The auto-covariance of a length-3 trace data trace \(y(z)\) is \((6,35,62,35,6)\).

(a) Find the filter \(F(z)\) using the root method;

(b) Form the Toeplitz normal equations;

(c) Find the inverse filter \(A(z)\).

(d) Is \(A(z)\) minimum phase? Compare it with \(F(z)\) and explain.