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Fair Value Measurements (Details) - USD ($)
Mar. 31, 2020
Dec. 31, 2019
Assets    
Cash and cash equivalents $ 72,222,728 $ 59,130,285
Liabilities    
Long-term debt 516,420,316  
Restricted cash 3,000,000.0 5,500,000
Norwegian Bond Debt Facility    
Liabilities    
Long-term debt 188,000,000 188,000,000
New Ultraco Debt Facility    
Liabilities    
Long-term debt 211,800,316 172,613,988
Super Senior Facility    
Liabilities    
Long-term debt 2,500,000  
Convertible Bond Debt    
Liabilities    
Long-term debt 114,120,000 114,120,000
Recurring | Level 1    
Assets    
Cash and cash equivalents 72,222,728 59,130,285
Recurring | Level 1 | Norwegian Bond Debt Facility    
Liabilities    
Long-term debt 0 0
Recurring | Level 1 | New Ultraco Debt Facility    
Liabilities    
Long-term debt 0 0
Recurring | Level 1 | Super Senior Facility    
Liabilities    
Long-term debt 0  
Recurring | Level 1 | Convertible Bond Debt    
Liabilities    
Long-term debt 0 0
Recurring | Level 2    
Assets    
Cash and cash equivalents 0 0
Recurring | Level 2 | Norwegian Bond Debt Facility    
Liabilities    
Long-term debt 128,780,000 192,626,680
Recurring | Level 2 | New Ultraco Debt Facility    
Liabilities    
Long-term debt 211,800,316 172,613,988
Recurring | Level 2 | Super Senior Facility    
Liabilities    
Long-term debt 2,500,000  
Recurring | Level 2 | Convertible Bond Debt    
Liabilities    
Long-term debt $ 104,020,380 $ 118,844,868