Virtual Knot 4.108

This virtual knot is equivalent to its vertical mirror image.
This virtual knot is equivalent to its horizontal mirror image.
This virtual knot is equivalent to its inverse.
Gauss code
O1-U2+O3+U1-O4-U3+O2+U4-
PD presentation
PD[X[3,8,4,1], X[1,7,2,6], X[5,3,6,2], X[7,4,8,5]]
Jones polynomial
q-2 - q-1 + 1 - q1 + q2
Other virtual knots (up to mirrors) with the same Jones polynomial
4.86, 4.90, 4.99
Cabled Jones polynomials
  1. - q-13/2 + q-11/2 - q-1/2 - q1/2 + q11/2 - q13/2
  2. q-13 - q-12 - q-10 + q-9 + q-5 + 2q-2 - 2q-1 + 2 - 2q1 + 2q2 + q5 + q9 - q10 - q12 + q13
Other virtual knots (up to mirrors) with the same cabled Jones polynomials
none
Generalized Alexander polynomial
0
Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
0.1, 3.6, 4.8, 4.16, 4.41, 4.55, 4.56, 4.58, 4.59, 4.68, 4.71, 4.72, 4.75, 4.76, 4.77, 4.90, 4.98, 4.99, 4.105
Self linking number
0