Parking ticket Appeal

So today I came in and parked as usual for my 9:30 class. Problem is that I came in little early and enter and payed at the central parking plaza at 9:15. My last class ends at 11:20 and I decided that paying for one extra hour doesn’t make sense for a minuscule 5-10 minute late return. I came back to leave at 11:23 and found a parking violation issued at at 11:21 for $47.

Now I know that I was technically parked illegally at 11:21 but a parking ticket 6 minutes after expiration seems like a stretch to me. Should I appeal the ticket and just swallow my pride and pay up.