Segment information: (Tables)

6 Months Ended

Jun. 30, 2020

Segment information:

Schedule of service revenue by geographic region and product class and long lived assets by geographic region

Three months Ended June 30, 2020
Revenues	On net		Off-net		Non-core		Total
North America	$	82,402	$	32,592	$	137	$	115,131
Europe		19,348		4,216		9		23,573
Latin America		426		10		—		436
Asia Pacific		1,624		226		—		1,850
Total	$	103,800	$	37,044	$	146	$	140,990

Three months Ended June 30, 2019
Revenues	On net		Off-net		Non-core		Total
North America	$	78,484	$	32,864	$	111	$	111,459
Europe		17,789		4,113		15		21,917
Latin America		71		3		—		74
Asia Pacific		1,128		211		—		1,339
Total	$	97,472	$	37,191	$	126	$	134,789

Six months Ended June 30, 2020
Revenues	On net		Off-net		Non-core		Total
North America	$	164,948	$	65,533	$	264	$	230,745
Europe		38,468		8,359		20		46,847
Latin America		746		20		—		766
Asia Pacific		3,094		452		—		3,546
Total	$	207,256	$	74,364	$	284	$	281,904

Six months Ended June 30, 2019
Revenues	On net		Off-net		Non-core		Total
North America	$	156,462	$	65,499	$	197	$	222,158
Europe		35,969		8,139		41		44,149
Latin America		105		4		—		109
Asia Pacific		2,120		394		—		2,514
Total	$	194,656	$	74,036	$	238	$	268,930

	June 30,		December 31,
	2020		2019
Long lived assets, net
North America	$	301,187	$	269,364
Europe and other		105,576		99,582
Total	$	406,763	$	368,946