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Derivative Instruments - Effect of Derivative Instruments on Statements of Income and Expenses (Detail) - USD ($)
3 Months Ended 6 Months Ended
Jun. 30, 2024
Jun. 30, 2023
Jun. 30, 2024
Jun. 30, 2023
Derivative Instruments Gain Loss [Line Items]        
Futures contracts, realized gain (loss) $ (39,615,424) $ (145,076,467) $ (42,185,602) $ (215,376,363)
Futures contracts, unrealized gain (loss) 39,774,667 28,939,549 93,565,358 (18,704,010)
Commodity Futures Contract [Member] | Not Designated as Hedging Instrument [Member]        
Derivative Instruments Gain Loss [Line Items]        
Futures contracts, realized gain (loss) (39,615,424) (145,076,467) (42,185,602) (215,376,363)
Futures contracts, unrealized gain (loss) 39,774,667 28,939,549 93,565,358 (18,704,010)
Net Realized and Net Change in Unrealized Gain (Loss) $ 159,243 $ (116,136,918) $ 51,379,756 $ (234,080,373)