Virtual Knot 3.5
- 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-O3-U1-U2-U3-
- PD presentation
- PD[X[3,6,4,1], X[4,1,5,2], X[5,2,6,3]]
- Jones polynomial
- - q-4 + q-3 + q-1
- Other virtual knots (up to mirrors) with the same Jones polynomial
- 3.6, 4.89, 4.105
- Cabled Jones polynomials
- - q-23/2 + q-21/2 - q-19/2 + q-17/2 + 2q-15/2 + q-13/2 - q-11/2 - 3q-9/2 - q-1/2
- - q-22 + q-21 - q-20 + q-19 - q-18 + q-17 + 4q-16 + 4q-15 - 9q-13 - 8q-12 - q-11 + 5q-10 + 3q-9 + 2q-8 + 2q-6 - q-5 - q-4 + q-3 + q-2 + 2q-1
- - q-71/2 + q-69/2 - q-67/2 + q-65/2 - q-63/2 + q-61/2 - q-59/2 + q-57/2 + 6q-55/2 + 6q-53/2 + 7q-51/2 - 9q-49/2 - 15q-47/2 - 23q-45/2 - 10q-43/2 + 10q-41/2 + 21q-39/2 + 21q-37/2 + 8q-35/2 - 5q-33/2 - 4q-31/2 - 6q-29/2 - 2q-27/2 - 2q-25/2 - 6q-23/2 + 4q-21/2 - 6q-19/2 + 4q-17/2 + 5q-15/2 + 3q-13/2 - 3q-11/2 - 9q-9/2 - q-3/2 - 2q-1/2
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (- s-3 + s-1) t-3 + (s-2 - 1) t-2 + (s-3 - s-1) t-1 + (- s-2 + 1)
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- 3.7, 4.47, 4.85, 4.86, 4.96, 4.106
- Self linking number
- 0