################################################ ################################################ ### ### ### Brehm's vertex-minimal triangulation ### ### of the lens space ### ### L(3,1) ### ### ### ### with f-vector f=(12,66,108,54) ### ### ### ################################################ ################################################ L_3_1=[ [ 1, 2, 3, 4 ], [ 1, 2, 3, 10 ], [ 1, 2, 4, 9 ], [ 1, 2, 5, 6 ], [ 1, 2, 5, 9 ], [ 1, 2, 6, 11 ], [ 1, 2, 10, 11 ], [ 1, 3, 4, 7 ], [ 1, 3, 7, 8 ], [ 1, 3, 8, 10 ], [ 1, 4, 7, 9 ], [ 1, 5, 6, 12 ], [ 1, 5, 7, 9 ], [ 1, 5, 7, 12 ], [ 1, 6, 11, 12 ], [ 1, 7, 8, 12 ], [ 1, 8, 10, 11 ], [ 1, 8, 11, 12 ], [ 2, 3, 4, 12 ], [ 2, 3, 10, 12 ], [ 2, 4, 8, 9 ], [ 2, 4, 8, 12 ], [ 2, 5, 6, 8 ], [ 2, 5, 8, 9 ], [ 2, 6, 7, 8 ], [ 2, 6, 7, 11 ], [ 2, 7, 8, 12 ], [ 2, 7, 10, 11 ], [ 2, 7, 10, 12 ], [ 3, 4, 5, 6 ], [ 3, 4, 5, 11 ], [ 3, 4, 6, 7 ], [ 3, 4, 11, 12 ], [ 3, 5, 6, 8 ], [ 3, 5, 8, 9 ], [ 3, 5, 9, 11 ], [ 3, 6, 7, 8 ], [ 3, 8, 9, 10 ], [ 3, 9, 10, 12 ], [ 3, 9, 11, 12 ], [ 4, 5, 6, 10 ], [ 4, 5, 10, 11 ], [ 4, 6, 7, 9 ], [ 4, 6, 9, 10 ], [ 4, 8, 9, 10 ], [ 4, 8, 10, 11 ], [ 4, 8, 11, 12 ], [ 5, 6, 10, 12 ], [ 5, 7, 9, 11 ], [ 5, 7, 10, 11 ], [ 5, 7, 10, 12 ], [ 6, 7, 9, 11 ], [ 6, 9, 10, 12 ], [ 6, 9, 11, 12 ] ]