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Intangible Assets and Liabilities
 3 Months Ended
Mar. 31, 2021
Intangible Assets, Net (Excluding Goodwill) [Abstract]  
Intangible Assets and Liabilities Intangible Assets and Liabilities
The gross carrying amount and accumulated amortization (accretion) of our intangible assets and liabilities, other than goodwill, were as follows:
March 31, 2021December 31, 2020
In thousandsGrossAccumulated
(Amortization) Accretion		NetGrossAccumulated
(Amortization) Accretion		Net
Intangible Assets
Core-developed technology$514,416 $(491,146)$23,270 $525,051 $(498,113)$26,938 
Customer contracts and relationships378,430 (281,965)96,465 383,245 (280,497)102,748 
Trademarks and trade names78,763 (76,055)2,708 79,716 (76,912)2,804 
Other12,024 (11,606)418 12,025 (11,560)465 
Total intangible assets
$983,633 $(860,772)$122,861 $1,000,037 $(867,082)$132,955 
Intangible Liabilities
Customer contracts and relationships$(23,900)$21,969 $(1,931)$(23,900)$21,479 $(2,421)

A summary of intangible assets and liabilities activity is as follows:
Three Months Ended March 31,
In thousands20212020
Intangible assets, gross beginning balance$1,000,037 $979,814 
Effect of change in exchange rates(16,404)(16,075)
Intangible assets, gross ending balance$983,633 $963,739 
Intangible liabilities, gross beginning balance$(23,900)$(23,900)
Effect of change in exchange rates— — 
Intangible liabilities, gross ending balance$(23,900)$(23,900)

Assumed intangible liabilities reflect the present value of the projected cash outflows for an existing contract where remaining costs are expected to exceed projected revenues.

Estimated future annual amortization (accretion) is as follows:
Year Ending December 31,AmortizationAccretionEstimated Annual Amortization, net
In thousands
2021 (amount remaining at March 31, 2021)$28,447 $(1,472)$26,975 
202227,516 (459)27,057 
202319,898 — 19,898 
202415,700 — 15,700 
202514,706 — 14,706 
Thereafter16,594 — 16,594 
Total intangible assets subject to amortization (accretion)$122,861 $(1,931)$120,930