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Goodwill and intangible assets (Tables)
3 Months Ended 12 Months Ended
Mar. 31, 2021
Dec. 31, 2020
Summary of intangible assets

Changes in the carrying amount of intangible assets were as follows:

 

       
            March 31, 2021      December 31, 2020  
     

Useful Lives

(in years)

     Gross
amount
     Accum.
amort
    Net
amount
     Gross
amount
     Accum.
amort
    Net
amount
 

Trademarks

     indefinite      $ 50,000      $     $ 50,000      $ 50,000      $     $ 50,000  

Customer relationships

     4        75,000        (71,875     3,125        75,000        (67,187     7,813  

Purchased technology

     5        45,423        (35,314     10,109        45,423        (33,149     12,274  

Development costs

     3        9,486        (8,884     602        9,486        (8,434     1,052  

Software

     4        2,406        (2,308     98        2,406        (2,181     225  
  

 

 

 

Total

      $ 182,315      $ (118,381   $ 63,934      $ 182,315      $ (110,951   $ 71,364  

 

   

 

 

 

The components of our other intangible assets were as follows (in thousands):

 

       
            December 31, 2020      December 31, 2019  
      Useful
Lives
    

Gross

Amount

    

Accum.

Amort

   

Net

Amount

    

Gross

Amount

    

Accum.

Amort

   

Net

Amount

 

Trademarks

     indefinite      $ 50,000      $     $ 50,000      $ 50,000      $     $ 50,000  

Customer relationships

     4 years        75,000        (67,187     7,813        75,000        (48,437     26,563  

Purchased technology

     5 years        45,423        (33,149     12,274        45,423        (24,487     20,936  

Development costs

     3 years        9,486        (8,434     1,052        9,486        (5,096     4,390  

Software

     4 years        2,406        (2,181     225        2,400        (1,592     808  
  

 

 

    

 

 

    

 

 

   

 

 

    

 

 

    

 

 

   

 

 

 

Total

      $ 182,315      $ (110,951   $ 71,364      $ 182,309      $ (79,612   $ 102,697  

 

 
Summary of estimated amortization expense  

Estimated amortization expense for the years ending December 31, 2021 through 2025 is as follows (in thousands):

 

   
Year    Expense  

2021

   $ 17,735  

2022

     3,629  

2023

     0  

2024

     0  

2025

     0  

 

 
Summary of amortization expense

The following reflects amortization expense related to intangible assets included with depreciation and amortization:

 

   
     Three months ended
March 31,
 
      2021      2020  

Amortization expense

   $ 7.4 million      $ 7.9 million