Virtual Knot 4.49
- 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-U4+U3-U2-O4+
- PD presentation
- PD[X[2,8,3,1], X[6,1,7,2], X[5,3,6,4], X[4,8,5,7]]
- Jones polynomial
- - q-5/2 + q-3/2 + q-1
- Other virtual knots (up to mirrors) with the same Jones polynomial
- 2.1, 3.3, 4.4, 4.5, 4.11, 4.18, 4.28, 4.30, 4.33, 4.38, 4.39, 4.44, 4.45, 4.54, 4.62, 4.63, 4.74, 4.83, 4.95, 4.101
- Cabled Jones polynomials
- q-15/2 + 4q-13/2 - 4q-9/2 - 5q-7/2 - q-5/2 + 3q-3/2
- q-33/2 - q-31/2 - 2q-15 - 10q-29/2 - 14q-14 - 30q-27/2 - 49q-13 - 59q-25/2 - 93q-12 - 88q-23/2 - 113q-11 - 79q-21/2 - 62q-10 - 19q-19/2 + 69q-9 + 120q-17/2 + 209q-8 + 203q-15/2 + 245q-7 + 197q-13/2 + 144q-6 + 66q-11/2 - 15q-5 - 50q-9/2 - 112q-4 - 105q-7/2 - 115q-3 - 89q-5/2 - 66q-2 - 44q-3/2 - 18q-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-2 - s-1) t-3 + (- s-2 + 1) t-2 + (s-1 - 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, 4.27, 4.33, 4.34, 4.38, 4.40, 4.44, 4.52, 4.60, 4.88, 4.94
- Self linking number
- -2