The most common cause of Panasonic Rear Projection LCD TVs not starting is bulb failure. The PT-60LC13 users manual gives some help in translating the LEDs on the front of the TV.
If the TV worked normally for a period of time (months or years) and won't start, the most likely cause is bulb failure. There is no way to measure the bulb, sometimes the bulb is visibly damaged when it fails. Remove the Lamp Assembly and look at the bulb.
If there was an On-Screen Lamp Replace warning and TV won't start, bulb has failed.
The first step with all Panasonic Rear Projection TV "No Picture" problems is bulb replacement. If that does not remedy the problem, get a technician, there are no user serviceable parts. Guessing if the ballast, power supply, controller board or optical engine is faulty is not practical.
The Panasonic Lamp Gallery
shows all Panasonic models and Lamp Numbers. There is also a link to Panasonic DIY bulb and lamp replacement.easyab