  The integrals of motion of the tricritical Ising model are obtained by
Thermodynamic Bethe Ansatz (TBA) equations derived from the A_4 integrable
lattice model. They are compared with those given by the conformal field theory
leading to a unique one-to-one lattice-conformal correspondence. They can also
be followed along the renormalization group flows generated by the action of
the boundary field \phi_{1,3} on conformal boundary conditions in close analogy
to the usual TBA description of energies.
