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Investments - Schedule of Certain Investments (Details) - USD ($) shares in Thousands, $ in Thousands	9 Months Ended
	Sep. 30, 2024	Dec. 31, 2023
Net Investment Income [Line Items]
Investments in Two Sigma Funds, at fair value	$ 932,787	$ 851,470
TS Hamilton Fund
Net Investment Income [Line Items]
Investments in Two Sigma Funds, at fair value	$ 932,787	$ 851,470
State Street Treasury Obligations Money Market Fund | TS Hamilton Fund | Long
Net Investment Income [Line Items]
Principal / Shares	185,175
Investments in Two Sigma Funds, at fair value	$ 185,175
State Street Treasury Obligations Money Market Fund | Members' Equity | Investment Concentration Risk | TS Hamilton Fund | Long
Net Investment Income [Line Items]
% of Members' Equity	9.90%
U.S. Treasury Securities, 0.0000% - 4.2500%, due 10/29/2024 - 8/15/2044 | TS Hamilton Fund | Long
Net Investment Income [Line Items]
Principal / Shares	2,049,275
Investments in Two Sigma Funds, at fair value	$ 2,073,372
U.S. Treasury Securities, 0.0000% - 4.2500%, due 10/29/2024 - 8/15/2044 | Members' Equity | Investment Concentration Risk | TS Hamilton Fund | Long
Net Investment Income [Line Items]
% of Members' Equity	110.30%
State Street Institutional Treasury Plus Money Market Fund | TS Hamilton Fund | Long
Net Investment Income [Line Items]
Principal / Shares	98,599
Investments in Two Sigma Funds, at fair value	$ 98,599
State Street Institutional Treasury Plus Money Market Fund | Members' Equity | Investment Concentration Risk | TS Hamilton Fund | Long
Net Investment Income [Line Items]
% of Members' Equity	5.30%
U.S. Treasury Securities, 3.5000% - 4.2500%, due 9/30/2026 - 8/15/2054 | TS Hamilton Fund | Short
Net Investment Income [Line Items]
Principal / Shares	852,058
Investments in Two Sigma Funds, at fair value	$ 850,202
U.S. Treasury Securities, 3.5000% - 4.2500%, due 9/30/2026 - 8/15/2054 | Members' Equity | Investment Concentration Risk | TS Hamilton Fund | Short
Net Investment Income [Line Items]
% of Members' Equity	45.20%

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