# section between (1,2,3,4,5,7,9) and (6,8,10, ... ,16), # a orientable flat 3-manifold G(5) with f-vector # 7*9 = 63 vertices, # 441 edges, # 356 triangles, 300 quadrilaterals, # 78 tetrahedra and 200 prisms g5:= [ [[1,6],[1,8],[1,12],[1,14]], [[1,6],[1,8],[1,13],[1,16]], [[1,6],[2,6],[6,7],[6,9]], [[1,6],[3,6],[5,6],[6,9]], [[1,8],[3,8],[7,8],[8,9]], [[1,10],[1,11],[1,12],[1,13]], [[1,10],[1,11],[1,13],[1,14]], [[1,10],[3,10],[7,10],[9,10]], [[1,11],[2,11],[4,11],[7,11]], [[1,11],[2,11],[7,11],[9,11]], [[1,12],[3,12],[5,12],[9,12]], [[1,13],[2,13],[5,13],[7,13]], [[1,15],[2,15],[4,15],[7,15]], [[1,15],[2,15],[5,15],[7,15]], [[2,6],[2,8],[2,14],[2,15]], [[2,6],[2,8],[2,15],[2,16]], [[2,6],[2,13],[2,15],[2,16]], [[2,6],[3,6],[5,6],[6,9]], [[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]], [[2,10],[2,12],[2,13],[2,14]], [[2,10],[2,12],[2,15],[2,16]], [[2,10],[2,13],[2,15],[2,16]], [[2,12],[4,12],[5,12],[9,12]], [[2,13],[3,13],[4,13],[5,13]], [[2,13],[3,13],[4,13],[9,13]], [[3,6],[3,8],[3,10],[3,11]], [[3,6],[3,8],[3,10],[3,16]], [[3,6],[3,8],[3,14],[3,15]], [[3,11],[3,12],[3,13],[3,16]], [[3,11],[3,13],[3,14],[3,16]], [[3,11],[4,11],[5,11],[9,11]], [[3,13],[4,13],[5,13],[7,13]], [[3,15],[4,15],[5,15],[7,15]], [[4,6],[4,8],[4,13],[4,14]], [[4,6],[4,8],[4,13],[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]], [[4,8],[4,13],[4,14],[4,15]], [[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]], [[4,12],[5,12],[7,12],[9,12]], [[4,15],[5,15],[7,15],[9,15]], [[5,6],[5,8],[5,11],[5,15]], [[5,6],[5,11],[5,13],[5,15]], [[5,6],[5,12],[5,14],[5,16]], [[5,8],[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]], [[5,10],[5,11],[5,12],[5,13]], [[5,10],[5,11],[5,13],[5,14]], [[5,11],[5,12],[5,13],[5,15]], [[6,7],[7,10],[7,12],[7,15]], [[6,7],[7,10],[7,13],[7,15]], [[6,7],[7,10],[7,14],[7,16]], [[6,7],[7,11],[7,12],[7,15]], [[6,7],[7,11],[7,12],[7,16]], [[6,7],[7,11],[7,13],[7,15]], [[6,7],[7,11],[7,14],[7,16]], [[6,9],[8,9],[9,12],[9,13]], [[6,9],[9,10],[9,13],[9,16]], [[6,9],[9,10],[9,14],[9,16]], [[6,9],[9,11],[9,12],[9,14]], [[6,9],[9,12],[9,13],[9,14]], [[7,8],[7,10],[7,14],[7,16]], [[7,11],[7,12],[7,13],[7,15]], [[7,11],[7,12],[7,13],[7,16]], [[7,11],[7,13],[7,14],[7,16]], [[8,9],[9,10],[9,11],[9,16]], [[8,9],[9,10],[9,14],[9,16]], [[1,6],[1,8],[1,12],[6,9],[8,9],[9,12]], [[1,6],[1,8],[1,13],[6,7],[7,8],[7,13]], [[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],[1,8],[6,7],[6,9],[7,8],[8,9]], [[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],[1,12],[5,6],[5,12],[6,9],[9,12]], [[1,6],[1,13],[1,16],[2,6],[2,13],[2,16]], [[1,6],[1,13],[2,6],[2,13],[6,7],[7,13]], [[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]], [[1,6],[1,15],[2,6],[2,15],[6,9],[9,15]], [[1,6],[1,15],[3,6],[3,15],[6,9],[9,15]], [[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],[1,11],[3,8],[3,11],[7,8],[7,11]], [[1,8],[1,11],[4,8],[4,11],[7,8],[7,11]], [[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],[1,12],[3,8],[3,12],[8,9],[9,12]], [[1,8],[1,13],[1,15],[4,8],[4,13],[4,15]], [[1,8],[1,13],[1,15],[7,8],[7,13],[7,15]], [[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],[1,15],[4,8],[4,15],[7,8],[7,15]], [[1,8],[1,16],[2,8],[2,16],[3,8],[3,16]], [[1,10],[1,11],[1,12],[5,10],[5,11],[5,12]], [[1,10],[1,11],[1,14],[7,10],[7,11],[7,14]], [[1,10],[1,11],[3,10],[3,11],[7,10],[7,11]], [[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],[1,15],[9,10],[9,14],[9,15]], [[1,10],[1,14],[3,10],[3,14],[4,10],[4,14]], [[1,10],[1,14],[7,10],[7,14],[9,10],[9,14]], [[1,10],[1,15],[3,10],[3,15],[9,10],[9,15]], [[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],[1,13],[1,14],[9,11],[9,13],[9,14]], [[1,11],[1,13],[4,11],[4,13],[9,11],[9,13]], [[1,11],[1,14],[7,11],[7,14],[9,11],[9,14]], [[1,11],[1,15],[1,16],[4,11],[4,15],[4,16]], [[1,11],[1,15],[1,16],[9,11],[9,15],[9,16]], [[1,11],[1,15],[2,11],[2,15],[4,11],[4,15]], [[1,11],[1,15],[2,11],[2,15],[9,11],[9,15]], [[1,11],[1,16],[4,11],[4,16],[9,11],[9,16]], [[1,12],[1,13],[1,15],[4,12],[4,13],[4,15]], [[1,12],[1,13],[1,15],[7,12],[7,13],[7,15]], [[1,12],[1,13],[1,16],[3,12],[3,13],[3,16]], [[1,12],[1,13],[1,16],[7,12],[7,13],[7,16]], [[1,12],[1,15],[1,16],[4,12],[4,15],[4,16]], [[1,12],[1,15],[1,16],[7,12],[7,15],[7,16]], [[1,12],[1,16],[2,12],[2,16],[3,12],[3,16]], [[1,13],[1,14],[4,13],[4,14],[9,13],[9,14]], [[1,13],[1,16],[2,13],[2,16],[5,13],[5,16]], [[1,13],[1,16],[5,13],[5,16],[7,13],[7,16]], [[1,14],[1,15],[1,16],[5,14],[5,15],[5,16]], [[1,14],[1,15],[1,16],[9,14],[9,15],[9,16]], [[1,14],[1,15],[2,14],[2,15],[5,14],[5,15]], [[1,14],[1,16],[4,14],[4,16],[5,14],[5,16]], [[1,14],[1,16],[4,14],[4,16],[9,14],[9,16]], [[1,15],[1,16],[5,15],[5,16],[7,15],[7,16]], [[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],[2,12],[6,9],[9,11],[9,12]], [[2,6],[2,11],[2,13],[5,6],[5,11],[5,13]], [[2,6],[2,11],[2,13],[6,7],[7,11],[7,13]], [[2,6],[2,11],[6,7],[6,9],[7,11],[9,11]], [[2,6],[2,12],[4,6],[4,12],[5,6],[5,12]], [[2,6],[2,12],[5,6],[5,12],[6,9],[9,12]], [[2,6],[2,13],[2,15],[3,6],[3,13],[3,15]], [[2,6],[2,13],[3,6],[3,13],[5,6],[5,13]], [[2,6],[2,15],[3,6],[3,15],[6,9],[9,15]], [[2,8],[2,10],[2,13],[8,9],[9,10],[9,13]], [[2,8],[2,10],[4,8],[4,10],[7,8],[7,10]], [[2,8],[2,10],[4,8],[4,10],[8,9],[9,10]], [[2,8],[2,10],[5,8],[5,10],[7,8],[7,10]], [[2,8],[2,12],[2,13],[8,9],[9,12],[9,13]], [[2,8],[2,12],[3,8],[3,12],[7,8],[7,12]], [[2,8],[2,12],[4,8],[4,12],[7,8],[7,12]], [[2,8],[2,12],[4,8],[4,12],[8,9],[9,12]], [[2,8],[2,14],[2,16],[7,8],[7,14],[7,16]], [[2,8],[2,14],[5,8],[5,14],[7,8],[7,14]], [[2,8],[2,16],[3,8],[3,16],[7,8],[7,16]], [[2,10],[2,11],[4,10],[4,11],[7,10],[7,11]], [[2,10],[2,11],[5,10],[5,11],[7,10],[7,11]], [[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],[2,13],[2,16],[9,10],[9,13],[9,16]], [[2,10],[2,16],[4,10],[4,16],[5,10],[5,16]], [[2,10],[2,16],[4,10],[4,16],[9,10],[9,16]], [[2,11],[2,12],[2,14],[4,11],[4,12],[4,14]], [[2,11],[2,12],[2,14],[9,11],[9,12],[9,14]], [[2,11],[2,13],[5,11],[5,13],[7,11],[7,13]], [[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],[2,14],[3,11],[3,14],[9,11],[9,14]], [[2,11],[2,15],[2,16],[3,11],[3,15],[3,16]], [[2,11],[2,15],[3,11],[3,15],[9,11],[9,15]], [[2,12],[2,13],[2,14],[9,12],[9,13],[9,14]], [[2,12],[2,14],[3,12],[3,14],[7,12],[7,14]], [[2,12],[2,14],[4,12],[4,14],[7,12],[7,14]], [[2,12],[2,15],[2,16],[3,12],[3,15],[3,16]], [[2,13],[2,14],[3,13],[3,14],[9,13],[9,14]], [[2,13],[2,16],[4,13],[4,16],[5,13],[5,16]], [[2,13],[2,16],[4,13],[4,16],[9,13],[9,16]], [[2,14],[2,15],[4,14],[4,15],[7,14],[7,15]], [[2,14],[2,15],[5,14],[5,15],[7,14],[7,15]], [[2,14],[2,16],[3,14],[3,16],[7,14],[7,16]], [[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],[3,10],[3,12],[6,7],[7,10],[7,12]], [[3,6],[3,10],[3,16],[6,7],[7,10],[7,16]], [[3,6],[3,12],[4,6],[4,12],[6,7],[7,12]], [[3,6],[3,13],[3,15],[5,6],[5,13],[5,15]], [[3,6],[3,16],[4,6],[4,16],[6,7],[7,16]], [[3,8],[3,10],[3,11],[7,8],[7,10],[7,11]], [[3,8],[3,10],[3,16],[7,8],[7,10],[7,16]], [[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],[3,12],[7,8],[7,12],[8,9],[9,12]], [[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]], [[3,10],[3,12],[3,14],[4,10],[4,12],[4,14]], [[3,10],[3,12],[3,15],[9,10],[9,12],[9,15]], [[3,10],[3,12],[7,10],[7,12],[9,10],[9,12]], [[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]], [[3,11],[3,13],[3,14],[9,11],[9,13],[9,14]], [[3,11],[3,13],[4,11],[4,13],[9,11],[9,13]], [[3,11],[3,15],[3,16],[9,11],[9,15],[9,16]], [[3,11],[3,16],[5,11],[5,16],[9,11],[9,16]], [[3,12],[3,14],[4,12],[4,14],[7,12],[7,14]], [[3,12],[3,15],[3,16],[9,12],[9,15],[9,16]], [[3,12],[3,16],[5,12],[5,16],[9,12],[9,16]], [[3,13],[3,14],[3,16],[7,13],[7,14],[7,16]], [[3,13],[3,14],[5,13],[5,14],[7,13],[7,14]], [[3,13],[3,16],[4,13],[4,16],[7,13],[7,16]], [[3,14],[3,15],[4,14],[4,15],[7,14],[7,15]], [[3,14],[3,15],[5,14],[5,15],[7,14],[7,15]], [[4,6],[4,12],[5,6],[5,12],[6,7],[7,12]], [[4,6],[4,13],[4,14],[6,9],[9,13],[9,14]], [[4,6],[4,13],[4,16],[6,9],[9,13],[9,16]], [[4,6],[4,14],[4,16],[5,6],[5,14],[5,16]], [[4,6],[4,14],[4,16],[6,9],[9,14],[9,16]], [[4,6],[4,16],[5,6],[5,16],[6,7],[7,16]], [[4,8],[4,10],[4,11],[7,8],[7,10],[7,11]], [[4,8],[4,10],[4,11],[8,9],[9,10],[9,11]], [[4,8],[4,11],[5,8],[5,11],[8,9],[9,11]], [[4,8],[4,12],[7,8],[7,12],[8,9],[9,12]], [[4,8],[4,15],[5,8],[5,15],[8,9],[9,15]], [[4,8],[4,15],[7,8],[7,15],[8,9],[9,15]], [[4,10],[4,11],[4,16],[9,10],[9,11],[9,16]], [[4,13],[4,16],[5,13],[5,16],[7,13],[7,16]], [[5,6],[5,12],[5,16],[6,7],[7,12],[7,16]], [[5,8],[5,10],[5,13],[8,9],[9,10],[9,13]], [[5,8],[5,10],[5,14],[7,8],[7,10],[7,14]], [[5,8],[5,10],[5,14],[8,9],[9,10],[9,14]], [[5,8],[5,11],[5,16],[8,9],[9,11],[9,16]], [[5,8],[5,13],[5,15],[8,9],[9,13],[9,15]], [[5,8],[5,14],[5,16],[8,9],[9,14],[9,16]], [[5,10],[5,11],[5,14],[7,10],[7,11],[7,14]], [[5,10],[5,13],[5,15],[9,10],[9,13],[9,15]], [[5,10],[5,14],[5,15],[9,10],[9,14],[9,15]], [[5,11],[5,13],[5,14],[7,11],[7,13],[7,14]], [[5,12],[5,16],[7,12],[7,16],[9,12],[9,16]], [[5,14],[5,15],[5,16],[9,14],[9,15],[9,16]], [[5,15],[5,16],[7,15],[7,16],[9,15],[9,16]], [[6,7],[6,9],[7,8],[7,13],[8,9],[9,13]], [[6,7],[6,9],[7,10],[7,13],[9,10],[9,13]], [[6,7],[6,9],[7,10],[7,14],[9,10],[9,14]], [[6,7],[6,9],[7,11],[7,14],[9,11],[9,14]], [[7,8],[7,13],[7,15],[8,9],[9,13],[9,15]], [[7,10],[7,12],[7,15],[9,10],[9,12],[9,15]], [[7,10],[7,13],[7,15],[9,10],[9,13],[9,15]], [[7,12],[7,15],[7,16],[9,12],[9,15],[9,16]], ]; # PL-equivalent to # G(5) f = (16,112,192,96) 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],[1,5,6,8],[1,5,7,9],[1,5,8,9],[2,3,4,10], [2,3,5,11],[2,3,8,10],[2,3,8,11],[2,4,6,10],[2,5,6,12],[2,5,11,13], [2,5,12,13],[2,6,9,10],[2,6,9,14],[2,6,12,14],[2,7,8,10],[2,7,8,15], [2,7,9,10],[2,7,9,15],[2,8,11,16],[2,8,15,16],[2,9,14,15],[2,11,13,16], [2,12,13,14],[2,13,14,15],[2,13,15,16],[3,4,7,14],[3,4,10,15], [3,4,14,15],[3,5,7,11],[3,6,7,11],[3,6,7,13],[3,6,9,11],[3,6,9,13], [3,7,13,14],[3,8,9,11],[3,8,9,12],[3,8,10,12],[3,9,12,16],[3,9,13,16], [3,10,12,15],[3,12,15,16],[3,13,14,15],[3,13,15,16],[4,5,10,13], [4,5,10,15],[4,5,12,13],[4,5,12,16],[4,5,14,15],[4,5,14,16],[4,6,8,13], [4,6,10,13],[4,7,9,16],[4,7,14,16],[4,8,9,12],[4,8,12,13],[4,9,12,16], [5,6,8,16],[5,6,12,16],[5,7,9,15],[5,7,11,15],[5,8,9,14],[5,8,14,16], [5,9,14,15],[5,10,11,13],[5,10,11,15],[6,7,8,13],[6,7,8,15], [6,7,11,15],[6,8,15,16],[6,9,10,13],[6,9,11,14],[6,11,12,14], [6,11,12,15],[6,12,15,16],[7,8,10,12],[7,8,12,13],[7,9,10,16], [7,10,12,14],[7,10,14,16],[7,12,13,14],[8,9,11,14],[8,11,14,16], [9,10,13,16],[10,11,12,14],[10,11,12,15],[10,11,13,16],[10,11,14,16] ];