Virtual Knot 4.90
- 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 equivalent to each other.
- This virtual knot is not equivalent to its inverse.
- Gauss code
- O1-O2+O3+U1-U4-U3+U2+O4-
- PD presentation
- PD[X[3,8,4,1], X[6,2,7,1], X[5,3,6,2], X[4,7,5,8]]
- Jones polynomial
- q-2 - q-1 + 1 - q1 + q2
- Other virtual knots (up to mirrors) with the same Jones polynomial
- 4.86, 4.99, 4.108
- Cabled Jones polynomials
- - q-13/2 + 2q-11/2 - 2q-9/2 - q-7/2 + 7q-5/2 + 2q-3/2 - 8q-1/2 - 8q1/2 + 2q3/2 + 7q5/2 - q7/2 - 2q9/2 + 2q11/2 - q13/2
- q-13 - 2q-12 + 2q-11 - 2q-10 + 3q-9 - 2q-8 - 8q-7 + 3q-6 + 45q-5 + 121q-4 + 128q-3 + 14q-2 - 170q-1 - 262 - 170q1 + 14q2 + 128q3 + 121q4 + 45q5 + 3q6 - 8q7 - 2q8 + 3q9 - 2q10 + 2q11 - 2q12 + 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, 4.98, 4.99, 4.105, 4.108
- Self linking number
- 0