Virtual Knot 4.96
- 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-U3+U1-O4-U2-O3+U4-
- PD presentation
- PD[X[3,8,4,1], X[5,1,6,2], X[2,7,3,6], X[7,4,8,5]]
- 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, 4.97, 4.98, 4.102, 4.103, 4.106, 4.107
- Cabled Jones polynomials
- q-15/2 + q-13/2 - 3q-11/2 - 3q-9/2 + 2q-7/2 + 4q-5/2 + q-3/2 - 4q-1/2 - 2q1/2 + q3/2
- q-33/2 - q-31/2 - 2q-15 - 5q-29/2 - 7q-14 - 15q-27/2 - 15q-13 - 9q-25/2 - 3q-12 + 10q-23/2 + 24q-11 + 43q-21/2 + 52q-10 + 42q-19/2 + 24q-9 + 2q-17/2 - 36q-8 - 54q-15/2 - 63q-7 - 59q-13/2 - 27q-6 - 11q-11/2 + 29q-5 + 31q-9/2 + 23q-4 + 30q-7/2 + 5q-3 + 7q-5/2 - 7q-2 - 6q-3/2 + 5q-1 - 3q-1/2 + 7 - 3q1/2 - 3q1 - q2 - 2q3 + q4
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (- s-3 + s-1) t-3 + (s-2 - 1) t-2 + (s-3 - s-1) t-1 + (- s-2 + 1)
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- 3.5, 3.7, 4.47, 4.85, 4.86, 4.106
- Self linking number
- 0