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Derivative Instruments - Effect of Derivative Instruments on Statements of Income and Expenses (Detail) - USD ($)
12 Months Ended
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
Derivative Instruments, Gain (Loss) [Line Items]      
Futures contracts, realized gain (loss) $ (108,439,638) $ 43,624,801 $ 58,338,714
Futures contracts, unrealized gain (loss) 291,494,569 (359,469,489) 14,636,898
Commodity Futures Contract [Member] | Not Designated as Hedging Instrument [Member]      
Derivative Instruments, Gain (Loss) [Line Items]      
Futures contracts, realized gain (loss) (108,439,638) 43,624,801 58,338,714
Futures contracts, unrealized gain (loss) 291,494,569 (359,469,489) 14,636,898
Net Realized and Net Change in Unrealized Gain (Loss) $ 183,054,931 $ (315,844,688) $ 72,975,612