Virtual Knot 4.14
- 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+U1-O3+U2+O4-U3+U4-
- PD presentation
- PD[X[2,8,3,1], X[4,2,5,1], X[6,4,7,3], X[7,5,8,6]]
- Jones polynomial
- - q-3/2 + q-1/2 + 2 - q1
- Other virtual knots (up to mirrors) with the same Jones polynomial
- 4.20, 4.22, 4.34, 4.40, 4.52, 4.60, 4.64
- Cabled Jones polynomials
- - q-11/2 + q-9/2 + 2q-7/2 + 2q-5/2 - q-3/2 - 4q-1/2 - 3q1/2 - q3/2 + q5/2 + q7/2 + q9/2
- - q-23/2 + q-21/2 + q-17/2 + 2q-8 - 5q-15/2 + 4q-7 + 3q-13/2 + 20q-6 + 27q-11/2 + 25q-5 + 35q-9/2 - 23q-4 - 48q-7/2 - 132q-3 - 172q-5/2 - 182q-2 - 186q-3/2 - 53q-1 + 23q-1/2 + 170 + 233q1/2 + 259q1 + 266q3/2 + 167q2 + 100q5/2 - 6q3 - 64q7/2 - 95q4 - 108q9/2 - 93q5 - 75q11/2 - 51q6 - 24q13/2 - 10q7 - 6q15/2 - q8 + 4q9 - q10
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (s-1 - 1) t-2 + (s-2 - s-1 - 1 + s) t-1 + (- s-2 - s-1 + 2) + (s-1 - s) t
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- 4.22, 4.39, 4.84
- Self linking number
- -2