\beta _{2}=\{y_{1},y_{2}\}$, $\alpha _{1}\cap \beta _{3}=\{u_{1},u_{2}\}$, $\alpha _{2}\cap \beta _{1}=\{a_{1},a_{2}\}$, $\alpha _{2}\cap \beta _{2}=\{b_{1},b_{2},\ldots ,b_{n}\}$, $\alpha _{2}\cap \beta _{3}=\{c_{1},c_{2}\}$, $\alpha _{3}\cap \beta _{1}=\{d_{1},d_{2}\}$, $\alpha _{3}\cap \beta _{2}=\{e_{1},e_{2}\}$, $\alpha _{3}\cap \beta _{3}=\{f_{1},f_{2}\}$.\
The chain complex $\widehat{CF}(Y)$ is generated by unordered triples $${\mathbb {T}}_{\alpha }\cap {\mathbb {T}}_{\beta }=\{\{x_{i},b_{j},f_{k}\},\{x_{i},c_{k},e_{l}\},\{y_{k},a_{l},f_{r}\},\{y_{k},c_{l},d_{r}\},\{u_{k},a_{l},e_{r}\},\{u_{k},b_{j},d_{l}\}\}$$ for $k,l,r\in \{1,2\}$ and $i=1,\ldots ,m$ and $j=1,\ldots n$.

The complement of the $\alpha $ and $\beta $ curves in the Heegaard diagram is a disjoint union of elementary domains. There are two regions in the diagram where a curve $\beta _{i}$ winds around a hole in the direction of $\mu _{i}$; we denote the elementary domains in the winding region of $\beta _{1}$ by $A_{1},\ldots ,A_{m-3}$ and the elementary domains in the winding region of $\beta _{2}$ by $B_{1},\ldots ,B_{n-3}$. The remaining elementary domains of the Heegaard diagram are denoted by $D_{1},\ldots ,D_{16}$. They consist of five hexagons $D_{1},D_{4},D_{8},D_{9}$ and $D_{16}$, one dodecagon $D_{5}$ and one bigon $D_{13}$; all the remaining elementary domains are rectangles. We put the basepoint $z$ of the Heegaard diagram into the elementary domain $D_{5}$. There is a single periodic domain in our diagram, bounded by the difference $\alpha _{3}-\beta _{3}$ of the two homologous curves, which is given 