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Derivative Instruments - Effect of Derivative Instruments on Statements of Income and Expenses (Detail) - USD ($)
3 Months Ended
Mar. 31, 2020
Mar. 31, 2019
Derivative Instruments, Gain (Loss) [Line Items]    
Futures contracts, realized gain (loss) $ (64,626,082) $ (38,427,269)
Futures contracts, unrealized gain (loss) (318,585,768) 223,972,176
Commodity Futures Contract [Member] | Not Designated as Hedging Instrument [Member]    
Derivative Instruments, Gain (Loss) [Line Items]    
Futures contracts, realized gain (loss) (64,626,082) (38,427,269)
Futures contracts, unrealized gain (loss) (318,585,768) 223,972,176
Net Realized and Net Change in Unrealized Gain (Loss) $ (383,211,850) $ 185,544,907