Virtual Knot 4.75
- This virtual knot is not equivalent to its vertical mirror image.
- This virtual knot is equivalent to its horizontal mirror image.
- This virtual knot is equivalent to its inverse.
- Gauss code
- O1-O2-U1-U3+O4+O3+U4+U2-
- PD presentation
- PD[X[2,8,3,1], X[7,1,8,2], X[3,6,4,5], X[6,5,7,4]]
- 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, 4.8, 4.12, 4.17, 4.32, 4.51, 4.58, 4.71
- 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 - q-19/2 - 2q-9 - q-17/2 + q-8 - 3q-15/2 + 5q-13/2 + 10q-6 + 13q-11/2 + 4q-5 + 2q-9/2 - 7q-4 - 18q-7/2 - 22q-3 - 33q-5/2 - 21q-2 - 4q-3/2 + 21q-1 + 39q-1/2 + 36 + 39q1/2 + 21q1 - 4q3/2 - 21q2 - 33q5/2 - 22q3 - 18q7/2 - 7q4 + 2q9/2 + 4q5 + 13q11/2 + 10q6 + 5q13/2 - 3q15/2 + q8 - q17/2 - 2q9 - q19/2 + 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, 4.8, 4.16, 4.41, 4.55, 4.56, 4.58, 4.59, 4.68, 4.71, 4.72, 4.76, 4.77, 4.90, 4.98, 4.99, 4.105, 4.108
- Self linking number
- 0