Virtual Knot 4.36
- 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 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[5,4,6,3], 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, 4.24, 4.31, 4.50, 4.57, 4.68, 4.70
- Cabled Jones polynomials
- - q1/2 + 2q3/2 - 2q5/2 - 3q7/2 - 2q9/2 + q11/2 + 4q13/2 - q19/2
- - 3q1/2 + 3q1 + 5q3/2 + 4q2 - 3q5/2 - 4q3 - q7/2 - q4 - 6q5 - 5q11/2 + 3q6 + 9q13/2 + 13q7 + 7q15/2 + 11q8 + 7q17/2 - 6q9 - 12q19/2 - 19q10 - 12q21/2 - 7q11 - 2q23/2 + 4q12 + 4q25/2 + 10q13 + 8q27/2 + 3q14 - 3q15 - q16 - 2q33/2 - q17 + 2q18 - q19
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (1 - s) t-1 + (1 - 2s + s2) + (- 1 + s2) t + (- 1 + 2s - s2) t2 + (s - s2) t3
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- 4.21, 4.65
- Self linking number
- 0