_application polytope _version 2.1.0 _type RationalPolytope POINTS 1 3 0 0 0 1 1 1 1 1 1 0 3 0 0 1 0 0 3 0 1 0 0 0 3/2 1 -3 0 0 0 1 0 0 -3 0 1 0 -3 0 0 1 -1 -1 -1 1 FACETS 3 1 -1 -1 -2 3 1 1 -1 -2 3 1 1 1 0 3 1 -1 1 -2 3 -1 -1 -1 0 0 0 0 0 1 3 -1 1 1 -2 3 -1 1 -1 -2 3 -1 -1 1 -2 AFFINE_HULL VERTICES_IN_FACETS {1 2 3 4 5} {3 4 5 7 8} {5 6 7 8} {2 4 5 6 8} {0 1 2 3} {0 2 3 5 6 7} {0 4 6 7 8} {0 1 3 4 7} {0 1 2 4 6} VERTICES 1 3 0 0 0 1 1 1 1 1 1 0 3 0 0 1 0 0 3 0 1 0 0 0 3/2 1 -3 0 0 0 1 0 0 -3 0 1 0 -3 0 0 1 -1 -1 -1 1 HASSE_DIAGRAM 1 10 36 62 71 <({} {1 2 3 4 5 6 7 8 9}) ({0} {10 11 12 13 14 15}) ({1} {10 16 17 18}) ({2} {11 16 19 20 21 22}) ({3} {12 17 19 23 24 25}) ({4} {13 18 20 23 26 27 28 29}) ({5} {21 24 26 30 31 32}) ({6} {14 22 27 30 33 34}) ({7} {15 25 28 31 33 35}) ({8} {29 32 34 35}) ({0 1} {36 37 38}) ({0 2} {36 39 40}) ({0 3} {37 39 41}) ({0 4} {38 42 43}) ({0 6} {40 42 44}) ({0 7} {41 43 44}) ({1 2} {36 45 46}) ({1 3} {37 45 47}) ({1 4} {38 46 47}) ({2 3} {39 45 48}) ({2 4} {46 49 50}) ({2 5} {48 49 51}) ({2 6} {40 50 51}) ({3 4} {47 52 53}) ({3 5} {48 52 54}) ({3 7} {41 53 54}) ({4 5} {49 52 55}) ({4 6} {42 50 56}) ({4 7} {43 53 57}) ({4 8} {55 56 57}) ({5 6} {51 58 59}) ({5 7} {54 58 60}) ({5 8} {55 59 60}) ({6 7} {44 58 61}) ({6 8} {56 59 61}) ({7 8} {57 60 61}) ({0 1 2} {66 70}) ({0 1 3} {66 69}) ({0 1 4} {69 70}) ({0 2 3} {66 67}) ({0 2 6} {67 70}) ({0 3 7} {67 69}) ({0 4 6} {68 70}) ({0 4 7} {68 69}) ({0 6 7} {67 68}) ({1 2 3} {62 66}) ({1 2 4} {62 70}) ({1 3 4} {62 69}) ({2 3 5} {62 67}) ({2 4 5} {62 65}) ({2 4 6} {65 70}) ({2 5 6} {65 67}) ({3 4 5} {62 63}) ({3 4 7} {63 69}) ({3 5 7} {63 67}) ({4 5 8} {63 65}) ({4 6 8} {65 68}) ({4 7 8} {63 68}) ({5 6 7} {64 67}) ({5 6 8} {64 65}) ({5 7 8} {63 64}) ({6 7 8} {64 68}) ({1 2 3 4 5} {71}) ({3 4 5 7 8} {71}) ({5 6 7 8} {71}) ({2 4 5 6 8} {71}) ({0 1 2 3} {71}) ({0 2 3 5 6 7} {71}) ({0 4 6 7 8} {71}) ({0 1 3 4 7} {71}) ({0 1 2 4 6} {71}) ({0 1 2 3 4 5 6 7 8} {}) > > F_VECTOR 9 26 26 9 F2_VECTOR 9 52 78 44 52 26 78 78 78 78 26 52 44 78 52 9 SIMPLICITY 2 SIMPLICIALITY 2 FLAG_VECTOR 1 9 26 26 78 AMBIENT_DIM 4 N_FACETS 9 BOUNDED 1 GRAPH {1 2 3 4 6 7} {0 2 3 4} {0 1 3 4 5 6} {0 1 2 4 5 7} {0 1 2 3 5 6 7 8} {2 3 4 6 7 8} {0 2 4 5 7 8} {0 3 4 5 6 8} {4 5 6 7} N_VERTICES 9 DUAL_GRAPH {1 3 4 5 7 8} {0 2 3 5 6 7} {1 3 5 6} {0 1 2 5 6 8} {0 5 7 8} {0 1 2 3 4 6 7 8} {1 2 3 5 7 8} {0 1 4 5 6 8} {0 3 4 5 6 7} VERTEX_BARYCENTER 1 0 0 0 7/18 SCHLEGEL_PARAMS 5 9/10 1 0 0 0 0 1 0 0 0 7/18 SCHLEGEL_TRANSFORM 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 2/7 0 0 0 0 DIM 4 VERTEX_DEGREES 6 4 6 6 8 6 6 6 4 SIMPLICIAL 0 NEIGHBORLY 0 NEIGHBORLINESS 1 SIMPLE 0 BALANCED 0 BALANCE 1