Unaudited Consolidated Statements of Changes in Members' Capital - USD ($)	3 Months Ended
	Mar. 31, 2022	Mar. 31, 2021
Members' capital, beginning balance	$ 28,162,703	$ 28,992,857
Subscriptions	0	0
Redemptions	(37,440)	(381,569)
Net income	3,899,131	1,386,544
Members' capital, ending balance	32,024,394	29,997,832
Class 0 Units [Member]
Members' capital, beginning balance	$ 17,970,556	$ 17,813,986
Members' capital, beginning balance (in units)	101,946.956	102,935.438
Subscriptions	$ 0	$ 0
Subscriptions (in units)	0	0
Redemptions	$ 0	$ (141,545)
Redemptions (in units)	0	(780.118)
Net income	$ 2,494,969	$ 862,680
Members' capital, ending balance	$ 20,465,525	$ 18,535,121
Members' capital, ending balance (in units)	101,946.956	102,155.320
Class 2 Units [Member]
Members' capital, beginning balance	$ 10,192,147	$ 11,178,871
Members' capital, beginning balance (in units)	81,096.662	89,986.690
Subscriptions	$ 0	$ 0
Subscriptions (in units)	0	0
Redemptions	$ (37,440)	$ (240,024)
Redemptions (in units)	(277.380)	(1,845.629)
Net income	$ 1,404,162	$ 523,864
Members' capital, ending balance	$ 11,558,869	$ 11,462,711
Members' capital, ending balance (in units)	80,819.282	88,141.061