Virtual Knot 4.88
- 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-U2+U3+O4-
- PD presentation
- PD[X[3,8,4,1], X[5,2,6,1], X[6,3,7,2], X[4,7,5,8]]
- 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, 4.104
- Cabled Jones polynomials
- 3q-7/2 + 2q-5/2 - 5q-3/2 - 7q-1/2 + q1/2 + 5q3/2 + q5/2 - 3q7/2 + 2q11/2 - q13/2
- q-9 - q-8 - q-15/2 - 8q-7 - 11q-13/2 - 33q-6 - 61q-11/2 - 66q-5 - 106q-9/2 - 50q-4 - 62q-7/2 + 40q-3 + 97q-5/2 + 133q-2 + 217q-3/2 + 128q-1 + 159q-1/2 + 13 - 19q1/2 - 68q1 - 107q3/2 - 62q2 - 78q5/2 - 20q3 - 18q7/2 - 7q9/2 - 9q5 - 7q11/2 + 3q6 + q13/2 + q7 + 4q15/2 + 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 - s-1) + (- s-2 + 1) t + (s-1 - 1) t2
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- 2.1, 3.2, 3.4, 4.18, 4.20, 4.27, 4.33, 4.34, 4.38, 4.40, 4.44, 4.49, 4.52, 4.60, 4.94
- Self linking number
- 2