Notes. z_CO is derived from the error-weighted mean of the multi-J CO spectral redshifts from this work. For the double-peak sources, we take an average redshift of the two components. The luminosity distance D_L is calculated using Cosmology.jl with the Julia language (Bezanson et al. 2012) and the errors are propagated using Measurements.jl (Giordano 2016). We also recall values of L_IR in this table. For , most of the values are converted from CO(3–2) fluxes as described in the text. For G09v1.40, we use CO(2–1) /CO(1–0) ratio to infer the flux of CO(1–0) . And for NAv1.56 and G15v2.779, we use CO(4–3) /CO(1–0) ratio (flux ratios are from Bo13). The calculation of apparent molecular gas mass μM_H2 takes a conversion factor α_CO = 0.8 (see text). μM_H2,Ha is the molecular gas mass calculated from CO(1–0) fluxes reported in Harris et al. (2012). Gas mass M_gas is calculated by considering a 36% helium contribution, e.g. M_gas = 1.36M_H2. δ_GDR and t_dep are gas to dust mass ratio and molecular gas depletion time, respectively (see the detail definitions in Sects. 4 and 5.3). ^(a) Because of the limited data quantity, we take the NOEMA CO(4–3) data of NAv1.56, which offers better accuracy (Oteo et al., in prep.). ^(b) The physical properties of G15v2.779 are taken from or computed according to Cox et al. (2011) and O13.