Put it this way, say you have the...er..."awsome qualities", but then some girl (you happen to like) does not like you beacuse she does not like a man with "awsome qaulities"
well i always thought girls prefered personalities like they say but they want a good looking guy i know this as lots of people say i have a good personality but i'm not boyfriend material.
Just be really friendly towards her and her friends. Don't ask her out atleast for a couple of weeks. All you have to do is play the waiting game, lol.
I hate to break it to you, but chances are you wont get her back. When girls break up with you, it tends to be because they don't like you anymore. Or they like someone else. Even if your nice, even if you wait, its not going to cut it. There's a saying, you can only love a person once. I'm afraid it goes the same for what you are experiencing.
Just move on man. If she doesn't want to be around you, then shes not worth the trouble of trying to get back.
I know its hard, but I know what you're going through.