1：Experimental Design and Method Selection:

The study utilized a pump-probe all-optical technique to investigate laser-induced magnetization precession in a Ni-Mn-Sn Heusler alloy film. The methodology was based on the Landau-Lifshitz-Gilbert equation for simulating the dependencies of magnetization precession parameters.

2：Sample Selection and Data Sources:

A 100-nm-thick Ni54.3Mn31.9Sn13.8 alloy film prepared by magnetron sputtering method and deposited on MgO(001) substrate was used.

3：3Mn9Sn8 alloy film prepared by magnetron sputtering method and deposited on MgO(001) substrate was used. List of Experimental Equipment and Materials:

3. List of Experimental Equipment and Materials: Ti:sapphire regenerative optical amplifier laser system generating pump and probe pulses at 800 nm and 400 nm wavelengths, respectively, at 10 kHz repetition rate and fs pulse duration.

4：Experimental Procedures and Operational Workflow:

The external magnetic field of magnitude H up to 6 kOe at different angles from the film normal was applied. Changes of the magnetization vector components were detected in reflection geometry by time delayed probe pulses, as transient Kerr rotation.

5：Data Analysis Methods:

The oscillating components of the transient Kerr rotation signal were analyzed using Fast Fourier Transform (FFT) analysis to identify precession modes.