local result, l; result := rec(); result.comment:="A15 as 14 x 14 matrices over Z.\n\ Absolutely irreducible representation.\n\ Schur index 1.\n\ "; result.symmetricforms:= []; result.antisymmetricforms:= []; result.hermitianforms:= []; result.centralizeralgebra := [ IdentityMat(14) ]; result.generators := [ [[0,-1,0,0,0,0,0,0,0,0,0,0,0,0], [1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1], [0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1]] , [[1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,-1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,-1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,-1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,-1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,-1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,-1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,-1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,-1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,-1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,-1,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,-1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,-1], [0,1,0,0,0,0,0,0,0,0,0,0,0,0]] ]; return result;