I will present a way to calculate the Particle Entanglement Spectrum (PES) and Real Space Entanglement Spectrum (RSES) of multi-particle systems from their real space wave functions. Our technique allows numerical calculations for much larger systems than were previously feasible. I will illustrate the method with results on the RSES and PES for the Laughlin and Jain composite fermion states and for the Moore-Read state at filling  nu=5/2 , for system sizes up to 70 particles.