Virtual Knot 4.105
- 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 not equivalent to each other.
- This virtual knot is not equivalent to its inverse.
- Gauss code
- O1-U2-O3-U1-O4-U3-O2-U4-
- PD presentation
- PD[X[3,8,4,1], X[1,6,2,7], X[5,2,6,3], X[7,4,8,5]]
- Jones polynomial
- - q-4 + q-3 + q-1
- Other virtual knots (up to mirrors) with the same Jones polynomial
- 3.5, 3.6, 4.89
- Cabled Jones polynomials
- q-25/2 - q-23/2 - 2q-21/2 - q-19/2 + 4q-17/2 + 3q-15/2 - q-13/2 - 3q-11/2 - q-9/2 + q-7/2 - q-5/2 - q-1/2
- - q-25 + q-24 + 2q-23 + 5q-22 - 2q-21 - 15q-20 - 15q-19 + 7q-18 + 37q-17 + 24q-16 - 16q-15 - 44q-14 - 19q-13 + 20q-12 + 25q-11 + 4q-10 - 15q-9 - 4q-8 + 3q-7 + 5q-6 - q-5 - 2q-4 + 2q-3 + q-2 + 2q-1
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- 0
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- 0.1, 3.6, 4.8, 4.16, 4.41, 4.55, 4.56, 4.58, 4.59, 4.68, 4.71, 4.72, 4.75, 4.76, 4.77, 4.90, 4.98, 4.99, 4.108
- Self linking number
- 0