_application polytope _version 2.1.0 _type RationalPolytope VERTICES 1 0 0 0 0 1 0 0 0 1 1 0 0 1 0 1 0 1 0 1 1 0 1 1 0 1 1 0 1 1 1 1 1 0 0 DIM 4 AMBIENT_DIM 4 FULL_DIM FACETS 0 1 0 0 0 1 1 0 -1 -1 0 0 1 0 0 1 -1 0 1 -1 0 0 0 1 0 0 -1 1 1 0 0 -1 1 0 1 1 -1 0 -1 1 0 0 0 0 1 3 -1 -2 -1 -1 0 1 -1 1 1 AFFINE_HULL VERTICES_IN_FACETS {0 1 2 3 4} {1 2 3 4 5} {0 1 2 5} {1 3 5 6} {0 1 3 6} {0 1 5 6} {0 2 5 6} {2 4 5 6} {0 2 4 6} {3 4 5 6} {0 3 4 6} HASSE_DIAGRAM 1 8 27 50 61 <({} {1 2 3 4 5 6 7}) ({0} {8 9 10 11 12 13}) ({1} {8 14 15 16 17}) ({2} {9 14 18 19 20}) ({3} {10 15 21 22 23}) ({4} {11 18 21 24 25}) ({5} {12 16 19 22 24 26}) ({6} {13 17 20 23 25 26}) ({0 1} {27 28 29 30}) ({0 2} {27 31 32 33}) ({0 3} {28 34 35}) ({0 4} {31 34 36}) ({0 5} {29 32 37}) ({0 6} {30 33 35 36 37}) ({1 2} {27 38 39}) ({1 3} {28 38 40 41}) ({1 5} {29 39 40 42}) ({1 6} {30 41 42}) ({2 4} {31 38 43 44}) ({2 5} {32 39 43 45}) ({2 6} {33 44 45}) ({3 4} {34 38 46 47}) ({3 5} {40 46 48}) ({3 6} {35 41 47 48}) ({4 5} {43 46 49}) ({4 6} {36 44 47 49}) ({5 6} {37 42 45 48 49}) ({0 1 2} {50 52}) ({0 1 3} {50 54}) ({0 1 5} {52 55}) ({0 1 6} {54 55}) ({0 2 4} {50 58}) ({0 2 5} {52 56}) ({0 2 6} {56 58}) ({0 3 4} {50 60}) ({0 3 6} {54 60}) ({0 4 6} {58 60}) ({0 5 6} {55 56}) ({1 2 3 4} {50 51}) ({1 2 5} {51 52}) ({1 3 5} {51 53}) ({1 3 6} {53 54}) ({1 5 6} {53 55}) ({2 4 5} {51 57}) ({2 4 6} {57 58}) ({2 5 6} {56 57}) ({3 4 5} {51 59}) ({3 4 6} {59 60}) ({3 5 6} {53 59}) ({4 5 6} {57 59}) ({0 1 2 3 4} {61}) ({1 2 3 4 5} {61}) ({0 1 2 5} {61}) ({1 3 5 6} {61}) ({0 1 3 6} {61}) ({0 1 5 6} {61}) ({0 2 5 6} {61}) ({2 4 5 6} {61}) ({0 2 4 6} {61}) ({3 4 5 6} {61}) ({0 3 4 6} {61}) ({0 1 2 3 4 5 6} {}) > F_VECTOR 7 19 23 11 F2_VECTOR 7 38 70 46 38 19 70 70 70 70 23 46 46 70 46 11 GRAPH {1 2 3 4 5 6} {0 2 3 5 6} {0 1 4 5 6} {0 1 4 5 6} {0 2 3 5 6} {0 1 2 3 4 6} {0 1 2 3 4 5} VERTEX_DEGREES 6 5 5 5 5 6 6 DUAL_GRAPH {1 2 4 8 10} {0 2 3 7 9} {0 1 5 6} {1 4 5 9} {0 3 5 10} {2 3 4 6} {2 5 7 8} {1 6 8 9} {0 6 7 10} {1 3 7 10} {0 4 8 9} FACET_DEGREES 5 5 4 4 4 4 4 4 4 4 4 N_VERTICES 7 N_FACETS 11 SIMPLICIAL 0 NEIGHBORLY 0 SIMPLICIALITY 1 NEIGHBORLINESS 1 SIMPLE 0 BALANCED 0 SIMPLICITY 1 BALANCE 1 BOUNDED 1 VERTEX_BARYCENTER 1 2/7 3/7 3/7 3/7 VERTEX_SIZES 7 6 6 6 6 7 8 FACET_SIZES 5 5 4 4 4 4 4 4 4 4 4