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Derivative Instruments - Effect of Derivative Instruments on Statements of Income and Expenses (Detail) - USD ($)
3 Months Ended
Mar. 31, 2023
Mar. 31, 2022
Derivative Instruments Gain Loss [Line Items]    
Futures contracts, realized gain (loss) $ (70,299,896) $ 121,185,479
Futures contracts, unrealized gain (loss) (47,643,559) 649,699,524
Commodity Futures Contract [Member] | Not Designated as Hedging Instrument [Member]    
Derivative Instruments Gain Loss [Line Items]    
Futures contracts, realized gain (loss) (70,299,896) 121,185,479
Futures contracts, unrealized gain (loss) (47,643,559) (649,699,524)
Net Realized and Net Change in Unrealized Gain (Loss) $ (117,943,455) $ 770,885,003