Virtual Knot 4.34
- 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-O4+U3-U2+U4+
- PD presentation
- PD[X[2,8,3,1], X[6,2,7,1], X[5,3,6,4], X[7,5,8,4]]
- Jones polynomial
- - q-3/2 + q-1/2 + 2 - q1
- Other virtual knots (up to mirrors) with the same Jones polynomial
- 4.14, 4.20, 4.22, 4.40, 4.52, 4.60, 4.64
- Cabled Jones polynomials
- - q-11/2 + 2q-9/2 + 3q-7/2 + q-5/2 - 3q-3/2 - 5q-1/2 - 2q1/2 + q5/2 + q7/2 + q9/2
- - q-23/2 + 2q-21/2 - 2q-19/2 + 2q-17/2 + 7q-8 + 3q-15/2 - 4q-7 - 7q-13/2 - 33q-6 - 40q-11/2 - 87q-5 - 102q-9/2 - 130q-4 - 131q-7/2 - 100q-3 - 74q-5/2 + 14q-2 + 67q-3/2 + 183q-1 + 232q-1/2 + 274 + 252q1/2 + 202q1 + 140q3/2 + 40q2 - 32q5/2 - 103q3 - 124q7/2 - 133q4 - 109q9/2 - 88q5 - 57q11/2 - 36q6 - 15q13/2 - 4q7 - 4q15/2 + 3q9 - q10
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (s-2 - s-1) t-1 + (- s-2 + 1) + (s-1 - 1) t
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- 2.1, 3.2, 3.4, 4.18, 4.20, 4.27, 4.33, 4.38, 4.40, 4.44, 4.49, 4.52, 4.60, 4.88, 4.94
- Self linking number
- -2