Forensic tests are continuing in Papakura at the home of a woman who was found dead on Monday.
Leanne Kingston, 39, a triplet and the mother of four children, was found dead by one of her sisters, who became concerned when Ms Kingston did not pick up some of the children from school on Monday afternoon.
Detective Inspector Mark Gutry says police are following strong leads and are confident they will get results.
Neighbours are being interviewed to track activity in the street and the movements of Ms Kingston before her death.
A post-mortem will be held on Wednesday.