# This is the polytope P(3,3,3)
# from Section 5 of the paper

# Matthias Franz,
# Moment polytopes of projective G-varieties and
# tensor products of symmetric group representations, 
# Journal of Lie Theory 12, 539-549 (2002)

# format: polymake

# created by the Maple package `convex' version 0.93

AMBIENT_DIM
9

DIM
6

N_VERTICES
33

N_FACETS
45

VERTICES
 1 1 0 0 1 0 0 1 0 0
 3 1 1 1 1 1 1 3 0 0
 3 1 1 1 3 0 0 1 1 1
 3 3 0 0 1 1 1 1 1 1
 2 1 1 0 1 1 0 2 0 0
 2 1 1 0 2 0 0 1 1 0
 2 2 0 0 1 1 0 1 1 0
 3 1 1 1 2 1 0 2 1 0
 3 2 1 0 2 1 0 1 1 1
 3 2 1 0 1 1 1 2 1 0
 6 2 2 2 3 3 0 4 1 1
 6 3 3 0 4 1 1 2 2 2
 6 4 1 1 2 2 2 3 3 0
 6 3 3 0 2 2 2 4 1 1
 6 2 2 2 4 1 1 3 3 0
 6 4 1 1 3 3 0 2 2 2
 6 3 3 0 4 1 1 4 1 1
 6 4 1 1 4 1 1 3 3 0
 6 4 1 1 3 3 0 4 1 1
 6 2 2 2 3 3 0 3 3 0
 6 3 3 0 3 3 0 2 2 2
 6 3 3 0 2 2 2 3 3 0
 4 2 1 1 2 2 0 3 1 0
 4 2 2 0 3 1 0 2 1 1
 4 3 1 0 2 1 1 2 2 0
 4 2 2 0 2 1 1 3 1 0
 4 2 1 1 3 1 0 2 2 0
 4 3 1 0 2 2 0 2 1 1
 3 1 1 1 1 1 1 1 1 1
 6 2 2 2 2 2 2 3 3 0
 6 2 2 2 3 3 0 2 2 2
 6 3 3 0 2 2 2 2 2 2
 2 1 1 0 1 1 0 1 1 0

FACETS
 0 0 1 -1 0 0 0 0 0 0
 0 0 0 0 0 0 0 0 1 -1
 3 1 1 1 -5 -5 13 1 1 1
 0 0 0 0 0 1 -1 0 0 0
 3 1 1 1 1 1 1 -5 -5 13
 3 -5 -5 13 1 1 1 1 1 1
 0 0 0 0 1 -1 0 0 0 0
 0 0 0 0 0 0 0 1 -1 0
 0 1 -1 0 0 0 0 0 0 0
 3 7 1 -5 1 -5 7 -5 1 7
 3 1 -5 7 7 1 -5 -5 1 7
 3 1 -5 7 -5 1 7 7 1 -5
 3 7 1 -5 -5 1 7 1 -5 7
 3 -5 1 7 1 -5 7 7 1 -5
 3 -5 1 7 7 1 -5 1 -5 7
 3 -5 7 1 7 -5 1 -5 7 1
 3 -5 7 1 -5 7 1 7 -5 1
 3 7 -5 1 -5 7 1 -5 7 1
 3 -2 7 -2 4 -5 4 -5 4 4
 3 -2 7 -2 -5 4 4 4 -5 4
 3 7 -2 -2 -5 4 4 -5 4 4
 3 -5 4 4 4 -5 4 -2 7 -2
 3 -5 4 4 -5 4 4 7 -2 -2
 3 4 -5 4 -5 4 4 -2 7 -2
 3 1 7 -5 1 -5 7 -5 7 1
 3 7 1 -5 -5 1 7 -5 7 1
 3 4 4 -5 -2 -2 7 -5 4 4
 3 -5 7 1 1 -5 7 1 7 -5
 3 -5 7 1 -5 1 7 7 1 -5
 3 -5 4 4 -2 -2 7 4 4 -5
 3 -5 4 4 7 -2 -2 -5 4 4
 3 -5 4 4 -2 7 -2 4 -5 4
 3 4 -5 4 -2 7 -2 -5 4 4
 3 1 7 -5 -5 7 1 1 -5 7
 3 7 1 -5 -5 7 1 -5 1 7
 3 4 4 -5 -5 4 4 -2 -2 7
 3 -5 7 1 7 1 -5 -5 1 7
 3 -5 7 1 1 7 -5 1 -5 7
 3 -5 4 4 4 4 -5 -2 -2 7
 3 -5 1 7 7 1 -5 -5 7 1
 3 1 -5 7 1 7 -5 -5 7 1
 3 -2 -2 7 4 4 -5 -5 4 4
 3 -5 1 7 -5 7 1 7 1 -5
 3 1 -5 7 -5 7 1 1 7 -5
 3 -2 -2 7 -5 4 4 4 4 -5

AFFINE_HULL
 0 -1 -1 -1 1 1 1 0 0 0
 0 -1 -1 -1 0 0 0 1 1 1
 1 -1 -1 -1 0 0 0 0 0 0

VERTICES_IN_FACETS
{ 0 1 2 3 6 7 10 12 14 15 17 18 19 22 26 28 29 30 }
{ 0 1 2 3 4 8 10 11 13 15 16 18 20 23 27 28 30 31 }
{ 0 2 4 5 6 7 8 10 15 18 19 20 22 23 26 27 30 32 }
{ 0 1 2 3 5 9 11 12 13 14 16 17 21 24 25 28 29 31 }
{ 0 1 4 5 6 7 9 12 14 17 19 21 22 24 25 26 29 32 }
{ 0 3 4 5 6 8 9 11 13 16 20 21 23 24 25 27 31 32 }
{ 1 3 4 6 9 10 12 13 15 18 19 20 21 22 27 28 29 30 31 32 }
{ 2 3 5 6 8 11 12 14 15 17 19 20 21 24 26 28 29 30 31 32 }
{ 1 2 4 5 7 10 11 13 14 16 19 20 21 23 25 28 29 30 31 32 }
{ 1 4 7 10 19 22 }
{ 1 4 9 13 21 25 }
{ 2 5 8 11 20 23 }
{ 2 5 7 14 19 26 }
{ 3 6 8 15 20 27 }
{ 3 6 9 12 21 24 }
{ 0 1 3 4 6 18 }
{ 0 2 3 5 6 17 }
{ 0 1 2 4 5 16 }
{ 0 1 4 6 18 22 }
{ 0 2 5 6 17 26 }
{ 0 1 2 4 5 7 }
{ 0 3 4 6 18 27 }
{ 0 2 3 5 6 8 }
{ 0 2 4 5 16 23 }
{ 0 1 4 10 18 22 }
{ 0 1 2 4 7 10 }
{ 0 1 4 7 10 22 }
{ 0 3 6 15 18 27 }
{ 0 2 3 6 8 15 }
{ 0 3 6 8 15 27 }
{ 0 1 3 4 6 9 }
{ 0 3 5 6 17 24 }
{ 0 1 4 5 16 25 }
{ 0 2 5 14 17 26 }
{ 0 1 2 5 7 14 }
{ 0 2 5 7 14 26 }
{ 0 1 3 6 9 12 }
{ 0 3 6 12 17 24 }
{ 0 3 6 9 12 24 }
{ 0 1 3 4 9 13 }
{ 0 1 4 13 16 25 }
{ 0 1 4 9 13 25 }
{ 0 2 3 5 8 11 }
{ 0 2 5 11 16 23 }
{ 0 2 5 8 11 23 }

FAR_FACE
{ }