Dashboard Display don't work

Hello.
I have a 2011 Prius 3, with 500.000km.

My Display don't work. When i press the ignition button, the Dashboard display is dark and no beep sound appears. (lights on, doors open).

My 12V Battery is new.
When its over 20°C, the display works, on cold days, it is completely dark. Sometimes, when i have drive over 50km and the car is warm, the display start up and the Prius logo appears.

What i have checked:
-12V Battery
-solder joints on the display
-everything re-soldered
-Pin 1 and 3 on the big connector have 12V (have someone a current circuit plan?)
-the capacitors dont have voltage applied
-I have a Laboratory power supply. I put on pin 1 and 3 voltage, but nothing happened


Can someone help me?