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Summary of Significant Accounting Policies - Additional Information (Detail) - USD ($)
3 Months Ended
Mar. 31, 2023
Mar. 31, 2022
Dec. 31, 2022
Accounting Policies [Abstract]      
Distributed earnings $ 0 $ 0  
Average charges paid to broker per round-turn trade, maximum 7.00 $ 7.00  
LME contracts payable $ 61,156,173   $ 50,841,104