Financial Highlights (Details) - $ / shares	3 Months Ended
	Mar. 31, 2023	Mar. 31, 2022
Class 0 Units [Member]
Per unit operating performance [Abstract]
Net asset value per Unit, beginning balance (in dollars per unit)	$ 224.59	$ 176.27
Net income (loss): [Abstract]
Net investment income (loss)	0.2	(5.52)
Net gain (loss) on investments (in dollars per unit)	(5.58)	30
Net income (loss) (in dollars per unit)	(5.38)	24.48
Net asset value per Unit, ending balance (in dollars per unit)	$ 219.21	$ 200.75
Ratios to average members' capital and total return [Abstract]
Total return before Incentive Allocation	(2.40%)	16.34%
Incentive Allocation	0.00%	(2.46%)
Total return after Incentive Allocation	(2.40%)	13.88%
Net investment income (loss) before Incentive Allocation	0.09%	(0.63%)
Incentive Allocation	0.00%	(2.30%)
Net investment income (loss) after Incentive Allocation	0.09%	(2.93%)
Total expenses before Incentive Allocation	0.57%	0.67%
Incentive Allocation	0.00%	2.30%
Total expenses after Incentive Allocation	0.57%	2.97%
Class 2 Units [Member]
Per unit operating performance [Abstract]
Net asset value per Unit, beginning balance (in dollars per unit)	$ 159.22	$ 125.68
Net income (loss): [Abstract]
Net investment income (loss)	(0.16)	(4.04)
Net gain (loss) on investments (in dollars per unit)	(3.94)	21.38
Net income (loss) (in dollars per unit)	(4.1)	17.34
Net asset value per Unit, ending balance (in dollars per unit)	$ 155.12	$ 143.02
Ratios to average members' capital and total return [Abstract]
Total return before Incentive Allocation	(2.58%)	16.13%
Incentive Allocation	0.00%	(2.33%)
Total return after Incentive Allocation	(2.58%)	13.80%
Net investment income (loss) before Incentive Allocation	(0.10%)	(0.82%)
Incentive Allocation	0.00%	(2.19%)
Net investment income (loss) after Incentive Allocation	(0.10%)	(3.01%)
Total expenses before Incentive Allocation	0.76%	0.86%
Incentive Allocation	0.00%	2.19%
Total expenses after Incentive Allocation	0.76%	3.05%