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Related Party Transactions - Receivables from and Payables to Related Broker-Dealers (Details) - Related Party - USD ($)
Jun. 30, 2023
Dec. 31, 2022
Transactions with Freedom    
Related Party Transaction [Line Items]    
Receivables from related parties $ 1,900,000 $ 1,400,000
Open Derivative Contracts with Cantor    
Related Party Transaction [Line Items]    
Receivables from related parties 4,400,000 3,100,000
Payables to related parties 3,000,000 5,800,000
Fails and Pending Trades with Cantor    
Related Party Transaction [Line Items]    
Receivables from related parties   0
Payables to related parties $ 5,700,000 $ 0