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Summary of Significant Accounting Policies - Distributions per General Share and Share and in Total (Details) - USD ($)
12 Months Ended
Dec. 31, 2022
Dec. 31, 2021
Dec. 31, 2020
Incentive Distribution Made To Managing Member Or General Partner [Line Items]      
Distributed earnings   $ 0 $ 0
General Shares [Member]      
Incentive Distribution Made To Managing Member Or General Partner [Line Items]      
Distributions per share $ 0.19276    
Distributed earnings $ 8    
Shares [Member]      
Incentive Distribution Made To Managing Member Or General Partner [Line Items]      
Distributions per share $ 0.19276    
Distributed earnings $ 289,138