How can I gain Liryl's trust?

Hint 1 of 12:

In the central room, try to use the lift in the center.

Hint 2 of 12:

Liryl won't allow this until she trusts you.

Hint 3 of 12:

You might try some gifts.

Hint 4 of 12:

Seashells from the beach are nice.

Hint 5 of 12:

Assorted mechanical parts will please her too.

Hint 6 of 12:

You can also get shells from Professor Krick's bookcase.

Hint 7 of 12:

Try exploring behind the console in the room.

Hint 8 of 12:

You can move the disk on the rails left and right.

Hint 9 of 12:

You can also move it up and down.