  Comprehensive and accurate rovibronic line lists for the X $^{1}\Sigma^{+}$
and A $^{1}\Pi$ states of $^{12}$C$^{1}$H$^{+}$ and $^{13}$C$^{1}$H$^{+}$ which
should be applicable up to temperatures of 5000 K are presented. Available
empirical potential energy curves and high-level ab initio dipole and
transition dipole moment curves are used with the program LEVEL to compute
rovibronic energy levels and Einstein $A$ coefficients. $\Lambda$-doubling is
incorporated into the energy levels and $A$-coefficients involving the A
$^{1}\Pi$ state using an empirical method. For $^{12}$C$^{1}$H$^{+}$, line
positions are improved by using both laboratory and astronomical observational
spectra as input to the MARVEL procedure. The $^{12}$C$^{1}$H$^{+}$ line list
contains 1505 states and 34194 transitions over the frequency range of 0 -
33010 cm$^{-1}$ ($\lambda > 300$ nm). Comparisons with observed astronomical
and laboratory spectra give very good agreement. The PYT CH$^{+}$ line lists
and partition functions are available from the ExoMol database at
www.exomol.com.
