Polytope Information:
========================
Num_Vertices:=32;
Order_of_Aut_Grp:=2304;
Num_Facet_Orbits:=25;
Facet_Incidences:=[ 13, 14, 16, 18 ];
Cos_squared_of_deep hole:=9/169;
Deep_hole_facet_orbits:=[ 9 ];
Orbits_Of_Facets:=[ [ 1, 9, 12, 15, 16, 18, 20, 23, 24, 27, 28, 29, 32 ], 
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  [ 1, 5, 9, 12, 15, 16, 18, 20, 24, 27, 28, 29, 32 ], 
  [ 1, 4, 5, 6, 12, 13, 15, 20, 23, 24, 27, 28, 31, 32 ], 
  [ 1, 4, 5, 6, 12, 13, 15, 20, 23, 24, 27, 28, 29, 31 ], 
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  [ 1, 4, 6, 12, 13, 15, 20, 23, 24, 27, 28, 29, 32 ], 
  [ 1, 9, 11, 12, 13, 15, 16, 18, 20, 21, 23, 24, 25, 26, 27, 29, 30, 32 ], 
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  [ 1, 5, 9, 15, 16, 18, 19, 20, 23, 27, 28, 29, 32 ], 
  [ 1, 4, 5, 6, 12, 15, 18, 20, 24, 26, 28, 31, 32 ], 
  [ 1, 3, 5, 6, 12, 15, 16, 18, 20, 23, 24, 26, 27, 28, 31, 32 ], 
  [ 1, 4, 9, 11, 12, 13, 15, 18, 20, 23, 24, 28, 29, 32 ], 
  [ 1, 9, 12, 13, 14, 15, 16, 18, 23, 27, 28, 29, 32 ], 
  [ 1, 4, 5, 6, 10, 12, 15, 18, 20, 24, 26, 31, 32 ], 
  [ 1, 4, 5, 6, 8, 10, 12, 15, 18, 20, 24, 26, 32 ], 
  [ 1, 4, 5, 6, 8, 10, 12, 15, 20, 24, 26, 31, 32 ], 
  [ 1, 4, 5, 8, 9, 10, 12, 15, 20, 24, 26, 31, 32 ], 
  [ 1, 4, 5, 8, 9, 10, 12, 15, 20, 24, 25, 31, 32 ], 
  [ 1, 4, 8, 9, 10, 11, 12, 13, 15, 20, 24, 25, 26, 30, 31, 32 ] ];
Vertex_Coordinates:=
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Facet Orbit Nr.1:
========================
Num_Vertices:=13;
Order_of_Auto_Grp:=1;
Order_of_Stab_in_Grp_of_Poly:=1;
Orbit_Size:=2304;
Cos_squared_of_corr_hole:=361/4771;
Vertices_in_Facet:=[ 1, 9, 12, 15, 16, 18, 20, 23, 24, 27, 28, 29, 32 ];
Vertices_of_Repr:=
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Facet Orbit Nr.5:
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Facet Orbit Nr.6:
========================
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Facet Orbit Nr.7:
========================
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Facet Orbit Nr.8:
========================
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Order_of_Auto_Grp:=2;
Order_of_Stab_in_Grp_of_Poly:=1;
Orbit_Size:=2304;
Cos_squared_of_corr_hole:=1/13;
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Facet Orbit Nr.9:
========================
Num_Vertices:=18;
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Order_of_Stab_in_Grp_of_Poly:=24;
Orbit_Size:=96;
Cos_squared_of_corr_hole:=9/169;
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Facet Orbit Nr.10:
========================
Num_Vertices:=16;
Order_of_Auto_Grp:=6;
Order_of_Stab_in_Grp_of_Poly:=6;
Orbit_Size:=384;
Cos_squared_of_corr_hole:=25/403;
Vertices_in_Facet:=[ 1, 4, 5, 9, 11, 12, 14, 15, 16, 18, 20, 23, 24, 28, 29, 32 ];
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Facet Orbit Nr.11:
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Facet Orbit Nr.12:
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Facet Orbit Nr.13:
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Cos_squared_of_corr_hole:=98/1313;
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Facet Orbit Nr.15:
========================
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Order_of_Auto_Grp:=8;
Order_of_Stab_in_Grp_of_Poly:=4;
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Facet Orbit Nr.17:
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Facet Orbit Nr.18:
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Facet Orbit Nr.19:
========================
Num_Vertices:=13;
Order_of_Auto_Grp:=4;
Order_of_Stab_in_Grp_of_Poly:=2;
Orbit_Size:=1152;
Cos_squared_of_corr_hole:=24/299;
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Facet Orbit Nr.20:
========================
Num_Vertices:=13;
Order_of_Auto_Grp:=16;
Order_of_Stab_in_Grp_of_Poly:=2;
Orbit_Size:=1152;
Cos_squared_of_corr_hole:=49/559;
Vertices_in_Facet:=[ 1, 4, 5, 6, 10, 12, 15, 18, 20, 24, 26, 31, 32 ];
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Facet Orbit Nr.22:
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Facet Orbit Nr.23:
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Facet Orbit Nr.24:
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Facet Orbit Nr.25:
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