Sharedwww / Tables / an_s2g0new_1001-1100_hiprec.gpOpen in CoCalc
\\ an_s2g0new_1001-1100_hiprec.gp
\\ This is a PARI readable nonnormalized basis for S_2(Gamma_0(N)) for N 
\\ in the range:  1001 <= N <= 1100.
\\ The number of a_n computed is always at least 500.
\\ William Stein ([email protected])

E[1001,1] = [x, [1,-2,-3,2,-3,6,-1,0,6,6,1,-6,-1,2,9,-4,-8,-12,-4,-6,3,-2,-9,0,4,2,-9,-2,-8,-18,3,8,-3,16,3,12,-7,8,3,0,0,-6,2,2,-18,18,-8,12,1,-8,24,-2,6,18,-3,0,12,16,-7,18,-4,-6,-6,-8,3,6,-9,-16,27,-6,-5,0,-10,14,-12,-8,-1,-6,12,12,9,0,-6,6,24,-4,24,0,-9,36,1,-18,-9,16,12,-24,1,-2,6,8,-8,-48,8,0,-9,-12,8,-18,-14,6,21,4,9,-24,27,-16,-6,14,8,0,1,8,0,6,3,12,14,0,-6,-6,-10,-6,4,18,27,0,-17,-54,6,6,24,10,-1,-24,24,20,-3,-14,-6,24,12,0,-48,2,-9,6,7,-24,-18,-24,9,-18,-4,0,9,12,14,0,1,-48,-24,4,-14,-48,-4,-4,21,18,5,-36,-19,-2,12,0,21,18,-8,-16,9,-24,25,24,10,-2,-9,2,-22,-12,28,0,27,16,8,48,0,-16,-54,4,-4,18,-26,12,15,-16,-6,0,-3,28,30,-6,8,-42,-9,-8,24,-18,-22,24,-1,-54,3,0,-6,12,24,-14,-36,-16,-4,-36,10,-2,0,-8,-3,0,4,0,18,-6,-5,-12,-9,-28,-72,16,-2,12,7,6,-48,20,-6,0,-18,-8,27,-18,6,-54,8,32,-3,34,4,54,-32,-12,18,0,0,-48,-2,-10,-36,2,0,48,47,-48,-3,-20,32,6,21,0,-9,12,9,-24,-2,-24,24,16,12,96,12,-2,-24,18,24,0,-23,-14,18,24,3,36,-8,24,-24,-18,32,18,-4,8,42,0,8,-18,1,-12,-42,-28,27,-12,-4,-2,-27,48,3,48,-1,0,-81,28,4,48,-16,8,9,8,11,-42,15,-18,-24,-10,-10,0,-3,38,-3,2,30,-24,-7,36,0,-42,-6,-18,12,16,-9,0,8,-18,-27,24,-42,-50,27,0,3,-20,12,2,21,18,72,0,30,44,-36,12,-10,-56,-12,-16,34,-54,-3,-16,-27,-16,-7,0,-22,0,51,16,7,108,18,-8,-18,8,-4,-18,-30,52,-48,0,-32,-30,4,16,3,12,-30,36,-9,6,-72,-28,36,-60,-28,0,6,-16,-11,42,27,18,18,8,-3,-48,0,18,-36,44,-3,0,-36,2,72,54,8,-6,7,32,27,12,11,-12,9,-48,-21,0,2,72,-16,16,36,8,4,72,7,-20,-27,2,-3,0,1,0,12,6,-30,0,64,-8,-18,-12,5,-36,-4,6]];
E[1001,2] = [x, [1,-1,0,-1,-2,0,-1,3,-3,2,1,0,-1,1,0,-1,-2,3,-4,2,0,-1,0,0,-1,1,0,1,6,0,-4,-5,0,2,2,3,6,4,0,-6,6,0,12,-1,6,0,4,0,1,1,0,1,-10,0,-2,-3,0,-6,0,0,10,4,3,7,2,0,12,2,0,-2,0,-9,14,-6,0,4,-1,0,0,2,9,-6,-4,0,4,-12,0,3,-14,-6,1,0,0,-4,8,0,-14,-1,-3,1,10,0,4,-3,0,10,-12,0,-2,2,0,1,18,0,0,-6,3,0,2,0,1,-10,0,4,12,-3,-8,3,0,-2,-12,0,4,-12,0,-6,10,0,4,-2,0,0,-1,3,-12,-14,0,-6,-2,0,0,-12,6,1,8,0,14,0,0,10,0,-9,12,-6,0,4,-8,0,1,-4,12,-12,2,0,1,-1,0,14,4,-6,-2,-1,0,0,-12,0,-2,-4,0,-8,0,0,-22,14,0,-1,-18,3,20,-3,0,-10,-6,0,-12,-4,0,1,-4,0,28,10,0,12,-24,0,4,2,0,2,2,0,4,5,3,-18,-28,0,-10,0,0,18,18,-3,-8,0,0,-2,0,0,-18,-1,0,-10,-2,0,4,-12,0,-12,0,-3,0,8,0,-17,2,0,-6,-2,-18,12,-16,0,20,-4,0,-12,-10,0,8,2,0,-10,-1,0,22,-4,12,6,-6,0,28,0,0,1,-6,15,-13,12,0,-14,-30,0,0,18,0,2,0,0,-12,0,0,4,-20,-6,-28,1,0,-8,20,0,-6,-14,-6,0,-18,0,6,-14,0,0,8,-9,1,-12,0,18,-4,0,28,4,-18,8,-24,0,10,-1,0,-4,-4,-12,-1,36,0,-2,-4,0,-6,-1,0,-5,-6,0,0,14,0,-4,16,18,-3,2,0,-1,-28,0,28,0,-18,12,10,0,22,2,0,12,-6,0,4,-8,0,0,28,0,2,22,-36,14,6,0,0,3,0,18,0,3,-10,-20,0,1,34,0,4,-10,-18,6,6,0,-2,12,0,-4,0,0,8,5,0,4,32,0,22,-28,-12,-30,2,0,-10,12,0,24,24,0,26,-4,0,2,0,0,0,-6,-3,-2,-36,0,28,-4,0,-7,18,-3,6,-18,0,28,-2,0,2,10,0,0,-22,0,24,-6,0,-18,-8,-3,-12,8,0,0,12,0,4,-2,30,0,24,0,-6,18,0,-1,28,0,32,30,0,2,28,0,-12,-4,6,4,0,0,-4,-12]];
E[1001,3] = [x^2-5, [2,2*x,x+3,6,-x+3,3*x+5,2,2*x,3*x+1,3*x-5,-2,3*x+9,-2,2*x,2,-2,-5*x-3,x+15,-3*x+9,-3*x+9,x+3,-2*x,-2*x-6,3*x+5,-3*x-3,-2*x,2*x,6,-2*x+6,2*x,4,-6*x,-x-3,-3*x-25,-x+3,9*x+3,8,9*x-15,-x-3,3*x-5,8*x,3*x+5,3*x+17,-6,4*x-6,-6*x-10,2*x-18,-x-3,2,-3*x-15,-9*x-17,-6,-x+9,10,x-3,2*x,6,6*x-10,2*x+18,6,3*x+21,4*x,3*x+1,-26,x-3,-3*x-5,-3*x+3,-15*x-9,-6*x-14,3*x-5,x-3,x+15,8,8*x,-6*x-12,-9*x+27,-2,-3*x-5,3*x+11,x-3,-6*x+2,40,-3*x-15,3*x+9,-6*x+8,17*x+15,4,-2*x,5*x-9,-6*x+20,-2,-6*x-18,2*x+6,-18*x+10,-9*x+21,-9*x-15,4,2*x,-3*x-1,-9*x-9,-3*x+21,-17*x-45,-12*x-4,-2*x,2,9*x-5,-x+21,6*x,-3*x-7,-3*x+5,4*x+12,-2,-x-33,6*x,-4,-6*x+18,-3*x-1,18*x+10,-5*x-3,2*x,2,21*x+15,12*x+20,12,2*x-12,x+15,-3*x-11,-14*x,13*x+33,-3*x+5,10*x+6,-3*x-9,-3*x+9,3*x-15,3*x-5,-3*x-25,-8*x-24,-14*x-30,16,-3*x+9,-6*x-22,-3*x+5,2,-3*x-1,-6*x+14,8*x,x+3,24,-9*x+3,-12*x-30,-12*x+8,9*x-15,-7*x-39,-2*x,-2*x+6,-3*x-9,12*x+20,11*x+15,3*x+11,-9*x+15,-2*x-6,2*x-30,-15*x-3,24*x,-2,-15*x-15,-5*x-27,3*x+5,2,8*x-30,12*x-18,9*x+51,9*x+9,4*x,-3*x-3,2,12*x+32,-9*x+25,-6*x+30,12*x-18,24,-2*x,15*x+39,-6*x-10,-4*x+12,6*x+10,5*x+3,6*x-54,2*x,21*x-45,-8*x,-13*x-39,-3*x-33,4*x,-2,6,11*x-15,-x-15,9*x+17,-3*x-15,-3*x-3,21*x-15,-2*x+6,-27*x-51,12*x-20,-4*x-60,-10*x-18,2,3*x-9,2*x,9*x-13,-3*x+27,-2,21*x-5,-4*x+18,10,4,-7*x-15,4*x+12,3*x-9,5*x+3,12*x+20,12*x-20,-6*x,-6*x-24,-33*x-5,-x-15,18,-3*x-7,-4*x,-x-3,6*x-10,2*x+18,-x-15,12*x-32,6*x+54,10*x+24,-3*x-25,24*x,-2,20,2*x,-14*x-12,9*x+63,-x+3,20*x+60,3*x-9,4*x,-12*x-30,-12*x+10,-13*x+27,9*x+3,2*x+6,-11*x-15,-5*x-3,-18,8*x-24,33*x+65,8,3*x-9,8*x-12,6*x+50,3*x-21,-3*x-5,-6*x+16,9*x-15,3*x-1,-9*x+9,10*x-30,-5*x+15,-9*x+1,5*x+3,-x-3,-24*x-40,3*x+3,-18*x-42,-28,16*x,6*x+2,3*x-5,-19*x-9,-22*x-30,-12*x,3*x-9,-3*x+9,2*x,8*x,-3*x-45,15*x+33,14*x-30,2*x+6,24,22*x+18,3*x+5,-6*x+22,8*x,-2*x,3*x-45,2*x+6,-18*x-36,3*x+17,8*x-60,6*x+24,3*x-9,-6*x+24,-39*x-35,-9*x-15,-6,-20*x-36,6*x-10,5*x+21,-3*x-5,18*x-14,20*x+60,4*x-6,9*x+33,10*x-42,11*x+15,2*x-6,13*x-39,9*x+29,-6*x-10,-18*x+24,-18*x+6,3*x+3,-3*x-75,-8*x-18,40,2*x-18,-2*x,-9*x+3,-9*x-45,12*x+4,-27*x-25,-6*x+12,-x-3,12*x,2*x,-18*x-52,-18*x+24,-4,-18*x+60,2,17*x+15,-2*x-6,9*x+45,-25*x-9,12,6*x+22,-3*x-15,-2*x,6*x,-60,32*x+60,3*x-7,15*x-27,-9*x-17,30*x-30,-16*x+24,-6*x+20,-27*x+25,24*x,x+3,-6,-4*x+12,39*x+75,-27*x-9,2*x+6,4*x+60,12*x-20,-x+9,6*x+18,12,3*x+25,-3*x-13,-18*x+10,2*x-6,10,15*x-7,-27*x+63,-10*x-24,-40,12,-21*x-35,x-3,-33*x-15,27*x+31,12,13*x-27,-2*x,18*x+34,2*x,18*x+34,-15*x+55,-x+9,-9*x-3,-15*x-21,17*x+45,6,3*x+3,-4*x+24,-3*x-15,-4,-9*x+63,-10*x+18,6*x-10,-8,-17*x-45,6*x-26,-20*x+60,-24*x-56,-36*x-12,2*x+18,-18*x-50,3*x-15,6*x,8*x+24,-9*x+15,-13*x+9,6,-6*x+6,-13*x+45,-26*x+6,9*x-5,12*x+42,-2*x,3*x+21,-3*x+63,x+3,18*x-20,16*x,-2*x,6*x-34,4*x,-2*x+6,-9*x-21,-12,12*x+20,18*x+2,-3*x+5,3*x+1,3*x+25,26*x-6,12*x+36,12*x-26,-20*x+60,-12*x-18,-26,-2*x-18,-24*x-30,-8*x,-3*x-99,-14*x-18,-15*x-5,x-3,6*x,3*x-17,-7*x-15,-3*x-25,-12,-4*x,-3*x-5,12*x+12,2*x-6,4,18*x+10,-x+69,-9*x-3,-3*x+3,-32*x+60,28*x+60,18*x+10,-3*x-17,24*x+50,-9*x+9,-15*x-9,13*x-3,120,33*x-3,-6*x,-8,20*x,-6*x-14,6,-2*x+6,-12*x-70,-80,21*x+15,-24*x-42,3*x-5,-20*x-36,36*x+60,-12*x+16,-9*x+15,-4*x+6,-4,x-3,-30*x-60,15*x+11,6*x-36]];
E[1001,4] = [x^4+2*x^3-6*x^2-13*x-5, [1,x,-x^3-x^2+7*x+6,x^2-2,x^3+x^2-6*x-7,x^3+x^2-7*x-5,1,x^3-4*x,x^3-7*x-2,-x^3+6*x+5,-1,x^3+x^2-6*x-7,-1,x,x^3+2*x^2-7*x-12,-2*x^3+13*x+9,-x^3-x^2+8*x+9,-2*x^3-x^2+11*x+5,x^3-6*x-3,-2*x^2+4*x+9,-x^3-x^2+7*x+6,-x,-x^3-2*x^2+8*x+13,-3*x^3-2*x^2+20*x+15,-3*x^3-3*x^2+19*x+19,-x,-x^3+6*x,x^2-2,-x^3+5*x-1,-x^2+x+5,-2*x^3-2*x^2+12*x+15,2*x^3+x^2-9*x-10,x^3+x^2-7*x-6,x^3+2*x^2-4*x-5,x^3+x^2-6*x-7,x^3-x^2-7*x-6,-x^2+2*x+1,-2*x^3+10*x+5,x^3+x^2-7*x-6,4*x^2-3*x-10,x+1,x^3+x^2-7*x-5,-x^3-2*x^2+5*x+8,-x^2+2,x^3+2*x^2-9*x-11,2*x^2-5,-x^3-2*x^2+8*x+15,2*x^3-12*x-1,1,3*x^3+x^2-20*x-15,-x^3-2*x^2+7*x+14,-x^2+2,-2*x^3-3*x^2+15*x+14,2*x^3-13*x-5,-x^3-x^2+6*x+7,x^3-4*x,-2*x^3-x^2+13*x+7,2*x^3-x^2-14*x-5,3*x^3+2*x^2-19*x-14,-3*x^3-3*x^2+19*x+24,-x^2-4*x+10,2*x^3-11*x-10,x^3-7*x-2,x^3+3*x^2-10*x-8,-x^3-x^2+6*x+7,-x^3-x^2+7*x+5,2*x^3-14*x-5,2*x^3+4*x^2-8*x-13,-4*x^3-5*x^2+27*x+33,-x^3+6*x+5,4*x^3+4*x^2-28*x-26,x^3+x^2-15*x-5,-2*x^3-x^2+12*x+12,-x^3+2*x^2+x,-3*x^2+19,2*x^3-2*x^2-9*x-4,-1,-x^3-x^2+7*x+5,-x^3-x^2+8*x+10,4*x^3+x^2-18*x-18,2*x^3+4*x^2-13*x-19,x^2+x,2*x^3+3*x^2-14*x-18,x^3+x^2-6*x-7,3*x^3+5*x^2-19*x-28,-x^2-5*x-5,5*x^3+4*x^2-34*x-26,-x^3+4*x,5*x^3+6*x^2-38*x-33,-3*x^2+2*x+5,-1,4*x^3+4*x^2-21*x-26,-3*x^3-5*x^2+21*x+30,2*x^2+2*x-5,-x^3+x^2+3*x+1,2*x^3+4*x^2-15*x-20,-2*x^3-2*x^2+15*x+14,x,-x^3+7*x+2,x^3+4*x^2-14*x-23,-4*x^3-5*x^2+30*x+28,x^2+x-5,x^3+x^2-6*x+6,-x^3+4*x,x^3+2*x^2-7*x-12,x^3+3*x^2-12*x-10,-6*x^3-2*x^2+39*x+21,-2*x^3-x^2+9*x+10,2*x^3+2*x^2-18*x-15,x^3-6*x-5,2*x^3+2*x^2-15*x-9,-2*x^3+13*x+9,-x^3+3*x^2+4*x-13,3*x^3+x^2-19*x-10,5*x^3+9*x^2-35*x-51,-3*x^3-2*x^2+11*x+12,-x^3+7*x+2,-4*x^3-x^2+25*x+15,-x^3-x^2+8*x+9,3*x^3+3*x^2-17*x-25,1,-x^3-4*x^2+10*x,1,5*x^2-8*x-20,x^3+2*x^2-9*x-18,-2*x^3-x^2+11*x+5,x^3-3*x^2-3*x+12,-3*x^3-6*x^2+23*x+25,-2*x^3-3*x^2+13*x+18,x^3-6*x-5,2*x^2-5*x-11,-x^3-x^2+6*x+7,x^3-6*x-3,-4*x^3-2*x^2+21*x+10,-2*x^3-4*x^2+15*x+20,-2*x^3+21*x+20,x^3-4*x+12,3*x^3+3*x^2-19*x-20,6*x^3+7*x^2-40*x-31,-2*x^2+4*x+9,-6*x^3-7*x^2+41*x+45,-4*x^3-4*x^2+26*x+20,1,-3*x^3-7*x^2+22*x+17,-2*x^3-5*x^2+15*x+22,3*x^3-14*x-10,-x^3-x^2+7*x+6,4*x^3-3*x^2-17*x-7,5*x^3+6*x^2-36*x-41,-3*x^3+19*x,-3*x^3-3*x^2+17*x+20,-2*x^3+3*x^2+2*x,-3*x^3-4*x^2+17*x+17,-x,7*x^3+7*x^2-44*x-55,-x^3-x^2+6*x+7,-3*x^3-5*x^2+23*x+27,x^3+2*x^2-3*x-5,2*x^3-15*x+4,-7*x^3-2*x^2+40*x+40,-x^3-2*x^2+8*x+13,-x^2+7*x+10,5*x^3+5*x^2-29*x-35,x^3+x^2-2*x-2,-x^3-2*x^2+7*x+12,-x^3-2*x^2+8*x+10,3*x^3+5*x^2-21*x-19,-3*x^3-2*x^2+20*x+15,1,-x^3-x^2+11*x+15,2*x^3+3*x^2-16*x-9,x^3-x^2-15*x-16,-4*x^3-3*x^2+23*x+20,-6*x^3-4*x^2+39*x+25,-3*x^3-3*x^2+19*x+19,2*x^3-13*x-9,-4*x^3-x^2+27*x+6,-4*x^3-8*x^2+32*x+25,-x^2-x-10,-5*x^3-2*x^2+23*x+22,x^3+4*x^2-4*x-12,-x,-13*x^3-13*x^2+90*x+75,-4*x^3-x^2+26*x+30,-3*x^3+x^2+14*x+8,x^3+3*x^2-9*x-15,x^3+x^2-8*x-9,4*x^3+6*x^2-21*x-30,-x^3+6*x,3*x^3-3*x^2-12*x-5,4*x^3+x^2-28*x-22,-4*x^3-3*x^2+30*x+12,x^3-4*x^2-9*x+19,2*x^3+3*x^2-12*x-10,-x^3-2*x^2+7*x+12,x^2-2,-7*x^3-5*x^2+48*x+48,2*x^3+x^2-11*x-5,5*x^3+4*x^2-39*x-31,-4*x^3-10*x^2+30*x+35,-7*x^3-5*x^2+47*x+30,3*x^3+6*x^2-24*x-20,-x^3+5*x-1,3*x^3+5*x^2-19*x-28,x^2-2,-x^3+19*x+5,-2*x^3-3*x^2+10*x+19,2*x^3-13*x-9,-x^3+6*x+3,-x^2+x+5,5*x^3+6*x^2-34*x-21,5*x^3-27*x-23,-2*x^3+2*x^2+14*x-16,10*x^3+3*x^2-57*x-30,3*x^3+4*x^2-23*x-31,-x^3-3*x^2+10*x,-2*x^3-2*x^2+12*x+15,-2*x^3-6*x^2+11*x+10,-x^3-3*x^2+8*x+17,2*x^2-4*x-9,x^3+x^2-8*x-9,-2*x^3-3*x^2+17*x+10,6*x^3+5*x^2-31*x-29,2*x^3+x^2-9*x-10,-7*x^3-7*x^2+52*x+42,5*x^3-2*x^2-26*x-5,3*x^2+5*x-17,-x^3+x^2+3*x+1,x^3-4*x^2-9*x+10,-x^3-5*x^2+14*x+25,x^3+x^2-7*x-6,-5*x^2+x-5,-5*x^2+3*x+26,2*x^3+x^2-11*x-5,7*x^3+11*x^2-47*x-65,x^3-3*x^2+x+8,-2*x^3-3*x^2+14*x+20,x^3+2*x^2-4*x-5,3*x^3+4*x^2-20*x-7,3*x^3+7*x^2-24*x-33,-2*x^2-2*x+17,x,7*x^3+6*x^2-44*x-39,-2*x^3+6*x^2-5*x-25,x^3+x^2-6*x-7,x,-x^3+6*x+3,x^3-8*x^2+2*x+20,3*x^3+5*x^2-20*x-33,-3*x^2-5*x+5,-4*x^3-4*x^2+22*x+16,x^3-x^2-7*x-6,x^3+2*x^2-8*x-13,-5*x^3+3*x^2+25*x+5,7*x^3+10*x^2-47*x-63,-2*x^3-x^2+6*x+1,-x^3-3*x^2+6*x+4,x^3+x^2-8*x-10,-x^2+2*x+1,2*x^2-4*x-9,-4*x^3-2*x^2+33*x+12,2*x^3-5*x^2-11*x,-2*x^3-4*x^2+16*x+30,3*x^3+2*x^2-20*x-15,x^3+6*x^2-12*x-28,-2*x^3+10*x+5,-6*x^3-x^2+43*x-3,2*x^3-3*x^2-14*x-10,2*x^3-x^2-20*x-5,3*x^2-6*x-10,2*x^3+2*x^2-17*x-16,x^2+10*x+16,x^3+x^2-7*x-6,-2*x^3+2*x^2+25*x+5,3*x^3+3*x^2-19*x-19,5*x^3+9*x^2-35*x-51,3*x^3+3*x^2-18*x-17,-5*x^3-4*x^2+47*x+30,-x^3-4*x^2+11*x+20,4*x^2-3*x-10,6*x^3+5*x^2-40*x-33,5*x^3+5*x^2-33*x-30,2*x^3+2*x^2-11*x-8,-4*x^3-6*x^2+24*x+32,-x^2+2*x+1,x,x+1,-3*x^3+2*x^2+8*x-5,-3*x^3-3*x^2+27*x+19,-x^3+3*x^2-4*x-10,x^3-x^2-7*x+9,-2*x^3+6*x^2+5*x-9,-6*x^3-10*x^2+42*x+55,x^3+x^2-7*x-5,-3*x^3-2*x^2+17*x+23,-9*x^3+3*x^2+43*x+20,x^3-6*x,-4*x^3-6*x^2+24*x+25,x^3+2*x^2-8*x-13,6*x^3+7*x^2-39*x-53,-x^3-2*x^2+5*x+8,3*x^3-x^2-19*x-15,3*x^3-x^2-22*x+13,3*x^3-6*x^2-8*x-2,12*x^3+10*x^2-76*x-85,2*x^3-x^2-22*x-15,x^2+5*x+10,-x^2+2,-12*x^3-11*x^2+84*x+66,-7*x^3-2*x^2+36*x+35,8*x^3+10*x^2-54*x-45,3*x^3+2*x^2-20*x-15,5*x^3+5*x^2-30*x-9,x^3+5*x^2-12*x-15,x^3+2*x^2-9*x-11,2*x^3+5*x^2-8*x-15,-3*x^3+5*x^2+22*x-21,-4*x^3-3*x^2+30*x+10,x^3-5*x+1,4*x^3-4*x^2-15*x+1,14*x^3+8*x^2-94*x-49,2*x^2-5,-x^3-x^2+5*x+3,-5*x^3-x^2+36*x+38,3*x^3+3*x^2-19*x-19,-5*x^3+x^2+30*x+25,-3*x^3-x^2+21*x,-x^3+2*x^2+9*x+5,-x^3-2*x^2+8*x+15,x^2-x-5,-5*x^3+34*x+19,-4*x^3-4*x^2+25*x+31,-6*x^3-x^2+36*x+18,-x^3-3*x^2+20*x+15,x^3+3*x^2-12*x-15,2*x^3-12*x-1,9*x^3+9*x^2-50*x-56,x,13*x^3+12*x^2-87*x-78,-5*x^3-5*x^2+40*x+51,2*x^3+2*x^2-12*x-15,-x^3-4*x^2+17*x+10,1,-3*x^3-7*x^2+7*x+15,12*x^3+17*x^2-80*x-111,5*x^3-x^2-32*x-20,-9*x^3-9*x^2+67*x+62,-2*x^3-5*x^2+15*x+22,15*x^3+13*x^2-93*x-80,3*x^3+x^2-20*x-15,x^3-6*x,-2*x^3-x^2+9*x+10,-4*x^3-8*x^2+26*x+52,7*x^3+3*x^2-46*x-20,-6*x^3-10*x^2+40*x+62,-10*x^3-4*x^2+49*x+46,-x^3-2*x^2+7*x+14,-x^3-x^2-10*x,3*x^3+11*x^2-18*x-41,8*x^3-x^2-47*x-35,-x^3+3*x^2-20,2*x^3+2*x^2+x+5,-x^3-x^2+7*x+6,-x^2+2,6*x^3+4*x^2-34*x-39,13*x^3+12*x^2-94*x-65,-8*x^3-6*x^2+57*x+52,-x^3-6*x^2+20*x+32,-x^3-x^2+4*x+3,7*x^3-4*x^2-31*x-15,-2*x^3-3*x^2+15*x+14,7*x^3+7*x^2-44*x-55,4*x^3-x^2-30*x-4,-x^3-2*x^2+4*x+5,8*x^3+9*x^2-55*x-58,-2*x^3-x^2+18*x+30,x^3-5*x+1,2*x^3-13*x-5,2*x^2-9*x-19,-7*x^3+4*x^2+28*x+13,-11*x^3-10*x^2+73*x+67,-7*x^3-4*x^2+30*x+20,-3*x^3+3*x^2+15*x-9,x^3-2*x^2-10*x+20,-x^3-x^2+6*x+7,-6*x^3-3*x^2+32*x+5,-x^3+12*x+14,3*x^3+4*x^2-14*x-18,14*x^3+12*x^2-89*x-87,x^2-x-5,-7*x^3-9*x^2+51*x+67,x^3-4*x,4*x^3+4*x^2-26*x-31,9*x^3+6*x^2-43*x-35,4*x^3+6*x^2-25*x-35,-x^3+x^2+7*x+6,-9*x^3-6*x^2+55*x+32,-6*x^3-9*x^2+34*x+25,-2*x^3-x^2+13*x+7,-4*x^3-2*x^2+11*x+26,3*x^3+4*x^2-17*x-41,9*x^3+5*x^2-61*x-35,2*x^3+2*x^2-12*x-15,8*x^3+4*x^2-41*x-41,-6*x^3-11*x^2+46*x+68,2*x^3-x^2-14*x-5,x^2-2*x-1,-x^3-3*x^2+9*x+25,5*x^3+8*x^2-32*x-46,x^3-2*x,-15*x^3-14*x^2+104*x+87,11*x^2+4*x-17,3*x^3+2*x^2-19*x-14,x^3-2*x^2-7*x-10,-6*x^3-10*x^2+42*x+61,-2*x^3-x^2+9*x+10,-10*x^3-4*x^2+71*x+19,2*x^3-10*x-5,-7*x^3-9*x^2+51*x+64,-3*x^3-3*x^2+19*x+24,-8*x^3-10*x^2+63*x+70,-4*x^3-4*x^2+44*x+25,-3*x^2-4*x+15,-12*x^3-3*x^2+66*x+45,-6*x^3-11*x^2+37*x+61,6*x^3+2*x^2-42*x-10,-x^2-4*x+10,-5*x^3+7*x^2+22*x+8,-x^3-x^2+7*x+6,-2*x^3-5*x^2+8*x+15,-x^3+8*x^2+3*x-33,3*x^3+6*x^2-31*x-25,3*x^3-33*x+1,2*x^3-11*x-10,-4*x^3-6*x^2+25*x+42,-6*x^3-5*x^2+20*x+20,-x^3+x^2+2*x+1,-x^3+2*x^2+4*x-5,-x^3-7*x^2+3*x+36,-4*x^2+3*x+10,x^3-7*x-2,-x^3-2*x^2+4*x+5,9*x^3+14*x^2-64*x-66,-3*x^3+x^2+14*x+8,-3*x^3-13*x^2+27*x+61,-7*x^3+5*x^2+49*x+30,4*x^3+9*x^2-27*x-61,x^3+3*x^2-10*x-8,-5*x^3-5*x^2+31*x+21,7*x^3+10*x^2-49*x-35,-x-1,-10*x^3-2*x^2+52*x+51,-3*x^3-6*x^2+21*x+35,3*x^3+5*x^2-17*x,-x^3-x^2+6*x+7,-3*x^3-5*x^2+26*x+15,7*x^3+4*x^2-38*x-27,-6*x^3-3*x^2+23*x+5,4*x^3+4*x^2-29*x-30,-13*x^3-10*x^2+82*x+97,-8*x^3-9*x^2+48*x+49,-x^3-x^2+7*x+5,-8*x^3-10*x^2+46*x+45,x^3+5*x^2-27*x-24,11*x^3+18*x^2-77*x-110,-5*x^3+3*x^2+26*x,3*x+15,-x^3+x^2+7*x+6,2*x^3-14*x-5,-3*x^3-5*x^2+26*x+35,-2*x^3-5*x^2+12*x+37,3*x^3+9*x^2-29*x-25,x^3+2*x^2-5*x-8,x^3+2*x^2-6*x-10,-x^3-3*x^2+13*x+8,2*x^3+4*x^2-8*x-13,-11*x^3-6*x^2+72*x+47,-2*x^3-2*x^2+32*x+15,-6*x^3-11*x^2+37*x+53,-5*x^3-12*x^2+40*x+65,x^2-2*x-1,-2*x^3-2*x^2+17*x,-4*x^3-5*x^2+27*x+33,x^2-2,3*x^3+6*x^2-20*x-33,-8*x^3-2*x^2+52*x+35,-3*x^3+2*x^2+13*x-9,12*x^3-9*x^2-71*x-10,6*x^3+11*x^2-42*x-65,-x^3+6*x+5,14*x^3+15*x^2-93*x-85,x^2-2,4*x^3+3*x^2-33*x-34,2*x^3-10*x-5,-x^3-2*x^2+9*x+11,-10*x^3-2*x^2+49*x+45,4*x^3+4*x^2-28*x-26,-x^3-2*x^2+6*x+15,-4*x^3-11*x^2+37*x+61,-5*x^3-9*x^2+23*x+36]];
E[1001,5] = [x^4-6*x^2+x+7, [1,x,-x^3-x^2+3*x+2,x^2-2,x^3+x^2-4*x-1,-x^3-3*x^2+3*x+7,-1,x^3-4*x,x^3+2*x^2-3*x-6,x^3+2*x^2-2*x-7,-1,-x^3-x^2+2*x+3,-1,-x,-x^3+3*x-2,-x-3,x^3+x^2-2*x-5,2*x^3+3*x^2-7*x-7,x^3-4*x-1,2*x^2-5,x^3+x^2-3*x-2,-x,-3*x^3-4*x^2+10*x+9,x^3+2*x^2-2*x-7,x^3-x^2-5*x+3,-x,3*x^3+2*x^2-10*x-4,-x^2+2,-x^3-4*x^2+3*x+9,-3*x^2-x+7,-2*x^3-2*x^2+8*x+5,-2*x^3-x^2+5*x,x^3+x^2-3*x-2,x^3+4*x^2-6*x-7,-x^3-x^2+4*x+1,x^3+x^2-3*x-2,-2*x^3-7*x^2+6*x+17,2*x^2-2*x-7,x^3+x^2-3*x-2,-4*x^2-x+14,4*x^3+8*x^2-13*x-23,x^3+3*x^2-3*x-7,x^3+2*x^2-x-6,-x^2+2,-x^3+5*x-1,-4*x^3-8*x^2+12*x+21,-5*x^3-8*x^2+14*x+21,4*x^3+6*x^2-12*x-13,1,-x^3+x^2+2*x-7,x^3-2*x^2-3*x+4,-x^2+2,4*x^3+9*x^2-15*x-22,2*x^3+8*x^2-7*x-21,-x^3-x^2+4*x+1,-x^3+4*x,2*x^3+3*x^2-5*x-9,-4*x^3-3*x^2+10*x+7,-3*x^3+11*x-6,-x^3-x^2+x+4,-4*x^3-5*x^2+14*x+12,-2*x^3-4*x^2+7*x+14,-x^3-2*x^2+3*x+6,-x^3-7*x^2+4*x+20,-x^3-x^2+4*x+1,x^3+3*x^2-3*x-7,6*x^2-2*x-19,2*x^3-2*x^2-4*x+3,2*x^3+3*x^2-5*x-3,-x^3-2*x^2+2*x+7,-4*x^3-4*x^2+12*x+6,-3*x^3-3*x^2+11*x+7,2*x^3+7*x^2-6*x-16,-7*x^3-6*x^2+19*x+14,2*x^3+5*x^2-4*x-15,-2*x^2+x+2,1,x^3+3*x^2-3*x-7,3*x^3+x^2-12*x-10,-4*x^3-5*x^2+14*x+10,-4*x^3-8*x^2+13*x+17,8*x^3+11*x^2-27*x-28,-2*x^3+3*x^2+12*x-10,x^3+x^2-2*x-3,-x^3-x^2+7*x-2,2*x^3+5*x^2-7*x-7,3*x^3+4*x^2-6*x-10,-x^3+4*x,x^3+5,-x^2+7,1,-2*x^3-4*x^2+5*x+10,-x^3-3*x^2+3*x+10,-8*x^3-16*x^2+26*x+35,-x^3-5*x^2+3*x+15,4*x^3+8*x^2-13*x-14,4*x^3+2*x^2-9*x-2,x,-x^3-2*x^2+3*x+6,-x^3-2*x^2+4*x+1,-4*x^3-x^2+16*x+2,-2*x^3+3*x^2+3*x-7,x^3+5*x^2-2*x-20,-x^3+4*x,x^3-3*x+2,9*x^3+9*x^2-26*x-28,-2*x^3-2*x^2+7*x-1,2*x^3+x^2-3*x-6,6*x^3+16*x^2-18*x-45,-x^3-2*x^2+2*x+7,4*x^3+6*x^2-7*x-15,x+3,9*x^3+17*x^2-30*x-41,3*x^3+7*x^2-11*x-14,-x^3+x^2+3*x-9,-x^3-6*x^2+5*x+10,-x^3-2*x^2+3*x+6,-7*x^2-3*x+21,-x^3-x^2+2*x+5,-x^3+x^2+7*x-7,1,-5*x^3-10*x^2+16*x+28,-2*x^2-4*x+3,-x^2+4,-5*x^3-12*x^2+17*x+30,-2*x^3-3*x^2+7*x+7,-x^3-5*x^2+5*x+6,-3*x^3+11*x+7,-2*x^3-7*x^2+5*x+16,-x^3-2*x^2+2*x+7,-4*x^2-3*x+9,x^3+x^2-2*x-3,-x^3+4*x+1,6*x^3-2*x^2-19*x,2*x^3-4*x^2-7*x+18,-4*x^3+13*x,11*x^3+10*x^2-36*x-20,3*x^3+7*x^2-5*x-14,-2*x^3-3*x^2+10*x+7,-2*x^2+5,4*x^3+11*x^2-9*x-21,-4*x^3-12*x^2+10*x+28,1,-5*x^3-9*x^2+16*x+25,-5*x^2-x+12,7*x^3+6*x^2-18*x-14,-x^3-x^2+3*x+2,-2*x^3-9*x^2+9*x+15,-3*x^3+8*x+1,5*x^3+8*x^2-17*x-14,x^3+3*x^2-5*x-14,-2*x^3-3*x^2+6*x+14,-x^3-2*x^2+3*x+9,x,x^3+5*x^2-2*x-19,x^3+x^2-2*x-3,-x^3-7*x^2-5*x+23,x^3+6*x^2-13*x-21,-2*x^3+x-2,-5*x^3-2*x^2+16*x,3*x^3+4*x^2-10*x-9,-8*x^3-11*x^2+21*x+28,-3*x^3-7*x^2+17*x+19,3*x^3+5*x^2-10*x-10,x^3-3*x+2,3*x^3-8*x+14,-11*x^3-19*x^2+33*x+53,-x^3-2*x^2+2*x+7,1,-x^3+x^2-x+7,-4*x^3-5*x^2+14*x+13,3*x^3+x^2-7*x-2,8*x^3+9*x^2-29*x-14,4*x^3+12*x^2-13*x-21,-x^3+x^2+5*x-3,x+3,4*x^3+3*x^2-15*x+2,6*x^2+4*x-7,6*x^3+3*x^2-23*x-2,x^3-3*x+2,x^3+6*x^2-20,x,x^3+x^2-2*x+3,4*x^3+9*x^2-12*x-28,x^3-7*x^2-6*x+18,-3*x^3-3*x^2+11*x+7,-x^3-x^2+2*x+5,-6*x^3-6*x^2+15*x+14,-3*x^3-2*x^2+10*x+4,-5*x^3-3*x^2+16*x+7,-8*x^3-15*x^2+24*x+42,-x^2+6*x-2,-3*x^3-2*x^2+11*x+1,2*x^3+15*x^2-6*x-28,x^3-3*x+2,x^2-2,-3*x^3-3*x^2+2*x+6,-2*x^3-3*x^2+7*x+7,11*x^3+12*x^2-31*x-33,-4*x^2-2*x+21,3*x^3+7*x^2-15*x-10,-x^3-8*x^2+6*x+28,x^3+4*x^2-3*x-9,x^3-5*x^2+x+6,-4*x^3-x^2+18*x+2,5*x^3+4*x^2-21*x-7,2*x^3+x^2-10*x-5,x+3,-x^3+4*x+1,3*x^2+x-7,3*x^3+6*x^2-4*x-25,x^3+10*x^2-7*x-19,6*x^3+10*x^2-18*x-16,-2*x^3-5*x^2+x+14,x^3+4*x^2+x-15,-3*x^3-7*x^2+6*x+28,2*x^3+2*x^2-8*x-5,16*x^3+18*x^2-51*x-42,-5*x^3-7*x^2+10*x+17,-2*x^2+5,-x^3-x^2+2*x+5,6*x^3+17*x^2-19*x-28,7*x^2-3*x-19,2*x^3+x^2-5*x,-5*x^3-5*x^2+18*x+10,17*x^3+24*x^2-50*x-63,8*x^3+7*x^2-27*x-25,3*x^3+x^2-7*x-3,7*x^3+10*x^2-19*x-38,x^3-3*x^2-8*x+7,-x^3-x^2+3*x+2,2*x^3+5*x^2-9*x-7,10*x^3+29*x^2-31*x-80,-2*x^3-3*x^2+7*x+7,-x^3-3*x^2-3*x+7,-x^3-3*x^2-x+12,10*x^3+13*x^2-28*x-34,-x^3-4*x^2+6*x+7,3*x^3+10*x^2-16*x-25,3*x^3+3*x^2-8*x-1,-10*x^3-22*x^2+30*x+63,x,-3*x^3+2*x^2+16*x-3,-2*x^3-4*x^2+5*x+11,x^3+x^2-4*x-1,-2*x^3-4*x^2+3*x,-x^3+4*x+1,3*x^3+8*x^2-10*x-28,-5*x^3-15*x^2+10*x+43,-12*x^3-13*x^2+35*x+35,-4*x^3-8*x^2+22*x+24,-x^3-x^2+3*x+2,3*x^3+4*x^2-10*x-9,-5*x^3-x^2+7*x+7,x^3-6*x^2-3*x+17,2*x^3+7*x^2+2*x-19,-5*x^3-15*x^2+10*x+38,-7*x^3-7*x^2+18*x+14,2*x^3+7*x^2-6*x-17,-2*x^2+5,-2*x^3-2*x^2+5*x+2,-4*x^3-3*x^2+9*x,-2*x^3+4*x^2+4*x-6,-x^3-2*x^2+2*x+7,-3*x^3+10*x+8,-2*x^2+2*x+7,-8*x^3-15*x^2+25*x+31,-2*x^3+5*x^2-2*x-4,-x^2-4*x+5,-4*x^3+5*x^2+16*x-14,-8*x^3-6*x^2+29*x+2,-4*x^3-7*x^2+12*x+22,-x^3-x^2+3*x+2,10*x^3+30*x^2-31*x-77,-x^3+x^2+5*x-3,3*x^3+7*x^2-7*x-15,-3*x^3-7*x^2+6*x+11,-3*x^3-2*x^2+9*x+14,5*x^3+6*x^2-19*x-16,4*x^2+x-14,-10*x^3-27*x^2+30*x+67,11*x^3+15*x^2-25*x-28,10*x^3+22*x^2-29*x-56,-4*x^3-6*x^2+8*x+16,x^2+4*x-5,x,-4*x^3-8*x^2+13*x+23,-3*x^3-8*x^2+8*x+21,-3*x^3+3*x^2+3*x-13,-5*x^3-x^2+12*x,-7*x^3-17*x^2+23*x+31,2*x^3+10*x^2-9*x-17,-8*x^3-22*x^2+26*x+69,-x^3-3*x^2+3*x+7,-7*x^3+4*x^2+29*x-29,5*x^3+9*x^2-21*x-14,-3*x^3-2*x^2+10*x+4,-10*x^2+4*x+21,3*x^3+4*x^2-10*x-9,4*x^3+3*x^2-11*x-5,-x^3-2*x^2+x+6,3*x^3+x^2-15*x-7,-3*x^3-7*x^2+6*x+25,-3*x^3-2*x^2+14*x+10,4*x^2-19,-2*x^3-3*x^2+10*x+7,10*x^3+13*x^2-35*x-24,x^2-2,4*x^3+x^2-16*x+2,5*x^3+4*x^2-20*x-7,6*x^3-26*x-13,-x^3-2*x^2+2*x+7,-x^3-9*x^2-10*x+33,-7*x^3-11*x^2+24*x+7,x^3-5*x+1,-9*x^2+2*x+13,x^3-11*x^2+2*x+47,-11*x^2+14,x^3+4*x^2-3*x-9,6*x^3-4*x^2-23*x+15,6*x^3+6*x^2-18*x-9,4*x^3+8*x^2-12*x-21,-5*x^3-x^2+15*x+5,-3*x^3-11*x^2+10*x+22,-x^3+x^2+5*x-3,-7*x^3-x^2+22*x+21,-3*x^3-9*x^2-x+22,-11*x^3-14*x^2+41*x+35,5*x^3+8*x^2-14*x-21,3*x^2+x-7,-9*x^3-20*x^2+26*x+61,4*x^3+4*x^2-13*x-1,-2*x^3-x^2+4*x-4,-19*x^3-33*x^2+64*x+77,-9*x^3+x^2+32*x-9,-4*x^3-6*x^2+12*x+13,-15*x^3-17*x^2+54*x+40,x,-7*x^3-10*x^2+13*x+16,3*x^3-5*x^2-6*x+11,2*x^3+2*x^2-8*x-5,-5*x^3-10*x^2+17*x+28,-1,-3*x^3+x^2+9*x-7,6*x^3+7*x^2-20*x-11,9*x^3+19*x^2-22*x-56,-3*x^3+5*x^2+7*x-32,6*x^3+3*x^2-13*x-8,7*x^3+x^2-27*x-6,x^3-x^2-2*x+7,-3*x^3-2*x^2+10*x+4,2*x^3+x^2-5*x,-8*x^3-12*x^2+22*x+36,3*x^3+9*x^2-2*x-28,-6*x^3-2*x^2+20*x-6,4*x^3+4*x^2-7*x-10,-x^3+2*x^2+3*x-4,3*x^3+13*x^2-8*x-42,11*x^3+15*x^2-32*x-37,5*x^2+x-21,-3*x^3-3*x^2+10*x-4,6*x^3+6*x^2-21*x-7,-x^3-x^2+3*x+2,x^2-2,8*x^2+2*x-19,x^3+4*x^2+2*x-7,8*x^3+2*x^2-35*x+6,13*x^3+20*x^2-42*x-48,-5*x^3-9*x^2+20*x+33,-7*x^3+17*x-7,-4*x^3-9*x^2+15*x+22,-x^3-x^2+4*x+1,x^2+4*x-20,-x^3-4*x^2+6*x+7,4*x^3+5*x^2-5*x-10,10*x^3+11*x^2-32*x-28,x^3+4*x^2-3*x-9,-2*x^3-8*x^2+7*x+21,-6*x^3-4*x^2+17*x-19,-x^3-4*x^2+6*x+5,7*x^3+4*x^2-17*x-9,-15*x^3-24*x^2+50*x+56,-x^3-13*x^2+x+25,-9*x^3-10*x^2+24*x+28,x^3+x^2-4*x-1,-2*x^3-7*x^2+4*x+21,3*x^3+4*x^2-10*x-6,7*x^3+2*x^2-12*x-10,4*x^2+5*x-27,3*x^2+x-7,3*x^3+x^2-13*x-3,x^3-4*x,6*x^3+12*x^2-14*x-31,-3*x^3-16*x^2+9*x+21,-8*x^3-18*x^2+29*x+45,-x^3-x^2+3*x+2,x^3-11*x+12,12*x^3+35*x^2-44*x-77,-2*x^3-3*x^2+5*x+9,-2*x^3+2*x^2+13*x-2,-13*x^3-12*x^2+49*x+31,7*x^3+3*x^2-13*x-21,2*x^3+2*x^2-8*x-5,2*x^2-3*x+3,-2*x^3-5*x^2+6*x+4,4*x^3+3*x^2-10*x-7,2*x^3+7*x^2-6*x-17,-x^3+x^2-x+7,-17*x^3-20*x^2+50*x+58,-x^3-6*x^2+6*x+28,-7*x^3-12*x^2+22*x+9,2*x^3-x^2-8*x+5,3*x^3-11*x+6,x^3+2*x^2-7*x-14,18*x^2+10*x-67,2*x^3+x^2-5*x,-2*x^3-8*x^2+7*x+21,-2*x^2+2*x+7,-3*x^3-13*x^2+11*x+52,x^3+x^2-x-4,4*x^3+6*x^2-19*x-12,6*x^3+14*x^2-28*x-21,-x^2-4*x-7,-8*x^3-19*x^2+32*x+49,-6*x^3-x^2+21*x-1,10*x^3+18*x^2-22*x-42,4*x^3+5*x^2-14*x-12,-x^3-7*x^2+2*x+16,-x^3-x^2+3*x+2,4*x^3+7*x^2-16*x-7,3*x^3-2*x^2-13*x-3,-11*x^3-14*x^2+37*x+33,5*x^3+20*x^2-9*x-49,2*x^3+4*x^2-7*x-14,4*x^3+6*x^2-7*x-18,6*x^3+13*x^2-22*x-22,7*x^3+13*x^2-22*x-37,-7*x^3-20*x^2+22*x+35,-7*x^3-27*x^2+19*x+62,4*x^2+x-14,x^3+2*x^2-3*x-6,-x^3-4*x^2+6*x+7,11*x^3+4*x^2-30*x+10,9*x^3+5*x^2-20*x-12,9*x^3+9*x^2-29*x-19,7*x^3-3*x^2-19*x,5*x^2-3*x-5,x^3+7*x^2-4*x-20,-x^3+3*x^2+13*x-21,-5*x^3-12*x^2+15*x+35,-4*x^3-8*x^2+13*x+23,6*x^3+18*x^2-20*x-37,7*x^3+10*x^2-23*x-21,7*x^3+21*x^2-33*x-56,x^3+x^2-4*x-1,-5*x^3-3*x^2+16*x+7,19*x^3+26*x^2-66*x-57,10*x^3+23*x^2-45*x-49,-6*x^3+4*x^2+19*x-8,-x^3-4*x^2+11,14*x^3+11*x^2-46*x-37,-x^3-3*x^2+3*x+7,-2*x^3-16*x^2-2*x+51,7*x^3+15*x^2-19*x-34,3*x^3-13*x+4,29*x^3+29*x^2-90*x-70,-14*x^3-14*x^2+51*x+45,-x^3-x^2+3*x+2,-6*x^2+2*x+19,-3*x^3-9*x^2+8*x+7,6*x^3+23*x^2-12*x-59,-3*x^3+7*x^2+19*x-35,-x^3-2*x^2+x+6,13*x^3+32*x^2-44*x-70,-x^3-3*x^2+3*x+18,-2*x^3+2*x^2+4*x-3,-5*x^3-8*x^2+22*x+27,10*x^3+2*x^2-28*x-21,6*x^3+25*x^2-15*x-75,5*x^3+8*x^2-18*x-7,2*x^3+7*x^2-6*x-17,-22*x^3-30*x^2+73*x+70,-2*x^3-3*x^2+5*x+3,x^2-2,9*x^3+4*x^2-26*x-5,2*x^3-2*x^2+21,17*x^3+22*x^2-65*x-45,6*x^3+13*x^2-19*x-42,-6*x^3-19*x^2+22*x+45,x^3+2*x^2-2*x-7,-2*x^3+x^2+5*x-7,-4*x^3-5*x^2+10*x+8,-4*x^3+5*x^2+7*x-10,-2*x^2+2*x+7,x^3-5*x+1,8*x^3+10*x^2-31*x-29,4*x^3+4*x^2-12*x-6,-15*x^3-20*x^2+48*x+35,-2*x^3-x^2+7*x-5,-3*x^3-13*x^2+13*x+24]];
E[1001,6] = [x^5-6*x^3+x^2+5*x-2, 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E[1001,7] = [x^7-19*x^5-x^4+117*x^3+17*x^2-231*x-72, 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