Looks like your main laptop input is a semi proprietary 6mm dc socket.
"ø6.0, 240W AC Adapter, Output: 20V DC, 12A, 240W, Input: 100~240C AC 50/60Hz universal"
Just get a cigarette plug in adapter that has a type c socket on it that can do 100 watt so that the power draw doesn't go over 100...