Virtual Knot 4.89
- 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-U4-U3-U2-O4-
- PD presentation
- PD[X[3,8,4,1], X[6,1,7,2], X[5,2,6,3], X[4,7,5,8]]
- Jones polynomial
- - q-4 + q-3 + q-1
- Other virtual knots (up to mirrors) with the same Jones polynomial
- 3.5, 3.6, 4.105
- Cabled Jones polynomials
- - q-25/2 + 6q-21/2 - q-19/2 - 5q-17/2 - 2q-15/2 + 3q-13/2 + 3q-11/2 - 4q-9/2 - q-7/2 + q-5/2 - q-1/2
- q-25 - 2q-24 - 4q-23 - 6q-22 + 27q-21 + 80q-20 + 124q-19 + 71q-18 - 79q-17 - 201q-16 - 203q-15 - 71q-14 + 49q-13 + 95q-12 + 76q-11 + 32q-10 + 11q-9 + 3q-6 - 2q-5 + q-2 + 2q-1
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (- s-4 + s-2) t-4 + (s-4 - 1) t-2 + (- s-2 + 1)
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- none
- Self linking number
- 0