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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, 2022
Jun. 30, 2021
Jun. 30, 2022
Jun. 30, 2021
Derivative Instruments, Gain (Loss) [Line Items]        
Futures contracts, realized gain (loss) $ 63,795,384 $ 10,187,803 $ 66,855,459 $ 16,668,677
Futures contracts, unrealized gain (loss) (35,118,216) 6,341,209 5,372,655 12,716,862
Commodity Futures Contract [Member] | Not Designated as Hedging Instrument [Member]        
Derivative Instruments, Gain (Loss) [Line Items]        
Futures contracts, realized gain (loss) 63,795,384 10,187,803 66,855,459 16,668,677
Futures contracts, unrealized gain (loss) (35,118,216) 6,341,209 5,372,655 12,716,862
Net Realized and Net Change in Unrealized Gain (Loss) on United States Treasury Obligations, Affiliated Investments and Commodity Futures Contracts $ 28,677,168 $ 16,529,012 $ 72,228,114 $ 29,385,539