What is the peak draw on the amp? 39A is continual, right? If you have at least 10% headroom from the peak draw (using the chart above), you should be good. Just use QUALITY wire & terminations.
In the owner's manual, it says max is 1,000W at 4 ohms. 12v*83A = 1,000W. So your wire should handle 100A load to be safe & with good sound, from my understanding. If I am correct, you would need at least 4 gauge wiring.