Virtual Knot 4.42
- 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+U3+O4-
- PD presentation
- PD[X[2,8,3,1], X[5,2,6,1], X[6,4,7,3], X[4,7,5,8]]
- 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, 4.46, 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
- 2q-7/2 + 3q-5/2 - q-3/2 - 6q-1/2 - 5q1/2 + q3/2 + 3q5/2 + q7/2
- 3q-8 + 3q-15/2 - 2q-7 - 5q-13/2 - 21q-6 - 20q-11/2 - 49q-5 - 43q-9/2 - 69q-4 - 55q-7/2 - 49q-3 - 34q-5/2 + 9q-2 + 19q-3/2 + 98q-1 + 94q-1/2 + 145 + 119q1/2 + 111q1 + 73q3/2 + 18q2 - 2q5/2 - 51q3 - 54q7/2 - 67q4 - 49q9/2 - 43q5 - 32q11/2 - 23q6 - 11q13/2 - 6q7 - 3q15/2 - q8 + q9
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (s-2 - s-1) t-1 + (- s-1 + 1) + (- s-2 + s-1) t + (s-1 - 1) 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, 4.50, 4.57, 4.67, 4.70, 4.79
- Self linking number
- 0