To obtain a Writ, the applicant must complete a Petition for. How Do I Fill Out the Form?There is an official form (Judicial Council Form HC-001) for filing a state petition for writ of habeas corpus. This petition must be clearly handwritten in ink or typed. You should exercise care to make sure all answers are true and correct. Petition for Writ of Habeas Corpus. Appendix B: Petition for Writ of Habeas Corpus, Collings v. The Appeals Bureau is responsible for handling all appeals and motion practice in the Appellate Division, the Appellate Term, and the New York Court of Appeals. Complete Approved Forms. To obtain a Writ, the applicant must complete a Petition for.