Cook 153*, Stokes 101, Root 84
Stokes hits 85-ball ton, fastest at Lord's
First innings: Eng 389; NZ 523
First Test, day four, Lord's
NickP: Trent Boult is a dead ringer for British actor Nicholas Hoult.
Can anyone better that lookalike from this game? Send them in... Tweet using #bbccricket, email tms@bbc.co.uk or text 81111.
Image source, Getty ImagesCharlize Theron and Nicholas Hoult
Kevin Howells
BBC Radio 5 live sports extra at Taunton
On speculation Yorkshire coach Jason Gillespie will be appointed England coach: "Plenty of chatter - and it is nothing more than that at the moment - that it could be wrapped up by the end of the week."
Stephan Shemilt
BBC Sport at Lord's
"Yorkshire are making plans for the possible departure of Jason Gillespie to become England coach.
"Former Australia fast bowler Gillespie has met twice with England cricket director Andrew Strauss and is understood to be ready to accept the job if he is offered it by the England and Wales Cricket Board.
"If Gillespie leaves Headingley, the county champions are likely to put director of cricket Martyn Moxon in charge for the rest of the season, with and a permanent replacement appointed in the winter."
Image source, Getty ImagesMartyn Moxon and Jason Gillespie with the 2014 County Championship trophy
Geoffrey Boycott
Ex-England batsman on BBC Test Match Special
"Not to be left out here's my picture with the lovely Joanna Lumley when she joined us in the @bbctms box yesterday."
Image source, @GeoffreyBoycottAnyone else think these two would make a good addition to the next series of Gogglebox?
Jeremy Coney
Ex-New Zealand captain on BBC Test Match Special
"A session of two parts; New Zealand really demanding in that first hour, very good swing bowling, full, Bell found out early. England had to work really hard to stay only three wickets down but were able to develop their game and Root and Cook have seen out the second hour particularly well."
England 175-3 (54 overs) - lead by 41 runs
Batsmen: Cook 69*, Root 58*
Fall of wickets: 14-1 (Lyth 12), 25-2 (Ballance 0), 74-3 (Bell 29)
Bowling figures: Boult 16-5-33-1, Southee 15-2-50-2, Henry 14-2-47-0, Craig 7-0-31-0, Anderson 2-0-8-0
First innings: England 389; NZ 523
James Clarke: Re Jack (1159), Cook & Root cashing in for their patience, resolve and solid defence whilst in 'ultra defensive mode' earlier.
Sam Hollis: Root would swagger into any team in the world at the moment, that's how good he is.
And that is lunch. Boult is unable to make the breakthrough before the break. After a horrible start, England have rallied superbly. Cook and Root consolidated before counter-attacking to move past New Zealand's first-innings total and take a 41-run lead.
It restores hope for the home side but there is a long way still to go.
Stephan Shemilt
BBC Sport at Lord's
"On the review, it took Rod Tucker a long time to decide there was no bat, but seconds to see that the impact wasn't enough to overturn the decision. Root's fate was always most likely to hinge on the ball-tracker, so why not do that first? Would have saved time."
It looked high at full speed. It still looks high on replays. And it is indeed too high to overturn the umpire's on-field decision. Not out.
Jeremy Coney
Ex-New Zealand captain on BBC Test Match Special
"They are discussing if it got a nick from the bat but that shouldn't matter. It has nearly hit him on the neck!"
Boult delivers the last over before lunch. He starts over and gets little joy from Root, but switches to around the wicket and sparks a review to an lbw call that catches the England batsman high on his pad as he goes back and is turned down on-field.
Charlotte Austin: Joe Root can change gear so easily. He can just read the game and conditions superbly.
Howard Horner: These two have played wonderfully. Defended and left so well, NZ are now trying to bowl magic balls and it's not happening.
Jeremy Coney
Ex-New Zealand captain on BBC Test Match Special
"These two batsmen have subdued the attack. It is not the same Boult, not the same snap we saw at the start of the day. England are starting to get a measure of control but they have to be careful."
Root is giving Craig no room for error. Every loose ball now is getting punished. The spinner drops short and the Yorkshireman rocks back and pulls to backward square-leg for four. Another single brings up the 100 partnership, with the second 50 coming from just 53 balls. Anyone on Twitter want to complain about how slow England are going?
Image source, PATim in Sheffield: The key thing is to make sure we're far enough ahead come the second new ball.
Simon Reynolds: Seems no coincidence that since Root has come to the crease, Cook has looked more comfortable. Root seems to get the best out of his partners. He truly is class, surely a future captain.
Image source, Getty ImagesBoult is back, looking to reverse the momentum that is starting to shift away from New Zealand. He doesn't possess the same zip he had earlier, though, and has to rely on disciplined consistency. He finds it and Cook pats him back for a maiden.
Andrew Samson
BBC Test Match Special statistician
"In his Test matches at Lord's, Root has now got to 50 six times in his 10 innings."
Image source, PARoot was firmly in first gear for his first 10 overs. He is now accelerating and slipping into third. Craig over-pitches and Root picks up a couple of boundaries with well-timed sweeps - one a slog-sweep over mid-wicket, the other a more delicate dabble finer. That's right Joe, get your bat up. You've earned it son. He has now passed 50 in seven of his last nine innings.
Image source, PA
Image source, @BBCTMSTest Match Special:, external The view from the TMS box as @Aggerscricket and @MichaelVaughan watch Cook and Root battle through morning session.