Virtual Knot 4.44
- 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+U2-O4+U3-
- PD presentation
- PD[X[2,8,3,1], X[5,1,6,2], X[7,3,8,4], X[4,7,5,6]]
- 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, 4.45, 4.49, 4.54, 4.62, 4.63, 4.74, 4.83, 4.95, 4.101
- Cabled Jones polynomials
- q-17/2 - q-13/2 - 2q-11/2 + q-9/2 + 2q-7/2 - q-3/2 - 2q-1/2
- - q-35/2 + 2q-33/2 + q-31/2 - 2q-15 + q-29/2 - 4q-14 - 12q-27/2 - 13q-13 - 24q-25/2 - 11q-12 - 7q-23/2 + 15q-11 + 35q-21/2 + 48q-10 + 68q-19/2 + 51q-9 + 27q-17/2 - 15q-8 - 49q-15/2 - 70q-7 - 80q-13/2 - 67q-6 - 33q-11/2 + 5q-5 + 32q-9/2 + 47q-4 + 41q-7/2 + 34q-3 + 13q-5/2 + q-2 - 5q-3/2 - 9q-1 - 6q-1/2 - 6 - 3q1/2 - q1 + q2
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (- s-3 + s-2) t-3 + (s-3 - s-1) t-2 + (- s-2 + s-1) t-1
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- 2.1, 3.2, 3.4, 4.18, 4.20, 4.27, 4.33, 4.34, 4.38, 4.40, 4.49, 4.52, 4.60, 4.88, 4.94
- Self linking number
- -2