##  S^2twistS^1   f = (9,36,54,27), g_2 = 10.
##  deg = 8,8,8,8,8,8,8,8,8
##  n_4,... = 0,0,0,0,9
facets:=[[1,2,3,4],[1,2,3,5],[1,2,4,5],[1,3,4,6],[1,3,5,6],[1,4,5,7],
  [1,4,6,7],[1,5,6,8],[1,5,7,8],[1,6,7,9],[1,6,8,9],[1,7,8,9],[2,3,4,8],
  [2,3,5,9],[2,3,7,8],[2,3,7,9],[2,4,5,9],[2,4,8,9],[2,6,7,8],[2,6,7,9],
  [2,6,8,9],[3,4,5,6],[3,4,5,9],[3,4,8,9],[3,7,8,9],[4,5,6,7],[5,6,7,8]];

##  S^2xS^1   f = (10,40,60,30), g_2 = 10.
##  deg = 8,8,8,8,8,8,8,8,8,8
##  n_4,... = 0,0,0,0,10
facets:=[[1,2,3,4],[1,2,3,5],[1,2,4,5],[1,3,4,6],[1,3,5,6],[1,4,5,7],
  [1,4,6,7],[1,5,6,8],[1,5,7,8],[1,6,7,9],[1,6,8,9],[1,7,8,9],[2,3,4,9],
  [2,3,5,10],[2,3,8,9],[2,3,8,10],[2,4,5,10],[2,4,9,10],[2,7,8,9],
  [2,7,8,10],[2,7,9,10],[3,4,5,6],[3,4,5,10],[3,4,9,10],[3,8,9,10],
  [4,5,6,7],[5,6,7,8],[6,7,8,10],[6,7,9,10],[6,8,9,10]];

##  RP^2xS^1   f = (14,84,140,70), g_2 = 38.
##  deg = 11,11,11,11,12,12,12,12,12,12,13,13,13,13
##  n_4,... = 0,0,0,0,0,0,0,4,6,4
facets:=[[1,2,3,4],[1,2,3,5],[1,2,4,6],[1,2,5,6],[1,3,4,7],[1,3,5,8],
  [1,3,7,8],[1,4,6,9],[1,4,7,9],[1,5,6,10],[1,5,8,10],[1,6,9,11],
  [1,6,10,11],[1,7,8,12],[1,7,9,11],[1,7,11,12],[1,8,10,12],[1,10,11,12],
  [2,3,4,10],[2,3,5,9],[2,3,9,10],[2,4,6,13],[2,4,8,10],[2,4,8,13],
  [2,5,6,7],[2,5,7,9],[2,6,7,13],[2,7,9,14],[2,7,13,14],[2,8,10,12],
  [2,8,12,14],[2,8,13,14],[2,9,10,12],[2,9,12,14],[3,4,7,14],[3,4,10,14],
  [3,5,8,9],[3,6,7,8],[3,6,7,13],[3,6,8,9],[3,6,9,13],[3,7,13,14],
  [3,9,10,13],[3,10,13,14],[4,5,8,10],[4,5,8,11],[4,5,10,14],[4,5,11,12],
  [4,5,12,14],[4,6,9,13],[4,7,9,14],[4,8,11,13],[4,9,12,13],[4,9,12,14],
  [4,11,12,13],[5,6,7,12],[5,6,10,14],[5,6,12,14],[5,7,9,11],[5,7,11,12],
  [5,8,9,11],[6,7,8,12],[6,8,9,11],[6,8,11,14],[6,8,12,14],[6,10,11,14],
  [8,11,13,14],[9,10,12,13],[10,11,12,13],[10,11,13,14]];

##  RP^3#RP^3   f = (15,86,142,71), g_2 = 36.
##  deg = 8,9,9,10,10,10,11,11,12,13,13,14,14,14,14
##  n_4,... = 0,0,0,0,1,2,3,2,1,2,4
facets:=[[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],[1,4,7,8],[1,5,6,9],[1,5,7,9],[1,6,8,9],[1,7,8,9],[2,3,4,9],
  [2,3,5,8],[2,3,8,9],[2,4,6,10],[2,4,9,10],[2,5,6,11],[2,5,8,11],
  [2,6,7,10],[2,6,7,11],[2,7,8,9],[2,7,8,11],[2,7,9,10],[3,4,7,11],
  [3,4,9,11],[3,5,7,12],[3,5,8,12],[3,6,7,10],[3,6,7,11],[3,6,8,9],
  [3,6,8,10],[3,6,9,11],[3,7,10,12],[3,8,10,12],[4,5,10,13],[4,5,10,14],
  [4,5,12,13],[4,5,12,15],[4,5,14,15],[4,6,8,10],[4,7,8,11],[4,8,10,14],
  [4,8,11,15],[4,8,14,15],[4,9,10,13],[4,9,11,12],[4,9,12,13],
  [4,11,12,15],[5,6,9,11],[5,7,9,15],[5,7,12,15],[5,8,11,13],[5,8,12,13],
  [5,9,11,14],[5,9,14,15],[5,10,11,13],[5,10,11,14],[7,9,10,15],
  [7,10,12,15],[8,10,12,14],[8,11,13,15],[8,12,13,14],[8,13,14,15],
  [9,10,13,15],[9,11,12,14],[9,12,13,14],[9,13,14,15],[10,11,12,14],
  [10,11,12,15],[10,11,13,15]];