Virtual Knot 4.67

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-U3+O4-U2+O3+U4-
PD presentation
PD[X[2,8,3,1], X[5,2,6,1], X[3,7,4,6], X[7,4,8,5]]
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, 4.46, 4.47, 4.55, 4.56, 4.59, 4.66, 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
1. - q-9/2 + 3q-5/2 + 2q-3/2 - 3q-1/2 - 5q1/2 - q3/2 + 2q5/2 + q7/2
2. - q-21/2 + q-19/2 + 3q-17/2 - 2q-8 - q-15/2 - 2q-7 - 8q-13/2 + 8q-6 - q-11/2 + 33q-5 + 42q-9/2 + 32q-4 + 34q-7/2 - 39q-3 - 46q-5/2 - 122q-2 - 138q-3/2 - 109q-1 - 95q-1/2 + 22 + 63q1/2 + 142q1 + 155q3/2 + 130q2 + 115q5/2 + 47q3 + q7/2 - 38q4 - 53q9/2 - 48q5 - 47q11/2 - 38q6 - 20q13/2 - 12q7 - 4q15/2 - 2q8 + 2q9
Other virtual knots (up to mirrors) with the same cabled Jones polynomials
none
Generalized Alexander polynomial
(s-1 - 1) t-1 + (- 1 + s) + (- s-1 + 1) t + (1 - s) t2
Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
3.1, 4.10, 4.17, 4.19, 4.23, 4.32, 4.35, 4.42, 4.50, 4.57, 4.70, 4.79