I’m reasonably sure it’d be a list of numbers that just translate.actual die rolls to a new set.

123456 416352

Roll a natural 6 on a d6, look at that simple table, you got a 2. Roll a natural 3, get a 6.

Ratcheting the table would be moving a row, so ratcheting this table by 1 would make it

123456 163524

So now you have a new arrangement.