Virtual Knot 4.35
- 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+O4-U3+U2+U4-
- PD presentation
- PD[X[2,8,3,1], X[6,2,7,1], X[5,4,6,3], X[7,4,8,5]]
- 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, 4.42, 4.46, 4.47, 4.55, 4.56, 4.59, 4.66, 4.67, 4.72, 4.76, 4.77, 4.85, 4.93, 4.96, 4.97, 4.98, 4.102, 4.103, 4.106, 4.107
- Cabled Jones polynomials
- q-5/2 + q-3/2 - 2q-1/2 - 3q1/2 - q3/2 + q5/2 + q7/2
- - q-5 - 3q-9/2 - 14q-4 - 18q-7/2 - 25q-3 - 28q-5/2 - 30q-2 - 27q-3/2 + 14q-1/2 + 37 + 50q1/2 + 59q1 + 59q3/2 + 41q2 + 25q5/2 + 7q3 - 14q7/2 - 21q4 - 26q9/2 - 25q5 - 21q11/2 - 18q6 - 8q13/2 - 6q7 - 3q15/2 - q8 + q9
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (- s-1 + 1) t-2 + (1 - s) t-1 + (s-1 - 1) + (- 1 + s) t
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- 3.1, 4.10, 4.17, 4.19, 4.23, 4.32, 4.42, 4.50, 4.57, 4.67, 4.70, 4.79
- Self linking number
- 0