Financial Highlights (Details)	12 Months Ended
	Dec. 31, 2022 $ / Unit $ / shares	Dec. 31, 2021 $ / Unit $ / shares
Class 0 Units [Member]
Per unit operating performance [Abstract]
Net asset value per Unit, beginning balance (in dollars per unit) | $ / shares	$ 176.27	$ 173.06
Net income [Abstract]
Net investment loss (in dollars per unit)	(15.99)	(7.36)
Net gain on investments (in dollars per unit)	64.31	10.57
Net income (in dollars per unit)	48.32	3.21
Net asset value per Unit, ending balance (in dollars per unit) | $ / shares	$ 224.59	$ 176.27
Ratios to average members' capital and total return [Abstract]
Total return before Incentive Allocation	34.59%	3.37%
Incentive Allocation	(7.18%)	(1.52%)
Total return after Incentive Allocation	27.41%	1.85%
Net investment loss before Incentive Allocation	(1.90%)	(2.66%)
Incentive Allocation	(5.71%)	(1.46%)
Net investment loss after Incentive Allocation	(7.61%)	(4.12%)
Total expenses before Incentive Allocation	2.85%	2.74%
Incentive Allocation	5.71%	1.46%
Total expenses after Incentive Allocation	8.56%	4.20%
Class 2 Units [Member]
Per unit operating performance [Abstract]
Net asset value per Unit, beginning balance (in dollars per unit) | $ / shares	$ 125.68	$ 124.23
Net income [Abstract]
Net investment loss (in dollars per unit)	(12.12)	(6.25)
Net gain on investments (in dollars per unit)	45.66	7.7
Net income (in dollars per unit)	33.54	1.45
Net asset value per Unit, ending balance (in dollars per unit) | $ / shares	$ 159.22	$ 125.68
Ratios to average members' capital and total return [Abstract]
Total return before Incentive Allocation	33.70%	2.74%
Incentive Allocation	(7.02%)	(1.57%)
Total return after Incentive Allocation	26.68%	1.17%
Net investment loss before Incentive Allocation	(2.66%)	(3.42%)
Incentive Allocation	(5.44%)	(1.46%)
Net investment loss after Incentive Allocation	(8.10%)	(4.88%)
Total expenses before Incentive Allocation	3.63%	3.51%
Incentive Allocation	5.44%	1.46%
Total expenses after Incentive Allocation	9.07%	4.97%