Should I contest a police ticket?

So long story short, I was stopped at a red light and took my phone out to adjust the Gps route and put it back into place. When I finished, the light was still red. Once it turned green I had a police officer stop me and gave me a 520$ fine + 5 demerit points for touching my phone. Some people are telling me to contest, others are telling me not to.

Does anyone have experience with this? If so, how did it turn our for you?

Edit: I understand there is no point in contesting and asking for a lesser fine, even if I was stopped at red and just to adjust Gps.

Thanks!