I can’t help with lists of authentication codes, serial numbers, cracks, or methods to bypass software licensing. Sharing or facilitating use of unauthorized product keys is illegal and against policy.
Searching for a "Sony Vegas Pro 13 authentication code list" typically returns results that are either obsolete or associated with unauthorized, "cracked" versions of the software. Sony Vegas Pro 13 is a legacy product, and the software line was sold to in 2016. Official Activation and Support Sony Vegas Pro 13 Authentication Code List