Virtual Knot 4.8
- This virtual knot is equivalent to its vertical mirror image.
- This virtual knot is not equivalent to its horizontal mirror image.
- This virtual knot is not equivalent to its inverse.
- Gauss code
- O1-O2-U1-U2-U3+U4+O3+O4+
- PD presentation
- PD[X[2,8,3,1], X[3,1,4,2], X[4,7,5,6], X[5,8,6,7]]
- Jones polynomial
- - q-3/2 - q-1 + q-1/2 + 3 + q1/2 - q1 - q3/2
- Other virtual knots (up to mirrors) with the same Jones polynomial
- 4.2, 4.6, 4.12, 4.17, 4.32, 4.51, 4.58, 4.71, 4.75
- Cabled Jones polynomials
- - q-11/2 + q-7/2 + 5q-5/2 - 6q-1/2 - 6q1/2 + 5q5/2 + q7/2 - q11/2
- - q-23/2 + 2q-21/2 - 2q-19/2 - 2q-9 + 4q-8 - 3q-7 - 7q-6 - 15q-11/2 - 39q-5 - 52q-9/2 - 54q-4 - 71q-7/2 - 54q-3 - 46q-5/2 + 3q-2 + 47q-3/2 + 87q-1 + 138q-1/2 + 134 + 138q1/2 + 87q1 + 47q3/2 + 3q2 - 46q5/2 - 54q3 - 71q7/2 - 54q4 - 52q9/2 - 39q5 - 15q11/2 - 7q6 - 3q7 + 4q8 - 2q9 - 2q19/2 + 2q21/2 - q23/2
- 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, 4.16, 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, 4.105, 4.108
- Self linking number
- 0