In the meantime, I went online to register the beast. This, of course, required the serial number for the washer which was not on the invoice. But it's ok, it was easily visible when you lifted the lid.
In little tiny print.
On the back side of the inside of the lid.
At a lousy angle.
So I pulled out my smartphone, started up the camera, turned on the flash function (I usually shoot by available light), zoomed in, and took a picture of the serial number.
There. That's much easier to read...