For X=Bl_{B}_{}(P^{2}^{}XP^{2}) with B=P^{1}XP^{1 }the Landau-Ginzburg potential is given by f(z_{1,}z_{2},w_{1}_{},w_{2}_{})=z_{1}+z_{2}+w_{1}+w_{2}+1/z_{1}z_{2}+1/w_{1}w_{2}+1/z_{1}z_{2}w_{1}w_{2}.

The action of U^{t}^{} is given in the z_{1} andĀ w_{1} coordinates by:

Action of V^{t }^{}^{}is given in the z_{1} and w_{1} coordinates as follows

Action of
~~~~
~~W~~^{t}_{D} for D=V_{X}(e_{i}) with i=1,2 is given in the z_{1} and w_{1} coordinates as follows

Action of
~~W~~^{}^{t}_{D }for D=V_{X}_{}(e_{i}_{}) with i=3,4 is given in the z_{1} and w_{1} coordinates as follows

Action of
~~W~~
^{}^{t}_{D }for D=V_{X}(e_{i}_{})-V_{X}(v_{3}) with i=1,2 is given in the z_{1 }and w_{1 }coordinates as follows

Action of
~~W~~^{}^{t}_{D }for D=V_{X}_{}(e_{i}_{})-V_{X}_{}(v_{2}) with i=3,4 is given in the z and w coordinates as follows

Action of
~~W~~^{}^{t}_{D }for D=V_{X}(v_{3}_{}) is given in the z_{1} and w_{1} coordinates by

Action of
~~W'~~^{}^{t}_{D }for D=V_{X}(v_{3}_{}) is given in the z_{1} and w_{1} coordinates by