Supplementary material consists of two tables, both of which are supplied in simple ASCII. Table II (file tab2.txt) Laboratory hot water spectrum of Polyansky et al (12) with our new assignments. Columns for assigned lines are: Measured laboratory frequency in wavenumbers Measured intensity in relative units J' Ka' Kc' J" Ka" Kc" Vibrational state using notation of Table I Calibrated laboratory frequency in wavenumbers Lines which are yet to be assigned are characterized by a single 0 in the vibrational state column. Table IV (file tab4.txt) Energy levels of water (in cm-1) obtained from wavenumber of the hot water spectra and elsewhere for the (000), (010), (020), (100) and (001) vibrations states. Columns are J' Ka' Kc' Vibrational state Energy level