Virtual Knot 4.54
- 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-O4+U2-
- PD presentation
- PD[X[2,8,3,1], X[7,1,8,2], X[5,3,6,4], 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, 4.44, 4.45, 4.49, 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-17 - q-16 - 3q-31/2 - 6q-15 - 8q-29/2 - 12q-14 - 7q-27/2 - q-13 + 13q-25/2 + 32q-12 + 41q-23/2 + 52q-11 + 37q-21/2 + 14q-10 - 22q-19/2 - 60q-9 - 75q-17/2 - 85q-8 - 63q-15/2 - 28q-7 + 7q-13/2 + 42q-6 + 55q-11/2 + 61q-5 + 49q-9/2 + 26q-4 + 10q-7/2 - 7q-3 - 15q-5/2 - 16q-2 - 14q-3/2 - 6q-1 - 5q-1/2 - 2 - q1/2 + q3/2
- 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
- 4.4, 4.5, 4.30, 4.74
- Self linking number
- -2