Unaudited Consolidated Statements of Changes in Members' Capital - USD ($)	3 Months Ended				6 Months Ended
	Jun. 30, 2022	Mar. 31, 2022	Jun. 30, 2021	Mar. 31, 2021	Jun. 30, 2022	Jun. 30, 2021
Members' capital, beginning balance	$ 32,024,394	$ 28,162,703	$ 29,997,832	$ 28,992,857	$ 28,162,703	$ 28,992,857
Subscriptions	0	0	0	0
Redemptions	(1,739,085)	(37,440)	(466,841)	(381,569)
Net income	2,693,286	3,899,131	316,329	1,386,544	6,592,417	1,702,873
Members' capital, ending balance	32,978,595	32,024,394	29,847,320	29,997,832	32,978,595	29,847,320
Class 0 Units [Member]
Members' capital, beginning balance	$ 20,465,525	$ 17,970,556	$ 18,535,121	$ 17,813,986	$ 17,970,556	$ 17,813,986
Members' capital, beginning balance (in units)	101,946.956	101,946.956	102,155.320	102,935.438	101,946.956	102,935.438
Subscriptions	$ 0	$ 0	$ 0	$ 0
Subscriptions (in units)	0	0	0	0
Redemptions	$ (1,739,085)	$ 0	$ 0	$ (141,545)
Redemptions (in units)	(8,134.029)	0	0	(780.118)
Net income	$ 1,721,157	$ 2,494,969	$ 203,846	$ 862,680
Members' capital, ending balance	$ 20,447,597	$ 20,465,525	$ 18,738,967	$ 18,535,121	$ 20,447,597	$ 18,738,967
Members' capital, ending balance (in units)	93,812.927	101,946.956	102,155.320	102,155.320	93,812.927	102,155.320
Class 2 Units [Member]
Members' capital, beginning balance	$ 11,558,869	$ 10,192,147	$ 11,462,711	$ 11,178,871	$ 10,192,147	$ 11,178,871
Members' capital, beginning balance (in units)	80,819.282	81,096.662	88,141.061	89,986.690	81,096.662	89,986.690
Subscriptions	$ 0	$ 0	$ 0	$ 0
Subscriptions (in units)	0	0	0	0
Redemptions	$ 0	$ (37,440)	$ (466,841)	$ (240,024)
Redemptions (in units)	0	(277.380)	(3,526.656)	(1,845.629)
Net income	$ 972,129	$ 1,404,162	$ 112,483	$ 523,864
Members' capital, ending balance	$ 12,530,998	$ 11,558,869	$ 11,108,353	$ 11,462,711	$ 12,530,998	$ 11,108,353
Members' capital, ending balance (in units)	80,819.282	80,819.282	84,614.405	88,141.061	80,819.282	84,614.405