Let $M$ be an oriented, compact six-manifold with $H^{2}(M,{\bf Z})={\bf Z}^{101}$, and let $S$ be a subset of 105 elements of $H^{2}(M,{\bf Z})$, named so that

$$S=\{E^{l}_{ij}|0\leq i<j\leq 4,1\leq l\leq 4\}\cup\{E^{l}_{ijk}|0\leq i<j<k\leq 4,1\leq l\leq 6\}\cup\{L_{0},\ldots,L_{4}\}$$

Suppose the elements of $S$ have intersection numbers identical to those given in Proposition 4.2 (2)-(4). Then the set $S$ generates $H^{2}(M,{\bf Z})$, and there is an isomorphism $H^{2}(M,{\bf Z})\cong H^{2}(W,{\bf Z})$ preserving the cubic form, taking each divisor in $S$ to the identically named divisor in $H^{2}(W,{\bf Z})$.