Virtual Knot 4.38
- 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-U3-O4+
- PD presentation
- PD[X[2,8,3,1], X[5,1,6,2], X[6,3,7,4], X[4,8,5,7]]
- 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, 4.4, 4.5, 4.11, 4.18, 4.28, 4.30, 4.33, 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
- 2q-13/2 - q-9/2 - 2q-7/2 - q-5/2 + q-3/2 - q-1/2
- - q-29/2 + q-14 + q-27/2 - 2q-25/2 - 4q-12 - 7q-23/2 - 17q-11 - 21q-21/2 - 36q-10 - 35q-19/2 - 30q-9 - 10q-17/2 + 17q-8 + 29q-15/2 + 63q-7 + 61q-13/2 + 64q-6 + 43q-11/2 + 21q-5 + 9q-9/2 - 17q-4 - 18q-7/2 - 29q-3 - 27q-5/2 - 21q-2 - 16q-3/2 - 6q-1 - 6q-1/2 - 2 - q1/2 + q3/2
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (s-1 - 1) t-2 + (- s-1 + s) t-1 + (1 - s)
- 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, 4.40, 4.44, 4.49, 4.52, 4.60, 4.88, 4.94
- Self linking number
- -2