Description of supplementary material for the article: "Investigations into the rotational spectrum of isotopic methyl mercaptan, 13CH3SH, in the laboratory and towards Sagittarius B2(N2)" by V. Ilyushin, O. Zakharenko, F. Lewen, S. Schlemmer, E.A. Alekseev, M. Pogrebnyak, R.M. Lees, L.-H. Xu, A. Belloche, K.M. Menten, R.T. Garrod, and H.S.P. Müller The supplementary material is in the form of four files, ReadMe.txt (this file), input.txt, output_13CH3SH.txt, and Table_S1S2.txt, which contain the following tables: Table S1. Torsion-rotation part Qrt(T) of the total internal partition function Q(T)=Qv(T)*Qrt(T), calculated from first principles for 13CH3SH using the parameter set of Table 2. Table S2. A list of calculated positions and assignments of rotational transitions in the vt=0,1,2 torsional states of 13C methyl mercaptan up to J=60 in the 1 - 1500 GHz frequency range. Description of file: input.txt The first 4 lines contain information about the operating mode of the program. The next 6 lines remind the user of the format of the Hamiltonian parameters. Then the list of parameters used in the fit is given. The line &&&END,,,,,,,,, signals the end of this list. The parameter values are given in cm^-1^. Each line with a Hamiltonian parameter contains the parameter name, a set of 7 integers that define the associated quantum mechanical operator, a value for the parameter (i.e., for the coefficient of this operator), the diagonalization stage in which the particular parameter is used, and a float/fix flag. The actual term is encoded by the set of 7 integers, which are the powers of operators from the Hamiltonian expression. Thus: k - (the first integer) corresponds to the power of J**2, n - (the second integer) corresponds to the power of Jz, p,q - are powers of Jx, Jy, r - is the power of pa, s - (the sixth integer) defines the argument of cos(3sa), t - (the seventh integer) defines the argument of sin(3ta). The next 7 lines contain the information necessary for the fitting process and the predictions calculation. Then the list of measured transition frequencies is given. First a measured frequency is given. Then the assignment quantum numbers are given. They are followed by the include/exclude switch 'ifit' and by the measurement uncertainty. After that space for a comment is reserved. The assignment consists of m, J, Ka, Kc quantum numbers. First the upper level is given then the lower level is given. The labelling procedure in the program determines from the eigenvector composition the levels which belong to each particular m-state and then assigns Ka,Kc labels within each m state according to the usual asymmetric top energy ordering scheme. Description of file: output_13CH3SH.txt The output file is organized as follows. First the initial values of parameters as well as different statistics on the experimental data (number of transitions, number of blended transitions, number of levels included in the fit etc.) are given. Then, for each iteration, the information on the parameter changes and current rms deviation for different groups of data are given. Then the list of the parameter values for the next iteration is presented in the format suitable for the input file (so it can be copied and pasted easily to the input file). When the fit has converged or the maximum allowed number of iterations has passed the output of obtained results is given. The list of transitions with J