Consider 2,8-dimethyl,5-propylnonane (Figure ), whose conformational potential energy is represented by five 1-3-2-1 building blocks and three 1-2-2-1 building blocks. The 8dimensional configurational PEL consists of nearly 840,000 critical points: 0.8% each of dimensions zero and seven, 5.5% each of dimensions one and six, 16.4% each of dimensions two and five, and 27.3% each of dimensions three and four. There is only one topological feature of dimension eight. Contained in Figure is the distribution of the death vs. birth times of different dimensional features. In analyzing the births of the zero-dimensional components, there are 32 degenerate global minima that all share the conformational attributes of having the three 1-2-2-1 building block functions in their global minima (the 1-2-2-1 dihedral type is at 180 • ), and having the five 1-3-2-1 dihedral types be in either of their degenerate global minima (at 120 • or 240 • ). Focusing upon the 0dimensional features of the sublevelset persistent homology, and the associated index 1 critical points that connect them, we observe that all barriers from the global minima are 2.75 kcal/mol higher in energy (the length of the bars that are all born from these lowest energy features). The nearest local minima (186 of them, which derive from configurations that are at the global minimum of the building block functions except for one being at a local minimum), occur at 0.9 kcal/mol; these are followed closely by another 75 local minima at 1.2 kcal/mol. In total, there are c.a. 1,200 local minima prior to the first set of index 1 critical points that begin to connect the global minima on the PEL.