Australia are seven wickets away from retaining the Trans-Tasman Trophy and winning the first Test against New Zealand, with Nathan Lyon at the centre of their toil.
Spinner Lyon made an innings-high 41 as the tourists slumped to 164 in their second dig; setting the Black Caps an improbable target of 369 for victory.
A session into their chase, New Zealand were 3-111 at stumps on day three, still 258 runs from a first home victory over their arch-rivals in 31 years.