Virtual Knot 4.70
- 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-U3+O4-O3+U2-U4-
- PD presentation
- PD[X[2,8,3,1], X[6,1,7,2], X[3,6,4,5], X[7,4,8,5]]
- Jones polynomial
- - q-3 - q-5/2 + q-2 + 2q-3/2 + q-1 - q-1/2
- Other virtual knots (up to mirrors) with the same Jones polynomial
- 4.10, 4.16, 4.21, 4.24, 4.31, 4.36, 4.50, 4.57, 4.68
- Cabled Jones polynomials
- - q-19/2 + q-17/2 + 2q-15/2 + 4q-13/2 - q-11/2 - 4q-9/2 - 4q-7/2 - 2q-5/2 + 2q-3/2 + q1/2
- - q-19 + 3q-18 - 3q-17 - 2q-33/2 + 6q-31/2 + 2q-15 - 5q-29/2 - 3q-14 - 32q-27/2 - 50q-13 - 103q-25/2 - 140q-12 - 142q-23/2 - 169q-11 - 91q-21/2 - 65q-10 + 67q-19/2 + 163q-9 + 249q-17/2 + 332q-8 + 277q-15/2 + 271q-7 + 140q-13/2 + 65q-6 - 45q-11/2 - 120q-5 - 136q-9/2 - 147q-4 - 111q-7/2 - 95q-3 - 61q-5/2 - 33q-2 - 12q-3/2 - 4q-1 - q-1/2 - 2 + q1/2 + 2q3/2 - q5/2
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (- s-3 + s-1) t-2 + (s-3 + s-2 - s-1 - 1) t-1 + (- s-2 + 1)
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- 3.1, 4.10, 4.17, 4.19, 4.23, 4.32, 4.35, 4.42, 4.50, 4.57, 4.67, 4.79
- Self linking number
- 0