Virtual Knot 4.99
- This virtual knot is equivalent to its vertical mirror image.
- This virtual knot is not equivalent to its horizontal mirror image.
- This virtual knot is not equivalent to its inverse.
- Gauss code
- O1-O2+U3+U1-O4-O3+U2+U4-
- PD presentation
- PD[X[3,8,4,1], X[6,2,7,1], X[2,6,3,5], 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
- 4.86, 4.90, 4.108
- Cabled Jones polynomials
- - q-13/2 + q-11/2 - q-9/2 + 3q-5/2 + q-3/2 - 4q-1/2 - 4q1/2 + q3/2 + 3q5/2 - q9/2 + q11/2 - q13/2
- q-13 - q-12 + q-11 - q-10 + 2q-9 - 2q-8 - 3q-7 - 5q-6 - q-5 + 9q-4 + 15q-3 + 11q-2 - 14q-1 - 20 - 14q1 + 11q2 + 15q3 + 9q4 - q5 - 5q6 - 3q7 - 2q8 + 2q9 - q10 + q11 - q12 + q13
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- 0
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- 0.1, 3.6, 4.8, 4.16, 4.41, 4.55, 4.56, 4.58, 4.59, 4.68, 4.71, 4.72, 4.75, 4.76, 4.77, 4.90, 4.98, 4.105, 4.108
- Self linking number
- 0