  The constraints of conformal bootstrap are applied to investigate a set of
conformal field theories in various dimensions. The prescriptions can be
applied to both unitary and non unitary theories allowing for the study of the
spectrum of low-lying primary operators of the theory. We evaluate the lowest
scaling dimensions of the local operators associated with the Yang-Lee edge
singularity for $2 \le D \le 6$. Likewise we obtain the scaling dimensions of
six scalars and four spinning operators for the 3d critical Ising model. Our
findings are in agreement with existing results to a per mill precision and
estimate several new exponents.
