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Property and equipment: (Tables)
12 Months Ended
Dec. 31, 2025
Property and equipment:  
Schedule of property and equipment

Property and equipment consisted of the following (in thousands):

December 31, 

  ​ ​ ​

2025

  ​ ​ ​

2024

Owned assets:

Network equipment

$

1,213,087

$

1,085,979

Owned buildings and leasehold improvements

502,187

470,713

System infrastructure (including owned fiber)

708,353

651,621

Software

14,139

13,780

Office and other equipment

30,306

29,030

Land

135,808

135,871

Asset retirement obligations

31,965

31,965

2,635,845

2,418,959

Less—Accumulated depreciation and amortization

(1,579,825)

(1,350,672)

1,056,020

1,068,287

Assets under finance leases:

IRUs

1,007,061

900,772

Less—Accumulated depreciation and amortization

(342,007)

(304,892)

665,054

595,880

Property and equipment, net

$

1,721,074

$

1,664,167