\\ an_s2g0new_976-1000_hiprec.gp \\ This is a PARI readable nonnormalized basis for S_2(Gamma_0(N)) for N \\ in the range: 976 <= N <= 1000. \\ The number of a_n computed is always at least 500. \\ William Stein (was@math.berkeley.edu) E[976,1] = [x^2+x-3, [1,0,x,0,0,0,-x-3,0,-x,0,-2*x-2,0,2*x+4,0,0,0,-2*x-2,0,3*x+1,0,-2*x-3,0,-3*x,0,-5,0,-2*x-3,0,x-5,0,-x,0,-6,0,0,0,-x-2,0,2*x+6,0,-3*x-6,0,-8,0,0,0,4*x-2,0,5*x+5,0,-6,0,5*x+2,0,0,0,-2*x+9,0,0,0,1,0,2*x+3,0,0,0,4*x+2,0,3*x-9,0,3*x-3,0,-3*x-1,0,-5*x,0,6*x+12,0,4*x+8,0,2*x-6,0,3*x-3,0,0,0,-6*x+3,0,-2*x-8,0,-8*x-18,0,x-3,0,0,0,-5*x+6,0,6,0,-x+2,0,-2*x+14,0,0,0,5*x-1,0,2*x-8,0,-x-3,0,-3*x+3,0,0,0,-2*x-6,0,6*x+12,0,4*x+5,0,-3*x-9,0,0,0,2*x-12,0,-8*x,0,4*x-8,0,-7*x-12,0,0,0,9*x+6,0,2*x+12,0,-6*x+12,0,-8*x-20,0,0,0,15,0,6*x+12,0,-5*x+8,0,6,0,0,0,-7*x-5,0,-3*x+15,0,6*x+9,0,-5*x-4,0,0,0,-6*x-6,0,12*x+15,0,2*x-9,0,-7*x-1,0,5*x+15,0,0,0,x-20,0,-3*x-1,0,x,0,0,0,4*x+16,0,7*x+15,0,-x+20,0,-6*x-10,0,0,0,-4*x+8,0,-2*x-10,0,-2*x+12,0,3*x+12,0,0,0,-3*x+9,0,-2*x-20,0,-6*x-2,0,-6*x+9,0,0,0,2*x+3,0,2*x-9,0,-8*x-20,0,4*x+8,0,5*x,0,-2*x-8,0,-2*x-12,0,6*x+18,0,18,0,0,0,4*x+12,0,-2*x-8,0,15*x+5,0,-2*x+15,0,0,0,8*x+22,0,-6*x+9,0,-10*x-16,0,18,0,0,0,-3*x-21,0,4*x+9,0,6*x-3,0,-8*x+4,0,0,0,-6*x-6,0,-12,0,-2,0,-10*x-24,0,10*x+10,0,x+3,0,-x+3,0,-24,0,5*x+24,0,0,0,12*x+27,0,4*x-1,0,11*x-15,0,4*x+10,0,0,0,6*x+18,0,-6*x-18,0,8*x+24,0,3*x-3,0,0,0,-8*x+2,0,16*x-6,0,9*x-9,0,-10,0,0,0,0,0,10*x+4,0,-6*x+15,0,-2*x-20,0,-10*x-20,0,-10*x+6,0,-6*x-6,0,6*x-2,0,x+3,0,0,0,8*x+10,0,6*x-9,0,6,0,-8*x-9,0,0,0,-8*x-8,0,-4*x+10,0,-10*x-24,0,3*x-27,0,0,0,6*x+18,0,-5*x-23,0,-3*x+9,0,x+12,0,0,0,-26,0,3*x+9,0,-12*x-21,0,7*x+6,0,0,0,-8*x-14,0,5*x-9,0,-14*x+6,0,3*x+9,0,0,0,8*x,0,-9*x-15,0,18,0,-12*x+12,0,0,0,-x+25,0,-5*x-21,0,6*x,0,-2*x-6,0,0,0,4*x+10,0,8*x+10,0,-3*x+27,0,0,0,0,0,10*x+6,0,10*x-2,0,-13*x+1,0,6*x-12,0,10*x+10,0,-x-3,0,-12*x-24,0,10*x+16,0,2*x-8,0,0,0,6*x-27,0,-4*x-6,0,-15,0,7*x+4,0,0,0,6*x+18,0,-3*x-18,0,12*x+30,0,13*x-15,0,0,0,-4*x+28,0,6*x+18,0,-2*x-14,0,-16*x-6,0,0,0,-16*x-4,0,-10*x-18,0,2*x-21,0,16*x+16,0,-15*x-5,0,3*x-15,0,-8*x+10,0,-6*x-14,0,3*x+18,0,0,0,4*x-22,0,x-15,0,-3*x-9,0,10*x+4,0,0,0,-3*x,0,-14*x-16,0]]; E[976,2] = [x^3+2*x^2-4*x-4, [2,0,2*x,0,-2*x^2-2*x+6,0,x^2-2,0,2*x^2-6,0,-x^2-2*x-6,0,2*x^2-14,0,2*x^2-2*x-8,0,2*x^2+2*x-8,0,-6*x-4,0,-2*x^2+2*x+4,0,x^2+2*x-6,0,-2*x^2-4*x+8,0,-4*x^2-4*x+8,0,2*x^2+2*x-4,0,4*x^2+10*x-8,0,-10*x-4,0,-x^2+2*x-2,0,6*x,0,-4*x^2-6*x+8,0,-4*x^2+18,0,-2*x^2-2*x+16,0,6*x-10,0,-6*x^2-4*x+24,0,2*x^2-2*x-16,0,-2*x^2+8,0,-2*x^2-4*x+4,0,7*x^2+8*x-14,0,-6*x^2-4*x,0,3*x^2+8*x-26,0,2,0,3*x^2-4*x-2,0,8*x^2+14*x-34,0,5*x^2+12*x-18,0,-2*x+4,0,-4*x^2-10*x,0,-4*x^2-2*x+14,0,-8,0,-4*x^2+6,0,x^2+10*x-6,0,-2*x^2-8*x+2,0,-8*x,0,4*x^2+6*x-24,0,-2*x^2+4*x+8,0,-2*x^2+4*x+8,0,-x^2-4*x+6,0,2*x^2+8*x+16,0,-2*x^2+10*x+12,0,8*x^2+8*x-20,0,-7*x^2+2*x+18,0,2*x^2-2*x-16,0,-6*x-12,0,4*x^2-6*x-4,0,4*x^2-4*x-36,0,4*x^2+8*x-2,0,6*x^2,0,-8*x^2-12*x+18,0,5*x^2+4*x-22,0,-4*x^2-8*x+26,0,-2*x+4,0,8*x^2+18*x,0,8*x^2+2*x-16,0,4*x^2+6*x+2,0,-4*x^2-6*x+24,0,2*x^2+8*x-8,0,4*x^2+2*x-20,0,4*x^2-6*x-8,0,-4*x+24,0,-8*x^2-18*x+22,0,-x^2+6,0,8*x^2-24,0,-3*x^2+10*x+42,0,2*x-12,0,-6*x^2-8*x+8,0,2*x^2-2,0,-11*x^2-12*x+34,0,-2*x^2-6*x+16,0,6*x^2-2*x-48,0,-12*x^2-14*x+32,0,-4*x-8,0,-2*x^2+6,0,-4*x^2+10*x+16,0,-6*x^2+14*x+28,0,-2*x^2-14*x+20,0,-12*x^2-8*x+56,0,8*x^2-6*x-12,0,4*x^2+4*x-20,0,2*x^2-8,0,2*x^2-14*x+12,0,4*x^2+12*x-36,0,-8*x^2-16*x+8,0,2*x,0,6*x^2-6*x-24,0,-6*x^2-6*x+20,0,-4*x^2+4*x,0,-5*x^2+4*x+2,0,4*x^2+8*x-24,0,-2*x^2-2*x+32,0,-4*x^2-10*x-10,0,4*x+36,0,2*x^2+2*x+20,0,2*x^2-2*x,0,-6*x^2-18*x+38,0,-5*x^2-2*x+18,0,2*x^2+34*x+24,0,-8*x^2-2*x+16,0,-2*x^2-16*x-16,0,-12*x^2-14*x+48,0,-2*x^2+2*x+12,0,6*x^2-2*x-16,0,-10*x^2-14*x+48,0,-x^2-14*x+2,0,6*x^2+4*x-24,0,9*x^2+26*x-26,0,8*x^2+6*x-34,0,8*x^2-10*x-16,0,4*x^2-2*x-44,0,-10*x^2-20*x+64,0,8*x^2-2*x+4,0,4*x^2+10*x+16,0,-2*x^2+14*x+22,0,8*x^2+6*x-32,0,8*x^2+18*x-32,0,8*x^2+18*x+4,0,-8*x^2,0,-6*x^2+2*x,0,-2*x^2-6*x+14,0,-2*x^2-8*x+16,0,4*x^2+4*x-12,0,-6*x^2+6*x+12,0,2*x^2-6*x+4,0,10*x^2+14*x-12,0,-2*x^2+20,0,8*x^2-8,0,10*x^2+4*x-44,0,14*x^2+10*x-48,0,-2*x^2+2*x-4,0,6*x^2+16*x-16,0,14*x+12,0,-8*x^2-6*x+32,0,6*x^2+8*x,0,-6*x^2-14*x-8,0,14*x^2+4*x-8,0,-3*x^2+8*x-2,0,-6*x^2-8*x-2,0,-8*x^2+12*x+32,0,-2*x^2+20*x+20,0,25*x^2+18*x-98,0,16*x^2+20*x-16,0,-9*x^2-10*x+42,0,4*x^2+2*x-12,0,-6*x^2-8*x+8,0,-2*x^2-2*x+6,0,x^2-14*x-18,0,-6*x^2-12*x,0,-7*x^2-6*x+14,0,4*x^2+12*x-28,0,-11*x^2+6*x+22,0,2*x^2+8*x+36,0,-8*x^2-10*x+8,0,-12*x^2-20*x+16,0,2*x^2-4*x-8,0,14*x^2+20*x-56,0,14*x+16,0,-2*x^2+8*x-8,0,-3*x^2-4*x+18,0,-12*x^2+6*x+24,0,15*x^2+6*x-82,0,-14*x^2+4*x+76,0,4*x^2-14*x-32,0,-16*x^2-50*x+4,0,-7*x^2-6*x+18,0,-6*x^2-2*x+20,0,-4*x^2-10*x-12,0,-8*x^2-14*x+32,0,12*x^2+28*x-40,0,14*x^2-6*x-70,0,2*x^2+10*x+24,0,-2*x^2+4*x,0,8*x^2-10*x-48,0,18*x^2+24*x-30,0,2*x^2+32*x+32,0,-4*x^2-12*x+34,0,-4*x^2-8*x+36,0,-2*x^2+16*x-22,0,-4,0,-14*x^2-30*x+52,0,-2*x^2+18*x+16,0,-6*x^2-14*x+20,0,6*x^2+30*x-16,0,2*x^2+8*x-16,0,7*x^2+2*x-2,0,6*x^2-6*x+2,0,10*x^2+6*x-40,0,-2*x^2+4*x-12,0,-6*x^2-6*x+28,0,-6*x^2-4*x+16,0,13*x^2-4*x-54,0,16*x^2+18*x-48,0,-14*x^2+8*x+16,0,-2*x^2-8*x-16,0,-24*x^2-46*x+64,0,-4*x^2+6*x+30,0,-30*x-12,0,-6*x^2-16*x+12,0,-2*x^2-10*x-32,0,-12*x^2+2*x+30,0,-8*x^2+8*x+32,0,2*x^2+2*x-4,0,-20*x^2-22*x+32,0,-2*x^2-2*x+8,0,2*x^2+20*x-40,0,8*x^2+8*x-40,0,x^2-2,0,16*x^2+30*x-12,0,12*x^2+20*x-36,0,2*x^2-4*x-40,0,2*x^2-12*x,0,-2*x^2+2*x,0,-8*x^2-14*x+52,0,-2*x^2-10*x+24,0,-2*x^2-16*x,0,2*x^2-12*x,0,-4*x^2+6*x+8,0,-2*x^2-10*x-18,0,11*x^2-10*x-54,0,10*x^2-10*x-44,0,-7*x^2-2*x+30,0,-2*x^2-6*x+64,0,4*x^2+8*x-32,0,-24*x-12,0,-12*x^2-24*x+8,0,-14*x^2-24*x+24,0,-5*x^2-12*x+26,0,-6*x^2+2*x+22,0,10*x^2-16*x-48,0,2*x^2-2*x-44,0,4*x^2+8*x+8,0,2*x^2+4*x-12,0,-6*x^2+4*x+12,0,-12*x^2-18*x+24,0,4*x^2-2*x-8,0,4*x^2+12*x-60,0,-8*x^2+2*x+20,0,18*x^2-16,0,-6*x^2+2*x+20,0,-2*x^2-4*x+16,0,5*x^2-20*x+18,0,-2*x^2-2*x-4,0,15*x^2-90,0]]; E[976,3] = [x^3-x^2-5*x-2, 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E[976,4] = [x^3-2*x^2-4*x+4, 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E[976,5] = [x^4-12*x^2-4*x+16, [4,0,4*x,0,-x^3+8*x+8,0,-x^3+2*x^2+8*x-8,0,4*x^2-12,0,-x^3+2*x^2+4*x-8,0,-x^3+12*x+8,0,-4*x^2+4*x+16,0,2*x^3-4*x^2-12*x+24,0,2*x^3-20*x,0,2*x^3-4*x^2-12*x+16,0,-x^3-2*x^2+12*x+8,0,-3*x^3+28*x+12,0,4*x^3-24*x,0,4*x^2-4*x-8,0,-4*x^2-4*x+24,0,2*x^3-8*x^2-12*x+16,0,-x^3+2*x^2+4*x,0,2*x^3-28*x-8,0,4*x+16,0,-x^3+4*x^2+12*x-8,0,-8*x^2+4*x+56,0,-x^3+4*x^2-8*x-24,0,4*x^2-16,0,x^3-16*x-12,0,-4*x^3+12*x^2+32*x-32,0,4*x^2-24,0,-x^3+6*x^2-16,0,4*x^2+8*x-32,0,3*x^3-2*x^2-24*x+8,0,-4,0,-x^3+6*x^2-8,0,-3*x^3-4*x^2+32*x+48,0,-x^3+2*x^2+8,0,-2*x^3+4*x+16,0,4*x^3-4*x^2-44*x-8,0,3*x^3-4*x^2-24*x-8,0,-8*x^2+48,0,-x^3+4*x^2-4*x,0,-x^3-2*x^2-4*x+8,0,12*x^2+16*x-28,0,-8*x^2+32,0,-8*x^2+12*x+32,0,4*x^3-4*x^2-8*x,0,6*x^3-4*x^2-56*x+8,0,x^3-2*x^2-8*x+16,0,-4*x^3-4*x^2+24*x,0,2*x^3+4*x^2-28*x-48,0,-4*x^3+32*x+24,0,-5*x^3+6*x^2+12*x-8,0,-2*x^3-4*x^2+12*x+56,0,-6*x^3+8*x^2+60*x,0,2*x^3-8*x^2-4*x+16,0,-6*x^3+64*x+16,0,5*x^3-4*x^2-44*x+8,0,-4*x^2-32,0,-x^3-4*x^2+4*x+56,0,-x^3-6*x^2+24*x+48,0,3*x^3+4*x^2-20*x-24,0,-2*x^3+36*x-32,0,-3*x^3+12*x^2+8*x-60,0,4*x^3-12*x+16,0,-x^3-4*x^2+24*x+48,0,-4*x^3+36*x-16,0,-8*x^3+4*x^2+56*x,0,6*x^3-68*x-16,0,-4*x^3+8*x^2+36*x-48,0,4*x^3-8*x^2-40*x-32,0,-x^3+4*x^2-8*x-8,0,3*x^3+6*x^2-24*x-56,0,4*x^3-16*x,0,x^3-2*x^2-12*x,0,-2*x^3+8*x^2-4*x-32,0,-4*x^2-8*x-16,0,5*x^3-8*x^2-60*x+40,0,x^3+10*x^2-16*x-88,0,6*x^3-4*x^2-12*x-8,0,-2*x^3+28*x+32,0,2*x^3-20*x-8,0,4*x^3-24*x,0,3*x^3-8*x^2-20*x+32,0,4*x^3-44*x,0,6*x^3-12*x^2-20*x+16,0,-2*x^3+12*x^2+20*x-80,0,-3*x^3-4*x^2+36*x+12,0,-2*x^3+8*x^2+28*x,0,-4*x^3+16*x^2+40*x-88,0,2*x^3-4*x^2-24*x+40,0,-2*x^3+12*x^2+20*x-48,0,-2*x^3+16*x+32,0,6*x^3-8*x^2-40*x+40,0,-4*x,0,4*x^3+12*x^2-52*x-96,0,2*x^3-12*x^2+4*x,0,24*x-32,0,x^3+6*x^2-16*x-88,0,-2*x^3+24*x-56,0,-4*x^3-4*x^2+36*x+48,0,-x^3-4*x^2+24*x+8,0,-2*x^3+32*x+16,0,2*x^3-12*x^2+4*x+16,0,-4*x^3+12*x^2+20*x-32,0,-3*x^3+16*x+16,0,3*x^3-14*x^2-28*x+8,0,-4*x^3+4*x^2+28*x-16,0,-4*x^2+20*x+24,0,-4*x^3+4*x^2+8*x-64,0,-6*x^3-12*x^2+84*x+128,0,-4*x^3+4*x^2+36*x-32,0,-4*x^3+12*x^2+4*x-48,0,-4*x^3+4*x^2+44*x,0,3*x^3-6*x^2-20*x-24,0,x^3-36*x-36,0,x^3-2*x^2-36*x+40,0,-5*x^3+4*x^2+40*x-56,0,4*x^3-16*x^2-4*x+16,0,8*x^3-8*x^2-84*x+24,0,4*x^2-16*x-32,0,-2*x^3-16*x^2+4*x+16,0,8*x^3-76*x-32,0,7*x^3-16*x^2-56*x+88,0,16*x^2+44*x,0,4*x^3+8*x^2-44*x-72,0,2*x^3+8*x^2-20*x-80,0,-8*x^3+32*x,0,-8*x^2+12*x+72,0,5*x^3-8*x^2-24*x+16,0,-8*x^3+12*x^2+32*x,0,-8*x^2+24*x+88,0,-6*x^3+12*x^2+44*x-64,0,-4*x^3+28*x^2+28*x-40,0,2*x^3+4*x^2-36*x+16,0,2*x^3+4*x^2-32*x-48,0,-4*x^3+16*x^2+32*x-96,0,-4*x^3+4*x^2+24*x+24,0,8*x^3-12*x^2-52*x+48,0,-2*x^3+4*x^2+20*x-16,0,2*x^3+4*x^2-24*x-8,0,16*x^2-4*x-104,0,-4*x^3-12*x^2-4*x-8,0,2*x^3-4*x^2-48*x+8,0,-12*x^2-4*x+128,0,4*x^3-4*x^2-40*x-32,0,x^3+2*x^2-16*x+16,0,4*x^3+4*x^2-64*x+12,0,-16*x^2+8*x+64,0,-4*x^3+12*x^2+40*x-40,0,3*x^3-2*x^2-28*x-32,0,-24*x^2+8*x+32,0,-3*x^3-6*x^2+28*x+64,0,-4*x^3+52*x-32,0,-4*x^3-12*x^2+48*x+32,0,x^3-8*x-8,0,5*x^3-2*x^2-68*x-56,0,8*x^3-12*x^2-24*x+96,0,-3*x^3-10*x^2+44*x+24,0,4*x^3-24*x+8,0,-5*x^3+14*x^2+12*x-32,0,-4*x^3-12*x^2+64*x+72,0,-8*x^3+16*x^2+28*x-32,0,-8*x^2-8*x+96,0,12*x^3-12*x^2-104*x+64,0,-6*x^3-12*x^2+64*x+136,0,-4*x^3+16*x^2+28*x-80,0,4*x^2-8*x,0,-7*x^3+18*x^2+64*x-104,0,-10*x^3+52*x+24,0,-5*x^3+10*x^2+28*x,0,4*x^3+4*x^2-32*x-56,0,-4*x^3-8*x^2+52*x+16,0,8*x^2+12*x-32,0,5*x^3-10*x^2-44*x+32,0,-6*x^3+12*x^2+44*x+16,0,10*x^3-16*x^2-76*x+80,0,2*x^3+16*x^2-20*x-72,0,4*x^3+16*x^2-24*x-96,0,-3*x^3-8*x^2+24*x+56,0,10*x^3+8*x^2-92*x-128,0,12*x^2-40*x+32,0,4*x^3-12*x^2-28*x+56,0,4*x^3-12*x^2-32*x+52,0,12*x^3-28*x^2-72*x+48,0,9*x^3-4*x^2-68*x-64,0,-6*x^3+16*x^2+56*x-80,0,3*x^3+24*x^2-4*x-40,0,2*x^3-24*x+16,0,8*x^3-4*x^2-68*x+24,0,-4*x^3+12*x^2+44*x+16,0,2*x^3+4*x^2-12*x-32,0,4*x^2+4*x-80,0,-12*x^2-32*x+64,0,-11*x^3+18*x^2+92*x-72,0,-5*x^3+16*x^2+16*x-32,0,4*x^3-16*x^2-44*x-40,0,4*x^3-12*x^2-32*x+136,0,-10*x^3+12*x^2+68*x-32,0,4*x^2+8*x-96,0,-x^3+10*x^2+8*x-16,0,-2*x^3-8*x^2+44*x+24,0,8*x^3-12*x^2-64*x+64,0,-2*x^3-12*x^2+136,0,-6*x^3-4*x^2+52*x+32,0,-5*x^3-4*x^2+8*x+8,0,-6*x^3+16*x^2+44*x-32,0,-4*x^3+4*x^2+24*x-24,0,4*x^3-20*x^2-12*x+16,0,-3*x^3+4*x^2+40*x-48,0,-8*x^2+32*x+64,0,6*x^3+12*x^2-44*x-48,0,-4*x^2+12*x+136,0,-6*x^3-4*x^2+76*x+88,0,20*x^2+16*x-16,0,-10*x^3+104*x-8,0,x^3-2*x^2-8*x+8,0,-2*x^3+4*x-16,0,2*x^3,0,6*x^3-4*x^2-24*x+8,0,8*x^3-28*x^2-40*x+32,0,4*x^2-4*x-80,0,2*x^3-16*x^2-36*x+96,0,-7*x^3-8*x^2+32*x+36,0,-8*x^3+12*x^2+72*x-32,0,8*x^3+4*x^2-80*x-112,0,-8*x^3+60*x-80,0,3*x^3-16*x^2-8*x+152,0,-3*x^3+2*x^2-4*x,0,10*x^3-4*x^2-84*x-16,0,-x^3-2*x^2+12*x+16,0,6*x^3-4*x^2-76*x-40,0,8*x^3+24*x^2-80*x,0,4*x^3-16*x+8,0,8*x^3-24*x^2-48*x+160,0,4*x^2+24*x+32,0,-11*x^3+14*x^2+96*x-8,0,-7*x^3+16*x^2+40*x-48,0,4*x^2-32,0,4*x^3-4*x^2-4*x-32,0,16*x^2-16*x-176,0,12*x^2+16*x+8,0,6*x^3-28*x^2-56*x+160,0,4*x^3+8*x^2-52*x-128,0,-8*x^3+16*x^2+44*x-48,0,-10*x^3+96*x+112,0,10*x^3-8*x^2-68*x+48,0,4*x^2+16*x-64,0,-2*x^3-12*x^2+52*x+64,0,12*x^3-20*x^2-56*x+48,0,-9*x^3+34*x^2+40*x-48,0,-4*x^3+4*x^2+44*x-64,0,11*x^3+6*x^2-104*x-56,0]]; E[976,6] = [x^6+3*x^5-9*x^4-26*x^3+16*x^2+52*x+16, [4,0,4*x,0,-x^5-3*x^4+9*x^3+22*x^2-20*x-24,0,x^5+x^4-11*x^3-4*x^2+28*x,0,4*x^2-12,0,-x^5-x^4+15*x^3+12*x^2-48*x-32,0,x^5+3*x^4-5*x^3-18*x^2+24,0,-4*x^3-4*x^2+28*x+16,0,2*x^5+2*x^4-26*x^3-20*x^2+76*x+56,0,-2*x^5-6*x^4+14*x^3+36*x^2-20*x-32,0,-2*x^5-2*x^4+22*x^3+12*x^2-52*x-16,0,-x^5-x^4+11*x^3-32*x+16,0,-x^5-3*x^4+5*x^3+10*x^2+28,0,4*x^3-24*x,0,-4*x^3-8*x^2+28*x+40,0,-4*x,0,2*x^5+6*x^4-14*x^3-32*x^2+20*x+16,0,5*x^5+9*x^4-55*x^3-64*x^2+144*x+96,0,-2*x^5-2*x^4+22*x^3+16*x^2-44*x-24,0,4*x^4+8*x^3-16*x^2-28*x-16,0,x^5+3*x^4-x^3-6*x^2-24*x-24,0,4*x^3+4*x^2-28*x-16,0,3*x^5+5*x^4-31*x^3-38*x^2+76*x+72,0,4*x^5+8*x^4-40*x^3-52*x^2+88*x+64,0,-3*x^5-5*x^4+35*x^3+34*x^2-108*x-44,0,-4*x^5-8*x^4+32*x^3+44*x^2-48*x-32,0,4*x^3+4*x^2-24*x-8,0,-x^5+3*x^4+23*x^3-20*x^2-92*x+16,0,-4*x^4-16*x^3+12*x^2+72*x+32,0,x^5+x^4-11*x^3+20*x-16,0,4,0,x^5+x^4-7*x^3-8*x^2+4*x+32,0,-3*x^5-5*x^4+39*x^3+54*x^2-124*x-128,0,-3*x^5-7*x^4+29*x^3+52*x^2-68*x-80,0,2*x^5+2*x^4-26*x^3-16*x^2+68*x+16,0,-4*x^3-8*x^2+20*x+64,0,-x^5-3*x^4+9*x^3+26*x^2-28*x-40,0,-4*x^4-16*x^3+16*x^2+80*x+16,0,5*x^5+11*x^4-53*x^3-78*x^2+144*x+96,0,-x^5-5*x^4+11*x^3+48*x^2-32*x-80,0,4*x^4-36*x^2+36,0,4*x^4+12*x^3-24*x^2-48*x+16,0,-8*x^4-20*x^3+60*x^2+100*x-64,0,-4*x^4-8*x^3+28*x^2+40*x,0,2*x^5+2*x^4-22*x^3-24*x^2+40*x+72,0,x^5+x^4-11*x^3+8*x^2+28*x-48,0,-4*x^2,0,-2*x^5-6*x^4+6*x^3+16*x^2+28*x+80,0,4*x^5+8*x^4-36*x^3-56*x^2+64*x+72,0,3*x^5+7*x^4-25*x^3-48*x^2+56*x+64,0,-6*x^5-10*x^4+62*x^3+60*x^2-156*x-88,0,2*x^5+2*x^4-34*x^3-36*x^2+124*x+112,0,-6*x^5-10*x^4+66*x^3+64*x^2-164*x-80,0,2*x^5+2*x^4-22*x^3-12*x^2+32*x+16,0,-x^5+x^4+25*x^3+6*x^2-112*x-40,0,4*x^5+4*x^4-36*x^3-12*x^2+80*x+32,0,5*x^5+15*x^4-41*x^3-102*x^2+96*x+104,0,-9*x^5-17*x^4+99*x^3+128*x^2-268*x-208,0,x^5-x^4-x^3+26*x^2-16*x-72,0,-6*x^5-14*x^4+62*x^3+108*x^2-172*x-144,0,-3*x^5-5*x^4+31*x^3+30*x^2-68*x-28,0,8*x^4+20*x^3-40*x^2-76*x-16,0,-5*x^5-11*x^4+41*x^3+66*x^2-68*x-64,0,4*x^4-48*x^2+4*x+80,0,4*x^4+4*x^3-28*x^2-16*x,0,2*x^5+10*x^4-10*x^3-68*x^2+12*x+64,0,4*x^5+8*x^4-48*x^3-68*x^2+140*x+112,0,-4*x^5-4*x^4+52*x^3+40*x^2-168*x-96,0,-x^5-3*x^4+5*x^3+26*x^2+4*x-40,0,x^5+x^4-19*x^3-24*x^2+68*x+48,0,-4*x^5-4*x^4+52*x^3+24*x^2-144*x-64,0,-5*x^5-9*x^4+55*x^3+80*x^2-128*x-128,0,-6*x^5-18*x^4+42*x^3+120*x^2-36*x-128,0,4*x^5+8*x^4-44*x^3-60*x^2+112*x+48,0,3*x^5+x^4-39*x^3+2*x^2+96*x-8,0,3*x^5+7*x^4-25*x^3-56*x^2+28*x+96,0,-2*x^5-10*x^4+18*x^3+76*x^2-52*x-104,0,4*x^3+4*x^2-28*x-16,0,2*x^5+2*x^4-18*x^3+44*x-24,0,4*x^4+4*x^3-24*x^2-8*x,0,5*x^5+7*x^4-61*x^3-42*x^2+184*x,0,-8*x^3-24*x^2+52*x+64,0,6*x^5+14*x^4-46*x^3-76*x^2+68*x+16,0,2*x^5-2*x^4-38*x^3+8*x^2+140*x+16,0,3*x^5+13*x^4-19*x^3-82*x^2+40*x+92,0,2*x^5+2*x^4-30*x^3-36*x^2+92*x+96,0,-4*x^5-8*x^4+32*x^3+32*x^2-56*x+24,0,4*x^5+4*x^4-52*x^3-20*x^2+160*x-16,0,-2*x^5-2*x^4+26*x^3+4*x^2-68*x-16,0,6*x^5+6*x^4-78*x^3-60*x^2+224*x+144,0,-2*x^5-2*x^4+30*x^3+20*x^2-96*x-40,0,4*x,0,-4*x^5-8*x^4+36*x^3+40*x^2-52*x,0,2*x^5+6*x^4-14*x^3-24*x^2+12*x-80,0,4*x^5+8*x^4-48*x^3-48*x^2+136*x+32,0,-5*x^5-13*x^4+51*x^3+108*x^2-116*x-128,0,6*x^5+10*x^4-78*x^3-92*x^2+240*x+200,0,4*x^5+12*x^4-24*x^3-76*x^2+28*x+48,0,3*x^5+13*x^4-23*x^3-94*x^2+60*x+104,0,-2*x^5-6*x^4+10*x^3+28*x^2,0,2*x^5+2*x^4-26*x^3-20*x^2+76*x+48,0,-4*x^5-8*x^4+40*x^3+60*x^2-84*x-112,0,5*x^5+15*x^4-29*x^3-86*x^2-4*x+64,0,-x^5-5*x^4+3*x^3+36*x^2+8*x-80,0,4*x^4+8*x^3-40*x^2-68*x+48,0,4*x^4+8*x^3-16*x^2-28*x-48,0,-4*x^4-8*x^3+20*x^2+64*x,0,4*x^4+16*x^3-16*x^2-100*x-16,0,2*x^5+2*x^4-22*x^3-12*x^2+52*x+16,0,-12*x^2+12*x+16,0,8*x^5+20*x^4-80*x^3-152*x^2+172*x+224,0,3*x^5+11*x^4-21*x^3-68*x^2+64*x+48,0,-x^5-7*x^4+x^3+50*x^2+16*x-84,0,x^5+x^4-7*x^3+4*x^2+16*x-32,0,-9*x^5-23*x^4+77*x^3+146*x^2-164*x-152,0,-4*x^5-8*x^4+52*x^3+64*x^2-164*x-80,0,4*x^3+4*x^2-28*x-8,0,8*x^5+12*x^4-76*x^3-52*x^2+152*x-32,0,-2*x^5+2*x^4+22*x^3-16*x^2-28*x+16,0,4*x^5+16*x^4-20*x^3-104*x^2+4*x+112,0,7*x^5+9*x^4-75*x^3-58*x^2+164*x+56,0,4*x^5-48*x^3+108*x,0,-10*x^5-14*x^4+126*x^3+104*x^2-396*x-152,0,-6*x^5-14*x^4+54*x^3+92*x^2-148*x-176,0,4*x^5+12*x^4-24*x^3-48*x^2+16*x,0,-8*x^5-16*x^4+68*x^3+76*x^2-116*x-16,0,-11*x^5-25*x^4+107*x^3+170*x^2-268*x-208,0,-8*x^5-20*x^4+60*x^3+100*x^2-64*x,0,-4*x^5-8*x^4+48*x^3+80*x^2-120*x-152,0,2*x^5+6*x^4-18*x^3-48*x^2+68*x+48,0,-4*x^5-8*x^4+40*x^3+64*x^2-84*x-120,0,-6*x^5-18*x^4+50*x^3+128*x^2-92*x-144,0,-2*x^5-2*x^4+30*x^3+24*x^2-112*x-48,0,-4*x^5-4*x^4+28*x^3+8*x^2-32*x-32,0,-4*x^4-4*x^3+36*x^2-8*x-40,0,4*x^5+12*x^4-24*x^3-68*x^2+36*x+16,0,-2*x^5-2*x^4+34*x^3+12*x^2-100*x-16,0,-8*x^5-12*x^4+100*x^3+100*x^2-320*x-224,0,4*x^5+8*x^4-36*x^3-60*x^2+36*x+104,0,-4*x^3+12*x,0,6*x^5+6*x^4-66*x^3-24*x^2+192*x+40,0,4*x^5-64*x^3-20*x^2+196*x+96,0,-12*x^4-36*x^3+60*x^2+184*x+32,0,5*x^5+9*x^4-47*x^3-52*x^2+92*x+80,0,-4*x^4-20*x^3-4*x^2+96*x+140,0,-4*x^5+48*x^3-136*x-64,0,8*x^5+12*x^4-92*x^3-84*x^2+232*x+120,0,9*x^5+17*x^4-87*x^3-116*x^2+184*x+160,0,-8*x^5-16*x^4+72*x^3+104*x^2-152*x-96,0,-x^5-x^4-x^3-36*x^2+16*x+160,0,6*x^5+10*x^4-66*x^3-64*x^2+164*x+80,0,8*x^5+8*x^4-96*x^3-60*x^2+224*x+96,0,-x^5-3*x^4+9*x^3+22*x^2-20*x-24,0,-3*x^5-3*x^4+37*x^3+28*x^2-96*x-96,0,-4*x^5-16*x^4+16*x^3+92*x^2+8*x-32,0,x^5+5*x^4-11*x^3-44*x^2+40*x+144,0,8*x^4+16*x^3-32*x^2-40*x-56,0,-7*x^5-15*x^4+73*x^3+124*x^2-200*x-192,0,-8*x^5-12*x^4+92*x^3+92*x^2-240*x-136,0,4*x^4+24*x^3+8*x^2-132*x-144,0,-4*x^5-4*x^4+40*x^3-88*x-32,0,-4*x^5-16*x^4+16*x^3+116*x^2+56*x-128,0,2*x^5+10*x^4-14*x^3-96*x^2-8*x+168,0,4*x^5+16*x^4-20*x^3-96*x^2+12*x+16,0,-8*x^5-20*x^4+92*x^3+156*x^2-288*x-192,0,-5*x^5-13*x^4+55*x^3+104*x^2-156*x-112,0,-2*x^5+6*x^4+26*x^3-32*x^2-44*x+8,0,x^5+5*x^4-11*x^3-64*x^2+32*x+192,0,4*x^4+12*x^3-20*x^2-40*x-24,0,4*x^4+28*x^3+16*x^2-156*x-80,0,-2*x^5-6*x^4+14*x^3+32*x^2-20*x-16,0,11*x^5+23*x^4-125*x^3-176*x^2+352*x+224,0,10*x^5+18*x^4-106*x^3-124*x^2+260*x+144,0,-2*x^5+6*x^4+42*x^3-28*x^2-140*x-64,0,-2*x^5+2*x^4+30*x^3-8*x^2-84*x-24,0,-4*x^5-4*x^4+28*x^3+16*x^2-40*x+32,0,-11*x^5-21*x^4+111*x^3+154*x^2-260*x-232,0,-12*x^5-36*x^4+104*x^3+260*x^2-212*x-304,0,4*x^5+8*x^4-48*x^3-76*x^2+168*x+96,0,-8*x^4-12*x^3+64*x^2+36*x-64,0,-4*x^3-4*x^2+64*x+52,0,4*x^5+4*x^4-48*x^3-20*x^2+128*x+48,0,3*x^5+5*x^4-27*x^3-42*x^2+40*x+112,0,-10*x^5-22*x^4+90*x^3+116*x^2-184*x-64,0,5*x^5+11*x^4-37*x^3-58*x^2+56*x+72,0,6*x^5+10*x^4-66*x^3-60*x^2+168*x+64,0,-16*x^3-32*x^2+76*x+72,0,4*x^5-4*x^4-64*x^3+12*x^2+196*x+80,0,6*x^5+22*x^4-38*x^3-156*x^2+44*x+192,0,4*x^5+8*x^4-36*x^3-68*x^2+28*x+160,0,4*x^5-48*x^3+4*x^2+80*x,0,-7*x^5-7*x^4+89*x^3+56*x^2-248*x-144,0,11*x^5+17*x^4-123*x^3-98*x^2+348*x+16,0,4*x^5+4*x^4-40*x^3-28*x^2+84*x+48,0,4*x^5+12*x^4-28*x^3-76*x^2+56*x+120,0,14*x^5+34*x^4-138*x^3-248*x^2+348*x+336,0,4*x^5+8*x^4-16*x^3-20*x^2-40*x-32,0,7*x^5+15*x^4-77*x^3-128*x^2+196*x+304,0,2*x^5+2*x^4-18*x^3+8*x^2+44*x-24,0,-4*x^5-12*x^4+36*x^3+76*x^2-96*x-64,0,-2*x^5-10*x^4-10*x^3+40*x^2+128*x+8,0,-4*x^4-8*x^3+16*x^2+28*x+16,0,-x^5+x^4+29*x^3+10*x^2-116*x-152,0,2*x^5+10*x^4+14*x^3-36*x^2-116*x-16,0,4*x^4+4*x^3-28*x^2-48*x-24,0,-4*x^4+20*x^2+12*x+16,0,x^5-x^4-5*x^3+6*x^2-28*x+48,0,-8*x^5-8*x^4+104*x^3+80*x^2-304*x-224,0,-2*x^5-10*x^4+2*x^3+52*x^2-4*x-16,0,4*x^4+16*x^3-8*x^2-52*x-48,0,2*x^5+14*x^4+2*x^3-100*x^2-44*x+40,0,-4*x^5-8*x^4+40*x^3+76*x^2-120*x-128,0,10*x^5+14*x^4-138*x^3-140*x^2+464*x+376,0,x^5+x^4-11*x^3-4*x^2+28*x,0,6*x^5+10*x^4-50*x^3-48*x^2+132*x+80,0,2*x^5-2*x^4-42*x^3-20*x^2+144*x+192,0,-6*x^5-14*x^4+58*x^3+96*x^2-168*x-152,0,-12*x^4-36*x^3+60*x^2+184*x+96,0,-8*x^5-12*x^4+108*x^3+128*x^2-324*x-272,0,2*x^5+10*x^4-18*x^3-68*x^2+76*x+48,0,5*x^5+7*x^4-61*x^3-54*x^2+164*x+68,0,4*x^5+20*x^4-8*x^3-108*x^2-48*x+48,0,-8*x^5-20*x^4+84*x^3+172*x^2-248*x-304,0,-8*x^5-12*x^4+80*x^3+48*x^2-164*x-48,0,-x^5+x^4-7*x^3-50*x^2+84*x+184,0,-x^5-x^4+7*x^3+4*x^2+32*x+64,0,-2*x^5+2*x^4+22*x^3-20*x^2-60*x-48,0,17*x^5+33*x^4-175*x^3-244*x^2+432*x+384,0,-10*x^5-18*x^4+98*x^3+108*x^2-196*x-104,0,8*x^5+24*x^4-72*x^3-152*x^2+144*x+128,0,4*x^5+4*x^4-52*x^3-24*x^2+144*x-8,0,-4*x^5-4*x^4+52*x^3+32*x^2-112*x-64,0,4*x^4+4*x^3-28*x^2-16*x,0,7*x^5+19*x^4-73*x^3-140*x^2+228*x+240,0,9*x^5+19*x^4-97*x^3-150*x^2+260*x+240,0,-4*x^5+52*x^3+12*x^2-128*x-32,0,-6*x^5-14*x^4+46*x^3+76*x^2-68*x-16,0,-12*x^5-32*x^4+104*x^3+232*x^2-176*x-240,0,4*x^5+4*x^4-36*x^3-20*x^2+72*x+24,0,2*x^5+2*x^4-38*x^3-56*x^2+144*x+192,0,8*x^4+44*x^3-12*x^2-172*x-96,0,-8*x^5-16*x^4+88*x^3+104*x^2-260*x-80,0,2*x^5+6*x^4-2*x^3+4*x^2-72*x-176,0,-14*x^5-22*x^4+142*x^3+140*x^2-340*x-240,0,-8*x^4-24*x^3+52*x^2+64*x,0,2*x^5+2*x^4-10*x^3-52*x-64,0,-4*x^4-36*x^3-36*x^2+216*x+272,0,-x^5-x^4+11*x^3+32*x^2-20*x-144,0,6*x^5+2*x^4-70*x^3+12*x^2+188*x-80,0,9*x^5+25*x^4-75*x^3-168*x^2+164*x+208,0]]; E[976,7] = [x^4+x^3-7*x^2-4*x+8, 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E[976,8] = [x, 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E[976,9] = [x, 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E[976,10] = [x, 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E[976,11] = [x^2-2*x-1, 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