local result; result := rec(); result.comment := "2A8 as 8 x 8 matrices over Z\n\ Seeded with null vector of A^2+B+A^2B^3+I\n\ "; result.symmetricforms := [ [ [ 2, -1, 0, 0, -1, 0, 1, 0 ], [ -1, 2, 1, 0, 0, 0, -1, 1 ], [ 0, 1, 2, -1, -1, 0, 0, 1 ], [ 0, 0, -1, 2, 0, 1, 0, 0 ], [ -1, 0, -1, 0, 2, -1, -1, 0 ], [ 0, 0, 0, 1, -1, 2, 0, 0 ], [ 1, -1, 0, 0, -1, 0, 2, -1 ], [ 0, 1, 1, 0, 0, 0, -1, 2 ] ] ]; result.antisymmetricforms := [ ]; result.hermitianforms := [ ]; result.centralizeralgebra := [ IdentityMat(8) ]; result.generators := [ [[0,1,0,0,0,0,0,0], [-1,-1,0,0,0,0,0,0], [0,0,0,0,1,0,0,0], [0,0,0,-1,0,1,0,0], [0,0,-1,0,-1,0,0,0], [0,0,0,-1,0,0,0,0], [0,0,0,0,0,0,0,1], [0,0,0,0,0,0,-1,-1]] , [[0,0,1,0,0,0,0,0], [0,0,0,1,0,0,0,0], [0,0,0,0,0,1,0,0], [0,-1,1,1,0,-1,0,0], [0,0,0,0,1,0,0,0], [0,0,0,0,0,0,1,0], [1,0,1,0,0,0,-1,-1], [-1,-1,1,1,0,0,0,0]]]; return result;