Virtual Knot 4.80
- 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 not equivalent to its inverse.
- Gauss code
- O1-O2-U1-U3-U4-U2-O4-O3-
- PD presentation
- PD[X[2,8,3,1], X[5,1,6,2], X[3,7,4,8], 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, 4.43
- Cabled Jones polynomials
- - q-27/2 + 2q-25/2 + 2q-23/2 - 3q-19/2 - 2q-17/2 + q-15/2 + q-13/2 - q-5/2 - q-1/2
- - q-53/2 + 2q-51/2 - 2q-49/2 + 2q-47/2 + 6q-23 + 2q-45/2 - 4q-22 - 6q-43/2 - 26q-21 - 24q-41/2 - 49q-20 - 49q-39/2 - 49q-19 - 41q-37/2 + q-18 + 11q-35/2 + 68q-17 + 80q-33/2 + 111q-16 + 100q-31/2 + 72q-15 + 41q-29/2 - 6q-14 - 22q-27/2 - 54q-13 - 48q-25/2 - 52q-12 - 33q-23/2 - 22q-11 - 13q-21/2 - 2q-19/2 + 5q-9 + 4q-17/2 + 2q-8 - 2q-15/2 - 4q-7 + 2q-6 - q-11/2 + 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
- (- s-4 + s-3) t-4 + (s-4 - 1) t-1 + (- s-3 + 1)
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- none
- Self linking number
- -4