Virtual Knot 4.27
- 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[7,3,8,4], X[6,4,7,5]]
- Jones polynomial
- q-2 - q-1 - q-1/2 + 1 + q1/2
- Other virtual knots (up to mirrors) with the same Jones polynomial
- 3.2, 3.4, 4.81, 4.84, 4.88, 4.104
- Cabled Jones polynomials
- q-15/2 - q-11/2 - 2q-9/2 + q-5/2 + q-3/2 - q1/2 - q5/2
- q-33/2 - q-31/2 - 2q-15 - 5q-29/2 - 5q-14 - 16q-27/2 - 18q-13 - 13q-25/2 - 9q-12 + 16q-23/2 + 24q-11 + 54q-21/2 + 66q-10 + 48q-19/2 + 40q-9 - 18q-17/2 - 40q-8 - 78q-15/2 - 92q-7 - 60q-13/2 - 42q-6 + 13q-11/2 + 32q-5 + 47q-9/2 + 51q-4 + 30q-7/2 + 16q-3 - 3q-5/2 - 7q-2 - 8q-3/2 - 8q-1 - 8q-1/2 - 3 - 2q1/2 + 2q3/2 - q2 + 2q3 + 2q7/2 - 2q9/2 + q11/2
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (- s-3 + s-2) t-3 + (s-3 - s-1) t-2 + (- s-2 + s-1) t-1
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- 2.1, 3.2, 3.4, 4.18, 4.20, 4.33, 4.34, 4.38, 4.40, 4.44, 4.49, 4.52, 4.60, 4.88, 4.94
- Self linking number
- -2