OK so ... the reason our basses have such a gigantic wide-open sound is because they've got these big hand-made single-coil pickups. The problem with a big single-coil pickup is that it doesn't only hear the string vibrating in its magnetic field, it also hears any electrical interference being broadcast by various nearby equipment, or even just unshielded AC cables.
So Alembic founder Ron Wickersham (Mica's dad) devised an amazing way to deal with this issue by having the two pickups share one hum-bucking coil. That's the black piece between your pickups. This coil is essentially the same winding as a pickup but it has no magnet. The result is that it does NOT hear the string vibrating in front of it but does hear all the electrical hash being transmitted by nearby equipment. (Neon signs are among the worst offenders - essentially high voltage buzz transmitters.)
So the two
"hum balance control" trimpots on the rear panel allow you to
mostly cancel the interference that the pickups are hearing. The official description of how to tweak these is here:
https://club.alembic.com/index.php?topic=269.0Because these coils are not exactly in the same position and not "stacked" like standard humbucker pickups, they can sometimes hear interference at a slightly different "time" or phase. So the cancellation of this noise was not always perfect. I've been playing these basses since the mid-70s so I recall having to deal with this "un-rejected" hum and noise in various locations. Certain clubs and even one Hollywood recording studio I found to be very problematic. In those situations I'd gotten used to rotating the bass to find the quietest position and trying to stay pointed that direction whenever the music got quiet.
In recent years our chief Wizard Ron devised a modification which can be done to our instruments to further reject noise. But it is an arduous (and costly) job which must be done to the instrument onsite at Alembic HQ. As you can imagine there's quite a backlog of service requests for this mod.
So again, before you jump into trying to get work done on your bass, get those output levels under control, go through the hum balance procedure, find the quietest direction to point the headstock, etc... See if you can get the BIG BASS sound, the hum and the noise all under control.
Oh and here is a good description of the front panel "Q-switches" so you understand what they do:
https://club.alembic.com/index.php?topic=271.0Keep the questions coming and you'll soon be explaining this all to the next new owner!
Jimmy J