I spent 30 years working for a city engineering department and I can tell you that magnets will do nothing to trigger induction loops buried in the pavement. Our maintenance crews used to check for the operation of these loops by tossing a shovel on top of the loop. The detect metal, not a magnetic field. If you want these loops to detect your Zero, you will either have to attach a steel shovel under your belly pan or ask the parking garage manager to have a technician adjust the sensitivity of the loops so that it will detect your bike (good luck with that).
Interestingly, the California DOT used to require new traffic signal installations to be able to detect Honda 50 step-though type motorcycles before they would be accepted by the State. However, now I believe that they must be able to detect a bicycle waiting at the stoplight. So expensive, computerized, adjustable, Department of Transportation-regulated traffic signal installations can be designed to detect just about anything with metal in it, but that may not be true for cheap parking garage detectors. Can you wiggle past the gate arm?