You may need to either write the Magistrate a letter requesting an order to that effect (make sure to copy the other side with the letter), or file a motion to restore the case to the calendar for purposes of entering an order. In any event, to the degree you have further questions, I encourage you to schedule a follow-up consultation with a NYC Child Support lawyer.
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Order a transcript of the hearing (if you can) and retain an attorney to file a Motion to Restore to Calendar. There you can request that the judge/magistrate reduce the terms of his/her decision to a written Order.