Unaudited Consolidated Statements of Changes in Members' Capital - USD ($)	3 Months Ended						9 Months Ended
	Sep. 30, 2023	Jun. 30, 2023	Mar. 31, 2023	Sep. 30, 2022	Jun. 30, 2022	Mar. 31, 2022	Sep. 30, 2023	Sep. 30, 2022
Members' capital, beginning balance	$ 34,812,266	$ 31,666,813	$ 32,163,920	$ 32,978,595	$ 32,024,394	$ 28,162,703	$ 32,163,920	$ 28,162,703
Subscriptions	245,000	2,709,000	490,000	0	0	0
Redemptions	(550,361)	(282,200)	(171,935)	(457,366)	(1,739,085)	(37,440)
Net income (loss)	2,432,874	718,653	(815,172)	1,794,343	2,693,286	3,899,131	2,336,355	8,386,760
Members' capital, ending balance	36,939,779	34,812,266	31,666,813	34,315,572	32,978,595	32,024,394	36,939,779	34,315,572
Class 0 Units [Member]
Members' capital, beginning balance	$ 23,288,308	$ 20,289,015	$ 20,440,792	$ 20,447,597	$ 20,465,525	$ 17,970,556	$ 20,440,792	$ 17,970,556
Members' capital, beginning balance (in units)	103,994.084	92,555.866	91,015.472	93,812.927	101,946.956	101,946.956	91,015.472	101,946.956
Subscriptions	$ 245,000	$ 2,709,000	$ 490,000	$ 0	$ 0	$ 0
Subscriptions (in units)	1,085.129	12,363.025	2,107.202	0	0	0
Redemptions	$ (313,975)	$ (205,476)	$ (127,115)	$ (249,815)	$ (1,739,085)	$ 0
Redemptions (in units)	(1,345.69)	(924.807)	(566.808)	(1,148.644)	(8,134.029)	0
Net income (loss)	$ 1,629,521	$ 495,769	$ (514,662)	$ 1,119,546	$ 1,721,157	$ 2,494,969
Members' capital, ending balance	$ 24,848,854	$ 23,288,308	$ 20,289,015	$ 21,317,328	$ 20,447,597	$ 20,465,525	$ 24,848,854	$ 21,317,328
Members' capital, ending balance (in units)	103,733.523	103,994.084	92,555.866	92,664.283	93,812.927	101,946.956	103,733.523	92,664.283
Class 2 Units [Member]
Members' capital, beginning balance	$ 11,523,958	$ 11,377,798	$ 11,723,128	$ 12,530,998	$ 11,558,869	$ 10,192,147	$ 11,723,128	$ 10,192,147
Members' capital, beginning balance (in units)	72,859.501	73,350.181	73,630.241	80,819.282	80,819.282	81,096.662	73,630.241	81,096.662
Subscriptions	$ 0	$ 0	$ 0	$ 0	$ 0	$ 0
Subscriptions (in units)	0	0	0	0	0	0
Redemptions	$ (236,386)	$ (76,724)	$ (44,820)	$ (207,551)	$ 0	$ (37,440)
Redemptions (in units)	(1,421.744)	(490.68)	(280.06)	(1,270.206)	0	(277.38)
Net income (loss)	$ 803,353	$ 222,884	$ (300,510)	$ 674,797	$ 972,129	$ 1,404,162
Members' capital, ending balance	$ 12,090,925	$ 11,523,958	$ 11,377,798	$ 12,998,244	$ 12,530,998	$ 11,558,869	$ 12,090,925	$ 12,998,244
Members' capital, ending balance (in units)	71,437.757	72,859.501	73,350.181	79,549.076	80,819.282	80,819.282	71,437.757	79,549.076