Virtual Knot 4.87
- 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 not equivalent to its inverse.
- Gauss code
- O1-O2-O3-U1-U4-U2-U3-O4-
- PD presentation
- PD[X[3,8,4,1], X[5,1,6,2], X[6,2,7,3], X[4,7,5,8]]
- Jones polynomial
- - q-9/2 - q-4 + q-7/2 + 2q-3 - q-2 + q-1
- Other virtual knots (up to mirrors) with the same Jones polynomial
- 4.82, 4.92, 4.94
- Cabled Jones polynomials
- - q-27/2 + q-23/2 + 7q-21/2 - 2q-19/2 - 7q-17/2 - 2q-15/2 + 3q-13/2 + 4q-11/2 - 4q-9/2 - q-7/2 + q-5/2 - q-1/2
- - q-53/2 + 2q-51/2 - 2q-49/2 - 2q-24 + 4q-23 - 6q-22 - 3q-43/2 - 17q-21 - 33q-41/2 - 58q-20 - 88q-39/2 - 54q-19 - 86q-37/2 - 4q-18 + 10q-35/2 + 90q-17 + 166q-33/2 + 136q-16 + 192q-31/2 + 62q-15 + 74q-29/2 - 27q-14 - 76q-27/2 - 80q-13 - 103q-25/2 - 38q-12 - 45q-23/2 - 5q-11 - 3q-21/2 + 2q-10 - q-9 - 5q-17/2 - 3q-8 - 2q-15/2 + q-7 + 3q-13/2 + 3q-6 - 2q-5 - 2q-9/2 + 2q-7/2 + 2q-3 - 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-3 - 1) t-2 + (s-4 - s-2) t-1 + (- s-3 + 1)
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- none
- Self linking number
- -2