File tablea1.dat contains the list of the Lyman-{alpha} absorption lines identified in the spectrum of HE 1122-1648 obtained during Science Verification of UVES at the VLT. We used the standard method of Voigt Profile fitting with VPFIT and with the inversion method described in the related paper. (Note that the printed version of the paper indicates HE 1122-1628, instead of the quasar HE 1122-1648).