#index_first index_last length frequency knotoid_type polynomial 0 1 2 1 k0.1 0 2 3 1 k0.1 0 3 4 1 k0.1 0 4 5 1 k0.1 0 5 6 1 k0.1 0 6 7 1 k0.1 0 7 8 1 k0.1 0 8 9 1 k0.1 0 9 10 0.97 k0.1 0 10 11 0.99 k0.1 0 11 12 0.99 k0.1 0 12 13 0.99 k0.1 0 13 14 0.98 k0.1 0 14 15 1 k0.1 0 15 16 0.99 k0.1 0 16 17 1 k0.1 0 17 18 1 k0.1 0 18 19 1 k0.1 0 19 20 1 k0.1 0 20 21 1 k0.1 0 21 22 1 k0.1 0 22 23 1 k0.1 0 23 24 1 k0.1 0 24 25 1 k0.1 0 25 26 1 k0.1 0 26 27 1 k0.1 0 27 28 0.99 k0.1 0 28 29 0.98 k0.1 0 29 30 1 k0.1 0 30 31 1 k0.1 0 31 32 1 k0.1 0 32 33 1 k0.1 0 33 34 0.99 k0.1 0 34 35 1 k0.1 0 35 36 1 k0.1 0 36 37 0.99 k0.1 0 37 38 1 k0.1 0 39 39 0.99 k0.1 0 40 40 0.98 k0.1 0 41 41 1 k0.1 0 42 42 1 k0.1 0 43 43 1 k0.1 0 44 44 1 k0.1 0 45 45 0.99 k0.1 0 46 46 0.99 k0.1 0 47 47 1 k0.1 0 48 48 1 k0.1 0 49 49 1 k0.1 0 50 50 1 k0.1 0 51 51 1 k0.1 0 52 52 1 k0.1 0 53 53 0.98 k0.1 0 54 54 0.99 k0.1 0 55 55 0.96 k0.1 0 56 56 0.99 k0.1 0 57 57 0.93 k0.1 0 58 58 0.91 k0.1 0 59 59 0.96 k0.1 0 60 60 0.94 k0.1 0 61 61 0.97 k0.1 0 62 62 0.94 k0.1 0 63 63 0.96 k0.1 0 64 64 0.94 k0.1 0 65 65 0.97 k0.1 0 66 66 0.92 k0.1 0 67 67 0.93 k0.1 0 68 68 0.86 k0.1 0 69 69 0.75 k0.1 0 70 70 0.92 k0.1 0 71 71 0.87 k0.1 0 72 72 0.9 k0.1 0 73 73 0.94 k0.1 0 74 74 0.92 k0.1 0 75 75 0.96 k0.1 0 76 76 0.94 k0.1 0 77 77 0.95 k0.1 0 78 78 0.98 k0.1 0 79 79 0.97 k0.1 0 80 80 0.97 k0.1 0 81 81 0.95 k0.1 0 82 82 0.92 k0.1 0 83 83 0.93 k0.1 0 84 84 0.97 k0.1 0 85 85 0.93 k0.1 0 86 86 0.95 k0.1 0 87 87 0.95 k0.1 0 88 88 0.94 k0.1 0 89 89 0.95 k0.1 0 90 90 0.9 k0.1 0 91 91 0.9 k0.1 0 92 92 0.95 k0.1 0 93 93 0.91 k0.1 0 94 94 0.95 k0.1 0 95 95 0.84 k0.1 0 96 96 0.92 k0.1 0 97 97 0.93 k0.1 0 98 98 0.91 k0.1 0 99 99 0.83 k0.1 0 100 100 0.89 k0.1 0 101 101 0.81 k0.1 0 102 102 0.91 k0.1 0 103 103 0.89 k0.1 0 104 104 0.87 k0.1 0 105 105 0.86 k0.1 0 106 106 0.83 k0.1 0 107 107 0.96 k0.1 0 108 108 0.95 k0.1 0 109 109 0.93 k0.1 1 2 2 1 k0.1 1 3 3 1 k0.1 1 4 4 1 k0.1 1 5 5 1 k0.1 1 6 6 1 k0.1 1 7 7 1 k0.1 1 8 8 1 k0.1 1 9 9 1 k0.1 1 10 10 1 k0.1 1 11 11 1 k0.1 1 12 12 1 k0.1 1 13 13 1 k0.1 1 14 14 1 k0.1 1 15 15 1 k0.1 1 16 16 1 k0.1 1 17 17 1 k0.1 1 18 18 1 k0.1 1 19 19 1 k0.1 1 20 20 1 k0.1 1 21 21 1 k0.1 1 22 22 1 k0.1 1 23 23 1 k0.1 1 24 24 0.99 k0.1 1 25 25 1 k0.1 1 26 26 1 k0.1 1 27 27 1 k0.1 1 28 28 0.98 k0.1 1 29 29 1 k0.1 1 30 30 0.99 k0.1 1 31 31 0.99 k0.1 1 32 32 0.99 k0.1 1 33 33 0.98 k0.1 1 34 34 0.99 k0.1 1 35 35 1 k0.1 1 36 36 1 k0.1 1 37 37 1 k0.1 1 39 38 0.99 k0.1 1 40 39 1 k0.1 1 41 40 0.99 k0.1 1 42 41 1 k0.1 1 43 42 1 k0.1 1 44 43 1 k0.1 1 45 44 0.99 k0.1 1 46 45 1 k0.1 1 47 46 1 k0.1 1 48 47 1 k0.1 1 49 48 1 k0.1 1 50 49 1 k0.1 1 51 50 1 k0.1 1 52 51 1 k0.1 1 53 52 1 k0.1 1 54 53 1 k0.1 1 55 54 0.9 k0.1 1 56 55 0.97 k0.1 1 57 56 0.89 k0.1 1 58 57 0.96 k0.1 1 59 58 0.91 k0.1 1 60 59 0.95 k0.1 1 61 60 0.94 k0.1 1 62 61 0.96 k0.1 1 63 62 0.95 k0.1 1 64 63 0.93 k0.1 1 65 64 0.99 k0.1 1 66 65 0.96 k0.1 1 67 66 0.89 k0.1 1 68 67 0.88 k0.1 1 69 68 0.85 k0.1 1 70 69 0.88 k0.1 1 71 70 0.9 k0.1 1 72 71 0.95 k0.1 1 73 72 0.87 k0.1 1 74 73 0.9 k0.1 1 75 74 0.92 k0.1 1 76 75 0.95 k0.1 1 77 76 0.94 k0.1 1 78 77 0.91 k0.1 1 79 78 0.95 k0.1 1 80 79 0.94 k0.1 1 81 80 0.98 k0.1 1 82 81 0.94 k0.1 1 83 82 0.89 k0.1 1 84 83 0.93 k0.1 1 85 84 0.95 k0.1 1 86 85 0.97 k0.1 1 87 86 0.92 k0.1 1 88 87 0.92 k0.1 1 89 88 0.81 k0.1 1 90 89 0.8 k0.1 1 91 90 0.84 k0.1 1 92 91 0.84 k0.1 1 93 92 0.95 k0.1 1 94 93 0.93 k0.1 1 95 94 0.89 k0.1 1 96 95 0.83 k0.1 1 97 96 0.87 k0.1 1 98 97 0.83 k0.1 1 99 98 0.83 k0.1 1 100 99 0.83 k0.1 1 101 100 0.78 k0.1 1 102 101 0.87 k0.1 1 103 102 0.86 k0.1 1 104 103 0.9 k0.1 1 105 104 0.94 k0.1 1 106 105 0.85 k0.1 1 107 106 0.94 k0.1 1 108 107 0.89 k0.1 1 109 108 0.92 k0.1 2 3 2 1 k0.1 2 4 3 1 k0.1 2 5 4 1 k0.1 2 6 5 1 k0.1 2 7 6 1 k0.1 2 8 7 1 k0.1 2 9 8 1 k0.1 2 10 9 1 k0.1 2 11 10 1 k0.1 2 12 11 1 k0.1 2 13 12 1 k0.1 2 14 13 1 k0.1 2 15 14 1 k0.1 2 16 15 1 k0.1 2 17 16 1 k0.1 2 18 17 1 k0.1 2 19 18 1 k0.1 2 20 19 1 k0.1 2 21 20 1 k0.1 2 22 21 1 k0.1 2 23 22 1 k0.1 2 24 23 1 k0.1 2 25 24 1 k0.1 2 26 25 1 k0.1 2 27 26 0.99 k0.1 2 28 27 0.99 k0.1 2 29 28 1 k0.1 2 30 29 0.99 k0.1 2 31 30 1 k0.1 2 32 31 0.98 k0.1 2 33 32 1 k0.1 2 34 33 0.95 k0.1 2 35 34 0.99 k0.1 2 36 35 0.99 k0.1 2 37 36 1 k0.1 2 39 37 1 k0.1 2 40 38 1 k0.1 2 41 39 0.99 k0.1 2 42 40 0.98 k0.1 2 43 41 1 k0.1 2 44 42 1 k0.1 2 45 43 0.99 k0.1 2 46 44 1 k0.1 2 47 45 1 k0.1 2 48 46 1 k0.1 2 49 47 0.99 k0.1 2 50 48 1 k0.1 2 51 49 1 k0.1 2 52 50 0.99 k0.1 2 53 51 0.99 k0.1 2 54 52 0.99 k0.1 2 55 53 0.98 k0.1 2 56 54 0.97 k0.1 2 57 55 0.95 k0.1 2 58 56 0.9 k0.1 2 59 57 0.96 k0.1 2 60 58 0.95 k0.1 2 61 59 0.95 k0.1 2 62 60 0.98 k0.1 2 63 61 0.96 k0.1 2 64 62 0.95 k0.1 2 65 63 0.94 k0.1 2 66 64 0.94 k0.1 2 67 65 0.91 k0.1 2 68 66 0.9 k0.1 2 69 67 0.84 k0.1 2 70 68 0.82 k0.1 2 71 69 0.83 k0.1 2 72 70 0.92 k0.1 2 73 71 0.88 k0.1 2 74 72 0.95 k0.1 2 75 73 0.88 k0.1 2 76 74 0.94 k0.1 2 77 75 0.93 k0.1 2 78 76 0.94 k0.1 2 79 77 0.93 k0.1 2 80 78 0.92 k0.1 2 81 79 0.9 k0.1 2 82 80 0.94 k0.1 2 83 81 0.92 k0.1 2 84 82 0.95 k0.1 2 85 83 0.95 k0.1 2 86 84 0.96 k0.1 2 87 85 0.97 k0.1 2 88 86 0.95 k0.1 2 89 87 0.9 k0.1 2 90 88 0.88 k0.1 2 91 89 0.86 k0.1 2 92 90 0.85 k0.1 2 93 91 0.85 k0.1 2 94 92 0.92 k0.1 2 95 93 0.91 k0.1 2 96 94 0.89 k0.1 2 97 95 0.89 k0.1 2 98 96 0.89 k0.1 2 99 97 0.92 k0.1 2 100 98 0.83 k0.1 2 101 99 0.79 k0.1 2 102 100 0.9 k0.1 2 103 101 0.81 k0.1 2 104 102 0.86 k0.1 2 105 103 0.95 k0.1 2 106 104 0.82 k0.1 2 107 105 0.92 k0.1 2 108 106 0.95 k0.1 2 109 107 0.94 k0.1 3 4 2 1 k0.1 3 5 3 1 k0.1 3 6 4 1 k0.1 3 7 5 1 k0.1 3 8 6 1 k0.1 3 9 7 1 k0.1 3 10 8 1 k0.1 3 11 9 1 k0.1 3 12 10 1 k0.1 3 13 11 1 k0.1 3 14 12 1 k0.1 3 15 13 1 k0.1 3 16 14 1 k0.1 3 17 15 1 k0.1 3 18 16 1 k0.1 3 19 17 1 k0.1 3 20 18 1 k0.1 3 21 19 1 k0.1 3 22 20 1 k0.1 3 23 21 1 k0.1 3 24 22 0.99 k0.1 3 25 23 1 k0.1 3 26 24 1 k0.1 3 27 25 0.99 k0.1 3 28 26 1 k0.1 3 29 27 1 k0.1 3 30 28 1 k0.1 3 31 29 1 k0.1 3 32 30 0.99 k0.1 3 33 31 1 k0.1 3 34 32 1 k0.1 3 35 33 0.99 k0.1 3 36 34 1 k0.1 3 37 35 1 k0.1 3 39 36 0.99 k0.1 3 40 37 0.99 k0.1 3 41 38 0.99 k0.1 3 42 39 0.98 k0.1 3 43 40 0.99 k0.1 3 44 41 1 k0.1 3 45 42 0.99 k0.1 3 46 43 0.99 k0.1 3 47 44 1 k0.1 3 48 45 0.99 k0.1 3 49 46 0.99 k0.1 3 50 47 1 k0.1 3 51 48 1 k0.1 3 52 49 0.99 k0.1 3 53 50 0.99 k0.1 3 54 51 0.98 k0.1 3 55 52 0.95 k0.1 3 56 53 0.92 k0.1 3 57 54 0.93 k0.1 3 58 55 0.94 k0.1 3 59 56 0.98 k0.1 3 60 57 0.96 k0.1 3 61 58 0.93 k0.1 3 62 59 0.95 k0.1 3 63 60 0.95 k0.1 3 64 61 0.94 k0.1 3 65 62 0.91 k0.1 3 66 63 0.93 k0.1 3 67 64 0.94 k0.1 3 68 65 0.93 k0.1 3 69 66 0.88 k0.1 3 70 67 0.94 k0.1 3 71 68 0.95 k0.1 3 72 69 0.91 k0.1 3 73 70 0.95 k0.1 3 74 71 0.87 k0.1 3 75 72 0.93 k0.1 3 76 73 0.91 k0.1 3 77 74 0.9 k0.1 3 78 75 0.92 k0.1 3 79 76 0.96 k0.1 3 80 77 0.93 k0.1 3 81 78 0.93 k0.1 3 82 79 0.95 k0.1 3 83 80 0.9 k0.1 3 84 81 0.92 k0.1 3 85 82 0.94 k0.1 3 86 83 0.95 k0.1 3 87 84 0.92 k0.1 3 88 85 0.9 k0.1 3 89 86 0.97 k0.1 3 90 87 0.93 k0.1 3 91 88 0.89 k0.1 3 92 89 0.88 k0.1 3 93 90 0.89 k0.1 3 94 91 0.9 k0.1 3 95 92 0.91 k0.1 3 96 93 0.92 k0.1 3 97 94 0.95 k0.1 3 98 95 0.91 k0.1 3 99 96 0.88 k0.1 3 100 97 0.91 k0.1 3 101 98 0.84 k0.1 3 102 99 0.86 k0.1 3 103 100 0.9 k0.1 3 104 101 0.95 k0.1 3 105 102 0.91 k0.1 3 106 103 0.88 k0.1 3 107 104 0.94 k0.1 3 108 105 0.91 k0.1 3 109 106 0.97 k0.1 4 5 2 1 k0.1 4 6 3 1 k0.1 4 7 4 1 k0.1 4 8 5 1 k0.1 4 9 6 1 k0.1 4 10 7 1 k0.1 4 11 8 1 k0.1 4 12 9 1 k0.1 4 13 10 1 k0.1 4 14 11 1 k0.1 4 15 12 1 k0.1 4 16 13 1 k0.1 4 17 14 1 k0.1 4 18 15 1 k0.1 4 19 16 1 k0.1 4 20 17 1 k0.1 4 21 18 1 k0.1 4 22 19 1 k0.1 4 23 20 1 k0.1 4 24 21 0.98 k0.1 4 25 22 0.98 k0.1 4 26 23 0.97 k0.1 4 27 24 0.98 k0.1 4 28 25 1 k0.1 4 29 26 0.97 k0.1 4 30 27 1 k0.1 4 31 28 1 k0.1 4 32 29 1 k0.1 4 33 30 1 k0.1 4 34 31 1 k0.1 4 35 32 1 k0.1 4 36 33 1 k0.1 4 37 34 1 k0.1 4 39 35 1 k0.1 4 40 36 1 k0.1 4 41 37 0.99 k0.1 4 42 38 1 k0.1 4 43 39 0.99 k0.1 4 44 40 0.99 k0.1 4 45 41 0.98 k0.1 4 46 42 1 k0.1 4 47 43 1 k0.1 4 48 44 0.98 k0.1 4 49 45 0.99 k0.1 4 50 46 1 k0.1 4 51 47 1 k0.1 4 52 48 0.97 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k0.1 4 108 104 0.94 k0.1 4 109 105 0.93 k0.1 5 6 2 1 k0.1 5 7 3 1 k0.1 5 8 4 1 k0.1 5 9 5 1 k0.1 5 10 6 1 k0.1 5 11 7 1 k0.1 5 12 8 1 k0.1 5 13 9 1 k0.1 5 14 10 1 k0.1 5 15 11 1 k0.1 5 16 12 1 k0.1 5 17 13 1 k0.1 5 18 14 1 k0.1 5 19 15 1 k0.1 5 20 16 1 k0.1 5 21 17 1 k0.1 5 22 18 1 k0.1 5 23 19 1 k0.1 5 24 20 1 k0.1 5 25 21 0.99 k0.1 5 26 22 0.97 k0.1 5 27 23 0.97 k0.1 5 28 24 1 k0.1 5 29 25 0.99 k0.1 5 30 26 1 k0.1 5 31 27 1 k0.1 5 32 28 0.99 k0.1 5 33 29 1 k0.1 5 34 30 0.98 k0.1 5 35 31 0.99 k0.1 5 36 32 0.98 k0.1 5 37 33 0.96 k0.1 5 39 34 1 k0.1 5 40 35 1 k0.1 5 41 36 1 k0.1 5 42 37 1 k0.1 5 43 38 1 k0.1 5 44 39 1 k0.1 5 45 40 1 k0.1 5 46 41 1 k0.1 5 47 42 1 k0.1 5 48 43 1 k0.1 5 49 44 1 k0.1 5 50 45 0.99 k0.1 5 51 46 1 k0.1 5 52 47 0.99 k0.1 5 53 48 1 k0.1 5 54 49 0.98 k0.1 5 55 50 0.97 k0.1 5 56 51 0.98 k0.1 5 57 52 0.9 k0.1 5 58 53 0.92 k0.1 5 59 54 0.94 k0.1 5 60 55 0.9 k0.1 5 61 56 0.95 k0.1 5 62 57 0.89 k0.1 5 63 58 0.99 k0.1 5 64 59 1 k0.1 5 65 60 0.96 k0.1 5 66 61 0.91 k0.1 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6 22 17 1 k0.1 6 23 18 1 k0.1 6 24 19 1 k0.1 6 25 20 1 k0.1 6 26 21 1 k0.1 6 27 22 1 k0.1 6 28 23 0.99 k0.1 6 29 24 1 k0.1 6 30 25 0.99 k0.1 6 31 26 0.99 k0.1 6 32 27 0.98 k0.1 6 33 28 1 k0.1 6 34 29 0.99 k0.1 6 35 30 1 k0.1 6 36 31 1 k0.1 6 37 32 1 k0.1 6 39 33 1 k0.1 6 40 34 0.99 k0.1 6 41 35 1 k0.1 6 42 36 1 k0.1 6 43 37 1 k0.1 6 44 38 0.99 k0.1 6 45 39 0.98 k0.1 6 46 40 1 k0.1 6 47 41 1 k0.1 6 48 42 1 k0.1 6 49 43 1 k0.1 6 50 44 0.99 k0.1 6 51 45 0.99 k0.1 6 52 46 0.98 k0.1 6 53 47 0.98 k0.1 6 54 48 0.98 k0.1 6 55 49 0.95 k0.1 6 56 50 0.93 k0.1 6 57 51 0.89 k0.1 6 58 52 0.93 k0.1 6 59 53 0.88 k0.1 6 60 54 0.97 k0.1 6 61 55 0.93 k0.1 6 62 56 0.94 k0.1 6 63 57 0.93 k0.1 6 64 58 0.88 k0.1 6 65 59 0.91 k0.1 6 66 60 0.93 k0.1 6 67 61 0.9 k0.1 6 68 62 0.84 k0.1 6 69 63 0.87 k0.1 6 70 64 0.92 k0.1 6 71 65 0.93 k0.1 6 72 66 0.89 k0.1 6 73 67 0.92 k0.1 6 74 68 0.83 k0.1 6 75 69 0.95 k0.1 6 76 70 0.91 k0.1 6 77 71 0.86 k0.1 6 78 72 0.86 k0.1 6 79 73 0.87 k0.1 6 80 74 0.89 k0.1 6 81 75 0.88 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