Virtual Knot 2.1
- 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 equivalent to its inverse.
- Gauss code
- O1-O2-U1-U2-
- PD presentation
- PD[X[2,4,3,1], X[3,1,4,2]]
- Jones polynomial
- - q-5/2 + q-3/2 + q-1
- Other virtual knots (up to mirrors) with the same Jones polynomial
- 3.3, 4.4, 4.5, 4.11, 4.18, 4.28, 4.30, 4.33, 4.38, 4.39, 4.44, 4.45, 4.49, 4.54, 4.62, 4.63, 4.74, 4.83, 4.95, 4.101
- Cabled Jones polynomials
- - q-15/2 + q-13/2 + q-11/2 + q-9/2 - q-7/2 - 2q-5/2 - q-1/2
- - q-29/2 + q-27/2 - q-25/2 + q-23/2 + 3q-11 + 2q-21/2 + q-10 - q-19/2 - 3q-9 - 2q-17/2 - 4q-8 - 4q-15/2 + 2q-13/2 + 3q-6 + q-11/2 + q-5 + 2q-9/2 + q-4 - q-3 - 2q-5/2 + q-2 + 2q-3/2 + 2q-1
- - q-47/2 + q-45/2 - q-43/2 + q-41/2 + 3q-39/2 + 3q-37/2 + q-35/2 - 9q-33/2 - 8q-31/2 - 5q-29/2 + 6q-27/2 + 10q-25/2 + 8q-23/2 + q-21/2 - 3q-19/2 - 2q-17/2 - 6q-15/2 + q-13/2 + q-11/2 + 3q-9/2 - 3q-7/2 - 6q-5/2 - q-3/2 - 2q-1/2
- - q-69/2 + q-67/2 - q-65/2 + q-63/2 - q-61/2 + q-59/2 + 5q-29 + 4q-57/2 + 3q-28 - q-55/2 - q-27 - 5q-26 - 5q-51/2 - 11q-25 - 10q-49/2 - 10q-24 - 6q-47/2 + 2q-45/2 + 13q-22 + 13q-43/2 + 18q-21 + 15q-41/2 + 13q-20 + 11q-39/2 + q-19 - 2q-37/2 - 11q-18 - 11q-35/2 - 14q-17 - 14q-33/2 - 9q-16 - 8q-31/2 - 2q-15 - 5q-29/2 + 2q-14 + 6q-27/2 + 2q-13 + 3q-12 + 7q-23/2 + 14q-11 + 10q-21/2 + 6q-10 - 4q-19/2 - 12q-9 - 8q-17/2 - 15q-8 - 14q-15/2 + q-7 + 8q-13/2 + 11q-6 + 4q-11/2 + 5q-5 + 8q-9/2 + 3q-4 - 3q-3 - 5q-5/2 + 4q-2 + 5q-3/2 + 5q-1
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (- s-2 + s-1) t-2 + (s-2 - 1) t-1 + (- s-1 + 1)
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- 3.2, 3.4, 4.18, 4.20, 4.27, 4.33, 4.34, 4.38, 4.40, 4.44, 4.49, 4.52, 4.60, 4.88, 4.94
- Self linking number
- -2