Virtual Knot 4.13
- 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-U2+O4+U3-U4+
- PD presentation
- PD[X[2,8,3,1], X[4,2,5,1], X[6,3,7,4], X[7,6,8,5]]
- Jones polynomial
- 1
- Other virtual knots (up to mirrors) with the same Jones polynomial
- 0.1, 3.1, 3.7, 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-7/2 + 2q-5/2 - 4q-1/2 - 4q1/2 + 2q5/2 + q7/2
- 2q-9 - 2q-8 - 4q-15/2 - 12q-7 - 23q-13/2 - 44q-6 - 65q-11/2 - 79q-5 - 110q-9/2 - 125q-4 - 123q-7/2 - 100q-3 - 39q-5/2 + 15q-2 + 114q-3/2 + 204q-1 + 250q-1/2 + 286 + 250q1/2 + 204q1 + 114q3/2 + 15q2 - 39q5/2 - 100q3 - 123q7/2 - 125q4 - 110q9/2 - 79q5 - 65q11/2 - 44q6 - 23q13/2 - 12q7 - 4q15/2 - 2q8 + 2q9
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (- s-2 + s-1) t-1 + (s-2 + s-1 - 2) + (- 2s-1 + 1 + s) t + (1 - s) t2
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- 4.6, 4.31, 4.46, 4.51
- Self linking number
- 0