Virtual Knot 4.6
- 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-U2-O3+U4+U3+O4+
- PD presentation
- PD[X[2,8,3,1], X[3,1,4,2], X[6,5,7,4], X[5,8,6,7]]
- Jones polynomial
- - q-3/2 - q-1 + q-1/2 + 3 + q1/2 - q1 - q3/2
- Other virtual knots (up to mirrors) with the same Jones polynomial
- 4.2, 4.8, 4.12, 4.17, 4.32, 4.51, 4.58, 4.71, 4.75
- Cabled Jones polynomials
- - q-11/2 + q-7/2 + 5q-5/2 - 6q-1/2 - 6q1/2 + 5q5/2 + q7/2 - q11/2
- - q-23/2 + 2q-21/2 - 2q-19/2 - 2q-9 + 4q-8 - 3q-7 - 4q-6 - 8q-11/2 - 24q-5 - 26q-9/2 - 8q-4 + q-7/2 + 26q-3 + 39q-5/2 + 60q-2 + 73q-3/2 + 44q-1 + 16q-1/2 - 31 - 61q1/2 - 76q1 - 90q3/2 - 54q2 - 21q5/2 + 22q3 + 45q7/2 + 42q4 + 42q9/2 + 21q5 + 12q11/2 - q6 - 11q13/2 - 8q7 - 9q15/2 - 2q8 - 2q17/2 - 2q9 + 2q21/2 - q23/2
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (- s-1 + 1) t-2 + (s-1 + 1 - 2s) t-1 + (- 2 + s + s2) + (s - s2) t
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- 4.13, 4.31, 4.46, 4.51
- Self linking number
- 0