Virtual Knot 4.79
- 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-U3-U4-U2+O3-O4-
- PD presentation
- PD[X[2,8,3,1], X[5,2,6,1], X[3,6,4,7], X[4,7,5,8]]
- Jones polynomial
- q-7/2 - 2q-5/2 - q-2 + q-3/2 + 2q-1
- Other virtual knots (up to mirrors) with the same Jones polynomial
- 4.23, 4.41, 4.65
- Cabled Jones polynomials
- - q-21/2 + 2q-19/2 - q-15/2 + 3q-13/2 + q-11/2 - q-9/2 - 6q-7/2 - 2q-5/2 + 3q-3/2
- q-41/2 - 2q-39/2 + 2q-37/2 - 2q-35/2 - 3q-17 + 2q-16 + q-31/2 + 4q-15 - 2q-29/2 + q-14 + 2q-27/2 - 7q-13 - 4q-25/2 - 21q-12 - 7q-23/2 - 54q-11 - 54q-21/2 - 100q-10 - 92q-19/2 - 72q-9 - 56q-17/2 + 52q-8 + 65q-15/2 + 189q-7 + 168q-13/2 + 190q-6 + 146q-11/2 + 69q-5 + 36q-9/2 - 63q-4 - 59q-7/2 - 98q-3 - 84q-5/2 - 67q-2 - 46q-3/2 - 14q-1 - 13q-1/2 - 4 - 2q1/2 + 2q3/2
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (s-3 - s-2) t-2 + (- s-2 + s-1) t-1 + (- s-3 + s-2) + (s-2 - s-1) t
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- 3.1, 4.10, 4.17, 4.19, 4.23, 4.32, 4.35, 4.42, 4.50, 4.57, 4.67, 4.70
- Self linking number
- 0