I see according to your sig, that you also have 3M Crystalline window tint. I did not like the look of that on mine on my rear window, especially on black. The Crystalline tint looks purple on the rear window. As I've seen others with Crystalline also showing looking 'purple' (due to some sort of reaction between the film and some coating finish Tesla is putting on the rear windows), I'm guessing yours has the same effect. I just had the Crystalline on my rear window replaced Friday with Madico Charcool 20%, and finally it looks so much better. I don't know how you feel about it, but if you have this same effect and it's bothering you on the look of your car, I highly recommend switching to a different tint to fix this.
I've noted in the past about how mine looks purple here in some comparison shots. You can easily see the rear window shots look purple on mine.
Model S - Window Tinting - Page 39
And here are some before and after shots with the new tint. Madico Charcool 20% on my rear window. Finally looks awesome and no more purple effect:
Model S - Window Tinting - Page 52