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INTANGIBLE ASSETS: (Tables) | 12 Months Ended
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Dec. 31, 2023
INTANGIBLE ASSETS: |
Schedule of major classes of intangible assets and goodwill | ​
​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | At December 31,
(in millions) |  | 2023 |  | 2022
Mining concessions | ​ | $ | 121.2 | ​ | $ | 121.2
Mine engineering and development studies | ​ |  | 19.8 | ​ |  | 19.8
Software | ​ |  | 74.3 | ​ |  | 70.3
​ | ​ |  | 215.3 | ​ |  | 211.3
Accumulated amortization: | ​ |  | ​ | ​ | ​ | ​
Mining concessions | ​ | ​ | (44.2) | ​ | ​ | (42.2)
Mine engineering and development studies | ​ | ​ | (19.8) | ​ | ​ | (19.2)
Software | ​ | ​ | (63.0) | ​ | ​ | (57.1)
​ | ​ | ​ | (127.0) | ​ | ​ | (118.5)
Goodwill | ​ |  | 41.9 | ​ |  | 41.9
Intangible assets, net | ​ | $ | 130.2 | ​ | $ | 134.7
Schedule of estimated amortization of intangible assets for future periods | ​
​ | ​ | ​ | ​
Estimated amortization expense (in millions): |  | ​ | ​
2024 | ​ | $ | 6.3
2025 | ​ | ​ | 6.0
2026 | ​ | ​ | 2.1
2027 | ​ | ​ | 2.1
2028 | ​ | ​ | 2.0
Total 2024 - 2028 | ​ | $ | 18.5
Average annual | ​ | $ | 3.7

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