Sharedwww / ono / apmod_run14.gpOpen in CoCalc
\\apmod_run14.gp
\\Compute Hecke eigenvalues for a basis of newforms of
\\S_k(Gamma_0(N); Fp).  This is really computed using modular symbols
\\so in some special cases the computation may fail, e.g., maybe, if p divides
\\the discriminant of the Hecke algebra.
\\It is also possible, but very unlikely if p>3, that the dimension
\\of the modp reduction will go up because of "spurious torsion."

\\ Notation: This table is destined to be input into PARI.
\\ Unfortunately, PARI doesn't support n-dimensional arrays.
\\ Thus for now the output format is
\\    apmod_k7p13[N,i] = [g(x), [a2(x), a3(x), a5(x), ...]]. 
\\ where k=7,p=13 are examples,
\\ i is the conjugacy class (in no particular order), 
\\ g(x) is an irreducible poly over Fp, and the Hecke eigenvalues a2, a3, ...
\\ are expressed as polynomials in a fixed root of g(x).

\\ William Stein ([email protected])
\\ Fri May 21 23:23:05 1999


apmod_k14p7[288,1] = [x^2+1, [0,0,1,0,x,0,5,5*x,2*x,6,3*x,2,4,x,3*x,1,2*x,3,0,2*x,6,5*x,x,0,2]];
apmod_k14p7[288,2] = [x^2+1, [0,0,x,0,2,4,x,2*x,2,4*x,2*x,4,x,x,1,6*x,3,1,5*x,2,4,x,3,6*x,4]];
apmod_k14p7[288,3] = [x^2+1, [0,0,x,0,5,4,x,5*x,5,4*x,5*x,4,x,6*x,6,6*x,4,1,2*x,5,4,6*x,4,6*x,4]];
apmod_k14p7[288,4] = [x^2+3*x+6, [0,0,x+5,1,x,2,6*x+5,2*x+3,x,5*x+2,5*x+1,5,x+4,1,5*x+1,2,5*x+3,2*x+1,5*x,6*x+1,5*x+3,5*x+1,3,x+5,2*x+1]];
apmod_k14p7[288,5] = [x^2+4*x+6, [0,0,6*x+5,6,x,2,x+5,2*x+4,x,2*x+2,5*x+6,5,6*x+4,6,5*x+6,2,5*x+4,5*x+1,5*x,6*x+6,2*x+3,5*x+6,4,6*x+5,5*x+1]];
apmod_k14p7[288,6] = [x^2+5*x+5, [0,0,4*x+4,0,x,5*x,x+3,5*x,6*x+4,4*x,5*x+5,2,5*x+5,x+2,6*x+2,6*x+2,6*x+3,3*x,2*x+5,6*x+6,6*x+3,4*x+5,3*x+3,6*x+2,6*x]];
apmod_k14p7[288,7] = [x^2+2*x+5, [0,0,3*x+4,0,x,2*x,6*x+3,5*x,6*x+3,3*x,5*x+2,2,2*x+5,x+5,6*x+5,x+2,6*x+4,4*x,2*x+2,6*x+1,x+3,4*x+2,3*x+4,x+2,x]];
apmod_k14p7[288,8] = [x^2+5*x+3, [0,0,x,1,x,2*x+5,6*x+4,2*x+3,4*x+4,5*x+1,5*x+4,5*x+2,x+4,3*x,2*x+6,1,2*x,5*x+2,6,6*x+3,3*x+5,4*x,3*x,4*x+5,3*x+6]];
apmod_k14p7[288,9] = [x^2+2*x+3, [0,0,6*x,6,x,5*x+5,x+4,2*x+4,4*x+3,2*x+1,5*x+3,2*x+2,6*x+4,3*x,2*x+1,1,2*x,2*x+2,1,6*x+4,4*x+5,4*x,3*x,3*x+5,4*x+6]];
apmod_k14p7[288,10] = [x^2+2*x+3, [0,0,x,1,x,5*x+5,6*x+3,5*x+3,4*x+3,5*x+6,2*x+4,2*x+2,x+3,4*x,2*x+1,6,2*x,2*x+2,6,6*x+4,4*x+5,3*x,3*x,4*x+2,4*x+6]];
apmod_k14p7[288,11] = [x^2+3*x+5, [0,0,3*x,1,x,3*x+4,6*x+2,3*x+2,3,x+5,6*x+4,6*x+2,x+2,x,6*x+3,3,4*x+6,4*x+1,4,2*x+6,5*x+3,2*x,4*x+6,6,x+6]];
apmod_k14p7[288,12] = [x^2+4*x+5, [0,0,4*x,6,x,4*x+4,x+2,3*x+5,4,6*x+5,6*x+3,x+2,6*x+2,x,6*x+4,3,4*x+1,3*x+1,3,2*x+1,2*x+3,2*x,4*x+1,6,6*x+6]];
apmod_k14p7[288,13] = [x^2+5*x+3, [0,0,6*x,6,x,2*x+5,x+3,5*x+4,4*x+4,2*x+6,2*x+3,5*x+2,6*x+3,4*x,2*x+6,6,2*x,5*x+2,1,6*x+3,3*x+5,3*x,3*x,3*x+2,3*x+6]];
apmod_k14p7[288,14] = [x, [0,0,2,6,4,1,2,4,4,2,1,4,2,1,0,3,5,3,6,2,2,0,2,1,2]];
apmod_k14p7[288,15] = [x, [0,0,2,1,3,1,2,3,3,2,6,4,2,6,0,3,2,3,1,5,2,0,5,1,2]];
apmod_k14p7[288,16] = [x, [0,0,2,0,0,3,5,0,0,3,0,2,3,0,0,4,0,5,0,0,5,0,0,3,6]];
apmod_k14p7[288,17] = [x, [0,0,2,0,0,6,5,0,0,3,0,5,4,0,0,0,0,4,0,0,1,0,0,4,4]];
apmod_k14p7[288,18] = [x, [0,0,3,0,2,5,2,1,5,6,6,3,4,3,6,2,6,1,0,5,6,3,0,1,2]];
apmod_k14p7[288,19] = [x, [0,0,3,0,0,1,6,0,0,4,0,5,1,0,0,4,0,4,0,0,6,0,0,5,3]];
apmod_k14p7[288,20] = [x, [0,0,3,0,5,5,2,6,2,6,1,3,4,4,1,2,1,1,0,2,6,4,0,1,2]];
apmod_k14p7[288,21] = [x, [0,0,3,0,1,2,2,6,6,0,3,3,1,5,3,6,1,2,0,5,3,4,5,4,6]];
apmod_k14p7[288,22] = [x, [0,0,3,0,1,4,4,0,6,0,3,4,3,5,5,4,0,4,3,1,6,4,4,6,0]];
apmod_k14p7[288,23] = [x, [0,0,3,0,6,2,2,1,1,0,4,3,1,2,4,6,6,2,0,2,3,3,2,4,6]];
apmod_k14p7[288,24] = [x, [0,0,3,0,6,4,4,0,1,0,4,4,3,2,2,4,0,4,4,6,6,3,3,6,0]];
apmod_k14p7[288,25] = [x, [0,0,0,0,2,6,5,2,1,1,3,5,2,1,1,1,6,2,2,3,4,2,0,5,3]];
apmod_k14p7[288,26] = [x, [0,0,0,0,5,6,5,5,6,1,4,5,2,6,6,1,1,2,5,4,4,5,0,5,3]];
apmod_k14p7[288,27] = [x, [0,0,0,6,3,2,4,0,3,3,1,5,3,6,6,4,6,5,6,2,6,1,5,2,5]];
apmod_k14p7[288,28] = [x, [0,0,0,6,2,5,3,3,6,2,0,1,6,6,4,6,0,0,4,2,5,4,2,0,6]];
apmod_k14p7[288,29] = [x, [0,0,0,6,4,2,3,0,4,4,1,5,4,6,1,3,1,5,6,5,6,1,2,5,5]];
apmod_k14p7[288,30] = [x, [0,0,0,6,4,3,2,1,6,5,3,3,3,4,3,2,4,6,6,0,1,5,5,3,5]];
apmod_k14p7[288,31] = [x, [0,0,0,1,5,5,3,4,1,2,0,1,6,1,3,6,0,0,3,5,5,3,5,0,6]];
apmod_k14p7[288,32] = [x, [0,0,0,1,4,2,4,0,4,3,6,5,3,1,1,4,1,5,1,5,6,6,2,2,5]];
apmod_k14p7[288,33] = [x, [0,0,0,1,3,2,3,0,3,4,6,5,4,1,6,3,6,5,1,2,6,6,5,5,5]];
apmod_k14p7[288,34] = [x, [0,0,0,1,3,3,2,6,1,5,4,3,3,3,4,2,3,6,1,0,1,2,2,3,5]];
apmod_k14p7[288,35] = [x, [0,0,4,6,5,5,0,4,1,3,1,3,4,1,3,4,1,1,3,0,6,3,2,3,5]];
apmod_k14p7[288,36] = [x, [0,0,4,1,2,5,0,3,6,3,6,3,4,6,4,4,6,1,4,0,6,4,5,3,5]];
apmod_k14p7[288,37] = [x, [0,0,4,0,5,5,5,1,2,1,6,3,3,3,1,5,1,1,0,2,6,3,0,6,2]];
apmod_k14p7[288,38] = [x, [0,0,4,0,2,5,5,6,5,1,1,3,3,4,6,5,6,1,0,5,6,4,0,6,2]];
apmod_k14p7[288,39] = [x, [0,0,4,0,0,4,1,0,0,4,0,2,1,0,0,0,0,5,0,0,2,0,0,5,1]];
apmod_k14p7[288,40] = [x, [0,0,4,0,0,1,1,0,0,3,0,5,6,0,0,3,0,4,0,0,6,0,0,2,3]];
apmod_k14p7[288,41] = [x, [0,0,5,6,0,2,5,4,0,1,0,6,6,1,6,1,5,3,2,1,1,1,5,0,1]];
apmod_k14p7[288,42] = [x, [0,0,5,1,0,2,5,3,0,1,0,6,6,6,1,1,2,3,5,6,1,6,2,0,1]];
apmod_k14p7[288,43] = [x, [0,0,5,4,4,5,6,4,0,5,3,5,5,3,1,4,3,6,3,5,1,3,5,4,0]];
apmod_k14p7[288,44] = [x, [0,0,5,3,3,5,6,3,0,5,4,5,5,4,6,4,4,6,4,2,1,4,2,4,0]];
apmod_k14p7[288,45] = [x, [0,0,5,0,4,5,6,4,0,5,3,5,5,3,1,4,3,6,3,5,1,3,5,4,0]];
apmod_k14p7[288,46] = [x, [0,0,5,0,3,5,6,3,0,5,4,5,5,4,6,4,4,6,4,2,1,4,2,4,0]];
apmod_k14p7[288,47] = [x, [0,0,5,0,0,3,2,0,0,4,0,2,4,0,0,3,0,5,0,0,5,0,0,4,6]];

apmod_k14p11[288,1] = [x, [0,0,2,0,0,10,7,0,0,6,0,3,9,0,0,3,0,6,0,0,9,0,0,6,3]];
apmod_k14p11[288,2] = [x, [0,0,5,4,0,0,9,8,0,5,10,10,8,9,5,4,0,7,6,10,2,9,6,3,4]];
apmod_k14p11[288,3] = [x, [0,0,5,7,0,0,9,3,0,5,1,10,8,2,6,4,0,7,5,1,2,2,5,3,4]];
apmod_k14p11[288,4] = [x, [0,0,6,7,0,0,2,3,0,6,1,10,3,2,5,7,0,7,5,10,2,2,6,8,4]];
apmod_k14p11[288,5] = [x, [0,0,6,4,0,0,2,8,0,6,10,10,3,9,6,7,0,7,6,1,2,9,5,8,4]];
apmod_k14p11[288,6] = [x, [0,0,4,0,0,7,5,0,0,9,0,5,10,0,0,0,0,5,0,0,2,0,0,0,0]];
apmod_k14p11[288,7] = [x, [0,0,0,0,0,4,6,0,0,9,0,5,10,0,0,10,0,5,0,0,9,0,0,9,0]];
apmod_k14p11[288,8] = [x, [0,0,7,0,0,7,6,0,0,2,0,5,1,0,0,0,0,5,0,0,2,0,0,0,0]];
apmod_k14p11[288,9] = [x^2+7*x+2, [0,0,7*x+2,x,0,2,x+3,5*x+2,9*x+1,2*x+6,8,6*x+8,9*x+5,6*x+4,3*x+8,9,10,4*x+3,3*x+4,5*x+7,5*x+1,7*x+5,7*x+6,4*x+3,5*x+4]];
apmod_k14p11[288,10] = [x^2+4*x+2, [0,0,4*x+2,x,0,2,10*x+3,5*x+9,9*x+10,9*x+6,3,5*x+8,2*x+5,6*x+7,3*x+3,9,1,7*x+3,3*x+7,5*x+4,6*x+1,7*x+6,7*x+5,7*x+3,6*x+4]];
apmod_k14p11[288,11] = [x^2+3, [0,0,9*x,7*x,10,8,x,8*x,5,8*x,6*x,9,0,10*x,8,10*x,8,4,2*x,3,3,6*x,10,4*x,9]];
apmod_k14p11[288,12] = [x^2+3, [0,0,9*x,4*x,1,8,x,3*x,6,8*x,5*x,9,0,x,3,10*x,3,4,9*x,8,3,5*x,1,4*x,9]];
apmod_k14p11[288,13] = [x^2+3*x+10, [0,0,4*x+1,x,0,2*x+8,2*x+2,6*x+1,2*x+8,6*x+6,3*x+6,4,3*x+5,x+7,5*x+6,7*x+7,8*x+10,5*x+6,7*x+6,5,10*x+9,8*x+3,5*x+8,2*x+9,9*x+1]];
apmod_k14p11[288,14] = [x^2+8*x+10, [0,0,7*x+1,x,0,9*x+8,9*x+2,6*x+10,2*x+3,5*x+6,3*x+5,4,8*x+5,x+4,5*x+5,4*x+7,8*x+1,6*x+6,7*x+5,6,x+9,8*x+8,5*x+3,9*x+9,2*x+1]];
apmod_k14p11[288,15] = [x^2+x+1, [0,0,10*x+2,x,0,5*x+5,5*x,2*x+1,4*x+5,10*x+6,2,2*x,5*x+3,9*x+5,5*x+10,8*x+1,6*x+7,2*x+5,8*x,x+2,2*x+9,7*x+3,6*x+9,9,9*x+7]];
apmod_k14p11[288,16] = [x^2+10*x+1, [0,0,x+2,x,0,6*x+5,6*x,2*x+10,4*x+6,x+6,9,9*x,6*x+3,9*x+6,5*x+1,3*x+1,6*x+4,9*x+5,8*x,x+9,9*x+9,7*x+8,6*x+2,9,2*x+7]];
apmod_k14p11[288,17] = [x^2+8*x+10, [0,0,4*x+10,x,0,9*x+8,2*x+9,6*x+10,9*x+8,6*x+5,3*x+5,4,3*x+6,x+4,6*x+6,7*x+4,3*x+10,6*x+6,7*x+5,5,x+9,8*x+8,6*x+8,2*x+2,2*x+1]];
apmod_k14p11[288,18] = [x^2+3*x+10, [0,0,7*x+10,x,0,2*x+8,9*x+9,6*x+1,9*x+3,5*x+5,3*x+6,4,8*x+6,x+7,6*x+5,4*x+4,3*x+1,5*x+6,7*x+6,6,10*x+9,8*x+3,6*x+3,9*x+2,9*x+1]];
apmod_k14p11[288,19] = [x^2+5*x+3, [0,0,8*x+10,8*x+9,0,9*x+2,4*x+10,x,6*x+7,x+9,10*x+4,5*x+7,6*x+7,2*x+10,7*x+8,9*x+8,6*x+7,4*x+10,2*x+9,6*x+10,9*x+2,8*x,9*x+9,10*x+2,9*x+2]];
apmod_k14p11[288,20] = [x^2+6*x+3, [0,0,3*x+10,8*x+2,0,2*x+2,7*x+10,x,6*x+4,10*x+9,10*x+7,6*x+7,5*x+7,2*x+1,7*x+3,2*x+8,6*x+4,7*x+10,2*x+2,6*x+1,2*x+2,8*x,9*x+2,x+2,2*x+2]];
apmod_k14p11[288,21] = [x^2+6*x+3, [0,0,5*x+1,x,0,5*x+8,8*x+7,2*x+10,2*x+9,10*x+1,7*x+10,9*x+8,5*x+5,10*x+3,2*x+10,8*x+8,3*x+2,5*x+8,6*x,5*x+4,8,7*x+8,9*x+4,2*x+9,2*x+10]];
apmod_k14p11[288,22] = [x^2+5*x+3, [0,0,6*x+1,x,0,6*x+8,3*x+7,2*x+1,2*x+2,x+1,7*x+1,2*x+8,6*x+5,10*x+8,2*x+1,3*x+8,3*x+9,6*x+8,6*x,5*x+7,8,7*x+3,9*x+7,9*x+9,9*x+10]];
apmod_k14p11[288,23] = [x^2+6*x+1, [0,0,7*x+5,x,0,x+4,6*x+10,9*x+5,5*x+5,x+1,5*x+6,8*x+6,8*x+1,8,9*x+8,6*x+2,4*x+4,6*x+8,6*x+5,7*x,7,6*x+1,7*x+1,x+6,10*x+7]];
apmod_k14p11[288,24] = [x^2+5*x+1, [0,0,4*x+5,x,0,10*x+4,5*x+10,9*x+6,5*x+6,10*x+1,5*x+5,3*x+6,3*x+1,3,9*x+3,5*x+2,4*x+7,5*x+8,6*x+6,7*x,7,6*x+10,7*x+10,10*x+6,x+7]];
apmod_k14p11[288,25] = [x, [0,0,10,6,4,5,8,4,4,1,10,2,8,2,2,3,9,8,5,4,8,9,2,7,0]];
apmod_k14p11[288,26] = [x, [0,0,10,5,7,5,8,7,7,1,1,2,8,9,9,3,2,8,6,7,8,2,9,7,0]];
apmod_k14p11[288,27] = [x, [0,0,10,0,0,1,10,0,0,4,0,3,8,0,0,6,0,6,0,0,2,0,0,1,8]];
apmod_k14p11[288,28] = [x, [0,0,1,7,2,4,9,8,5,2,1,6,0,4,1,1,9,6,4,3,0,4,0,2,4]];
apmod_k14p11[288,29] = [x, [0,0,1,4,9,4,9,3,6,2,10,6,0,7,10,1,2,6,7,8,0,7,0,2,4]];
apmod_k14p11[288,30] = [x, [0,0,1,5,0,7,3,1,0,8,3,3,6,7,9,9,5,3,4,3,2,8,5,1,6]];
apmod_k14p11[288,31] = [x, [0,0,1,6,0,7,3,10,0,8,8,3,6,4,2,9,6,3,7,8,2,3,6,1,6]];
apmod_k14p11[288,32] = [x, [0,0,8,10,0,5,5,3,4,4,3,0,2,3,3,9,10,8,5,10,10,1,2,0,9]];
apmod_k14p11[288,33] = [x, [0,0,8,1,0,5,5,8,7,4,8,0,2,8,8,9,1,8,6,1,10,10,9,0,9]];
apmod_k14p11[288,34] = [x^2+4, [0,0,8,x,0,8,6,7*x,2*x,5,6*x,1,4,3*x,8*x,5,3*x,1,7*x,2*x,6,9*x,4*x,1,5]];
apmod_k14p11[288,35] = [x, [0,0,9,0,0,10,4,0,0,5,0,3,2,0,0,8,0,6,0,0,9,0,0,5,3]];
apmod_k14p11[288,36] = [x, [0,0,9,9,0,8,8,5,1,0,2,10,7,8,7,0,6,2,8,5,10,7,1,2,6]];
apmod_k14p11[288,37] = [x, [0,0,9,10,5,2,1,0,7,5,10,1,6,8,10,6,8,7,5,0,0,4,3,3,0]];
apmod_k14p11[288,38] = [x, [0,0,9,2,0,8,8,6,10,0,9,10,7,3,4,0,5,2,3,6,10,4,10,2,6]];
apmod_k14p11[288,39] = [x, [0,0,9,1,6,2,1,0,4,5,1,1,6,3,1,6,3,7,6,0,0,7,8,3,0]];
apmod_k14p11[288,40] = [x, [0,0,3,3,8,10,0,8,10,5,9,5,6,1,6,0,9,7,4,4,1,4,9,6,10]];
apmod_k14p11[288,41] = [x, [0,0,3,8,3,10,0,3,1,5,2,5,6,10,5,0,2,7,7,7,1,7,2,6,10]];
apmod_k14p11[288,42] = [x^2+9, [0,0,3,x,0,6,1,6*x,7*x,1,8*x,7,1,2*x,5*x,0,x,2,10*x,2*x,6,0,2*x,5,1]];
apmod_k14p11[288,43] = [x^2+4, [0,0,3,x,0,8,5,7*x,9*x,6,6*x,1,7,3*x,3*x,6,8*x,1,7*x,9*x,6,9*x,7*x,10,5]];

apmod_k14p13[288,1] = [x, [0,0,4,0,0,7,8,0,0,9,0,11,5,0,0,9,0,3,0,0,6,0,0,3,8]];
apmod_k14p13[288,2] = [x, [0,0,12,10,2,1,3,11,4,11,9,5,12,6,4,9,6,9,10,11,11,8,9,11,10]];
apmod_k14p13[288,3] = [x, [0,0,12,3,11,1,3,2,9,11,4,5,12,7,9,9,7,9,3,2,11,5,4,11,10]];
apmod_k14p13[288,4] = [x, [0,0,6,6,12,1,11,7,12,11,4,1,3,2,3,8,7,2,0,2,7,1,11,8,12]];
apmod_k14p13[288,5] = [x, [0,0,6,7,1,1,11,6,1,11,9,1,3,11,10,8,6,2,0,11,7,12,2,8,12]];
apmod_k14p13[288,6] = [x^2+8, [0,0,10,x,2*x,12,3,11*x,4*x,3,0,3,0,3*x,12*x,9,2*x,0,6*x,10*x,1,9*x,5*x,10,11]];
apmod_k14p13[288,7] = [x, [0,0,7,6,2,12,6,7,0,4,8,0,8,10,5,7,7,7,7,8,10,1,2,4,7]];
apmod_k14p13[288,8] = [x, [0,0,7,7,11,12,6,6,0,4,5,0,8,3,8,7,6,7,6,5,10,12,11,4,7]];
apmod_k14p13[288,9] = [x^2+6*x+7, [0,0,9*x+10,x,3*x+1,1,11,12*x,2*x,11,7*x+2,5*x+9,4*x+12,6*x+6,3*x+5,8*x,8*x+4,3*x+9,8*x+3,5*x+5,8*x+12,1,5*x+1,12*x+9,8*x+4]];
apmod_k14p13[288,10] = [x^2+7*x+7, [0,0,4*x+10,x,3*x+12,1,11,12*x,2*x,11,7*x+11,8*x+9,9*x+12,6*x+7,3*x+8,5*x,8*x+9,10*x+9,8*x+10,5*x+8,5*x+12,12,5*x+12,x+9,5*x+4]];
apmod_k14p13[288,11] = [x^2+7, [0,0,4*x,2*x,6,12,x,3*x,10,8*x,2*x,11,9*x,x,2,x,12,8,10*x,2,4,0,11,12*x,6]];
apmod_k14p13[288,12] = [x^2+7, [0,0,4*x,11*x,7,12,x,10*x,3,8*x,11*x,11,9*x,12*x,11,x,1,8,3*x,11,4,0,2,12*x,6]];
apmod_k14p13[288,13] = [x^4+10*x^2+5, [0,0,x^2+12,x,5*x^3+9*x,1,x^2+8,5*x^3+9*x,0,2,2*x^3+12*x,12*x^2+1,2*x^2,8*x^3+3*x,12*x,11*x^2+8,11*x^3+3*x,2*x^2,12*x^3+2*x,7*x^3+7*x,7,10*x^3+x,5*x^3+7*x,6,4*x^2+3]];
apmod_k14p13[288,14] = [x^2+7, [0,0,2*x,4*x,3,12,x,5*x,3,4*x,4*x,11,11*x,x,12,x,2,1,8*x,12,5,0,8,5*x,6]];
apmod_k14p13[288,15] = [x^2+7, [0,0,2*x,9*x,10,12,x,8*x,10,4*x,9*x,11,11*x,12*x,1,x,11,1,5*x,1,5,0,5,5*x,6]];
apmod_k14p13[288,16] = [x, [0,0,9,0,0,7,5,0,0,4,0,11,8,0,0,4,0,3,0,0,6,0,0,10,8]];
apmod_k14p13[288,17] = [x, [0,0,9,9,11,12,4,6,0,9,1,6,12,0,1,11,6,8,6,12,10,12,12,9,7]];
apmod_k14p13[288,18] = [x, [0,0,9,4,2,12,4,7,0,9,12,6,12,0,12,11,7,8,7,1,10,1,1,9,7]];
apmod_k14p13[288,19] = [x^2+7*x+4, [0,0,12*x+4,x,11*x+6,12,11*x+6,12*x+4,2*x+5,2*x+11,x+4,11*x+6,x+4,2*x+9,2*x+3,11*x+10,4*x+12,11*x+1,10*x+8,3,11*x+6,4*x+1,4*x+8,3*x,2*x+6]];
apmod_k14p13[288,20] = [x^2+6*x+4, [0,0,x+4,x,11*x+7,12,2*x+6,12*x+9,2*x+8,11*x+11,x+9,2*x+6,12*x+4,2*x+4,2*x+10,2*x+10,4*x+1,2*x+1,10*x+5,10,2*x+6,4*x+12,4*x+5,10*x,11*x+6]];
apmod_k14p13[288,21] = [x^4+6*x^2+2, [0,0,7*x^2+9,x,3*x^3+4*x,1,12*x^2+12,6*x^3+5*x,0,4,x,2*x^2+4,6*x^2+8,7*x^3+7*x,4*x^3+5*x,2*x^2+10,9*x^3+8*x,12*x^2+10,7*x^3+4*x,3*x^3+4*x,6,12*x^3+12*x,3*x^3,5*x^2+11,11*x^2+9]];
apmod_k14p13[288,22] = [x^2+2*x+9, [0,0,x,x,2,12,11*x+11,12*x+9,11*x,11*x+11,10*x+9,2*x+11,12*x,11*x+9,4*x+2,11*x+7,2*x+6,11*x+3,x+5,2*x+2,2*x+11,4*x+4,11*x+10,5*x+4,11*x+11]];
apmod_k14p13[288,23] = [x^2+11*x+9, [0,0,12*x,x,11,12,2*x+11,12*x+4,11*x,2*x+11,10*x+4,11*x+11,x,11*x+4,4*x+11,2*x+7,2*x+7,2*x+3,x+8,2*x+11,11*x+11,4*x+9,11*x+3,8*x+4,2*x+11]];
apmod_k14p13[288,24] = [x^4+6*x^2+2, [0,0,6*x^2+4,x,10*x^3+9*x,1,x^2+1,6*x^3+5*x,0,9,x,2*x^2+4,7*x^2+5,7*x^3+7*x,9*x^3+8*x,11*x^2+3,4*x^3+5*x,12*x^2+10,7*x^3+4*x,10*x^3+9*x,6,12*x^3+12*x,10*x^3,8*x^2+2,11*x^2+9]];
apmod_k14p13[288,25] = [x, [0,0,11,9,9,11,6,9,0,11,4,11,11,4,5,3,4,6,4,3,7,4,1,3,12]];
apmod_k14p13[288,26] = [x, [0,0,11,2,2,12,7,2,0,11,11,10,11,5,11,2,10,6,12,12,7,4,6,3,10]];
apmod_k14p13[288,27] = [x, [0,0,11,11,11,12,7,11,0,11,2,10,11,8,2,2,3,6,1,1,7,9,7,3,10]];
apmod_k14p13[288,28] = [x, [0,0,11,4,4,11,6,4,0,11,9,11,11,9,8,3,9,6,9,10,7,9,12,3,12]];
apmod_k14p13[288,29] = [x, [0,0,11,0,2,1,0,9,4,8,5,2,7,4,6,4,6,2,9,6,11,3,2,3,11]];
apmod_k14p13[288,30] = [x, [0,0,11,0,11,1,0,4,9,8,8,2,7,9,7,4,7,2,4,7,11,10,11,3,11]];
apmod_k14p13[288,31] = [x, [0,0,2,11,7,12,2,6,0,6,7,2,10,5,6,7,7,3,11,12,12,9,6,7,12]];
apmod_k14p13[288,32] = [x, [0,0,2,2,6,12,2,7,0,6,6,2,10,8,7,7,6,3,2,1,12,4,7,7,12]];
apmod_k14p13[288,33] = [x, [0,0,2,0,0,6,11,0,0,10,0,11,3,0,0,12,0,3,0,0,7,0,0,3,5]];
apmod_k14p13[288,34] = [x, [0,0,2,0,2,1,0,4,4,5,8,2,6,9,6,9,6,2,4,6,11,10,2,10,11]];
apmod_k14p13[288,35] = [x, [0,0,2,0,9,1,6,5,5,11,8,3,7,9,0,1,12,3,5,0,12,9,9,10,10]];
apmod_k14p13[288,36] = [x, [0,0,2,0,11,1,0,9,9,5,5,2,6,4,7,9,7,2,9,7,11,3,11,10,11]];
apmod_k14p13[288,37] = [x, [0,0,2,0,4,1,6,8,8,11,5,3,7,4,0,1,1,3,8,0,12,4,4,10,10]];
apmod_k14p13[288,38] = [x, [0,0,0,11,0,1,11,2,8,7,11,7,0,9,8,6,4,2,11,4,11,1,1,1,8]];
apmod_k14p13[288,39] = [x, [0,0,0,11,4,1,6,7,0,2,6,10,5,1,12,6,0,2,11,5,1,9,8,9,1]];
apmod_k14p13[288,40] = [x, [0,0,0,2,9,1,6,6,0,2,7,10,5,12,1,6,0,2,2,8,1,4,5,9,1]];
apmod_k14p13[288,41] = [x, [0,0,0,2,0,1,11,11,5,7,2,7,0,4,5,6,9,2,2,9,11,12,12,1,8]];
apmod_k14p13[288,42] = [x^2+6, [0,0,0,4*x,4*x,12,0,4*x,8*x,4,x,6,12,0,4*x,4,6*x,6,12*x,x,3,10*x,7*x,9,11]];
apmod_k14p13[288,43] = [x^2+6, [0,0,0,4*x,9*x,12,0,4*x,5*x,9,x,6,1,0,9*x,9,7*x,6,12*x,12*x,3,10*x,6*x,4,11]];

apmod_k14p17[288,1] = [x, [0,0,2,0,0,4,2,0,0,1,0,1,3,0,0,16,0,1,0,0,13,0,0,16,3]];
apmod_k14p17[288,2] = [x, [0,0,7,14,11,15,2,15,15,7,2,7,14,2,15,11,3,13,9,1,12,8,14,4,8]];
apmod_k14p17[288,3] = [x, [0,0,7,3,6,15,2,2,2,7,15,7,14,15,2,11,14,13,8,16,12,9,3,4,8]];
apmod_k14p17[288,4] = [x^2+11*x+12, [0,0,16*x+11,x,8*x+15,6*x+4,x+11,12*x+1,15*x+13,4*x+7,15*x,11*x+11,11*x+3,6,11*x+1,11*x+8,9*x+14,7*x+5,9,8*x+16,3*x+9,7*x+6,3*x+12,x+2,7*x+1]];
apmod_k14p17[288,5] = [x^2+6*x+12, [0,0,x+11,x,8*x+2,11*x+4,16*x+11,12*x+16,15*x+4,13*x+7,15*x,6*x+11,6*x+3,11,11*x+16,6*x+8,9*x+3,10*x+5,8,8*x+1,14*x+9,7*x+11,3*x+5,16*x+2,10*x+1]];
apmod_k14p17[288,6] = [x^2+7*x+15, [0,0,x+15,x,x+11,16*x+13,12*x+9,8*x+5,13*x+3,2*x+15,5*x+5,10*x+6,10*x+8,8*x+5,12*x,7*x+12,3*x+16,14*x+8,3*x+15,6*x+2,10*x+3,x+5,11*x+8,12*x+11,14*x+2]];
apmod_k14p17[288,7] = [x^2+10*x+15, [0,0,16*x+15,x,x+6,x+13,5*x+9,8*x+12,13*x+14,15*x+15,5*x+12,7*x+6,7*x+8,8*x+12,12*x,10*x+12,3*x+1,3*x+8,3*x+2,6*x+15,7*x+3,x+12,11*x+9,5*x+11,3*x+2]];
apmod_k14p17[288,8] = [x^2+8*x+2, [0,0,7*x+1,x,9*x+13,16*x+8,8*x+16,7*x+14,6*x+4,9*x+1,13*x+7,14*x+7,11*x+4,16*x+7,2*x+6,x+16,15*x+2,5*x+3,8*x+15,4*x+6,9*x+11,5*x+1,3*x+16,15*x+4,2*x+4]];
apmod_k14p17[288,9] = [x^2+9*x+2, [0,0,10*x+1,x,9*x+4,x+8,9*x+16,7*x+3,6*x+13,8*x+1,13*x+10,3*x+7,6*x+4,16*x+10,2*x+11,16*x+16,15*x+15,12*x+3,8*x+2,4*x+11,8*x+11,5*x+16,3*x+1,2*x+4,15*x+4]];
apmod_k14p17[288,10] = [x^4+4*x^2+14, [0,0,15*x^2+3,x,5*x^3+14*x,15*x^2+16,10*x^2+10,14*x^3+14*x,14*x^3+15*x,8*x^2+15,x^3+x,15*x^2+13,3,10*x^3+6*x,7*x,7*x^2+6,15*x^3+8*x,8*x^2+11,4*x^3+10*x,13*x^3+12*x,16*x^2+14,12*x^3+13*x,16*x^3+9*x,4*x^2,11*x^2+11]];
apmod_k14p17[288,11] = [x^2+10*x+15, [0,0,x+2,x,16*x+11,x+13,12*x+8,8*x+12,4*x+3,2*x+2,5*x+12,7*x+6,10*x+9,8*x+12,5*x,7*x+5,14*x+16,3*x+8,3*x+2,11*x+2,7*x+3,x+12,6*x+8,12*x+6,3*x+2]];
apmod_k14p17[288,12] = [x^2+7*x+15, [0,0,16*x+2,x,16*x+6,16*x+13,5*x+8,8*x+5,4*x+14,15*x+2,5*x+5,10*x+6,7*x+9,8*x+5,5*x,10*x+5,14*x+1,14*x+8,3*x+15,11*x+15,10*x+3,x+5,6*x+9,5*x+6,14*x+2]];
apmod_k14p17[288,13] = [x^3+8*x+16, [0,0,5*x^2+6*x+8,x,9*x^2+14*x+13,16*x^2+x+8,11*x^2+15*x+16,4*x^2+5*x+12,10*x^2+16*x+5,7*x^2+6*x+16,2*x^2+9*x+14,5*x^2+6,2*x^2+6*x+9,5*x^2+13*x+12,x^2+5*x+1,2*x+9,11*x^2+12*x+7,15*x^2+8*x+8,6*x^2+10*x+14,4*x^2+7*x+14,13*x^2+7*x+10,13*x^2+10*x+2,7*x^2+9*x+11,16*x^2+16*x+8,x^2+13]];
apmod_k14p17[288,14] = [x^3+8*x+1, [0,0,5*x^2+11*x+8,x,8*x^2+14*x+4,16*x^2+16*x+8,11*x^2+2*x+16,13*x^2+5*x+5,7*x^2+16*x+12,7*x^2+11*x+16,15*x^2+9*x+3,5*x^2+6,2*x^2+11*x+9,12*x^2+13*x+5,16*x^2+5*x+16,15*x+9,6*x^2+12*x+10,15*x^2+9*x+8,11*x^2+10*x+3,13*x^2+7*x+3,13*x^2+10*x+10,4*x^2+10*x+15,10*x^2+9*x+6,16*x^2+x+8,x^2+13]];
apmod_k14p17[288,15] = [x^3+11*x^2+7*x+10, [0,0,5*x,x,x^2+16,8*x^2+4*x+6,6*x^2+6*x+8,x^2+4*x+7,11*x^2+13*x,8*x^2+10*x+15,12*x^2+8*x+3,16*x^2+14*x+5,13*x^2+2*x,x^2+15*x+4,2*x^2+7*x+9,12*x^2+2*x,10*x^2+x+12,13*x^2+16*x+3,15*x^2+5*x+13,5*x^2+x+5,10*x^2+9,10*x^2+7*x+2,6*x+3,10*x^2+14*x+15,5*x^2+2*x+1]];
apmod_k14p17[288,16] = [x^3+6*x^2+7*x+7, [0,0,12*x,x,16*x^2+1,8*x^2+13*x+6,6*x^2+11*x+8,16*x^2+4*x+10,6*x^2+13*x,8*x^2+7*x+15,5*x^2+8*x+14,16*x^2+3*x+5,13*x^2+15*x,16*x^2+15*x+13,15*x^2+7*x+8,12*x^2+15*x,7*x^2+x+5,13*x^2+x+3,2*x^2+5*x+4,12*x^2+x+12,10*x^2+9,7*x^2+7*x+15,6*x+14,10*x^2+3*x+15,5*x^2+15*x+1]];
apmod_k14p17[288,17] = [x^6+x^4+5*x^2+11, [0,0,12*x^5+3*x^3+6*x,11*x^5+4*x^3+5*x,7*x^4+14*x^2,8*x^4+6*x^2+5,x,13*x^5+12*x^3+x,2*x^4+x^2+3,2*x^5+16*x^3+15*x,12*x^5+3*x^3+12*x,15*x^4+8*x^2+10,10*x,3*x^5+11*x,10*x^4+8*x^2+5,16*x^5+12*x^3+15*x,7*x^4+11*x^2+5,12*x^4+4*x^2+6,13*x^5+14*x^3+12*x,14*x^4+16*x^2+2,10*x^4+12*x^2+11,6*x^5+13*x^3,2*x^4+12*x^2+1,2*x^5+11*x^3+2*x,11*x^4+6*x^2+3]];
apmod_k14p17[288,18] = [x^6+x^4+5*x^2+11, [0,0,12*x^5+3*x^3+6*x,6*x^5+13*x^3+12*x,10*x^4+3*x^2,8*x^4+6*x^2+5,x,4*x^5+5*x^3+16*x,15*x^4+16*x^2+14,2*x^5+16*x^3+15*x,5*x^5+14*x^3+5*x,15*x^4+8*x^2+10,10*x,14*x^5+6*x,7*x^4+9*x^2+12,16*x^5+12*x^3+15*x,10*x^4+6*x^2+12,12*x^4+4*x^2+6,4*x^5+3*x^3+5*x,3*x^4+x^2+15,10*x^4+12*x^2+11,11*x^5+4*x^3,15*x^4+5*x^2+16,2*x^5+11*x^3+2*x,11*x^4+6*x^2+3]];
apmod_k14p17[288,19] = [x, [0,0,1,16,5,2,5,3,9,13,4,10,7,0,9,10,6,16,9,8,15,5,16,16,14]];
apmod_k14p17[288,20] = [x, [0,0,1,8,2,10,12,0,15,7,16,0,8,8,13,13,13,11,0,9,13,7,12,0,12]];
apmod_k14p17[288,21] = [x, [0,0,1,1,12,2,5,14,8,13,13,10,7,0,8,10,11,16,8,9,15,12,1,16,14]];
apmod_k14p17[288,22] = [x, [0,0,1,9,15,10,12,0,2,7,1,0,8,9,4,13,4,11,0,8,13,10,5,0,12]];
apmod_k14p17[288,23] = [x, [0,0,10,14,6,15,15,15,2,10,2,7,3,2,2,6,14,13,9,16,12,8,3,13,8]];
apmod_k14p17[288,24] = [x, [0,0,10,3,11,15,15,2,15,10,15,7,3,15,15,6,3,13,8,1,12,9,14,13,8]];
apmod_k14p17[288,25] = [x, [0,0,10,0,8,15,9,16,11,10,0,0,13,8,12,7,6,0,14,16,6,6,10,9,15]];
apmod_k14p17[288,26] = [x, [0,0,10,0,9,15,9,1,6,10,0,0,13,9,5,7,11,0,3,1,6,11,7,9,15]];
apmod_k14p17[288,27] = [x, [0,0,5,6,11,4,2,1,6,9,13,9,13,16,9,1,3,3,9,7,8,1,3,9,3]];
apmod_k14p17[288,28] = [x, [0,0,5,11,6,4,2,16,11,9,4,9,13,1,8,1,14,3,8,10,8,16,14,9,3]];
apmod_k14p17[288,29] = [x, [0,0,5,15,15,13,2,11,15,15,9,15,3,11,0,1,6,13,0,7,13,2,6,16,4]];
apmod_k14p17[288,30] = [x, [0,0,5,0,0,13,8,0,0,2,0,1,7,0,0,5,0,1,0,0,4,0,0,7,14]];
apmod_k14p17[288,31] = [x, [0,0,5,2,2,13,2,6,2,15,8,15,3,6,0,1,11,13,0,10,13,15,11,16,4]];
apmod_k14p17[288,32] = [x, [0,0,12,4,1,11,13,2,7,9,3,9,4,6,8,16,1,16,13,12,10,2,11,9,7]];
apmod_k14p17[288,33] = [x, [0,0,12,13,16,11,13,15,10,9,14,9,4,11,9,16,16,16,4,5,10,15,6,9,7]];
apmod_k14p17[288,34] = [x, [0,0,12,14,2,9,7,5,14,16,0,13,5,10,12,11,16,11,13,14,9,11,4,10,13]];
apmod_k14p17[288,35] = [x, [0,0,12,3,15,9,7,12,3,16,0,13,5,7,5,11,1,11,4,3,9,6,13,10,13]];
apmod_k14p17[288,36] = [x, [0,0,12,0,0,13,9,0,0,15,0,1,10,0,0,12,0,1,0,0,4,0,0,10,14]];

apmod_k14p19[288,1] = [x, [0,0,2,0,0,4,16,0,0,9,0,16,11,0,0,10,0,12,0,0,3,0,0,10,9]];
apmod_k14p19[288,2] = [x, [0,0,17,0,0,4,3,0,0,10,0,16,8,0,0,9,0,12,0,0,3,0,0,9,9]];
apmod_k14p19[288,3] = [x, [0,0,11,0,0,15,6,0,0,3,0,16,12,0,0,15,0,12,0,0,16,0,0,6,10]];
apmod_k14p19[288,4] = [x, [0,0,13,16,13,17,18,15,2,2,0,3,9,10,6,14,0,18,4,17,0,7,9,9,1]];
apmod_k14p19[288,5] = [x, [0,0,13,3,6,17,18,4,17,2,0,3,9,9,13,14,0,18,15,2,0,12,10,9,1]];
apmod_k14p19[288,6] = [x^2+1, [0,0,15,0,x,6,10,15*x,x,11,16*x,9,12,10*x,15*x,6,x,3,0,8*x,0,6*x,15*x,17,13]];
apmod_k14p19[288,7] = [x, [0,0,3,11,17,6,8,9,3,17,6,18,11,11,2,18,18,15,12,10,0,1,6,11,7]];
apmod_k14p19[288,8] = [x, [0,0,3,8,2,6,8,10,16,17,13,18,11,8,17,18,1,15,7,9,0,18,13,11,7]];
apmod_k14p19[288,9] = [x, [0,0,6,3,13,17,1,4,2,17,0,3,10,9,6,5,0,18,15,17,0,12,9,10,1]];
apmod_k14p19[288,10] = [x, [0,0,6,16,6,17,1,15,17,17,0,3,10,10,13,5,0,18,4,2,0,7,10,10,1]];
apmod_k14p19[288,11] = [x^4+15*x^2+15, [0,0,2*x^2,x,3*x^3+2*x,13*x^2+1,18*x^2+6,9*x^3+17*x,14*x^3,9*x^2,15*x^3+3*x,14*x^2+14,15*x^2+15,2*x^3+17*x,17*x^3+3*x,10*x^2+2,17*x^3+5*x,8*x^2+12,8*x,11*x^3+6*x,15*x^2+7,13*x^3+2*x,x^3+2*x,8*x^2+1,6*x^2+18]];
apmod_k14p19[288,12] = [x^2+3*x+18, [0,0,17*x+9,x,15*x+13,8*x+15,6*x+11,15*x+17,16*x+9,3*x+3,11*x+13,12*x+14,4*x+14,2*x+12,6*x+8,4*x+4,2*x+7,2*x+18,6*x+15,13*x+3,9*x+16,14*x+12,2*x+15,4*x+3,12*x+13]];
apmod_k14p19[288,13] = [x^2+16*x+18, [0,0,2*x+9,x,15*x+6,11*x+15,13*x+11,15*x+2,16*x+10,16*x+3,11*x+6,7*x+14,15*x+14,2*x+7,6*x+11,15*x+4,2*x+12,17*x+18,6*x+4,13*x+16,10*x+16,14*x+7,2*x+4,15*x+3,7*x+13]];
apmod_k14p19[288,14] = [x^2+13*x+15, [0,0,7*x+12,x,14*x,6*x+3,14*x+10,4*x+3,17*x+13,3*x+10,3*x+1,15*x+3,x+10,9*x+7,7*x+3,15*x+17,7*x+18,18*x+9,18*x,13*x+10,18*x+12,7*x+8,3*x+9,16*x+11,5*x+12]];
apmod_k14p19[288,15] = [x^2+6*x+15, [0,0,12*x+12,x,14*x,13*x+3,5*x+10,4*x+16,17*x+6,16*x+10,3*x+18,4*x+3,18*x+10,9*x+12,7*x+16,4*x+17,7*x+1,x+9,18*x,13*x+9,x+12,7*x+11,3*x+10,3*x+11,14*x+12]];
apmod_k14p19[288,16] = [x^2+17*x+12, [0,0,7*x+12,x,18*x+3,11*x+16,12*x+2,8,10,11*x+11,x+15,18*x+10,10*x+9,7,16*x+6,3*x+7,5*x+13,8*x+10,10,3*x+16,16,7*x+10,x+1,7,10*x+13]];
apmod_k14p19[288,17] = [x^2+2*x+12, [0,0,12*x+12,x,18*x+16,8*x+16,7*x+2,11,9,8*x+11,x+4,x+10,9*x+9,12,16*x+13,16*x+7,5*x+6,11*x+10,9,3*x+3,16,7*x+9,x+18,7,9*x+13]];
apmod_k14p19[288,18] = [x^2+11*x+17, [0,0,10*x+9,x,13*x+4,x+4,11*x+11,5*x+17,3*x+2,6*x+13,12*x+13,11*x+5,18*x+18,13*x+12,12*x+11,x+10,5,6*x,4*x+15,17*x+16,18*x+8,16*x+1,3*x+17,x+8,15*x+15]];
apmod_k14p19[288,19] = [x^2+8*x+17, [0,0,9*x+9,x,13*x+15,18*x+4,8*x+11,5*x+2,3*x+17,13*x+13,12*x+6,8*x+5,x+18,13*x+7,12*x+8,18*x+10,14,13*x,4*x+4,17*x+3,x+8,16*x+18,3*x+2,18*x+8,4*x+15]];
apmod_k14p19[288,20] = [x^2+10*x+7, [0,0,9*x+12,x,15*x+2,16*x+3,13*x+15,12*x+15,13*x+16,17*x+16,13*x+15,8*x+16,7*x+14,5*x+1,15*x+4,16*x+12,3*x+4,15*x+15,6*x+15,13*x+13,4*x+3,12*x+11,17*x+4,13*x,3*x+4]];
apmod_k14p19[288,21] = [x^2+9*x+7, [0,0,10*x+12,x,15*x+17,3*x+3,6*x+15,12*x+4,13*x+3,2*x+16,13*x+4,11*x+16,12*x+14,5*x+18,15*x+15,3*x+12,3*x+15,4*x+15,6*x+4,13*x+6,15*x+3,12*x+8,17*x+15,6*x,16*x+4]];
apmod_k14p19[288,22] = [x^4+15*x^2+15, [0,0,17*x^2,x,16*x^3+17*x,13*x^2+1,x^2+13,9*x^3+17*x,5*x^3,10*x^2,15*x^3+3*x,14*x^2+14,4*x^2+4,2*x^3+17*x,2*x^3+16*x,9*x^2+17,2*x^3+14*x,8*x^2+12,8*x,8*x^3+13*x,15*x^2+7,13*x^3+2*x,18*x^3+17*x,11*x^2+18,6*x^2+18]];
apmod_k14p19[288,23] = [x^3+13*x^2+2*x+18, [0,0,14*x^2+16*x+7,x,7*x^2+12*x+3,10*x^2+16*x+2,9*x^2+11,17*x^2+11*x+16,7*x^2+18*x+18,4*x^2+17*x+12,2*x^2+7*x+1,6*x^2+4*x+8,2*x^2+13*x+1,9*x^2+17*x+18,9*x^2+2*x+9,8*x^2+4*x+17,12*x^2+x+4,10*x^2+16*x+18,10*x^2+5*x+12,11*x^2+12*x+13,11*x^2+x+14,12*x^2+17*x+9,x^2+14*x+17,13*x^2+5*x+4,4*x^2+11*x+8]];
apmod_k14p19[288,24] = [x^3+6*x^2+2*x+1, [0,0,14*x^2+3*x+7,x,12*x^2+12*x+16,10*x^2+3*x+2,9*x^2+11,2*x^2+11*x+3,12*x^2+18*x+1,4*x^2+2*x+12,17*x^2+7*x+18,6*x^2+15*x+8,2*x^2+6*x+1,10*x^2+17*x+1,10*x^2+2*x+10,8*x^2+15*x+17,7*x^2+x+15,10*x^2+3*x+18,9*x^2+5*x+7,8*x^2+12*x+6,11*x^2+18*x+14,7*x^2+17*x+10,18*x^2+14*x+2,13*x^2+14*x+4,4*x^2+8*x+8]];
apmod_k14p19[288,25] = [x^6+4*x^2+11, [0,0,9*x^5+6*x^3,9*x^5+5*x^3+7*x,2*x^4+7*x^2+5,18*x^4+9*x^2+14,x,10*x^5+4*x^3+8*x,2*x^4+8*x^2+2,8*x^5+3*x^3+x,6*x^5+12*x^3+10*x,18*x^4+8*x^2+15,9*x^5+9*x^3,7*x^5+18*x^3+17*x,5*x^4+18*x^2+15,8*x^5+x^3+x,4*x^4+12*x^2+17,3*x^4+6*x^2+15,2*x^5+4*x^3+11*x,11*x^4+18*x^2+13,13*x^4+14*x^2+1,2*x^5+10*x^3+x,15*x^4+x^2+3,9*x^5+12*x^3+14*x,14*x^4+5*x^2+12]];
apmod_k14p19[288,26] = [x^6+4*x^2+11, [0,0,9*x^5+6*x^3,10*x^5+14*x^3+12*x,17*x^4+12*x^2+14,18*x^4+9*x^2+14,x,9*x^5+15*x^3+11*x,17*x^4+11*x^2+17,8*x^5+3*x^3+x,13*x^5+7*x^3+9*x,18*x^4+8*x^2+15,9*x^5+9*x^3,12*x^5+x^3+2*x,14*x^4+x^2+4,8*x^5+x^3+x,15*x^4+7*x^2+2,3*x^4+6*x^2+15,17*x^5+15*x^3+8*x,8*x^4+x^2+6,13*x^4+14*x^2+1,17*x^5+9*x^3+18*x,4*x^4+18*x^2+16,9*x^5+12*x^3+14*x,14*x^4+5*x^2+12]];
apmod_k14p19[288,27] = [x, [0,0,5,17,3,3,4,7,6,9,11,11,2,1,4,16,2,2,1,14,1,10,15,8,17]];
apmod_k14p19[288,28] = [x, [0,0,5,18,0,2,4,11,0,3,10,16,11,13,15,18,16,18,8,11,16,14,13,16,14]];
apmod_k14p19[288,29] = [x, [0,0,5,2,16,3,4,12,13,9,8,11,2,18,15,16,17,2,18,5,1,9,4,8,17]];
apmod_k14p19[288,30] = [x, [0,0,5,1,0,2,4,8,0,3,9,16,11,6,4,18,3,18,11,8,16,5,6,16,14]];
apmod_k14p19[288,31] = [x, [0,0,10,18,2,8,5,11,16,9,3,12,0,13,16,15,0,18,7,8,18,3,13,12,5]];
apmod_k14p19[288,32] = [x, [0,0,10,12,10,15,13,15,4,1,15,18,9,3,1,12,0,12,3,13,2,14,6,3,8]];
apmod_k14p19[288,33] = [x, [0,0,10,7,9,15,13,4,15,1,4,18,9,16,18,12,0,12,16,6,2,5,13,3,8]];
apmod_k14p19[288,34] = [x, [0,0,10,1,17,8,5,8,3,9,16,12,0,6,3,15,0,18,12,11,18,16,6,12,5]];