Notice. The Knot Atlas is now recovering from a major crash. Hopefully all functionality will return slowly over the next few days. --Drorbn (talk) 21:23, 4 July 2013 (EDT)

The Rolfsen Knot Table

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Click a knot to learn more about it!


Contents

Knots with 7 or fewer crossings

0 1.gif

0_1

3 1.gif

3_1

4 1.gif

4_1

5 1.gif

5_1

5 2.gif

5_2

6 1.gif

6_1

6 2.gif

6_2

6 3.gif

6_3

7 1.gif

7_1

7 2.gif

7_2

7 3.gif

7_3

7 4.gif

7_4

7 5.gif

7_5

7 6.gif

7_6

7 7.gif

7_7

Knots with 8 crossings

8 1.gif

8_1

8 2.gif

8_2

8 3.gif

8_3

8 4.gif

8_4

8 5.gif

8_5

8 6.gif

8_6

8 7.gif

8_7

8 8.gif

8_8

8 9.gif

8_9

8 10.gif

8_10

8 11.gif

8_11

8 12.gif

8_12

8 13.gif

8_13

8 14.gif

8_14

8 15.gif

8_15

8 16.gif

8_16

8 17.gif

8_17

8 18.gif

8_18

8 19.gif

8_19

8 20.gif

8_20

8 21.gif

8_21

Knots with 9 crossings

9 1.gif

9_1

9 2.gif

9_2

9 3.gif

9_3

9 4.gif

9_4

9 5.gif

9_5

9 6.gif

9_6

9 7.gif

9_7

9 8.gif

9_8

9 9.gif

9_9

9 10.gif

9_10

9 11.gif

9_11

9 12.gif

9_12

9 13.gif

9_13

9 14.gif

9_14

9 15.gif

9_15

9 16.gif

9_16

9 17.gif

9_17

9 18.gif

9_18

9 19.gif

9_19

9 20.gif

9_20

9 21.gif

9_21

9 22.gif

9_22

9 23.gif

9_23

9 24.gif

9_24

9 25.gif

9_25

9 26.gif

9_26

9 27.gif

9_27

9 28.gif

9_28

9 29.gif

9_29

9 30.gif

9_30

9 31.gif

9_31

9 32.gif

9_32

9 33.gif

9_33

9 34.gif

9_34

9 35.gif

9_35

9 36.gif

9_36

9 37.gif

9_37

9 38.gif

9_38

9 39.gif

9_39

9 40.gif

9_40

9 41.gif

9_41

9 42.gif

9_42

9 43.gif

9_43

9 44.gif

9_44

9 45.gif

9_45

9 46.gif

9_46

9 47.gif

9_47

9 48.gif

9_48

9 49.gif

9_49

Knots with 10 crossings

10 1.gif

10_1

10 2.gif

10_2

10 3.gif

10_3

10 4.gif

10_4

10 5.gif

10_5

10 6.gif

10_6

10 7.gif

10_7

10 8.gif

10_8

10 9.gif

10_9

10 10.gif

10_10

10 11.gif

10_11

10 12.gif

10_12

10 13.gif

10_13

10 14.gif

10_14

10 15.gif

10_15

10 16.gif

10_16

10 17.gif

10_17

10 18.gif

10_18

10 19.gif

10_19

10 20.gif

10_20

10 21.gif

10_21

10 22.gif

10_22

10 23.gif

10_23

10 24.gif

10_24

10 25.gif

10_25

10 26.gif

10_26

10 27.gif

10_27

10 28.gif

10_28

10 29.gif

10_29

10 30.gif

10_30

10 31.gif

10_31

10 32.gif

10_32

10 33.gif

10_33

10 34.gif

10_34

10 35.gif

10_35

10 36.gif

10_36

10 37.gif

10_37

10 38.gif

10_38

10 39.gif

10_39

10 40.gif

10_40

10 41.gif

10_41

10 42.gif

10_42

10 43.gif

10_43

10 44.gif

10_44

10 45.gif

10_45

10 46.gif

10_46

10 47.gif

10_47

10 48.gif

10_48

10 49.gif

10_49

10 50.gif

10_50

10 51.gif

10_51

10 52.gif

10_52

10 53.gif

10_53

10 54.gif

10_54

10 55.gif

10_55

10 56.gif

10_56

10 57.gif

10_57

10 58.gif

10_58

10 59.gif

10_59

10 60.gif

10_60

10 61.gif

10_61

10 62.gif

10_62

10 63.gif

10_63

10 64.gif

10_64

10 65.gif

10_65

10 66.gif

10_66

10 67.gif

10_67

10 68.gif

10_68

10 69.gif

10_69

10 70.gif

10_70

10 71.gif

10_71

10 72.gif

10_72

10 73.gif

10_73

10 74.gif

10_74

10 75.gif

10_75

10 76.gif

10_76

10 77.gif

10_77

10 78.gif

10_78

10 79.gif

10_79

10 80.gif

10_80

10 81.gif

10_81

10 82.gif

10_82

10 83.gif

10_83

10 84.gif

10_84

10 85.gif

10_85

10 86.gif

10_86

10 87.gif

10_87

10 88.gif

10_88

10 89.gif

10_89

10 90.gif

10_90

10 91.gif

10_91

10 92.gif

10_92

10 93.gif

10_93

10 94.gif

10_94

10 95.gif

10_95

10 96.gif

10_96

10 97.gif

10_97

10 98.gif

10_98

10 99.gif

10_99

10 100.gif

10_100

10 101.gif

10_101

10 102.gif

10_102

10 103.gif

10_103

10 104.gif

10_104

10 105.gif

10_105

10 106.gif

10_106

10 107.gif

10_107

10 108.gif

10_108

10 109.gif

10_109

10 110.gif

10_110

10 111.gif

10_111

10 112.gif

10_112

10 113.gif

10_113

10 114.gif

10_114

10 115.gif

10_115

10 116.gif

10_116

10 117.gif

10_117

10 118.gif

10_118

10 119.gif

10_119

10 120.gif

10_120

10 121.gif

10_121

10 122.gif

10_122

10 123.gif

10_123

10 124.gif

10_124

10 125.gif

10_125

10 126.gif

10_126

10 127.gif

10_127

10 128.gif

10_128

10 129.gif

10_129

10 130.gif

10_130

10 131.gif

10_131

10 132.gif

10_132

10 133.gif

10_133

10 134.gif

10_134

10 135.gif

10_135

10 136.gif

10_136

10 137.gif

10_137

10 138.gif

10_138

10 139.gif

10_139

10 140.gif

10_140

10 141.gif

10_141

10 142.gif

10_142

10 143.gif

10_143

10 144.gif

10_144

10 145.gif

10_145

10 146.gif

10_146

10 147.gif

10_147

10 148.gif

10_148

10 149.gif

10_149

10 150.gif

10_150

10 151.gif

10_151

10 152.gif

10_152

10 153.gif

10_153

10 154.gif

10_154

10 155.gif

10_155

10 156.gif

10_156

10 157.gif

10_157

10 158.gif

10_158

10 159.gif

10_159

10 160.gif

10_160

10 161.gif

10_161

See
warning
below

10 162.gif

10_162

10 163.gif

10_163

10 164.gif

10_164

10 165.gif

10_165

Warning. In 1973 K. Perko noticed that the knots that were later labeled 10161 and 10162 in Rolfsen's tables (which were published in 1976 and were based on earlier tables by Little (1900) and Conway (1970)) are in fact the same. In our table we removed Rolfsen's 10162 and renumbered the subsequent knots, so that our 10 crossings total is 165, one less than Rolfsen's 166. Read more: [1] [2] [3] [4] [5].

See all this as one big mosaic.

Also see Other Knot Tables.