The exact 3-cube densities of W_7, W_8, W_9, W_10, and W_12

Let $W_7,W_8,W_9,W_{10}$, and $W_{12}$ be the configurations in $Q_3$ listed in Table, and let their lower bounds there be the corresponding values of their 3-cube densities. The exact-density conjecture. These lower bounds are the exact 3-cube densities for $W_7,W_8,W_9,W_{10}$, and $W_{12}$. Baber's flag algebra upper bounds are within $10^{-9}$ of the lower bounds for all five configurations, motivating the conjecture that equality holds in each case.