Virtual Knot 4.81
- 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+U1-U3-U4-U2+O4-O3-
- PD presentation
- PD[X[2,8,3,1], X[5,2,6,1], X[3,7,4,8], X[4,6,5,7]]
- 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, 4.27, 4.84, 4.88, 4.104
- Cabled Jones polynomials
- 3q-15/2 + 2q-13/2 - 3q-11/2 - 6q-9/2 - 2q-7/2 + 3q-5/2 + 3q-3/2 - q1/2 - q5/2
- q-33/2 - q-31/2 - 4q-15 - 6q-29/2 - 6q-14 - 24q-27/2 - 33q-13 - 45q-25/2 - 46q-12 - 40q-23/2 - 39q-11 + 12q-21/2 + 35q-10 + 82q-19/2 + 93q-9 + 100q-17/2 + 99q-8 + 47q-15/2 + 29q-7 - 32q-13/2 - 33q-6 - 55q-11/2 - 50q-5 - 38q-9/2 - 34q-4 - 3q-7/2 - 10q-3 + 4q-5/2 + 2q-3/2 + 2q-1 - 5q-1/2 - 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-2 + (- s-3 + 1) + (s-2 - 1) t
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- 3.3
- Self linking number
- -2