[Exim] Check if new IP block is already in any RBL?

Dear List:

Does anyone know how to check a newly assigned block of IP addresses, to see
if any of them are in any RBLs, due to problems left over from some previous
assignee of said IP addresses?

I have a "permanently" assigned /29 from my ISP, and I discovered yesterday
that one of those IPs was listed with relays.ordb.org. No big deal, ordb.org
provides a clean way of determining how & when & by whose request the IP got
listed, and a simple method of getting it removed. But how do I find out what
OTHER lists that IP might still be listed in?

ordb.org also provided a nice little button to check "3rd party lists" and it
came up clean, but does that cover all the RBLs I might need to worry about?

TIA

Jim Roberts
Punster Productions, Inc.