I hope this doesn't confuse matters, but this is what the back print can look like from a film scanned and printed on a Fuji Frontier. (the software can be configured to show different info).
View attachment 289385
A quick explanation is the machine made a correction of -1cyan and -1 yellow (which would be the equivalent to +1magenta but with a density difference) and +3 density. There was no manual colour or density correction.
This information is important if a remake of the print is required due to colour or density failure.