Q(rt41) Disc=41 -------------------- n=4 Gram Matrix A= [2,-1,0,1/2*(rt41+3)] [-1,2,0,1/2*(-rt41-3)] [0,0,2,1] [1/2*(rt41+3),1/2*(-rt41-3),1,rt41+9] h=3 Automorphism group size: [144, 16, 24] Neighbour Matrices: N(P)=2 [0 9 0] [1 4 4] [0 6 3] CharPoly = (x-9)(x-1)(x+3) N(P)=9 [ 1 81 18] [ 9 49 42] [ 3 63 34] CharPoly = (x-100)(x-4)(x+20) N(P)=5 [ 9 9 18] [ 1 25 10] [ 3 15 18] CharPoly = (x-36)(x-12)(x-4) N(P)=49 [ 289 1089 1122] [ 121 1521 858] [ 187 1287 1026] CharPoly = (x-2500)(x-300)(x-36) -------------------- n=8 Gram Matrix A oplus A Mass = 54123.12 Too big