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Quarterly financial information (unaudited): (Details) - USD ($)
$ / shares in Units, $ in Thousands
3 Months Ended 12 Months Ended
Dec. 31, 2021
Sep. 30, 2021
Jun. 30, 2021
Mar. 31, 2021
Dec. 31, 2020
Sep. 30, 2020
Jun. 30, 2020
Mar. 31, 2020
Dec. 31, 2021
Dec. 31, 2020
Dec. 31, 2019
Service revenue                 $ 589,797 $ 568,103 $ 546,159
Network operations, including equity-based compensation expense                 226,337 219,157 219,801
Operating income                 119,233 106,922 100,257
Net income (loss)                 $ 48,185 $ 6,216 $ 37,520
Net income (loss) per common share - basic                 $ 1.04 $ 0.14 $ 0.82
Net income (loss) per common share - diluted                 $ 1.03 $ 0.13 $ 0.81
Weighted-average number of common shares-basic                 46,419,180 45,947,772 45,542,315
Weighted-average number of common shares-diluted                 46,963,920 46,668,198 46,080,395
Unrealized foreign exchange gain (loss) on 2024 Euro Notes                 $ 32,522 $ (36,997) $ 2,271
Unrealized foreign currency exchange gain (loss) $ 8,800 $ 10,200 $ (5,300) $ 18,900 $ (19,200) $ (17,300) $ (3,400) $ 2,900 $ 32,522 (36,997) $ 2,271
Realized foreign exchange gain on 2024 Euro Notes     2,500             $ 2,533  
Loss on debt extinguishment and redemption - 2021 Notes     10,800 3,900              
Gain on lease termination 7,400                    
Unaudited                      
Service revenue 147,208 147,927 147,879 146,777 143,901 142,302 140,990 140,915      
Network operations, including equity-based compensation expense 56,418 56,645 56,180 57,092 54,829 54,519 53,886 55,921      
Operating income 36,165 28,556 28,211 26,291 27,384 26,036 27,574 25,850      
Net income (loss) $ 18,507 $ 13,320 $ (2,493) $ 18,851 $ (6,620) $ (6,555) $ 8,564 $ 9,227      
Net income (loss) per common share - basic $ 0.40 $ 0.29 $ (0.05) $ 0.41 $ (0.14) $ (0.11) $ 0.18 $ 0.20      
Net income (loss) per common share - diluted $ 0.39 $ 0.28 $ (0.05) $ 0.41              
Net income per common share-basic and diluted         $ (0.14) $ (0.11) $ 0.19 $ 0.20      
Weighted-average number of common shares-basic 46,420,168 46,293,524 46,229,603 46,067,096 45,904,943 45,815,718 45,754,880 45,658,565      
Weighted-average number of common shares-diluted 46,992,639 46,866,929 46,229,603 46,507,258 45,904,943 45,815,718 46,686,665 46,391,066