Virtual Knot 4.60
- 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 equivalent to its inverse.
- Gauss code
- O1-O2+U1-U3+U2+U4-O3+O4-
- PD presentation
- PD[X[2,8,3,1], X[4,2,5,1], X[3,7,4,6], X[5,7,6,8]]
- Jones polynomial
- - q-3/2 + q-1/2 + 2 - q1
- Other virtual knots (up to mirrors) with the same Jones polynomial
- 4.14, 4.20, 4.22, 4.34, 4.40, 4.52, 4.64
- Cabled Jones polynomials
- - q-11/2 + 3q-9/2 + 4q-7/2 - q-5/2 - 7q-3/2 - 6q-1/2 + 2q1/2 + 4q3/2 + q5/2 - q7/2
- - q-23/2 + 3q-21/2 - 4q-19/2 + 3q-17/2 + 12q-8 + 8q-15/2 - 12q-7 - 19q-13/2 - 66q-6 - 82q-11/2 - 136q-5 - 177q-9/2 - 153q-4 - 157q-7/2 - 45q-3 - q-5/2 + 127q-2 + 230q-3/2 + 287q-1 + 341q-1/2 + 256 + 216q1/2 + 96q1 + 23q3/2 - 59q2 - 112q5/2 - 109q3 - 117q7/2 - 90q4 - 88q9/2 - 61q5 - 46q11/2 - 32q6 - 18q13/2 - 11q7 - 2q15/2 - q8 + q9
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (- s-1 + 1) t-1 + (s-1 - s) + (- 1 + s) t
- 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, 4.88, 4.94
- Self linking number
- -2