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Income taxes: - Temporary differences (Details) - USD ($)
$ in Thousands
Dec. 31, 2025
Dec. 31, 2024
Deferred Tax Assets:    
Net operating loss carry-forwards $ 290,219 $ 236,346
Interest expense limitation 86,577 66,386
Accrued liabilities and other 550 8,584
Operating leases 87,029 98,261
Total gross deferred tax assets 464,375 409,577
Valuation allowance (148,055) (131,773)
Net deferred tax assets 316,320 277,804
Deferred Tax Liabilities:    
Property & equipment 298,991 308,254
Intangibles 116,087 113,596
Deferred consideration - IP Transit Services Agreement 43,261 63,070
Investment in foreign subsidiaries 107,267 95,974
Right-of-use assets 84,008 95,176
Gross deferred tax liabilities 649,614 676,070
Net deferred tax liabilities 333,294 $ 398,266
Sprint Business    
Deferred Tax Liabilities:    
Net deferred tax liabilities $ 475,000