It says to find 4 different complex number z1,z2,z3,z4 such that each complex number through these 4 properties will produce an integer.

property 1) Re(z) = integer

property 2)Im(z) = integer

property 3) Re(z^(-1)) = integer

property 4)Im(z^(-1)) = integer

where Re and Im denotes the real and imaginary of the complex number respectively.

Please help.

I came up with only 1, i need 3 more.

The one i came up with is

z1=1+1i