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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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