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## Appendix C: Raw Data for comparison at µ ̸ = 0 

Here we give some raw data obtained using our algorithm at non-zero chemical potential for comparison with other methods like the complex Langevin method which are being developed to solve the sign problem present in the conventional formulation. These values can also serve as a check for future work. 

<img src='content_image/347812.jpg'>

<img src='content_image/347811.jpg'>

