Prestige APS997, 01 Hyundai Tiburon

Hey. Im installing a presteige alarm and im having trouble understanding how to work the hood trigger wire. I attahced 2 images out of the manual. Theres 2 ways to hook up the trigger as fas I can tell. I have it hooked up the 1st way, but only using the alarm instant trigger wire from the alarm module, i cant figure out where or what the negative shut down wire is? Can someone help?

If you have a delayed dome light in the car(one that stays on for a period of time after the last door is closed) what will happen is it will chirp 3 times when you arm it, then chirp once after the light goes out. If this is what is happening you will need to program the delay. You do this by simply pressing arm/disarm/arm/disarm/arm/disarm while the door is open. The LED will light solid(no flashing), then shut the door and wait. Once the light goes out it will usually chirp once to let you know it programmed(but not always). Open and close the door and try arming it. You should now get one chirp.

Nope that aint it, the car doest have a delayed dome light. When I arm it, it does show that the door is open. I currently have it hooked up directly to the trigger on the driver side door only and it works fine. But I would like it on both doors without having to run a 2nd wire to the passenger door trigger.

Is it possible it is a (+) connection, even tho it is saying its a (-) according to the wiring diagram I have. Which is telling me

I hook it up to that with the Brown wire from the module which is Door Trigger ( - ). And thats my problem?