Sharedwww / serrepqdata.gpOpen in CoCalc
Author: William A. Stein
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\\ serrepqdata.gp defines two matrices:
\\ 1. E = a matrix
\\    E[N,i] = [v,f] = ith newform at level N 
\\         v = vector of expressions in x. 
\\             think of x as a root of f.
\\    This should be defined for all 11 <= N < 100 prime
\\    and all N<1000 the product of exactly two primes
\\    both >= 11.
\\ 2. reducible = a matrix
\\    reducible[N,i]= integer divisibile by exactly the primes for which 
\\            the representation associated to the N,i newform is reducible.
\\            This should be defined for the primes p with 11<=p< 100. 
\\            It is 1 (not 0!) if there are no such reducible primes.

E=matrix(1000,30,i,j,0);
reducible=matrix(100,30,i,j,0);
\\ This is probably NOT complete, there may be other primes for
\\ which rho is reducible.
\\   The numbers there now are just got from looking at torsion points
\\   on elliptic curves. 
reducible[11,1]=5;
reducible[17,1]=2;
reducible[19,1]=3;
reducible[23,1]=1;  
reducible[29,1]=1;
reducible[31,1]=1;
reducible[37,1]=1;
reducible[37,2]=3;
reducible[41,1]=1;
reducible[43,1]=1;
reducible[43,2]=1;
reducible[47,1]=1;
reducible[53,1]=1;
reducible[53,2]=1;
reducible[59,1]=1;
reducible[61,1]=1;
reducible[61,2]=1;
reducible[67,1]=1;
reducible[67,2]=1;
reducible[67,3]=1;
reducible[71,1]=1;
reducible[71,2]=1;
reducible[73,1]=2;
reducible[73,2]=1;
reducible[73,3]=1;
reducible[79,1]=1;
reducible[79,2]=1;
reducible[83,1]=1;
reducible[83,2]=1;
reducible[89,1]=1;
reducible[89,2]=2;
reducible[89,3]=1;
reducible[97,1]=1;
reducible[97,2]=1;


\\ the prime levels < 100
E[11,1]=[[-2,-1,1,-2,1,4,-2,0,-1,0,7,3,-8,-6,8,-6,5,12,-7,-3,4,-10,-6,15,-7], x-1];
E[17,1]=[[-1,0,-2,4,0,-2,1,-4,4,6,4,-2,-6,4,0,6,-12,-10,4,-4,-6,12,-4,10,2], x-1];
E[19,1]=[[0,-2,3,-1,3,-4,-3,1,0,6,-4,2,-6,-1,-3,12,-6,-1,-4,6,-7,8,12,12,8], x-1];
E[23,1]=[[x,-2*x-1,2*x,2*x+2,-2*x-4,3,-2*x+2,-2,1,-3,6*x+3,-2*x,-4*x-1,0,-2*x-1,4*x-2,4*x+4,-8*x-2,2*x-4,2*x+11,-4*x+9,-8*x-6,2*x-10,-4*x-8,6*x+14], x^2+x-1];
E[27,1]=[[0,0,0,-1,0,5,0,-7,0,0,-4,11,0,8,0,0,0,-1,5,0,-7,17,0,0,-19], x-1];
E[29,1]=[[x,-x,-1,2*x+2,x+2,2*x+1,-2*x-4,6,-4*x-6,1,-5*x-2,-4,6*x+10,x+6,3*x+4,-6*x-5,4*x+6,2*x,-4*x-4,2*x-4,4,x,-4*x-2,6*x+2,-6*x-10], x^2+2*x-1];
E[31,1]=[[x,-2*x,1,2*x-3,2,-2*x,-2*x+4,-2*x+1,6*x-4,-2*x+6,1,-2,7,2*x-2,4*x-4,-4*x-4,2*x-1,10*x-8,8,-10*x+7,4*x+2,-6*x-2,-8*x-2,6*x+2,-8*x-3], x^2-x-1];
E[32,1]=[[0,0,-2,0,0,6,2,0,0,-10,0,-2,10,0,0,14,0,-10,0,0,-6,0,0,10,18], x-1];
E[37,1]=[[-2,-3,-2,-1,-5,-2,0,0,2,6,-4,-1,-9,2,-9,1,8,-8,8,9,-1,4,-15,4,4], x-1];
E[37,2]=[[0,1,0,-1,3,-4,6,2,6,-6,-4,1,-9,8,3,-3,12,8,-4,-15,11,-10,9,6,8], x-1];
E[41,1]=[[x,-1/2*x^2-x+3/2,-x-1,1/2*x^2+x+1/2,3/2*x^2+x-9/2,-x^2+3,-2,-3/2*x^2-x+13/2,-2*x^2-2*x+8,x^2+2*x-5,2*x+6,-3*x-3,1,x^2-5,3/2*x^2-3*x-13/2,x^2+2*x-1,-2*x^2-2*x+4,-x^2+2*x+5,-3/2*x^2-x+9/2,-3/2*x^2+x+25/2,4*x^2+x-15,1/2*x^2-x+17/2,2*x^2+4*x-6,-4*x^2-2*x+12,-2*x^2-4*x+8], x^3+x^2-5*x-1];
E[43,1]=[[-2,-2,-4,0,3,-5,-3,-2,-1,-6,-1,0,5,-1,4,-5,-12,2,-3,2,2,-8,15,-4,7], x-1];
E[43,2]=[[x,-x,-x+2,x-2,2*x-1,2*x+1,2*x+5,-2*x-2,-4*x+1,3*x,-3,-6*x,-2*x-1,1,6,-2*x+11,2*x-2,3*x+4,6*x+1,-2*x-6,3*x-12,-2*x+2,4*x+9,-3*x-6,-2*x-1], x^2-2];
E[47,1]=[[x,x^3-x^2-6*x+4,-4*x^3+2*x^2+20*x-10,3*x^3-x^2-16*x+7,2*x^3-2*x^2-10*x+6,-4*x^3+2*x^2+22*x-8,x^3+x^2-6*x,-2*x^3+10*x-2,-2*x^3+12*x-4,-2*x^3+2*x^2+10*x-10,4*x^3-2*x^2-22*x+8,3*x^3-x^2-14*x+8,-2*x+2,-2*x^3+2*x^2+14*x-8,1,5*x^3-3*x^2-30*x+13,7*x^3-x^2-36*x+11,-7*x^3+5*x^2+38*x-23,-12*x^3+6*x^2+60*x-26,7*x^3-3*x^2-34*x+12,-2*x^2-4*x+12,7*x^3-3*x^2-34*x+20,8*x^3-4*x^2-40*x+24,5*x^3+x^2-26*x+1,-9*x^3+7*x^2+46*x-21], x^4-x^3-5*x^2+5*x-1];
E[49,1]=[[1,0,0,0,4,0,0,0,8,2,0,-6,0,-12,0,-10,0,0,4,16,0,8,0,0,0], x-1];
E[53,1]=[[-1,-3,0,-4,0,-3,-3,-5,7,-7,4,5,6,-2,-2,-1,-2,-8,-12,1,-4,-1,-1,-14,1], x-1];
E[53,2]=[[x,-x^2-x+3,x^2-3,x^2-1,x^2+2*x-3,1,2*x-1,x+4,2*x^2-x-4,-3*x^2-4*x+4,-x^2+4*x+3,x^2+6*x-2,-2*x-4,-3*x^2-6*x+11,-2*x^2-4*x,1,4*x^2+2*x-8,3*x^2-2*x-11,3*x^2+6*x-3,-3*x^2-7*x+3,x^2+4*x+1,5*x^2+3*x-13,3*x+10,-4*x^2+4*x+10,5*x^2-12], x^3+x^2-3*x-1];
E[59,1]=[[x,-1/4*x^4+5/4*x^2-1/2*x,3/4*x^4+1/2*x^3-23/4*x^2-3*x+7,-1/2*x^4-1/2*x^3+7/2*x^2+3/2*x-3,-1/2*x^4-x^3+9/2*x^2+6*x-8,-1/2*x^4-x^3+9/2*x^2+6*x-6,x^4-8*x^2+9,3/4*x^4+3/2*x^3-23/4*x^2-8*x+9,-1/2*x^4+9/2*x^2+x-8,-x^4-1/2*x^3+8*x^2+1/2*x-7,x^4+x^3-9*x^2-3*x+14,-x^4+7*x^2-2,1/4*x^4+x^3-13/4*x^2-17/2*x+6,-x^3+5*x-2,-2*x-4,1/4*x^4+x^3-13/4*x^2-9/2*x+6,1,1/2*x^4+x^3-9/2*x^2-2*x+12,-1/2*x^4-2*x^3+13/2*x^2+11*x-16,-x^4-2*x^3+8*x^2+10*x-11,1/2*x^4+2*x^3-5/2*x^2-9*x,7/4*x^4+2*x^3-51/4*x^2-21/2*x+16,1/2*x^4+3*x^3-5/2*x^2-16*x+4,-3/2*x^4-x^3+19/2*x^2+4*x-4,-3/2*x^4-2*x^3+27/2*x^2+11*x-26], x^5-9*x^3+2*x^2+16*x-8];
E[61,1]=[[-1,-2,-3,1,-5,1,4,-4,-9,-6,0,8,5,-8,4,6,9,-1,-7,-8,-11,3,4,-4,-14], x-1];
E[61,2]=[[x,-x^2+3,x^2-2*x-2,x^2-x-3,x+4,-2*x^2+2*x+1,-x^2+2*x+1,3*x^2-7,-x+2,-x^2+2*x+3,-x^2-4*x+3,3*x^2-9,4*x^2-4*x-7,-x^2+2*x-3,-4*x^2+6*x+6,-2*x,-x^2-3*x+13,1,-x^2-5*x+7,x^2+4*x+1,3*x^2-4*x-6,-4*x^2-x+14,4*x^2-12,4*x^2-2*x-10,-4*x^2+8*x+10], x^3-x^2-3*x+1];
E[67,1]=[[2,-2,2,-2,-4,2,3,7,9,-5,-10,-1,0,-2,-1,10,9,-2,1,0,-7,-8,4,7,0], x-1];
E[67,2]=[[x,x+1,-2*x+1,-x,1,x,-2*x+2,x-5,4*x+1,4*x+7,6*x+3,x+2,5*x+5,-5*x-7,-x-4,6*x+3,-6,-3*x-6,1,-14*x-7,8,-7*x-9,-3*x+5,6*x-5,6*x+3], x^2+x-1];
E[67,3]=[[x,-x-3,-3,3*x+4,-2*x-3,-3*x-8,-2*x-6,3*x+5,-4*x-3,4*x+3,-1,3*x+4,-x-3,-3*x-3,x-6,-9,6,9*x+10,-1,2*x+9,-4,-9*x-17,7*x+3,2*x+3,-12*x-17], x^2+3*x+1];
E[71,1]=[[x,-x^2+3,-x-1,2*x^2+2*x-6,-2*x^2-2*x+6,4,2*x^2+2*x-6,-x^2-x+7,2*x^2-4,x^2+2*x-5,-2*x-2,-3*x^2-x+13,2*x^2+2*x-2,-2*x^2-3*x+1,2*x^2-10,-2*x,2*x^2+2*x-14,-4*x^2-6*x+16,4*x-4,1,x+1,-2*x^2-7*x+9,-x^2-x+11,-5*x^2-2*x+21,-2*x^2-4*x+8], x^3-5*x+3];
E[71,2]=[[x,-x,-x^2+x+5,-2*x,2*x^2-6,-2*x^2+4,2*x^2+2*x-6,x^2+2*x-2,-4,-2*x^2+x+10,4,-x^2-2,-4*x-2,-x^2-x+7,2*x^2+2*x-4,-4*x^2+6,2*x^2-2*x-8,-4*x+4,-2*x^2+2,1,x^2+3*x+7,-x^2+3*x+3,x^2-2*x-10,-2*x^2-x+6,2*x+8], x^3+x^2-4*x-3];
E[73,1]=[[1,0,2,2,-2,-6,2,8,4,2,-2,-6,6,-2,6,10,-6,-14,8,0,1,-4,-14,-6,-10], x-1];
E[73,2]=[[x,-x+1,-x,-1,x+3,x-1,2*x-3,-7,x+6,-4*x+3,2*x+2,-2*x+5,-6,-4*x+5,9,4*x-3,0,-x-4,-6*x+5,-3*x+3,1,3*x-1,-5*x+6,6*x+3,-3*x-1], x^2-x-3];
E[73,3]=[[x,-x-3,x,-3,-x-3,3*x+5,-6*x-9,1,x-6,-4*x-3,6*x+10,-6*x-11,4*x+6,-1,-4*x-9,8*x+15,4*x,3*x+8,6*x+17,x-9,-1,3*x-5,-3*x-6,-2*x+3,-3*x-9], x^2+3*x+1];
E[79,1]=[[-1,-1,-3,-1,-2,3,-6,4,2,-6,-10,-2,-10,4,7,8,-3,-4,8,15,2,-1,-6,-7,-19], x-1];
E[79,2]=[[x,-x^4+x^3+3*x^2-3*x+1,x^4-4*x^2-x+3,x^4-x^3-5*x^2+3*x+3,-x^4-2*x^3+6*x^2+7*x-6,x^3+x^2-2*x-3,-2*x^3+6*x+2,-3*x^3+3*x^2+10*x-8,2*x^4+x^3-9*x^2-4*x+6,2*x^3-2*x^2-4*x+6,-x^4+2*x^3+6*x^2-5*x-6,2*x^4-2*x^3-10*x^2+4*x+8,2*x^3-6*x+6,-2*x^4+2*x^3+8*x^2-6*x-6,x^4-5*x^3-5*x^2+17*x+5,-4*x^4+16*x^2+2*x-6,x^4+x^3-5*x^2-7*x+5,-2*x^4+4*x^3+2*x^2-14*x+10,3*x^3-3*x^2-14*x+4,x^4+x^3-x^2-3*x-5,-x^3-x^2+2*x,1,2*x^4+2*x^3-10*x^2-6*x+2,-2*x^4-x^3+11*x^2+4*x-1,x^4-6*x^3+2*x^2+19*x-13], x^5-6*x^3+8*x-1];
E[83,1]=[[-1,-1,-2,-3,3,-6,5,2,-4,-7,5,-11,-2,-8,0,6,5,5,-2,2,0,14,-1,0,-8], x-1];
E[83,2]=[[x,1/2*x^4-1/2*x^3-7/2*x^2+3/2*x+4,-1/2*x^5-1/2*x^4+9/2*x^3+7/2*x^2-8*x-2,3/4*x^5-1/4*x^4-25/4*x^3+3/4*x^2+19/2*x,-1/4*x^5+1/4*x^4+5/4*x^3+1/4*x^2-4,x^3-5*x+2,1/4*x^5-3/4*x^4-7/4*x^3+17/4*x^2+7/2*x-4,3/2*x^5-1/2*x^4-23/2*x^3-1/2*x^2+16*x+4,-x^5+7*x^3+3*x^2-8*x-7,3/2*x^5-12*x^3-4*x^2+39/2*x+8,-3/4*x^5+3/4*x^4+23/4*x^3-21/4*x^2-8*x+8,-3/4*x^5+3/4*x^4+19/4*x^3-13/4*x^2-3*x+8,-x^5+9*x^3+x^2-16*x-1,1/2*x^5-1/2*x^4-9/2*x^3+3/2*x^2+10*x,-1/2*x^5+3/2*x^4+9/2*x^3-21/2*x^2-10*x+10,x^5-8*x^3+9*x,-5/4*x^5-1/4*x^4+39/4*x^3+11/4*x^2-29/2*x-4,3/2*x^5+2*x^4-14*x^3-16*x^2+55/2*x+16,-2*x^5-x^4+17*x^3+13*x^2-29*x-18,1/2*x^5+1/2*x^4-11/2*x^3-3/2*x^2+13*x-8,-1/2*x^5+5/2*x^4+7/2*x^3-31/2*x^2-5*x+12,-1/2*x^5-1/2*x^4+9/2*x^3+7/2*x^2-10*x-4,1,-x^5-x^4+9*x^3+9*x^2-20*x-14,2*x^4-2*x^3-16*x^2+10*x+22], x^6-x^5-9*x^4+7*x^3+20*x^2-12*x-8];
E[89,1]=[[-1,-1,-1,-4,-2,2,3,-5,7,0,-9,-2,0,-7,-12,-3,4,6,12,-10,7,-6,12,-1,9], x-1];
E[89,2]=[[1,2,-2,2,-4,2,6,-2,2,-6,6,10,-6,2,12,-6,-10,-6,12,4,10,-12,-6,1,-18], x-1];
E[89,3]=[[x,-1/2*x^4+1/2*x^3+7/2*x^2-5/2*x-4,-x^2+4,1/2*x^4-4*x^2-x+13/2,-x^3+5*x+2,-x^4+x^3+8*x^2-5*x-11,x^4-x^3-7*x^2+4*x+4,1/2*x^3-1/2*x^2-3/2*x+9/2,x^4-3/2*x^3-13/2*x^2+17/2*x+11/2,-x^4+9*x^2-14,1/2*x^4-3/2*x^3-7/2*x^2+15/2*x+8,x^4-2*x^3-8*x^2+10*x+9,-x^4+x^3+8*x^2-3*x-11,-3/2*x^3+1/2*x^2+17/2*x-1/2,x^3-7*x-2,-x^4+7*x^2+x-8,1/2*x^4+x^3-3*x^2-8*x-1/2,-x^2+5,-x^4+9*x^2-2*x-14,-2*x^4+4*x^3+16*x^2-20*x-24,x^4-7*x^2+1,-x^4+2*x^3+8*x^2-10*x-1,1/2*x^4-4*x^2-3*x+1/2,1,-x^3-x^2+2*x+7], x^5+x^4-10*x^3-10*x^2+21*x+17];
E[97,1]=[[x,-x^2-3*x-2,2*x^2+5*x-1,-x^2-3*x-3,x-1,-x-2,x^2+4*x+1,-4*x^2-6*x+7,-3*x-8,-4*x^2-14*x-5,x^2-6,6*x^2+17*x+2,x^2+x-1,3*x^2+8*x+1,4*x^2+12*x-3,-2*x^2-13*x-10,2*x^2+7*x+9,-5*x^2-8*x+7,3*x^2+13*x+7,3*x^2+11*x-3,-x^2-3*x-1,4*x^2+7*x-8,-8*x-10,-5*x^2-14*x+2,-1], x^3+4*x^2+3*x-1];
E[97,2]=[[x,-x^2+x+2,-x+1,x^3-x^2-4*x+2,-2*x^3+4*x^2+3*x-3,-3*x^3+4*x^2+8*x-5,2*x^3-3*x^2-4*x+3,-x^3+2*x^2+3*x-4,-x^3+4*x^2-1,x^3-2*x^2+x+2,3*x^3-7*x^2-3*x+7,-3*x^3+6*x^2+6*x-9,3*x^3-7*x^2-10*x+14,-x^2+5,x^3-4*x^2-x+12,-x^3-2*x^2+8*x+3,-2*x^3+11*x+1,4*x^3-9*x^2-8*x+11,3*x^3-x^2-10*x-6,-x^3-x^2+8*x+4,3*x^3-x^2-10*x-8,-3*x^3+14*x-1,2*x^3-4*x^2+2*x+4,x^3+3*x^2-11*x-11,1], x^4-3*x^3-x^2+6*x-1];





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\\ this part is:
\\ 11<=N<=700, N a product of exactly two primes both >=11.
\\ E[N,ith eigenform]=[[a_2,...,a_97],  f(x)]
\\ where the a_i are defined over Q[x]/f(x).
\\ Next 
\\ E[N,ith eigenform]=[[a_2,...,a_29],  f(x)]
\\ where 700<=N<=1000, N a product of exactly two primes both >=11.

E[143,1]=[[x,-x^3+3*x^2-3,-2*x^2+2*x+4,x^3-x^2-4*x+2,1,-1,-4*x^2+6*x+8,-3*x^3+7*x^2+2*x-3,x^3-x^2-2*x-2,-2*x^3+4*x^2+4*x-6,4*x^3-6*x^2-8*x+2,-4*x^2+8*x+8,x^3-3*x^2+4*x+2,-2*x+8,-2*x^3+2*x^2+6*x-4,-x^3+3*x^2-2*x-3,2*x^3-2*x^2-4*x-6,-2*x^3+4*x^2+6*x-8,-4*x^3+4*x^2+14*x,-4*x^3+14*x^2-4*x-18,3*x^3-3*x^2-12*x+7,2*x^3-8*x^2-4*x+12,-x^3+5*x^2-4*x-6,-2*x^3+6*x^2-2*x-2,-6*x^3+20*x^2-18], x^4-3*x^3-x^2+5*x+1];
E[143,2]=[[x,-x^5-x^4+8*x^3+6*x^2-11*x-5,x^5+2*x^4-8*x^3-14*x^2+12*x+15,2*x^5+2*x^4-17*x^3-13*x^2+26*x+14,-1,1,-2*x,-2*x^5-3*x^4+16*x^3+20*x^2-23*x-22,-3*x^5-4*x^4+25*x^3+29*x^2-38*x-33,2*x^5+2*x^4-16*x^3-14*x^2+22*x+18,3*x^5+4*x^4-26*x^3-28*x^2+44*x+29,-x^5-2*x^4+8*x^3+16*x^2-10*x-19,2*x^5+2*x^4-17*x^3-11*x^2+26*x+6,-2*x^5-2*x^4+18*x^3+14*x^2-32*x-16,2*x^5+2*x^4-16*x^3-12*x^2+24*x+12,6*x^5+7*x^4-50*x^3-48*x^2+75*x+54,-5*x^5-6*x^4+42*x^3+38*x^2-66*x-33,4*x^5+6*x^4-32*x^3-42*x^2+44*x+50,x^5+2*x^4-8*x^3-16*x^2+12*x+23,-3*x^5-4*x^4+26*x^3+28*x^2-40*x-33,-x^4+8*x^2+x-4,2*x^5+2*x^4-16*x^3-14*x^2+22*x+20,2*x^4+x^3-15*x^2-6*x+12,x^5+2*x^4-10*x^3-14*x^2+20*x+9,-5*x^5-6*x^4+42*x^3+40*x^2-66*x-37], x^6-10*x^4+2*x^3+24*x^2-7*x-12];
E[143,3]=[[0,-1,-1,-2,-1,-1,-4,2,7,-2,-3,-11,10,-4,-4,2,-1,-2,-1,-9,-16,8,0,-7,-13], x-1];
E[187,1]=[[0,1,3,2,1,2,-1,2,-3,-6,-7,-7,12,-10,0,6,-3,8,-7,-9,2,8,6,15,11], x-1];
E[187,2]=[[2,x,-x,-x+1,1,0,-1,2*x-2,3*x+2,-x+7,x,-x+2,3*x-1,2,3*x-1,-x+5,-3,-2*x-6,-2*x-1,-3*x+2,3*x+7,6*x,-4*x-2,-6*x+1,-3*x-10], x^2+x-4];
E[187,3]=[[-x-1,x,-x-2,-2,1,x-5,1,-3*x-1,-x-2,x-3,-x+4,-x-2,2*x+6,-2,4*x-6,2*x-6,3,4*x-4,1,-x+2,-3*x+9,3*x-3,8*x+2,-4*x-5,x+14], x^2-3];
E[187,4]=[[-x^2-x+2,x,x^2+x-5,-2*x-2,-1,-3*x^2-3*x+8,-1,3*x^2+5*x-4,x-4,2*x^2+3*x-9,-3*x^2-5*x+3,2*x^2+7*x-4,-2*x-2,4*x^2+8*x-4,-x^2-4*x+5,-3*x^2-4*x-3,-5*x^2-4*x+14,2*x,-2*x^2-6*x-3,-3*x^2-3*x+7,x-3,-2*x^2-x+11,4*x^2+4*x-8,2*x^2-2*x-9,2*x^2+x-12], x^3+3*x^2-x-5];
E[187,5]=[[1/3*x^3-8/3*x+1/3,x,-1/3*x^3+8/3*x+2/3,0,-1,x^2-x-6,1,-2/3*x^3-x^2+13/3*x+16/3,-2/3*x^3+13/3*x+4/3,-1/3*x^3-x^2+8/3*x+26/3,x^3+2*x^2-6*x-16,2/3*x^3-13/3*x+14/3,-2*x+2,2*x^2-2*x-12,1/3*x^3-11/3*x+4/3,1/3*x^3-11/3*x+22/3,2/3*x^3+x^2-22/3*x-4/3,4/3*x^3-32/3*x+10/3,-5/3*x^3-x^2+37/3*x+16/3,-x^3+2*x^2+10*x-8,-5/3*x^3-3*x^2+40/3*x+46/3,x^3-x^2-6*x,8/3*x^3+2*x^2-58/3*x-28/3,7/3*x^3+3*x^2-47/3*x-62/3,-2/3*x^3+25/3*x+10/3], x^4-x^3-11*x^2+9*x+20];
E[187,6]=[[2,0,4,-5,-1,4,1,2,-2,-3,4,-2,-3,-2,3,9,-3,-10,7,2,-3,0,14,1,-10], x-1];
E[209,1]=[[x,-x-1,-1,-x-2,-1,3*x-2,x+2,-1,-3,-3*x-2,-x-5,5*x+3,-4*x+4,-4*x+6,2*x+6,-6*x+4,x-3,-5*x-4,-x-9,-x-11,-6*x+4,x-16,x+2,7*x-5,x+1], x^2-2];
E[209,2]=[[x,1/2*x^4-x^3-5/2*x^2+4*x+1,-1/2*x^3+7/2*x-1,-1/2*x^3+3/2*x+2,1,-1/2*x^4+7/2*x^2-2,x^4-x^3-5*x^2+3*x,-1,-x^4+x^3+8*x^2-5*x-9,3/2*x^4-x^3-17/2*x^2+2*x+6,-1/2*x^4+2*x^3+5/2*x^2-10*x+1,x^4-8*x^2+9,-5/2*x^4+3*x^3+27/2*x^2-13*x-4,-x^4+5/2*x^3+4*x^2-15/2*x+4,x^4-9*x^2+8,-x^4-x^3+9*x^2+5*x-14,-x^4-x^3+6*x^2+5*x-1,x^4-x^3-5*x^2+5*x-2,-5/2*x^4+3*x^3+25/2*x^2-9*x-1,-1/2*x^4+3*x^3+1/2*x^2-10*x+7,x^4-4*x^3-7*x^2+22*x+8,x^3-5*x+8,x^4-3/2*x^3-4*x^2+17/2*x-6,x^3-x^2-5*x-3,2*x^4-2*x^3-13*x^2+4*x+15], x^5-2*x^4-6*x^3+10*x^2+5*x-4];
E[209,3]=[[x,-1/2*x^4+7/2*x^2-x-2,1/2*x^5-9/2*x^3+7*x+3,-1/4*x^6+3*x^4-37/4*x^2+13/2,-1,-1/4*x^6-1/2*x^5+5/2*x^4+9/2*x^3-27/4*x^2-9*x+7/2,x^4-x^3-9*x^2+7*x+12,1,1/2*x^6-5*x^4+21/2*x^2+2*x,-1/2*x^4+9/2*x^2-x-9,1/4*x^6+1/2*x^5-5/2*x^4-9/2*x^3+23/4*x^2+9*x+7/2,-x^5-x^4+10*x^3+8*x^2-21*x-13,-1/4*x^6-1/2*x^5+5/2*x^4+7/2*x^3-27/4*x^2-2*x+3/2,-1/2*x^6-1/2*x^5+5*x^4+9/2*x^3-21/2*x^2-9*x-1,x^4-2*x^3-9*x^2+14*x+12,-x^5-x^4+9*x^3+9*x^2-16*x-18,2*x^5+x^4-19*x^3-6*x^2+37*x+9,x^4-x^3-9*x^2+9*x+14,1/4*x^6-1/2*x^5-5/2*x^4+9/2*x^3+15/4*x^2-9*x+7/2,-1/2*x^6-x^5+9/2*x^4+9*x^3-6*x^2-17*x-9,1/2*x^6+x^5-5*x^4-7*x^3+27/2*x^2+6*x-7,x^3-9*x+8,-1/2*x^6+1/2*x^5+7*x^4-11/2*x^3-57/2*x^2+12*x+27,-1/2*x^6-x^5+4*x^4+8*x^3-3/2*x^2-13*x-18,x^5+2*x^4-10*x^3-17*x^2+27*x+23], x^7+x^6-14*x^5-10*x^4+59*x^3+27*x^2-66*x-30];
E[209,4]=[[0,1,-3,-4,1,2,0,1,3,-6,-7,-7,0,-10,0,6,3,-10,11,15,8,-16,0,9,-1], x-1];
E[221,1]=[[1,2,2,2,-6,-1,1,4,6,-6,-2,2,-6,0,-4,14,4,2,0,-10,10,14,12,-18,2], x-1];
E[221,2]=[[-1,0,4,-2,6,-1,1,8,4,-6,-2,-8,0,4,0,-6,0,-10,-8,2,0,0,-4,-2,-4], x-1];
E[221,3]=[[x,-x+1,x-1,2,2,-1,1,-2*x+2,-x-3,-6,2*x,-x+5,-x+5,2*x-6,2*x-2,-2*x,2*x-2,2*x+4,4*x,4*x+2,3*x-7,x+7,4*x+4,-2,x-9], x^2-5];
E[221,4]=[[x,x-1,-2*x-1,-x-1,3*x,-1,-1,3*x-2,-2*x+2,2*x-3,-7,4*x+7,-4*x,-11,2*x+2,x-1,-2*x-5,3*x+3,-10*x-6,4*x+10,8*x-1,-4*x-3,-2*x-5,-3*x+6,-9*x-1], x^2+x-1];
E[221,5]=[[x,-x-1,-x^2-x+2,x-3,x^2-5,1,1,-x^2-3,4*x^2+2*x-10,-x^2+x+4,-3*x^2-x+6,x^2-5*x-4,-2*x^2+2*x+6,-3*x^2-x+10,-4*x^2-2*x+10,4*x^2+3*x-7,3*x^2-3*x-6,x-5,-2*x-6,2*x^2-2*x-12,5*x^2+3*x-12,3*x^2-x-16,-x^2+x+10,-x^2+2*x-3,2*x^2+7*x-5], x^3-4*x+1];
E[221,6]=[[x,-1/2*x^5+1/2*x^4+4*x^3-5/2*x^2-13/2*x+1,1/2*x^4-1/2*x^3-3*x^2+3/2*x+3/2,-x^3+5*x+2,-x^2+3,1,-1,x^5-x^4-8*x^3+6*x^2+13*x-1,1/2*x^5+1/2*x^4-4*x^3-7/2*x^2+13/2*x,-x^3+x^2+5*x-3,x^3+x^2-7*x-1,-x^5+1/2*x^4+17/2*x^3-2*x^2-29/2*x+1/2,-x^5+1/2*x^4+19/2*x^3-3*x^2-39/2*x+3/2,-x^4+5*x^2+2*x+2,-2*x^3+2*x^2+12*x-6,x^5-2*x^4-8*x^3+11*x^2+15*x-9,x^5-2*x^4-8*x^3+10*x^2+17*x,x^5-10*x^3-x^2+19*x+5,x^4+x^3-8*x^2-5*x+11,-x^4+x^3+8*x^2-9*x-9,-x^5+3/2*x^4+19/2*x^3-10*x^2-35/2*x+19/2,1/2*x^5+1/2*x^4-5*x^3-5/2*x^2+15/2*x-1,-x^5-x^4+9*x^3+10*x^2-20*x-9,x^5-x^4-6*x^3+4*x^2+5*x+3,-x^5+1/2*x^4+17/2*x^3-5*x^2-25/2*x+19/2], x^6-x^5-9*x^4+6*x^3+19*x^2-5*x-3];
E[221,7]=[[x,x+1,-1,-x-3,x+2,-1,1,-x+2,-2*x+2,9,2*x+5,-2*x-5,0,9,-2*x-2,x-5,-2*x+3,-x+9,-2*x-10,2,-2*x+3,2*x-3,-2*x-1,5*x-2,-5*x+1], x^2+x-5];
E[247,1]=[[x,2*x-2,2*x,-2,2*x-4,1,-4*x+5,-1,-2*x+5,4*x-2,2*x+1,4*x+1,-3,-2*x+5,-8*x+2,-4*x+6,-6*x+3,7,2*x-3,-4*x+4,2*x+8,-6*x-2,14,10,-17], x^2-x-1];
E[247,2]=[[x,-x^2-x+1,-x^2-2*x,2*x^2+3*x-4,x^2-3,1,x^2+4*x-3,1,-x^2-4*x-3,2*x^2+5*x-6,-4*x^2-3*x+8,5*x^2+6*x-7,-3*x^2-5*x+3,-3*x^2-6*x+8,-2*x^2-4*x+3,x^2+5*x-3,4*x^2+x-9,-6*x^2-12*x+2,-6*x^2-6*x+11,-2*x^2-2*x+9,3*x-4,3*x+5,3*x^2+6*x-9,-7*x^2-13*x+3,-8*x^2-12*x+14], x^3+3*x^2-3];
E[247,3]=[[x,-x^2+x+3,x^3-2*x^2-2*x+3,-x^4+2*x^3+3*x^2-4*x-1,x^4-4*x^3+9*x-2,-1,x^3-6*x+2,1,-2*x^4+3*x^3+10*x^2-8*x-10,-3*x^4+6*x^3+11*x^2-14*x-9,x^3-x^2-5*x+1,2*x^4-5*x^3-4*x^2+8*x+2,x^4-3*x^3-3*x^2+6*x+9,3*x^4-8*x^3-8*x^2+23*x-1,-x^4+3*x^3-5*x+7,-2*x^3+3*x^2+7*x-3,x^4-4*x^3+x^2+14*x-6,-x^4+x^3+4*x^2+3*x-6,4*x^4-12*x^3-6*x^2+24*x+1,-x^4+5*x^3-4*x^2-9*x+11,-x^4+2*x^3+5*x^2-8*x+3,-2*x^4+5*x^3+5*x^2-9*x-2,x^4-2*x^3-4*x^2+7*x+2,-6*x^4+14*x^3+21*x^2-37*x-13,-3*x^4+5*x^3+16*x^2-15*x-12], x^5-4*x^4+12*x^2-5*x-5];
E[247,4]=[[x,x^3-5*x,-x^3+4*x+1,-x^3-x^2+5*x+5,-x^2+5,1,x^2+1,-1,x^4-6*x^2-x+4,-x^4+x^3+6*x^2-6*x-4,x^4+x^3-6*x^2-4*x+2,-x^4+6*x^2-x-8,-x^3+2*x^2+7*x-2,x^3-6*x-1,x^4-x^3-4*x^2+5*x-1,2*x^4-x^3-10*x^2+3*x,x^4-7*x^2-2*x+8,x^4-2*x^3-5*x^2+7*x-1,-x^3+x^2+8*x-6,-2*x^4+x^3+9*x^2-2*x,-2*x^4-x^3+11*x^2+7*x-9,x^4-2*x^3-3*x^2+6*x-10,-3*x^4+2*x^3+18*x^2-7*x-16,3*x^3-2*x^2-13*x+2,-2*x^4+14*x^2-2*x-12], x^5-9*x^3-x^2+19*x+4];
E[247,5]=[[x,-x^3-2*x^2+3*x+4,x^3+2*x^2-4*x-7,x^3+x^2-5*x-3,x^2+2*x-3,-1,x^2-7,-1,-3*x^3-6*x^2+14*x+16,2*x^3+2*x^2-9*x-4,2*x^3+6*x^2-7*x-14,-5*x^3-10*x^2+18*x+24,-x^3-2*x^2+3*x-2,x^3-4*x-1,-2*x^3-4*x^2+6*x+3,-5*x^3-8*x^2+17*x+16,3*x^3+7*x^2-13*x-16,-x^3-x^2+6*x+11,5*x^3+7*x^2-16*x-10,-3*x^3-x^2+16*x+4,3*x^3+5*x^2-13*x-17,5*x^3+7*x^2-23*x-18,-x^3-4*x^2-2*x+4,-x^3-2*x^2+3*x-2,-6*x^3-10*x^2+24*x+20], x^4+3*x^3-2*x^2-9*x-4];
E[253,1]=[[x,-x^2+x+3,x^2-2*x,-x^2+x+3,-1,x^2-3*x-1,-x^2+2*x+2,2*x^2-4*x+1,1,-x^2-3*x+6,3*x^2-4*x-5,-3*x^2+6*x-3,-3*x^2+6*x+7,x^2+2*x-5,2*x^2-6*x+2,-2*x^2+5*x+7,-4*x^2+6*x+3,x^2+4*x-9,-6*x^2+14*x+6,6*x^2-5*x-19,5*x-8,-x+4,6*x^2-10*x-1,-2*x^2+11*x+2,-x^2-x+1], x^3-3*x^2+3];
E[253,2]=[[x,-x^2-x+1,x^2+2*x-4,-x^2-3*x+1,1,x^2+x-3,x^2-6,2*x-1,1,x^2+3*x+2,-5*x^2-8*x+11,x^2+2*x-7,5*x^2+6*x-11,-3*x^2-6*x+9,-2*x^2-2*x+2,2*x^2+3*x-3,-2*x-9,x^2-7,-2*x^2-2*x+2,-2*x^2-3*x-1,-4*x^2-7*x+16,7*x+4,-11,-2*x^2+x,-x^2-3*x-9], x^3+x^2-4*x+1];
E[253,3]=[[x,-x^4-3*x^3+3*x^2+10*x+1,2*x^4+5*x^3-8*x^2-18*x-1,-2*x^4-4*x^3+9*x^2+13*x-3,-1,-x^4-3*x^3+3*x^2+10*x-1,-x^3-2*x^2+6*x+5,x^4+3*x^3-2*x^2-11*x-7,-1,2*x^4+4*x^3-7*x^2-11*x-4,-2*x^4-5*x^3+6*x^2+18*x+6,-x^4-4*x^3+2*x^2+17*x+8,-6*x^4-15*x^3+20*x^2+48*x+8,5*x^4+12*x^3-18*x^2-41*x-8,3*x^4+7*x^3-12*x^2-25*x-8,-x^3-x^2+x,-7*x^4-19*x^3+22*x^2+65*x+13,x^4+2*x^3-4*x^2-3*x+6,-4*x^4-10*x^3+12*x^2+30*x+8,3*x^4+10*x^3-7*x^2-40*x-14,2*x^4+7*x^3-5*x^2-25*x-13,-3*x^4-8*x^3+13*x^2+30*x-3,-7*x^4-17*x^3+26*x^2+55*x-5,3*x^4+8*x^3-7*x^2-24*x-9,-2*x^3-x^2+9*x+5], x^5+4*x^4-14*x^2-13*x-1];
E[253,4]=[[x,x^4-x^3-5*x^2+4*x+3,-x^3+4*x+1,-x^5+6*x^3+x^2-6*x-2,1,-2*x^5+3*x^4+11*x^3-15*x^2-6*x+5,2*x^5-4*x^4-9*x^3+20*x^2-2*x-7,4*x^5-5*x^4-21*x^3+22*x^2+11*x-3,-1,-2*x^5+14*x^3+3*x^2-21*x-6,x^5-7*x^3+2*x^2+9*x-7,4*x^5-5*x^4-22*x^3+24*x^2+15*x-8,-5*x^5+6*x^4+29*x^3-28*x^2-25*x+7,-2*x^5+3*x^4+12*x^3-16*x^2-15*x+12,-x^5+x^4+7*x^3-6*x^2-6*x+5,3*x^5-2*x^4-17*x^3+9*x^2+12*x-3,-x^4+x^3+4*x^2-3*x+7,-4*x^5+3*x^4+22*x^3-14*x^2-11*x,-4*x^4+2*x^3+20*x^2-10*x-4,-4*x^5+3*x^4+22*x^3-15*x^2-12*x+10,4*x^5-4*x^4-23*x^3+19*x^2+17*x-7,-x^5-3*x^4+6*x^3+15*x^2-x-8,-x^4+3*x^3+6*x^2-15*x+3,5*x^5-5*x^4-28*x^3+21*x^2+17*x+4,-3*x^5+8*x^4+16*x^3-39*x^2-8*x+14], x^6-3*x^5-4*x^4+16*x^3-3*x^2-10*x+1];
E[299,1]=[[-x-1,x+1,x,-1,-x-3,-1,-3*x-5,-2*x-5,-1,3*x+5,3*x+5,2*x,-2*x+3,3*x+1,-3*x,4*x+3,5,4*x+1,-4*x-5,6*x+9,-x+4,x,9*x+18,6*x+8,6*x-3], x^2+3*x+1];
E[299,2]=[[-x+1,-x+1,x,1,-x+3,1,-x+3,2*x-7,-1,x-7,-x+7,2*x+4,2*x-7,-3*x+9,x,7,-4*x+11,5,5,2*x+3,-x+12,-x,5*x-6,2*x+4,-2*x+3], x^2-3*x-3];
E[299,3]=[[x-1,0,x,-x+2,-x-2,1,2,-x+6,-1,-2*x+6,-2*x+8,x,10,-2*x+8,-4,4*x-2,-2*x+4,-10,x-6,-2*x-8,-2*x-2,4*x,5*x-6,-3*x+4,3*x+8], x^2-2*x-4];
E[299,4]=[[-x-1,-x-1,x,2*x-1,x+1,1,-3*x-3,-4*x-1,1,-3*x-5,-x-7,-2*x-8,6*x-3,-x+3,9*x+2,2*x+9,-1,2*x-9,-6*x-5,-6*x-1,3*x-6,11*x+4,-3*x+2,-6*x+4,1], x^2+x-1];
E[299,5]=[[7325538/647051513*x^9-26382263/1294103026*x^8-529610753/1294103026*x^7+854214131/1294103026*x^6+3111048928/647051513*x^5-8760561717/1294103026*x^4-26566626335/1294103026*x^3+28789537995/1294103026*x^2+13298939618/647051513*x+285982256/647051513,11105665/647051513*x^9-8975947/647051513*x^8-408454909/647051513*x^7+261031726/647051513*x^6+4952890973/647051513*x^5-2339136221/647051513*x^4-23039305101/647051513*x^3+4878757863/647051513*x^2+31977328284/647051513*x+13571719580/647051513,x,8138414/647051513*x^9-381664/647051513*x^8-338063888/647051513*x^7+14284585/647051513*x^6+4791240438/647051513*x^5-289272366/647051513*x^4-26563820741/647051513*x^3-35565023/647051513*x^2+43050679639/647051513*x+19161391516/647051513,4484362/647051513*x^9+7801185/647051513*x^8-239545786/647051513*x^7-150080751/647051513*x^6+4092126821/647051513*x^5-299353465/647051513*x^4-24398516457/647051513*x^3+9009731123/647051513*x^2+30359650107/647051513*x+11549732256/647051513,-1,-21122508/647051513*x^9+17765672/647051513*x^8+813303675/647051513*x^7-567740890/647051513*x^6-10485794070/647051513*x^5+5806555898/647051513*x^4+52141081291/647051513*x^3-15933816984/647051513*x^2-74492005626/647051513*x-29936657158/647051513,-16679710/647051513*x^9+5379568/647051513*x^8+642761641/647051513*x^7-185798839/647051513*x^6-8178006687/647051513*x^5+2444187110/647051513*x^4+38709257322/647051513*x^3-9240749183/647051513*x^2-46079550705/647051513*x-18739707548/647051513,1,1276536/647051513*x^9-17334419/647051513*x^8+37765472/647051513*x^7+433938419/647051513*x^6-1838295928/647051513*x^5-2210788701/647051513*x^4+15344068534/647051513*x^3-3014715375/647051513*x^2-20841564504/647051513*x-6316030514/647051513,-21350925/647051513*x^9+10707996/647051513*x^8+849781009/647051513*x^7-394808643/647051513*x^6-11298848687/647051513*x^5+5148631852/647051513*x^4+56492269481/647051513*x^3-20530556247/647051513*x^2-73149167020/647051513*x-22590535422/647051513,3218540/647051513*x^9+20220368/647051513*x^8-169499079/647051513*x^7-534659512/647051513*x^6+2734106374/647051513*x^5+2946244102/647051513*x^4-14322952806/647051513*x^3+3738434480/647051513*x^2+6621445541/647051513*x-2299916752/647051513,14861662/647051513*x^9-21773485/647051513*x^8-550869862/647051513*x^7+725355582/647051513*x^6+6723215274/647051513*x^5-7761449963/647051513*x^4-30781309146/647051513*x^3+25531444696/647051513*x^2+37919505344/647051513*x+8979131942/647051513,-5283822/647051513*x^9+1317306/647051513*x^8+203757539/647051513*x^7-116855622/647051513*x^6-2504484212/647051513*x^5+2636994486/647051513*x^4+10245403957/647051513*x^3-16462083052/647051513*x^2-2795409452/647051513*x+7618862968/647051513,901969/647051513*x^9+12943391/647051513*x^8-36132561/647051513*x^7-404767993/647051513*x^6+391272697/647051513*x^5+3533374733/647051513*x^4-553033209/647051513*x^3-8456377199/647051513*x^2-7247315266/647051513*x+3611583358/647051513,3358558/647051513*x^9-4276703/647051513*x^8-153682262/647051513*x^7+234091850/647051513*x^6+2240491704/647051513*x^5-4016334219/647051513*x^4-10142825532/647051513*x^3+22277755704/647051513*x^2-2089415256/647051513*x-10477262790/647051513,-17552800/647051513*x^9+44774318/647051513*x^8+610338347/647051513*x^7-1434170475/647051513*x^6-6836480326/647051513*x^5+14092744028/647051513*x^4+28007075487/647051513*x^3-41873815173/647051513*x^2-29782347244/647051513*x-2198739142/647051513,-11106526/647051513*x^9+12994531/647051513*x^8+399609712/647051513*x^7-381557028/647051513*x^6-4665891990/647051513*x^5+3273117101/647051513*x^4+20373211954/647051513*x^3-6407319318/647051513*x^2-26257249656/647051513*x-7394987238/647051513,-10245260/647051513*x^9+1732049/647051513*x^8+441326100/647051513*x^7-133776917/647051513*x^6-6345957714/647051513*x^5+2809495631/647051513*x^4+33452964380/647051513*x^3-15004746871/647051513*x^2-40524787223/647051513*x-15489330972/647051513,16879812/647051513*x^9-23983462/647051513*x^8-638707077/647051513*x^7+694343335/647051513*x^6+8165966868/647051513*x^5-5664784120/647051513*x^4-41581727929/647051513*x^3+8673168015/647051513*x^2+69870168408/647051513*x+32695974658/647051513,24878505/647051513*x^9-30563210/647051513*x^8-955718628/647051513*x^7+1032064746/647051513*x^6+12256118371/647051513*x^5-11228869640/647051513*x^4-59883085336/647051513*x^3+37233555330/647051513*x^2+80434182686/647051513*x+18873554390/647051513,-54878506/647051513*x^9+33027059/647051513*x^8+2096404845/647051513*x^7-1049045272/647051513*x^6-26658639024/647051513*x^5+11166928761/647051513*x^4+129824867595/647051513*x^3-32555788050/647051513*x^2-179108674954/647051513*x-66536449488/647051513,13585690/647051513*x^9+22237505/647051513*x^8-616659291/647051513*x^7-680245723/647051513*x^6+9469215824/647051513*x^5+5752749333/647051513*x^4-55901875141/647051513*x^3-16413500523/647051513*x^2+93591465865/647051513*x+45103175832/647051513,-3194807/647051513*x^9-2481977/647051513*x^8+115713552/647051513*x^7+46710408/647051513*x^6-1261704135/647051513*x^5+457958929/647051513*x^4+3492765697/647051513*x^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x^10-3*x^9-37*x^8+112*x^7+443*x^6-1401*x^5-1817*x^4+6424*x^3+1108*x^2-6140*x-2372];
E[299,6]=[[-x+1,x,x,-2*x+2,x+2,1,-6,x+2,-1,2,4*x-4,2*x+4,-6,-2*x,-8,2*x+6,-8,-2*x+6,-3*x-2,4,-6*x+6,-2*x-8,-3*x-2,-6*x+8,3*x-8], x^2-x-4];
E[299,7]=[[0,-x^2+2*x+4,x,-x^2+2*x+5,x^2-x-3,1,2*x,-x^2+x+5,-1,2*x^2-2*x-6,-4,x^2-4*x-1,2*x^2-6*x-6,2*x^2-6*x-10,-2*x^2+6*x+12,-2*x-6,-2*x-6,4*x^2-8*x-16,-2*x^2+3*x+14,2*x^2-4*x-18,2*x^2-2*x-4,-2*x^2+2*x+14,-4*x^2+5*x+18,x^2+4*x-9,2*x^2-7*x-4], x^3-x^2-7*x-3];
E[319,1]=[[2,-3,1,4,-1,6,4,-2,3,1,-7,-11,4,-4,8,2,-3,2,-15,-7,2,6,-6,9,-17], x-1];
E[319,2]=[[x,-x,-2*x^2+x+2,2*x^2-2*x-5,1,x^2+x-4,-x^2+x-2,x-4,-4*x^2+4*x+8,1,3*x^2-2*x-9,4*x^2-x-3,-x^2+2*x-3,-5*x^2+x+13,-2*x^2+x+3,-x^2-5*x,-2*x^2-3*x+4,4*x^2-8*x-11,x^2+4*x+3,-x^2-3*x+10,-2*x^2+5*x+1,-5*x^2+7*x+15,7*x^2-x-18,x^2+x-14,-6*x^2+x+10], x^3-3*x-1];
E[319,3]=[[x,-x^3-2*x^2+2*x+1,x^3+2*x^2-2*x-3,x^3+2*x^2-3*x-2,-1,-2*x^3-5*x^2+x+4,3*x^2+5*x-6,x,-x^3-4*x^2-x+5,-1,-x^2+2*x+1,2*x^3+2*x^2-5*x-1,-x^3-x^2+x-10,5*x^3+11*x^2-6*x-8,-x^3+6*x-4,3*x^2+7*x,3*x^3+6*x^2-8*x-11,-3*x^3-4*x^2+13*x+4,2*x^3+9*x^2-2*x-15,x^3+7*x^2+6*x-15,-x^3-2*x^2-4*x-2,-3*x^3-9*x^2+10,-7*x^2-11*x+12,-5*x^3-13*x^2+10*x+9,-x^3-8*x^2-8*x+15], x^4+2*x^3-3*x^2-3*x+2];
E[319,4]=[[x,-x^4+x^3+5*x^2-3*x-3,x^5-x^4-6*x^3+4*x^2+7*x-1,x^6-3*x^5-4*x^4+14*x^3+2*x^2-11*x-1,1,x^5-2*x^4-4*x^3+6*x^2+2*x+1,x^6-3*x^5-4*x^4+15*x^3+x^2-15*x+3,-3*x^6+8*x^5+13*x^4-38*x^3-6*x^2+28*x+1,x^6-4*x^5-2*x^4+19*x^3-7*x^2-15*x+4,-1,x^6-4*x^5-x^4+17*x^3-13*x^2-6*x+7,-x^6+5*x^5+x^4-25*x^3+9*x^2+20*x,-x^6+x^5+7*x^4-4*x^3-12*x^2+7,-x^6+3*x^5+4*x^4-15*x^3+x^2+15*x-4,-3*x^6+7*x^5+13*x^4-33*x^3-5*x^2+28*x-2,x^6-3*x^5-4*x^4+15*x^3-x^2-15*x+7,x^6-6*x^5-x^4+36*x^3-10*x^2-46*x+1,3*x^6-10*x^5-8*x^4+47*x^3-13*x^2-33*x+5,x^6-3*x^5-5*x^4+16*x^3+4*x^2-14*x-3,-2*x^6+2*x^5+14*x^4-11*x^3-25*x^2+16*x+9,x^6-3*x^5-x^4+11*x^3-15*x^2+2*x+12,2*x^6-6*x^5-8*x^4+29*x^3+3*x^2-24*x,-2*x^6+9*x^5+4*x^4-46*x^3+12*x^2+44*x+3,-x^5+4*x^4+4*x^3-16*x^2-4*x+7,-x^4+x^3+3*x^2-x+3], x^7-3*x^6-4*x^5+15*x^4+x^3-14*x^2+1];
E[319,5]=[[x,-1/9*x^7-1/9*x^6+16/9*x^5+10/9*x^4-26/3*x^3-25/9*x^2+113/9*x+14/9,4/9*x^7-2/9*x^6-49/9*x^5+17/9*x^4+56/3*x^3-26/9*x^2-143/9*x+13/9,-2/9*x^7-1/3*x^6+3*x^5+34/9*x^4-12*x^3-98/9*x^2+13*x+29/9,-1,2/3*x^7-2/9*x^6-73/9*x^5+16/9*x^4+86/3*x^3-2*x^2-254/9*x-13/9,1/3*x^6-1/3*x^5-8/3*x^4+3*x^3+3*x^2-17/3*x+11/3,1/9*x^7+2/9*x^6-20/9*x^5-8/3*x^4+37/3*x^3+64/9*x^2-148/9*x-2/3,-4/9*x^7-5/9*x^6+50/9*x^5+6*x^4-61/3*x^3-139/9*x^2+181/9*x+10/3,1,1/9*x^7-4/3*x^5+4/9*x^4+4*x^3-23/9*x^2-2/3*x+14/9,7/9*x^7-31/3*x^5-8/9*x^4+40*x^3+55/9*x^2-116/3*x-19/9,2/9*x^7+1/3*x^6-3*x^5-43/9*x^4+12*x^3+170/9*x^2-14*x-83/9,-1/9*x^7+7/3*x^5+5/9*x^4-14*x^3-13/9*x^2+65/3*x-59/9,-1/3*x^7+5*x^5+2/3*x^4-22*x^3-13/3*x^2+24*x+7/3,10/9*x^7-5/9*x^6-127/9*x^5+38/9*x^4+161/3*x^3-29/9*x^2-533/9*x-53/9,-7/9*x^7+4/9*x^6+86/9*x^5-10/3*x^4-103/3*x^3+38/9*x^2+316/9*x+2/3,5/9*x^7-4/9*x^6-62/9*x^5+31/9*x^4+70/3*x^3-19/9*x^2-151/9*x-88/9,-1/9*x^6-5/9*x^5+23/9*x^4+16/3*x^3-40/3*x^2-100/9*x+109/9,1/3*x^7+1/9*x^6-40/9*x^5-11/9*x^4+50/3*x^3+11/3*x^2-134/9*x-4/9,-7/9*x^7+31/3*x^5+8/9*x^4-42*x^3-37/9*x^2+158/3*x-35/9,2/3*x^7-8*x^5-4/3*x^4+25*x^3+29/3*x^2-14*x-38/3,-2/9*x^6-1/9*x^5+28/9*x^4+2/3*x^3-32/3*x^2-20/9*x+11/9,-8/9*x^7+35/3*x^5+4/9*x^4-44*x^3-32/9*x^2+124/3*x+95/9,-5/9*x^7+1/3*x^6+16/3*x^5-26/9*x^4-10*x^3+61/9*x^2-19/3*x-28/9], x^8-13*x^6-x^5+50*x^4+7*x^3-54*x^2-5*x+1];
E[323,1]=[[x,x+1,2,-2*x,-2,2,-1,1,-2*x,x+5,x-3,-2*x+6,2*x+6,3*x-5,x+1,10,-2*x-6,-4*x-2,-2*x+2,-8,-4*x+2,4*x+8,5*x+9,-2,3*x+3], x^2+x-4];
E[323,2]=[[x,x^3-2*x^2-4*x+5,-x^3+x^2+3*x-4,-x^3+2*x^2+3*x-8,-2*x^3+4*x^2+7*x-11,-2*x^3+x^2+7*x-4,1,1,3*x^3-8*x^2-9*x+21,2*x^3-x^2-7*x-1,3*x^3-4*x^2-7*x+10,x^3+2*x^2-3*x-12,-x^3+5*x^2-x-13,-x^3-3*x^2+6*x+6,3*x^3-2*x^2-10*x+4,x^3-6*x^2-x+12,-6*x^3+7*x^2+18*x-13,-5*x^3+3*x^2+16*x-8,-3*x^3+6*x^2+8*x-18,-x^3+5*x^2-2*x-15,3*x^3-5*x^2-10*x+7,-3*x^3+6*x^2+14*x-13,4*x^3+3*x^2-15*x-9,x^3-5*x^2+19,5*x^3-7*x^2-21*x+8], x^4-6*x^2-x+7];
E[323,3]=[[x,-x^3-2*x^2+2*x+1,x^4+3*x^3-x^2-6*x-1,x^3+2*x^2-x-2,-2*x^4-6*x^3+2*x^2+9*x-1,-x^2-x-2,-1,-1,x^4+5*x^3+4*x^2-8*x-4,-3*x^4-10*x^3+5*x^2+24*x-4,x^3-2*x^2-9*x+4,4*x^4+11*x^3-8*x^2-21*x+2,-x^3-3*x^2+5*x+7,-2*x^4-7*x^3+5*x^2+20*x-6,5*x^4+15*x^3-6*x^2-29*x+3,x^3-2*x^2-9*x+4,2*x^4+6*x^3-5*x^2-14*x+7,-2*x^4-5*x^3+7*x^2+12*x-12,3*x^4+7*x^3-10*x^2-21*x+5,-3*x^4-7*x^3+9*x^2+19*x,x^4+7*x^3+3*x^2-19*x-2,4*x^4+11*x^3-6*x^2-16*x+3,5*x^4+12*x^3-11*x^2-20*x+2,-x^4-5*x^3-x^2+9*x-12,-5*x^4-17*x^3-x^2+26*x+3], x^5+3*x^4-2*x^3-7*x^2+2*x+1];
E[323,4]=[[x,1/2*x^5-1/2*x^4-4*x^3+5/2*x^2+6*x-1/2,-x^4+x^3+7*x^2-4*x-9,1/2*x^5-1/2*x^4-4*x^3+5/2*x^2+7*x+1/2,1/2*x^5-1/2*x^4-5*x^3+5/2*x^2+11*x+3/2,-x^5+x^4+8*x^3-4*x^2-13*x-1,-1,1,-1/2*x^5-1/2*x^4+4*x^3+11/2*x^2-8*x-21/2,x^4-9*x^2+12,1/2*x^5-1/2*x^4-4*x^3+9/2*x^2+5*x-11/2,-x^3+3*x+2,x^5-x^4-7*x^3+6*x^2+7*x-6,x^5-x^4-7*x^3+6*x^2+6*x-1,-x^5+2*x^4+5*x^3-13*x^2+x+18,x^3+2*x^2-5*x-12,-2*x^5+18*x^3+5*x^2-36*x-21,x^3-x^2-6*x+8,3*x^4-3*x^3-24*x^2+17*x+35,1/2*x^5+1/2*x^4-6*x^3-5/2*x^2+17*x-3/2,x^4-x^3-11*x^2+7*x+26,1/2*x^5-1/2*x^4-4*x^3+5/2*x^2+8*x-5/2,-x^5+2*x^4+6*x^3-8*x^2-4*x-3,2*x^5+x^4-19*x^3-13*x^2+41*x+30,-2*x^5+x^4+19*x^3-3*x^2-40*x-7], x^6-2*x^5-9*x^4+15*x^3+23*x^2-23*x-21];
E[323,5]=[[x,1/2*x^6-1/2*x^5-5*x^4+7/2*x^3+13*x^2-7/2*x-5,x^6-10*x^4+26*x^2+x-10,-x^3+5*x,-x^6+11*x^4+x^3-33*x^2-6*x+18,-x^2-x+6,1,-1,-x^4+x^3+6*x^2-4*x-4,3/2*x^6-1/2*x^5-15*x^4+7/2*x^3+39*x^2-5/2*x-15,-3/2*x^6+1/2*x^5+14*x^4-9/2*x^3-32*x^2+11/2*x+13,-3*x^6+x^5+30*x^4-6*x^3-78*x^2+36,-3*x^6+2*x^5+31*x^4-14*x^3-82*x^2+12*x+32,-2*x^6+x^5+19*x^4-7*x^3-44*x^2+4*x+13,x^6-x^5-9*x^4+8*x^3+20*x^2-12*x-9,-3*x^6+x^5+32*x^4-6*x^3-90*x^2+38,-x^6+9*x^4-x^3-20*x^2+7*x+6,-x^6-x^5+10*x^4+8*x^3-29*x^2-11*x+22,3*x^6-2*x^5-32*x^4+12*x^3+89*x^2-4*x-34,2*x^6-21*x^4-x^3+59*x^2+7*x-30,-4*x^6+2*x^5+41*x^4-13*x^3-107*x^2+5*x+42,-x^6+7*x^4-7*x^2-3*x-6,-2*x^6+x^5+18*x^4-8*x^3-40*x^2+8*x+13,2*x^6-19*x^4+x^3+45*x^2-x-18,5/2*x^6-1/2*x^5-26*x^4+7/2*x^3+70*x^2+9/2*x-25], x^7-x^6-10*x^5+9*x^4+26*x^3-19*x^2-12*x+8];
E[323,6]=[[0,3,-2,4,-2,6,-1,1,0,-9,-9,2,-6,-1,-3,2,14,-6,-14,16,-2,8,-3,2,-7], x-1];
E[341,1]=[[-x-1,-1,x,3*x+5,1,-4*x-7,-2*x-5,-2*x-8,-2*x-4,0,1,2*x+1,5*x+12,x-7,5*x+3,-5*x-6,2*x+3,-5*x-13,-7,-5*x-13,6*x+13,-5,-x+10,-7*x-13,-8*x-4], x^2+3*x+1];
E[341,2]=[[-1/4*x^3+1/2*x^2+3/2*x-7/4,1/2*x^3-4*x-5/2,x,-1/2*x^3+3*x+1/2,-1,-1/2*x^3+4*x+1/2,-3/2*x^3+10*x+11/2,1/2*x^3-4*x-11/2,3/2*x^3-x^2-11*x-3/2,-1/2*x^3+x^2+x-11/2,-1,2*x^3-x^2-11*x-2,-x^3+7*x+3,-7/2*x^3+3*x^2+22*x-3/2,-x^3+2*x^2+3*x-4,2*x^3-3*x^2-8*x+11,7/2*x^3-x^2-23*x-17/2,-3/2*x^3+3*x^2+8*x-19/2,-x^3+x^2+7*x-3,-3/2*x^3+9*x+15/2,4*x^3-x^2-23*x-10,9/2*x^3-4*x^2-28*x-1/2,4*x^3-3*x^2-26*x-3,-1/2*x^3-x^2+11/2,-3*x^2-x+13], x^4+x^3-8*x^2-11*x+1];
E[341,3]=[[83/2282*x^7+361/1141*x^6-235/1141*x^5-5625/1141*x^4-8047/2282*x^3+24985/2282*x^2+7491/1141*x-3786/1141,-20/1141*x^7-64/1141*x^6+127/1141*x^5+855/1141*x^4+2104/1141*x^3-1374/1141*x^2-4160/1141*x+2182/1141,x,-79/2282*x^7-481/2282*x^6+901/2282*x^5+3828/1141*x^4+1693/2282*x^3-9959/1141*x^2-3652/1141*x+13297/2282,-1,-243/2282*x^7-617/1141*x^6+2627/2282*x^5+9045/1141*x^4+6623/2282*x^3-31413/2282*x^2-12891/2282*x+10195/2282,247/2282*x^7+1475/2282*x^6-1098/1141*x^5-10842/1141*x^4-12977/2282*x^3+18240/1141*x^2+20569/2282*x-2235/1141,-229/2282*x^7-961/2282*x^6+1212/1141*x^5+6749/1141*x^4+8345/2282*x^3-8836/1141*x^2-21389/2282*x+1139/1141,4/1141*x^7+241/1141*x^6+431/1141*x^5-3594/1141*x^4-6354/1141*x^3+6208/1141*x^2+8819/1141*x-2262/1141,-411/2282*x^7-1114/1141*x^6+5063/2282*x^5+17200/1141*x^4+1933/2282*x^3-75359/2282*x^2-11323/2282*x+18483/2282,1,5/163*x^7+16/163*x^6+9/163*x^5-173/163*x^4-1178/163*x^3-227/163*x^2+2344/163*x+677/163,-4/163*x^7-78/163*x^6-105/163*x^5+1149/163*x^4+2116/163*x^3-1807/163*x^2-2788/163*x+306/163,-29/1141*x^7-321/1141*x^6+13/1141*x^5+4948/1141*x^4+4420/1141*x^3-9637/1141*x^2-1468/1141*x+3278/1141,-268/1141*x^7-1314/1141*x^6+3071/1141*x^5+19444/1141*x^4+4689/1141*x^3-35983/1141*x^2-6681/1141*x+7788/1141,-12/1141*x^7+418/1141*x^6+989/1141*x^5-6333/1141*x^4-10604/1141*x^3+9901/1141*x^2+8914/1141*x-60/1141,160/1141*x^7+512/1141*x^6-2157/1141*x^5-7981/1141*x^4+283/1141*x^3+22402/1141*x^2+8178/1141*x-11751/1141,585/2282*x^7+3013/2282*x^6-7423/2282*x^5-22916/1141*x^4+1213/2282*x^3+47764/1141*x^2+367/1141*x-19895/2282,18/163*x^7+188/163*x^6+65/163*x^5-2807/163*x^4-4143/163*x^3+5116/163*x^2+6352/163*x-2029/163,-422/1141*x^7-2035/1141*x^6+5304/1141*x^5+31162/1141*x^4+1721/1141*x^3-68470/1141*x^2-18175/1141*x+19569/1141,-291/2282*x^7-703/2282*x^6+1580/1141*x^5+4366/1141*x^4+12129/2282*x^3-2180/1141*x^2-38849/2282*x-157/1141,283/1141*x^7+1362/1141*x^6-2881/1141*x^5-20941/1141*x^4-11972/1141*x^3+50135/1141*x^2+33762/1141*x-19123/1141,424/1141*x^7+1585/1141*x^6-5659/1141*x^5-23831/1141*x^4+1948/1141*x^3+51036/1141*x^2+9463/1141*x-13854/1141,-374/1141*x^7-1425/1141*x^6+4771/1141*x^5+19982/1141*x^4+779/1141*x^3-25922/1141*x^2-7050/1141*x-10998/1141,298/1141*x^7+1410/1141*x^6-3832/1141*x^5-21297/1141*x^4+142/1141*x^3+41467/1141*x^2+9498/1141*x-1933/1141], x^8+5*x^7-12*x^6-77*x^5-11*x^4+176*x^3+35*x^2-77*x+9];
E[341,4]=[[-17231869/238511964*x^10+2959604/59627991*x^9+211058013/79503988*x^8-366800911/238511964*x^7-4118838803/119255982*x^6+2855931311/238511964*x^5+47802585967/238511964*x^4-2100871747/119255982*x^3-59187163817/119255982*x^2-12610347301/238511964*x+42085043485/119255982,-14435227/119255982*x^10+2006533/19875997*x^9+174963325/39751994*x^8-375404371/119255982*x^7-1120325712/19875997*x^6+3100385441/119255982*x^5+38282996387/119255982*x^4-3259898681/59627991*x^3-15466921429/19875997*x^2-6048639181/119255982*x+10681107173/19875997,x,2230445/39751994*x^10-2041285/59627991*x^9-41173040/19875997*x^8+44172427/39751994*x^7+3224242489/119255982*x^6-371214581/39751994*x^5-9306127999/59627991*x^4+2149119793/119255982*x^3+45439257013/119255982*x^2+596650927/19875997*x-15834430588/59627991,1,-12163796/59627991*x^10+19165495/119255982*x^9+148012993/19875997*x^8-297545720/59627991*x^7-11435398169/119255982*x^6+4803481991/119255982*x^5+21833376311/39751994*x^4-1489222576/19875997*x^3-159669291119/119255982*x^2-13844475043/119255982*x+55505815745/59627991,47116/59627991*x^10+862346/59627991*x^9-655632/19875997*x^8-55815241/119255982*x^7+63210283/119255982*x^6+295356532/59627991*x^5-69092718/19875997*x^4-809580699/39751994*x^3+558684398/59627991*x^2+3200443241/119255982*x-643097737/59627991,16412461/59627991*x^10-11520796/59627991*x^9-200570303/19875997*x^8+715348919/119255982*x^7+15594733465/119255982*x^6-2817607955/59627991*x^5-14992697474/19875997*x^4+3014104377/39751994*x^3+110542840946/59627991*x^2+21740636495/119255982*x-77864185165/59627991,-4573667/39751994*x^10+4635844/59627991*x^9+166745833/39751994*x^8-97680375/39751994*x^7-3212571320/59627991*x^6+793555235/39751994*x^5+36544520243/119255982*x^4-2222734472/59627991*x^3-44041710224/59627991*x^2-2280426297/39751994*x+30406576801/59627991,-10940036/59627991*x^10+17024527/119255982*x^9+132543205/19875997*x^8-265890332/59627991*x^7-10183154339/119255982*x^6+4341227423/119255982*x^5+19321079317/39751994*x^4-1435718715/19875997*x^3-140299812245/119255982*x^2-10502047699/119255982*x+48270729461/59627991,-1,10147378/59627991*x^10-2246898/19875997*x^9-125124209/19875997*x^8+212843008/59627991*x^7+1639837734/19875997*x^6-1715401508/59627991*x^5-28652710556/59627991*x^4+2802706660/59627991*x^3+23609866744/19875997*x^2+7078608169/59627991*x-16673554116/19875997,5364071/19875997*x^10-3448558/19875997*x^9-198364969/19875997*x^8+108141621/19875997*x^7+2598789054/19875997*x^6-853964376/19875997*x^5-15132059570/19875997*x^4+1279561122/19875997*x^3+37400625301/19875997*x^2+3839290217/19875997*x-26453390136/19875997,35818295/119255982*x^10-14484439/59627991*x^9-433967369/39751994*x^8+902044613/119255982*x^7+8334957041/59627991*x^6-7368635713/119255982*x^5-31642012503/39751994*x^4+2454099051/19875997*x^3+114944405156/59627991*x^2+17238411893/119255982*x-78795374203/59627991,-11336345/59627991*x^10+2487230/19875997*x^9+139772361/19875997*x^8-235159379/59627991*x^7-1831627998/19875997*x^6+1884699832/59627991*x^5+32013329785/59627991*x^4-2997976403/59627991*x^3-26423671247/19875997*x^2-8002237460/59627991*x+18709025308/19875997,4737821/59627991*x^10-5444203/59627991*x^9-56384084/19875997*x^8+167752829/59627991*x^7+2113492109/59627991*x^6-1420632913/59627991*x^5-11786089412/59627991*x^4+3480498319/59627991*x^3+28069374506/59627991*x^2+790394600/59627991*x-18624432838/59627991,65501693/119255982*x^10-7944169/19875997*x^9-802978565/39751994*x^8+1492895471/119255982*x^7+5219724032/19875997*x^6-12092071189/119255982*x^5-180942030139/119255982*x^4+10846070038/59627991*x^3+73958241298/19875997*x^2+40141109273/119255982*x-51563334765/19875997,-21279271/119255982*x^10+2183025/19875997*x^9+130723736/19875997*x^8-405706753/119255982*x^7-3412384405/39751994*x^6+3068253755/119255982*x^5+29722614691/59627991*x^4-3433607113/119255982*x^3-48950400157/39751994*x^2-9062107436/59627991*x+17284323244/19875997,-13872289/59627991*x^10+10037845/59627991*x^9+168530439/19875997*x^8-311752198/59627991*x^7-6495739415/59627991*x^6+2475180164/59627991*x^5+12354985519/19875997*x^4-1423514236/19875997*x^3-89814084314/59627991*x^2-8266056517/59627991*x+62239891378/59627991,12348545/39751994*x^10-3974757/19875997*x^9-455450279/39751994*x^8+249125887/39751994*x^7+2971863975/19875997*x^6-1962995591/39751994*x^5-34443207493/39751994*x^4+1461125872/19875997*x^3+42360187404/19875997*x^2+8869222503/39751994*x-29805456069/19875997,25250197/119255982*x^10-7456945/59627991*x^9-310280023/39751994*x^8+234199355/59627991*x^7+12140686213/119255982*x^6-3605290469/119255982*x^5-70257242479/119255982*x^4+4266059723/119255982*x^3+86266970939/59627991*x^2+10345536911/59627991*x-60719957884/59627991,-83123/119255982*x^10-1861297/59627991*x^9+2494795/39751994*x^8+120892933/119255982*x^7-94727104/59627991*x^6-1269433349/119255982*x^5+1734324473/119255982*x^4+2582896861/59627991*x^3-3121509505/59627991*x^2-7000501367/119255982*x+3562080809/59627991,29915314/59627991*x^10-21386720/59627991*x^9-365158000/19875997*x^8+665491672/59627991*x^7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x^11-3*x^10-35*x^9+106*x^8+423*x^7-1261*x^6-2318*x^5+6533*x^4+5956*x^3-14599*x^2-6045*x+10618];
E[377,1]=[[1,0,-2,0,-4,1,2,-4,8,1,-8,2,-10,-8,8,6,12,6,12,-16,-10,-12,-12,-10,14], x-1];
E[377,2]=[[x,x+1,-2*x,x+3,2,-1,-2*x-4,-2*x,2*x+2,1,-2*x+4,-4*x+2,-2,-x+3,-2*x,2*x+2,-3*x-9,-2*x+4,x+7,-x-11,4*x,5*x+5,-3*x+3,4*x-2,-4*x+6], x^2-3];
E[377,3]=[[x,x^3-3*x,-x^3-2*x^2+2*x+3,-x^4-x^3+4*x^2+2*x-5,x^3+3*x^2-2*x-5,-1,2*x^4+x^3-5*x^2-2,3*x^4+3*x^3-11*x^2-7*x+6,-2*x^4-x^3+6*x^2-x-3,-1,x^2+4*x-2,-2*x^4-5*x^3+4*x^2+12*x,-3*x^4-7*x^3+8*x^2+16*x-3,-2*x^4-2*x^3+7*x^2+4*x-9,2*x^4+6*x^3-6*x^2-15*x+2,2*x^4-3*x^3-13*x^2+10*x+13,2*x^4+5*x^3-4*x^2-16*x,-x^4-7*x^3-2*x^2+18*x+7,x^4+2*x^3-4*x^2-6*x,-4*x^4+2*x^3+17*x^2-8*x-9,-x^4+3*x^2-6*x+4,-x^4-5*x^3+2*x^2+15*x-7,3*x^4+4*x^3-4*x^2-7*x-4,-2*x^4-2*x^3+4*x^2+4*x+9,-x^4+5*x^3+10*x^2-11*x-9], x^5+x^4-5*x^3-3*x^2+6*x+1];
E[377,4]=[[x,-x^6+2*x^5+8*x^4-15*x^3-7*x^2+8*x+1,-x^6+2*x^5+8*x^4-15*x^3-7*x^2+9*x,4*x^6-3*x^5-40*x^4+16*x^3+83*x^2+28*x-6,-5*x^6+5*x^5+49*x^4-32*x^3-97*x^2-13*x+11,-1,3*x^6-2*x^5-30*x^4+9*x^3+62*x^2+29*x-1,4*x^6-4*x^5-39*x^4+25*x^3+75*x^2+15*x-6,-6*x^6+5*x^5+59*x^4-28*x^3-117*x^2-39*x+8,1,4*x^6-5*x^5-37*x^4+33*x^3+62*x^2+8*x-5,5*x^6-3*x^5-51*x^4+12*x^3+110*x^2+51*x-4,-11*x^6+9*x^5+108*x^4-50*x^3-212*x^2-75*x+7,-3*x^6+4*x^5+26*x^4-26*x^3-32*x^2-11*x-6,-7*x^6+7*x^5+67*x^4-43*x^3-122*x^2-32*x,-3*x^6+x^5+33*x^4-4*x^3-85*x^2-19*x+17,-8*x^6+9*x^5+75*x^4-58*x^3-129*x^2-22*x+3,-3*x^6+5*x^5+26*x^4-34*x^3-34*x^2-x+1,3*x^6-3*x^5-28*x^4+19*x^3+48*x^2+11*x-2,15*x^6-16*x^5-142*x^4+100*x^3+252*x^2+59*x-2,10*x^6-14*x^5-89*x^4+96*x^3+129*x^2+2*x,-3*x^6+2*x^5+31*x^4-9*x^3-69*x^2-30*x+14,-2*x^6-4*x^5+27*x^4+40*x^3-90*x^2-79*x,14*x^6-11*x^5-139*x^4+59*x^3+285*x^2+102*x-32,2*x^6-4*x^5-17*x^4+33*x^3+22*x^2-35*x-9], x^7-3*x^6-8*x^5+26*x^4+9*x^3-36*x^2-14*x+3];
E[377,5]=[[x,-2*x^4-5*x^3+8*x^2+21*x+6,2*x^4+5*x^3-8*x^2-22*x-7,x^4+3*x^3-4*x^2-14*x-7,-x^3-x^2+4*x+1,1,-2*x^4-3*x^3+11*x^2+12*x-2,x^4+3*x^3-3*x^2-11*x-8,-x^3+5*x-3,1,-x^2,2*x^4+3*x^3-12*x^2-12*x,-5*x^4-13*x^3+20*x^2+58*x+21,-4*x^4-8*x^3+19*x^2+36*x+5,6*x^4+14*x^3-26*x^2-59*x-18,-6*x^4-13*x^3+27*x^2+52*x+9,2*x^4+3*x^3-14*x^2-12*x+12,-x^4-3*x^3+6*x^2+14*x-3,x^4+4*x^3-2*x^2-14*x-12,2*x^4+6*x^3-7*x^2-26*x-5,5*x^4+12*x^3-21*x^2-54*x-22,-3*x^4-3*x^3+16*x^2+9*x-3,-9*x^4-22*x^3+38*x^2+95*x+26,-6*x^4-12*x^3+26*x^2+46*x+13,x^4-x^3-6*x^2+7*x-1], x^5+3*x^4-3*x^3-13*x^2-8*x-1];
E[377,6]=[[x,3/4*x^8-37/4*x^6+133/4*x^4-1/4*x^3-31*x^2-17/4*x+7/4,1/2*x^8-13/2*x^6+51/2*x^4-1/2*x^3-29*x^2-1/2*x+9/2,-1/4*x^8-1/2*x^7+13/4*x^6+6*x^5-51/4*x^4-83/4*x^3+15*x^2+75/4*x+5/4,-1/2*x^8+13/2*x^6-x^5-49/2*x^4+15/2*x^3+23*x^2-11/2*x-3/2,1,-1/2*x^8+13/2*x^6-51/2*x^4+1/2*x^3+28*x^2+1/2*x-3/2,-x^4+x^3+7*x^2-5*x-4,-1/2*x^8+11/2*x^6+x^5-33/2*x^4-13/2*x^3+9*x^2+17/2*x+15/2,-1,x^5-x^4-7*x^3+4*x^2+6*x+5,-3/2*x^8+39/2*x^6-x^5-151/2*x^4+17/2*x^3+82*x^2-9/2*x-23/2,1/2*x^8-13/2*x^6+x^5+51/2*x^4-15/2*x^3-30*x^2+11/2*x+15/2,-5/4*x^8+x^7+63/4*x^6-12*x^5-227/4*x^4+159/4*x^3+46*x^2-77/4*x-1/4,x^8+x^7-13*x^6-11*x^5+48*x^4+35*x^3-40*x^2-39*x-6,-1/2*x^8+13/2*x^6-x^5-49/2*x^4+15/2*x^3+25*x^2-11/2*x-15/2,-5/4*x^8-1/2*x^7+65/4*x^6+6*x^5-251/4*x^4-87/4*x^3+67*x^2+119/4*x-27/4,3/2*x^8+x^7-37/2*x^6-11*x^5+129/2*x^4+69/2*x^3-50*x^2-83/2*x-17/2,-3/4*x^8+1/2*x^7+35/4*x^6-6*x^5-113/4*x^4+83/4*x^3+20*x^2-43/4*x-1/4,-1/4*x^8+1/2*x^7+13/4*x^6-5*x^5-51/4*x^4+49/4*x^3+14*x^2-1/4*x-15/4,x^8-13*x^6+2*x^5+48*x^4-15*x^3-39*x^2+11*x-1,-7/4*x^8-x^7+85/4*x^6+12*x^5-293/4*x^4-159/4*x^3+59*x^2+173/4*x+29/4,1/4*x^8+1/2*x^7-13/4*x^6-7*x^5+55/4*x^4+107/4*x^3-22*x^2-79/4*x+27/4,3/2*x^8+x^7-39/2*x^6-11*x^5+147/2*x^4+71/2*x^3-69*x^2-93/2*x-3/2,3/2*x^8-37/2*x^6+135/2*x^4+1/2*x^3-70*x^2-27/2*x+25/2], x^9-x^8-13*x^7+13*x^6+51*x^5-50*x^4-59*x^3+45*x^2+20*x-3];
E[391,1]=[[x,-2,-x^2+2,-x,-x^2-x+3,2*x^2-x-6,-1,2*x^2+2*x-6,-1,2*x^2-10,2*x-2,-3*x^2-x+7,-8,4*x+2,-x^2+3*x+7,4*x^2+2*x-14,-3*x^2-6*x+10,-2*x^2-x+10,4*x^2-2*x-14,2*x^2-12,-4*x^2+2*x+16,-x^2+2*x-2,-2*x^2+12,4*x-4,7*x^2-3*x-23], x^3+x^2-4*x-3];
E[391,2]=[[x,0,-x^2-2*x+2,-x-2,x^2+3*x-3,2*x^2+3*x-6,1,-2*x^2-4*x+4,1,2*x-2,4*x^2+8*x-12,3*x^2+3*x-7,-2*x^2-4*x+2,-2*x^2-6*x,-5*x^2-5*x+15,-4*x^2-6*x+4,x^2+2*x-6,-6*x^2-5*x+16,-4*x^2-4*x+14,-4*x^2-8*x+12,6*x^2+8*x-14,-5*x^2-8*x+14,4*x^2+2*x-6,2*x^2-4*x-16,-3*x^2+x+11], x^3+x^2-4*x+1];
E[391,3]=[[x,-1/4*x^8+1/4*x^7+7/2*x^6-5/2*x^5-33/2*x^4+7*x^3+57/2*x^2-19/4*x-47/4,-1/4*x^8+1/4*x^7+13/4*x^6-11/4*x^5-55/4*x^4+35/4*x^3+85/4*x^2-13/2*x-9,-1/4*x^7+1/4*x^6+13/4*x^5-11/4*x^4-47/4*x^3+31/4*x^2+33/4*x-5/2,1/4*x^8-15/4*x^6+1/4*x^5+73/4*x^4-9/4*x^3-125/4*x^2+9/2*x+57/4,-x^8+3/2*x^7+12*x^6-16*x^5-43*x^4+47*x^3+43*x^2-26*x-23/2,-1,1/2*x^8-1/4*x^7-27/4*x^6+9/4*x^5+117/4*x^4-19/4*x^3-177/4*x^2+3/4*x+37/2,1,-3/4*x^8+3/4*x^7+37/4*x^6-31/4*x^5-131/4*x^4+83/4*x^3+105/4*x^2-7*x+3/2,1/2*x^8-1/4*x^7-27/4*x^6+9/4*x^5+117/4*x^4-19/4*x^3-169/4*x^2-5/4*x+25/2,3/4*x^8-1/2*x^7-39/4*x^6+17/4*x^5+161/4*x^4-29/4*x^3-221/4*x^2-5*x+83/4,7/4*x^8-2*x^7-23*x^6+21*x^5+95*x^4-119/2*x^3-257/2*x^2+113/4*x+51,-3/2*x^8+2*x^7+79/4*x^6-85/4*x^5-329/4*x^4+247/4*x^3+451/4*x^2-137/4*x-169/4,-1/2*x^6+1/2*x^5+11/2*x^4-9/2*x^3-31/2*x^2+13/2*x+15/2,5/4*x^8-5/4*x^7-16*x^6+12*x^5+64*x^4-59/2*x^3-83*x^2+33/4*x+129/4,1/2*x^7-5*x^5-x^4+13*x^3+6*x^2-5*x-15/2,-3/2*x^8+7/4*x^7+75/4*x^6-73/4*x^5-289/4*x^4+207/4*x^3+349/4*x^2-99/4*x-28,3/4*x^8-3/2*x^7-39/4*x^6+69/4*x^5+153/4*x^4-221/4*x^3-169/4*x^2+37*x+47/4,3/2*x^8-9/4*x^7-18*x^6+24*x^5+66*x^4-71*x^3-147/2*x^2+39*x+93/4,x^8-x^7-53/4*x^6+39/4*x^5+227/4*x^4-105/4*x^3-341/4*x^2+81/4*x+143/4,1/4*x^8-3/4*x^7-11/4*x^6+29/4*x^5+41/4*x^4-81/4*x^3-55/4*x^2+19*x+2,-x^8+1/2*x^7+55/4*x^6-21/4*x^5-233/4*x^4+59/4*x^3+291/4*x^2-31/4*x-51/4,-1/2*x^8+7/4*x^7+11/2*x^6-37/2*x^5-33/2*x^4+105/2*x^3+6*x^2-49/2*x+27/4,5/4*x^8-x^7-63/4*x^6+41/4*x^5+249/4*x^4-121/4*x^3-317/4*x^2+39/2*x+101/4], x^9-2*x^8-12*x^7+23*x^6+43*x^5-79*x^4-43*x^3+78*x^2+11*x-21];
E[391,4]=[[x,1,-2*x-2,2*x,-4,-1,-1,2,-1,-2*x-5,-4*x+1,8*x+4,6*x+1,-2*x+2,-2*x-9,4*x+2,4,4*x+2,-6*x+2,4*x-7,-6*x-9,-6*x,-4*x-2,4*x-4,-10*x-4], x^2+x-1];
E[391,5]=[[x,-9/14*x^11+12/7*x^10+19/2*x^9-181/7*x^8-89/2*x^7+888/7*x^6+460/7*x^5-429/2*x^4-30/7*x^3+867/14*x^2+7*x+9/14,-1/14*x^11-9/14*x^10+3*x^9+141/14*x^8-69/2*x^7-368/7*x^6+1084/7*x^5+205/2*x^4-3677/14*x^3-443/7*x^2+201/2*x+379/14,3/14*x^11-1/14*x^10-9/2*x^9+9/7*x^8+35*x^7-58/7*x^6-851/7*x^5+43/2*x^4+2435/14*x^3-191/14*x^2-60*x-82/7,13/7*x^11-39/14*x^10-33*x^9+295/7*x^8+425/2*x^7-1464/7*x^6-4230/7*x^5+366*x^4+10195/14*x^3-795/7*x^2-256*x-635/14,15/7*x^11-40/7*x^10-32*x^9+608/7*x^8+153*x^7-3030/7*x^6-1678/7*x^5+764*x^4+303/7*x^3-2012/7*x^2-22*x+97/7,1,-15/14*x^11+75/14*x^10+19/2*x^9-570/7*x^8+22*x^7+2838/7*x^6-2577/7*x^5-1433/2*x^4+11569/14*x^3+4161/14*x^2-279*x-521/7,-1,-55/14*x^11+121/14*x^10+63*x^9-1835/14*x^8-693/2*x^7+4561/7*x^6+5384/7*x^5-2289/2*x^4-9259/14*x^3+2837/7*x^2+503/2*x+391/14,-89/14*x^11+221/14*x^10+195/2*x^9-1674/7*x^8-493*x^7+8296/7*x^6+6351/7*x^5-4127/2*x^4-6737/14*x^3+9913/14*x^2+209*x+90/7,x^11-11/2*x^10-8*x^9+84*x^8-67/2*x^7-422*x^6+408*x^5+762*x^4-1781/2*x^3-346*x^2+321*x+175/2,-6/7*x^11+16/7*x^10+25/2*x^9-485/14*x^8-113/2*x^7+1205/7*x^6+499/7*x^5-304*x^4+219/7*x^3+1695/14*x^2-41/2*x-163/14,16/7*x^11-111/14*x^10-59/2*x^9+1683/14*x^8+93*x^7-4177/7*x^6+648/7*x^5+1047*x^4-7867/14*x^3-5619/14*x^2+377/2*x+404/7,-15/7*x^11+26/7*x^10+37*x^9-391/7*x^8-229*x^7+1910/7*x^6+4331/7*x^5-455*x^4-5000/7*x^3+696/7*x^2+277*x+379/7,85/14*x^11-104/7*x^10-187/2*x^9+1578/7*x^8+953/2*x^7-7850/7*x^6-6250/7*x^5+3949/2*x^4+3480/7*x^3-10111/14*x^2-198*x-29/14,-17/7*x^11+71/7*x^10+27*x^9-1082/7*x^8-33*x^7+5415/7*x^6-2974/7*x^5-1383*x^4+8191/7*x^3+4125/7*x^2-411*x-823/7,-55/14*x^11+163/14*x^10+111/2*x^9-1236/7*x^8-233*x^7+6136/7*x^6+1457/7*x^5-3071/2*x^4+4335/14*x^3+7977/14*x^2-79*x-368/7,-19/7*x^11+127/14*x^10+36*x^9-968/7*x^8-251/2*x^7+4846/7*x^6-227/7*x^5-1234*x^4+7337/14*x^3+3473/7*x^2-163*x-907/14,-29/14*x^11+41/7*x^10+30*x^9-1245/14*x^8-134*x^7+3097/7*x^6+1147/7*x^5-1557/2*x^4+552/7*x^3+2035/7*x^2-69/2*x-122/7,-55/7*x^11+277/14*x^10+239/2*x^9-4195/14*x^8-594*x^7+10389/7*x^6+7310/7*x^5-2582*x^4-6359/14*x^3+12475/14*x^2+391/2*x-15/7,103/14*x^11-263/14*x^10-111*x^9+3985/14*x^8+1085/2*x^7-9878/7*x^6-6372/7*x^5+4921/2*x^4+4413/14*x^3-6031/7*x^2-331/2*x+121/14,-27/7*x^11+165/14*x^10+107/2*x^9-2501/14*x^8-214*x^7+6203/7*x^6+926/7*x^5-1550*x^4+5989/14*x^3+8023/14*x^2-231/2*x-393/7,-9/2*x^11+11*x^10+70*x^9-335/2*x^8-364*x^7+839*x^6+717*x^5-3007/2*x^4-468*x^3+603*x^2+359/2*x-6,39/7*x^11-215/14*x^10-82*x^9+1634/7*x^8+759/2*x^7-8144/7*x^6-3716/7*x^5+2054*x^4-817/14*x^3-5416/7*x^2+23*x+559/14], x^12-4*x^11-12*x^10+62*x^9+27*x^8-321*x^7+108*x^6+625*x^5-362*x^4-372*x^3+116*x^2+97*x+13];
E[403,1]=[[x,-2,2*x-3,1,-4*x+6,1,-2*x+6,1,2*x-6,2*x,-1,-6*x+6,-2*x+3,-6*x+4,-8*x+12,-2*x+12,-4*x+3,6*x-2,-8,3,14,4,8*x-6,-2*x,6*x-7], x^2-3*x+1];
E[403,2]=[[x,x^5-3*x^4-3*x^3+13*x^2-6*x,-x^5+2*x^4+5*x^3-9*x^2-2*x+4,x^4-2*x^3-5*x^2+8*x+2,-x^6+3*x^5+3*x^4-14*x^3+7*x^2+5*x-1,-1,-x^5+4*x^4+x^3-17*x^2+14*x,-x^6+4*x^5+2*x^4-20*x^3+10*x^2+10*x,-x^6+4*x^5+2*x^4-19*x^3+9*x^2+4*x+4,x^6-4*x^5+x^4+13*x^3-23*x^2+19*x-2,1,-2*x^5+5*x^4+9*x^3-22*x^2-x+7,-x^6+4*x^5+x^4-16*x^3+14*x^2-9*x+2,x^5-4*x^4-x^3+20*x^2-16*x-8,3*x^5-8*x^4-13*x^3+39*x^2-x-16,-3*x^4+5*x^3+14*x^2-22*x+4,3*x^6-8*x^5-14*x^4+42*x^3+4*x^2-35*x-2,-2*x^6+6*x^5+9*x^4-31*x^3-x^2+20*x,x^6-3*x^5-3*x^4+13*x^3-7*x^2-x-2,x^6+x^5-15*x^4-2*x^3+50*x^2-13*x-14,4*x^6-12*x^5-17*x^4+62*x^3-2*x^2-40*x-1,x^6-3*x^5-x^4+10*x^3-17*x^2+14*x+2,2*x^6-9*x^5+3*x^4+37*x^3-53*x^2+11*x+8,x^6-4*x^5+18*x^3-23*x^2-x+15,-x^6+3*x^5+2*x^4-16*x^3+13*x^2+15*x-4], x^7-2*x^6-9*x^5+17*x^4+20*x^3-37*x^2+x+4];
E[403,3]=[[x,-x^5-x^4+7*x^3+5*x^2-10*x-4,-x^7+10*x^5-x^4-29*x^3+25*x+8,2*x^6+2*x^5-15*x^4-10*x^3+25*x^2+10*x-2,x^6+x^5-7*x^4-4*x^3+11*x^2+x-3,1,x^7-10*x^5+x^4+27*x^3-2*x^2-17*x,-x^7-x^6+9*x^5+7*x^4-22*x^3-15*x^2+13*x+8,x^7-x^6-11*x^5+9*x^4+35*x^3-16*x^2-33*x,-x^7-x^6+7*x^5+4*x^4-9*x^3-6*x-2,-1,-2*x^6-2*x^5+15*x^4+9*x^3-26*x^2-5*x+5,x^7+x^6-7*x^5-6*x^4+8*x^3+11*x^2+8*x-2,x^5-9*x^3-2*x^2+18*x+8,-2*x^7+21*x^5-63*x^3-9*x^2+51*x+20,-2*x^6-2*x^5+15*x^4+11*x^3-22*x^2-16*x-4,3*x^6+2*x^5-24*x^4-8*x^3+44*x^2+7*x-6,x^7-4*x^6-17*x^5+28*x^4+69*x^3-36*x^2-71*x-16,-x^6+x^5+11*x^4-9*x^3-29*x^2+19*x+14,3*x^6+5*x^5-19*x^4-30*x^3+18*x^2+41*x+14,-2*x^7+18*x^5-5*x^4-42*x^3+18*x^2+18*x-11,-3*x^6-7*x^5+19*x^4+44*x^3-23*x^2-58*x-10,3*x^7+2*x^6-28*x^5-12*x^4+77*x^3+26*x^2-68*x-28,x^6+6*x^5-2*x^4-40*x^3-11*x^2+53*x+13,-2*x^7+3*x^6+27*x^5-20*x^4-100*x^3+17*x^2+105*x+24], x^8+x^7-11*x^6-10*x^5+37*x^4+33*x^3-36*x^2-33*x-4];
E[403,4]=[[x,-x^5-3*x^4+5*x^3+19*x^2+6*x-8,3*x^5+8*x^4-17*x^3-51*x^2-8*x+18,-2*x^5-5*x^4+12*x^3+31*x^2-10,5*x^5+12*x^4-29*x^3-75*x^2-8*x+24,1,-3*x^5-8*x^4+17*x^3+51*x^2+6*x-24,-12*x^5-29*x^4+69*x^3+184*x^2+23*x-67,4*x^5+11*x^4-22*x^3-71*x^2-13*x+27,8*x^5+20*x^4-46*x^3-127*x^2-14*x+45,1,-3*x^4-3*x^3+20*x^2+17*x-13,-14*x^5-34*x^4+81*x^3+214*x^2+26*x-75,7*x^5+20*x^4-37*x^3-128*x^2-32*x+50,-x^5-2*x^4+5*x^3+13*x^2+9*x-6,-2*x^5-5*x^4+11*x^3+30*x^2+6*x-12,16*x^5+39*x^4-93*x^3-246*x^2-26*x+87,12*x^5+29*x^4-71*x^3-185*x^2-14*x+68,-9*x^5-22*x^4+50*x^3+139*x^2+26*x-55,7*x^5+16*x^4-39*x^3-102*x^2-20*x+39,-8*x^5-21*x^4+44*x^3+134*x^2+28*x-55,11*x^5+26*x^4-63*x^3-163*x^2-21*x+53,3*x^5+7*x^4-19*x^3-45*x^2+3*x+18,-12*x^5-33*x^4+67*x^3+211*x^2+34*x-84,11*x^5+25*x^4-65*x^3-155*x^2-10*x+47], x^6+2*x^5-7*x^4-13*x^3+6*x^2+7*x-3];
E[403,5]=[[x,-x^7-3*x^6+6*x^5+19*x^4-12*x^3-36*x^2+8*x+19,-x^5-2*x^4+5*x^3+7*x^2-6*x-6,x^4+2*x^3-3*x^2-4*x,2*x^7+7*x^6-9*x^5-43*x^4+8*x^3+77*x^2+x-37,-1,-x^6-x^5+9*x^4+4*x^3-25*x^2-x+17,-x^6-4*x^5+16*x^3+14*x^2-14*x-16,x^7+4*x^6-3*x^5-22*x^4-2*x^3+32*x^2+8*x-11,-x^7-2*x^6+7*x^5+11*x^4-14*x^3-12*x^2+7*x-5,-1,2*x^7+8*x^6-6*x^5-45*x^4-x^3+74*x^2+5*x-33,x^6-11*x^4-2*x^3+28*x^2+5*x-20,-x^7-6*x^6+35*x^4+11*x^3-59*x^2-7*x+28,-x^7-5*x^6+4*x^5+38*x^4+2*x^3-84*x^2-13*x+47,-x^7-5*x^6+x^5+29*x^4+10*x^3-49*x^2-10*x+19,-3*x^7-11*x^6+11*x^5+61*x^4-6*x^3-95*x^2-2*x+36,-2*x^7-8*x^6+10*x^5+55*x^4-13*x^3-111*x^2+62,2*x^7+7*x^6-9*x^5-41*x^4+11*x^3+69*x^2-5*x-30,3*x^7+10*x^6-18*x^5-69*x^4+35*x^3+145*x^2-23*x-87,-x^7-3*x^6+5*x^5+17*x^4-7*x^3-31*x^2-2*x+22,x^7+4*x^6-8*x^5-33*x^4+21*x^3+72*x^2-16*x-33,2*x^7+7*x^6-9*x^5-44*x^4+10*x^3+91*x^2-4*x-61,-2*x^6-4*x^5+13*x^4+15*x^3-33*x^2-8*x+22,-3*x^7-11*x^6+14*x^5+69*x^4-20*x^3-134*x^2+12*x+76], x^8+5*x^7-30*x^5-24*x^4+54*x^3+54*x^2-28*x-29];
E[407,1]=[[x,x^3+x^2-4*x,-x^3-x^2+3*x,-2*x^3-3*x^2+6*x,-1,x^3+x^2-2*x-2,x^3+3*x^2-x-6,3*x^3+6*x^2-7*x-7,-x^3+5*x-3,x^3-6*x+2,3*x^3+2*x^2-11*x+4,-1,-x^3-x^2+2*x-2,-3*x^3-6*x^2+8*x+4,2*x^3+2*x^2-6*x+1,4*x^3+2*x^2-18*x+3,-3*x^3-7*x^2+2*x+9,-8*x^3-10*x^2+24*x+2,-6*x^3-6*x^2+25*x-1,4*x^3+6*x^2-11*x+2,3*x^3+2*x^2-10*x-5,2*x^3+6*x^2-2*x-1,5*x^2+x-12,-3*x^3-7*x^2+10*x+7,x^2+2*x-10], x^4+x^3-4*x^2+1];
E[407,2]=[[x,-x^3+x^2+2*x-2,x^3-x^2-3*x,-x^2+2,1,-x^3+x^2+2*x-4,-x^3-x^2+3*x,3*x^3-4*x^2-7*x+5,-x^3+4*x^2+x-9,-3*x^3+4*x^2+10*x-6,x^3+x-4,1,-x^3+3*x^2,x^3+6*x^2-4*x-16,2*x^3-6*x^2-2*x+9,-6*x^2+2*x+15,-x^3-5*x^2+10*x+9,2*x^2-10,-4*x^3+2*x^2+9*x-1,2*x^3-2*x^2-11*x+6,-x^3+2*x-7,2*x^3-14*x-1,2*x^3+7*x^2-11*x-12,-x^3+3*x^2-2*x-9,7*x^2-4*x-22], x^4-x^3-4*x^2+2*x+3];
E[407,3]=[[x,-370/249*x^11+52/249*x^10+6619/249*x^9-934/249*x^8-40324/249*x^7+1087/83*x^6+94670/249*x^5+5092/249*x^4-67508/249*x^3-10735/249*x^2+3599/249*x-66/83,142/249*x^11+11/249*x^10-2512/249*x^9-188/249*x^8+15010/249*x^7+704/83*x^6-33614/249*x^5-10396/249*x^4+19526/249*x^3+11563/249*x^2+2806/249*x-164/83,-239/249*x^11+113/249*x^10+4256/249*x^9-2135/249*x^8-25856/249*x^7+4078/83*x^6+61468/249*x^5-22588/249*x^4-49207/249*x^3+12121/249*x^2+8362/249*x-153/83,1,350/249*x^11+18/83*x^10-6250/249*x^9-285/83*x^8+38086/249*x^7+6716/249*x^6-89371/249*x^5-8440/83*x^4+61757/249*x^3+7256/83*x^2-320/249*x+1199/249,157/83*x^11+85/249*x^10-8470/249*x^9-1498/249*x^8+52099/249*x^7+12004/249*x^6-41344/83*x^5-43526/249*x^4+88595/249*x^3+39143/249*x^2-3587/249*x-512/249,-92/83*x^11+56/83*x^10+1631/83*x^9-1025/83*x^8-9830/83*x^7+5772/83*x^6+23147/83*x^5-10580/83*x^4-18885/83*x^3+5384/83*x^2+4227/83*x-143/83,295/249*x^11+55/249*x^10-1752/83*x^9-940/249*x^8+10630/83*x^7+7406/249*x^6-74114/249*x^5-27080/249*x^4+16469/83*x^3+25445/249*x^2+582/83*x-634/249,395/249*x^11+63/83*x^10-7018/249*x^9-1122/83*x^8+42250/249*x^7+23174/249*x^6-95131/249*x^5-22900/83*x^4+51602/249*x^3+19005/83*x^2+13654/249*x-1240/249,-733/249*x^11+14/83*x^10+13196/249*x^9-277/83*x^8-81284/249*x^7+926/249*x^6+194918/249*x^5+6900/83*x^4-146611/249*x^3-8946/83*x^2+13234/249*x-211/249,-1,-201/83*x^11-105/83*x^10+3613/83*x^9+1870/83*x^8-22218/83*x^7-12690/83*x^6+52454/83*x^5+36728/83*x^4-34487/83*x^3-30015/83*x^2-2043/83*x+818/83,-85/249*x^11-2/83*x^10+1589/249*x^9+87/83*x^8-10217/249*x^7-3310/249*x^6+25820/249*x^5+4848/83*x^4-20935/249*x^3-5528/83*x^2+2710/249*x+2117/249,270/83*x^11-143/249*x^10-14488/249*x^9+2693/249*x^8+88564/249*x^7-11852/249*x^6-70416/83*x^5+1186/249*x^4+163154/249*x^3+17009/249*x^2-22202/249*x-1157/249,-631/249*x^11+16/249*x^10+11422/249*x^9-115/249*x^8-70750/249*x^7-1549/83*x^6+170408/249*x^5+36082/249*x^4-127631/249*x^3-41017/249*x^2+11642/249*x+599/83,231/83*x^11-54/83*x^10-4125/83*x^9+1021/83*x^8+25160/83*x^7-5056/83*x^6-59946/83*x^5+4736/83*x^4+46807/83*x^3+1140/83*x^2-6403/83*x-37/83,-19/83*x^11-88/249*x^10+1006/249*x^9+1504/249*x^8-6121/249*x^7-9094/249*x^6+4756/83*x^5+22412/249*x^4-7721/249*x^3-17306/249*x^2-4105/249*x+284/249,-437/249*x^11+17/249*x^10+7685/249*x^9-449/249*x^8-45572/249*x^7+258/83*x^6+101254/249*x^5+10916/249*x^4-59803/249*x^3-14183/249*x^2-5465/249*x-593/83,28/249*x^11+499/249*x^10-139/83*x^9-8800/249*x^8+646/83*x^7+53063/249*x^6+400/249*x^5-123770/249*x^4-7824/83*x^3+86594/249*x^2+8629/83*x-2248/249,448/249*x^11-565/249*x^10-8083/249*x^9+9928/249*x^8+49600/249*x^7-18730/83*x^6-119594/249*x^5+111944/249*x^4+102860/249*x^3-64589/249*x^2-25625/249*x+516/83,-365/249*x^11-265/249*x^10+6506/249*x^9+4597/249*x^8-39557/249*x^7-9822/83*x^6+91042/249*x^5+79454/249*x^4-52147/249*x^3-63065/249*x^2-12887/249*x+895/83,216/83*x^11-99/83*x^10-3869/83*x^9+1775/83*x^8+23606/83*x^7-9380/83*x^6-55868/83*x^5+14382/83*x^4+42224/83*x^3-5463/83*x^2-4421/83*x+195/83,175/249*x^11+92/83*x^10-3125/249*x^9-1595/83*x^8+19292/249*x^7+29254/249*x^6-46304/249*x^5-23974/83*x^4+31003/249*x^3+17738/83*x^2+2081/249*x-3011/249,-427/83*x^11-191/249*x^10+22958/249*x^9+3287/249*x^8-140414/249*x^7-27542/249*x^6+110100/83*x^5+106084/249*x^4-226351/249*x^3-98233/249*x^2-356/249*x+3163/249], x^12-x^11-18*x^10+18*x^9+111*x^8-104*x^7-274*x^6+212*x^5+255*x^4-129*x^3-78*x^2+4*x+1];
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E[451,1]=[[x,-x^4-x^3+6*x^2+3*x-8,-2*x^4-x^3+11*x^2+3*x-12,2*x^4+x^3-12*x^2-4*x+13,-1,3*x^4+x^3-18*x^2-3*x+21,-3*x^4+19*x^2-25,-3*x^4-x^3+17*x^2+2*x-17,3*x^4+3*x^3-15*x^2-8*x+13,2*x^4-x^3-12*x^2+4*x+10,6*x^4+3*x^3-35*x^2-9*x+39,x^4-x^3-10*x^2+4*x+16,-1,-5*x^4-3*x^3+29*x^2+11*x-30,8*x^4+6*x^3-48*x^2-19*x+54,-x^4-2*x^3+3*x^2+4*x-2,-3*x^4+20*x^2+4*x-27,2*x^4+2*x^3-9*x^2-5*x+3,-7*x^4-4*x^3+37*x^2+10*x-36,x^4-3*x^3-7*x^2+13*x+5,7*x^4+4*x^3-36*x^2-13*x+33,-8*x^4-2*x^3+44*x^2+5*x-44,-4*x^4-5*x^3+25*x^2+17*x-30,-10*x^4-8*x^3+57*x^2+23*x-68,-3*x^4-2*x^3+19*x^2+4*x-23], x^5+2*x^4-5*x^3-10*x^2+4*x+9];
E[451,2]=[[x,-x^4-x^3+4*x^2+x-2,-x^3-3*x^2+x+2,2*x^4+3*x^3-6*x^2-4*x+1,1,x^4+3*x^3-5*x-3,-x^4-4*x^3+x^2+8*x-1,x^4+3*x^3+x^2-2*x-5,-x^4-3*x^3+x^2+6*x-1,-x^3-2*x^2+4*x-2,-4*x^4-9*x^3+7*x^2+13*x-3,-3*x^4-3*x^3+14*x^2+2*x-10,1,3*x^4+9*x^3-5*x^2-19*x,-2*x^4-4*x^3+4*x^2+9*x,-5*x^4-12*x^3+7*x^2+18*x-4,x^4+4*x^3-12*x-3,8*x^4+16*x^3-19*x^2-19*x+5,-3*x^4-6*x^3+5*x^2+4*x+6,7*x^4+11*x^3-23*x^2-17*x+11,x^4+6*x^3+4*x^2-9*x-3,-8*x^4-18*x^3+14*x^2+25*x-2,-6*x^4-17*x^3+5*x^2+25*x+4,-4*x^4-8*x^3+9*x^2+5*x-6,7*x^4+16*x^3-15*x^2-24*x+11], x^5+2*x^4-3*x^3-4*x^2+2*x+1];
E[451,3]=[[x,7/2*x^9-12*x^8-28*x^7+117*x^6+89/2*x^5-685/2*x^4+54*x^3+605/2*x^2-74*x-44,1/4*x^9-x^8-3/2*x^7+19/2*x^6-7/4*x^5-105/4*x^4+35/2*x^3+81/4*x^2-27/2*x-2,5/2*x^9-17/2*x^8-20*x^7+83*x^6+63/2*x^5-244*x^4+79/2*x^3+437/2*x^2-105/2*x-33,1,5/2*x^9-8*x^8-21*x^7+77*x^6+81/2*x^5-439/2*x^4+18*x^3+365/2*x^2-40*x-23,-3/4*x^9+3*x^8+11/2*x^7-61/2*x^6-19/4*x^5+383/4*x^4-49/2*x^3-383/4*x^2+47/2*x+18,-19/4*x^9+31/2*x^8+79/2*x^7-301/2*x^6-295/4*x^5+1749/4*x^4-40*x^3-1523/4*x^2+79*x+55,9/4*x^9-15/2*x^8-37/2*x^7+147/2*x^6+133/4*x^5-875/4*x^4+23*x^3+817/4*x^2-42*x-35,7/4*x^9-13/2*x^8-27/2*x^7+129/2*x^6+71/4*x^5-777/4*x^4+38*x^3+723/4*x^2-44*x-25,-7/2*x^9+23/2*x^8+29*x^7-112*x^6-107/2*x^5+327*x^4-61/2*x^3-575/2*x^2+115/2*x+41,-21/4*x^9+37/2*x^8+83/2*x^7-363/2*x^6-249/4*x^5+2147/4*x^4-91*x^3-1941/4*x^2+113*x+77,-1,-13/2*x^9+21*x^8+55*x^7-205*x^6-217/2*x^5+1201/2*x^4-39*x^3-1063/2*x^2+101*x+80,-3/2*x^9+5*x^8+13*x^7-50*x^6-55/2*x^5+303/2*x^4-4*x^3-279/2*x^2+20*x+18,-x^9+4*x^8+6*x^7-38*x^6+5*x^5+108*x^4-58*x^3-94*x^2+42*x+18,-27/2*x^9+89/2*x^8+111*x^7-432*x^6-395/2*x^5+1255*x^4-297/2*x^3-2189/2*x^2+511/2*x+161,-8*x^9+27*x^8+65*x^7-265*x^6-108*x^5+784*x^4-118*x^3-704*x^2+177*x+102,-5/2*x^9+9*x^8+19*x^7-89*x^6-41/2*x^5+533/2*x^4-76*x^3-483/2*x^2+86*x+28,13/2*x^9-21*x^8-55*x^7+205*x^6+219/2*x^5-1201/2*x^4+34*x^3+1059/2*x^2-103*x-76,12*x^9-41*x^8-97*x^7+401*x^6+160*x^5-1177*x^4+174*x^3+1037*x^2-259*x-146,1/2*x^9-x^8-6*x^7+10*x^6+49/2*x^5-61/2*x^4-39*x^3+63/2*x^2+24*x-7,21/2*x^9-35*x^8-86*x^7+341*x^6+299/2*x^5-1991/2*x^4+131*x^3+1745/2*x^2-219*x-126,-15*x^9+50*x^8+123*x^7-487*x^6-216*x^5+1422*x^4-176*x^3-1251*x^2+300*x+180,-5/2*x^9+8*x^8+21*x^7-77*x^6-83/2*x^5+435/2*x^4-10*x^3-335/2*x^2+31*x+6], x^10-4*x^9-6*x^8+38*x^7-7*x^6-105*x^5+74*x^4+77*x^3-74*x^2+8];
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E[451,5]=[[0,1,-3,4,-1,-6,2,-8,-5,-8,3,7,-1,6,0,-2,9,12,-9,-13,6,10,-12,13,-5], x-1];
E[473,1]=[[-1/2*x-1/2,x+1,-x-1,x,1,-6,-2,x+2,-x-8,-5,x+4,-3*x-3,3*x+3,1,x+10,-1,x+12,-2*x-7,3*x+4,-2*x-2,-4*x-14,-2*x-4,4,3*x+11,2*x+7], x^2+4*x-1];
E[473,2]=[[1/2*x+1/2,-2,-x+1,x,-1,-2*x,-x-3,x-2,x-6,4*x-1,-x-6,2*x,10,-1,x-6,4*x-5,x+8,-13,x+2,12,2,-5*x-3,-5*x-5,-4*x+6,-3], x^2-5];
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E[481,1]=[[1,0,-2,2,-2,-1,-6,0,2,-6,8,-1,-6,2,-6,10,-4,10,2,6,2,-2,6,-2,-14], x-1];
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E[481,3]=[[x,-13/86*x^10+17/43*x^9+81/43*x^8-397/86*x^7-687/86*x^6+684/43*x^5+1403/86*x^4-721/43*x^3-1575/86*x^2+287/86*x+268/43,-2/43*x^10+27/86*x^9-13/86*x^8-271/86*x^7+278/43*x^6+583/86*x^5-2489/86*x^4+228/43*x^3+1739/43*x^2-1119/86*x-675/43,23/172*x^10+3/86*x^9-269/86*x^8+107/172*x^7+4113/172*x^6-843/86*x^5-12273/172*x^4+1387/43*x^3+13047/172*x^2-4477/172*x-1741/86,-7/172*x^10-7/43*x^9+40/43*x^8+375/172*x^7-1177/172*x^6-398/43*x^5+3395/172*x^4+565/43*x^3-3739/172*x^2-421/172*x+743/86,-1,55/86*x^10-62/43*x^9-389/43*x^8+1587/86*x^7+3879/86*x^6-3261/43*x^5-8701/86*x^4+4992/43*x^3+8873/86*x^2-4727/86*x-1587/43,57/86*x^10-58/43*x^9-418/43*x^8+1529/86*x^7+4375/86*x^6-3310/43*x^5-10359/86*x^4+5523/43*x^3+11047/86*x^2-5909/86*x-1959/43,-97/172*x^10+107/86*x^9+697/86*x^8-2777/172*x^7-7071/172*x^6+5795/86*x^5+15999/172*x^4-4438/43*x^3-16257/172*x^2+7791/172*x+3121/86,16/43*x^10-65/43*x^9-120/43*x^8+740/43*x^7-117/43*x^6-2418/43*x^5+1829/43*x^4+2261/43*x^3-2474/43*x^2-340/43*x+842/43,40/43*x^10-98/43*x^9-515/43*x^8+1205/43*x^7+2223/43*x^6-4669/43*x^5-4221/43*x^4+6663/43*x^3+3963/43*x^2-3129/43*x-1292/43,1,55/86*x^10-62/43*x^9-346/43*x^8+1501/86*x^7+2761/86*x^6-2831/43*x^5-4057/86*x^4+3831/43*x^3+1907/86*x^2-3179/86*x-82/43,11/172*x^10-32/43*x^9+60/43*x^8+1229/172*x^7-3679/172*x^6-597/43*x^5+12553/172*x^4-507/43*x^3-11177/172*x^2+3217/172*x+663/86,-121/172*x^10+51/43*x^9+501/43*x^8-3027/172*x^7-11991/172*x^6+3858/43*x^5+31337/172*x^4-7796/43*x^3-33229/172*x^2+19309/172*x+5693/86,3/86*x^10-31/86*x^9-1/86*x^8+193/43*x^7-245/86*x^6-1523/86*x^5+455/43*x^4+1162/43*x^3-265/86*x^2-779/43*x-429/43,8/43*x^10+32/43*x^9-232/43*x^8-361/43*x^7+1941/43*x^6+1156/43*x^5-5987/43*x^4-1084/43*x^3+6374/43*x^2+217/43*x-1514/43,-19/86*x^10+48/43*x^9+39/43*x^8-1083/86*x^7+921/86*x^6+1777/43*x^5-5061/86*x^4-1884/43*x^3+6437/86*x^2+1339/86*x-981/43,-19/172*x^10+24/43*x^9-2/43*x^8-825/172*x^7+1867/172*x^6+136/43*x^5-7985/172*x^4+1509/43*x^3+9533/172*x^2-6057/172*x-2099/86,-65/172*x^10-1/86*x^9+663/86*x^8-265/172*x^7-9283/172*x^6+1571/86*x^5+26279/172*x^4-2426/43*x^3-27741/172*x^2+7111/172*x+4995/86,-33/86*x^10-23/43*x^9+457/43*x^8+183/86*x^7-7625/86*x^6+1002/43*x^5+24003/86*x^4-4741/43*x^3-26841/86*x^2+7979/86*x+3988/43,-227/172*x^10+74/43*x^9+990/43*x^8-4597/172*x^7-24605/172*x^6+6124/43*x^5+64687/172*x^4-12687/43*x^3-66235/172*x^2+31387/172*x+10445/86,-207/172*x^10+145/86*x^9+1733/86*x^8-4231/172*x^7-20849/172*x^6+10597/86*x^5+54213/172*x^4-10591/43*x^3-56363/172*x^2+26533/172*x+8789/86,5/43*x^10+63/43*x^9-274/43*x^8-704/43*x^7+2745/43*x^6+2163/43*x^5-9219/43*x^4-1473/43*x^3+10423/43*x^2-547/43*x-2892/43,-57/43*x^10+361/86*x^9+1285/86*x^8-4391/86*x^7-2139/43*x^6+16551/86*x^5+5453/86*x^4-11046/43*x^3-2791/43*x^2+9023/86*x+1639/43], x^11-3*x^10-14*x^9+45*x^8+64*x^7-237*x^6-99*x^5+529*x^4-7*x^3-460*x^2+67*x+110];
E[481,4]=[[x,-5/4*x^10+5/2*x^9+16*x^8-129/4*x^7-241/4*x^6+120*x^5+293/4*x^4-130*x^3-139/4*x^2+101/4*x+5/2,-1/4*x^10+5/4*x^9+11/4*x^8-16*x^7-27/4*x^6+237/4*x^5-125/2*x^3-13/4*x^2+9*x+1,3/8*x^10-1/4*x^9-11/2*x^8+27/8*x^7+215/8*x^6-13*x^5-423/8*x^4+27/2*x^3+321/8*x^2+17/8*x-21/4,3/8*x^10-1/2*x^9-19/4*x^8+53/8*x^7+139/8*x^6-103/4*x^5-145/8*x^4+32*x^3+29/8*x^2-97/8*x+1/4,1,1/4*x^10+1/2*x^9-4*x^8-27/4*x^7+89/4*x^6+29*x^5-201/4*x^4-45*x^3+159/4*x^2+83/4*x-11/2,7/4*x^10-4*x^9-45/2*x^8+209/4*x^7+343/4*x^6-401/2*x^5-437/4*x^4+235*x^3+229/4*x^2-217/4*x-3/2,9/8*x^10-13/4*x^9-14*x^8+333/8*x^7+397/8*x^6-307/2*x^5-441/8*x^4+321/2*x^3+283/8*x^2-185/8*x-7/4,1/2*x^10-4*x^9-6*x^8+105/2*x^7+39/2*x^6-206*x^5-47/2*x^4+249*x^3+71/2*x^2-97/2*x-1,-x^10+7/2*x^9+25/2*x^8-91/2*x^7-45*x^6+347/2*x^5+111/2*x^4-196*x^3-47*x^2+63/2*x+7,-1,11/4*x^10-9/2*x^9-37*x^8+235/4*x^7+623/4*x^6-223*x^5-987/4*x^4+252*x^3+665/4*x^2-207/4*x-35/2,-9/8*x^10+5/2*x^9+57/4*x^8-255/8*x^7-425/8*x^6+465/4*x^5+547/8*x^4-120*x^3-391/8*x^2+147/8*x+25/4,5/8*x^10-7/2*x^9-33/4*x^8+363/8*x^7+269/8*x^6-697/4*x^5-463/8*x^4+203*x^3+475/8*x^2-295/8*x-17/4,-1/2*x^10-1/4*x^9+23/4*x^8+15/4*x^7-15*x^6-79/4*x^5-55/4*x^4+73/2*x^3+53*x^2-47/4*x-13/2,-1/2*x^10-1/2*x^9+17/2*x^8+6*x^7-101/2*x^6-41/2*x^5+120*x^4+19*x^3-177/2*x^2-6*x+6,-9/4*x^10+2*x^9+61/2*x^8-103/4*x^7-517/4*x^6+185/2*x^5+783/4*x^4-90*x^3-383/4*x^2+39/4*x+5/2,19/8*x^10-9/2*x^9-127/4*x^8+469/8*x^7+1051/8*x^6-891/4*x^5-1593/8*x^4+254*x^3+981/8*x^2-457/8*x-35/4,-13/8*x^10+15/4*x^9+45/2*x^8-397/8*x^7-801/8*x^6+196*x^5+1433/8*x^4-487/2*x^3-1143/8*x^2+441/8*x+75/4,-3/4*x^10+1/2*x^9+11*x^8-27/4*x^7-219/4*x^6+27*x^5+463/4*x^4-36*x^3-409/4*x^2+55/4*x+23/2,9/8*x^10+3/2*x^9-57/4*x^8-161/8*x^7+417/8*x^6+347/4*x^5-371/8*x^4-128*x^3-161/8*x^2+309/8*x+23/4,1/8*x^10-3/4*x^9-5/2*x^8+81/8*x^7+141/8*x^6-42*x^5-421/8*x^4+109/2*x^3+435/8*x^2-5/8*x-7/4,-1/2*x^10+6*x^8+1/2*x^7-37/2*x^6-7*x^5+5/2*x^4+21*x^3+57/2*x^2-15/2*x-5,1/4*x^10-15/4*x^9-13/4*x^8+97/2*x^7+55/4*x^6-743/4*x^5-75/2*x^4+423/2*x^3+293/4*x^2-53/2*x-18], x^11-3*x^10-12*x^9+39*x^8+38*x^7-149*x^6-23*x^5+175*x^4-5*x^3-48*x^2+5*x+2];
E[481,5]=[[x,-4*x^6-15*x^5+10*x^4+69*x^3+15*x^2-42*x+5,-3*x^6-11*x^5+10*x^4+54*x^3-41*x+8,8*x^6+30*x^5-21*x^4-140*x^3-26*x^2+88*x-13,9*x^6+34*x^5-24*x^4-160*x^3-27*x^2+105*x-15,-1,-x^6-4*x^5+2*x^4+18*x^3+6*x^2-8*x,9*x^6+32*x^5-30*x^4-154*x^3-3*x^2+111*x-22,-8*x^6-30*x^5+22*x^4+143*x^3+23*x^2-99*x+8,-15*x^6-56*x^5+41*x^4+263*x^3+41*x^2-171*x+24,-13*x^6-48*x^5+36*x^4+225*x^3+36*x^2-147*x+14,-1,4*x^6+15*x^5-9*x^4-67*x^3-22*x^2+32*x+3,2*x^6+7*x^5-8*x^4-34*x^3+8*x^2+22*x-14,9*x^6+33*x^5-26*x^4-157*x^3-20*x^2+113*x-15,-4*x^6-16*x^5+9*x^4+74*x^3+18*x^2-38*x+5,-2*x^6-4*x^5+16*x^4+25*x^3-38*x^2-36*x+16,-7*x^6-28*x^5+15*x^4+132*x^3+37*x^2-86*x+4,12*x^6+46*x^5-29*x^4-215*x^3-51*x^2+135*x-10,x^5+4*x^4-4*x^3-21*x^2+2*x+5,-9*x^6-31*x^5+34*x^4+153*x^3-16*x^2-122*x+31,x^6+6*x^5+4*x^4-26*x^3-33*x^2+13*x+14,-17*x^6-63*x^5+45*x^4+295*x^3+61*x^2-193*x+11,-x^6-3*x^5+3*x^4+14*x^3+9*x^2-8*x-16,11*x^6+40*x^5-33*x^4-190*x^3-25*x^2+130*x-4], x^7+5*x^6+2*x^5-21*x^4-25*x^3+8*x^2+13*x-2];
E[493,1]=[[-1,-3,1,-2,3,1,1,-4,-2,1,1,-2,6,1,-9,-9,-6,8,-14,-10,0,3,8,16,2], x-1];
E[493,2]=[[1,x,x+2,x+3,-x,-2*x-1,-1,-x-1,-2*x+4,1,-3*x,x+3,-x-3,2*x-3,2*x+7,-2*x+5,-14,x+9,-6*x,-x+5,x-11,-3*x-2,-2*x+2,-4,-2], x^2+x-4];
E[493,3]=[[-x^3+x^2+8*x-9,x,2*x^3-x^2-16*x+14,-2*x^3+x^2+16*x-13,-x^3+8*x,3*x^3-2*x^2-25*x+23,1,x^2-3,2*x^3-2*x^2-18*x+20,-1,-3*x^3+2*x^2+26*x-28,-6*x^3+x^2+48*x-27,-6*x^3+x^2+50*x-29,7*x^3-3*x^2-58*x+51,4*x^3-3*x^2-35*x+33,-x^3+9*x-3,-10,4*x^3-3*x^2-34*x+31,x^3-5*x+4,-5*x^3+x^2+39*x-19,-x^3-x^2+5*x+3,10*x^3-6*x^2-79*x+74,-5*x^3+4*x^2+41*x-34,-4*x^3+2*x^2+34*x-24,-11*x^3+6*x^2+89*x-78], x^4-3*x^3-7*x^2+27*x-16];
E[493,4]=[[x^4+x^3-5*x^2-5*x,x,-x^3-x^2+5*x+3,x^2-x-4,-x^4+5*x^2-x-4,x^3-5*x-2,1,2*x^3-9*x-2,x^4+2*x^3-6*x^2-10*x,1,-2*x^4-3*x^3+11*x^2+13*x-3,3*x^4+3*x^3-14*x^2-12*x+1,x^4+x^3-5*x^2-4*x,3*x^4+4*x^3-16*x^2-20*x,-2*x^4-6*x^3+11*x^2+30*x-3,3*x^4+6*x^3-15*x^2-28*x-4,-x^4-3*x^3+6*x^2+15*x-5,-2*x^4-3*x^3+12*x^2+15*x-4,-x^4-5*x^3+6*x^2+26*x-4,5*x^3-x^2-22*x+3,-x^4+8*x^2-x-4,-5*x^4-9*x^3+24*x^2+41*x+2,7*x^4+9*x^3-37*x^2-47*x+1,-3*x^4-5*x^3+12*x^2+23*x+5,4*x^4+2*x^3-23*x^2-12*x+13], x^5+2*x^4-5*x^3-10*x^2+1];
E[493,5]=[[-3/19*x^5+1/19*x^4+22/19*x^3+1/19*x^2-11/19*x+33/19,x,5/19*x^5-8/19*x^4-24/19*x^3+11/19*x^2-7/19*x+40/19,6/19*x^5-2/19*x^4-44/19*x^3-21/19*x^2+41/19*x+48/19,-6/19*x^5+21/19*x^4+44/19*x^3-131/19*x^2-117/19*x+104/19,-4/19*x^5+14/19*x^4+23/19*x^3-100/19*x^2-21/19*x+120/19,1,8/19*x^5-28/19*x^4-46/19*x^3+162/19*x^2+61/19*x-126/19,4/19*x^5-33/19*x^4-4/19*x^3+214/19*x^2+2/19*x-158/19,-1,3/19*x^5-20/19*x^4+16/19*x^3+75/19*x^2-103/19*x+24/19,-1/19*x^5-25/19*x^4+20/19*x^3+222/19*x^2-48/19*x-274/19,16/19*x^5-37/19*x^4-111/19*x^3+191/19*x^2+198/19*x-138/19,-10/19*x^5-3/19*x^4+86/19*x^3+54/19*x^2-100/19*x-4/19,7/19*x^5+4/19*x^4-83/19*x^3-53/19*x^2+222/19*x+132/19,6/19*x^5+17/19*x^4-120/19*x^3-97/19*x^2+364/19*x+86/19,3/19*x^5-1/19*x^4-22/19*x^3+18/19*x^2-27/19*x+62/19,24/19*x^5-46/19*x^4-157/19*x^3+220/19*x^2+221/19*x-188/19,12/19*x^5-23/19*x^4-107/19*x^3+148/19*x^2+196/19*x-132/19,-7/19*x^5+34/19*x^4+26/19*x^3-213/19*x^2-32/19*x+134/19,-4/19*x^5+33/19*x^4+42/19*x^3-214/19*x^2-211/19*x+44/19,-2/19*x^5-31/19*x^4+21/19*x^3+254/19*x^2+75/19*x-244/19,1/19*x^5-13/19*x^4-20/19*x^3+177/19*x^2+67/19*x-410/19,-9/19*x^5+3/19*x^4+66/19*x^3+22/19*x^2-33/19*x+4/19,-x^5+2*x^4+7*x^3-9*x^2-14*x+2], x^6-2*x^5-11*x^4+14*x^3+38*x^2-15*x-26];
E[493,6]=[[19/107*x^9+145/107*x^8+259/107*x^7-405/107*x^6-1383/107*x^5-226/107*x^4+1531/107*x^3+825/107*x^2-269/107*x-285/107,x,-15/107*x^9-137/107*x^8-334/107*x^7+224/107*x^6+1548/107*x^5+674/107*x^4-1479/107*x^3-916/107*x^2+4/107*x+118/107,-18/107*x^9-143/107*x^8-251/107*x^7+547/107*x^6+1665/107*x^5-304/107*x^4-2695/107*x^3-500/107*x^2+1139/107*x+270/107,36/107*x^9+286/107*x^8+502/107*x^7-1094/107*x^6-3330/107*x^5+715/107*x^4+5604/107*x^3+465/107*x^2-2599/107*x-326/107,-25/107*x^9-157/107*x^8-93/107*x^7+944/107*x^6+1082/107*x^5-1944/107*x^4-1930/107*x^3+1826/107*x^2+506/107*x-588/107,-1,60/107*x^9+548/107*x^8+1336/107*x^7-1003/107*x^6-6620/107*x^5-2375/107*x^4+7842/107*x^3+3022/107*x^2-2370/107*x-258/107,-25/107*x^9-157/107*x^8-93/107*x^7+944/107*x^6+1082/107*x^5-2051/107*x^4-2465/107*x^3+1612/107*x^2+1897/107*x-374/107,-1,-14/107*x^9-135/107*x^8-433/107*x^7-169/107*x^6+1830/107*x^5+2498/107*x^4-2215/107*x^3-3052/107*x^2+1623/107*x+424/107,9/107*x^9+125/107*x^8+393/107*x^7-327/107*x^6-2277/107*x^5-62/107*x^4+3755/107*x^3+250/107*x^2-1800/107*x-242/107,-27/107*x^9-375/107*x^8-1500/107*x^7-731/107*x^6+6403/107*x^5+7890/107*x^4-6878/107*x^3-8882/107*x^2+2618/107*x+726/107,-18/107*x^9-143/107*x^8-251/107*x^7+547/107*x^6+1665/107*x^5-411/107*x^4-2909/107*x^3+35/107*x^2+1674/107*x-372/107,27/107*x^9+161/107*x^8+109/107*x^7-767/107*x^6-1053/107*x^5+777/107*x^4+1956/107*x^3+643/107*x^2-906/107*x-940/107,10/107*x^9+20/107*x^8-241/107*x^7-720/107*x^6+359/107*x^5+2297/107*x^4+986/107*x^3-1458/107*x^2-1572/107*x-150/107,-35/107*x^9-391/107*x^8-1243/107*x^7+166/107*x^6+6073/107*x^5+4319/107*x^4-8373/107*x^3-5490/107*x^2+4432/107*x+632/107,21/107*x^9+149/107*x^8+168/107*x^7-870/107*x^6-1889/107*x^5+1068/107*x^4+4446/107*x^3+191/107*x^2-3130/107*x+220/107,-28/107*x^9-163/107*x^8+97/107*x^7+1695/107*x^6+771/107*x^5-5169/107*x^4-2290/107*x^3+4703/107*x^2+678/107*x-222/107,-30/107*x^9-274/107*x^8-561/107*x^7+1197/107*x^6+4166/107*x^5-899/107*x^4-8094/107*x^3-1618/107*x^2+3967/107*x+1306/107,-13/107*x^9-26/107*x^8+431/107*x^7+1471/107*x^6-884/107*x^5-6271/107*x^4-704/107*x^3+6796/107*x^2+460/107*x-982/107,-49/107*x^9-419/107*x^8-927/107*x^7+853/107*x^6+4372/107*x^5+1146/107*x^4-4168/107*x^3-624/107*x^2+491/107*x-656/107,7/107*x^9+121/107*x^8+698/107*x^7+1208/107*x^6-1878/107*x^5-6599/107*x^4-337/107*x^3+7090/107*x^2+1168/107*x-1496/107,-7/107*x^9-121/107*x^8-591/107*x^7-566/107*x^6+2413/107*x^5+4031/107*x^4-2873/107*x^3-3880/107*x^2+2042/107*x-216/107,5/107*x^9+10/107*x^8-281/107*x^7-1216/107*x^6+19/107*x^5+5375/107*x^4+3061/107*x^3-6079/107*x^2-2926/107*x+1316/107], x^10+9*x^9+22*x^8-16*x^7-115*x^6-54*x^5+155*x^4+95*x^3-65*x^2-24*x+2];
E[493,7]=[[14/107*x^7-54/107*x^6-117/107*x^5+457/107*x^4+376/107*x^3-1011/107*x^2-435/107*x+359/107,x,-11/107*x^7+73/107*x^6-38/107*x^5-489/107*x^4+530/107*x^3+802/107*x^2-690/107*x-198/107,-19/214*x^7+29/107*x^6+197/214*x^5-184/107*x^4-515/107*x^3+325/214*x^2+941/107*x+257/107,9/107*x^7-50/107*x^6-37/107*x^5+439/107*x^4-64/107*x^3-948/107*x^2+263/107*x+376/107,13/214*x^7-48/107*x^6+113/214*x^5+323/107*x^4-712/107*x^3-977/214*x^2+1468/107*x+117/107,-1,-13/214*x^7+48/107*x^6-113/214*x^5-323/107*x^4+605/107*x^3+1405/214*x^2-826/107*x-759/107,-3/107*x^7-19/107*x^6+155/107*x^5+32/107*x^4-906/107*x^3+209/107*x^2+1125/107*x+160/107,1,-77/107*x^7+404/107*x^6+162/107*x^5-2888/107*x^4+1142/107*x^3+4758/107*x^2-1727/107*x-744/107,-9/214*x^7+25/107*x^6+37/214*x^5-273/107*x^4+139/107*x^3+1269/214*x^2-292/107*x+133/107,-93/214*x^7+187/107*x^6+739/214*x^5-1537/107*x^4-1096/107*x^3+5623/214*x^2+1334/107*x+19/107,-119/214*x^7+283/107*x^6+513/214*x^5-2183/107*x^4+221/107*x^3+8219/214*x^2-1174/107*x-857/107,65/214*x^7-133/107*x^6-505/214*x^5+1080/107*x^4+720/107*x^3-3387/214*x^2-1006/107*x-699/107,-157/214*x^7+341/107*x^6+907/214*x^5-2551/107*x^4-809/107*x^3+8655/214*x^2+922/107*x-129/107,47/107*x^7-273/107*x^6+104/107*x^5+1710/107*x^4-2284/107*x^3-2133/107*x^2+3882/107*x+846/107,169/214*x^7-410/107*x^6-671/214*x^5+2915/107*x^4+160/107*x^3-9277/214*x^2-604/107*x+23/107,66/107*x^7-224/107*x^6-628/107*x^5+1757/107*x^4+2491/107*x^3-3100/107*x^2-3778/107*x-96/107,-53/214*x^7+64/107*x^6+741/214*x^5-609/107*x^4-1797/107*x^3+2123/214*x^2+3143/107*x+807/107,81/214*x^7-118/107*x^6-975/214*x^5+1066/107*x^4+2173/107*x^3-4573/214*x^2-3150/107*x+515/107,47/107*x^7-166/107*x^6-431/107*x^5+1389/107*x^4+1461/107*x^3-2775/107*x^2-2003/107*x+418/107,26/107*x^7-85/107*x^6-309/107*x^5+864/107*x^4+1218/107*x^3-2061/107*x^2-1618/107*x+1110/107,-30/107*x^7+131/107*x^6+159/107*x^5-964/107*x^4-286/107*x^3+1876/107*x^2+978/107*x-1396/107,83/107*x^7-366/107*x^6-472/107*x^5+2824/107*x^4+563/107*x^3-4748/107*x^2+12/107*x-646/107], x^8-6*x^7+x^6+44*x^5-42*x^4-85*x^3+80*x^2+42*x-8];
E[493,8]=[[-1,0,-2,-5,0,7,1,5,4,-1,4,-11,3,-5,9,-3,6,-1,4,5,3,-6,14,-8,2], x-1];
E[517,1]=[[0,3,3,-2,1,-2,4,4,-7,-6,5,3,-6,-6,-1,-6,5,-14,15,5,0,-12,6,-1,1], x-1];
E[517,2]=[[2,-1,-3,-2,1,0,-6,8,-5,-4,3,3,4,-6,1,2,-3,8,-11,-3,-4,2,-14,-1,-15], x-1];
E[517,3]=[[-1/4*x+1/2,3,-1/4*x-1/2,-1/4*x+1/2,-1,1/4*x-1/2,x,1/4*x+7/2,3/4*x-1/2,8,3/4*x-5/2,-1/2*x-6,-3/2*x+7,-3/4*x+7/2,1,1/2*x-5,2*x-7,1/2*x-5,-3/4*x+5/2,-3/2*x,x+6,-1/4*x-7/2,-5/4*x+5/2,7,1/2*x], x^2-4*x-28];
E[517,4]=[[x-3,x-4,x-4,-3,-1,-x+3,x,x,-x+3,-6,-3*x+15,1,-x+7,2*x,1,-2*x+9,2*x,3*x-12,3*x-15,-2*x+14,6*x-22,6*x-21,-10*x+41,-4*x+7,-6*x+21], x^2-8*x+14];
E[517,5]=[[-x+3,-x+4,x-4,2*x-5,1,x-1,x,3*x-8,x+1,4*x-6,-x+5,4*x-3,5*x-5,-2*x+4,-1,-2*x-3,2*x-12,-5*x+16,-3*x+15,-2*x+14,2*x-6,-3,-4*x+7,4*x-5,-2*x-11], x^2-4*x+2];
E[517,6]=[[1/2*x-1,-1,1/2*x,-1/2*x+1,1,-1/2*x-3,x,-3/2*x-1,-3/2*x-2,-x+2,-1/2*x-6,2*x-3,4,1/2*x-3,1,2*x-4,2*x-3,2*x-4,1/2*x-14,x+3,-4,1/2*x+11,-1/2*x+1,2*x-1,-3*x+3], x^2-12];
E[517,7]=[[1/9*x^2+2/9*x-17/9,1/9*x^2+5/9*x-14/9,1/3*x+4/3,1/3*x+7/3,-1,2/9*x^2+4/9*x-25/9,x,-1/9*x^2-5/9*x-22/9,-1/9*x^2-5/9*x+59/9,-1/9*x^2-8/9*x+38/9,2/9*x^2+13/9*x-7/9,-1/3*x^2-4/3*x+3,-1/9*x^2-14/9*x-13/9,-2/9*x^2+8/9*x+82/9,1,-2/3*x+25/3,-6,-2/9*x^2+5/9*x+70/9,-5/9*x^2-31/9*x+55/9,-2/9*x^2-28/9*x+46/9,-1/9*x^2-20/9*x-46/9,1/9*x^2-1/9*x+25/9,-5/9*x^2-31/9*x+91/9,1/9*x^2-10/9*x-47/9,2/9*x^2+4/9*x-115/9], x^3+6*x^2-18*x-50];
E[517,8]=[[-1,1/9*x^2-5/9*x-8/3,-2/9*x^2+1/9*x+10/3,1/3*x^2+1/3*x-7,1,-1/9*x^2-4/9*x+5/3,x,-1/9*x^2+5/9*x+2/3,-5/9*x^2+7/9*x+19/3,-1/9*x^2-4/9*x+2/3,2/3*x^2-1/3*x-13,1/9*x^2+4/9*x-23/3,-2/3*x^2-2/3*x+11,2/9*x^2-10/9*x-10/3,1,4/9*x^2-20/9*x-23/3,-10/9*x^2+14/9*x+50/3,2/9*x^2-1/9*x+14/3,1/9*x^2-5/9*x+7/3,8/9*x^2-4/9*x-58/3,x^2-22,-4/3*x^2-1/3*x+25,-x-5,-1/9*x^2+14/9*x-25/3,-4/9*x^2-16/9*x+47/3], x^3-4*x^2-20*x+66];
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E[517,11]=[[2,-1,3,4,-1,0,0,2,1,2,-3,3,-2,-12,1,-10,9,-10,-5,9,-4,-10,4,-13,-15], x-1];
E[527,1]=[[x,-x^4-x^3+4*x^2+2*x-2,x^3-5*x+1,x^3-4*x+1,2*x^4+x^3-8*x^2+x+1,x^4-4*x^2+3*x-3,1,-2*x^3-2*x^2+5*x+1,-4*x^3-x^2+14*x-6,-2*x^4-4*x^3+7*x^2+11*x-6,1,-x^4-x^3+7*x^2+7*x-9,-x^4+2*x^3+10*x^2-6*x-12,5*x^3+5*x^2-15*x-4,-2*x^4+x^3+8*x^2-8*x+1,x^2+2*x,-2*x^4-x^3+7*x^2-x+2,-x^4+x^2-5*x+6,3*x^4+4*x^3-15*x^2-14*x+6,4*x^4+5*x^3-15*x^2-9*x+10,-x^4+3*x^2-3*x-4,2*x^4-x^3-10*x^2+8*x+6,-2*x^4-2*x^3+9*x^2-x-7,-3*x^3-3*x^2+7*x-4,2*x^4-2*x^3-11*x^2+11*x-1], x^5+2*x^4-5*x^3-7*x^2+7*x+1];
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E[533,5]=[[x,x^7-x^6-9*x^5+6*x^4+24*x^3-10*x^2-17*x+6,x^7-2*x^6-7*x^5+12*x^4+14*x^3-18*x^2-6*x+4,x^6-2*x^5-6*x^4+10*x^3+9*x^2-10*x,-x^6+x^5+8*x^4-6*x^3-16*x^2+9*x+3,-1,-3*x^6+6*x^5+19*x^4-35*x^3-26*x^2+48*x-9,x^4-5*x^2-2*x+4,-x^7+2*x^6+6*x^5-11*x^4-6*x^3+13*x^2-8*x+3,3*x^6-8*x^5-16*x^4+46*x^3+13*x^2-61*x+19,2*x^5-3*x^4-14*x^3+16*x^2+22*x-15,-x^7+3*x^6+6*x^5-20*x^4-10*x^3+36*x^2+5*x-9,1,-x^6+5*x^5+2*x^4-29*x^3+9*x^2+37*x-13,-2*x^7+4*x^6+13*x^5-24*x^4-19*x^3+33*x^2-4*x+1,-x^7+x^6+7*x^5-3*x^4-13*x^3-3*x^2+3*x+3,-x^7+x^6+8*x^5-3*x^4-21*x^3+17*x-3,-2*x^7-x^6+23*x^5+7*x^4-78*x^3-2*x^2+78*x-25,-3*x^7+2*x^6+27*x^5-9*x^4-72*x^3+10*x^2+50*x-7,x^7-5*x^6+29*x^4-25*x^3-36*x^2+41*x-13,x^7-x^6-7*x^5+4*x^4+13*x^3-3*x^2-9*x+4,-2*x^7+x^6+20*x^5-6*x^4-60*x^3+13*x^2+53*x-19,2*x^7-x^6-19*x^5+6*x^4+51*x^3-15*x^2-36*x+24,2*x^7-x^6-19*x^5+4*x^4+53*x^3-3*x^2-36*x+2,-2*x^6+5*x^5+14*x^4-30*x^3-28*x^2+42*x+3], x^8-x^7-10*x^6+8*x^5+31*x^4-22*x^3-28*x^2+22*x-3];
E[551,1]=[[-1,1,-1,2,-3,-5,2,1,0,1,-7,2,0,-11,-9,1,8,0,-4,0,2,3,4,0,4], x-1];
E[551,2]=[[-2,-2,-1,-1,1,2,3,1,8,1,-10,-8,-6,5,7,-12,-10,1,-2,-12,-9,12,-4,8,8], x-1];
E[551,3]=[[2,-2,-1,-1,-3,-2,-1,1,0,1,2,-4,-6,1,3,4,14,-3,2,0,11,-12,4,0,-8], x-1];
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E[583,6]=[[-x,x,-1/2*x^5+9/2*x^3-1/2*x^2-8*x+1/2,1/2*x^5-9/2*x^3-1/2*x^2+8*x+1/2,-1,1/2*x^5+1/2*x^4-4*x^3-7/2*x^2+13/2*x+3,1/2*x^5-9/2*x^3-1/2*x^2+8*x-5/2,1/2*x^5-3/2*x^4-4*x^3+21/2*x^2+7/2*x-8,1/2*x^5-1/2*x^4-3*x^3+7/2*x^2+1/2*x-4,-2*x^5+1/2*x^4+33/2*x^3-3*x^2-47/2*x-11/2,-3/2*x^5+3/2*x^4+12*x^3-19/2*x^2-31/2*x+3,x^5-x^4-10*x^3+8*x^2+19*x-8,-1/2*x^5+1/2*x^4+4*x^3-7/2*x^2-9/2*x,-2*x^5+3/2*x^4+33/2*x^3-11*x^2-47/2*x+13/2,1/2*x^5-x^4-9/2*x^3+11/2*x^2+6*x+7/2,-1,1/2*x^5-5/2*x^3+3/2*x^2-4*x-3/2,x^5-1/2*x^4-17/2*x^3+4*x^2+29/2*x-9/2,-1/2*x^5+3/2*x^4+2*x^3-19/2*x^2+11/2*x+7,x^5-3/2*x^4-13/2*x^3+12*x^2-5/2*x-23/2,1/2*x^5-1/2*x^4-3*x^3+3/2*x^2-1/2*x,-3/2*x^5+1/2*x^4+14*x^3-7/2*x^2-45/2*x-2,-5/2*x^5+5/2*x^4+20*x^3-39/2*x^2-51/2*x+14,x^5+1/2*x^4-15/2*x^3-4*x^2+15/2*x+21/2,3/2*x^5-x^4-27/2*x^3+5/2*x^2+24*x+23/2], x^6-2*x^5-8*x^4+16*x^3+10*x^2-20*x-1];
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x^15-4*x^14-24*x^13+106*x^12+213*x^11-1119*x^10-786*x^9+5993*x^8+390*x^7-17050*x^6+5244*x^5+24068*x^4-13256*x^3-12640*x^2+9184*x-324];
E[697,6]=[[543/11788*x^9+197/11788*x^8-9123/11788*x^7-539/1684*x^6+21117/5894*x^5+16413/11788*x^4-38335/11788*x^3+3147/2947*x^2+16397/5894*x-603/5894,x,-183/2947*x^9+48/421*x^8+3370/2947*x^7-5497/2947*x^6-19146/2947*x^5+3670/421*x^4+32453/2947*x^3-4201/421*x^2-592/421*x+11492/2947,155/2947*x^9-326/2947*x^8-3816/2947*x^7+4955/2947*x^6+32394/2947*x^5-16330/2947*x^4-101526/2947*x^3-17480/2947*x^2+54681/2947*x+210/421,-324/2947*x^9+236/2947*x^8+878/421*x^7-3866/2947*x^6-5302/421*x^5+17553/2947*x^4+10752/421*x^3-17322/2947*x^2-35047/2947*x+10698/2947,543/5894*x^9-645/5894*x^8-11649/5894*x^7+8857/5894*x^6+42167/2947*x^5-23161/5894*x^4-221891/5894*x^3-24018/2947*x^2+55129/2947*x+9501/2947,-1,193/2947*x^9-99/2947*x^8-4173/2947*x^7+1661/2947*x^6+31435/2947*x^5-7201/2947*x^4-93217/2947*x^3+4744/2947*x^2+71107/2947*x-14738/2947,-75/2947*x^9-304/2947*x^8+1602/2947*x^7+742/421*x^6-11125/2947*x^5-25208/2947*x^4+25468/2947*x^3+27308/2947*x^2-8600/2947*x+3716/2947,267/5894*x^9+55/5894*x^8-6663/5894*x^7-2139/5894*x^6+29275/2947*x^5+24957/5894*x^4-190241/5894*x^3-47160/2947*x^2+46883/2947*x+5123/2947,-533/5894*x^9+1303/5894*x^8+12109/5894*x^7-21955/5894*x^6-48021/2947*x^5+102695/5894*x^4+294163/5894*x^3-48306/2947*x^2-107321/2947*x+28029/2947,285/2947*x^9+229/2947*x^8-593/421*x^7-4076/2947*x^6+1709/421*x^5+16895/2947*x^4+3640/421*x^3+10489/2947*x^2-27102/2947*x-9574/2947,1,-1233/5894*x^9+4079/5894*x^8+26219/5894*x^7-9643/842*x^6-95868/2947*x^5+302173/5894*x^4+523725/5894*x^3-105828/2947*x^2-126685/2947*x+27127/2947,52/2947*x^9+152/421*x^8-555/2947*x^7-18600/2947*x^6-2531/2947*x^5+13025/421*x^4+30426/2947*x^3-12812/421*x^2-1173/421*x+24884/2947,789/5894*x^9-1635/5894*x^8-18857/5894*x^7+3999/842*x^6+77673/2947*x^5-130535/5894*x^4-480461/5894*x^3+52748/2947*x^2+154275/2947*x-30509/2947,149/5894*x^9+1721/5894*x^8-303/5894*x^7-27939/5894*x^6-12455/2947*x^5+116727/5894*x^4+155789/5894*x^3-17718/2947*x^2-58677/2947*x+617/421,-2953/5894*x^9+5415/5894*x^8+60769/5894*x^7-86361/5894*x^6-210103/2947*x^5+362081/5894*x^4+1062267/5894*x^3-94020/2947*x^2-260101/2947*x+36843/2947,-269/5894*x^9+2171/5894*x^8+677/5894*x^7-5551/842*x^6+20816/2947*x^5+219651/5894*x^4-250939/5894*x^3-204784/2947*x^2+74952/2947*x+40417/2947,1172/2947*x^9-1020/2947*x^8-23131/2947*x^7+16552/2947*x^6+147043/2947*x^5-76514/2947*x^4-320370/2947*x^3+90850/2947*x^2+164561/2947*x-5800/421,464/2947*x^9-1128/2947*x^8-9389/2947*x^7+19206/2947*x^6+63073/2947*x^5-95086/2947*x^4-155109/2947*x^3+120405/2947*x^2+89692/2947*x-4532/421,-1573/2947*x^9+1073/2947*x^8+4338/421*x^7-15804/2947*x^6-26757/421*x^5+55394/2947*x^4+54929/421*x^3+6332/2947*x^2-145147/2947*x+8006/2947,-1005/5894*x^9+389/5894*x^8+20709/5894*x^7-5591/5894*x^6-69696/2947*x^5+25199/5894*x^4+326873/5894*x^3-26526/2947*x^2-86669/2947*x+27339/2947,-1669/5894*x^9+145/5894*x^8+29739/5894*x^7-4491/5894*x^6-79930/2947*x^5+50257/5894*x^4+259547/5894*x^3-97540/2947*x^2-89655/2947*x+4193/421,-1287/2947*x^9+1031/2947*x^8+25840/2947*x^7-2137/421*x^6-170276/2947*x^5+42605/2947*x^4+392708/2947*x^3+84788/2947*x^2-165258/2947*x-37846/2947], x^10-2*x^9-20*x^8+34*x^7+133*x^6-167*x^5-324*x^4+209*x^3+190*x^2-100*x-2];



\\ levels 700-1000
\\ here I only computed the a_p for p<=29 in order to save time. 
E[703,1]=[[-2,0,-3,3,-1,2,3,1,0,-4], x-1];
E[703,2]=[[x,-x+1,-2,2*x+1,-5,-2*x+2,-x,-1,x-2,6*x-2], x^2-2];
E[703,3]=[[x,-x^3-x^2+5*x-1,x^3+2*x^2-4*x-4,-x^2-2*x+3,-1,-2*x^2-2*x+6,x^2+x-6,1,x^3+3*x^2-x-6,3*x^3+4*x^2-10*x-2], x^4-6*x^2+4*x+2];
E[703,4]=[[x,-x^4-2*x^3+5*x^2+8*x-2,-2*x^4-3*x^3+10*x^2+12*x-3,-2*x^4-3*x^3+10*x^2+13*x-4,5*x^4+8*x^3-25*x^2-34*x+6,2*x^4+2*x^3-11*x^2-9*x+5,3*x^4+5*x^3-15*x^2-19*x+3,1,-x^4+5*x^2-2*x-6,-2*x^4-3*x^3+12*x^2+11*x-12], x^5+3*x^4-3*x^3-14*x^2-7*x+3];
E[703,5]=[[x,66/137*x^10-246/137*x^9-597/137*x^8+2839/137*x^7+805/137*x^6-9901/137*x^5+3213/137*x^4+10508/137*x^3-4049/137*x^2-3373/137*x+429/137,-14/137*x^10-35/137*x^9+438/137*x^8+253/137*x^7-3849/137*x^6+286/137*x^5+12732/137*x^4-3956/137*x^3-14838/137*x^2+3634/137*x+5252/137,-124/137*x^10+512/137*x^9+885/137*x^8-5666/137*x^7+1294/137*x^6+17838/137*x^5-16324/137*x^4-12884/137*x^3+20041/137*x^2+442/137*x-6149/137,143/137*x^10-533/137*x^9-1362/137*x^8+6311/137*x^7+2589/137*x^6-23119/137*x^5+3468/137*x^4+27608/137*x^3-3270/137*x^2-10208/137*x-1605/137,17/137*x^10-300/137*x^9+662/137*x^8+3108/137*x^7-9310/137*x^6-8078/137*x^5+34486/137*x^4-50/137*x^3-37350/137*x^2+5510/137*x+11550/137,-20/137*x^10+87/137*x^9+156/137*x^8-989/137*x^7+1/137*x^6+3266/137*x^5-1559/137*x^4-2794/137*x^3+1173/137*x^2+553/137*x+418/137,1,69/137*x^10-307/137*x^9-456/137*x^8+3460/137*x^7-1120/137*x^6-11391/137*x^5+10427/137*x^4+9790/137*x^3-12671/137*x^2-1079/137*x+3942/137,-105/137*x^10+354/137*x^9+1093/137*x^8-4199/137*x^7-2906/137*x^6+15434/137*x^5+549/137*x^4-18573/137*x^3+96/137*x^2+6842/137*x+1578/137], x^11-5*x^10-6*x^9+60*x^8-25*x^7-228*x^6+193*x^5+312*x^4-257*x^3-194*x^2+94*x+54];
E[703,6]=[[x,446/711*x^17-1021/1422*x^16-22751/1422*x^15+24089/1422*x^14+117188/711*x^13-74561/474*x^12-139137/158*x^11+57674/79*x^10+3711733/1422*x^9-844333/474*x^8-6079051/1422*x^7+1579385/711*x^6+5209915/1422*x^5-1879565/1422*x^4-1013036/711*x^3+253724/711*x^2+131507/711*x-26998/711,-883/1422*x^17+850/711*x^16+10912/711*x^15-41437/1422*x^14-215773/1422*x^13+201347/711*x^12+1091779/1422*x^11-1995443/1422*x^10-501581/237*x^9+2683252/711*x^8+1493857/474*x^7-862701/158*x^6-1718968/711*x^5+5739647/1422*x^4+607999/711*x^3-964991/711*x^2-26125/237*x+112343/711,820/711*x^17-449/711*x^16-22445/711*x^15+11035/711*x^14+252637/711*x^13-109978/711*x^12-1510207/711*x^11+579212/711*x^10+1723078/237*x^9-1775090/711*x^8-3397708/237*x^7+365894/79*x^6+11087522/711*x^5-3646193/711*x^4-5951834/711*x^3+2173801/711*x^2+397064/237*x-489133/711,-431/711*x^17+286/711*x^16+11845/711*x^15-7238/711*x^14-134057/711*x^13+74825/711*x^12+807479/711*x^11-411160/711*x^10-310442/79*x^9+1313011/711*x^8+621871/79*x^7-832111/237*x^6-6229897/711*x^5+2738362/711*x^4+3456124/711*x^3-1556060/711*x^2-239066/237*x+333101/711,-799/474*x^17+2861/1422*x^16+21467/474*x^15-36230/711*x^14-236959/474*x^13+744821/1422*x^12+2085094/711*x^11-4017025/1422*x^10-14059915/1422*x^9+12309823/1422*x^8+13776881/711*x^7-21760243/1422*x^6-30284045/1422*x^5+3586450/237*x^4+8400319/711*x^3-598810/79*x^2-1757171/711*x+1024160/711,-2036/711*x^17+6113/1422*x^16+105233/1422*x^15-151315/1422*x^14-553082/711*x^13+1505491/1422*x^12+6102493/1422*x^11-3872479/711*x^10-6355871/474*x^9+22162313/1422*x^8+11380001/474*x^7-5932661/237*x^6-34052519/1422*x^5+31193165/1422*x^4+8613433/711*x^3-6831566/711*x^2-186359/79*x+1144889/711,-1,2387/1422*x^17-5213/1422*x^16-60685/1422*x^15+65609/711*x^14+625901/1422*x^13-444491/474*x^12-563867/237*x^11+2347331/474*x^10+10383167/1422*x^9-6926335/474*x^8-9244534/711*x^7+34447271/1422*x^6+18932051/1422*x^5-15430181/711*x^4-5168644/711*x^3+6708439/711*x^2+1117108/711*x-1082402/711,-697/1422*x^17+275/1422*x^16+22811/1422*x^15-6023/711*x^14-307207/1422*x^13+193519/1422*x^12+1099562/711*x^11-1543757/1422*x^10-3006325/474*x^9+6711569/1422*x^8+3548420/237*x^7-1783641/158*x^6-27607721/1422*x^5+10038421/711*x^4+8797030/711*x^3-5870168/711*x^2-676975/237*x+1217306/711], x^18-3*x^17-25*x^16+78*x^15+251*x^14-827*x^13-1294*x^12+4619*x^11+3615*x^10-14679*x^9-5160*x^8+26821*x^7+2497*x^6-27186*x^5+2136*x^4+13772*x^3-2914*x^2-2636*x+836];
E[703,7]=[[x,2,-x^3+x^2+4*x-1,x^3-2*x^2-4*x+7,-x^3+x^2+3*x-1,x^3-2*x^2-5*x+4,-x^3+3*x^2+4*x-7,1,4*x^3-6*x^2-16*x+16,-2*x^2+x+6], x^4-3*x^3-2*x^2+9*x-4];
E[703,8]=[[x,1/8*x^8+3/8*x^7-11/8*x^6-13/4*x^5+43/8*x^4+49/8*x^3-37/4*x^2-3/4*x+3,-3/8*x^8-7/8*x^7+31/8*x^6+8*x^5-101/8*x^4-149/8*x^3+16*x^2+35/4*x-7/2,1/4*x^8+3/4*x^7-11/4*x^6-15/2*x^5+39/4*x^4+81/4*x^3-25/2*x^2-27/2*x+1,x^8+5/2*x^7-19/2*x^6-45/2*x^5+25*x^4+101/2*x^3-41/2*x^2-23*x+2,-1/4*x^8-1/2*x^7+7/2*x^6+19/4*x^5-65/4*x^4-21/2*x^3+103/4*x^2+3*x-15/2,-5/8*x^8-15/8*x^7+47/8*x^6+69/4*x^5-127/8*x^4-317/8*x^3+61/4*x^2+63/4*x-4,-1,-5/4*x^8-3*x^7+13*x^6+109/4*x^5-165/4*x^4-61*x^3+181/4*x^2+25*x-17/2,-3/4*x^7-5/4*x^6+29/4*x^5+21/2*x^4-77/4*x^3-87/4*x^2+27/2*x+13/2], x^9+3*x^8-9*x^7-28*x^6+21*x^5+69*x^4-12*x^3-44*x^2-4*x+4];
E[703,9]=[[0,3,-2,-1,3,6,2,1,0,6], x-1];
E[713,1]=[[1,1,0,-3,-4,2,3,-4,1,-6], x-1];
E[713,2]=[[x,2*x-2,-2*x-1,-1,-2,0,4,-4*x+3,-1,2*x+4], x^2-x-1];
E[713,3]=[[x,-x^3-2*x^2+3*x+3,x^4+2*x^3-2*x^2-3*x-2,2*x^4+5*x^3-4*x^2-11*x-3,x^4+4*x^3+2*x^2-7*x-3,3*x^3+4*x^2-9*x-4,-x^4-2*x^3+x^2,-2*x^4-6*x^3+3*x^2+15*x,-1,-3*x^4-6*x^3+9*x^2+10*x-5], x^5+4*x^4+x^3-9*x^2-5*x+1];
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E[713,6]=[[x,-x,-x^3+4*x+1,x^3-x^2-4*x+1,x^3-x^2-4*x,x^4-x^3-3*x^2+4*x-3,-x^4+4*x^2+x-3,-x^4+2*x^3+3*x^2-8*x,-1,-x^4-2*x^3+6*x^2+8*x-5], x^5-7*x^3+11*x-1];
E[713,7]=[[x,24/37*x^8+97/37*x^7-100/37*x^6-773/37*x^5-413/37*x^4+1300/37*x^3+1307/37*x^2+85/37*x-125/37,13/37*x^8+51/37*x^7-85/37*x^6-448/37*x^5+43/37*x^4+994/37*x^3+173/37*x^2-455/37*x+14/37,9/37*x^8+41/37*x^7-19/37*x^6-313/37*x^5-326/37*x^4+432/37*x^3+874/37*x^2+240/37*x-144/37,-53/37*x^8-225/37*x^7+227/37*x^6+1835/37*x^5+855/37*x^4-3321/37*x^3-2820/37*x^2+264/37*x+330/37,-45/37*x^8-205/37*x^7+132/37*x^6+1639/37*x^5+1223/37*x^4-2789/37*x^3-3297/37*x^2-127/37*x+313/37,-3/37*x^8-26/37*x^7-6/37*x^6+240/37*x^5+195/37*x^4-551/37*x^3-353/37*x^2+142/37*x-137/37,-13/37*x^8-14/37*x^7+159/37*x^6+115/37*x^5-635/37*x^4-217/37*x^3+937/37*x^2+85/37*x-310/37,1,52/37*x^8+204/37*x^7-266/37*x^6-1681/37*x^5-531/37*x^4+3125/37*x^3+2394/37*x^2-377/37*x-462/37], x^9+5*x^8-x^7-38*x^6-43*x^5+52*x^4+102*x^3+31*x^2-11*x-3];
E[731,1]=[[1,1,-1,0,-6,1,-1,-2,2,6], x-1];
E[731,2]=[[-1,x,-x,0,-2,-x-2,-1,-2*x+4,2,-2*x], x^2-x-4];
E[731,3]=[[-2*x^5-7*x^4+3*x^3+22*x^2+6*x-6,x,x^5+4*x^4-13*x^2-8*x+5,3*x^5+10*x^4-6*x^3-32*x^2-7*x+7,-2*x^5-6*x^4+5*x^3+18*x^2+2*x-3,-2*x^5-7*x^4+3*x^3+24*x^2+9*x-11,-1,-4*x^5-14*x^4+5*x^3+42*x^2+16*x-12,-x^5-4*x^4+x^3+15*x^2+4*x-8,7*x^5+22*x^4-17*x^3-70*x^2-7*x+16], x^6+3*x^5-3*x^4-10*x^3+x^2+4*x-1];
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E[737,1]=[[-2,2,-2,-2,1,-2,7,3,-7,-9], x-1];
E[737,2]=[[x,x-2,x-2,2*x-2,1,-3*x,-x-3,x+1,-1,-3*x+1], x^2-2];
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E[737,6]=[[x,x^7-2*x^6-7*x^5+13*x^4+5*x^3-6*x^2-2*x-2,-4*x^7+10*x^6+25*x^5-69*x^4+x^3+52*x^2-11*x-4,3*x^7-8*x^6-18*x^5+56*x^4-6*x^3-47*x^2+12*x+6,1,x^7-4*x^6-4*x^5+29*x^4-15*x^3-29*x^2+12*x+6,3*x^7-7*x^6-21*x^5+50*x^4+14*x^3-47*x^2+x+5,-7*x^7+20*x^6+40*x^5-140*x^4+27*x^3+115*x^2-38*x-16,8*x^7-24*x^6-41*x^5+165*x^4-63*x^3-117*x^2+62*x+5,-4*x^7+13*x^6+19*x^5-90*x^4+41*x^3+67*x^2-37*x-5], x^8-2*x^7-8*x^6+15*x^5+12*x^4-19*x^3-7*x^2+6*x+1];
E[767,1]=[[-1,-x^2+x+5,x,-1,-x-1,1,-x^2+3,x^2-2*x-6,3*x^2-x-14,x^2-2*x-6], x^3+x^2-7*x-9];
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E[767,4]=[[x,x,x,2*x+1,-3*x-3,-1,-2*x-2,-1,-x-1,7], x^2+2*x-1];
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E[779,1]=[[x,-x,2*x-1,-x+1,-3*x+1,2*x-4,-x-1,1,-2*x+2,2*x-6], x^2-2];
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E[781,3]=[[x,-x,-x-1,x,1,-5,-2*x,-x-2,-4,-x+4], x^2-x-3];
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E[793,4]=[[x,-x^6-x^5+8*x^4+9*x^3-11*x^2-13*x-3,x^6+x^5-8*x^4-9*x^3+11*x^2+12*x+2,-x^8+13*x^6+2*x^5-53*x^4-14*x^3+65*x^2+18*x-2,2*x^8+2*x^7-23*x^6-22*x^5+79*x^4+64*x^3-85*x^2-52*x-1,-1,x^8+x^7-10*x^6-9*x^5+27*x^4+15*x^3-25*x^2-3*x+5,-x^7-2*x^6+10*x^5+17*x^4-26*x^3-28*x^2+23*x+5,-x^8-x^7+11*x^6+9*x^5-35*x^4-15*x^3+36*x^2-2*x-4,-x^8-2*x^7+11*x^6+21*x^5-34*x^4-59*x^3+30*x^2+45*x+3], x^9+3*x^8-9*x^7-32*x^6+15*x^5+94*x^4+13*x^3-85*x^2-29*x+1];
E[793,5]=[[x,-x^3-x^2+5*x,-x^3-x^2+5*x-1,x^3+x^2-5*x-1,2*x^3+2*x^2-11*x-1,-1,-2*x^3-2*x^2+9*x-2,x^3+x^2-6*x-1,x^2+3*x-1,4*x^3+4*x^2-17*x-2], x^4+x^3-5*x^2-x+1];
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E[799,1]=[[-1,2,4,-2,0,2,1,4,-4,8], x-1];
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E[851,1]=[[0,1,x,x-1,-x+3,6,-x-4,x+2,-1,-2*x+4], x^2-x-10];
E[851,2]=[[-1/3*x^2-x+3,1/3*x^2+x-2,x,-1/3*x^2-x-1,-2/3*x^2-x+3,-1/3*x^2+2,-2/3*x^2-x,x^2+2*x-10,1,5/3*x^2-12], x^3-9*x+9];
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E[871,1]=[[2,2,2,2,0,-1,-5,-5,1,3], x-1];
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E[949,1]=[[x,-x+3,-2*x+3,3,2*x-3,1,0,3*x-2,-2*x+3,-x+6], x^2-3*x+1];
E[949,2]=[[x,-x+1,-2*x+1,1,2*x+3,1,4*x+4,-x+2,-2*x-1,5*x-2], x^2+x-1];
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