Virtual Knot 4.71
- 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-U3+O4+O3+U2-U4+
- PD presentation
- PD[X[2,8,3,1], X[6,1,7,2], X[3,6,4,5], X[7,5,8,4]]
- Jones polynomial
- - q-3/2 - q-1 + q-1/2 + 3 + q1/2 - q1 - q3/2
- Other virtual knots (up to mirrors) with the same Jones polynomial
- 4.2, 4.6, 4.8, 4.12, 4.17, 4.32, 4.51, 4.58, 4.75
- Cabled Jones polynomials
- - q-11/2 + 2q-7/2 + 7q-5/2 - 9q-1/2 - 9q1/2 + 7q5/2 + 2q7/2 - q11/2
- - q-23/2 + 2q-21/2 - 2q-19/2 - 2q-9 + 5q-8 + q-15/2 - 3q-7 - q-13/2 - 9q-6 - 18q-11/2 - 49q-5 - 63q-9/2 - 66q-4 - 76q-7/2 - 56q-3 - 45q-5/2 + 10q-2 + 57q-3/2 + 101q-1 + 146q-1/2 + 142 + 146q1/2 + 101q1 + 57q3/2 + 10q2 - 45q5/2 - 56q3 - 76q7/2 - 66q4 - 63q9/2 - 49q5 - 18q11/2 - 9q6 - q13/2 - 3q7 + q15/2 + 5q8 - 2q9 - 2q19/2 + 2q21/2 - q23/2
- 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, 4.41, 4.55, 4.56, 4.58, 4.59, 4.68, 4.72, 4.75, 4.76, 4.77, 4.90, 4.98, 4.99, 4.105, 4.108
- Self linking number
- 0