Using the 25 Mpc/h and N=1024\(^3\) grid of simulations for \(\Delta z_\mathrm{H}=0\) the constraints are:

At \(z=4.2\)

At \(z=4.6\)

At \(z=5.0\)

Joint fit to the 3 Redshift bins

Temperature of the IGM for the fits

Power Spectrum for the fits

Effective Optical Depth for the fits