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OTHER INTANGIBLE ASSETS
9 Months Ended
Sep. 30, 2022
OTHER INTANGIBLE ASSETS.  
OTHER INTANGIBLE ASSETS

NOTE 7—OTHER INTANGIBLE ASSETS

The components of other intangible assets, net as of September 30, 2022 and December 31, 2021 are as follows:

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​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

As of September 30, 2022

​

As of December 31, 2021

​

    

Gross

    

Accumulated

    

Net

    

Gross

​

Accumulated

    

Net

​

​

Value

​

Amortization

​

Value

​

Value

​

Amortization

​

Value

​

​

(in thousands)

​

(in thousands)

Definite-lived

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

Customer relationships

​

$

116,554

​

$

(45,172)

​

$

71,382

​

$

116,554

​

$

(38,371)

​

$

78,183

Patents and other intellectual property

​

​

12,772

​

​

(5,354)

​

​

7,418

​

​

12,772

​

​

(4,313)

​

​

8,459

Other

​

​

7,234

​

​

(6,970)

​

​

264

​

 

7,234

​

 

(6,795)

​

 

439

Total definite-lived

​

​

136,560

​

​

(57,496)

​

​

79,064

​

​

136,560

​

​

(49,479)

​

​

87,081

Indefinite-lived

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

Water rights

​

​

7,031

​

​

—

​

​

7,031

​

​

7,031

​

​

—

​

​

7,031

Trademarks

​

​

14,360

​

​

—

​

​

14,360

​

​

14,360

​

​

—

​

​

14,360

Total indefinite-lived

​

​

21,391

​

​

—

​

​

21,391

​

​

21,391

​

​

—

​

​

21,391

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

Total other intangible assets, net

​

$

157,951

​

$

(57,496)

​

$

100,455

​

$

157,951

​

$

(49,479)

​

$

108,472

​

The weighted-average amortization period for customer relationships, patents and other intellectual property, and other definite-lived assets was 8.0 years, 5.7 years, and 1.9 years, respectively, as of September 30, 2022. See “Note 6—Property and Equipment” for the amortization expense during the Current Quarter, Prior Quarter, Current Period and Prior Period, respectively. The indefinite-lived water rights and trademarks are generally subject to renewal every five to ten years at immaterial renewal costs. Annual amortization of intangible assets for the next five years and beyond is as follows:

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​

​

​

​

​

    

Amount

​

​

(in thousands)

Remainder of 2022

​

$

2,648

Year ending December 31, 2023

​

 

10,594

Year ending December 31, 2024

​

 

10,525

Year ending December 31, 2025

​

 

10,362

Year ending December 31, 2026

​

 

10,274

Thereafter

​

​

34,661

Total

​

$

79,064

​