Virtual Knot 4.85
- 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-O3-U1-O4+U3-U2-U4+
- PD presentation
- PD[X[3,8,4,1], X[6,1,7,2], X[5,2,6,3], X[7,5,8,4]]
- Jones polynomial
- 1
- Other virtual knots (up to mirrors) with the same Jones polynomial
- 0.1, 3.1, 3.7, 4.13, 4.19, 4.26, 4.35, 4.42, 4.46, 4.47, 4.55, 4.56, 4.59, 4.66, 4.67, 4.72, 4.76, 4.77, 4.93, 4.96, 4.97, 4.98, 4.102, 4.103, 4.106, 4.107
- Cabled Jones polynomials
- - q-17/2 + q-15/2 + 5q-13/2 - 6q-9/2 - 4q-7/2 + 2q-5/2 + 4q-3/2 - 2q-1/2 - 2q1/2 + q3/2
- - q-18 + q-17 + 3q-16 + q-15 - 6q-14 + 12q-13 + 87q-12 + 148q-11 + 89q-10 - 118q-9 - 280q-8 - 222q-7 - 20q-6 + 133q-5 + 113q-4 + 45q-3 + 7q-2 + 7q-1 + 10 - 3q1 - q2 - 2q3 + q4
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (- s-2 + 1) t-2 + (s-1 - s) t-1 + (s-2 - 1) + (- s-1 + s) t
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- 3.5, 3.7, 4.47, 4.86, 4.96, 4.106
- Self linking number
- 0