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Derivative Instruments - Fair Value of Derivative Instruments (Detail) - Commodity Futures Contract [Member] - Not Designated as Hedging Instrument [Member] - USD ($)
Mar. 31, 2023
Dec. 31, 2022
Derivatives, Fair Value [Line Items]    
Assets $ 75,719,153 $ 83,629,274
Liabilities $ (159,722,283) $ (119,988,845)