Virtual Knot 4.46
- 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+U2-O4+U3+
- PD presentation
- PD[X[2,8,3,1], X[5,1,6,2], X[7,4,8,3], X[4,7,5,6]]
- Jones polynomial
- 1
- Other virtual knots (up to mirrors) with the same Jones polynomial
- 0.1, 3.1, 3.7, 4.13, 4.19, 4.26, 4.35, 4.42, 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-9/2 - q-7/2 + 2q-5/2 + 3q-3/2 - q-1/2 - 4q1/2 - 2q3/2 + q5/2 + q7/2
- - q-21/2 + q-19/2 + 3q-17/2 - 2q-8 - q-15/2 - 7q-7 - 15q-13/2 - 6q-6 - 15q-11/2 + 11q-5 + 21q-9/2 + 35q-4 + 56q-7/2 + 31q-3 + 34q-5/2 - 17q-2 - 47q-3/2 - 63q-1 - 88q-1/2 - 54 - 39q1/2 + 8q1 + 38q3/2 + 47q2 + 60q5/2 + 44q3 + 24q7/2 + 6q4 - 8q9/2 - 10q5 - 14q11/2 - 14q6 - 7q13/2 - 5q7 - 2q15/2 - q8 + q9
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (s-2 - s-1) t-2 + (- s-2 - s-1 + 2) t-1 + (2s-1 - 1 - s) + (- 1 + s) t
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- 4.6, 4.13, 4.31, 4.51
- Self linking number
- 0