This table is invisible to Franz, but you are free to use this table however you see fit. Fanz won't know the difference.
The official way to access the Wild-Magic table in Season unending is to take the @Mad-Mage origin feat or @Mania-Touched general feat.
The typical rules are as follows: Whenever you cast a spell, roll a D20. On a critical fail (Rolling a 1), you then a wild-magic surge occurs and you can roll on the wild-magic table. When rolling on this wild-magic table, first roll another D20 to determine the vertical row that you will be looking at for your D100 roll. the D100 roll then determines the effect that occurs.
Optionally, you can increase the likelihood of a wild-magic surge by subtracting the level of the spell cast from your first D20 roll, and a result of 1 or less, a wild-magic surge occurs. In that case, Let's say you cast a 7th level spell, you roll 1D20, get a result of 8. therefore 8-7=1 so a surge would happen.