# section between (1, ... ,5) and (6,... ,16), # a topological lensspace L(4,1) with f-vector # 5*11 = 55 vertices, # 385 edges, # 352 triangles, 231 quadrilaterals, # 99 tetrahedra and 154 prisms l41:= [ [[1,6],[1,7],[1,8],[1,9]], [[1,6],[1,7],[1,8],[1,13]], [[1,6],[1,8],[1,9],[1,12]], [[1,6],[1,8],[1,12],[1,14]], [[1,6],[1,8],[1,13],[1,16]], [[1,7],[1,8],[1,13],[1,15]], [[1,7],[1,9],[1,10],[1,14]], [[1,7],[1,9],[1,11],[1,14]], [[1,7],[1,10],[1,11],[1,14]], [[1,7],[1,12],[1,13],[1,15]], [[1,7],[1,12],[1,13],[1,16]], [[1,7],[1,12],[1,15],[1,16]], [[1,9],[1,10],[1,14],[1,15]], [[1,9],[1,11],[1,13],[1,14]], [[1,9],[1,11],[1,15],[1,16]], [[1,9],[1,14],[1,15],[1,16]], [[1,10],[1,11],[1,12],[1,13]], [[1,10],[1,11],[1,13],[1,14]], [[2,6],[2,7],[2,9],[2,11]], [[2,6],[2,7],[2,11],[2,13]], [[2,6],[2,8],[2,14],[2,15]], [[2,6],[2,8],[2,15],[2,16]], [[2,6],[2,9],[2,11],[2,12]], [[2,6],[2,13],[2,15],[2,16]], [[2,7],[2,8],[2,14],[2,16]], [[2,8],[2,9],[2,10],[2,13]], [[2,8],[2,9],[2,12],[2,13]], [[2,8],[2,10],[2,12],[2,13]], [[2,8],[2,11],[2,14],[2,15]], [[2,8],[2,11],[2,14],[2,16]], [[2,8],[2,11],[2,15],[2,16]], [[2,9],[2,10],[2,13],[2,16]], [[2,9],[2,11],[2,12],[2,14]], [[2,9],[2,12],[2,13],[2,14]], [[2,9],[3,9],[4,9],[5,9]], [[2,10],[2,12],[2,13],[2,14]], [[2,10],[2,12],[2,15],[2,16]], [[2,10],[2,13],[2,15],[2,16]], [[2,13],[3,13],[4,13],[5,13]], [[3,6],[3,7],[3,10],[3,12]], [[3,6],[3,7],[3,10],[3,16]], [[3,6],[3,8],[3,10],[3,11]], [[3,6],[3,8],[3,10],[3,16]], [[3,6],[3,8],[3,14],[3,15]], [[3,7],[3,8],[3,9],[3,12]], [[3,7],[3,8],[3,10],[3,11]], [[3,7],[3,8],[3,10],[3,16]], [[3,7],[3,9],[3,10],[3,12]], [[3,7],[3,13],[3,14],[3,16]], [[3,9],[3,10],[3,12],[3,15]], [[3,9],[3,11],[3,13],[3,14]], [[3,9],[3,11],[3,15],[3,16]], [[3,9],[3,12],[3,15],[3,16]], [[3,11],[3,12],[3,13],[3,16]], [[3,11],[3,13],[3,14],[3,16]], [[4,6],[4,8],[4,13],[4,14]], [[4,6],[4,8],[4,13],[4,16]], [[4,6],[4,9],[4,13],[4,14]], [[4,6],[4,9],[4,13],[4,16]], [[4,6],[4,9],[4,14],[4,16]], [[4,6],[4,10],[4,11],[4,15]], [[4,6],[4,10],[4,12],[4,15]], [[4,6],[4,11],[4,12],[4,15]], [[4,7],[4,8],[4,9],[4,12]], [[4,7],[4,8],[4,9],[4,15]], [[4,7],[4,8],[4,10],[4,11]], [[4,8],[4,9],[4,10],[4,11]], [[4,8],[4,13],[4,14],[4,15]], [[4,9],[4,10],[4,11],[4,16]], [[4,10],[4,11],[4,15],[4,16]], [[4,10],[4,12],[4,13],[4,14]], [[4,10],[4,12],[4,15],[4,16]], [[4,11],[4,12],[4,14],[4,15]], [[4,12],[4,13],[4,14],[4,15]], [[5,6],[5,7],[5,12],[5,16]], [[5,6],[5,8],[5,11],[5,15]], [[5,6],[5,11],[5,13],[5,15]], [[5,6],[5,12],[5,14],[5,16]], [[5,7],[5,8],[5,10],[5,14]], [[5,7],[5,9],[5,12],[5,16]], [[5,7],[5,9],[5,15],[5,16]], [[5,7],[5,10],[5,11],[5,14]], [[5,7],[5,11],[5,13],[5,14]], [[5,8],[5,9],[5,10],[5,13]], [[5,8],[5,9],[5,10],[5,14]], [[5,8],[5,9],[5,11],[5,16]], [[5,8],[5,9],[5,13],[5,15]], [[5,8],[5,9],[5,14],[5,16]], [[5,8],[5,10],[5,12],[5,13]], [[5,8],[5,11],[5,12],[5,15]], [[5,8],[5,11],[5,12],[5,16]], [[5,8],[5,12],[5,13],[5,15]], [[5,8],[5,12],[5,14],[5,16]], [[5,9],[5,10],[5,13],[5,15]], [[5,9],[5,10],[5,14],[5,15]], [[5,9],[5,14],[5,15],[5,16]], [[5,10],[5,11],[5,12],[5,13]], [[5,10],[5,11],[5,13],[5,14]], [[5,11],[5,12],[5,13],[5,15]], [[1,6],[1,7],[1,9],[2,6],[2,7],[2,9]], [[1,6],[1,7],[1,13],[2,6],[2,7],[2,13]], [[1,6],[1,8],[1,14],[2,6],[2,8],[2,14]], [[1,6],[1,8],[1,16],[2,6],[2,8],[2,16]], [[1,6],[1,9],[1,12],[5,6],[5,9],[5,12]], [[1,6],[1,9],[1,15],[2,6],[2,9],[2,15]], [[1,6],[1,9],[1,15],[3,6],[3,9],[3,15]], [[1,6],[1,9],[3,6],[3,9],[5,6],[5,9]], [[1,6],[1,10],[1,11],[3,6],[3,10],[3,11]], [[1,6],[1,10],[1,11],[5,6],[5,10],[5,11]], [[1,6],[1,10],[3,6],[3,10],[4,6],[4,10]], [[1,6],[1,10],[4,6],[4,10],[5,6],[5,10]], [[1,6],[1,11],[3,6],[3,11],[5,6],[5,11]], [[1,6],[1,12],[1,14],[5,6],[5,12],[5,14]], [[1,6],[1,13],[1,16],[2,6],[2,13],[2,16]], [[1,6],[1,14],[1,15],[2,6],[2,14],[2,15]], [[1,6],[1,14],[1,15],[3,6],[3,14],[3,15]], [[1,6],[1,14],[3,6],[3,14],[4,6],[4,14]], [[1,6],[1,14],[4,6],[4,14],[5,6],[5,14]], [[1,7],[1,8],[1,9],[3,7],[3,8],[3,9]], [[1,7],[1,8],[1,11],[3,7],[3,8],[3,11]], [[1,7],[1,8],[1,11],[4,7],[4,8],[4,11]], [[1,7],[1,8],[1,15],[4,7],[4,8],[4,15]], [[1,7],[1,9],[1,10],[3,7],[3,9],[3,10]], [[1,7],[1,9],[1,11],[2,7],[2,9],[2,11]], [[1,7],[1,10],[1,11],[3,7],[3,10],[3,11]], [[1,7],[1,11],[2,7],[2,11],[4,7],[4,11]], [[1,7],[1,13],[1,16],[5,7],[5,13],[5,16]], [[1,7],[1,13],[2,7],[2,13],[5,7],[5,13]], [[1,7],[1,15],[1,16],[5,7],[5,15],[5,16]], [[1,7],[1,15],[2,7],[2,15],[4,7],[4,15]], [[1,7],[1,15],[2,7],[2,15],[5,7],[5,15]], [[1,8],[1,9],[1,12],[3,8],[3,9],[3,12]], [[1,8],[1,10],[1,12],[2,8],[2,10],[2,12]], [[1,8],[1,10],[1,12],[5,8],[5,10],[5,12]], [[1,8],[1,10],[2,8],[2,10],[5,8],[5,10]], [[1,8],[1,11],[1,13],[3,8],[3,11],[3,13]], [[1,8],[1,11],[1,13],[4,8],[4,11],[4,13]], [[1,8],[1,12],[1,14],[5,8],[5,12],[5,14]], [[1,8],[1,12],[2,8],[2,12],[3,8],[3,12]], [[1,8],[1,13],[1,15],[4,8],[4,13],[4,15]], [[1,8],[1,13],[1,16],[3,8],[3,13],[3,16]], [[1,8],[1,14],[2,8],[2,14],[5,8],[5,14]], [[1,8],[1,16],[2,8],[2,16],[3,8],[3,16]], [[1,9],[1,10],[1,15],[3,9],[3,10],[3,15]], [[1,9],[1,11],[1,13],[4,9],[4,11],[4,13]], [[1,9],[1,11],[1,15],[2,9],[2,11],[2,15]], [[1,9],[1,11],[1,16],[4,9],[4,11],[4,16]], [[1,9],[1,12],[3,9],[3,12],[5,9],[5,12]], [[1,9],[1,13],[1,14],[4,9],[4,13],[4,14]], [[1,9],[1,14],[1,16],[4,9],[4,14],[4,16]], [[1,10],[1,11],[1,12],[5,10],[5,11],[5,12]], [[1,10],[1,12],[1,13],[4,10],[4,12],[4,13]], [[1,10],[1,12],[1,16],[2,10],[2,12],[2,16]], [[1,10],[1,12],[1,16],[4,10],[4,12],[4,16]], [[1,10],[1,13],[1,14],[4,10],[4,13],[4,14]], [[1,10],[1,14],[1,15],[3,10],[3,14],[3,15]], [[1,10],[1,14],[3,10],[3,14],[4,10],[4,14]], [[1,10],[1,16],[2,10],[2,16],[5,10],[5,16]], [[1,10],[1,16],[4,10],[4,16],[5,10],[5,16]], [[1,11],[1,12],[1,13],[3,11],[3,12],[3,13]], [[1,11],[1,12],[3,11],[3,12],[5,11],[5,12]], [[1,11],[1,15],[1,16],[4,11],[4,15],[4,16]], [[1,11],[1,15],[2,11],[2,15],[4,11],[4,15]], [[1,12],[1,13],[1,15],[4,12],[4,13],[4,15]], [[1,12],[1,13],[1,16],[3,12],[3,13],[3,16]], [[1,12],[1,15],[1,16],[4,12],[4,15],[4,16]], [[1,12],[1,16],[2,12],[2,16],[3,12],[3,16]], [[1,13],[1,16],[2,13],[2,16],[5,13],[5,16]], [[1,14],[1,15],[1,16],[5,14],[5,15],[5,16]], [[1,14],[1,15],[2,14],[2,15],[5,14],[5,15]], [[1,14],[1,16],[4,14],[4,16],[5,14],[5,16]], [[2,6],[2,9],[2,12],[5,6],[5,9],[5,12]], [[2,6],[2,9],[2,15],[3,6],[3,9],[3,15]], [[2,6],[2,9],[3,6],[3,9],[5,6],[5,9]], [[2,6],[2,10],[2,11],[4,6],[4,10],[4,11]], [[2,6],[2,10],[2,11],[5,6],[5,10],[5,11]], [[2,6],[2,10],[4,6],[4,10],[5,6],[5,10]], [[2,6],[2,11],[2,12],[4,6],[4,11],[4,12]], [[2,6],[2,11],[2,13],[5,6],[5,11],[5,13]], [[2,6],[2,12],[4,6],[4,12],[5,6],[5,12]], [[2,6],[2,13],[2,15],[3,6],[3,13],[3,15]], [[2,6],[2,13],[3,6],[3,13],[5,6],[5,13]], [[2,7],[2,8],[2,10],[4,7],[4,8],[4,10]], [[2,7],[2,8],[2,10],[5,7],[5,8],[5,10]], [[2,7],[2,8],[2,12],[3,7],[3,8],[3,12]], [[2,7],[2,8],[2,12],[4,7],[4,8],[4,12]], [[2,7],[2,8],[2,14],[5,7],[5,8],[5,14]], [[2,7],[2,8],[2,16],[3,7],[3,8],[3,16]], [[2,7],[2,10],[2,11],[4,7],[4,10],[4,11]], [[2,7],[2,10],[2,11],[5,7],[5,10],[5,11]], [[2,7],[2,11],[2,13],[5,7],[5,11],[5,13]], [[2,7],[2,12],[2,14],[3,7],[3,12],[3,14]], [[2,7],[2,12],[2,14],[4,7],[4,12],[4,14]], [[2,7],[2,14],[2,15],[4,7],[4,14],[4,15]], [[2,7],[2,14],[2,15],[5,7],[5,14],[5,15]], [[2,7],[2,14],[2,16],[3,7],[3,14],[3,16]], [[2,8],[2,9],[2,10],[4,8],[4,9],[4,10]], [[2,8],[2,9],[2,12],[4,8],[4,9],[4,12]], [[2,9],[2,10],[2,16],[4,9],[4,10],[4,16]], [[2,9],[2,11],[2,14],[3,9],[3,11],[3,14]], [[2,9],[2,11],[2,15],[3,9],[3,11],[3,15]], [[2,9],[2,12],[4,9],[4,12],[5,9],[5,12]], [[2,9],[2,13],[2,14],[3,9],[3,13],[3,14]], [[2,9],[2,13],[2,16],[4,9],[4,13],[4,16]], [[2,9],[2,13],[3,9],[3,13],[4,9],[4,13]], [[2,10],[2,12],[2,14],[3,10],[3,12],[3,14]], [[2,10],[2,12],[2,15],[3,10],[3,12],[3,15]], [[2,10],[2,13],[2,14],[3,10],[3,13],[3,14]], [[2,10],[2,13],[2,15],[3,10],[3,13],[3,15]], [[2,10],[2,16],[4,10],[4,16],[5,10],[5,16]], [[2,11],[2,12],[2,14],[4,11],[4,12],[4,14]], [[2,11],[2,14],[2,15],[4,11],[4,14],[4,15]], [[2,11],[2,14],[2,16],[3,11],[3,14],[3,16]], [[2,11],[2,15],[2,16],[3,11],[3,15],[3,16]], [[2,12],[2,15],[2,16],[3,12],[3,15],[3,16]], [[2,13],[2,16],[4,13],[4,16],[5,13],[5,16]], [[3,6],[3,7],[3,12],[4,6],[4,7],[4,12]], [[3,6],[3,7],[3,16],[4,6],[4,7],[4,16]], [[3,6],[3,8],[3,11],[5,6],[5,8],[5,11]], [[3,6],[3,8],[3,14],[4,6],[4,8],[4,14]], [[3,6],[3,8],[3,15],[5,6],[5,8],[5,15]], [[3,6],[3,8],[3,16],[4,6],[4,8],[4,16]], [[3,6],[3,10],[3,12],[4,6],[4,10],[4,12]], [[3,6],[3,13],[3,15],[5,6],[5,13],[5,15]], [[3,7],[3,12],[3,14],[4,7],[4,12],[4,14]], [[3,7],[3,13],[3,14],[5,7],[5,13],[5,14]], [[3,7],[3,13],[3,16],[4,7],[4,13],[4,16]], [[3,7],[3,13],[4,7],[4,13],[5,7],[5,13]], [[3,7],[3,14],[3,15],[4,7],[4,14],[4,15]], [[3,7],[3,14],[3,15],[5,7],[5,14],[5,15]], [[3,7],[3,15],[4,7],[4,15],[5,7],[5,15]], [[3,8],[3,11],[3,13],[4,8],[4,11],[4,13]], [[3,8],[3,11],[4,8],[4,11],[5,8],[5,11]], [[3,8],[3,13],[3,16],[4,8],[4,13],[4,16]], [[3,8],[3,14],[3,15],[4,8],[4,14],[4,15]], [[3,8],[3,15],[4,8],[4,15],[5,8],[5,15]], [[3,9],[3,11],[3,13],[4,9],[4,11],[4,13]], [[3,9],[3,11],[3,16],[5,9],[5,11],[5,16]], [[3,9],[3,11],[4,9],[4,11],[5,9],[5,11]], [[3,9],[3,12],[3,16],[5,9],[5,12],[5,16]], [[3,10],[3,12],[3,14],[4,10],[4,12],[4,14]], [[3,10],[3,13],[3,14],[5,10],[5,13],[5,14]], [[3,10],[3,13],[3,15],[5,10],[5,13],[5,15]], [[3,10],[3,14],[3,15],[5,10],[5,14],[5,15]], [[3,11],[3,12],[3,16],[5,11],[5,12],[5,16]], [[4,6],[4,7],[4,12],[5,6],[5,7],[5,12]], [[4,6],[4,7],[4,16],[5,6],[5,7],[5,16]], [[4,6],[4,14],[4,16],[5,6],[5,14],[5,16]], [[4,7],[4,9],[4,12],[5,7],[5,9],[5,12]], [[4,7],[4,9],[4,15],[5,7],[5,9],[5,15]], [[4,7],[4,13],[4,16],[5,7],[5,13],[5,16]], [[4,8],[4,9],[4,11],[5,8],[5,9],[5,11]], [[4,8],[4,9],[4,15],[5,8],[5,9],[5,15]], ]; # PL-equivalent to # L_4_1 f = (14,84,140,70) complex:=[ [1,2,3,4],[1,2,3,5],[1,2,4,6],[1,2,5,6],[1,3,4,7],[1,3,5,7], [1,4,6,8],[1,4,7,9],[1,4,8,9],[1,5,6,10],[1,5,7,11],[1,5,10,11], [1,6,8,10],[1,7,9,11],[1,8,9,12],[1,8,10,12],[1,9,11,12],[1,10,11,12], [2,3,4,10],[2,3,5,9],[2,3,9,10],[2,4,6,11],[2,4,10,11],[2,5,6,13], [2,5,9,14],[2,5,13,14],[2,6,11,12],[2,6,12,13],[2,9,10,14], [2,10,11,12],[2,10,12,14],[2,12,13,14],[3,4,7,14],[3,4,10,13], [3,4,13,14],[3,5,7,12],[3,5,9,12],[3,6,7,12],[3,6,7,14],[3,6,8,11], [3,6,8,14],[3,6,11,12],[3,8,11,13],[3,8,13,14],[3,9,10,13],[3,9,11,12], [3,9,11,13],[4,5,8,9],[4,5,8,11],[4,5,9,14],[4,5,10,11],[4,5,10,13], [4,5,13,14],[4,6,8,11],[4,7,9,14],[5,6,10,13],[5,7,8,11],[5,7,8,12], [5,8,9,12],[6,7,10,13],[6,7,10,14],[6,7,12,13],[6,8,10,14],[7,8,11,13], [7,8,12,13],[7,9,10,13],[7,9,10,14],[7,9,11,13],[8,10,12,14], [8,12,13,14] ];