There is an useful script for QuickBMS that allows to perform a full CRC calculation/scanning.
It's very useful if you have an unknown crc and you would like to know on what data it's calculated or, moreover, what polynomial and other settings are used.
I have updated it just today, I added only the "reversed" visualization of the CRC so that you don't need to search your value two times in case it's displayed with a different endianess. This is the only thing I updated.
Just dump one of the strings as file and use crc_scan.bms on it. Once you have found the correct algorithm and settings, you can work on other solutions (it depends by what you want to do).