Data release for paper: Bennett, E., Lucini, B., Mason, D., Piai, M., Rinaldi, E., & Vadacchino, D. (2023). The density of states method for Symplectic gauge theories at finite temperature. arXiv preprint arXiv:2409.19426. This data release includes the following files: raw_data.zip: Contains output files for the HiRep importance sampling pure gauge code, and filtered data from the output of the HiRep LLR code; these form the basis of the analysis output_data.zip: Contains analysed data from the workflow, allowing the presentation stage of the analysis to be re-run without running the full analysis. info.zip: Metadata files for each ensemble, used both to generate the input files initially, and as part of the analysis workflow inputs.zip: Input files to the HiRep code used for the LLR portion of the work code.zip: The analysis workflow. README.md: Instructions for running the analysis workflow info_combined.csv: Combined metadata for all LLR ensembles; the data shown in Tables I and II of the paper critical_combined: Combined results for the critical beta values for all ensembles with Nt=4, and their limiting values; the data shown in Tables III and IV of the paper DataDescription.txt: A fuller description of the various CSV files, both the combined summaries and the individual files in the ZIP archives above, including full descriptions of their columns. For details on how to reproduce the results presented in the paper using these files, please refer to the file README.md.