Let M be an excluded minor for the class of $\mathbb{P}$-representable matroids for some partial field $\mathbb{P}$, let N be a 3-connected strong $\mathbb{P}$-stabilizer that is non-binary, and suppose M has a pair of elements $\{a,b\}$ such that $M﹨a,b$ is 3-connected with an N-minor. Suppose also that $|E(M)|\ge |E(N)|+11$ and $M﹨a,b$ is not N-fragile. In the prequel to this paper, we proved that $M﹨a,b$ is at most five elements away from an N-fragile minor. An element e in a matroid $M^{\prime }$ is N-essential if neither $M^{\prime }/e$ nor $M^{\prime }﹨e$ has an N-minor. In this paper, we prove that, under mild assumptions, $M﹨a,b$ is one element away from a minor having at least $r(M)-2$ elements that are N-essential.

设M为该类别的排除未成年人$\mathbb{磷}$- 某些部分场的可表示拟阵$\mathbb{磷}$，令N为 3 连通强$\mathbb{磷}$-非二元稳定器，假设M有一对元素$\{A,乙\}$这样$\mathrm{中号}﹨A,乙$是 3 与N小调相连。还假设$|乙（\mathrm{中号}）|\ge |乙（氮）|+11$和$\mathrm{中号}﹨A,乙$不是N-脆弱的。在本文的前传中，我们证明了$\mathrm{中号}﹨A,乙$距N脆弱小数最多五个元素。拟阵中的元素e${\mathrm{中号}}^{\prime }$是N-必需的，如果两者都不是${\mathrm{中号}}^{\prime }/e$也不${\mathrm{中号}}^{\prime }﹨e$有N小调。在本文中，我们证明，在温和的假设下，$\mathrm{中号}﹨A,乙$距离未成年人至少有一个元素$r（\mathrm{中号}）-2$N必需的元素。