Virtual Knot 4.30
- 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[6,1,7,2], X[5,3,6,4], X[7,5,8,4]]
- 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, 4.33, 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
- 3q-13/2 + q-11/2 - 2q-9/2 - 4q-7/2 - 2q-5/2 + 2q-3/2
- - q-29/2 - q-27/2 - 4q-13 - 8q-25/2 - 16q-12 - 33q-23/2 - 50q-11 - 64q-21/2 - 77q-10 - 71q-19/2 - 54q-9 - 5q-17/2 + 41q-8 + 88q-15/2 + 146q-7 + 153q-13/2 + 153q-6 + 108q-11/2 + 67q-5 + 22q-9/2 - 42q-4 - 61q-7/2 - 80q-3 - 70q-5/2 - 57q-2 - 44q-3/2 - 19q-1 - 13q-1/2 - 4 - 2q1/2 + 2q3/2
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (s-3 - 2s-2 + s-1) t-2 + (- s-3 + 2s-1 - 1) t-1 + (2s-2 - 2s-1) + (- s-1 + 1) t
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- 4.4, 4.5, 4.54, 4.74
- Self linking number
- -2