  The Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) phase in the vortex lattice state
is quantitatively studied using the selfconsistent Eilenberger theory in
three-dimensional (3D) space. We estimate free energy to determine the FFLO
phase diagram in the H-T plane and stable FFLO wave number in the isotropic
system with the 3D Fermi sphere and s-wave pairing. To facilitate the
experimental identification of the FFLO state, we investigate the field
evolution of NMR spectra and flux line lattice form factors obtained in neutron
scattering in the FFLO vortex states. Possible applications of our results to
experimental data on CeCoIn5 are mentioned.
