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Derivative Instruments - Effect of Derivative Instruments on Statements of Income and Expenses (Detail) - USD ($)
3 Months Ended 9 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2024
Sep. 30, 2023
Derivative Instruments Gain Loss [Line Items]        
Futures contracts, realized gain (loss) $ (23,007,985) $ (34,434,752) $ (65,193,587) $ (249,811,115)
Futures contracts, unrealized gain (loss) (73,363,967) 199,272,109 20,201,391 180,568,099
Commodity Futures Contract [Member] | Not Designated as Hedging Instrument [Member]        
Derivative Instruments Gain Loss [Line Items]        
Futures contracts, realized gain (loss) (23,007,985) (34,434,752) (65,193,587) (249,811,115)
Futures contracts, unrealized gain (loss) (73,363,967) 199,272,109 20,201,391 180,568,099
Net Realized and Net Change in Unrealized Gain (Loss) $ (96,371,952) $ 164,837,357 $ (44,992,196) $ (69,243,016)