The high beam indicator is bright to the point that I won't use the high beams unless I really want to. I've had the same problem on a few Honda bikes I've owned. On my current bike I solved the problem but removing the dash plate and putting some cotton pulled from the end of a Q-tip between the bulb and the lens. This would be a much more complicated process on the Z - I doubt I'll tackle it unless I have some other reason to get inside the dash.