Virtual Knot 4.50
- 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-O3+U4-U3+U2-O4-
- PD presentation
- PD[X[2,8,3,1], X[6,1,7,2], X[5,4,6,3], X[4,7,5,8]]
- Jones polynomial
- - q-3 - q-5/2 + q-2 + 2q-3/2 + q-1 - q-1/2
- Other virtual knots (up to mirrors) with the same Jones polynomial
- 4.10, 4.16, 4.21, 4.24, 4.31, 4.36, 4.57, 4.68, 4.70
- Cabled Jones polynomials
- - q-19/2 + q-15/2 + 5q-13/2 - 4q-9/2 - 4q-7/2 - q-5/2 + 3q-3/2 - q-1/2
- - q-19 + 2q-18 - 2q-17 - 2q-33/2 + 4q-31/2 - 3q-29/2 - 7q-27/2 - 13q-13 - 35q-25/2 - 43q-12 - 34q-23/2 - 36q-11 - 4q-21/2 + 9q-10 + 48q-19/2 + 75q-9 + 76q-17/2 + 80q-8 + 37q-15/2 + 24q-7 - 9q-13/2 - 31q-6 - 37q-11/2 - 41q-5 - 23q-9/2 - 18q-4 - 8q-7/2 - 7q-3 - 5q-5/2 + 3q-2 + 5q-3/2 + 3q-1 - 3q-1/2
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (- s-3 + s-1) t-2 + (s-3 + s-2 - s-1 - 1) t-1 + (- s-2 + 1)
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- 3.1, 4.10, 4.17, 4.19, 4.23, 4.32, 4.35, 4.42, 4.57, 4.67, 4.70, 4.79
- Self linking number
- 0