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Derivative Instruments - Effect of Derivative Instruments on Statements of Income and Expenses (Detail) - USD ($)
12 Months Ended
Dec. 31, 2022
Dec. 31, 2021
Dec. 31, 2020
Derivative Instruments, Gain (Loss) [Line Items]      
Futures contracts, realized gain (loss) $ 83,926,816 $ 352,665,440 $ (74,450,122)
Futures contracts, unrealized gain (loss) (8,822,462) (120,422,535) 119,289,041
Commodity Futures Contract [Member] | Not Designated as Hedging Instrument [Member]      
Derivative Instruments, Gain (Loss) [Line Items]      
Futures contracts, realized gain (loss) 83,926,816 352,665,440 (74,450,122)
Futures contracts, unrealized gain (loss) (8,822,462) (120,422,535) 119,289,041
Net realized and net change in unrealized gain (loss) $ 75,104,354 $ 232,242,905 $ 44,838,919