Results of statistical equilibrium calculations for CH₃OH-E. The 5₀ → 4₀/5_-1 → 4_-1 (black dash-dotted line), 5₁ → 4₁/5_-1 → 4_-1 (blue solid line), and 5₁ → 4₁/5₀ → 4₀ (pink dashed line) observed integrated intensity line ratios toward the (15, 0″) position on a logarithmic scale are shown as function of H₂ density and temperature at N_CH3OH/ΔV  =  10¹⁴ cm^-2/(km s^-1) (top) and N_CH3OH/ΔV  =  10¹⁵ cm^-2/(km s^-1) (bottom).