Polytope Information:
========================
Num_Vertices:=40;
Order_of_Aut_Grp:=1920;
Num_Facet_Orbits:=24;
Facet_Incidences:=[ 10, 11, 12 ];
Cos_squared_of_deep hole:=1/6;
Deep_hole_facet_orbits:=[ 7, 12, 17, 24 ];
Orbits_Of_Facets:=[ [ 2, 5, 12, 15, 17, 18, 29, 34, 39, 40 ], [ 2, 5, 12, 15, 17, 29, 34, 36, 39, 40 ], 
  [ 2, 5, 9, 15, 17, 29, 34, 36, 39, 40 ], [ 2, 5, 9, 15, 17, 18, 29, 34, 39, 40 ], 
  [ 2, 4, 9, 15, 17, 18, 29, 34, 39, 40 ], [ 2, 4, 5, 9, 15, 17, 18, 34, 39, 40 ], 
  [ 2, 5, 9, 15, 17, 18, 29, 34, 36, 40 ], [ 2, 5, 10, 12, 15, 17, 18, 29, 34, 39 ], 
  [ 2, 5, 12, 15, 17, 18, 27, 34, 39, 40 ], [ 2, 5, 12, 15, 18, 25, 29, 34, 39, 40 ], 
  [ 2, 5, 10, 12, 17, 18, 29, 34, 39, 40 ], [ 2, 12, 15, 17, 18, 27, 29, 34, 36, 39, 40 ], 
  [ 2, 5, 10, 12, 15, 17, 29, 34, 36, 39 ], [ 2, 5, 12, 15, 25, 29, 34, 36, 39, 40 ], 
  [ 2, 5, 9, 15, 25, 29, 34, 36, 39, 40 ], [ 2, 4, 9, 15, 18, 25, 29, 34, 39, 40 ], 
  [ 2, 4, 5, 9, 11, 14, 15, 18, 25, 34, 39, 40 ], [ 2, 4, 5, 15, 17, 18, 27, 34, 39, 40 ], 
  [ 2, 5, 10, 12, 15, 17, 18, 27, 34, 39 ], [ 2, 10, 12, 15, 17, 18, 27, 29, 34, 39 ], 
  [ 2, 10, 12, 15, 17, 27, 29, 34, 36, 39 ], [ 2, 5, 10, 12, 15, 18, 27, 34, 38, 39 ], 
  [ 10, 12, 15, 16, 17, 18, 27, 29, 34, 39 ], [ 8, 10, 12, 15, 16, 17, 23, 27, 29, 34, 36, 39 ] ];
Vertex_Coordinates:=
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      1/6, 1 ] ];



Facet Orbit Nr.1:
========================
Num_Vertices:=10;
Order_of_Auto_Grp:=2;
Order_of_Stab_in_Grp_of_Poly:=1;
Orbit_Size:=1920;
Cos_squared_of_corr_hole:=96/571;
Vertices_in_Facet:=[ 2, 5, 12, 15, 17, 18, 29, 34, 39, 40 ];
Vertices_of_Repr:=
[ [ 1, -1/2, 1, 1/6, 1/6, 1/6, -1/2, -1/3, -1/2, 1/6, 1/6, -1/2, 1/6, 0, 1/6, 1/6, -1/2, -1/2, 1/6, -1/3, 
      1/6, 0, 1/6, 1/6, 1/6, 1/6, 1/6, 1/6, -1/3, 1/6, 1/6, 1/6, 1/6, -1/2, 1/6, 1/6, 1/6, -1/2, 0, 1/6, 
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Facet Orbit Nr.13:
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Facet Orbit Nr.18:
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Facet Orbit Nr.19:
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Facet Orbit Nr.20:
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Facet Orbit Nr.21:
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Facet Orbit Nr.22:
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Facet Orbit Nr.23:
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Facet Orbit Nr.24:
========================
Num_Vertices:=12;
Order_of_Auto_Grp:=3072;
Order_of_Stab_in_Grp_of_Poly:=96;
Orbit_Size:=20;
Cos_squared_of_corr_hole:=1/6;
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