Virtual Knot 4.62
- 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-U1-U3-O4+U2-O3-U4+
- PD presentation
- PD[X[2,8,3,1], X[5,1,6,2], X[3,6,4,7], 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, 4.63, 4.74, 4.83, 4.95, 4.101
- Cabled Jones polynomials
- q-17/2 + 2q-13/2 + q-11/2 - 2q-9/2 - 4q-7/2 - 3q-5/2 + 2q-3/2 + q-1/2
- - q-35/2 + 2q-33/2 + q-31/2 - 2q-15 + q-29/2 - 10q-14 - 18q-27/2 - 43q-13 - 56q-25/2 - 79q-12 - 74q-23/2 - 68q-11 - 37q-21/2 + 4q-10 + 48q-19/2 + 108q-9 + 118q-17/2 + 150q-8 + 118q-15/2 + 126q-7 + 67q-13/2 + 27q-6 - 18q-11/2 - 55q-5 - 59q-9/2 - 87q-4 - 61q-7/2 - 56q-3 - 29q-5/2 - 16q-2 - 3q-3/2 + 4q-1 + q-1/2 + 1
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (- s-3 - 2s-2 + 2s-1 + 1) t-2 + (3s-2 + s-1 - 3 - s) t-1 + (s-3 - 3s-1 + 1 + s) + (- s-2 + 1) t
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- none
- Self linking number
- -2