Virtual Knot 4.72
- 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[6,2,7,1], X[3,6,4,5], X[7,4,8,5]]
- Jones polynomial
- 1
- Other virtual knots (up to mirrors) with the same Jones polynomial
- 0.1, 3.1, 3.7, 4.13, 4.19, 4.26, 4.35, 4.42, 4.46, 4.47, 4.55, 4.56, 4.59, 4.66, 4.67, 4.76, 4.77, 4.85, 4.93, 4.96, 4.97, 4.98, 4.102, 4.103, 4.106, 4.107
- Cabled Jones polynomials
- 2q-7/2 + 4q-5/2 - 7q-1/2 - 7q1/2 + 4q5/2 + 2q7/2
- 2q-9 - 2q-8 - 4q-15/2 - 12q-7 - 19q-13/2 - 42q-6 - 60q-11/2 - 77q-5 - 105q-9/2 - 108q-4 - 108q-7/2 - 59q-3 - 15q-5/2 + 39q-2 + 109q-3/2 + 161q-1 + 202q-1/2 + 200 + 202q1/2 + 161q1 + 109q3/2 + 39q2 - 15q5/2 - 59q3 - 108q7/2 - 108q4 - 105q9/2 - 77q5 - 60q11/2 - 42q6 - 19q13/2 - 12q7 - 4q15/2 - 2q8 + 2q9
- 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, 4.71, 4.75, 4.76, 4.77, 4.90, 4.98, 4.99, 4.105, 4.108
- Self linking number
- 0