Virtual Knot 4.86
- 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 equivalent to each other.
- This virtual knot is equivalent to its inverse.
- Gauss code
- O1-O2+O3+U1-O4-U3+U2+U4-
- PD presentation
- PD[X[3,8,4,1], X[6,2,7,1], X[5,3,6,2], X[7,4,8,5]]
- Jones polynomial
- q-2 - q-1 + 1 - q1 + q2
- Other virtual knots (up to mirrors) with the same Jones polynomial
- 4.90, 4.99, 4.108
- Cabled Jones polynomials
- - q-13/2 + q-11/2 - q-9/2 + 3q-5/2 - 4q-1/2 - 2q1/2 + 2q3/2 + 2q5/2 - 2q7/2 - q9/2 + 2q11/2 - q13/2
- q-13 - q-12 + q-11 - q-10 + 2q-9 - 2q-8 - 3q-7 - 5q-6 + 2q-5 + 12q-4 + 11q-3 - 2q-2 - 19q-1 - 9 + 5q1 + 14q2 + 3q3 - 2q4 - 4q5 + q6 - q7 + 2q9 - q10 + q11 - 2q12 + q13
- 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, 4.85, 4.96, 4.106
- Self linking number
- 0