Table 1: Line measurements in APM 08279+5255.
Spectral line: - CO(4-3) - CO(6-5) - CO(9-8) - CO(10-9) CO(11-10) HCN(5-4)
Rest freq. (GHz) 461.0408 691.4730 1036.9120 1151.9850 1267.0145 443.1162
Observing parameters:        
Telescope 30 m PdBI 30 m 30 m PdBI 30 m 30 m PdBI
Observing freq. (GHz) 93.879 93.867 140.801 211.141 211.088 234.573 257.995 90.229
Beam FWHP (arcsec) 25 $1.7\times 1.6$ 18 11 $0.85\times 0.71$ 10.5 9.5 $7.2\times 5.4$
$S/T_{\rm a}^*$ (Jy/K) 6.1 - 6.7 7.9 - 8.7 9.5 -
$T_{\rm mb}/S$ (K/Jy) 0.22 47.8 0.19 0.23 38.1 0.20 0.20 2.90
Channel width (MHz) 1 2.5 4 4 2.5 4 4 15
Observing time (hr) 7.9 26 3.0 5.2 22.8 4.8 16.7 27.9
rms noise in 50 kms-1:        
1$\sigma $ in $T_{\rm a}^*$ (mK) 0.3 - 0.5 0.6 - 0.5 0.4 -
1$\sigma $ in S (mJy) 1.9 0.56 3.1 4.9 1.3 4.0 4.1 0.47
Measured line parameters:        
Line center (GHz) 93.869 93.864 140.794 211.137 211.100 234.616 257.993 90.210
Redshift, z 3.9115 3.9118 3.9113 3.9111 3.9119 3.9110 3.9110 3.9121
Redshift error $\pm 0.001$ $\pm 0.0003$ $\pm 0.0008$ $\pm 0.0006$ $\pm 0.0003$ $\pm 0.0015$ $\pm 0.0015$ $\pm 0.0004$
Line peak ( $T_{\rm a}^*$, mK) 1.2 - 2.1 2.8 - 2.7 2.2 -
Line peak (mJy) 7.3 7.5 14.3 21.9 24.2 23.3 20.5 2.0
Integ. flux (Jy kms-1) 3.7 3.8 7.3 11.1 12.5 11.9 10.4 0.85
Line FWHM (kms-1) $490\pm60$ $470\pm17$ $445\pm40$ $480\pm40$ $460\pm22$ $480\pm90$ $520\pm50$ $400\pm40$
Apparent line luminosities (uncorrected for lensing):  
$L'_{\rm line}$ ( $10^{10}~L_{\rm l}$) 14.7 15.1 12.7 8.7 9.8 7.5 5.4 3.6
$L_{\rm line}$ (109  ${L}_{\odot}$) 0.46 0.47 1.3 3.1 3.5 3.7 3.5 0.10

Errors in flux and luminosity are $\pm 10$% for CO(4-3) and (6-5), and $\pm 20$% for the other lines.		  
Line luminosity unit $L_{\rm l}$ = K kms-1 pc2.  
Luminosities are for $H_{\rm0} = 71$kms-1 Mpc-1, $\Omega_\Lambda=0.73$ and $\Omega_{\rm m}=0.27$ (Spergel etal. 2003), so at z=3.91,  
angular diameter distance $D_{\rm A}$ = 1.474 Gpc, or 7147 pc/arcsec, and luminosity distance $D_{\rm L}$ = 35.556 Gpc.  

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