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Commitments and contingencies: (Tables)
12 Months Ended
Dec. 31, 2021
Commitments and contingencies:  
Schedule of future minimum annual payments under operating leases, other facility leases and building access agreements

The Company enters into leases for network equipment sites and for space in data center facilities. Future minimum annual payments under these arrangements are as follows (in thousands):

For the year ending December 31, 

    

2022

$

24,740

2023

 

12,225

2024

 

8,450

2025

 

6,112

2026

 

4,711

Thereafter

 

1,872

$

58,110