Virtual Knot 4.45
- 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 not equivalent to its inverse.
- Gauss code
- O1-O2-U1-O3+U4-U2-O4-U3+
- PD presentation
- PD[X[2,8,3,1], X[5,1,6,2], X[7,4,8,3], X[4,6,5,7]]
- Jones polynomial
- - q-5/2 + q-3/2 + q-1
- Other virtual knots (up to mirrors) with the same Jones polynomial
- 2.1, 3.3, 4.4, 4.5, 4.11, 4.18, 4.28, 4.30, 4.33, 4.38, 4.39, 4.44, 4.49, 4.54, 4.62, 4.63, 4.74, 4.83, 4.95, 4.101
- Cabled Jones polynomials
- q-17/2 + q-13/2 - q-9/2 - 2q-7/2 - 2q-5/2 + q-3/2
- - q-35/2 + 2q-33/2 + q-31/2 - 2q-15 + q-29/2 - 9q-14 - 17q-27/2 - 45q-13 - 58q-25/2 - 80q-12 - 68q-23/2 - 37q-11 - 6q-21/2 + 75q-10 + 95q-19/2 + 169q-9 + 139q-17/2 + 122q-8 + 75q-15/2 - 5q-7 - 23q-13/2 - 104q-6 - 83q-11/2 - 94q-5 - 62q-9/2 - 24q-4 - 17q-7/2 + 19q-3 + 9q-5/2 + 20q-2 + 11q-3/2 + 2q-1 + 2q-1/2 - 3 - q1 + q2
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (- s-3 + s-2) t-3 + (s-2 - s-1) t-2 + (- s-2 + 1) t-1 + (s-3 + s-1 - 1 - s) + (- s-2 + s) t
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- none
- Self linking number
- -2