Spectra of the H₂O and CO emission lines observed at PdBI toward the seven lensed high-redshift ultra-luminous galaxies discussed in this paper. The H₂O emission lines are displayed in the left column (showing the (2₁₁ − 2₀₂) or the (2₀₂ − 1₁₁) transition; the transitions are identified in each box). The CO spectra are displayed in the right column (showing 3–2, 4–3, 5–4 and 7–6 rotational transitions – for G15.v2.779, the [CI] emission line is included in the band). The transitions are indentified in each box. All spectra include the continuum, and the H₂O frequencies corresponding to the zero velocity are given in Table 4. The red lines trace the Gaussian fits to the H₂O and CO line profiles and the fit to the continuum emission level. In all cases, the match between the H₂O and CO spectra is excellent both in redshift and in the details of the line profile – see text.