Template:Knot chirality

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Chiral Amphichiral
Invertible Reversible Fully amphichiral
Non-invertible Fully chiral Amphichiral
Number of knots of each type of chirality for each crossing number
Number of crossings 3 4 5 6 7 8 9 10 11 12 13 14 15 16 OEIS sequence
Chiral knots 1 0 2 2 7 16 49 152 552 2118 9988 46698 253292 1387166 N/A
Reversible knots 1 0 2 2 7 16 47 125 365 1015 3069 8813 26712 78717 A051769
Fully chiral knots 0 0 0 0 0 0 2 27 187 1103 6919 37885 226580 1308449 A051766
Amphichiral knots 0 1 0 1 0 5 0 13 0 58 0 274 1 1539 A052401
Positive Amphichiral knots 0 0 0 0 0 0 0 0 0 1 0 6 0 65 A051767
Negative Amphichiral knots 0 0 0 0 0 1 0 6 0 40 0 227 1 1361 A051768
Fully Amphichiral knots 0 1 0 1 0 4 0 7 0 17 0 41 0 113 A052400