The Kiwis snatched victory from the jaws of defeat.
The match is hanging in the balance at the moment.
Williamson's stint will end after the game against Somerset.
Joe Root will have to lead from the front to avert yet another series loss for England.
England was bowled out for a paltry 58 runs in the 22nd over.
The southpaw has been known for his Test cricket prowess.
Jeet Raval has cemented his spot at the top of the order in the longest format of the game but now he wants to do the same in limited overs.
Santner, de Grandhomme along with Raval, Chase, Dowrich, Gabriel and Cummins also gain in rankings.
New Zealand ended the day on 286/7.
Raval and de Grandhomme scored half-centuries but none of them went on to play a big innings.