Portion of the X-shooter spectrum of J 1513+0352 covering the absorption lines of H I (Lyman-α shown in the bottom panel) and H₂ (top three panels) from the DLA at z = 2.4636. The normalised data are shown in black and the synthetic profile is overplotted in red. We note the very strong flux suppression at the bluest wavelengths due to the increased overlapping of H₂ lines. Horizontal blue segments connect rotational levels (short tick marks) from a given Lyman (L) or Werner (W) band, as labelled above.