Virtual Knot 4.102
- 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 equivalent to each other.
- This virtual knot is equivalent to its inverse.
- Gauss code
- O1-O2-U3+O4+U1-U2-O3+U4+
- PD presentation
- PD[X[4,8,5,1], X[5,1,6,2], X[2,7,3,6], X[7,4,8,3]]
- Jones polynomial
- 1
- Other virtual knots (up to mirrors) with the same Jones polynomial
- 0.1, 3.1, 3.7, 4.13, 4.19, 4.26, 4.35, 4.42, 4.46, 4.47, 4.55, 4.56, 4.59, 4.66, 4.67, 4.72, 4.76, 4.77, 4.85, 4.93, 4.96, 4.97, 4.98, 4.103, 4.106, 4.107
- Cabled Jones polynomials
- 2q-7/2 - 4q-3/2 - 3q-1/2 + q1/2 + 4q3/2 - 2q7/2
- 3q-8 + 3q-15/2 + q-7 - 2q-13/2 - 8q-6 - 6q-11/2 - 12q-5 - 8q-9/2 + q-4 + 7q-7/2 + 26q-3 + 19q-5/2 + 22q-2 + 9q-3/2 - 12q-1 - 16q-1/2 - 34 - 20q1/2 - 14q1 - q3/2 + 22q2 + 17q5/2 + 22q3 + 5q7/2 - q4 - 4q9/2 - 12q5 - 6q11/2 - 4q6 + 2q13/2 + 3q7 + q15/2 + q8
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (s-1 - s) t-2 + (s-2 - 2 + s2) t-1 + (- 2s-1 + 2s) + (- s-2 + 2 - s2) t + (s-1 - s) t2
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- none
- Self linking number
- 0