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Investments - Summary of Certain Investments (Details) - USD ($) shares in Thousands, $ in Thousands	9 Months Ended
	Sep. 30, 2023	Dec. 31, 2022
Net Investment Income [Line Items]
Investments in Two Sigma Funds, at fair value	$ 979,986	$ 740,736
TS Hamilton Fund
Net Investment Income [Line Items]
Investments in Two Sigma Funds, at fair value	$ 979,986	$ 740,736
State Street Treasury Obligations Money Market Fund | TS Hamilton Fund | Long
Net Investment Income [Line Items]
Principal / Shares	126,802
Investments in Two Sigma Funds, at fair value	$ 126,802
State Street Treasury Obligations Money Market Fund | Members' Equity | Investment Concentration Risk | TS Hamilton Fund | Long
Net Investment Income [Line Items]
% of Members' Equity	7.50%
U.K. Gilt Securities, 1.6250%, due 10/22/2028 | TS Hamilton Fund | Long
Net Investment Income [Line Items]
Principal / Shares	604
Investments in Two Sigma Funds, at fair value	$ 650
U.K. Gilt Securities, 1.6250%, due 10/22/2028 | Members' Equity | Investment Concentration Risk | TS Hamilton Fund | Long
Net Investment Income [Line Items]
% of Members' Equity	0.00%
U.K. Gilt Securities, 3.2500% - 3.7500%, due 1/31/2033 - 10/22/2053 | TS Hamilton Fund | Short
Net Investment Income [Line Items]
Principal / Shares	82,909
Investments in Two Sigma Funds, at fair value	$ 89,773
U.K. Gilt Securities, 3.2500% - 3.7500%, due 1/31/2033 - 10/22/2053 | Members' Equity | Investment Concentration Risk | TS Hamilton Fund | Short
Net Investment Income [Line Items]
% of Members' Equity	5.30%
U.S. Treasury Securities, 0.0000% - 4.6250%, due 10/5/2023 - 8/15/2043 | TS Hamilton Fund | Long
Net Investment Income [Line Items]
Principal / Shares	710,830
Investments in Two Sigma Funds, at fair value	$ 704,227
U.S. Treasury Securities, 0.0000% - 4.6250%, due 10/5/2023 - 8/15/2043 | Members' Equity | Investment Concentration Risk | TS Hamilton Fund | Long
Net Investment Income [Line Items]
% of Members' Equity	41.50%
U.S. Treasury Securities, 3.8750% - 5.0000%, due 9/30/2025 - 8/15/2023 | TS Hamilton Fund | Short
Net Investment Income [Line Items]
Principal / Shares	240,013
Investments in Two Sigma Funds, at fair value	$ 236,195
U.S. Treasury Securities, 3.8750% - 5.0000%, due 9/30/2025 - 8/15/2023 | Members' Equity | Investment Concentration Risk | TS Hamilton Fund | Short
Net Investment Income [Line Items]
% of Members' Equity	13.90%

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