England dismissed New Zealand for 207 before lunch on the third day, a modest first innings lead of 25 runs.
At lunch, England were 12 without loss in their second innings -- a lead of 37 -- after captain Alastair Cook, then on nought, had survived an appeal for caught behind off Trent Boult that third umpire Marais Erasmus studied for several minutes following a New Zealand review.
Cook was five not out and Nick Compton seven not out, with England looking to improve on their first innings 232 in this opening match of a two-Test series.
It was the 30-year-old Lancashire swing bowler's 13th five-wicket or better innings return in an 81 Test-career that started at Lord's a decade ago.
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Having taken three wickets on yesterday, including that of New Zealand top scorer Ross Taylor (66), Anderson returned Saturday figures of two for 15 in nine overs.
He was well supported by fast bowler Steven Finn, whose four for 63 on his Middlesex home ground, featured Saturday figures of three for 21 in four overs.