This nugget, as a popular Tamriel sage likes to say, was found in a recent posting I came across. It is worth sharing with novice Alchemists.
A research paper by Royal Kitsune outlines an efficient way to learn the alchemical properties of the all the known reagents and suggested reagents combinations to minimize the use of more popular reagents needed for triple attribute potions.
I have verified the list on a new alchemist. This document expands on the original post by identifies the varies traits learned, corrects some spelling mistakes, and added one missing reagent combination for Columbine.