  In this thesis, we introduce new tools for the conformal bootstrap, autoboot
and qboot. Each tool solves a different step in the whole computational stack,
and combined with an existing efficient tool SDPB which solves semidefinite
programming (SDP), our tools make it easier to study conformal field theories
with more complicated global symmetries and with more general spectra. In the
introduction, we review how the conformal bootstrap method gives rich
information about the theory at the fixed point of renormalization group, or in
other words, the critical phenomena such as the Ising model at criticality. The
following three sections focus on the theories behind the implementation of
autoboot and qboot, and the explicit implementation, freely available at
https://github.com/selpoG/autoboot/ and https://github.com/selpoG/qboot/, is
discussed in section 5. We also have two applications in the last section, the
Ising model and the O(2) vector model in three dimensions, each of them has
close relationship with a physical system in the real world.
