5*x^2+14*x+1,-4*x^4-3*x^3+12*x^2+7*x+11,3*x^4-x^3-18*x^2+9*x+3,-5*x^4-x^3+24*x^2+3*x-11,-3*x^4-10*x^3+x^2+22*x+13,3*x^4-12*x^3-21*x^2+31*x+30,3*x^4-4*x^3-20*x^2+14*x+11,-16*x^4+14*x^3+78*x^2-55*x-43,-6*x^4+5*x^3+29*x^2-24*x-17,-x^4+2*x^3+10*x^2-10*x-8,-8*x^4+x^3+38*x^2-5*x-25,6*x^3-x^2-19*x+14,-x,-x^4-x^3-x^2+7*x+26,-9*x^4-4*x^3+34*x^2+12*x+6,3*x^4-6*x^3-14*x^2+22*x+15,2*x^4+3*x^3-6*x^2-3*x+3,-4*x^4+10*x^3+20*x^2-32*x-24,-2*x^3+7*x+2,3*x^4-5*x^3-15*x^2+32*x+5,10*x^4-7*x^3-43*x^2+34*x+17,-x^4+x^3+7*x^2-9,-7*x^4+3*x^3+40*x^2-11*x-31,-10*x^4+49*x^2-14*x-17,5*x^4+x^3-16*x^2+x+2,4*x^4+12*x^3-23*x^2-37*x+25,12*x^4-4*x^3-60*x^2+26*x+35]];
E[501,3] = [x^8-3*x^7-8*x^6+28*x^5+9*x^4-64*x^3+17*x^2+23*x+1, 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E[501,4] = [x^5+4*x^4+x^3-8*x^2-2*x+3, 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E[501,5] = [x^8+3*x^7-10*x^6-34*x^5+17*x^4+100*x^3+43*x^2-21*x-7, 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E[502,1] = [x^6-x^5-16*x^4+9*x^3+74*x^2-8*x-88, 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E[502,2] = [x^2-5*x+3, [1,1,1,1,x,1,-1,1,-2,x,3,1,-2*x+5,-1,x,1,-3*x+6,-2,-3*x+8,x,-1,3,-3,1,5*x-8,-2*x+5,-5,-1,x-6,x,4*x-10,1,3,-3*x+6,-x,-2,x-4,-3*x+8,-2*x+5,x,-3*x+3,-1,3*x-1,3,-2*x,-3,x-3,1,-6,5*x-8,-3*x+6,-2*x+5,6*x-12,-5,3*x,-1,-3*x+8,x-6,0,x,-4*x+17,4*x-10,2,1,-5*x+6,3,2*x+5,-3*x+6,-3,-x,3*x-6,-2,4*x-16,x-4,5*x-8,-3*x+8,-3,-2*x+5,-2*x-7,x,1,-3*x+3,-3*x+18,-1,-9*x+9,3*x-1,x-6,3,6*x-21,-2*x,2*x-5,-3,4*x-10,x-3,-7*x+9,1,2*x-19,-6,-6,5*x-8,-7*x+21,-3*x+6,-3*x+11,-2*x+5,-x,6*x-12,4*x-3,-5,-2*x+5,3*x,x-4,-1,-8*x+15,-3*x+8,-3*x,x-6,4*x-10,0,3*x-6,x,-2,-4*x+17,-3*x+3,4*x-10,12*x-15,2,-7,1,3*x-1,-5*x+6,-6*x+12,3,3*x-8,2*x+5,-5*x,-3*x+6,-5*x+18,-3,x+8,-x,x-3,3*x-6,-6*x+15,-2,-x-3,4*x-16,-6,x-4,2*x,5*x-8,2*x-1,-3*x+8,6*x-12,-3,10*x-12,-2*x+5,3*x+5,-2*x-7,6*x-12,x,3,1,-3*x+8,-3*x+3,3*x,-3*x+18,-3*x+3,-1,0,-9*x+9,6*x-16,3*x-1,11*x-24,x-6,-5*x+8,3,0,6*x-21,-5*x+18,-2*x,5*x-25,2*x-5,-4*x+17,-3,x-3,4*x-10,-9*x+18,x-3,5,-7*x+9,-8*x+27,1,-4*x+5,2*x-19,-5*x+6,-6,3*x-9,-6,-5*x+14,5*x-8,2*x+5,-7*x+21,-x+6,-3*x+6,-12*x+9,-3*x+11,6,-2*x+5,-9*x+24,-x,7*x-10,6*x-12,3*x-6,4*x-3,14*x-9,-5,-4*x+10,-2*x+5,4*x-16,3*x,3*x+12,x-4,8*x-22,-1,-10*x+16,-8*x+15,2*x+9,-3*x+8,-4*x+2,-3*x,-3,x-6,-3*x+24,4*x-10,2*x-3,0,-2*x-7,3*x-6,12*x-27,x,8*x-28,-2,16,-4*x+17,-6*x,-3*x+3,-x+22,4*x-10,-3*x+18,12*x-15,-1,2,-9,-7,-9*x+9,1,7*x-21,3*x-1,-x+4,-5*x+6,-2*x+12,-6*x+12,-9*x+30,3,18*x-18,3*x-8,6*x-21,2*x+5,-4*x+9,-5*x,2*x-16,-3*x+6,2*x-5,-5*x+18,15*x-24,-3,2*x-13,x+8,-8*x+20,-x,-9*x+33,x-3,-4*x+29,3*x-6,-7*x+9,-6*x+15,3*x-3,-2,9*x-8,-x-3,2*x-19,4*x-16,-9*x+21,-6,0,x-4,-15,2*x,6*x-15,5*x-8,-3*x+1,2*x-1,-7*x+21,-3*x+8,-3*x+12,6*x-12,-12*x+29,-3,-3*x+11,10*x-12,2*x-9,-2*x+5,-3*x+14,3*x+5,2*x,-2*x-7,x-18,6*x-12,3*x-18,x,4*x-3,3,3*x+21,1,-9*x-10,-3*x+8,-2*x+5,-3*x+3,-x+3,3*x,-14*x+38,-3*x+18,-2*x+8,-3*x+3,15*x-6,-1,2*x-4,0,-8*x+15,-9*x+9,12*x-30,6*x-16,13,3*x-1,-3*x,11*x-24,18,x-6,4*x-7,-5*x+8,10*x-25,3,-7*x+27,0,9*x-9,6*x-21,3*x-6,-5*x+18,-3*x,-2*x,-3*x+18,5*x-25,-2,2*x-5,4*x-12,-4*x+17,-3*x-4,-3,6*x-6,x-3,-6*x+12,4*x-10,12*x-43,-9*x+18,12*x-15,x-3,7*x-24,5,x-1,-7*x+9,-7,-8*x+27,-15*x+42,1,-3*x,-4*x+5,-6*x+2,2*x-19,-4*x-3,-5*x+6,9*x-18,-6,-6*x+12,3*x-9,-17*x+6,-6,-25,-5*x+14,3*x-8,5*x-8,-6*x+33,2*x+5,-26,-7*x+21,x,-x+6,3*x-12,-3*x+6,-x-31,-12*x+9,-5*x+18,-3*x+11,0,6,3*x+9,-2*x+5,x+8,-9*x+24,x-9,-x,2*x-1,7*x-10,-2*x+6,6*x-12,-21*x-3,3*x-6,4*x-17,4*x-3,-6*x+15,14*x-9,-5*x+9,-5,11*x-10,-4*x+10,-x-3,-2*x+5,9*x-24,4*x-16,-4*x+23,3*x,12,3*x+12,16*x-30,x-4,9*x-18,8*x-22,2*x,-1,3*x-21,-10*x+16,-9*x+9,-8*x+15,2*x-1,2*x+9,5*x-6,-3*x+8,x+20,-4*x+2,15*x-30,-3*x,3*x-9,-3,-4*x-13,x-6,10*x-12,-3*x+24,5*x+15,4*x-10,-2*x-5,2*x-3,3*x+5,0,9*x-3,-2*x-7,-11*x-19,3*x-6,-12*x+24,12*x-27,7*x-27,x,3*x-14,8*x-28,3,-2,-9*x-6,16,-5*x-22,-4*x+17,-3*x+8,-6*x,6*x-3,-3*x+3,9*x-27,-x+22,-6*x,4*x-10,-3*x+6,-3*x+18,-16*x+47,12*x-15]];
E[502,3] = [x^2+3*x+1, [1,1,-1,1,x,-1,-2*x-5,1,-2,x,-3,-1,-1,-2*x-5,-x,1,5*x+8,-2,-5*x-10,x,2*x+5,-3,2*x-3,-1,-3*x-6,-1,5,-2*x-5,5*x+10,-x,2,1,3,5*x+8,x+2,-2,-3*x-4,-5*x-10,1,x,-7*x-11,2*x+5,9*x+15,-3,-2*x,2*x-3,x-3,-1,8*x+14,-3*x-6,-5*x-8,-1,-10*x-16,5,-3*x,-2*x-5,5*x+10,5*x+10,0,-x,-2*x-1,2,4*x+10,1,-x,3,-2*x-5,5*x+8,-2*x+3,x+2,x+6,-2,-8*x-8,-3*x-4,3*x+6,-5*x-10,6*x+15,1,-4*x-11,x,1,-7*x-11,-5*x-16,2*x+5,-7*x-5,9*x+15,-5*x-10,-3,10*x+15,-2*x,2*x+5,2*x-3,-2,x-3,5*x+5,-1,6*x+17,8*x+14,6,-3*x-6,7*x+15,-5*x-8,9*x+15,-1,-x-2,-10*x-16,3,5,12*x+23,-3*x,3*x+4,-2*x-5,-8*x-13,5*x+10,-9*x-2,5*x+10,2,0,-11*x-30,-x,-2,-2*x-1,7*x+11,2,-2*x+3,4*x+10,6*x-3,1,-9*x-15,-x,2*x,3,15*x+40,-2*x-5,5*x,5*x+8,-x-16,-2*x+3,-9*x-6,x+2,-x+3,x+6,3,-2,-5*x-5,-8*x-8,-8*x-14,-3*x-4,-10*x-20,3*x+6,-13,-5*x-10,-10*x-16,6*x+15,2*x,1,-15*x-17,-4*x-11,10*x+16,x,8*x+19,1,3*x-14,-7*x-11,3*x,-5*x-16,-11*x-21,2*x+5,-12,-7*x-5,10*x+20,9*x+15,-x-20,-5*x-10,9*x+24,-3,0,10*x+15,5*x,-2*x,7*x+25,2*x+5,2*x+1,2*x-3,5*x+3,-2,-15*x-24,x-3,-10*x-25,5*x+5,14*x+23,-1,-8*x-23,6*x+17,x,8*x+14,-11*x-11,6,13*x+22,-3*x-6,2*x+5,7*x+15,-15*x-40,-5*x-8,10*x+7,9*x+15,-4*x+6,-1,15*x+30,-x-2,-3*x-20,-10*x-16,-x-6,3,-12*x-9,5,-4*x-10,12*x+23,8*x+8,-3*x,-5*x-8,3*x+4,4*x-10,-2*x-5,6*x+12,-8*x-13,10*x+23,5*x+10,-4*x+14,-9*x-2,-6*x-15,5*x+10,x-22,2,-6*x-1,0,4*x+11,-11*x-30,-10*x-15,-x,12,-2,-16,-2*x-1,-10*x-8,7*x+11,5*x+10,2,5*x+16,-2*x+3,1,4*x+10,-6*x+9,6*x-3,7*x+5,1,3*x-15,-9*x-15,5*x+14,-x,-10*x-20,2*x,x-22,3,14*x+10,15*x+40,-10*x-15,-2*x-5,-2*x+7,5*x,-6*x-12,5*x+8,-2*x-5,-x-16,9*x+18,-2*x+3,8*x+25,-9*x-6,-4,x+2,-17*x-21,-x+3,4*x-5,x+6,-5*x-5,3,15*x+41,-2,5*x+22,-5*x-5,-6*x-17,-8*x-8,17*x+27,-8*x-14,0,-3*x-4,-15,-10*x-20,-2*x+3,3*x+6,-21*x-57,-13,-7*x-15,-5*x-10,5*x+2,-10*x-16,24*x+39,6*x+15,-9*x-15,2*x,-4*x+11,1,9*x+20,-15*x-17,-2*x-4,-4*x-11,5*x-2,10*x+16,-15*x-30,x,-3,8*x+19,-15*x-55,1,3*x+6,3*x-14,-12*x-23,-7*x-11,7*x+17,3*x,-18*x-30,-5*x-16,6*x+8,-11*x-21,x+2,2*x+5,6*x+12,-12,8*x+13,-7*x-5,-6,10*x+20,-6*x-19,9*x+15,9*x+2,-x-20,4*x+14,-5*x-10,6*x+19,9*x+24,-5,-3,x-27,0,3*x-1,10*x+15,11*x+30,5*x,11*x+24,-2*x,25*x+56,7*x+25,2,2*x+5,16*x+8,2*x+1,-13*x-4,2*x-3,14*x+22,5*x+3,22*x+60,-2,6*x+3,-15*x-24,2*x-3,x-3,-5*x-10,-10*x-25,-x+11,5*x+5,-6*x+3,14*x+23,-21*x-30,-1,-3*x-6,-8*x-23,-18*x-30,6*x+17,-14*x-21,x,-29*x-34,8*x+14,-2*x,-11*x-11,x+4,6,-2*x+5,13*x+22,-15*x-40,-3*x-6,-10*x-23,2*x+5,-2,7*x+15,x,-15*x-40,9*x+12,-5*x-8,-9*x-21,10*x+7,x+16,9*x+15,0,-4*x+6,-x+5,-1,9*x+6,15*x+30,-x+11,-x-2,-3,-3*x-20,-2*x+6,-10*x-16,-9*x-33,-x-6,1,3,-3,-12*x-9,-5*x-3,5,-5*x-16,-4*x-10,5*x+5,12*x+23,25*x+40,8*x+8,-6*x-9,-3*x,-16*x-28,-5*x-8,20*x+14,3*x+4,-15*x-10,4*x-10,10*x+20,-2*x-5,-17*x-23,6*x+12,21*x+33,-8*x-13,13,10*x+23,-x-2,5*x+10,-15*x-2,-4*x+14,25*x+40,-9*x-2,-11*x-7,-6*x-15,-10*x-1,5*x+10,-2*x,x-22,-x+19,2,8*x+21,-6*x-1,15*x+17,0,-27*x-45,4*x+11,15*x+45,-11*x-30,20*x+32,-10*x-15,11*x+29,-x,3*x+4,12,-8*x-19,-2,-x-6,-16,x+22,-2*x-1,-3*x+14,-10*x-8,-10*x+7,7*x+11,15*x+55,5*x+10,6*x,2,-11*x-28,5*x+16,25,-2*x+3]];
E[502,4] = [x^5+x^4-7*x^3-4*x^2+6*x-1, 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E[502,5] = [x^5-2*x^4-9*x^3+14*x^2+16*x-8, 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