Virtual Knot 4.101
- 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-U3-O4+U1-U2-O3-U4+
- PD presentation
- PD[X[4,8,5,1], X[5,1,6,2], X[2,6,3,7], X[7,4,8,3]]
- 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, 4.45, 4.49, 4.54, 4.62, 4.63, 4.74, 4.83, 4.95
- Cabled Jones polynomials
- - 3q-15/2 + q-13/2 + 5q-11/2 + 3q-9/2 - 3q-7/2 - 6q-5/2 + q-1/2
- 3q-16 + 3q-31/2 + q-15 - 3q-29/2 - 12q-14 - 9q-27/2 - 16q-13 - 7q-25/2 + 13q-12 + 20q-23/2 + 49q-11 + 31q-21/2 + 19q-10 - 10q-19/2 - 48q-9 - 38q-17/2 - 60q-8 - 30q-15/2 + q-7 + 23q-13/2 + 49q-6 + 26q-11/2 + 27q-5 + 9q-9/2 - 8q-4 - 10q-7/2 - 17q-3 - 8q-5/2 - 3q-2 + 2q-3/2 + 5q-1 + q-1/2 + 1
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (- s-2 + 1) t-3 + (- s-3 - s-2 + 3s-1 - s) t-2 + (3s-2 - 3) t-1 + (s-3 - 3s-1 + 1 + s) + (- s-2 + 1) t
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- none
- Self linking number
- -2