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Derivative Instruments - Effect of Derivative Instruments on Statements of Income and Expenses (Detail) - USD ($)
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Derivative Instruments Gain Loss [Line Items]      
Futures contracts, realized gain (loss) $ (248,497,488) $ 732,359,785 $ 663,176,025
Futures contracts, unrealized gain (loss) 5,796,728 (199,728,345) 14,525,333
Commodity Futures Contract [Member] | Not Designated as Hedging Instrument [Member]      
Derivative Instruments Gain Loss [Line Items]      
Futures contracts, realized gain (loss) (248,497,488) 732,359,785 663,176,025
Futures contracts, unrealized gain (loss) 5,796,728 (199,728,345) 14,525,333
Net Realized and Net Change in Unrealized Gain (Loss) $ (242,700,760) $ 532,631,440 $ 677,701,358