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Description of the business and summary of significant accounting policies: (Details)
$ in Thousands
1 Months Ended 3 Months Ended 12 Months Ended
May 01, 2023
USD ($)
installment
Apr. 30, 2024
USD ($)
Sep. 30, 2024
USD ($)
Mar. 31, 2024
USD ($)
Sep. 30, 2023
USD ($)
Dec. 31, 2025
USD ($)
item
country
MB
GB
Dec. 31, 2024
USD ($)
Dec. 31, 2023
USD ($)
Description of the business and summary of significant accounting policies:                
Numbers of network operated | item           2    
Number of countries entity operates | country           57    
Estimated payment related to acquired short-term lease obligations $ 157,200              
Estimated Purchase Agreement payment to be received, amount of discount           $ 4,006 $ 5,755  
Lease liability           324,329    
Acquisition related costs             21,407 $ 18,492
Adjustment to reclassify, right-of-use leased assets         $ 24,900      
Adjustment to reclassify operating lease liabilities to finance lease liability         160,900      
Unfavorable lease liabilities         160,900      
Optical fiber and rights of way                
Description of the business and summary of significant accounting policies:                
Total property and equipment 369,200              
Commercial Agreement                
Description of the business and summary of significant accounting policies:                
Amount due to the seller           1,000 2,600  
Amount due from the seller recorded during the period           2,600 14,700 23,900
IP Transit Services Agreement | T-Mobile USA, Inc.,                
Description of the business and summary of significant accounting policies:                
Amount payable 700,000         700,000    
Amortization of discount resulted in interest income           16,400 23,800 26,800
Amounts due from Seller - IP Transit Services Agreement, amount of discount 79,600              
Consideration paid           $ 100,000 204,200 204,200
IP Transit Services Agreement | Equal monthly installments during the first year after the Closing | T-Mobile USA, Inc.,                
Description of the business and summary of significant accounting policies:                
Amount payable 350,000              
IP Transit Services Agreement | Equal monthly installments over the subsequent 42 months | T-Mobile USA, Inc.,                
Description of the business and summary of significant accounting policies:                
Amount payable 350,000              
IP Transit Services Agreement | Per Month During First Year After Closing Date | T-Mobile USA, Inc.,                
Description of the business and summary of significant accounting policies:                
Amount payable 29,200              
IP Transit Services Agreement | Per Month Over Subsequent Forty Two Months | T-Mobile USA, Inc.,                
Description of the business and summary of significant accounting policies:                
Amount payable $ 8,300              
Transition Services Agreement                
Description of the business and summary of significant accounting policies:                
Agreement term (in years) 2 years              
Extension period (in years) 1 year              
Period of prior written notice (in days) 30 days              
Number of days' written notice to terminate the agreement           30 days    
Period after which a notice for termination of agreement can be sent (in days)           90 days    
Maturity period from receipt of the related invoice for amount billed under the agreement (in days)           30 days    
Amount due to the seller recorded during the period           $ 400 27,200 284,100
Amount paid to the seller           1,000 93,800 217,200
Amount due to the seller             500  
Amount due from the seller             100  
Amount due from the seller recorded during the period           200 1,100 6,200
Amount received from the seller           200 1,300 6,000
Wireline Network Holdings LLC                
Description of the business and summary of significant accounting policies:                
Cash and cash equivalents $ 47,074              
Estimated Purchase Agreement payment to be received, amount of discount 8,392              
Reduction in short term lease payment       $ 24,200        
Amounts due from Seller - IP Transit Services Agreement, amount of discount 79,610              
Consideration paid 1         1    
Acquisition related costs           0 9,100 2,300
Total property and equipment 965,715              
Wireline Network Holdings LLC | Buyer                
Description of the business and summary of significant accounting policies:                
Short term lease payment           5,000    
Wireline Network Holdings LLC | Purchase Agreement                
Description of the business and summary of significant accounting policies:                
Amount payable 1              
Severance costs             28,600  
Acquisition related costs 13,600              
Wireline Network Holdings LLC | Purchase Agreement | Buyer                
Description of the business and summary of significant accounting policies:                
Revenue               283,300
Pre-tax loss               234,500
Cash and cash equivalents 43,400              
Working capital adjustment 61,100              
Additional working capital adjustment         5,000      
Estimated payment related to acquired short-term lease obligations $ 28,100              
Estimated payment related to acquired short-term lease obligations, number of equal payments | installment 4              
Estimated Purchase Agreement payment to be received, amount of discount $ 8,400              
Amortization of discount resulted in interest income         $ 4,800      
Amortization of income           $ 1,800 700 1,900
Short-term lease payments       17,000        
Severance costs       7,200     $ 12,300 $ 16,200
Additional consideration due to the seller   $ 5,000 $ 28,600          
Wireline Network Holdings LLC | IP Transit Services Agreement | Buyer                
Description of the business and summary of significant accounting policies:                
Estimated payment related to acquired short-term lease obligations $ 28,100     $ 17,000        
Estimated payment related to acquired short-term lease obligations, number of equal payments | installment 4              
Estimated Purchase Agreement payment to be received, amount of discount $ 8,400              
Minimum                
Description of the business and summary of significant accounting policies:                
On-net service speed range | MB           100    
Minimum | Wireline Network Holdings LLC | Purchase Agreement | Buyer                
Description of the business and summary of significant accounting policies:                
Estimated payment related to acquired short-term lease obligations, payment period after closing date 55 months              
Minimum | Wireline Network Holdings LLC | IP Transit Services Agreement | Buyer                
Description of the business and summary of significant accounting policies:                
Estimated payment related to acquired short-term lease obligations, payment period after closing date 55 days              
Maximum                
Description of the business and summary of significant accounting policies:                
On-net service speed range | GB           400    
Maximum | Wireline Network Holdings LLC | Purchase Agreement | Buyer                
Description of the business and summary of significant accounting policies:                
Estimated payment related to acquired short-term lease obligations, payment period after closing date 58 months              
Maximum | Wireline Network Holdings LLC | IP Transit Services Agreement | Buyer                
Description of the business and summary of significant accounting policies:                
Estimated payment related to acquired short-term lease obligations, payment period after closing date 58 days