Shown below is the pickup casing with one coil in place.
The position / orientation of the coil being worked on here relative to the other coil, ....is rotated 180 degrees from each other, flipped upside down from each other, and their start / stop coil-end wires (pickup leads) are wired into the cirucuit opposite each other. The coils are wired in parallel into the circuit.
NOTE: Although it can't be seen in the picture below that is missing the coil being worked on; It is worthy of note and interest to say:
The relative orientation of the coils does NOT put the coils output out of phase with each other, as it appears to when first analyzing these pickups; but should put them IN phase in a humbucking orientation. One coil being upside down and rotated 180 degrees from each other has the same effect upon the pickups magnetic field as magnets being opposite polarity for each coil in more common humbucking pickups; But voila, we get humbucking here once each coil's leads is reversed to put signal back in phase with the other coil. There might be other design engineering reasons for this orientation, such as tone nuances in the polarity orientation of start / stop end wires and coil winding dirctions, especially in humbucking pickups. However, it was common but mistaken thinking even among guitar technicians until relatively recently, ...for them to think that a pair of humbucking coils had to be reverse wound from each other ......although that is not true, when all that is required of the coils is that they be wired into the circuit opposite of each other to put opposite magnetic pole polarities back in phase with each other. The reverse wound coil idea and mistaken thinking probably originated by the old original designers' knowledge of tone nuances in winding the coils opoposite (start / stop wire-end polarity) in humbucking arrangements. The in / out of phase wiring polarities of the leads into the circuit for humbucking is a no-brainer ......only the coil winding direction reasons have been mistaken by many. Or even for single coil pickups the winding direction for some particular guitars, and wiring polarity of start / stop leads, subtly effects the tone character of the pickup, ....although such coil polarity tone nuances are spokem much more of, by knowledgeable technicians, relative to humbucking pickups.