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Related party transactions: (Details)
$ in Thousands
1 Months Ended 12 Months Ended
Jul. 25, 2023
USD ($)
ft²
May 31, 2015
Dec. 31, 2024
USD ($)
ft²
Dec. 31, 2023
USD ($)
Dec. 31, 2022
USD ($)
Amendment          
Related party transactions          
Notice period for cancellation of lease 60 days        
Area of land | ft² 7,369        
Operating lease income | $ $ 162,118        
Amendment | Auditorium suitable for training          
Related party transactions          
Area of land | ft² 4,987        
Amendment | Data center in building          
Related party transactions          
Area of land | ft² 2,382        
Related party | Office Lease          
Related party transactions          
Payment made for rent and related costs | $     $ 3,300 $ 2,800 $ 1,700
Related party | Office Lease | Sodium LLC          
Related party transactions          
Fixed annual rent | $     $ 1,000    
Lease term (in years)   5 years      
Notice period for cancellation of lease   60 days      
Related party | Office Lease | Thorium LLC          
Related party transactions          
Lease term (in years)     5 years    
Notice period for cancellation of lease   60 days      
Area of land | ft²     54,803    
Operating lease income payments | $     $ 1,200    
Operating Lease, Lease Income, Statement of Income or Comprehensive Income [Extensible Enumeration]     Gain on lease termination    
Related party | Network Operations Lease | Germanium LLC          
Related party transactions          
Lease term (in years)     5 years    
Notice period for cancellation of lease   60 days      
Area of land | ft²     1,587    
Operating lease income | $     $ 34,914