Virtual Knot 4.94
- 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-U3-U1-O4-U2-O3-U4-
- PD presentation
- PD[X[3,8,4,1], X[5,1,6,2], X[2,6,3,7], X[7,4,8,5]]
- 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, 4.87, 4.92
- Cabled Jones polynomials
- - q-27/2 + 4q-21/2 - q-19/2 - 2q-17/2 + q-13/2 + q-11/2 - 3q-9/2 - q-1/2
- - q-53/2 + 2q-51/2 - q-49/2 - 2q-24 - q-47/2 + q-23 - 2q-45/2 + q-22 + 4q-43/2 + 7q-21 + 8q-41/2 - 2q-20 - 4q-39/2 - 8q-19 - 12q-37/2 - 7q-18 - 7q-35/2 + 6q-17 + 16q-33/2 + 16q-16 + 14q-31/2 - 4q-15 - 10q-29/2 - 12q-14 - 19q-27/2 - 8q-13 + 10q-12 + 15q-23/2 + 7q-11 + 5q-21/2 - 2q-10 - 7q-19/2 - 4q-9 - 4q-17/2 + q-15/2 + q-7 + 3q-13/2 + 2q-6 - q-5 - 2q-9/2 - q-4 + 2q-7/2 + 3q-3 - q-2 + 2q-1
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (- s-3 + s-2) t-3 + (s-3 - s-1) t-2 + (- s-2 + s-1) t-1
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- 2.1, 3.2, 3.4, 4.18, 4.20, 4.27, 4.33, 4.34, 4.38, 4.40, 4.44, 4.49, 4.52, 4.60, 4.88
- Self linking number
- -2