Virtual Knot 4.97
- 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-U3+U1-O4+U2-O3+U4+
- PD presentation
- PD[X[3,8,4,1], X[5,1,6,2], X[2,7,3,6], X[7,5,8,4]]
- 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, 4.72, 4.76, 4.77, 4.85, 4.93, 4.96, 4.98, 4.102, 4.103, 4.106, 4.107
- Cabled Jones polynomials
- 2q-7/2 + 2q-5/2 - 2q-3/2 - 5q-1/2 - 3q1/2 + 2q3/2 + 2q5/2
- q-15/2 + q-7 + 2q-13/2 - q-6 - 19q-11/2 - 23q-5 - 62q-9/2 - 53q-4 - 84q-7/2 - 54q-3 - 31q-5/2 + 2q-2 + 81q-3/2 + 86q-1 + 144q-1/2 + 106 + 111q1/2 + 65q1 + 22q3/2 - 12q2 - 43q5/2 - 44q3 - 56q7/2 - 43q4 - 42q9/2 - 21q5 - 19q11/2 - 5q6 - 5q13/2
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (s-2 - s) t-2 + (- 2s-1 + s + s2) t-1 + (- s-2 + s-1 + 1 - s2) + (s-1 - 1) t
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- none
- Self linking number
- 0