rho: (0, 0, 0, 2, 0, 0, 2)
center: (3, 9/2, 6, 9, 13/2, 4, 3/2)
lattice point: True

rho: (2, 0, 0, 2, 0, 0, 2)
center: (1, 3, 7/2, 6, 9/2, 3, 3/2)
lattice point: False

rho: (2, 0, 0, 2, 0, 2, 2)
center: (1, 2, 5/2, 4, 5/2, 1, 1/2)
lattice point: False

rho: (2, 2, 2, 0, 2, 0, 2)
center: (1/2, 1, 1, 2, 2, 3/2, 1)
lattice point: False

rho: (2, 2, 2, 0, 2, 2, 2)
center: (1/2, 1, 1, 3/2, 1, 1/2, 1/2)
lattice point: False

rho: (2, 2, 2, 2, 2, 2, 2)
center: (1/2, 1/2, 1/2, 1/2, 1/2, 1/2, 1/2)
lattice point: False