This archive contains the relevant data required for the reproduction of the paper PHYSICAL REVIEW B 105, 104404 (2022). In the folder 'DFT', one finds the files related to the DFT calculations done with the JuKKR version: v2.2-223-g21cc67f The main input files of JuKKR are: inputcard, inc.p, potential, nonco_angle.dat, and shapefun. In this folder, we also provide the input and output of the 'voronoi' code, which is used in preparation for the JuKKR code. In 'Jij' folder, one finds the input files for the calculation of the exchange interactions after the SCF calculations. In the folder 'Spin-wave calculations', one finds the inputs and some outputs of the spin dynamics calculations done with the Spirit Code, and with the spin-wave calculation done with the SWIS code (Flaviano's code). The file 'input_MnSinoncol.cfg' is the input for the Spirit code, and 'inputcard_MnSinoncol.inp' for the SWIS code. The pair interactions used by both codes are given in 'inputfiles/pair_MnSI_rad4.5noncol.txt'. Several bash and python scripts used automatize the run of the codes are given: calculation_manager_noncol.py, runspinwave.sh, runspirit.py, ... The experimental data is contained in 'exp data' and 'phase diagram'. In the folder 'dispersion', one finds a setup of the calculation to compute and plot the spin-wave dispersion.