​​ ​P(O+O(2))

For X=P(O+O(2)) the Landau-Ginzburg potential is f(z​1​,z​2​,z​3)=z​1​+z​2​+z​3​+(z​3​)​2/z​1​z​2​+1/z​3.
The action of (1-t)z​1+(1-t)z​2+z​3+(1-t)(z​3​)​2/z​1z​2+1/z​3 in the z​1,z​2 and z​3 coordinates is given by:
Action of e​it​z​1​+z​2​+z​3​+(z​3​)​2/z​1z​2+1/z​3
​Action of z​1​+e​itz​2​+z​3​+(z​3​)​2/z​1​z​2​+1/z​3
​Action of z​1+z​2+e​itz​3​+(z​3​)​2/z​1z​2+1/z​3
​Action of z​1+z​2​+z​3+e​it​(z​3​)​2/z​1z​2+1/z​3
​Action of z​1+z​2+z​3​+(z​3​)​2/z​1z​2+e​it/z​3
​Action of e​itz​1+e​itz​2+e​itz​3+(z​3​)​2/z​1z​2+1/z​3
​Action of e​itz​1+z​2+e​itz​3+e​it​(z​3​)​2/z​1z​2+1/z​1
​Action of e​itz​1+z​2+e​itz​3+e​it​(z​3​)​2/z​1z​2+1/z​1
​Action of z​1+e​itz​2+z​3+z​3/z​1z​2+1/z​1
​Action of z​1+e​itz​2+e​itz​3+e​it​(z​3​)​2/z​1z​2+1/z​1