Virtual Knot 4.16
- 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-U2-U4+U3-O4+
- PD presentation
- PD[X[2,8,3,1], X[4,1,5,2], X[6,3,7,4], X[5,8,6,7]]
- Jones polynomial
- - q-3 - q-5/2 + q-2 + 2q-3/2 + q-1 - q-1/2
- Other virtual knots (up to mirrors) with the same Jones polynomial
- 4.10, 4.21, 4.24, 4.31, 4.36, 4.50, 4.57, 4.68, 4.70
- Cabled Jones polynomials
- - q-19/2 + q-17/2 + 3q-15/2 + 5q-13/2 - 2q-11/2 - 6q-9/2 - 5q-7/2 - q-5/2 + 3q-3/2 + q1/2
- - q-19 + 3q-18 - 3q-17 - 2q-33/2 + 6q-31/2 + 2q-15 - 5q-29/2 - 3q-14 - 28q-27/2 - 39q-13 - 85q-25/2 - 115q-12 - 130q-23/2 - 148q-11 - 108q-21/2 - 79q-10 + 9q-19/2 + 100q-9 + 194q-17/2 + 266q-8 + 277q-15/2 + 255q-7 + 198q-13/2 + 118q-6 + 31q-11/2 - 52q-5 - 104q-9/2 - 120q-4 - 124q-7/2 - 108q-3 - 93q-5/2 - 56q-2 - 32q-3/2 - 12q-1 - 6q-1/2 - 4 + 3q3/2 - q5/2
- 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, 4.41, 4.55, 4.56, 4.58, 4.59, 4.68, 4.71, 4.72, 4.75, 4.76, 4.77, 4.90, 4.98, 4.99, 4.105, 4.108
- Self linking number
- 0