Virtual Knot 4.104
- 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 equivalent to its inverse.
- Gauss code
- O1-O2-U3+O4+U2-U1-O3+U4+
- PD presentation
- PD[X[5,8,6,1], X[4,1,5,2], X[2,7,3,6], X[7,4,8,3]]
- Jones polynomial
- q-1/2 + 1 - q1/2 - q1 + q2
- Other virtual knots (up to mirrors) with the same Jones polynomial
- 3.2, 3.4, 4.27, 4.81, 4.84, 4.88
- Cabled Jones polynomials
- 2q-7/2 - q-5/2 - 4q-3/2 - 2q-1/2 + 3q1/2 + 3q3/2 - 2q5/2 - 2q7/2 + q9/2 + q11/2 - q13/2
- q-15/2 + q-7 + 3q-13/2 - 3q-11/2 - 6q-5 - 15q-9/2 - 5q-4 - 6q-7/2 + 8q-3 + 22q-5/2 + 20q-2 + 35q-3/2 + 5q-1 - 4q-1/2 - 23 - 47q1/2 - 23q1 - 23q3/2 + 11q2 + 26q5/2 + 24q3 + 31q7/2 + 3q4 - 5q9/2 - 12q5 - 18q11/2 - 5q6 - 3q13/2 + 4q7 + 7q15/2 + 3q8 + 2q17/2 - q9 - 3q19/2 - q10 + q11 - q12 + q13
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (s-2 - s) t-2 + (- s-1 + s2) t-1 + (- s-2 + s) t + (s-1 - s2) t2
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- 4.92, 4.95
- Self linking number
- 2