rho: (0, 0, 0, 0, 2, 0, 0, 0)
center: (0, 0, 0, 0, 1, 0, 0, 0)
lattice point: True

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

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

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

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

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

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

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

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

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

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