Virtual Knot 4.92
- 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-O4-U1-U3-U2-U4-
- PD presentation
- PD[X[4,8,5,1], X[6,1,7,2], X[5,2,6,3], X[7,3,8,4]]
- 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, 4.94
- Cabled Jones polynomials
- - q-27/2 - 2q-23/2 + 4q-21/2 + 3q-19/2 - 2q-15/2 - 3q-13/2 + q-11/2 - q-9/2 - q-1/2
- - q-53/2 + 2q-51/2 - q-49/2 - 2q-24 - q-47/2 - q-23 - 3q-45/2 + 6q-21 + 6q-41/2 + 5q-20 + 7q-39/2 + 2q-19 + 5q-37/2 - 6q-18 - 8q-35/2 - 8q-17 - 12q-33/2 - 4q-16 - 5q-31/2 + 3q-15 + 4q-29/2 + 3q-14 + 3q-27/2 + q-13 + 2q-25/2 + q-12 - q-11 + 2q-21/2 + 3q-10 - 2q-9 + 2q-8 - 2q-7 + 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-4 + s-1) t-4 + (s-3 - 1) t-3 + (s-4 - s-1) t-1 + (- s-3 + 1)
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- 4.95, 4.104
- Self linking number
- -2