/* L3(8).2 as 511 x 511 matrices over the field of order 7. */ F7:=GF(7); P:=PolynomialRing(F7); p:=x+4; //Conway Polynomial F:=ext; G:=MatrixGroup<511,F| [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 6, 1, 3, 0, 3, 5, 1, 1, 5, 2, 6, 2, 2, 5, 1, 2, 3, 0, 6, 6, 3, 2, 6, 5, 6, 3, 6, 0, 6, 3, 2, 6, 0, 3, 2, 1, 4, 1, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 1, 5, 3, 0, 0, 1, 0, 4, 4, 1, 5, 4, 2, 0, 6, 6, 0, 5, 5, 3, 5, 0, 0, 0, 1, 1, 1, 5, 0, 5, 5, 5, 5, 6, 5, 0, 0, 6, 2, 1, 0, 5, 0, 3, 0, 4, 6, 5, 0, 5, 6, 2, 1, 0, 5, 2, 5, 5, 5, 5, 3, 3, 6, 6, 3, 5, 1, 1, 2, 0, 0, 0, 5, 3, 1, 3, 2, 0, 0, 5, 2, 3, 3, 5, 3, 3, 0, 2, 3, 1, 4, 5, 3, 4, 3, 6, 4, 4, 5, 1, 6, 2, 5, 0, 4, 6, 3, 1, 4, 2, 3, 5, 1, 5, 1, 6, 1, 4, 3, 6, 0, 3, 2, 4, 0, 3, 2, 1, 4, 4, 6, 2, 1, 2, 0, 3, 5, 3, 6, 2, 3, 1, 3, 6, 2, 5, 3, 6, 4, 5, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 2, 0, 4, 0, 1, 0, 4, 5, 6, 3, 4, 1, 3, 5, 6, 5, 6, 0, 5, 2, 5, 4, 2, 3, 6, 6, 3, 2, 2, 0, 0, 0, 6, 6, 4, 2, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 1, 4, 5, 3, 3, 0, 3, 2, 5, 1, 3, 5, 3, 5, 2, 6, 1, 3, 4, 0, 1, 5, 5, 6, 0, 1, 2, 4, 5, 3, 4, 4, 1, 1, 4, 1, 2, 4, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 3, 1, 5, 0, 6, 0, 1, 0, 0, 4, 5, 6, 2, 0, 4, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 6, 2, 4, 1, 2, 4, 4, 0, 6, 6, 6, 6, 1, 5, 6, 5, 3, 6, 1, 0, 1, 5, 5, 2, 6, 3, 4, 4, 6, 5, 2, 2, 1, 2, 3, 1, 5, 4, 5, 6, 4, 4, 4, 3, 4, 1, 3, 4, 0, 2, 5, 5, 0, 0, 6, 3, 4, 2, 1, 0, 5, 2, 3, 6, 6, 1, 0, 5, 1, 2, 2, 6, 2, 0, 5, 4, 0, 2, 2, 0, 6, 3, 3, 0, 5, 5, 2, 1, 3, 3, 4, 6, 3, 3, 2, 0, 4, 6, 6, 3, 4, 4, 2, 1, 4, 5, 5, 6, 0, 3, 3, 2, 3, 4, 1, 4, 6, 0, 3, 1, 1, 3, 1, 3, 6, 6, 1, 5, 0, 3, 4, 0, 4, 2, 5, 2, 5, 2, 6, 2, 6, 6, 2, 3, 2, 4, 0, 2, 6, 6, 4, 5, 6, 5, 6, 2, 5, 0, 2, 5, 4, 4, 5, 5, 6, 2, 5, 0, 3, 1, 5, 1, 4, 2, 0, 5, 2, 2, 4, 1, 1, 2, 3, 2, 1, 4, 3, 3, 3, 1, 0, 2, 4, 1, 5, 3, 4, 4, 2, 4, 3, 2, 2, 4, 6, 4, 6, 2, 4, 5, 0, 1, 1, 2, 5, 2, 0, 2, 6, 3, 2, 2, 6, 1, 1, 5, 0, 1, 3, 2, 5, 3, 6, 6, 5, 6, 2, 2, 4, 0, 0, 3, 1, 1, 6, 5, 3, 2, 0, 6, 6, 2, 5, 5, 3, 0, 3, 2, 6, 5, 3, 4, 4, 0, 5, 4, 1, 3, 0, 5, 5, 0, 6, 1, 0, 6, 5, 4, 0, 6, 3, 0, 1, 0, 3, 1, 0, 1, 6, 1, 0, 4, 6, 2, 0, 1, 1, 4, 4, 5, 6, 4, 2, 6, 4, 1, 5, 1, 3, 2, 3, 6, 3, 2, 6, 1, 0, 4, 2, 4, 1, 3, 3, 6, 0, 4, 0, 0, 3, 2, 0, 2, 5, 4, 5, 2, 3, 3, 1, 3, 4, 1, 6, 1, 6, 0, 1, 3, 0, 3, 4, 1, 4, 4, 6, 3, 1, 3, 4, 0, 0, 4, 4, 5, 4, 0, 4, 1, 6, 2, 4, 4, 5, 5, 3, 3, 0, 2, 6, 3, 3, 6, 1, 2, 0, 3, 1, 5, 0, 4, 0, 2, 0, 5, 3, 6, 6, 5, 2, 1, 4, 0, 0, 0, 3, 4, 0, 2, 3, 0, 6, 2, 3, 5, 1, 1, 3, 3, 1, 1, 5, 2, 5, 3, 6, 2, 2, 6, 2, 4, 0, 5, 6, 3, 2, 0, 5, 6, 1, 5, 6, 2, 0, 5, 1, 1, 5, 6, 5, 2, 1, 0, 1, 2, 6, 0, 6, 4, 2, 0, 6, 3, 6, 2, 5, 4, 5, 1, 0, 5, 3, 5, 5, 2, 1, 6, 3, 3, 2, 5, 0, 2, 2, 0, 6, 4, 5, 4, 1, 2, 6, 5, 4, 1, 2, 4, 5, 3, 6, 2, 1, 4, 3, 6, 0, 0, 5, 0, 0, 2, 5, 5, 6, 1, 2, 6, 0, 6, 2, 5, 6, 3, 2, 0, 1, 6, 1, 6, 2, 1, 1, 2, 2, 2, 4, 1, 0, 2, 1, 2, 0, 5, 4, 0, 4, 0, 3, 3, 3, 5, 3, 0, 5, 3, 1, 5, 1, 1, 5, 6, 1, 4, 6, 5, 4, 5, 0, 1, 3, 6, 4, 4, 4, 0, 3, 5, 1, 0, 5, 6, 4, 5, 6, 0, 1, 4, 2, 0, 2, 3, 5, 2, 4, 2, 1, 5, 5, 1, 3, 6, 3, 4, 5, 3, 0, 1, 3, 5, 4, 3, 6, 0, 6, 2, 0, 0, 6, 5, 3, 3, 2, 0, 1, 1, 6, 4, 0, 1, 4, 2, 2, 4, 4, 2, 0, 6, 5, 5, 2, 4, 1, 5, 4, 4, 4, 4, 0, 1, 1, 5, 3, 0, 6, 6, 6, 3, 0, 2, 0, 0, 2, 6, 3, 5, 0, 2, 4, 0, 3, 0, 4, 6, 2, 3, 6, 1, 2, 3, 2, 2, 3, 4, 4, 4, 5, 4, 4, 3, 5, 6, 4, 5, 4, 0, 6, 5, 3, 5, 2, 2, 4, 1, 1, 0, 5, 6, 5, 4, 2, 4, 4, 6, 6, 0, 0, 0, 2, 1, 4, 4, 4, 0, 4, 3, 2, 4, 2, 6, 5, 0, 3, 4, 3, 3, 6, 3, 2, 2, 1, 4, 0, 4, 6, 3, 5, 3, 1, 0, 2, 4, 0, 1, 2, 1, 5, 4, 4, 0, 1, 6, 4, 6, 4, 1, 1, 1, 5, 5, 2, 6, 0, 3, 5, 0, 1, 2, 5, 2, 1, 2, 4, 5, 2, 0, 6, 6, 6, 6, 5, 0, 0, 2, 2, 5, 0, 6, 6, 3, 3, 2, 0, 0, 1, 3, 2, 5, 3, 4, 6, 5, 4, 1, 4, 6, 2, 0, 3, 2, 3, 3, 0, 3, 6, 0, 6, 1, 4, 4, 1, 6, 2, 6, 0, 4, 4, 4, 5, 0, 0, 0, 0, 2, 6, 2, 5, 6, 3, 1, 0, 6, 6, 4, 1, 6, 3, 2, 1, 4, 1, 3, 5, 4, 5, 3, 4, 0, 1, 6, 1, 3, 6, 0, 3, 2, 5, 1, 6, 5, 5, 6, 0, 1, 6, 5, 1, 5, 6, 0, 6, 3, 0, 3, 2, 6, 0, 2, 1, 5, 5, 6, 3, 2, 1, 0, 1, 1, 5, 4, 4, 0, 2, 0, 1, 5, 2, 3, 2, 4, 0, 1, 1, 6, 2, 5, 0, 0, 2, 0, 2, 2, 0, 1, 5, 5, 3, 1, 5, 1, 2, 5, 2, 6, 6, 0, 0, 6, 5, 4, 6, 6, 5, 2, 5, 3, 2, 2, 6, 4, 6, 6, 1, 0, 6, 1, 5, 3, 5, 0, 3, 3, 2, 5, 1, 3, 3, 0, 4, 3, 6, 5, 1, 2, 4, 2, 2, 3, 2, 5, 5, 0, 5, 1, 3, 0, 4, 1, 4, 1, 6, 6, 2, 2, 1, 5, 3, 2, 1, 0, 3, 6, 1, 4, 6, 2, 5, 4, 2, 5, 2, 2, 2, 6, 5, 6, 5, 3, 4, 2, 0, 5, 4, 1, 4, 6, 5, 0, 4, 2, 5, 5, 3, 4, 1, 5, 1, 2, 0, 4, 5, 0, 0, 0, 5, 5, 0, 2, 4, 3, 2, 0, 2, 5, 2, 0, 4, 1, 1, 6, 2, 0, 3, 6, 1, 1, 5, 5, 0, 2, 5, 6, 2, 3, 6, 6, 1, 5, 6, 3, 3, 4, 4, 2, 3, 6, 0, 0, 0, 5, 2, 1, 2, 6, 3, 1, 6, 1, 1, 1, 2, 6, 6, 0, 1, 4, 0, 4, 0, 1, 6, 1, 5, 0, 5, 4, 3, 4, 3, 3, 0, 1, 2, 4, 2, 1, 5, 6, 5, 3, 6, 6, 2, 2, 2, 0, 0, 4, 4, 1, 5, 5, 3, 1, 0, 5, 1, 2, 2, 4, 4, 0, 5, 3, 2, 6, 0, 3, 4, 6, 0, 1, 1, 6, 0, 0, 0, 1, 6, 6, 0, 3, 1, 3, 2, 4, 4, 5, 5, 3, 3, 2, 1, 2, 0, 0, 5, 0, 1, 3, 2, 4, 2, 6, 3, 6, 2, 1, 1, 5, 1, 4, 0, 1, 3, 3, 6, 1, 6, 2, 2, 0, 0, 5, 1, 5, 0, 1, 2, 3, 2, 3, 6, 1, 2, 6, 4, 1, 0, 0, 1, 2, 5, 3, 1, 2, 1, 2, 1, 6, 1, 1, 0, 6, 3, 4, 5, 5, 6, 0, 1, 1, 1, 5, 0, 4, 5, 5, 4, 2, 0, 0, 4, 5, 6, 2, 4, 6, 4, 6, 2, 3, 6, 0, 6, 1, 6, 6, 1, 1, 6, 1, 2, 5, 2, 3, 1, 5, 4, 4, 4, 2, 4, 5, 0, 6, 5, 1, 4, 3, 0, 1, 5, 4, 4, 5, 2, 4, 5, 0, 2, 1, 1, 2, 2, 6, 4, 5, 2, 6, 2, 0, 6, 1, 5, 0, 4, 5, 6, 5, 4, 5, 5, 0, 1, 2, 3, 5, 0, 2, 5, 2, 3, 4, 6, 5, 3, 2, 2, 2, 3, 3, 5, 5, 6, 2, 0, 6, 6, 2, 2, 5, 2, 0, 3, 6, 0, 2, 6, 0, 2, 5, 3, 3, 1, 3, 4, 0, 1, 6, 3, 4, 5, 5, 3, 5, 0, 0, 5, 4, 0, 4, 6, 5, 4, 5, 4, 6, 6, 5, 5, 0, 2, 3, 2, 4, 5, 2, 0, 5, 0, 0, 6, 2, 1, 3, 3, 2, 5, 4, 1, 1, 4, 3, 0, 4, 2, 1, 1, 1, 4, 6, 0, 0, 3, 6, 1, 1, 4, 4, 6, 4, 0, 4, 3, 0, 0, 6, 6, 4, 4, 3, 2, 2, 5, 4, 2, 3, 3, 5, 0, 3, 2, 2, 6, 3, 1, 5, 2, 0, 5, 5, 6, 3, 1, 3, 6, 0, 1, 4, 5, 3, 6, 5, 0, 6, 5, 2, 1, 0, 0, 0, 4, 0, 3, 2, 4, 2, 0, 5, 1, 5, 2, 4, 0, 6, 6, 2, 5, 5, 2, 0, 6, 5, 2, 2, 2, 5, 2, 5, 2, 6, 6, 2, 3, 4, 4, 3, 4, 5, 1, 1, 5, 0, 6, 4, 0, 3, 6, 3, 4, 3, 0, 4, 5, 5, 0, 1, 1, 0, 5, 3, 4, 5, 2, 2, 0, 5, 6, 2, 4, 3, 2, 3, 1, 6, 4, 0, 5, 0, 2, 6, 5, 5, 5, 1, 3, 5, 0, 1, 1, 0, 0, 4, 0, 4, 4, 1, 6, 0, 2, 6, 3, 0, 1, 6, 6, 3, 6, 1, 1, 5, 3, 2, 5, 5, 2, 3, 2, 2, 3, 6, 3, 1, 6, 1, 0, 2, 4, 6, 5, 1, 6, 3, 1, 5, 4, 1, 6, 2, 6, 0, 3, 4, 0, 5, 2, 0, 2, 3, 4, 1, 0, 4, 6, 6, 4, 2, 1, 1, 0, 3, 3, 5, 4, 6, 0, 0, 2, 1, 1, 2, 1, 3, 5, 4, 3, 3, 0, 2, 4, 5, 2, 3, 0, 6, 3, 0, 2, 3, 1, 6, 6, 6, 2, 5, 6, 6, 5, 0, 5, 4, 1, 2, 3, 1, 0, 6, 2, 3, 1, 5, 0, 1, 2, 1, 5, 5, 1, 3, 2, 1, 1, 5, 6, 6, 2, 5, 5, 4, 6, 5, 1, 2, 2, 5, 4, 3, 4, 6, 6, 5, 6, 1, 6, 6, 5, 4, 2, 5, 5, 2, 0, 3, 6, 0, 2, 1, 2, 4, 5, 5, 6, 2, 5, 3, 6, 6, 0, 1, 6, 6, 0, 1, 6, 0, 6, 1, 5, 3, 3, 6, 3, 0, 3, 6, 2, 1, 5, 3, 1, 4, 0, 1, 5, 3, 6, 4, 3, 2, 0, 2, 4, 4, 0, 4, 5, 6, 6, 1, 3, 5, 2, 4, 1, 5, 1, 4, 6, 0, 5, 0, 5, 3, 2, 4, 1, 3, 2, 0, 4, 4, 5, 4, 3, 3, 4, 5, 4, 3, 4, 1, 2, 2, 4, 1, 3, 1, 3, 1, 0, 5, 6, 5, 4, 5, 5, 6, 0, 4, 1, 6, 0, 4, 2, 0, 2, 2, 0, 4, 0, 0, 3, 2, 2, 5, 6, 3, 4, 6, 0, 6, 6, 2, 6, 1, 3, 5, 0, 4, 6, 5, 6, 1, 1, 4, 2, 4, 1, 3, 3, 0, 1, 2, 5, 2, 3, 0, 2, 1, 6, 1, 5, 6, 6, 6, 4, 4, 6, 5, 1, 2, 2, 4, 4, 0, 2, 2, 2, 5, 6, 1, 2, 2, 1, 0, 4, 3, 5, 4, 5, 0, 4, 2, 6, 0, 6, 0, 1, 0, 2, 1, 2, 5, 2, 0, 2, 5, 4, 6, 3, 0, 5, 1, 0, 6, 0, 4, 0, 6, 2, 3, 3, 5, 1, 6, 2, 1, 2, 2, 1, 2, 6, 3, 2, 5, 5, 1, 5, 0, 2, 6, 5, 5, 3, 0, 3, 6, 0, 1, 4, 6, 1, 1, 6, 6, 3, 3, 1, 3, 2, 1, 6, 3, 0, 2, 4, 5, 0, 6, 5, 5, 4, 5, 4, 0, 4, 5, 0, 3, 3, 3, 6, 3, 0, 5, 4, 5, 6, 4, 2, 4, 4, 3, 1, 1, 4, 2, 2, 4, 3, 3, 1, 6, 3, 4, 3, 5, 3, 0, 4, 3, 6, 1, 1, 5, 5, 0, 4, 1, 4, 0, 1, 5, 2, 1, 3, 5, 0, 3, 2, 0, 1, 1, 2, 5, 1, 0, 5, 4, 1, 2, 2, 1, 4, 5, 3, 1, 5, 5, 3, 5, 6, 4, 4, 5, 0, 4, 6, 4, 3, 6, 6, 4, 1, 5, 4, 4, 2, 0, 5, 4, 1, 3, 1, 0, 5, 0, 6, 2, 3, 3, 5, 0, 4, 6, 4, 0, 1, 1, 6, 3, 6, 3, 5, 0, 1, 3, 2, 2, 0, 0, 4, 6, 0, 2, 5, 6, 4, 5, 4, 5, 6, 4, 4, 3, 4, 2, 6, 2, 3, 4, 1, 0, 5, 0, 4, 0, 6, 3, 6, 4, 6, 0, 0, 4, 3, 0, 5, 1, 3, 4, 3, 6, 5, 1, 5, 4, 3, 3, 3, 0, 1, 4, 5, 3, 6, 2, 4, 0, 0, 5, 2, 5, 0, 0, 3, 4, 2, 4, 1, 6, 5, 1, 4, 2, 0, 4, 4, 6, 0, 6, 4, 3, 4, 3, 6, 0, 2, 6, 6, 1, 3, 4, 4, 0, 4, 5, 6, 3, 1, 4, 3, 2, 2, 4, 3, 6, 5, 2, 4, 0, 3, 4, 0, 0, 3, 1, 6, 2, 2, 6, 4, 0, 0, 5, 6, 2, 0, 1, 5, 4, 2, 3, 1, 2, 3, 3, 2, 1, 2, 2, 4, 1, 0, 0, 3, 2, 3, 4, 0, 6, 3, 0, 1, 0, 0, 5, 3, 5, 4, 1, 2, 2, 0, 1, 3, 0, 2, 3, 3, 2, 6, 4, 1, 6, 0, 3, 4, 5, 6, 2, 5, 2, 1, 6, 1, 0, 2, 4, 5, 5, 6, 6, 0, 2, 0, 1, 4, 0, 2, 0, 1, 3, 4, 3, 2, 4, 3, 5, 5, 2, 2, 6, 4, 4, 3, 0, 4, 4, 6, 3, 3, 1, 0, 5, 6, 1, 4, 0, 1, 6, 0, 5, 1, 6, 3, 3, 5, 0, 4, 3, 0, 3, 2, 4, 5, 4, 2, 2, 0, 6, 0, 4, 0, 6, 2, 3, 4, 2, 5, 6, 4, 5, 4, 4, 5, 4, 3, 0, 5, 6, 6, 0, 4, 3, 3, 1, 1, 0, 1, 1, 5, 3, 4, 0, 2, 2, 5, 4, 5, 1, 3, 5, 2, 1, 4, 1, 1, 5, 6, 3, 1, 0, 6, 4, 2, 5, 0, 5, 0, 3, 4, 0, 6, 3, 1, 0, 4, 5, 5, 1, 6, 5, 0, 5, 6, 4, 2, 4, 2, 0, 1, 5, 0, 2, 2, 0, 3, 0, 2, 4, 5, 0, 5, 4, 1, 2, 2, 3, 3, 2, 3, 3, 0, 6, 1, 6, 5, 6, 6, 6, 1, 2, 1, 1, 1, 2, 3, 1, 5, 1, 3, 0, 6, 1, 2, 1, 5, 0, 6, 2, 4, 0, 0, 5, 0, 6, 2, 4, 5, 1, 3, 0, 4, 1, 3, 4, 1, 5, 6, 3, 5, 4, 4, 5, 2, 0, 3, 0, 5, 5, 1, 2, 2, 3, 6, 4, 4, 1, 0, 1, 6, 4, 6, 2, 4, 0, 1, 1, 6, 3, 5, 5, 5, 4, 2, 0, 0, 1, 1, 1, 4, 5, 2, 0, 0, 3, 2, 1, 2, 1, 0, 6, 4, 1, 6, 4, 5, 5, 4, 4, 1, 4, 6, 4, 6, 6, 0, 1, 1, 2, 6, 4, 0, 6, 1, 3, 6, 1, 6, 1, 5, 5, 0, 1, 4, 1, 2, 5, 6, 0, 0, 4, 3, 2, 1, 3, 5, 1, 6, 0, 1, 6, 0, 1, 6, 6, 3, 0, 6, 1, 0, 4, 3, 0, 6, 1, 6, 6, 5, 4, 3, 4, 1, 1, 5, 1, 5, 1, 3, 6, 5, 4, 4, 1, 5, 5, 3, 4, 1, 2, 1, 2, 5, 6, 6, 2, 1, 5, 5, 3, 3, 6, 4, 3, 3, 1, 1, 2, 0, 5, 2, 4, 4, 6, 3, 1, 4, 0, 2, 6, 1, 5, 5, 2, 0, 5, 4, 1, 3, 0, 0, 1, 6, 5, 3, 1, 4, 0, 1, 6, 3, 0, 6, 2, 3, 3, 2, 4, 5, 4, 5, 2, 5, 0, 2, 1, 1, 4, 4, 1, 5, 3, 6, 1, 4, 2, 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