Virtual Knot 4.100
- 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-O4-U1-U2-O3-U4-
- PD presentation
- PD[X[4,8,5,1], X[5,1,6,2], X[2,6,3,7], X[7,3,8,4]]
- Jones polynomial
- - q-11/2 + q-9/2 - q-7/2 + q-5/2 + q-2
- Other virtual knots (up to mirrors) with the same Jones polynomial
- 4.91
- Cabled Jones polynomials
- - q-31/2 + q-29/2 - q-27/2 + q-25/2 + q-23/2 + q-21/2 - q-19/2 - q-17/2 + q-15/2 + q-13/2 - q-11/2 - 2q-9/2 - q-5/2 + q-3/2 - q-1/2
- - q-59/2 + q-57/2 - q-55/2 + q-53/2 - q-51/2 + q-49/2 + 3q-24 + 2q-47/2 + q-23 - q-45/2 - 4q-22 - 3q-43/2 - 4q-21 - q-41/2 + 4q-20 + 5q-39/2 + 7q-19 + 2q-37/2 - 2q-18 - 4q-35/2 - 8q-17 - 6q-33/2 - 4q-16 + 4q-15 + 4q-29/2 + 7q-14 + 5q-27/2 + q-13 - 2q-25/2 - 4q-12 - 2q-23/2 - 4q-11 - 4q-21/2 + 2q-19/2 + 3q-9 + q-17/2 + q-8 + 2q-15/2 + q-7 - q-6 - 2q-11/2 + q-5 + 2q-9/2 - 2q-7/2 + 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-2) t-3 + (- s-3 + s-1) t-2 + (s-2 - 1) t-1 + (- s-1 + 1)
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- 4.7, 4.53
- Self linking number
- -4