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Description of the business and summary of significant accounting policies: - Financial instruments (Details) - USD ($)
$ in Millions
Dec. 31, 2024
May 02, 2024
Dec. 31, 2023
May 07, 2021
Description of the business:        
Interest rate (as a percent) 5.00%      
Interest rate swap        
Description of the business:        
Face amount $ 22.3   $ 38.7  
Level 2 | Interest rate swap        
Description of the business:        
long-term liability 22.3      
Senior unsecured 2027 Notes | Level 2        
Description of the business:        
Senior notes $ 450.0      
Interest rate (as a percent) 7.00%      
Senior notes, fair value $ 450.0      
Senior Unsecured Mirror Notes due 2027 | Level 2        
Description of the business:        
Senior notes $ 300.0      
Interest rate (as a percent) 7.00%      
Senior notes, fair value $ 299.3      
Senior secured 2026 Notes        
Description of the business:        
Interest rate (as a percent) 3.50%      
Face amount $ 500.0     $ 500.0
Senior secured 2026 Notes | Level 2        
Description of the business:        
Senior notes $ 500.0      
Interest rate (as a percent) 3.50%      
Senior notes, fair value $ 482.5      
Secured IPv4 notes        
Description of the business:        
Interest rate (as a percent) 7.924%      
Face amount $ 206.0 $ 206.0    
Secured IPv4 Notes | Level 2        
Description of the business:        
Senior notes 206.0      
Senior notes, fair value $ 211.8