Madie and Clyde buy another circular plot of land, smaller than the first, on which to plant an orchard. They have set up coordinates as before, with the center of the orchard at (0, 0). They will plant trees at all points with integer coordinates that lie within the orchard, except at (0, 0). In this orchard, the tree at (5, 12) is on the boundary. What are the coordinates of the other trees that must also be on the boundary? Explain your answer.