#index_first index_last length frequency knotoid_type polynomial 0 1 2 1 k0.1 + 1 1 2 2 1 k0.1 + 1 2 3 2 1 k0.1 + 1 3 4 2 1 k0.1 + 1 4 5 2 1 k0.1 + 1 5 6 2 1 k0.1 + 1 6 7 2 1 k0.1 + 1 7 8 2 1 k0.1 + 1 8 9 2 1 k0.1 + 1 9 10 2 1 k0.1 + 1 10 11 2 1 k0.1 + 1 11 12 2 1 k0.1 + 1 12 13 2 1 k0.1 + 1 13 14 2 1 k0.1 + 1 14 15 2 1 k0.1 + 1 15 16 2 1 k0.1 + 1 16 17 2 1 k0.1 + 1 17 18 2 1 k0.1 + 1 18 19 2 1 k0.1 + 1 19 20 2 1 k0.1 + 1 20 21 2 1 k0.1 + 1 21 22 2 1 k0.1 + 1 22 23 2 1 k0.1 + 1 23 24 2 1 k0.1 + 1 24 25 2 1 k0.1 + 1 25 26 2 1 k0.1 + 1 26 27 2 1 k0.1 + 1 27 28 2 1 k0.1 + 1 28 29 2 1 k0.1 + 1 29 30 2 1 k0.1 + 1 30 31 2 1 k0.1 + 1 31 32 2 1 k0.1 + 1 32 33 2 1 k0.1 + 1 33 34 2 1 k0.1 + 1 34 35 2 1 k0.1 + 1 35 36 2 1 k0.1 + 1 36 37 2 1 k0.1 + 1 37 38 2 1 k0.1 + 1 38 39 2 1 k0.1 + 1 39 40 2 1 k0.1 + 1 40 41 2 1 k0.1 + 1 41 42 2 1 k0.1 + 1 42 43 2 1 k0.1 + 1 43 44 2 1 k0.1 + 1 44 45 2 1 k0.1 + 1 45 46 2 1 k0.1 + 1 46 47 2 1 k0.1 + 1 47 48 2 1 k0.1 + 1 48 49 2 1 k0.1 + 1 49 50 2 1 k0.1 + 1 50 51 2 1 k0.1 + 1 51 52 2 1 k0.1 + 1 52 53 2 1 k0.1 + 1 53 54 2 1 k0.1 + 1 54 55 2 1 k0.1 + 1 55 56 2 1 k0.1 + 1 56 57 2 1 k0.1 + 1 57 58 2 1 k0.1 + 1 58 59 2 1 k0.1 + 1 59 60 2 1 k0.1 + 1 60 61 2 1 k0.1 + 1 61 62 2 1 k0.1 + 1 62 63 2 1 k0.1 + 1 63 64 2 1 k0.1 + 1 64 65 2 1 k0.1 + 1 65 66 2 1 k0.1 + 1 66 67 2 1 k0.1 + 1 67 68 2 1 k0.1 + 1 68 69 2 1 k0.1 + 1 69 70 2 1 k0.1 + 1 70 71 2 1 k0.1 + 1 71 72 2 1 k0.1 + 1 72 73 2 1 k0.1 + 1 73 74 2 1 k0.1 + 1 74 75 2 1 k0.1 + 1 75 76 2 1 k0.1 + 1 76 77 2 1 k0.1 + 1 77 78 2 1 k0.1 + 1 78 79 2 1 k0.1 + 1 79 80 2 1 k0.1 + 1 80 81 2 1 k0.1 + 1 81 82 2 1 k0.1 + 1 82 83 2 1 k0.1 + 1 83 84 2 1 k0.1 + 1 84 85 2 1 k0.1 + 1 85 86 2 1 k0.1 + 1 86 87 2 1 k0.1 + 1 87 88 2 1 k0.1 + 1 88 89 2 1 k0.1 + 1 89 90 2 1 k0.1 + 1 90 91 2 1 k0.1 + 1 91 92 2 1 k0.1 + 1 92 93 2 1 k0.1 + 1 93 94 2 1 k0.1 + 1 94 95 2 1 k0.1 + 1 95 96 2 1 k0.1 + 1 96 97 2 1 k0.1 + 1 97 98 2 1 k0.1 + 1 98 99 2 1 k0.1 + 1 99 100 2 1 k0.1 + 1 100 101 2 1 k0.1 + 1 101 102 2 1 k0.1 + 1 102 103 2 1 k0.1 + 1 103 104 2 1 k0.1 + 1 104 105 2 1 k0.1 + 1 105 106 2 1 k0.1 + 1 106 107 2 1 k0.1 + 1 107 108 2 1 k0.1 + 1 108 109 2 1 k0.1 + 1 109 110 2 1 k0.1 + 1 110 111 2 1 k0.1 + 1 111 112 2 1 k0.1 + 1 112 113 2 1 k0.1 + 1 113 114 2 1 k0.1 + 1 114 115 2 1 k0.1 + 1 115 116 2 1 k0.1 + 1 116 117 2 1 k0.1 + 1 117 118 2 1 k0.1 + 1 118 119 2 1 k0.1 + 1 119 120 2 1 k0.1 + 1 120 121 2 1 k0.1 + 1 121 122 2 1 k0.1 + 1 122 123 2 1 k0.1 + 1 123 124 2 1 k0.1 + 1 124 125 2 1 k0.1 + 1 125 126 2 1 k0.1 + 1 126 127 2 1 k0.1 + 1 127 128 2 1 k0.1 + 1 128 129 2 1 k0.1 + 1 129 130 2 1 k0.1 + 1 130 131 2 1 k0.1 + 1 131 132 2 1 k0.1 + 1 132 133 2 1 k0.1 + 1 133 134 2 1 k0.1 + 1 134 135 2 1 k0.1 + 1 135 136 2 1 k0.1 + 1 136 137 2 1 k0.1 + 1 137 138 2 1 k0.1 + 1 138 139 2 1 k0.1 + 1 139 140 2 1 k0.1 + 1 140 141 2 1 k0.1 + 1 141 142 2 1 k0.1 + 1 142 143 2 1 k0.1 + 1 143 144 2 1 k0.1 + 1 144 145 2 1 k0.1 + 1 145 146 2 1 k0.1 + 1 146 147 2 1 k0.1 + 1 147 148 2 1 k0.1 + 1 148 149 2 1 k0.1 + 1 149 150 2 1 k0.1 + 1 150 151 2 1 k0.1 + 1 151 152 2 1 k0.1 + 1 152 153 2 1 k0.1 + 1 153 154 2 1 k0.1 + 1 154 155 2 1 k0.1 + 1 155 156 2 1 k0.1 + 1 156 157 2 1 k0.1 + 1 157 158 2 1 k0.1 + 1