_application polytope _version 2.1.0 _type RationalPolytope FACETS 314/29 62/29 62/29 -12/29 -1 6 4/3 10/9 2/9 -1 4 1/4 1 3/4 -1 2 0 0 0 1 4 9/10 4/5 3/10 -1 2 1 1 -1 -2 4 1 0 1 -1 6 0 1 1 0 2 -1 1 1 -2 2 1 -1 -1 -2 2 1 -1 1 -2 6 -1 -1 -1 0 2 -1 1 -1 -2 2 -1 -1 1 -2 VERTICES 1 6 0 0 -2 1 0 6 0 -2 1 0 0 6 -2 1 0 0 0 1 1 -6 0 0 -2 1 0 -6 0 -2 1 0 0 -6 -2 1 -2 -2 -2 0 1 2 2 2 0 1 -3 -3 -3 -2 1 -4/3 -2 -4 -4/3 1 -31/15 -58/15 -19/15 -4/3 1 -37/10 -8/5 -13/10 -1 1 -117/50 -201/50 -93/50 -2 BOUNDED 1 AFFINE_HULL CENTERED 1 AMBIENT_DIM 4 DIM 4 VERTICES_IN_FACETS {4 5 11 13} {4 9 11 12 13} {5 7 9 10 11 13} {0 1 2 4 5 6 9 13} {7 9 11 12} {2 3 4 5 7 11 12} {4 6 7 9 10 12} {5 6 9 10} {0 3 5 6 7 10} {1 2 3 4 8} {1 3 4 6 7} {0 1 2 8} {0 2 3 5 8} {0 1 3 6 8} GRAPH {1 2 3 5 6 8} {0 2 3 4 6 8} {0 1 3 4 5 8} {0 1 2 4 5 6 7 8} {1 2 3 5 6 7 9 11 12 13} {0 2 3 4 6 7 9 10 11 13} {0 1 3 4 5 7 9 10} {3 4 5 6 9 10 11 12} {0 1 2 3} {4 5 6 7 10 11 12 13} {5 6 7 9} {4 5 7 9 12 13} {4 7 9 11} {4 5 9 11} DUAL_GRAPH {1 2 3 5} {0 2 3 4 5 6} {0 1 3 4 5 6 7 8} {0 1 2 5 6 7 8 9 10 11 12 13} {1 2 5 6} {0 1 2 3 4 6 8 9 10 12} {1 2 3 4 5 7 8 10} {2 3 6 8} {2 3 5 6 7 10 12 13} {3 5 10 11 12 13} {3 5 6 8 9 13} {3 9 12 13} {3 5 8 9 11 13} {3 8 9 10 11 12} VERTEX_DEGREES 6 6 6 8 10 10 8 8 4 8 4 6 4 4 HASSE_DIAGRAM 1 15 61 107 121 <({} {1 2 3 4 5 6 7 8 9 10 11 12 13 14}) ({0} {15 16 17 18 19 20}) ({1} {15 21 22 23 24 25}) ({2} {16 21 26 27 28 29}) ({3} {17 22 26 30 31 32 33 34}) ({4} {23 27 30 35 36 37 38 39 40 41}) ({5} {18 28 31 35 42 43 44 45 46 47}) ({6} {19 24 32 36 42 48 49 50}) ({7} {33 37 43 48 51 52 53 54}) ({8} {20 25 29 34}) ({9} {38 44 49 51 55 56 57 58}) ({10} {45 50 52 55}) ({11} {39 46 53 56 59 60}) ({12} {40 54 57 59}) ({13} {41 47 58 60}) ({0 1} {61 62 63}) ({0 2} {61 64 65}) ({0 3} {66 67 68}) ({0 5} {64 66 69}) ({0 6} {62 67 69}) ({0 8} {63 65 68}) ({1 2} {61 70 71}) ({1 3} {72 73 74}) ({1 4} {70 72 75}) ({1 6} {62 73 75}) ({1 8} {63 71 74}) ({2 3} {76 77 78}) ({2 4} {70 76 79}) ({2 5} {64 77 79}) ({2 8} {65 71 78}) ({3 4} {72 76 80}) ({3 5} {66 77 81}) ({3 6} {67 73 82}) ({3 7} {80 81 82}) ({3 8} {68 74 78}) ({4 5} {79 83 84}) ({4 6} {75 85 86}) ({4 7} {80 85 87}) ({4 9} {86 88 89}) ({4 11} {83 90 91}) ({4 12} {87 88 90}) ({4 13} {84 89 91}) ({5 6} {69 92 93}) ({5 7} {81 94 95}) ({5 9} {92 96 97}) ({5 10} {93 94 96}) ({5 11} {83 95 98}) ({5 13} {84 97 98}) ({6 7} {82 85 99}) ({6 9} {86 92 100}) ({6 10} {93 99 100}) ({7 9} {101 102 103}) ({7 10} {94 99 101}) ({7 11} {95 102 104}) ({7 12} {87 103 104}) ({9 10} {96 100 101}) ({9 11} {102 105 106}) ({9 12} {88 103 105}) ({9 13} {89 97 106}) ({11 12} {90 104 105}) ({11 13} {91 98 106}) ({0 1 2} {110 118}) ({0 1 6} {110 120}) ({0 1 8} {118 120}) ({0 2 5} {110 119}) ({0 2 8} {118 119}) ({0 3 5} {115 119}) ({0 3 6} {115 120}) ({0 3 8} {119 120}) ({0 5 6} {110 115}) ({1 2 4} {110 116}) ({1 2 8} {116 118}) ({1 3 4} {116 117}) ({1 3 6} {117 120}) ({1 3 8} {116 120}) ({1 4 6} {110 117}) ({2 3 4} {112 116}) ({2 3 5} {112 119}) ({2 3 8} {116 119}) ({2 4 5} {110 112}) ({3 4 7} {112 117}) ({3 5 7} {112 115}) ({3 6 7} {115 117}) ({4 5 11} {107 112}) ({4 5 13} {107 110}) ({4 6 7} {113 117}) ({4 6 9} {110 113}) ({4 7 12} {112 113}) ({4 9 12} {108 113}) ({4 9 13} {108 110}) ({4 11 12} {108 112}) ({4 11 13} {107 108}) ({5 6 9} {110 114}) ({5 6 10} {114 115}) ({5 7 10} {109 115}) ({5 7 11} {109 112}) ({5 9 10} {109 114}) ({5 9 13} {109 110}) ({5 11 13} {107 109}) ({6 7 10} {113 115}) ({6 9 10} {113 114}) ({7 9 10} {109 113}) ({7 9 11} {109 111}) ({7 9 12} {111 113}) ({7 11 12} {111 112}) ({9 11 12} {108 111}) ({9 11 13} {108 109}) ({4 5 11 13} {121}) ({4 9 11 12 13} {121}) ({5 7 9 10 11 13} {121}) ({0 1 2 4 5 6 9 13} {121}) ({7 9 11 12} {121}) ({2 3 4 5 7 11 12} {121}) ({4 6 7 9 10 12} {121}) ({5 6 9 10} {121}) ({0 3 5 6 7 10} {121}) ({1 2 3 4 8} {121}) ({1 3 4 6 7} {121}) ({0 1 2 8} {121}) ({0 2 3 5 8} {121}) ({0 1 3 6 8} {121}) ({0 1 2 3 4 5 6 7 8 9 10 11 12 13} {}) > F_VECTOR 14 46 46 14 F2_VECTOR 14 92 138 74 92 46 138 138 138 138 46 92 74 138 92 14 SIMPLICIAL 0 NEIGHBORLY 0 SIMPLICIALITY 2 NEIGHBORLINESS 1 SIMPLE 0 BALANCED 0 SIMPLICITY 2 BALANCE 1 N_FACETS 14 N_VERTICES 14 VERTEX_BARYCENTER 1 -311/350 -2173/2100 -857/1050 -4/3 ALTSHULER_DET 0