Sadly, not every woman has the gusto to be straightforward. While it would be nice if she sent you a bluntly worded email saying, "Yes, I've moved on and there's no chance I'll look back," or "Please try harder to get me back," chances are she won't be that transparent. Instead, you'll be forced to interpret her current feelings based on her actions, and infer your shot at reconciling from that.
Some of the signs will be easy to construe: Is she still calling and texting you? Does she say she misses you, or seem sad when you're around? Is she ice-grilling the girl you just walked into the bar with?
Other things are tougher to read. When she calls, is she only being polite, or does she seem to be fishing for personal details? Is she dating other people, and if so, is she doing it because she genuinely wants to move on, or solely to incite a reaction from you?
If you find yourself completely befuddled by her behavior, pull a sneaky move and talk to one of her friends that you trust, and that has seemed to support your relationship. Ask her how your ex is doing, and try to get her to spill about what she wants from you. Just keep in mind, her friend will likely report back, so choose your words carefully. Regretful but composed is a good image to project.