Final answer:
The material does not specify the exact number of days after a petition is filed that pre-election hearings take place. The process is influenced by state-specific laws, indicating a need to consult local regulations for precise timings.
Step-by-step explanation:
The specific number of days after a petition is filed for pre-election hearings to take place is not provided in the provided reference material.
The process of petitioning to get on the ballot is emphasized as a critical component of any campaign, with Costa Constantinides characterizing it as essential during his 2013 campaign for New York City Council.
The text reflects multiple steps and considerations in the election process, such as the need to adhere to state-imposed deadlines for signature collection and voter registration, in addition to discussions regarding the private conference of justices.
While this information is relevant to understanding the broader context of the electoral and judicial processes, it does not directly answer the question regarding the exact number of days after a petition filing that a pre-election hearing occurs.
As such, specific state laws or regulations should be consulted to determine the exact timeframe for pre-election hearings in any given jurisdiction.