Virtual Knot 3.2
- 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-O3-U2+U3-
- PD presentation
- PD[X[2,6,3,1], X[4,2,5,1], X[5,3,6,4]]
- Jones polynomial
- q-2 - q-1 - q-1/2 + 1 + q1/2
- Other virtual knots (up to mirrors) with the same Jones polynomial
- 3.4, 4.27, 4.81, 4.84, 4.88, 4.104
- Cabled Jones polynomials
- - q-13/2 + q-11/2 + q-9/2 - 2q-5/2 - q-3/2 + q-1/2 - q5/2
- q-13 - q-12 + q-11 - q-10 - 3q-19/2 - q-9 - q-17/2 + 3q-15/2 + 3q-7 + 7q-13/2 + 6q-6 - q-11/2 - 4q-5 - 10q-9/2 - 8q-4 - 4q-7/2 - 2q-3 + 6q-5/2 + 9q-2 + 8q-3/2 + 4q-1 - 5q-1/2 - 2 - 2q1/2 - 2q1 + q3/2 - q2 + q5/2 + 2q3 + q7/2 - 2q9/2 + q11/2
- - q-43/2 + q-41/2 - q-39/2 + q-37/2 + 3q-35/2 + 2q-33/2 + 2q-31/2 - 10q-29/2 - 11q-27/2 - 6q-25/2 + 10q-23/2 + 27q-21/2 + 15q-19/2 - 6q-17/2 - 31q-15/2 - 28q-13/2 + 3q-11/2 + 22q-9/2 + 24q-7/2 - q-5/2 - 10q-3/2 - 8q-1/2 - 6q1/2 - 3q5/2 + 5q7/2 + q9/2 - q11/2 - q13/2 - q15/2 + 2q17/2 - q19/2
- 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
- 2.1, 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