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Commitments and Contingencies - Employee Benefit (Details) - USD ($)
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Commitments and Contingencies.    
Maximum employee annual contributions (as a percent) 100.00%  
Maximum employer annual contributions (as a percent) 100.00%  
Maximum employer match (as a percent) 3.00%  
Expense related to matching contribution $ 83,266 $ 40,305