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Euclidean automorphism group of order 48 (possibly approximation if very large)
Integrality not known
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3 permutations of 8 vertices of polyhedron
Perm 1: 1 3 2 4 5 7 6 8
Perm 2: 1 2 5 6 3 4 7 8
Perm 3: 2 1 4 3 6 5 8 7
Cycle decompositions
Perm 1: (2 3) (6 7) --
Perm 2: (3 5) (4 6) --
Perm 3: (1 2) (3 4) (5 6) (7 8) --
1 orbits of vertices of polyhedron
Orbit 1 , length 8: 1 2 3 4 5 6 7 8
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3 permutations of 6 support hyperplanes
Perm 1: 1 3 2 5 4 6
Perm 2: 2 1 3 4 6 5
Perm 3: 1 2 4 3 5 6
Cycle decompositions
Perm 1: (2 3) (4 5) --
Perm 2: (1 2) (5 6) --
Perm 3: (3 4) --
1 orbits of support hyperplanes
Orbit 1 , length 6: 1 2 3 4 5 6
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