Virtual Knot 4.33
- This virtual knot is not equivalent to its vertical mirror image.
- This virtual knot is not equivalent to its horizontal mirror image.
- The two mirror images are not equivalent to each other.
- This virtual knot is not equivalent to its inverse.
- Gauss code
- O1-O2+U1-O3-O4-U3-U2+U4-
- PD presentation
- PD[X[2,8,3,1], X[6,2,7,1], X[5,3,6,4], X[7,4,8,5]]
- Jones polynomial
- - q-5/2 + q-3/2 + q-1
- Other virtual knots (up to mirrors) with the same Jones polynomial
- 2.1, 3.3, 4.4, 4.5, 4.11, 4.18, 4.28, 4.30, 4.38, 4.39, 4.44, 4.45, 4.49, 4.54, 4.62, 4.63, 4.74, 4.83, 4.95, 4.101
- Cabled Jones polynomials
- q-17/2 + 2q-15/2 + 3q-13/2 - 2q-11/2 - 5q-9/2 - 4q-7/2 + 3q-3/2
- - q-35/2 + 4q-33/2 - q-31/2 - 6q-15 - 10q-29/2 - 22q-14 - 52q-27/2 - 76q-13 - 102q-25/2 - 118q-12 - 125q-23/2 - 107q-11 - 71q-21/2 + 7q-10 + 79q-19/2 + 173q-9 + 232q-17/2 + 253q-8 + 261q-15/2 + 195q-7 + 134q-13/2 + 29q-6 - 37q-11/2 - 85q-5 - 118q-9/2 - 115q-4 - 105q-7/2 - 77q-3 - 61q-5/2 - 38q-2 - 22q-3/2 - 7q-1 - 5q-1/2 - 2 - q1/2 + q3/2
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (- s-2 + s-1) t-2 + (s-2 - 1) t-1 + (- s-1 + 1)
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- 2.1, 3.2, 3.4, 4.18, 4.20, 4.27, 4.34, 4.38, 4.40, 4.44, 4.49, 4.52, 4.60, 4.88, 4.94
- Self linking number
- -2