Virtual Knot 4.61
- 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-U2-O3-U4-
- PD presentation
- PD[X[2,8,3,1], X[5,1,6,2], X[3,6,4,7], X[7,4,8,5]]
- Jones polynomial
- - q-4 - q-7/2 + q-3 + q-5/2 + q-2
- Other virtual knots (up to mirrors) with the same Jones polynomial
- 4.9, 4.15, 4.29, 4.37, 4.48, 4.69, 4.78
- Cabled Jones polynomials
- - q-25/2 - 2q-23/2 + 3q-21/2 + 2q-19/2 + 2q-17/2 - 2q-15/2 - q-13/2 - 2q-9/2 - q-5/2 + q-3/2 - q-1/2
- - q-51/2 + q-49/2 + 3q-47/2 - 2q-23 - q-45/2 - 9q-22 - 16q-43/2 - 8q-21 - 19q-41/2 + 10q-20 + 23q-39/2 + 45q-19 + 62q-37/2 + 39q-18 + 41q-35/2 - 17q-17 - 46q-33/2 - 78q-16 - 99q-31/2 - 67q-15 - 43q-29/2 + 12q-14 + 33q-27/2 + 51q-13 + 64q-25/2 + 49q-12 + 27q-23/2 + 2q-11 - 8q-21/2 - 9q-10 - 13q-19/2 - 13q-9 - 8q-17/2 - 4q-8 + q-5 - 2q-4 - 2q-7/2 + 2q-3 + 2q-5/2 + 2q-2
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (- s-4 + s-3) t-4 + (s-4 + s-3 - 2s-2) t-3 + (- 2s-3 + 2s-1) t-2 + (2s-2 - s-1 - 1) t-1 + (- s-1 + 1)
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- 4.9, 4.69
- Self linking number
- -2