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Summary of Significant Accounting Policies - Additional Information (Detail) - USD ($)
3 Months Ended 9 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2022
Sep. 30, 2021
Dec. 31, 2021
Accounting Policies [Line Items]          
Distributed earnings $ 0 $ 0 $ 0 $ 0  
Average charges paid to broker per round-turn trade, maximum 13.00 $ 13.00 13.00 13.00  
Payable for LME contracts $ 40,349,780   40,349,780    
Receivable for LME contracts         $ 6,172,132
Professional Fees Liability [Member]          
Accounting Policies [Line Items]          
Non-recurring fees and expenses     $ 0 $ 0