Magic Jar and AntiMagic Field

So if I'm using the spell Magic Jar and my gem is caught in an antimagic field or similar, does that negate the negate? Would I die? If I'm possessing someone and the gem is caught, am I sent back or killed? For that matter, if my possessed body is caught in it, will I die or be sent back to the jar?

I would rule that both body and gem must be within range. If not, you would die

I would treat it as though the spell had ended, with all the consequences of what normally happens.

If the gem/jar is within an anti-magic AOE, it is suppressed, there would be no transferring into or out of the gem/jar. I think that would also apply to the caster's body and any possessed bodies.

While within the gem/jar you would not be able to sense anything either.

If the spell ends while some part of those affected are within the AOE of the anti-magic, I think they would be stuck wherever they are, but could return when the anti-magic ends.