Virtual Knot 4.4
- 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-U2-O3-U4+U3-O4+
- PD presentation
- PD[X[2,8,3,1], X[3,1,4,2], X[6,4,7,5], X[5,8,6,7]]
- 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, 4.5, 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, 4.83, 4.95, 4.101
- Cabled Jones polynomials
- - q-15/2 + q-13/2 + q-11/2 + q-9/2 - q-7/2 - 2q-5/2 - q-1/2
- - q-29/2 + q-27/2 - 3q-13 - 8q-25/2 - 12q-12 - 25q-23/2 - 35q-11 - 58q-21/2 - 66q-10 - 66q-19/2 - 56q-9 - 14q-17/2 + 21q-8 + 78q-15/2 + 121q-7 + 138q-13/2 + 140q-6 + 102q-11/2 + 67q-5 + 21q-9/2 - 29q-4 - 51q-7/2 - 69q-3 - 63q-5/2 - 52q-2 - 41q-3/2 - 19q-1 - 13q-1/2 - 4 - 2q1/2 + 2q3/2
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (s-2 - s-1) t-3 + (- 2s-2 + 2) t-2 + (s-2 + 2s-1 - 2 - s) t-1 + (- s-1 + s)
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- 4.5, 4.30, 4.54, 4.74
- Self linking number
- -2