Alright! Point taken! The chart is less daunting than I thought. You mind loosening your grip on my, um, neck? ;-)

I would also suggest that the seeming randomness is a sign you're getting closer to the genuinely fundamental stuff: The order in the periodic table is due to (using loose language) repeated interactions of only a few underlying rules ...

An especially good point -- maximally compressed data looks like random noise, so at the fundamental level, there should be no regularity left that allows one entry to tell you something about another.