manifold_4_6_16_1=[[1,2,3,4,5],[1,2,3,4,6],[1,2,3,5,6], [1,2,4,5,6],[1,3,4,5,6],[2,3,4,5,6]] manifold_4_9_13_1=[[1,2,3,4,5],[1,2,3,4,7],[1,2,3,5,8], [1,2,3,7,8],[1,2,4,5,6],[1,2,4,6,7],[1,2,5,6,8], [1,2,6,7,9],[1,2,6,8,9],[1,2,7,8,9],[1,3,4,5,9], [1,3,4,7,8],[1,3,4,8,9],[1,3,5,6,8],[1,3,5,6,9], [1,3,6,8,9],[1,4,5,6,7],[1,4,5,7,9],[1,4,7,8,9], [1,5,6,7,9],[2,3,4,5,9],[2,3,4,6,7],[2,3,4,6,9], [2,3,5,7,8],[2,3,5,7,9],[2,3,6,7,9],[2,4,5,6,8], [2,4,5,8,9],[2,4,6,8,9],[2,5,7,8,9],[3,4,6,7,8], [3,4,6,8,9],[3,5,6,7,8],[3,5,6,7,9],[4,5,6,7,8], [4,5,7,8,9]] manifold_4_10_39_1=[[1,2,3,4,5],[1,2,3,4,10],[1,2,3,5,9], [1,2,3,9,10],[1,2,4,5,8],[1,2,4,8,10], [1,2,5,8,9],[1,2,8,9,10],[1,3,4,5,7], [1,3,4,7,10],[1,3,5,7,9],[1,3,7,9,10], [1,4,5,7,8],[1,4,7,8,10],[1,5,7,8,9], [1,7,8,9,10],[2,3,4,5,6],[2,3,4,6,10], [2,3,5,6,9],[2,3,6,9,10],[2,4,5,6,8], [2,4,6,8,10],[2,5,6,8,9],[2,6,8,9,10], [3,4,5,6,7],[3,4,6,7,10],[3,5,6,7,9], [3,6,7,9,10],[4,5,6,7,8],[4,6,7,8,10], [5,6,7,8,9],[6,7,8,9,10]] manifold_4_10_4_1=[[1,2,3,4,5],[1,2,3,4,7],[1,2,3,5,9], [1,2,3,7,10],[1,2,3,9,10],[1,2,4,5,8], [1,2,4,7,10],[1,2,4,8,10],[1,2,5,8,10], [1,2,5,9,10],[1,3,4,5,7],[1,3,5,7,9], [1,3,7,9,10],[1,4,5,6,7],[1,4,5,6,8],[1,4,6,7,8], [1,4,7,8,10],[1,5,6,7,8],[1,5,7,8,9], [1,5,8,9,10],[1,7,8,9,10],[2,3,4,5,9], [2,3,4,6,9],[2,3,4,6,10],[2,3,4,7,10], [2,3,6,9,10],[2,4,5,6,8],[2,4,5,6,9], [2,4,6,8,10],[2,5,6,8,9],[2,5,8,9,10], [2,6,8,9,10],[3,4,5,6,7],[3,4,5,6,9], [3,4,6,7,10],[3,5,6,7,9],[3,6,7,8,9], [3,6,7,8,10],[3,6,8,9,10],[3,7,8,9,10], [4,6,7,8,10],[5,6,7,8,9]] manifold_4_10_2_1=[[1,2,3,4,5],[1,2,3,4,10],[1,2,3,5,6], [1,2,3,6,7],[1,2,3,7,9],[1,2,3,9,10],[1,2,4,5,6], [1,2,4,6,10],[1,2,6,7,10],[1,2,7,8,9], [1,2,7,8,10],[1,2,8,9,10],[1,3,4,5,9], [1,3,4,9,10],[1,3,5,6,7],[1,3,5,7,9], [1,4,5,6,10],[1,4,5,9,10],[1,5,6,7,10], [1,5,7,9,10],[1,7,8,9,10],[2,3,4,5,6], [2,3,4,6,8],[2,3,4,8,9],[2,3,4,9,10],[2,3,6,7,8], [2,3,7,8,9],[2,4,6,8,10],[2,4,8,9,10], [2,6,7,8,10],[3,4,5,6,7],[3,4,5,7,8],[3,4,5,8,9], [3,4,6,7,8],[3,5,7,8,9],[4,5,6,7,8],[4,5,6,8,10], [4,5,8,9,10],[5,6,7,8,9],[5,6,7,9,10], [5,6,8,9,10],[6,7,8,9,10]] manifold_4_10_1_1=[[1,2,3,4,5],[1,2,3,4,10],[1,2,3,5,6], [1,2,3,6,7],[1,2,3,7,9],[1,2,3,9,10], [1,2,4,5,10],[1,2,5,6,10],[1,2,6,7,8], [1,2,6,8,10],[1,2,7,8,9],[1,2,8,9,10], [1,3,4,5,9],[1,3,4,9,10],[1,3,5,6,7],[1,3,5,7,9], [1,4,5,9,10],[1,5,6,7,10],[1,5,7,9,10], [1,6,7,8,10],[1,7,8,9,10],[2,3,4,5,6], [2,3,4,6,7],[2,3,4,7,8],[2,3,4,8,10],[2,3,7,8,9], [2,3,8,9,10],[2,4,5,6,10],[2,4,6,7,8], [2,4,6,8,10],[3,4,5,6,7],[3,4,5,7,8],[3,4,5,8,9], [3,4,8,9,10],[3,5,7,8,9],[4,5,6,7,8],[4,5,6,8,9], [4,5,6,9,10],[4,6,8,9,10],[5,6,7,8,9], [5,6,7,9,10],[6,7,8,9,10]] manifold_4_11_2_1=[[1,2,3,4,6],[1,2,3,4,10],[1,2,3,5,6], [1,2,3,5,11],[1,2,3,9,10],[1,2,3,9,11], [1,2,4,5,6],[1,2,4,5,11],[1,2,4,10,11], [1,2,8,9,10],[1,2,8,9,11],[1,2,8,10,11], [1,3,4,5,6],[1,3,4,5,11],[1,3,4,10,11], [1,3,9,10,11],[1,7,8,9,10],[1,7,8,9,11], [1,7,8,10,11],[1,7,9,10,11],[2,3,4,5,7], [2,3,4,5,11],[2,3,4,6,7],[2,3,4,10,11], [2,3,5,6,7],[2,3,9,10,11],[2,4,5,6,7], [2,8,9,10,11],[3,4,5,6,8],[3,4,5,7,8], [3,4,6,7,8],[3,5,6,7,8],[4,5,6,7,9],[4,5,6,8,9], [4,5,7,8,9],[4,6,7,8,9],[5,6,7,8,10], [5,6,7,9,10],[5,6,8,9,10],[5,7,8,9,10], [6,7,8,9,11],[6,7,8,10,11],[6,7,9,10,11], [6,8,9,10,11]] manifold_4_12_124_1=[[1,2,4,6,9],[1,2,4,6,11],[1,2,4,7,10], [1,2,4,7,11],[1,2,4,9,10],[1,2,5,7,8], [1,2,5,7,11],[1,2,5,8,10],[1,2,5,9,10], [1,2,5,9,11],[1,2,6,9,11],[1,2,7,8,10], [1,3,4,6,8],[1,3,4,6,9],[1,3,4,7,9],[1,3,4,7,11], [1,3,4,8,11],[1,3,5,6,9],[1,3,5,6,10], [1,3,5,9,10],[1,3,6,8,10],[1,3,7,8,10], [1,3,7,8,11],[1,3,7,9,10],[1,4,6,8,11], [1,4,7,9,10],[1,5,6,8,10],[1,5,6,8,11], [1,5,6,9,11],[1,5,7,8,11],[2,4,6,8,10], [2,4,6,8,11],[2,4,6,9,10],[2,4,7,8,10], [2,4,7,8,12],[2,4,7,11,12],[2,4,8,11,12], [2,5,6,8,10],[2,5,6,8,12],[2,5,6,10,12], [2,5,7,8,12],[2,5,7,9,11],[2,5,7,9,12], [2,5,9,10,12],[2,6,8,11,12],[2,6,9,10,12], [2,6,9,11,12],[2,7,9,11,12],[3,4,6,8,10], [3,4,6,9,12],[3,4,6,10,12],[3,4,7,9,11], [3,4,8,10,12],[3,4,8,11,12],[3,4,9,11,12], [3,5,6,9,11],[3,5,6,10,12],[3,5,6,11,12], [3,5,7,8,11],[3,5,7,8,12],[3,5,7,9,10], [3,5,7,9,11],[3,5,7,10,12],[3,5,8,11,12], [3,6,9,11,12],[3,7,8,10,12],[4,6,9,10,12], [4,7,8,10,12],[4,7,9,10,12],[4,7,9,11,12], [5,6,8,11,12],[5,7,9,10,12]] manifold_4_12_75_1=[[1,2,4,6,9],[1,2,4,6,11],[1,2,4,7,9], [1,2,4,7,11],[1,2,5,6,10],[1,2,5,6,11], [1,2,5,8,10],[1,2,5,8,11],[1,2,6,9,10], [1,2,7,8,10],[1,2,7,8,11],[1,2,7,9,10], [1,3,4,6,8],[1,3,4,6,9],[1,3,4,8,10], [1,3,4,9,10],[1,3,5,6,8],[1,3,5,6,10], [1,3,5,8,10],[1,3,6,9,10],[1,4,6,8,11], [1,4,7,8,10],[1,4,7,8,11],[1,4,7,9,10], [1,5,6,8,11],[2,4,6,9,11],[2,4,7,9,12], [2,4,7,11,12],[2,4,9,11,12],[2,5,6,9,10], [2,5,6,9,11],[2,5,7,8,10],[2,5,7,8,12], [2,5,7,9,10],[2,5,7,9,12],[2,5,8,11,12], [2,5,9,11,12],[2,7,8,11,12],[3,4,6,8,11], [3,4,6,9,11],[3,4,7,8,10],[3,4,7,8,11], [3,4,7,10,12],[3,4,7,11,12],[3,4,9,10,12], [3,4,9,11,12],[3,5,6,8,12],[3,5,6,10,12], [3,5,7,8,10],[3,5,7,8,12],[3,5,7,10,12], [3,6,8,11,12],[3,6,9,10,12],[3,6,9,11,12], [3,7,8,11,12],[4,7,9,10,12],[5,6,8,11,12], [5,6,9,10,12],[5,6,9,11,12],[5,7,9,10,12]] manifold_4_12_54_1=[[1,2,4,5,10],[1,2,4,5,11],[1,2,4,10,11], [1,2,5,10,11],[1,3,6,7,8],[1,3,6,7,9], [1,3,6,8,9],[1,3,7,8,9],[1,4,5,10,12], [1,4,5,11,12],[1,4,6,10,11],[1,4,6,10,12], [1,4,6,11,12],[1,5,7,10,11],[1,5,7,10,12], [1,5,7,11,12],[1,6,7,8,11],[1,6,7,9,10], [1,6,7,10,11],[1,6,8,9,12],[1,6,8,11,12], [1,6,9,10,12],[1,7,8,9,12],[1,7,8,11,12], [1,7,9,10,12],[2,3,4,7,8],[2,3,4,7,9], [2,3,4,8,10],[2,3,4,9,11],[2,3,4,10,11], [2,3,5,6,8],[2,3,5,6,9],[2,3,5,8,10], [2,3,5,9,11],[2,3,5,10,11],[2,3,6,7,8], [2,3,6,7,9],[2,4,5,8,9],[2,4,5,8,10], [2,4,5,9,11],[2,4,7,8,9],[2,5,6,8,9], [2,6,7,8,12],[2,6,7,9,12],[2,6,8,9,12], [2,7,8,9,12],[3,4,5,8,9],[3,4,5,8,10], [3,4,5,9,11],[3,4,5,10,12],[3,4,5,11,12], [3,4,7,8,9],[3,4,10,11,12],[3,5,6,8,9], [3,5,10,11,12],[4,6,10,11,12],[5,7,10,11,12], [6,7,8,11,12],[6,7,9,10,12],[6,7,10,11,12]] manifold_4_12_28_1=[[1,2,3,4,5],[1,2,3,4,12],[1,2,3,5,10], [1,2,3,6,10],[1,2,3,6,11],[1,2,3,11,12], [1,2,4,5,9],[1,2,4,9,12],[1,2,5,9,12], [1,2,5,10,12],[1,2,6,10,11],[1,2,10,11,12], [1,3,4,5,8],[1,3,4,8,12],[1,3,5,8,10], [1,3,6,8,10],[1,3,6,8,11],[1,3,8,11,12], [1,4,5,6,8],[1,4,5,6,9],[1,4,6,8,11], [1,4,6,9,11],[1,4,8,11,12],[1,4,9,11,12], [1,5,6,8,9],[1,5,8,9,10],[1,5,9,10,12], [1,6,8,9,10],[1,6,9,10,11],[1,9,10,11,12], [2,3,4,5,6],[2,3,4,6,11],[2,3,4,7,11], [2,3,4,7,12],[2,3,5,6,10],[2,3,7,11,12], [2,4,5,6,9],[2,4,6,9,11],[2,4,7,9,11], [2,4,7,9,12],[2,5,6,7,9],[2,5,6,7,10], [2,5,7,9,12],[2,5,7,10,12],[2,6,7,9,10], [2,6,9,10,11],[2,7,9,10,11],[2,7,10,11,12], [3,4,5,6,7],[3,4,5,7,12],[3,4,5,8,12], [3,4,6,7,11],[3,5,6,7,10],[3,5,7,10,12], [3,5,8,10,12],[3,6,7,8,10],[3,6,7,8,11], [3,7,8,10,11],[3,7,10,11,12],[3,8,10,11,12], [4,5,6,7,8],[4,5,7,8,12],[4,6,7,8,11], [4,7,8,9,11],[4,7,8,9,12],[4,8,9,11,12], [5,6,7,8,9],[5,7,8,9,12],[5,8,9,10,12], [6,7,8,9,10],[7,8,9,10,11],[8,9,10,11,12]] manifold_4_12_12_1=[[1,2,3,4,6],[1,2,3,4,11],[1,2,3,5,6], [1,2,3,5,12],[1,2,3,10,11],[1,2,3,10,12], [1,2,4,5,6],[1,2,4,5,12],[1,2,4,11,12], [1,2,9,10,11],[1,2,9,10,12],[1,2,9,11,12], [1,3,4,5,6],[1,3,4,5,12],[1,3,4,11,12], [1,3,10,11,12],[1,8,9,10,11],[1,8,9,10,12], [1,8,9,11,12],[1,8,10,11,12],[2,3,4,5,7], [2,3,4,5,12],[2,3,4,6,7],[2,3,4,11,12], [2,3,5,6,7],[2,3,10,11,12],[2,4,5,6,7], [2,9,10,11,12],[3,4,5,6,8],[3,4,5,7,8], [3,4,6,7,8],[3,5,6,7,8],[4,5,6,7,9],[4,5,6,8,9], [4,5,7,8,9],[4,6,7,8,9],[5,6,7,8,10], [5,6,7,9,10],[5,6,8,9,10],[5,7,8,9,10], [6,7,8,9,11],[6,7,8,10,11],[6,7,9,10,11], [6,8,9,10,11],[7,8,9,10,12],[7,8,9,11,12], [7,8,10,11,12],[7,9,10,11,12]] manifold_4_12_11_1=[[1,2,3,4,5],[1,2,3,4,12],[1,2,3,5,6], [1,2,3,6,11],[1,2,3,11,12],[1,2,4,5,12], [1,2,5,6,9],[1,2,5,9,10],[1,2,5,10,12], [1,2,6,9,11],[1,2,9,10,11],[1,2,10,11,12], [1,3,4,5,8],[1,3,4,8,11],[1,3,4,11,12], [1,3,5,6,10],[1,3,5,8,10],[1,3,6,8,10], [1,3,6,8,11],[1,4,5,8,12],[1,4,6,8,9], [1,4,6,8,11],[1,4,6,9,11],[1,4,8,9,12], [1,4,9,11,12],[1,5,6,9,10],[1,5,8,10,12], [1,6,8,9,10],[1,8,9,10,12],[1,9,10,11,12], [2,3,4,5,6],[2,3,4,6,7],[2,3,4,7,12], [2,3,6,7,10],[2,3,6,10,11],[2,3,7,10,12], [2,3,10,11,12],[2,4,5,6,9],[2,4,5,9,12], [2,4,6,7,11],[2,4,6,9,11],[2,4,7,9,11], [2,4,7,9,12],[2,5,7,9,10],[2,5,7,9,12], [2,5,7,10,12],[2,6,7,10,11],[2,7,9,10,11], [3,4,5,6,7],[3,4,5,7,8],[3,4,7,8,11], [3,4,7,11,12],[3,5,6,7,10],[3,5,7,8,12], [3,5,7,10,12],[3,5,8,10,12],[3,6,8,10,11], [3,7,8,11,12],[3,8,10,11,12],[4,5,6,7,8], [4,5,6,8,9],[4,5,8,9,12],[4,6,7,8,11], [4,7,9,11,12],[5,6,7,8,9],[5,6,7,9,10], [5,7,8,9,12],[6,7,8,9,10],[6,7,8,10,11], [7,8,9,10,11],[7,8,9,11,12],[8,9,10,11,12]] manifold_4_12_2_1=[[1,2,3,4,6],[1,2,3,4,10],[1,2,3,6,7], [1,2,3,7,10],[1,2,4,6,7],[1,2,4,7,8],[1,2,4,8,9], [1,2,4,9,11],[1,2,4,10,12],[1,2,4,11,12], [1,2,7,8,10],[1,2,8,9,11],[1,2,8,10,12], [1,2,8,11,12],[1,3,4,6,11],[1,3,4,10,11], [1,3,5,6,8],[1,3,5,6,12],[1,3,5,7,10], [1,3,5,7,12],[1,3,5,8,11],[1,3,5,10,11], [1,3,6,7,12],[1,3,6,8,9],[1,3,6,9,11], [1,3,8,9,11],[1,4,5,10,11],[1,4,5,10,12], [1,4,5,11,12],[1,4,6,7,11],[1,4,7,8,9], [1,4,7,9,11],[1,5,6,8,12],[1,5,7,10,12], [1,5,8,11,12],[1,6,7,9,11],[1,6,7,9,12], [1,6,8,9,12],[1,7,8,9,12],[1,7,8,10,12], [2,3,4,6,12],[2,3,4,10,12],[2,3,5,7,8], [2,3,5,7,9],[2,3,5,8,9],[2,3,6,7,12], [2,3,7,8,10],[2,3,7,9,12],[2,3,8,9,11], [2,3,8,10,11],[2,3,9,10,11],[2,3,9,10,12], [2,4,5,6,8],[2,4,5,6,12],[2,4,5,8,9], [2,4,5,9,11],[2,4,5,11,12],[2,4,6,7,8], [2,5,6,7,8],[2,5,6,7,11],[2,5,6,11,12], [2,5,7,9,11],[2,6,7,11,12],[2,7,9,11,12], [2,8,10,11,12],[2,9,10,11,12],[3,4,5,6,8], [3,4,5,6,12],[3,4,5,8,9],[3,4,5,9,12], [3,4,6,8,9],[3,4,6,9,10],[3,4,6,10,11], [3,4,9,10,12],[3,5,7,8,10],[3,5,7,9,12], [3,5,8,10,11],[3,6,9,10,11],[4,5,7,9,10], [4,5,7,9,11],[4,5,7,10,11],[4,5,9,10,12], [4,6,7,8,10],[4,6,7,10,11],[4,6,8,9,10], [4,7,8,9,10],[5,6,7,8,10],[5,6,7,10,11], [5,6,8,10,11],[5,6,8,11,12],[5,7,9,10,12], [6,7,9,11,12],[6,8,9,10,12],[6,8,10,11,12], [6,9,10,11,12],[7,8,9,10,12]] manifold_4_12_2_2=[[1,2,3,4,7],[1,2,3,4,10],[1,2,3,5,7], [1,2,3,5,11],[1,2,3,10,11],[1,2,4,7,11], [1,2,4,10,11],[1,2,5,7,8],[1,2,5,8,12], [1,2,5,11,12],[1,2,7,8,11],[1,2,8,11,12], [1,3,4,5,7],[1,3,4,5,12],[1,3,4,6,9], [1,3,4,6,12],[1,3,4,9,10],[1,3,5,11,12], [1,3,6,8,9],[1,3,6,8,12],[1,3,8,9,12], [1,3,9,10,11],[1,3,9,11,12],[1,4,5,7,12], [1,4,6,7,11],[1,4,6,7,12],[1,4,6,8,9], [1,4,6,8,10],[1,4,6,10,11],[1,4,8,9,10], [1,5,7,8,10],[1,5,7,10,12],[1,5,8,10,12], [1,6,7,10,11],[1,6,7,10,12],[1,6,8,10,12], [1,7,8,9,10],[1,7,8,9,11],[1,7,9,10,11], [1,8,9,11,12],[2,3,4,7,10],[2,3,5,6,7], [2,3,5,6,8],[2,3,5,8,10],[2,3,5,10,11], [2,3,6,7,9],[2,3,6,8,9],[2,3,7,9,12], [2,3,7,10,12],[2,3,8,9,12],[2,3,8,10,12], [2,4,5,9,11],[2,4,5,9,12],[2,4,5,10,11], [2,4,5,10,12],[2,4,6,7,11],[2,4,6,7,12], [2,4,6,8,9],[2,4,6,8,11],[2,4,6,9,12], [2,4,7,10,12],[2,4,8,9,11],[2,5,6,7,8], [2,5,8,10,12],[2,5,9,11,12],[2,6,7,8,11], [2,6,7,9,12],[2,8,9,11,12],[3,4,5,6,9], [3,4,5,6,12],[3,4,5,7,9],[3,4,7,9,10], [3,5,6,7,9],[3,5,6,8,11],[3,5,6,11,12], [3,5,8,10,11],[3,6,8,10,11],[3,6,8,10,12], [3,6,10,11,12],[3,7,9,10,12],[3,9,10,11,12], [4,5,6,9,12],[4,5,7,8,9],[4,5,7,8,10], [4,5,7,10,12],[4,5,8,9,11],[4,5,8,10,11], [4,6,8,10,11],[4,7,8,9,10],[5,6,7,8,11], [5,6,7,9,11],[5,6,9,11,12],[5,7,8,9,11], [6,7,9,10,11],[6,7,9,10,12],[6,9,10,11,12]] manifold_4_13_2_1=[[1,2,3,4,6],[1,2,3,4,12],[1,2,3,5,6], [1,2,3,5,13],[1,2,3,11,12],[1,2,3,11,13], [1,2,4,5,6],[1,2,4,5,13],[1,2,4,12,13], [1,2,10,11,12],[1,2,10,11,13],[1,2,10,12,13], [1,3,4,5,6],[1,3,4,5,13],[1,3,4,12,13], [1,3,11,12,13],[1,9,10,11,12],[1,9,10,11,13], [1,9,10,12,13],[1,9,11,12,13],[2,3,4,5,7], [2,3,4,5,13],[2,3,4,6,7],[2,3,4,12,13], [2,3,5,6,7],[2,3,11,12,13],[2,4,5,6,7], [2,10,11,12,13],[3,4,5,6,8],[3,4,5,7,8], [3,4,6,7,8],[3,5,6,7,8],[4,5,6,7,9],[4,5,6,8,9], [4,5,7,8,9],[4,6,7,8,9],[5,6,7,8,10], [5,6,7,9,10],[5,6,8,9,10],[5,7,8,9,10], [6,7,8,9,11],[6,7,8,10,11],[6,7,9,10,11], [6,8,9,10,11],[7,8,9,10,12],[7,8,9,11,12], [7,8,10,11,12],[7,9,10,11,12],[8,9,10,11,13], [8,9,10,12,13],[8,9,11,12,13],[8,10,11,12,13]] manifold_4_13_2_2=[[1,2,3,4,6],[1,2,3,4,12],[1,2,3,5,7], [1,2,3,5,13],[1,2,3,6,7],[1,2,3,10,11], [1,2,3,10,12],[1,2,3,11,13],[1,2,4,6,13], [1,2,4,12,13],[1,2,5,6,7],[1,2,5,6,13], [1,2,9,10,11],[1,2,9,10,13],[1,2,9,11,13], [1,2,10,12,13],[1,3,4,5,6],[1,3,4,5,12], [1,3,5,6,7],[1,3,5,12,13],[1,3,10,11,12], [1,3,11,12,13],[1,4,5,6,13],[1,4,5,12,13], [1,8,9,10,12],[1,8,9,10,13],[1,8,9,12,13], [1,8,10,12,13],[1,9,10,11,12],[1,9,11,12,13], [2,3,4,5,7],[2,3,4,5,13],[2,3,4,6,8],[2,3,4,7,8], [2,3,4,11,12],[2,3,4,11,13],[2,3,6,7,8], [2,3,10,11,12],[2,4,5,6,7],[2,4,5,6,13], [2,4,6,7,8],[2,4,11,12,13],[2,9,10,11,13], [2,10,11,12,13],[3,4,5,6,8],[3,4,5,7,9], [3,4,5,8,9],[3,4,5,12,13],[3,4,7,8,9], [3,4,11,12,13],[3,5,6,7,8],[3,5,7,8,9], [4,5,6,7,9],[4,5,6,8,10],[4,5,6,9,10], [4,5,8,9,10],[4,6,7,8,9],[4,6,8,9,10], [5,6,7,8,10],[5,6,7,9,11],[5,6,7,10,11], [5,6,9,10,11],[5,7,8,9,10],[5,7,9,10,11], [6,7,8,9,11],[6,7,8,10,12],[6,7,8,11,12], [6,7,10,11,12],[6,8,9,10,11],[6,8,10,11,12], [7,8,9,10,12],[7,8,9,11,13],[7,8,9,12,13], [7,8,11,12,13],[7,9,10,11,12],[7,9,11,12,13], [8,9,10,11,13],[8,10,11,12,13]] manifold_4_13_2_3=[[1,2,3,4,7],[1,2,3,4,11],[1,2,3,6,7], [1,2,3,6,13],[1,2,3,10,11],[1,2,3,10,13], [1,2,4,5,7],[1,2,4,5,12],[1,2,4,11,12], [1,2,5,6,7],[1,2,5,6,13],[1,2,5,12,13], [1,2,9,10,11],[1,2,9,10,13],[1,2,9,11,12], [1,2,9,12,13],[1,3,4,6,7],[1,3,4,6,13], [1,3,4,11,13],[1,3,10,11,13],[1,4,5,6,7], [1,4,5,6,13],[1,4,5,12,13],[1,4,11,12,13], [1,8,9,10,11],[1,8,9,10,13],[1,8,9,11,12], [1,8,9,12,13],[1,8,10,11,13],[1,8,11,12,13], [2,3,4,5,8],[2,3,4,5,12],[2,3,4,7,8], [2,3,4,11,12],[2,3,5,6,8],[2,3,5,6,13], [2,3,5,12,13],[2,3,6,7,8],[2,3,10,11,12], [2,3,10,12,13],[2,4,5,7,8],[2,5,6,7,8], [2,9,10,11,12],[2,9,10,12,13],[3,4,5,6,9], [3,4,5,6,13],[3,4,5,8,9],[3,4,5,12,13], [3,4,6,7,9],[3,4,7,8,9],[3,4,11,12,13], [3,5,6,8,9],[3,6,7,8,9],[3,10,11,12,13], [4,5,6,7,10],[4,5,6,9,10],[4,5,7,8,10], [4,5,8,9,10],[4,6,7,9,10],[4,7,8,9,10], [5,6,7,8,11],[5,6,7,10,11],[5,6,8,9,11], [5,6,9,10,11],[5,7,8,10,11],[5,8,9,10,11], [6,7,8,9,12],[6,7,8,11,12],[6,7,9,10,12], [6,7,10,11,12],[6,8,9,11,12],[6,9,10,11,12], [7,8,9,10,13],[7,8,9,12,13],[7,8,10,11,13], [7,8,11,12,13],[7,9,10,12,13],[7,10,11,12,13]] manifold_4_13_2_4=[[1,2,3,5,6],[1,2,3,5,11],[1,2,3,6,12], [1,2,3,11,12],[1,2,4,5,6],[1,2,4,5,13], [1,2,4,6,12],[1,2,4,10,12],[1,2,4,10,13], [1,2,5,11,13],[1,2,10,11,12],[1,2,10,11,13], [1,3,4,5,8],[1,3,4,5,13],[1,3,4,6,8], [1,3,4,6,12],[1,3,4,12,13],[1,3,5,6,8], [1,3,5,11,13],[1,3,9,11,12],[1,3,9,11,13], [1,3,9,12,13],[1,4,5,6,8],[1,4,10,12,13], [1,7,9,10,11],[1,7,9,10,12],[1,7,9,11,12], [1,7,10,11,12],[1,9,10,11,13],[1,9,10,12,13], [2,3,4,6,7],[2,3,4,6,12],[2,3,4,7,13], [2,3,4,12,13],[2,3,5,6,7],[2,3,5,7,13], [2,3,5,11,13],[2,3,11,12,13],[2,4,5,6,9], [2,4,5,7,9],[2,4,5,7,13],[2,4,6,7,9], [2,4,10,12,13],[2,5,6,7,9],[2,8,10,11,12], [2,8,10,11,13],[2,8,10,12,13],[2,8,11,12,13], [3,4,5,7,8],[3,4,5,7,13],[3,4,6,7,8], [3,5,6,7,10],[3,5,6,8,10],[3,5,7,8,10], [3,6,7,8,10],[3,9,11,12,13],[4,5,6,8,9], [4,5,7,8,9],[4,6,7,8,11],[4,6,7,9,11], [4,6,8,9,11],[4,7,8,9,11],[5,6,7,9,10], [5,6,8,9,10],[5,7,8,9,12],[5,7,8,10,12], [5,7,9,10,12],[5,8,9,10,12],[6,7,8,10,11], [6,7,9,10,11],[6,8,9,10,13],[6,8,9,11,13], [6,8,10,11,13],[6,9,10,11,13],[7,8,9,11,12], [7,8,10,11,12],[8,9,10,12,13],[8,9,11,12,13]] manifold_4_13_1_1=[[1,2,3,4,6],[1,2,3,4,11],[1,2,3,5,6], [1,2,3,5,13],[1,2,3,10,11],[1,2,3,10,13], [1,2,4,5,7],[1,2,4,5,13],[1,2,4,6,7], [1,2,4,11,12],[1,2,4,12,13],[1,2,5,6,7], [1,2,9,10,12],[1,2,9,10,13],[1,2,9,12,13], [1,2,10,11,12],[1,3,4,6,13],[1,3,4,11,12], [1,3,4,12,13],[1,3,5,6,13],[1,3,10,11,13], [1,3,11,12,13],[1,4,5,6,7],[1,4,5,6,13], [1,8,9,11,12],[1,8,9,11,13],[1,8,9,12,13], [1,8,11,12,13],[1,9,10,11,12],[1,9,10,11,13], [2,3,4,5,7],[2,3,4,5,12],[2,3,4,6,7], [2,3,4,11,12],[2,3,5,6,8],[2,3,5,7,8], [2,3,5,12,13],[2,3,6,7,8],[2,3,10,11,13], [2,3,11,12,13],[2,4,5,12,13],[2,5,6,7,8], [2,9,10,12,13],[2,10,11,12,13],[3,4,5,6,8], [3,4,5,6,13],[3,4,5,7,8],[3,4,5,12,13], [3,4,6,7,9],[3,4,6,8,9],[3,4,7,8,9],[3,6,7,8,9], [4,5,6,7,9],[4,5,6,8,9],[4,5,7,8,10], [4,5,7,9,10],[4,5,8,9,10],[4,7,8,9,10], [5,6,7,8,10],[5,6,7,9,10],[5,6,8,9,11], [5,6,8,10,11],[5,6,9,10,11],[5,8,9,10,11], [6,7,8,9,11],[6,7,8,10,11],[6,7,9,10,12], [6,7,9,11,12],[6,7,10,11,12],[6,9,10,11,12], [7,8,9,10,12],[7,8,9,11,12],[7,8,10,11,13], [7,8,10,12,13],[7,8,11,12,13],[7,10,11,12,13], [8,9,10,11,13],[8,9,10,12,13]] manifold_4_14_3_1=[[1,2,3,4,5],[1,2,3,4,14],[1,2,3,5,10], [1,2,3,8,10],[1,2,3,8,13],[1,2,3,13,14], [1,2,4,5,10],[1,2,4,9,10],[1,2,4,9,14], [1,2,7,8,10],[1,2,7,8,13],[1,2,7,9,10], [1,2,7,9,14],[1,2,7,12,13],[1,2,7,12,14], [1,2,12,13,14],[1,3,4,5,10],[1,3,4,9,10], [1,3,4,9,14],[1,3,8,9,10],[1,3,8,9,14], [1,3,8,13,14],[1,6,7,8,10],[1,6,7,8,13], [1,6,7,9,10],[1,6,7,9,14],[1,6,7,12,13], [1,6,7,12,14],[1,6,8,9,10],[1,6,8,9,14], [1,6,8,13,14],[1,6,11,12,13],[1,6,11,12,14], [1,6,11,13,14],[1,11,12,13,14],[2,3,4,5,6], [2,3,4,6,11],[2,3,4,9,11],[2,3,4,9,14], [2,3,5,6,11],[2,3,5,10,11],[2,3,8,9,11], [2,3,8,9,14],[2,3,8,10,11],[2,3,8,13,14], [2,4,5,6,11],[2,4,5,10,11],[2,4,9,10,11], [2,7,8,9,11],[2,7,8,9,14],[2,7,8,10,11], [2,7,8,13,14],[2,7,9,10,11],[2,7,12,13,14], [3,4,5,6,7],[3,4,5,7,12],[3,4,5,10,12], [3,4,6,7,12],[3,4,6,11,12],[3,4,9,10,12], [3,4,9,11,12],[3,5,6,7,12],[3,5,6,11,12], [3,5,10,11,12],[3,8,9,10,12],[3,8,9,11,12], [3,8,10,11,12],[4,5,6,7,8],[4,5,6,8,13], [4,5,6,11,13],[4,5,7,8,13],[4,5,7,12,13], [4,5,10,11,13],[4,5,10,12,13],[4,6,7,8,13], [4,6,7,12,13],[4,6,11,12,13],[4,9,10,11,13], [4,9,10,12,13],[4,9,11,12,13],[5,6,7,8,9], [5,6,7,9,14],[5,6,7,12,14],[5,6,8,9,14], [5,6,8,13,14],[5,6,11,12,14],[5,6,11,13,14], [5,7,8,9,14],[5,7,8,13,14],[5,7,12,13,14], [5,10,11,12,14],[5,10,11,13,14],[5,10,12,13,14], [6,7,8,9,10],[7,8,9,10,11],[8,9,10,11,12], [9,10,11,12,13],[10,11,12,13,14]] manifold_4_14_3_2=[[1,2,3,4,6],[1,2,3,4,13],[1,2,3,5,6], [1,2,3,5,14],[1,2,3,12,13],[1,2,3,12,14], [1,2,4,5,6],[1,2,4,5,14],[1,2,4,13,14], [1,2,11,12,13],[1,2,11,12,14],[1,2,11,13,14], [1,3,4,5,6],[1,3,4,5,14],[1,3,4,13,14], [1,3,12,13,14],[1,10,11,12,13],[1,10,11,12,14], [1,10,11,13,14],[1,10,12,13,14],[2,3,4,5,7], [2,3,4,5,14],[2,3,4,6,7],[2,3,4,13,14], [2,3,5,6,7],[2,3,12,13,14],[2,4,5,6,7], [2,11,12,13,14],[3,4,5,6,8],[3,4,5,7,8], [3,4,6,7,8],[3,5,6,7,8],[4,5,6,7,9],[4,5,6,8,9], [4,5,7,8,9],[4,6,7,8,9],[5,6,7,8,10], [5,6,7,9,10],[5,6,8,9,10],[5,7,8,9,10], [6,7,8,9,11],[6,7,8,10,11],[6,7,9,10,11], [6,8,9,10,11],[7,8,9,10,12],[7,8,9,11,12], [7,8,10,11,12],[7,9,10,11,12],[8,9,10,11,13], [8,9,10,12,13],[8,9,11,12,13],[8,10,11,12,13], [9,10,11,12,14],[9,10,11,13,14],[9,10,12,13,14], [9,11,12,13,14]] manifold_4_14_3_3=[[1,2,3,4,6],[1,2,3,4,13],[1,2,3,5,7], [1,2,3,5,14],[1,2,3,6,7],[1,2,3,11,12], [1,2,3,11,13],[1,2,3,12,14],[1,2,4,6,14], [1,2,4,13,14],[1,2,5,6,7],[1,2,5,6,14], [1,2,10,11,12],[1,2,10,11,14],[1,2,10,12,14], [1,2,11,13,14],[1,3,4,5,6],[1,3,4,5,13], [1,3,5,6,7],[1,3,5,13,14],[1,3,11,12,13], [1,3,12,13,14],[1,4,5,6,14],[1,4,5,13,14], [1,9,10,11,13],[1,9,10,11,14],[1,9,10,13,14], [1,9,11,13,14],[1,10,11,12,13],[1,10,12,13,14], [2,3,4,5,7],[2,3,4,5,14],[2,3,4,6,8],[2,3,4,7,8], [2,3,4,12,13],[2,3,4,12,14],[2,3,6,7,8], [2,3,11,12,13],[2,4,5,6,7],[2,4,5,6,14], [2,4,6,7,8],[2,4,12,13,14],[2,10,11,12,14], [2,11,12,13,14],[3,4,5,6,8],[3,4,5,7,9], [3,4,5,8,9],[3,4,5,13,14],[3,4,7,8,9], [3,4,12,13,14],[3,5,6,7,8],[3,5,7,8,9], [4,5,6,7,9],[4,5,6,8,10],[4,5,6,9,10], [4,5,8,9,10],[4,6,7,8,9],[4,6,8,9,10], [5,6,7,8,10],[5,6,7,9,11],[5,6,7,10,11], [5,6,9,10,11],[5,7,8,9,10],[5,7,9,10,11], [6,7,8,9,11],[6,7,8,10,12],[6,7,8,11,12], [6,7,10,11,12],[6,8,9,10,11],[6,8,10,11,12], [7,8,9,10,12],[7,8,9,11,13],[7,8,9,12,13], [7,8,11,12,13],[7,9,10,11,12],[7,9,11,12,13], [8,9,10,11,13],[8,9,10,12,14],[8,9,10,13,14], [8,9,12,13,14],[8,10,11,12,13],[8,10,12,13,14], [9,10,11,12,14],[9,11,12,13,14]] manifold_4_14_3_4=[[1,2,3,4,7],[1,2,3,4,12],[1,2,3,6,7], [1,2,3,6,14],[1,2,3,11,12],[1,2,3,11,14], [1,2,4,5,7],[1,2,4,5,13],[1,2,4,12,13], [1,2,5,6,7],[1,2,5,6,14],[1,2,5,13,14], [1,2,10,11,12],[1,2,10,11,14],[1,2,10,12,13], [1,2,10,13,14],[1,3,4,6,7],[1,3,4,6,14], [1,3,4,12,14],[1,3,11,12,14],[1,4,5,6,7], [1,4,5,6,14],[1,4,5,13,14],[1,4,12,13,14], [1,9,10,11,12],[1,9,10,11,14],[1,9,10,12,13], [1,9,10,13,14],[1,9,11,12,14],[1,9,12,13,14], [2,3,4,5,8],[2,3,4,5,13],[2,3,4,7,8], [2,3,4,12,13],[2,3,5,6,8],[2,3,5,6,14], [2,3,5,13,14],[2,3,6,7,8],[2,3,11,12,13], [2,3,11,13,14],[2,4,5,7,8],[2,5,6,7,8], [2,10,11,12,13],[2,10,11,13,14],[3,4,5,6,9], [3,4,5,6,14],[3,4,5,8,9],[3,4,5,13,14], [3,4,6,7,9],[3,4,7,8,9],[3,4,12,13,14], [3,5,6,8,9],[3,6,7,8,9],[3,11,12,13,14], [4,5,6,7,10],[4,5,6,9,10],[4,5,7,8,10], [4,5,8,9,10],[4,6,7,9,10],[4,7,8,9,10], [5,6,7,8,11],[5,6,7,10,11],[5,6,8,9,11], [5,6,9,10,11],[5,7,8,10,11],[5,8,9,10,11], [6,7,8,9,12],[6,7,8,11,12],[6,7,9,10,12], [6,7,10,11,12],[6,8,9,11,12],[6,9,10,11,12], [7,8,9,10,13],[7,8,9,12,13],[7,8,10,11,13], [7,8,11,12,13],[7,9,10,12,13],[7,10,11,12,13], [8,9,10,11,14],[8,9,10,13,14],[8,9,11,12,14], [8,9,12,13,14],[8,10,11,13,14],[8,11,12,13,14]] manifold_4_14_3_5=[[1,2,3,4,9],[1,2,3,4,10],[1,2,3,8,10], [1,2,3,8,14],[1,2,3,9,14],[1,2,4,9,10], [1,2,7,8,10],[1,2,7,8,13],[1,2,7,9,10], [1,2,7,9,14],[1,2,7,13,14],[1,2,8,13,14], [1,3,4,9,10],[1,3,8,9,10],[1,3,8,9,14], [1,6,7,8,9],[1,6,7,8,13],[1,6,7,9,14], [1,6,7,12,13],[1,6,7,12,14],[1,6,8,9,14], [1,6,8,13,14],[1,6,12,13,14],[1,7,8,9,10], [1,7,12,13,14],[2,3,4,5,10],[2,3,4,5,11], [2,3,4,9,11],[2,3,5,10,11],[2,3,8,9,11], [2,3,8,9,14],[2,3,8,10,11],[2,4,5,10,11], [2,4,9,10,11],[2,7,8,9,10],[2,7,8,9,14], [2,7,8,13,14],[2,8,9,10,11],[3,4,5,6,11], [3,4,5,6,12],[3,4,5,10,12],[3,4,6,11,12], [3,4,9,10,12],[3,4,9,11,12],[3,5,6,11,12], [3,5,10,11,12],[3,8,9,10,11],[3,9,10,11,12], [4,5,6,7,12],[4,5,6,7,13],[4,5,6,11,13], [4,5,7,12,13],[4,5,10,11,13],[4,5,10,12,13], [4,6,7,12,13],[4,6,11,12,13],[4,9,10,11,12], [4,10,11,12,13],[5,6,7,8,13],[5,6,7,8,14], [5,6,7,12,14],[5,6,8,13,14],[5,6,11,12,14], [5,6,11,13,14],[5,7,8,13,14],[5,7,12,13,14], [5,10,11,12,13],[5,11,12,13,14],[6,7,8,9,14], [6,11,12,13,14]] manifold_4_14_3_6=[[1,2,3,6,7],[1,2,3,6,8],[1,2,3,7,9], [1,2,3,8,10],[1,2,3,9,11],[1,2,3,10,12], [1,2,3,11,12],[1,2,5,6,7],[1,2,5,6,14], [1,2,5,7,14],[1,2,6,8,14],[1,2,7,9,14], [1,2,8,10,14],[1,2,9,11,14],[1,2,10,11,12], [1,2,10,11,14],[1,3,6,7,8],[1,3,7,8,9], [1,3,8,9,10],[1,3,9,10,11],[1,3,10,11,12], [1,4,5,6,13],[1,4,5,6,14],[1,4,5,13,14], [1,4,6,13,14],[1,5,6,7,13],[1,5,7,13,14], [1,6,7,8,13],[1,6,8,13,14],[1,7,8,9,13], [1,7,9,13,14],[1,8,9,10,13],[1,8,10,13,14], [1,9,10,11,14],[1,9,10,13,14],[2,3,4,7,8], [2,3,4,7,9],[2,3,4,8,10],[2,3,4,9,11], [2,3,4,10,12],[2,3,4,11,13],[2,3,4,12,13], [2,3,6,7,8],[2,3,11,12,13],[2,4,7,8,9], [2,4,8,9,10],[2,4,9,10,11],[2,4,10,11,12], [2,4,11,12,13],[2,5,6,7,14],[2,6,7,8,14], [2,7,8,9,14],[2,8,9,10,14],[2,9,10,11,14], [3,4,5,8,9],[3,4,5,8,10],[3,4,5,9,11], [3,4,5,10,12],[3,4,5,11,13],[3,4,5,12,14], [3,4,5,13,14],[3,4,7,8,9],[3,4,12,13,14], [3,5,8,9,10],[3,5,9,10,11],[3,5,10,11,12], [3,5,11,12,13],[3,5,12,13,14],[4,5,6,9,10], [4,5,6,9,11],[4,5,6,10,12],[4,5,6,11,13], [4,5,6,12,14],[4,5,8,9,10],[4,6,9,10,11], [4,6,10,11,12],[4,6,11,12,13],[4,6,12,13,14], [5,6,7,10,11],[5,6,7,10,12],[5,6,7,11,13], [5,6,7,12,14],[5,6,9,10,11],[5,7,10,11,12], [5,7,11,12,13],[5,7,12,13,14],[6,7,8,11,12], [6,7,8,11,13],[6,7,8,12,14],[6,7,10,11,12], [6,8,11,12,13],[6,8,12,13,14],[7,8,9,12,13], [7,8,9,12,14],[7,8,11,12,13],[7,9,12,13,14], [8,9,10,13,14],[8,9,12,13,14]] manifold_4_14_3_7=[[1,2,3,7,8],[1,2,3,7,9],[1,2,3,8,10], [1,2,3,9,11],[1,2,3,10,11],[1,2,6,7,8], [1,2,6,7,14],[1,2,6,8,14],[1,2,7,9,14], [1,2,8,10,14],[1,2,9,10,11],[1,2,9,10,14], [1,3,7,8,9],[1,3,8,9,10],[1,3,9,10,11], [1,5,6,7,13],[1,5,6,7,14],[1,5,6,13,14], [1,5,7,13,14],[1,6,7,8,13],[1,6,8,13,14], [1,7,8,9,13],[1,7,9,13,14],[1,8,9,10,14], [1,8,9,13,14],[2,3,4,8,9],[2,3,4,8,10], [2,3,4,9,11],[2,3,4,10,12],[2,3,4,11,12], [2,3,7,8,9],[2,3,10,11,12],[2,4,8,9,10], [2,4,9,10,11],[2,4,10,11,12],[2,6,7,8,14], [2,7,8,9,14],[2,8,9,10,14],[3,4,5,9,10], [3,4,5,9,11],[3,4,5,10,12],[3,4,5,11,13], [3,4,5,12,13],[3,4,8,9,10],[3,4,11,12,13], [3,5,9,10,11],[3,5,10,11,12],[3,5,11,12,13], [4,5,6,10,11],[4,5,6,10,12],[4,5,6,11,13], [4,5,6,12,14],[4,5,6,13,14],[4,5,9,10,11], [4,5,12,13,14],[4,6,10,11,12],[4,6,11,12,13], [4,6,12,13,14],[5,6,7,11,12],[5,6,7,11,13], [5,6,7,12,14],[5,6,10,11,12],[5,7,11,12,13], [5,7,12,13,14],[6,7,8,12,13],[6,7,8,12,14], [6,7,11,12,13],[6,8,12,13,14],[7,8,9,13,14], [7,8,12,13,14]] manifold_4_14_2_1=[[1,2,3,4,5],[1,2,3,4,14],[1,2,3,5,6], [1,2,3,6,8],[1,2,3,8,13],[1,2,3,13,14], [1,2,4,5,6],[1,2,4,6,11],[1,2,4,9,11], [1,2,4,9,14],[1,2,6,8,13],[1,2,6,11,13], [1,2,9,11,14],[1,2,11,12,13],[1,2,11,12,14], [1,2,12,13,14],[1,3,4,5,10],[1,3,4,8,10], [1,3,4,8,13],[1,3,4,13,14],[1,3,5,6,10], [1,3,6,7,8],[1,3,6,7,10],[1,3,7,8,10], [1,4,5,6,13],[1,4,5,8,10],[1,4,5,8,13], [1,4,6,11,14],[1,4,6,13,14],[1,4,9,11,14], [1,5,6,8,10],[1,5,6,8,13],[1,6,7,8,10], [1,6,11,13,14],[1,11,12,13,14],[2,3,4,5,6], [2,3,4,6,11],[2,3,4,11,13],[2,3,4,13,14], [2,3,6,8,13],[2,3,6,11,13],[2,4,9,11,12], [2,4,9,12,13],[2,4,9,13,14],[2,4,11,12,13], [2,7,9,10,11],[2,7,9,10,14],[2,7,9,11,12], [2,7,9,12,13],[2,7,9,13,14],[2,7,10,11,14], [2,7,11,12,14],[2,7,12,13,14],[2,9,10,11,14], [3,4,5,6,7],[3,4,5,7,8],[3,4,5,8,10],[3,4,6,7,8], [3,4,6,8,13],[3,4,6,11,13],[3,5,6,7,12], [3,5,6,10,12],[3,5,7,8,12],[3,5,8,9,10], [3,5,8,9,12],[3,5,9,10,12],[3,6,7,10,12], [3,7,8,10,12],[3,8,9,10,12],[4,5,6,7,8], [4,5,6,8,13],[4,6,11,13,14],[4,9,11,12,13], [4,9,11,13,14],[5,6,7,8,9],[5,6,7,9,10], [5,6,7,10,12],[5,6,8,9,10],[5,7,8,9,14], [5,7,8,12,14],[5,7,9,10,14],[5,7,10,11,12], [5,7,10,11,14],[5,7,11,12,14],[5,8,9,12,14], [5,9,10,12,14],[5,10,11,12,14],[6,7,8,9,10], [7,8,9,10,11],[7,8,9,11,12],[7,8,9,12,14], [7,8,10,11,12],[7,9,12,13,14],[8,9,10,11,12], [9,10,11,12,13],[9,10,11,13,14],[9,10,12,13,14], [10,11,12,13,14]] manifold_4_14_2_2=[[1,2,3,4,5],[1,2,3,4,14],[1,2,3,5,6], [1,2,3,6,11],[1,2,3,11,13],[1,2,3,13,14], [1,2,4,5,6],[1,2,4,6,14],[1,2,6,11,14], [1,2,11,12,13],[1,2,11,12,14],[1,2,12,13,14], [1,3,4,5,13],[1,3,4,13,14],[1,3,5,6,7], [1,3,5,7,10],[1,3,5,8,10],[1,3,5,8,13], [1,3,6,7,10],[1,3,6,8,10],[1,3,6,8,13], [1,3,6,11,13],[1,4,5,6,10],[1,4,5,8,10], [1,4,5,8,13],[1,4,6,8,10],[1,4,6,8,13], [1,4,6,11,13],[1,4,6,11,14],[1,4,9,11,13], [1,4,9,11,14],[1,4,9,13,14],[1,5,6,7,10], [1,9,11,13,14],[1,11,12,13,14],[2,3,4,5,6], [2,3,4,6,8],[2,3,4,8,13],[2,3,4,13,14], [2,3,6,8,13],[2,3,6,11,13],[2,4,6,8,13], [2,4,6,11,13],[2,4,6,11,14],[2,4,9,11,13], [2,4,9,11,14],[2,4,9,12,13],[2,4,9,12,14], [2,4,12,13,14],[2,7,9,11,13],[2,7,9,11,14], [2,7,9,12,13],[2,7,9,12,14],[2,7,10,11,12], [2,7,10,11,14],[2,7,10,12,14],[2,7,11,12,13], [2,10,11,12,14],[3,4,5,6,7],[3,4,5,7,8], [3,4,5,8,13],[3,4,6,7,8],[3,5,7,8,9], [3,5,7,9,12],[3,5,7,10,12],[3,5,8,9,12], [3,5,8,10,12],[3,6,7,8,12],[3,6,7,10,12], [3,6,8,10,12],[3,7,8,9,12],[4,5,6,7,8], [4,5,6,8,10],[4,9,12,13,14],[5,6,7,8,9], [5,6,7,9,10],[5,6,8,9,10],[5,7,9,10,11], [5,7,9,11,14],[5,7,9,12,14],[5,7,10,11,14], [5,7,10,12,14],[5,8,9,10,14],[5,8,9,12,14], [5,8,10,12,14],[5,9,10,11,14],[6,7,8,9,10], [6,7,8,10,12],[7,8,9,10,11],[7,8,9,11,12], [7,8,10,11,12],[7,9,11,12,13],[8,9,10,11,12], [8,9,10,12,14],[9,10,11,12,13],[9,10,11,13,14], [9,10,12,13,14],[10,11,12,13,14]] manifold_4_14_2_3=[[1,2,3,4,5],[1,2,3,4,14],[1,2,3,5,8], [1,2,3,6,7],[1,2,3,6,13],[1,2,3,7,8], [1,2,3,13,14],[1,2,4,5,13],[1,2,4,11,12], [1,2,4,11,14],[1,2,4,12,13],[1,2,5,6,8], [1,2,5,6,13],[1,2,6,7,8],[1,2,9,10,11], [1,2,9,10,14],[1,2,9,11,12],[1,2,9,12,14], [1,2,10,11,14],[1,2,12,13,14],[1,3,4,5,8], [1,3,4,6,7],[1,3,4,6,14],[1,3,4,7,8], [1,3,6,13,14],[1,4,5,6,8],[1,4,5,6,14], [1,4,5,13,14],[1,4,6,7,8],[1,4,11,12,13], [1,4,11,13,14],[1,5,6,13,14],[1,9,10,11,14], [1,9,11,12,14],[1,11,12,13,14],[2,3,4,5,6], [2,3,4,6,13],[2,3,4,11,12],[2,3,4,11,14], [2,3,4,12,13],[2,3,5,6,8],[2,3,6,7,8], [2,3,11,12,13],[2,3,11,13,14],[2,4,5,6,13], [2,9,10,11,13],[2,9,10,13,14],[2,9,11,12,13], [2,9,12,13,14],[2,10,11,13,14],[3,4,5,6,7], [3,4,5,7,10],[3,4,5,8,9],[3,4,5,9,10], [3,4,6,13,14],[3,4,7,8,10],[3,4,8,9,10], [3,4,11,12,13],[3,4,11,13,14],[3,5,6,7,10], [3,5,6,8,9],[3,5,6,9,10],[3,6,7,8,10], [3,6,8,9,10],[4,5,6,7,8],[4,5,6,13,14], [4,5,7,8,10],[4,5,8,9,10],[5,6,7,8,9], [5,6,7,9,12],[5,6,7,10,11],[5,6,7,11,12], [5,6,9,10,12],[5,6,10,11,12],[5,7,8,9,12], [5,7,8,10,11],[5,7,8,11,12],[5,8,9,10,12], [5,8,10,11,12],[6,7,8,9,10],[6,7,9,10,12], [6,7,10,11,12],[7,8,9,10,11],[7,8,9,11,14], [7,8,9,12,13],[7,8,9,13,14],[7,8,11,12,14], [7,8,12,13,14],[7,9,10,11,14],[7,9,10,12,13], [7,9,10,13,14],[7,10,11,12,14],[7,10,12,13,14], [8,9,10,11,12],[8,9,11,12,14],[8,9,12,13,14], [9,10,11,12,13],[10,11,12,13,14]] manifold_4_14_2_4=[[1,2,3,4,5],[1,2,3,4,14],[1,2,3,5,8], [1,2,3,6,8],[1,2,3,6,13],[1,2,3,13,14], [1,2,4,5,13],[1,2,4,9,11],[1,2,4,9,12], [1,2,4,11,14],[1,2,4,12,13],[1,2,5,8,13], [1,2,6,8,13],[1,2,9,11,14],[1,2,9,12,14], [1,2,12,13,14],[1,3,4,5,8],[1,3,4,6,7], [1,3,4,6,14],[1,3,4,7,10],[1,3,4,8,10], [1,3,6,7,8],[1,3,6,13,14],[1,3,7,8,10], [1,4,5,6,8],[1,4,5,6,13],[1,4,6,7,8], [1,4,6,13,14],[1,4,7,8,10],[1,4,9,11,12], [1,4,11,12,13],[1,4,11,13,14],[1,5,6,8,13], [1,9,11,12,14],[1,11,12,13,14],[2,3,4,5,6], [2,3,4,6,13],[2,3,4,11,13],[2,3,4,11,14], [2,3,5,6,8],[2,3,11,13,14],[2,4,5,6,13], [2,4,9,11,12],[2,4,11,12,13],[2,5,6,8,13], [2,7,9,10,13],[2,7,9,10,14],[2,7,9,13,14], [2,7,10,13,14],[2,9,10,11,13],[2,9,10,11,14], [2,9,11,12,13],[2,9,12,13,14],[2,10,11,13,14], [3,4,5,6,7],[3,4,5,7,10],[3,4,5,8,10], [3,4,6,11,13],[3,4,6,11,14],[3,5,6,7,10], [3,5,6,8,9],[3,5,6,9,12],[3,5,6,10,12], [3,5,8,9,10],[3,5,9,10,12],[3,6,7,8,10], [3,6,8,9,10],[3,6,9,10,12],[3,6,11,13,14], [4,5,6,7,8],[4,5,7,8,10],[4,6,11,13,14], [5,6,7,8,9],[5,6,7,9,12],[5,6,7,10,12], [5,7,8,9,12],[5,7,8,10,11],[5,7,8,11,14], [5,7,8,12,14],[5,7,10,11,12],[5,7,11,12,14], [5,8,9,10,12],[5,8,10,11,12],[5,8,11,12,14], [6,7,8,9,10],[6,7,9,10,12],[7,8,9,10,11], [7,8,9,11,14],[7,8,9,12,14],[7,9,10,11,14], [7,9,10,12,13],[7,9,12,13,14],[7,10,11,12,14], [7,10,12,13,14],[8,9,10,11,12],[8,9,11,12,14], [9,10,11,12,13],[10,11,12,13,14]] manifold_4_14_2_5=[[1,2,3,4,5],[1,2,3,4,14],[1,2,3,5,8], [1,2,3,6,8],[1,2,3,6,13],[1,2,3,13,14], [1,2,4,5,13],[1,2,4,11,12],[1,2,4,11,14], [1,2,4,12,13],[1,2,5,6,8],[1,2,5,6,13], [1,2,9,11,12],[1,2,9,11,14],[1,2,9,12,14], [1,2,12,13,14],[1,3,4,5,8],[1,3,4,6,7], [1,3,4,6,14],[1,3,4,7,8],[1,3,6,7,8], [1,3,6,13,14],[1,4,5,6,8],[1,4,5,6,13], [1,4,6,7,8],[1,4,6,13,14],[1,4,11,12,13], [1,4,11,13,14],[1,9,11,12,14],[1,11,12,13,14], [2,3,4,5,6],[2,3,4,6,13],[2,3,4,11,13], [2,3,4,11,14],[2,3,5,6,8],[2,3,11,13,14], [2,4,5,6,13],[2,4,11,12,13],[2,9,10,11,13], [2,9,10,11,14],[2,9,10,13,14],[2,9,11,12,13], [2,9,12,13,14],[2,10,11,13,14],[3,4,5,6,7], [3,4,5,7,10],[3,4,5,8,10],[3,4,6,13,14], [3,4,7,8,10],[3,4,11,13,14],[3,5,6,7,10], [3,5,6,8,9],[3,5,6,9,10],[3,5,8,9,10], [3,6,7,8,10],[3,6,8,9,10],[4,5,6,7,8], [4,5,7,8,10],[5,6,7,8,9],[5,6,7,9,12], [5,6,7,10,12],[5,6,9,10,12],[5,7,8,9,12], [5,7,8,10,11],[5,7,8,11,12],[5,7,10,11,12], [5,8,9,10,12],[5,8,10,11,12],[6,7,8,9,10], [6,7,9,10,12],[7,8,9,10,11],[7,8,9,11,14], [7,8,9,12,14],[7,8,11,12,14],[7,9,10,11,14], [7,9,10,12,13],[7,9,10,13,14],[7,9,12,13,14], [7,10,11,12,14],[7,10,12,13,14],[8,9,10,11,12], [8,9,11,12,14],[9,10,11,12,13],[10,11,12,13,14]] manifold_4_14_2_6=[[1,2,3,4,5],[1,2,3,4,14],[1,2,3,5,8], [1,2,3,8,13],[1,2,3,13,14],[1,2,4,5,8], [1,2,4,8,13],[1,2,4,9,13],[1,2,4,9,14], [1,2,9,12,13],[1,2,9,12,14],[1,2,12,13,14], [1,3,4,5,10],[1,3,4,6,10],[1,3,4,6,11], [1,3,4,11,14],[1,3,5,8,10],[1,3,6,8,10], [1,3,6,8,13],[1,3,6,11,14],[1,3,6,13,14], [1,4,5,7,8],[1,4,5,7,10],[1,4,6,7,8], [1,4,6,7,10],[1,4,6,8,13],[1,4,6,11,13], [1,4,9,12,13],[1,4,9,12,14],[1,4,11,12,13], [1,4,11,12,14],[1,5,7,8,10],[1,6,7,8,10], [1,6,11,13,14],[1,11,12,13,14],[2,3,4,5,6], [2,3,4,6,11],[2,3,4,11,14],[2,3,5,6,13], [2,3,5,8,13],[2,3,6,11,14],[2,3,6,13,14], [2,4,5,6,13],[2,4,5,8,13],[2,4,6,11,13], [2,4,9,11,13],[2,4,9,11,14],[2,6,11,13,14], [2,7,9,10,11],[2,7,9,10,12],[2,7,9,11,14], [2,7,9,12,14],[2,7,10,11,13],[2,7,10,12,13], [2,7,11,13,14],[2,7,12,13,14],[2,9,10,11,13], [2,9,10,12,13],[3,4,5,6,7],[3,4,5,7,10], [3,4,6,7,10],[3,5,6,7,12],[3,5,6,8,12], [3,5,6,8,13],[3,5,7,10,12],[3,5,8,10,12], [3,6,7,9,10],[3,6,7,9,12],[3,6,8,9,10], [3,6,8,9,12],[3,7,9,10,12],[3,8,9,10,12], [4,5,6,7,8],[4,5,6,8,13],[4,9,11,12,13], [4,9,11,12,14],[5,6,7,8,9],[5,6,7,9,12], [5,6,8,9,12],[5,7,8,9,14],[5,7,8,10,14], [5,7,9,12,14],[5,7,10,12,14],[5,8,9,11,12], [5,8,9,11,14],[5,8,10,11,12],[5,8,10,11,14], [5,9,11,12,14],[5,10,11,12,14],[6,7,8,9,10], [7,8,9,10,11],[7,8,9,11,14],[7,8,10,11,14], [7,10,11,13,14],[7,10,12,13,14],[8,9,10,11,12], [9,10,11,12,13],[10,11,12,13,14]] manifold_4_14_2_7=[[1,2,3,4,5],[1,2,3,4,14],[1,2,3,5,13], [1,2,3,13,14],[1,2,4,5,7],[1,2,4,6,8], [1,2,4,6,13],[1,2,4,7,8],[1,2,4,11,12], [1,2,4,11,13],[1,2,4,12,14],[1,2,5,6,8], [1,2,5,6,13],[1,2,5,7,8],[1,2,9,10,12], [1,2,9,10,13],[1,2,9,11,12],[1,2,9,11,13], [1,2,10,12,13],[1,2,12,13,14],[1,3,4,5,7], [1,3,4,6,8],[1,3,4,6,13],[1,3,4,7,8], [1,3,4,11,12],[1,3,4,11,13],[1,3,4,12,14], [1,3,5,6,8],[1,3,5,6,13],[1,3,5,7,8], [1,3,11,12,14],[1,3,11,13,14],[1,9,10,12,13], [1,9,11,12,13],[1,11,12,13,14],[2,3,4,5,6], [2,3,4,6,14],[2,3,5,6,14],[2,3,5,13,14], [2,4,5,6,8],[2,4,5,7,8],[2,4,6,13,14], [2,4,11,12,14],[2,4,11,13,14],[2,5,6,13,14], [2,9,10,12,14],[2,9,10,13,14],[2,9,11,12,14], [2,9,11,13,14],[2,10,12,13,14],[3,4,5,6,7], [3,4,6,7,9],[3,4,6,8,10],[3,4,6,9,10], [3,4,6,13,14],[3,4,7,8,10],[3,4,7,9,10], [3,4,11,12,14],[3,4,11,13,14],[3,5,6,7,9], [3,5,6,8,10],[3,5,6,9,10],[3,5,6,13,14], [3,5,7,8,10],[3,5,7,9,10],[4,5,6,7,8], [4,6,7,8,10],[4,6,7,9,10],[5,6,7,8,9], [5,6,8,9,11],[5,6,8,10,12],[5,6,8,11,12], [5,6,9,10,12],[5,6,9,11,12],[5,7,8,9,11], [5,7,8,10,12],[5,7,8,11,12],[5,7,9,10,12], [5,7,9,11,12],[6,7,8,9,10],[6,8,9,10,12], [6,8,9,11,12],[7,8,9,10,11],[7,8,10,11,13], [7,8,10,12,14],[7,8,10,13,14],[7,8,11,12,14], [7,8,11,13,14],[7,9,10,11,13],[7,9,10,12,14], [7,9,10,13,14],[7,9,11,12,14],[7,9,11,13,14], [8,9,10,11,12],[8,10,11,12,14],[8,10,11,13,14], [9,10,11,12,13],[10,11,12,13,14]] manifold_4_14_2_8=[[1,2,3,4,5],[1,2,3,4,14],[1,2,3,5,13], [1,2,3,13,14],[1,2,4,5,7],[1,2,4,7,12], [1,2,4,12,14],[1,2,5,7,12],[1,2,5,10,12], [1,2,5,10,13],[1,2,10,12,13],[1,2,12,13,14], [1,3,4,5,7],[1,3,4,7,12],[1,3,4,12,14], [1,3,5,7,12],[1,3,5,10,12],[1,3,5,10,13], [1,3,8,10,12],[1,3,8,10,13],[1,3,8,11,12], [1,3,8,11,13],[1,3,11,12,14],[1,3,11,13,14], [1,6,8,10,12],[1,6,8,10,13],[1,6,8,11,12], [1,6,8,11,13],[1,6,9,10,12],[1,6,9,10,13], [1,6,9,11,12],[1,6,9,11,13],[1,9,10,12,13], [1,9,11,12,13],[1,11,12,13,14],[2,3,4,5,6], [2,3,4,6,14],[2,3,5,6,14],[2,3,5,13,14], [2,4,5,6,8],[2,4,5,7,8],[2,4,6,8,11], [2,4,6,9,11],[2,4,6,9,14],[2,4,7,8,11], [2,4,7,9,11],[2,4,7,9,14],[2,4,7,12,14], [2,5,6,8,11],[2,5,6,9,11],[2,5,6,9,14], [2,5,7,8,11],[2,5,7,9,11],[2,5,7,9,14], [2,5,7,12,14],[2,5,10,12,14],[2,5,10,13,14], [2,10,12,13,14],[3,4,5,6,7],[3,4,6,7,9], [3,4,6,9,14],[3,4,7,9,14],[3,4,7,12,14], [3,5,6,7,9],[3,5,6,9,14],[3,5,7,9,14], [3,5,7,12,14],[3,5,10,12,14],[3,5,10,13,14], [3,8,10,12,14],[3,8,10,13,14],[3,8,11,12,14], [3,8,11,13,14],[4,5,6,7,8],[4,6,7,8,10], [4,6,7,9,10],[4,6,8,10,13],[4,6,8,11,13], [4,6,9,10,13],[4,6,9,11,13],[4,7,8,10,13], [4,7,8,11,13],[4,7,9,10,13],[4,7,9,11,13], [5,6,7,8,9],[5,6,8,9,11],[5,7,8,9,11], [6,7,8,9,10],[6,8,9,10,12],[6,8,9,11,12], [7,8,9,10,11],[7,8,10,11,13],[7,9,10,11,13], [8,9,10,11,12],[8,10,11,12,14],[8,10,11,13,14], [9,10,11,12,13],[10,11,12,13,14]] manifold_4_14_2_9=[[1,2,3,4,7],[1,2,3,4,12],[1,2,3,5,7], [1,2,3,5,13],[1,2,3,12,13],[1,2,4,5,8], [1,2,4,5,14],[1,2,4,7,8],[1,2,4,12,14], [1,2,5,7,8],[1,2,5,13,14],[1,2,9,10,12], [1,2,9,10,13],[1,2,9,12,13],[1,2,10,12,14], [1,2,10,13,14],[1,3,4,5,7],[1,3,4,5,14], [1,3,4,11,12],[1,3,4,11,14],[1,3,5,13,14], [1,3,11,12,13],[1,3,11,13,14],[1,4,5,7,8], [1,4,11,12,14],[1,9,10,11,12],[1,9,10,11,13], [1,9,11,12,13],[1,10,11,12,14],[1,10,11,13,14], [2,3,4,6,7],[2,3,4,6,14],[2,3,4,12,14], [2,3,5,6,7],[2,3,5,6,13],[2,3,6,13,14], [2,3,12,13,14],[2,4,5,6,8],[2,4,5,6,14], [2,4,6,7,8],[2,5,6,7,8],[2,5,6,13,14], [2,9,10,12,13],[2,10,12,13,14],[3,4,5,6,9], [3,4,5,6,14],[3,4,5,7,9],[3,4,6,7,10], [3,4,6,9,10],[3,4,7,9,10],[3,4,11,12,14], [3,5,6,7,9],[3,5,6,13,14],[3,6,7,9,10], [3,11,12,13,14],[4,5,6,8,9],[4,5,7,8,9], [4,6,7,8,10],[4,6,8,9,10],[4,7,8,9,10], [5,6,7,8,11],[5,6,7,9,11],[5,6,8,9,12], [5,6,8,11,12],[5,6,9,11,12],[5,7,8,9,11], [5,8,9,11,12],[6,7,8,10,11],[6,7,9,10,11], [6,8,9,10,12],[6,8,10,11,12],[6,9,10,11,12], [7,8,9,10,13],[7,8,9,11,13],[7,8,10,11,14], [7,8,10,13,14],[7,8,11,13,14],[7,9,10,11,13], [7,10,11,13,14],[8,9,10,12,13],[8,9,11,12,13], [8,10,11,12,14],[8,10,12,13,14],[8,11,12,13,14]] manifold_4_14_2_10=[[1,2,3,4,7],[1,2,3,4,12],[1,2,3,6,7], [1,2,3,6,14],[1,2,3,10,11],[1,2,3,10,12], [1,2,3,11,14],[1,2,4,5,7],[1,2,4,5,13], [1,2,4,12,13],[1,2,5,7,14],[1,2,5,13,14], [1,2,6,7,14],[1,2,10,11,14],[1,2,10,12,13], [1,2,10,13,14],[1,3,4,6,7],[1,3,4,6,14], [1,3,4,12,14],[1,3,10,11,12],[1,3,11,12,14], [1,4,5,6,7],[1,4,5,6,14],[1,4,5,13,14], [1,4,12,13,14],[1,5,6,7,14],[1,8,9,10,13], [1,8,9,10,14],[1,8,9,13,14],[1,8,10,13,14], [1,9,10,11,12],[1,9,10,11,14],[1,9,10,12,13], [1,9,11,12,14],[1,9,12,13,14],[2,3,4,5,8], [2,3,4,5,13],[2,3,4,7,9],[2,3,4,8,9], [2,3,4,12,13],[2,3,5,6,8],[2,3,5,6,14], [2,3,5,13,14],[2,3,6,7,8],[2,3,7,8,9], [2,3,10,11,12],[2,3,11,12,13],[2,3,11,13,14], [2,4,5,7,8],[2,4,7,8,9],[2,5,6,7,8],[2,5,6,7,14], [2,10,11,12,13],[2,10,11,13,14],[3,4,5,6,9], [3,4,5,6,14],[3,4,5,8,9],[3,4,5,12,13], [3,4,5,12,14],[3,4,6,7,9],[3,5,6,8,9], [3,5,12,13,14],[3,6,7,8,9],[3,11,12,13,14], [4,5,6,7,10],[4,5,6,9,11],[4,5,6,10,11], [4,5,7,8,10],[4,5,8,9,10],[4,5,9,10,11], [4,5,12,13,14],[4,6,7,9,10],[4,6,9,10,11], [4,7,8,9,10],[5,6,7,8,11],[5,6,7,10,11], [5,6,8,9,11],[5,7,8,10,11],[5,8,9,10,11], [6,7,8,9,12],[6,7,8,11,13],[6,7,8,12,13], [6,7,9,10,12],[6,7,10,11,12],[6,7,11,12,13], [6,8,9,11,12],[6,8,11,12,13],[6,9,10,11,12], [7,8,9,10,13],[7,8,9,12,13],[7,8,10,11,13], [7,9,10,12,13],[7,10,11,12,13],[8,9,10,11,14], [8,9,11,12,14],[8,9,12,13,14],[8,10,11,13,14], [8,11,12,13,14]] manifold_4_14_2_11=[[1,2,3,4,7],[1,2,3,4,12],[1,2,3,6,7], [1,2,3,6,14],[1,2,3,11,12],[1,2,3,11,14], [1,2,4,5,7],[1,2,4,5,12],[1,2,5,6,7], [1,2,5,6,14],[1,2,5,12,13],[1,2,5,13,14], [1,2,10,11,12],[1,2,10,11,14],[1,2,10,12,13], [1,2,10,13,14],[1,3,4,7,14],[1,3,4,12,14], [1,3,6,7,14],[1,3,11,12,14],[1,4,5,6,7], [1,4,5,6,14],[1,4,5,12,13],[1,4,5,13,14], [1,4,6,7,14],[1,4,12,13,14],[1,8,9,11,12], [1,8,9,11,14],[1,8,9,12,14],[1,8,11,12,14], [1,9,10,11,12],[1,9,10,11,14],[1,9,10,12,13], [1,9,10,13,14],[1,9,12,13,14],[2,3,4,5,8], [2,3,4,5,13],[2,3,4,7,8],[2,3,4,12,13], [2,3,5,6,9],[2,3,5,6,14],[2,3,5,8,9], [2,3,5,13,14],[2,3,6,7,8],[2,3,6,8,9], [2,3,10,11,13],[2,3,10,11,14],[2,3,10,13,14], [2,3,11,12,13],[2,4,5,7,8],[2,4,5,12,13], [2,5,6,7,8],[2,5,6,8,9],[2,10,11,12,13], [3,4,5,6,9],[3,4,5,6,14],[3,4,5,8,9], [3,4,5,13,14],[3,4,6,7,9],[3,4,6,7,14], [3,4,7,8,9],[3,4,12,13,14],[3,6,7,8,9], [3,10,11,13,14],[3,11,12,13,14],[4,5,6,7,10], [4,5,6,9,10],[4,5,7,8,11],[4,5,7,10,11], [4,5,8,9,10],[4,5,8,10,11],[4,6,7,9,10], [4,7,8,9,10],[4,7,8,10,11],[5,6,7,8,11], [5,6,7,10,11],[5,6,8,9,11],[5,6,9,10,11], [5,8,9,10,11],[6,7,8,9,12],[6,7,8,11,12], [6,7,9,10,13],[6,7,9,12,13],[6,7,10,11,12], [6,7,10,12,13],[6,8,9,11,12],[6,9,10,11,12], [6,9,10,12,13],[7,8,9,10,13],[7,8,9,12,13], [7,8,10,11,13],[7,8,11,12,13],[7,10,11,12,13], [8,9,10,11,14],[8,9,10,13,14],[8,9,12,13,14], [8,10,11,13,14],[8,11,12,13,14]] manifold_4_14_1_1=[[1,2,3,4,6],[1,2,3,4,12],[1,2,3,5,6], [1,2,3,5,14],[1,2,3,11,12],[1,2,3,11,14], [1,2,4,5,7],[1,2,4,5,14],[1,2,4,6,7], [1,2,4,12,13],[1,2,4,13,14],[1,2,5,6,7], [1,2,10,11,13],[1,2,10,11,14],[1,2,10,13,14], [1,2,11,12,13],[1,3,4,6,14],[1,3,4,12,13], [1,3,4,13,14],[1,3,5,6,14],[1,3,11,12,14], [1,3,12,13,14],[1,4,5,6,7],[1,4,5,6,14], [1,9,10,12,13],[1,9,10,12,14],[1,9,10,13,14], [1,9,12,13,14],[1,10,11,12,13],[1,10,11,12,14], [2,3,4,5,7],[2,3,4,5,13],[2,3,4,6,7], [2,3,4,12,13],[2,3,5,6,8],[2,3,5,7,8], [2,3,5,13,14],[2,3,6,7,8],[2,3,11,12,14], [2,3,12,13,14],[2,4,5,13,14],[2,5,6,7,8], [2,10,11,13,14],[2,11,12,13,14],[3,4,5,6,8], [3,4,5,6,14],[3,4,5,7,8],[3,4,5,13,14], [3,4,6,7,9],[3,4,6,8,9],[3,4,7,8,9],[3,6,7,8,9], [4,5,6,7,9],[4,5,6,8,9],[4,5,7,8,10], [4,5,7,9,10],[4,5,8,9,10],[4,7,8,9,10], [5,6,7,8,10],[5,6,7,9,10],[5,6,8,9,11], [5,6,8,10,11],[5,6,9,10,11],[5,8,9,10,11], [6,7,8,9,11],[6,7,8,10,11],[6,7,9,10,12], [6,7,9,11,12],[6,7,10,11,12],[6,9,10,11,12], [7,8,9,10,12],[7,8,9,11,12],[7,8,10,11,13], [7,8,10,12,13],[7,8,11,12,13],[7,10,11,12,13], [8,9,10,11,13],[8,9,10,12,13],[8,9,11,12,14], [8,9,11,13,14],[8,9,12,13,14],[8,11,12,13,14], [9,10,11,12,14],[9,10,11,13,14]] manifold_4_14_1_2=[[1,2,3,4,8],[1,2,3,4,9],[1,2,3,7,9], [1,2,3,7,14],[1,2,3,8,14],[1,2,4,8,10], [1,2,4,9,10],[1,2,6,8,13],[1,2,6,8,14], [1,2,6,13,14],[1,2,7,8,10],[1,2,7,8,13], [1,2,7,9,10],[1,2,7,13,14],[1,3,4,8,10], [1,3,4,9,10],[1,3,7,9,14],[1,3,8,9,11], [1,3,8,9,14],[1,3,8,10,11],[1,3,9,10,11], [1,5,7,12,13],[1,5,7,12,14],[1,5,7,13,14], [1,5,12,13,14],[1,6,7,9,13],[1,6,7,9,14], [1,6,7,12,13],[1,6,7,12,14],[1,6,8,9,13], [1,6,8,9,14],[1,6,12,13,14],[1,7,8,9,10], [1,7,8,9,13],[1,8,9,10,11],[2,3,4,5,9], [2,3,4,5,10],[2,3,4,8,10],[2,3,5,9,11], [2,3,5,10,11],[2,3,7,9,14],[2,3,8,9,11], [2,3,8,9,14],[2,3,8,10,11],[2,4,5,9,11], [2,4,5,10,11],[2,4,9,10,12],[2,4,9,11,12], [2,4,10,11,12],[2,6,8,13,14],[2,7,8,10,14], [2,7,8,13,14],[2,7,9,10,14],[2,8,9,10,11], [2,8,9,10,14],[2,9,10,11,12],[3,4,5,6,10], [3,4,5,6,11],[3,4,5,9,11],[3,4,6,10,12], [3,4,6,11,12],[3,4,9,10,12],[3,4,9,11,12], [3,5,6,10,12],[3,5,6,11,12],[3,5,10,11,13], [3,5,10,12,13],[3,5,11,12,13],[3,9,10,11,12], [3,10,11,12,13],[4,5,6,7,11],[4,5,6,7,12], [4,5,6,10,12],[4,5,7,11,13],[4,5,7,12,13], [4,5,10,11,13],[4,5,10,12,13],[4,6,7,11,13], [4,6,7,12,13],[4,6,11,12,14],[4,6,11,13,14], [4,6,12,13,14],[4,10,11,12,13],[4,11,12,13,14], [5,6,7,8,12],[5,6,7,8,13],[5,6,7,11,13], [5,6,8,12,14],[5,6,8,13,14],[5,6,11,12,14], [5,6,11,13,14],[5,7,8,12,14],[5,7,8,13,14], [5,11,12,13,14],[6,7,8,9,13],[6,7,8,9,14], [6,7,8,12,14],[7,8,9,10,14]] manifold_4_14_1_3=[[1,2,3,4,8],[1,2,3,4,10],[1,2,3,7,8], [1,2,3,7,14],[1,2,3,9,11],[1,2,3,9,14], [1,2,3,10,11],[1,2,4,8,10],[1,2,6,7,8], [1,2,6,7,14],[1,2,6,8,13],[1,2,6,13,14], [1,2,8,10,14],[1,2,8,13,14],[1,2,9,10,11], [1,2,9,10,14],[1,3,4,8,10],[1,3,7,8,9], [1,3,7,9,14],[1,3,8,9,11],[1,3,8,10,11], [1,5,6,7,13],[1,5,6,7,14],[1,5,6,13,14], [1,5,7,12,13],[1,5,7,12,14],[1,5,12,13,14], [1,6,7,8,9],[1,6,7,9,13],[1,6,8,9,13], [1,7,9,13,14],[1,7,12,13,14],[1,8,9,10,11], [1,8,9,10,14],[1,8,9,13,14],[2,3,4,5,9], [2,3,4,5,11],[2,3,4,8,9],[2,3,4,10,12], [2,3,4,11,12],[2,3,5,9,11],[2,3,7,8,9], [2,3,7,9,14],[2,3,10,11,12],[2,4,5,9,11], [2,4,8,9,10],[2,4,9,10,12],[2,4,9,11,12], [2,6,7,8,14],[2,6,8,13,14],[2,7,8,9,10], [2,7,8,10,14],[2,7,9,10,14],[2,9,10,11,12], [3,4,5,6,10],[3,4,5,6,12],[3,4,5,9,10], [3,4,5,11,13],[3,4,5,12,13],[3,4,6,10,12], [3,4,8,9,10],[3,4,11,12,13],[3,5,6,10,12], [3,5,9,10,11],[3,5,10,11,13],[3,5,10,12,13], [3,8,9,10,11],[3,10,11,12,13],[4,5,6,7,11], [4,5,6,7,13],[4,5,6,10,11],[4,5,6,12,14], [4,5,6,13,14],[4,5,7,11,13],[4,5,9,10,11], [4,5,12,13,14],[4,6,7,11,13],[4,6,10,11,12], [4,6,11,12,14],[4,6,11,13,14],[4,9,10,11,12], [4,11,12,13,14],[5,6,7,8,12],[5,6,7,8,14], [5,6,7,11,12],[5,6,8,12,14],[5,6,10,11,12], [5,7,8,12,14],[5,7,11,12,13],[5,10,11,12,13], [6,7,8,9,13],[6,7,8,12,13],[6,7,11,12,13], [6,8,12,13,14],[6,11,12,13,14],[7,8,9,10,14], [7,8,9,13,14],[7,8,12,13,14]] manifold_4_14_1_4=[[1,2,3,4,9],[1,2,3,4,10],[1,2,3,7,8], [1,2,3,7,10],[1,2,3,8,14],[1,2,3,9,14], [1,2,4,9,11],[1,2,4,10,11],[1,2,6,7,9], [1,2,6,7,14],[1,2,6,9,14],[1,2,7,8,13], [1,2,7,9,10],[1,2,7,13,14],[1,2,8,13,14], [1,2,9,10,11],[1,3,4,9,10],[1,3,7,8,10], [1,3,8,10,14],[1,3,9,10,14],[1,4,9,10,11], [1,5,6,8,13],[1,5,6,8,14],[1,5,6,13,14], [1,5,8,13,14],[1,6,7,8,9],[1,6,7,8,12], [1,6,7,12,14],[1,6,8,9,14],[1,6,8,12,13], [1,6,12,13,14],[1,7,8,9,10],[1,7,8,12,13], [1,7,12,13,14],[1,8,9,10,14],[2,3,4,5,10], [2,3,4,5,11],[2,3,4,8,9],[2,3,4,8,11], [2,3,5,10,12],[2,3,5,11,12],[2,3,7,8,10], [2,3,8,9,14],[2,3,8,10,11],[2,3,10,11,12], [2,4,5,10,11],[2,4,8,9,11],[2,5,10,11,12], [2,6,7,9,14],[2,7,8,9,10],[2,7,8,9,13], [2,7,9,13,14],[2,8,9,10,11],[2,8,9,13,14], [3,4,5,6,11],[3,4,5,6,12],[3,4,5,9,10], [3,4,5,9,12],[3,4,6,11,13],[3,4,6,12,13], [3,4,8,9,11],[3,4,9,11,12],[3,4,11,12,13], [3,5,6,11,12],[3,5,9,10,12],[3,6,11,12,13], [3,8,9,10,11],[3,8,9,10,14],[3,9,10,11,12], [4,5,6,7,12],[4,5,6,7,13],[4,5,6,10,11], [4,5,6,10,13],[4,5,7,12,14],[4,5,7,13,14], [4,5,9,10,12],[4,5,10,12,13],[4,5,12,13,14], [4,6,7,12,13],[4,6,10,11,13],[4,7,12,13,14], [4,9,10,11,12],[4,10,11,12,13],[5,6,7,8,13], [5,6,7,8,14],[5,6,7,11,12],[5,6,7,11,14], [5,6,10,11,13],[5,6,11,13,14],[5,7,8,13,14], [5,7,11,12,14],[5,10,11,12,13],[5,11,12,13,14], [6,7,8,9,14],[6,7,8,12,13],[6,7,11,12,14], [6,11,12,13,14],[7,8,9,13,14]] manifold_4_14_1_5=[[1,2,3,7,8],[1,2,3,7,9],[1,2,3,8,11], [1,2,3,9,11],[1,2,6,7,13],[1,2,6,7,14], [1,2,6,8,13],[1,2,6,8,14],[1,2,7,8,13], [1,2,7,9,10],[1,2,7,10,14],[1,2,8,10,11], [1,2,8,10,14],[1,2,9,10,11],[1,3,4,8,9], [1,3,4,8,10],[1,3,4,9,10],[1,3,7,8,9], [1,3,8,10,11],[1,3,9,10,11],[1,4,8,9,10], [1,5,6,7,12],[1,5,6,7,13],[1,5,6,12,14], [1,5,6,13,14],[1,5,7,12,14],[1,5,7,13,14], [1,6,7,12,14],[1,6,8,9,13],[1,6,8,9,14], [1,6,9,13,14],[1,7,8,9,13],[1,7,9,10,14], [1,7,9,13,14],[1,8,9,10,14],[2,3,4,8,9], [2,3,4,8,10],[2,3,4,9,12],[2,3,4,10,12], [2,3,7,8,14],[2,3,7,9,14],[2,3,8,9,14], [2,3,8,10,11],[2,3,9,11,12],[2,3,10,11,12], [2,4,5,9,10],[2,4,5,9,11],[2,4,5,10,11], [2,4,8,9,10],[2,4,9,11,12],[2,4,10,11,12], [2,5,9,10,11],[2,6,7,8,13],[2,6,7,8,14], [2,7,9,10,14],[2,8,9,10,14],[3,4,5,9,10], [3,4,5,9,11],[3,4,5,10,13],[3,4,5,11,13], [3,4,9,11,12],[3,4,10,12,13],[3,4,11,12,13], [3,5,6,10,11],[3,5,6,10,12],[3,5,6,11,12], [3,5,9,10,11],[3,5,10,12,13],[3,5,11,12,13], [3,6,10,11,12],[3,7,8,9,14],[4,5,6,10,11], [4,5,6,10,12],[4,5,6,11,14],[4,5,6,12,14], [4,5,10,12,13],[4,5,11,13,14],[4,5,12,13,14], [4,6,7,11,12],[4,6,7,11,13],[4,6,7,12,13], [4,6,10,11,12],[4,6,11,13,14],[4,6,12,13,14], [4,7,11,12,13],[5,6,7,11,12],[5,6,7,11,13], [5,6,11,13,14],[5,7,8,12,13],[5,7,8,12,14], [5,7,8,13,14],[5,7,11,12,13],[5,8,12,13,14], [6,7,8,12,13],[6,7,8,12,14],[6,8,9,13,14], [6,8,12,13,14],[7,8,9,13,14]] manifold_4_15_29_1=[[1,2,4,5,8],[1,2,4,5,13],[1,2,4,8,10], [1,2,4,10,12],[1,2,4,12,13],[1,2,5,6,8], [1,2,5,6,14],[1,2,5,13,14],[1,2,6,8,14], [1,2,8,10,14],[1,2,10,12,13],[1,2,10,13,14], [1,3,4,7,8],[1,3,4,7,15],[1,3,4,8,10], [1,3,4,10,12],[1,3,4,12,15],[1,3,7,8,10], [1,3,7,9,10],[1,3,7,9,15],[1,3,9,10,12], [1,3,9,11,12],[1,3,9,11,15],[1,3,11,12,15], [1,4,5,7,8],[1,4,5,7,15],[1,4,5,13,15], [1,4,12,13,15],[1,5,6,8,14],[1,5,7,8,14], [1,5,7,13,14],[1,5,7,13,15],[1,7,8,10,14], [1,7,9,10,14],[1,7,9,13,14],[1,7,9,13,15], [1,9,10,12,13],[1,9,10,13,14],[1,9,11,12,15], [1,9,12,13,15],[2,3,5,6,9],[2,3,5,6,14], [2,3,5,9,11],[2,3,5,11,13],[2,3,5,13,14], [2,3,6,7,9],[2,3,6,7,15],[2,3,6,14,15], [2,3,7,9,15],[2,3,9,11,15],[2,3,11,13,14], [2,3,11,14,15],[2,4,5,8,9],[2,4,5,9,11], [2,4,5,11,13],[2,4,8,9,11],[2,4,8,10,11], [2,4,10,11,13],[2,4,10,12,13],[2,5,6,8,9], [2,6,7,9,15],[2,6,8,9,15],[2,6,8,14,15], [2,8,9,11,15],[2,8,10,11,15],[2,8,10,14,15], [2,10,11,13,14],[2,10,11,14,15],[3,4,6,7,10], [3,4,6,7,15],[3,4,6,10,12],[3,4,6,12,14], [3,4,6,14,15],[3,4,7,8,10],[3,4,12,14,15], [3,5,6,9,10],[3,5,6,10,12],[3,5,6,12,14], [3,5,9,10,12],[3,5,9,11,12],[3,5,11,12,14], [3,5,11,13,14],[3,6,7,9,10],[3,11,12,14,15], [4,5,7,8,11],[4,5,7,11,13],[4,5,7,13,15], [4,5,8,9,11],[4,6,7,10,11],[4,6,7,11,13], [4,6,7,13,15],[4,6,10,11,13],[4,6,10,12,13], [4,6,12,13,15],[4,6,12,14,15],[4,7,8,10,11], [5,6,8,9,12],[5,6,8,12,14],[5,6,9,10,12], [5,7,8,11,12],[5,7,8,12,14],[5,7,11,12,14], [5,7,11,13,14],[5,8,9,11,12],[6,7,9,10,13], [6,7,9,13,15],[6,7,10,11,13],[6,8,9,12,13], [6,8,9,13,15],[6,8,12,13,15],[6,8,12,14,15], [6,9,10,12,13],[7,8,10,11,14],[7,8,11,12,14], [7,9,10,13,14],[7,10,11,13,14],[8,9,11,12,15], [8,9,12,13,15],[8,10,11,14,15],[8,11,12,14,15]] manifold_4_15_29_2=[[1,2,4,5,8],[1,2,4,5,13],[1,2,4,8,10], [1,2,4,10,13],[1,2,5,8,14],[1,2,5,13,14], [1,2,8,10,14],[1,2,10,13,14],[1,3,4,7,10], [1,3,4,7,15],[1,3,4,10,12],[1,3,4,12,15], [1,3,7,9,10],[1,3,7,9,15],[1,3,9,10,12], [1,3,9,12,15],[1,4,5,7,8],[1,4,5,7,13], [1,4,7,8,10],[1,4,7,13,15],[1,4,10,12,13], [1,4,12,13,15],[1,5,7,8,14],[1,5,7,13,14], [1,7,8,10,14],[1,7,9,10,13],[1,7,9,13,15], [1,7,10,13,14],[1,9,10,12,13],[1,9,12,13,15], [2,3,5,6,9],[2,3,5,6,14],[2,3,5,9,11], [2,3,5,11,14],[2,3,6,9,15],[2,3,6,14,15], [2,3,9,11,15],[2,3,11,14,15],[2,4,5,8,11], [2,4,5,11,13],[2,4,8,10,11],[2,4,10,11,13], [2,5,6,8,9],[2,5,6,8,14],[2,5,8,9,11], [2,5,11,13,14],[2,6,8,9,15],[2,6,8,14,15], [2,8,9,11,15],[2,8,10,11,14],[2,8,11,14,15], [2,10,11,13,14],[3,4,6,7,10],[3,4,6,7,15], [3,4,6,10,12],[3,4,6,12,15],[3,5,6,9,12], [3,5,6,12,14],[3,5,9,11,12],[3,5,11,12,14], [3,6,7,9,10],[3,6,7,9,15],[3,6,9,10,12], [3,6,12,14,15],[3,9,11,12,15],[3,11,12,14,15], [4,5,7,8,11],[4,5,7,11,13],[4,6,7,10,13], [4,6,7,13,15],[4,6,10,12,13],[4,6,12,13,15], [4,7,8,10,11],[4,7,10,11,13],[5,6,8,9,12], [5,6,8,12,14],[5,7,8,11,14],[5,7,11,13,14], [5,8,9,11,12],[5,8,11,12,14],[6,7,9,10,13], [6,7,9,13,15],[6,8,9,12,15],[6,8,12,14,15], [6,9,10,12,13],[6,9,12,13,15],[7,8,10,11,14], [7,10,11,13,14],[8,9,11,12,15],[8,11,12,14,15]] manifold_4_15_7_1=[[1,2,3,4,8],[1,2,3,4,12],[1,2,3,7,8], [1,2,3,7,15],[1,2,3,11,12],[1,2,3,11,15], [1,2,4,8,12],[1,2,6,7,8],[1,2,6,7,15], [1,2,6,8,12],[1,2,6,10,12],[1,2,6,10,14], [1,2,6,14,15],[1,2,10,11,12],[1,2,10,11,15], [1,2,10,14,15],[1,3,4,8,12],[1,3,7,8,12], [1,3,7,11,12],[1,3,7,11,15],[1,5,6,7,8], [1,5,6,7,15],[1,5,6,8,12],[1,5,6,10,12], [1,5,6,10,14],[1,5,6,14,15],[1,5,7,8,12], [1,5,7,11,12],[1,5,7,11,15],[1,5,9,10,12], [1,5,9,10,14],[1,5,9,11,12],[1,5,9,11,15], [1,5,9,13,14],[1,5,9,13,15],[1,5,13,14,15], [1,9,10,11,12],[1,9,10,11,15],[1,9,10,14,15], [1,9,13,14,15],[2,3,4,5,9],[2,3,4,5,13], [2,3,4,8,9],[2,3,4,12,13],[2,3,5,9,13], [2,3,7,8,9],[2,3,7,9,13],[2,3,7,11,13], [2,3,7,11,15],[2,3,11,12,13],[2,4,5,9,13], [2,4,8,9,13],[2,4,8,12,13],[2,6,7,8,9], [2,6,7,9,13],[2,6,7,11,13],[2,6,7,11,15], [2,6,8,9,13],[2,6,8,12,13],[2,6,10,11,13], [2,6,10,11,15],[2,6,10,12,13],[2,6,10,14,15], [2,10,11,12,13],[3,4,5,6,10],[3,4,5,6,14], [3,4,5,9,10],[3,4,5,13,14],[3,4,6,10,14], [3,4,8,9,10],[3,4,8,10,14],[3,4,8,12,14], [3,4,12,13,14],[3,5,6,10,14],[3,5,9,10,14], [3,5,9,13,14],[3,7,8,9,10],[3,7,8,10,14], [3,7,8,12,14],[3,7,9,10,14],[3,7,9,13,14], [3,7,11,12,14],[3,7,11,13,14],[3,11,12,13,14], [4,5,6,7,11],[4,5,6,7,15],[4,5,6,10,11], [4,5,6,14,15],[4,5,7,11,15],[4,5,9,10,11], [4,5,9,11,15],[4,5,9,13,15],[4,5,13,14,15], [4,6,7,11,15],[4,6,10,11,15],[4,6,10,14,15], [4,8,9,10,11],[4,8,9,11,15],[4,8,9,13,15], [4,8,10,11,15],[4,8,10,14,15],[4,8,12,13,15], [4,8,12,14,15],[4,12,13,14,15],[5,6,7,8,12], [5,6,7,11,12],[5,6,10,11,12],[5,9,10,11,12], [6,7,8,9,13],[6,7,8,12,13],[6,7,11,12,13], [6,10,11,12,13],[7,8,9,10,14],[7,8,9,13,14], [7,8,12,13,14],[7,11,12,13,14],[8,9,10,11,15], [8,9,10,14,15],[8,9,13,14,15],[8,12,13,14,15]] manifold_4_15_7_2=[[1,2,3,7,8],[1,2,3,7,11],[1,2,3,8,12], [1,2,3,11,12],[1,2,6,7,8],[1,2,6,7,15], [1,2,6,8,12],[1,2,6,10,12],[1,2,6,10,15], [1,2,7,11,15],[1,2,10,11,12],[1,2,10,11,15], [1,3,7,8,12],[1,3,7,11,12],[1,5,6,7,12], [1,5,6,7,15],[1,5,6,10,12],[1,5,6,10,14], [1,5,6,14,15],[1,5,7,11,12],[1,5,7,11,15], [1,5,9,10,11],[1,5,9,10,14],[1,5,9,11,15], [1,5,9,14,15],[1,5,10,11,12],[1,6,7,8,12], [1,6,10,14,15],[1,9,10,11,15],[1,9,10,14,15], [2,3,4,8,9],[2,3,4,8,12],[2,3,4,9,13], [2,3,4,12,13],[2,3,7,8,9],[2,3,7,9,13], [2,3,7,11,13],[2,3,11,12,13],[2,4,8,9,13], [2,4,8,12,13],[2,6,7,8,13],[2,6,7,11,13], [2,6,7,11,15],[2,6,8,12,13],[2,6,10,11,12], [2,6,10,11,15],[2,6,11,12,13],[2,7,8,9,13], [3,4,5,9,10],[3,4,5,9,13],[3,4,5,10,14], [3,4,5,13,14],[3,4,8,9,10],[3,4,8,10,14], [3,4,8,12,14],[3,4,12,13,14],[3,5,9,10,14], [3,5,9,13,14],[3,7,8,9,14],[3,7,8,12,14], [3,7,9,13,14],[3,7,11,12,13],[3,7,12,13,14], [3,8,9,10,14],[4,5,6,10,11],[4,5,6,10,14], [4,5,6,11,15],[4,5,6,14,15],[4,5,9,10,11], [4,5,9,11,15],[4,5,9,13,15],[4,5,13,14,15], [4,6,10,11,15],[4,6,10,14,15],[4,8,9,10,15], [4,8,9,13,15],[4,8,10,14,15],[4,8,12,13,14], [4,8,13,14,15],[4,9,10,11,15],[5,6,7,11,12], [5,6,7,11,15],[5,6,10,11,12],[5,9,13,14,15], [6,7,8,12,13],[6,7,11,12,13],[7,8,9,13,14], [7,8,12,13,14],[8,9,10,14,15],[8,9,13,14,15]] manifold_4_15_6_1=[[1,2,4,5,8],[1,2,4,5,11],[1,2,4,8,10], [1,2,4,10,13],[1,2,4,11,13],[1,2,5,8,14], [1,2,5,11,13],[1,2,5,13,14],[1,2,8,10,13], [1,2,8,13,14],[1,3,4,7,10],[1,3,4,7,15], [1,3,4,10,15],[1,3,6,7,9],[1,3,6,7,10], [1,3,6,9,10],[1,3,7,9,15],[1,3,9,10,12], [1,3,9,12,15],[1,3,10,12,15],[1,4,5,7,13], [1,4,5,7,14],[1,4,5,8,14],[1,4,5,11,13], [1,4,7,8,10],[1,4,7,8,14],[1,4,7,13,15], [1,4,10,12,13],[1,4,10,12,15],[1,4,12,13,15], [1,5,7,13,14],[1,6,7,9,10],[1,7,8,10,14], [1,7,9,10,13],[1,7,9,12,13],[1,7,9,12,15], [1,7,10,13,14],[1,7,12,13,15],[1,8,10,13,14], [1,9,10,12,13],[2,3,5,6,9],[2,3,5,6,12], [2,3,5,9,11],[2,3,5,11,14],[2,3,5,12,14], [2,3,6,9,15],[2,3,6,12,14],[2,3,6,14,15], [2,3,9,11,14],[2,3,9,14,15],[2,4,5,8,11], [2,4,7,8,10],[2,4,7,8,11],[2,4,7,10,11], [2,4,10,11,13],[2,5,6,8,14],[2,5,6,8,15], [2,5,6,9,15],[2,5,6,12,14],[2,5,8,9,11], [2,5,8,9,15],[2,5,11,13,14],[2,6,8,14,15], [2,7,8,10,11],[2,8,9,11,15],[2,8,10,11,14], [2,8,10,13,14],[2,8,11,14,15],[2,9,11,14,15], [2,10,11,13,14],[3,4,6,7,10],[3,4,6,7,13], [3,4,6,10,12],[3,4,6,12,15],[3,4,6,13,15], [3,4,7,13,15],[3,4,10,12,15],[3,5,6,9,12], [3,5,8,9,11],[3,5,8,9,12],[3,5,8,11,12], [3,5,11,12,14],[3,6,7,9,15],[3,6,7,13,15], [3,6,9,10,12],[3,6,12,14,15],[3,8,9,11,12], [3,9,11,12,15],[3,9,11,14,15],[3,11,12,14,15], [4,5,7,8,11],[4,5,7,8,14],[4,5,7,11,13], [4,6,7,10,13],[4,6,9,10,12],[4,6,9,10,13], [4,6,9,12,13],[4,6,12,13,15],[4,7,10,11,13], [4,9,10,12,13],[5,6,8,9,12],[5,6,8,9,15], [5,6,8,12,14],[5,7,8,11,14],[5,7,10,11,13], [5,7,10,11,14],[5,7,10,13,14],[5,8,11,12,14], [5,10,11,13,14],[6,7,9,10,13],[6,7,9,13,15], [6,8,9,12,15],[6,8,11,12,14],[6,8,11,12,15], [6,8,11,14,15],[6,9,12,13,15],[6,11,12,14,15], [7,8,10,11,14],[7,9,12,13,15],[8,9,11,12,15]] manifold_4_15_5_1=[[1,2,3,5,12],[1,2,3,5,13],[1,2,3,12,13], [1,2,4,7,10],[1,2,4,7,12],[1,2,4,10,12], [1,2,5,6,11],[1,2,5,6,12],[1,2,5,11,13], [1,2,6,11,12],[1,2,7,10,13],[1,2,7,12,15], [1,2,7,13,15],[1,2,10,11,12],[1,2,10,11,13], [1,2,12,13,15],[1,3,4,5,12],[1,3,4,5,14], [1,3,4,8,10],[1,3,4,8,13],[1,3,4,10,14], [1,3,4,12,15],[1,3,4,13,15],[1,3,5,9,11], [1,3,5,9,14],[1,3,5,11,13],[1,3,8,10,13], [1,3,9,10,13],[1,3,9,10,14],[1,3,9,11,13], [1,3,12,13,15],[1,4,5,10,11],[1,4,5,10,14], [1,4,5,11,12],[1,4,7,10,13],[1,4,7,12,15], [1,4,7,13,15],[1,4,8,10,13],[1,4,10,11,12], [1,5,6,11,12],[1,5,9,11,14],[1,5,10,11,14], [1,9,10,11,13],[1,9,10,11,14],[2,3,5,6,12], [2,3,5,6,13],[2,3,6,12,15],[2,3,6,13,15], [2,3,12,13,15],[2,4,7,10,12],[2,5,6,11,13], [2,6,7,10,11],[2,6,7,10,12],[2,6,7,11,14], [2,6,7,12,15],[2,6,7,14,15],[2,6,9,11,13], [2,6,9,11,15],[2,6,9,13,15],[2,6,10,11,12], [2,6,11,14,15],[2,7,8,10,14],[2,7,8,10,15], [2,7,8,14,15],[2,7,10,11,14],[2,7,10,13,15], [2,8,10,11,13],[2,8,10,11,14],[2,8,10,13,15], [2,8,11,13,15],[2,8,11,14,15],[2,9,11,13,15], [3,4,5,8,9],[3,4,5,8,12],[3,4,5,9,14], [3,4,7,8,12],[3,4,7,8,15],[3,4,7,12,15], [3,4,8,9,14],[3,4,8,10,14],[3,4,8,13,15], [3,5,6,9,13],[3,5,6,9,15],[3,5,6,12,15], [3,5,8,9,12],[3,5,9,11,13],[3,5,9,12,15], [3,6,9,13,15],[3,7,8,12,15],[3,8,9,10,13], [3,8,9,10,14],[3,8,9,12,15],[3,8,9,13,15], [4,5,6,11,12],[4,5,6,11,14],[4,5,6,12,14], [4,5,7,8,12],[4,5,7,8,14],[4,5,7,12,14], [4,5,8,9,14],[4,5,10,11,14],[4,6,7,10,12], [4,6,7,10,14],[4,6,7,12,14],[4,6,10,11,12], [4,6,10,11,14],[4,7,8,10,13],[4,7,8,10,14], [4,7,8,13,15],[5,6,7,9,12],[5,6,7,9,14], [5,6,7,12,14],[5,6,9,11,13],[5,6,9,11,14], [5,6,9,12,15],[5,7,8,9,12],[5,7,8,9,14], [6,7,8,9,14],[6,7,8,9,15],[6,7,8,14,15], [6,7,9,12,15],[6,7,10,11,14],[6,8,9,14,15], [6,9,11,14,15],[7,8,9,12,15],[7,8,10,13,15], [8,9,10,13,14],[8,9,11,13,14],[8,9,11,13,15], [8,9,11,14,15],[8,10,11,13,14],[9,10,11,13,14]] manifold_4_15_5_2=[[1,2,3,5,12],[1,2,3,5,13],[1,2,3,12,15], [1,2,3,13,15],[1,2,5,11,12],[1,2,5,11,13], [1,2,7,10,12],[1,2,7,10,13],[1,2,7,12,15], [1,2,7,13,15],[1,2,10,11,12],[1,2,10,11,13], [1,3,4,5,12],[1,3,4,5,14],[1,3,4,10,13], [1,3,4,10,14],[1,3,4,12,15],[1,3,4,13,15], [1,3,5,9,13],[1,3,5,9,14],[1,3,9,10,13], [1,3,9,10,14],[1,4,5,11,12],[1,4,5,11,14], [1,4,7,10,12],[1,4,7,10,13],[1,4,7,12,15], [1,4,7,13,15],[1,4,10,11,12],[1,4,10,11,14], [1,5,9,11,13],[1,5,9,11,14],[1,9,10,11,13], [1,9,10,11,14],[2,3,5,6,12],[2,3,5,6,13], [2,3,6,12,15],[2,3,6,13,15],[2,5,6,11,12], [2,5,6,11,13],[2,6,7,10,12],[2,6,7,10,14], [2,6,7,12,15],[2,6,7,14,15],[2,6,10,11,12], [2,6,10,11,14],[2,6,11,13,15],[2,6,11,14,15], [2,7,8,10,13],[2,7,8,10,14],[2,7,8,13,15], [2,7,8,14,15],[2,8,10,11,13],[2,8,10,11,14], [2,8,11,13,15],[2,8,11,14,15],[3,4,5,8,12], [3,4,5,8,14],[3,4,8,10,13],[3,4,8,10,14], [3,4,8,12,15],[3,4,8,13,15],[3,5,6,9,12], [3,5,6,9,13],[3,5,8,9,12],[3,5,8,9,14], [3,6,9,12,15],[3,6,9,13,15],[3,8,9,10,13], [3,8,9,10,14],[3,8,9,12,15],[3,8,9,13,15], [4,5,6,7,12],[4,5,6,7,14],[4,5,6,11,12], [4,5,6,11,14],[4,5,7,8,12],[4,5,7,8,14], [4,6,7,10,12],[4,6,7,10,14],[4,6,10,11,12], [4,6,10,11,14],[4,7,8,10,13],[4,7,8,10,14], [4,7,8,12,15],[4,7,8,13,15],[5,6,7,9,12], [5,6,7,9,14],[5,6,9,11,13],[5,6,9,11,14], [5,7,8,9,12],[5,7,8,9,14],[6,7,9,12,15], [6,7,9,14,15],[6,9,11,13,15],[6,9,11,14,15], [7,8,9,12,15],[7,8,9,14,15],[8,9,10,11,13], [8,9,10,11,14],[8,9,11,13,15],[8,9,11,14,15]] manifold_4_15_4_1=[[1,2,3,6,12],[1,2,3,6,13],[1,2,3,7,11], [1,2,3,7,13],[1,2,3,8,11],[1,2,3,8,12], [1,2,5,11,12],[1,2,5,11,15],[1,2,5,12,15], [1,2,6,7,10],[1,2,6,7,13],[1,2,6,10,15], [1,2,6,12,15],[1,2,7,10,15],[1,2,7,11,15], [1,2,8,11,12],[1,3,6,8,11],[1,3,6,8,12], [1,3,6,11,13],[1,3,7,11,13],[1,4,5,6,9], [1,4,5,6,10],[1,4,5,9,10],[1,4,6,9,14], [1,4,6,10,14],[1,4,9,10,11],[1,4,9,11,14], [1,4,10,11,15],[1,4,10,14,15],[1,4,11,14,15], [1,5,6,7,10],[1,5,6,7,12],[1,5,6,9,15], [1,5,6,12,15],[1,5,7,10,12],[1,5,9,10,11], [1,5,9,11,14],[1,5,9,14,15],[1,5,10,11,12], [1,5,11,14,15],[1,6,7,8,12],[1,6,7,8,13], [1,6,8,11,13],[1,6,9,14,15],[1,6,10,14,15], [1,7,8,12,13],[1,7,10,11,12],[1,7,10,11,15], [1,7,11,12,13],[1,8,11,12,13],[2,3,4,7,13], [2,3,4,7,14],[2,3,4,8,12],[2,3,4,8,14], [2,3,4,9,12],[2,3,4,9,13],[2,3,6,12,13], [2,3,7,8,11],[2,3,7,8,14],[2,3,9,12,13], [2,4,7,9,12],[2,4,7,9,13],[2,4,7,12,14], [2,4,8,12,14],[2,5,6,7,10],[2,5,6,7,11], [2,5,6,10,11],[2,5,7,10,15],[2,5,7,11,15], [2,5,10,11,12],[2,5,10,12,15],[2,6,7,8,11], [2,6,7,8,13],[2,6,8,11,13],[2,6,10,11,12], [2,6,10,12,15],[2,6,11,12,13],[2,7,8,9,13], [2,7,8,9,14],[2,7,9,12,14],[2,8,9,13,14], [2,8,11,12,13],[2,8,12,13,14],[2,9,12,13,14], [3,4,5,8,14],[3,4,5,8,15],[3,4,5,9,13], [3,4,5,9,15],[3,4,5,10,13],[3,4,5,10,14], [3,4,7,13,14],[3,4,8,9,12],[3,4,8,9,15], [3,4,10,13,14],[3,5,8,10,13],[3,5,8,10,14], [3,5,8,13,15],[3,5,9,13,15],[3,6,7,8,11], [3,6,7,8,12],[3,6,7,11,12],[3,6,11,12,13], [3,7,8,9,12],[3,7,8,9,14],[3,7,9,12,14], [3,7,11,12,13],[3,7,12,13,14],[3,8,9,10,14], [3,8,9,10,15],[3,8,10,13,15],[3,9,10,14,15], [3,9,12,13,14],[3,9,13,14,15],[3,10,13,14,15], [4,5,6,9,15],[4,5,6,10,14],[4,5,6,11,14], [4,5,6,11,15],[4,5,8,14,15],[4,5,9,10,13], [4,5,11,14,15],[4,6,9,11,14],[4,6,9,11,15], [4,7,8,9,12],[4,7,8,9,13],[4,7,8,12,13], [4,7,12,13,14],[4,8,9,10,13],[4,8,9,10,15], [4,8,10,13,15],[4,8,12,13,14],[4,8,13,14,15], [4,9,10,11,15],[4,10,13,14,15],[5,6,7,11,15], [5,6,7,12,15],[5,6,10,11,14],[5,7,10,12,15], [5,8,9,10,13],[5,8,9,10,14],[5,8,9,13,14], [5,8,13,14,15],[5,9,10,11,14],[5,9,13,14,15], [6,7,11,12,15],[6,9,10,11,14],[6,9,10,11,15], [6,9,10,14,15],[6,10,11,12,15],[7,10,11,12,15]] manifold_4_15_4_2=[[1,2,4,5,8],[1,2,4,5,13],[1,2,4,7,8], [1,2,4,7,13],[1,2,5,8,11],[1,2,5,10,11], [1,2,5,10,14],[1,2,5,13,14],[1,2,7,8,11], [1,2,7,11,13],[1,2,10,11,13],[1,2,10,13,14], [1,3,4,7,12],[1,3,4,7,15],[1,3,4,12,15], [1,3,6,7,12],[1,3,6,7,15],[1,3,6,12,15], [1,4,5,7,8],[1,4,5,7,10],[1,4,5,10,14], [1,4,5,13,14],[1,4,7,10,15],[1,4,7,12,13], [1,4,9,10,13],[1,4,9,10,15],[1,4,9,13,15], [1,4,10,13,14],[1,4,12,13,15],[1,5,7,8,11], [1,5,7,10,11],[1,6,7,10,13],[1,6,7,10,15], [1,6,7,12,13],[1,6,10,12,13],[1,6,10,12,15], [1,7,10,11,13],[1,9,10,12,13],[1,9,10,12,15], [1,9,12,13,15],[2,3,5,6,9],[2,3,5,6,14], [2,3,5,8,9],[2,3,5,8,14],[2,3,6,9,12], [2,3,6,11,12],[2,3,6,11,15],[2,3,6,14,15], [2,3,8,9,12],[2,3,8,12,14],[2,3,11,12,14], [2,3,11,14,15],[2,4,5,8,13],[2,4,7,8,13], [2,5,6,8,9],[2,5,6,8,11],[2,5,6,11,15], [2,5,6,14,15],[2,5,8,13,14],[2,5,10,11,14], [2,5,11,14,15],[2,6,8,9,12],[2,6,8,11,12], [2,7,8,11,14],[2,7,8,13,14],[2,7,11,13,14], [2,8,11,12,14],[2,10,11,13,14],[3,4,6,7,10], [3,4,6,7,15],[3,4,6,9,10],[3,4,6,9,15], [3,4,7,10,13],[3,4,7,12,13],[3,4,9,10,13], [3,4,9,13,15],[3,4,12,13,15],[3,5,6,9,14], [3,5,8,9,14],[3,6,7,9,10],[3,6,7,9,12], [3,6,9,14,15],[3,6,11,12,15],[3,7,9,10,13], [3,7,9,12,13],[3,8,9,12,15],[3,8,9,14,15], [3,8,12,14,15],[3,9,12,13,15],[3,11,12,14,15], [4,5,7,8,11],[4,5,7,10,11],[4,5,8,11,14], [4,5,8,13,14],[4,5,10,11,14],[4,6,7,10,15], [4,6,9,10,15],[4,7,8,10,11],[4,7,8,10,13], [4,8,10,11,14],[4,8,10,13,14],[5,6,8,9,12], [5,6,8,11,12],[5,6,9,12,15],[5,6,9,14,15], [5,6,11,12,15],[5,8,9,11,12],[5,8,9,11,14], [5,9,11,12,15],[5,9,11,14,15],[6,7,9,10,13], [6,7,9,12,13],[6,9,10,12,13],[6,9,10,12,15], [7,8,10,11,14],[7,8,10,13,14],[7,10,11,13,14], [8,9,11,12,15],[8,9,11,14,15],[8,11,12,14,15]] manifold_4_15_2_1=[[1,2,3,4,6],[1,2,3,4,14],[1,2,3,5,6], [1,2,3,5,15],[1,2,3,13,14],[1,2,3,13,15], [1,2,4,5,6],[1,2,4,5,15],[1,2,4,14,15], [1,2,12,13,14],[1,2,12,13,15],[1,2,12,14,15], [1,3,4,5,6],[1,3,4,5,15],[1,3,4,14,15], [1,3,13,14,15],[1,11,12,13,14],[1,11,12,13,15], [1,11,12,14,15],[1,11,13,14,15],[2,3,4,5,7], [2,3,4,5,15],[2,3,4,6,7],[2,3,4,14,15], [2,3,5,6,7],[2,3,13,14,15],[2,4,5,6,7], [2,12,13,14,15],[3,4,5,6,8],[3,4,5,7,8], [3,4,6,7,8],[3,5,6,7,8],[4,5,6,7,9],[4,5,6,8,9], [4,5,7,8,9],[4,6,7,8,9],[5,6,7,8,10], [5,6,7,9,10],[5,6,8,9,10],[5,7,8,9,10], [6,7,8,9,11],[6,7,8,10,11],[6,7,9,10,11], [6,8,9,10,11],[7,8,9,10,12],[7,8,9,11,12], [7,8,10,11,12],[7,9,10,11,12],[8,9,10,11,13], [8,9,10,12,13],[8,9,11,12,13],[8,10,11,12,13], [9,10,11,12,14],[9,10,11,13,14],[9,10,12,13,14], [9,11,12,13,14],[10,11,12,13,15],[10,11,12,14,15], [10,11,13,14,15],[10,12,13,14,15]] manifold_4_15_2_2=[[1,2,3,4,6],[1,2,3,4,14],[1,2,3,5,7], [1,2,3,5,15],[1,2,3,6,7],[1,2,3,12,13], [1,2,3,12,14],[1,2,3,13,15],[1,2,4,6,15], [1,2,4,14,15],[1,2,5,6,7],[1,2,5,6,15], [1,2,11,12,13],[1,2,11,12,15],[1,2,11,13,15], [1,2,12,14,15],[1,3,4,5,6],[1,3,4,5,14], [1,3,5,6,7],[1,3,5,14,15],[1,3,12,13,14], [1,3,13,14,15],[1,4,5,6,15],[1,4,5,14,15], [1,10,11,12,14],[1,10,11,12,15],[1,10,11,14,15], [1,10,12,14,15],[1,11,12,13,14],[1,11,13,14,15], [2,3,4,5,7],[2,3,4,5,15],[2,3,4,6,8],[2,3,4,7,8], [2,3,4,13,14],[2,3,4,13,15],[2,3,6,7,8], [2,3,12,13,14],[2,4,5,6,7],[2,4,5,6,15], [2,4,6,7,8],[2,4,13,14,15],[2,11,12,13,15], [2,12,13,14,15],[3,4,5,6,8],[3,4,5,7,9], [3,4,5,8,9],[3,4,5,14,15],[3,4,7,8,9], [3,4,13,14,15],[3,5,6,7,8],[3,5,7,8,9], [4,5,6,7,9],[4,5,6,8,10],[4,5,6,9,10], [4,5,8,9,10],[4,6,7,8,9],[4,6,8,9,10], [5,6,7,8,10],[5,6,7,9,11],[5,6,7,10,11], [5,6,9,10,11],[5,7,8,9,10],[5,7,9,10,11], [6,7,8,9,11],[6,7,8,10,12],[6,7,8,11,12], [6,7,10,11,12],[6,8,9,10,11],[6,8,10,11,12], [7,8,9,10,12],[7,8,9,11,13],[7,8,9,12,13], [7,8,11,12,13],[7,9,10,11,12],[7,9,11,12,13], [8,9,10,11,13],[8,9,10,12,14],[8,9,10,13,14], [8,9,12,13,14],[8,10,11,12,13],[8,10,12,13,14], [9,10,11,12,14],[9,10,11,13,15],[9,10,11,14,15], [9,10,13,14,15],[9,11,12,13,14],[9,11,13,14,15], [10,11,12,13,15],[10,12,13,14,15]] manifold_4_15_2_3=[[1,2,3,4,6],[1,2,3,4,14],[1,2,3,5,7], [1,2,3,5,15],[1,2,3,6,8],[1,2,3,7,8], [1,2,3,11,12],[1,2,3,11,13],[1,2,3,12,14], [1,2,3,13,15],[1,2,4,6,15],[1,2,4,14,15], [1,2,5,7,15],[1,2,6,7,8],[1,2,6,7,15], [1,2,10,11,12],[1,2,10,11,15],[1,2,10,12,15], [1,2,11,13,15],[1,2,12,14,15],[1,3,4,5,6], [1,3,4,5,14],[1,3,5,6,7],[1,3,5,14,15], [1,3,6,7,8],[1,3,11,12,13],[1,3,12,13,14], [1,3,13,14,15],[1,4,5,6,14],[1,4,6,14,15], [1,5,6,7,15],[1,5,6,14,15],[1,9,10,11,14], [1,9,10,11,15],[1,9,10,14,15],[1,9,11,14,15], [1,10,11,12,14],[1,10,12,14,15],[1,11,12,13,14], [1,11,13,14,15],[2,3,4,5,7],[2,3,4,5,15], [2,3,4,6,8],[2,3,4,7,9],[2,3,4,8,9], [2,3,4,12,13],[2,3,4,12,14],[2,3,4,13,15], [2,3,7,8,9],[2,3,11,12,13],[2,4,5,6,7], [2,4,5,6,15],[2,4,6,7,8],[2,4,7,8,9], [2,4,12,13,14],[2,4,13,14,15],[2,5,6,7,15], [2,10,11,12,15],[2,11,12,13,15],[2,12,13,14,15], [3,4,5,6,8],[3,4,5,7,9],[3,4,5,8,10], [3,4,5,9,10],[3,4,5,13,14],[3,4,5,13,15], [3,4,8,9,10],[3,4,12,13,14],[3,5,6,7,8], [3,5,7,8,9],[3,5,8,9,10],[3,5,13,14,15], [4,5,6,7,9],[4,5,6,8,10],[4,5,6,9,11], [4,5,6,10,11],[4,5,6,14,15],[4,5,9,10,11], [4,5,13,14,15],[4,6,7,8,9],[4,6,8,9,10], [4,6,9,10,11],[5,6,7,8,10],[5,6,7,9,11], [5,6,7,10,12],[5,6,7,11,12],[5,6,10,11,12], [5,7,8,9,10],[5,7,9,10,11],[5,7,10,11,12], [6,7,8,9,11],[6,7,8,10,12],[6,7,8,11,13], [6,7,8,12,13],[6,7,11,12,13],[6,8,9,10,11], [6,8,10,11,12],[6,8,11,12,13],[7,8,9,10,12], [7,8,9,11,13],[7,8,9,12,14],[7,8,9,13,14], [7,8,12,13,14],[7,9,10,11,12],[7,9,11,12,13], [7,9,12,13,14],[8,9,10,11,13],[8,9,10,12,14], [8,9,10,13,15],[8,9,10,14,15],[8,9,13,14,15], [8,10,11,12,13],[8,10,12,13,14],[8,10,13,14,15], [9,10,11,12,14],[9,10,11,13,15],[9,11,12,13,14], [9,11,13,14,15],[10,11,12,13,15],[10,12,13,14,15]] manifold_4_15_2_4=[[1,2,3,4,7],[1,2,3,4,13],[1,2,3,6,7], [1,2,3,6,15],[1,2,3,12,13],[1,2,3,12,15], [1,2,4,5,7],[1,2,4,5,14],[1,2,4,13,14], [1,2,5,6,7],[1,2,5,6,15],[1,2,5,14,15], [1,2,11,12,13],[1,2,11,12,15],[1,2,11,13,14], [1,2,11,14,15],[1,3,4,6,7],[1,3,4,6,15], [1,3,4,13,15],[1,3,12,13,15],[1,4,5,6,7], [1,4,5,6,15],[1,4,5,14,15],[1,4,13,14,15], [1,10,11,12,13],[1,10,11,12,15],[1,10,11,13,14], [1,10,11,14,15],[1,10,12,13,15],[1,10,13,14,15], [2,3,4,5,8],[2,3,4,5,14],[2,3,4,7,8], [2,3,4,13,14],[2,3,5,6,8],[2,3,5,6,15], [2,3,5,14,15],[2,3,6,7,8],[2,3,12,13,14], [2,3,12,14,15],[2,4,5,7,8],[2,5,6,7,8], [2,11,12,13,14],[2,11,12,14,15],[3,4,5,6,9], [3,4,5,6,15],[3,4,5,8,9],[3,4,5,14,15], [3,4,6,7,9],[3,4,7,8,9],[3,4,13,14,15], [3,5,6,8,9],[3,6,7,8,9],[3,12,13,14,15], [4,5,6,7,10],[4,5,6,9,10],[4,5,7,8,10], [4,5,8,9,10],[4,6,7,9,10],[4,7,8,9,10], [5,6,7,8,11],[5,6,7,10,11],[5,6,8,9,11], [5,6,9,10,11],[5,7,8,10,11],[5,8,9,10,11], [6,7,8,9,12],[6,7,8,11,12],[6,7,9,10,12], [6,7,10,11,12],[6,8,9,11,12],[6,9,10,11,12], [7,8,9,10,13],[7,8,9,12,13],[7,8,10,11,13], [7,8,11,12,13],[7,9,10,12,13],[7,10,11,12,13], [8,9,10,11,14],[8,9,10,13,14],[8,9,11,12,14], [8,9,12,13,14],[8,10,11,13,14],[8,11,12,13,14], [9,10,11,12,15],[9,10,11,14,15],[9,10,12,13,15], [9,10,13,14,15],[9,11,12,14,15],[9,12,13,14,15]] manifold_4_15_2_5=[[1,2,3,4,7],[1,2,3,4,13],[1,2,3,6,7], [1,2,3,6,15],[1,2,3,12,13],[1,2,3,12,15], [1,2,4,5,8],[1,2,4,5,13],[1,2,4,7,8],[1,2,5,6,7], [1,2,5,6,15],[1,2,5,7,8],[1,2,5,13,14], [1,2,5,14,15],[1,2,10,11,13],[1,2,10,11,14], [1,2,10,13,14],[1,2,11,12,13],[1,2,11,12,15], [1,2,11,14,15],[1,3,4,7,15],[1,3,4,12,13], [1,3,4,12,15],[1,3,6,7,15],[1,4,5,6,7], [1,4,5,6,15],[1,4,5,7,8],[1,4,5,13,14], [1,4,5,14,15],[1,4,6,7,15],[1,4,12,13,15], [1,4,13,14,15],[1,9,10,12,13],[1,9,10,12,15], [1,9,10,13,15],[1,9,12,13,15],[1,10,11,12,13], [1,10,11,12,15],[1,10,11,14,15],[1,10,13,14,15], [2,3,4,5,8],[2,3,4,5,14],[2,3,4,7,8], [2,3,4,13,14],[2,3,5,6,9],[2,3,5,6,14], [2,3,5,8,9],[2,3,6,7,8],[2,3,6,8,9], [2,3,6,14,15],[2,3,11,12,14],[2,3,11,12,15], [2,3,11,14,15],[2,3,12,13,14],[2,4,5,13,14], [2,5,6,7,8],[2,5,6,8,9],[2,5,6,14,15], [2,10,11,13,14],[2,11,12,13,14],[3,4,5,6,9], [3,4,5,6,15],[3,4,5,8,9],[3,4,5,14,15], [3,4,6,7,10],[3,4,6,7,15],[3,4,6,9,10], [3,4,7,8,9],[3,4,7,9,10],[3,4,12,13,15], [3,4,13,14,15],[3,5,6,14,15],[3,6,7,8,9], [3,6,7,9,10],[3,11,12,14,15],[3,12,13,14,15], [4,5,6,7,10],[4,5,6,9,10],[4,5,7,8,11], [4,5,7,10,11],[4,5,8,9,10],[4,5,8,10,11], [4,7,8,9,10],[4,7,8,10,11],[5,6,7,8,11], [5,6,7,10,11],[5,6,8,9,12],[5,6,8,11,12], [5,6,9,10,11],[5,6,9,11,12],[5,8,9,10,11], [5,8,9,11,12],[6,7,8,9,12],[6,7,8,11,12], [6,7,9,10,13],[6,7,9,12,13],[6,7,10,11,12], [6,7,10,12,13],[6,9,10,11,12],[6,9,10,12,13], [7,8,9,10,13],[7,8,9,12,13],[7,8,10,11,14], [7,8,10,13,14],[7,8,11,12,13],[7,8,11,13,14], [7,10,11,12,13],[7,10,11,13,14],[8,9,10,11,14], [8,9,10,13,14],[8,9,11,12,15],[8,9,11,14,15], [8,9,12,13,14],[8,9,12,14,15],[8,11,12,13,14], [8,11,12,14,15],[9,10,11,12,15],[9,10,11,14,15], [9,10,13,14,15],[9,12,13,14,15]] manifold_4_15_2_6=[[1,2,3,4,7],[1,2,3,4,13],[1,2,3,6,7], [1,2,3,6,15],[1,2,3,12,13],[1,2,3,12,15], [1,2,4,7,14],[1,2,4,11,13],[1,2,4,11,14], [1,2,5,6,7],[1,2,5,6,15],[1,2,5,7,14], [1,2,5,14,15],[1,2,11,12,13],[1,2,11,12,15], [1,2,11,14,15],[1,3,4,6,9],[1,3,4,6,13], [1,3,4,7,9],[1,3,6,7,9],[1,3,6,13,15], [1,3,10,12,13],[1,3,10,12,15],[1,3,10,13,15], [1,4,5,6,7],[1,4,5,6,15],[1,4,5,7,14], [1,4,5,14,15],[1,4,6,7,9],[1,4,6,13,15], [1,4,11,13,14],[1,4,13,14,15],[1,8,10,11,13], [1,8,10,11,14],[1,8,10,13,14],[1,8,11,13,14], [1,10,11,12,13],[1,10,11,12,15],[1,10,11,14,15], [1,10,13,14,15],[2,3,4,5,8],[2,3,4,5,14], [2,3,4,7,8],[2,3,4,13,14],[2,3,5,8,15], [2,3,5,12,14],[2,3,5,12,15],[2,3,6,7,8], [2,3,6,8,15],[2,3,12,13,14],[2,4,5,7,10], [2,4,5,7,14],[2,4,5,8,10],[2,4,7,8,10], [2,4,11,13,14],[2,5,6,7,8],[2,5,6,8,15], [2,5,7,8,10],[2,5,12,14,15],[2,9,11,12,14], [2,9,11,12,15],[2,9,11,14,15],[2,9,12,14,15], [2,11,12,13,14],[3,4,5,6,9],[3,4,5,6,15], [3,4,5,8,9],[3,4,5,14,15],[3,4,6,13,15], [3,4,7,8,9],[3,4,13,14,15],[3,5,6,8,11], [3,5,6,8,15],[3,5,6,9,11],[3,5,8,9,11], [3,5,12,14,15],[3,6,7,8,9],[3,6,8,9,11], [3,10,12,13,15],[3,12,13,14,15],[4,5,6,7,10], [4,5,6,9,10],[4,5,8,9,10],[4,6,7,9,12], [4,6,7,10,12],[4,6,9,10,12],[4,7,8,9,10], [4,7,9,10,12],[5,6,7,8,11],[5,6,7,10,11], [5,6,9,10,11],[5,7,8,10,13],[5,7,8,11,13], [5,7,10,11,13],[5,8,9,10,11],[5,8,10,11,13], [6,7,8,9,12],[6,7,8,11,12],[6,7,10,11,12], [6,8,9,11,14],[6,8,9,12,14],[6,8,11,12,14], [6,9,10,11,12],[6,9,11,12,14],[7,8,9,10,13], [7,8,9,12,13],[7,8,11,12,13],[7,9,10,12,15], [7,9,10,13,15],[7,9,12,13,15],[7,10,11,12,13], [7,10,12,13,15],[8,9,10,11,14],[8,9,10,13,14], [8,9,12,13,14],[8,11,12,13,14],[9,10,11,12,15], [9,10,11,14,15],[9,10,13,14,15],[9,12,13,14,15]] manifold_4_15_2_7=[[1,2,3,4,7],[1,2,3,4,13],[1,2,3,6,8], [1,2,3,6,15],[1,2,3,7,8],[1,2,3,11,12], [1,2,3,11,13],[1,2,3,12,15],[1,2,4,5,7], [1,2,4,5,14],[1,2,4,13,14],[1,2,5,7,15], [1,2,5,14,15],[1,2,6,7,8],[1,2,6,7,15], [1,2,10,11,12],[1,2,10,11,15],[1,2,10,12,15], [1,2,11,13,14],[1,2,11,14,15],[1,3,4,6,7], [1,3,4,6,15],[1,3,4,13,15],[1,3,6,7,8], [1,3,11,12,13],[1,3,12,13,15],[1,4,5,6,7], [1,4,5,6,14],[1,4,6,14,15],[1,4,13,14,15], [1,5,6,7,15],[1,5,6,14,15],[1,9,10,11,14], [1,9,10,11,15],[1,9,10,14,15],[1,9,11,14,15], [1,10,11,12,13],[1,10,11,13,14],[1,10,12,13,15], [1,10,13,14,15],[2,3,4,5,8],[2,3,4,5,14], [2,3,4,7,9],[2,3,4,8,9],[2,3,4,12,13], [2,3,4,12,14],[2,3,5,6,8],[2,3,5,6,15], [2,3,5,14,15],[2,3,7,8,9],[2,3,11,12,13], [2,3,12,14,15],[2,4,5,7,8],[2,4,7,8,9], [2,4,12,13,14],[2,5,6,7,8],[2,5,6,7,15], [2,10,11,12,15],[2,11,12,13,14],[2,11,12,14,15], [3,4,5,6,9],[3,4,5,6,15],[3,4,5,8,10], [3,4,5,9,10],[3,4,5,13,14],[3,4,5,13,15], [3,4,6,7,9],[3,4,8,9,10],[3,4,12,13,14], [3,5,6,8,9],[3,5,8,9,10],[3,5,13,14,15], [3,6,7,8,9],[3,12,13,14,15],[4,5,6,7,10], [4,5,6,9,11],[4,5,6,10,11],[4,5,6,14,15], [4,5,7,8,10],[4,5,9,10,11],[4,5,13,14,15], [4,6,7,9,10],[4,6,9,10,11],[4,7,8,9,10], [5,6,7,8,11],[5,6,7,10,12],[5,6,7,11,12], [5,6,8,9,11],[5,6,10,11,12],[5,7,8,10,11], [5,7,10,11,12],[5,8,9,10,11],[6,7,8,9,12], [6,7,8,11,13],[6,7,8,12,13],[6,7,9,10,12], [6,7,11,12,13],[6,8,9,11,12],[6,8,11,12,13], [6,9,10,11,12],[7,8,9,10,13],[7,8,9,12,14], [7,8,9,13,14],[7,8,10,11,13],[7,8,12,13,14], [7,9,10,12,13],[7,9,12,13,14],[7,10,11,12,13], [8,9,10,11,14],[8,9,10,13,15],[8,9,10,14,15], [8,9,11,12,14],[8,9,13,14,15],[8,10,11,13,14], [8,10,13,14,15],[8,11,12,13,14],[9,10,11,12,15], [9,10,12,13,15],[9,11,12,14,15],[9,12,13,14,15]] manifold_4_15_2_8=[[1,2,3,4,8],[1,2,3,4,12],[1,2,3,7,8], [1,2,3,7,15],[1,2,3,11,12],[1,2,3,11,15], [1,2,4,5,8],[1,2,4,5,13],[1,2,4,12,13], [1,2,5,6,8],[1,2,5,6,14],[1,2,5,13,14], [1,2,6,7,8],[1,2,6,7,15],[1,2,6,14,15], [1,2,10,11,12],[1,2,10,11,15],[1,2,10,12,13], [1,2,10,13,14],[1,2,10,14,15],[1,3,4,7,8], [1,3,4,7,15],[1,3,4,12,15],[1,3,11,12,15], [1,4,5,7,8],[1,4,5,7,15],[1,4,5,13,15], [1,4,12,13,15],[1,5,6,7,8],[1,5,6,7,15], [1,5,6,14,15],[1,5,13,14,15],[1,9,10,11,12], [1,9,10,11,15],[1,9,10,12,13],[1,9,10,13,14], [1,9,10,14,15],[1,9,11,12,15],[1,9,12,13,15], [1,9,13,14,15],[2,3,4,5,9],[2,3,4,5,13], [2,3,4,8,9],[2,3,4,12,13],[2,3,5,6,9], [2,3,5,6,14],[2,3,5,13,14],[2,3,6,7,9], [2,3,6,7,15],[2,3,6,14,15],[2,3,7,8,9], [2,3,11,12,13],[2,3,11,13,14],[2,3,11,14,15], [2,4,5,8,9],[2,5,6,8,9],[2,6,7,8,9], [2,10,11,12,13],[2,10,11,13,14],[2,10,11,14,15], [3,4,5,6,10],[3,4,5,6,14],[3,4,5,9,10], [3,4,5,13,14],[3,4,6,7,10],[3,4,6,7,15], [3,4,6,14,15],[3,4,7,8,10],[3,4,8,9,10], [3,4,12,13,14],[3,4,12,14,15],[3,5,6,9,10], [3,6,7,9,10],[3,7,8,9,10],[3,11,12,13,14], [3,11,12,14,15],[4,5,6,7,11],[4,5,6,7,15], [4,5,6,10,11],[4,5,6,14,15],[4,5,7,8,11], [4,5,8,9,11],[4,5,9,10,11],[4,5,13,14,15], [4,6,7,10,11],[4,7,8,10,11],[4,8,9,10,11], [4,12,13,14,15],[5,6,7,8,12],[5,6,7,11,12], [5,6,8,9,12],[5,6,9,10,12],[5,6,10,11,12], [5,7,8,11,12],[5,8,9,11,12],[5,9,10,11,12], [6,7,8,9,13],[6,7,8,12,13],[6,7,9,10,13], [6,7,10,11,13],[6,7,11,12,13],[6,8,9,12,13], [6,9,10,12,13],[6,10,11,12,13],[7,8,9,10,14], [7,8,9,13,14],[7,8,10,11,14],[7,8,11,12,14], [7,8,12,13,14],[7,9,10,13,14],[7,10,11,13,14], [7,11,12,13,14],[8,9,10,11,15],[8,9,10,14,15], [8,9,11,12,15],[8,9,12,13,15],[8,9,13,14,15], [8,10,11,14,15],[8,11,12,14,15],[8,12,13,14,15]] manifold_4_15_2_9=[[1,2,3,4,8],[1,2,3,4,12],[1,2,3,7,8], [1,2,3,7,15],[1,2,3,11,12],[1,2,3,11,15], [1,2,4,6,8],[1,2,4,6,14],[1,2,4,12,14], [1,2,6,7,8],[1,2,6,7,15],[1,2,6,14,15], [1,2,10,11,12],[1,2,10,11,15],[1,2,10,12,14], [1,2,10,14,15],[1,3,4,6,8],[1,3,4,6,14], [1,3,4,12,14],[1,3,5,6,8],[1,3,5,6,14], [1,3,5,7,8],[1,3,5,7,15],[1,3,5,13,14], [1,3,5,13,15],[1,3,11,12,14],[1,3,11,13,14], [1,3,11,13,15],[1,5,6,7,8],[1,5,6,7,15], [1,5,6,14,15],[1,5,13,14,15],[1,9,10,11,12], [1,9,10,11,15],[1,9,10,12,14],[1,9,10,14,15], [1,9,11,12,14],[1,9,11,13,14],[1,9,11,13,15], [1,9,13,14,15],[2,3,4,5,9],[2,3,4,5,13], [2,3,4,8,9],[2,3,4,12,13],[2,3,5,7,9], [2,3,5,7,15],[2,3,5,13,15],[2,3,7,8,9], [2,3,11,12,13],[2,3,11,13,15],[2,4,5,7,9], [2,4,5,7,15],[2,4,5,13,15],[2,4,6,7,9], [2,4,6,7,15],[2,4,6,8,9],[2,4,6,14,15], [2,4,12,13,15],[2,4,12,14,15],[2,6,7,8,9], [2,10,11,12,13],[2,10,11,13,15],[2,10,12,13,15], [2,10,12,14,15],[3,4,5,6,10],[3,4,5,6,14], [3,4,5,9,10],[3,4,5,13,14],[3,4,6,8,10], [3,4,8,9,10],[3,4,12,13,14],[3,5,6,8,10], [3,5,7,8,10],[3,5,7,9,10],[3,7,8,9,10], [3,11,12,13,14],[4,5,6,7,11],[4,5,6,7,15], [4,5,6,10,11],[4,5,6,14,15],[4,5,7,9,11], [4,5,9,10,11],[4,5,13,14,15],[4,6,7,9,11], [4,6,8,9,11],[4,6,8,10,11],[4,8,9,10,11], [4,12,13,14,15],[5,6,7,8,12],[5,6,7,11,12], [5,6,8,10,12],[5,6,10,11,12],[5,7,8,10,12], [5,7,9,10,12],[5,7,9,11,12],[5,9,10,11,12], [6,7,8,9,13],[6,7,8,12,13],[6,7,9,11,13], [6,7,11,12,13],[6,8,9,11,13],[6,8,10,11,13], [6,8,10,12,13],[6,10,11,12,13],[7,8,9,10,14], [7,8,9,13,14],[7,8,10,12,14],[7,8,12,13,14], [7,9,10,12,14],[7,9,11,12,14],[7,9,11,13,14], [7,11,12,13,14],[8,9,10,11,15],[8,9,10,14,15], [8,9,11,13,15],[8,9,13,14,15],[8,10,11,13,15], [8,10,12,13,15],[8,10,12,14,15],[8,12,13,14,15]] manifold_4_15_2_10=[[1,2,3,4,8],[1,2,3,4,12],[1,2,3,7,8], [1,2,3,7,15],[1,2,3,11,12],[1,2,3,11,15], [1,2,4,8,10],[1,2,4,10,12],[1,2,6,7,8], [1,2,6,7,15],[1,2,6,8,14],[1,2,6,14,15], [1,2,8,10,14],[1,2,10,11,12],[1,2,10,11,15], [1,2,10,14,15],[1,3,4,8,10],[1,3,4,10,12], [1,3,7,8,10],[1,3,7,9,10],[1,3,7,9,15], [1,3,9,10,12],[1,3,9,11,12],[1,3,9,11,15], [1,5,6,7,8],[1,5,6,7,15],[1,5,6,8,14], [1,5,6,14,15],[1,5,7,8,14],[1,5,7,13,14], [1,5,7,13,15],[1,5,13,14,15],[1,7,8,10,14], [1,7,9,10,14],[1,7,9,13,14],[1,7,9,13,15], [1,9,10,11,12],[1,9,10,11,15],[1,9,10,14,15], [1,9,13,14,15],[2,3,4,5,9],[2,3,4,5,13], [2,3,4,8,9],[2,3,4,12,13],[2,3,5,9,11], [2,3,5,11,13],[2,3,7,8,9],[2,3,7,9,15], [2,3,9,11,15],[2,3,11,12,13],[2,4,5,9,11], [2,4,5,11,13],[2,4,8,9,11],[2,4,8,10,11], [2,4,10,11,13],[2,4,10,12,13],[2,6,7,8,9], [2,6,7,9,15],[2,6,8,9,15],[2,6,8,14,15], [2,8,9,11,15],[2,8,10,11,15],[2,8,10,14,15], [2,10,11,12,13],[3,4,5,6,10],[3,4,5,6,14], [3,4,5,9,10],[3,4,5,13,14],[3,4,6,10,12], [3,4,6,12,14],[3,4,8,9,10],[3,4,12,13,14], [3,5,6,10,12],[3,5,6,12,14],[3,5,9,10,12], [3,5,9,11,12],[3,5,11,12,14],[3,5,11,13,14], [3,7,8,9,10],[3,11,12,13,14],[4,5,6,7,11], [4,5,6,7,15],[4,5,6,10,11],[4,5,6,14,15], [4,5,7,11,13],[4,5,7,13,15],[4,5,9,10,11], [4,5,13,14,15],[4,6,7,11,13],[4,6,7,13,15], [4,6,10,11,13],[4,6,10,12,13],[4,6,12,13,15], [4,6,12,14,15],[4,8,9,10,11],[4,12,13,14,15], [5,6,7,8,12],[5,6,7,11,12],[5,6,8,12,14], [5,6,10,11,12],[5,7,8,12,14],[5,7,11,12,14], [5,7,11,13,14],[5,9,10,11,12],[6,7,8,9,13], [6,7,8,12,13],[6,7,9,13,15],[6,7,11,12,13], [6,8,9,13,15],[6,8,12,13,15],[6,8,12,14,15], [6,10,11,12,13],[7,8,9,10,14],[7,8,9,13,14], [7,8,12,13,14],[7,11,12,13,14],[8,9,10,11,15], [8,9,10,14,15],[8,9,13,14,15],[8,12,13,14,15]] manifold_4_15_2_11=[[1,2,3,4,9],[1,2,3,4,11],[1,2,3,7,8], [1,2,3,7,9],[1,2,3,8,15],[1,2,3,10,12], [1,2,3,10,15],[1,2,3,11,12],[1,2,4,9,11], [1,2,6,7,8],[1,2,6,7,15],[1,2,6,8,15], [1,2,7,9,14],[1,2,7,14,15],[1,2,9,11,15], [1,2,9,14,15],[1,2,10,11,12],[1,2,10,11,15], [1,3,4,9,11],[1,3,7,8,9],[1,3,8,9,11], [1,3,8,10,11],[1,3,8,10,15],[1,3,10,11,12], [1,5,6,7,14],[1,5,6,7,15],[1,5,6,14,15], [1,5,7,14,15],[1,6,7,8,9],[1,6,7,9,14], [1,6,8,9,14],[1,6,8,13,14],[1,6,8,13,15], [1,6,13,14,15],[1,8,9,10,11],[1,8,9,10,14], [1,8,10,14,15],[1,8,13,14,15],[1,9,10,11,15], [1,9,10,14,15],[2,3,4,5,10],[2,3,4,5,12], [2,3,4,8,9],[2,3,4,8,10],[2,3,4,11,13], [2,3,4,12,13],[2,3,5,10,12],[2,3,7,8,9], [2,3,8,10,15],[2,3,11,12,13],[2,4,5,10,12], [2,4,8,9,10],[2,4,9,10,12],[2,4,9,11,12], [2,4,11,12,13],[2,6,7,8,15],[2,7,8,9,10], [2,7,8,10,15],[2,7,9,10,15],[2,7,9,14,15], [2,9,10,11,12],[2,9,10,11,15],[3,4,5,6,11], [3,4,5,6,13],[3,4,5,9,10],[3,4,5,9,11], [3,4,5,12,14],[3,4,5,13,14],[3,4,6,11,13], [3,4,8,9,10],[3,4,12,13,14],[3,5,6,11,13], [3,5,9,10,11],[3,5,10,11,13],[3,5,10,12,13], [3,5,12,13,14],[3,8,9,10,11],[3,10,11,12,13], [4,5,6,7,12],[4,5,6,7,14],[4,5,6,10,11], [4,5,6,10,12],[4,5,6,13,15],[4,5,6,14,15], [4,5,7,12,14],[4,5,9,10,11],[4,5,13,14,15], [4,6,7,12,14],[4,6,10,11,12],[4,6,11,12,14], [4,6,11,13,14],[4,6,13,14,15],[4,9,10,11,12], [4,11,12,13,14],[5,6,7,8,13],[5,6,7,8,15], [5,6,7,11,12],[5,6,7,11,13],[5,6,8,13,15], [5,6,10,11,12],[5,7,8,13,15],[5,7,11,12,13], [5,7,12,13,15],[5,7,12,14,15],[5,10,11,12,13], [5,12,13,14,15],[6,7,8,9,14],[6,7,8,12,13], [6,7,8,12,14],[6,7,11,12,13],[6,8,12,13,14], [6,11,12,13,14],[7,8,9,10,15],[7,8,9,13,14], [7,8,9,13,15],[7,8,12,13,14],[7,9,13,14,15], [7,12,13,14,15],[8,9,10,14,15],[8,9,13,14,15]] manifold_4_15_2_12=[[1,2,3,5,6],[1,2,3,5,13],[1,2,3,6,14], [1,2,3,13,14],[1,2,4,5,6],[1,2,4,5,15], [1,2,4,6,12],[1,2,4,12,15],[1,2,5,13,15], [1,2,6,12,14],[1,2,12,13,14],[1,2,12,13,15], [1,3,4,5,8],[1,3,4,5,15],[1,3,4,8,14], [1,3,4,14,15],[1,3,5,6,10],[1,3,5,8,10], [1,3,5,11,13],[1,3,5,11,15],[1,3,6,8,10], [1,3,6,8,14],[1,3,9,11,13],[1,3,9,11,14], [1,3,9,13,14],[1,3,11,14,15],[1,4,5,6,8], [1,4,6,8,14],[1,4,6,12,14],[1,4,12,14,15], [1,5,6,8,10],[1,5,11,13,15],[1,7,9,11,12], [1,7,9,11,14],[1,7,9,12,14],[1,7,11,12,14], [1,9,11,12,13],[1,9,12,13,14],[1,11,12,13,15], [1,11,12,14,15],[2,3,4,6,7],[2,3,4,6,14], [2,3,4,7,15],[2,3,4,14,15],[2,3,5,6,7], [2,3,5,7,13],[2,3,7,13,15],[2,3,13,14,15], [2,4,5,6,9],[2,4,5,9,15],[2,4,6,7,11], [2,4,6,9,11],[2,4,6,12,14],[2,4,7,9,11], [2,4,7,9,15],[2,4,10,12,14],[2,4,10,12,15], [2,4,10,14,15],[2,5,6,7,9],[2,5,7,9,15], [2,5,7,13,15],[2,6,7,9,11],[2,8,10,12,13], [2,8,10,12,15],[2,8,10,13,15],[2,8,12,13,15], [2,10,12,13,14],[2,10,13,14,15],[3,4,5,7,8], [3,4,5,7,15],[3,4,6,7,8],[3,4,6,8,14], [3,5,6,7,10],[3,5,7,8,12],[3,5,7,10,12], [3,5,7,13,15],[3,5,8,10,12],[3,5,11,13,15], [3,6,7,8,10],[3,7,8,10,12],[3,9,11,13,14], [3,11,13,14,15],[4,5,6,8,9],[4,5,7,8,9], [4,5,7,9,15],[4,6,7,8,11],[4,6,8,9,13], [4,6,8,11,13],[4,6,9,11,13],[4,7,8,9,11], [4,8,9,11,13],[4,10,12,14,15],[5,6,7,9,10], [5,6,8,9,10],[5,7,8,9,12],[5,7,9,10,14], [5,7,9,12,14],[5,7,10,12,14],[5,8,9,10,12], [5,9,10,12,14],[6,7,8,10,11],[6,7,9,10,11], [6,8,9,10,13],[6,8,10,11,15],[6,8,10,13,15], [6,8,11,13,15],[6,9,10,11,13],[6,10,11,13,15], [7,8,9,11,12],[7,8,10,11,12],[7,9,10,11,14], [7,10,11,12,14],[8,9,10,12,13],[8,9,11,12,13], [8,10,11,12,15],[8,11,12,13,15],[9,10,11,13,14], [9,10,12,13,14],[10,11,12,14,15],[10,11,13,14,15]] manifold_4_15_2_13=[[1,2,3,5,6],[1,2,3,5,13],[1,2,3,6,14], [1,2,3,13,14],[1,2,4,5,6],[1,2,4,5,15], [1,2,4,6,14],[1,2,4,12,14],[1,2,4,12,15], [1,2,5,13,15],[1,2,12,13,14],[1,2,12,13,15], [1,3,4,5,8],[1,3,4,5,15],[1,3,4,6,8], [1,3,4,6,14],[1,3,4,14,15],[1,3,5,6,8], [1,3,5,13,15],[1,3,11,13,14],[1,3,11,13,15], [1,3,11,14,15],[1,4,5,6,8],[1,4,12,14,15], [1,9,11,12,13],[1,9,11,12,14],[1,9,11,13,14], [1,9,12,13,14],[1,11,12,13,15],[1,11,12,14,15], [2,3,4,6,7],[2,3,4,6,14],[2,3,4,7,15], [2,3,4,14,15],[2,3,5,6,7],[2,3,5,7,15], [2,3,5,13,15],[2,3,13,14,15],[2,4,5,6,9], [2,4,5,7,9],[2,4,5,7,15],[2,4,6,7,9], [2,4,12,14,15],[2,5,6,7,9],[2,10,12,13,14], [2,10,12,13,15],[2,10,12,14,15],[2,10,13,14,15], [3,4,5,7,8],[3,4,5,7,15],[3,4,6,7,8], [3,5,6,7,10],[3,5,6,8,10],[3,5,7,8,10], [3,6,7,8,10],[3,11,13,14,15],[4,5,6,8,9], [4,5,7,8,9],[4,6,7,8,11],[4,6,7,9,11], [4,6,8,9,11],[4,7,8,9,11],[5,6,7,9,10], [5,6,8,9,10],[5,7,8,9,12],[5,7,8,10,12], [5,7,9,10,12],[5,8,9,10,12],[6,7,8,10,11], [6,7,9,10,11],[6,8,9,10,13],[6,8,9,11,13], [6,8,10,11,13],[6,9,10,11,13],[7,8,9,11,12], [7,8,10,11,12],[7,9,10,11,14],[7,9,10,12,14], [7,9,11,12,14],[7,10,11,12,14],[8,9,10,12,13], [8,9,11,12,13],[8,10,11,12,15],[8,10,11,13,15], [8,10,12,13,15],[8,11,12,13,15],[9,10,11,13,14], [9,10,12,13,14],[10,11,12,14,15],[10,11,13,14,15]] manifold_4_15_2_14=[[1,2,3,6,7],[1,2,3,6,8],[1,2,3,7,11], [1,2,3,8,12],[1,2,3,11,13],[1,2,3,12,13], [1,2,5,6,7],[1,2,5,6,15],[1,2,5,7,15], [1,2,6,8,12],[1,2,6,10,12],[1,2,6,10,15], [1,2,7,11,15],[1,2,10,12,15],[1,2,11,12,13], [1,2,11,12,15],[1,3,6,7,8],[1,3,7,8,12], [1,3,7,11,12],[1,3,11,12,13],[1,4,5,6,14], [1,4,5,6,15],[1,4,5,14,15],[1,4,6,14,15], [1,5,6,7,12],[1,5,6,10,12],[1,5,6,10,14], [1,5,7,11,12],[1,5,7,11,15],[1,5,9,10,11], [1,5,9,10,14],[1,5,9,11,15],[1,5,9,14,15], [1,5,10,11,12],[1,6,7,8,12],[1,6,10,14,15], [1,9,10,11,14],[1,9,11,14,15],[1,10,11,12,15], [1,10,11,14,15],[2,3,4,7,8],[2,3,4,7,9], [2,3,4,8,12],[2,3,4,9,13],[2,3,4,12,14], [2,3,4,13,14],[2,3,6,7,8],[2,3,7,9,13], [2,3,7,11,13],[2,3,12,13,14],[2,4,7,8,9], [2,4,8,9,13],[2,4,8,12,13],[2,4,12,13,14], [2,5,6,7,15],[2,6,7,8,13],[2,6,7,11,13], [2,6,7,11,15],[2,6,8,12,13],[2,6,10,11,12], [2,6,10,11,15],[2,6,11,12,13],[2,7,8,9,13], [2,10,11,12,15],[3,4,5,8,9],[3,4,5,8,10], [3,4,5,9,13],[3,4,5,10,14],[3,4,5,13,15], [3,4,5,14,15],[3,4,7,8,9],[3,4,8,10,14], [3,4,8,12,14],[3,4,13,14,15],[3,5,8,9,10], [3,5,9,10,14],[3,5,9,13,14],[3,5,13,14,15], [3,7,8,9,14],[3,7,8,12,14],[3,7,9,13,14], [3,7,11,12,13],[3,7,12,13,14],[3,8,9,10,14], [4,5,6,9,10],[4,5,6,9,11],[4,5,6,10,14], [4,5,6,11,15],[4,5,8,9,10],[4,5,9,11,15], [4,5,9,13,15],[4,6,9,10,11],[4,6,10,11,15], [4,6,10,14,15],[4,8,9,10,15],[4,8,9,13,15], [4,8,10,14,15],[4,8,12,13,14],[4,8,13,14,15], [4,9,10,11,15],[5,6,7,10,11],[5,6,7,10,12], [5,6,7,11,15],[5,6,9,10,11],[5,7,10,11,12], [5,9,13,14,15],[6,7,8,11,12],[6,7,8,11,13], [6,7,10,11,12],[6,8,11,12,13],[7,8,9,12,13], [7,8,9,12,14],[7,8,11,12,13],[7,9,12,13,14], [8,9,10,13,14],[8,9,10,13,15],[8,9,12,13,14], [8,10,13,14,15],[9,10,11,14,15],[9,10,13,14,15]] manifold_4_15_2_15=[[1,2,3,6,7],[1,2,3,6,12],[1,2,3,7,13], [1,2,3,12,13],[1,2,5,6,7],[1,2,5,6,15], [1,2,5,7,10],[1,2,5,10,11],[1,2,5,11,15], [1,2,6,12,15],[1,2,7,8,11],[1,2,7,8,13], [1,2,7,10,11],[1,2,8,11,13],[1,2,11,12,13], [1,2,11,12,15],[1,3,6,7,13],[1,3,6,12,13], [1,4,5,6,10],[1,4,5,6,15],[1,4,5,10,11], [1,4,5,11,14],[1,4,5,14,15],[1,4,6,9,10], [1,4,6,9,15],[1,4,9,10,15],[1,4,10,11,14], [1,4,10,14,15],[1,5,6,7,10],[1,5,11,14,15], [1,6,7,10,15],[1,6,7,12,13],[1,6,7,12,15], [1,6,9,10,15],[1,7,8,11,13],[1,7,10,11,12], [1,7,10,12,15],[1,7,11,12,13],[1,10,11,12,15], [1,10,11,14,15],[2,3,4,7,8],[2,3,4,7,13], [2,3,4,8,14],[2,3,4,13,14],[2,3,6,7,8], [2,3,6,8,11],[2,3,6,11,12],[2,3,8,9,12], [2,3,8,9,14],[2,3,8,11,12],[2,3,9,12,14], [2,3,12,13,14],[2,4,7,8,14],[2,4,7,13,14], [2,5,6,7,11],[2,5,6,11,12],[2,5,6,12,15], [2,5,7,10,11],[2,5,11,12,15],[2,6,7,8,11], [2,7,8,13,14],[2,8,9,12,14],[2,8,11,12,13], [2,8,12,13,14],[3,4,5,8,9],[3,4,5,8,14], [3,4,5,9,15],[3,4,5,14,15],[3,4,7,8,9], [3,4,7,9,12],[3,4,7,12,13],[3,4,9,10,13], [3,4,9,10,15],[3,4,9,12,13],[3,4,10,13,15], [3,4,13,14,15],[3,5,8,9,15],[3,5,8,14,15], [3,6,7,8,12],[3,6,7,12,13],[3,6,8,11,12], [3,7,8,9,12],[3,8,9,14,15],[3,9,10,13,15], [3,9,12,13,14],[3,9,13,14,15],[4,5,6,9,10], [4,5,6,9,15],[4,5,8,9,10],[4,5,8,10,13], [4,5,8,13,14],[4,5,10,11,14],[4,5,10,13,14], [4,7,8,9,13],[4,7,8,13,14],[4,7,9,12,13], [4,8,9,10,13],[4,10,13,14,15],[5,6,7,10,11], [5,6,9,10,11],[5,6,9,11,14],[5,6,9,14,15], [5,6,11,12,15],[5,6,11,14,15],[5,8,9,10,14], [5,8,9,14,15],[5,8,10,13,14],[5,9,10,11,14], [6,7,8,11,12],[6,7,10,11,12],[6,7,10,12,15], [6,9,10,11,15],[6,9,11,14,15],[6,10,11,12,15], [7,8,9,12,13],[7,8,11,12,13],[8,9,10,13,14], [8,9,12,13,14],[9,10,11,14,15],[9,10,13,14,15]] manifold_4_15_2_16=[[1,2,3,6,7],[1,2,3,6,12],[1,2,3,7,13], [1,2,3,12,13],[1,2,5,6,7],[1,2,5,6,15], [1,2,5,7,11],[1,2,5,11,15],[1,2,6,12,15], [1,2,7,11,13],[1,2,11,12,13],[1,2,11,12,15], [1,3,6,7,12],[1,3,7,12,13],[1,4,5,6,10], [1,4,5,6,15],[1,4,5,10,14],[1,4,5,14,15], [1,4,6,10,15],[1,4,10,14,15],[1,5,6,7,10], [1,5,7,10,11],[1,5,10,11,14],[1,5,11,14,15], [1,6,7,10,12],[1,6,10,12,15],[1,7,10,11,12], [1,7,11,12,13],[1,10,11,12,15],[1,10,11,14,15], [2,3,4,7,8],[2,3,4,7,13],[2,3,4,8,14], [2,3,4,13,14],[2,3,6,7,8],[2,3,6,8,12], [2,3,8,12,14],[2,3,12,13,14],[2,4,7,8,13], [2,4,8,13,14],[2,5,6,7,11],[2,5,6,11,15], [2,6,7,8,11],[2,6,8,11,12],[2,6,11,12,15], [2,7,8,11,13],[2,8,11,12,13],[2,8,12,13,14], [3,4,5,8,9],[3,4,5,8,14],[3,4,5,9,15], [3,4,5,14,15],[3,4,7,8,9],[3,4,7,9,13], [3,4,9,13,15],[3,4,13,14,15],[3,5,8,9,14], [3,5,9,14,15],[3,6,7,8,12],[3,7,8,9,12], [3,7,9,12,13],[3,8,9,12,14],[3,9,12,13,14], [3,9,13,14,15],[4,5,6,9,10],[4,5,6,9,15], [4,5,8,9,10],[4,5,8,10,14],[4,6,9,10,15], [4,7,8,9,13],[4,8,9,10,13],[4,8,10,13,14], [4,9,10,13,15],[4,10,13,14,15],[5,6,7,10,11], [5,6,9,10,11],[5,6,9,11,15],[5,8,9,10,14], [5,9,10,11,14],[5,9,11,14,15],[6,7,8,11,12], [6,7,10,11,12],[6,9,10,11,15],[6,10,11,12,15], [7,8,9,12,13],[7,8,11,12,13],[8,9,10,13,14], [8,9,12,13,14],[9,10,11,14,15],[9,10,13,14,15]] manifold_4_15_2_17=[[1,2,3,6,7],[1,2,3,6,12],[1,2,3,7,13], [1,2,3,12,13],[1,2,5,6,7],[1,2,5,6,15], [1,2,5,7,13],[1,2,5,11,13],[1,2,5,11,15], [1,2,6,12,15],[1,2,11,12,13],[1,2,11,12,15], [1,3,6,7,10],[1,3,6,10,12],[1,3,7,9,12], [1,3,7,9,13],[1,3,7,10,12],[1,3,9,12,13], [1,4,5,6,10],[1,4,5,6,15],[1,4,5,8,10], [1,4,5,8,14],[1,4,5,14,15],[1,4,6,10,12], [1,4,6,12,15],[1,4,8,10,14],[1,4,10,12,15], [1,4,10,14,15],[1,5,6,7,10],[1,5,7,10,14], [1,5,7,11,13],[1,5,7,11,14],[1,5,8,10,14], [1,5,11,14,15],[1,7,9,12,13],[1,7,10,11,12], [1,7,10,11,14],[1,7,11,12,13],[1,10,11,12,15], [1,10,11,14,15],[2,3,4,7,8],[2,3,4,7,13], [2,3,4,8,14],[2,3,4,13,14],[2,3,6,7,8], [2,3,6,8,14],[2,3,6,12,14],[2,3,12,13,14], [2,4,7,8,11],[2,4,7,11,13],[2,4,8,10,13], [2,4,8,10,14],[2,4,8,11,13],[2,4,10,13,14], [2,5,6,7,11],[2,5,6,9,11],[2,5,6,9,15], [2,5,7,11,13],[2,5,9,11,15],[2,6,7,8,11], [2,6,8,11,15],[2,6,8,12,14],[2,6,8,12,15], [2,6,9,11,15],[2,8,10,13,14],[2,8,11,12,13], [2,8,11,12,15],[2,8,12,13,14],[3,4,5,8,9], [3,4,5,8,14],[3,4,5,9,15],[3,4,5,14,15], [3,4,7,8,9],[3,4,7,9,15],[3,4,7,13,15], [3,4,13,14,15],[3,5,8,9,12],[3,5,8,12,14], [3,5,9,11,14],[3,5,9,11,15],[3,5,9,12,14], [3,5,11,14,15],[3,6,7,8,12],[3,6,7,10,12], [3,6,8,12,14],[3,7,8,9,12],[3,7,9,13,15], [3,9,11,14,15],[3,9,12,13,14],[3,9,13,14,15], [4,5,6,9,10],[4,5,6,9,15],[4,5,8,9,10], [4,6,9,10,13],[4,6,9,13,15],[4,6,10,12,15], [4,6,10,13,15],[4,7,8,9,13],[4,7,8,11,13], [4,7,9,13,15],[4,8,9,10,13],[4,10,13,14,15], [5,6,7,10,11],[5,6,9,10,11],[5,7,10,11,14], [5,8,9,10,14],[5,8,9,12,14],[5,9,10,11,14], [6,7,8,11,12],[6,7,10,11,12],[6,8,11,12,15], [6,9,10,11,15],[6,9,10,13,15],[6,10,11,12,15], [7,8,9,12,13],[7,8,11,12,13],[8,9,10,13,14], [8,9,12,13,14],[9,10,11,14,15],[9,10,13,14,15]] manifold_4_15_2_18=[[1,2,3,6,8],[1,2,3,6,12],[1,2,3,7,8], [1,2,3,7,13],[1,2,3,11,12],[1,2,3,11,13], [1,2,5,7,11],[1,2,5,7,15],[1,2,5,11,15], [1,2,6,7,8],[1,2,6,7,15],[1,2,6,12,15], [1,2,7,11,13],[1,2,10,11,12],[1,2,10,11,15], [1,2,10,12,15],[1,3,6,7,8],[1,3,6,7,12], [1,3,7,12,13],[1,3,11,12,13],[1,4,5,6,10], [1,4,5,6,14],[1,4,5,10,14],[1,4,6,10,15], [1,4,6,14,15],[1,4,10,14,15],[1,5,6,7,10], [1,5,6,7,15],[1,5,6,14,15],[1,5,7,10,11], [1,5,10,11,14],[1,5,11,14,15],[1,6,7,10,12], [1,6,10,12,15],[1,7,10,11,12],[1,7,11,12,13], [1,9,10,11,14],[1,9,10,11,15],[1,9,10,14,15], [1,9,11,14,15],[2,3,4,7,9],[2,3,4,7,13], [2,3,4,8,9],[2,3,4,8,14],[2,3,4,12,13], [2,3,4,12,14],[2,3,6,8,12],[2,3,7,8,9], [2,3,8,12,14],[2,3,11,12,13],[2,4,7,8,9], [2,4,7,8,13],[2,4,8,13,14],[2,4,12,13,14], [2,5,6,7,11],[2,5,6,7,15],[2,5,6,11,15], [2,6,7,8,11],[2,6,8,11,12],[2,6,11,12,15], [2,7,8,11,13],[2,8,11,12,13],[2,8,12,13,14], [2,10,11,12,15],[3,4,5,8,10],[3,4,5,8,14], [3,4,5,9,10],[3,4,5,9,15],[3,4,5,13,14], [3,4,5,13,15],[3,4,7,9,13],[3,4,8,9,10], [3,4,9,13,15],[3,4,12,13,14],[3,5,8,9,10], [3,5,8,9,14],[3,5,9,14,15],[3,5,13,14,15], [3,6,7,8,12],[3,7,8,9,12],[3,7,9,12,13], [3,8,9,12,14],[3,9,12,13,14],[3,9,13,14,15], [4,5,6,9,11],[4,5,6,9,15],[4,5,6,10,11], [4,5,6,14,15],[4,5,8,10,14],[4,5,9,10,11], [4,5,13,14,15],[4,6,9,10,11],[4,6,9,10,15], [4,7,8,9,13],[4,8,9,10,13],[4,8,10,13,14], [4,9,10,13,15],[4,10,13,14,15],[5,6,7,10,12], [5,6,7,11,12],[5,6,9,11,15],[5,6,10,11,12], [5,7,10,11,12],[5,8,9,10,14],[5,9,10,11,14], [5,9,11,14,15],[6,7,8,11,13],[6,7,8,12,13], [6,7,11,12,13],[6,8,11,12,13],[6,9,10,11,15], [6,10,11,12,15],[7,8,9,12,14],[7,8,9,13,14], [7,8,12,13,14],[7,9,12,13,14],[8,9,10,13,15], [8,9,10,14,15],[8,9,13,14,15],[8,10,13,14,15]] manifold_4_15_2_19=[[1,2,4,5,7],[1,2,4,5,14],[1,2,4,7,8], [1,2,4,8,10],[1,2,4,10,13],[1,2,4,13,14], [1,2,5,7,8],[1,2,5,8,14],[1,2,8,10,14], [1,2,10,11,13],[1,2,10,11,14],[1,2,11,13,14], [1,3,4,6,7],[1,3,4,6,15],[1,3,4,7,10], [1,3,4,10,12],[1,3,4,12,13],[1,3,4,13,15], [1,3,6,7,15],[1,3,7,9,10],[1,3,7,9,15], [1,3,9,10,12],[1,3,9,12,15],[1,3,12,13,15], [1,4,5,7,13],[1,4,5,13,14],[1,4,6,7,15], [1,4,7,8,10],[1,4,7,13,15],[1,4,10,12,13], [1,5,7,8,14],[1,5,7,13,14],[1,7,8,10,14], [1,7,9,10,13],[1,7,9,13,15],[1,7,10,13,14], [1,9,10,12,15],[1,9,10,13,15],[1,10,11,13,14], [1,10,12,13,15],[2,3,5,6,8],[2,3,5,6,15], [2,3,5,8,9],[2,3,5,9,11],[2,3,5,11,14], [2,3,5,14,15],[2,3,6,8,9],[2,3,6,9,15], [2,3,9,11,15],[2,3,11,12,14],[2,3,11,12,15], [2,3,12,14,15],[2,4,5,7,8],[2,4,5,8,11], [2,4,5,11,13],[2,4,5,13,14],[2,4,8,10,11], [2,4,10,11,13],[2,5,6,8,14],[2,5,6,14,15], [2,5,8,9,11],[2,5,11,13,14],[2,6,8,9,15], [2,6,8,14,15],[2,8,9,11,15],[2,8,10,11,14], [2,8,11,14,15],[2,11,12,14,15],[3,4,6,7,9], [3,4,6,9,10],[3,4,6,10,12],[3,4,6,12,15], [3,4,7,9,10],[3,4,12,13,15],[3,5,6,8,9], [3,5,6,9,12],[3,5,6,12,14],[3,5,6,14,15], [3,5,9,11,12],[3,5,11,12,14],[3,6,7,9,15], [3,6,9,10,12],[3,6,12,14,15],[3,9,11,12,15], [4,5,7,8,10],[4,5,7,10,11],[4,5,7,11,13], [4,5,8,10,11],[4,6,7,9,10],[4,6,7,10,13], [4,6,7,13,15],[4,6,10,12,13],[4,6,12,13,15], [4,7,10,11,13],[5,6,8,9,11],[5,6,8,11,12], [5,6,8,12,14],[5,6,9,11,12],[5,7,8,10,11], [5,7,8,11,14],[5,7,11,13,14],[5,8,11,12,14], [6,7,9,10,12],[6,7,9,12,13],[6,7,9,13,15], [6,7,10,12,13],[6,8,9,11,12],[6,8,9,12,15], [6,8,12,14,15],[6,9,12,13,15],[7,8,10,11,13], [7,8,10,13,14],[7,8,11,13,14],[7,9,10,12,13], [8,9,11,12,14],[8,9,11,14,15],[8,9,12,14,15], [8,10,11,13,14],[9,10,12,13,15],[9,11,12,14,15]] manifold_4_15_2_20=[[1,2,4,5,7],[1,2,4,5,14],[1,2,4,7,10], [1,2,4,10,11],[1,2,4,11,13],[1,2,4,13,14], [1,2,5,7,14],[1,2,7,8,10],[1,2,7,8,14], [1,2,8,10,11],[1,2,8,11,14],[1,2,11,13,14], [1,3,4,6,7],[1,3,4,6,15],[1,3,4,7,9], [1,3,4,9,10],[1,3,4,10,13],[1,3,4,13,15], [1,3,6,7,9],[1,3,6,9,15],[1,3,9,10,15], [1,3,10,12,13],[1,3,10,12,15],[1,3,12,13,15], [1,4,5,7,14],[1,4,6,7,13],[1,4,6,13,15], [1,4,7,9,10],[1,4,7,13,14],[1,4,10,11,13], [1,6,7,9,15],[1,6,7,13,15],[1,7,8,10,13], [1,7,8,13,14],[1,7,9,10,15],[1,7,10,13,15], [1,8,10,11,14],[1,8,10,13,14],[1,10,11,13,14], [1,10,12,13,15],[2,3,5,6,8],[2,3,5,6,15], [2,3,5,8,11],[2,3,5,11,12],[2,3,5,12,14], [2,3,5,14,15],[2,3,6,8,15],[2,3,8,9,11], [2,3,8,9,15],[2,3,9,11,12],[2,3,9,12,15], [2,3,12,14,15],[2,4,5,7,8],[2,4,5,8,10], [2,4,5,10,11],[2,4,5,11,14],[2,4,7,8,10], [2,4,11,13,14],[2,5,6,8,15],[2,5,7,8,14], [2,5,8,10,11],[2,5,8,14,15],[2,5,11,12,14], [2,8,9,11,14],[2,8,9,14,15],[2,9,11,12,15], [2,9,11,14,15],[2,11,12,14,15],[3,4,6,7,9], [3,4,6,9,12],[3,4,6,12,13],[3,4,6,13,15], [3,4,9,10,12],[3,4,10,12,13],[3,5,6,8,9], [3,5,6,9,11],[3,5,6,11,12],[3,5,6,12,15], [3,5,8,9,11],[3,5,12,14,15],[3,6,8,9,15], [3,6,9,11,12],[3,6,12,13,15],[3,9,10,12,15], [4,5,7,8,10],[4,5,7,10,13],[4,5,7,13,14], [4,5,10,11,13],[4,5,11,13,14],[4,6,7,9,10], [4,6,7,10,12],[4,6,7,12,13],[4,6,9,10,12], [4,7,10,12,13],[5,6,8,9,11],[5,6,8,11,14], [5,6,8,14,15],[5,6,11,12,14],[5,6,12,14,15], [5,7,8,10,11],[5,7,8,11,13],[5,7,8,13,14], [5,7,10,11,13],[5,8,11,13,14],[6,7,9,10,12], [6,7,9,12,15],[6,7,12,13,15],[6,8,9,11,12], [6,8,9,12,14],[6,8,9,14,15],[6,8,11,12,14], [6,9,12,14,15],[7,8,10,11,13],[7,9,10,12,13], [7,9,10,13,15],[7,9,12,13,15],[8,9,11,12,14], [8,10,11,13,14],[9,10,12,13,15],[9,11,12,14,15]] manifold_4_15_2_21=[[1,2,4,5,7],[1,2,4,5,14],[1,2,4,7,13], [1,2,4,13,14],[1,2,5,7,10],[1,2,5,10,11], [1,2,5,11,14],[1,2,7,8,11],[1,2,7,8,13], [1,2,7,10,11],[1,2,8,11,13],[1,2,11,13,14], [1,3,4,6,7],[1,3,4,6,15],[1,3,4,7,13], [1,3,4,13,15],[1,3,6,7,13],[1,3,6,12,13], [1,3,6,12,15],[1,3,12,13,15],[1,4,5,7,10], [1,4,5,10,11],[1,4,5,11,14],[1,4,6,7,10], [1,4,6,9,10],[1,4,6,9,15],[1,4,9,10,15], [1,4,10,11,14],[1,4,10,13,14],[1,4,10,13,15], [1,6,7,10,15],[1,6,7,12,13],[1,6,7,12,15], [1,6,9,10,15],[1,7,8,11,13],[1,7,10,11,13], [1,7,10,12,13],[1,7,10,12,15],[1,10,11,13,14], [1,10,12,13,15],[2,3,5,6,8],[2,3,5,6,15], [2,3,5,8,14],[2,3,5,14,15],[2,3,6,8,11], [2,3,6,11,12],[2,3,6,12,15],[2,3,8,9,12], [2,3,8,9,14],[2,3,8,11,12],[2,3,9,12,14], [2,3,12,14,15],[2,4,5,7,8],[2,4,5,8,14], [2,4,7,8,14],[2,4,7,13,14],[2,5,6,8,11], [2,5,6,11,12],[2,5,6,12,15],[2,5,7,8,11], [2,5,7,10,11],[2,5,11,12,15],[2,5,11,14,15], [2,7,8,13,14],[2,8,9,12,14],[2,8,11,12,14], [2,8,11,13,14],[2,11,12,14,15],[3,4,6,7,9], [3,4,6,9,15],[3,4,7,9,12],[3,4,7,12,13], [3,4,9,10,13],[3,4,9,10,15],[3,4,9,12,13], [3,4,10,13,15],[3,5,6,8,9],[3,5,6,9,15], [3,5,8,9,15],[3,5,8,14,15],[3,6,7,9,12], [3,6,7,12,13],[3,6,8,9,12],[3,6,8,11,12], [3,8,9,14,15],[3,9,10,13,15],[3,9,12,13,15], [3,9,12,14,15],[4,5,7,8,10],[4,5,8,10,13], [4,5,8,13,14],[4,5,10,11,14],[4,5,10,13,14], [4,6,7,9,10],[4,7,8,10,13],[4,7,8,13,14], [4,7,9,10,13],[4,7,9,12,13],[5,6,8,9,11], [5,6,9,11,14],[5,6,9,14,15],[5,6,11,12,15], [5,6,11,14,15],[5,7,8,10,11],[5,8,9,11,14], [5,8,9,14,15],[5,8,10,11,14],[5,8,10,13,14], [6,7,9,10,12],[6,7,10,12,15],[6,8,9,11,12], [6,9,10,12,15],[6,9,11,12,15],[6,9,11,14,15], [7,8,10,11,13],[7,9,10,12,13],[8,9,11,12,14], [8,10,11,13,14],[9,10,12,13,15],[9,11,12,14,15]] manifold_4_15_2_22=[[1,2,4,5,7],[1,2,4,5,14],[1,2,4,7,13], [1,2,4,13,14],[1,2,5,7,11],[1,2,5,11,14], [1,2,7,11,13],[1,2,11,13,14],[1,3,4,6,7], [1,3,4,6,15],[1,3,4,7,13],[1,3,4,13,15], [1,3,6,7,12],[1,3,6,12,15],[1,3,7,12,13], [1,3,12,13,15],[1,4,5,7,10],[1,4,5,10,14], [1,4,6,7,10],[1,4,6,10,15],[1,4,10,13,14], [1,4,10,13,15],[1,5,7,10,11],[1,5,10,11,14], [1,6,7,10,12],[1,6,10,12,15],[1,7,10,11,13], [1,7,10,12,13],[1,10,11,13,14],[1,10,12,13,15], [2,3,5,6,8],[2,3,5,6,15],[2,3,5,8,14], [2,3,5,14,15],[2,3,6,8,12],[2,3,6,12,15], [2,3,8,12,14],[2,3,12,14,15],[2,4,5,7,8], [2,4,5,8,14],[2,4,7,8,13],[2,4,8,13,14], [2,5,6,8,11],[2,5,6,11,15],[2,5,7,8,11], [2,5,11,14,15],[2,6,8,11,12],[2,6,11,12,15], [2,7,8,11,13],[2,8,11,12,14],[2,8,11,13,14], [2,11,12,14,15],[3,4,6,7,9],[3,4,6,9,15], [3,4,7,9,13],[3,4,9,13,15],[3,5,6,8,9], [3,5,6,9,15],[3,5,8,9,14],[3,5,9,14,15], [3,6,7,9,12],[3,6,8,9,12],[3,7,9,12,13], [3,8,9,12,14],[3,9,12,13,15],[3,9,12,14,15], [4,5,7,8,10],[4,5,8,10,14],[4,6,7,9,10], [4,6,9,10,15],[4,7,8,10,13],[4,7,9,10,13], [4,8,10,13,14],[4,9,10,13,15],[5,6,8,9,11], [5,6,9,11,15],[5,7,8,10,11],[5,8,9,11,14], [5,8,10,11,14],[5,9,11,14,15],[6,7,9,10,12], [6,8,9,11,12],[6,9,10,12,15],[6,9,11,12,15], [7,8,10,11,13],[7,9,10,12,13],[8,9,11,12,14], [8,10,11,13,14],[9,10,12,13,15],[9,11,12,14,15]] manifold_4_15_2_23=[[1,2,4,5,8],[1,2,4,5,13],[1,2,4,7,8], [1,2,4,7,13],[1,2,5,7,8],[1,2,5,7,11], [1,2,5,11,14],[1,2,5,13,14],[1,2,7,11,13], [1,2,10,11,13],[1,2,10,11,14],[1,2,10,13,14], [1,3,4,7,13],[1,3,4,7,15],[1,3,4,12,13], [1,3,4,12,15],[1,3,6,7,12],[1,3,6,7,15], [1,3,6,12,15],[1,3,7,12,13],[1,4,5,7,8], [1,4,5,7,10],[1,4,5,10,14],[1,4,5,13,14], [1,4,6,7,10],[1,4,6,7,15],[1,4,6,10,15], [1,4,10,13,14],[1,4,10,13,15],[1,4,12,13,15], [1,5,7,10,11],[1,5,10,11,14],[1,6,7,10,12], [1,6,10,12,15],[1,7,10,11,13],[1,7,10,12,13], [1,9,10,12,13],[1,9,10,12,15],[1,9,10,13,15], [1,9,12,13,15],[2,3,5,6,9],[2,3,5,6,14], [2,3,5,8,9],[2,3,5,8,14],[2,3,6,8,9], [2,3,6,8,12],[2,3,6,12,15],[2,3,6,14,15], [2,3,8,12,14],[2,3,11,12,14],[2,3,11,12,15], [2,3,11,14,15],[2,4,5,8,14],[2,4,5,13,14], [2,4,7,8,13],[2,4,8,13,14],[2,5,6,8,9], [2,5,6,8,11],[2,5,6,11,15],[2,5,6,14,15], [2,5,7,8,11],[2,5,11,14,15],[2,6,8,11,12], [2,6,11,12,15],[2,7,8,11,13],[2,8,11,12,14], [2,8,11,13,14],[2,10,11,13,14],[3,4,6,7,10], [3,4,6,7,15],[3,4,6,9,10],[3,4,6,9,15], [3,4,7,9,10],[3,4,7,9,13],[3,4,9,13,15], [3,4,12,13,15],[3,5,6,9,15],[3,5,6,14,15], [3,5,8,9,14],[3,5,9,14,15],[3,6,7,9,10], [3,6,7,9,12],[3,6,8,9,12],[3,7,9,12,13], [3,8,9,12,14],[3,9,12,13,15],[3,9,12,14,15], [3,11,12,14,15],[4,5,7,8,11],[4,5,7,10,11], [4,5,8,10,11],[4,5,8,10,14],[4,6,9,10,15], [4,7,8,10,11],[4,7,8,10,13],[4,7,9,10,13], [4,8,10,13,14],[4,9,10,13,15],[5,6,8,9,12], [5,6,8,11,12],[5,6,9,11,12],[5,6,9,11,15], [5,8,9,11,12],[5,8,9,11,14],[5,8,10,11,14], [5,9,11,14,15],[6,7,9,10,13],[6,7,9,12,13], [6,7,10,12,13],[6,9,10,12,13],[6,9,10,12,15], [6,9,11,12,15],[7,8,10,11,14],[7,8,10,13,14], [7,8,11,13,14],[7,10,11,13,14],[8,9,11,12,15], [8,9,11,14,15],[8,9,12,14,15],[8,11,12,14,15]] manifold_4_15_2_24=[[1,2,4,5,10],[1,2,4,5,11],[1,2,4,7,10], [1,2,4,7,14],[1,2,4,11,14],[1,2,5,10,11], [1,2,7,8,11],[1,2,7,8,13],[1,2,7,10,11], [1,2,7,13,14],[1,2,8,11,14],[1,2,8,13,14], [1,3,4,6,9],[1,3,4,6,13],[1,3,4,9,15], [1,3,4,10,13],[1,3,4,10,15],[1,3,6,9,15], [1,3,6,13,15],[1,3,10,13,15],[1,4,5,10,11], [1,4,6,7,9],[1,4,6,7,13],[1,4,7,9,10], [1,4,7,13,14],[1,4,9,10,15],[1,4,10,11,13], [1,4,11,13,14],[1,6,7,9,10],[1,6,7,10,15], [1,6,7,12,13],[1,6,7,12,15],[1,6,9,10,15], [1,6,12,13,15],[1,7,8,10,11],[1,7,8,10,13], [1,7,10,13,15],[1,7,12,13,15],[1,8,10,11,13], [1,8,11,13,14],[2,3,5,6,11],[2,3,5,6,12], [2,3,5,8,11],[2,3,5,8,15],[2,3,5,12,15], [2,3,6,11,12],[2,3,8,9,12],[2,3,8,9,14], [2,3,8,11,12],[2,3,8,14,15],[2,3,9,12,15], [2,3,9,14,15],[2,4,5,7,10],[2,4,5,7,14], [2,4,5,11,14],[2,5,6,11,12],[2,5,7,8,10], [2,5,7,8,14],[2,5,8,10,11],[2,5,8,14,15], [2,5,11,12,14],[2,5,12,14,15],[2,7,8,10,11], [2,7,8,13,14],[2,8,9,11,12],[2,8,9,11,14], [2,9,11,12,14],[2,9,12,14,15],[3,4,6,7,12], [3,4,6,7,13],[3,4,6,9,12],[3,4,7,12,13], [3,4,9,10,13],[3,4,9,10,15],[3,4,9,12,13], [3,5,6,8,11],[3,5,6,8,15],[3,5,6,12,15], [3,6,7,12,13],[3,6,8,9,11],[3,6,8,9,15], [3,6,9,11,12],[3,6,12,13,15],[3,8,9,11,12], [3,8,9,14,15],[3,9,10,12,13],[3,9,10,12,15], [3,10,12,13,15],[4,5,7,8,13],[4,5,7,8,14], [4,5,7,10,13],[4,5,8,13,14],[4,5,10,11,14], [4,5,10,13,14],[4,6,7,9,12],[4,7,8,13,14], [4,7,9,10,12],[4,7,10,12,13],[4,9,10,12,13], [4,10,11,13,14],[5,6,8,9,14],[5,6,8,9,15], [5,6,8,11,14],[5,6,9,14,15],[5,6,11,12,15], [5,6,11,14,15],[5,7,8,10,13],[5,8,9,14,15], [5,8,10,11,13],[5,8,11,13,14],[5,10,11,13,14], [5,11,12,14,15],[6,7,9,10,15],[6,7,9,12,15], [6,8,9,11,14],[6,9,11,12,14],[6,9,12,14,15], [6,11,12,14,15],[7,9,10,12,15],[7,10,12,13,15]]