#index_first index_last length frequency knotoid_type polynomial 0 108 109 0.96 k0.1 + 1 0 107 108 0.94 k0.1 + 1 0 106 107 0.96 k0.1 + 1 0 105 106 0.92 k0.1 + 1 0 104 105 0.9 k0.1 + 1 0 103 104 0.88 k0.1 + 1 0 102 103 0.9 k0.1 + 1 0 101 102 0.88 k0.1 + 1 0 100 101 0.84 k0.1 + 1 0 99 100 0.96 k0.1 + 1 0 98 99 0.91 k0.1 + 1 0 97 98 0.87 k0.1 + 1 0 96 97 0.94 k0.1 + 1 0 95 96 0.91 k0.1 + 1 0 94 95 0.83 k0.1 + 1 0 93 94 0.93 k0.1 + 1 0 92 93 0.91 k0.1 + 1 0 91 92 0.9 k0.1 + 1 0 90 91 0.85 k0.1 + 1 0 89 90 0.87 k0.1 + 1 0 88 89 0.87 k0.1 + 1 0 87 88 0.89 k0.1 + 1 0 86 87 0.95 k0.1 + 1 0 85 86 0.95 k0.1 + 1 0 84 85 0.96 k0.1 + 1 0 83 84 0.98 k0.1 + 1 0 82 83 0.95 k0.1 + 1 0 81 82 0.92 k0.1 + 1 0 80 81 0.94 k0.1 + 1 0 79 80 0.94 k0.1 + 1 0 78 79 0.98 k0.1 + 1 0 77 78 0.97 k0.1 + 1 0 76 77 0.99 k0.1 + 1 0 75 76 0.88 k0.1 + 1 0 74 75 0.97 k0.1 + 1 0 73 74 0.88 k0.1 + 1 0 72 73 0.96 k0.1 + 1 0 71 72 0.95 k0.1 + 1 0 70 71 0.88 k0.1 + 1 0 69 70 0.85 k0.1 + 1 0 68 69 0.86 k0.1 + 1 0 67 68 0.83 k0.1 + 1 0 66 67 0.89 k0.1 + 1 0 65 66 0.94 k0.1 + 1 0 64 65 0.97 k0.1 + 1 0 63 64 0.96 k0.1 + 1 0 62 63 0.94 k0.1 + 1 0 61 62 0.95 k0.1 + 1 0 60 61 0.97 k0.1 + 1 0 59 60 0.9 k0.1 + 1 0 58 59 0.94 k0.1 + 1 0 57 58 0.98 k0.1 + 1 0 56 57 0.95 k0.1 + 1 0 55 56 0.98 k0.1 + 1 0 54 55 0.98 k0.1 + 1 0 53 54 1 k0.1 + 1 0 52 53 0.97 k0.1 + 1 0 51 52 1 k0.1 + 1 0 50 51 1 k0.1 + 1 0 49 50 0.99 k0.1 + 1 0 48 49 1 k0.1 + 1 0 47 48 1 k0.1 + 1 0 46 47 1 k0.1 + 1 0 45 46 1 k0.1 + 1 0 44 45 1 k0.1 + 1 0 43 44 0.98 k0.1 + 1 0 42 43 1 k0.1 + 1 0 41 42 1 k0.1 + 1 0 40 41 0.99 k0.1 + 1 0 39 40 0.98 k0.1 + 1 0 38 39 1 k0.1 + 1 0 37 38 1 k0.1 + 1 0 36 37 1 k0.1 + 1 0 35 36 1 k0.1 + 1 0 34 35 1 k0.1 + 1 0 33 34 0.99 k0.1 + 1 0 32 33 1 k0.1 + 1 0 31 32 1 k0.1 + 1 0 30 31 0.98 k0.1 + 1 0 29 30 1 k0.1 + 1 0 28 29 0.99 k0.1 + 1 0 27 28 1 k0.1 + 1 0 26 27 1 k0.1 + 1 0 25 26 1 k0.1 + 1 0 24 25 0.99 k0.1 + 1 0 23 24 1 k0.1 + 1 0 22 23 1 k0.1 + 1 0 21 22 1 k0.1 + 1 0 20 21 1 k0.1 + 1 0 19 20 1 k0.1 + 1 0 18 19 1 k0.1 + 1 0 17 18 1 k0.1 + 1 0 16 17 1 k0.1 + 1 0 15 16 1 k0.1 + 1 0 14 15 0.99 k0.1 + 1 0 13 14 0.98 k0.1 + 1 0 12 13 1 k0.1 + 1 0 11 12 0.99 k0.1 + 1 0 10 11 0.98 k0.1 + 1 0 9 10 0.99 k0.1 + 1 0 8 9 1 k0.1 + 1 0 7 8 1 k0.1 + 1 0 6 7 1 k0.1 + 1 0 5 6 1 k0.1 + 1 0 4 5 1 k0.1 + 1 0 3 4 1 k0.1 + 1 0 2 3 1 k0.1 + 1 0 1 2 1 k0.1 + 1 0 2 3 1 k0.1 + 1 1 2 2 1 k0.1 + 1 1 3 3 1 k0.1 + 1 2 3 2 1 k0.1 + 1 2 4 3 1 k0.1 + 1 3 4 2 1 k0.1 + 1 3 5 3 1 k0.1 + 1 4 5 2 1 k0.1 + 1 4 6 3 1 k0.1 + 1 5 6 2 1 k0.1 + 1 5 7 3 1 k0.1 + 1 6 7 2 1 k0.1 + 1 6 8 3 1 k0.1 + 1 7 8 2 1 k0.1 + 1 7 9 3 1 k0.1 + 1 8 9 2 1 k0.1 + 1 8 10 3 1 k0.1 + 1 9 10 2 1 k0.1 + 1 9 11 3 1 k0.1 + 1 10 11 2 1 k0.1 + 1 10 12 3 1 k0.1 + 1 11 12 2 1 k0.1 + 1 11 13 3 1 k0.1 + 1 12 13 2 1 k0.1 + 1 12 14 3 1 k0.1 + 1 13 14 2 1 k0.1 + 1 13 15 3 1 k0.1 + 1 14 15 2 1 k0.1 + 1 14 16 3 1 k0.1 + 1 15 16 2 1 k0.1 + 1 15 17 3 1 k0.1 + 1 16 17 2 1 k0.1 + 1 16 18 3 1 k0.1 + 1 17 18 2 1 k0.1 + 1 17 19 3 1 k0.1 + 1 18 19 2 1 k0.1 + 1 18 20 3 1 k0.1 + 1 19 20 2 1 k0.1 + 1 19 21 3 1 k0.1 + 1 20 21 2 1 k0.1 + 1 20 22 3 1 k0.1 + 1 21 22 2 1 k0.1 + 1 21 23 3 1 k0.1 + 1 22 23 2 1 k0.1 + 1 22 24 3 1 k0.1 + 1 23 24 2 1 k0.1 + 1 23 25 3 1 k0.1 + 1 24 25 2 1 k0.1 + 1 24 26 3 1 k0.1 + 1 25 26 2 1 k0.1 + 1 25 27 3 1 k0.1 + 1 26 27 2 1 k0.1 + 1 26 28 3 1 k0.1 + 1 27 28 2 1 k0.1 + 1 27 29 3 1 k0.1 + 1 28 29 2 1 k0.1 + 1 28 30 3 1 k0.1 + 1 29 30 2 1 k0.1 + 1 29 31 3 1 k0.1 + 1 30 31 2 1 k0.1 + 1 30 32 3 1 k0.1 + 1 31 32 2 1 k0.1 + 1 31 33 3 1 k0.1 + 1 32 33 2 1 k0.1 + 1 32 34 3 1 k0.1 + 1 33 34 2 1 k0.1 + 1 33 35 3 1 k0.1 + 1 34 35 2 1 k0.1 + 1 34 36 3 1 k0.1 + 1 35 36 2 1 k0.1 + 1 35 37 3 1 k0.1 + 1 36 37 2 1 k0.1 + 1 36 38 3 1 k0.1 + 1 37 38 2 1 k0.1 + 1 37 39 3 1 k0.1 + 1 38 39 2 1 k0.1 + 1 38 40 3 1 k0.1 + 1 39 40 2 1 k0.1 + 1 39 41 3 1 k0.1 + 1 40 41 2 1 k0.1 + 1 40 42 3 1 k0.1 + 1 41 42 2 1 k0.1 + 1 41 43 3 1 k0.1 + 1 42 43 2 1 k0.1 + 1 42 44 3 1 k0.1 + 1 43 44 2 1 k0.1 + 1 43 45 3 1 k0.1 + 1 44 45 2 1 k0.1 + 1 44 46 3 1 k0.1 + 1 45 46 2 1 k0.1 + 1 45 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1 k0.1 + 1 98 100 3 1 k0.1 + 1 99 100 2 1 k0.1 + 1 99 101 3 1 k0.1 + 1 100 101 2 1 k0.1 + 1 100 102 3 1 k0.1 + 1 101 102 2 1 k0.1 + 1 101 103 3 1 k0.1 + 1 102 103 2 1 k0.1 + 1 102 104 3 1 k0.1 + 1 103 104 2 1 k0.1 + 1 103 105 3 1 k0.1 + 1 104 105 2 1 k0.1 + 1 104 106 3 1 k0.1 + 1 105 106 2 1 k0.1 + 1 105 107 3 1 k0.1 + 1 106 107 2 1 k0.1 + 1 106 108 3 1 k0.1 + 1 107 108 2 1 k0.1 + 1