orbitesNewR144 = (orbite /@ newR) // Union

{{{1, 4, 27, 4, 1, 27, 4, 13, 19, 13, 4, 27}, {1, 16, 11, 9, 7, 9, 11, 16, 1, 27, 9, 27}, {1, ... , 3, 33}, {32, 1, 3, 13, 15, 1, 3, 1, 16, 15, 1, 43}, {32, 3, 1, 15, 13, 3, 1, 3, 16, 13, 3, 41}}}

Created by Mathematica  (January 22, 2004)