Virtual Knot 4.28
- 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+U4+U3+
- PD presentation
- PD[X[2,8,3,1], X[5,2,6,1], X[7,4,8,3], X[6,5,7,4]]
- Jones polynomial
- q1 + q3/2 - q5/2
- Other virtual knots (up to mirrors) with the same Jones polynomial
- 2.1, 3.3, 4.4, 4.5, 4.11, 4.18, 4.30, 4.33, 4.38, 4.39, 4.44, 4.45, 4.49, 4.54, 4.62, 4.63, 4.74, 4.83, 4.95, 4.101
- Cabled Jones polynomials
- q1/2 + 2q3/2 - 4q5/2 - 5q7/2 - q9/2 + 3q11/2 + 3q13/2 - q15/2
- 3q-1/2 + 3 - 2q1/2 - 3q1 - 16q3/2 - 22q2 - 46q5/2 - 54q3 - 46q7/2 - 42q4 + 2q9/2 + 10q5 + 61q11/2 + 80q6 + 93q13/2 + 95q7 + 50q15/2 + 47q8 - 2q17/2 - 11q9 - 38q19/2 - 40q10 - 33q21/2 - 33q11 - 18q23/2 - 19q12 - 7q25/2 - 6q13 - q14 - q29/2
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (s-1 - 1) t-1 + (- s + s2) t + (- s-1 + s) t2 + (1 - s2) t3
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- none
- Self linking number
- 2