Virtual Knot 4.74
- 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-U3-O4+O3-U4+U2-
- PD presentation
- PD[X[2,8,3,1], X[7,1,8,2], X[3,5,4,6], X[6,5,7,4]]
- Jones polynomial
- - q-5/2 + q-3/2 + q-1
- Other virtual knots (up to mirrors) with the same Jones polynomial
- 2.1, 3.3, 4.4, 4.5, 4.11, 4.18, 4.28, 4.30, 4.33, 4.38, 4.39, 4.44, 4.45, 4.49, 4.54, 4.62, 4.63, 4.83, 4.95, 4.101
- Cabled Jones polynomials
- - q-15/2 + q-13/2 + q-11/2 + q-9/2 - q-7/2 - 2q-5/2 - q-1/2
- q-17 - q-16 - 3q-31/2 - 7q-15 - 8q-29/2 - 12q-14 - 6q-27/2 + q-13 + 11q-25/2 + 35q-12 + 40q-23/2 + 51q-11 + 37q-21/2 + 9q-10 - 18q-19/2 - 65q-9 - 72q-17/2 - 81q-8 - 66q-15/2 - 24q-7 + 4q-13/2 + 47q-6 + 52q-11/2 + 56q-5 + 51q-9/2 + 25q-4 + 12q-7/2 - 9q-3 - 14q-5/2 - 14q-2 - 14q-3/2 - 6q-1 - 6q-1/2 - 2 - q1/2 + q3/2
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (- s-2 + s-1) t-3 + (2s-1 - 2) t-2 + (s-2 - 2s-1 + s) t-1 + (- s-1 + 2 - s)
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- 4.4, 4.5, 4.30, 4.54
- Self linking number
- -2