Virtual Knot 4.63
- 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[3,7,4,6], X[7,4,8,5]]
- 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, 4.74, 4.83, 4.95, 4.101
- Cabled Jones polynomials
- q-17/2 - q-11/2 - q-5/2 - q-1/2
- - q-35/2 + 2q-33/2 + q-31/2 - 2q-15 + q-29/2 - 5q-14 - 13q-27/2 - 21q-13 - 34q-25/2 - 31q-12 - 31q-23/2 - 14q-11 + 21q-10 + 47q-19/2 + 56q-9 + 56q-17/2 + 44q-8 + 34q-15/2 + 24q-7 - 16q-6 - 23q-11/2 - 23q-5 - 20q-9/2 - 22q-4 - 14q-7/2 - 8q-3 - 5q-5/2 - q-2 + 2q-1
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (- s-3 - s-2 + 2s-1) t-2 + (s-3 + 2s-2 - s-1 - 2) t-1 + (- s-2 - s-1 + 2)
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- none
- Self linking number
- -2