The following table summarizes our recognized intangible assets as a result of the arrangements described in the following sections:


	June 30, 2026			December 31, 2025
	Weighted-average Estimated Useful Lives	Amount		Weighted-average Estimated Useful Lives	Amount

		(in thousands)			(in thousands)
Gross amount	13.7 years	$	39,400	13.7 years	$	39,400
Less accumulated amortization		(12,759)			(11,323)
Total		$	26,641		$	28,077

Amortization expense, recorded as part of “Cost of license, services, and royalty revenue” on our condensed consolidated statements of operations, was $0.7 million and $1.4 million for the three and six months ended June 30, 2026, respectively, and $0.7 million and $1.3 million for the three and six months ended June 30, 2025, respectively. Estimated future amortization expense is $1.4 million for the remainder of 2026, $2.9 million for each of the years from 2027 to 2031 and $10.7 million thereafter.