You know I've never seen a source that says Magic Crests are made from circuits.
The closest thing is this
And with the stuff from Case Files being the core of a crest is phantasmal species body parts and mystic codes I'm starting to think that its just not made of magic circuits.But the Magic Crest will not show up unless it is in use.
The Magic Crest is like a separate Magic Circuit that is formed using the magical energy of the magus.
Since the JP wikia doesn't say anything about it being made from circuits but the english wikia does.