\\ an_s2g0new_651-700_hiprec.gp
\\ This is a PARI readable nonnormalized basis for S_2(Gamma_0(N)) for N 
\\ in the range:  651 <= N <= 700.
\\ The number of a_n computed is always at least 500.
\\ William Stein (was@math.berkeley.edu)


E[651,1] = [x, [1,-1,1,-1,-2,-1,1,3,1,2,0,-1,-6,-1,-2,-1,6,-1,-4,2,1,0,-4,3,-1,6,1,-1,-2,2,-1,-5,0,-6,-2,-1,-10,4,-6,-6,-6,-1,-8,0,-2,4,8,-1,1,1,6,6,-2,-1,0,3,-4,2,-4,2,-6,1,1,7,12,0,-4,-6,-4,2,-8,3,14,10,-1,4,0,6,4,2,1,6,-4,-1,-12,8,-2,0,14,2,-6,4,-1,-8,8,-5,-6,-1,0,1,-2,-6,-16,-18,-2,2,-4,-1,14,0,-10,-1,2,4,8,2,-6,4,6,-6,-11,6,-6,1,12,-1,-20,3,-8,-12,4,0,-4,4,-2,18,18,4,12,2,8,8,0,-1,4,-14,1,10,6,1,4,-12,6,0,2,6,14,-4,-2,10,-4,-1,12,6,0,4,24,3,23,12,-4,8,-18,2,-1,0,-4,-14,0,2,-22,6,-6,-12,20,1,0,-8,1,-8,-8,7,-14,6,12,-1,-2,0,16,-3,-4,2,-2,-6,12,16,-4,6,0,2,12,2,-8,4,16,3,-1,-14,14,0,-36,10,16,-5,-1,-2,12,4,2,-8,0,-6,-6,6,-16,4,4,-6,-28,2,-10,11,1,6,-2,6,24,-3,-4,-12,-4,-1,0,20,-12,-17,10,8,-10,-12,-2,-4,4,0,4,4,14,4,-30,2,-8,-6,-6,-18,0,4,-2,-12,-1,-6,-22,-8,-4,8,8,0,-6,-5,19,-4,-6,-14,-26,-1,8,-30,0,-6,24,1,-8,-4,-2,4,12,-6,4,0,-16,-2,32,-18,6,-14,-2,-4,-18,2,0,-14,-4,4,-24,-1,6,-12,14,-18,8,0,-8,4,-10,-24,8,-1,26,-23,2,12,0,4,1,-24,8,18,0,2,6,1,-6,0,6,4,16,-14,6,0,0,-6,-3,22,-11,6,-28,6,-8,4,-6,-20,-2,1,22,0,12,24,12,-1,-4,-8,-20,8,24,3,0,14,-8,6,-26,-12,-24,3,4,2,-8,0,-10,-16,-4,1,-38,4,6,2,-2,2,0,18,-26,-12,18,16,-4,4,8,30,12,0,12,2,22,-12,8,-6,-6,8,-6,4,0,-16,0,-1,14,1,4,-14,16,-14,-16,0,1,36,-4,10,-28,-16,6,7,-30,1,0,-2,4,-12,12,-12,-38,-2,6,-8,34,0,-4,2,2,6,36,6,-4,16,14,-12,0,-4,4,-6,-2,28,-16,10,60,10,-4,11,12,-1,-20,-18,12,2,40,6,-12,-24,0,1,-8,4,-32,-12]];
E[651,2] = [x^2-5, [1,x,-1,3,2,-x,-1,x,1,2*x,-x+3,-3,x+3,-x,-2,-1,x+3,x,0,6,1,3*x-5,-x-1,-x,-1,3*x+5,-1,-3,-2,-2*x,1,-3*x,x-3,3*x+5,-2,3,-2,0,-x-3,2*x,-2*x+4,x,3*x-5,-3*x+9,2,-x-5,-4,1,1,-x,-x-3,3*x+9,-2*x+4,-x,-2*x+6,-x,0,-2*x,-4*x,-6,-3*x+7,x,-1,-13,2*x+6,-3*x+5,-6*x-2,3*x+9,x+1,-2*x,-2*x+2,x,-5*x+1,-2*x,1,0,x-3,-3*x-5,x+5,-2,1,4*x-10,2*x-2,3,2*x+6,-5*x+15,2,3*x-5,x+3,2*x,-x-3,-3*x-3,-1,-4*x,0,3*x,2*x+12,x,-x+3,-3,2,-3*x-5,-12,3*x+5,2,4*x-10,6*x-2,-3,-2*x,6*x-10,2,1,-2*x+4,0,-2*x-2,-6,x+3,-20,-x-3,-2*x,-6*x+3,7*x-15,2*x-4,3,-12,-x,7*x+3,-7*x,-3*x+5,6*x+10,4*x,3*x-9,0,-2*x-30,-2,3*x+5,-2*x,x+5,-12,-6,4,2*x-10,4,-1,-4,x-25,-1,-6,-2*x-8,x,-5*x-1,0,x+3,-3*x+5,2,-3*x-9,-4*x+10,5*x+5,2*x-4,-6*x,x+1,x,-2*x-14,-6*x+12,2*x-6,-2*x+10,8,x,6*x+1,6*x+10,0,9*x-15,-2*x+16,2*x,1,x-3,4*x,3*x+5,x+5,6,-5*x-3,-3*x-5,3*x-7,-x-5,-4,-x,4,-12,1,0,20,13,-2*x-20,12*x+10,-2*x-6,3,6*x+12,3*x-5,2*x+10,-x,6*x+2,2*x,2,-3*x-9,-4*x+8,-12*x,-x-1,-x-3,0,2*x,6*x+2,-6*x+12,2*x-2,-2*x+30,6*x-10,-x,-1,-10,5*x-1,-6*x+18,6*x+14,2*x,-8*x-8,3*x,-1,4*x-10,8,0,x+11,-2*x-10,-x+3,-2*x,8*x-6,3*x+5,-8,-12*x,-x-5,-3*x-5,3*x+11,2,7*x+5,3*x-30,-1,-9*x+21,2,-4*x+10,0,x,-2*x+2,-12*x,8*x+4,-3,-2*x+2,3*x+35,-2*x-6,-9,4*x+18,5*x-15,2,6*x+18,-2,20,5*x+5,-3*x+5,-4*x+8,0,-x-3,-18*x-6,9*x-1,-2*x,2*x-6,-x-3,x+3,-10,x-3,3*x+3,-2*x-20,-12*x,1,-2*x,-8*x+10,4*x,12*x,-6*x+6,0,4*x,2*x-4,-3*x,6*x-3,-4*x,-2*x-12,-15*x+3,-2*x-8,-x,-8*x,-2*x,x-3,-8*x-10,-4*x-8,3,-3*x+5,-x-25,-2,0,-6*x+14,3*x+5,-8*x-12,3*x-9,12,2*x,-8*x-12,-3*x-5,x+23,10*x-20,-2,3*x+15,8*x-2,-4*x+10,2*x-6,-26,-6*x+2,x+5,0,3,-x-3,-14*x-10,2*x,4*x-10,4,-6*x+10,-5*x+11,6*x-6,-2,8*x,-12*x-4,-1,-2*x+8,x+30,2*x-4,6*x+18,-x+3,0,-1,-5*x+15,2*x+2,16*x-10,-x+3,6,10*x+8,x,-x-3,-9*x+15,-7*x+11,20,-4*x+4,3*x+9,x+3,5*x+5,4*x-8,2*x,-19,-3*x-25,6*x-3,-3*x-9,-10*x+2,-7*x+15,2*x-30,x+1,-2*x+4,-4*x,2*x-4,-3,-6*x-4,4*x,12,-4*x,-2*x-6,x,4*x+8,0,-7*x-3,20*x,-10*x+6,7*x,2*x-6,-20*x-10,3*x-5,6*x+36,-18,-6*x-10,-4*x-8,x,-4*x,12*x+30,2*x+10,-3*x+9,-2*x+4,10*x+10,0,1,2*x-20,2*x+30,x+3,6,2,2*x,2*x-6,-3*x-5,13*x-5,8*x-20,2*x,-36,4*x,-x-5,4*x-4,-9*x-15,12,0,4*x+20,6,10*x-12,2*x+30,-4,4*x-10,-x-3,-2*x+10,3*x-7,18*x-6,-4,-10*x+30,10*x-2,1,-15*x-1,-x,4,-6*x,0,-x+25,8*x+4,6*x-10,1,14*x+30,-6*x-14,6,2*x+6,-8*x-40,2*x+8,13,4*x+6,-x,-10*x+22,-6*x+12,5*x+1,8*x,-2*x-6,0,8*x-22,11*x+5,-x-3,-6*x-6,-7*x+23,3*x-5,-9*x-13,2,-2,-6*x+40,-4*x,3*x+9,6*x+2,-8*x,4*x-10,-20,14*x-30,-5*x-5,0,-3*x-9,-2*x+4,11*x+15,-8*x-16,6*x,-2*x-6,5*x+35,-x-1,-18*x+9,4*x+24,-x,-7*x+13,7*x-15,2*x+14,2*x,-3*x+9,6*x-12,-2*x-6,0,-2*x+6,-1,2*x-2,2*x-10,3*x+3,-36]];
E[651,3] = [x^3+x^2-3*x-1, 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E[651,4] = [x^3-x^2-3*x+1, 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,-x,-7*x^2+x+20,-8*x^2+9*x+5,2*x^2-8*x-2,-x^2-2*x+1,-10*x^2+17*x+7,x^2-2*x-3,-2*x^2+6,-6*x^2+18*x+2,2*x+4,2*x^2-2*x-3,x^2+2*x+3,6*x-4,9*x^2-13*x,-10*x^2-4*x+18]];
E[651,5] = [x^6-12*x^4+2*x^3+37*x^2-8*x-16, 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E[651,6] = [x^6-x^5-12*x^4+10*x^3+39*x^2-21*x-32, 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E[651,7] = [x^2-3*x-2, [1,x-1,-1,x+1,x,-x+1,1,x+3,1,2*x+2,-2*x+2,-x-1,x-6,x-1,-x,3*x-3,-4,x-1,-2*x,4*x+2,-1,-2*x-6,x+4,-x-3,3*x-3,-4*x+8,-1,x+1,-3*x+8,-2*x-2,-1,x+3,2*x-2,-4*x+4,x,x+1,6,-4*x-4,-x+6,6*x+2,-3*x+8,-x+1,-2*x+10,-6*x-2,x,6*x-2,0,-3*x+3,1,3*x+9,4,-2*x-4,3*x,-x+1,-4*x-4,x+3,2*x,2*x-14,-4,-4*x-2,3*x-2,-x+1,1,-x+5,-3*x+2,2*x+6,3*x-2,-4*x-4,-x-4,2*x+2,-6*x+8,x+3,-3*x+2,6*x-6,-3*x+3,-8*x-4,-2*x+2,4*x-8,-2*x-6,6*x+6,1,2*x-14,-2*x+12,-x-1,-4*x,6*x-14,3*x-8,-10*x+2,12,2*x+2,x-6,8*x+6,1,0,-6*x-4,-x-3,6,x-1,-2*x+2,9*x+3,6,4*x-4,-6*x+12,-16,-x,6*x+6,6*x-12,-x-1,-x+16,-12*x-4,-6,3*x-3,-10,4*x+4,7*x+2,-4*x+2,x-6,-4*x+4,-4,-6*x-2,4*x+1,4*x+8,3*x-8,-x-1,x+6,x-1,-4*x-6,x-13,2*x-10,-4*x-8,-3*x+6,6*x+2,-2*x,4*x+8,-x,-4*x-12,x+8,-6*x+2,5*x-10,4*x+2,0,-4*x-20,8*x-16,3*x-3,-x-6,-4*x-8,-1,6*x+6,-2*x+6,-3*x-9,6*x-10,-12*x-4,-4,-2*x-6,-x,2*x+4,-4*x-2,-10*x+2,-3*x,6*x+2,x+4,x-1,-3*x-6,-4*x+2,4*x+4,8*x-16,4*x-8,-x-3,-9*x+25,-8*x-8,-2*x,2*x+6,x+20,-2*x+14,3*x-3,-6*x-18,4,12*x-12,5*x-12,4*x+2,-x+10,-4*x+8,-3*x+2,10*x+14,6*x,x-1,8*x-8,0,-1,-16*x-8,-2*x+20,x-5,-7*x+8,6*x-6,3*x-2,x+1,7*x-16,-2*x-6,x-26,15*x-3,-3*x+2,6*x-6,-3*x+8,4*x+4,-x-6,-24,x+4,-12*x+24,8*x+8,-2*x-2,x+18,12*x+6,6*x-8,24,4*x-4,-x-3,-1,14*x-18,3*x-2,-20*x-12,-4*x+24,-6*x+6,9*x-14,x+3,3*x-3,-10*x+10,5*x+6,8*x+4,-2*x+12,16*x+12,2*x-2,-10*x+18,6*x-26,-4*x+8,0,-4*x-4,2*x+6,-4*x+4,2*x-2,-6*x-6,-7*x+2,9*x+7,-1,10*x+4,x,-2*x+14,6*x-4,-x-3,2*x-12,8*x-4,-4*x+4,x+1,-12*x+4,-14*x-2,4*x,-9*x+5,7*x-16,-6*x+14,6,-10*x-4,-3*x+8,-12,-10*x+18,10*x-2,9*x+6,-4*x-4,-12,10*x+4,4*x+8,-2*x-2,-9*x+2,-12*x+12,-x+6,10*x-6,-6*x-18,-8*x-6,-2*x-2,20,-1,6*x+2,4*x-14,0,-14*x+24,-16*x-4,6*x+4,32,-3*x+8,x+3,-1,-8*x+4,-6,-10*x-4,-3*x+4,-x+1,-4*x,6*x+18,2*x-2,2*x-10,x-22,-9*x-3,-2*x+10,2*x+22,-6,-12*x-12,7*x+6,-4*x+4,12*x-20,-6*x-2,6*x-12,-2*x-2,9*x+2,16,10*x-24,-10*x-6,x,-14*x-10,-10*x+26,-6*x-6,-4*x+28,2*x-2,-6*x+12,6*x-2,8*x,x+1,-12*x+24,-12*x,x-16,-10*x+18,0,12*x+4,-4*x+30,4*x+8,6,16,7*x+6,-3*x+3,6*x-22,7*x-43,10,-16*x-8,2*x-2,-4*x-4,1,-2*x+26,-7*x-2,22*x-18,x-8,4*x-2,-12*x+26,3*x+9,-x+6,-10*x+2,-4*x+12,4*x-4,-10*x-12,12*x+12,4,-2*x+22,-6*x-4,6*x+2,12*x-11,8*x-12,-4*x-1,-2*x-4,-7*x-6,-4*x-8,-12,18*x-6,-3*x+8,12*x+12,3*x,x+1,-5*x-8,8*x+24,-x-6,0,17*x-54,-x+1,4*x+12,-28*x-16,4*x+6,16*x-24,-2*x-8,-x+13,-4*x-4,-6*x-22,-2*x+10,6*x+6,3*x-28,4*x+8,-4*x-16,x+3,3*x-6,-2*x+30,-12*x-4,-6*x-2,2*x-18,-24*x+28,2*x,9*x+27,3*x+4,-4*x-8,-x+6,6*x+6,x,2*x-14,-12*x+12,4*x+12,2*x-16,-8*x+4,-x-8,-12*x,-4,6*x-2,6*x-4,-16,-5*x+10,24*x+8,9*x-10,-4*x-2,-13*x+24,20*x-16,0,18*x+6,-12*x+12,4*x+20,3*x-2,12*x,-8*x+16,4*x+12,6*x+16,-3*x+3,-3*x+6,-x+1,x+6,12*x+14,-14*x-4,4*x+8,8*x-24,-28*x-20,1,16*x-32,6*x-20,-6*x-6,12*x,4*x+32,2*x-6,-x+5,5*x-4,3*x+9,-4*x+28,-10*x-10,-6*x+10,16*x+4,-3*x+2,12*x+4,-2*x+22,8*x-16,4,30*x+16,-6*x-4,2*x+6,2*x-10,6*x-42,x,-14*x+38,-5*x+18,-2*x-4,3*x-2,0,4*x+2,-4*x-12,-12*x+28,10*x-2,-12*x-12,-4*x-4,3*x,2*x+6,x-14,-6*x-2,6*x-36,-12*x-16,-x-4,17*x+9,6*x,-x+1,-8*x+6,16*x,3*x+6,2*x+2,-x-8,4*x-2,12*x-32,8*x+16,-4*x-4,-3*x+3,-6*x+8,-8*x+16,6*x-14,10*x+8]];
E[651,8] = [x^2-x-4, [1,-x+1,-1,-x+3,x,x-1,1,-x+5,1,-4,-2*x+2,x-3,x+2,-x+1,-x,-3*x+3,2*x+2,-x+1,-2*x,2*x-4,-1,-2*x+10,-x-2,x-5,x-1,-2*x-2,-1,-x+3,x+4,4,-1,-x+5,2*x-2,-2*x-6,x,-x+3,-10,8,-x-2,4*x-4,x+4,x-1,4*x-4,-6*x+14,x,2*x+2,2*x+6,3*x-3,1,x-5,-2*x-2,2,3*x,x-1,-8,-x+5,2*x,-4*x,2*x+2,-2*x+4,3*x+6,x-1,1,x+3,3*x+4,2*x-10,x,2*x-2,x+2,-4,-2*x+4,-x+5,-3*x-6,10*x-10,-x+1,-4*x+8,-2*x+2,2*x+2,4*x-4,-12,1,-4*x,2*x-8,x-3,4*x+8,4*x-20,-x-4,-10*x+18,2*x-14,-4,x+2,-2,1,-6*x-2,-2*x-8,x-5,-10,-x+1,-2*x+2,3*x-7,-2*x+16,2*x+6,-2*x+8,2*x+6,-x,-12,-2*x+12,x-3,-7*x+6,8*x-8,10,-3*x+3,6,-8,-3*x-4,-2*x+8,x+2,-2*x-6,2*x+2,-4*x+4,-4*x+9,-6*x-6,-x-4,x-3,-5*x+4,-x+1,6*x-8,-x-11,-4*x+4,-4*x-8,9*x-6,6*x-14,-2*x,-4,-x,6*x+2,-7*x,-2*x-2,3*x+8,2*x-4,-2*x-6,-4*x+12,-4*x-4,-3*x+3,5*x+4,6*x+6,-1,10*x-30,2*x+2,-x+5,4,-8*x+8,2*x+2,-2*x+10,-x,-2,-4*x-2,4*x-20,-3*x,4*x-4,-x-2,-x+1,7*x,-2*x+8,8,8*x-16,-8*x+4,x-5,5*x-5,-8*x-8,-2*x,12*x-28,5*x-16,4*x,x-1,-6*x+30,-2*x-2,14*x-22,-5*x+6,2*x-4,-5*x+6,-2*x-2,-3*x-6,-2*x-6,-10*x,-x+1,-4*x-12,-2*x+10,-1,8*x,-2*x-12,-x-3,3*x+14,10*x-10,-3*x-4,-x+3,-9*x,-2*x+10,3*x+4,5*x-9,-x,-16*x+24,x+4,-2*x+2,5*x+4,-8*x+16,-x-2,-6*x-6,16,4,3*x-16,6*x-12,2*x-4,-12*x+20,16,x-5,-1,-6*x+34,3*x+6,8*x-24,8*x+12,-10*x+10,7*x-12,-x+5,x-1,-6*x+6,x+10,4*x-8,-8*x-6,4*x+8,2*x-2,16,2*x+10,-2*x-2,8*x+8,2*x-2,-4*x+4,-2*x-6,-6*x+6,12,-3*x+22,-9*x+25,-1,6,x,4*x,-6*x-8,x-5,-2*x+8,-4*x+24,0,-x+3,4*x+4,8*x-32,-4*x-8,9*x-13,-x+8,-4*x+20,-10,2*x,x+4,6*x-42,-2*x+10,10*x-18,3*x+12,8,-2*x+14,2*x-4,-6*x-6,4,-3*x-20,-6*x-18,-x-2,28,2*x-10,2,-6*x+18,-8*x-4,-1,4*x-4,12*x-6,6*x+2,6*x-12,-8*x+20,2*x+8,4*x+12,x+4,-x+5,12*x+3,-4*x-16,10,-6,-7*x+8,x-1,4*x+8,10*x-50,2*x-2,-2*x-6,-5*x-8,-3*x+7,4*x-4,-4*x+4,2*x-16,24,9*x+12,-2*x-6,-8*x,-6*x+14,2*x-8,4,x+10,-2*x-6,-22,2*x+14,x,12*x-28,-2*x+2,12,-8*x,4*x+4,2*x-12,2*x+2,-8*x-16,-x+3,2*x+2,-28,7*x-6,16,2*x+6,-8*x+8,6*x-4,12*x-32,-10,-4*x+36,x+4,3*x-3,-6*x-10,5*x-25,-6,8,2*x-2,8,1,20*x-36,3*x+4,16*x-36,-5*x+22,2*x-8,14,x-5,-x-2,-10*x+18,-2*x-30,2*x+6,2*x-8,18*x-50,-2*x-2,-6*x+26,2*x-28,4*x-4,4*x-3,-6*x+26,4*x-9,2,-9*x-12,6*x+6,-4*x-24,6*x+6,x+4,40,3*x,-x+3,-7*x+10,12*x+4,5*x-4,2*x+22,7*x+12,x-1,4*x+12,4*x-16,-6*x+8,12*x-4,2*x+20,x+11,-8,-14*x+2,4*x-4,10*x-30,7*x+16,4*x+8,-8*x-12,-x+5,-9*x+6,36,16,-6*x+14,-6*x+22,-4*x-8,2*x,3*x-15,-5*x+28,4,-x-2,-20*x+56,x,-4*x,20*x-20,-6*x-2,-12*x+6,-4*x-16,7*x,-12*x+32,2*x+2,2*x+2,-6*x+8,2*x+6,-3*x-8,-16*x+16,-11*x+10,-2*x+4,-3*x-2,16*x-28,2*x+6,12*x-12,2*x+6,4*x-12,3*x+6,-16*x+44,4*x+4,-16*x+16,-2*x-8,3*x-3,5*x-26,x-1,-5*x-4,-20*x+46,6*x+8,-6*x-6,-12*x+12,8*x-40,1,-12*x-20,2*x+16,-10*x+30,-12*x+8,12*x-40,-2*x-2,x+3,x-16,x-5,-8*x,-6*x+18,-4,-10*x+6,3*x+4,8*x-8,6*x-18,6*x+26,-2*x-2,-2*x,-4*x+18,2*x-10,12*x-12,-12*x,x,-10*x+2,-5*x-14,2,x,-8*x-24,4*x+2,6*x+2,8*x-40,-4*x+20,-8,2*x-2,3*x,-6*x+30,x-14,-4*x+4,-10*x-20,-22*x+34,x+2,-17*x+43,-10*x,x-1,-6*x-4,6*x+18,-7*x,-4,-3*x-30,2*x-8,12*x+16,8*x+16,-8,3*x-3,-2*x+4,-8*x+16,-8*x+24,-14*x+32]];
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E[651,10] = [x, [1,1,-1,-1,4,-1,1,-3,1,4,2,1,-2,1,-4,-1,2,1,8,-4,-1,2,-6,3,11,-2,-1,-1,0,-4,-1,5,-2,2,4,-1,6,8,2,-12,8,-1,-4,-2,4,-6,-2,1,1,11,-2,2,4,-1,8,-3,-8,0,-6,4,-6,-1,1,7,-8,-2,-4,-2,6,4,4,-3,-10,6,-11,-8,2,2,12,-4,1,8,-16,1,8,-4,0,-6,2,4,-2,6,1,-2,32,-5,-10,1,2,-11,0,-2,-16,6,-4,4,-20,1,-14,8,-6,-1,6,-8,-24,0,-2,-6,2,12,-7,-6,-8,1,24,1,-16,-3,4,-8,-10,2,8,-4,-4,-6,12,6,-20,-4,2,4,-4,-1,0,-10,-1,-6,10,-11,4,-24,2,2,-4,-2,-2,12,-4,20,-6,1,20,-8,-8,-16,20,3,-9,8,8,4,20,0,11,-2,6,2,18,-4,10,-2,6,18,24,1,4,2,-1,32,-12,-7,18,-10,8,-1,-12,2,-8,-33,4,0,0,2,32,-16,-6,2,16,-4,20,-4,-4,-20,-16,3,-1,-14,10,-8,-4,-6,-8,5,11,6,-10,8,-6,-24,-2,0,18,-2,-8,6,-12,2,6,4,-30,-7,-1,6,4,-8,-16,3,16,24,-16,-1,-12,-16,-8,-17,20,4,6,8,0,-10,-6,6,16,8,-2,4,10,-4,8,-2,2,12,22,-6,26,-20,-1,-12,-6,2,-4,-4,-32,-4,8,5,-13,0,10,10,-4,-1,-24,-18,-2,10,12,11,-4,4,0,-8,-24,2,32,-2,16,-4,-10,-6,-22,-2,4,-12,-6,-4,0,28,20,-6,16,-1,-22,20,14,-24,-2,-8,-12,16,6,20,-16,1,-18,-9,-6,-8,-2,8,1,12,24,20,-30,0,-2,11,2,10,18,6,16,-2,-2,18,20,-12,45,10,7,2,-40,6,8,6,8,24,4,-1,-10,4,-24,6,0,-1,-4,-32,16,-12,-20,3,8,18,-4,10,20,8,-12,-3,10,-12,48,-2,-18,-8,-8,-11,-32,4,2,0,4,0,12,6,22,32,-12,16,-6,-6,-64,-10,20,16,-26,4,-6,20,-2,-12,22,-4,-6,20,4,-16,24,1,2,-1,0,14,-48,10,28,-24,1,-4,-16,6,8,-8,-10,7,-20,11,16,-6,-4,-10,-8,24,-10,-6,-2,24,10,-2,4,0,4,18,22,2,-4,-8,2,18,-8,-12,88,-2,4,6,30,-20,-12,-30,6,7,-40,-1,-12,18,-20,4,38,8,0,-16,8,1,4,16,-8,-24]];
E[651,11] = [x, [1,1,-1,-1,-2,-1,1,-3,1,-2,2,1,4,1,2,-1,8,1,-4,2,-1,2,6,3,-1,4,-1,-1,6,2,-1,5,-2,8,-2,-1,6,-4,-4,6,-10,-1,2,-2,-2,6,-8,1,1,-1,-8,-4,10,-1,-4,-3,4,6,12,-2,-12,-1,1,7,-8,-2,8,-8,-6,-2,4,-3,-4,6,1,4,2,-4,-6,2,1,-10,8,1,-16,2,-6,-6,8,-2,4,-6,1,-8,8,-5,14,1,2,1,-18,-8,-16,-12,2,10,-8,1,10,-4,-6,-1,6,4,-12,-6,4,12,8,-6,-7,-12,10,1,12,1,-10,-3,-2,-8,20,2,-4,8,2,-24,6,-6,4,2,8,4,8,-1,-12,-4,-1,-6,10,1,-2,12,8,2,2,4,22,-6,-10,-10,6,1,-16,10,4,8,-16,3,3,-16,-4,-2,-22,-6,-1,-2,-12,8,6,2,16,4,12,-18,-12,1,16,8,-1,8,0,-7,-18,14,8,-1,18,2,4,3,-8,-18,6,8,20,-16,6,-4,-8,2,-16,-10,-4,-8,-4,3,-1,10,4,4,32,-6,-8,5,-1,6,-4,-4,-12,-12,-2,-18,-6,4,16,-12,6,8,6,-2,-12,-7,-1,12,-2,10,-16,3,-8,12,-4,-1,12,-10,16,-17,2,-2,6,8,6,20,-6,6,-20,-4,-8,-8,28,2,20,-8,-4,6,-2,6,26,4,-1,6,-6,8,-28,-4,-8,8,-10,5,47,-12,-14,4,2,-1,-24,-18,-2,10,24,-1,2,-2,18,4,24,8,-28,-2,16,2,-16,12,8,22,-2,6,-18,-10,12,-14,8,6,-32,-1,-4,-16,-10,30,-8,4,-6,-8,6,-16,-16,1,6,3,-6,16,-2,-4,1,-6,12,-22,-6,6,10,-1,-4,10,0,-12,-8,-8,-8,6,-16,6,-3,16,7,-4,8,12,-4,-6,-10,-12,10,-1,26,16,-12,24,24,-1,-28,-8,10,0,4,3,-4,-18,2,-14,-10,8,48,-3,-20,18,12,-2,18,4,4,1,-2,-8,-4,18,-2,6,12,24,-32,20,-6,16,12,6,-16,20,-4,-8,4,-2,-6,-16,-8,-30,-8,-4,-12,8,-8,-4,-12,1,8,-1,12,-10,-24,4,16,12,1,32,32,6,-16,-8,-10,7,10,-1,-20,-6,2,-4,-8,-12,26,-12,-8,12,4,-2,22,-6,-2,-6,4,-4,8,16,-22,-36,4,6,4,-8,10,6,-24,10,24,-12,-6,7,-28,-1,18,36,16,-2,-10,-10,48,-16,-4,1,4,-8,-38,-12]];
E[651,12] = [x, [1,0,1,-2,-3,0,1,0,1,0,0,-2,5,0,-3,4,0,0,2,6,1,0,3,0,4,0,1,-2,3,0,1,0,0,0,-3,-2,2,0,5,0,9,0,8,0,-3,0,0,4,1,0,0,-10,-3,0,0,0,2,0,-12,6,-1,0,1,-8,-15,0,5,0,3,0,-6,0,-7,0,4,-4,0,0,8,-12,1,0,6,-2,0,0,3,0,-12,0,5,-6,1,0,-6,0,-10,0,0,-8,6,0,14,0,-3,0,-6,-2,11,0,2,4,18,0,-9,-6,5,0,0,0,-11,0,9,-2,3,0,2,0,8,0,-9,0,2,0,-3,0,-9,0,5,6,0,0,0,4,-9,0,1,-4,0,0,8,0,0,0,-3,-10,14,0,-3,0,3,0,11,-18,0,0,12,0,12,0,2,-16,-15,0,4,0,-12,0,-9,6,-25,0,-1,0,-6,0,0,0,1,0,-6,-8,5,0,-15,-2,-15,0,-7,0,5,0,3,0,-27,0,3,20,0,0,23,6,-6,0,-24,0,1,0,-7,0,0,0,-19,0,4,0,-9,-4,14,0,0,0,24,0,0,24,8,0,0,-12,-19,0,1,2,-3,0,10,0,6,0,-12,-2,0,0,0,16,-21,0,2,30,3,0,24,0,9,0,-12,-10,24,0,-25,0,5,0,0,-6,8,0,1,0,30,0,-22,12,-6,0,9,0,-17,0,-10,14,21,0,36,0,0,0,15,-8,8,0,6,8,3,0,-16,0,14,0,-9,0,-10,0,-3,-16,24,0,0,24,-6,0,0,-2,20,0,11,0,0,0,-10,-12,2,0,-15,4,-4,0,18,0,0,0,1,0,-9,0,15,-6,26,0,5,0,12,0,18,24,0,0,18,0,-15,0,-11,-10,21,0,-28,12,9,0,-3,-2,23,0,3,0,15,0,-16,12,2,0,-30,0,0,0,8,20,-15,0,0,0,-9,0,-24,0,-16,0,2,16,-15,0,5,-12,-3,0,0,0,14,0,-9,-28,-12,0,-18,0,5,0,-21,6,-1,0,0,0,0,0,-1,12,0,0,18,4,29,0,-9,-22,6,0,-28,0,1,0,30,-4,36,0,0,-8,-9,0,0,-36,8,0,-15,0,-28,0,0,18,30,0,-40,12,-3,0,-39,-10,5,0,14,0,0,0,8,0,-3,0,-33,0,10,0,3,22,30,0,-34,0,11,0,9,-18,0,0,0,4,-6,0,-4,-6]];
E[651,13] = [x^2-2*x-5, [1,0,-1,-2,x,0,-1,0,1,0,-2,2,2*x-1,0,-x,4,-2*x+2,0,-2*x+4,-2*x,1,0,x+2,0,2*x,0,-1,2,x+6,0,1,0,2,0,-x,-2,2*x+4,0,-2*x+1,0,x+2,0,0,4,x,0,6,-4,1,0,2*x-2,-4*x+2,-5*x+4,0,-2*x,0,2*x-4,0,10,2*x,-4*x+5,0,-1,-8,3*x+10,0,2*x-11,4*x-4,-x-2,0,4*x-6,0,4*x+3,0,-2*x,4*x-8,2,0,-2*x-6,4*x,1,0,2*x+4,-2,-2*x-10,0,-x-6,0,-2*x+2,0,-2*x+1,-2*x-4,-1,0,-10,0,2*x-12,0,-2,-4*x,-2*x+6,0,-2,0,x,0,-4*x+6,2,-6*x+7,0,-2*x-4,-4,-2*x+8,0,4*x+5,-2*x-12,2*x-1,0,2*x-2,0,-7,0,-x-2,-2,-x+10,0,-2*x-8,0,0,0,-x-8,-4,2*x-4,0,-x,0,5*x-10,0,2*x-1,2*x,-6,0,-4*x+2,4,8*x+5,0,-1,-4*x-8,12,0,4*x-4,0,-2*x+2,0,x,4*x-2,-4*x-2,0,5*x-4,0,-x-2,0,-4*x-1,-2*x-4,2*x,0,-6*x+10,0,4*x+8,0,-2*x+4,0,-7*x+10,0,-2*x,-8,-10,0,9*x-8,-2*x,-4*x+5,0,4*x-5,0,8*x+10,0,4*x-4,-12,1,0,-6*x+12,8,5,0,-3*x-10,-2,-x+4,0,2*x+11,0,-2*x+11,0,-x-6,-4*x+4,4*x+5,0,x+2,8*x-4,4*x-8,0,-2*x-9,10*x-8,-4*x+6,0,0,0,-1,0,-4*x-3,4*x,-2*x-22,0,-4*x+15,0,2*x,0,-x,-4*x+8,-4*x+14,0,-2,0,-4*x+12,0,6*x,-20,2*x+6,0,6,-4*x,-2*x+19,0,-1,8*x-10,x,0,2*x-24,0,-2*x-4,0,2*x+10,2,-2*x-4,0,2*x+10,16,3*x-18,0,-2*x-4,-6*x-20,x+6,0,8*x-6,0,-6*x-25,0,2*x-2,-4*x+22,4*x+16,0,-4*x-3,-8*x+8,2*x-1,0,-4*x,2*x+4,-6*x+2,0,1,0,2*x-24,0,6*x-12,-8*x+12,10,0,-x-2,0,7,0,-2*x+12,-8*x-6,-3*x+18,0,10*x,0,2,0,7*x+8,4*x,0,0,2*x-6,-8*x+16,-3*x-20,0,6*x+6,-4,2,0,-x+10,0,-8*x+14,0,-x,4*x+12,4*x-20,0,-2*x-12,-8*x,4*x-6,0,-4*x+28,-2,6*x+20,0,6*x-7,0,-6,0,-6*x+8,-4*x-8,2*x+4,0,-7*x+10,4,-8*x+4,0,2*x-8,4*x+20,-2,0,-1,0,-4*x-5,0,-7*x-8,2*x+12,6*x-4,0,-2*x+1,0,8*x-20,0,2*x+20,4*x-4,-2*x+2,0,4*x+14,0,-8*x+17,0,7,4*x-2,11*x+20,0,4*x-8,4*x+8,x+2,0,5*x-4,2,-4*x-21,0,x-10,0,15*x+4,0,-4*x-4,20,2*x+8,0,8*x-10,0,2*x,0,0,-4*x+24,-5*x+32,0,-6*x-6,0,x+8,0,-10*x-10,4,6*x+2,0,-2*x+4,8*x,7*x+6,0,2*x-1,4*x-12,x,0,-4*x-8,0,-8*x+26,0,-5*x+10,4,-10,0,8*x+10,0,-2*x+1,0,-5*x,-2*x,-2*x+7,0,6,0,-4*x-20,0,4*x-5,8*x-12,4*x-2,0,2*x-16,-4,-10*x+19,0,-8*x-5,12*x-14,-4*x-2,0,-8*x,0,1,0,-14,4*x+8,-2*x-10,0,-12,8,-7*x+20,0,-2*x-4,4*x-16,-4*x+4,0,-3*x-10,0,-6*x-10,0,2*x-2,-8*x-10,6*x-24,0,-28,4*x+24,-x,0,-3*x-14,-4*x+2,-2*x+11,0,4*x+2,0,0,0,-20,-4*x+4,-5*x+4,0,-5*x+14,0,14*x+16,0,x+2,14,-8*x+10,0,4*x-30,0,4*x+1,0,-5*x+4,2*x+4,-14*x+2,0,-2*x,4,-4*x+6,0,14*x-10,2*x-20]];

E[652,1] = [x^2-2, [1,0,x,0,2*x,0,x-2,0,-1,0,2,0,-x,0,4,0,x+4,0,x+6,0,-2*x+2,0,-4*x+2,0,3,0,-4*x,0,x-8,0,3*x+2,0,2*x,0,-4*x+4,0,-x,0,-2,0,-6*x-3,0,2*x+1,0,-2*x,0,-2*x+1,0,-4*x-1,0,4*x+2,0,4*x+7,0,4*x,0,6*x+2,0,3*x+2,0,-3,0,-x+2,0,-4,0,2*x+2,0,2*x-8,0,-6*x+1,0,-3*x+2,0,3*x,0,2*x-4,0,-6*x,0,-5,0,-6*x+1,0,8*x+4,0,-8*x+2,0,2*x+2,0,2*x-2,0,2*x+6,0,12*x+4,0,-8*x-7,0,-2,0,x+4,0,-2*x-12,0,4*x-8,0,-2*x+14,0,3*x-14,0,-2,0,9,0,4*x-16,0,x,0,2*x-6,0,-7,0,-3*x-12,0,-4*x,0,-4*x+8,0,x+4,0,13,0,4*x-10,0,-16,0,-5*x-2,0,-2*x+4,0,x-4,0,-2*x,0,-16*x+4,0,-x-8,0,-18,0,8*x+3,0,-x-4,0,4*x+12,0,6*x-14,0,7*x+8,0,10*x-12,0,-1,0,8,0,-4*x+6,0,-11,0,-x-6,0,-12*x+5,0,3*x-6,0,2*x+6,0,-4*x-14,0,4*x+10,0,-3*x,0,-4,0,2*x+8,0,8*x-8,0,3*x+14,0,-7*x+16,0,-4*x,0,4*x-5,0,-6*x+10,0,2*x+4,0,-10*x+18,0,-6*x-24,0,4*x-2,0,2*x+12,0,17*x-4,0,x-12,0,2*x+8,0,-4*x+2,0,2*x-6,0,-4*x-2,0,-10*x-15,0,-3,0,18*x+2,0,-16*x-6,0,-4*x+4,0,20,0,2*x-8,0,-12,0,-11*x-2,0,-8*x+12,0,7*x,0,-2*x-16,0,-6*x-2,0,x-12,0,5,0,-8*x+4,0,4*x+16,0,-4*x+8,0,2*x-2,0,-x+8,0,10*x-6,0,14*x+16,0,2*x+4,0,-7*x,0,-6*x+12,0,-2*x+4,0,6,0,5*x,0,-3*x-2,0,12*x+1,0,-6*x-10,0,4*x+24,0,9*x-6,0,8*x+1,0,-7*x-16,0,-10*x+2,0,4*x+12,0,-8*x,0,-2*x+8,0,-3*x+2,0,4*x+2,0,-6*x,0,20*x-2,0,-12*x-4,0,-15*x+8,0,-2*x-1,0,4*x-4,0,9*x+14,0,2*x-16,0,14*x-4,0,10*x+26,0,-3*x,0,-14*x+6,0,5*x-6,0,-3*x-4,0,x,0,4*x+8,0,-12*x+8,0,9*x,0,6*x+4,0,8,0,-16*x+8,0,6*x+17,0,-x+18,0,8,0,5*x+18,0,2*x-24,0,-6*x+4,0,6*x-14,0,12*x+19,0,-7*x,0,4*x-12,0,8*x-17,0,6*x+3,0,-x-6,0,6*x-3,0,-8,0,8*x-2,0,-8*x+21,0,8*x-8,0,4*x+27,0,-8*x+8,0,-2*x-1,0,21*x-2,0,-14*x,0,13*x,0,-24,0,6*x+5,0,-10*x+8,0,-11*x+14,0,-2*x-6,0,-10*x,0,-2*x,0,14*x+11,0,-2*x-10,0,-4*x+2,0,2*x-24,0,4*x-4,0,-8*x+12,0,-16*x-5,0,2*x-1,0,3*x+12,0,-3*x+6,0,-4,0,17*x,0,-9*x+26,0,4*x-32,0,-22*x+4,0,6*x-11,0,4*x+1,0,-3*x+10,0,4*x+8,0,-18*x,0,9*x,0,-12*x-6,0,3*x+16,0,-4*x+8,0,14*x-3,0,-16*x-8,0,14*x+3,0,10*x-14,0,12*x+8,0,14*x-20,0,-2*x,0,-14*x+12,0,4*x+2,0,3*x+18,0,-4*x-7,0,-9*x+8,0,2,0,-12*x+20,0,-14*x-32,0,4*x+6,0,-x,0,-10*x-2,0,-4*x-30,0,-4*x,0,13*x-14,0,-6*x-3,0]];
E[652,2] = [x^5-5*x^4-x^3+31*x^2-24*x-21, 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E[652,3] = [x^6+5*x^5+x^4-19*x^3-8*x^2+15*x+8, 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E[653,1] = [x^7-8*x^5+19*x^3-12*x-1, 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