Brathwaite - who begun Monday on 79 - misjudged the pace of Santner's delivery to be trapped lbw in the 80th over following a successful review after New Zealand's appeals were initially turned down - falling nine runs short of a century.
The West Indies resumed yesterday at 214 for two in their second innings, looking to knock off their 386-run deficit with minimal damage.
Black Caps bowler Tim Southee will rejoin New Zealand squad for the second cricket Test against the West Indies in Hamilton. But the resistance ended with the loss of Kraigg Brathwaite for 91 inside the first hour as three wickets fell before lunch.
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Southee, who replaces George Worker in the squad, missed the first Test following the birth of his first child.
Final scores in the match: West Indies 134 & 319; New Zealand 520-9.
Captain Kane Williamson described Blundell as brilliant in his debut.
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On 273 for five, debutant Sunil Ambris (18) and wicketkeeper Shane Dowrich (3) steered West Indies to lunch on 286 without further loss, but the innings quickly unraveled thereafter.
The second test starts Saturday in Hamilton.
The end came swiftly for the Windies as Kemar Roach was hit plumb in front by de Grandhomme for seven, captain Jason Holder (7) miscued a pull at Wagner and was taken at square leg and Miguel Cummins was bowled by Boult for 14.
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