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Description of the business and summary of significant accounting policies: (Details)
$ in Millions
12 Months Ended
Dec. 31, 2016
USD ($)
MB
Dec. 31, 2015
USD ($)
Dec. 31, 2014
USD ($)
Revenue recognition      
Bad debt expense, net of recoveries | $ $ 2.8 $ 3.3 $ 3.7
Excise and Sales Taxes | $ $ 9.1 $ 3.6 $ 0.2
Minimum      
On-net service - high-speed Internet access and IP connectivity      
Speed per second of bandwidth (in megabits and gigibits) | MB 100    
Maximum      
On-net service - high-speed Internet access and IP connectivity      
Speed per second of bandwidth (in megabits and gigibits) | MB 100