Virtual Knot 4.24
- 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+U2+U3+U4+
- PD presentation
- PD[X[2,8,3,1], X[5,2,6,1], X[6,4,7,3], X[7,5,8,4]]
- Jones polynomial
- - q1/2 + q1 + 2q3/2 + q2 - q5/2 - q3
- Other virtual knots (up to mirrors) with the same Jones polynomial
- 4.10, 4.16, 4.21, 4.31, 4.36, 4.50, 4.57, 4.68, 4.70
- Cabled Jones polynomials
- q1/2 + 5q3/2 - 3q5/2 - 8q7/2 - 6q9/2 + 2q11/2 + 7q13/2 + q15/2 - q19/2
- 1 - 2q1/2 + 7q1 + 6q3/2 - 7q2 - 20q5/2 - 55q3 - 51q7/2 - 98q4 - 77q9/2 - 93q5 - 55q11/2 + 19q6 + 53q13/2 + 157q7 + 133q15/2 + 208q8 + 153q17/2 + 117q9 + 52q19/2 - 32q10 - 40q21/2 - 99q11 - 75q23/2 - 88q12 - 59q25/2 - 29q13 - 14q27/2 - 3q14 - 6q29/2 + 4q31/2 - 2q33/2 - 2q17 + 2q18 - q19
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (1 - s) t-1 + (s-1 - 2s + s2) + (- 2 + s + s2) t + (- s-1 + 2s - s2) t2 + (1 - s2) t3
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- 4.66
- Self linking number
- 0