Virtual Knot 4.84
- 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+O3+U1-O4-U2+U3+U4-
- PD presentation
- PD[X[3,8,4,1], X[5,2,6,1], X[6,3,7,2], X[7,4,8,5]]
- 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, 4.88, 4.104
- Cabled Jones polynomials
- q-7/2 - 3q-3/2 - 3q-1/2 + 3q1/2 + 3q3/2 - q5/2 - 3q7/2 + 2q11/2 - q13/2
- q-9 - q-8 - 2q-15/2 - 5q-7 - 5q-13/2 - 15q-6 - 17q-11/2 - 14q-5 - 14q-9/2 + 11q-4 + 24q-7/2 + 56q-3 + 72q-5/2 + 50q-2 + 47q-3/2 - 10q-1 - 42q-1/2 - 77 - 106q1/2 - 59q1 - 45q3/2 + 14q2 + 40q5/2 + 43q3 + 60q7/2 + 25q4 + 13q9/2 - 11q5 - 16q11/2 - 4q6 - 9q13/2 - 2q7 + q15/2 + 3q8 + 2q17/2 - 3q19/2 - 2q10 + 2q11 - 2q12 + q13
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (- s-2 + 1) t-2 + (2s-1 - 1 - s) t-1 + (s-2 - s-1 - 1 + s) + (- s-1 + 1) t
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- 4.14, 4.22, 4.39
- Self linking number
- 2