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Commitments and Contingencies - Lease cost (Details) - USD ($)
3 Months Ended 6 Months Ended
Mar. 31, 2023
Mar. 31, 2022
Mar. 31, 2023
Mar. 31, 2022
Mar. 31, 2021
Leases          
Finance lease term         3 years
Lease cost          
Interest on lease liabilities $ 398 $ 849 $ 889 $ 1,823  
Total finance lease cost 398 849 889 1,823  
Operating lease cost 11,216 11,217 22,433 22,433  
Total lease cost $ 11,614 $ 12,066 $ 23,322 $ 24,256  
Minimum          
Leases          
Finance lease term 12 months   12 months    
Finance lease interest (as a percent) 4.00%   4.00%    
Maximum          
Leases          
Finance lease term 36 months   36 months    
Finance lease interest (as a percent) 13.00%   13.00%