Virtual Knot 4.10
- 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-O3-U2-O4+U3-U4+
- PD presentation
- PD[X[2,8,3,1], X[4,1,5,2], X[6,3,7,4], X[7,6,8,5]]
- 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
- 4.16, 4.21, 4.24, 4.31, 4.36, 4.50, 4.57, 4.68, 4.70
- Cabled Jones polynomials
- - q-19/2 + 4q-13/2 + 2q-11/2 - q-9/2 - 4q-7/2 - 4q-5/2 + q-3/2 + q1/2
- - q-19 + 2q-18 - 2q-33/2 - 2q-16 - 2q-31/2 - 8q-15 - 2q-29/2 + q-14 + 19q-27/2 + 33q-13 + 38q-25/2 + 51q-12 + 29q-23/2 + 10q-11 - 48q-21/2 - 104q-10 - 140q-19/2 - 170q-9 - 120q-17/2 - 68q-8 + 26q-15/2 + 110q-7 + 163q-13/2 + 197q-6 + 158q-11/2 + 107q-5 + 38q-9/2 - 21q-4 - 55q-7/2 - 72q-3 - 68q-5/2 - 46q-2 - 30q-3/2 - 11q-1 - 6q-1/2 - 4 + 3q3/2 - 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, 4.17, 4.19, 4.23, 4.32, 4.35, 4.42, 4.50, 4.57, 4.67, 4.70, 4.79
- Self linking number
- 0