Cancel magnetic field in one current carring wire

Can anyone suggest the best way to shape a single wire carring a
current so that it's magnetic field cancels itself out? Completely if
possible. I'm trying to optimize the idea for light weight and varying
current values. All I can think of would be to bunch the wire into a
tight zig-zag plane. (From:---------- To:||||||||) Would that work? Or
would it produce the same field...and just be heavy? Any help would be
great, thanks.

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