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Statements of Changes in Members' Capital - USD ($)
12 Months Ended
Dec. 31, 2020
Dec. 31, 2019
Increase (Decrease) in Partners' Capital [Roll Forward]    
Members' capital, beginning $ 26,882,563 $ 31,314,964
Subscriptions 0 200,000
Redemptions (1,391,340) (8,179,050)
Net income 3,703,593 3,546,649
Members' capital, ending 29,194,816 26,882,563
Class 0 Units [Member]    
Increase (Decrease) in Partners' Capital [Roll Forward]    
Members' capital, beginning $ 15,804,368 $ 18,378,136
Members' capital, beginning (in units) 103,946.549 137,453.802
Subscriptions $ 0 $ 200,000
Subscriptions (in units) 0 1,499.645
Redemptions $ (473,190) $ (4,901,470)
Redemptions (in units) (3,065.216) (35,006.898)
Net income $ 2,127,318 $ 2,127,702
Members' capital, ending $ 17,458,496 $ 15,804,368
Members' capital, ending (in units) 100,881.333 103,946.549
Class 2 Units [Member]    
Increase (Decrease) in Partners' Capital [Roll Forward]    
Members' capital, beginning $ 11,078,195 $ 12,936,828
Members' capital, beginning (in units) 102,244.827 134,750.838
Subscriptions $ 0 $ 0
Subscriptions (in units) 0 0
Redemptions $ (918,150) $ (3,277,580)
Redemptions (in units) (7,770.993) (32,506.011)
Net income $ 1,576,275 $ 1,418,947
Members' capital, ending $ 11,736,320 $ 11,078,195
Members' capital, ending (in units) 94,473.834 102,244.827