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There were 8040 new cases of Covid-19 reported last week with almost 5000 being reinfections, Te Whatu Ora says.
As of midnight on Sunday, 324 people were in hospital with the virus, six of them in intensive care.
The number of people who had already had Covid-19 before getting it again was 4992.
There were 77 new deaths attributable to Covid-19 reported this week.
The number included deaths that occurred between 23 December and 11 January.
These were unable to be attributed due to a break in cause of death coding over the holiday period, the ministry said in its weekly statement.
There were 6558 new cases reported in the week leading up to 8 January and of them, 3999 were reinfections.
There were 355 people in hospital and six were in intensive care at midnight on 7 January.