  A computed line list for formaldehyde, H$_2{}^{12}$C$^{16}$O, applicable to
temperatures up to $T=1500$~K is presented. An empirical potential energy and
{\it ab initio} dipole moment surfaces are used as the input to nuclear motion
program TROVE. The resulting line list, referred to as \textit{AYTY}, contains
10.3 million rotational-vibrational states and around 10 billion transition
frequencies. Each transition includes associated Einstein-$A$ coefficients and
absolute transition intensities, for wavenumbers below 10~000 cm\(^{-1}\) and
rotational excitations up to \(J=70\). Room-temperature spectra are compared
with laboratory measurements and data currently available in the HITRAN
database. These spectra show excellent agreement with experimental spectra and
highlight the gaps and limitations of the HITRAN data. The full line list is
available from the CDS database as well as at \url{www.exomol.com}.
