Virtual Knot 4.39
- 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+U4-U2-U3+O4-
- PD presentation
- PD[X[2,8,3,1], X[5,1,6,2], X[6,4,7,3], X[4,7,5,8]]
- 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, 4.44, 4.45, 4.49, 4.54, 4.62, 4.63, 4.74, 4.83, 4.95, 4.101
- Cabled Jones polynomials
- 4q-13/2 + 2q-11/2 - 3q-9/2 - 6q-7/2 - 3q-5/2 + 3q-3/2 + q-1/2
- - q-29/2 - 8q-13 - 12q-25/2 - 30q-12 - 32q-23/2 - 61q-11 - 56q-21/2 - 87q-10 - 68q-19/2 - 46q-9 - 2q-17/2 + 71q-8 + 85q-15/2 + 183q-7 + 156q-13/2 + 177q-6 + 102q-11/2 + 47q-5 + 4q-9/2 - 72q-4 - 67q-7/2 - 101q-3 - 69q-5/2 - 56q-2 - 31q-3/2 - 12q-1 - 9q-1/2 - 1 - q1/2 + q3/2
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (- s-2 + s-1) t-2 + (- s-3 + s-2 + s-1 - 1) t-1 + (s-3 + s-2 - 2s-1) + (- s-2 + 1) t
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- 4.14, 4.22, 4.84
- Self linking number
- -2