Fig. A.1.
Two-dimensional density histogram for each of 2048 pixels in spectra along 5000 (randomly selected) lines of sight at z = 4.8, as a function of the Lyα optical depth τ and overdensity 
in the sightline; the two parameters are measured at line centre, where the optical depth was divided by 2 just to account for the hydrogen between the source and the observer (see text).
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