Virtual Knot 4.103
- 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 not equivalent to its inverse.
- Gauss code
- O1-O2-U3-O4+U2-U1-O3-U4+
- PD presentation
- PD[X[5,8,6,1], X[4,1,5,2], X[2,6,3,7], 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, 4.102, 4.106, 4.107
- Cabled Jones polynomials
- q-15/2 + 3q-13/2 - q-11/2 - 5q-9/2 - 2q-7/2 + 2q-5/2 + 3q-3/2 - 2q-1/2 - 2q1/2 + q3/2
- q-33/2 - q-31/2 - 2q-15 - 5q-29/2 - 14q-14 - 28q-27/2 - 43q-13 - 58q-25/2 - 55q-12 - 82q-23/2 - 29q-11 - 31q-21/2 + 61q-10 + 85q-19/2 + 115q-9 + 182q-17/2 + 98q-8 + 149q-15/2 + 12q-7 + 9q-13/2 - 55q-6 - 98q-11/2 - 53q-5 - 96q-9/2 - 36q-4 - 38q-7/2 - 9q-3 + 3q-5/2 + q-2 + 5q-3/2 + 8q-1 + 3q-1/2 + 10 - 3q1 - q2 - 2q3 + q4
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (- s-3 + 1) t-3 + (s-2 - s) t-2 + (s-3 - s-2) t-1 + (s-1 - 1) + (- s-1 + s) t
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- none
- Self linking number
- 0