Virtual Knot 4.83
- 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-O2-O3-U1-O4+U2-U3-U4+
- PD presentation
- PD[X[3,8,4,1], X[5,1,6,2], X[6,2,7,3], X[7,5,8,4]]
- Jones polynomial
- - q-5/2 + q-3/2 + q-1
- Other virtual knots (up to mirrors) with the same Jones polynomial
- 2.1, 3.3, 4.4, 4.5, 4.11, 4.18, 4.28, 4.30, 4.33, 4.38, 4.39, 4.44, 4.45, 4.49, 4.54, 4.62, 4.63, 4.74, 4.95, 4.101
- Cabled Jones polynomials
- - q-15/2 + 3q-13/2 + 3q-11/2 - q-9/2 - 5q-7/2 - 4q-5/2 + 2q-3/2 + q-1/2
- - 4q-29/2 - 3q-14 - 9q-27/2 - 10q-13 - 24q-25/2 - 23q-12 - 41q-23/2 - 37q-11 - 50q-21/2 - 34q-10 - 23q-19/2 + 4q-9 + 46q-17/2 + 64q-8 + 109q-15/2 + 96q-7 + 113q-13/2 + 60q-6 + 45q-11/2 - 3q-5 - 27q-9/2 - 45q-4 - 64q-7/2 - 45q-3 - 52q-5/2 - 20q-2 - 20q-3/2 - 3q-1 - 2q-1/2 + 3 + 3q1/2
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (- s-2 + 1) t-2 + (- s-3 + s-2 + s-1 - s) t-1 + (s-3 + s-2 - s-1 - 1) + (- s-2 + s) t
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- none
- Self linking number
- -2