manifold_2_4_5_1=[[1,2,3],[1,2,4],[1,3,4],[2,3,4]]

manifold_2_6_12_1=[[1,2,3],[1,2,6],[1,3,5],[1,4,5],
  [1,4,6],[2,3,4],[2,4,5],[2,5,6],[3,4,6],[3,5,6]]

manifold_2_6_11_1=[[1,2,3],[1,2,6],[1,3,5],[1,5,6],
  [2,3,4],[2,4,6],[3,4,5],[4,5,6]]

manifold_2_7_4_1=[[1,2,4],[1,2,6],[1,3,4],[1,3,7],
  [1,5,6],[1,5,7],[2,3,5],[2,3,7],[2,4,5],
  [2,6,7],[3,4,6],[3,5,6],[4,5,7],[4,6,7]]

manifold_2_8_15_1=[[1,2,3],[1,2,8],[1,3,6],[1,4,6],
  [1,4,7],[1,7,8],[2,3,4],[2,4,7],[2,5,7],
  [2,5,8],[3,4,5],[3,5,8],[3,6,8],[4,5,6],
  [5,6,7],[6,7,8]]

manifold_2_9_18_1=[[1,3,6],[1,3,7],[1,4,6],[1,4,8],
  [1,5,7],[1,5,8],[2,3,6],[2,3,8],[2,4,7],
  [2,4,8],[2,5,6],[2,5,7],[3,7,9],[3,8,9],
  [4,6,9],[4,7,9],[5,6,9],[5,8,9]]

manifold_2_9_4_1=[[1,2,4],[1,2,5],[1,3,8],[1,3,9],
  [1,4,9],[1,5,6],[1,6,7],[1,7,8],[2,3,7],
  [2,3,9],[2,4,6],[2,5,9],[2,6,8],[2,7,8],
  [3,4,6],[3,4,7],[3,5,6],[3,5,8],[4,5,7],
  [4,5,8],[4,8,9],[5,7,9],[6,7,9],[6,8,9]]

manifold_2_9_3_1=[[1,2,4],[1,2,8],[1,3,4],[1,3,9],
  [1,7,8],[1,7,9],[2,3,5],[2,3,9],[2,4,5],
  [2,8,9],[3,4,6],[3,5,6],[4,5,7],[4,6,7],
  [5,6,8],[5,7,8],[6,7,9],[6,8,9]]

manifold_2_10_7_1=[[1,2,3],[1,2,8],[1,3,7],[1,4,6],
  [1,4,10],[1,5,7],[1,5,9],[1,6,8],[1,9,10],
  [2,3,6],[2,4,7],[2,4,9],[2,5,6],[2,5,10],
  [2,7,10],[2,8,9],[3,4,5],[3,4,10],[3,5,9],
  [3,6,8],[3,7,9],[3,8,10],[4,5,8],[4,6,9],
  [4,7,8],[5,6,7],[5,8,10],[6,7,10],[6,9,10],
  [7,8,9]]

manifold_2_10_3_1=[[1,2,3],[1,2,10],[1,3,7],[1,5,7],
  [1,5,9],[1,9,10],[2,3,4],[2,4,8],[2,6,8],
  [2,6,10],[3,4,5],[3,5,9],[3,7,9],[4,5,6],
  [4,6,10],[4,8,10],[5,6,7],[6,7,8],[7,8,9],
  [8,9,10]]

manifold_2_10_3_2=[[1,2,4],[1,2,9],[1,3,4],[1,3,10],
  [1,8,9],[1,8,10],[2,3,5],[2,3,10],[2,4,5],
  [2,9,10],[3,4,6],[3,5,6],[4,5,7],[4,6,7],
  [5,6,8],[5,7,8],[6,7,9],[6,8,9],[7,8,10],
  [7,9,10]]

manifold_2_11_2_1=[[1,2,4],[1,2,10],[1,3,4],[1,3,11],
  [1,9,10],[1,9,11],[2,3,5],[2,3,11],[2,4,5],
  [2,10,11],[3,4,6],[3,5,6],[4,5,7],[4,6,7],
  [5,6,8],[5,7,8],[6,7,9],[6,8,9],[7,8,10],
  [7,9,10],[8,9,11],[8,10,11]]

manifold_2_12_113_1=[[1,2,4],[1,2,10],[1,3,5],[1,3,11],
  [1,4,9],[1,5,8],[1,8,10],[1,9,11],[2,4,7],
  [2,5,6],[2,5,12],[2,6,10],[2,7,11],[2,11,12],
  [3,4,6],[3,4,12],[3,5,7],[3,6,11],[3,7,10],
  [3,10,12],[4,6,9],[4,7,8],[4,8,12],[5,6,8],
  [5,7,9],[5,9,12],[6,8,11],[6,9,10],[7,8,10],
  [7,9,11],[8,11,12],[9,10,12]]

manifold_2_12_83_1=[[1,2,3],[1,2,12],[1,3,8],[1,6,8],
  [1,6,11],[1,11,12],[2,3,4],[2,4,9],[2,7,9],
  [2,7,12],[3,4,5],[3,5,10],[3,8,10],[4,5,6],
  [4,6,11],[4,9,11],[5,6,7],[5,7,12],[5,10,12],
  [6,7,8],[7,8,9],[8,9,10],[9,10,11],[10,11,12]]

manifold_2_12_76_1=[[1,2,6],[1,2,8],[1,4,8],[1,4,10],
  [1,6,10],[2,5,6],[2,5,11],[2,8,11],[3,4,7],
  [3,4,10],[3,7,12],[3,9,10],[3,9,12],[4,7,8],
  [5,6,9],[5,9,12],[5,11,12],[6,9,10],[7,8,11],
  [7,11,12]]

manifold_2_12_28_1=[[1,2,6],[1,2,9],[1,5,6],[1,5,12],
  [1,8,9],[1,8,12],[2,3,7],[2,3,10],[2,6,7],
  [2,9,10],[3,4,8],[3,4,11],[3,7,8],[3,10,11],
  [4,5,9],[4,5,12],[4,8,9],[4,11,12],[5,6,10],
  [5,9,10],[6,7,11],[6,10,11],[7,8,12],[7,11,12]]

manifold_2_12_12_1=[[1,2,4],[1,2,11],[1,3,4],[1,3,12],
  [1,10,11],[1,10,12],[2,3,5],[2,3,12],[2,4,5],
  [2,11,12],[3,4,6],[3,5,6],[4,5,7],[4,6,7],
  [5,6,8],[5,7,8],[6,7,9],[6,8,9],[7,8,10],
  [7,9,10],[8,9,11],[8,10,11],[9,10,12],[9,11,12]]

manifold_2_12_12_2=[[1,2,5],[1,2,10],[1,4,5],[1,4,12],
  [1,9,10],[1,9,12],[2,3,6],[2,3,11],[2,5,6],
  [2,10,11],[3,4,7],[3,4,12],[3,6,7],[3,11,12],
  [4,5,8],[4,7,8],[5,6,9],[5,8,9],[6,7,10],
  [6,9,10],[7,8,11],[7,10,11],[8,9,12],[8,11,12]]

manifold_2_12_9_1=[[1,2,3],[1,2,12],[1,3,7],[1,5,11],
  [1,5,12],[1,6,8],[1,6,11],[1,7,9],[1,8,9],
  [2,3,10],[2,4,9],[2,4,10],[2,6,7],[2,6,8],
  [2,7,9],[2,8,12],[3,4,8],[3,4,11],[3,5,9],
  [3,5,10],[3,7,8],[3,9,11],[4,5,6],[4,5,9],
  [4,6,12],[4,8,10],[4,11,12],[5,6,7],[5,7,11],
  [5,10,12],[6,10,11],[6,10,12],[7,8,12],[7,11,12],
  [8,9,10],[9,10,11]]

manifold_2_12_8_1=[[1,2,4],[1,2,6],[1,3,7],[1,3,11],
  [1,4,12],[1,6,7],[1,8,11],[1,8,12],[2,4,9],
  [2,5,9],[2,5,11],[2,6,12],[2,10,11],[2,10,12],
  [3,4,7],[3,4,12],[3,6,9],[3,6,10],[3,9,11],
  [3,10,12],[4,5,7],[4,5,8],[4,8,9],[5,6,9],
  [5,6,12],[5,7,11],[5,8,12],[6,7,10],[7,8,10],
  [7,8,11],[8,9,10],[9,10,11]]

manifold_2_12_8_2=[[1,2,4],[1,2,6],[1,3,10],[1,3,11],
  [1,4,5],[1,5,10],[1,6,7],[1,7,12],[1,8,11],
  [1,8,12],[2,3,6],[2,3,8],[2,4,9],[2,5,8],
  [2,5,11],[2,9,12],[2,10,11],[2,10,12],[3,4,7],
  [3,4,12],[3,6,9],[3,7,8],[3,9,11],[3,10,12],
  [4,5,7],[4,6,11],[4,6,12],[4,8,9],[4,8,11],
  [5,6,9],[5,6,12],[5,7,11],[5,8,12],[5,9,10],
  [6,7,10],[6,10,11],[7,8,10],[7,9,11],[7,9,12],
  [8,9,10]]

manifold_2_12_7_1=[[1,2,4],[1,2,5],[1,3,4],[1,3,7],
  [1,5,11],[1,7,9],[1,8,10],[1,8,11],[1,9,10],
  [2,4,8],[2,5,12],[2,6,11],[2,6,12],[2,7,10],
  [2,7,11],[2,8,10],[3,4,12],[3,5,9],[3,5,12],
  [3,6,10],[3,6,11],[3,7,10],[3,9,11],[4,6,9],
  [4,6,10],[4,7,8],[4,7,9],[4,10,12],[5,6,8],
  [5,6,9],[5,7,8],[5,7,11],[6,8,12],[8,11,12],
  [9,10,12],[9,11,12]]

manifold_2_12_6_1=[[1,2,3],[1,2,5],[1,3,11],[1,4,9],
  [1,4,12],[1,5,6],[1,6,8],[1,8,9],[1,11,12],
  [2,3,7],[2,4,6],[2,4,9],[2,5,10],[2,6,12],
  [2,7,12],[2,9,10],[3,4,5],[3,4,8],[3,5,9],
  [3,7,10],[3,8,10],[3,9,11],[4,5,12],[4,6,11],
  [4,8,11],[5,6,7],[5,7,9],[5,10,12],[6,7,10],
  [6,8,12],[6,10,11],[7,8,9],[7,8,11],[7,11,12],
  [8,10,12],[9,10,11]]

manifold_2_12_5_1=[[1,2,3],[1,2,4],[1,3,10],[1,4,5],
  [1,5,9],[1,6,8],[1,6,10],[1,8,11],[1,9,12],
  [1,11,12],[2,3,11],[2,4,9],[2,5,7],[2,5,10],
  [2,6,9],[2,6,10],[2,7,12],[2,11,12],[3,4,5],
  [3,4,6],[3,5,12],[3,6,7],[3,7,11],[3,8,10],
  [3,8,12],[4,6,11],[4,7,9],[4,7,12],[4,8,11],
  [4,8,12],[5,6,7],[5,6,8],[5,8,9],[5,10,12],
  [6,9,11],[7,8,9],[7,8,10],[7,10,11],[9,10,11],
  [9,10,12]]

manifold_2_12_4_1=[[1,2,3],[1,2,4],[1,3,7],[1,4,11],
  [1,5,8],[1,5,9],[1,6,8],[1,6,12],[1,7,9],
  [1,11,12],[2,3,5],[2,4,9],[2,5,12],[2,6,9],
  [2,6,10],[2,7,11],[2,7,12],[2,10,11],[3,4,5],
  [3,4,9],[3,7,11],[3,8,10],[3,8,12],[3,9,10],
  [3,11,12],[4,5,8],[4,6,10],[4,6,11],[4,8,12],
  [4,10,12],[5,6,7],[5,6,9],[5,7,10],[5,10,12],
  [6,7,12],[6,8,11],[7,8,9],[7,8,10],[8,9,11],
  [9,10,11]]

manifold_2_12_4_2=[[1,2,3],[1,2,4],[1,3,8],[1,4,11],
  [1,6,8],[1,6,12],[1,11,12],[2,3,5],[2,4,9],
  [2,5,12],[2,7,9],[2,7,12],[3,4,5],[3,4,9],
  [3,8,10],[3,9,10],[4,5,6],[4,6,11],[5,6,7],
  [5,7,10],[5,10,12],[6,7,12],[6,8,11],[7,8,9],
  [7,8,10],[8,9,11],[9,10,11],[10,11,12]]

manifold_2_12_4_3=[[1,2,3],[1,2,5],[1,3,7],[1,4,9],
  [1,4,12],[1,5,8],[1,6,8],[1,6,11],[1,7,9],
  [1,11,12],[2,3,4],[2,4,9],[2,5,10],[2,6,9],
  [2,6,12],[2,7,11],[2,7,12],[2,10,11],[3,4,5],
  [3,5,9],[3,7,10],[3,8,10],[3,8,12],[3,9,11],
  [3,11,12],[4,5,8],[4,6,10],[4,6,11],[4,8,11],
  [4,10,12],[5,6,7],[5,6,9],[5,7,12],[5,10,12],
  [6,7,10],[6,8,12],[7,8,9],[7,8,11],[8,9,10],
  [9,10,11]]

manifold_2_12_4_4=[[1,2,3],[1,2,5],[1,3,8],[1,4,9],
  [1,4,12],[1,5,9],[1,6,8],[1,6,11],[1,11,12],
  [2,3,4],[2,4,9],[2,5,10],[2,6,10],[2,6,12],
  [2,7,9],[2,7,12],[3,4,5],[3,5,9],[3,7,10],
  [3,7,11],[3,8,10],[3,9,11],[4,5,6],[4,6,11],
  [4,8,11],[4,8,12],[5,6,7],[5,7,12],[5,10,12],
  [6,7,10],[6,8,12],[7,8,9],[7,8,11],[8,9,10],
  [9,10,11],[10,11,12]]

manifold_2_12_4_5=[[1,2,4],[1,2,7],[1,3,8],[1,3,12],
  [1,4,11],[1,5,9],[1,5,11],[1,6,10],[1,6,12],
  [1,7,8],[1,9,10],[2,3,5],[2,3,6],[2,4,8],
  [2,5,12],[2,6,10],[2,7,9],[2,8,10],[2,9,11],
  [2,11,12],[3,4,7],[3,4,9],[3,5,8],[3,6,11],
  [3,7,11],[3,9,10],[3,10,12],[4,5,6],[4,5,10],
  [4,6,9],[4,7,12],[4,8,12],[4,10,11],[5,6,8],
  [5,7,10],[5,7,11],[5,9,12],[6,7,9],[6,7,12],
  [6,8,11],[7,8,10],[8,9,11],[8,9,12],[10,11,12]]

manifold_2_12_4_6=[[1,2,4],[1,2,7],[1,3,8],[1,3,12],
  [1,4,11],[1,6,11],[1,6,12],[1,7,8],[2,3,4],
  [2,3,5],[2,5,12],[2,7,9],[2,9,11],[2,11,12],
  [3,4,9],[3,5,8],[3,9,10],[3,10,12],[4,5,6],
  [4,5,10],[4,6,9],[4,10,11],[5,6,8],[5,7,10],
  [5,7,12],[6,7,9],[6,7,12],[6,8,11],[7,8,10],
  [8,9,10],[8,9,11],[10,11,12]]

manifold_2_12_3_1=[[1,2,4],[1,2,11],[1,3,7],[1,3,9],
  [1,4,5],[1,5,7],[1,8,11],[1,8,12],[1,9,12],
  [2,3,6],[2,3,7],[2,4,7],[2,6,12],[2,8,10],
  [2,8,12],[2,10,11],[3,5,6],[3,5,12],[3,9,11],
  [3,10,11],[3,10,12],[4,5,12],[4,6,10],[4,6,12],
  [4,7,9],[4,8,9],[4,8,10],[5,6,8],[5,7,11],
  [5,8,9],[5,9,11],[6,7,10],[6,7,11],[6,8,11],
  [7,9,10],[9,10,12]]

manifold_2_12_3_2=[[1,2,4],[1,2,11],[1,3,7],[1,3,9],
  [1,4,12],[1,5,7],[1,5,12],[1,8,9],[1,8,11],
  [2,3,10],[2,3,11],[2,4,7],[2,6,7],[2,6,12],
  [2,8,10],[2,8,12],[3,5,6],[3,5,12],[3,6,7],
  [3,9,11],[3,10,12],[4,5,8],[4,5,9],[4,6,10],
  [4,6,12],[4,7,9],[4,8,10],[5,6,8],[5,7,11],
  [5,9,11],[6,8,11],[6,10,11],[7,9,10],[7,10,11],
  [8,9,12],[9,10,12]]

manifold_2_12_3_3=[[1,2,4],[1,2,11],[1,4,5],[1,5,9],
  [1,8,11],[1,8,12],[1,9,12],[2,3,6],[2,3,7],
  [2,4,7],[2,6,10],[2,10,11],[3,5,6],[3,5,12],
  [3,7,11],[3,10,11],[3,10,12],[4,5,12],[4,7,9],
  [4,8,9],[4,8,12],[5,6,8],[5,8,9],[6,7,10],
  [6,7,11],[6,8,11],[7,9,10],[9,10,12]]

manifold_2_12_1_1=[[1,2,3],[1,2,12],[1,3,6],[1,4,8],
  [1,4,11],[1,5,9],[1,5,10],[1,6,9],[1,8,10],
  [1,11,12],[2,3,4],[2,4,7],[2,5,9],[2,5,12],
  [2,6,10],[2,6,11],[2,7,10],[2,9,11],[3,4,5],
  [3,5,8],[3,6,10],[3,7,11],[3,7,12],[3,8,11],
  [3,10,12],[4,5,6],[4,6,9],[4,7,11],[4,8,12],
  [4,9,12],[5,6,7],[5,7,10],[5,8,12],[6,7,8],
  [6,8,11],[7,8,9],[7,9,12],[8,9,10],[9,10,11],
  [10,11,12]]

manifold_2_12_1_2=[[1,2,3],[1,2,12],[1,3,6],[1,4,9],
  [1,4,11],[1,5,8],[1,5,9],[1,6,10],[1,8,10],
  [1,11,12],[2,3,4],[2,4,7],[2,5,10],[2,5,12],
  [2,6,9],[2,6,10],[2,7,11],[2,9,11],[3,4,5],
  [3,5,8],[3,6,11],[3,7,10],[3,7,11],[3,8,12],
  [3,10,12],[4,5,6],[4,6,9],[4,7,12],[4,8,11],
  [4,8,12],[5,6,7],[5,7,10],[5,9,12],[6,7,8],
  [6,8,11],[7,8,9],[7,9,12],[8,9,10],[9,10,11],
  [10,11,12]]

manifold_2_12_1_3=[[1,2,3],[1,2,12],[1,3,7],[1,5,9],
  [1,5,11],[1,7,9],[1,11,12],[2,3,4],[2,4,8],
  [2,6,10],[2,6,12],[2,8,10],[3,4,5],[3,5,9],
  [3,7,11],[3,9,11],[4,5,6],[4,6,10],[4,8,12],
  [4,10,12],[5,6,7],[5,7,11],[6,7,8],[6,8,12],
  [7,8,9],[8,9,10],[9,10,11],[10,11,12]]

manifold_2_12_1_4=[[1,2,4],[1,2,5],[1,3,7],[1,3,12],
  [1,4,12],[1,5,11],[1,7,9],[1,9,10],[1,10,11],
  [2,3,5],[2,3,6],[2,4,8],[2,6,12],[2,8,10],
  [2,10,11],[2,11,12],[3,4,6],[3,4,7],[3,5,9],
  [3,9,11],[3,11,12],[4,5,7],[4,5,8],[4,6,10],
  [4,10,12],[5,6,8],[5,6,9],[5,7,11],[6,7,9],
  [6,7,10],[6,8,12],[7,8,10],[7,8,11],[8,9,11],
  [8,9,12],[9,10,12]]

manifold_2_12_1_5=[[1,2,4],[1,2,5],[1,3,9],[1,3,12],
  [1,4,12],[1,5,7],[1,7,11],[1,9,10],[1,10,11],
  [2,3,5],[2,3,6],[2,4,10],[2,6,8],[2,8,12],
  [2,10,11],[2,11,12],[3,4,6],[3,4,7],[3,5,11],
  [3,7,9],[3,11,12],[4,5,7],[4,5,8],[4,6,12],
  [4,8,10],[5,6,8],[5,6,9],[5,9,11],[6,7,9],
  [6,7,10],[6,10,12],[7,8,10],[7,8,11],[8,9,11],
  [8,9,12],[9,10,12]]

manifold_2_12_1_6=[[1,2,4],[1,2,6],[1,3,6],[1,3,12],
  [1,4,11],[1,5,9],[1,5,12],[1,8,9],[1,8,10],
  [1,10,11],[2,3,5],[2,3,7],[2,4,7],[2,5,12],
  [2,6,10],[2,9,10],[2,9,11],[2,11,12],[3,4,6],
  [3,4,8],[3,5,8],[3,7,11],[3,10,11],[3,10,12],
  [4,5,7],[4,5,9],[4,6,9],[4,8,12],[4,11,12],
  [5,6,8],[5,6,10],[5,7,10],[6,7,9],[6,7,11],
  [6,8,11],[7,8,10],[7,8,12],[7,9,12],[8,9,11],
  [9,10,12]]

manifold_2_12_1_7=[[1,2,4],[1,2,7],[1,3,10],[1,3,12],
  [1,4,6],[1,6,12],[1,7,8],[1,8,11],[1,10,11],
  [2,3,5],[2,3,8],[2,4,11],[2,5,7],[2,8,9],
  [2,9,12],[2,11,12],[3,4,6],[3,4,9],[3,5,12],
  [3,6,8],[3,9,10],[4,5,7],[4,5,10],[4,7,9],
  [4,10,11],[5,6,8],[5,6,11],[5,8,10],[5,11,12],
  [6,7,9],[6,7,12],[6,9,11],[7,8,10],[7,10,12],
  [8,9,11],[9,10,12]]

manifold_2_12_1_8=[[1,2,5],[1,2,7],[1,4,8],[1,4,12],
  [1,5,10],[1,6,9],[1,6,12],[1,7,8],[1,9,10],
  [2,3,6],[2,3,8],[2,5,9],[2,6,11],[2,7,10],
  [2,8,9],[2,10,11],[3,4,7],[3,4,9],[3,6,10],
  [3,7,12],[3,8,11],[3,9,10],[3,11,12],[4,5,8],
  [4,5,10],[4,7,11],[4,9,12],[4,10,11],[5,6,9],
  [5,6,11],[5,8,12],[5,11,12],[6,7,10],[6,7,12],
  [7,8,11],[8,9,12]]

manifold_2_12_1_9=[[1,2,6],[1,2,7],[1,3,5],[1,3,11],
  [1,5,12],[1,6,12],[1,7,8],[1,8,9],[1,9,11],
  [2,3,7],[2,3,8],[2,4,6],[2,4,12],[2,8,9],
  [2,9,10],[2,10,12],[3,4,8],[3,4,9],[3,5,7],
  [3,9,10],[3,10,11],[4,5,9],[4,5,10],[4,6,8],
  [4,10,11],[4,11,12],[5,6,10],[5,6,11],[5,7,9],
  [5,11,12],[6,7,11],[6,7,12],[6,8,10],[7,8,12],
  [7,9,11],[8,10,12]]

manifold_2_12_1_10=[[1,2,6],[1,2,7],[1,5,9],[1,5,12],
  [1,6,12],[1,7,8],[1,8,9],[2,3,7],[2,3,8],
  [2,6,10],[2,8,9],[2,9,10],[3,4,8],[3,4,9],
  [3,7,11],[3,9,10],[3,10,11],[4,5,9],[4,5,10],
  [4,8,12],[4,10,11],[4,11,12],[5,6,10],[5,6,11],
  [5,11,12],[6,7,11],[6,7,12],[7,8,12]]

manifold_2_13_5_1=[[1,2,5],[1,2,11],[1,4,5],[1,4,13],
  [1,10,11],[1,10,13],[2,3,6],[2,3,12],[2,5,6],
  [2,11,12],[3,4,7],[3,4,13],[3,6,7],[3,12,13],
  [4,5,8],[4,7,8],[5,6,9],[5,8,9],[6,7,10],
  [6,9,10],[7,8,11],[7,10,11],[8,9,12],[8,11,12],
  [9,10,13],[9,12,13]]

manifold_2_13_3_1=[[1,2,3],[1,2,13],[1,3,8],[1,4,7],
  [1,4,11],[1,5,9],[1,5,10],[1,6,10],[1,6,12],
  [1,7,9],[1,8,11],[1,12,13],[2,3,4],[2,4,9],
  [2,5,8],[2,5,12],[2,6,10],[2,6,11],[2,7,11],
  [2,7,13],[2,8,10],[2,9,12],[3,4,5],[3,5,10],
  [3,6,9],[3,6,13],[3,7,11],[3,7,12],[3,8,12],
  [3,9,11],[3,10,13],[4,5,6],[4,6,11],[4,7,10],
  [4,8,12],[4,8,13],[4,9,13],[4,10,12],[5,6,7],
  [5,7,12],[5,8,11],[5,9,13],[5,11,13],[6,7,8],
  [6,8,13],[6,9,12],[7,8,9],[7,10,13],[8,9,10],
  [9,10,11],[10,11,12],[11,12,13]]

manifold_2_13_2_1=[[1,2,4],[1,2,12],[1,3,4],[1,3,13],
  [1,11,12],[1,11,13],[2,3,5],[2,3,13],[2,4,5],
  [2,12,13],[3,4,6],[3,5,6],[4,5,7],[4,6,7],
  [5,6,8],[5,7,8],[6,7,9],[6,8,9],[7,8,10],
  [7,9,10],[8,9,11],[8,10,11],[9,10,12],[9,11,12],
  [10,11,13],[10,12,13]]

manifold_2_13_1_1=[[1,2,3],[1,2,13],[1,3,7],[1,4,8],
  [1,4,9],[1,5,11],[1,5,12],[1,6,9],[1,6,11],
  [1,7,10],[1,8,10],[1,12,13],[2,3,4],[2,4,8],
  [2,5,9],[2,5,10],[2,6,12],[2,6,13],[2,7,10],
  [2,7,12],[2,8,11],[2,9,11],[3,4,5],[3,5,9],
  [3,6,10],[3,6,11],[3,7,13],[3,8,11],[3,8,13],
  [3,9,12],[3,10,12],[4,5,6],[4,6,10],[4,7,11],
  [4,7,12],[4,9,12],[4,10,13],[4,11,13],[5,6,7],
  [5,7,11],[5,8,12],[5,8,13],[5,10,13],[6,7,8],
  [6,8,12],[6,9,13],[7,8,9],[7,9,13],[8,9,10],
  [9,10,11],[10,11,12],[11,12,13]]

manifold_2_14_5_1=[[1,2,3],[1,2,14],[1,3,7],[1,4,7],
  [1,4,12],[1,5,10],[1,5,13],[1,6,10],[1,6,11],
  [1,9,11],[1,9,12],[1,13,14],[2,3,4],[2,4,8],
  [2,5,8],[2,5,13],[2,6,11],[2,6,14],[2,7,11],
  [2,7,12],[2,10,12],[2,10,13],[3,4,5],[3,5,9],
  [3,6,9],[3,6,14],[3,7,12],[3,8,12],[3,8,13],
  [3,11,13],[3,11,14],[4,5,6],[4,6,10],[4,7,10],
  [4,8,13],[4,9,13],[4,9,14],[4,12,14],[5,6,7],
  [5,7,11],[5,8,11],[5,9,14],[5,10,14],[6,7,8],
  [6,8,12],[6,9,12],[7,8,9],[7,9,13],[7,10,13],
  [8,9,10],[8,10,14],[8,11,14],[9,10,11],[10,11,12],
  [11,12,13],[12,13,14]]

manifold_2_14_5_2=[[1,2,4],[1,2,11],[1,3,11],[1,3,14],
  [1,4,9],[1,5,6],[1,5,7],[1,6,12],[1,7,10],
  [1,9,13],[1,10,14],[1,12,13],[2,3,5],[2,3,12],
  [2,4,12],[2,5,10],[2,6,7],[2,6,8],[2,7,13],
  [2,8,11],[2,10,14],[2,13,14],[3,4,6],[3,4,13],
  [3,5,13],[3,6,11],[3,7,8],[3,7,9],[3,8,14],
  [3,9,12],[4,5,7],[4,5,14],[4,6,14],[4,7,12],
  [4,8,9],[4,8,10],[4,10,13],[5,6,8],[5,8,13],
  [5,9,10],[5,9,11],[5,11,14],[6,7,9],[6,9,14],
  [6,10,11],[6,10,12],[7,8,10],[7,11,12],[7,11,13],
  [8,9,11],[8,12,13],[8,12,14],[9,10,12],[9,13,14],
  [10,11,13],[11,12,14]]

manifold_2_14_4_1=[[1,2,3],[1,2,14],[1,3,7],[1,4,7],
  [1,4,12],[1,5,10],[1,5,13],[1,6,10],[1,6,11],
  [1,9,11],[1,9,12],[1,13,14],[2,3,4],[2,4,12],
  [2,5,8],[2,5,13],[2,6,8],[2,6,11],[2,7,11],
  [2,7,12],[2,10,13],[2,10,14],[3,4,5],[3,5,9],
  [3,6,9],[3,6,14],[3,7,12],[3,8,12],[3,8,13],
  [3,11,13],[3,11,14],[4,5,6],[4,6,14],[4,7,10],
  [4,8,10],[4,8,13],[4,9,13],[4,9,14],[5,6,7],
  [5,7,11],[5,8,11],[5,9,14],[5,10,14],[6,7,8],
  [6,9,12],[6,10,12],[7,8,9],[7,9,13],[7,10,13],
  [8,9,10],[8,11,14],[8,12,14],[9,10,11],[10,11,12],
  [11,12,13],[12,13,14]]

manifold_2_14_4_2=[[1,2,4],[1,2,13],[1,3,4],[1,3,7],
  [1,5,13],[1,5,14],[1,6,9],[1,6,12],[1,7,12],
  [1,9,11],[1,10,11],[1,10,14],[2,3,7],[2,3,12],
  [2,4,12],[2,5,10],[2,5,11],[2,6,7],[2,6,8],
  [2,8,11],[2,10,14],[2,13,14],[3,4,6],[3,5,6],
  [3,5,9],[3,8,11],[3,8,14],[3,9,14],[3,11,13],
  [3,12,13],[4,5,9],[4,5,14],[4,6,14],[4,7,12],
  [4,7,13],[4,8,9],[4,8,10],[4,10,13],[5,6,8],
  [5,7,8],[5,7,11],[5,10,13],[6,7,11],[6,9,14],
  [6,10,11],[6,10,12],[7,8,10],[7,9,10],[7,9,13],
  [8,9,13],[8,12,13],[8,12,14],[9,10,12],[9,11,12],
  [11,12,14],[11,13,14]]

manifold_2_14_4_3=[[1,2,4],[1,2,13],[1,3,4],[1,3,11],
  [1,5,7],[1,5,14],[1,6,9],[1,6,12],[1,7,12],
  [1,9,13],[1,10,11],[1,10,14],[2,3,7],[2,3,12],
  [2,4,8],[2,5,10],[2,5,11],[2,6,7],[2,6,14],
  [2,8,11],[2,10,12],[2,13,14],[3,4,6],[3,5,6],
  [3,5,13],[3,7,9],[3,8,11],[3,8,14],[3,9,14],
  [3,12,13],[4,5,9],[4,5,14],[4,6,10],[4,7,12],
  [4,7,13],[4,8,9],[4,10,13],[4,12,14],[5,6,8],
  [5,7,8],[5,9,11],[5,10,13],[6,7,11],[6,8,12],
  [6,9,14],[6,10,11],[7,8,10],[7,9,10],[7,11,13],
  [8,9,13],[8,10,14],[8,12,13],[9,10,12],[9,11,12],
  [11,12,14],[11,13,14]]

manifold_2_14_3_1=[[1,2,3],[1,2,14],[1,3,9],[1,7,9],
  [1,7,13],[1,13,14],[2,3,4],[2,4,10],[2,8,10],
  [2,8,14],[3,4,5],[3,5,11],[3,9,11],[4,5,6],
  [4,6,12],[4,10,12],[5,6,7],[5,7,13],[5,11,13],
  [6,7,8],[6,8,14],[6,12,14],[7,8,9],[8,9,10],
  [9,10,11],[10,11,12],[11,12,13],[12,13,14]]

manifold_2_14_3_2=[[1,2,4],[1,2,13],[1,3,4],[1,3,14],
  [1,12,13],[1,12,14],[2,3,5],[2,3,14],[2,4,5],
  [2,13,14],[3,4,6],[3,5,6],[4,5,7],[4,6,7],
  [5,6,8],[5,7,8],[6,7,9],[6,8,9],[7,8,10],
  [7,9,10],[8,9,11],[8,10,11],[9,10,12],[9,11,12],
  [10,11,13],[10,12,13],[11,12,14],[11,13,14]]

manifold_2_14_3_3=[[1,2,5],[1,2,12],[1,4,5],[1,4,14],
  [1,11,12],[1,11,14],[2,3,6],[2,3,13],[2,5,6],
  [2,12,13],[3,4,7],[3,4,14],[3,6,7],[3,13,14],
  [4,5,8],[4,7,8],[5,6,9],[5,8,9],[6,7,10],
  [6,9,10],[7,8,11],[7,10,11],[8,9,12],[8,11,12],
  [9,10,13],[9,12,13],[10,11,14],[10,13,14]]

manifold_2_14_1_1=[[1,2,3],[1,2,14],[1,3,6],[1,4,9],
  [1,4,13],[1,5,9],[1,5,11],[1,6,12],[1,7,10],
  [1,7,11],[1,10,12],[1,13,14],[2,3,4],[2,4,7],
  [2,5,10],[2,5,14],[2,6,10],[2,6,12],[2,7,13],
  [2,8,11],[2,8,12],[2,11,13],[3,4,5],[3,5,8],
  [3,6,11],[3,7,11],[3,7,13],[3,8,14],[3,9,12],
  [3,9,13],[3,12,14],[4,5,6],[4,6,9],[4,7,12],
  [4,8,12],[4,8,14],[4,10,13],[4,10,14],[5,6,7],
  [5,7,10],[5,8,13],[5,9,13],[5,11,14],[6,7,8],
  [6,8,11],[6,9,14],[6,10,14],[7,8,9],[7,9,12],
  [8,9,10],[8,10,13],[9,10,11],[9,11,14],[10,11,12],
  [11,12,13],[12,13,14]]

manifold_2_14_1_2=[[1,2,3],[1,2,14],[1,3,6],[1,4,10],
  [1,4,13],[1,5,9],[1,5,11],[1,6,9],[1,7,11],
  [1,7,12],[1,10,12],[1,13,14],[2,3,4],[2,4,7],
  [2,5,11],[2,5,14],[2,6,10],[2,6,12],[2,7,10],
  [2,8,12],[2,8,13],[2,11,13],[3,4,5],[3,5,8],
  [3,6,12],[3,7,11],[3,7,13],[3,8,11],[3,9,13],
  [3,9,14],[3,12,14],[4,5,6],[4,6,9],[4,7,13],
  [4,8,12],[4,8,14],[4,9,12],[4,10,14],[5,6,7],
  [5,7,10],[5,8,14],[5,9,13],[5,10,13],[6,7,8],
  [6,8,11],[6,10,14],[6,11,14],[7,8,9],[7,9,12],
  [8,9,10],[8,10,13],[9,10,11],[9,11,14],[10,11,12],
  [11,12,13],[12,13,14]]

manifold_2_14_1_3=[[1,2,4],[1,2,6],[1,3,7],[1,3,14],
  [1,4,9],[1,5,13],[1,5,14],[1,6,12],[1,7,10],
  [1,9,11],[1,10,11],[1,12,13],[2,3,5],[2,3,7],
  [2,4,8],[2,5,10],[2,6,14],[2,7,13],[2,8,11],
  [2,10,12],[2,11,12],[2,13,14],[3,4,6],[3,4,8],
  [3,5,9],[3,6,11],[3,8,14],[3,9,12],[3,11,13],
  [3,12,13],[4,5,7],[4,5,9],[4,6,10],[4,7,12],
  [4,10,13],[4,12,14],[4,13,14],[5,6,8],[5,6,10],
  [5,7,11],[5,8,13],[5,11,14],[6,7,9],[6,7,11],
  [6,8,12],[6,9,14],[7,8,10],[7,8,12],[7,9,13],
  [8,9,11],[8,9,13],[8,10,14],[9,10,12],[9,10,14],
  [10,11,13],[11,12,14]]

manifold_2_14_1_4=[[1,2,4],[1,2,7],[1,3,12],[1,3,14],
  [1,4,6],[1,5,9],[1,5,11],[1,6,14],[1,7,11],
  [1,9,10],[1,10,13],[1,12,13],[2,3,5],[2,3,8],
  [2,4,13],[2,5,7],[2,6,10],[2,6,12],[2,8,12],
  [2,10,11],[2,11,14],[2,13,14],[3,4,6],[3,4,9],
  [3,5,14],[3,6,8],[3,7,11],[3,7,13],[3,9,13],
  [3,11,12],[4,5,7],[4,5,10],[4,7,9],[4,8,12],
  [4,8,14],[4,10,14],[4,12,13],[5,6,8],[5,6,11],
  [5,8,10],[5,9,13],[5,13,14],[6,7,9],[6,7,12],
  [6,9,11],[6,10,14],[7,8,10],[7,8,13],[7,10,12],
  [8,9,11],[8,9,14],[8,11,13],[9,10,12],[9,12,14],
  [10,11,13],[11,12,14]]

manifold_2_14_1_5=[[1,2,4],[1,2,10],[1,3,12],[1,3,14],
  [1,4,6],[1,5,9],[1,5,11],[1,6,7],[1,7,11],
  [1,9,14],[1,10,13],[1,12,13],[2,3,5],[2,3,11],
  [2,4,13],[2,5,7],[2,6,10],[2,6,12],[2,7,8],
  [2,8,12],[2,11,14],[2,13,14],[3,4,6],[3,4,12],
  [3,5,14],[3,6,8],[3,7,11],[3,7,13],[3,8,9],
  [3,9,13],[4,5,7],[4,5,13],[4,7,9],[4,8,12],
  [4,8,14],[4,9,10],[4,10,14],[5,6,8],[5,6,14],
  [5,8,10],[5,9,13],[5,10,11],[6,7,9],[6,9,11],
  [6,10,14],[6,11,12],[7,8,10],[7,10,12],[7,12,13],
  [8,9,11],[8,11,13],[8,13,14],[9,10,12],[9,12,14],
  [10,11,13],[11,12,14]]

manifold_2_15_18_1=[[1,2,3],[1,2,6],[1,3,5],[1,5,15],
  [1,6,14],[1,8,12],[1,8,15],[1,9,11],[1,9,14],
  [1,11,12],[2,3,4],[2,4,15],[2,6,13],[2,7,12],
  [2,7,15],[2,9,10],[2,9,13],[2,10,12],[3,4,14],
  [3,5,13],[3,7,11],[3,7,14],[3,8,10],[3,8,13],
  [3,10,11],[4,5,12],[4,5,15],[4,6,11],[4,6,14],
  [4,8,9],[4,8,12],[4,9,11],[5,6,10],[5,6,13],
  [5,7,9],[5,7,12],[5,9,10],[6,7,8],[6,7,11],
  [6,8,10],[7,8,9],[7,14,15],[8,13,15],[9,13,14],
  [10,11,15],[10,12,14],[10,14,15],[11,12,13],
  [11,13,15],[12,13,14]]

manifold_2_15_10_1=[[1,2,10],[1,2,11],[1,3,12],[1,3,14],
  [1,4,5],[1,4,15],[1,5,12],[1,7,13],[1,7,15],
  [1,9,10],[1,9,14],[1,11,13],[2,3,5],[2,3,6],
  [2,5,13],[2,6,7],[2,7,12],[2,8,11],[2,8,14],
  [2,10,13],[2,12,15],[2,14,15],[3,4,5],[3,4,12],
  [3,6,13],[3,8,13],[3,8,15],[3,9,10],[3,9,15],
  [3,10,14],[4,6,10],[4,6,11],[4,7,13],[4,7,14],
  [4,8,10],[4,8,14],[4,11,12],[4,13,15],[5,6,13],
  [5,6,14],[5,7,8],[5,7,9],[5,8,12],[5,9,11],
  [5,11,14],[6,7,15],[6,9,11],[6,9,14],[6,10,12],
  [6,12,15],[7,8,10],[7,9,12],[7,10,14],[8,9,12],
  [8,9,13],[8,11,15],[9,13,15],[10,11,12],[10,11,13],
  [11,14,15]]

manifold_2_15_7_1=[[1,2,5],[1,2,13],[1,4,5],[1,4,15],
  [1,12,13],[1,12,15],[2,3,6],[2,3,14],[2,5,6],
  [2,13,14],[3,4,7],[3,4,15],[3,6,7],[3,14,15],
  [4,5,8],[4,7,8],[5,6,9],[5,8,9],[6,7,10],
  [6,9,10],[7,8,11],[7,10,11],[8,9,12],[8,11,12],
  [9,10,13],[9,12,13],[10,11,14],[10,13,14],
  [11,12,15],[11,14,15]]

manifold_2_15_7_2=[[1,2,6],[1,2,12],[1,5,6],[1,5,15],
  [1,11,12],[1,11,15],[2,3,7],[2,3,13],[2,6,7],
  [2,12,13],[3,4,8],[3,4,14],[3,7,8],[3,13,14],
  [4,5,9],[4,5,15],[4,8,9],[4,14,15],[5,6,10],
  [5,9,10],[6,7,11],[6,10,11],[7,8,12],[7,11,12],
  [8,9,13],[8,12,13],[9,10,14],[9,13,14],[10,11,15],
  [10,14,15]]

manifold_2_15_5_1=[[1,2,5],[1,2,7],[1,5,14],[1,7,9],
  [1,9,11],[1,11,12],[1,12,15],[1,14,15],[2,3,12],
  [2,3,14],[2,5,8],[2,7,14],[2,8,10],[2,10,12],
  [3,4,14],[3,4,15],[3,6,10],[3,6,15],[3,8,10],
  [3,8,12],[4,5,8],[4,5,11],[4,6,13],[4,6,14],
  [4,8,13],[4,11,15],[5,7,13],[5,7,14],[5,11,13],
  [6,7,9],[6,7,10],[6,9,13],[6,14,15],[7,10,13],
  [8,11,12],[8,11,13],[9,10,12],[9,10,13],[9,11,15],
  [9,12,15]]

manifold_2_15_4_1=[[1,2,3],[1,2,15],[1,3,6],[1,4,9],
  [1,4,14],[1,5,9],[1,5,12],[1,6,13],[1,8,11],
  [1,8,12],[1,11,13],[1,14,15],[2,3,4],[2,4,7],
  [2,5,10],[2,5,15],[2,6,10],[2,6,13],[2,7,14],
  [2,9,12],[2,9,13],[2,12,14],[3,4,5],[3,5,8],
  [3,6,11],[3,7,11],[3,7,14],[3,8,15],[3,10,13],
  [3,10,14],[3,13,15],[4,5,6],[4,6,9],[4,7,12],
  [4,8,12],[4,8,15],[4,11,14],[4,11,15],[5,6,7],
  [5,7,10],[5,8,13],[5,9,13],[5,12,15],[6,7,8],
  [6,8,11],[6,9,14],[6,10,14],[7,8,9],[7,9,12],
  [7,10,15],[7,11,15],[8,9,10],[8,10,13],[9,10,11],
  [9,11,14],[10,11,12],[10,12,15],[11,12,13],
  [12,13,14],[13,14,15]]

manifold_2_15_4_2=[[1,2,3],[1,2,15],[1,3,8],[1,5,9],
  [1,5,12],[1,6,11],[1,6,14],[1,8,12],[1,9,11],
  [1,14,15],[2,3,4],[2,4,9],[2,6,10],[2,6,13],
  [2,7,12],[2,7,15],[2,9,13],[2,10,12],[3,4,5],
  [3,5,10],[3,7,11],[3,7,14],[3,8,13],[3,10,14],
  [3,11,13],[4,5,6],[4,6,11],[4,8,12],[4,8,15],
  [4,9,14],[4,11,15],[4,12,14],[5,6,7],[5,7,12],
  [5,9,13],[5,10,15],[5,13,15],[6,7,8],[6,8,13],
  [6,10,14],[7,8,9],[7,9,14],[7,11,15],[8,9,10],
  [8,10,15],[9,10,11],[10,11,12],[11,12,13],
  [12,13,14],[13,14,15]]

manifold_2_15_3_1=[[1,2,3],[1,2,15],[1,3,6],[1,4,11],
  [1,4,14],[1,5,9],[1,5,12],[1,6,9],[1,8,12],
  [1,8,13],[1,11,13],[1,14,15],[2,3,4],[2,4,7],
  [2,5,12],[2,5,15],[2,6,10],[2,6,13],[2,7,10],
  [2,9,13],[2,9,14],[2,12,14],[3,4,5],[3,5,8],
  [3,6,13],[3,7,11],[3,7,14],[3,8,11],[3,10,14],
  [3,10,15],[3,13,15],[4,5,6],[4,6,9],[4,7,14],
  [4,8,12],[4,8,15],[4,9,12],[4,11,15],[5,6,7],
  [5,7,10],[5,8,15],[5,9,13],[5,10,13],[6,7,8],
  [6,8,11],[6,10,14],[6,11,14],[7,8,9],[7,9,12],
  [7,11,15],[7,12,15],[8,9,10],[8,10,13],[9,10,11],
  [9,11,14],[10,11,12],[10,12,15],[11,12,13],
  [12,13,14],[13,14,15]]

manifold_2_15_3_2=[[1,2,3],[1,2,15],[1,3,9],[1,4,7],
  [1,4,13],[1,5,9],[1,5,12],[1,7,14],[1,8,10],
  [1,8,12],[1,10,13],[1,14,15],[2,3,4],[2,4,10],
  [2,5,8],[2,5,14],[2,6,10],[2,6,13],[2,8,15],
  [2,9,11],[2,9,13],[2,11,14],[3,4,5],[3,5,11],
  [3,6,9],[3,6,15],[3,7,11],[3,7,14],[3,10,12],
  [3,10,14],[3,12,15],[4,5,6],[4,6,12],[4,7,10],
  [4,8,12],[4,8,15],[4,11,13],[4,11,15],[5,6,7],
  [5,7,13],[5,8,11],[5,9,13],[5,12,14],[6,7,8],
  [6,8,14],[6,9,12],[6,10,14],[6,13,15],[7,8,9],
  [7,9,15],[7,10,13],[7,11,15],[8,9,10],[8,11,14],
  [9,10,11],[9,12,15],[10,11,12],[11,12,13],
  [12,13,14],[13,14,15]]

manifold_2_15_2_1=[[1,2,4],[1,2,14],[1,3,4],[1,3,15],
  [1,13,14],[1,13,15],[2,3,5],[2,3,15],[2,4,5],
  [2,14,15],[3,4,6],[3,5,6],[4,5,7],[4,6,7],
  [5,6,8],[5,7,8],[6,7,9],[6,8,9],[7,8,10],
  [7,9,10],[8,9,11],[8,10,11],[9,10,12],[9,11,12],
  [10,11,13],[10,12,13],[11,12,14],[11,13,14],
  [12,13,15],[12,14,15]]

manifold_2_15_2_2=[[1,2,7],[1,2,11],[1,6,7],[1,6,15],
  [1,10,11],[1,10,15],[2,3,8],[2,3,12],[2,7,8],
  [2,11,12],[3,4,9],[3,4,13],[3,8,9],[3,12,13],
  [4,5,10],[4,5,14],[4,9,10],[4,13,14],[5,6,11],
  [5,6,15],[5,10,11],[5,14,15],[6,7,12],[6,11,12],
  [7,8,13],[7,12,13],[8,9,14],[8,13,14],[9,10,15],
  [9,14,15]]

manifold_2_15_1_1=[[1,2,3],[1,2,15],[1,3,6],[1,4,10],
  [1,4,14],[1,6,11],[1,7,10],[1,7,13],[1,11,13],
  [1,14,15],[2,3,4],[2,4,7],[2,5,11],[2,5,15],
  [2,7,12],[2,8,11],[2,8,14],[2,12,14],[3,4,5],
  [3,5,8],[3,6,12],[3,8,13],[3,9,12],[3,9,15],
  [3,13,15],[4,5,6],[4,6,9],[4,7,13],[4,9,14],
  [4,10,13],[5,6,7],[5,7,10],[5,8,14],[5,10,15],
  [5,11,14],[6,7,8],[6,8,11],[6,9,15],[6,12,15],
  [7,8,9],[7,9,12],[8,9,10],[8,10,13],[9,10,11],
  [9,11,14],[10,11,12],[10,12,15],[11,12,13],
  [12,13,14],[13,14,15]]

manifold_2_15_1_2=[[1,2,3],[1,2,15],[1,3,7],[1,5,10],
  [1,5,14],[1,6,11],[1,6,12],[1,7,11],[1,10,12],
  [1,14,15],[2,3,4],[2,4,8],[2,6,11],[2,6,15],
  [2,7,12],[2,7,13],[2,8,12],[2,11,13],[3,4,5],
  [3,5,9],[3,7,12],[3,8,13],[3,8,14],[3,9,13],
  [3,12,14],[4,5,6],[4,6,10],[4,8,13],[4,9,14],
  [4,9,15],[4,10,14],[4,13,15],[5,6,7],[5,7,11],
  [5,9,14],[5,10,15],[5,11,15],[6,7,8],[6,8,12],
  [6,10,15],[7,8,9],[7,9,13],[8,9,10],[8,10,14],
  [9,10,11],[9,11,15],[10,11,12],[11,12,13],
  [12,13,14],[13,14,15]]

manifold_2_15_1_3=[[1,2,3],[1,2,15],[1,3,7],[1,5,11],
  [1,5,14],[1,6,10],[1,6,11],[1,7,12],[1,10,12],
  [1,14,15],[2,3,4],[2,4,8],[2,6,12],[2,6,15],
  [2,7,11],[2,7,12],[2,8,13],[2,11,13],[3,4,5],
  [3,5,9],[3,7,13],[3,8,12],[3,8,13],[3,9,14],
  [3,12,14],[4,5,6],[4,6,10],[4,8,14],[4,9,13],
  [4,9,14],[4,10,15],[4,13,15],[5,6,7],[5,7,11],
  [5,9,15],[5,10,14],[5,10,15],[6,7,8],[6,8,12],
  [6,11,15],[7,8,9],[7,9,13],[8,9,10],[8,10,14],
  [9,10,11],[9,11,15],[10,11,12],[11,12,13],
  [12,13,14],[13,14,15]]

manifold_2_15_1_4=[[1,2,3],[1,2,15],[1,3,8],[1,4,9],
  [1,4,10],[1,6,13],[1,6,14],[1,7,10],[1,7,13],
  [1,8,11],[1,9,11],[1,14,15],[2,3,4],[2,4,9],
  [2,5,10],[2,5,11],[2,7,14],[2,7,15],[2,8,11],
  [2,8,14],[2,9,12],[2,10,12],[3,4,5],[3,5,10],
  [3,6,11],[3,6,12],[3,8,15],[3,9,12],[3,9,15],
  [3,10,13],[3,11,13],[4,5,6],[4,6,11],[4,7,12],
  [4,7,13],[4,10,13],[4,11,14],[4,12,14],[5,6,7],
  [5,7,12],[5,8,13],[5,8,14],[5,11,14],[5,12,15],
  [5,13,15],[6,7,8],[6,8,13],[6,9,14],[6,9,15],
  [6,12,15],[7,8,9],[7,9,14],[7,10,15],[8,9,10],
  [8,10,15],[9,10,11],[10,11,12],[11,12,13],
  [12,13,14],[13,14,15]]

manifold_2_15_1_5=[[1,2,3],[1,2,15],[1,3,8],[1,4,10],
  [1,4,11],[1,6,9],[1,6,14],[1,7,10],[1,7,13],
  [1,8,13],[1,9,11],[1,14,15],[2,3,4],[2,4,9],
  [2,5,11],[2,5,12],[2,7,10],[2,7,15],[2,8,11],
  [2,8,14],[2,9,14],[2,10,12],[3,4,5],[3,5,10],
  [3,6,12],[3,6,13],[3,8,11],[3,9,12],[3,9,15],
  [3,10,15],[3,11,13],[4,5,6],[4,6,11],[4,7,13],
  [4,7,14],[4,9,12],[4,10,13],[4,12,14],[5,6,7],
  [5,7,12],[5,8,14],[5,8,15],[5,10,13],[5,11,14],
  [5,13,15],[6,7,8],[6,8,13],[6,9,15],[6,11,14],
  [6,12,15],[7,8,9],[7,9,14],[7,12,15],[8,9,10],
  [8,10,15],[9,10,11],[10,11,12],[11,12,13],
  [12,13,14],[13,14,15]]

manifold_2_15_1_6=[[1,2,5],[1,2,6],[1,4,10],[1,4,15],
  [1,5,15],[1,6,11],[1,7,10],[1,7,13],[1,11,12],
  [1,12,13],[2,3,6],[2,3,7],[2,5,11],[2,7,12],
  [2,8,11],[2,8,14],[2,12,13],[2,13,14],[3,4,7],
  [3,4,8],[3,6,12],[3,8,13],[3,9,12],[3,9,15],
  [3,13,14],[3,14,15],[4,5,8],[4,5,9],[4,7,13],
  [4,9,14],[4,10,13],[4,14,15],[5,6,9],[5,6,10],
  [5,8,14],[5,10,15],[5,11,14],[6,7,10],[6,7,11],
  [6,9,15],[6,12,15],[7,8,11],[7,8,12],[8,9,12],
  [8,9,13],[9,10,13],[9,10,14],[10,11,14],[10,11,15],
  [11,12,15]]

