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Fig. C.1.

Evolution of the excitation temperature with the H2 density for methanol transitions in our survey, obtained from RADEX. We fixed a column density of 1 × 1014 cm−2, a FWHM of 1 km s−1, and a kinetic temperature of 10 K. The CMB temperature at z = 0.89 is marked by the dashed line.
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