England were finally dismissed for 476, with Root scoring 226 of these and New Zealand began their reply 101 runs in arrears.
After the righteous efforts of Root and Pope saved New Zealand at bay for better than 62 overs, the final five England wickets fell for 21 runs in the condominium of six overs.
A push into the offside and a hurried single ushered Root to the third double ton of his Test career - but only after Henry Nicholls had missed a shy at the stumps which would have run out Pope, scrambling to the striker's end.
If Raval is feeling the strain of his trot with an away assortment against Australia looming, he need most productive perceive at the England captain's properly timed double century to scrutinize fortunes can replace.More news: Cardi B Addresses Offset's Alleged DM, Says He Was Hacked
Talking about the innings, England lost momentum early on in the innings as they were reduced to 24/2 in response to New Zealand's first innings total of 375.
England's Joe Root acknowledges the applause after his double century in Hamilton.
Root, by this stage past 150, was more proactive against Mitch Santner and swept the slow left armer for four to take the union between the England captain and Pope into three figures, while the junior partner's cut off Daryl Mitchell gave England a slender lead at lunch.
The stand between Pope and Root fetched a significant 193 runs. Pope joined in by flat-batting Wagner down the ground for four but just as they were starting to motor, the partnership was broken.
He eventually was caught in the deep for 226 as he tried to increase the scoring rate before tea, falling four balls after Pope had been caught attempting to do the same thing.More news: The Engadget Podcast: Do you need Apple's AirPods Pro?
There was just time for England to take the lead after 100, thanks to a monster hit from Jofra Archer, before Wagner packed up the innings and completed his five-for with the wickets of Chris Woakes, Archer and Stuart Broad just before tea. Sam Curran trapped Jeet Raval for a two-ball duck to strike first blood. Bizarrely, the under-pressure opener chose not to review despite HotSpot showing a clear inside edge.
Another wicket was not forthcoming though as Williamson and Taylor steadied New Zealand and gradually chipped away at the deficit.
If England are able to win from this position it would echo Australia's incredible ambush against them in Adelaide in 2006/07, but stranger things have happened and it would do their confidence a world of good leading into the South Africa series.
Watch day five of the second Test between New Zealand and England from 9pm, Monday on Sky Sports Cricket.More news: Dwayne Johnson admits he was hesitant to get remarried
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