local b, B, result; result := rec(); b := E(7)+E(7)^2+E(7)^4; B := -1-b; result.comment := "2A7 as 20 x 20 matrices (a) over Z(b7)\n\ "; result.symmetricforms := [ ]; result.antisymmetricforms := [ ]; result.hermitianforms := [ ]; result.centralizeralgebra := [ IdentityMat(20) ]; result.generators := [ [[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1], [-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,B,-2*b-B,1,-b-2*B], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,-B,b,-1,b+2*B], [0,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,-b,1,1,b], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,-1,-1,B,-1], [0,0,0,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,-b,1,2], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,-b,1,1,-1], [0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,0,-1,0,0,-B], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,-1,b], [0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,-1,B,-b,-2*b-B], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,-B,0,-2], [0,0,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,B,-b,1,-b-2*B], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,b,-1,-1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-b,-b,1,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,B,-1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,-B,-B], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-B,b,-1,-1], [0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,0,0,-b,0,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,-1,-b,B], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,1,0,-B]] , [[0,0,0,0,0,0,0,0,0,0,0,0,0,b,0,-1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,1,b,-B,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,-1,b+2*B,-b,-b,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,-B,-1,2*b+B,0,0,0,0], [0,1,0,0,0,0,0,0,0,0,0,0,B,0,0,b,0,0,0,0], [0,0,1,0,0,0,0,0,0,0,0,0,1,1,-B,1,0,0,0,0], [0,b,-1,-1,0,0,0,0,0,0,0,0,1,0,0,-1,0,0,0,0], [1,1,-B,0,0,0,0,0,0,0,0,0,-1,0,-1,-B,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,-1,0,0,-B,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,-b,-b,1,1,0,0,0,0], [0,0,0,0,0,b,-1,-1,0,0,0,0,0,0,0,-1,0,0,0,0], [0,0,0,0,1,1,-B,0,0,0,0,0,0,1,0,-B,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,-1,-1,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,b,-1,-1,B,-b,1,-B,0,0,0,0], [0,0,0,0,0,0,0,0,1,1,-B,0,b,b,-1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,-b,-b,1,0,0,b,-1,-1], [0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-B,1,1,-B,0]]]; return result;