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Shareholders' equity | 6 Months Ended
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Jun. 30, 2023
Equity [Abstract] |
Stock-based compensation | Shareholders' equity Stock-based compensation During the six months ended June 30, 2023, the Company granted 1,338 stock-settled restricted and performance stock units with an aggregate grant-date fair value of $102,999 and a weighted average expected life of approximately 3.4 years. As of June 30, 2023, the Company had $175,710 in total estimated but unrecognized stock-based compensation expense under the Company's equity compensation and employee stock purchase plans. The Company expects to recognize this expense over a weighted average remaining period of 1.4 years.
Share repurchases | Share repurchases The Company has not repurchased any shares subsequent to December 31, 2022.

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