![](data:image/png;base64,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)
8
3
(K8a
18
)
A knot diagram
1
Linearized knot diagam
7 6 1 8 3 2 5 4
Solving Sequence
3,6
2 7 1 5 8 4
c
2
c
6
c
1
c
5
c
7
c
4
c
3
, c
8
Ideals for irreducible components
2
of X
par
I
u
1
= hu
8
− u
7
+ 5u
6
− 4u
5
+ 7u
4
− 4u
3
+ 2u
2
+ 1i
* 1 irreducible components of dim
C
= 0, with total 8 representations.
1
The image of knot diagram is generated by the software “Draw programme” developed by An-
drew Bartholomew(http://www.layer8.co.uk/maths/draw/index.htm#Running-draw), where we modi-
fied some parts for our purpose(https://github.com/CATsTAILs/LinksPainter).
2
All coefficients of polynomials are rational numbers. But the coefficients are sometimes approximated
in decimal forms when there is not enough margin.
1