Polytope Information:
========================
Num_Vertices:=552;
Order_of_Aut_Grp:=991533312000;
Num_Facet_Orbits:=116;
Facet_Incidences:=[ 23, 24, 25, 26, 27, 28, 31, 32, 33, 37, 51, 100 ];
Cos_squared_of_deep hole:=3/25;
Deep_hole_facet_orbits:=[ 15 ];
In_Affine_Hyperplane_With_Normal:=[ -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 1, 1, 1, 1, 1 ];
Orbits_Of_Facets:=
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Facet Orbit Nr.1:
========================
Num_Vertices:=23;
Order_of_Auto_Grp:=1;
Order_of_Stab_in_Grp_of_Poly:=1;
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Facet Orbit Nr.2:
========================
Num_Vertices:=23;
Order_of_Auto_Grp:=4;
Order_of_Stab_in_Grp_of_Poly:=2;
Orbit_Size:=495766656000;
Cos_squared_of_corr_hole:=729/3625;
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Facet Orbit Nr.3:
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Facet Orbit Nr.4:
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Facet Orbit Nr.11:
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Facet Orbit Nr.15:
========================
Num_Vertices:=100;
Order_of_Auto_Grp:=88704000;
Order_of_Stab_in_Grp_of_Poly:=44352000;
Orbit_Size:=22356;
Cos_squared_of_corr_hole:=3/25;
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========================
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Facet Orbit Nr.17:
========================
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Order_of_Auto_Grp:=252000;
Order_of_Stab_in_Grp_of_Poly:=126000;
Orbit_Size:=7869312;
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Facet Orbit Nr.18:
========================
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Order_of_Auto_Grp:=10080;
Order_of_Stab_in_Grp_of_Poly:=2520;
Orbit_Size:=393465600;
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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:
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Facet Orbit Nr.26:
========================
Num_Vertices:=26;
Order_of_Auto_Grp:=24;
Order_of_Stab_in_Grp_of_Poly:=6;
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Cos_squared_of_corr_hole:=81/425;
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Facet Orbit Nr.27:
========================
Num_Vertices:=23;
Order_of_Auto_Grp:=1;
Order_of_Stab_in_Grp_of_Poly:=1;
Orbit_Size:=991533312000;
Cos_squared_of_corr_hole:=1089/5545;
Vertices_in_Facet:=[ 161, 171, 178, 195, 200, 201, 209, 221, 398, 402, 512, 528, 530, 531, 539, 540, 541, 542, 543, 
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Facet Orbit Nr.37:
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Facet Orbit Nr.38:
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Facet Orbit Nr.39:
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Facet Orbit Nr.40:
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Facet Orbit Nr.42:
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Facet Orbit Nr.43:
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Facet Orbit Nr.44:
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Facet Orbit Nr.45:
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Facet Orbit Nr.46:
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Facet Orbit Nr.47:
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Facet Orbit Nr.48:
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Facet Orbit Nr.49:
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Facet Orbit Nr.54:
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Facet Orbit Nr.56:
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Facet Orbit Nr.59:
========================
Num_Vertices:=23;
Order_of_Auto_Grp:=16;
Order_of_Stab_in_Grp_of_Poly:=1;
Orbit_Size:=991533312000;
Cos_squared_of_corr_hole:=18/89;
Vertices_in_Facet:=[ 1, 161, 171, 178, 195, 200, 221, 380, 398, 402, 512, 528, 530, 531, 534, 536, 538, 539, 540, 
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Facet Orbit Nr.60:
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Facet Orbit Nr.61:
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Facet Orbit Nr.62:
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Facet Orbit Nr.63:
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Facet Orbit Nr.64:
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Facet Orbit Nr.65:
========================
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========================
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Facet Orbit Nr.80:
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Facet Orbit Nr.81:
========================
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Order_of_Stab_in_Grp_of_Poly:=24;
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Facet Orbit Nr.90:
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Facet Orbit Nr.91:
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Facet Orbit Nr.92:
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Facet Orbit Nr.93:
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Facet Orbit Nr.94:
========================
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Cos_squared_of_corr_hole:=1083/5515;
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Facet Orbit Nr.106:
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Facet Orbit Nr.107:
========================
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Facet Orbit Nr.114:
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