Virtual Knot 4.41
- 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[5,2,6,1], X[6,3,7,4], X[4,7,5,8]]
- Jones polynomial
- q-7/2 - 2q-5/2 - q-2 + q-3/2 + 2q-1
- Other virtual knots (up to mirrors) with the same Jones polynomial
- 4.23, 4.65, 4.79
- Cabled Jones polynomials
- - q-21/2 + 2q-19/2 - 3q-15/2 + 2q-11/2 + 4q-9/2 - 2q-7/2 - 3q-5/2 - q-1/2
- q-41/2 - 2q-39/2 + 2q-37/2 - 2q-35/2 - 3q-17 + 5q-16 + 4q-31/2 + 2q-15 - 7q-29/2 - 16q-14 - 14q-27/2 - 18q-13 - 11q-25/2 + 22q-12 + 41q-23/2 + 73q-11 + 61q-21/2 + 27q-10 + 5q-19/2 - 63q-9 - 70q-17/2 - 100q-8 - 83q-15/2 - 30q-7 - 11q-13/2 + 50q-6 + 49q-11/2 + 61q-5 + 53q-9/2 + 25q-4 + 20q-7/2 - 10q-3 - 17q-5/2 - 17q-2 - 13q-3/2 - 2q-1 - 6q-1/2 - 2 - q1/2 + q3/2
- 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, 4.16, 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