That's one of the reasons I like Burris Signature Zee rings.
Let's see....since you have the rings already, do any of these ideas help:
1. swapping the front and rear ring?
2. Trying each ring separately (or both together) 180 degrees out?
3. loosely fasten them to the rifle, then tighten them to the lapping bar, then finally do the final tightening to the receiver?
Those are my thoughts.
The thing to remember is that even with the pointed tips exactly touching, you don't know if the two rods are truly in line.
You can determine this by reversing the alignment rods and seeing if the butt ends match up exactly, or have a wider gap on the top or bottom or one side.
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