(randLine,subsLine) = randomLineTorsZ3(d1',relPfaf)
The order of the torsion group does only depend on the choice of the line in the complete intersection of the quadratic relations $Q$ in $\mathbb{P}^{11}$. A numerical Godeaux surface $X$ with torsion group $\mathbb{Z}/3$ has a special reducible bicanonical curve of the form $D_1+D_2$, where $D_i \in |K_x + t_i|$ with a torsion element $t_i$ of order $i$. To construct a surface with such a curve, the associated line $l$ must intersect a particular loci in $Q$ in exactly one point.
The object randomLineTorsZ3 is a method function with options.