local w, result; w := E(3); result := rec(); result.comment := "U42 as 10 x 10 matrices over Z(w)\n\ "; result.symmetricforms := [ ]; result.antisymmetricforms := [ ]; result.hermitianforms := [ ]; result.centralizeralgebra := [ ]; result.generators := [ [[0,1,0,0,0,0,0,0,0,0], [1,0,0,0,0,0,0,0,0,0], [0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,1,0,0], [0,0,0,1,0,0,0,0,0,0], [w,w,0,1,-w,1,-1,-w,0,0], [0,0,0,0,1,0,0,0,0,0], [-w+w^2,1,0,-1,w,-1,2,w,1,0], [-2*w-w^2,-w^2,0,-1,-2,-w+w^2,-2*w^2,0,0,1]] , [[0,0,1,0,0,0,0,0,0,0], [0,0,0,1,0,0,0,0,0,0], [0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,w^2,0,0], [-w+w^2,0,0,0,w,-1,1,0,-w^2,w^2], [-1,0,-w^2,0,1,w,-w,-w^2,-w,0], [-1,w^2,-1,0,1,w,-w,w,1,w]]]; return result;