Virtual Knot 4.64
- 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 equivalent to its inverse.
- Gauss code
- O1-O2-U1-U3+O4+U2-O3+U4+
- PD presentation
- PD[X[2,8,3,1], X[5,1,6,2], X[3,7,4,6], X[7,5,8,4]]
- Jones polynomial
- - q-3/2 + q-1/2 + 2 - q1
- Other virtual knots (up to mirrors) with the same Jones polynomial
- 4.14, 4.20, 4.22, 4.34, 4.40, 4.52, 4.60
- Cabled Jones polynomials
- - q-11/2 + q-9/2 + 2q-7/2 + q-5/2 - 3q-3/2 - 4q-1/2 + 2q3/2 + q5/2 - q7/2
- - q-23/2 + q-21/2 - q-19/2 + q-17/2 + 4q-8 + 2q-15/2 + 2q-7 - 2q-6 - 2q-11/2 - 9q-5 - 10q-9/2 - 7q-4 - 4q-7/2 + 3q-3 + 6q-5/2 + 14q-2 + 16q-3/2 + 14q-1 + 10q-1/2 - 1 - 11q1/2 - 16q1 - 15q3/2 - 8q2 - q5/2 + 5q3 + 8q7/2 + 6q4 + 3q9/2 - q11/2 - q13/2 - q7
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (s-2 - s) t-1 + (- s-2 - s-1 + s + s2) + (s-1 - s2) t
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- none
- Self linking number
- -2