What does it mean when a girl holds your gaze?

Joshua2332
There is this girl at my gym whenever I pass her in the hallways or something, she holds my gaze. We both stare at each other in the eyes for a brief moment (4 - 6 seconds). She also doesn't look away when I notice and continues to look. She doesn't smile either or anything at all (remember we are at the gym). I would say I catch her looking at me than the other way around, but it's even. I'm absolutely awful at reading women who are a stranger to me so I'm just curious what it means and how to react next time. And if it seems like she is interested, how would I react specifically at the gym which is difficult. Just a smile? And no there isn't something weird on my face, or at least I don't think there is haha.
What does it mean when a girl holds your gaze?
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