Virtual Knot 3.7
- 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-U2-O3+U1-O2-U3+
- PD presentation
- PD[X[3,6,4,1], X[1,4,2,5], X[5,3,6,2]]
- Jones polynomial
- 1
- Other virtual knots (up to mirrors) with the same Jones polynomial
- 0.1, 3.1, 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, 4.96, 4.97, 4.98, 4.102, 4.103, 4.106, 4.107
- Cabled Jones polynomials
- - q-11/2 + 2q-7/2 + q-5/2 - q-3/2 - 3q-1/2 - q1/2 + q3/2
- q-12 - 3q-10 - 4q-9 + 3q-8 + 13q-7 + 5q-6 - 10q-5 - 19q-4 - 3q-3 + 12q-2 + 12q-1 + 4 - 5q1 - 2q2 - q3 + q4
- - q-41/2 + 3q-37/2 + 4q-35/2 + q-33/2 - 17q-31/2 - 17q-29/2 + 2q-27/2 + 40q-25/2 + 52q-23/2 - 2q-21/2 - 59q-19/2 - 90q-17/2 - 28q-15/2 + 57q-13/2 + 89q-11/2 + 63q-9/2 - 15q-7/2 - 55q-5/2 - 57q-3/2 - 23q-1/2 + 18q1/2 + 23q3/2 + 13q5/2 - 2q7/2 - 5q9/2 - 2q11/2 - q13/2 + q15/2
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (- s-2 + 1) t-2 + (s-1 - s) t-1 + (s-2 - 1) + (- s-1 + s) t
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- 3.5, 4.47, 4.85, 4.86, 4.96, 4.106
- Self linking number
- 0