To have control over, ie. in cracking, to have gained root- or administrator-level access to one's computer, by (for instance) installing a trojan-horse program thereupon, exploiting a security loophole in its operating system, or socially-engineering access to its password. (Often the domain of script-kiddies and malicious crackers, rather than "hackers" of the creative type.)
"I own your box."
"The computers at the school lab are now owned."
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