Corolla TTE Supercharger pulley/ wiring diagram

[SK_tte]

Hi, I need some help please. 

I have recently purchased a Corolla Compressor however it seems to be missing something from the air box. 

Carrying out further investigation I found a connector (brown) from a loom which isn’t connected to anything.... the last thing found is a wire which when I trace back leads to the compressor power loom. So I think that’s the power for the magnetic clutch.

So ideally I’m looking for someone with the same car to help me out but looking to see what I’m missing. 

The cars okay with no lights on dash. 

 

Thanks