How can I work the lock?

Hint 1 of 10:

The transporter is operated by that panel on the wall.

Hint 2 of 10:

It seems to be a square, surrounded by nine symbols.

Hint 3 of 10:

Have you been to the Dome building yet?

Hint 4 of 10:

The Dome building will help you know your numbers.

Hint 5 of 10:

The number 15 surrounds the puzzle.

Hint 6 of 10:

It works like magic.

Hint 7 of 10:

You must make the numbers total 15 in every direction.

Hint 8 of 10:

There is a hint on the opposite wall.