\\ an_s2g0new_926-950_hiprec.gp \\ This is a PARI readable nonnormalized basis for S_2(Gamma_0(N)) for N \\ in the range: 926 <= N <= 950. \\ The number of a_n computed is always at least 500. \\ William Stein (was@math.berkeley.edu) E[926,1] = [x, [1,1,2,1,0,2,0,1,1,0,2,2,0,0,0,1,2,1,6,0,0,2,-4,2,-5,0,-4,0,6,0,0,1,4,2,0,1,8,6,0,0,-2,0,-4,2,0,-4,0,2,-7,-5,4,0,-12,-4,0,0,12,6,-12,0,-2,0,0,1,0,4,-16,2,-8,0,16,1,10,8,-10,6,0,0,8,0,-11,-2,-6,0,0,-4,12,2,6,0,0,-4,0,0,0,2,-18,-7,2,-5,-12,4,-8,0,0,-12,-18,-4,18,0,16,0,2,12,0,6,0,-12,0,0,-7,-2,-4,0,0,0,8,1,-8,0,12,4,0,-16,0,2,14,-8,10,0,0,16,0,1,0,10,-14,8,-6,-10,4,6,2,0,0,0,-12,8,-24,0,0,-11,20,-2,0,-6,0,0,-13,0,6,-4,10,12,0,2,-24,6,0,0,14,0,-4,-4,0,0,4,0,0,0,-16,2,22,-18,0,-7,-12,2,8,-5,-32,-12,0,4,0,-8,-4,0,12,0,-8,-12,32,-18,0,-4,0,18,20,0,0,16,12,0,-5,2,-18,12,14,0,0,6,2,0,0,-12,16,0,-8,0,-2,-7,-10,-2,0,-4,0,0,-12,0,-4,0,-8,8,0,1,-22,-8,0,0,6,12,0,4,0,0,12,-16,0,0,0,2,0,14,-10,-8,-2,10,0,0,-6,0,28,16,0,0,0,1,-13,0,-36,10,-10,-14,0,8,-8,-6,0,-10,0,4,-24,6,0,2,-26,0,-16,0,24,0,-6,-12,0,8,0,-24,12,0,-36,0,12,-11,0,20,36,-2,0,0,34,-6,8,0,0,0,-14,-13,4,0,0,6,0,-4,0,10,30,12,-8,0,0,2,-6,-24,0,6,0,0,8,0,17,14,-14,0,0,-4,32,-4,-2,0,0,0,-34,4,0,0,0,0,-6,0,16,-16,24,2,0,22,-4,-18,-6,0,-8,-7,24,-12,0,2,-8,8,0,-5,6,-32,0,-12,0,0,16,4,26,0,28,-8,0,-4,0,0,20,12,20,0,24,-8,0,-12,-10,32,0,-18,0,0,-32,-4,38,0,0,18,-24,20,24,0,-7,0,8,16,0,12,-12,0,-18,-5,-4,2,8,-18,0,12,26,14,-8,0,-28,0,-1,6,0,2,28,0,0,0,-24,-12,-8,16,-30,0,-12,-8,40,0,0,-2,0,-7,0,-10,40,-2,40,0,6,-4,12,0,0,0,0,-12,-4,0]]; E[926,2] = [x^5+5*x^4+5*x^3-5*x^2-6*x-1, [1,1,x,1,x^3+2*x^2-3*x-3,x,-x^3-2*x^2+2*x,1,x^2-3,x^3+2*x^2-3*x-3,-2*x^4-10*x^3-9*x^2+11*x+6,x,3*x^4+13*x^3+7*x^2-18*x-9,-x^3-2*x^2+2*x,x^4+2*x^3-3*x^2-3*x,1,x^4+5*x^3+5*x^2-5*x-6,x^2-3,-2*x^4-9*x^3-6*x^2+12*x+3,x^3+2*x^2-3*x-3,-x^4-2*x^3+2*x^2,-2*x^4-10*x^3-9*x^2+11*x+6,-2*x^4-8*x^3-x^2+15*x+1,x,-2*x^4-8*x^3-2*x^2+13*x+3,3*x^4+13*x^3+7*x^2-18*x-9,x^3-6*x,-x^3-2*x^2+2*x,4*x^4+16*x^3+6*x^2-21*x-7,x^4+2*x^3-3*x^2-3*x,3*x^4+13*x^3+6*x^2-19*x-8,1,x^3+x^2-6*x-2,x^4+5*x^3+5*x^2-5*x-6,x^4+3*x^3-x^2-x+1,x^2-3,-x^4-2*x^3+5*x^2+6*x-4,-2*x^4-9*x^3-6*x^2+12*x+3,-2*x^4-8*x^3-3*x^2+9*x+3,x^3+2*x^2-3*x-3,2*x^3+7*x^2+4*x-2,-x^4-2*x^3+2*x^2,-7*x^4-29*x^3-14*x^2+40*x+16,-2*x^4-10*x^3-9*x^2+11*x+6,-3*x^4-11*x^3-4*x^2+15*x+10,-2*x^4-8*x^3-x^2+15*x+1,x^4+3*x^3-2*x^2-3*x+2,x,2*x^3+5*x^2-5*x-8,-2*x^4-8*x^3-2*x^2+13*x+3,1,3*x^4+13*x^3+7*x^2-18*x-9,3*x^4+10*x^3-2*x^2-19*x-3,x^3-6*x,4*x^4+18*x^3+15*x^2-13*x-11,-x^3-2*x^2+2*x,x^4+4*x^3+2*x^2-9*x-2,4*x^4+16*x^3+6*x^2-21*x-7,4*x^4+18*x^3+16*x^2-12*x-15,x^4+2*x^3-3*x^2-3*x,-x^3-6*x^2-6*x+1,3*x^4+13*x^3+6*x^2-19*x-8,3*x^4+10*x^3+x^2-12*x-1,1,-2*x^4-12*x^3-13*x^2+19*x+16,x^3+x^2-6*x-2,-2*x^4-10*x^3-12*x^2+7*x+11,x^4+5*x^3+5*x^2-5*x-6,2*x^4+9*x^3+5*x^2-11*x-2,x^4+3*x^3-x^2-x+1,3*x^4+12*x^3+3*x^2-18*x-2,x^2-3,x^3+2*x^2-5*x-2,-x^4-2*x^3+5*x^2+6*x-4,2*x^4+8*x^3+3*x^2-9*x-2,-2*x^4-9*x^3-6*x^2+12*x+3,2*x^4+11*x^3+11*x^2-14*x-5,-2*x^4-8*x^3-3*x^2+9*x+3,-4*x^4-18*x^3-10*x^2+27*x+8,x^3+2*x^2-3*x-3,x^4-9*x^2+9,2*x^3+7*x^2+4*x-2,-x^4-5*x^3-7*x^2+x+6,-x^4-2*x^3+2*x^2,-3*x^4-15*x^3-14*x^2+17*x+15,-7*x^4-29*x^3-14*x^2+40*x+16,-4*x^4-14*x^3-x^2+17*x+4,-2*x^4-10*x^3-9*x^2+11*x+6,-4*x^4-15*x^3-2*x^2+22*x+5,-3*x^4-11*x^3-4*x^2+15*x+10,-5*x^4-19*x^3-5*x^2+26*x+8,-2*x^4-8*x^3-x^2+15*x+1,-2*x^4-9*x^3-4*x^2+10*x+3,x^4+3*x^3-2*x^2-3*x+2,3*x^4+10*x^3+3*x^2-6*x-2,x,-2*x^4-11*x^3-12*x^2+13*x+11,2*x^3+5*x^2-5*x-8,7*x^4+31*x^3+21*x^2-35*x-18,-2*x^4-8*x^3-2*x^2+13*x+3,x^3+6*x^2-9,1,x^4+3*x^3-x^2-9*x-4,3*x^4+13*x^3+7*x^2-18*x-9,-2*x^4-6*x^3+4*x^2+7*x+1,3*x^4+10*x^3-2*x^2-19*x-3,2*x^4+9*x^3+4*x^2-15*x-1,x^3-6*x,4*x^4+20*x^3+16*x^2-30*x-17,4*x^4+18*x^3+15*x^2-13*x-11,3*x^4+10*x^3+x^2-10*x-1,-x^3-2*x^2+2*x,-4*x^4-21*x^3-18*x^2+28*x+21,x^4+4*x^3+2*x^2-9*x-2,-2*x^4-9*x^3-9*x^2+4*x+6,4*x^4+16*x^3+6*x^2-21*x-7,-7*x^4-32*x^3-22*x^2+45*x+25,4*x^4+18*x^3+16*x^2-12*x-15,-x^2-2*x+2,x^4+2*x^3-3*x^2-3*x,x^4+6*x^3+9*x^2+4*x+1,-x^3-6*x^2-6*x+1,2*x^4+7*x^3+4*x^2-2*x,3*x^4+13*x^3+6*x^2-19*x-8,-x^4-8*x^3-11*x^2+13*x+14,3*x^4+10*x^3+x^2-12*x-1,4*x^3+5*x^2-16*x-4,1,6*x^4+21*x^3+5*x^2-26*x-7,-2*x^4-12*x^3-13*x^2+19*x+16,-14*x^4-59*x^3-32*x^2+76*x+32,x^3+x^2-6*x-2,2*x^4+13*x^3+13*x^2-21*x-5,-2*x^4-10*x^3-12*x^2+7*x+11,x^4+5*x^3+9*x^2+x-3,x^4+5*x^3+5*x^2-5*x-6,-5*x^4-25*x^3-18*x^2+37*x+22,2*x^4+9*x^3+5*x^2-11*x-2,14*x^4+59*x^3+31*x^2-77*x-38,x^4+3*x^3-x^2-x+1,-2*x^4-7*x^3+2*x^2+8*x+1,3*x^4+12*x^3+3*x^2-18*x-2,5*x^3+18*x^2+4*x-17,x^2-3,x^4-x^3-11*x^2+4*x+7,x^3+2*x^2-5*x-2,2*x^4+5*x^3-5*x^2-8*x,-x^4-2*x^3+5*x^2+6*x-4,5*x^4+24*x^3+16*x^2-36*x-13,2*x^4+8*x^3+3*x^2-9*x-2,-x^4+2*x^3+17*x^2+6*x-12,-2*x^4-9*x^3-6*x^2+12*x+3,-3*x^4-15*x^3-15*x^2+16*x+18,2*x^4+11*x^3+11*x^2-14*x-5,-5*x^3-10*x^2+13*x+12,-2*x^4-8*x^3-3*x^2+9*x+3,3*x^3+3*x^2-15*x-5,-4*x^4-18*x^3-10*x^2+27*x+8,-5*x^4-17*x^3-4*x^2+15*x+3,x^3+2*x^2-3*x-3,6*x^4+24*x^3+7*x^2-38*x-7,x^4-9*x^2+9,-4*x^4-11*x^3+10*x^2+17*x-14,2*x^3+7*x^2+4*x-2,-2*x^4-5*x^3+7*x^2+13*x+4,-x^4-5*x^3-7*x^2+x+6,-5*x^3-16*x^2-2*x+6,-x^4-2*x^3+2*x^2,-4*x^4-19*x^3-18*x^2+19*x+17,-3*x^4-15*x^3-14*x^2+17*x+15,5*x^4+24*x^3+14*x^2-32*x-8,-7*x^4-29*x^3-14*x^2+40*x+16,-6*x^4-28*x^3-25*x^2+25*x+23,-4*x^4-14*x^3-x^2+17*x+4,5*x^4+19*x^3+4*x^2-28*x-6,-2*x^4-10*x^3-9*x^2+11*x+6,-2*x^4-4*x^3+8*x^2+9*x+4,-4*x^4-15*x^3-2*x^2+22*x+5,3*x^4+19*x^3+15*x^2-43*x-14,-3*x^4-11*x^3-4*x^2+15*x+10,15*x^4+60*x^3+22*x^2-91*x-40,-5*x^4-19*x^3-5*x^2+26*x+8,-x^4-6*x^3-6*x^2+x,-2*x^4-8*x^3-x^2+15*x+1,-5*x^4-22*x^3-16*x^2+19*x+16,-2*x^4-9*x^3-4*x^2+10*x+3,6*x^4+28*x^3+20*x^2-39*x-25,x^4+3*x^3-2*x^2-3*x+2,-2*x^4-8*x^3-3*x^2+17*x+3,3*x^4+10*x^3+3*x^2-6*x-2,12*x^4+48*x^3+20*x^2-57*x-17,x,3*x^4+20*x^3+24*x^2-30*x-14,-2*x^4-11*x^3-12*x^2+13*x+11,-2*x^4-3*x^3+9*x^2+4*x-2,2*x^3+5*x^2-5*x-8,-2*x^4-7*x^3-x^2+18*x+11,7*x^4+31*x^3+21*x^2-35*x-18,-11*x^4-48*x^3-28*x^2+65*x+26,-2*x^4-8*x^3-2*x^2+13*x+3,-2*x^3-3*x^2-x-2,x^3+6*x^2-9,-9*x^4-33*x^3-6*x^2+42*x+10,1,-3*x^4-16*x^3-20*x^2+2*x+7,x^4+3*x^3-x^2-9*x-4,5*x^4+19*x^3+2*x^2-35*x-1,3*x^4+13*x^3+7*x^2-18*x-9,6*x^4+29*x^3+22*x^2-35*x-7,-2*x^4-6*x^3+4*x^2+7*x+1,-x^4+11*x^2+11*x+3,3*x^4+10*x^3-2*x^2-19*x-3,-3*x^4-12*x^3-3*x^2+16*x+3,2*x^4+9*x^3+4*x^2-15*x-1,5*x^4+23*x^3+19*x^2-32*x-24,x^3-6*x,-7*x^4-25*x^3-4*x^2+34*x+9,4*x^4+20*x^3+16*x^2-30*x-17,x^4+2*x^3-5*x^2-2*x,4*x^4+18*x^3+15*x^2-13*x-11,-9*x^4-42*x^3-32*x^2+52*x+36,3*x^4+10*x^3+x^2-10*x-1,-7*x^4-34*x^3-26*x^2+44*x+29,-x^3-2*x^2+2*x,4*x^4+17*x^3+7*x^2-29*x-7,-4*x^4-21*x^3-18*x^2+28*x+21,-6*x^4-23*x^3-x^2+37*x-5,x^4+4*x^3+2*x^2-9*x-2,6*x^4+28*x^3+28*x^2-13*x-28,-2*x^4-9*x^3-9*x^2+4*x+6,x^4+x^3-4*x^2+7*x+2,4*x^4+16*x^3+6*x^2-21*x-7,x^4+2*x^3-4*x^2-9*x+10,-7*x^4-32*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