Q(rt29) Disc=29 -------------------- n=4 Gram Matrix A= [4,2,-2,-rt29] [2,2,-1,1/2*(-rt29-1)] [-2,-1,2,1/2*(rt29+1)] [-rt29,1/2*(-rt29-1),1/2*(rt29+1),8] h=3 Automorphism group size: [576, 144, 144] Neighbour Matrices: N(P)=4 [ 1 8 16] [ 2 11 12] [ 4 12 9] CharPoly = (x-25)(x-1)(x+5) N(P)=9 [16 48 36] [12 46 42] [ 9 42 49] CharPoly = (x-100)(x-10)(x-1) N(P)=5 [ 0 0 36] [ 0 18 18] [ 9 18 9] CharPoly = (x-36)(x-9)(x+18) N(P)=7 [16 32 16] [ 8 32 24] [ 4 24 36] CharPoly = (x-64)(x-16)(x-4) -------------------- n=8 Gram Matrix A oplus A Mass = 202.34 Too big