Relating Hall sensor outputs to absolute rotor position (Which combination corresponds to which angle)
You've got 6 steps, just apply one, and the rotor will align on the magnetic field you generate with the stator. You just have to read the encoder, and this gives you an initial position.

There are 2 tricks:


The number of pole pairs of your motor is probably not 1. It's probably 6 or 7 (I'm just guessing), so, when you have your initial position, apply the next step, and read the position again. The difference should be 360/(6*n)°, where n is your number of pole pairs (n is an integer). You shall use this step size instead of 60° (which would be suitable for a single pole-pair motor).  
If you commute when the rotor reaches the position you read during alignment, your efficiency will be very low, you should use this step from (120/n)° earlier to (60/n)° earlier.