When she asked about what your major was, and when she asked what your name was, those were ioi's. It means that she's interested in you.
What you could try doing next lab is getting into a conversation with her over something random, and keep it entertaining and engaging. When the lab is over, tell her that you have to leave but you would love to continue the conversation. Don't include at the end if you could get her number, because at that moment she will give it to you.
Once you do all of this, come back here with a status report and depending on if things were successful, we'll start you on Phase 2.
You are dismissed Private!
"There is no better than adversity. Every defeat, every heartbreak, every loss, contains its own seed, its own lesson on how to improve your performance the next time." - Malcolm X