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Derivative Instruments - Effect of Derivative Instruments on Statements of Income and Expenses (Detail) - USD ($)
3 Months Ended
Mar. 31, 2019
Mar. 31, 2018
Derivative Instruments, Gain (Loss) [Line Items]    
Futures contracts, realized gain (loss) $ (38,427,269) $ 58,019,993
Futures contracts, unrealized gain (loss) 223,972,176 (20,518,651)
Commodity Futures Contract [Member] | Not Designated as Hedging Instrument [Member]    
Derivative Instruments, Gain (Loss) [Line Items]    
Futures contracts, realized gain (loss) (38,427,269) 58,019,993
Futures contracts, unrealized gain (loss) 223,972,176 (20,518,651)
Net Realized and Net Change in Unrealized Gain (Loss) $ 185,544,907 $ 37,501,342