OK got two Advance 71A5770 ballasts from ebay ($50 shipped).
Please take a look at my wiring.
The ballast came with three prewired wires on coil and one prewired wire on capacitor. Wires labeled "Wire label" are prewired.
Here is how I plan to wire:
Hook up the negative to one of the "COM" on the ballast.
Hook up the other COM to the negative on mogul socket.
Hook up the positive to the 120 V prong on the ballast.
Hook up the wire labeled CAP to the empty capacitor prong.
Hook up the wire labeled LAMP to the positive on mogul socket.
If anyone has a 250 Watt mogul socket (M58) bulb, that they plan on throwing it away please ship it to me (I would be more than happy to pay for shipping and handling).
I do not want to hook up brand new $70 bulb until I can confirm that it is working. I will also check Home Depot if they have any cheap MH bulb for testing purposes.