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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, 2022
Sep. 30, 2021
Sep. 30, 2022
Sep. 30, 2021
Derivative Instruments, Gain (Loss) [Line Items]        
Futures contracts, net realized gain (loss) $ (36,971,931) $ 13,714,916 $ 43,466,990 $ 63,331,799
Futures contracts, net unrealized gain (loss) 7,516,207 (2,833,876) (134,161,945) (12,626,142)
Commodity Futures Contract [Member] | Not Designated as Hedging Instrument [Member]        
Derivative Instruments, Gain (Loss) [Line Items]        
Futures contracts, net realized gain (loss) (36,971,931) 13,714,916 43,466,990 63,331,799
Futures contracts, net unrealized gain (loss) 7,516,207 (2,833,876) (134,161,945) (12,626,142)
Future contracts, net realized and unrealized gain (loss) $ (29,455,724) $ 10,881,040 $ (90,694,955) $ 50,705,657