  Accurate line lists are calculated for aluminium monoxide covering the pure
rotation, rotation-vibration and electronic (B -- X blue-green and A -- X
infrared bands) spectrum. Line lists are presented for the main isotopologue,
$^{27}$Al$^{16}$O, as well as for $^{27}$Al$^{17}$O, $^{27}$Al$^{18}$O and
$^{26}$Al$^{16}$O. These line lists are suitable for high temperatures (up to
8000 K) including those relevant to exoplanetary atmospheres and cool stars. A
combination of empirical and \textit{ab initio} methods is used: the potential
energy curves were previously determined to high accuracy by fitting to
extensive data from analysis of laboratory spectra; a high quality {\it ab
initio} dipole moment curve is calculated using quadruple zeta basis set and
the multi-reference configuration interaction (MRCI) method. Partition
functions plus full line lists of transitions are made available in an
electronic form as supplementary data to this article and at
\url{www.exomol.com}.
