Virtual Knot 3.6
- 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-U2-O3-U1-O2-U3-
- PD presentation
- PD[X[3,6,4,1], X[1,4,2,5], X[5,2,6,3]]
- Jones polynomial
- - q-4 + q-3 + q-1
- Other virtual knots (up to mirrors) with the same Jones polynomial
- 3.5, 4.89, 4.105
- Cabled Jones polynomials
- - q-23/2 + q-21/2 + q-17/2 - q-9/2 - q-5/2 - q-1/2
- - q-22 + q-21 + q-19 - q-15 - q-13 - q-11 + q-10 - q-9 + q-8 + q-6 - q-4 + 2q-3 + q-2 + 2q-1
- - q-71/2 + q-69/2 + q-65/2 - q-57/2 - q-53/2 - q-49/2 + q-47/2 - q-45/2 + q-43/2 + q-39/2 + q-35/2 + q-31/2 - 3q-23/2 + 3q-21/2 - q-19/2 + 3q-17/2 - q-15/2 - q-11/2 - 3q-9/2 - q-7/2 - 3q-5/2 - q-3/2 - 2q-1/2
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- 0
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- 0.1, 4.8, 4.16, 4.41, 4.55, 4.56, 4.58, 4.59, 4.68, 4.71, 4.72, 4.75, 4.76, 4.77, 4.90, 4.98, 4.99, 4.105, 4.108
- Self linking number
- 0