Air China has a $96 base fare for LAX to Auckland, New Zealand AKL. Ticket prices on Air China website are $572 round trip for limited September dates.
I see more availability and ticket prices under $600 round trip through online travel agency websites found through Momondo.com.
These ticket prices do not show up on Google Flights search.
Air China website $572.23 round trip
Tue Sep 5 – Tue Sep 12
Los Angeles LAX – Beijing PEK – Auckland AKL – PEK – LAX
Long 6-hour layovers in Beijing are not long enough for a hotel.
Travelgenio.com OTA ticket
$591.10 round trip
Air China LAX-PEK-AKL-PEK-LAX
Thu Sep 14 – Thu Sep 28
The $561 price shown on Momondo went up to $591 round trip on TravelGenio.com.