Virtual Knot 4.47
- 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+U1-O3+U4-U2+O4-U3+
- PD presentation
- PD[X[2,8,3,1], X[5,2,6,1], X[7,4,8,3], X[4,6,5,7]]
- 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, 4.55, 4.56, 4.59, 4.66, 4.67, 4.72, 4.76, 4.77, 4.85, 4.93, 4.96, 4.97, 4.98, 4.102, 4.103, 4.106, 4.107
- Cabled Jones polynomials
- 3q-7/2 + 3q-5/2 - 4q-3/2 - 8q-1/2 - 3q1/2 + 5q3/2 + 4q5/2 - q7/2 - q9/2
- q-9 - q-8 - q-15/2 - 8q-7 - 15q-13/2 - 31q-6 - 50q-11/2 - 49q-5 - 72q-9/2 - 63q-4 - 36q-7/2 - 5q-3 + 96q-5/2 + 108q-2 + 192q-3/2 + 187q-1 + 126q-1/2 + 101 - 60q1/2 - 66q1 - 157q3/2 - 143q2 - 81q5/2 - 74q3 + 23q7/2 + 11q4 + 40q9/2 + 30q5 + 3q11/2 + 10q6 - 10q13/2 - 2q7 - q15/2 - 2q8 + 3q17/2 + q19/2 - q21/2
- Other virtual knots (up to mirrors) with the same cabled Jones polynomials
- none
- Generalized Alexander polynomial
- (s-2 - 1) t-1 + (- s-1 + s) + (- s-2 + 1) t + (s-1 - s) t2
- Other virtual knots (up to mirrors/inversion) with the same Generalized Alexander polynomial
- 3.5, 3.7, 4.85, 4.86, 4.96, 4.106
- Self linking number
- 0