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Statements of Financial Condition (Parenthetical)
Sep. 30, 2024
$ / shares
shares
Dec. 31, 2023
$ / shares
shares
Class 0 Units [Member]    
Members' capital:    
Capital units, issued (in units) 73,426.668 73,902.569
Capital units, outstanding (in units) 73,426.668 73,902.569
Capital units, value (in dollars per unit) | $ / shares 230.62 224.32
Class 2 Units [Member]    
Members' capital:    
Capital units, issued (in units) 58,924.164 75,735.249
Capital units, outstanding (in units) 58,924.164 75,735.249
Capital units, value (in dollars per unit) | $ / shares 161.84 158.2
Class 3-A Units [Member]    
Members' capital:    
Capital units, issued (in units) 4,142.221 0
Capital units, outstanding (in units) 4,142.221 0
Capital units, value (in dollars per unit) | $ / shares 95.68 0
Class 3-B Units [Member]    
Members' capital:    
Capital units, issued (in units) 12,977.989 0
Capital units, outstanding (in units) 12,977.989 0
Capital units, value (in dollars per unit) | $ / shares 94.06 0