Statements of Financial Condition (Parenthetical)	Dec. 31, 2020 $ / Unit shares	Dec. 31, 2019 $ / Unit shares
Class 0 Units [Member]
Members' capital:
Capital units, issued (in units)	100,881.333	103,946.549
Capital units, outstanding (in units)	100,881.333	103,946.549
Capital units, value (in dollars per unit) | $ / Unit	173.06	152.04
Class 2 Units [Member]
Members' capital:
Capital units, issued (in units)	94,473.834	102,244.827
Capital units, outstanding (in units)	94,473.834	102,244.827
Capital units, value (in dollars per unit) | $ / Unit	124.23	108.35