​​ ​Bl​3​(P​2​)

For X=Bl​3​(P​2​) the Landau-Ginzburg potential is f(z​1​,z​2​)=z​1​+z​2​+z​1z​2+1/z​1+1/z​1​z​2​+1/z​2. And the LG-system is given by ​z​1​+z​1z​2​-1/z​1​-1/z​1​z​2​=z​2​+z​1z​2-1/z​1​z​2​-1/z​2​=0. The exceptional collection is given by {0,H,H-E1​,H-E2,H-E,2H-E​1-E​2-E​3}. The action of the monodromies is given in the z​1 and z​2 coordinates as follows:
Action of e​it​z​1​+z​2​+z​1z​2+1/z​1+1/z​1​z​​2+1/z​2:

​Action of z​1​+e​itz​2​+z​1z​2​+1/z​1+1/z​1​z​2​+1/z​2
​Action of z​1​+z​2​+e​itz​1z​2+1/z​1+​1/z​1​z​2​+1/z​2
​Action of z​1​+z​2​+z​1z​2+e​it/z​1+​1/z​1​z​2​+1/z​2
​Action of z​1​+z​2​+z​1z​2+1/z​1+​e​it/z​1​z​2​+1/z​2
​Action of z​1​+z​2​+z​1z​2+1/z​1+1/z​1​z​2​+e​it/z​2
​Action of z​1​+e​itz​2​+e​itz​1z​2+1/z​1+1/z​1​z​2​+1/z​2
​Action of z​1​+z​2​+z​1z​2+1/z​1+e​it/z​1​z​2​+e​it/z​2
​Action of e​itz​1​+z​2​+z​1z​2+1/z​1+1/z​1​z​2​+e​it/z​2
​Action of z​1​+e​itz​2​+z​1z​2+e​it/z​1+1/z​1​z​2​+e​it/z​2
​Action of e​itz​1​+e​itz​2​+z​1z​2+1/z​1+1/z​1​z​2​+e​it/z​2
​Action of e​itz​1​+e​itz​2​+z​1z​2+e​it/z​1+e​it/z​1​z​2​+1/z​2