Polytope ID Num Vertices Num Parent Num Children Simplicial Minimal Maximal Vertex List Parent List (if any) Child List (if any) --- 1 4 0 1 1 1 0 1 0 1 -2 0 1 -3 2 0 0 5 -5 10 --- 2 4 0 4 1 1 0 1 0 1 -1 0 1 -2 1 0 0 7 -5 11 12 14 18 --- 3 4 0 4 1 1 0 1 0 -2 1 0 1 2 -2 0 0 7 -5 13 15 16 17 --- 4 4 0 5 1 1 0 1 0 0 -1 0 1 0 -1 0 0 1 -1 25 36 37 40 44 --- 5 4 0 8 1 1 0 1 0 1 -1 0 1 -2 1 0 0 5 -4 16 17 18 22 23 25 26 27 --- 6 4 0 9 1 1 0 1 0 -2 1 0 1 1 -1 0 0 5 -3 10 15 20 21 22 28 29 31 34 --- 7 4 0 11 1 1 0 1 0 1 -1 0 1 1 -1 0 0 2 -1 11 26 28 29 33 35 41 42 44 45 46 --- 8 4 0 15 1 1 0 1 0 1 -1 0 1 -2 1 0 0 3 -2 12 13 14 19 20 21 27 30 31 38 39 40 41 42 43 --- 9 5 0 1 1 1 0 1 0 1 -1 -1 0 1 2 -1 -2 0 0 3 0 -3 81 --- 10 5 2 2 1 0 0 1 0 1 -2 -1 0 1 -3 2 1 0 0 5 -5 -2 1 6 48 49 --- 11 5 2 3 1 0 0 1 0 1 -1 -5 0 1 1 -1 -6 0 0 2 -1 -7 2 7 50 52 53 --- 12 5 2 3 1 0 0 1 0 1 -1 -3 0 1 -2 1 3 0 0 3 -2 -7 2 8 52 57 58 --- 13 5 2 3 1 0 0 1 0 1 -1 -3 0 1 -2 1 1 0 0 3 -2 -5 3 8 51 54 56 --- 14 5 2 3 1 0 0 1 0 1 -1 2 0 1 -2 1 -6 0 0 3 -2 7 2 8 53 55 57 --- 15 5 2 3 1 0 0 1 0 -2 1 2 0 1 1 -1 -2 0 0 5 -3 -7 3 6 56 59 60 --- 16 5 2 3 1 0 0 1 0 1 -1 -2 0 1 -2 1 2 0 0 5 -4 -7 3 5 54 60 61 --- 17 5 2 3 1 0 0 1 0 1 -1 1 0 1 -2 1 -3 0 0 5 -4 7 3 5 51 59 61 --- 18 5 2 3 1 0 0 1 0 1 -1 0 0 1 -2 1 1 0 0 5 -4 1 2 5 50 55 58 --- 19 5 1 4 0 0 0 1 0 1 -1 0 0 1 -2 1 -2 0 0 3 -2 1 8 64 66 67 83 --- 20 5 2 5 1 0 0 1 0 1 -1 -1 0 1 -2 1 -1 0 0 3 -2 -1 6 8 72 74 79 82 84 --- 21 5 2 5 1 0 0 1 0 1 -1 2 0 1 -2 1 -4 0 0 3 -2 5 6 8 72 76 78 80 85 --- 22 5 2 5 1 0 0 1 0 -2 1 1 0 1 1 -1 -1 0 0 5 -3 -4 5 6 60 63 65 73 87 --- 23 5 1 5 1 0 0 1 0 1 -1 0 0 1 -2 1 1 0 0 5 -4 -1 5 61 69 75 86 87 --- 24 5 0 6 1 1 0 1 0 0 -1 0 0 1 0 -1 0 0 0 1 0 -1 107 114 123 138 139 141 --- 25 5 2 6 1 0 0 1 0 0 -1 -3 0 1 0 -1 -4 0 0 1 -1 -5 4 5 50 51 63 69 70 88 --- 26 5 2 6 1 0 0 1 0 1 -1 2 0 1 1 -1 1 0 0 2 -1 5 5 7 54 55 70 73 75 77 --- 27 5 2 6 1 0 0 1 0 1 -1 -2 0 1 -2 1 2 0 0 3 -2 -5 5 8 58 59 65 77 86 88 --- 28 5 2 7 1 0 0 1 0 1 -1 -3 0 1 1 -1 -4 0 0 2 -1 -5 6 7 49 63 74 78 90 96 97 --- 29 5 2 7 1 0 0 1 0 1 -1 3 0 1 1 -1 2 0 0 2 -1 5 6 7 49 65 76 79 91 97 98 --- 30 5 1 7 1 0 0 1 0 1 -1 -2 0 1 -2 1 2 0 0 3 -2 -3 8 81 86 87 93 102 104 107 --- 31 5 2 7 1 0 0 1 0 1 -1 0 0 1 -2 1 1 0 0 3 -2 1 6 8 59 80 84 87 90 91 103 --- 32 5 0 8 0 1 0 1 0 1 -1 0 0 1 1 -1 0 0 0 1 0 -1 67 92 99 104 105 121 125 138 --- 33 5 1 8 0 0 0 1 0 1 -1 0 0 1 1 -1 -1 0 0 2 -1 1 7 66 79 89 95 99 100 106 119 --- 34 5 1 8 1 0 0 1 0 -2 1 -1 0 1 1 -1 1 0 0 5 -3 3 6 48 56 73 82 85 96 98 103 --- 35 5 1 9 1 0 0 1 0 1 -1 1 0 1 1 -1 1 0 0 2 -1 1 7 52 97 98 119 120 129 134 135 136 --- 36 5 1 10 1 0 0 1 0 0 -1 -1 0 1 0 -1 0 0 0 1 -1 0 4 88 108 115 124 131 132 133 136 139 140 --- 37 5 1 10 1 0 0 1 0 0 -1 -1 0 1 0 -1 -1 0 0 1 -1 0 4 68 69 93 116 117 125 126 131 137 139 --- 38 5 1 11 1 0 0 1 0 1 -1 -1 0 1 -2 1 0 0 0 3 -2 0 8 71 81 82 83 84 106 108 111 112 113 114 --- 39 5 1 11 1 0 0 1 0 1 -1 0 0 1 -2 1 1 0 0 3 -2 -1 8 57 67 74 76 77 104 114 116 120 122 130 --- 40 5 2 12 1 0 0 1 0 0 -1 -1 0 1 0 -1 -2 0 0 1 -1 -3 4 8 51 71 72 89 90 93 108 109 115 116 126 133 --- 41 5 2 12 1 0 0 1 0 1 -1 -2 0 1 1 -1 -2 0 0 2 -1 -3 7 8 53 54 64 65 78 79 102 111 118 120 126 127 --- 42 5 2 13 1 0 0 1 0 1 -1 2 0 1 1 -1 1 0 0 2 -1 3 7 8 55 66 80 91 101 102 106 109 112 115 127 129 130 --- 43 5 1 13 1 0 0 1 0 1 -1 1 0 1 -2 1 -1 0 0 3 -2 2 8 52 56 83 84 85 88 103 107 113 118 122 129 133 --- 44 5 2 14 1 0 0 1 0 0 -1 -1 0 1 0 -1 -1 0 0 1 -1 -2 4 7 50 63 70 89 90 94 95 109 117 127 132 136 137 140 --- 45 5 1 15 1 0 0 1 0 1 -1 -1 0 1 1 -1 0 0 0 2 -1 0 7 73 94 96 97 106 110 111 112 115 118 119 128 134 140 141 --- 46 5 1 15 1 0 0 1 0 1 -1 0 0 1 1 -1 1 0 0 2 -1 1 7 74 75 76 77 99 100 101 121 126 128 130 132 135 137 141 --- 47 6 0 1 1 1 0 1 0 1 -1 0 -1 0 1 1 0 -1 -1 0 0 2 0 0 -2 176 --- 48 6 2 1 1 0 0 1 0 1 -2 -1 1 0 1 -3 2 1 -1 0 0 5 -5 -2 2 10 34 146 --- 49 6 3 1 1 0 0 1 0 1 -2 -1 0 0 1 -3 2 1 -1 0 0 5 -5 -2 1 10 28 29 146 --- 50 6 4 2 1 0 0 1 0 0 -1 -1 -1 0 1 0 -1 -1 -2 0 0 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