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Income taxes: - Effective income tax rate reconciliation (Details) - USD ($) $ in Thousands | 12 Months Ended
--- | ---
Dec. 31, 2025 | Dec. 31, 2024 | Dec. 31, 2023
Reconciliation of the Federal statutory income taxes to the amounts reported in the financial statements |  |  |
Federal income tax expense at statutory rates | $ 51,476 | $ 54,381 | $ (256,086)
State income taxes, net of federal benefit | $ 17,114 | 1,587 | 3,722
Effective Income Tax Rate Reconciliation, State and Local Jurisdiction, Contribution Greater than 50 Percent, Tax Effect [Extensible Enumeration] | CALIFORNIA, stpr:IL, stpr:KS |  |
Impact of foreign operations | $ (2,004) | (1,602) | 868
Effect of cross-border tax laws | (1,565) |  |
Non-deductible expenses | (2,230) | (2,713) | (2,783)
Bargain purchase gain - Cogent Fiber Business acquisition |  | 4,662 | 295,351
Tax effect of TCJA from foreign earnings |  |  | (490)
Changes in valuation allowance |  | (740) | 13,382
Income tax benefit (expense) | $ 62,791 | $ 55,575 | $ 53,964
Effective income tax rate reconciliation (as a percent) |  |  |
Benefit for income taxes at U.S. federal statutory rate (as a percent) | 21.00% |  |
U.S. State and local income taxes, net of federal benefit (as a percent) | 7.10% |  |
Foreign tax effects (as a percent) | (0.50%) |  |
Effect of cross-border tax laws (as a percent) | (1.00%) |  |
Non-deductible expenses (as a percent) | (1.00%) |  |
Effective income tax rate (as a percent) | 25.60% |  |

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