Complex

dom = [[1,1],[3,1],[1,3],[3,3],[2,5]]

pov = [1/2**0.5, 1/2**0.5]

dom_new = []

centr = [2,2]

for y in dom:
    x = [y[0]-centr[0], y[1]-centr[1]]
    dom_new.append([x[0]*pov[0] - x[1]*pov[1] + centr[0], x[0]*pov[1] + x[1]*pov[0]+centr[1]])

for i in dom_new:
    print(i)