Virtual Knot 4.93
- 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-O4+U1-U3-U2-U4+
- PD presentation
- PD[X[4,8,5,1], X[6,1,7,2], X[5,2,6,3], X[7,4,8,3]]
- Jones polynomial
- 1
- Other virtual knots (up to mirrors) with the same Jones polynomial
- 0.1, 3.1, 3.7, 4.13, 4.19, 4.26, 4.35, 4.42, 4.46, 4.47, 4.55, 4.56, 4.59, 4.66, 4.67, 4.72, 4.76, 4.77, 4.85, 4.96, 4.97, 4.98, 4.102, 4.103, 4.106, 4.107
- Cabled Jones polynomials
- 3q-15/2 + 3q-13/2 - 5q-11/2 - 7q-9/2 + 6q-5/2 + 3q-3/2 - 4q-1/2 - 2q1/2 + q3/2
- q-33/2 - q-31/2 - 4q-15 - 6q-29/2 - 11q-14 - 23q-27/2 - 33q-13 - 50q-25/2 - 49q-12 - 90q-23/2 - 51q-11 - 59q-21/2 + 31q-10 + 69q-19/2 + 117q-9 + 215q-17/2 + 141q-8 + 196q-15/2 + 40q-7 + 14q-13/2 - 70q-6 - 135q-11/2 - 83q-5 - 128q-9/2 - 46q-4 - 34q-7/2 + 3q-3 + 19q-5/2 + 7q-2 + 13q-3/2 + 10q-1 + 2q-1/2 + 7 - 3q1/2 - 3q1 - q2 - 2q3 + q4
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (- s-2 + s-1) t-2 + (s-3 - 1) t-1 + (- s-3 + 1) + (s-2 - s-1) t
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- none
- Self linking number
- 0