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A Table of Virtual Knots

Last updated January 2, 2023

Jeremy Green

(comments/corrections to jeremy.green@utoronto.ca)

This is a table of virtual knots. They were enumerated using a computer program written by Jeremy Green under the supervision of Dror Bar-Natan. For more information about this project, see the about page or the results of the enumeration. There is also a table of contents for the associated pages.

See also Bartholomew's Table of Virtual Links and The Knot Atlas (of classical knots).

Virtual knots with up to 3 crossings


0.1

2.1

3.1

3.2

3.3

3.4

3.5

3.6

3.7

Virtual knots with 4 crossings


4.1

4.2

4.3

4.4

4.5

4.6

4.7

4.8

4.9

4.10

4.11

4.12

4.13

4.14

4.15

4.16

4.17

4.18

4.19

4.20

4.21

4.22

4.23

4.24

4.25

4.26

4.27

4.28

4.29

4.30

4.31

4.32

4.33

4.34

4.35

4.36

4.37

4.38

4.39

4.40

4.41

4.42

4.43

4.44

4.45

4.46

4.47

4.48

4.49

4.50

4.51

4.52

4.53

4.54

4.55

4.56

4.57

4.58

4.59

4.60

4.61

4.62

4.63

4.64

4.65

4.66

4.67

4.68

4.69

4.70

4.71

4.72

4.73

4.74

4.75

4.76

4.77

4.78

4.79

4.80

4.81

4.82

4.83

4.84

4.85

4.86

4.87

4.88

4.89

4.90

4.91

4.92

4.93

4.94

4.95

4.96

4.97

4.98

4.99

4.100

4.101

4.102

4.103

4.104

4.105

4.106

4.107

4.108