of the chain complex $CF^{+}({Y_{m,n}})$. For every torsion $\sp $ structure $\mathfrak{s}\in \sp ({Y_{m,n}})$, we draw a schematic depicting the generators of $\widehat{CF}({Y_{m,n}},\mathfrak{s})$ vertically according to their relative Maslov grading. Then we list the nonnegative domains of Whitney disks with Maslov index 1 between the generators. If between two generators there is only one such domain of a disk which has a unique holomorphic representative, we denote it by an arrow in the schematic. When neccessary, we also list some domains of Whitney disks with negative coefficients. We denote the action of $\Lambda ^{*}(H_{1}({Y_{m,n}},{\mathbb {Z}})/\operatorname{Tors})$ by a dotted arrow in each schematic. Using this information we calculate the homology $HF^{+}({Y_{m,n}},\mathfrak{s})$.

When the first Betti number of a 3–manifold $Y$ is at most 2, the homology $HF^{\infty }(Y,\mathfrak{s})$ in a torsion $\sp $ structure $\mathfrak{s}$ is determined by the integral homology of $Y$ [@OS2 Theorem 10.1]. Since $H^{1}({Y_{m,n}};{\mathbb {Z}})\cong {\mathbb {Z}}$, it follows that for every torsion $\sp $ structure $\mathfrak{s}$, the homology $HF^{\infty }$ of our manifold is given by $$HF^{\infty }({Y_{m,n}},\mathfrak{s})\cong {\mathbb{F}}[U,U^{-1}]\otimes _{{\mathbb {Z}}}\Lambda ^{*}{\mathbb{F}}$$ and has two ${\mathbb{F}}[U,U^{-1}]$ summands.

**Classes with two generators** $$\xymatrix{ \{x_{r},b_{j},f_{2}\} \ar@{.>}[d]\\
\{x_{r},b_{j},f_{1}\}}$$

[1]{} & {-,-,f\_[2]{}}{-,-,f\_[1]{}}D\_[13]{}D\_[13]{}+\
& {-,-,f\_[1]{}}{-,-,f\_[2]{}}=D\_[1]{}+D\_[2]{}+D\_[5]{}+D\_[7]{}+D\_[8]{}+D\_[10]{}+D\_[13]{}+D\_[15]{}+\
& A\_ [1]{}+A\_[2]{}+…+ A\_[m-3]{} +

As 