Actually, I think there is a small bug in the math. The additive factors are being multiplied by each other instead of adding on. For example, the Total Research Capacity is 1020 which is the number of labs you built. The Research Potential is 993=691x1.25x1.15. I would think the Research Potential would be 972=(691)+(0.25x691)+(0.15x691). This same potential small bug of multiplying additive factors instead of adding is duplicated in the other additive factors. Here is the math for all three ACTUAL OUTPUTS:
All the labs you built 1020 (380+260+380)
TOTAL RESEARCH CAPABILITY 993 (691x1.25x1.15).
Weapons 570 (993x380/1020)(1.1x1.4)
Energy 253 (993x260/1020)
High Tech 496 (993x380/1020)(1.34)
If you get past the math, here it is in regular words.., the number of labs you should build [Total Research Capacity] should ALWAYS equal or exceed your Total Empire Research Capacity multiplied by all of you Empire factors that are in GREEN BOLD type. The bonuses in tiny print below the GREEN BOLD ones are tacked on in calculating the pink line (Actual Output).
So as you can see, the GREEN BOLD (Gov’t and Race) have an enormous impact on Research, and Research is an ENORMOUS factor in Legends. So if you find you are kicking the AI’s butt all over the place in Research, well, select a dumber race with a nonResearch friendly government. As you know, this means the “warrior type civs” are better suited as your civ to give the AI yet another chance to beat you.