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Investments - Narrative (Details) - USD ($) $ in Thousands		3 Months Ended		6 Months Ended	9 Months Ended
	Jul. 01, 2023	Sep. 30, 2023	Sep. 30, 2022	Jun. 30, 2023	Sep. 30, 2023	Sep. 30, 2022	Dec. 31, 2022	Dec. 31, 2021
Net Investment Income [Line Items]
Management fees		$ 10,958	$ 14,420		$ 35,806	$ 40,601
Restricted cash and cash equivalents		98,979			98,979		$ 130,783
Cash, cash equivalents and restricted cash		903,527	1,352,256		903,527	1,352,256	1,207,203	$ 964,126
Cash and cash equivalents		804,548			804,548		1,076,420
Capital Requirements | Asset Pledged as Collateral
Net Investment Income [Line Items]
Investments, fair value		226,900			226,900		274,000
Restricted cash and cash equivalents		1,800			1,800		2,100
Trust Accounts | Asset Pledged as Collateral
Net Investment Income [Line Items]
Investments, fair value		54,100			54,100		39,000
Restricted cash and cash equivalents		1,400			1,400		1,300
Underwriting Obligations | Asset Pledged as Collateral
Net Investment Income [Line Items]
Investments, fair value		34,900			34,900		0
Restricted cash and cash equivalents		95,500			95,500		126,800
Escrow Funds | Asset Pledged as Collateral
Net Investment Income [Line Items]
Restricted cash and cash equivalents		300			300		600
TS Hamilton Fund
Net Investment Income [Line Items]
Management fee percentage	2.50%			3.00%
Management fees		10,400	14,000		34,400	39,500
Incentive allocation	30.00%
Incentive allocation, reduction (as a percent)	50.00%
Incentive allocation, cumulative net profits (as a percent)	200.00%
Incentive allocation, excess profits (as a percent)	25.00%			20.00%
Incentive allocation, net profits (as a percent)	10.00%			15.00%
Incentive allocation		9,100	$ (15,300)		15,100	$ 68,000
Cash and cash equivalents		$ 450,759			$ 450,759		$ 800,239
TS Hamilton Fund | Hamilton Re
Net Investment Income [Line Items]
Initial term		3 years			3 years
Capital account withdrawal, monthly liquidity, number of calendar days prior to month end		15 days			15 days
Capital account withdrawal, daily liquidity, number of business day's written notice		1 day			1 day
Two Sigma Futures Portfolio, LLC (FTV)
Net Investment Income [Line Items]
Percentage of ownership in funds		20.10%			20.10%
Two Sigma Spectrum Portfolio, LLC (STV)
Net Investment Income [Line Items]
Percentage of ownership in funds		16.10%			16.10%
Two Sigma Equity Spectrum Portfolio, LLC (ESTV)
Net Investment Income [Line Items]
Percentage of ownership in funds		8.60%			8.60%
Two Sigma Hamilton Fund, LLC | Hamilton Re
Net Investment Income [Line Items]
Commitment for investment in Two Sigma Funds	$ 1,800,000
Investment in Two Sigma Funds, as a percentage of net tangible assets	60.00%			95.00%

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