Virtual Knot 4.43
- 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 equivalent to each other.
- This virtual knot is equivalent to its inverse.
- Gauss code
- O1-O2-U1-O3-U4-U2-O4-U3-
- PD presentation
- PD[X[2,8,3,1], X[5,1,6,2], X[7,3,8,4], X[4,6,5,7]]
- Jones polynomial
- - q-9/2 + q-7/2 + q-3 - q-5/2 - q-2 + q-3/2 + q-1
- Other virtual knots (up to mirrors) with the same Jones polynomial
- 4.25, 4.80
- Cabled Jones polynomials
- - q-27/2 + q-25/2 + q-23/2 - 2q-19/2 + 2q-15/2 + q-13/2 - q-11/2 - q-9/2 - q-5/2 - q-1/2
- - q-53/2 + q-51/2 - q-49/2 + q-47/2 + 3q-23 + q-45/2 + q-22 - 3q-21 - 3q-41/2 - 7q-20 - 5q-39/2 + q-19 + 3q-37/2 + 10q-18 + 9q-35/2 + 7q-17 + 5q-33/2 - 7q-16 - 10q-31/2 - 15q-15 - 12q-29/2 + 2q-14 + 5q-27/2 + 13q-13 + 13q-25/2 + 4q-12 - 9q-11 - 9q-21/2 - 5q-10 - 4q-19/2 + 5q-9 + 6q-17/2 + 2q-8 - 3q-7 + q-6 - q-11/2 + q-5 + 2q-4 + 2q-7/2 - 2q-5/2 - q-2 + 2q-3/2 + 2q-1
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (- 2s-3 + 2s-2) t-3 + (2s-3 - 2s-1) t-2 + (- 2s-2 + 2s-1) t-1
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- none
- Self linking number
- -4